[0.17369413,0.16805607,0.1572417,0.1468517,0.14154297,0.14177048,0.14403915,0.14435934,0.1404251,0.13388841,0.1273906,0.12357164,0.12276255,0.12356883,0.12429947,0.123181276,0.120323986,0.11595895,0.11185757,0.10883951,0.10762722,0.10756851,0.107661225,0.10713581,0.10561472,0.10390993,0.10244915,0.10197657,0.101983994,0.10233959,0.10245711,0.10233932,0.10176784,0.100643784,0.09927363,0.09792239,0.09737113,0.09726775,0.09751641,0.09706262,0.09594605,0.094216265,0.09262353,0.09168718,0.09126141,0.09126156,0.09088585,0.090200774,0.08890707,0.08757315,0.08670346,0.08663391,0.08752149,0.0884197,0.08898308,0.08833746,0.08696089,0.08520987,0.08403037,0.08429864,0.08656845,0.0915071,0.09834924,0.10613662,0.112828426,0.11740551,0.11929396,0.11881244,0.11674821,0.11388429,0.111322455,0.10932977,0.10802304,0.106818415,0.1055128,0.10431559,0.10371888,0.10412561,0.10483176,0.104814015,0.10278035,0.09855783,0.09270727,0.08664504,0.08176901,0.078994356,0.07849332,0.07987023,0.08263725,0.08636279,0.09059122,0.09487156,0.09856823,0.1011022,0.101789005,0.10047919,0.0976639,0.09469289,0.09294588,0.09323735,0.09520748,0.09743914,0.09779605,0.09444066,0.086997636,0.07722878,0.0680547,0.061828613,0.05893751,0.058396872,0.058729455,0.059159443,0.059231803,0.059119433,0.05894133,0.0591028,0.05958916,0.060269326,0.060778543,0.061327744,0.064033695,0.07437302,0.101103604,0.15156625,0.22443919,0.3049107,0.36932647,0.3986555,0.39062023,0.3614109,0.33329725,0.32072732,0.32265034,0.32831052,0.326584,0.3144059,0.2962359,0.27959666,0.26881483,0.26311,0.25838283,0.2509316,0.24029104,0.22857483,0.21860807,0.21126132,0.20558043,0.19961207,0.19229102,0.18392938,0.17586024,0.1692012,0.1639611,0.15923686,0.15400688,0.14786258,0.14112605,0.13440771,0.12819393,0.12245557,0.11689418,0.11115256,0.10519748,0.099292226,0.09388717,0.08918985,0.08495903,0.080710806,0.076143086,0.071430385,0.06689942,0.06292979,0.05953723,0.056643326,0.05393101,0.051370904,0.04905589,0.047215044,0.04583573,0.044691164,0.043590993,0.0424898,0.041581273,0.04097123,0.040762722,0.04096796,0.04165872,0.04284158,0.044520568,0.046687692,0.04922526,0.051772434,0.053743497,0.05485932,0.055420343,0.056333642,0.058292016,0.061487902,0.06542816,0.06949466,0.072975345,0.07541498,0.076683074,0.077192925,0.07750911,0.07793057,0.07832234,0.078421034,0.07822189,0.07801577,0.07819346,0.07892314,0.079983525,0.08079466,0.08073031,0.07960963,0.07791108,0.07643553,0.075665206,0.07545406,0.07537362,0.07516085,0.07488194,0.07468852,0.07460568,0.07450173,0.07415757,0.07338486,0.072046,0.07025067,0.068386555,0.06706097,0.06653307,0.06654287,0.06644148,0.06592942,0.0651341,0.06446608,0.06412078,0.06408879,0.06411322,0.06365147,0.0619202,0.05826981,0.05362594,0.051901955,0.060703844,0.08840761,0.13878952,0.20705904,0.2800971,0.3437285,0.38643548,0.4048883,0.3988239,0.37369823,0.3335426,0.28595826,0.23634881,0.19332577,0.16200669,0.14605647,0.14280075,0.14749736,0.15404733,0.15852058,0.158853,0.15455861,0.14612617,0.1346282,0.121929586,0.109890975,0.09994946,0.092432536,0.087095834,0.083406925,0.081090845,0.0797047,0.07884734,0.07798057,0.07697079,0.075841926,0.074731626,0.073672205,0.0725571,0.071570195,0.07078857,0.07055814,0.070612736,0.07088808,0.07089042,0.070690155,0.070110984,0.0695089,0.069043584,0.06918157,0.069845445,0.070813924,0.07154984,0.07194009,0.072006255,0.071945645,0.07168999,0.071240254,0.07054192,0.069685005,0.06860506,0.0673477,0.06594659,0.06460023,0.06340313,0.062432528,0.06162779,0.060879845,0.06000388,0.05892006,0.05777142,0.056913335,0.05662788,0.05694018,0.057593986,0.05832919,0.05897369,0.0595312,0.06005074,0.060655247,0.061403304,0.062310774,0.06329671,0.06435898,0.0655114,0.06675435,0.06791384,0.068794616,0.06926826,0.06934387,0.0690273,0.06831369,0.06725433,0.06600379,0.06478408,0.06372851,0.062938824,0.062395915,0.062158342,0.062195744,0.06258837,0.06316564,0.06380509,0.0642282,0.064601116,0.06500598,0.06563034,0.0660249,0.06582176,0.06444268,0.06195682,0.05845812,0.05474378,0.05137539,0.04921693,0.048316598,0.048790038,0.05000664,0.0517486,0.053348184,0.054756578,0.055580776,0.056037694,0.056353748,0.058179963,0.06478857,0.08144295,0.11419467,0.16630985,0.23630041,0.31446245,0.38903236,0.4481393,0.48954257,0.51397353,0.5279424,0.53287745,0.53288174,0.52701664,0.5181358,0.50418776,0.4872234,0.46539274,0.44115353,0.4133353,0.38465557,0.35437143,0.3247832,0.29504427,0.26723456,0.24078281,0.21708202,0.19526088,0.17651092,0.16050334,0.14769848,0.13712163,0.12885357,0.123015605,0.119698435,0.11828104,0.11769113,0.11782262,0.11832438,0.11932097,0.11990419,0.12032032,0.12016294,0.11985025,0.1187118,0.11725831,0.115387,0.11372706,0.11194053,0.1105401,0.10963639,0.109638,0.11004469,0.11051005,0.11060295,0.11017939,0.10913575,0.107543446,0.1058028,0.10401248,0.1023375,0.10050527,0.098737635,0.0967454,0.09493506,0.09357979,0.09397316,0.09634512,0.100494705,0.10459626,0.107484244,0.10821793,0.1075576,0.106182516,0.104973644,0.10357816,0.10180619,0.099481136,0.09728391,0.09559854,0.09465917,0.094218075,0.09401361,0.09348675,0.09207552,0.089612626,0.08654764,0.08378926,0.082089566,0.08214202,0.08388033,0.08666384,0.088947676,0.089898914,0.08939574,0.088386394,0.087348126,0.08668154,0.08625412,0.08615752,0.086022496,0.08571253,0.085044004,0.08432907,0.08366989,0.08333877,0.08333707,0.08371061,0.08391466,0.08332496,0.08133631,0.078135245,0.07447924,0.07163584,0.07067433,0.07196199,0.074906714,0.0782741,0.08109972,0.082873106,0.08378298,0.08406045,0.084237255,0.08493984,0.088356346,0.09971691,0.12768708,0.17985733,0.25521263,0.3406205,0.416682,0.46934986,0.49589157,0.50054085,0.4868747,0.45577732,0.41078392,0.36090156,0.31853044,0.29203558,0.28255713,0.28397664,0.28876415,0.29115105,0.28977072,0.28371608,0.27238235,0.254145,0.23058182,0.20482837,0.18090297,0.16071564,0.1448677,0.13388117,0.12755227,0.12512802,0.12382408,0.12154273,0.116870455,0.11079392,0.10498636,0.1013416,0.100379445,0.101551145,0.10341478,0.10501451,0.10558733,0.105261534,0.10409847,0.102791734,0.10179391,0.10154399,0.102117695,0.10313637,0.10417842,0.10435567,0.1035071,0.10158355,0.09933404,0.09700652,0.09474068,0.092442326,0.0901899,0.08818825,0.086273886,0.08439226,0.08250811,0.08092508,0.0796445,0.07838794,0.076867945,0.075009525,0.072801,0.069815926,0.06534223,0.059020173,0.051168412,0.042934854,0.035422366,0.02960371,0.025675893,0.02350104,0.02248812,0.022136716,0.022117576,0.02230482,0.02264618,0.022933936,0.023046413,0.022986716,0.02306804,0.023529911,0.024492348,0.0257133,0.027002374,0.027977638,0.028567508,0.02863714,0.028604561,0.028779613,0.029526412,0.030684978,0.032014206,0.03348424,0.035444338,0.038587734,0.043126047,0.048816413,0.054612547,0.059559662,0.06291293,0.06475049,0.06565231,0.06650695,0.06793269,0.06997225,0.07211106,0.073359944,0.0727255,0.06955556,0.064376615,0.058778312,0.054771636,0.053303003,0.05384