[0.104067326,0.10524636,0.10355556,0.092906274,0.073718235,0.05407803,0.044477493,0.051388215,0.074312635,0.10739348,0.14188267,0.17095995,0.19117264,0.20342977,0.2095002,0.21090096,0.2079617,0.20124029,0.19208612,0.18275309,0.17606086,0.1740073,0.1768371,0.1825627,0.18841308,0.19175047,0.1902057,0.18128611,0.16361807,0.13894655,0.112104595,0.0892716,0.075493,0.07495638,0.088264294,0.11040629,0.12843698,0.12995425,0.11133793,0.083367296,0.06271601,0.062403817,0.08373345,0.11843902,0.15339732,0.1783766,0.18939823,0.1895747,0.184771,0.18036957,0.17868833,0.17983586,0.18275611,0.18693106,0.19260931,0.19981758,0.20774539,0.21468757,0.21989018,0.22320092,0.22522931,0.22608025,0.22601509,0.22471203,0.22118056,0.21437337,0.20482004,0.19544874,0.18902314,0.18604846,0.18389328,0.1801156,0.17410697,0.16783656,0.1630982,0.16040051,0.15811443,0.15478383,0.14990838,0.14465632,0.13924937,0.13285558,0.12362099,0.11144165,0.097702526,0.085002385,0.075048275,0.06838778,0.0642051,0.06133777,0.0589243,0.05674198,0.054935247,0.053613473,0.052713647,0.052028015,0.051334783,0.05050583,0.04953791,0.04851952,0.04750977,0.046510935,0.0454912,0.044462953,0.04347271,0.042552207,0.041662667,0.040718123,0.03968958,0.038803052,0.038584247,0.03974406,0.04269338,0.047543425,0.054191012,0.06283521,0.07344553,0.08530017,0.0964573,0.105044015,0.11045309,0.11473199,0.12103049,0.1322196,0.1482635,0.1671261,0.1853443,0.20049053,0.21121533,0.21753992,0.21986526,0.21872294,0.21489187,0.20997463,0.20605165,0.2034647,0.19851466,0.18475688,0.15854998,0.12462798,0.09552177,0.08434928,0.09633271,0.12578441,0.16043179,0.18922095,0.20683654,0.21313657,0.20932536,0.19707565,0.17869551,0.15792285,0.138108,0.12229476,0.113568574,0.11510409,0.12763749,0.1479482,0.17038362,0.1898579,0.20351076,0.20991121,0.20942245,0.20431978,0.19910258,0.19674669,0.19725452,0.19693005,0.19312687,0.18565631,0.17787385,0.17246687,0.17037833,0.17003047,0.17029734,0.17113245,0.17340994,0.1772799,0.18203342,0.18654639,0.18971324,0.19019002,0.18664904,0.17912664,0.1696216,0.16146083,0.15577997,0.15149058,0.1456445,0.13800804,0.12964354,0.122797035,0.11750255,0.113731585,0.11183786,0.11339744,0.119402386,0.12816715,0.13618787,0.13884477,0.1347583,0.12482071,0.11327678,0.1029706,0.09608469,0.09222353,0.09154713,0.09405228,0.100447394,0.10987341,0.12012396,0.12761663,0.12996644,0.12673676,0.120437324,0.11483111,0.11336979,0.11666742,0.12226238,0.12655215,0.12737952,0.12511833,0.12110541,0.11671499,0.11271814,0.11038677,0.111380406,0.11859653,0.13440378,0.15916972,0.18824144,0.21398146,0.22898239,0.23107712,0.22373585,0.21415137,0.20850931,0.20777375,0.20659183,0.19743861,0.17759144,0.1528337,0.13354492,0.12660663,0.12993802,0.13452435,0.13190357,0.12015667,0.10496438,0.09503957,0.09635637,0.108603835,0.12541111,0.13953708,0.14729905,0.15117602,0.15633066,0.16682822,0.18253954,0.19990014,0.21440446,0.22309886,0.22550927,0.22272801,0.21627371,0.20796366,0.1994689,0.19237411,0.18660022,0.18116546,0.17407958,0.16458791,0.15315764,0.14204012,0.13365209,0.13000955,0.13191925,0.13898323,0.14923148,0.15965636,0.16728456,0.17092519,0.17109124,0.16949351,0.16736174,0.16540296,0.16357154,0.16146348,0.15845512,0.15360922,0.14664644,0.13790834,0.12945719,0.12339747,0.12127524,0.12195566,0.122866414,0.120947264,0.115115814,0.10638713,0.09741972,0.09048924,0.08653081,0.0853093,0.08716279,0.09292155,0.10285816,0.11452385,0.12437878,0.12961048,0.13030052,0.12779066,0.12345775,0.117645286,0.110773176,0.10391871,0.0995211,0.099856324,0.10614675,0.116453625,0.12758219,0.13604444,0.14100009,0.14273451,0.14230949,0.13965183,0.13465959,0.12743439,0.11946576,0.11295044,0.10997375,0.11080869,0.11381962,0.116684414,0.1182699,0.11926774,0.12084171,0.123175114,0.124572195,0.12264961,0.115526594,0.103286006,0.08770356,0.071532905,0.056834977,0.044393364,0.033885546,0.024976103,0.017797815,0.012723078,0.009767582,0.008399996,0.007877001,0.0076112896,0.00736888,0.0072345533,0.007778457,0.010790005,0.020219462,0.04205969,0.08084314,0.13460582,0.19207056,0.23749702,0.2594274,0.2573344,0.23976016,0.21779162,0.199046,0.18625785,0.17869689,0.1741942,0.17052169,0.16614456,0.16053806,0.15395622,0.14693373,0.13990007,0.13330454,0.12790903,0.124785036,0.12450093,0.12646468,0.1287513,0.12932819,0.12704797,0.12238134,0.11656695,0.11087956,0.10579413,0.10131096,0.097135216,0.09308221,0.08895727,0.084738754,0.080687195,0.07768967,0.07727105,0.081142336,0.08984377,0.10168082,0.11282637,0.11938504,0.11908629,0.111960225,0.09945025,0.08394501,0.06819148,0.054827865,0.045946587,0.043604735,0.049796972,0.06509314,0.08638742,0.10748315,0.12229186,0.12871963,0.12869138,0.12583958,0.12237361,0.1188131,0.11476404,0.11088856,0.10954392,0.1147961,0.1300779,0.15505923,0.18379267,0.20671748,0.21645401,0.21184422,0.19911565,0.1866677,0.1811891,0.18331628,0.19018972,0.19705623,0.20109789,0.20100623,0.19863243,0.19812424,0.20431858,0.21795195,0.2346735,0.2483486,0.25590062,0.25763407,0.25430313,0.24566512,0.23228072,0.21681017,0.20261155,0.19053172,0.17892449,0.16603166,0.1534573,0.14585511,0.14778553,0.16007937,0.17831041,0.19536807,0.20474662,0.20537211,0.20241046,0.20479035,0.218413,0.24170445,0.2674288,0.28808188,0.30015087,0.30310774,0.29745057,0.28481987,0.2690863,0.25638717,0.25074303,0.25164667,0.25361264,0.25107905,0.24114914,0.2251751,0.20630299,0.18841128,0.1741988,0.16574827,0.1638698,0.1687903,0.17899539,0.19139862,0.20143984,0.20499615,0.19990747,0.1873346,0.171107,0.1562763,0.14669113,0.14466552,0.14983328,0.15946527,0.167544,0.16907127,0.16297318,0.15428253,0.14879374,0.14946042,0.15488066,0.16236846,0.16905732,0.17171049,0.16734155,0.1557345,0.14148577,0.13119863,0.12924133,0.13478707,0.14475287,0.15679318,0.17093207,0.18677308,0.2022084,0.21379918,0.21979834,0.22100608,0.21985774,0.21783377,0.21492933,0.21042925,0.20456094,0.19873644,0.19451933,0.19248182,0.19157773,0.19045316,0.18824732,0.1850043,0.18013214,0.17186637,0.15810205,0.13845718,0.11539049,0.09314346,0.07558144,0.06440654,0.05906136,0.05775256,0.05845901,0.05955048,0.060111016,0.06027778,0.06099389,0.06320094,0.06702555,0.0716039,0.07550725,0.07721459,0.07635046,0.075112425,0.07936334,0.095380835,0.12516505,0.16270149,0.19799048,0.22288571,0.23597054,0.24123591,0.2459412,0.25655627,0.27526343,0.29672948,0.31135258,0.31170198,0.29821113,0.2773337,0.2565365,0.24015479,0.22987063,0.22615738,0.22901236,0.23656195,0.24539173,0.25165102,0.25341776,0.25029394,0.24316551,0.23336737,0.22366256,0.21676253,0.21412991,0.21389349,0.2130255,0.20936204,0.20447452,0.20242144,0.20652848,0.21577774,0.22390305,0.22474013,0.21648286,0.20460343,0.19576478,0.1942901,0.19858731,0.20564549,0.21214706,0.21718808,0.21982513,0.21972688,0.21595655,0.20807278,0.1962518,0.18183018,0.16759485,0.15660079,0.15156132,0.15307666,0.16000463,0.16