[0.15105142,0.15416466,0.15747744,0.1547323,0.14497697,0.1321568,0.12088549,0.11261057,0.1065864,0.10170292,0.097531445,0.093926825,0.090810984,0.08791164,0.08507585,0.082132846,0.07916603,0.0762539,0.07355987,0.07116839,0.06899694,0.06689852,0.064617015,0.062236506,0.059836518,0.057679374,0.05564909,0.05364138,0.052132178,0.0533322,0.061466854,0.079270266,0.1040183,0.12510519,0.13077438,0.11588503,0.086951934,0.056158304,0.03342921,0.021355638,0.017539442,0.01889229,0.023769133,0.03130294,0.039694082,0.04649212,0.04958887,0.048553854,0.044243056,0.0380929,0.031529445,0.026126469,0.023917386,0.026365846,0.03343876,0.042623762,0.05078825,0.055622872,0.05718041,0.0565871,0.055207353,0.05405811,0.05454858,0.058727544,0.06778919,0.08073562,0.093741655,0.10308677,0.10706536,0.10706001,0.10508639,0.10255613,0.09967557,0.0964692,0.093011,0.089428544,0.085772105,0.08218039,0.07890145,0.07622427,0.07424162,0.07280996,0.07141366,0.0694051,0.06639204,0.06271846,0.059266042,0.056860436,0.055712327,0.055718392,0.056800786,0.059212416,0.06302911,0.06886625,0.078634515,0.0966225,0.12659973,0.16835463,0.2145638,0.25444865,0.27898654,0.2856392,0.27675793,0.25594455,0.22551893,0.1881036,0.14982565,0.12005047,0.10678402,0.11085472,0.12568247,0.14215666,0.1546458,0.16167182,0.16340716,0.15947208,0.1512401,0.14426285,0.14649709,0.16194512,0.18587057,0.20797479,0.2193455,0.21763183,0.20478028,0.18356186,0.15679677,0.1300464,0.112499565,0.111602575,0.12707698,0.14873786,0.16396548,0.16513552,0.1535926,0.1350801,0.11552414,0.09816883,0.084772505,0.07589224,0.07122771,0.06929941,0.06828951,0.06685322,0.06470851,0.062275752,0.060078185,0.05822335,0.05657154,0.05508216,0.054057363,0.05376588,0.054078672,0.05451715,0.054873753,0.055533398,0.057048697,0.059781898,0.06415676,0.07182276,0.08432624,0.10101933,0.116332114,0.12327295,0.11790917,0.10366825,0.087882675,0.07691038,0.07216492,0.07161368,0.07272332,0.07438562,0.076583296,0.07947061,0.083184786,0.08809212,0.09455597,0.10228902,0.11025723,0.11781331,0.12616678,0.13833986,0.15669084,0.17981927,0.20191367,0.21614522,0.21914762,0.21284604,0.20224155,0.19192536,0.18424107,0.17969285,0.17840542,0.18160164,0.19115222,0.20777635,0.22770669,0.2436151,0.24808608,0.23935936,0.22140588,0.2007056,0.18133545,0.16395505,0.14753395,0.13131376,0.11547217,0.10019421,0.08577783,0.07270562,0.06221519,0.055160686,0.0515006,0.049984578,0.04943444,0.048897877,0.047698516,0.045023117,0.040980965,0.037264854,0.03657737,0.040475298,0.04786043,0.056692947,0.0671447,0.08371919,0.111413896,0.15041266,0.19247115,0.22550821,0.24037337,0.23632653,0.21938317,0.197995,0.17859118,0.16445859,0.15646352,0.15410475,0.15602832,0.16021226,0.16499627,0.16982329,0.17473203,0.1784963,0.17784627,0.16983928,0.15560651,0.14116019,0.13331318,0.1334479,0.13607007,0.13285007,0.119510375,0.09821832,0.07550845,0.057972107,0.04977043,0.052338153,0.064642556,0.0840415,0.10665365,0.12820204,0.14411019,0.15050595,0.14580408,0.1320548,0.11426002,0.09758211,0.08508766,0.07728923,0.07358713,0.0731501,0.07500729,0.077497296,0.07912737,0.079865456,0.08197249,0.087834746,0.09722952,0.105966456,0.10904161,0.10427757,0.09411916,0.08277888,0.07311692,0.06524242,0.058105823,0.05189338,0.049096655,0.05419356,0.06970034,0.092577495,0.11249575,0.11811725,0.104724966,0.07837129,0.05049524,0.030278413,0.020983271,0.022483587,0.034620654,0.056379735,0.083666734,0.10879848,0.12527148,0.13102959,0.12918966,0.12392817,0.118399374,0.11384406,0.1108534,0.10943931,0.10950881,0.110848255,0.113176495,0.11543542,0.11593919,0.11372068,0.10952046,0.105603896,0.103410415,0.1031815,0.10434514,0.10712422,0.11168644,0.11693945,0.12074385,0.12167469,0.12053209,0.118955195,0.117636226,0.11567638,0.1120964,0.107185096,0.10233005,0.09883848,0.096881896,0.0958409,0.09515538,0.095131405,0.096384734,0.09902621,0.102052204,0.10407897,0.10423094,0.10283651,0.10111737,0.1005029,0.101742096,0.104274265,0.1063965,0.1062004,0.10331432,0.099554636,0.098211415,0.10102772,0.10644996,0.10976166,0.10703102,0.09771415,0.08518129,0.07345553,0.064932466,0.05969557,0.056792185,0.055074017,0.053491805,0.051240474,0.048181266,0.04492682,0.042422205,0.041194405,0.041102346,0.041579217,0.042302873,0.04393963,0.04824337,0.05704097,0.07033387,0.08550459,0.09871181,0.107351035,0.1112159,0.11150417,0.10937363,0.105683394,0.101433426,0.09803027,0.09626097,0.09594419,0.095906615,0.09531025,0.09383467,0.091664374,0.08859085,0.08423852,0.0783132,0.07114469,0.06334787,0.055592775,0.04835986,0.042080864,0.03704718,0.033221908,0.030141747,0.027151784,0.023845695,0.0202827,0.016867822,0.014001076,0.01182763,0.010240838,0.009015276,0.007966158,0.0069900774,0.006088522,0.0053249435,0.00544072,0.008298431,0.017243896,0.034122985,0.056882817,0.0777336,0.08832228,0.08427996,0.06886166,0.049099367,0.031755723,0.020225646,0.015708504,0.019243216,0.031637702,0.052037567,0.07583365,0.09644445,0.10759852,0.10629457,0.09309808,0.07209451,0.050040293,0.03433079,0.031049317,0.041834936,0.06374038,0.08885475,0.10838313,0.1149869,0.1067793,0.08666297,0.06186184,0.04058837,0.029995881,0.034213666,0.052598525,0.07982848,0.10659953,0.12521152,0.13214608,0.12942651,0.11997754,0.106216244,0.09029115,0.07694795,0.072786205,0.08257067,0.10509112,0.13289647,0.15651108,0.1696704,0.17153746,0.16469218,0.15223552,0.13660507,0.12033842,0.10555921,0.0927592,0.080716744,0.06927127,0.061040774,0.059313208,0.06369539,0.06909648,0.0702881,0.06774778,0.06899638,0.08283052,0.111898094,0.14981028,0.1857385,0.21126896,0.222948,0.22080016,0.20576084,0.18103635,0.15234052,0.12712075,0.11098402,0.10680017,0.114323616,0.13085823,0.15088208,0.16790466,0.17625718,0.17328636,0.15900098,0.13691668,0.11402688,0.1004793,0.10449159,0.1268396,0.15731527,0.18000866,0.18213128,0.16269527,0.13385782,0.11651733,0.13333939,0.1967296,0.3014774,0.41926304,0.5135313,0.5542466,0.53611004,0.4749931,0.3994753,0.33346832,0.2884433,0.26284263,0.249752,0.24402833,0.24285883,0.24412249,0.245048,0.24481773,0.24453177,0.24548917,0.2468306,0.24693109,0.24568422,0.24551032,0.24876201,0.25515175,0.260721,0.26015308,0.2502246,0.23213989,0.2121092,0.19833298,0.19761123,0.20999809,0.22850402,0.24181853,0.24241118,0.22993957,0.20992094,0.18761818,0.16564015,0.14507557,0.12771149,0.115303315,0.10827445,0.10613821,0.10907075,0.118054025,0.13272725,0.15069847,0.16837396,0.18312418,0.19353192,0.19919513,0.20088892,0.20082505,0.20233054,0.2075674,0.21613716,0.22439583,0.22736609,0.22062093,0.20336556,0.18161829,0.17019682,0.18874927,0.24882977,0.34237638,0.43923494,0.50373375,0.51237184,0.46688807,0.38849258,0.3060467,0.24138075,0.2027322,0.18650158,0.18372731,0.18699111,0.19179772,0.19614853,0.19872367,0.19896811,0.19697316,0.19331689,0.18872239,0.18387222,0.17961031,0.17650266,0.17463857,0.17332391,0.17182072,0.16983126,0.16752577,0.16