[0.30384845,0.32546982,0.36064813,0.37734807,0.3585831,0.31734368,0.28733328,0.29445794,0.33501634,0.38052452,0.40006092,0.38155642,0.3320595,0.26801887,0.20365135,0.14770745,0.1034351,0.0711914,0.051221643,0.04551922,0.05679637,0.08502897,0.12506533,0.16754915,0.20292984,0.2245935,0.23042156,0.22213584,0.20539641,0.18836783,0.17944656,0.18354647,0.20076461,0.22795872,0.26131257,0.29697213,0.32932022,0.3504975,0.352922,0.33327326,0.29505667,0.24689822,0.19950616,0.16090299,0.13523963,0.12264793,0.12242272,0.13343163,0.15317267,0.17556863,0.19254595,0.19869168,0.19470932,0.1862265,0.17780475,0.16988929,0.15981637,0.14833738,0.14117336,0.14607483,0.16393529,0.18569578,0.19761606,0.19264127,0.17700695,0.16291857,0.15689766,0.15346287,0.14420958,0.12767377,0.11119246,0.10328236,0.107569575,0.12313489,0.14531389,0.16527385,0.17194472,0.15987277,0.13713935,0.12191167,0.12996124,0.16180186,0.20280679,0.23345423,0.24212937,0.23003156,0.20703065,0.1834418,0.1645844,0.15152252,0.1438517,0.14102936,0.14105065,0.14139408,0.14038388,0.13813333,0.13332266,0.123830825,0.109027974,0.09388733,0.08475853,0.08399025,0.08617639,0.083819665,0.073443905,0.058520067,0.04497494,0.037201952,0.037357267,0.04813689,0.071825415,0.105259635,0.13641983,0.14994317,0.13858214,0.108953424,0.07603801,0.051624935,0.03870758,0.033838656,0.032877978,0.033553097,0.03499685,0.03649252,0.037223533,0.036622766,0.034687046,0.031893883,0.028906299,0.026275665,0.024370765,0.023445306,0.02371951,0.025614908,0.030431325,0.041134924,0.06178983,0.09459447,0.13687147,0.18037312,0.21556097,0.23444976,0.23411374,0.21572642,0.1883682,0.16593122,0.16289961,0.1833961,0.21948142,0.2569299,0.2851589,0.30095163,0.30343673,0.2901219,0.25884557,0.21509433,0.17406343,0.15117835,0.15126652,0.16534548,0.1820669,0.19717449,0.21437044,0.23584501,0.25644204,0.26598302,0.25720838,0.23210971,0.20126386,0.17790855,0.16954714,0.17504376,0.1864307,0.19517468,0.19593793,0.18825383,0.17510106,0.16080059,0.1499588,0.14595522,0.15029222,0.15969379,0.1677957,0.16815059,0.1600877,0.14858796,0.1413321,0.14389922,0.15746717,0.17878442,0.20047955,0.21427421,0.2139877,0.20034163,0.17979695,0.1623584,0.15455109,0.15813398,0.1690688,0.18300672,0.19626836,0.20771879,0.21545331,0.21821816,0.21517737,0.20857249,0.2014622,0.19779235,0.19978452,0.2079585,0.21878058,0.22632563,0.2238307,0.20843054,0.18220098,0.15318692,0.1303099,0.11962793,0.11959413,0.1238992,0.12466989,0.11759385,0.102345616,0.082647555,0.06341093,0.048694674,0.03943648,0.034247894,0.030778473,0.027848726,0.025994912,0.027384361,0.034057405,0.04577702,0.059789095,0.07335517,0.08688416,0.102681376,0.12096154,0.13761054,0.14743173,0.14878283,0.14440988,0.13850482,0.13342051,0.12957755,0.1264091,0.12359375,0.12083694,0.11814227,0.11547498,0.1128757,0.10997819,0.106480055,0.10233008,0.098079294,0.09412553,0.09046779,0.0872313,0.08661652,0.0941957,0.11683049,0.15795635,0.21310566,0.27180254,0.32178128,0.35445073,0.3647512,0.35271636,0.32209173,0.28196818,0.2440688,0.22219594,0.22630234,0.25698698,0.30069986,0.33566234,0.34445414,0.32491052,0.28887337,0.2511463,0.22014809,0.19869359,0.18966563,0.1972783,0.2207128,0.25212982,0.28079447,0.30133912,0.31278136,0.31504,0.30586287,0.28501335,0.25622946,0.22559434,0.19739984,0.17368995,0.1573443,0.15264626,0.16325533,0.18798536,0.2213614,0.2539531,0.2756518,0.27768236,0.25882047,0.22659822,0.1952161,0.17640011,0.17476986,0.18631203,0.2041025,0.2217372,0.2352645,0.23994648,0.23033758,0.20395602,0.16690744,0.13244013,0.112270616,0.10863733,0.11450564,0.12104694,0.12310826,0.119879566,0.11221448,0.10275894,0.09591663,0.09681109,0.10659531,0.12189236,0.13747516,0.15273248,0.17104258,0.19598919,0.2247874,0.25024012,0.26538256,0.26924667,0.26633355,0.2628186,0.26285252,0.26692116,0.27372727,0.28194985,0.2916644,0.3031274,0.31522763,0.32484314,0.32774457,0.3207047,0.30326566,0.2794163,0.2560285,0.24021311,0.23467965,0.23766212,0.243873,0.24897714,0.25137463,0.25335634,0.2582734,0.2672921,0.27761826,0.28437734,0.2833712,0.27250206,0.25125465,0.2215237,0.18761717,0.15579832,0.13065928,0.11362871,0.10284337,0.0958289,0.09113359,0.08896165,0.09024028,0.09436491,0.09829306,0.09705559,0.08773165,0.07133197,0.052706823,0.036617536,0.025489725,0.019741341,0.020943994,0.034258112,0.06576187,0.11698993,0.18018275,0.24214034,0.29055622,0.31910583,0.3254619,0.31108883,0.28218293,0.2508601,0.22918458,0.22258228,0.2271858,0.23470163,0.23757423,0.23253709,0.21967201,0.20243044,0.18523484,0.17365964,0.17047781,0.17468546,0.18034114,0.1821109,0.17968087,0.17825778,0.1833363,0.19529383,0.2094797,0.21904087,0.2195866,0.21121474,0.19899134,0.18966289,0.18737768,0.19165708,0.19879313,0.20567818,0.21186323,0.21886562,0.22713642,0.23300077,0.23091851,0.21783668,0.19828318,0.18030636,0.1698802,0.16619635,0.16652156,0.170596,0.1804112,0.19456059,0.20623966,0.20819426,0.19924046,0.18532707,0.17598937,0.17734367,0.18932058,0.20409042,0.21271743,0.21002902,0.19913107,0.18703036,0.18017083,0.17951852,0.1812825,0.17947756,0.17096667,0.15726228,0.14325036,0.1333077,0.1299659,0.1345122,0.14681049,0.16352159,0.17719637,0.1804529,0.17054291,0.15169303,0.13098155,0.11413181,0.1026152,0.095184825,0.089762844,0.08521979,0.081249624,0.07792758,0.07508523,0.07241303,0.069627486,0.06665879,0.06358848,0.060679886,0.05846973,0.057412226,0.057474166,0.05773519,0.05718336,0.055316284,0.052650567,0.049971517,0.047916796,0.04660439,0.045903843,0.045505006,0.045264006,0.04640414,0.052932825,0.07205629,0.10990881,0.16614147,0.23067285,0.28964365,0.33438823,0.36568904,0.38777348,0.3993143,0.392856,0.36350843,0.31585297,0.26348454,0.22040065,0.19896059,0.20626454,0.24335659,0.2997816,0.3572092,0.39769268,0.41169763,0.39931548,0.3664044,0.32195404,0.2758237,0.23603518,0.20666093,0.18751396,0.17696182,0.17297393,0.17490654,0.18297751,0.19914967,0.2236898,0.25423345,0.28446698,0.30875227,0.32274866,0.32468724,0.3128228,0.288682,0.25823095,0.23266053,0.22158305,0.22805245,0.24619849,0.26653215,0.2820302,0.29205808,0.30003497,0.3084791,0.31540856,0.31648317,0.30902064,0.29500368,0.27839813,0.26230437,0.24658567,0.23057751,0.21486141,0.2030834,0.19807039,0.19910097,0.20048515,0.19781785,0.19270758,0.19236082,0.2015503,0.21777445,0.23397832,0.24547978,0.25183252,0.25324687,0.24750878,0.23335749,0.21583022,0.2056335,0.21149682,0.23194069,0.257815,0.2792414,0.29259852,0.2975293,0.29468727,0.28437123,0.2698041,0.25632983,0.24943906,0.25115457,0.26014185,0.27195284,0.28102967,0.28189567,0.27223846,0.25457138,0.23541738,0.2206431,0.21214302,0.2083016,0.2087431,0.21551079,0.23073626,0.25118902,0.2682662,0.27240378,0.25970325,0.2344942,0.20564358,0.18037176,0.15951566,0.13921802,0.11546395,0.088485055,0.0623309,0.041835222,0.029323287,0.024142386