[0.13093993,0.14737946,0.17994563,0.21442543,0.24082161,0.25987783,0.27557102,0.2861944,0.28059986,0.25098354,0.20339231,0.15673696,0.12710963,0.116232835,0.11414042,0.11134664,0.10780838,0.111990154,0.13321887,0.17388792,0.22567236,0.27378502,0.30452666,0.3115463,0.2946801,0.25779817,0.20800419,0.156391,0.113907926,0.08545897,0.06900292,0.061218243,0.063332,0.078431785,0.10558591,0.13674031,0.16283806,0.17955816,0.18918133,0.19503422,0.19802915,0.19673336,0.1914826,0.18625253,0.18566918,0.19123651,0.19906282,0.20406522,0.20280884,0.19559006,0.18388535,0.16996098,0.15686612,0.14932553,0.15145965,0.16407186,0.18257482,0.19942355,0.20721251,0.20203616,0.18363307,0.15513156,0.12148812,0.088160165,0.0593908,0.037519004,0.022882717,0.014490787,0.010650352,0.009766333,0.010635786,0.0125061,0.015491928,0.021236544,0.033247363,0.05414747,0.08280922,0.11258917,0.135677,0.1474544,0.14943254,0.14615183,0.14200784,0.1390241,0.13761526,0.13740946,0.1379035,0.13848867,0.13880266,0.1388001,0.13914682,0.14088504,0.1451142,0.15164,0.1585415,0.16280125,0.16254115,0.15821463,0.15173863,0.14509816,0.14008014,0.13988389,0.14783774,0.16476583,0.1861844,0.20590787,0.22112423,0.2338854,0.24593383,0.25317183,0.24813868,0.22687341,0.19400533,0.15919901,0.13088275,0.11306807,0.10680122,0.11253965,0.12918873,0.15230727,0.17375141,0.18462928,0.17878707,0.15595914,0.12283998,0.09193736,0.07610298,0.08167902,0.105021216,0.13528514,0.16232598,0.18084358,0.19076252,0.192028,0.18367197,0.1647345,0.13786347,0.10861173,0.08256199,0.06250916,0.048312843,0.038617622,0.032242082,0.029316941,0.031786647,0.042189185,0.061197,0.085074656,0.10745579,0.12263485,0.12920223,0.12906985,0.12540834,0.120203994,0.11436977,0.10832622,0.10276126,0.09847026,0.09601902,0.09532562,0.09576261,0.09648284,0.09686976,0.09666717,0.09637612,0.097554244,0.103116125,0.115246356,0.13348323,0.15301223,0.16781646,0.17344971,0.16952842,0.15773803,0.14014515,0.11827695,0.09390655,0.070004344,0.05082956,0.041892793,0.049080696,0.07450602,0.113149285,0.1516903,0.17863683,0.19145285,0.19837274,0.20534736,0.20998937,0.20470303,0.19003345,0.17783695,0.18331583,0.212925,0.2589489,0.30554935,0.33669963,0.3460615,0.33576843,0.31350687,0.2839664,0.24922912,0.21060747,0.17270009,0.14136226,0.12060312,0.11038113,0.10817122,0.11081958,0.11565291,0.12035247,0.1233748,0.12426052,0.123323925,0.12173092,0.12173441,0.12800777,0.14492734,0.17409211,0.20978124,0.24266887,0.2630062,0.26765013,0.2580748,0.2400497,0.21872151,0.19924714,0.18336739,0.17080106,0.15898365,0.14739968,0.13606447,0.12460636,0.110168844,0.090974025,0.06884407,0.048878532,0.036499448,0.03451268,0.044221465,0.06424502,0.09045258,0.11300733,0.1216906,0.111930855,0.09152991,0.07488644,0.073182136,0.08576298,0.103019655,0.11503511,0.11852787,0.11616554,0.11091768,0.10258192,0.09007881,0.076515056,0.07023368,0.07991594,0.107664905,0.14748576,0.18870468,0.22221845,0.24220836,0.24628489,0.23406632,0.20877282,0.17712104,0.14781184,0.12740377,0.1182758,0.118115924,0.12204533,0.124864794,0.1244696,0.12313032,0.12587188,0.13642447,0.15437202,0.17665935,0.20003943,0.22378387,0.24856685,0.27563646,0.3035573,0.32767308,0.3407321,0.33706236,0.31494987,0.27656516,0.22681266,0.17278147,0.1236555,0.08738196,0.06701066,0.05916596,0.057403684,0.056783944,0.056375325,0.058192942,0.06513087,0.07847672,0.09754255,0.11863711,0.13740653,0.14983352,0.15523612,0.15500164,0.15197556,0.1477533,0.1428969,0.13724262,0.13136083,0.12650661,0.12378096,0.12322534,0.12371441,0.12396907,0.12323329,0.12159219,0.11943055,0.11710873,0.11479419,0.11258778,0.11065247,0.1091579,0.10832957,0.1084219,0.10994977,0.113609545,0.11969183,0.1272261,0.13408065,0.13860954,0.14122802,0.14382622,0.14803672,0.15479916,0.16623001,0.18588184,0.21596329,0.25365236,0.29101184,0.31865636,0.3301979,0.3247827,0.30683348,0.28319082,0.2595457,0.23826802,0.21923982,0.20126314,0.18280339,0.16190453,0.13736333,0.110545136,0.08568203,0.067887425,0.05990431,0.060842562,0.06658863,0.072094955,0.073491216,0.070779435,0.06937929,0.07858971,0.10605905,0.15050642,0.2000552,0.2374816,0.25143963,0.24205929,0.21952792,0.19479309,0.17425615,0.15855105,0.14656754,0.13725781,0.13037257,0.1256046,0.12240533,0.11990019,0.11723626,0.11391082,0.10988105,0.10493166,0.09889098,0.09211281,0.08655552,0.08457919,0.08740177,0.09382847,0.101580136,0.109160334,0.11648414,0.12376976,0.12979384,0.13195524,0.1284657,0.121326305,0.11785796,0.12737218,0.15531684,0.19704986,0.23822163,0.26142094,0.25561035,0.22210275,0.1727075,0.123463,0.086099096,0.0644876,0.05572282,0.05543706,0.060736924,0.06968605,0.079298735,0.086081676,0.088445455,0.087456405,0.08570268,0.08563437,0.09021703,0.101874255,0.12005293,0.13846453,0.14791785,0.1428469,0.12582862,0.10569208,0.091020964,0.08531829,0.08635429,0.089111455,0.089470305,0.08615121,0.08051146,0.07443679,0.06890886,0.06383348,0.058985185,0.054485276,0.050567906,0.04714291,0.043852996,0.040387157,0.036742955,0.03310639,0.029691786,0.02671436,0.02441874,0.023077032,0.022735633,0.023320429,0.025006367,0.028687991,0.03512117,0.04334533,0.049935788,0.051002234,0.045312535,0.035297412,0.025011742,0.01705789,0.0118070105,0.008375286,0.0060665016,0.0045600566,0.00368814,0.0031977615,0.0028709292,0.0025868248,0.002334012,0.002127209,0.00198076,0.0018789774,0.0017907942,0.0016888105,0.0015868271,0.0015568539,0.0016628089,0.0021258404,0.0038623586,0.009210135,0.021367006,0.04211245,0.06925859,0.09676308,0.11819321,0.130413,0.13454717,0.13363391,0.13030829,0.12588908,0.1210004,0.11592487,0.11081516,0.106048845,0.10277762,0.10258599,0.10620617,0.112202674,0.117606916,0.12043185,0.12191538,0.12667657,0.13837634,0.15697072,0.17675062,0.1917619,0.19841643,0.19944948,0.20088874,0.20986517,0.22891502,0.25425985,0.2771066,0.2896227,0.2896323,0.28153232,0.27273878,0.26929548,0.2726488,0.27948272,0.28358543,0.27912596,0.26452103,0.2448119,0.23024452,0.2291923,0.24165232,0.2590505,0.27207756,0.27757418,0.27955714,0.28321943,0.29111767,0.30119982,0.31055704,0.31594536,0.3155358,0.30598405,0.28419924,0.24866699,0.20419203,0.16034347,0.12859717,0.11681605,0.12828064,0.1605018,0.20557944,0.25136968,0.28579286,0.3016131,0.29690945,0.2741044,0.23784524,0.1961143,0.15830977,0.13317783,0.12616165,0.13874732,0.16828007,0.20641388,0.24100025,0.25978854,0.25763938,0.23871909,0.21399514,0.19416462,0.18457057,0.18597175,0.1961744,0.21259247,0.22979559,0.24224573,0.24521954,0.23886524,0.22552405,0.20830055,0.18853663,0.16699642,0.1448061,0.123920284,0.10650635,0.09384084,0.08610844,0.08222293,0.08041363,0.07861795,0.07562643,0.071321584,0.06644044,0.06132956,0.05621266,0.051995162,0.051413238,0.05760783,0.0718215,0.09136034,0.110790156,0.124930225,0.13209389,0.13507491,0.1399039,0.15278818,0.17622244,0.20636828,0.23344576,0.24704742,0.24256419,0.22606194,0.21065862,0.20884226,0.22289668,0.24529596,0.26