488157,0.16238344,0.16233622,0.16972835,0.18746407,0.21296777,0.23662059,0.2501814,0.25046077,0.24023499,0.22118516,0.1935808,0.15919589,0.12569246,0.104099505,0.102844805,0.122613184,0.15638876,0.19245386,0.21965052,0.23089524,0.22504331,0.20530872,0.17738311,0.14864312,0.12734531,0.12151188,0.1343189,0.16250038,0.19582038,0.22388409,0.24022229,0.24547376,0.2444862,0.24535203,0.25948086,0.29800296,0.36452213,0.4448727,0.51140416,0.5354373,0.506959,0.438805,0.35925913,0.29389915,0.25498196,0.240147,0.24056166,0.24760373,0.25577408,0.26121202,0.26126167,0.25468057,0.24230202,0.22631745,0.2093832,0.19428986,0.18407989,0.18153541,0.187967,0.20144887,0.21727143,0.22987102,0.23639745,0.23741908,0.23607075,0.23574787,0.23903914,0.24605155,0.2530239,0.25326842,0.241556,0.21876551,0.19132833,0.16667019,0.14837141,0.13612942,0.12821248,0.12388425,0.123265535,0.12584682,0.12965058,0.13186228,0.13040261,0.12506108,0.117008545,0.10793386,0.09844477,0.08838522,0.07713438,0.06496975,0.052731752,0.04139596,0.031481218,0.023149736,0.016524805,0.011560046,0.00816241,0.0063966694,0.0069303215,0.010971644,0.019030849,0.029938733,0.040388152,0.047006577,0.04795064,0.044405013,0.03970048,0.03832027,0.043593884,0.05642424,0.0749229,0.096289866,0.117058635,0.13300085,0.13817646,0.12879382,0.10594791,0.077206746,0.051563825,0.035907462,0.03219424,0.03935005,0.053487256,0.06940424,0.08060573,0.082788564,0.07574619,0.06447675,0.05487029,0.051000267,0.05453493,0.06952578,0.10022682,0.14660156,0.19615938,0.23179884,0.24144553,0.22956379,0.20982277,0.19525391,0.19033511,0.19630808,0.22047813,0.27214012,0.3517497,0.43637934,0.49285495,0.49566516,0.44793758,0.37353525,0.30279222,0.2559582,0.24223669,0.26505736,0.32170364,0.39940575,0.46965846,0.50181144,0.4786918,0.41069224,0.32615826,0.2554497,0.21617271,0.21387535,0.2485082,0.3161097,0.40414873,0.4876226,0.5388585,0.5409607,0.4985608,0.43174815,0.36451352,0.31170854,0.27663153,0.25514686,0.24239683,0.23587735,0.2337314,0.23387986,0.2335114,0.23179255,0.22947176,0.22922929,0.23302297,0.24176477,0.25407016,0.26769817,0.28015366,0.29023126,0.29735115,0.30152646,0.3024206,0.30015448,0.29586866,0.29243016,0.29381442,0.30112055,0.31041408,0.31239334,0.300521,0.27528912,0.24557807,0.22014825,0.20238362,0.18866916,0.17434263,0.15925385,0.14786328,0.14345443,0.14283179,0.13995896,0.135206,0.13757552,0.15624653,0.18778169,0.21818572,0.23325984,0.23092794,0.21873511,0.20665228,0.19883758,0.19375044,0.18796581,0.18137638,0.17685866,0.17846803,0.19043738,0.22366945,0.291479,0.39884725,0.5234584,0.62445116,0.662694,0.6294759,0.54517686,0.44583002,0.35987052,0.30012795,0.26443687,0.24451387,0.23283772,0.22545211,0.22128403,0.22017688,0.2217177,0.2244786,0.22640817,0.22652507,0.22634001,0.22989888,0.24022782,0.2566769,0.27323028,0.28229836,0.27830708,0.2616265,0.2379387,0.21606517,0.20441818,0.20867527,0.22926615,0.25968292,0.28708133,0.2984673,0.28776005,0.25845352,0.21934217,0.17860843,0.14161055,0.111224554,0.0889407,0.07473731,0.06756938,0.06605036,0.06911108,0.07649135,0.08903245,0.10728405,0.12952411,0.15048684,0.16517852,0.17293769,0.17860238,0.18691663,0.19703542,0.201703,0.19326438,0.17028952,0.14000499,0.113194935,0.100705795,0.11239182,0.16298132,0.26129165,0.39973453,0.53888553,0.6310358,0.641899,0.5787401,0.4750764,0.37352514,0.29836074,0.25395492,0.22990757,0.21598656,0.20795959,0.20728232,0.21487497,0.22787845,0.23940702,0.24298356,0.235925,0.22146247,0.20543586,0.19299038,0.18553919,0.18201281,0.18039747,0.17966615,0.1796519,0.18060978,0.18217407,0.18455672,0.18981309,0.20373869,0.23007019,0.265681,0.29578587,0.30507278,0.2869992,0.25202522,0.21773948,0.19856606,0.19716309,0.20747025,0.22211404,0.23694028,0.25063002,0.25956085,0.25830296,0.2441337,0.22283517,0.20557451,0.20036738,0.2056099,0.21421468,0.22121853,0.22725387,0.23318718,0.23567991,0.22914952,0.21282238,0.19403273,0.18294384,0.18459009,0.19517706,0.20724387,0.21571457,0.22055489,0.22257347,0.22124833,0.21486066,0.20491636,0.19543292,0.19029862,0.18777321,0.18296282,0.17248106,0.1610436,0.1571112,0.16558456,0.18040238,0.19052811,0.18949242,0.18198447,0.17702098,0.17880403,0.18397833,0.18846141,0.19289534,0.19989984,0.2077912,0.20995213,0.20191939,0.18787895,0.17824642,0.18089472,0.19423239,0.2103038,0.2218215,0.22537601,0.21940456,0.20233075,0.17792886,0.15598434,0.14851105,0.15836012,0.17842217,0.19730236,0.20921229,0.21521729,0.21915723,0.22222783,0.22260922,0.21807605,0.20921473,0.19910276,0.19114201,0.18615027,0.18211234,0.17592429,0.16620336,0.1544243,0.14354426,0.1354243,0.12940443,0.12379552,0.118350245,0.11521975,0.11959475,0.13947822,0.18793571,0.27454138,0.39643133,0.52551514,0.6207238,0.64657074,0.5984538,0.50219154,0.39905939,0.32076332,0.2771813,0.25997233,0.25537005,0.25433636,0.2533793,0.25182378,0.24941361,0.24702686,0.24549626,0.24530338,0.24584441,0.2485029,0.25641456,0.2723654,0.29432082,0.3155934,0.32945627,0.33321318,0.32897028,0.3194065,0.30713406,0.29419258,0.28533247,0.28340518,0.2877487,0.2906406,0.28576204,0.27188608,0.2557645,0.2440865,0.2395102,0.2384293,0.23458403,0.22197004,0.19876756,0.1687101,0.13948666,0.117691,0.10503546,0.09856367,0.09369277,0.08796068,0.08494303,0.096435696,0.14143199,0.231516,0.358133,0.48415792,0.5671599,0.5812664,0.53711134,0.46490088,0.39798012,0.3552777,0.34735462,0.37911904,0.44870368,0.53822654,0.61368126,0.64122796,0.6068194,0.5257669,0.4297907,0.34827295,0.29382488,0.2641382,0.25007364,0.24447644,0.24345945,0.24524929,0.24765569,0.24907719,0.24862963,0.24697454,0.24505882,0.24450815,0.24737649,0.2559333,0.27063307,0.2886779,0.30473593,0.31389377,0.31462452,0.30898246,0.3004007,0.2917706,0.2849883,0.28272936,0.2855141,0.2905632,0.2894471,0.27717677,0.25546935,0.2344691,0.22103752,0.21421552,0.20537256,0.18821222,0.16359614,0.13847604,0.118666,0.10471477,0.09292097,0.08054001,0.068454385,0.059766963,0.05584468,0.05583704,0.059957903,0.0732309,0.10210665,0.14629531,0.19298017,0.22365062,0.22799975,0.21281843,0.1956851,0.19251896,0.21086834,0.25500622,0.32710302,0.42246714,0.51949567,0.5864219,0.5966758,0.5469664,0.457415,0.35988083,0.2809619,0.23324151,0.21668689,0.22462337,0.24780475,0.2743633,0.2914529,0.290799,0.2739962,0.2523493,0.23837782,0.23779064,0.24586736,0.25353464,0.25445083,0.2497145,0.24497963,0.24510567,0.24970661,0.25367343,0.2511892,0.24059407,0.22662283,0.21891417,0.22606808,0.24871236,0.2766937,0.29436862,0.2908167,0.26627323,0.23140047,0.19967592,0.17980371,0.17146313,0.16769075,0.16163729,0.1517747,0.14264846,0.14071497,0.15017293,0.16965209,0.1916653,0.20539813,0.20180672,0.17926933,0.14514513,0.11357335,0.09840187,0.10643873,0.13400692,0.17037283,0.20424294,0.22879393,0.24214788,0.24574558,0.24248779,0.23620927,0.22970401,0.22357559,0.21482353,0.19971341,0.17707904,0.15178941,0.1328345,0.12751828,0.13583