,0.02397749,0.026548237,0.030237695,0.03405477,0.037331555,0.039649297,0.041904673,0.047798205,0.06429789,0.09647068,0.14149022,0.1866911,0.21917783,0.23556656,0.24396515,0.2541555,0.26974007,0.2880874,0.30612978,0.32261494,0.3368722,0.34671977,0.34947824,0.34312582,0.32787654,0.30707642,0.28750622,0.27696157,0.27919883,0.2908001,0.30302712,0.30773842,0.3020665,0.28820375,0.27159587,0.2576366,0.25036028,0.24846965,0.24603789,0.23484822,0.211753,0.18027763,0.14904135,0.12552753,0.11430076,0.11665278,0.13257521,0.1580831,0.18430315,0.19961537,0.19888104,0.18890108,0.18282266,0.18767814,0.19667459,0.19727768,0.18312496,0.16063868,0.14228179,0.13742101,0.14690632,0.16511369,0.18450248,0.1996801,0.20865335,0.21162899,0.20881857,0.1997943,0.18582167,0.17194445,0.16475719,0.16637121,0.171802,0.17389067,0.17181887,0.17174076,0.18061273,0.19696951,0.21248181,0.21721655,0.2081591,0.18876345,0.16661732,0.14760526,0.13442074,0.1263014,0.12152932,0.11860994,0.11686195,0.11563191,0.1141764,0.111781605,0.10824222,0.10379211,0.09881124,0.093566746,0.08819338,0.082871385,0.07781818,0.07323333,0.069129236,0.06538466,0.0618365,0.05843043,0.05521646,0.052292693,0.04974015,0.04763515,0.046064865,0.0450833,0.044637084,0.04456919,0.044678923,0.04478997,0.044727102,0.044337526,0.043527927,0.042304233,0.04094221,0.040712167,0.045574192,0.06238691,0.09796729,0.15229033,0.21630697,0.27565458,0.31956708,0.34192792,0.34094742,0.31861764,0.28813002,0.26917803,0.2770242,0.30702868,0.34127036,0.361963,0.36561784,0.35944286,0.3532348,0.3511554,0.34912562,0.3369595,0.30607232,0.25960597,0.2161292,0.19757138,0.21310742,0.2503048,0.28780416,0.31100774,0.32022452,0.3225522,0.32217383,0.31811002,0.3082303,0.29354015,0.27688006,0.26082566,0.24622484,0.23315768,0.22213922,0.21417427,0.21025038,0.21019186,0.21276836,0.2158963,0.21709435,0.21375595,0.20377992,0.1870478,0.16510457,0.14124784,0.11956843,0.10618105,0.106247075,0.11975636,0.1373889,0.14553331,0.1354052,0.10982385,0.08063233,0.062261257,0.0664049,0.0973294,0.14684765,0.1937571,0.21462913,0.19977702,0.15982263,0.11793076,0.09573787,0.1053066,0.1457182,0.20336163,0.25532493,0.28112736,0.27659988,0.26043677,0.26562464,0.31548965,0.40540716,0.5007104,0.56454486,0.5814023,0.56504154,0.53733516,0.5100482,0.4794236,0.4360906,0.37695476,0.3100281,0.25321546,0.22399342,0.22982295,0.26009473,0.29254806,0.30439916,0.28897965,0.25730637,0.23026514,0.22060256,0.22513936,0.2291375,0.21984555,0.19689049,0.17224984,0.1612858,0.17219214,0.20054375,0.23436208,0.26142606,0.27567217,0.27654406,0.27083907,0.27224588,0.29828647,0.35320556,0.4202694,0.4656619,0.4669263,0.42575237,0.36704612,0.31651628,0.28654978,0.27240118,0.25786313,0.22957408,0.18515392,0.13898279,0.11201777,0.121165834,0.16795766,0.23826031,0.3106426,0.36976382,0.41280314,0.4469011,0.4791886,0.51162124,0.5383303,0.5493714,0.53738314,0.5045119,0.46336246,0.4260255,0.39429155,0.35881636,0.31225908,0.25927594,0.21510108,0.19335574,0.19896628,0.22517999,0.2582353,0.27828565,0.27174798,0.23747946,0.19141495,0.15112875,0.1270417,0.11816696,0.12384025,0.1449139,0.18193309,0.22585946,0.26462677,0.29089126,0.30976963,0.32900217,0.3490176,0.3607398,0.36028257,0.35911763,0.37895742,0.42717648,0.48543334,0.5178378,0.5031074,0.44915155,0.3878932,0.34776917,0.3371909,0.3443967,0.35062322,0.34290925,0.317435,0.27877408,0.23606224,0.20037486,0.18057297,0.18015273,0.19702716,0.22779353,0.26974854,0.32305178,0.38529018,0.45025492,0.5032119,0.52810955,0.51551145,0.47016153,0.40538207,0.33285418,0.25823453,0.1857732,0.12233602,0.07537795,0.0490014,0.044865966,0.066186585,0.1122876,0.17236845,0.22020166,0.23227091,0.20138748,0.1456563,0.08980536,0.05118752,0.031454243,0.026767684,0.036163807,0.063844614,0.11123586,0.16996421,0.22308552,0.25585723,0.26475003,0.2578785,0.24861787,0.25054815,0.27601472,0.3310113,0.40802217,0.4838811,0.5322928,0.5422799,0.52467257,0.5008373,0.48472658,0.47623265,0.46807352,0.45561862,0.4417498,0.4327915,0.4320767,0.43376625,0.4242958,0.39181006,0.33877492,0.28591552,0.26162526,0.2816262,0.3408524,0.41642842,0.4861069,0.5315206,0.54536647,0.5262662,0.48452854,0.4343339,0.3883848,0.35084125,0.3197421,0.29376277,0.27535823,0.2703047,0.28065816,0.30100343,0.31852302,0.32278132,0.3131326,0.298682,0.28602955,0.2732372,0.25491813,0.23549162,0.22761361,0.23935933,0.26263297,0.281685,0.28776172,0.2857902,0.28591827,0.29384342,0.30915347,0.32865462,0.35224506,0.3825208,0.42410776,0.4742756,0.5202673,0.5414507,0.5258421,0.4806418,0.42953172,0.39424932,0.37819552,0.3675734,0.34539047,0.30770946,0.26446316,0.2321677,0.22133563,0.2334668,0.2613499,0.2969242,0.33429897,0.3726569,0.41089773,0.44810784,0.48105645,0.50724417,0.5207734,0.51587236,0.49032006,0.4501622,0.4051504,0.36129203,0.31893453,0.27618536,0.23359829,0.19353153,0.16003847,0.13845338,0.13558055,0.1519173,0.1775229,0.19229273,0.18195789,0.14644437,0.101344086,0.06267015,0.038711432,0.027979204,0.027757183,0.03935122,0.06674359,0.10927915,0.15617295,0.19158001,0.20497786,0.19904064,0.1853667,0.17865294,0.19170259,0.23651104,0.3151202,0.41204098,0.49292275,0.52584857,0.50388044,0.44998538,0.399359,0.3737581,0.37588942,0.3950325,0.42170858,0.4476415,0.46366128,0.45742503,0.42121515,0.36122596,0.29881945,0.26121306,0.26632866,0.3127178,0.3829991,0.45392457,0.5095045,0.5414986,0.55024624,0.53988165,0.5189689,0.49479476,0.46957955,0.43923244,0.397802,0.34663832,0.29764673,0.2699498,0.27445897,0.3036224,0.33521447,0.35091332,0.35133553,0.34898138,0.35123244,0.34899592,0.32895735,0.28968224,0.24708621,0.22178338,0.22446637,0.2510785,0.28923723,0.32721198,0.35885295,0.381963,0.39405754,0.3933067,0.3833408,0.37875712,0.39638308,0.44098154,0.4946815,0.52796113,0.52272874,0.4864929,0.44533584,0.41955522,0.41037825,0.40120926,0.37680495,0.33412108,0.28512666,0.24416558,0.21887112,0.20686875,0.20339398,0.20808087,0.22514643,0.25903055,0.30797705,0.36751756,0.4269519,0.4756628,0.49740502,0.4862094,0.44509223,0.39138743,0.3378028,0.28922424,0.24169032,0.19387716,0.14970793,0.11675924,0.10183228,0.109931014,0.13983653,0.18134993,0.21351491,0.2175423,0.18766432,0.13729714,0.086475916,0.049823213,0.029808939,0.023096524,0.027986342,0.04732396,0.08323972,0.13054258,0.17644477,0.20842545,0.223123,0.2266736,0.22855385,0.23693939,0.25913993,0.30313993,0.36751023,0.43734613,0.48535153,0.49710968,0.47915328,0.45686495,0.44826236,0.45458412,0.4627799,0.4610877,0.4482707,0.43086484,0.4150605,0.39881852,0.3775833,0.35220098,0.3344517,0.33724642,0.36610937,0.4127402,0.46528926,0.5113824,0.5461066,0.5629085,0.55969507,0.5347958,0.49471614,0.44579875,0.3943747,0.34435424,0.30172575,0.27399206,0.2669244,0.2808018,0.30961105,0.3411915,0.36125752,0.35758317,0.32987484,0.29064056,0.26086876,0.2527775,0.