702,0.055011798,0.05568537,0.05567624,0.055596545,0.057217915,0.06380406,0.08039201,0.11197748,0.16075908,0.22339304,0.29093245,0.3521049,0.3979236,0.4256144,0.43785486,0.43994784,0.43580422,0.42736676,0.41533342,0.40048036,0.38373986,0.36589226,0.34769428,0.32987657,0.31319335,0.29789004,0.28385675,0.27084374,0.25892678,0.24839227,0.23932086,0.23145907,0.22421372,0.21719779,0.21020226,0.20323598,0.19621162,0.18899949,0.18149887,0.17361115,0.1653321,0.15671377,0.14802842,0.1395911,0.13175093,0.12478212,0.11873632,0.113316275,0.10792046,0.1021839,0.096152164,0.09021912,0.084695674,0.079795115,0.07568681,0.072444804,0.069932215,0.06784931,0.06602681,0.06455598,0.06358565,0.06317211,0.06313423,0.06332431,0.06356924,0.063852094,0.06417125,0.06461626,0.06515833,0.0656662,0.06596476,0.065969855,0.06567099,0.065084524,0.06439701,0.06398691,0.06425329,0.06528926,0.06689476,0.06886668,0.071130075,0.07360511,0.0760011,0.07794434,0.07925582,0.08008641,0.080725886,0.081400275,0.08218014,0.08317167,0.084448814,0.08596051,0.087369256,0.088234365,0.08823704,0.087194175,0.08502176,0.08177749,0.07786422,0.073995344,0.07074526,0.068320185,0.06648367,0.06496637,0.06344272,0.061607704,0.059260335,0.05658036,0.054198895,0.052719194,0.052391823,0.052954167,0.054016758,0.055240735,0.05647609,0.057706635,0.05898179,0.060213845,0.06104308,0.060963016,0.059673276,0.057293158,0.054319326,0.051443454,0.049372274,0.04860093,0.049111485,0.050340086,0.051867124,0.055446904,0.06664419,0.094584234,0.14561306,0.21788065,0.2974941,0.3675795,0.41403678,0.4338697,0.42823932,0.40292367,0.36121985,0.30958745,0.2534175,0.20192064,0.16162495,0.13852544,0.13123985,0.13590574,0.14430214,0.15173906,0.15396214,0.15148062,0.1437607,0.13334017,0.12089088,0.109341584,0.09892347,0.09100368,0.0846575,0.08035561,0.07714635,0.07499111,0.07291606,0.070924,0.0688529,0.06710297,0.06556045,0.064216524,0.062772885,0.061448827,0.060843635,0.06299716,0.07118457,0.089017786,0.11767262,0.15326409,0.1873887,0.21066083,0.21803851,0.21037592,0.19220974,0.16839081,0.1427016,0.119279,0.10198569,0.092897885,0.090211146,0.08963832,0.08747548,0.082723565,0.07708209,0.0727625,0.07132564,0.07315233,0.07796565,0.084642686,0.09097189,0.09416596,0.092452705,0.086604334,0.07964296,0.07476795,0.0731684,0.0736602,0.0742821,0.07404929,0.07329699,0.07257768,0.07180583,0.070461564,0.06849971,0.0666582,0.065983705,0.06700122,0.06936722,0.072086446,0.07416278,0.075101174,0.07504555,0.07442591,0.07361375,0.07275614,0.07193488,0.071181744,0.07044489,0.0695282,0.068295926,0.06685541,0.06551985,0.06459227,0.064157985,0.06412462,0.06432744,0.0646987,0.065322064,0.06635864,0.06784464,0.06952617,0.07095311,0.07172882,0.071694635,0.07091563,0.06955403,0.067845255,0.06603801,0.06436505,0.0628803,0.061506476,0.060110774,0.0588018,0.05790143,0.057772975,0.05830255,0.058883592,0.058718603,0.05755283,0.055832952,0.054482315,0.054170016,0.05491663,0.05604733,0.056697506,0.05634473,0.055058833,0.05338332,0.051997986,0.05145974,0.05189514,0.052903857,0.05368815,0.05353946,0.05221347,0.05000708,0.047538508,0.045527298,0.044570934,0.04489338,0.046155676,0.04762024,0.04860313,0.04888243,0.048724566,0.048615366,0.0489517,0.04985002,0.051108763,0.052576955,0.056182195,0.06709667,0.09272406,0.13363327,0.17890114,0.20730151,0.20511979,0.17431915,0.13270953,0.0963004,0.07274396,0.05991958,0.054488003,0.053263504,0.054233328,0.05524377,0.05533513,0.054538865,0.053472023,0.052443415,0.051426366,0.050292183,0.04893312,0.04734711,0.045545127,0.043678965,0.041912425,0.04051505,0.03963775,0.03937717,0.03962046,0.040437926,0.042192724,0.04575603,0.051788215,0.060171884,0.06937983,0.07717218,0.08143509,0.081357434,0.077352524,0.07083329,0.063248724,0.055880208,0.04936488,0.04398568,0.039545253,0.035748467,0.03224056,0.028932316,0.0259991,0.023732841,0.022255221,0.021321459,0.020539587,0.019579494,0.01843769,0.01726423,0.016262166,0.015452594,0.0147604,0.014049259,0.013236308,0.0122936815,0.01125871,0.010261302,0.009442679,0.008888301,0.008552312,0.008319759,0.008073505,0.007732458,0.007299148,0.006824214,0.0063766222,0.00595786,0.0055402466,0.0051091737,0.00467829,0.004270833,0.0039046549,0.003614081,0.0034098995,0.0032776028,0.0031870129,0.003127168,0.0030747543,0.002979743,0.0027884685,0.0024934597,0.0021327923,0.0021466464,0.004091302,0.011745684,0.031219086,0.07056006,0.1376041,0.23592322,0.3581071,0.4817311,0.57719684,0.6234931,0.6240533,0.59942836,0.57374287,0.5548411,0.5414136,0.52546364,0.50733054,0.48648107,0.46704397,0.44673523,0.42639184,0.402665,0.377334,0.34977707,0.32250828,0.29488662,0.26844522,0.24382192,0.22319631,0.20666015,0.19376433,0.1831925,0.17494178,0.16945295,0.1677084,0.16967075,0.17428483,0.17936254,0.18302427,0.1846291,0.18458666,0.1838805,0.18295848,0.18209352,0.18058343,0.17792507,0.17364116,0.16859512,0.16349201,0.15954301,0.15808046,0.16315688,0.17973475,0.21192841,0.25706682,0.30705965,0.34975553,0.3781048,0.38951764,0.3888967,0.37983775,0.36751178,0.3524591,0.3372788,0.32135698,0.3063453,0.2910703,0.27576482,0.25840035,0.23814182,0.21360306,0.18571092,0.1564885,0.12999031,0.109982766,0.09890168,0.09607891,0.09850817,0.10253,0.105694406,0.1074425,0.10819825,0.10861794,0.10882989,0.10879979,0.10835549,0.1075548,0.106522985,0.10546267,0.104394555,0.10316651,0.10157419,0.09958771,0.09740072,0.09529534,0.093774974,0.093561314,0.09577149,0.10093088,0.10855415,0.116546534,0.12312954,0.12782764,0.13220258,0.137273,0.14228947,0.14480592,0.14373285,0.14057517,0.13844001,0.1386363,0.13958354,0.13816158,0.1332915,0.1268773,0.122475885,0.1216931,0.123060726,0.12318513,0.120204926,0.115344584,0.11196346,0.1124294,0.1160947,0.11998459,0.1214791,0.12063491,0.11975319,0.12095558,0.12387067,0.12603717,0.12528849,0.1218582,0.11786032,0.115128435,0.11346293,0.11125492,0.1071643,0.10151466,0.09580618,0.09166207,0.08967089,0.08944196,0.090000026,0.09070462,0.091495164,0.09280632,0.09487886,0.09749054,0.10007901,0.102246486,0.10395964,0.105406694,0.10666893,0.10762191,0.108103245,0.108292006,0.10977601,0.116393544,0.13517137,0.17269348,0.23203075,0.3066175,0.38525438,0.4536085,0.5054493,0.53748554,0.554627,0.5588363,0.5563081,0.5474119,0.5359261,0.51991546,0.50174415,0.47929573,0.45480633,0.4266148,0.39737412,0.36639428,0.33629683,0.3063295,0.2784935,0.2520872,0.22848748,0.20677215,0.1876996,0.17051412,0.15602632,0.14559282,0.14399713,0.15701886,0.18685518,0.22681202,0.26222622,0.28000474,0.27680445,0.26050246,0.24196553,0.22822851,0.22047772,0.2167872,0.21484238,0.21299143,0.21068619,0.20843111,0.20654194,0.20483392,0.20161039,0.19623147,0.18910964,0.18293996,0.17939766,0.17837094,0.17754664,0.1750362,0.17096472,0.16662864,0.16342878,0.16127734,0.15998274,0.15915862,0.1589963,0.1594129,0.1602224,0.16127174,0.16235448,0.16341238,0.16402543,0.16425206,0.16394491,0.1634224,0.16224748,0.16043901,0.15797214,0.15566202,0.15416