104,0.15040198,0.16321366,0.17178889,0.1793235,0.18811971,0.19520952,0.19489783,0.18718092,0.18035583,0.18517226,0.20342784,0.22517575,0.23654105,0.23164642,0.21664047,0.20271571,0.19681108,0.19653873,0.19385032,0.18121724,0.15902153,0.13699071,0.13123842,0.15191047,0.19498275,0.24021454,0.26655266,0.2647162,0.24326271,0.21702045,0.19655466,0.18565886,0.1887954,0.21914144,0.28812316,0.39258024,0.50058466,0.57198405,0.57851315,0.52670133,0.44352898,0.3618194,0.3024796,0.278328,0.29731318,0.36023155,0.45262456,0.5411628,0.59011316,0.57953644,0.51795346,0.43156174,0.34968257,0.29352114,0.2772102,0.30947948,0.38785887,0.49117827,0.5798983,0.61576265,0.5827524,0.49811947,0.39792907,0.31588742,0.26612285,0.24501915,0.24186037,0.24900548,0.2634199,0.28179243,0.29834867,0.3059359,0.30253837,0.29236165,0.2835789,0.2803003,0.2806945,0.27995256,0.27661553,0.27329057,0.27284113,0.27480078,0.27632368,0.27531922,0.2723097,0.26969728,0.2704668,0.27646625,0.2854878,0.2909883,0.2847719,0.26495716,0.23733145,0.21284084,0.19841377,0.19457917,0.19561599,0.19579287,0.19311243,0.19098182,0.19410236,0.20285422,0.21196122,0.21459246,0.20892338,0.19893844,0.19210537,0.19707714,0.22456448,0.28362015,0.37249422,0.47025037,0.543792,0.5658899,0.5328639,0.464689,0.3914671,0.33795932,0.3165851,0.3323541,0.38381758,0.46217164,0.543649,0.59748226,0.5994811,0.547952,0.4622635,0.37050724,0.29479176,0.24435937,0.21746682,0.20666374,0.20414098,0.20433591,0.20462644,0.20453106,0.20446096,0.2047271,0.2052412,0.20578164,0.20613883,0.20601575,0.2050599,0.20320678,0.20100482,0.19927049,0.19831079,0.19765963,0.19634956,0.19471432,0.19523911,0.20303005,0.22104184,0.24617457,0.26728868,0.2727668,0.25790864,0.22820301,0.1940326,0.1639011,0.14146574,0.12555982,0.11414033,0.10682091,0.10733509,0.120069824,0.14572674,0.1778965,0.20576315,0.22005785,0.21797508,0.20438851,0.18816805,0.1784306,0.18014205,0.19354695,0.213699,0.23402643,0.24885644,0.2562888,0.2569451,0.25239226,0.24679331,0.2500006,0.27978763,0.3477261,0.44707027,0.5429334,0.5960428,0.58360773,0.51875424,0.43279848,0.35723403,0.3051388,0.27570516,0.26131475,0.2555152,0.25336042,0.2511236,0.2463667,0.23918283,0.23185563,0.22721511,0.2264689,0.22874792,0.23221277,0.23577078,0.23944028,0.24319267,0.24575989,0.2450632,0.24003471,0.23213726,0.22435813,0.22023012,0.22221245,0.23306572,0.25170913,0.2726664,0.2841404,0.27862826,0.25683156,0.23007482,0.20948394,0.2008452,0.20187612,0.2069286,0.21074156,0.21115649,0.20948417,0.20841025,0.2097208,0.21252845,0.21465236,0.21448778,0.21275662,0.21117346,0.2107351,0.21043567,0.20899059,0.20638724,0.20444192,0.20443086,0.20572735,0.20592155,0.20370258,0.19995399,0.1971791,0.19720435,0.20092182,0.20885892,0.22127534,0.23697565,0.25298837,0.26651976,0.27676156,0.28468052,0.2905794,0.2931405,0.29056832,0.2831272,0.27338782,0.2648184,0.2592585,0.25676098,0.25657633,0.25856125,0.2628009,0.2684897,0.27387682,0.27727792,0.2784349,0.2781653,0.2772692,0.2757046,0.27293837,0.26905933,0.26491293,0.26181963,0.26139474,0.26597846,0.27816942,0.2968795,0.31573477,0.32433906,0.3172879,0.29720113,0.27390847,0.2549871,0.24185085,0.22951674,0.21316703,0.19357376,0.17813899,0.17529418,0.18689568,0.206366,0.22401857,0.23418795,0.2365806,0.23326384,0.22488154,0.21246211,0.19847317,0.18814373,0.18454164,0.1875381,0.19324617,0.19813932,0.19985263,0.19685756,0.1910034,0.19095661,0.21666308,0.28581896,0.4002227,0.53010154,0.631284,0.6655185,0.6274999,0.5398266,0.44074345,0.35970914,0.30975637,0.28690276,0.2810592,0.2827216,0.28636542,0.28896233,0.289152,0.287246,0.28474405,0.28321084,0.28291377,0.28284916,0.28180304,0.27903342,0.2750497,0.27081373,0.26779056,0.2664033,0.26638308,0.2663721,0.26637495,0.26812387,0.27524808,0.28777114,0.29949856,0.29852682,0.27742982,0.23973018,0.19947965,0.17004524,0.15583847,0.15168782,0.15020335,0.14818877,0.1479582,0.15347975,0.16579318,0.1813255,0.19463225,0.20258749,0.20628248,0.20896791,0.21540207,0.23262608,0.27260005,0.3421578,0.43395028,0.518395,0.5633876,0.5510724,0.49367583,0.41824725,0.35341892,0.31517366,0.31171355,0.34654927,0.4169341,0.5060105,0.5807983,0.60776335,0.5723607,0.48945257,0.3917241,0.30927265,0.25601295,0.2295645,0.22135408,0.22382407,0.23271126,0.24419892,0.2538384,0.25840855,0.2576495,0.2539428,0.24917388,0.24394202,0.23844445,0.23462914,0.2350778,0.24078381,0.2490319,0.2552286,0.25559548,0.25000674,0.24091743,0.2328671,0.23024677,0.23726106,0.25255743,0.26894596,0.27427623,0.2628533,0.23821698,0.21180822,0.19205286,0.18132621,0.17706217,0.17636578,0.17764777,0.18008208,0.1833257,0.18632083,0.18753867,0.18519306,0.1791606,0.17105383,0.16338418,0.15774202,0.15431185,0.15256119,0.15182059,0.15164511,0.15125448,0.15016626,0.14850031,0.1476383,0.14909828,0.15562028,0.17295332,0.2127264,0.28559795,0.3892866,0.4977835,0.5706689,0.5765943,0.51490736,0.41511345,0.3162682,0.24484591,0.20619623,0.19148666,0.18894903,0.19066443,0.19327612,0.19578958,0.19797538,0.19961609,0.2005239,0.20062317,0.19997199,0.19872606,0.19698732,0.19491427,0.1925707,0.1902142,0.18802409,0.18630259,0.18485798,0.18346828,0.18236034,0.18393047,0.19225655,0.20990853,0.23227923,0.24693243,0.24029773,0.20856905,0.1607186,0.11217288,0.07394176,0.048913896,0.035022754,0.031346083,0.0396489,0.060199317,0.08661369,0.105939895,0.107311524,0.09064623,0.06729059,0.050882827,0.048138183,0.057051044,0.07163984,0.086635344,0.09889533,0.10627207,0.10738065,0.1015782,0.08963253,0.07363885,0.057827722,0.05155982,0.07032436,0.13354026,0.24869592,0.39986038,0.5429619,0.63069874,0.63612413,0.56941783,0.4629854,0.35267624,0.26421168,0.21651512,0.22689195,0.30241856,0.4275478,0.55672055,0.6375192,0.63710475,0.56403387,0.45527115,0.35538593,0.29429355,0.28559378,0.32952234,0.41513696,0.5180463,0.60307115,0.6388981,0.61239606,0.5352692,0.43335417,0.33351108,0.25382885,0.20471908,0.18972552,0.20442669,0.23387025,0.25967613,0.27024496,0.26737395,0.25943506,0.252952,0.250293,0.25636384,0.28314507,0.3424232,0.43251562,0.53014344,0.60074925,0.6172611,0.5756294,0.49411583,0.40201032,0.32685038,0.28836992,0.29893288,0.35979494,0.4558971,0.5522592,0.60997057,0.6061761,0.54822916,0.46421206,0.38548982,0.33380747,0.32024956,0.34884068,0.41424513,0.49786988,0.5689762,0.59873027,0.5747103,0.5075235,0.42121735,0.34124038,0.28268987,0.24949767,0.23604341,0.23440637,0.23736905,0.240856,0.24262358,0.2423064,0.24079531,0.23981701,0.24074464,0.24388964,0.24859309,0.25352764,0.25741348,0.25899765,0.25798666,0.25471672,0.25069425,0.24716036,0.24499752,0.24469799,0.24754131,0.25578713,0.26892617,0.28225648,0.28688383,0.27825582,0.2584384,0.23609626,0.21796302,0.20680429,0.20124811,0.19975357,0.20117615,0.20478405,0.20949322,0.21386577,0.2164758,0.21626715,0.21316332,0.20763488,0.20197485,0.20194103,0.21868283,0.2631552,0.3364501,0.42200223,0.49164534,0.5207147,