475677,0.2749553,0.27518997,0.26656508,0.24919961,0.22400175,0.19597167,0.17273742,0.16031289,0.1601546,0.17014815,0.1876955,0.20967495,0.23201156,0.24856973,0.25391498,0.24568725,0.2270511,0.20437254,0.1836278,0.16581535,0.14952537,0.1346801,0.12694848,0.13282645,0.15490432,0.18807209,0.22407685,0.25535047,0.27827656,0.29205337,0.2983644,0.30003595,0.30016196,0.3009095,0.3027186,0.30509248,0.30685678,0.30767336,0.3075581,0.3070722,0.30630898,0.3053535,0.30430773,0.30359414,0.30339196,0.30344513,0.3028102,0.30017394,0.29393074,0.2824932,0.26479843,0.24124461,0.21448897,0.18867923,0.1673383,0.15124176,0.13842268,0.12618038,0.113085546,0.09968541,0.08760685,0.07831552,0.07227116,0.06896797,0.067748904,0.06801475,0.06865952,0.06765923,0.06300818,0.05477643,0.04509613,0.036835756,0.03112717,0.027563045,0.024921553,0.022593334,0.020415083,0.018507374,0.016830824,0.015291219,0.013830305,0.0125339255,0.011535093,0.010827704,0.010245084,0.009562123,0.008704547,0.007797661,0.0071647684,0.007186584,0.00825178,0.010830469,0.015926853,0.02513946,0.03979185,0.059081603,0.079285614,0.095274895,0.103734784,0.10502851,0.10233268,0.0988603,0.096057646,0.09356693,0.09061724,0.08698842,0.08320763,0.07990811,0.07736177,0.07536938,0.07368519,0.072385095,0.07230576,0.07510958,0.08279569,0.09615483,0.11356372,0.1315955,0.14774132,0.162762,0.18000662,0.20232306,0.22895251,0.25572965,0.2773712,0.29027677,0.2933482,0.28764638,0.27625522,0.2638695,0.2557377,0.25464025,0.25917903,0.26416066,0.26388922,0.25567454,0.24151449,0.22700335,0.21756195,0.2149954,0.21715544,0.22083195,0.22615658,0.23634052,0.25520942,0.2815579,0.3095498,0.33088562,0.34043193,0.3371483,0.32320985,0.30151352,0.27410534,0.24292147,0.21022765,0.18099926,0.16164131,0.15828471,0.17250247,0.20012325,0.23264825,0.26093644,0.2791951,0.28607294,0.28405988,0.2766765,0.26688352,0.25688472,0.24860293,0.24426623,0.2450005,0.25034285,0.25734067,0.2621936,0.26135802,0.25318658,0.23789404,0.21718092,0.19319522,0.16769545,0.14221008,0.118844174,0.101492345,0.09529259,0.10487016,0.1311906,0.16944928,0.2095242,0.24006301,0.2542553,0.25193104,0.2374661,0.21477629,0.18647255,0.15501486,0.12513752,0.101965524,0.08870188,0.08409309,0.0836809,0.08252919,0.0792773,0.077261984,0.08201212,0.09657895,0.119670115,0.14767684,0.1775278,0.20640844,0.23020484,0.24359876,0.24373196,0.23269004,0.2173009,0.20450693,0.19817285,0.19768149,0.20097937,0.2064125,0.21379735,0.22281112,0.2328213,0.24267535,0.25151893,0.25862595,0.26429427,0.269734,0.27645716,0.28399312,0.28899205,0.28611028,0.27183202,0.24781184,0.22259243,0.20697261,0.20779121,0.22204374,0.24010177,0.2520171,0.25465998,0.2512007,0.24728882,0.2458374,0.24510443,0.2398942,0.22477615,0.19873889,0.16741252,0.14229392,0.13415475,0.14703624,0.17535532,0.20820741,0.23503049,0.24977756,0.2520573,0.24613625,0.23922265,0.23693608,0.2408496,0.2479877,0.2546995,0.25828353,0.25671685,0.24701782,0.22699793,0.19832487,0.16782677,0.14447662,0.13532753,0.14276277,0.16415788,0.19239849,0.21800883,0.23281503,0.23401533,0.22485346,0.21165527,0.19856761,0.18561585,0.17006624,0.15042002,0.12793526,0.10572377,0.08656392,0.07182406,0.06170919,0.05566524,0.05305591,0.05332793,0.056188542,0.060223583,0.06278481,0.060429927,0.052213002,0.0402102,0.028785074,0.02089165,0.017209822,0.01639677,0.016973518,0.017724708,0.017927842,0.017176641,0.015630754,0.0137573145,0.012058396,0.010642705,0.009342231,0.007920667,0.0064131157,0.00510698,0.0043941443,0.0045049,0.0053934064,0.0068321493,0.008929702,0.012902009,0.021416938,0.037222296,0.060682446,0.0879331,0.11247706,0.12879153,0.1352625,0.13371845,0.12699884,0.11740336,0.10652787,0.096028894,0.08744043,0.082184054,0.08132044,0.08529505,0.093095444,0.10190173,0.10837666,0.11126717,0.11316558,0.11947707,0.13403982,0.15539129,0.17641528,0.18967348,0.19289011,0.19121777,0.19338317,0.20627962,0.23065837,0.26133135,0.2900969,0.30996647,0.31627724,0.30598047,0.27767318,0.23455012,0.18674006,0.1472702,0.12576486,0.12341791,0.13654071,0.15904804,0.18586268,0.21067566,0.22940849,0.2402442,0.24624105,0.25103545,0.25827894,0.26896748,0.2824889,0.2958012,0.30520168,0.3074288,0.30093506,0.2853156,0.26190457,0.23408115,0.20756833,0.187241,0.17510611,0.16932692,0.16738866,0.16799504,0.17209108,0.18058111,0.19294667,0.20667158,0.21954322,0.23096842,0.24182706,0.25168723,0.25741628,0.254124,0.23945586,0.21650667,0.19445734,0.18324798,0.18835288,0.20619123,0.22717781,0.2409736,0.24320978,0.23602206,0.22522075,0.21470244,0.2046619,0.19260888,0.17791028,0.16350995,0.15467735,0.15365712,0.15740363,0.15933906,0.15580535,0.14901213,0.14691688,0.15636985,0.17868458,0.20516907,0.22190171,0.21645845,0.18808301,0.14972956,0.12239337,0.12151215,0.14681524,0.18179043,0.20591255,0.20767136,0.19169705,0.17310755,0.1680103,0.18349709,0.2148459,0.24907352,0.27398422,0.2852485,0.28689337,0.2854266,0.28369364,0.27916637,0.2671762,0.24618377,0.22062908,0.19939096,0.19000076,0.19399716,0.20625885,0.21919297,0.22730643,0.22926818,0.22683634,0.22194524,0.21490861,0.2041953,0.18869965,0.16976853,0.15185654,0.14128226,0.1437227,0.16147311,0.1908145,0.22268641,0.24699064,0.25853088,0.2592968,0.2555989,0.25302705,0.2530752,0.25388137,0.25256738,0.24802232,0.24084501,0.23256741,0.2234978,0.21264909,0.19838734,0.18081164,0.16243018,0.14710025,0.13742644,0.13417037,0.13769905,0.1495188,0.17026377,0.19698626,0.22260052,0.24089305,0.25029466,0.25461805,0.25812355,0.26279378,0.2670685,0.26799116,0.26223305,0.24828778,0.2280011,0.20689066,0.19125473,0.18366902,0.18130116,0.17817174,0.17061746,0.15938461,0.14860527,0.14140926,0.13923769,0.14293951,0.15477715,0.17609835,0.203185,0.22637282,0.234428,0.22263098,0.19632727,0.16911219,0.15501124,0.1610275,0.18359411,0.21151632,0.23381253,0.24556935,0.24913825,0.24947037,0.24988447,0.25026652,0.24826522,0.24167766,0.23020278,0.21693291,0.20750654,0.20746435,0.21866064,0.23708461,0.2550647,0.2650249,0.264295,0.25502506,0.24230625,0.22988623,0.21859075,0.2064169,0.19133341,0.17433798,0.16075462,0.15717262,0.1663847,0.18402368,0.20149541,0.21089548,0.20934595,0.19788164,0.17973407,0.15795909,0.13574742,0.11563971,0.09948698,0.08745108,0.07889139,0.07281355,0.068805955,0.066385575,0.06542287,0.066359825,0.07131097,0.08201892,0.09822322,0.115881495,0.13026924,0.13803194,0.13879882,0.13321596,0.122045405,0.10630583,0.08809712,0.07089502,0.057941455,0.050954282,0.049066246,0.049840376,0.050552413,0.049388815,0.045791034,0.040906463,0.038240775,0.04378507,0.06351352,0.099385776,0.14597803,0.19253397,0.22844772,0.2490253,0.25609216,0.2547315,0.24918737,0.24106227,0.23007375,0.21557747,0.19802588,0.17919828,0.1614893,0.14662552,0.13496815,0.12595609,0.118813194,0.11287709,0.10738546,0.10163671,0.09552578,0.08975214,0.08533656,0.082776435,0.081674345,0.081041075,0.08000824,0.07848922,0.07709399,0.076442845,0.07650375,0.07667