276,0.15365195,0.15370297,0.15356648,0.15305793,0.15228963,0.15167354,0.1511897,0.15079476,0.1504851,0.15033162,0.14988808,0.14757432,0.14175773,0.13151829,0.11935728,0.11030787,0.11296175,0.13478144,0.1805798,0.24473001,0.31165162,0.35864642,0.3698292,0.3449047,0.2983134,0.24928616,0.21098565,0.18834054,0.17914255,0.1773175,0.17695819,0.17390782,0.16860312,0.16251956,0.15833901,0.15721853,0.15906806,0.16212623,0.16358767,0.16271062,0.1602133,0.15833712,0.15760995,0.15744346,0.15687567,0.15510166,0.15239184,0.14957567,0.15111794,0.16285722,0.18830772,0.22076686,0.24507082,0.24728338,0.22663064,0.19533145,0.16786098,0.15070792,0.14185165,0.13681029,0.13325043,0.13077338,0.12946832,0.12857437,0.12765597,0.12624653,0.12477366,0.12332577,0.12236186,0.12170682,0.12126496,0.12033606,0.118816376,0.11680338,0.11505538,0.11392694,0.113465436,0.11333802,0.113077156,0.11329707,0.11619479,0.12605686,0.14499448,0.16985576,0.19086723,0.19853245,0.18943276,0.16896214,0.14563693,0.1263216,0.11304503,0.10505202,0.10011833,0.09671146,0.09397157,0.092072874,0.0909253,0.09018556,0.08919293,0.08804079,0.08712804,0.08683577,0.086815715,0.08660825,0.0860864,0.08562022,0.0855644,0.085728645,0.08567182,0.085092716,0.08443868,0.08449131,0.08613066,0.08954512,0.09424013,0.09907681,0.10325456,0.106685735,0.109932125,0.113343336,0.11681608,0.11994296,0.122438304,0.124083094,0.1246692,0.12403495,0.12229857,0.119927615,0.117373794,0.11483926,0.11208716,0.10909789,0.106068544,0.10357043,0.10168135,0.10023474,0.098727494,0.09705376,0.095162876,0.09311997,0.090734534,0.087904245,0.08462739,0.08116824,0.07783756,0.07493451,0.072604574,0.07073938,0.06911305,0.06750054,0.066026114,0.06480982,0.06387851,0.06290717,0.06173968,0.06052421,0.059752036,0.05975562,0.060506675,0.061670307,0.062988915,0.06443104,0.06609413,0.06800076,0.070031434,0.07203451,0.07383459,0.07533143,0.07643966,0.0771674,0.078226596,0.081874005,0.09188279,0.11060965,0.13532938,0.15897818,0.17465444,0.18235074,0.1849742,0.18564864,0.18120192,0.17063034,0.15544914,0.14339297,0.13883646,0.14190137,0.14693318,0.1487068,0.14523114,0.13820404,0.13118964,0.12614043,0.123662174,0.12230881,0.121077776,0.11914873,0.11684298,0.11481967,0.11356929,0.113187194,0.11306134,0.112916745,0.114142574,0.120954104,0.13979614,0.172849,0.21488197,0.25238454,0.27487668,0.2790077,0.27043858,0.2546842,0.23539631,0.21366708,0.19144087,0.17121804,0.15505962,0.1438364,0.13688189,0.13276787,0.13028671,0.1303327,0.13640212,0.15182577,0.174304,0.19427502,0.19999994,0.18767367,0.16374058,0.13993627,0.123248905,0.113940366,0.10788384,0.101883,0.09471711,0.087106526,0.0803993,0.07629398,0.075616665,0.07785345,0.08043253,0.08084216,0.07756195,0.07202739,0.06609914,0.06180644,0.058937103,0.05715281,0.055498723,0.053994086,0.053719368,0.0586112,0.07531374,0.10751859,0.14879787,0.18162268,0.18909717,0.16911793,0.13526879,0.104933836,0.085584335,0.07487843,0.06751411,0.061234888,0.05717035,0.058341175,0.07109309,0.10408306,0.1655386,0.25576618,0.3623478,0.46043515,0.52185327,0.5291105,0.4846599,0.40900508,0.32731235,0.25796273,0.20803517,0.17797156,0.16501932,0.16486134,0.1716854,0.17944133,0.18494792,0.18708712,0.1867848,0.18357277,0.17767715,0.16921186,0.16063535,0.15386237,0.15069152,0.15023841,0.15148212,0.15257712,0.15361267,0.15421772,0.15508072,0.15533741,0.15497881,0.15278728,0.14883731,0.14284097,0.13617855,0.12982042,0.12477463,0.12063833,0.11683804,0.11290897,0.10902852,0.105496876,0.10257026,0.10108155,0.10339168,0.113398634,0.13431172,0.16514818,0.19899394,0.2260729,0.23904985,0.23711048,0.22359394,0.2031727,0.17872117,0.15333326,0.1297947,0.110917926,0.09766192,0.090485364,0.09078779,0.1013408,0.124145694,0.15611088,0.18924598,0.21312074,0.22208358,0.21602131,0.20048182,0.18141975,0.16468887,0.1535179,0.14873207,0.14790623,0.14743368,0.14502992,0.14101517,0.13735609,0.13541768,0.13500416,0.13514262,0.13510156,0.1349798,0.13491549,0.13506941,0.13539907,0.13618691,0.137655,0.13983308,0.14217001,0.14394647,0.1448159,0.14545445,0.14690351,0.1493908,0.15151669,0.15159632,0.14952873,0.14688723,0.14503224,0.14343219,0.1410638,0.13813454,0.13639474,0.1367166,0.13824795,0.13951385,0.14047627,0.14215052,0.14494036,0.14777829,0.14940654,0.14976315,0.14974697,0.14986467,0.14955807,0.14801931,0.14501758,0.14109112,0.13691755,0.13309723,0.12992002,0.127423,0.1253342,0.12360182,0.122476794,0.12240624,0.12327719,0.124556966,0.12567948,0.12669277,0.12796861,0.12955683,0.13068368,0.12977935,0.12508245,0.115292035,0.10034808,0.08174033,0.062222954,0.04483221,0.031690456,0.02337457,0.01901503,0.017157609,0.016511092,0.016345313,0.016330175,0.016373992,0.01653985,0.017877018,0.023806632,0.041506976,0.07963138,0.14252703,0.22444533,0.30959564,0.38048568,0.4246728,0.43968046,0.426899,0.39191425,0.3393199,0.2782311,0.21708052,0.1664963,0.13237949,0.11761358,0.11837975,0.12798682,0.13866575,0.14519672,0.14575149,0.14034033,0.13038291,0.117094666,0.10302933,0.09028459,0.08124741,0.07610697,0.074703135,0.0754259,0.07779799,0.08177373,0.09106082,0.11309501,0.15748717,0.22791398,0.31580627,0.40257323,0.4703002,0.5126242,0.5341596,0.5438029,0.54691774,0.5454224,0.53969514,0.5302963,0.51754373,0.5006973,0.47991362,0.45589837,0.43077505,0.40506348,0.37907758,0.35238317,0.32581946,0.29984578,0.27492362,0.2512921,0.22982089,0.21150891,0.19665031,0.18501075,0.17610264,0.16979176,0.16566561,0.1632448,0.16204746,0.16180368,0.16214858,0.16238655,0.16221887,0.16160516,0.16105916,0.16044001,0.15995646,0.15938269,0.15924704,0.15900771,0.1586837,0.15759557,0.15644167,0.15496981,0.15352763,0.15134956,0.14891182,0.14612082,0.14359376,0.14093018,0.13849904,0.13621062,0.13451196,0.13294597,0.13151968,0.13039456,0.13188109,0.14162244,0.1694374,0.22495401,0.30759642,0.40177992,0.48277965,0.5350619,0.5603308,0.57197076,0.57910997,0.58169746,0.5763206,0.56357646,0.5484968,0.53524804,0.5258181,0.51984143,0.5168448,0.51376176,0.50659525,0.49188992,0.47168568,0.45114347,0.434767,0.4221765,0.41009888,0.39633825,0.38075495,0.36474308,0.3485459,0.3328204,0.31785825,0.30492148,0.29442093,0.28711984,0.28272268,0.28033337,0.2773905,0.2721608,0.26477548,0.2572429,0.25113308,0.24594028,0.24050182,0.23372762,0.22604054,0.2176336,0.20879422,0.19929604,0.18953131,0.18011892,0.1716455,0.16423081,0.15786739,0.15261953,0.14856502,0.14561333,0.14399219,0.14425041,0.14689595,0.15203273,0.16037118,0.17487292,0.20029588,0.2402113,0.292642,0.34952152,0.40034387,0.43825766,0.46201882,0.47424257,0.47707024,0.47199965,0.4597743,0.44244063,0.42158714,0.39929935,0.3769258,0.35601914,0.33724692,0.3207859,0.30644378,0.29391894,0.28342536,0.27536693,0.2702733,0.2674074,0.26502916,0.26114643,0.2549577,0.24689007,0.2379005,0.22887917,0.22044028,0.21321718,0.20776276,0.20425731,0.20196544,0.199383,0.19545579,0.19034286,0.18531871,0.18144359,0.17917408,0.17858912,0.17978998,0.18285881,0.18732797,0