0.50200206,0.4470198,0.3778087,0.31655467,0.2806426,0.2821627,0.3257248,0.40394172,0.49284086,0.55997187,0.5784716,0.5425585,0.46771955,0.38164246,0.30883065,0.26166922,0.23916735,0.23282234,0.23357539,0.2349068,0.23362283,0.22839575,0.21984182,0.20907702,0.19772327,0.18706833,0.17874736,0.1740544,0.17347027,0.175569,0.17743063,0.176265,0.17163007,0.1665103,0.16541217,0.17170693,0.18582237,0.20648985,0.23141213,0.25612566,0.27326778,0.2755308,0.26176056,0.23792122,0.21259218,0.19015019,0.17044413,0.15224914,0.13648812,0.12512185,0.11907088,0.117276154,0.117834084,0.11882117,0.119338214,0.11946698,0.12005324,0.12106949,0.120889045,0.117337964,0.1100448,0.10175728,0.096242644,0.095297,0.09674875,0.09646782,0.09142531,0.08196672,0.07430152,0.08157122,0.12511796,0.21942663,0.35836697,0.50211006,0.6004395,0.6169711,0.5542417,0.442142,0.32147592,0.2220291,0.15720211,0.12473171,0.11470812,0.11703243,0.124999166,0.13509631,0.14435136,0.15019834,0.15085803,0.14691956,0.14055534,0.13440977,0.12996753,0.12744717,0.12651575,0.12700029,0.12890713,0.13182408,0.13503553,0.1381043,0.14240365,0.15107603,0.16816944,0.19331376,0.21915092,0.23160298,0.22033489,0.18572152,0.14027803,0.0983181,0.06819348,0.049938384,0.040319797,0.036948185,0.03941771,0.047469657,0.059211243,0.07095077,0.07867259,0.08000911,0.07515565,0.06639429,0.056776475,0.04885079,0.04445846,0.044544708,0.04957518,0.058723435,0.07029244,0.08148881,0.089734085,0.09279125,0.08980277,0.08222264,0.075031064,0.07597172,0.090477794,0.11702162,0.14580522,0.16611081,0.17276119,0.1689692,0.16107793,0.15374917,0.1478067,0.14225774,0.13706319,0.13400869,0.1352356,0.14086749,0.14831473,0.15441155,0.15713452,0.15615685,0.15096276,0.14098287,0.1267931,0.11218637,0.10324844,0.10481706,0.116917014,0.13420881,0.14948106,0.15724559,0.15647255,0.15117829,0.1510814,0.16648316,0.20030808,0.24068713,0.26795533,0.26868978,0.2464986,0.21609385,0.18992884,0.17128505,0.16037403,0.16453308,0.19919777,0.2732058,0.3755344,0.4722363,0.52886087,0.5275604,0.4787759,0.40641013,0.33780828,0.29191574,0.28171828,0.31173083,0.37635636,0.45627132,0.5230811,0.55173904,0.5319525,0.47216597,0.3927621,0.31793186,0.26897848,0.26165876,0.30112198,0.37817633,0.46766376,0.5395474,0.57033104,0.55493337,0.5030871,0.43511477,0.37010232,0.32156944,0.29222563,0.27853635,0.27448902,0.2762245,0.28091964,0.28629074,0.29036,0.29265842,0.29344693,0.29285946,0.29107162,0.28948236,0.29056385,0.29514644,0.3011342,0.30432126,0.30216217,0.2944356,0.28335333,0.2715052,0.26297656,0.2620112,0.27130303,0.28781775,0.30278054,0.30621424,0.2932817,0.2671788,0.23509435,0.20378669,0.17650342,0.15499212,0.13997427,0.13200589,0.13056351,0.1345041,0.14187206,0.15024711,0.15777107,0.16422045,0.17074817,0.17827237,0.18630134,0.19412458,0.2024367,0.21383087,0.23049442,0.2514082,0.27222717,0.28716943,0.2923315,0.28576317,0.27046162,0.25690064,0.26575792,0.31542706,0.4061501,0.508444,0.578878,0.5854805,0.52827525,0.4350647,0.3415933,0.27284595,0.23475236,0.22095887,0.221236,0.22873122,0.23902369,0.24829686,0.25247678,0.24950583,0.2410676,0.2317095,0.22573245,0.22455247,0.22661096,0.22934999,0.23126487,0.2325092,0.23407315,0.23674744,0.24044739,0.24430875,0.24793883,0.2529216,0.26305795,0.2802032,0.2995404,0.30957997,0.30008078,0.27052268,0.2297017,0.18857759,0.15340467,0.12722023,0.112710364,0.11318501,0.1288398,0.15445885,0.18059169,0.19826673,0.203502,0.19781633,0.1854168,0.1700027,0.15457152,0.14249362,0.13789266,0.14377928,0.1598481,0.18138832,0.2014112,0.21433389,0.21892513,0.21687807,0.21131617,0.20693822,0.21491356,0.24979782,0.3198453,0.4125779,0.4974657,0.5420372,0.5331369,0.48154286,0.4124657,0.34920982,0.30428004,0.27868733,0.2677726,0.26597026,0.26803795,0.26886782,0.26427686,0.2539083,0.24069457,0.22870289,0.22055036,0.21807252,0.22320819,0.23627317,0.25410447,0.26995018,0.27859968,0.2793614,0.2763429,0.2735639,0.27273583,0.27362213,0.27666607,0.28265065,0.28933397,0.2901516,0.2773092,0.24937497,0.2131281,0.1797921,0.15664357,0.14460205,0.140431,0.1413578,0.14611167,0.15375686,0.16209817,0.16824873,0.16981308,0.16678955,0.16084255,0.15424065,0.14707227,0.13803189,0.12572336,0.11085818,0.09509521,0.07958338,0.06448052,0.050098985,0.0376358,0.028293185,0.022403823,0.01965321,0.020399598,0.02645433,0.03973678,0.060126286,0.08366418,0.104100354,0.1155247,0.11586547,0.10779452,0.09816644,0.09460654,0.102297336,0.12181079,0.1494903,0.17802078,0.19790263,0.20046203,0.18291773,0.1508461,0.115304194,0.08604554,0.0675439,0.060532723,0.06656656,0.08669979,0.116677165,0.14347088,0.15445185,0.1471693,0.13166486,0.11860418,0.1117251,0.11086065,0.12111614,0.14941883,0.19324712,0.23425984,0.2521572,0.24119945,0.21500725,0.19189744,0.17990476,0.17592907,0.17703493,0.19234712,0.2363779,0.31409302,0.40545037,0.47482753,0.491407,0.45133266,0.37727317,0.30351463,0.25684187,0.2484827,0.27890494,0.3413259,0.42334905,0.5007757,0.5462826,0.5392369,0.4817038,0.39388356,0.30447736,0.23641966,0.20504816,0.22100858,0.28546768,0.38429013,0.48436022,0.5524975,0.5697749,0.5408263,0.48237026,0.41542777,0.3562386,0.31473687,0.29196665,0.28402707,0.28517142,0.29083928,0.29703668,0.30093268,0.30225563,0.30314127,0.30651963,0.31359044,0.32411382,0.3368207,0.34951663,0.35841927,0.3594472,0.35069275,0.33416733,0.31451157,0.29675376,0.2849113,0.28199527,0.2902553,0.30835018,0.32978368,0.34267426,0.33693257,0.31030178,0.27100283,0.23148812,0.20021403,0.1780928,0.16160285,0.14937995,0.14216097,0.13948058,0.13657774,0.13103442,0.12775618,0.13718803,0.16328444,0.19783469,0.22502784,0.23387478,0.22554176,0.21098536,0.20174538,0.20005958,0.1995303,0.1934411,0.18377273,0.17769933,0.1792441,0.18879183,0.2113931,0.26009992,0.34230962,0.44520053,0.53529924,0.5789416,0.5614256,0.4945238,0.40542555,0.32221094,0.2610218,0.2244914,0.20630193,0.19876377,0.19671924,0.19797844,0.20191656,0.20780571,0.21399035,0.21821062,0.21954203,0.21997021,0.2241569,0.23594129,0.25518894,0.27628958,0.29178905,0.2958577,0.28791404,0.2715774,0.25348958,0.24020845,0.23679893,0.24477033,0.26020908,0.2737439,0.27393556,0.25493002,0.2199205,0.17891456,0.1410428,0.110626735,0.0883502,0.07424561,0.06879627,0.07058606,0.07563179,0.07912416,0.080049336,0.08340392,0.09594206,0.11969826,0.14795811,0.17210375,0.18838088,0.20106374,0.21382807,0.22412862,0.22264594,0.20316578,0.1680455,0.1285597,0.09548994,0.07673338,0.07833564,0.11366767,0.19400573,0.3177079,0.45400214,0.5602216,0.60091215,0.5727983,0.4976997,0.4099591,0.33513108,0.28389934,0.2536917,0.23809116,0.23334897,0.23880382,0.2538391,0.27475843,0.295405,0.30893096,0.31098175,0.30119696,0.28359464,0.26428774,0.24858181,0.23900528,0.23528445,0.23562227,0.2375912,0.23892866,0.23845828,0.23764986,0.24066663,0.2521374,0.27198836,0.2926989,0.30154344,0.28937247,0.2578089,0.21947187,0.18924047,0.174901,0.17407231,0