974425,0.18116863,0.19476382,0.21211107,0.23129494,0.24763434,0.2554814,0.2544386,0.24885015,0.24567144,0.24867658,0.2571907,0.26687226,0.2732164,0.27357844,0.26745299,0.2551898,0.23745881,0.21590756,0.19352476,0.17332931,0.15623857,0.1409304,0.12573932,0.11079383,0.09777459,0.08824622,0.08232686,0.0789516,0.07692367,0.07553032,0.0745369,0.07379046,0.07309709,0.07232132,0.07157368,0.07124003,0.071699135,0.07304567,0.0748628,0.076228,0.07578942,0.0726148,0.06789104,0.06664148,0.07610064,0.100847155,0.13767074,0.17673881,0.20782502,0.22706562,0.23777558,0.24700773,0.26065043,0.2800564,0.30118975,0.31668687,0.32056955,0.3111161,0.29146084,0.26779112,0.24814855,0.23952574,0.24365218,0.2542741,0.26018822,0.25273666,0.23185617,0.20543174,0.1838247,0.173522,0.17634119,0.1900577,0.21133769,0.23424675,0.25305685,0.26269826,0.2624329,0.25341192,0.23880763,0.22280777,0.21097471,0.20770474,0.21209632,0.21793468,0.21699317,0.20576727,0.18713306,0.16809352,0.1549418,0.15060695,0.15520622,0.16625525,0.17988442,0.19080049,0.19460559,0.18873519,0.17399772,0.15425836,0.13552934,0.12360129,0.121451735,0.12855774,0.14105569,0.15389417,0.16124348,0.159303,0.14717388,0.1298774,0.115765125,0.1140788,0.12798066,0.15359466,0.18076973,0.20081985,0.21019882,0.21188675,0.21033694,0.20876741,0.2083851,0.21110739,0.21946603,0.23465681,0.25365242,0.270929,0.28183925,0.28577784,0.28479305,0.2818035,0.2788576,0.2773765,0.2774345,0.27757204,0.2745568,0.26448503,0.24437909,0.2149868,0.18247585,0.15672845,0.14560838,0.14921151,0.15940641,0.16419835,0.15551,0.13286242,0.10419646,0.07949396,0.06628681,0.06638884,0.07869643,0.10043472,0.12726521,0.1529895,0.17223942,0.1840217,0.19265927,0.20376666,0.22080164,0.24163401,0.2615813,0.27419102,0.27625895,0.2672912,0.25185648,0.23560393,0.22359633,0.21665716,0.21304202,0.21037899,0.2077676,0.20559199,0.2042321,0.20385696,0.20392366,0.20402543,0.20362566,0.2023951,0.19927634,0.19274707,0.18164533,0.1668846,0.1510241,0.13651018,0.12323644,0.1093562,0.093259156,0.075984806,0.060165633,0.049054902,0.045452897,0.052656133,0.07184405,0.09954959,0.12561573,0.139069,0.13446735,0.11649778,0.096233524,0.085068025,0.088395156,0.10328155,0.12008939,0.12886809,0.12620214,0.117953904,0.113307275,0.11651174,0.12211332,0.120459296,0.1057393,0.08142872,0.056796566,0.041399997,0.040996026,0.0569336,0.086163424,0.120838225,0.15145905,0.1709264,0.17849724,0.1776733,0.17280073,0.16589136,0.15699507,0.14529146,0.1301158,0.111385636,0.09009951,0.068500005,0.049422797,0.034885533,0.025418893,0.020529477,0.019712454,0.022557251,0.028162336,0.034970608,0.041387092,0.046549767,0.050320428,0.05279019,0.053742576,0.052693114,0.049792547,0.04725009,0.049905922,0.06295374,0.08820935,0.121747755,0.15620016,0.18495096,0.20492004,0.21595354,0.21922566,0.21680373,0.21165796,0.20702834,0.20499681,0.20574968,0.20849065,0.21242796,0.21744072,0.22301108,0.22815736,0.2316425,0.23350859,0.23461987,0.23602982,0.23770542,0.23914711,0.23980105,0.23948826,0.23831706,0.23657984,0.23505755,0.23470886,0.23688541,0.24270754,0.25274742,0.26620647,0.28092608,0.2939886,0.3028435,0.3063805,0.30553934,0.30268136,0.299801,0.29619563,0.2879605,0.27065316,0.24315542,0.20978023,0.17696308,0.14862186,0.124666445,0.10537401,0.096714504,0.10768332,0.14257962,0.19305962,0.24280119,0.27702415,0.2919701,0.2931721,0.2891269,0.285283,0.28299877,0.2819189,0.28087425,0.2792547,0.27639905,0.27324995,0.2711911,0.27155957,0.27349105,0.27467635,0.2722539,0.26500496,0.25317046,0.23843469,0.22187515,0.20422919,0.18546696,0.16664676,0.14952363,0.13622054,0.12757607,0.122913994,0.120754845,0.11967356,0.11889551,0.11793689,0.11726751,0.11820799,0.1232422,0.13276081,0.14392711,0.14941914,0.14349408,0.12543143,0.10302151,0.08746522,0.08765992,0.104337335,0.12961583,0.15258467,0.16561651,0.16988678,0.1722164,0.18014233,0.19485568,0.21184923,0.22419949,0.22866283,0.22669591,0.22231758,0.21805692,0.21293825,0.20471443,0.1932372,0.18389373,0.18467914,0.20088618,0.22884934,0.25798032,0.27738604,0.28365692,0.2806178,0.2745917,0.26904067,0.26457265,0.26096293,0.2585161,0.25702882,0.2548139,0.24955924,0.24027608,0.22832805,0.21686305,0.20902531,0.20758213,0.21377976,0.22723818,0.2443722,0.26056063,0.27191928,0.2775354,0.27706623,0.26979575,0.25467774,0.23355591,0.21042705,0.18967237,0.17295747,0.1607355,0.1532644,0.15178402,0.15711474,0.16978054,0.19001411,0.2170862,0.24740754,0.2741453,0.2907233,0.29493284,0.2902416,0.28208053,0.27381936,0.26513702,0.25410625,0.23969586,0.22296327,0.20627499,0.19171916,0.18038349,0.17229654,0.16720237,0.16447176,0.16327871,0.16242392,0.16104592,0.15882905,0.15617706,0.15366007,0.15160185,0.14981811,0.14779264,0.14513303,0.14192112,0.13867617,0.13598062,0.13403378,0.13263735,0.13139632,0.13005288,0.1289035,0.12895237,0.13171089,0.13733388,0.14302067,0.14315791,0.13309729,0.11374087,0.09248076,0.08002702,0.08322265,0.101619005,0.12670968,0.14849353,0.160049,0.16104184,0.15454786,0.1440605,0.13133001,0.11746749,0.10537543,0.10042205,0.108692266,0.13185047,0.16416456,0.19375129,0.21018596,0.21154475,0.2073154,0.21141274,0.23303623,0.26865515,0.3058859,0.33103335,0.3386251,0.33131757,0.3168329,0.30171224,0.28926355,0.27864197,0.2668305,0.25058514,0.22900201,0.20373277,0.17837536,0.1566592,0.14188983,0.13675702,0.14235978,0.15815161,0.1807738,0.20666413,0.23156463,0.25289297,0.26795366,0.27609476,0.2774422,0.27404994,0.26725578,0.25733033,0.24235415,0.22097574,0.19385076,0.16435428,0.13581885,0.11173869,0.0973827,0.10180968,0.1316749,0.18435414,0.24488318,0.29575133,0.32666877,0.33922505,0.34041157,0.33628353,0.32936156,0.3211024,0.31380942,0.3099204,0.3101798,0.31281325,0.31476143,0.3132561,0.307061,0.2966107,0.28360417,0.2695966,0.25447917,0.23688056,0.2160042,0.19436139,0.17659034,0.1676939,0.16982293,0.18202408,0.19973432,0.21658878,0.22711436,0.22960873,0.22641666,0.2212969,0.21694118,0.21430705,0.21378374,0.21571676,0.21967876,0.22361076,0.2245947,0.2214409,0.21601014,0.2124288,0.21334596,0.21852116,0.22480221,0.2294929,0.23110081,0.22968312,0.2251982,0.21808636,0.20952995,0.20143007,0.19494641,0.19008142,0.18669617,0.18553828,0.18721998,0.18951766,0.18698545,0.17516606,0.15752119,0.1473338,0.15989794,0.19991721,0.25536478,0.3052381,0.3335625,0.3382711,0.32805267,0.31375232,0.30171323,0.29313526,0.28645504,0.28028536,0.27437386,0.26943353,0.26574755,0.26290515,0.2602279,0.25792417,0.2572167,0.25918937,0.2633331,0.26658294,0.2645222,0.25399452,0.23648864,0.21880816,0.20965911,0.21359514,0.22800778,0.24538727,0.25927928,0.26723328,0.2706202,0.27140117,0.27089837,0.26941597,0.26796672,0.2689079,0.27494097,0.28635812,0.29941437,0.30852804,0.30947816,0.30219784,0.28960994,0.27640244,0.26593164,0.25908843,0.25345933,0.24664621,0.23875618,0.23371561,0.23471718,0.2417932,0.24976565,0.25273916,0.24449496,