.19225013,0.19636679,0.19894467,0.19999017,0.2000661,0.19951396,0.19824469,0.19597794,0.19266818,0.18858534,0.1841159,0.1795321,0.174686,0.16908364,0.1629621,0.15911905,0.16397308,0.18499778,0.22472127,0.2768632,0.32761982,0.36492094,0.3822793,0.38136867,0.36447182,0.33606228,0.29914823,0.26017728,0.22408034,0.19643873,0.17916971,0.17265736,0.17370878,0.17820609,0.18199684,0.18273787,0.17977309,0.17297167,0.16289645,0.150401,0.13790073,0.12779014,0.12211546,0.12087526,0.12309303,0.1271859,0.13226628,0.13780315,0.14366327,0.14948177,0.15481798,0.15908433,0.16187216,0.16303355,0.16251363,0.16030101,0.1563577,0.15100539,0.14478071,0.13832682,0.13192183,0.12590604,0.12053543,0.116466306,0.11389756,0.11299027,0.11345985,0.115328275,0.11842433,0.12246772,0.12663978,0.1302368,0.13263799,0.1335461,0.13209604,0.12729864,0.11833564,0.106185995,0.0946156,0.09095862,0.10475669,0.14307256,0.20530553,0.28012934,0.34985033,0.39887667,0.4221153,0.42627534,0.4227254,0.41940108,0.41705954,0.41314712,0.4055172,0.39398804,0.37971047,0.3642614,0.3496708,0.33752874,0.32978272,0.32644105,0.3246571,0.3179984,0.302623,0.28022924,0.25747278,0.23916323,0.22604287,0.21587114,0.20688261,0.19852929,0.1913405,0.1861238,0.18319638,0.18170907,0.17968975,0.17511213,0.16712154,0.1565951,0.1457048,0.13621335,0.12847917,0.1216178,0.11507731,0.10939097,0.105398774,0.10331184,0.10368476,0.10923106,0.1249368,0.15210226,0.1835071,0.20395607,0.20182323,0.17802733,0.1455218,0.11802369,0.101051636,0.091828816,0.085045725,0.07832209,0.07420751,0.081444465,0.11228266,0.1779836,0.2777388,0.395293,0.49990788,0.5642461,0.5765246,0.5482462,0.50011265,0.4496448,0.4024153,0.35992563,0.3237398,0.2973285,0.28002515,0.26892728,0.260887,0.2557076,0.25311315,0.25045842,0.24390964,0.2306474,0.21203178,0.19129889,0.17256172,0.15773885,0.14700758,0.13949226,0.13424379,0.13135952,0.13041498,0.13101597,0.13128847,0.13000749,0.12657563,0.12270498,0.120551206,0.12157061,0.124349676,0.12632823,0.12499457,0.120622426,0.11473452,0.109980635,0.10754477,0.10770494,0.10914748,0.11019031,0.10953916,0.10670966,0.10263919,0.098514736,0.096060514,0.09587607,0.0976141,0.09939188,0.09930741,0.09667495,0.09234121,0.08797995,0.08432523,0.08109936,0.07754626,0.07457978,0.07602186,0.08691514,0.10927341,0.13754027,0.16075729,0.1690708,0.16136129,0.14488903,0.12979138,0.12169281,0.1202043,0.12128522,0.121733226,0.12061325,0.11882037,0.11733288,0.1165475,0.11624592,0.11596454,0.11534894,0.114293545,0.112928785,0.11150584,0.11026553,0.10958171,0.109626316,0.11045145,0.11154444,0.11248961,0.11291236,0.113364786,0.11464658,0.11807761,0.12364533,0.1304792,0.13595946,0.13872778,0.13846834,0.13712329,0.1359211,0.13535888,0.13452934,0.13278125,0.13020806,0.12762737,0.12604024,0.125681,0.1261546,0.12682873,0.12749554,0.12846209,0.12962407,0.13061547,0.13051802,0.12930891,0.12737256,0.12579061,0.1250806,0.1253616,0.12714857,0.13368475,0.15334351,0.19706053,0.2703474,0.36323747,0.45190576,0.5122365,0.5369079,0.53573245,0.5234368,0.5054801,0.48059162,0.4490064,0.4177723,0.39397025,0.37819454,0.36483017,0.3484734,0.32866892,0.3084139,0.29033133,0.27421442,0.2582256,0.24127883,0.22438502,0.20964594,0.19812779,0.18894374,0.1801581,0.17080921,0.16129993,0.15301935,0.14698082,0.1437509,0.1428114,0.14305846,0.14284699,0.14126968,0.13815232,0.13393551,0.12903948,0.12373429,0.11866889,0.11448864,0.11204231,0.11125211,0.11174732,0.112546176,0.113301575,0.11386474,0.11459442,0.11552406,0.11658082,0.11737778,0.11766639,0.11740803,0.11693441,0.11668935,0.11685645,0.117226146,0.117307186,0.1168467,0.1159271,0.11547039,0.11744422,0.12524289,0.14147322,0.1652032,0.1898747,0.20675755,0.20986605,0.19995262,0.18231834,0.1636476,0.14849533,0.1390401,0.1346906,0.1328455,0.13069516,0.12687473,0.122472666,0.11894414,0.11675406,0.11519861,0.113506734,0.112008475,0.11070764,0.10960185,0.10806576,0.10647318,0.10528427,0.104632385,0.10406049,0.10300362,0.1019809,0.10134101,0.101580776,0.10209262,0.10278329,0.1032702,0.103583165,0.103339195,0.10204989,0.098915525,0.0927057,0.08301202,0.07091326,0.05988608,0.053719696,0.05508694,0.06362921,0.07683656,0.09094817,0.103363015,0.113046646,0.12041942,0.12563162,0.12827449,0.12804395,0.12556726,0.122318305,0.11947146,0.11744737,0.11663353,0.11911573,0.131097,0.1626613,0.22345626,0.31312218,0.41481543,0.50006676,0.54524446,0.54652685,0.5188543,0.48091987,0.44178912,0.40058652,0.35622776,0.31345996,0.28115693,0.2656128,0.2663324,0.27776602,0.2938938,0.3125099,0.3323637,0.34862745,0.35158023,0.33442068,0.29958406,0.25833693,0.22138293,0.19448517,0.17767358,0.1699,0.16833144,0.17077683,0.1766559,0.19026612,0.2152853,0.24818288,0.27470174,0.27955258,0.25857824,0.22236897,0.18696599,0.16211219,0.14893942,0.14321715,0.14027268,0.13557404,0.12699251,0.116011105,0.10690538,0.103140734,0.10425284,0.10740926,0.10975029,0.11049578,0.109837025,0.10803195,0.10514996,0.10163039,0.098418035,0.096159495,0.09457785,0.09268636,0.0898036,0.08669443,0.086052425,0.09206253,0.10847422,0.13540041,0.16705061,0.19276458,0.20263122,0.19324295,0.1699013,0.14233361,0.118903555,0.10269032,0.09254692,0.085797034,0.0806357,0.07662594,0.07411637,0.073477,0.07419312,0.075118445,0.07496398,0.07360514,0.0718335,0.0707406,0.07051664,0.07066456,0.07068019,0.07054612,0.07059177,0.07097276,0.0719508,0.07384501,0.07718339,0.081883945,0.08722586,0.09182652,0.094635606,0.09530727,0.09455099,0.09335039,0.09271643,0.09278908,0.093496375,0.094053335,0.09439383,0.09410811,0.093614705,0.092432104,0.09088481,0.08881447,0.08723389,0.086278476,0.08622893,0.08618659,0.08598941,0.08540384,0.08504901,0.084859855,0.08487344,0.084761225,0.08592548,0.09227588,0.11193652,0.15308349,0.21795513,0.2946079,0.36080003,0.39461887,0.391188,0.3639396,0.3361236,0.32305765,0.3256152,0.33277786,0.3328884,0.3216697,0.30338323,0.28619826,0.27524516,0.27034867,0.2670202,0.26123402,0.25174135,0.24055009,0.23036073,0.22261792,0.21659373,0.21056955,0.20327498,0.19498391,0.18679678,0.17983532,0.17399181,0.16865535,0.16312623,0.15775633,0.1535191,0.1510015,0.15003961,0.14869608,0.14577763,0.14018159,0.13354649,0.12703489,0.12193248,0.1175974,0.11329643,0.108655035,0.103580005,0.09837078,0.09307023,0.088214785,0.08417249,0.080812655,0.07767228,0.07422364,0.07078611,0.06775334,0.065491594,0.063839875,0.06270223,0.062116843,0.06208378,0.062354255,0.06317695,0.06678667,0.07791089,0.10103506,0.13538678,0.17246316,0.19970143,0.20884854,0.2002918,0.18159662,0.16084163,0.1436031,0.13155107,0.12428513,0.119470395,0.11516228,0.11087843,0.108868,0.11191762,0.12046689,0.13043521,0.13513352,0.1302021,0.11720183,0.10210914,0.09052374,0.08360126,0.07948115,0.07560373,0.07200321,0.06944261,0.06894464,0.069479145,0.07029032,0.07117037,0.07345402,0.07755066,0.08218929,0.08498623,0.0847043,0.0822318,0.07940664,0.077142924,0.07490913,0.07160074,0.06724858,0.06295026,0.061106414,0.06487795,0.07