.18014972,0.18930687,0.2017569,0.2162662,0.22607826,0.22381516,0.20918177,0.19187546,0.18221082,0.1827221,0.18709803,0.18910708,0.18819861,0.18726556,0.18659447,0.18235588,0.17207237,0.15909743,0.15191995,0.15643126,0.17159574,0.19204837,0.21766168,0.25743175,0.32059678,0.40308225,0.4813265,0.5257221,0.51750004,0.4607241,0.37597895,0.2896343,0.22406633,0.19602412,0.2151854,0.2781081,0.36399806,0.43892768,0.4739741,0.45880887,0.40540794,0.33572447,0.271306,0.22804946,0.2186567,0.2499239,0.31582823,0.39233866,0.4477719,0.45983782,0.42852175,0.3705772,0.30685803,0.25127563,0.2103085,0.18691808,0.1806736,0.18628208,0.19204791,0.18987767,0.17995137,0.1718608,0.17216201,0.18053137,0.19266385,0.2099518,0.24260108,0.29835734,0.37248114,0.44068933,0.47689363,0.46616182,0.41782323,0.35280213,0.294157,0.25618318,0.24796462,0.27464,0.33335125,0.40773776,0.46794215,0.48764896,0.45665368,0.38695547,0.30073527,0.22170977,0.16972645,0.1616227,0.20739876,0.30189788,0.42002153,0.5230825,0.5768311,0.56773436,0.50772834,0.4251505,0.34876952,0.29623032,0.2696068,0.26209912,0.26481268,0.27259445,0.28232303,0.2913231,0.2966719,0.2970717,0.2937747,0.28916684,0.28584576,0.28623697,0.292917,0.3063015,0.3232762,0.33814418,0.3469895,0.34941646,0.34723315,0.3408271,0.32982656,0.31553277,0.30317903,0.29784808,0.30036893,0.30552045,0.30780303,0.30501512,0.29985246,0.29552343,0.2943901,0.2965107,0.3007762,0.30492055,0.3068386,0.3054651,0.30080953,0.29314002,0.28228343,0.2684857,0.25234023,0.23751664,0.23105729,0.24580908,0.29048458,0.3617656,0.43756858,0.49028882,0.50273997,0.4771365,0.43059906,0.3815401,0.34518373,0.32940784,0.34050986,0.37853554,0.43690085,0.4971142,0.53713846,0.53959984,0.5022986,0.43711802,0.3639616,0.30027762,0.2546828,0.22676371,0.2116689,0.20473583,0.2027194,0.20334585,0.20513733,0.2076959,0.21141596,0.2164697,0.22240083,0.22896655,0.23752946,0.25131774,0.2726916,0.2998002,0.32542172,0.34117976,0.34297466,0.33298862,0.31688204,0.29957458,0.28517166,0.27680358,0.27644542,0.28130075,0.28580448,0.285145,0.27991605,0.27362514,0.26919734,0.26647857,0.26437402,0.2626663,0.2621082,0.26285627,0.2637742,0.26364258,0.26220992,0.26047528,0.25907716,0.25829124,0.2582073,0.26029658,0.266379,0.2773944,0.29089928,0.30175728,0.30496395,0.30031464,0.2927536,0.2883499,0.28909156,0.29401293,0.3042206,0.3266484,0.36731693,0.42390767,0.47994313,0.51362157,0.5065682,0.45592782,0.37469146,0.2880465,0.22081707,0.18841301,0.19217068,0.22218037,0.26090214,0.2897049,0.2964126,0.28262866,0.26279145,0.25299922,0.2597115,0.2747067,0.2853289,0.2839135,0.2751083,0.26812336,0.26969132,0.27710858,0.28231183,0.27751592,0.26119164,0.23946793,0.22333063,0.22494291,0.24877219,0.28833652,0.3246303,0.34032252,0.32865524,0.30036068,0.2714996,0.25378898,0.24691917,0.2442413,0.23956703,0.2321229,0.22573948,0.22552055,0.23432092,0.25039074,0.26684633,0.27524632,0.26990184,0.25263503,0.2317198,0.2186941,0.22076781,0.23720713,0.25967583,0.27924177,0.29136088,0.29605988,0.29436526,0.28662655,0.2748467,0.26354,0.25757647,0.25741684,0.2582316,0.25389066,0.24271727,0.22988713,0.22310579,0.22588556,0.23374522,0.2381987,0.23476225,0.22746943,0.2249924,0.23187767,0.24378015,0.2519122,0.25176185,0.24766581,0.24721791,0.253383,0.260646,0.26183364,0.2547186,0.24547172,0.2416798,0.24659507,0.25522867,0.25954354,0.25387368,0.23969883,0.22498028,0.22067426,0.23527837,0.26813748,0.3077918,0.33649802,0.34264243,0.32724556,0.30273673,0.28225932,0.27411628,0.2809014,0.30391553,0.34307215,0.3948414,0.4500908,0.49526635,0.5163848,0.50296557,0.45419124,0.38143596,0.30746397,0.25698286,0.24863857,0.28646937,0.35942313,0.4420228,0.5056309,0.52788335,0.5025047,0.43840253,0.35600838,0.2805021,0.23438759,0.23335274,0.27834347,0.3573676,0.4435749,0.5098762,0.5351918,0.516468,0.4647175,0.39975783,0.340654,0.29903534,0.28049955,0.28348842,0.30208555,0.32416734,0.33790314,0.33808494,0.32965112,0.32246616,0.32131138,0.322971,0.32016894,0.31067595,0.2995248,0.29451963,0.2995906,0.31169626,0.32490227,0.3339001,0.33724856,0.33576015,0.3323159,0.3308141,0.33404183,0.3410181,0.345489,0.34155452,0.32812333,0.31135872,0.29881358,0.29451597,0.29641387,0.2993143,0.29965958,0.2984484,0.30017564,0.30737677,0.31755945,0.32441428,0.32397306,0.3169233,0.30771163,0.30147865,0.3042784,0.324441,0.3671449,0.429626,0.49385142,0.5378475,0.54327536,0.5116472,0.4580321,0.40630007,0.3728231,0.3652922,0.38314083,0.42185804,0.47170925,0.5164523,0.53888756,0.5289129,0.4893372,0.43348154,0.3773227,0.3327969,0.30335256,0.2872639,0.28051218,0.28101563,0.28638366,0.29347977,0.29717982,0.29417077,0.28427303,0.27136037,0.25969863,0.25214908,0.24902673,0.24990691,0.25392365,0.25956094,0.2640425,0.26439324,0.25920513,0.2495538,0.23946647,0.2350065,0.24337967,0.26708618,0.30116406,0.33177122,0.3466141,0.34031045,0.31874344,0.2909446,0.26537547,0.24550365,0.23215675,0.22478086,0.22377272,0.23005335,0.2431324,0.2594036,0.27331185,0.28067586,0.2812859,0.27809215,0.27475023,0.27338114,0.27510643,0.2807463,0.2909389,0.30457255,0.31890908,0.33097503,0.33942124,0.34397164,0.3456258,0.34746227,0.35699317,0.38199797,0.42497835,0.47701713,0.5221558,0.5442901,0.5359294,0.5004473,0.45044217,0.40122798,0.36358985,0.34022808,0.32767522,0.3208982,0.31647334,0.31294057,0.3105956,0.31042394,0.313458,0.31922472,0.32611275,0.33219,0.3368431,0.34031105,0.34250966,0.34240243,0.33898532,0.33286163,0.32592,0.3200047,0.31562266,0.31290343,0.31304345,0.3183178,0.32870027,0.3398111,0.34392667,0.33662632,0.31978527,0.30135944,0.28893146,0.28630626,0.29158923,0.2997726,0.30583206,0.30788496,0.30781624,0.30845332,0.3107932,0.31306908,0.31364462,0.31286082,0.312512,0.31307027,0.31282124,0.30991924,0.3046346,0.2993472,0.29604772,0.29503706,0.29544482,0.29679582,0.29893562,0.30306545,0.3125266,0.33513674,0.37615526,0.4340416,0.4939141,0.5383614,0.5524375,0.53375393,0.48895797,0.43381926,0.38687953,0.3641708,0.3740492,0.4129478,0.4678723,0.5190494,0.5491234,0.54756445,0.5147645,0.46046662,0.40098867,0.3547875,0.33639765,0.35248896,0.39823747,0.45954326,0.5162368,0.54979795,0.54788935,0.51034963,0.44932285,0.38618025,0.3410655,0.3237308,0.32973358,0.34471717,0.35333288,0.34726405,0.32854316,0.3052815,0.28450337,0.2665995,0.24950607,0.23542987,0.23855935,0.27413002,0.34713054,0.43698445,0.51225954,0.5442286,0.5275938,0.47432864,0.40674484,0.3448174,0.30354992,0.29488838,0.32353318,0.3857049,0.46034536,0.5208815,0.5418659,0.5164212,0.45270193,0.37086812,0.28943717,0.22087808,0.17132814,0.14299549,0.13560553,0.14365827,0.15993334,0.17799933,0.1961592,0.21326543,0.22638023,0.22966407,0.21954705,0.19833915,0.17485206,0.15860106,0.1538794,0.15721898,0.161988,0.16370453,0.1627232,0.1613727,0.16126694,0.1620893,0.16291781,0.16278799,0.1609595,0.15686108,0.15064569,0.14306289,0.13501282,0.12658669,0.11755074,0.10808747,0.10049