0.22283737,0.18991657,0.15646711,0.13568044,0.1360882,0.15287834,0.1731178,0.18517084,0.18796168,0.18809395,0.19273879,0.20274514,0.21415822,0.22277255,0.22863947,0.2346213,0.24315624,0.25274476,0.25839925,0.25378957,0.23564188,0.20717543,0.1778398,0.15762566,0.1497737,0.14973629,0.1509952,0.15251105,0.15809,0.17064542,0.18601276,0.19595702,0.19398952,0.18175901,0.16735293,0.16046365,0.16566354,0.18045537,0.19786161,0.21182276,0.21999349,0.22326589,0.2235898,0.22564638,0.23868728,0.2748878,0.33905682,0.41939345,0.48957717,0.5252971,0.52049524,0.4893566,0.45251894,0.42365023,0.40457878,0.39184535,0.38135478,0.3718656,0.3625187,0.35333446,0.34411135,0.33547124,0.32770428,0.32109272,0.31624022,0.31422707,0.31561157,0.31869277,0.3214114,0.32293677,0.32616237,0.33136216,0.33378455,0.3215201,0.28770974,0.2355905,0.18040921,0.13718086,0.11471989,0.11304221,0.12774281,0.1523295,0.18054153,0.20829487,0.23332858,0.25406793,0.2675464,0.27241674,0.2699556,0.26460537,0.2600262,0.25754473,0.25622413,0.25413212,0.25003985,0.24391775,0.23787646,0.23515588,0.23821859,0.24669494,0.2563162,0.26065597,0.2541081,0.23580189,0.21030937,0.185372,0.16746818,0.16210093,0.1770531,0.22377487,0.30629516,0.40785912,0.49102846,0.5217743,0.4953314,0.43877065,0.3865664,0.3560771,0.34327176,0.33699718,0.33133402,0.32895783,0.33405912,0.34681442,0.35962954,0.36223963,0.34841278,0.32248005,0.29718104,0.28629032,0.2951539,0.31841937,0.34364185,0.36094132,0.3665752,0.36353335,0.35543975,0.34534624,0.33458295,0.3245506,0.315913,0.30884358,0.3033574,0.2998569,0.29805842,0.2974368,0.2994161,0.311415,0.34275365,0.3963113,0.45872593,0.5069664,0.5223727,0.50528926,0.47124407,0.43812248,0.41417596,0.39781788,0.38436815,0.37096202,0.35760382,0.3450825,0.3341863,0.3252983,0.31847677,0.31326702,0.3088324,0.30446914,0.2997621,0.29456785,0.28875652,0.28396323,0.28379866,0.29298082,0.3100932,0.32550144,0.32325372,0.2947955,0.24519517,0.1932267,0.15790333,0.14892901,0.1617559,0.18330835,0.2013609,0.21278493,0.22393964,0.24247988,0.26908293,0.29616424,0.31521317,0.32301253,0.32245815,0.31768462,0.3108245,0.30154526,0.28951406,0.2758864,0.26378974,0.25646996,0.25619534,0.26255715,0.27290118,0.28249064,0.28814486,0.2906686,0.2964045,0.31078365,0.333614,0.35516357,0.36730525,0.3712823,0.38386598,0.41933644,0.47516307,0.5243697,0.5391342,0.5106732,0.45834997,0.4084934,0.3776538,0.36364615,0.35772932,0.35300443,0.35078135,0.35398734,0.36239433,0.36800984,0.361998,0.34307936,0.32412574,0.32693905,0.3655411,0.43306318,0.49844244,0.5297512,0.51322544,0.46526954,0.41245976,0.37489793,0.354079,0.34253648,0.33260217,0.32259846,0.314201,0.3089671,0.30605683,0.30305055,0.29924524,0.29929268,0.31391993,0.35104457,0.40518832,0.4535097,0.47253954,0.4564058,0.4225345,0.3939573,0.38174343,0.38149413,0.38375387,0.38332978,0.37975535,0.3737787,0.36523667,0.3534718,0.33948588,0.32509422,0.3131797,0.3048304,0.30091915,0.3013227,0.3058542,0.3132715,0.32188603,0.33182588,0.34357533,0.3556293,0.3612236,0.35292327,0.32919812,0.2970581,0.26691142,0.24533482,0.23360367,0.23027343,0.23349363,0.24138321,0.25222412,0.26595947,0.28242326,0.2998602,0.31351116,0.3199964,0.31818727,0.30948463,0.29399148,0.27170095,0.24383558,0.21436296,0.18854713,0.17044444,0.1621729,0.16304678,0.1706203,0.18104786,0.19067325,0.19716622,0.19977053,0.19928761,0.19688125,0.19376802,0.192095,0.19727315,0.2199864,0.26898938,0.34083855,0.4120394,0.45368055,0.45174518,0.42005575,0.38503906,0.36537373,0.3614746,0.36441776,0.36746824,0.37069595,0.37773883,0.38920298,0.4000691,0.4014008,0.3887782,0.36557296,0.34178522,0.32511172,0.31807777,0.31749347,0.31947353,0.32080695,0.31989467,0.31600747,0.30918422,0.30157742,0.2957823,0.2940479,0.2950486,0.29627797,0.29556155,0.29336178,0.29098904,0.28913215,0.2892343,0.2962061,0.3187013,0.36019012,0.41070524,0.44783226,0.45436236,0.43232492,0.40137306,0.3798355,0.37218025,0.37112096,0.36874974,0.36261263,0.3533455,0.3424898,0.33047107,0.3187422,0.30805412,0.29965082,0.29402825,0.29216155,0.294485,0.30019507,0.30684403,0.3116884,0.31453678,0.31907156,0.32934153,0.34456944,0.35625586,0.35412082,0.3340067,0.30199268,0.26967707,0.24611448,0.23321442,0.22678237,0.22173421,0.21687925,0.21572144,0.22291549,0.23864277,0.25746533,0.27185595,0.27788684,0.27647838,0.27105466,0.2643337,0.25778773,0.25187087,0.24676086,0.24285246,0.24309307,0.25216147,0.27395174,0.30559298,0.33875433,0.36347643,0.37601784,0.37788853,0.37415016,0.36791757,0.3617986,0.3576338,0.360052,0.37517622,0.4067897,0.44833508,0.4807186,0.48435533,0.45493832,0.4101845,0.37438074,0.36095336,0.36474708,0.37279096,0.37637484,0.37588072,0.37639403,0.37897623,0.37852994,0.3653876,0.33698127,0.30243513,0.2837261,0.29972938,0.35197082,0.4160422,0.45662984,0.45106998,0.4047352,0.34319627,0.29083887,0.25767788,0.2396785,0.22887439,0.21890277,0.20767967,0.19650441,0.18877316,0.18680741,0.1898676,0.19684154,0.21192616,0.24560231,0.30590895,0.38560906,0.46058187,0.50362045,0.5037648,0.47181535,0.4297918,0.39456192,0.37092626,0.3545563,0.33964077,0.32363573,0.30876696,0.2996966,0.29962364,0.30693066,0.31566465,0.32004142,0.31834686,0.31342193,0.30867565,0.30527326,0.30252317,0.30105892,0.3047321,0.31620586,0.33247265,0.34246993,0.33585665,0.31000805,0.273181,0.23692061,0.20906807,0.19080186,0.17819218,0.16704701,0.15598243,0.14964049,0.15457594,0.17372341,0.20096485,0.22452794,0.23462154,0.22956574,0.2156132,0.20127292,0.19202463,0.18718119,0.18165106,0.17018197,0.15193528,0.13177615,0.117470644,0.11573323,0.1284424,0.15188904,0.17689703,0.19326389,0.1939558,0.18018539,0.1595992,0.14427255,0.14605416,0.17681266,0.2408839,0.3293412,0.41505054,0.46917984,0.47817686,0.45506632,0.42391053,0.40334257,0.39499056,0.3913822,0.38452873,0.37402079,0.36438382,0.36000428,0.35911906,0.3550088,0.3423008,0.32266653,0.30545625,0.30164686,0.31662622,0.34594667,0.3771472,0.39820442,0.40335986,0.39596674,0.38258338,0.36935434,0.35831717,0.34896553,0.3392638,0.32764134,0.3141491,0.30084977,0.29050136,0.28502437,0.28599715,0.29810837,0.3289331,0.38156554,0.44568548,0.49802184,0.5184023,0.5031707,0.4682556,0.43295932,0.40871814,0.39364934,0.38146415,0.36723605,0.35178843,0.33872047,0.33175674,0.33114997,0.33432245,0.3366569,0.33558348,0.33076513,0.32534614,0.3222679,0.3238341,0.33002606,0.34039518,0.354161,0.36861995,0.3783162,0.37547195,0.3568734,0.32544878,0.29000852,0.25756565,0.23188837,0.21319647,0.20082285,0.1929301,0.18809424,0.18748225,0.19557464,0.21532065,0.24370778,0.27135092,0.28942072,0.2947106,0.29103515,0.2849255,0.28135344,0.2811543,0.28140828,0.27902997,0.27375594,0.2690073,0.2680123,0.27065372,0.27327472,0.2735958,0.2743601,0.28352657,0.30616257,0.33953384,0.37006232,0.38656703,0.38861486,0.3945485,0.4229407,0.47724175,0.53291506,0.55942416,0.5408507,0.491375,0.43630934,0.39543846,0