909875,0.106596,0.14396685,0.177853,0.19270933,0.18077461,0.14924969,0.11280916,0.08393536,0.066175155,0.057461035,0.054371852,0.055438202,0.06246209,0.08081668,0.118584335,0.17932291,0.25810203,0.3392907,0.40916097,0.45999256,0.49615407,0.5206254,0.537664,0.5457651,0.5488934,0.5475733,0.5447981,0.53745764,0.5258662,0.5087059,0.4898995,0.4699575,0.4512328,0.43179524,0.41378152,0.39678368,0.3829607,0.36938104,0.35571197,0.3400017,0.32489848,0.31024933,0.2973489,0.28463042,0.27337492,0.26307073,0.25424865,0.24521346,0.23620467,0.22724028,0.21920472,0.21117549,0.20204698,0.19104473,0.17913575,0.16831368,0.15975092,0.15338247,0.14751138,0.14185683,0.1366127,0.13358888,0.13251294,0.13277757,0.13184427,0.12892152,0.12352687,0.117646284,0.11246366,0.109156184,0.10644447,0.10302655,0.09733015,0.0896995,0.08111093,0.074119724,0.07202204,0.07974097,0.09953109,0.1285138,0.1562538,0.17215484,0.17090034,0.15690416,0.13837838,0.12256792,0.11174061,0.1050465,0.10057398,0.09704691,0.09405697,0.09149152,0.08937127,0.08773882,0.08690769,0.087138,0.08831373,0.08981216,0.09091284,0.0910826,0.09016027,0.08828243,0.08601383,0.08403859,0.08280074,0.08210414,0.08143511,0.080664314,0.08036962,0.08179223,0.085547425,0.091469385,0.09785982,0.10318858,0.105831504,0.1056847,0.10279653,0.09839308,0.09314969,0.08825859,0.08393985,0.080699235,0.07815964,0.07641648,0.07545144,0.076025724,0.078854986,0.08405549,0.09082066,0.097344935,0.102332614,0.1050289,0.106018156,0.10599319,0.1057807,0.105898194,0.10748458,0.11384833,0.1308751,0.16608568,0.22259577,0.29659358,0.37526026,0.44586703,0.49878845,0.53406376,0.5540306,0.56380916,0.56468743,0.55884385,0.54667014,0.5304877,0.51119137,0.49003974,0.4667714,0.4418482,0.415392,0.38829282,0.36083305,0.33379173,0.30740908,0.2823173,0.25852835,0.2367726,0.21726008,0.2004597,0.18584065,0.1736002,0.16384701,0.15724693,0.15362225,0.1525036,0.15300246,0.15449972,0.15660177,0.15912028,0.16150434,0.16309845,0.1632778,0.16200608,0.15954244,0.15623105,0.15279192,0.14973253,0.1475067,0.14554034,0.1435575,0.14140432,0.139761,0.1387307,0.13825612,0.13775653,0.13734466,0.13713592,0.13748603,0.13808733,0.13876359,0.13921703,0.13949613,0.13937251,0.13879748,0.13826327,0.13925306,0.14405799,0.1538165,0.16705203,0.17887741,0.18397695,0.18014987,0.16945897,0.15673517,0.14530255,0.13691336,0.13082325,0.12675093,0.12381482,0.12195492,0.12061659,0.11948902,0.11842057,0.11725075,0.11643555,0.11548466,0.11470436,0.11356846,0.113039576,0.113174595,0.11445735,0.11609026,0.11735824,0.11768713,0.117117755,0.116631866,0.11681798,0.11808436,0.119548626,0.120396085,0.11992038,0.11824127,0.116131015,0.11433189,0.113386035,0.11280102,0.11187292,0.10998761,0.10694026,0.10284858,0.09740707,0.091208525,0.084964775,0.08033487,0.077683724,0.0771895,0.07820106,0.08070428,0.08391293,0.086717136,0.087506734,0.08590106,0.08247858,0.079047285,0.07846282,0.08655312,0.113477506,0.17156605,0.26887688,0.39686275,0.52788836,0.62230057,0.65441966,0.62517315,0.56152976,0.4912612,0.42954767,0.37645856,0.33101603,0.29569557,0.2747866,0.26740968,0.26753736,0.26793692,0.2626729,0.24902974,0.22637846,0.19976728,0.17650719,0.16357352,0.16076714,0.1628399,0.16323547,0.1593402,0.15262969,0.14686036,0.14469905,0.1475537,0.15504867,0.16863,0.18628544,0.203503,0.20978196,0.20153956,0.18152533,0.1608606,0.1453548,0.13659209,0.13120629,0.12786561,0.12557395,0.12370447,0.12097174,0.11689752,0.11198457,0.10722519,0.1031492,0.100010894,0.09767291,0.09618067,0.095245816,0.09466118,0.094089724,0.09317947,0.09169837,0.08945239,0.08690414,0.08450019,0.08286393,0.08234436,0.08452618,0.09248907,0.10976648,0.13591619,0.16457222,0.1850685,0.19000088,0.17886208,0.15827481,0.13567953,0.11647593,0.10226253,0.09284272,0.086907156,0.08318933,0.08083466,0.07946324,0.07895103,0.07889196,0.07896704,0.07874178,0.07821786,0.07731085,0.07640978,0.075805046,0.075947426,0.07671804,0.077710055,0.07835775,0.078586966,0.078849345,0.079662986,0.081071585,0.08279136,0.08468053,0.08750015,0.09185017,0.09809577,0.104869865,0.1109822,0.11505962,0.11737412,0.11817554,0.1179792,0.11666366,0.11417952,0.11090989,0.10737475,0.10429925,0.10162873,0.099302195,0.09673225,0.09393895,0.09064544,0.08710512,0.08317638,0.07926059,0.07538811,0.07183228,0.06851723,0.06588315,0.06474995,0.06640006,0.07146591,0.07919499,0.08724768,0.09297202,0.094869554,0.09343618,0.09045446,0.087607734,0.085524775,0.083813965,0.08194678,0.0797114,0.07744145,0.075505964,0.074407816,0.074255824,0.0749666,0.07575315,0.0759151,0.07507701,0.07360577,0.072189,0.07121705,0.070915855,0.0709455,0.070969865,0.070765056,0.07246322,0.081979744,0.10877362,0.15976715,0.2322635,0.310359,0.37254575,0.40355417,0.402921,0.38140854,0.35052618,0.31601068,0.27815363,0.23911534,0.20248777,0.17252819,0.14872713,0.13014258,0.1161608,0.10875249,0.10805113,0.11194694,0.116300374,0.11806484,0.11597704,0.110840105,0.10381033,0.09631696,0.08906225,0.082981974,0.078553,0.07599003,0.07489481,0.074766785,0.076307416,0.081732176,0.09478187,0.11772344,0.14870745,0.18019779,0.20284712,0.21042503,0.2038762,0.18857788,0.17137899,0.15672575,0.14761986,0.14522266,0.14889854,0.15661244,0.16629769,0.17934614,0.19751282,0.21881206,0.23321259,0.22956221,0.2056861,0.17222975,0.1445033,0.13109933,0.13080584,0.13848875,0.15058738,0.16595267,0.18224882,0.1949504,0.19937378,0.19351149,0.17966412,0.16207077,0.14530198,0.13225876,0.12480721,0.123449184,0.12751745,0.13544397,0.14574535,0.15726833,0.16865844,0.17782302,0.18298757,0.18527628,0.18971877,0.20335858,0.22738092,0.25417367,0.26961443,0.26558596,0.24417071,0.21498013,0.18525463,0.15767907,0.13330917,0.11483597,0.1060473,0.10978296,0.1280129,0.16117787,0.20587079,0.25293115,0.29062328,0.31230423,0.31902468,0.31644687,0.30612347,0.28658018,0.25570613,0.21788798,0.18018635,0.15081608,0.13336967,0.12859528,0.13325001,0.14341345,0.15375654,0.16110222,0.16336441,0.16176613,0.15694447,0.15001719,0.14061148,0.12996258,0.119409926,0.11093476,0.10503161,0.102231055,0.102101766,0.10462203,0.10786248,0.110635005,0.11122495,0.110361725,0.10801812,0.10517571,0.1021684,0.10092311,0.10277262,0.1077247,0.11340624,0.11707745,0.11731925,0.11500748,0.11257296,0.11413026,0.12458811,0.14842494,0.1859997,0.2320909,0.27715084,0.31200188,0.33106565,0.33297184,0.31912276,0.29315567,0.26005316,0.22537725,0.1927423,0.16428362,0.14046492,0.122864746,0.11343535,0.11525679,0.12859584,0.14968061,0.1697728,0.18083866,0.17959891,0.1691215,0.15468909,0.14044881,0.12833755,0.11902288,0.11259243,0.108371675,0.10540225,0.10290331,0.10080775,0.09936433,0.09862847,0.09811137,0.096969135,0.09477475,0.09188137,0.089244336,0.08748484,0.08645608,0.08557757,0.0844192,0.083090305,0.08199217,0.08177374,0.08311653,0.08622592,0.090393364,0.093883745,0.095249176,0.09412017,0.091572754,0.088906385,0.0869706,0.085788526,0.08504549,0.083967365,0.08166536,0.077205,0.07080225,0.06364039