538,0.07661734,0.076227695,0.075585306,0.07432579,0.07291642,0.072880276,0.07663347,0.08534723,0.09785527,0.11164832,0.124235354,0.1346219,0.14171934,0.1448309,0.14335491,0.13853337,0.13202913,0.12498354,0.11692824,0.10701936,0.095264226,0.08301147,0.07221133,0.06424828,0.059216425,0.055989813,0.053068697,0.049482893,0.045135323,0.040453777,0.035874132,0.031636603,0.027866112,0.024974817,0.02401051,0.026977852,0.0357445,0.050589185,0.068837054,0.086259045,0.09927249,0.10686696,0.11008959,0.11065161,0.109913774,0.10858714,0.10704043,0.1053097,0.10346366,0.10157258,0.09979776,0.0981039,0.0963025,0.09399745,0.0909347,0.08753727,0.08563518,0.08823809,0.09729212,0.11150783,0.12577827,0.13493015,0.13636379,0.13115512,0.12047025,0.10487097,0.084528804,0.062287915,0.042389676,0.02869072,0.021831384,0.0201834,0.02110099,0.022527011,0.022985643,0.02174028,0.01892515,0.015973466,0.015487424,0.020370394,0.031977355,0.048709184,0.06621552,0.07993398,0.08753735,0.089794524,0.089011915,0.08741941,0.08623787,0.08592073,0.086316206,0.086915374,0.08704421,0.08629706,0.08480185,0.08310682,0.081826955,0.0812425,0.08132815,0.08198202,0.083204456,0.08499632,0.08704442,0.08872927,0.08934019,0.0884422,0.08606562,0.082582645,0.078549825,0.074547395,0.071427576,0.07084084,0.075278305,0.087391876,0.10816628,0.1359031,0.16637115,0.19441384,0.21558751,0.22723864,0.22975075,0.22670804,0.22389525,0.22580256,0.23304944,0.24180181,0.24645202,0.24243063,0.22834927,0.20619263,0.18103333,0.15872352,0.14371657,0.13698079,0.13844316,0.14857139,0.16878454,0.19661611,0.2252227,0.24611998,0.25550202,0.2548962,0.24841493,0.23887561,0.22613591,0.20889705,0.18894722,0.17772673,0.19627525,0.26202002,0.36971366,0.48303,0.5547457,0.55701494,0.5001808,0.41929004,0.34789467,0.29995057,0.2721928,0.25623646,0.24683774,0.24243379,0.2414263,0.24089782,0.23794882,0.23237544,0.2262386,0.22182499,0.21929991,0.21729417,0.21484391,0.2122162,0.21052794,0.20961,0.20965016,0.21128832,0.21797661,0.22940098,0.2402472,0.2378903,0.21471171,0.17227708,0.12403149,0.08327185,0.057495814,0.045088068,0.04062943,0.038554225,0.036794003,0.037737947,0.04813378,0.074174576,0.11690203,0.16847652,0.21754968,0.25418457,0.27493757,0.28042778,0.27439654,0.26201835,0.24915117,0.2398069,0.23437445,0.23099001,0.2281235,0.2263928,0.22791332,0.23423086,0.24532545,0.25897977,0.272136,0.28095075,0.28213736,0.27336368,0.25529507,0.23169029,0.20999813,0.20089632,0.21903735,0.2768091,0.37334153,0.48316178,0.56395686,0.5799894,0.5266719,0.43157575,0.33434358,0.26366994,0.22831869,0.2220062,0.2324732,0.24859099,0.264894,0.2803781,0.29456756,0.3027375,0.29840484,0.27904424,0.24915852,0.21727292,0.18940575,0.16697033,0.14756411,0.12873426,0.10978603,0.09258289,0.080810726,0.07809594,0.08625422,0.10305881,0.122769415,0.13846911,0.1470165,0.15059811,0.15417337,0.16013807,0.16617317,0.16830242,0.16537833,0.16393252,0.17774896,0.22436488,0.31046513,0.42119917,0.5187158,0.5650384,0.5448275,0.474977,0.3881931,0.3126731,0.26073286,0.23119223,0.21664499,0.21172595,0.2196518,0.25431585,0.3267282,0.4293946,0.52683467,0.5777096,0.5601356,0.48869276,0.39773926,0.3188143,0.26472205,0.23258199,0.21358186,0.20161456,0.1959566,0.20065117,0.21634243,0.23758106,0.24970229,0.24270289,0.21531461,0.18010388,0.14974158,0.13224928,0.1262868,0.12694001,0.12833215,0.12701167,0.12359562,0.12361815,0.13370715,0.15717633,0.18996006,0.22447188,0.25275555,0.27102712,0.27789417,0.27423322,0.2618344,0.24422717,0.2258295,0.21103251,0.20302671,0.20349748,0.21186556,0.22504766,0.23792493,0.24612539,0.24806736,0.24535419,0.24062383,0.23567593,0.23070389,0.22483589,0.21696879,0.20858818,0.2072053,0.22933489,0.29198417,0.39695415,0.5156689,0.59890556,0.6058988,0.53350264,0.41666678,0.30252218,0.22230525,0.18120919,0.16774464,0.16767615,0.17285848,0.18260883,0.19795638,0.21534628,0.22382309,0.21225993,0.17865981,0.13578136,0.10763178,0.12258623,0.19782503,0.32530367,0.46128073,0.5487562,0.54812187,0.4679813,0.35221305,0.25313514,0.19831206,0.18708248,0.20033593,0.2183761,0.22890939,0.2271225,0.21227223,0.18605821,0.15330371,0.122264065,0.104745425,0.116073966,0.1720612,0.27636695,0.40852627,0.52340114,0.57768893,0.5559889,0.4817295,0.39468193,0.3270587,0.28927994,0.2765431,0.27760708,0.28156528,0.28056535,0.2718419,0.25813648,0.24445695,0.23429187,0.22779451,0.22350611,0.22003292,0.21692877,0.21446514,0.21371943,0.21573345,0.22011377,0.22570042,0.2321738,0.2420005,0.25516912,0.26674286,0.26601937,0.2474916,0.21419008,0.17773987,0.14753576,0.12789688,0.11733698,0.11288648,0.11016774,0.1058914,0.10003383,0.09943325,0.11258324,0.14369635,0.1857245,0.22669952,0.25568962,0.2701609,0.2717812,0.26455417,0.2516037,0.23700118,0.22418763,0.21559556,0.21199276,0.2140681,0.22167446,0.23319526,0.24469508,0.2532431,0.25793946,0.26011553,0.25999686,0.25667378,0.24928348,0.23851115,0.22633338,0.21607463,0.21501137,0.23650117,0.2933928,0.38577256,0.4890109,0.5634559,0.57537776,0.52095205,0.42517555,0.32541373,0.24872522,0.2034772,0.18331838,0.17788893,0.18061925,0.19088209,0.20830655,0.22801131,0.23887718,0.23279937,0.21027847,0.18158877,0.15713458,0.14196295,0.13430594,0.13016446,0.12575588,0.11905641,0.109300874,0.097180136,0.083824076,0.070522696,0.057994206,0.04673487,0.03711385,0.029542899,0.024232248,0.020900602,0.01891422,0.017602349,0.016652882,0.01750096,0.026543455,0.058464754,0.13124473,0.25102624,0.39524433,0.5165438,0.5686106,0.53828627,0.45104218,0.35159948,0.27374846,0.22872932,0.20928192,0.20450771,0.20979865,0.2314411,0.28172186,0.36554775,0.4676913,0.5517022,0.5806403,0.5404885,0.45102108,0.35033786,0.27183726,0.2283274,0.21353184,0.2132317,0.21657027,0.22086775,0.22937363,0.24325435,0.25750455,0.26129472,0.24864942,0.22232908,0.1940179,0.17353071,0.16477428,0.16425638,0.16583635,0.1634114,0.15414499,0.14060946,0.13108553,0.13409533,0.15251051,0.1796207,0.20552297,0.22243758,0.22995913,0.23086102,0.22968912,0.22952877,0.23295058,0.23995215,0.24886344,0.25657794,0.26130092,0.262033,0.2589101,0.2515349,0.24014674,0.22534306,0.20889087,0.19280957,0.17900658,0.16873312,0.16243191,0.15988302,0.16253056,0.17711842,0.21890883,0.30160138,0.4213268,0.5417716,0.6113806,0.59445375,0.50096935,0.3754897,0.26752883,0.20082839,0.17198485,0.16365658,0.16208398,0.16333097,0.1723975,0.19458854,0.22867759,0.26366663,0.28672925,0.29160157,0.2850411,0.28295764,0.30447283,0.35929418,0.43937626,0.5148975,0.55149096,0.53015083,0.46314883,0.3825071,0.32067737,0.29101843,0.2879714,0.2958411,0.30146968,0.29861704,0.28797945,0.27362993,0.26049083,0.25062975,0.24316277,0.23812276,0.24508776,0.28099945,0.35654128,0.45622262,0.5412989,0.5728157,0.54124296,0.46872798,0.3900006,0.32757938,0.28608027,0.25951585,0.24185993,0.22989936,0.22204207,0.21667004,0.21242833,0.20899977,0.20686246,0.20662354,0.20809193,0.2106048,0.21348824,0.21677639,0.22073461,0.2252369