.37023616,0.35469595,0.3435632,0.3388547,0.34342936,0.35555515,0.36552104,0.3623786,0.34361628,0.32142702,0.31906733,0.3534485,0.42093825,0.49105635,0.528785,0.515705,0.46552372,0.40637708,0.36276248,0.34014216,0.33237997,0.32921013,0.32502726,0.3181778,0.31084636,0.30535388,0.30295613,0.30364314,0.30950832,0.3268043,0.36098576,0.40778294,0.4496152,0.46722174,0.45628202,0.43115163,0.41180933,0.4064201,0.4101831,0.41345954,0.41199687,0.4063913,0.3988373,0.39060107,0.38163903,0.3723837,0.36317232,0.35529745,0.35031638,0.34944966,0.35279956,0.35767674,0.36121115,0.36182666,0.3618712,0.36458227,0.3693706,0.37018844,0.35809156,0.33036903,0.29206958,0.2543737,0.22457038,0.20335563,0.18464452,0.16286467,0.13798317,0.118331164,0.11589795,0.13614205,0.17266674,0.20863688,0.23096569,0.23539503,0.22896604,0.21887381,0.21043158,0.2039016,0.19921511,0.19585584,0.194156,0.19396335,0.19468457,0.19515415,0.19427247,0.19152606,0.18710051,0.18179798,0.1764691,0.17138398,0.16522925,0.15683776,0.1495679,0.1562882,0.19326384,0.2649833,0.3500557,0.41236052,0.4272581,0.40304407,0.36898807,0.3510667,0.3532981,0.36597863,0.3776579,0.38573357,0.39277062,0.4016496,0.40971622,0.41009068,0.39842534,0.3777605,0.3577099,0.34598923,0.34337732,0.3438199,0.34018108,0.32930672,0.31346953,0.29821908,0.28884667,0.28790477,0.2946076,0.30514225,0.31456384,0.31935057,0.31901637,0.31536725,0.3096191,0.30199218,0.293641,0.29076433,0.30393124,0.33972597,0.38991353,0.43045405,0.43896663,0.41370603,0.37601793,0.3500613,0.34433582,0.3504164,0.35646656,0.35747632,0.35484996,0.3513905,0.3476051,0.3420494,0.33310983,0.32066652,0.30759978,0.29777935,0.29452667,0.29693043,0.30146098,0.30435896,0.30617562,0.31111994,0.32214704,0.33512798,0.33906707,0.32401752,0.29011676,0.248158,0.21193385,0.18861638,0.177217,0.17252952,0.17066783,0.17142843,0.17770477,0.19386102,0.22072983,0.2539561,0.28349334,0.3012528,0.3041837,0.29677084,0.2857844,0.27789414,0.2760816,0.2791425,0.28247333,0.2814792,0.2755133,0.26757294,0.2614458,0.25744888,0.25293183,0.24463864,0.2323597,0.21875168,0.20766605,0.20090199,0.19688408,0.19081908,0.17845453,0.15991564,0.14137356,0.12978931,0.12695958,0.12696719,0.12212175,0.10978707,0.095489085,0.08899814,0.09705723,0.11881658,0.1458566,0.16897623,0.18330519,0.19036435,0.19357383,0.19513468,0.19526982,0.19423217,0.19294764,0.19203915,0.19127382,0.1900245,0.18827362,0.18633361,0.18447123,0.1828254,0.18201168,0.18280776,0.18536584,0.18865605,0.19116324,0.192149,0.19239348,0.19408764,0.19916908,0.2079091,0.2178452,0.22567628,0.22885449,0.22738539,0.22250669,0.21609445,0.20912659,0.20228796,0.1958011,0.19032635,0.18630628,0.18374424,0.18168832,0.17925952,0.17639498,0.17410082,0.17321746,0.17362349,0.17408651,0.17354546,0.17157353,0.16866368,0.16505079,0.16089876,0.15604018,0.15102483,0.14657404,0.143649,0.14257048,0.14310367,0.14415587,0.14424075,0.14221253,0.13820238,0.13367659,0.13038306,0.12908573,0.12923886,0.12963633,0.12946136,0.12858106,0.12742217,0.12632583,0.1252465,0.12377756,0.12154143,0.11879647,0.11637055,0.11532274,0.11605155,0.1180725,0.12018866,0.121202074,0.1204981,0.118388295,0.11562764,0.11287544,0.110059,0.10724414,0.104848705,0.10387879,0.10458606,0.106404416,0.10810723,0.10882101,0.1081292,0.10605079,0.102659196,0.09811154,0.09278581,0.08777379,0.084718086,0.08498982,0.088520795,0.09363827,0.09807705,0.100338526,0.1002877,0.098732,0.09654348,0.09397325,0.09078588,0.08682605,0.0827941,0.07984208,0.07887754,0.07961756,0.081066094,0.08218158,0.08262986,0.082529925,0.08207944,0.081194274,0.07955309,0.07689527,0.07343823,0.070138335,0.06828993,0.06862911,0.07068326,0.073052056,0.0745622,0.07554591,0.07820872,0.08589992,0.10050706,0.120559216,0.14075899,0.15519662,0.16073285,0.15856771,0.1526651,0.14667195,0.14246018,0.13992558,0.138496,0.1377688,0.13763173,0.13778262,0.13742591,0.1357358,0.13206261,0.12652886,0.1197189,0.112751596,0.106584944,0.1020237,0.09939303,0.09876749,0.0998236,0.10189417,0.1040068,0.105227046,0.10507431,0.10370787,0.10174757,0.09979267,0.098138876,0.096658714,0.09510798,0.09333407,0.09162455,0.090471715,0.09014404,0.09013326,0.08942998,0.08733815,0.084216475,0.0812071,0.07947108,0.079389095,0.08068791,0.082721375,0.085110314,0.08770808,0.09049007,0.09291033,0.0939855,0.09277315,0.0894172,0.08499009,0.0806667,0.07641587,0.07130658,0.06442408,0.056107372,0.04764673,0.040549126,0.035509598,0.032417927,0.030630829,0.029574564,0.028863417,0.028354866,0.02796697,0.027652547,0.027333425,0.026917642,0.026351131,0.026103945,0.02802737,0.035972554,0.053949583,0.082073234,0.1129361,0.13377114,0.13424517,0.11409533,0.08439889,0.060973037,0.056682695,0.07484737,0.10892735,0.1443088,0.16609935,0.16478048,0.14137003,0.10462106,0.066946976,0.03865913,0.026498849,0.034218382,0.061597098,0.103467524,0.14813262,0.18454136,0.20752878,0.22182226,0.23498845,0.25153413,0.269326,0.28307864,0.28894797,0.28670108,0.27914867,0.2693738,0.2596583,0.25097862,0.24381478,0.23822619,0.23420912,0.23175949,0.23087972,0.23109753,0.23126657,0.23006938,0.2270156,0.22278167,0.21859856,0.2150926,0.21205111,0.20871635,0.2048242,0.20062427,0.19702578,0.19465268,0.19343694,0.1917348,0.18673779,0.17556064,0.15704906,0.13274653,0.10622651,0.08140621,0.060829133,0.045273963,0.03430199,0.027094716,0.022921316,0.021117834,0.02108177,0.02212225,0.023496171,0.024429612,0.024385089,0.023278238,0.021481795,0.019555727,0.017893115,0.01656128,0.0153855765,0.01416507,0.012886512,0.011729453,0.010956176,0.0106629245,0.0107212635,0.010838448,0.010758832,0.01036667,0.009705313,0.008926418,0.0082044015,0.007646171,0.007250014,0.0069511323,0.006724997,0.0065922993,0.006580396,0.0066392287,0.0067061395,0.0075302585,0.011657792,0.024183735,0.049631942,0.08803191,0.13106927,0.1659121,0.18080918,0.171957,0.14348613,0.10624529,0.07334781,0.057342947,0.06452193,0.09241637,0.12883508,0.15859501,0.16943134,0.15810703,0.12923715,0.09301076,0.06022999,0.039759632,0.037139356,0.053932954,0.08686357,0.12695687,0.16329287,0.18883847,0.20472379,0.21717598,0.23120575,0.24655807,0.25942007,0.26608416,0.26539806,0.25819135,0.24673446,0.23360555,0.22154897,0.21213643,0.20586486,0.20252846,0.20226902,0.20530711,0.21077858,0.21649878,0.21983092,0.21953352,0.21590875,0.21029367,0.2038955,0.19779141,0.19255526,0.18830977,0.18400769,0.17845936,0.17085813,0.16243899,0.15521319,0.15110803,0.14995025,0.15046746,0.15118879,0.15198016,0.1543028,0.1610757,0.17542706,0.1970556,0.22055306,0.23666847,0.2395407,0.23007762,0.21517885,0.2010495,0.18988031,0.18012394,0.16973962,0.15881407,0.14963467,0.1453744,0.14728862,0.15397567,0.16207533,0.16888832,0.1733774,0.17596062,0.17682008,0.17503648,0.1691583,0.1587746,0.14619046,0.13572872,0.13198793,0.13692701,0.14898731,0.16373456,0.17657073,0.18513565,0.18984385,0.1926282,0.19494914,0.19737427,0.19