[0.107188776,0.140754,0.21124852,0.2918868,0.35410297,0.38142213,0.373641,0.343747,0.30677155,0.27309346,0.24649288,0.23000951,0.22738548,0.23966889,0.25762045,0.26370656,0.24293773,0.1943903,0.13242729,0.075899035,0.037807,0.02254054,0.03196278,0.07000946,0.13584624,0.2183057,0.29318866,0.341477,0.3567249,0.35047007,0.33675146,0.32646966,0.32112744,0.31349728,0.2916312,0.24692972,0.18834542,0.13909371,0.12423905,0.14803784,0.19182873,0.2253042,0.22859563,0.20060681,0.15519218,0.10798248,0.068998985,0.041136164,0.024082148,0.017566144,0.024883071,0.05188902,0.10338086,0.17489779,0.2527829,0.31896225,0.36160013,0.37799665,0.37266886,0.35563335,0.33672154,0.32342175,0.3097324,0.28405094,0.23558651,0.17049767,0.10467457,0.05607735,0.033396963,0.03953406,0.07260947,0.12489023,0.17799187,0.208933,0.20278807,0.16380703,0.11104694,0.06644568,0.044894014,0.05414215,0.096224874,0.1643429,0.24153142,0.3045679,0.3396423,0.34669974,0.33869264,0.32569274,0.3122966,0.29615653,0.27641523,0.25386375,0.23298931,0.21822071,0.21392344,0.22220461,0.24622756,0.28663203,0.336646,0.37525237,0.37760496,0.33047116,0.24662541,0.15424137,0.080733724,0.035761047,0.015331186,0.010911383,0.019775694,0.044186745,0.083088994,0.12731907,0.16073698,0.17453587,0.1729985,0.17304833,0.18772681,0.21597397,0.24068446,0.24129641,0.20891903,0.15271126,0.09311836,0.04745363,0.021129748,0.00960246,0.005541006,0.0042578075,0.0042180936,0.0060042515,0.012437918,0.028255055,0.059781697,0.10832709,0.16562603,0.21109305,0.22431368,0.19756733,0.14433736,0.08931199,0.055133577,0.051263023,0.07357588,0.10908603,0.14519697,0.17605494,0.20226789,0.22192305,0.22670507,0.2071647,0.16404648,0.110286236,0.062364977,0.030113302,0.01331605,0.0066493005,0.004557042,0.004063504,0.00393808,0.0038212377,0.0036144939,0.0040308754,0.007484456,0.018840559,0.043541763,0.08418548,0.1374148,0.19464321,0.24578102,0.28126454,0.29412714,0.2800388,0.24142711,0.18681248,0.1290931,0.07920032,0.04429352,0.028295355,0.03580108,0.07116594,0.13568819,0.21881692,0.29797038,0.34280014,0.3338298,0.27334902,0.18714535,0.10626691,0.05049159,0.021135941,0.009240492,0.0051973844,0.0038174281,0.0032181826,0.0029157195,0.002715592,0.0025605578,0.0024431816,0.0023595362,0.0023053514,0.0022824537,0.0023012643,0.0023728162,0.0024830308,0.0025932137,0.0033035872,0.008164871,0.027040983,0.073554486,0.15448086,0.2536895,0.33613122,0.3678688,0.34687528,0.3002069,0.26513168,0.25870296,0.27536878,0.29265273,0.2881367,0.24984847,0.18501441,0.114227496,0.05834048,0.025150722,0.010414551,0.005177506,0.0035175665,0.0029137416,0.002828804,0.0029948745,0.0032650176,0.004938539,0.012468682,0.034205128,0.077346094,0.14129363,0.21405573,0.27840522,0.32049188,0.3354156,0.32476035,0.29598776,0.25968298,0.23039699,0.21751903,0.22437184,0.24466999,0.26903737,0.28324285,0.27349994,0.2326936,0.169089,0.10262