,0.2296803,0.23442788,0.241471,0.25258374,0.26430416,0.26694277,0.24932122,0.2092127,0.15602031,0.105614446,0.0689082,0.047880333,0.03777859,0.03316233,0.030754896,0.030530103,0.035381068,0.05038735,0.07844714,0.11713984,0.1571048,0.1886542,0.20629138,0.21218848,0.21119261,0.2079909,0.20424362,0.20038576,0.19613339,0.1919102,0.18862887,0.18774034,0.18950254,0.19252782,0.19382268,0.19137865,0.18516731,0.17737807,0.17040043,0.16574574,0.16356236,0.16316764,0.1639086,0.16810983,0.18395914,0.22663903,0.3065008,0.41625452,0.52176577,0.58207136,0.5725844,0.50448203,0.40997663,0.32285395,0.25955388,0.22167985,0.2020759,0.19443937,0.19600499,0.20849806,0.23189734,0.2609566,0.2832494,0.28822562,0.2723504,0.2425583,0.20882946,0.1796518,0.15833579,0.14479057,0.13719602,0.13342129,0.13204314,0.13236779,0.13522188,0.14147483,0.15074442,0.15909585,0.1610688,0.1529829,0.13647868,0.117386214,0.102098465,0.0943439,0.09456546,0.1030308,0.1235828,0.16670491,0.24302612,0.35124993,0.46631643,0.54850334,0.5661083,0.51871693,0.43423834,0.34880853,0.28445655,0.24498521,0.22354537,0.21386105,0.21622396,0.24044694,0.29992166,0.39857188,0.51435155,0.6036355,0.62383765,0.5654169,0.45532426,0.33951876,0.2516465,0.20264886,0.18337907,0.17966104,0.1811676,0.18569511,0.19498743,0.20739597,0.21428092,0.20446843,0.1749227,0.13387953,0.095329165,0.067839235,0.051745698,0.042503107,0.0370926,0.035705417,0.040639848,0.054424528,0.0790496,0.115091704,0.15979846,0.20575367,0.24288718,0.26374784,0.26777613,0.26072782,0.24993593,0.24013805,0.23245887,0.22633582,0.22124405,0.21760154,0.21612215,0.21721794,0.22066744,0.22550297,0.2303747,0.23298436,0.23160471,0.2256804,0.21771272,0.21110506,0.20861232,0.20982207,0.21495311,0.22904347,0.26583925,0.336477,0.43559813,0.5304322,0.5788941,0.55506647,0.470081,0.3612431,0.26846638,0.21266662,0.19255197,0.1939106,0.20250289,0.21177952,0.22363417,0.23981862,0.2568662,0.264024,0.25497395,0.23272522,0.21340615,0.21662562,0.2598846,0.34594584,0.45621523,0.5496385,0.5837126,0.54051363,0.44160894,0.33248207,0.2537298,0.21902792,0.21676035,0.22548681,0.22900748,0.22137026,0.20378792,0.1806224,0.15642267,0.13497955,0.120550394,0.12110195,0.15192781,0.22749817,0.34717396,0.4807036,0.580316,0.6071232,0.5587552,0.46604547,0.37086263,0.29977432,0.25747678,0.23439331,0.21971263,0.20773639,0.19787312,0.19102252,0.18719812,0.18534334,0.18446524,0.18433273,0.18532245,0.18798329,0.19291596,0.20022513,0.2090661,0.21716927,0.22269635,0.22626843,0.23200256,0.24319528,0.25699937,0.26308396,0.2512206,0.22058423,0.18136539,0.14673367,0.123594396,0.11107531,0.10507023,0.10242813,0.10181814,0.103250004,0.108884245,0.12206485,0.14426082,0.17156906,0.19597395,0.21067978,0.21434641,0.21069543,0.20436822,0.19821335,0.19294894,0.18838377,0.1843578,0.1811617,0.18011399,0.18359536,0.19462316,0.21543205,0.24493794,0.27800998,0.30630434,0.32295278,0.32456005,0.31249747,0.29077613,0.26516697,0.24123164,0.22499643,0.22523141,0.25560185,0.32532954,0.42601165,0.5235888,0.57746744,0.5648585,0.49727345,0.4058729,0.3218136,0.26089317,0.22592108,0.21161366,0.21086675,0.2179385,0.23151903,0.25128996,0.27461898,0.29283366,0.29874346,0.29037508,0.2747282,0.25932622,0.24756213,0.2348084,0.21393402,0.18139718,0.14176412,0.10487337,0.079274826,0.06700472,0.06430333,0.06584021,0.06843557,0.07107253,0.07321518,0.073695965,0.07167038,0.06766981,0.06342124,0.06024828,0.060788136,0.07253063,0.112147845,0.19439824,0.31720462,0.44657978,0.53555495,0.5506263,0.4988855,0.41463587,0.3365449,0.28244117,0.25122353,0.23228486,0.21976143,0.21752924,0.240559,0.30360147,0.40666518,0.5205587,0.59848964,0.60191673,0.5296747,0.41593316,0.3071271,0.2326863,0.19651507,0.18524985,0.1842037,0.18586309,0.19135875,0.20252378,0.21637173,0.22213106,0.21062575,0.18114305,0.14427426,0.11244225,0.09234494,0.08217985,0.076697744,0.07179198,0.06687298,0.064211704,0.06816327,0.08263888,0.10834149,0.1401683,0.16955931,0.18940276,0.19843473,0.20035596,0.19997568,0.20001404,0.20078044,0.20135932,0.20068704,0.19825207,0.19451247,0.19072522,0.18786032,0.1858861,0.18388802,0.18145506,0.17905878,0.17765401,0.17737342,0.17741664,0.17661095,0.17433412,0.17152299,0.17341219,0.1926037,0.24728656,0.3471137,0.47603154,0.5880087,0.6323108,0.5873642,0.4773722,0.3520721,0.25409895,0.1984799,0.17752288,0.17555964,0.18136537,0.19146301,0.2089963,0.23671095,0.27197084,0.30409703,0.3224149,0.3236082,0.31693438,0.3205861,0.35293826,0.42069855,0.5065371,0.57343847,0.5827333,0.5237947,0.42014787,0.3154197,0.24167822,0.20631368,0.19556786,0.19310828,0.18995751,0.18647449,0.1865197,0.19348001,0.20752884,0.2261542,0.24755967,0.27530655,0.31891623,0.38521525,0.4673427,0.5410586,0.578224,0.5649605,0.5123324,0.44642732,0.3924873,0.3607669,0.34804,0.34283662,0.33556128,0.32101318,0.30039394,0.27697447,0.25431445,0.23393075,0.21660954,0.20290649,0.19351858,0.18884867,0.18877034,0.19258232,0.19856358,0.20411687,0.20782126,0.21121852,0.21883182,0.23174606,0.2441961,0.24381155,0.22312798,0.18507771,0.14300974,0.109072685,0.08837131,0.07807533,0.0732929,0.07044882,0.06854007,0.06927372,0.07703325,0.09777252,0.13411404,0.1815048,0.22792904,0.2618166,0.27856073,0.28278598,0.28178445,0.28042328,0.2789282,0.27569556,0.26935056,0.2607462,0.25414073,0.25689304,0.2744714,0.3039961,0.33331287,0.3498292,0.35058737,0.34386703,0.3404008,0.34441844,0.35188285,0.35441354,0.34694472,0.33210644,0.32387865,0.33977425,0.38898757,0.45945844,0.51956207,0.5364167,0.4958887,0.41374245,0.32209328,0.2525762,0.21855031,0.21589728,0.22852479,0.2418229,0.24906977,0.25293615,0.25670204,0.25891808,0.2524905,0.23350586,0.20378828,0.17079861,0.14058502,0.11709863,0.10090656,0.09119148,0.085194506,0.08092075,0.07873959,0.082137875,0.09378088,0.11157805,0.12791677,0.13487518,0.13157658,0.1270748,0.13661349,0.17135803,0.22980233,0.29529095,0.34465265,0.36426568,0.36120412,0.3624431,0.39318025,0.4575739,0.5296578,0.5751591,0.5740035,0.5334807,0.47353926,0.41116777,0.3526262,0.29984173,0.25503132,0.22344232,0.21315496,0.23767824,0.3058846,0.41019714,0.51393944,0.5715871,0.5540568,0.47426614,0.37100837,0.28585008,0.23641507,0.21916865,0.21757919,0.21814449,0.21522385,0.21303342,0.21600129,0.22264312,0.22198313,0.20521198,0.17224725,0.13446543,0.10298842,0.0828562,0.071102805,0.06307746,0.05632791,0.0526116,0.057422142,0.077034034,0.11442127,0.16458137,0.21613699,0.25676003,0.28113878,0.29179403,0.2949424,0.2938899,0.28766596,0.27434576,0.25490558,0.23439491,0.21890156,0.21308659,0.21866842,0.23580988,0.26351324,0.29822648,0.33248305,0.35600376,0.36245656,0.35291627,0.33563402,0.31756246,0.301187,0.28525624,0.27315998,0.27596745,0.3082424,0.3745124,0.45793894,0.52489406,0.5431175,0.5041154,0.42417613,0.33329496,0.25468582,0.19957586,0.16664596,0.15059161,0.14679344,0.15618628,0.18245594,0.22549473,0.27511024,0.3144326,0.33010566,0.32215574,0.3046