722,0.098076314,0.10303017,0.1126632,0.120180935,0.11814797,0.104168154,0.08196209,0.058737677,0.040461745,0.029816201,0.02698572,0.031521734,0.042422548,0.05721118,0.07153573,0.08142746,0.08550767,0.08565578,0.0847097,0.08431966,0.08439829,0.084517844,0.085013635,0.08671644,0.08967053,0.09274661,0.09446911,0.09446299,0.09347472,0.0923492,0.09091086,0.088384755,0.08471438,0.08121959,0.07962332,0.08043358,0.08243231,0.083990395,0.084403254,0.084279306,0.084324025,0.08480626,0.085531615,0.08671623,0.08889905,0.092606574,0.0976911,0.10332356,0.10833789,0.111792654,0.11374658,0.11519905,0.11754287,0.12112848,0.12514931,0.1283412,0.13013007,0.13061987,0.12992401,0.12791705,0.12447804,0.11988387,0.11494123,0.1109655,0.10984701,0.112940826,0.120277606,0.12949024,0.1373612,0.14104618,0.14004235,0.13568793,0.13055235,0.12663798,0.12475547,0.12413255,0.123776816,0.12301085,0.12243911,0.12260625,0.124201395,0.1268518,0.12988858,0.13166173,0.13103287,0.12791465,0.12390125,0.12048304,0.117763616,0.11427263,0.108872324,0.1018517,0.09485038,0.08932064,0.08600121,0.0850254,0.08651901,0.09042707,0.095945366,0.101467125,0.105095156,0.10583819,0.10402035,0.10108402,0.09839997,0.0966055,0.09546385,0.094595045,0.09368142,0.09256356,0.09099335,0.08912983,0.08768362,0.087699376,0.08954803,0.09237557,0.09453892,0.09476913,0.09323611,0.09122696,0.09012094,0.090073705,0.09025147,0.08969393,0.08843175,0.08715659,0.086539485,0.08684204,0.08854428,0.09251558,0.09877608,0.105111696,0.10759345,0.103793055,0.09498825,0.08539044,0.07841193,0.074801125,0.073298715,0.073019,0.07362803,0.07458091,0.07448097,0.07253306,0.06944389,0.066760845,0.06479023,0.061966732,0.056257505,0.047285307,0.036890488,0.028141426,0.023551583,0.024042087,0.02853208,0.03459867,0.03937036,0.040692266,0.03829622,0.034916844,0.03675588,0.050977442,0.08135855,0.12385901,0.16746551,0.1991778,0.21083033,0.20222813,0.17989194,0.15243511,0.12665196,0.10633486,0.09430659,0.09288926,0.10218463,0.11706591,0.12947041,0.13440733,0.1346897,0.1379749,0.1489789,0.16491169,0.17843926,0.18427551,0.18231583,0.17550169,0.1665382,0.1568308,0.14782348,0.14127077,0.13826574,0.13791622,0.13916165,0.14377184,0.15652908,0.18053703,0.21150039,0.23936455,0.2548479,0.25631997,0.24850814,0.23786251,0.22812681,0.21993458,0.21209641,0.20290422,0.19139141,0.17824905,0.16588856,0.15712394,0.15301387,0.15218575,0.15202492,0.1514063,0.15178622,0.15598705,0.16505973,0.17686898,0.18694992,0.19174773,0.19037998,0.18485385,0.17805846,0.17245324,0.16941164,0.16941482,0.17211877,0.17650934,0.18152095,0.18662113,0.19163103,0.19600023,0.19831032,0.19704033,0.19159704,0.183165,0.17386241,0.16552442,0.15836294,0.15159906,0.14444453,0.13698278,0.12971345,0.122942366,0.116858125,0.11158352,0.107366495,0.10398099,0.10094751,0.09766365,0.09406371,0.09049323,0.08755972,0.08553805,0.08438463,0.08364215,0.083200015,0.083476506,0.08595657,0.0914477,0.099190146,0.10563662,0.10734883,0.102764554,0.09411771,0.08505725,0.07881171,0.076237015,0.07648366,0.0781164,0.080174506,0.0822106,0.0837828,0.08440215,0.0839743,0.08306856,0.082681365,0.08330035,0.084717095,0.086124666,0.08714407,0.08791447,0.08887362,0.090054505,0.091234446,0.09239579,0.093780674,0.09538577,0.096440695,0.09585777,0.09324485,0.08973203,0.08754801,0.08845189,0.09236098,0.09738318,0.10136626,0.103220195,0.10321796,0.10230518,0.10142488,0.101063035,0.100914426,0.10013006,0.09794223,0.09444045,0.0904184,0.08665345,0.083405234,0.080543585,0.078149624,0.07650444,0.0758907,0.07607923,0.07651794,0.07661363,0.07621134,0.07558455,0.07522401,0.07547643,0.07647356,0.0784083,0.08217632,0.08914846,0.100054555,0.11299169,0.12364396,0.12746114,0.12309453,0.112991236,0.101444535,0.09160328,0.08446368,0.079640575,0.07663551,0.07528474,0.07555095,0.077015005,0.078771316,0.079699874,0.07912808,0.07717288,0.074732214,0.07320112,0.07409703,0.078428626,0.08600825,0.095518984,0.10537093,0.11485923,0.12397496,0.1328119,0.14053597,0.14612846,0.14892983,0.14989322,0.15094842,0.15422423,0.16028415,0.16802888,0.17554955,0.18176378,0.18659095,0.19020939,0.19224548,0.19220547,0.19015795,0.18696178,0.18372637,0.1812753,0.17969124,0.17829901,0.1756872,0.17063022,0.16264494,0.15252768,0.14142509,0.13017307,0.118800364,0.1071476,0.09505227,0.08256155,0.06981727,0.057677165,0.047397953,0.040562328,0.038321406,0.042021077,0.05191563,0.0663103,0.079996176,0.0869942,0.08344499,0.070607714,0.053241137,0.036906138,0.02490559,0.017769314,0.014155271,0.012387677,0.011367057,0.01062505,0.010038347,0.009530661,0.009062153,0.008610624,0.008264913,0.008232828,0.008835789,0.010281836,0.012642016,0.016398907,0.024214357,0.041291952,0.07332903,0.12000046,0.17272268,0.21791701,0.24794883,0.2646024,0.27539456,0.2840694,0.28931257,0.288577,0.2822275,0.27207264,0.258468,0.24044506,0.218282,0.19599508,0.17940867,0.17247795,0.17287545,0.17454046,0.17318998,0.17201214,0.17789686,0.19357127,0.21306948,0.22610094,0.22652878,0.21442848,0.1935734,0.16711736,0.13950737,0.11721608,0.10684051,0.10877978,0.11588184,0.118686415,0.11467654,0.11165402,0.12193298,0.15105012,0.19187254,0.22969902,0.25343576,0.26203382,0.25996947,0.2492981,0.22770722,0.19570066,0.16343637,0.14664645,0.15473567,0.18048573,0.20604716,0.21606225,0.21079005,0.20093952,0.19787024,0.20193021,0.20741993,0.20821114,0.2050129,0.20116909,0.19985692,0.20109536,0.20344485,0.204498,0.20130545,0.1920218,0.18092775,0.18134503,0.21176451,0.28072166,0.37741375,0.47229305,0.5358727,0.5514386,0.52140397,0.45993614,0.38657272,0.3192062,0.2692482,0.24004035,0.22867085,0.23055075,0.24094592,0.25475386,0.26640704,0.27210554,0.27170178,0.2679017,0.2632304,0.259196,0.2570236,0.25968754,0.26894853,0.28360626,0.2972201,0.30344906,0.29902315,0.28716996,0.2747345,0.26908457,0.2746531,0.288848,0.30300114,0.30474222,0.28899702,0.2610584,0.23449105,0.21808885,0.2094748,0.19871502,0.17998548,0.15879351,0.14697985,0.15156446,0.16880858,0.18789808,0.20102482,0.20664293,0.20812489,0.20750916,0.2052555,0.20143981,0.19811024,0.1977443,0.20096652,0.20541205,0.2067198,0.19998081,0.18214948,0.15383844,0.12337616,0.106331915,0.123613305,0.18890302,0.297719,0.4212389,0.51872677,0.5586316,0.5337321,0.46232995,0.37396762,0.29629144,0.24366204,0.21763133,0.2116095,0.21819168,0.23162276,0.2465169,0.2575977,0.26150736,0.25935984,0.25499535,0.25184882,0.25055352,0.25129172,0.25507426,0.26385263,0.27696204,0.29148957,0.30364776,0.3117052,0.31468883,0.31128624,0.30128428,0.28852153,0.28109595,0.28226456,0.28566554,0.2767534,0.24889125,0.2080404,0.16926081,0.14102426,0.12386062,0.11590079,0.12182755,0.14805745,0.19321643,0.24269229,0.2767191,0.2824863,0.25996038,0.21891145,0.17252813,0.13492148,0.11690098,0.12286904,0.14735834,0.17898963,0.20675294,0.2246917,0.23217006,0.22988458,0.2190405,0.201221,0.18358038,0.17910196,0.20618773,0.27514848,0.37924