26159975,0.26756307,0.25525922,0.22650385,0.20109154,0.19786084,0.22103389,0.25600356,0.2853016,0.29896033,0.30008984,0.29542133,0.29438856,0.30686656,0.34317565,0.39927745,0.45454657,0.47979632,0.46535966,0.42559218,0.39082548,0.37920985,0.39000908,0.40413785,0.40244722,0.3758706,0.33270288,0.29050967,0.2663109,0.26659283,0.2890067,0.32569382,0.37029943,0.41603222,0.4586741,0.49308828,0.5164211,0.5229607,0.5079566,0.47087708,0.42001152,0.36806867,0.32334247,0.2883105,0.26146537,0.24214679,0.22805244,0.21834421,0.2146942,0.22396433,0.24800555,0.27977073,0.30260298,0.30474326,0.28452757,0.25108474,0.21475925,0.183782,0.16323489,0.15630461,0.16399872,0.18390514,0.21065573,0.23663355,0.25588253,0.26590744,0.26861325,0.26646522,0.26425827,0.27019668,0.2979854,0.35300586,0.42265093,0.4748839,0.4828496,0.44508854,0.38777956,0.34225965,0.32087678,0.31475163,0.30603817,0.2892438,0.27203354,0.26799986,0.2786424,0.2925695,0.29410043,0.28116152,0.2695007,0.2832844,0.33390617,0.41149625,0.48797616,0.5369745,0.5436766,0.5147366,0.469983,0.433571,0.41603863,0.4105537,0.39981103,0.3709979,0.3243384,0.27160105,0.23005392,0.21495502,0.23183702,0.27169266,0.31120107,0.3274437,0.31034267,0.27068004,0.22667181,0.1936668,0.17662227,0.17611723,0.19049668,0.21645826,0.24782653,0.27752873,0.3005552,0.3158339,0.32571605,0.3339441,0.34382764,0.35848582,0.3824924,0.4177456,0.45715594,0.48296204,0.4790341,0.44647038,0.40392363,0.37396538,0.36352408,0.36360693,0.35655937,0.33229268,0.2916621,0.2455333,0.20490722,0.17579298,0.15907963,0.15708828,0.17608748,0.22382496,0.29782903,0.38525674,0.46393982,0.51716036,0.53394634,0.51488763,0.46876118,0.41154733,0.35713407,0.3084217,0.26037148,0.20795245,0.15525295,0.11142657,0.085840076,0.08386636,0.10668505,0.14768818,0.19043458,0.21312873,0.20246814,0.16236712,0.111374706,0.06795941,0.04084321,0.028403655,0.027290396,0.038765594,0.068051554,0.11718396,0.17899789,0.23927347,0.28495148,0.31065428,0.31870973,0.31839883,0.32351458,0.3498075,0.39883935,0.45451,0.48592994,0.47766855,0.43681613,0.3910222,0.35930595,0.34415546,0.33343342,0.3185253,0.30134237,0.29073203,0.29172745,0.30091298,0.311602,0.32194555,0.33651087,0.3605061,0.39504692,0.43543267,0.47849217,0.5190342,0.55320305,0.5680888,0.55670005,0.5181698,0.46868274,0.42291197,0.38845745,0.35969245,0.3298564,0.2970259,0.26591682,0.2439393,0.23912747,0.25582364,0.29118934,0.33062616,0.35574463,0.35213768,0.32053897,0.27277306,0.2273711,0.196961,0.18618663,0.19076727,0.20670243,0.23108943,0.26255617,0.29555202,0.32362324,0.34102133,0.34576106,0.34002897,0.33214843,0.33791462,0.36825225,0.41910735,0.46535715,0.4824226,0.4633254,0.42632237,0.39758185,0.39337555,0.41292003,0.44179812,0.46392658,0.46712473,0.44891617,0.4123927,0.36581692,0.3182491,0.2820578,0.26866913,0.28815413,0.33839205,0.40808317,0.47514868,0.5229325,0.53901154,0.52414715,0.48561898,0.43959165,0.40021718,0.3739295,0.35705653,0.34156454,0.3219894,0.2976953,0.272739,0.2547837,0.24915425,0.2554032,0.2632228,0.263142,0.25125176,0.23461471,0.2199627,0.21001177,0.20058507,0.18925887,0.17879356,0.17739062,0.1909489,0.2173328,0.24626714,0.26699975,0.27517438,0.27325857,0.26911095,0.2731687,0.2988491,0.34975794,0.4130576,0.4581425,0.46158966,0.42402792,0.37177196,0.33348766,0.31913677,0.319425,0.3180797,0.3100141,0.29902312,0.29359475,0.29527363,0.3014543,0.30717254,0.3107222,0.3164797,0.3329537,0.36730346,0.41711357,0.46885157,0.5058376,0.51363146,0.49135458,0.44721332,0.3991592,0.35861322,0.3290045,0.3050432,0.28485498,0.27309397,0.27848807,0.30390832,0.3421444,0.37562516,0.38753867,0.3690506,0.3273524,0.277713,0.23714878,0.21473192,0.21306407,0.22826214,0.25226852,0.27484715,0.28852823,0.293548,0.29728222,0.30935976,0.33383694,0.36517096,0.39020672,0.3984714,0.39197743,0.38808224,0.4038041,0.44009432,0.47467852,0.48329368,0.45938313,0.4201983,0.38699713,0.3662074,0.34908366,0.32461476,0.29419446,0.26669404,0.24978358,0.23944974,0.22674857,0.20636988,0.18591131,0.1816986,0.21005766,0.27308834,0.3574722,0.43550408,0.48381963,0.48733282,0.45414987,0.40245405,0.35739768,0.3284007,0.3112538,0.29052725,0.25615546,0.20855558,0.15928419,0.1237629,0.11558018,0.13688482,0.17667401,0.2105497,0.21800417,0.19165999,0.14446631,0.09511262,0.05829556,0.037260804,0.030797413,0.0394078,0.06724613,0.115882404,0.17777406,0.23804219,0.28388718,0.31210336,0.3272325,0.335552,0.34417072,0.36273727,0.39884886,0.4466999,0.48626217,0.49678314,0.4768664,0.44306326,0.417809,0.4085424,0.40962744,0.40567484,0.39023829,0.3649341,0.34216067,0.32955226,0.33084193,0.34214297,0.3604137,0.38251373,0.40853167,0.43843937,0.47337103,0.50998884,0.54300934,0.56077737,0.5556974,0.5260951,0.48273364,0.43767372,0.39708182,0.3579451,0.315243,0.26953325,0.22856669,0.20307809,0.20085126,0.2191159,0.24592036,0.26206747,0.25602755,0.22825104,0.1957484,0.1763149,0.17925447,0.19819923,0.22256263,0.24650544,0.2717388,0.2996576,0.32621518,0.3460436,0.3583839,0.3680911,0.37706757,0.38395253,0.38809907,0.3991851,0.42575762,0.4651549,0.4956943,0.49862573,0.4728087,0.4382939,0.4142141,0.40258503,0.38832843,0.35469475,0.30033544,0.24094999,0.19924575,0.18763252,0.20130505,0.22502466,0.24810018,0.27293134,0.31045267,0.36577606,0.43327227,0.49594125,0.5393607,0.5514815,0.53277653,0.48995766,0.43880224,0.3905371,0.35003805,0.31560478,0.28641617,0.26452747,0.2523119,0.2514641,0.26206926,0.2805246,0.2970834,0.29828236,0.27749258,0.24090897,0.20678647,0.19145095,0.19921036,0.21736144,0.22846587,0.22391362,0.21292818,0.21134366,0.22671044,0.24950494,0.26406452,0.26145372,0.24644272,0.2331417,0.23803528,0.2745653,0.34136775,0.41859624,0.47133884,0.4759396,0.43544224,0.37884402,0.3358669,0.3165169,0.31030503,0.30008706,0.28090438,0.26045725,0.2521383,0.25933728,0.2754513,0.29089823,0.30479547,0.32473215,0.35873568,0.4058695,0.45824265,0.5029125,0.53101283,0.53180623,0.5046639,0.45409238,0.39846715,0.35196054,0.32339653,0.30836603,0.29880333,0.2853422,0.26445162,0.24029623,0.22681159,0.2371229,0.2735832,0.318603,0.3489832,0.3499205,0.32799757,0.2997025,0.28085944,0.27722955,0.2880719,0.3083314,0.3304025,0.34558412,0.34756193,0.33712205,0.32124615,0.30986217,0.30936363,0.32307908,0.35196495,0.39752498,0.45440093,0.5080391,0.53589076,0.5264043,0.48805568,0.44746217,0.42663944,0.42855594,0.43703827,0.43208006,0.40552488,0.3654132,0.33027753,0.31490907,0.32073316,0.33653268,0.35002065,0.35982895,0.37602377,0.40929186,0.46084043,0.51721436,0.5601311,0.57209164,0.5506175,0.5046765,0.45258287,0.40602985,0.36803213,0.33631554,0.31108478,0.29516903,0.28796577,0.28481075,0.28240705,0.28113672,0.28265503,0.2807199,0.26745248,0.23883916,0.20388734,0.1750079,0.16095896,0.1604842,0.16830142,0.18050398,0.19848703,0.22477174,0.2582564,0.29119202,0.31533828