969715,0.20181555,0.20403755,0.20748518,0.21365274,0.22354014,0.2363537,0.24856812,0.2538106,0.24508364,0.21945484,0.18163162,0.14307879,0.11535629,0.104688525,0.10933194,0.12155438,0.1303152,0.12692595,0.11120477,0.093220234,0.0869337,0.09948329,0.12629531,0.15476812,0.17362984,0.18108898,0.18795075,0.21421571,0.27447596,0.3634783,0.4510746,0.50257343,0.50246054,0.46494147,0.41728818,0.3795589,0.3560022,0.34179902,0.3314629,0.32275558,0.3153964,0.3099897,0.30587748,0.30266488,0.29966974,0.29729363,0.29456916,0.29045865,0.2841663,0.27672383,0.2696934,0.26417348,0.26080242,0.25938043,0.2589662,0.25713384,0.2519143,0.24274631,0.23165543,0.22141086,0.21414977,0.209701,0.20655705,0.20306952,0.19886263,0.19446345,0.19042212,0.18669204,0.1827277,0.17826666,0.1733504,0.16827174,0.16306753,0.15770699,0.15210545,0.14603464,0.13921766,0.13147314,0.123321734,0.1155589,0.109032415,0.103863634,0.09971712,0.097191714,0.09949818,0.113612495,0.14474607,0.19103199,0.23816438,0.2699041,0.28026423,0.28590405,0.313217,0.37588337,0.45427656,0.50727403,0.50365406,0.4471543,0.37013784,0.3056419,0.267765,0.25167543,0.2475239,0.24883346,0.2538003,0.26120198,0.2692999,0.2765292,0.2833271,0.29067254,0.2985158,0.30492988,0.308308,0.3083832,0.30603477,0.30180004,0.2957336,0.28781363,0.27843773,0.2679263,0.2560661,0.24256897,0.2285745,0.21786147,0.21466844,0.22066472,0.2320956,0.24320562,0.25166035,0.2639455,0.2928404,0.34501073,0.41093206,0.46373585,0.48006484,0.4545217,0.40541247,0.35584,0.3214167,0.30361167,0.29753172,0.2970856,0.2985575,0.30010498,0.30094162,0.30047664,0.29818472,0.29445648,0.29040694,0.28723434,0.28451127,0.28122482,0.27664945,0.2719426,0.26840374,0.26657927,0.26520532,0.26277688,0.25849518,0.25299942,0.24781412,0.24399872,0.24172519,0.23982763,0.23747714,0.23410957,0.22998886,0.22513787,0.21974544,0.2141475,0.20889312,0.20433454,0.20010318,0.19545029,0.18945055,0.18207325,0.17377733,0.16562648,0.15790056,0.15061189,0.14347257,0.13702728,0.13228653,0.12996684,0.12958592,0.12928176,0.12858735,0.13041848,0.1425858,0.17042904,0.21141465,0.25050077,0.27388015,0.28053752,0.2917479,0.3305355,0.4003967,0.4705685,0.5017062,0.47548434,0.41186044,0.34663785,0.30609515,0.2931316,0.2978762,0.30828977,0.31684908,0.31966284,0.3165386,0.30989695,0.3031123,0.29944372,0.30291545,0.3209163,0.36058354,0.4198886,0.47987506,0.51195925,0.49753276,0.44206858,0.37099516,0.30991194,0.27160773,0.25437483,0.2514061,0.25587216,0.2634448,0.27095035,0.27659002,0.27948794,0.2803084,0.28312838,0.2970501,0.3327395,0.39076555,0.45279822,0.48782244,0.47537008,0.42322347,0.36099842,0.31643274,0.2970513,0.2943134,0.29595414,0.29570362,0.2922744,0.28661326,0.28078115,0.27651253,0.27555406,0.27727163,0.2800416,0.28153813,0.28054297,0.27756152,0.27338699,0.26910377,0.26458105,0.2596995,0.25442067,0.24881583,0.24359591,0.23849571,0.23410644,0.22989257,0.22608219,0.22183295,0.21715923,0.21204579,0.20683557,0.20119302,0.19451998,0.18623777,0.17631227,0.16477102,0.15229125,0.13974823,0.12859574,0.11965019,0.11382467,0.111661494,0.113577545,0.11828673,0.1233696,0.12612067,0.12544717,0.1215835,0.115371585,0.1072791,0.09782865,0.08833602,0.08143345,0.08010873,0.085937105,0.09779974,0.11523646,0.14305036,0.19336541,0.27217266,0.3666332,0.4410999,0.46469197,0.43302545,0.37560785,0.3258852,0.3016467,0.29687193,0.30003068,0.30262196,0.30401263,0.30547842,0.3079528,0.3109773,0.3124192,0.31099066,0.306041,0.29974547,0.29501665,0.29385245,0.2955055,0.29603252,0.29254732,0.28413007,0.27367637,0.2640516,0.25739956,0.2538315,0.25236985,0.25175366,0.25122848,0.2506775,0.25090197,0.25187492,0.25555825,0.26543126,0.29104075,0.33869562,0.4042064,0.46361813,0.4887372,0.4677049,0.41721964,0.36773852,0.33874246,0.33027637,0.32986927,0.32954252,0.32691833,0.32562104,0.3251783,0.32468244,0.32007512,0.3131578,0.30641225,0.30482253,0.30706477,0.30948433,0.30612263,0.2958773,0.28190184,0.27041698,0.2657853,0.26865938,0.2760239,0.28377903,0.28827205,0.28838933,0.28493366,0.27990314,0.27413425,0.2663711,0.25501147,0.23994702,0.2253819,0.21707936,0.21860223,0.22668417,0.23281465,0.2300775,0.21800174,0.20256364,0.18902361,0.17846672,0.16709138,0.15123816,0.13061437,0.11065018,0.09985661,0.10387862,0.120371066,0.1388204,0.14881392,0.14742737,0.1430489,0.14948243,0.17663245,0.22262257,0.27425042,0.3183755,0.353683,0.39242876,0.44446507,0.500302,0.53164434,0.5146408,0.4527091,0.37500063,0.31304964,0.2793394,0.26738688,0.26451614,0.2633573,0.26165473,0.25967112,0.25724995,0.25566125,0.2561582,0.26184607,0.27727503,0.3116492,0.36961436,0.4420475,0.49951375,0.5109662,0.4656845,0.3840557,0.29981047,0.23682971,0.19863074,0.17649452,0.16219725,0.15366869,0.15243764,0.15897591,0.16980766,0.17949732,0.18486898,0.19083403,0.21138503,0.26156038,0.34262314,0.4330531,0.4990536,0.5176875,0.4926151,0.4471979,0.40450963,0.37463823,0.35662642,0.3473409,0.34486863,0.3469299,0.34937024,0.34766325,0.33973315,0.32591686,0.30899775,0.2924055,0.2802869,0.27552664,0.27873066,0.2872249,0.29572642,0.29959202,0.29657945,0.2881427,0.2767123,0.2650318,0.25507626,0.24877214,0.24712664,0.25013897,0.25583318,0.26074877,0.26049268,0.25319773,0.24091782,0.22925965,0.22297241,0.22287224,0.22541434,0.22513892,0.2186587,0.20672886,0.19473405,0.18857564,0.19076866,0.19787967,0.20394027,0.20534705,0.2040896,0.20539868,0.2125554,0.223485,0.23276366,0.23732053,0.24108167,0.2515639,0.2729632,0.2990831,0.31899214,0.3268095,0.33207154,0.35325965,0.40102196,0.4624021,0.505141,0.50262135,0.45457196,0.3873856,0.32999375,0.29620448,0.28136003,0.27600804,0.27375814,0.27366194,0.27552783,0.27871013,0.28133848,0.28185466,0.2797189,0.27660605,0.2759187,0.28044042,0.28943276,0.29822096,0.30141273,0.2971104,0.28740275,0.275785,0.26352856,0.2503371,0.23592328,0.22239774,0.21315803,0.21170549,0.21883297,0.23170386,0.24429817,0.25300667,0.2620366,0.2856224,0.3360928,0.41069198,0.4841424,0.52617955,0.52121043,0.4796987,0.42488828,0.3772181,0.34570655,0.33086327,0.32931393,0.3353659,0.3427339,0.3458246,0.34243622,0.33347785,0.32150343,0.30871084,0.2959238,0.28433737,0.2747549,0.26818445,0.26336992,0.25889483,0.25377348,0.24920611,0.24761279,0.25061628,0.25820816,0.26734945,0.27460852,0.2772063,0.27586222,0.27256116,0.2691107,0.2649883,0.25941554,0.2529502,0.24843259,0.24864876,0.25411686,0.2613561,0.26500615,0.26078114,0.24929863,0.23505677,0.22355802,0.21689902,0.2131582,0.20866127,0.2013793,0.19324493,0.18911041,0.19390573,0.20877063,0.22990207,0.2512894,0.26915598,0.28404805,0.2981696,0.31116664,0.32031915,0.3259726,0.33786502,0.3707322,0.4301064,0.49964103,0.5481654,0.5531674,0.5184907,0.46904275,0.42846468,0.4051131,0.39380157,0.38796034,0.38460243,0.38375762,0.38435045,0.3847864,0.38320413,0.3795663,0.37674955,0.3833522,0.41053784,0.46144485,0.52160996,0.56185955,0.55949634,0.51372814,0.