527,0.052329034,0.026583679,0.024386369,0.04272237,0.07873567,0.12766069,0.17845678,0.21642204,0.22724532,0.20616241,0.16003397,0.10562349,0.058953356,0.028440937,0.012870197,0.0075475667,0.010227226,0.024093052,0.05389123,0.10029075,0.15597384,0.20848091,0.2469821,0.26771507,0.2748787,0.27469507,0.26891676,0.25177625,0.21640824,0.16390002,0.1059087,0.057292517,0.02609848,0.010915059,0.005297515,0.0036025755,0.0030128162,0.0026957563,0.0027971158,0.0046719057,0.012085933,0.030833984,0.06574204,0.11617735,0.17457978,0.23088723,0.2776477,0.3135459,0.3395984,0.35712406,0.3645657,0.35881642,0.3366284,0.2986842,0.25419208,0.218827,0.2074552,0.22390325,0.25851437,0.29258096,0.3056781,0.2848191,0.23053353,0.15900883,0.09210608,0.046473045,0.026744874,0.030818567,0.053751785,0.091023825,0.13475542,0.17495517,0.19850999,0.19607961,0.16588672,0.11864317,0.070596665,0.03518236,0.01557248,0.0075761806,0.0050060544,0.0041493615,0.004051479,0.0066037625,0.016605929,0.040763948,0.08162048,0.13352707,0.18212086,0.21631473,0.23300268,0.23853306,0.23747317,0.23283099,0.22724737,0.22534157,0.22904749,0.23387145,0.23390959,0.22487439,0.20797008,0.18613367,0.16619168,0.15442704,0.15473841,0.1608748,0.16128664,0.14455962,0.11142549,0.071602084,0.038471665,0.01777414,0.008406542,0.0050869635,0.0041295914,0.0041677034,0.0070995986,0.018433345,0.04621954,0.09567819,0.16304237,0.2338468,0.2903576,0.32123992,0.328312,0.32209656,0.3143685,0.308959,0.30442867,0.29616126,0.28418276,0.2675819,0.24784316,0.2253533,0.20618178,0.19463784,0.190337,0.18430476,0.16679847,0.13490286,0.094938725,0.057707965,0.031140996,0.01688038,0.011495187,0.010271623,0.010004237,0.009424142,0.008377644,0.007063119,0.005943692,0.0065220683,0.01265261,0.02977682,0.06250296,0.109092854,0.16252126,0.21189328,0.25012457,0.2740053,0.2861707,0.2912111,0.29190704,0.28686333,0.27098462,0.24297035,0.20641804,0.16895449,0.13585018,0.10840156,0.084868856,0.063382626,0.043711275,0.027270742,0.015372393,0.008278968,0.0047670547,0.003393394,0.0029196006,0.002723704,0.0025468564,0.0023794372,0.0022728487,0.0022677837,0.0023718157,0.0031697464,0.0075948187,0.021594383,0.05317388,0.10422522,0.1682744,0.22895728,0.2743895,0.29925022,0.30838683,0.30747607,0.3037658,0.30418062,0.30773687,0.30365828,0.27504298,0.22221856,0.1633501,0.124092996,0.11163815,0.115095235,0.11924976,0.12212985,0.13177526,0.15162945,0.170714,0.17165065,0.14637445,0.103642516,0.060516372,0.029645832,0.013080805,0.0063181925,0.005159089,0.0099934945,0.026132062,0.059590906,0.112073414,0.1772167,0.24096803,0.2880869,0.30824926,0.3056397,0.2930523,0.2838852,0.27517006,0.25389886,0.20913796,0.1476269,0.087135114,0.04312275,0.018745039,0.008284603,0.004559685,0.0034938038,0.0041792523,0.007923883,0.016735101,0.032815456,0.05745822,0.092304625,0.13600099,0.18245542,0.21732162,0.22667925,0.2052389,0.16464