,0.32716468,0.32982925,0.33014748,0.33752486,0.3638866,0.41421294,0.4776803,0.5259319,0.5345261,0.5011118,0.44781208,0.40007713,0.3667024,0.3391122,0.3045944,0.26329517,0.2266001,0.20882452,0.21322602,0.23282218,0.25665668,0.27966854,0.3046715,0.33818343,0.38301826,0.43699923,0.4912736,0.5362596,0.55692667,0.54524153,0.50122947,0.44245434,0.38667652,0.34434724,0.3127276,0.28747272,0.26833972,0.25801837,0.25767455,0.26521528,0.27635542,0.28464568,0.28183255,0.2637081,0.23369475,0.20344718,0.18348527,0.17890424,0.18787122,0.20803338,0.23772831,0.27688694,0.3215858,0.3639182,0.3918157,0.39843202,0.38647255,0.36926648,0.3611225,0.37030578,0.39741197,0.43700027,0.47865954,0.5077382,0.5128341,0.49497792,0.4674128,0.44671822,0.439072,0.43951955,0.43507728,0.4150617,0.37523803,0.3217403,0.26859492,0.23121196,0.21962523,0.23479216,0.2723497,0.3256791,0.38714036,0.44945946,0.50378853,0.5431521,0.55782086,0.54524904,0.5097931,0.46583405,0.422129,0.37852713,0.33064628,0.28389755,0.2550858,0.259131,0.2955953,0.34568143,0.38606283,0.40190855,0.3941574,0.37199107,0.34494698,0.31721875,0.29200628,0.27318895,0.26539388,0.26761213,0.2761806,0.28672373,0.30007327,0.3159555,0.3323864,0.34417358,0.34872007,0.346386,0.34136784,0.3413866,0.35721728,0.393239,0.4398947,0.4723656,0.47177175,0.438996,0.39786777,0.37153545,0.36670813,0.37043783,0.36687312,0.35273638,0.33813274,0.33357954,0.33360597,0.32138672,0.28636083,0.24398641,0.22818534,0.267522,0.35996413,0.47273764,0.5614414,0.59554285,0.5709607,0.5073761,0.43335494,0.3709611,0.3271095,0.2965301,0.27109525,0.24879427,0.23621237,0.24280965,0.2718519,0.31342325,0.3492271,0.3627739,0.35180727,0.32784453,0.3094562,0.30862817,0.3253355,0.3490344,0.36856723,0.3796172,0.38397563,0.3839438,0.37709805,0.36160278,0.34065762,0.32430598,0.3191507,0.32280028,0.32765356,0.333341,0.352077,0.39259663,0.44653156,0.4851638,0.48834565,0.45852983,0.4221907,0.40106872,0.3999603,0.40572715,0.4047517,0.39176607,0.370447,0.34624764,0.3233855,0.30696034,0.30459985,0.32185808,0.35678634,0.40055165,0.4451126,0.48679206,0.52186424,0.5414689,0.534106,0.49785995,0.44294396,0.3861431,0.33544743,0.2890794,0.24083386,0.19069089,0.1451039,0.113399394,0.10273951,0.11551889,0.14616193,0.18062954,0.20031647,0.19355065,0.1616556,0.11854961,0.07901625,0.05205588,0.03952842,0.043188483,0.06838136,0.11968353,0.19235982,0.26743543,0.32127002,0.33900657,0.32450366,0.29527768,0.274588,0.28106558,0.32494336,0.39694166,0.47254586,0.5186971,0.5215816,0.48925027,0.44915485,0.4223734,0.41762766,0.42681837,0.43620992,0.43130812,0.40670526,0.36555743,0.31893376,0.27605993,0.24480955,0.23075126,0.24295993,0.28551596,0.3545483,0.4325308,0.49926838,0.53689045,0.5390804,0.5118882,0.47209087,0.4367877,0.41018197,0.38241854,0.3410323,0.28756782,0.24153198,0.22660689,0.25308022,0.3075054,0.364396,0.40133277,0.41136023,0.396669,0.3636843,0.3193593,0.2759108,0.24603868,0.23773403,0.24871284,0.27187434,0.29849467,0.321224,0.3331001,0.33180144,0.321352,0.31088436,0.30883542,0.32043958,0.34835532,0.3921145,0.44347587,0.48603162,0.5023909,0.48955917,0.4597384,0.4329605,0.41790465,0.411574,0.40273985,0.38625035,0.362278,0.33506536,0.30543783,0.27300557,0.24024881,0.21729732,0.21938835,0.25687006,0.3268528,0.41309103,0.49415207,0.5536806,0.5817624,0.5787418,0.5510325,0.5116802,0.46906546,0.42490172,0.37590894,0.32490122,0.28512564,0.27264392,0.29354933,0.33570084,0.3756709,0.392251,0.37863347,0.34356186,0.3038454,0.2738297,0.25855634,0.25430316,0.25405583,0.25375542,0.25419202,0.258792,0.2692282,0.28330374,0.29660615,0.30679703,0.31681165,0.33336726,0.36431947,0.412858,0.47519127,0.53433114,0.568018,0.55840236,0.51118755,0.4497807,0.40279695,0.3802242,0.37319997,0.36145177,0.33269885,0.2892826,0.24678801,0.21933879,0.20969605,0.20900834,0.20975274,0.21494599,0.23786187,0.28745368,0.36076358,0.43972233,0.5035551,0.53445333,0.5270706,0.48898312,0.4381646,0.39367595,0.36511782,0.35315993,0.35122892,0.35206077,0.3484739,0.33862266,0.32823014,0.3266305,0.33841148,0.35625067,0.36733556,0.36165896,0.33951572,0.30620536,0.26826227,0.22969835,0.19696932,0.17827864,0.18429983,0.21866207,0.27524564,0.3354229,0.38090542,0.4016744,0.40135705,0.38883737,0.37553993,0.37267372,0.39077365,0.42715335,0.46324584,0.47170162,0.44336465,0.39313015,0.35213962,0.33788028,0.3471031,0.35887995,0.35652843,0.33624414,0.30920753,0.2896378,0.28602743,0.29816368,0.3213252,0.35127106,0.38440362,0.4182891,0.4513229,0.4846293,0.51682854,0.5420747,0.5482065,0.5298889,0.4915153,0.44843426,0.41034648,0.37864125,0.3470241,0.3127825,0.2788874,0.25279748,0.24201383,0.25143805,0.27856115,0.31245425,0.3351004,0.33440784,0.31024718,0.27687863,0.24982345,0.23883976,0.24333584,0.25807798,0.27645004,0.29493606,0.31170216,0.32558516,0.33243874,0.32890952,0.31594315,0.30218887,0.29949126,0.31856328,0.36335778,0.42863235,0.49446467,0.5341273,0.525808,0.47479036,0.40785885,0.35899115,0.34007767,0.34090444,0.33839527,0.3183973,0.28013274,0.23371892,0.19039471,0.1586019,0.14307232,0.14733617,0.173244,0.2215405,0.2872811,0.36181358,0.43150663,0.48458567,0.51132995,0.5085737,0.48178455,0.44396773,0.4102281,0.38738093,0.37414446,0.3634173,0.34840026,0.32465604,0.2937056,0.26554516,0.25360033,0.264146,0.28784904,0.30469573,0.29880106,0.27071968,0.23605873,0.21149151,0.2017046,0.19897996,0.194665,0.19026327,0.19623877,0.22048597,0.25862634,0.29562077,0.3176531,0.32096538,0.31284198,0.30604506,0.31353697,0.3454635,0.39876112,0.4544743,0.4808333,0.46061018,0.4030609,0.34135392,0.30162376,0.28759155,0.28294957,0.27388456,0.26044136,0.25216606,0.25205517,0.25204784,0.24272238,0.22912902,0.22871773,0.25721276,0.3117309,0.37624648,0.43431005,0.47972646,0.5113171,0.5243768,0.51521254,0.485643,0.4487344,0.4148787,0.3890356,0.3679514,0.34905028,0.33011785,0.31101346,0.2941301,0.2853924,0.28742167,0.29408824,0.29267716,0.27703914,0.25321737,0.23359622,0.22426397,0.2218438,0.22012894,0.2179057,0.22070241,0.2346946,0.2605051,0.29027697,0.3138989,0.32566014,0.3282944,0.32859635,0.33434853,0.35249177,0.38886225,0.442019,0.4974581,0.5309542,0.5232233,0.47565353,0.40847418,0.34854415,0.30988157,0.29283354,0.286249,0.28297675,0.27920595,0.27558067,0.26716986,0.24881579,0.22017159,0.19381784,0.18920583,0.22149332,0.29016745,0.3785553,0.46031967,0.5131636,0.5260803,0.5072492,0.47474888,0.44853845,0.43485013,0.4283762,0.4170359,0.3925794,0.3544257,0.31079948,0.2764965,0.2650025,0.27981237,0.30968592,0.33587348,0.3434379,0.32821608,0.29399532,0.2480768,0.20046313,0.1640033,0.1480728,0.15172435,0.1634516,0.17362414,0.18267976,0.19923203,0.22773121,0.26287273,0.29565784,0.32274225,0.34964982,0.3838401,0.4243056,0.45866928,0.46812153,0.44593024,0.4028603,0.3645065,0.3486509,0.35764953,0.3779914,0.39555195,0.4