023,0.30087873,0.3317815,0.4025204,0.490702,0.55538434,0.5621023,0.5085525,0.42397556,0.34514543,0.29234493,0.26313916,0.24500771,0.22815955,0.21127075,0.19694562,0.18715632,0.18118818,0.17773204,0.17605402,0.17815097,0.19107346,0.22900121,0.30283782,0.40621105,0.5064736,0.56412464,0.55812263,0.5020556,0.42854056,0.3667592,0.32765818,0.30767325,0.29840037,0.29302296,0.2887609,0.28516373,0.28318584,0.28199086,0.27890167,0.26992968,0.25360385,0.23258366,0.21309392,0.20122404,0.19921476,0.2044434,0.21096201,0.21463694,0.2156374,0.21910286,0.22726618,0.2359428,0.23343074,0.21242906,0.17508978,0.1338669,0.099996366,0.07815009,0.065548204,0.05778685,0.05254447,0.051064476,0.057780236,0.07790216,0.11418897,0.16310106,0.21545963,0.25976706,0.28823864,0.2986128,0.294229,0.2806841,0.26428014,0.24985482,0.24041204,0.23684871,0.23914723,0.24733703,0.2611982,0.27880105,0.2958115,0.3077329,0.3127425,0.3125334,0.3095964,0.3058169,0.30240548,0.3014644,0.30382034,0.30880234,0.31630024,0.33341876,0.37243342,0.43976936,0.52039593,0.5803061,0.58639956,0.53170174,0.4389046,0.3438231,0.2729489,0.23452389,0.22254808,0.22581573,0.23509689,0.24614508,0.25804695,0.2679343,0.2689151,0.25422955,0.22517633,0.1912803,0.16355377,0.14558099,0.13385001,0.122777544,0.10998956,0.0960367,0.082417116,0.07040902,0.06117071,0.055651087,0.053674113,0.05372274,0.05391073,0.054675985,0.061354775,0.084321775,0.13236849,0.20213914,0.27250543,0.3146445,0.314757,0.2900302,0.28151095,0.32179382,0.40752006,0.49705508,0.54286855,0.52304536,0.45277402,0.36546716,0.2924352,0.24966924,0.23816597,0.24674688,0.26233026,0.2806276,0.3124503,0.37048236,0.45242333,0.53146744,0.5751898,0.5670424,0.5188598,0.45592237,0.3986226,0.35156563,0.3098636,0.26916978,0.23266532,0.20847319,0.20595412,0.22694676,0.2651121,0.3031968,0.3244851,0.31754208,0.28438708,0.23429279,0.18058915,0.13472618,0.105320156,0.09719948,0.110666595,0.1419269,0.18281417,0.22290368,0.2527242,0.2677814,0.27012184,0.26548854,0.25971922,0.2557405,0.25426328,0.2541022,0.25341108,0.24971938,0.24196945,0.23147547,0.22290497,0.22195713,0.23212087,0.25126997,0.272249,0.28694424,0.29072657,0.28322685,0.26678798,0.24418479,0.21975346,0.1986957,0.18875293,0.19793092,0.23520017,0.30395305,0.39606372,0.48617062,0.5408083,0.5375475,0.48095202,0.40018928,0.3272018,0.27811643,0.24860758,0.22729127,0.20798694,0.19426672,0.19429529,0.21240355,0.244785,0.2790097,0.30214274,0.30683073,0.29763192,0.2876722,0.29652536,0.3374809,0.40948448,0.4875388,0.5385404,0.53894466,0.49431542,0.4280577,0.36514106,0.314428,0.2734382,0.23717453,0.20658189,0.18590367,0.1778915,0.17966712,0.18353033,0.18029292,0.1656395,0.1465904,0.14311737,0.18080072,0.27040097,0.39417037,0.50670695,0.56570244,0.55655146,0.5010344,0.43327558,0.37858474,0.34350917,0.32438746,0.31512144,0.30972347,0.30173123,0.2863386,0.26445806,0.24276643,0.22846283,0.2234879,0.22373419,0.22350423,0.22039217,0.21693337,0.21761703,0.22470151,0.23559149,0.2460175,0.2538261,0.26123515,0.26847598,0.27084586,0.25860134,0.22795099,0.18405473,0.1399514,0.10558337,0.08439139,0.073488116,0.06891892,0.067712136,0.06892199,0.073659874,0.08557265,0.10798492,0.14068748,0.1767564,0.20687987,0.22427149,0.2292571,0.22648455,0.22130604,0.21650447,0.21247272,0.20828815,0.20322841,0.19759029,0.19279665,0.19007063,0.18937607,0.1890849,0.18752794,0.18415654,0.17994185,0.17623276,0.17407721,0.17360719,0.1744293,0.17548484,0.1778753,0.1876971,0.2191511,0.28547272,0.38542524,0.49033841,0.55705315,0.5530836,0.48179963,0.37641764,0.27801046,0.21021366,0.175552,0.16297053,0.16170971,0.16659708,0.17898177,0.19919352,0.22184645,0.23406768,0.22509356,0.19357704,0.15006629,0.10830936,0.07808234,0.06184211,0.05715995,0.058970645,0.06193744,0.062489644,0.061374903,0.063517325,0.07586279,0.10177481,0.13863645,0.1772599,0.2092048,0.23133928,0.25002554,0.2736395,0.30456138,0.33213508,0.3401272,0.32288298,0.29813004,0.30032846,0.354242,0.44995221,0.5439735,0.58777714,0.5618953,0.48374537,0.3904282,0.3118144,0.2595715,0.23055267,0.21729343,0.21673451,0.23404755,0.28154305,0.36469528,0.46912575,0.55661374,0.5884256,0.5503309,0.4644506,0.36970234,0.2968951,0.25395796,0.23210335,0.21894427,0.20853432,0.2025736,0.20637618,0.22145908,0.24352288,0.2629133,0.2717824,0.26529106,0.24291009,0.20627491,0.16070428,0.11472413,0.077271365,0.054168567,0.047058742,0.055268805,0.07810194,0.113900006,0.15832879,0.20247744,0.23643237,0.2541462,0.25721452,0.25270236,0.24843214,0.2490205,0.2549982,0.2634206,0.27015546,0.27186257,0.26824257,0.26070487,0.25099033,0.2394579,0.22662927,0.214189,0.20464139,0.19945878,0.19739343,0.19572376,0.19168644,0.18471618,0.1782629,0.18205546,0.21310778,0.2846376,0.39252225,0.50275904,0.57057405,0.564581,0.49265346,0.38757017,0.2884475,0.21529074,0.17179458,0.14904624,0.13925838,0.1385765,0.14995544,0.1741869,0.204947,0.2263462,0.22548413,0.20042582,0.16594487,0.14568143,0.16735315,0.24589062,0.37102404,0.49699768,0.5678405,0.54912287,0.45523605,0.33331096,0.23306035,0.17713863,0.15972324,0.16026388,0.16089188,0.15398054,0.14035676,0.124551825,0.11109281,0.10294055,0.1004633,0.10158244,0.103238255,0.10331327,0.101474024,0.0985719,0.09548358,0.092614494,0.09002798,0.08790641,0.08640448,0.08548671,0.0847872,0.08401972,0.08315233,0.08248205,0.082417876,0.08342311,0.08573464,0.089109994,0.092596225,0.09504292,0.09580045,0.09572792,0.09703901,0.102448635,0.11265845,0.12527756,0.13541715,0.13945885,0.13715728,0.13154271,0.12563719,0.12102941,0.11757117,0.11469877,0.110834576,0.10380405,0.09158963,0.07478172,0.0566818,0.04163869,0.03211861,0.028032767,0.028028654,0.03152967,0.03899951,0.050735105,0.06543654,0.08017543,0.091915905,0.09923599,0.103247784,0.10662618,0.11157388,0.11815294,0.12417605,0.12724626,0.12631266,0.12241439,0.11716608,0.111721404,0.10619079,0.10028887,0.0940663,0.08798432,0.082808144,0.07889999,0.076308645,0.07464227,0.07348225,0.07236486,0.07122195,0.07064966,0.07197339,0.07624164,0.08313506,0.09047661,0.095605575,0.097139984,0.09638875,0.09647438,0.10008939,0.10717263,0.11468679,0.11944276,0.12088024,0.12226421,0.12732998,0.1370845,0.14795645,0.15501513,0.15539838,0.15008342,0.14159764,0.13157862,0.12038073,0.108513415,0.0975062,0.0887697,0.08287755,0.079749905,0.080264874,0.085374,0.09497571,0.10609466,0.115173645,0.11965347,0.11983857,0.11721512,0.113641895,0.110475354,0.10874489,0.10900887,0.1109108,0.11342433,0.1151639,0.115444906,0.11457478,0.113791,0.11416799,0.11587701,0.11809379,0.11978662,0.12040617,0.11999527,0.11887437,0.11720339,0.115187585,0.11339063,0.113598995,0.11766261,0.12639116,0.13721961,0.14575815,0.14757657,0.14183824,0.13168731,0.12261253,0.1189312,0.12058583,0.12434894,0.12622382,0.1252996,0.12312871,0.12258688,0.12518926,0.13054645,0.13619502,0.13909984,0.13688625,0.12876114,0.11512057,0.09739166,0.07793562,0.059952393,0.046708003,0.04074113