,0.058027674,0.05607322,0.059775423,0.06978022,0.08516017,0.10265782,0.118351795,0.12929046,0.13477544,0.13586749,0.13424799,0.13175337,0.12977445,0.12917478,0.12968963,0.13039373,0.13028473,0.1290711,0.12723993,0.12552966,0.124460034,0.12403964,0.12408921,0.12428158,0.12441688,0.12424221,0.12378195,0.12306395,0.12231693,0.12155854,0.12090066,0.12029585,0.11972514,0.118927,0.1175526,0.11524554,0.11186576,0.10761425,0.1029467,0.09851851,0.0948864,0.09250959,0.09157467,0.0930176,0.099631794,0.1171223,0.15133551,0.20318025,0.265234,0.32392803,0.36831772,0.3930564,0.39969847,0.3886375,0.36190155,0.3211501,0.27370068,0.22687249,0.18842065,0.16189438,0.14869212,0.1467228,0.15236402,0.16073708,0.16828258,0.17265369,0.17336832,0.17001913,0.16323628,0.15400927,0.14470188,0.13721393,0.13288331,0.13148613,0.13243519,0.13503201,0.14059068,0.15353967,0.18188553,0.2321686,0.30395243,0.3865287,0.46410918,0.5240542,0.5619743,0.5814077,0.5878051,0.58622843,0.5789407,0.56736284,0.55235773,0.53431946,0.5142697,0.49206722,0.46812966,0.44192985,0.4137299,0.38440534,0.3548247,0.32636794,0.29929137,0.27416745,0.25079313,0.22896273,0.20865816,0.18972473,0.17296834,0.1586342,0.14749117,0.13943183,0.13436805,0.13156492,0.12990962,0.1284997,0.1268801,0.12574357,0.12561376,0.12665005,0.1280415,0.12903653,0.12931377,0.12893869,0.12829489,0.1278122,0.12855048,0.13145328,0.13682821,0.14353554,0.14939925,0.1526596,0.15260668,0.15027398,0.1469831,0.14409207,0.14199845,0.14077981,0.14048146,0.141968,0.14873426,0.16854702,0.21219914,0.2863907,0.38315216,0.47896257,0.5443215,0.5647556,0.5462311,0.50951284,0.46953157,0.42926183,0.38379952,0.33322468,0.2869424,0.25627163,0.24628706,0.24982023,0.25432387,0.24814118,0.22947077,0.20533673,0.18644686,0.17843132,0.17807996,0.17809671,0.17285722,0.16258158,0.15076311,0.14155364,0.1379763,0.14014542,0.14611827,0.15342689,0.16447932,0.18615645,0.22172685,0.26283702,0.2894784,0.28699043,0.25560775,0.21205075,0.17237411,0.1452577,0.12907465,0.12059024,0.116134815,0.114759654,0.117198825,0.12767613,0.15107559,0.189972,0.24025202,0.29086053,0.3266485,0.33686695,0.32152155,0.29344225,0.2697831,0.2623621,0.27115616,0.28711674,0.29895952,0.2986261,0.28370678,0.25670025,0.22539182,0.19957472,0.18680306,0.185683,0.18723959,0.18099566,0.16381301,0.14106958,0.12220868,0.114080586,0.11741266,0.12768726,0.13854724,0.14590648,0.14915155,0.15001921,0.1501779,0.15055417,0.1515931,0.1535719,0.15651713,0.15984584,0.16303568,0.16549742,0.16708897,0.16744353,0.16634244,0.16344021,0.15888776,0.15344079,0.14853549,0.1456713,0.1454422,0.14726198,0.14971863,0.15182643,0.15363179,0.15594661,0.15959817,0.1647015,0.17086011,0.17727236,0.18303572,0.1873826,0.18991913,0.19101243,0.19120823,0.19090049,0.18970633,0.18704756,0.1825219,0.17630331,0.16885944,0.16063862,0.15197764,0.14322786,0.13476293,0.12718591,0.1209017,0.116514124,0.11425137,0.1143853,0.11645066,0.11917893,0.12010431,0.11669329,0.10800975,0.09634588,0.08600968,0.08068654,0.08036002,0.082513295,0.08465948,0.08713585,0.09161971,0.099074624,0.10841588,0.117842175,0.12606822,0.1324455,0.1364879,0.13774376,0.1362984,0.13287519,0.1285258,0.12421399,0.12053126,0.11779064,0.11603748,0.11584583,0.11912328,0.13112329,0.15929459,0.21047227,0.2826948,0.36353636,0.4334484,0.47873163,0.49701717,0.49507883,0.4786065,0.44880974,0.40571964,0.35538277,0.30853513,0.2761048,0.2607468,0.2585912,0.26140943,0.26391026,0.26336128,0.25959647,0.25215307,0.24075817,0.22602715,0.20978738,0.19490932,0.18326811,0.17599219,0.17207195,0.17066008,0.17071849,0.17383774,0.1833651,0.20464975,0.24197137,0.29570615,0.3598841,0.42294383,0.47325143,0.5041583,0.516032,0.5126849,0.49894968,0.479391,0.45862558,0.43933657,0.42205688,0.40553582,0.38870546,0.37026668,0.34894243,0.32475635,0.3002309,0.2800676,0.2672583,0.26128212,0.25857386,0.25590327,0.25245592,0.24822801,0.24323916,0.23671468,0.22933133,0.22251326,0.21765395,0.2148547,0.21341856,0.21241355,0.21089311,0.2078449,0.20318846,0.19749574,0.19207019,0.1873753,0.18357664,0.18016957,0.17676862,0.17281926,0.16829695,0.16385083,0.16196042,0.16634655,0.18044178,0.201724,0.22127028,0.2269137,0.2145576,0.18975462,0.16479594,0.14723057,0.13832076,0.13403715,0.13164042,0.13113616,0.13627999,0.15444995,0.19533615,0.2685177,0.3714811,0.4865183,0.5807115,0.63122135,0.63440305,0.61184555,0.585365,0.56922084,0.5609562,0.5555017,0.5462783,0.5335998,0.5178988,0.5024796,0.48682868,0.4712344,0.4538552,0.43503538,0.41442347,0.3933257,0.3729144,0.35503384,0.34034848,0.32806814,0.31659853,0.30443302,0.2919517,0.27988112,0.26963755,0.2606946,0.2527219,0.24430193,0.23569453,0.22676772,0.21859473,0.21110965,0.20460407,0.1982137,0.19192268,0.18508841,0.17806543,0.17026472,0.16238244,0.15561958,0.1542108,0.16332519,0.18716478,0.22518182,0.27134743,0.31752047,0.3557868,0.38258624,0.39635924,0.39954746,0.39412,0.38343522,0.368614,0.35139647,0.3320661,0.31222346,0.29347613,0.27939317,0.27142024,0.26824805,0.26319173,0.25022492,0.2263847,0.19541316,0.16318394,0.13549395,0.114901625,0.10174459,0.09459695,0.09147746,0.09043986,0.08991315,0.08894212,0.08694309,0.083893955,0.079960525,0.07566818,0.071537696,0.068331756,0.06667656,0.06700921,0.06920502,0.072678365,0.07654872,0.07996423,0.082403995,0.083812535,0.08471632,0.08590297,0.08802989,0.09102575,0.09426367,0.09712801,0.09957021,0.10188201,0.10385678,0.10480377,0.10416431,0.10236409,0.10058317,0.09941333,0.09867235,0.09731054,0.09535367,0.09357032,0.093337364,0.09507386,0.09796006,0.10099829,0.103193976,0.10460714,0.104780905,0.10363565,0.100733906,0.0965766,0.09206429,0.08853236,0.08706892,0.08786264,0.09017929,0.092464454,0.09344992,0.09255779,0.09001296,0.086404495,0.08227351,0.07817599,0.07459461,0.07208563,0.07108428,0.07173869,0.073704444,0.07620013,0.07831605,0.07944797,0.07930439,0.07791217,0.07534101,0.07203663,0.0688423,0.0670203,0.067526035,0.07042837,0.07462726,0.0783869,0.080186985,0.08000746,0.080168605,0.08623276,0.10529723,0.14380477,0.20281239,0.27719912,0.35591188,0.42774615,0.48445308,0.5241638,0.54825455,0.5610129,0.5651633,0.56438494,0.55913335,0.5509426,0.5386149,0.52396005,0.5071772,0.49050906,0.47320095,0.4557298,0.43714127,0.41863218,0.40049565,0.38351285,0.36715952,0.35110676,0.33543515,0.3205029,0.30680767,0.29320505,0.2782172,0.25974435,0.23871903,0.21914978,0.2087552,0.21235637,0.22806054,0.24438119,0.2493667,0.23697364,0.21270792,0.18635595,0.16663766,0.1562557,0.15307744,0.1529278,0.15125172,0.14647281,0.13943334,0.13316476,0.12988704,0.12937306,0.13003527,0.12930918,0.12674461,0.122601025,0.118784554,0.11624902,0.11538451,0.11539403,0.115220524,0.114189945,0.112289846,0.11035625,0.109263994,0.10938286,0.11023775,0.110919744,0.1107774,0.10978028,0.10841439,0.10771427,0.10878911,0.11291838,0.120236635,0.13001569,0.1402197,0.14913978,0.15522778,0.15809536,0.15794326,0.1558011,0.15244663,0.14848262,0.14436789,0.14101