576,0.48823938,0.56562585,0.58635205,0.5510795,0.48060128,0.4019604,0.33633497,0.29172993,0.26719263,0.2567104,0.25528064,0.25754377,0.25868416,0.25550172,0.24973685,0.24676043,0.25187898,0.26573336,0.28386903,0.2990106,0.3059061,0.30410054,0.29786718,0.29200557,0.2880783,0.28395116,0.2769116,0.26775074,0.26127675,0.26406744,0.2778184,0.29573417,0.30398163,0.29218557,0.2614338,0.22379816,0.19219881,0.17295225,0.16557817,0.16734733,0.17447025,0.18134665,0.18159585,0.17327742,0.1623519,0.1587018,0.16785812,0.18533076,0.20167969,0.21021087,0.2117257,0.20980364,0.20536156,0.1947422,0.1736737,0.14221065,0.105929635,0.07309054,0.04967394,0.037507936,0.035723127,0.04346058,0.060248118,0.083754174,0.108763106,0.12841412,0.13794343,0.13603143,0.12521456,0.11057711,0.099850714,0.10079324,0.11797748,0.14917004,0.1857303,0.21665663,0.23358272,0.23581494,0.22905831,0.22235064,0.22088505,0.2250944,0.23111944,0.23597498,0.23869248,0.24044056,0.24001913,0.2329874,0.21379371,0.18266599,0.14700644,0.1170359,0.09953359,0.09778696,0.11610713,0.15644403,0.21163206,0.26039794,0.2822751,0.27137572,0.2420745,0.2132441,0.19573571,0.19090639,0.20121469,0.23662417,0.30490604,0.39903775,0.49019846,0.5449722,0.54285747,0.49064898,0.4124312,0.33740577,0.28646207,0.27256325,0.30105495,0.36780512,0.4537364,0.5265916,0.55560994,0.52777976,0.4558587,0.36733058,0.29053327,0.24352081,0.23700635,0.2742083,0.3484702,0.43776426,0.51124877,0.5445855,0.5316733,0.48627546,0.43015075,0.38259864,0.3514124,0.33493423,0.32717586,0.32443643,0.32584193,0.3308808,0.33711913,0.3418137,0.34398767,0.34517395,0.34689322,0.3492541,0.35130176,0.3528349,0.35444376,0.35592496,0.3557613,0.35208228,0.34491304,0.33580932,0.32769027,0.32352588,0.32651988,0.33766404,0.35294703,0.36325002,0.358619,0.33610138,0.3007925,0.26275232,0.22879548,0.2008033,0.17729013,0.15789044,0.14441244,0.137034,0.13309945,0.12848505,0.12652934,0.1355254,0.16323669,0.20346238,0.2415059,0.26094857,0.25833127,0.23995984,0.21803083,0.1987008,0.18213962,0.16672216,0.15662442,0.15900876,0.17424248,0.19370116,0.2099591,0.23226935,0.27905622,0.35951403,0.45285448,0.5229611,0.5399093,0.5032048,0.43388537,0.3599367,0.29901347,0.25528675,0.22453158,0.20216404,0.1875183,0.1821121,0.18564303,0.19466841,0.20361023,0.20811957,0.20723301,0.20502478,0.2087356,0.22377707,0.24879174,0.27480662,0.29121697,0.29141235,0.276216,0.2509938,0.22344537,0.2009738,0.1904967,0.19737406,0.22186519,0.25637975,0.28515613,0.29421958,0.27949336,0.250079,0.2186007,0.19290216,0.17270994,0.15438671,0.13563736,0.11771316,0.10337458,0.094375156,0.09034398,0.09182671,0.101717286,0.12203612,0.1490082,0.17285971,0.18726999,0.19330327,0.19886011,0.20655376,0.21286798,0.20906508,0.19293539,0.16955222,0.14984375,0.14051639,0.14390127,0.16308868,0.20832534,0.28785497,0.3936468,0.4946762,0.5548325,0.55338216,0.4986265,0.4162927,0.3348476,0.27062842,0.22754394,0.20194036,0.1894358,0.18855874,0.19886988,0.21867825,0.2421565,0.2617773,0.27214447,0.27281073,0.26641813,0.25472364,0.23774771,0.21611057,0.1936631,0.17638265,0.16856956,0.16990286,0.17577976,0.18137038,0.1865142,0.19657843,0.21832152,0.25056627,0.28197265,0.2952901,0.28195512,0.24805552,0.21242343,0.19185315,0.19207634,0.20601942,0.22357553,0.23899953,0.2523621,0.26328912,0.2670413,0.25794193,0.2367007,0.21266954,0.19659424,0.1916454,0.19260728,0.19306922,0.19201617,0.19187039,0.1924706,0.18962894,0.1803388,0.16870494,0.16363269,0.17070644,0.18812656,0.21228127,0.24822564,0.3065825,0.39146826,0.486076,0.5596724,0.58341384,0.5487358,0.4690161,0.3712636,0.2839484,0.22896461,0.2223397,0.26918092,0.36048815,0.46523106,0.5439928,0.5654711,0.5255646,0.44398138,0.35095063,0.27332792,0.22984982,0.23453474,0.2909287,0.38643584,0.48684922,0.5532567,0.5597894,0.50889605,0.4231566,0.33161002,0.25554553,0.20627654,0.18700062,0.19313216,0.21189803,0.22662963,0.2276839,0.21761067,0.20666088,0.2020713,0.20603998,0.22011375,0.25074732,0.3052763,0.38292325,0.4686235,0.53589803,0.560978,0.53425705,0.46772385,0.38555917,0.31506088,0.27463138,0.27497956,0.31622234,0.3888618,0.4696219,0.530008,0.5469999,0.5148129,0.44482195,0.35660478,0.27194467,0.20985673,0.19170433,0.22920235,0.318247,0.4261701,0.5117244,0.5418262,0.5135534,0.44672355,0.37264732,0.3152697,0.28383222,0.27282962,0.27059484,0.26797563,0.26246822,0.25601396,0.25146732,0.24996968,0.251424,0.25525722,0.2616148,0.27155146,0.28600785,0.30396366,0.32097507,0.33158112,0.33256137,0.32595006,0.3165208,0.30858555,0.30356994,0.30148253,0.30359527,0.31098697,0.3229278,0.33370182,0.3380704,0.33423126,0.32689783,0.32172108,0.3216522,0.32523534,0.32860574,0.32907057,0.3255997,0.3202741,0.3149284,0.31129,0.30892292,0.30732703,0.30549908,0.30266216,0.30041978,0.30472338,0.3272982,0.37542439,0.4446033,0.5125999,0.554301,0.55418783,0.517508,0.46221194,0.4098339,0.375609,0.36755097,0.3870481,0.4294041,0.482747,0.5288699,0.5499622,0.53696406,0.49538767,0.44141325,0.3931271,0.36124644,0.34664038,0.3432623,0.3436046,0.34228763,0.33719835,0.32771888,0.31315163,0.2924888,0.26675728,0.24060078,0.22061516,0.21240295,0.21809483,0.23666449,0.26418522,0.2944092,0.32064745,0.3378637,0.34507272,0.3436149,0.3367093,0.32762,0.32094875,0.31964594,0.32371774,0.32859924,0.3298145,0.32572067,0.31846216,0.31074786,0.30404404,0.2990756,0.29636905,0.29667318,0.29952636,0.3036524,0.30723372,0.3089697,0.30764553,0.3018212,0.29099402,0.27788505,0.26879713,0.26995984,0.28198788,0.2984496,0.3093015,0.3080065,0.29515705,0.27825636,0.26636127,0.2648439,0.2739941,0.29253736,0.3236461,0.372056,0.43761238,0.50579214,0.5535266,0.5590721,0.516241,0.43627635,0.3429481,0.2614896,0.20864047,0.18959264,0.19751363,0.21928824,0.23860037,0.24528427,0.23843062,0.22813518,0.22541213,0.23528612,0.25221294,0.26618433,0.27020034,0.26576272,0.26091412,0.2624509,0.27022558,0.2767974,0.27465928,0.26135156,0.24181885,0.22497801,0.22085768,0.23497272,0.26396242,0.29395017,0.3081166,0.29844034,0.2719362,0.24539667,0.23208158,0.2336216,0.24111624,0.24461412,0.24017316,0.23137891,0.22574115,0.23005168,0.24682258,0.27169573,0.29463026,0.3047387,0.2971396,0.2765906,0.25536376,0.24655597,0.25625238,0.2801753,0.30673993,0.3249866,0.33060253,0.3259471,0.31599224,0.30439517,0.29364964,0.2857742,0.28239736,0.28236318,0.2811613,0.27380958,0.25947234,0.24362163,0.23365895,0.23278685,0.23748718,0.24213092,0.24535085,0.25025424,0.2593838,0.26925877,0.27355424,0.26947677,0.26228502,0.2597513,0.2650393,0.2726036,0.27490056,0.26905313,0.26066756,0.25700748,0.2606127,0.26547197,0.26237583,0.24571969,0.21839178,0.19101913,0.17672627,0.18586391,0.2185141,0.26363194,0.3014697,0.31761703,0.31026816,0.29155025,0.27490017,0.26745674,0.2697463,0.2833182,0.31543657,0.37195602,0.4481236,0.521956,0.56553596,0.5594341,0.50477177,0.4205998,0.33312866,0.26654437,0.23683898,0.25397453,0.31622174