025081,0.40034187,0.3939109,0.386574,0.37766528,0.36652496,0.35658464,0.3563286,0.37352028,0.40939346,0.4563268,0.49798718,0.5167704,0.5001144,0.45341682,0.3944486,0.34504142,0.31346253,0.2962462,0.28470424,0.27511752,0.2699503,0.27421585,0.2908255,0.31652793,0.34228668,0.35785237,0.35768104,0.3445846,0.3266485,0.31259635,0.30723044,0.3115348,0.32333717,0.33735827,0.3459965,0.34239206,0.325185,0.29968974,0.2751954,0.26006806,0.25786307,0.265782,0.27971196,0.29951632,0.33312917,0.38164166,0.4313805,0.4516934,0.425041,0.3607237,0.29536566,0.26205555,0.27200645,0.30927336,0.3439468,0.35113463,0.32629043,0.28984642,0.27019033,0.28229472,0.31637955,0.35101017,0.3712469,0.3799944,0.38983214,0.4129628,0.4497374,0.4902347,0.5173975,0.51905537,0.49449638,0.45534697,0.41656113,0.3863028,0.36368108,0.34354183,0.32507625,0.31457725,0.32097515,0.3464121,0.38048565,0.4041796,0.40158948,0.3702536,0.32249933,0.27639988,0.24564838,0.23465161,0.24120504,0.2609621,0.28871492,0.31913593,0.34573364,0.36400962,0.37228158,0.37365258,0.37349474,0.37574768,0.38123453,0.38945973,0.4036249,0.42972198,0.46763945,0.5056371,0.52290195,0.5098018,0.47367823,0.4360613,0.41014466,0.3953446,0.3788259,0.34929073,0.30428305,0.2537797,0.2166373,0.20865972,0.23163915,0.2701517,0.3051101,0.32769954,0.34459808,0.3674883,0.40370056,0.449084,0.49386492,0.5237262,0.5330117,0.52248305,0.50209063,0.47562775,0.4431874,0.40166786,0.35489514,0.30974588,0.27393636,0.25151408,0.24476254,0.25030157,0.259125,0.25677451,0.2344219,0.19299011,0.14439254,0.101056956,0.07060216,0.053586375,0.049333796,0.060758878,0.09432581,0.15267609,0.2272687,0.29885122,0.3488314,0.36925316,0.36628762,0.35543194,0.35496888,0.38006186,0.4297326,0.4864719,0.52042484,0.5168596,0.48213586,0.44206715,0.41650072,0.4097192,0.4098295,0.40115368,0.37459174,0.33081505,0.27890876,0.23159559,0.20201345,0.19995104,0.22759075,0.2792677,0.34435734,0.41271198,0.47525224,0.5221649,0.54422307,0.53657126,0.50616354,0.46700814,0.4344035,0.41309443,0.40096918,0.39301512,0.3886517,0.38901806,0.39451835,0.40385857,0.4151069,0.42718685,0.43837604,0.44686878,0.45068717,0.44893754,0.44139245,0.42720914,0.40525398,0.37493047,0.33929622,0.30413112,0.27623618,0.2599031,0.2579457,0.2721456,0.3030587,0.34625313,0.39279184,0.43460938,0.47124234,0.5098948,0.55318433,0.5911948,0.60307914,0.5786677,0.5280425,0.47769558,0.447165,0.43917212,0.44218206,0.4446194,0.4422927,0.43793213,0.43566716,0.43626916,0.43761793,0.43774256,0.4367425,0.43704382,0.44043246,0.45019665,0.46790338,0.49293408,0.5166281,0.5273884,0.51827806,0.49366474,0.46496436,0.44109353,0.4238198,0.41045535,0.39727476,0.38282263,0.36723056,0.35471773,0.34875366,0.34911323,0.3474991,0.335295,0.3103957,0.28255144,0.26541376,0.26781833,0.28708062,0.31297603,0.3359202,0.3524977,0.3646818,0.37391746,0.380754,0.38566968,0.3912727,0.397401,0.40092203,0.39979354,0.40040922,0.41572896,0.4503957,0.49284002,0.5176088,0.5111417,0.47876617,0.44358072,0.41962847,0.40594503,0.38696018,0.35249868,0.3054867,0.26173422,0.23612022,0.23250197,0.24375458,0.26057744,0.28096762,0.31053483,0.3562523,0.41754267,0.48232356,0.5322468,0.5520802,0.53928703,0.5035626,0.45952818,0.41758418,0.38124624,0.3515124,0.33068204,0.32146427,0.32416797,0.33447114,0.34677458,0.353928,0.3515202,0.33769783,0.3190998,0.30531028,0.30436802,0.31283817,0.3218837,0.32326567,0.31810424,0.3110015,0.3072906,0.30862913,0.3167384,0.33139613,0.35047412,0.36863458,0.38172877,0.39057145,0.4024086,0.4259622,0.46437088,0.5083049,0.5410106,0.54747707,0.52976876,0.50226176,0.48204866,0.4704069,0.45617318,0.42375955,0.36847064,0.298229,0.23065996,0.18289022,0.16240273,0.1640688,0.17659003,0.1956651,0.22775005,0.2809637,0.35262206,0.4248344,0.4778103,0.4990284,0.49341235,0.47380626,0.45492864,0.4401249,0.42413363,0.39795968,0.35963836,0.315747,0.27904907,0.26060364,0.26414227,0.28207186,0.2997659,0.3029573,0.28790304,0.26204216,0.2394102,0.22927411,0.23188043,0.240026,0.24788956,0.25751814,0.275686,0.3058342,0.33929506,0.36179435,0.36297724,0.34627545,0.32570288,0.31937298,0.34129587,0.3941593,0.46312097,0.5199079,0.5371253,0.51010925,0.45735446,0.40816697,0.3757286,0.35448897,0.32693592,0.2839732,0.22830509,0.17212403,0.1258971,0.094092675,0.07620313,0.07342305,0.092946894,0.1438473,0.22636558,0.3279085,0.42588648,0.50183016,0.54320306,0.55091757,0.5330746,0.507068,0.48618758,0.4761865,0.47290385,0.47057602,0.46669492,0.46245828,0.4601455,0.46072432,0.4625462,0.4631138,0.45923385,0.45043764,0.43762088,0.4251764,0.4165138,0.4128195,0.4087566,0.39712334,0.37299207,0.34157038,0.3151239,0.30752626,0.32137692,0.34788823,0.3718313,0.38588914,0.39407682,0.4096574,0.44408736,0.49678245,0.5499341,0.5761551,0.55888265,0.5065394,0.44785714,0.40989736,0.40168574,0.41434202,0.43220314,0.44355193,0.44419098,0.4374573,0.4301574,0.42803344,0.4321262,0.43890992,0.4451764,0.45158848,0.46290496,0.4828314,0.5070584,0.52467245,0.52222246,0.4977328,0.4587889,0.41992894,0.38708758,0.3602824,0.3356171,0.31435302,0.29826775,0.28873166,0.28470078,0.286023,0.2912223,0.29501596,0.28922686,0.2675837,0.230816,0.18497288,0.13876583,0.09910846,0.07174432,0.061195742,0.07323713,0.11031932,0.16750382,0.22818327,0.27363577,0.29317665,0.29194167,0.2839782,0.28495115,0.3054506,0.34980586,0.40907684,0.46293536,0.4856335,0.46922946,0.42597833,0.38435712,0.36177525,0.35969415,0.36331478,0.36101016,0.3507689,0.3420787,0.34381226,0.35520434,0.36466894,0.36044666,0.34368217,0.3305825,0.3400837,0.38009715,0.43977904,0.5004403,0.54245526,0.55828816,0.548577,0.5221947,0.48531386,0.44030285,0.38676748,0.327729,0.2711565,0.22713383,0.20384991,0.20610385,0.23276852,0.27614203,0.32082132,0.35121036,0.35851917,0.34623075,0.3244622,0.30195478,0.2811842,0.26188377,0.24719805,0.2451701,0.2625628,0.29774442,0.33902097,0.37250605,0.38986298,0.3915719,0.3846576,0.38059917,0.39342606,0.43060747,0.4835628,0.52751166,0.5391948,0.51621217,0.47702813,0.44456074,0.42551598,0.41075674,0.3851349,0.34462157,0.29796997,0.2608377,0.24217685,0.2403266,0.2475748,0.2596636,0.27793458,0.30652532,0.3452927,0.39336503,0.4448335,0.4941891,0.5268567,0.53483075,0.5154359,0.48115507,0.44029483,0.39696455,0.34900698,0.3017943,0.26552373,0.25026307,0.25731668,0.2808868,0.30875003,0.32728183,0.3234002,0.29460683,0.24813706,0.20007582,0.16297293,0.14526635,0.14833972,0.17073846,0.20767073,0.2533199,0.30252007,0.34970102,0.38989985,0.41713014,0.4282492,0.42290094,0.4090549,0.40111473,0.4165013,0.4585655,0.5118931,0.5460734,0.5429326,0.5070073,0.46409044,0.43439507,0.42045292,0.40688562,0.38016966,0.34021994,0.30126265,0.278165,0.27632892,0.289724,0.3096973,0.33069608,0.3537353,0.38103303,0.41495755,0.4530165,0.48887214,0.5119433,0.513732,0.4950209,0.46622524,0.44208714,0.43008032,