923,0.13885027,0.13773333,0.13672812,0.13569148,0.13459997,0.13415249,0.13539809,0.14162539,0.15683956,0.18294631,0.21602263,0.24995406,0.28212786,0.31806806,0.36397064,0.41977847,0.4754559,0.5191954,0.54458284,0.55313104,0.551578,0.546104,0.5403573,0.533904,0.52565783,0.5176771,0.5156166,0.5242436,0.5389962,0.5456395,0.53042066,0.49126706,0.4418278,0.3978225,0.36867824,0.35097256,0.33868825,0.32661346,0.3147324,0.30393,0.29482922,0.28706324,0.27965698,0.27168408,0.2623686,0.2522637,0.24369086,0.23836076,0.23581539,0.23201203,0.22317798,0.20790024,0.18880074,0.16994976,0.15434201,0.14266993,0.13468057,0.13186763,0.13812064,0.15761857,0.19027436,0.23029952,0.2683718,0.2983223,0.31938505,0.33493719,0.34745812,0.35692438,0.3621762,0.361545,0.35362008,0.33646712,0.31066993,0.28045782,0.25260207,0.23198913,0.21771598,0.20521104,0.18970175,0.17059879,0.14995548,0.13118085,0.11653492,0.10707364,0.102191,0.100128286,0.0992529,0.09866949,0.09871224,0.09964352,0.10181869,0.10493338,0.10861056,0.11181271,0.11370773,0.11389921,0.113013655,0.11194766,0.111226,0.11057961,0.10935214,0.107336245,0.10519478,0.10432907,0.10562108,0.10867966,0.11184114,0.11370129,0.113993384,0.11363709,0.113656856,0.11468291,0.11696487,0.120408386,0.12459847,0.12844831,0.13116407,0.13227183,0.13252057,0.1323847,0.13240884,0.13199127,0.13091636,0.1288318,0.1262425,0.12337286,0.12049714,0.117488116,0.11441787,0.11144962,0.10894062,0.10722816,0.10653338,0.10693541,0.10828201,0.11041681,0.11294401,0.11544394,0.11731014,0.11831159,0.11859118,0.11862561,0.11871973,0.11864581,0.117899366,0.115926266,0.11275596,0.108733684,0.104550034,0.10060134,0.09710639,0.09396943,0.091255926,0.089168124,0.08812671,0.08838582,0.089969374,0.092523225,0.09556048,0.098652124,0.101675086,0.10511088,0.11035951,0.12032948,0.13937473,0.17173053,0.21999337,0.28171507,0.35119793,0.41826597,0.47558674,0.51759833,0.5456057,0.56173676,0.569336,0.5701509,0.56563276,0.55799526,0.54820895,0.537144,0.5245443,0.5103167,0.49501038,0.4779884,0.4601958,0.44143656,0.42325053,0.4055994,0.38849118,0.3719376,0.35579088,0.3409753,0.32651058,0.3125427,0.2986916,0.28724495,0.27935985,0.27448496,0.2699652,0.26432088,0.25931147,0.25546256,0.2508277,0.2397517,0.22089787,0.19685812,0.1746409,0.15846287,0.14983499,0.14582492,0.14331333,0.1394463,0.1349876,0.13200577,0.13285576,0.13674577,0.1403346,0.14000522,0.13427737,0.12536037,0.11628253,0.10968397,0.10539863,0.10260182,0.10011661,0.09802133,0.0968349,0.09731463,0.09987798,0.10409567,0.1093797,0.11480086,0.1201786,0.1249763,0.12875296,0.13034557,0.12896477,0.12476977,0.11924055,0.11453023,0.11135615,0.11050645,0.11416531,0.12871681,0.15761335,0.19604765,0.22779149,0.23775671,0.22198439,0.19127475,0.16084462,0.14089584,0.13318373,0.13397825,0.13847625,0.1431395,0.14708297,0.1536475,0.1717516,0.214765,0.29060692,0.39170656,0.4928471,0.56709546,0.60293055,0.6090746,0.6025087,0.5941605,0.586252,0.5764249,0.56508875,0.5544652,0.5476272,0.5442896,0.542121,0.5374263,0.52851266,0.5155427,0.5003575,0.48439312,0.46840748,0.4522814,0.43569398,0.4185226,0.40110806,0.3841928,0.36839893,0.35379556,0.34015116,0.3270269,0.31441653,0.30235216,0.29122257,0.28109232,0.2719626,0.2636557,0.25634435,0.25000986,0.24469058,0.24009687,0.23644727,0.23351903,0.23090494,0.22762011,0.22318023,0.21790214,0.21342383,0.21250059,0.21819921,0.23231192,0.25424626,0.2806406,0.30675697,0.32797274,0.34212923,0.34925738,0.35144082,0.35072505,0.34921518,0.34718338,0.3428143,0.33234888,0.31384015,0.28968892,0.26561844,0.24578203,0.22914465,0.21136571,0.18924262,0.1642525,0.14042084,0.12173396,0.10940561,0.10295636,0.100585066,0.10047627,0.1008235,0.10078853,0.10040337,0.10055104,0.101983905,0.10504585,0.10933402,0.11396491,0.11790342,0.12045943,0.121753454,0.12239603,0.122990094,0.123465694,0.12332598,0.12225417,0.120636605,0.1194044,0.1191433,0.119491585,0.11922646,0.11728063,0.11366689,0.10945403,0.10597397,0.10374904,0.10243398,0.1012182,0.09969923,0.0979862,0.096545525,0.0956196,0.09522898,0.09522649,0.09570175,0.096609145,0.097866625,0.09897711,0.0998094,0.10029658,0.10076764,0.101073295,0.1007182,0.09861805,0.09372881,0.08586129,0.076628305,0.06976667,0.06952009,0.07801103,0.09330215,0.11014066,0.12343689,0.13063473,0.13277842,0.13189958,0.13023871,0.12844957,0.12710613,0.12588058,0.12495944,0.1240023,0.123222,0.122385286,0.12162427,0.12073349,0.119950436,0.119334765,0.11914399,0.11929014,0.11985541,0.12091482,0.122733735,0.12529369,0.12831692,0.1315229,0.1355944,0.14278136,0.15685152,0.18175286,0.22035547,0.27296433,0.33626723,0.4029269,0.4637135,0.51156276,0.5444614,0.56454927,0.5750723,0.5783853,0.57637274,0.57089645,0.5634467,0.5545343,0.5439644,0.53171605,0.5179437,0.5030439,0.48719367,0.470832,0.4544015,0.4383954,0.42280677,0.4072243,0.39099607,0.3741373,0.35737976,0.34317675,0.33545244,0.339571,0.35788277,0.38619116,0.41376817,0.43010673,0.43196353,0.42179087,0.4032296,0.37569833,0.33937457,0.29673114,0.25501105,0.22045791,0.19755362,0.18658899,0.1858111,0.19152772,0.19973628,0.20735776,0.21205242,0.2134118,0.21102226,0.20642437,0.2005285,0.19539411,0.19137134,0.18916754,0.18828416,0.18889397,0.1903534,0.1921506,0.19305116,0.19238813,0.18971312,0.18562621,0.18081678,0.17641775,0.1729824,0.17113389,0.1708057,0.17195554,0.17372048,0.1749928,0.17372936,0.16789074,0.15610556,0.13933094,0.12095386,0.10503801,0.09430797,0.089040495,0.08887127,0.09329758,0.10192632,0.11284152,0.123568594,0.13208456,0.13808213,0.14191745,0.1437481,0.14340489,0.14207155,0.14334005,0.15442473,0.18442966,0.24207132,0.32694146,0.42405048,0.5057862,0.54951733,0.5543385,0.5400605,0.52998334,0.53305626,0.5457511,0.560111,0.57196254,0.5784917,0.57810426,0.5693584,0.5529392,0.5306522,0.5062955,0.4836245,0.46579674,0.45314658,0.44464722,0.43753168,0.42951533,0.41848457,0.404736,0.38906303,0.37342772,0.3586527,0.34609988,0.3359097,0.32837406,0.32159278,0.31300506,0.29979876,0.28309825,0.2674452,0.25776127,0.25510532,0.25614455,0.25709784,0.25516185,0.25012925,0.24202059,0.23210783,0.22088559,0.20943405,0.19883828,0.19277807,0.19582671,0.21160668,0.23823865,0.26950732,0.29804906,0.3206134,0.33760977,0.35074547,0.3601025,0.36512873,0.36529577,0.36094403,0.35179517,0.33831787,0.32041338,0.29881868,0.2728516,0.24304394,0.21033412,0.17767479,0.14798677,0.12423261,0.107943036,0.09881062,0.094427325,0.091858596,0.08943147,0.08727161,0.0863488,0.08693293,0.08844534,0.08976233,0.0903978,0.090414256,0.0905582,0.09139221,0.09316792,0.09546244,0.09760913,0.09922933,0.10040624,0.10160629,0.10291204,0.10423466,0.10504248,0.104882985,0.10320723,0.10003441,0.09620729,0.0929504,0.09130066,0.09096017,0.091362506,0.09163776,0.092056595,0.092712246,0.09379375,0.09447014,0.09419438,0.0927993,0.09128344,0.09081099,0.09201672,0.09445906,0.09693444,0.09873175,0.0996998,0.10063356,0.101770364,0.103161104,0.103978865,0.10383389,0.10238969,0.09