,0.043720663,0.055652786,0.07434801,0.094667576,0.111163475,0.1203633,0.12307776,0.122358255,0.12150537,0.12173313,0.12266136,0.12320244,0.12286386,0.12183554,0.12052121,0.11908278,0.11750603,0.11603319,0.11505539,0.11472333,0.1145348,0.113668345,0.11169789,0.109021746,0.10666615,0.105426185,0.10534196,0.10557186,0.104976915,0.10268057,0.09849919,0.09310126,0.0880374,0.08598912,0.09035289,0.10423279,0.12800963,0.15827258,0.18825167,0.2111425,0.22300428,0.22448844,0.22031336,0.21627754,0.21682942,0.22186457,0.22887005,0.23319618,0.23226482,0.22412705,0.2101506,0.19258969,0.17550392,0.16110398,0.15014555,0.14206497,0.13824476,0.14224617,0.15687113,0.18006201,0.20416284,0.22117637,0.22744751,0.22547252,0.21979867,0.21357214,0.20595731,0.19379139,0.17668152,0.16333504,0.17395116,0.22786808,0.32707927,0.44255129,0.5303261,0.5552719,0.5170414,0.44153345,0.36420187,0.30585936,0.2716441,0.25464,0.24709786,0.242962,0.23935497,0.234699,0.22875406,0.22262882,0.21826643,0.21711074,0.21848202,0.22029178,0.22084546,0.2207604,0.22197513,0.22535755,0.2295384,0.23265356,0.23529808,0.23927003,0.2435111,0.24060725,0.22168751,0.18428071,0.13674106,0.092526354,0.0613544,0.044602226,0.03774782,0.035389375,0.034191445,0.03404522,0.03811304,0.052358348,0.08185664,0.12597121,0.17558326,0.21756792,0.24252033,0.25014532,0.24667972,0.23939526,0.23236896,0.22715752,0.22376712,0.22178029,0.2206089,0.22075409,0.2243157,0.23301107,0.2462693,0.25962034,0.2676305,0.26599213,0.25427514,0.23484932,0.21202247,0.19010271,0.1727613,0.16524322,0.1768877,0.22250044,0.30963278,0.42614833,0.53243154,0.58458346,0.5595526,0.4736673,0.36589125,0.2746232,0.21792413,0.19440657,0.19269359,0.20176484,0.21619685,0.23539026,0.25860378,0.28178287,0.29612312,0.29452586,0.27416405,0.24005131,0.20013814,0.16257124,0.13161989,0.10815231,0.09139312,0.080675565,0.076023676,0.07751081,0.08581835,0.101832986,0.12431604,0.1471371,0.1614483,0.16261478,0.15492791,0.14766943,0.14653598,0.14994423,0.1527909,0.15491126,0.16435726,0.19777067,0.26783726,0.37146297,0.4785702,0.5478185,0.5494719,0.48832938,0.3956819,0.30956665,0.25179085,0.22446138,0.21589446,0.21452938,0.21835685,0.23963006,0.29446748,0.3857855,0.48849234,0.5597861,0.56510943,0.5038064,0.40644822,0.3126864,0.24621068,0.20890452,0.18966116,0.17828222,0.1720735,0.17517404,0.19078267,0.21462238,0.23346291,0.23440188,0.21442777,0.18309708,0.1537704,0.13448696,0.12552316,0.123514615,0.12528484,0.12890194,0.13356568,0.14074709,0.15320392,0.1730225,0.19797404,0.22315955,0.24334736,0.25660726,0.26246953,0.26084152,0.25098684,0.23438577,0.21519296,0.19894016,0.1889684,0.1860144,0.18949246,0.19916944,0.21354596,0.22854416,0.23813857,0.23845929,0.23050936,0.21907847,0.20894839,0.20138885,0.19510193,0.1884207,0.1849988,0.19634324,0.24127734,0.33096907,0.4525906,0.56250525,0.6100083,0.57019055,0.46319616,0.33732536,0.23706003,0.18032223,0.1599028,0.1584856,0.16330975,0.17150612,0.18744898,0.21166731,0.23553209,0.24167758,0.22023346,0.17687432,0.13623652,0.1289118,0.17956455,0.29002133,0.4300177,0.5444577,0.5819872,0.5286833,0.41549885,0.29712987,0.21599418,0.18462718,0.18919569,0.20862828,0.22701007,0.23637386,0.23217392,0.21238351,0.17984442,0.14314218,0.115023844,0.109688364,0.14362974,0.22685242,0.35155642,0.4808675,0.56688213,0.5773018,0.5198075,0.42970288,0.34665218,0.2904236,0.26153958,0.24884295,0.24186753,0.23440482,0.22617966,0.21967395,0.2171167,0.21777482,0.21869504,0.21731263,0.21333404,0.20853029,0.20549549,0.20632005,0.21154131,0.2190512,0.22585554,0.23073673,0.2367224,0.24674742,0.25916514,0.26525947,0.25708684,0.2335025,0.20258492,0.17404522,0.15448385,0.1449412,0.14348792,0.14527316,0.14409749,0.13564056,0.122768424,0.1161021,0.12660612,0.15705106,0.19859338,0.2384937,0.26645634,0.27879906,0.27488354,0.25768486,0.23293255,0.20905334,0.1927513,0.18639387,0.18849134,0.19589041,0.20622323,0.21721095,0.2272617,0.23457251,0.23858549,0.23918967,0.2372409,0.2333237,0.22755152,0.21930476,0.2091182,0.2028923,0.21395864,0.2595546,0.3454856,0.45452318,0.5456242,0.5798673,0.54321575,0.45803908,0.36155197,0.28531054,0.23905511,0.21763255,0.20904587,0.2060637,0.20797874,0.21947135,0.24073339,0.26421666,0.2755107,0.26677814,0.24099787,0.21202128,0.19138373,0.18320607,0.18216145,0.18093532,0.17423932,0.16134869,0.14398637,0.12473757,0.10555611,0.08784276,0.07243342,0.059888948,0.050397802,0.04380475,0.039644446,0.03725107,0.03576913,0.03432414,0.032478526,0.03361879,0.048336953,0.09638468,0.1931358,0.33261263,0.47453594,0.5655655,0.5710442,0.50096416,0.39665174,0.3023113,0.23997986,0.20915444,0.19848023,0.19973539,0.21378295,0.25098136,0.31971493,0.41438922,0.5056096,0.5552755,0.53773063,0.4604969,0.3552368,0.259369,0.19449465,0.16405791,0.1583123,0.16546275,0.17738706,0.19220732,0.20941818,0.22564411,0.23266965,0.22479977,0.20407885,0.18125217,0.1665771,0.1633687,0.16639012,0.16804408,0.16320531,0.15196432,0.13835387,0.129368,0.1316914,0.14833713,0.17558949,0.2048002,0.22765553,0.24042542,0.24461155,0.24360494,0.24066935,0.2376306,0.23577042,0.23554045,0.23685558,0.23862094,0.23942919,0.23786344,0.2334757,0.22638665,0.21729468,0.20666195,0.19525053,0.1839868,0.17410009,0.1664338,0.16122542,0.15930301,0.16522743,0.19049077,0.24975944,0.34724975,0.46221903,0.5510471,0.57268053,0.51714146,0.41283178,0.3044351,0.2246794,0.18053466,0.16075873,0.15117033,0.14599295,0.14917397,0.16750133,0.2009839,0.23874049,0.26442924,0.2682768,0.25466096,0.24107653,0.24915628,0.29402915,0.3737702,0.46460184,0.5287903,0.5359791,0.48275724,0.39535174,0.31058198,0.2554179,0.23521857,0.24081324,0.25702354,0.27254662,0.2806312,0.2806475,0.27491137,0.26627448,0.2536874,0.23300739,0.20175028,0.16506962,0.13471253,0.12120051,0.12551945,0.13886337,0.14987786,0.15250991,0.14758061,0.13941789,0.13164012,0.1259926,0.12253397,0.12049598,0.11894984,0.11820254,0.12029117,0.12755193,0.13956958,0.15214755,0.1596731,0.15960707,0.15427311,0.14896159,0.14740632,0.14953698,0.15180512,0.15074344,0.14496355,0.135861,0.12521917,0.11371862,0.100481905,0.08480846,0.06759953,0.051394906,0.03878318,0.030874303,0.026958937,0.02552622,0.025148772,0.025067352,0.025216393,0.026510851,0.030724883,0.03950788,0.052927125,0.06853453,0.08259696,0.09206414,0.09628591,0.09649035,0.09461424,0.09212733,0.089990504,0.08878005,0.08866783,0.08926787,0.08964168,0.08890661,0.08672545,0.08367494,0.080764614,0.07894664,0.07859462,0.07955595,0.08130694,0.08324196,0.08493039,0.086318456,0.088099174,0.091767006,0.09920656,0.111132555,0.1258074,0.13966507,0.14952491,0.15494744,0.15716492,0.15773903,0.15644044,0.15274294,0.14622228,0.13831873,0.13159221,0.12944266,0.13409217,0.14524089,0.15956075,0.17175418,0.17681284,0.17198183,0.15831952,0.14063136,0.12552871,0.118106574,0.119178504,0.12532647,0.13178362,0.13565278,0.13805647,0.14230488,0.1510103,0.16162378,0.16743748,0.16170985,0.