44674388,0.38354704,0.33872923,0.31228864,0.29855296,0.2916613,0.28847602,0.28796792,0.29001936,0.29422715,0.29910207,0.3050548,0.31716463,0.34453657,0.3905395,0.44471288,0.48454997,0.49264243,0.46987903,0.4337087,0.40126655,0.37853852,0.3621707,0.34940782,0.34053707,0.33680055,0.33555594,0.33321223,0.32704985,0.31819543,0.30918965,0.30244014,0.2993753,0.30015552,0.3045405,0.31021735,0.3146315,0.31544647,0.31251147,0.30624017,0.29639062,0.2828048,0.2667014,0.25214618,0.24257684,0.23923875,0.23935878,0.2395053,0.23717089,0.2325359,0.2273976,0.22439308,0.2259286,0.23282821,0.24352662,0.25370827,0.2587212,0.2556494,0.24584587,0.23357008,0.22431213,0.22096865,0.22331928,0.22825617,0.23282547,0.23540014,0.23630089,0.23618501,0.23538755,0.23364788,0.23144834,0.23062086,0.23365442,0.24138762,0.2514273,0.26139095,0.27448657,0.30376646,0.36139688,0.44460598,0.5250587,0.5682446,0.5565843,0.50598,0.44752324,0.4056759,0.38462746,0.37645864,0.3725883,0.36913446,0.36610523,0.3643404,0.3638667,0.36371234,0.3618444,0.35750148,0.35141516,0.34622666,0.3439509,0.34366778,0.34242418,0.33661366,0.32646883,0.3137965,0.30188072,0.2913357,0.28196403,0.27296427,0.26475856,0.25918543,0.25799644,0.2623322,0.27032825,0.27864787,0.28322804,0.28189838,0.27442315,0.26231617,0.24824208,0.23506205,0.2241102,0.21384694,0.20026863,0.18080975,0.15670012,0.13384922,0.117859274,0.11131815,0.11200902,0.11691511,0.124190755,0.13425016,0.14714794,0.16129094,0.17373443,0.18239366,0.18756682,0.19119568,0.19485366,0.19780232,0.19723105,0.19030158,0.17657112,0.15851383,0.13919996,0.120000966,0.10020712,0.080022424,0.062667206,0.054546714,0.060904298,0.08193186,0.11049372,0.13602102,0.14990677,0.1503614,0.14182997,0.13169195,0.12570123,0.12574346,0.12955046,0.13301438,0.13301414,0.12955584,0.12541726,0.1236347,0.12482128,0.1261095,0.12293173,0.112640135,0.09724906,0.08365133,0.07937735,0.08799327,0.10621246,0.12661003,0.1424985,0.15152158,0.15516566,0.15565188,0.15411639,0.15060638,0.14548062,0.13960832,0.13396774,0.12881511,0.12342239,0.11613258,0.10481612,0.08843177,0.068551846,0.050814882,0.04288812,0.05078264,0.0725844,0.09786213,0.11201147,0.107276835,0.08698344,0.06280382,0.044454236,0.034969214,0.031333324,0.0295128,0.027344571,0.02568836,0.028429084,0.04069758,0.06567321,0.100768685,0.1382826,0.16928916,0.1891942,0.19887467,0.20259915,0.20411623,0.2066197,0.21585734,0.2439806,0.30347416,0.39406285,0.4916265,0.5601404,0.5759029,0.54684675,0.5013839,0.46635067,0.4496541,0.4458842,0.44619796,0.44570816,0.44233283,0.43513525,0.42473793,0.41297913,0.40290096,0.39621124,0.39354575,0.3945937,0.3993357,0.40754685,0.41761902,0.42701015,0.43334255,0.43638948,0.43594626,0.430527,0.4159551,0.38962162,0.35199413,0.3079025,0.26290235,0.22208275,0.18801026,0.16060334,0.13845186,0.122215115,0.118477575,0.13523716,0.17548813,0.22921443,0.28063378,0.31544927,0.33096862,0.33086863,0.32250652,0.31084788,0.30043122,0.29384962,0.2921863,0.29430258,0.2979075,0.30116042,0.30271658,0.30286703,0.30311373,0.30804467,0.3235459,0.3538866,0.39582857,0.43894544,0.4720743,0.49472103,0.5185907,0.5566268,0.6048804,0.6392552,0.63374406,0.58432937,0.51514226,0.4577522,0.42939594,0.42485973,0.4298775,0.4331957,0.43308547,0.43203172,0.43177545,0.42989734,0.42261556,0.40912357,0.39403865,0.38564387,0.39031383,0.40809023,0.43181574,0.4518222,0.46175352,0.46153653,0.45565423,0.44897488,0.44376782,0.43922627,0.433652,0.42639315,0.4184359,0.4109678,0.40456083,0.39910913,0.39543152,0.39755455,0.4137673,0.45145187,0.5062144,0.55662817,0.5753176,0.5512083,0.4997256,0.450345,0.4229006,0.41726056,0.42116702,0.4240264,0.42254087,0.41808736,0.4125894,0.40692922,0.40066743,0.39296818,0.38379696,0.3756175,0.3723042,0.3761849,0.38549766,0.3952293,0.40138605,0.40328768,0.40292397,0.39940646,0.38814843,0.36339656,0.32641664,0.28565353,0.25238046,0.23178439,0.22213982,0.2179542,0.21541269,0.21414562,0.21720316,0.22968002,0.25450376,0.2888446,0.32271615,0.34577549,0.3531245,0.348246,0.3374307,0.3254812,0.31347406,0.30086938,0.2869276,0.2718189,0.25646564,0.24227796,0.22991572,0.21937208,0.21094722,0.20777927,0.21652879,0.24492009,0.29558823,0.35948238,0.41668597,0.44798055,0.45240644,0.45167217,0.47224727,0.5177243,0.56232643,0.5742667,0.54633075,0.49939755,0.4609834,0.44200763,0.43643442,0.43410006,0.4318837,0.4329406,0.43963504,0.44939962,0.45550966,0.45365748,0.44718894,0.44836178,0.4720815,0.5223827,0.5836385,0.62430745,0.61983085,0.5711676,0.50427383,0.44821477,0.41590968,0.40314564,0.39951384,0.39830837,0.39694118,0.3948532,0.39198694,0.38912597,0.38708207,0.38794234,0.39663887,0.42317653,0.47383365,0.5416654,0.60216546,0.62900215,0.61348313,0.5696142,0.5223815,0.48710084,0.46699962,0.45466843,0.4444544,0.43151268,0.41510698,0.39492187,0.37299705,0.35209027,0.33507836,0.32458994,0.32231688,0.3298984,0.3452909,0.363255,0.3756969,0.37958863,0.3776927,0.37666857,0.37758592,0.3753164,0.36234006,0.33723864,0.30460024,0.2712,0.24051748,0.21303056,0.18747757,0.16263868,0.1392155,0.12253839,0.12300525,0.14828628,0.19515955,0.24721675,0.28652927,0.30488828,0.30721346,0.30322018,0.2993513,0.29715613,0.29603258,0.29637408,0.29892027,0.3041148,0.31017983,0.31371278,0.3108498,0.30043662,0.28498316,0.26880208,0.25445816,0.24037634,0.22359674,0.20497687,0.19560099,0.2149861,0.2795018,0.3842865,0.49780095,0.5783487,0.60336775,0.5828907,0.54654765,0.5179829,0.5029643,0.4948518,0.48768553,0.48017597,0.47548926,0.47396138,0.4736252,0.46833453,0.45532036,0.435608,0.41560504,0.40103856,0.39322183,0.38827693,0.37948385,0.36309445,0.33916163,0.31265676,0.2888395,0.27247837,0.2639393,0.26072165,0.25730392,0.25022545,0.2389369,0.22665136,0.21579443,0.20608611,0.19751574,0.19755495,0.22451527,0.29210117,0.39289367,0.49192557,0.55405545,0.56746334,0.5510338,0.5298303,0.51655746,0.5080771,0.49759755,0.4828448,0.46632943,0.45097908,0.43857214,0.42857048,0.42057577,0.41321388,0.40691605,0.40203813,0.3997865,0.39860022,0.39506733,0.38529256,0.3699702,0.35469398,0.3459307,0.34393203,0.3420998,0.3330122,0.31618762,0.2977269,0.28436705,0.27765647,0.27495655,0.2726564,0.2689676,0.26433554,0.26189196,0.26613453,0.278986,0.29562044,0.3049755,0.29658547,0.26828545,0.22885865,0.1932147,0.17387195,0.17434935,0.18809964,0.20421375,0.2149825,0.22080351,0.22734942,0.23942454,0.2555245,0.26860777,0.2697055,0.2534319,0.22176051,0.18542784,0.15899889,0.1516744,0.16063839,0.17405458,0.18177824,0.18316174,0.1854031,0.19426264,0.20781882,0.21846183,0.22097546,0.21798551,0.21696424,0.22335768,0.23535068,0.24636781,0.2490911,0.23954459,0.21833427,0.19108164,0.16644911,0.15050097,0.1433549,0.14002945,0.13712819,0.13550231,0.13836281,0.1458617,0.15378676,0.15677983,0.15312596,0.14676511,0.14425324,0.14979087,0.16179867,0.17453927,0.18276294,0.18513215,0.18414444,0.1837448,0.19008805,0.21339472