0.429791,0.43408087,0.43727365,0.43629408,0.43374717,0.43346035,0.43823743,0.44511196,0.44793665,0.4409823,0.42364863,0.40143892,0.38270292,0.37332058,0.37098908,0.36629078,0.3503412,0.32443357,0.30100122,0.29446113,0.30977443,0.33994827,0.37231433,0.39805827,0.41708925,0.43688333,0.46673965,0.50755525,0.5487673,0.5717573,0.5668638,0.5395867,0.5081518,0.4857055,0.47455132,0.4682844,0.46281227,0.45773712,0.4540182,0.45042324,0.44582734,0.4407055,0.43675217,0.43348965,0.42959818,0.4252979,0.42589185,0.4375435,0.4603505,0.4849389,0.49688888,0.48984686,0.4668297,0.43709624,0.40272835,0.36186633,0.31237552,0.26041272,0.21572328,0.18825598,0.18362449,0.2015825,0.23449773,0.2674235,0.2866157,0.28510085,0.2666964,0.23906137,0.2104602,0.18674916,0.1723767,0.1711271,0.18604906,0.21881904,0.2650578,0.3137815,0.35102406,0.36892128,0.3684912,0.35901764,0.35307527,0.36426008,0.39905858,0.4496882,0.4946835,0.51237375,0.49922588,0.46985435,0.4463203,0.43718234,0.43499807,0.42111585,0.38473156,0.33262682,0.28807926,0.27232063,0.2878168,0.31731442,0.3385048,0.33906046,0.31881887,0.2852517,0.24854581,0.22044356,0.2090389,0.21383254,0.22334486,0.22444476,0.2119086,0.19552352,0.1912265,0.2105027,0.24913317,0.29300034,0.32641798,0.3436542,0.3459386,0.33758005,0.31856495,0.2888969,0.25194052,0.21868326,0.19998102,0.20016377,0.21278012,0.22781743,0.23753802,0.2407227,0.23937272,0.23675947,0.23335452,0.2276066,0.2164581,0.20094116,0.1858579,0.17728896,0.17510898,0.17340921,0.16524641,0.15008354,0.13257852,0.118563294,0.10975657,0.10604965,0.106250875,0.11081273,0.1188192,0.12793326,0.13270764,0.12933359,0.11960903,0.112719126,0.117732584,0.13566837,0.15765017,0.17244637,0.17408787,0.16395609,0.148205,0.13456605,0.13030247,0.1386569,0.15712155,0.17845476,0.1951772,0.2026711,0.19928563,0.18620862,0.16662107,0.14532954,0.1258807,0.10938034,0.095163785,0.083011605,0.07445887,0.070971675,0.072326,0.07532213,0.07620597,0.07262832,0.065324225,0.05671805,0.0495051,0.045261864,0.044478897,0.046867803,0.051556807,0.05715629,0.061733767,0.06358496,0.061897337,0.057294477,0.051245045,0.045361623,0.04070365,0.037731882,0.036363214,0.03619248,0.03661372,0.03712502,0.038536318,0.044294637,0.06069793,0.092479646,0.13738541,0.18385978,0.21642798,0.22451591,0.20800568,0.17835152,0.15319894,0.14861317,0.1695388,0.2071834,0.2464788,0.275921,0.29289007,0.29723546,0.28765568,0.26200145,0.2249679,0.18803823,0.16329074,0.1542988,0.15653394,0.16357028,0.17364232,0.18665226,0.19989526,0.20556574,0.19854383,0.18187545,0.1679961,0.16800757,0.18357736,0.20409332,0.21655375,0.2131915,0.19644357,0.1738915,0.15524308,0.14739437,0.15226693,0.16430928,0.17373835,0.17474727,0.17148864,0.17526112,0.19408369,0.22504501,0.25668198,0.27703664,0.28076184,0.26941416,0.24883758,0.2258658,0.20625083,0.19301502,0.18602,0.18346478,0.18433785,0.18872245,0.19603938,0.20335795,0.20716487,0.20579158,0.2005678,0.19398038,0.18892871,0.18770601,0.19083516,0.1951003,0.19400744,0.18334691,0.1651587,0.14927296,0.145314,0.15751706,0.18071981,0.20550226,0.22161819,0.22236083,0.20576607,0.17599605,0.14147912,0.11047112,0.087287724,0.07174714,0.06227042,0.05775115,0.05779021,0.06088509,0.064237684,0.06482896,0.061351907,0.054709017,0.04707187,0.0404267,0.036002755,0.034438863,0.036242846,0.041275803,0.04836764,0.05497584,0.05862793,0.057988673,0.053715393,0.04742065,0.04083286,0.03503273,0.030612642,0.027835054,0.026838355,0.027630948,0.03033597,0.03626874,0.049443793,0.07604281,0.11986852,0.1773506,0.2376857,0.28972757,0.32766655,0.34974363,0.35362375,0.33565846,0.29788616,0.25153738,0.21500988,0.2018186,0.21389127,0.23984332,0.2654376,0.2812381,0.2876331,0.28755617,0.28192022,0.26762012,0.24727578,0.23116581,0.2324357,0.25250652,0.28110674,0.30394006,0.3161348,0.31951064,0.31813097,0.3118157,0.300099,0.2826577,0.2601298,0.2328047,0.2036948,0.18012996,0.17067094,0.1785962,0.19909161,0.223006,0.24194837,0.2501131,0.24388285,0.22340536,0.19449437,0.16807306,0.15389979,0.1557977,0.16963334,0.18851978,0.2057664,0.21631986,0.21448784,0.19692637,0.166932,0.13717677,0.12181593,0.12709521,0.14557384,0.16360211,0.17044991,0.16442308,0.1498764,0.13324273,0.12080652,0.117676966,0.12528796,0.13931192,0.15164061,0.15693182,0.15679294,0.15850733,0.16815896,0.18479943,0.20163918,0.21106099,0.2121288,0.20878871,0.20691508,0.20847744,0.2140997,0.2245121,0.24121076,0.26283446,0.28404143,0.29786602,0.2992926,0.28760442,0.26655257,0.24332148,0.22534887,0.21626978,0.21425714,0.21382761,0.21069652,0.204217,0.19761042,0.19439478,0.19572623,0.1989051,0.19868203,0.19012015,0.17129244,0.1451424,0.117602766,0.094317816,0.077354014,0.06550789,0.05660825,0.049514372,0.044500377,0.04233278,0.043372676,0.04698352,0.05144526,0.054910455,0.05623566,0.055679977,0.054077532,0.052035037,0.049865007,0.04917449,0.054582108,0.071912825,0.103993006,0.14683421,0.19208872,0.23093688,0.25666937,0.2639829,0.25142395,0.22492325,0.1972682,0.18072163,0.1788218,0.18559676,0.19024192,0.18538631,0.16953127,0.14834183,0.1289311,0.118074596,0.11713391,0.12285459,0.12786375,0.12740315,0.12359452,0.12389853,0.1336733,0.15014125,0.16508462,0.17151897,0.16953565,0.1645317,0.16236563,0.16373868,0.16605143,0.16718078,0.17008358,0.17870474,0.19356246,0.2079738,0.21292962,0.2031581,0.18175392,0.15780923,0.13980877,0.13155742,0.13214813,0.14097156,0.15705653,0.17720217,0.19287522,0.19519252,0.18197078,0.16108154,0.14711596,0.15030189,0.17084084,0.19682206,0.21482927,0.21670787,0.205523,0.19052428,0.18199128,0.18431252,0.19468437,0.20616627,0.21324907,0.215052,0.21397781,0.21343662,0.21612076,0.22311129,0.23273629,0.24133523,0.24587567,0.24643011,0.24481189,0.24179767,0.23497035,0.22113325,0.19905876,0.17181952,0.14487706,0.12333393,0.10922903,0.1016891,0.098567076,0.0979594,0.09834987,0.09812076,0.09580203,0.09097902,0.084794246,0.07929009,0.07620752,0.07601914,0.0778944,0.08018909,0.08147392,0.08104762,0.07914063,0.077077106,0.07808883,0.08824631,0.113951124,0.15695675,0.20979142,0.2590184,0.29438737,0.31546494,0.329762,0.34231982,0.3507974,0.3458983,0.32175043,0.28016838,0.23413245,0.20034093,0.19436568,0.22055554,0.27118218,0.32815704,0.37433705,0.39942738,0.40148655,0.3817444,0.34374157,0.2943566,0.24469219,0.20499383,0.18083082,0.17197384,0.17732172,0.19566782,0.22550441,0.26037812,0.2915515,0.31089067,0.31683856,0.31239095,0.30152535,0.2848918,0.26209557,0.23652814,0.21756859,0.21505672,0.23162687,0.2588787,0.28418186,0.2982186,0.29965892,0.28999588,0.27009746,0.23967159,0.2020394,0.16539687,0.1395058,0.13082838,0.13849242,0.15723108,0.18042397,0.20577796,0.23107068,0.2515416,0.2588749,0.25147566,0.2387315,0.23594528,0.24979115,0.2740382,0.29495654,0.30347162,0.2974042,0.281458,0.26297492,0.2539623,0.2647358,0.299073,0.34607843,0.38