988851,0.09638089,0.09174961,0.086008854,0.0798857,0.07569754,0.07586575,0.08150099,0.09031212,0.098465376,0.10275035,0.1030448,0.101116925,0.09907503,0.09772264,0.0971651,0.09707711,0.09734581,0.097536065,0.09740143,0.09668436,0.09568772,0.09467723,0.09403509,0.09376604,0.093802154,0.09387591,0.09387144,0.09386688,0.09425157,0.09607798,0.10165299,0.115049265,0.14080876,0.18186899,0.23754872,0.30349132,0.37218586,0.43444586,0.48260942,0.51442844,0.5337117,0.5459251,0.5536656,0.557154,0.55710906,0.5554421,0.5525136,0.54708284,0.53814983,0.5264526,0.51299256,0.49796054,0.48161423,0.46476135,0.44875714,0.4340508,0.42044362,0.40691543,0.39283404,0.37839386,0.36506236,0.3551408,0.35151544,0.35646442,0.37029693,0.38968095,0.40922067,0.42350706,0.4289159,0.42359182,0.405588,0.37476775,0.33192453,0.28291756,0.23457952,0.19545428,0.1695127,0.1579817,0.15692794,0.16191417,0.16784883,0.17327334,0.17730689,0.18021761,0.17929995,0.17269255,0.15949588,0.14307873,0.12754433,0.11648924,0.110151134,0.106903814,0.1041887,0.10106438,0.0982058,0.09764409,0.10058532,0.106505014,0.11324412,0.11829261,0.1203601,0.119156264,0.11531595,0.109398164,0.102562,0.09629337,0.092165,0.09084419,0.09180042,0.09412258,0.09824457,0.107600264,0.12801522,0.1621527,0.20380194,0.2368292,0.24610637,0.22826286,0.19545145,0.16383539,0.14318077,0.13257588,0.12758239,0.12571932,0.12824501,0.13769263,0.15514706,0.18133402,0.21322109,0.24562673,0.2675472,0.27188745,0.2564642,0.22979875,0.20138745,0.17976755,0.16704433,0.16293876,0.16405459,0.16688709,0.1676042,0.16491108,0.15940475,0.15295513,0.14715423,0.1425858,0.14000088,0.13918102,0.13964427,0.139383,0.13702564,0.13245267,0.1270748,0.12256985,0.11936516,0.117446035,0.11654083,0.11691756,0.11846351,0.12066398,0.12306895,0.12536484,0.12750821,0.1289791,0.12932406,0.12851878,0.1268662,0.124836676,0.122133434,0.11884799,0.115170054,0.11268657,0.11307163,0.11817,0.1273297,0.13792104,0.14552261,0.14829324,0.14704144,0.14439338,0.1410889,0.13613407,0.12916954,0.12185591,0.11710051,0.11602867,0.11734811,0.11849814,0.11807808,0.11766428,0.12126496,0.13198061,0.14832373,0.16297977,0.16788413,0.15935563,0.14116007,0.120652966,0.10428971,0.09425127,0.08934694,0.087048106,0.085669845,0.084498465,0.08356931,0.08278967,0.082124434,0.081451125,0.080737956,0.07997746,0.07916257,0.078353606,0.07749171,0.07659033,0.07566637,0.074852414,0.074167155,0.07354329,0.07291452,0.07250955,0.07297381,0.07520329,0.07953615,0.08514463,0.09006851,0.09279454,0.09334097,0.093335986,0.09402985,0.09532544,0.09571642,0.09425672,0.091095805,0.087694466,0.085190244,0.08395214,0.083236404,0.08219633,0.08051161,0.07854473,0.07701521,0.07635883,0.07664915,0.077470034,0.07834544,0.07889376,0.07906634,0.07897974,0.07884716,0.07872853,0.07853558,0.07810239,0.07741594,0.07656454,0.075536884,0.07426279,0.072709985,0.07106269,0.06943923,0.06800852,0.06684276,0.066115625,0.06577647,0.06575919,0.065923505,0.06628269,0.06683442,0.06757603,0.06846005,0.069411606,0.0702825,0.07088635,0.07102896,0.07070803,0.07000884,0.06923855,0.06859284,0.06818292,0.06786445,0.068536274,0.07284072,0.08503896,0.10616205,0.13169137,0.15218516,0.16205342,0.16285938,0.16092241,0.15910165,0.1546638,0.14480354,0.13126448,0.12055721,0.117565624,0.12257832,0.13183038,0.14085561,0.14733624,0.15060371,0.15173054,0.15162547,0.1513356,0.15084578,0.14984034,0.14812143,0.14623,0.1452149,0.14524047,0.14583398,0.14594351,0.14581822,0.1474629,0.15622996,0.17976232,0.2246397,0.28903648,0.35929045,0.4140444,0.43681982,0.4264412,0.39686725,0.3673888,0.34956673,0.3434368,0.3404766,0.33289847,0.31857738,0.30147886,0.2874806,0.27935162,0.27575243,0.2723343,0.26586458,0.25549468,0.24321441,0.23166025,0.22294252,0.21704663,0.21252005,0.2069668,0.19956231,0.19089854,0.18315955,0.17721243,0.1728193,0.16843824,0.16388398,0.15959741,0.15637577,0.15331624,0.14938553,0.14390749,0.13803792,0.13273282,0.1285355,0.124655016,0.12066233,0.11648939,0.112829946,0.1101198,0.10834089,0.10678634,0.104619384,0.10138171,0.09736361,0.09315371,0.08894774,0.08423525,0.07833774,0.07125159,0.06375647,0.056962207,0.051792964,0.050240636,0.057125498,0.081520736,0.13174717,0.20895815,0.29971012,0.38334033,0.4409717,0.46809185,0.4683353,0.44869065,0.41181573,0.3626589,0.3096358,0.26547813,0.23847009,0.230016,0.23276967,0.23874569,0.24260952,0.24607794,0.25145254,0.2575892,0.2574684,0.24426483,0.21882944,0.18894215,0.16503589,0.15083258,0.14522256,0.1432811,0.14259373,0.14205866,0.14375009,0.15192056,0.1727271,0.20688649,0.24537015,0.27038908,0.26998082,0.24571677,0.21257769,0.18424879,0.1664628,0.15655297,0.15057826,0.14635284,0.14346719,0.1431071,0.14845031,0.16507041,0.19730227,0.24318826,0.29210198,0.32975268,0.34665617,0.343222,0.3254528,0.299513,0.26783267,0.2338401,0.20226187,0.17956191,0.16793169,0.16572607,0.16829176,0.17285037,0.17929576,0.1884424,0.19907303,0.2068795,0.20765258,0.19985835,0.18586044,0.16966037,0.15449013,0.1418997,0.1320285,0.12495255,0.12058943,0.11846647,0.1175643,0.116653316,0.11539244,0.113760434,0.11234666,0.11115772,0.1103036,0.10947827,0.10866579,0.107942164,0.10744809,0.107306935,0.10723102,0.107150376,0.10680419,0.106315315,0.10552608,0.10455526,0.10342298,0.10240335,0.10166287,0.101379216,0.101512425,0.10186648,0.10195734,0.101390816,0.099979885,0.098281614,0.09718707,0.09763608,0.09962061,0.1022014,0.1039552,0.10397609,0.10237677,0.099979214,0.097804986,0.096420616,0.0959158,0.09584668,0.095825195,0.09563386,0.095634855,0.096087284,0.097129785,0.09821866,0.09903923,0.09955564,0.10049692,0.10209614,0.10411322,0.10558786,0.106420815,0.10670823,0.1069007,0.10641096,0.10504971,0.10289103,0.10117552,0.10113811,0.10389706,0.1096886,0.117553584,0.12544447,0.13100936,0.1330796,0.13208537,0.12950768,0.1266683,0.12406516,0.12177405,0.119835615,0.11858779,0.1180085,0.11790029,0.11855013,0.12292815,0.13758427,0.17106546,0.22823048,0.30425683,0.38336384,0.44634458,0.48078462,0.48776802,0.4756224,0.45271555,0.4205059,0.3799912,0.3349836,0.29488578,0.26782462,0.2564476,0.25684026,0.26221144,0.26729545,0.26953772,0.26808667,0.2620711,0.25078878,0.23507564,0.21792601,0.20276542,0.19208509,0.18595074,0.18361045,0.18406849,0.18795295,0.19831936,0.21976024,0.2567352,0.30703923,0.3614923,0.4035318,0.42123583,0.41244265,0.38931677,0.36741337,0.3566686,0.35513493,0.35387906,0.34530964,0.32837224,0.30865145,0.2929398,0.28544506,0.2852656,0.29017255,0.2964389,0.30175304,0.30165154,0.29468998,0.28093883,0.26471007,0.24914064,0.23615487,0.22564857,0.21766607,0.21220373,0.20850056,0.20480762,0.19979702,0.19372053,0.18809976,0.18383372,0.18032958,0.17582512,0.16925274,0.16057263,0.15139496,0.14344257,0.13844316,0.13666396,0.13721575,0.13840751,0.13944869,0.1422035,0.1505993,0.16689517,0.1870166,0.20095359,0.20000525,0.1840874,0.16163933,0.14217871,0.12946476,0.12174416,0.11556724,0.109622024,0.10419061,0.10040445,0.09877668]