,0.26680943,0.35411632,0.45913348,0.5474897,0.5901254,0.58258367,0.5457575,0.5052238,0.47489476,0.45591688,0.44462994,0.43845546,0.43524924,0.43280932,0.42935327,0.42412397,0.4177277,0.4110144,0.40589026,0.4043459,0.4078138,0.4148384,0.42144024,0.42371917,0.42123365,0.4159235,0.40733993,0.38892916,0.35191473,0.29379475,0.22371794,0.15838851,0.11276666,0.09310036,0.09675324,0.11550375,0.14026181,0.1644652,0.18675941,0.2086872,0.23122692,0.25123873,0.26473653,0.26968193,0.26832008,0.26349875,0.2573538,0.2503486,0.24332868,0.23725988,0.23327605,0.23218487,0.23453186,0.24035728,0.24821699,0.2557409,0.2610084,0.26590046,0.2775254,0.3041298,0.34795105,0.39882755,0.4423292,0.471723,0.49830282,0.53757375,0.59131867,0.6366187,0.6461282,0.61072916,0.5500718,0.49267614,0.4566969,0.4412911,0.43736473,0.4369389,0.4378231,0.44118795,0.4481009,0.4572636,0.4645964,0.46652874,0.46288273,0.45817974,0.4584869,0.46688876,0.4810176,0.49439564,0.50138,0.50015086,0.4927436,0.48195562,0.46952072,0.45627353,0.44298372,0.43089342,0.42106798,0.41426098,0.4101603,0.4078188,0.40675512,0.41009378,0.4260925,0.46375015,0.52270067,0.58495146,0.62364596,0.6213639,0.58625627,0.5420043,0.5099083,0.4935113,0.4856473,0.47775188,0.46733406,0.4553301,0.44374368,0.43368185,0.4248583,0.41628203,0.40732145,0.39984393,0.39729702,0.40220475,0.41270337,0.4227216,0.42691016,0.4244922,0.41937813,0.41187847,0.3962995,0.36337522,0.3126935,0.25459805,0.2059188,0.17733145,0.16974564,0.17580713,0.18624371,0.19463128,0.20027469,0.20911998,0.22844012,0.26010254,0.29536355,0.32067326,0.32740942,0.3181319,0.3023254,0.28749955,0.27552843,0.2643455,0.25319588,0.2431907,0.23716496,0.23687415,0.24277024,0.25283274,0.2642226,0.27535078,0.2891829,0.31291342,0.35232225,0.40352476,0.44986483,0.472569,0.4683405,0.45890078,0.47398487,0.52308816,0.579861,0.6053819,0.58080155,0.52426463,0.4686155,0.4359988,0.42537022,0.42529917,0.42661074,0.42874888,0.43445185,0.44449225,0.45436013,0.45864514,0.456785,0.45734146,0.47450456,0.51618725,0.5741088,0.62208486,0.63479763,0.6047322,0.549727,0.49508718,0.45732126,0.43610278,0.42389166,0.41405776,0.4050192,0.39758524,0.3931562,0.39208162,0.39339754,0.3961844,0.40321735,0.4234797,0.46572915,0.5272872,0.58743453,0.62042433,0.6147244,0.5828591,0.5477689,0.5244946,0.5126028,0.5037784,0.49201003,0.47548902,0.45532182,0.4315897,0.40540275,0.37792134,0.352167,0.33110353,0.3188125,0.31941268,0.33453596,0.35993886,0.38521323,0.4008654,0.40447518,0.40167794,0.3978822,0.39206934,0.37752295,0.34944072,0.31007603,0.26692483,0.22866194,0.20189847,0.19145294,0.1979465,0.21742284,0.24272233,0.26909062,0.2949078,0.31887695,0.33617374,0.34175718,0.33451092,0.31803676,0.29542646,0.26662982,0.23162265,0.19527745,0.1676014,0.15726632,0.16575141,0.18619712,0.20863669,0.22586614,0.23624052,0.24232589,0.24736452,0.25309864,0.25910753,0.26376033,0.2659602,0.26874486,0.2830515,0.32470724,0.3997334,0.4905239,0.558867,0.5743647,0.5369764,0.47697237,0.42679676,0.4013988,0.39548588,0.39786148,0.40100154,0.40390506,0.4079313,0.41311502,0.4162804,0.41401124,0.4058247,0.3957866,0.38915277,0.387717,0.3875467,0.38062188,0.36138108,0.33029315,0.2948681,0.26395592,0.24404044,0.23624773,0.23812236,0.24490993,0.25234166,0.25752443,0.26015183,0.26115695,0.2614303,0.26262224,0.27128652,0.30156803,0.36511353,0.4559048,0.54395,0.5958857,0.5999114,0.57415146,0.5449572,0.5268428,0.51577353,0.5037185,0.48515096,0.4619811,0.435794,0.4091684,0.3818865,0.3551573,0.33048463,0.31222355,0.304669,0.3100123,0.32378146,0.33720362,0.341332,0.33609328,0.3286387,0.32865748,0.3369653,0.34602377,0.3451432,0.3310354,0.30849072,0.28582197,0.26793036,0.25540993,0.24632615,0.23848319,0.23048927,0.22386189,0.22362946,0.23532076,0.25840628,0.28467485,0.30281642,0.30748928,0.30090228,0.28985283,0.27900696,0.2699616,0.26124492,0.25072205,0.2375089,0.22415602,0.21629296,0.2181114,0.22859614,0.24176283,0.25181386,0.25681195,0.25794503,0.25639755,0.25176898,0.24361135,0.23248832,0.21973477,0.20546384,0.18876016,0.16850324,0.14633404,0.12701389,0.11912391,0.13016593,0.16259189,0.20821573,0.25252262,0.2812921,0.29004797,0.28356764,0.27128443,0.259918,0.25162438,0.24518959,0.23880096,0.23133166,0.22291243,0.2145313,0.20766515,0.20275475,0.1989644,0.19436733,0.18823647,0.18210472,0.17955601,0.1826844,0.18935804,0.19287384,0.18749058,0.17318594,0.15699935,0.14667778,0.14547026,0.15360107,0.1757759,0.22574584,0.31340566,0.4302241,0.5410548,0.60809654,0.61365587,0.5749962,0.52394295,0.4866573,0.4685516,0.46244147,0.45794463,0.4503775,0.43973064,0.42947125,0.42254063,0.42020023,0.42049706,0.4201825,0.4172734,0.4122338,0.40748373,0.40412775,0.40198663,0.39895764,0.39406756,0.3859878,0.37334454,0.35304153,0.3237698,0.28798294,0.25183338,0.22118169,0.19800304,0.18129669,0.16891433,0.16044967,0.15667136,0.16012466,0.17316677,0.19605686,0.22366977,0.24654937,0.2559243,0.2501863,0.235793,0.22253521,0.21614732,0.21566947,0.2151218,0.20955811,0.19847296,0.1864475,0.17890157,0.17931913,0.18765394,0.20170026,0.217044,0.22867006,0.23250423,0.22840069,0.21947521,0.21220928,0.21643187,0.24724078,0.31657362,0.41981605,0.5267565,0.59810644,0.6128043,0.583739,0.5419151,0.51113504,0.49491715,0.48531184,0.47519508,0.46441913,0.45690036,0.45534578,0.4579034,0.458488,0.45242584,0.44009122,0.4275147,0.42134988,0.42484942,0.43616673,0.44998154,0.46090314,0.4660082,0.46574202,0.46240258,0.4580768,0.45352015,0.4479766,0.44026923,0.42977807,0.41756463,0.40570506,0.39612782,0.3896347,0.38906202,0.40142456,0.43675902,0.49624142,0.56521696,0.61476797,0.6228255,0.5876066,0.53044033,0.47654602,0.44166008,0.42567864,0.42072418,0.41808233,0.41364086,0.40824345,0.4057494,0.40844783,0.4145294,0.41893935,0.41869462,0.41519022,0.41270104,0.41349337,0.4158533,0.41679457,0.41539344,0.4138138,0.41267124,0.407993,0.39225638,0.36132038,0.31893644,0.27492967,0.2384881,0.21373893,0.19962518,0.1932288,0.19179495,0.19579224,0.20834988,0.2326712,0.26535586,0.2953678,0.30994964,0.30379042,0.282379,0.25702208,0.23840284,0.23186354,0.23716094,0.24931832,0.26182362,0.27003923,0.27243546,0.27030322,0.26500657,0.25855026,0.25354916,0.25542688,0.27121064,0.30515024,0.352888,0.39862943,0.42505935,0.42752755,0.4237341,0.4393225,0.48314777,0.5328972,0.5542383,0.5315877,0.48173055,0.43444845,0.40767333,0.3990374,0.39825514,0.399004,0.40236297,0.41110814,0.42500567,0.43899694,0.44633988,0.44450673,0.4391496,0.44388387,0.47083673,0.5201399,0.5738373,0.60576296,0.59900284,0.55796826,0.503349,0.4559715,0.4253051,0.40899137,0.40039477,0.39443842,0.3892759,0.38498202,0.38169238,0.37919512,0.37799218,0.38217887,0.4001938,0.4402283,0.4998413,0.56050193,0.5958958,0.59115714,0.5549856,0.51082367,0.47887623,0.46307334,0.4573364,0.45335495,0.44789302,0.43999183,0.4302236,0.4189769,0.4066734,0.39408603,0.38243493,0.3743751,0