911772,0.4141772,0.41978136,0.41082135,0.3945551,0.37592292,0.35964835,0.34878445,0.34408447,0.343623,0.34524378,0.34715447,0.34736243,0.342237,0.32897666,0.30752197,0.28291035,0.26231465,0.25383672,0.26154378,0.2837565,0.31040755,0.32860997,0.3294524,0.31479856,0.29573438,0.28563523,0.29111028,0.3069485,0.31936872,0.31491885,0.28950632,0.249658,0.20714253,0.17195754,0.14840084,0.13565758,0.13106392,0.13422865,0.14879107,0.1770612,0.21443053,0.24731855,0.26450816,0.26543665,0.26182008,0.26522756,0.27906692,0.29712746,0.31064287,0.31355035,0.3061199,0.2946541,0.2899306,0.30049124,0.32819578,0.36473253,0.39821783,0.41865027,0.42438778,0.41876176,0.40710688,0.39262557,0.37757218,0.36455512,0.35692513,0.3573475,0.3653287,0.3770887,0.3867619,0.38877594,0.37948558,0.35856023,0.33062243,0.30492845,0.290985,0.2920045,0.3015475,0.30951998,0.31077385,0.30980304,0.31404927,0.32688013,0.34420565,0.360504,0.3721769,0.38051286,0.3875014,0.39521846,0.4020981,0.4060341,0.4046317,0.3993692,0.39305484,0.38907805,0.38693523,0.38350737,0.37428018,0.35862625,0.3401512,0.32458436,0.31417456,0.30700052,0.300315,0.29437053,0.29178214,0.29373205,0.29951084,0.3081808,0.32109043,0.3395393,0.361811,0.3816521,0.39114067,0.3863028,0.37219158,0.36244228,0.37311208,0.40692648,0.44948447,0.47374794,0.4674438,0.44087943,0.42265272,0.4323449,0.46805596,0.5089858,0.53054297,0.52194744,0.4909449,0.4605917,0.45170593,0.46855673,0.49592018,0.5106501,0.50244623,0.48041102,0.46633753,0.47336042,0.49475965,0.5089348,0.496931,0.46011427,0.41872418,0.39974096,0.41448557,0.45169666,0.48363066,0.48690072,0.45790336,0.4114318,0.36917523,0.3433274,0.33618656,0.33852497,0.33880815,0.32405463,0.29169652,0.25153118,0.22513412,0.22893067,0.261292,0.30052432,0.32336017,0.3243545,0.3225979,0.3416915,0.38895866,0.44454107,0.48271918,0.48897192,0.47078064,0.4412472,0.41087458,0.38234523,0.35783657,0.34034833,0.33362088,0.33938584,0.35487306,0.3714119,0.3769783,0.36354372,0.3350068,0.30520386,0.28895465,0.29038987,0.30342162,0.31768298,0.32740486,0.33242545,0.3363169,0.34210876,0.3500644,0.3582658,0.36495498,0.3707197,0.37654147,0.38238835,0.3885152,0.3989683,0.42051426,0.45280185,0.48443356,0.49712715,0.48444128,0.45449042,0.42481017,0.40314928,0.38599643,0.36162055,0.32386038,0.27666852,0.23574221,0.21735464,0.22777325,0.2568189,0.28891706,0.31466758,0.33854818,0.3669691,0.4027849,0.43686986,0.4600171,0.46201575,0.44390276,0.41220275,0.380358,0.3555031,0.33662918,0.31730282,0.29410967,0.27024406,0.25136286,0.24251778,0.24617565,0.2610887,0.28053403,0.29155377,0.28201735,0.24735099,0.19536543,0.14065485,0.09656799,0.06979739,0.06188874,0.07569433,0.11526799,0.18112469,0.26140156,0.33596405,0.38596615,0.40651715,0.40516773,0.3978758,0.3990499,0.41925958,0.45486686,0.49075845,0.5043446,0.4878223,0.45142782,0.41858098,0.40326715,0.40363285,0.40569663,0.3974156,0.37465227,0.34130776,0.30468968,0.27449486,0.25991032,0.26765022,0.29703033,0.3417863,0.39319232,0.444899,0.4916793,0.5269993,0.54362607,0.5380053,0.5163233,0.4901123,0.46956578,0.45538643,0.44368517,0.43148983,0.42058706,0.41362485,0.4110063,0.4115382,0.4139975,0.4180014,0.4218686,0.42377928,0.42202917,0.41745558,0.41093186,0.40368822,0.3954443,0.3869855,0.3797141,0.37668815,0.3799759,0.38944754,0.40203366,0.41402516,0.42337644,0.42991224,0.43507648,0.44149384,0.45319864,0.4718453,0.49162328,0.5008132,0.49006304,0.46392918,0.4363799,0.42162868,0.42098442,0.42739764,0.43049815,0.42638776,0.41616654,0.40543294,0.39819887,0.39570606,0.3960891,0.39807963,0.40305078,0.41449094,0.43404496,0.46015254,0.48495373,0.5008816,0.500183,0.486119,0.4656932,0.45028296,0.44141126,0.43552065,0.42540315,0.40908504,0.3881787,0.36692253,0.35002804,0.34133407,0.34049353,0.3411562,0.33533216,0.3202299,0.3020347,0.2907746,0.29437903,0.31334004,0.34141505,0.3668735,0.3797013,0.3776436,0.3691055,0.3656536,0.37337136,0.38898793,0.40410778,0.41264394,0.4159665,0.42302296,0.44243288,0.4711845,0.49392292,0.4933611,0.46935725,0.43684578,0.41522384,0.40718684,0.4017379,0.38234296,0.34565794,0.30127454,0.26607853,0.24894525,0.24830945,0.25660148,0.27072462,0.29529476,0.33744788,0.3984081,0.46819115,0.52870345,0.5634169,0.5644192,0.5373742,0.4944912,0.45076928,0.41441035,0.38843498,0.3703313,0.35876682,0.35425058,0.35875008,0.36994743,0.38072288,0.38026962,0.3636706,0.33347547,0.3027695,0.28358653,0.28184235,0.29116645,0.30165365,0.30737793,0.30910993,0.31069732,0.3138579,0.32018864,0.331522,0.35017177,0.37548515,0.4021876,0.42390195,0.43819633,0.45073077,0.4690437,0.4923111,0.50958294,0.5087179,0.49185506,0.47106954,0.4586977,0.45245203,0.44204393,0.41554412,0.3698492,0.30953857,0.24755365,0.19903521,0.1745479,0.17361443,0.18836516,0.21390088,0.2534258,0.3111777,0.38241223,0.44992915,0.49619865,0.51109654,0.5015428,0.48140344,0.4663229,0.4585271,0.45091665,0.43181857,0.3982891,0.3573321,0.32210314,0.3030523,0.30213967,0.31191233,0.32029244,0.31757715,0.30236587,0.28032172,0.26018193,0.24702214,0.24134143,0.24043047,0.2436466,0.2551318,0.28096876,0.32255122,0.37129804,0.41280842,0.4352087,0.43530202,0.42139506,0.4090322,0.41724148,0.4507742,0.49659285,0.525556,0.5211117,0.4880346,0.45015812,0.42450774,0.41145387,0.3973291,0.36903608,0.32327676,0.26669988,0.21083355,0.16468458,0.13225397,0.11557249,0.11983255,0.15428834,0.2221638,0.3151715,0.4116708,0.49038514,0.53611,0.54688853,0.53076345,0.5029226,0.4783044,0.46420786,0.4609398,0.46364138,0.46818325,0.47148395,0.47260395,0.47261095,0.47225586,0.47192225,0.46939847,0.46369383,0.45481583,0.44580784,0.439999,0.43888792,0.44047412,0.43968907,0.4332801,0.42256388,0.41428483,0.41498625,0.4265088,0.44466588,0.46295825,0.477313,0.48924503,0.5048428,0.52931136,0.55782264,0.5749634,0.5642379,0.5253933,0.47635832,0.44082868,0.42923138,0.4352785,0.44515958,0.4495562,0.4469774,0.4403738,0.43352303,0.42881772,0.42674378,0.42526653,0.4216081,0.4165492,0.41461313,0.4238081,0.4458613,0.4751296,0.49546114,0.49368194,0.46792528,0.43123266,0.3996257,0.3783071,0.3625646,0.34486404,0.3251815,0.3069502,0.29456183,0.28969094,0.29123163,0.29383817,0.28754202,0.265295,0.22722106,0.18247312,0.14035001,0.1064843,0.08288069,0.073141925,0.085239716,0.1253891,0.19157173,0.26721475,0.33124483,0.36786893,0.3767897,0.36805728,0.35862088,0.36468887,0.3974649,0.4499227,0.49866882,0.5139926,0.48848245,0.439633,0.4004852,0.38867185,0.40046373,0.4151125,0.41679776,0.40249494,0.38253108,0.36812797,0.36333385,0.36232436,0.3583473,0.35121742,0.3511547,0.36759508,0.4043601,0.4513565,0.49639,0.5242355,0.53100467,0.5177459,0.49383244,0.4621637,0.42144918,0.36823592,0.30787447,0.25235897,0.21450156,0.2001708,0.20945023,0.2360174,0.27027056,0.2982281,0.31068873,0.30497995,0.2880465,0.26674107,0.24521033,0.2238872,0.2064149