14456838,0.123514086,0.10825116,0.10381941,0.10925546,0.12144637,0.13832851,0.15842442,0.1787083,0.19446073,0.20127434,0.19713946,0.18322666,0.16360362,0.1432928,0.12665294,0.11589833,0.11158568,0.112448685,0.11547512,0.11665127,0.112789564,0.10399599,0.092701316,0.082592584,0.07521057,0.070662774,0.06730594,0.06482587,0.06430754,0.06881323,0.07980227,0.09534148,0.10937298,0.116334945,0.11449892,0.10709715,0.098234355,0.08977693,0.08089074,0.070599705,0.059641868,0.049834292,0.042515706,0.037648574,0.034597937,0.033050805,0.033388678,0.036363933,0.042889994,0.05389325,0.07043358,0.09257879,0.11878914,0.14468531,0.16542147,0.17706132,0.17966242,0.17533576,0.1681156,0.16092436,0.15613121,0.15360083,0.151886,0.14867122,0.14340346,0.13769537,0.13465631,0.13659002,0.14346348,0.15277667,0.16116893,0.16637813,0.16801322,0.16668384,0.16279392,0.15662621,0.14910464,0.1424584,0.13908963,0.14112292,0.14865814,0.15991509,0.16954207,0.17168097,0.16232933,0.14428271,0.12502958,0.11334752,0.1127761,0.12096576,0.1312557,0.13789944,0.13812666,0.13352579,0.12739964,0.12388626,0.12478695,0.1300625,0.13644807,0.13994662,0.13654196,0.12527834,0.108243525,0.0898327,0.07364682,0.06173056,0.055502504,0.0576999,0.070452474,0.09207652,0.115256466,0.13152693,0.13688883,0.13438818,0.13011383,0.12805222,0.12788278,0.12710671,0.1238671,0.11848041,0.11328522,0.11197903,0.11759579,0.13067067,0.14812362,0.16541256,0.17861187,0.1861129,0.18770617,0.18426824,0.1772387,0.16841735,0.15922303,0.15005344,0.14077812,0.13101687,0.120816804,0.1104017,0.10046037,0.09186327,0.085872255,0.08428213,0.08997003,0.10556158,0.13125144,0.16231327,0.1909216,0.20975547,0.2161717,0.21178724,0.2001492,0.18371995,0.16402714,0.14295174,0.12413141,0.111461185,0.10726497,0.11060005,0.11859244,0.12748088,0.13428088,0.13671748,0.13401645,0.12682621,0.117218904,0.10773569,0.100337066,0.095851146,0.09384388,0.093222916,0.09268405,0.09133998,0.089068346,0.08671851,0.08614432,0.08994982,0.10143385,0.12372768,0.15980758,0.2104572,0.2738149,0.34083775,0.39692712,0.42398378,0.41336647,0.37038568,0.31406942,0.26177546,0.22106135,0.18861218,0.16064298,0.13833353,0.12755296,0.13349576,0.15680043,0.19178756,0.22692184,0.24901016,0.2507325,0.23701918,0.22340865,0.22530119,0.2467031,0.27816832,0.30618533,0.32449162,0.3375876,0.353766,0.37543833,0.39598408,0.40576473,0.40049493,0.38245025,0.35512432,0.31846705,0.2721538,0.22070634,0.17409353,0.14102285,0.12349281,0.11648054,0.11316868,0.10915632,0.104075395,0.09947654,0.09657464,0.09479442,0.09259697,0.08867521,0.08289305,0.07612995,0.07023739,0.06754744,0.07070485,0.08169799,0.10160378,0.12935959,0.16198009,0.1945803,0.22278251,0.24369161,0.25647768,0.26099464,0.25673112,0.24323273,0.22095282,0.19323747,0.16540496,0.14313231,0.1291442,0.12256592,0.12048954,0.12029427,0.12178707,0.12617171,0.13553463,0.14939155,0.16451265,0.17467141,0.17526372,0.16581304,0.15130974,0.13904984,0.13463593,0.13832448,0.1445176,0.14591475,0.13920508,0.12774993,0.117582045,0.11195647,0.10922572,0.1059229,0.10021161,0.093002506,0.087078534,0.085081965,0.088253,0.09490982,0.10204816,0.106778614,0.10857456,0.1080501,0.10627836,0.10366041,0.10059184,0.097334474,0.094014734,0.09038994,0.08625441,0.08169744,0.07724642,0.07353992,0.07114104,0.0702174,0.070481904,0.071237035,0.07172013,0.071515314,0.070613824,0.069261774,0.067499034,0.06521711,0.062232107,0.058702696,0.055002317,0.051622946,0.048859578,0.04682983,0.045694705,0.046247367,0.050543714,0.06183176,0.083023086,0.11401751,0.14972852,0.18132877,0.20137537,0.21043073,0.2183032,0.2379574,0.27308574,0.3145107,0.3444687,0.35179317,0.33466962,0.30057463,0.2556385,0.20682357,0.16004607,0.12357864,0.101977706,0.09574745,0.09972843,0.10689572,0.11077177,0.10967981,0.10772157,0.1116403,0.12522833,0.14633892,0.17051001,0.19446592,0.21925187,0.2483166,0.2889206,0.34716758,0.42346498,0.5024333,0.5592614,0.5711549,0.5369383,0.474754,0.41216362,0.36588678,0.3388549,0.32238612,0.3081021,0.2909607,0.27138975,0.2510384,0.23242216,0.21704711,0.20593025,0.19851238,0.19345061,0.18980056,0.18809558,0.18975276,0.19487356,0.20121129,0.20533036,0.20616996,0.2065226,0.21072555,0.2184573,0.22274692,0.21390605,0.18883948,0.15374403,0.12021368,0.09631932,0.0835349,0.078021795,0.07508895,0.07186344,0.06961426,0.073935844,0.093117274,0.1317046,0.18637241,0.2445075,0.29270884,0.3226811,0.33596623,0.3378689,0.33391413,0.32547522,0.31251642,0.2951957,0.27670082,0.26291832,0.26030225,0.2725061,0.297135,0.32640526,0.35040796,0.3626708,0.36220443,0.35276186,0.3396622,0.3283833,0.3222164,0.32112682,0.32230952,0.3268802,0.34445086,0.38754824,0.4559965,0.5260785,0.5617895,0.53834385,0.46214926,0.3636527,0.27880836,0.2272765,0.20991896,0.2134334,0.2237441,0.23177685,0.23688178,0.24069816,0.2438717,0.24231027,0.23219807,0.21137519,0.18239544,0.14963703,0.11962249,0.097875655,0.08695644,0.08383315,0.082924314,0.08068937,0.07922251,0.08304819,0.093746275,0.106259465,0.113067,0.11187362,0.111199774,0.126837,0.17138506,0.24352992,0.32505575,0.3897016,0.41863444,0.4140536,0.39867973,0.40136185,0.43539298,0.4881127,0.52871054,0.5320832,0.49503914,0.436119,0.37676075,0.32877186,0.29090047,0.25884292,0.23099785,0.21319944,0.21780048,0.25955155,0.34286487,0.44812194,0.53389233,0.55954826,0.514687,0.4244925,0.3309071,0.2632533,0.22790457,0.21350183,0.20647915,0.19946589,0.193977,0.19456811,0.20166029,0.20797068,0.20315003,0.18306632,0.15315591,0.12407156,0.10272309,0.08938574,0.07989449,0.07068447,0.061068665,0.054064542,0.055566054,0.07268455,0.10908687,0.16135795,0.21793926,0.265708,0.29675078,0.31236753,0.31845698,0.31971595,0.31650785,0.30722752,0.29198638,0.2742057,0.25924712,0.2517617,0.2531192,0.26186225,0.2747403,0.2891308,0.30180347,0.31038883,0.31372032,0.31513652,0.31767297,0.32139686,0.3204451,0.31292817,0.3068643,0.32243085,0.37477198,0.45864353,0.54006153,0.57800233,0.5496027,0.4682337,0.36778307,0.28091818,0.22082412,0.18562119,0.16662224,0.15803552,0.15846343,0.17149164,0.19944869,0.23924978,0.2779692,0.3010204,0.2991424,0.27898672,0.26000854,0.2697561,0.3238826,0.41353333,0.49982786,0.5395233,0.51199454,0.43590966,0.35030174,0.28806925,0.25737256,0.24689995,0.24071912,0.22961092,0.21331124,0.19549577,0.1806363,0.17127287,0.16861217,0.17245533,0.18561089,0.21691859,0.27817467,0.3706274,0.47403345,0.55211014,0.57572585,0.5422482,0.47552535,0.4063617,0.35498366,0.32501248,0.3099557,0.3006489,0.29135048,0.2809752,0.27229926,0.2671155,0.26395917,0.2580364,0.24586564,0.22772901,0.20784493,0.19150592,0.1823972,0.1813551,0.18606955,0.19322413,0.20059602,0.2089684,0.21930505,0.22883718,0.22951396,0.21350731,0.18070905,0.1402996,0.10456861,0.080377966,0.06716308,0.06031072,0.05646634,0.05516399,0.05898663,0.07187069,0.09837854,0.13951814,0.19117172,0.24211067,0.28101912,0.30065325,0.30348766,0.29662716,0.2884052,0.28269842,0.27995753