,0.4090267,0.49969617,0.5534746,0.5470376,0.4859369,0.39632282,0.3128728,0.26081327,0.2524784,0.28782633,0.35680428,0.4393475,0.50819665,0.539783,0.52449954,0.47308457,0.40711632,0.34836122,0.30670056,0.28352082,0.27556416,0.28046346,0.29342464,0.3069291,0.31328332,0.31041953,0.30246186,0.2953556,0.29124165,0.2879835,0.28333798,0.27832642,0.2767677,0.28047404,0.28836644,0.2971903,0.30535898,0.31221294,0.31739816,0.3204738,0.32220832,0.32572138,0.33244726,0.34078658,0.3447386,0.3413495,0.33220258,0.32394293,0.32078028,0.32263592,0.32575992,0.32761946,0.32919213,0.33345208,0.34206593,0.35272393,0.36108932,0.3641456,0.3625569,0.35925367,0.35765862,0.3621085,0.37847504,0.41178462,0.45950818,0.5095635,0.54277045,0.5442757,0.5091143,0.44817784,0.38013008,0.32651803,0.3007121,0.31062195,0.35459924,0.4234679,0.49492875,0.54391646,0.5518396,0.5182003,0.45745382,0.39073953,0.33572555,0.29995653,0.28186074,0.27427587,0.27045107,0.2655636,0.25704923,0.24438928,0.22926606,0.21530788,0.20590411,0.20261766,0.20451528,0.20924087,0.21466915,0.21961486,0.22411458,0.22823845,0.2318135,0.23423298,0.23538345,0.23647226,0.24049258,0.251976,0.2733902,0.3013105,0.32514384,0.333757,0.32361507,0.3012446,0.27764204,0.26021698,0.25073472,0.24718094,0.24827313,0.25424972,0.26595464,0.2819917,0.29811123,0.30952218,0.31394485,0.31311664,0.31045938,0.3086033,0.30803898,0.30857122,0.3111463,0.31745753,0.3283172,0.34130946,0.35244688,0.35813951,0.35791528,0.3535006,0.34941193,0.35266325,0.37299955,0.4156923,0.47576556,0.5337197,0.56612164,0.55636007,0.50646394,0.43360448,0.36152884,0.30696675,0.2743674,0.25813928,0.2502639,0.24550365,0.24207498,0.23967071,0.23842464,0.23895806,0.24230368,0.248702,0.25677514,0.26429212,0.2697363,0.27299765,0.2743688,0.27386582,0.27106926,0.26619878,0.26019725,0.25466612,0.2519969,0.25532544,0.26842293,0.29064837,0.31511906,0.32896793,0.32455328,0.3043152,0.28032777,0.26266742,0.25446108,0.25270045,0.25427607,0.25773713,0.2620131,0.26515913,0.26520312,0.26183662,0.25647923,0.25133905,0.24790461,0.24683154,0.24786949,0.25051993,0.2538499,0.25704423,0.2592362,0.26000533,0.2590384,0.2565142,0.2528224,0.2486117,0.2462854,0.25171843,0.27574608,0.3266685,0.40212882,0.48234025,0.53937393,0.55127853,0.5142321,0.44309643,0.361232,0.29253432,0.2531915,0.25423965,0.29664096,0.37128326,0.45409194,0.515722,0.532535,0.49896443,0.42876986,0.3468515,0.2808143,0.25205123,0.27592063,0.35374525,0.46978903,0.58691573,0.6628925,0.66870207,0.6047656,0.49694562,0.38205513,0.2921354,0.24463491,0.24077196,0.26566133,0.2956076,0.30872962,0.29824725,0.27360016,0.2513269,0.24109934,0.24379496,0.25778508,0.2877318,0.34143636,0.4212655,0.5148564,0.59716576,0.64012176,0.6265927,0.560524,0.4656602,0.3756378,0.31826648,0.31017447,0.35308668,0.4358069,0.5315879,0.606247,0.6316273,0.59852755,0.52146274,0.42607093,0.33927858,0.2744831,0.234798,0.21309221,0.2014624,0.19259794,0.18395822,0.17612533,0.17123623,0.1699029,0.1712193,0.1739897,0.1778866,0.18294407,0.18874826,0.1943624,0.19879882,0.20146711,0.20218946,0.20091969,0.19765896,0.19231577,0.18522811,0.17689194,0.16801924,0.15874012,0.1491634,0.13952708,0.1307799,0.12380571,0.11874995,0.11457636,0.10948479,0.10256639,0.09471213,0.08933658,0.08895809,0.0931336,0.09617836,0.09213581,0.07813785,0.057843566,0.0374291,0.022235049,0.013752341,0.010978937,0.012327291,0.016516747,0.022291332,0.027487239,0.030003719,0.028610028,0.024021253,0.017916415,0.012259631,0.008490849,0.007865149,0.011315768,0.01894536,0.029273406,0.03943536,0.04662453,0.049532946,0.04879023,0.045954227,0.042415038,0.038956393,0.036182884,0.035142034,0.036921125,0.04193524,0.04886994,0.055571962,0.06001635,0.061728608,0.06128086,0.059689138,0.057598114,0.055352684,0.053293437,0.051750164,0.050909385,0.050551564,0.050322592,0.049942464,0.049342945,0.048482146,0.04734434,0.045947533,0.044399332,0.042739496,0.04098345,0.03923559,0.037764516,0.036823418,0.036360264,0.036028687,0.035554916,0.03552426,0.037755832,0.04464275,0.05672278,0.07087978,0.080653764,0.08047854,0.069235496,0.051363662,0.033240464,0.019744817,0.012552337,0.011538501,0.016120898,0.025409257,0.037498437,0.0495337,0.059050214,0.065065645,0.06815309,0.06946036,0.069991924,0.07026635,0.07038033,0.07009753,0.06915579,0.0676026,0.06589702,0.06461122,0.06387945,0.06328231,0.062129173,0.06035675,0.058815047,0.059175532,0.062480688,0.068256915,0.074142404,0.07763785,0.07756411,0.074767135,0.07082799,0.066874914,0.06310997,0.05941224,0.05581831,0.05260792,0.0500014,0.048010066,0.046489615,0.045353513,0.044623494,0.044265732,0.04401803,0.043495584,0.04250219,0.04121196,0.039986297,0.039109543,0.038638473,0.038514618,0.038576607,0.0386492,0.03851979,0.038418543,0.039179195,0.042437833,0.04897278,0.057621907,0.06439198,0.065496705,0.059671223,0.049805637,0.04001746,0.033161473,0.029338911,0.027336622,0.026096964,0.025325125,0.025051987,0.02507817,0.024957053,0.024328552,0.023203418,0.021914354,0.020763671,0.01989226,0.019326374,0.01923591,0.019586878,0.020027133,0.019729497,0.018306991,0.015943946,0.013479368,0.011464547,0.010275361,0.010664062,0.0146291135,0.024928397,0.04250298,0.064631514,0.08496341,0.09783715,0.10103205,0.096616186,0.087428056,0.075435214,0.06197889,0.05011262,0.04454294,0.048515495,0.06034125,0.073180795,0.07913592,0.07413342,0.05982043,0.041776303,0.025872203,0.016121237,0.014244619,0.02023916,0.03217728,0.04577906,0.05541003,0.05670583,0.04915091,0.036188938,0.022831976,0.01362835,0.0117526995,0.020027706,0.038673952,0.06438625,0.08886858,0.10497952,0.10962477,0.10636277,0.09998515,0.093967706,0.08844689,0.08236306,0.07536314,0.06870342,0.06483071,0.06495032,0.06814119,0.07171298,0.07359595,0.07344239,0.07198322,0.06992821,0.067275375,0.06458824,0.06285838,0.063363485,0.06535322,0.06638577,0.0631976,0.054672893,0.042417258,0.03236493,0.034730617,0.06473234,0.13341987,0.23920254,0.36112738,0.47176895,0.5502327,0.5901802,0.59268683,0.5619628,0.5063017,0.44170424,0.38405335,0.3442428,0.32039696,0.30981553,0.30472103,0.302495,0.29568127,0.2844732,0.26852295,0.25282675,0.23721643,0.22347198,0.21353357,0.21313484,0.22332121,0.23939872,0.25064945,0.24902557,0.23158216,0.20318545,0.17129432,0.14459743,0.12781309,0.12182612,0.12265813,0.12494483,0.12408001,0.11852472,0.10900211,0.0984365,0.089818634,0.08691749,0.09078878,0.10041466,0.11018857,0.11476555,0.110279955,0.09879922,0.085193776,0.07559526,0.07199612,0.073197044,0.075458534,0.0774433,0.07897005,0.08090294,0.08198104,0.08167856,0.080008805,0.07842073,0.07687294,0.07443228,0.06963862,0.062433038,0.053910524,0.04626158,0.041133225,0.03895406,0.03816748,0.037018757,0.03450399,0.031329308,0.0284604,0.026581168,0.025612948,0.025330877,0.025523832,0.025956906,0.02639091,0.026380673,0.025445422,0.023051798,0.019207122,0.014558837,0.010244508,0.0072176717,0.005962327]