,0.20246758,0.22175877,0.26557228,0.32017407,0.36675754,0.39150825,0.39522222,0.3877451,0.38395515,0.39633787,0.43132308,0.48019716,0.5225101,0.5361895,0.51785856,0.48142183,0.44870207,0.42788884,0.41352907,0.3910643,0.35374093,0.30619887,0.2633561,0.23731919,0.23024476,0.23572443,0.24795419,0.2670294,0.29524735,0.33171964,0.37368336,0.41666076,0.45544097,0.4782733,0.47791743,0.4574411,0.4333715,0.41837618,0.41164005,0.40261018,0.3839549,0.35940006,0.33750463,0.32562426,0.32468298,0.3293784,0.32945347,0.31389135,0.27947685,0.2325591,0.18645577,0.15158832,0.13393174,0.13531978,0.1567864,0.19723326,0.25201258,0.31216165,0.36539838,0.4011631,0.41510317,0.41209054,0.4024057,0.39864755,0.4116319,0.4466202,0.49497354,0.53576475,0.5466225,0.52437526,0.48539773,0.45354357,0.43687668,0.4259396,0.4035122,0.36352134,0.31568006,0.27803734,0.26279354,0.26919344,0.2883211,0.31186664,0.33720815,0.36633155,0.40094626,0.44268346,0.48755565,0.5292253,0.55490226,0.5587015,0.5420597,0.5180703,0.49757054,0.48572287,0.47994187,0.47702125,0.47537923,0.4756337,0.47840163,0.48326445,0.48780346,0.48872045,0.48365065,0.47257397,0.45800623,0.4436433,0.4337239,0.43067196,0.43341509,0.43691483,0.43587437,0.42963228,0.4229958,0.42322144,0.43385625,0.45346224,0.4757364,0.49544835,0.51161605,0.52890503,0.55054355,0.57025075,0.5743566,0.55237776,0.5116052,0.47025064,0.44580972,0.43890858,0.44053409,0.43990758,0.4356761,0.4311694,0.43065858,0.43342674,0.4362595,0.43581188,0.43216467,0.4295063,0.43381467,0.45027748,0.4786326,0.51135224,0.5348895,0.5353193,0.5094787,0.4649781,0.4162613,0.36958447,0.3243705,0.27759895,0.23330897,0.20016043,0.18603927,0.1945272,0.2217257,0.25776616,0.2863283,0.2951409,0.27946934,0.24691398,0.2084104,0.17552368,0.15481144,0.15073825,0.16603987,0.20240128,0.25701845,0.31878805,0.37208304,0.40387455,0.41191563,0.40334484,0.39237761,0.3944477,0.42142752,0.46916723,0.51769525,0.5392898,0.52415043,0.48287737,0.43945375,0.40564522,0.37963855,0.35142598,0.3193432,0.28949034,0.27024755,0.26219243,0.2592235,0.25491604,0.25118494,0.2575085,0.28497544,0.33543906,0.401677,0.4657689,0.5114341,0.52336067,0.5012439,0.45168605,0.39047945,0.32739207,0.26922938,0.21786173,0.17465563,0.13985938,0.11474208,0.104795724,0.11531526,0.14399518,0.17524604,0.18964775,0.17665814,0.14200495,0.10055312,0.06555024,0.042792737,0.033638243,0.041196544,0.07213926,0.13011056,0.2081583,0.28730276,0.3474854,0.3779062,0.38104174,0.36992446,0.36259922,0.37830564,0.42165086,0.47818217,0.5162956,0.51647836,0.4829156,0.4408824,0.40849516,0.38433936,0.3524109,0.3016294,0.23579764,0.16961575,0.118215136,0.0901986,0.087172,0.10684665,0.145185,0.20049387,0.26995686,0.35102442,0.43227664,0.5005273,0.53934544,0.5446903,0.522885,0.49046275,0.45833334,0.42608216,0.38592505,0.33422267,0.27861184,0.23279987,0.20836169,0.20892267,0.22765172,0.25092992,0.2628688,0.25733495,0.23897325,0.21993856,0.20763755,0.20268749,0.20239788,0.20768581,0.22496168,0.2599182,0.31124273,0.3661404,0.40835384,0.42703584,0.42397392,0.4108195,0.40345168,0.4161516,0.45338258,0.50343543,0.54106045,0.5436029,0.5109342,0.46346867,0.42673138,0.40690565,0.39417925,0.3724182,0.3381804,0.29728484,0.26014924,0.23127566,0.21072464,0.19749808,0.19382411,0.2064328,0.24040703,0.29638484,0.3655496,0.4333328,0.48141074,0.49536264,0.47373334,0.43026626,0.3878871,0.36248246,0.3576242,0.36678946,0.38209784,0.3979999,0.41120592,0.42052612,0.4255413,0.42693698,0.4256411,0.4241846,0.4248055,0.42878473,0.43417,0.43832088,0.43846712,0.43382034,0.42540562,0.41682371,0.41321266,0.41700852,0.42659494,0.43648258,0.44401228,0.44976106,0.4587766,0.4750252,0.50081605,0.529428,0.5485582,0.5437655,0.51555073,0.47675765,0.44740188,0.43445632,0.43409196,0.43494427,0.43199906,0.4254059,0.41996518,0.41837534,0.41976988,0.41961077,0.41347837,0.40308034,0.39566013,0.40144077,0.42474136,0.4598913,0.49157044,0.50132614,0.48303303,0.44438335,0.4033859,0.36717603,0.33187518,0.2877862,0.2357846,0.18650146,0.15415476,0.14725612,0.16454123,0.19456385,0.21832158,0.21912633,0.19181383,0.14628181,0.0991987,0.06329569,0.043010265,0.038413823,0.05249691,0.09063071,0.1543094,0.23315154,0.30829185,0.36215433,0.38852456,0.3916398,0.38418475,0.381802,0.40140104,0.44521284,0.49792376,0.52907175,0.5228454,0.4856607,0.44263136,0.40822044,0.37972978,0.34221673,0.2887412,0.22419113,0.1622271,0.11494764,0.09037611,0.09076655,0.11482348,0.15764137,0.21482266,0.28066972,0.35204008,0.4202948,0.47602034,0.5030401,0.4955481,0.45792857,0.40928924,0.36330548,0.32379255,0.28585982,0.24930905,0.22054596,0.20692445,0.21004789,0.22446446,0.24101062,0.25006798,0.2470029,0.23407419,0.2193253,0.2094863,0.20623338,0.20650631,0.20798562,0.21258886,0.22652179,0.25479302,0.29580656,0.3395668,0.37377766,0.39069954,0.3909439,0.38267434,0.37863064,0.39231625,0.42695546,0.47045907,0.4986923,0.49574196,0.4655744,0.4279381,0.398663,0.37735617,0.35243955,0.3151754,0.26844954,0.22297274,0.18827222,0.16725142,0.15737468,0.15693311,0.1676095,0.19588853,0.24465859,0.3130326,0.38837254,0.45455384,0.49097243,0.4895333,0.456828,0.41389203,0.37770927,0.34959248,0.3196977,0.2801628,0.23622231,0.20021816,0.1833241,0.18759431,0.20504825,0.22134893,0.22147162,0.19959901,0.16031426,0.11659399,0.07920056,0.05372526,0.04098027,0.042840768,0.06412091,0.10796482,0.17040932,0.23824926,0.29660687,0.335657,0.3538514,0.35793957,0.36120823,0.381049,0.42421675,0.47834906,0.5142259,0.51047456,0.4709928,0.4208282,0.38280734,0.3589246,0.3351866,0.29714,0.24356963,0.1851434,0.1377937,0.11431501,0.11990068,0.1510322,0.19783151,0.25211748,0.3093556,0.37201706,0.43638587,0.493246,0.5229171,0.51719207,0.48214793,0.44130555,0.4126906,0.40192756,0.40126923,0.4024866,0.4017072,0.39995262,0.4000063,0.4040002,0.41165984,0.41983327,0.42465103,0.42433918,0.4196312,0.41292533,0.40597466,0.39992055,0.3945183,0.38885605,0.3826557,0.37725985,0.375955,0.38110375,0.3927641,0.40788138,0.42189074,0.43275917,0.4435155,0.4624999,0.49328065,0.52729195,0.5451725,0.53342116,0.49759987,0.4581835,0.4336237,0.42690668,0.42969847,0.43305406,0.43480304,0.4371959,0.44216797,0.44926503,0.4558438,0.45904103,0.45516086,0.44488278,0.43226078,0.42984343,0.44373766,0.47157896,0.49263287,0.4897522,0.45802435,0.41253555,0.36893043,0.3314475,0.29336533,0.24904895,0.2027812,0.1632712,0.13667387,0.12158521,0.1130056,0.10604867,0.09863267,0.09053161,0.08231765,0.074475706,0.06731377,0.0609512,0.055390816,0.050546665,0.04627711,0.042385984,0.038678378,0.035022195,0.031357862,0.027666518,0.023943314,0.020241937,0.016706392,0.013529514,0.01085497,0.008693764,0.0069543687,0.005509114,0.0042800056,0.003235517,0.0023729114,0.0016825144,0.0011496845,0.00075697136,0.00048454534,0.00030700042,0.0001968632,0.00013410169,0.000109724926]