,0.27841726,0.2769605,0.2760644,0.27766308,0.28335276,0.29254842,0.30152142,0.30608058,0.304643,0.3001252,0.2968053,0.29672143,0.29817748,0.29824758,0.29573235,0.2939314,0.3013555,0.3317907,0.39375076,0.480512,0.5610824,0.59933954,0.5736124,0.49663165,0.39962003,0.31569096,0.2594196,0.23109722,0.22080326,0.21952395,0.22116639,0.2257539,0.23280264,0.23931654,0.23708068,0.22230773,0.19727977,0.17098175,0.14918481,0.13326028,0.120471366,0.108986385,0.097803496,0.08688498,0.076440744,0.06803612,0.06348601,0.06369146,0.06678483,0.06943464,0.069971725,0.07253182,0.08852082,0.1299509,0.19884348,0.27702764,0.33392656,0.34557834,0.3178047,0.28651276,0.2948511,0.35924578,0.45331964,0.5259695,0.53703994,0.48449218,0.3985281,0.31769073,0.26492134,0.24258344,0.23900189,0.24203457,0.24778806,0.26525974,0.3074449,0.37830278,0.46040544,0.52210456,0.5364604,0.4999664,0.4320108,0.35932222,0.29990613,0.2576811,0.22801186,0.20572601,0.19039182,0.18661271,0.19852346,0.22502784,0.25651017,0.2803202,0.28525808,0.2676575,0.23031186,0.1827085,0.13688657,0.10473934,0.09309947,0.10245187,0.12749055,0.16062792,0.19499893,0.22639279,0.25272682,0.27289584,0.28604066,0.29186234,0.29114893,0.2854663,0.27676687,0.26655224,0.2555699,0.24399507,0.23222154,0.22193162,0.215927,0.2171948,0.22720875,0.24443567,0.26451775,0.28108934,0.28898633,0.28551245,0.27211374,0.25261074,0.23250754,0.21726495,0.21350496,0.2297353,0.2751168,0.3512117,0.44306836,0.51874584,0.54655623,0.5151488,0.44240332,0.35977283,0.29346934,0.25123623,0.2282991,0.21473835,0.20526095,0.19976802,0.20326854,0.21792655,0.2404048,0.26020193,0.2692132,0.2658303,0.25933504,0.26474002,0.29779136,0.3637019,0.4483484,0.52016854,0.54772484,0.52093893,0.45682216,0.38464615,0.32616588,0.28604537,0.25843123,0.2363354,0.21726178,0.20139404,0.18877208,0.17765878,0.16464154,0.14672881,0.12613599,0.11446544,0.13284433,0.19711787,0.30351624,0.41848764,0.5002169,0.5209895,0.48816416,0.428737,0.37243393,0.33226028,0.30909312,0.29633188,0.28872123,0.28178236,0.27338383,0.26260957,0.25125715,0.24184763,0.23646545,0.23463164,0.23461522,0.23461463,0.23465602,0.2355342,0.2379619,0.24090989,0.24327369,0.24471883,0.24713035,0.25088033,0.2527865,0.24500544,0.22190128,0.18502341,0.14462346,0.11223924,0.094184406,0.088743836,0.09002492,0.092009045,0.09194038,0.090933435,0.09420397,0.10881869,0.13902205,0.18182068,0.22625352,0.26025552,0.27712306,0.27904853,0.2724714,0.26383603,0.25642642,0.25127986,0.2479629,0.2454862,0.2430778,0.24054591,0.238401,0.23687977,0.23585647,0.23479272,0.233299,0.2311015,0.22814818,0.22462259,0.22109562,0.21806674,0.21630204,0.2189204,0.23511533,0.27980432,0.36152276,0.46780038,0.559439,0.5942247,0.5530827,0.45701876,0.34607378,0.2564581,0.20058729,0.17424138,0.16513632,0.16465852,0.16925752,0.17982136,0.19489928,0.20750214,0.20604986,0.18430753,0.14632992,0.105671205,0.07503654,0.060462873,0.059550483,0.06563313,0.07145792,0.07248828,0.069117226,0.06794685,0.08102331,0.12063638,0.19082683,0.28060547,0.36730778,0.42916957,0.45877525,0.46416113,0.45818627,0.44533515,0.4203092,0.37946734,0.33408403,0.3116444,0.33716568,0.41151306,0.50158757,0.56107175,0.55922055,0.50044864,0.4133997,0.32922304,0.2645451,0.22154255,0.19554372,0.18319976,0.18736309,0.21906127,0.28851163,0.39100602,0.49433026,0.55389285,0.53971,0.46154606,0.35798895,0.2703199,0.21716952,0.19459625,0.18821667,0.18701695,0.18803065,0.19484721,0.21107347,0.23612852,0.2637967,0.28725547,0.300946,0.30030528,0.28036588,0.23935121,0.18399596,0.12819414,0.08583048,0.063498594,0.060978543,0.07643243,0.10871766,0.15554391,0.2092305,0.25805512,0.29077005,0.30251738,0.2962053,0.2798768,0.26260623,0.2509076,0.24787585,0.252889,0.26281667,0.27268758,0.2774726,0.2737145,0.2613478,0.24360697,0.22528355,0.21021374,0.1999765,0.19440527,0.19230153,0.1922285,0.192429,0.1926998,0.19731836,0.21836694,0.2718219,0.3639125,0.4761578,0.56594485,0.59173733,0.5413058,0.44108298,0.333606,0.2514228,0.20280844,0.18039966,0.17251171,0.17247881,0.17893265,0.19329478,0.21375762,0.23332493,0.24222213,0.23597445,0.21896744,0.20465392,0.21178061,0.25779644,0.34663108,0.45456782,0.5356581,0.54727554,0.4830481,0.37706125,0.27917224,0.22157227,0.20496964,0.21036434,0.2167155,0.21384193,0.20046629,0.18117607,0.16153707,0.14754122,0.1424598,0.14540952,0.15088849,0.15258412,0.14703663,0.13572688,0.122920506,0.11221116,0.10452601,0.098808736,0.09414405,0.09019997,0.086812116,0.08337355,0.079382144,0.07501181,0.07098671,0.06808966,0.06657991,0.0661886,0.0661676,0.065782785,0.064598955,0.06358669,0.065709196,0.076572664,0.100795716,0.13855015,0.18166949,0.2184935,0.23903926,0.24168944,0.2307931,0.21373402,0.19584633,0.18046868,0.16847275,0.15873492,0.14745061,0.13057561,0.107210405,0.08159933,0.060107335,0.046768885,0.04131121,0.041556507,0.046332005,0.056191385,0.07098686,0.0881612,0.10285651,0.111233026,0.112502016,0.109493256,0.10633698,0.106645755,0.11223009,0.12239965,0.13426886,0.1432931,0.14600885,0.14120632,0.13086307,0.11803994,0.10564042,0.09515253,0.08716795,0.08167192,0.07839913,0.076736175,0.07590624,0.075237356,0.07494479,0.07656976,0.08292767,0.09604189,0.1148814,0.1346731,0.14944023,0.15607508,0.15548515,0.15204012,0.14979632,0.15146957,0.1561322,0.16107218,0.16310346,0.16221447,0.16104288,0.16281216,0.16747771,0.17205293,0.17278546,0.1686091,0.1604395,0.14962934,0.13600084,0.11934587,0.10070601,0.08299199,0.06988379,0.06502213,0.072011985,0.09202614,0.12189,0.15212314,0.17271137,0.17790002,0.17051,0.1572175,0.14448713,0.13472445,0.12777178,0.12240202,0.118017755,0.114688724,0.11293632,0.11296909,0.11450832,0.11660728,0.11862236,0.12024889,0.12198933,0.123870134,0.12577994,0.12685773,0.12682217,0.12511303,0.12204973,0.118327826,0.11680197,0.12010586,0.12919988,0.14017476,0.14723852,0.14564183,0.13560696,0.12101521,0.10747748,0.099134825,0.09720248,0.09954214,0.10275545,0.105012774,0.10761174,0.113412045,0.12324897,0.13431779,0.1412481,0.14067219,0.13266788,0.120063625,0.10475346,0.08744881,0.069086604,0.052170817,0.03995787,0.034853164,0.038730502,0.05281766,0.07662733,0.10580183,0.13300002,0.15165854,0.15967275,0.15955268,0.155564,0.15093815,0.14702316,0.14388184,0.14129116,0.13907678,0.13718079,0.13536161,0.13346142,0.13157922,0.13019924,0.12956281,0.12947114,0.12934524,0.12894924,0.12844314,0.12817745,0.12814847,0.12806563,0.12768792,0.12704854,0.12617336,0.124582656,0.12146022,0.1162597,0.10931709,0.101543196,0.09389415,0.08697771,0.081149675,0.07646983,0.07267436,0.06922982,0.066306226,0.06532034,0.06890373,0.07771438,0.088493496,0.094024085,0.08906416,0.07418032,0.055971548,0.041235145,0.03294437,0.02982006,0.029116506,0.028859114,0.02826354,0.027344339,0.026325861,0.025393343,0.024609232,0.023926891,0.023310252,0.02266472,0.021954231,0.021144927,0.020317644,0.019438183,0.018360442,0.016847743,0.014967877,0.013220772,0.012350252]