.372727,0.37873623,0.3896916,0.39947653,0.40277994,0.39944816,0.3947859,0.39320147,0.39277947,0.38570952,0.3667554,0.33836302,0.30883172,0.28337812,0.2603194,0.23340207,0.19920671,0.16091761,0.1288194,0.11595321,0.13208976,0.17607903,0.23393567,0.2848114,0.3133489,0.316962,0.30380526,0.28406134,0.26425186,0.24704592,0.23411055,0.22715636,0.22714894,0.23280115,0.24129708,0.24933827,0.2554318,0.25924456,0.261812,0.26336432,0.2636663,0.26004577,0.24928664,0.23206215,0.22050084,0.23718257,0.29693964,0.38769618,0.46891272,0.5036455,0.48583212,0.4434313,0.40807426,0.393296,0.3929626,0.3969424,0.40084088,0.4058604,0.41403246,0.4242363,0.4315959,0.43064365,0.42001298,0.4053111,0.39528203,0.3961712,0.40632042,0.41862142,0.42489573,0.42268512,0.41421556,0.40504456,0.3982056,0.39501485,0.39342234,0.39140394,0.38683018,0.3797677,0.37159112,0.36379352,0.35693157,0.3512844,0.35077587,0.365146,0.40430418,0.4668468,0.53122896,0.56877184,0.5635993,0.5283423,0.48890114,0.46525142,0.45702723,0.4544517,0.44895634,0.43984294,0.4293321,0.4183298,0.40606415,0.39105093,0.37391317,0.3566649,0.34359524,0.33853492,0.34268594,0.35244954,0.36108866,0.36391917,0.36163536,0.35935655,0.35940754,0.35739908,0.34438404,0.3167508,0.28031436,0.24717583,0.22523342,0.21501945,0.21163951,0.21099441,0.2109646,0.21203876,0.21675305,0.22940008,0.25165355,0.27930677,0.30256814,0.31361267,0.31118044,0.30111167,0.28970382,0.28050253,0.27320305,0.26694572,0.26158318,0.25808594,0.256907,0.25703752,0.25627172,0.25275904,0.24651034,0.23938806,0.23390229,0.23107927,0.22905523,0.22441314,0.21856542,0.22470061,0.2641227,0.3459644,0.44688252,0.5157667,0.50981265,0.42767045,0.30989635,0.20526324,0.14143854,0.1182546,0.1229994,0.14294152,0.17203303,0.20596029,0.23895858,0.26024938,0.261991,0.24457544,0.21882029,0.19630264,0.18270242,0.17652722,0.17439276,0.1743552,0.17572582,0.17800641,0.18053108,0.18325709,0.18644212,0.1902134,0.19406569,0.19713344,0.19858597,0.19786878,0.19499868,0.1906429,0.18684573,0.18682176,0.19448036,0.21096833,0.23336439,0.25433603,0.26791525,0.27185866,0.26921034,0.26322034,0.25618514,0.24780355,0.23850918,0.22867297,0.22012483,0.2134372,0.20959087,0.20785005,0.2075515,0.20679851,0.20481248,0.20220302,0.20117979,0.20392539,0.21029066,0.21806262,0.22332533,0.2235201,0.21791995,0.20859708,0.19852777,0.19051214,0.1858877,0.18470429,0.1864783,0.19048451,0.19570087,0.20070215,0.20394035,0.20479055,0.20311017,0.19958287,0.19454564,0.18894182,0.18381248,0.1811682,0.18261288,0.18880506,0.19775854,0.20604874,0.21035583,0.2098523,0.20586282,0.20002812,0.19312613,0.1849591,0.17651784,0.16975932,0.16732101,0.16995697,0.17634122,0.183502,0.18869215,0.19061078,0.18921866,0.18539412,0.17977823,0.17327781,0.16696441,0.16279833,0.16260351,0.16716255,0.1751024,0.18352361,0.18961442,0.19218005,0.1917954,0.18967754,0.18661308,0.18277566,0.17813711,0.17320538,0.16920942,0.16797173,0.17065682,0.17665213,0.1833769,0.18782413,0.1883245,0.18509503,0.17926449,0.17190647,0.1638168,0.15611063,0.15037073,0.14820124,0.15028198,0.15569006,0.16225761,0.1676444,0.17068791,0.17147963,0.17069107,0.168863,0.16730762,0.16938655,0.17987967,0.2009189,0.22802643,0.25112045,0.26139954,0.25743118,0.24482425,0.23019366,0.21651213,0.20313692,0.18893902,0.17443788,0.16190507,0.15355444,0.14975184,0.14846341,0.14725415,0.14544782,0.14427103,0.14477362,0.14612466,0.1465435,0.14487612,0.1417826,0.13822678,0.13480149,0.13091321,0.12678875,0.123559356,0.12346432,0.12715505,0.13331147,0.13887464,0.14165956,0.14124928,0.13875222,0.1353847,0.13183846,0.12877078,0.12699617,0.12747203,0.13023017,0.13437095,0.13818157,0.1403051,0.14026482,0.13852876,0.13567577,0.13166714,0.12620406,0.11960918,0.11338041,0.109173514,0.10754333,0.107175775,0.105552025,0.10032323,0.09085656,0.07886503,0.067403056,0.058982555,0.05417865,0.051955458,0.050838307,0.049922302,0.048985526,0.048163664,0.047561314,0.047134686,0.046729628,0.046255637,0.045718413,0.04518467,0.04466465,0.0440601,0.04337166,0.043089304,0.044738565,0.050577547,0.061959837,0.07713625,0.09060826,0.09609851,0.09074235,0.07825099,0.06718502,0.06730679,0.08372792,0.11452905,0.14994274,0.1775174,0.18659051,0.17373937,0.1428019,0.103729926,0.06786526,0.044679698,0.03986776,0.055339396,0.08875971,0.13257663,0.17600489,0.21011819,0.23235498,0.24598694,0.2553208,0.2622644,0.26634863,0.26735786,0.2665409,0.26562807,0.26505336,0.2634065,0.25921836,0.2525071,0.24506915,0.23863773,0.23391527,0.2305909,0.22832419,0.22696996,0.22668706,0.22825111,0.23298764,0.24166155,0.2528045,0.26266837,0.26699352,0.2634556,0.25258213,0.2372223,0.2207998,0.20586158,0.19304353,0.18156822,0.17007805,0.15750605,0.14290474,0.12552276,0.10527376,0.083558165,0.06311803,0.046761587,0.03591236,0.030033208,0.02737835,0.026099177,0.02505626,0.023873374,0.022619227,0.021477044,0.020589866,0.020025441,0.01974903,0.019576168,0.01928892,0.018729495,0.017927311,0.016975665,0.015988272,0.015015817,0.014111838,0.013319247,0.012677196,0.012187742,0.011817598,0.0115042105,0.011178655,0.010781541,0.010300968,0.009763603,0.0092323,0.00875966,0.008390681,0.008156448,0.008057392,0.008046396,0.008018442,0.007879672,0.0075943233,0.0072190785,0.006843561,0.0065295673,0.006275494,0.006048052,0.0058321827,0.005646992,0.00552516,0.005467409,0.0054316297,0.005352318,0.005187963,0.004952239,0.0046942737,0.004459905,0.00424294,0.0040028277,0.0037004205,0.0033505484,0.0030173324,0.0027739909,0.0026486565,0.0027187262,0.003603598,0.006978959,0.015554887,0.031226875,0.05320858,0.0770582,0.09735492,0.11029509,0.11570155,0.11537499,0.11175871,0.10648606,0.10068637,0.09480962,0.08889848,0.08264699,0.07585782,0.06855419,0.061064858,0.0544757,0.050961267,0.05363108,0.06348295,0.07765261,0.088980295,0.091762155,0.0848546,0.07290319,0.060989235,0.052047495,0.04582191,0.041445,0.03834659,0.036453485,0.035487298,0.034871846,0.033960875,0.032390397,0.030857705,0.031355962,0.03709051,0.049763795,0.067948535,0.08604923,0.09821711,0.10074041,0.09408382,0.08080018,0.064634405,0.049223144,0.037373215,0.030401794,0.028450755,0.03229409,0.043202784,0.06137422,0.08340285,0.10337251,0.11606591,0.12026716,0.11844065,0.114285685,0.11019542,0.10683611,0.103830256,0.100883484,0.097999536,0.09546902,0.09335482,0.09147984,0.08969324,0.08834242,0.08841038,0.09051419,0.09417636,0.09742537,0.098528095,0.09699679,0.09413885,0.09134114,0.089285314,0.08759209,0.08601767,0.084697045,0.08417183,0.084528334,0.08547533,0.086428024,0.08714047,0.08773676,0.08888043,0.09150977,0.09616849,0.10215571,0.10739104,0.10982064,0.108959466,0.10650224,0.105013855,0.106547534,0.11134261,0.118478455,0.12579097,0.13097231,0.13021186,0.12018988,0.09921855,0.071074314,0.042706743,0.021161966,0.008662877,0.003403189,0.001797086,0.0014116802,0.0012061339,0.0009837464,0.000748313,0.0005490424,0.0004543324]