438,0.1262055,0.10937471,0.1193009,0.14648913,0.17484312,0.19409573,0.20352145,0.20801063,0.2075514,0.19654988,0.16837858,0.12580948,0.07954616,0.042324398,0.019371087,0.008697586,0.004719338,0.0033816344,0.0027735115,0.0024511646,0.0035684623,0.010854595,0.036454957,0.09470787,0.19246109,0.3095998,0.40792534,0.44768786,0.4260659,0.36955285,0.31953225,0.29284346,0.2847524,0.27684698,0.26073506,0.23952045,0.22292311,0.21647842,0.21793514,0.22240448,0.22783042,0.2361867,0.24853845,0.26171425,0.27034548,0.26855436,0.2536204,0.2267499,0.19533314,0.16961448,0.15691747,0.15932758,0.17431922,0.1985063,0.22642376,0.2498192,0.26062092,0.25390574,0.23311467,0.20540953,0.18251026,0.17098385,0.17138399,0.17199983,0.16043945,0.13062751,0.09045123,0.052380726,0.0257565,0.011435192,0.006400937,0.008021259,0.016620211,0.03225477,0.052384555,0.06977963,0.07745267,0.07172396,0.05597673,0.036710937,0.02054627,0.01018109,0.0051813843,0.0033637506,0.0028652446,0.0026904035,0.0025231575,0.002343483,0.0021917447,0.00210689,0.0020864906,0.0020826038,0.002313447,0.0054863077,0.01810249,0.050656397,0.108369075,0.18572338,0.26179707,0.31367913,0.32442245,0.29362664,0.2323431,0.16000955,0.09576002,0.0531615,0.038351208,0.05006634,0.08495512,0.13415104,0.18550462,0.22027676,0.22504836,0.19617824,0.14615265,0.09268826,0.050613225,0.024270093,0.0109527595,0.0052445997,0.003080839,0.0022557073,0.0019358004,0.001852896,0.0019042765,0.002005265,0.0021011813,0.0026555106,0.005173135,0.013716276,0.034822434,0.07681999,0.14356585,0.22928536,0.3151058,0.37793478,0.4011582,0.38327608,0.33390674,0.26854977,0.20466034,0.15980347,0.14504533,0.15601741,0.17519206,0.18110733,0.16467635,0.12887941,0.08716192,0.050815504,0.02950194,0.027566748,0.047937796,0.08695507,0.13423003,0.17347199,0.1915914,0.18423341,0.1564068,0.11746159,0.07726831,0.043764252,0.021232927,0.009355209,0.004656447,0.0032890288,0.0029500155,0.0034603216,0.008765795,0.027997637,0.07446325,0.1544296,0.26092935,0.3707763,0.46074608,0.5152488,0.5311264,0.50888187,0.45155284,0.3702083,0.2850831,0.2202459,0.18696861,0.18066053,0.18517445,0.18531442,0.17228742,0.14426358,0.106202535,0.06693467,0.035741564,0.01649445,0.0075796307,0.004424441,0.0035168156,0.0031845549,0.0030045754,0.0033560535,0.0062106824,0.015254769,0.03467786,0.06517244,0.104274094,0.14593036,0.1849599,0.21336126,0.2236125,0.2090776,0.17241041,0.12370113,0.07694127,0.041449245,0.01980152,0.009038673,0.0046865763,0.0031800733,0.002664243,0.0024339724,0.0023149892,0.0022767924,0.002338266,0.0025346684,0.002863735,0.0032612972,0.0035828168,0.0037007693,0.0035933035,0.0033745423,0.0031925926,0.0031352427,0.003208704,0.0033939823,0.0038660534,0.006192582,0.01483675,0.03719941,0.079112,0.13823552,0.20224817,0.25489873,0.28649688,0.29586586,0.2859544,0.25714004,0.21010888,0.15122408,0.093218304,0.0485311,0.0215908,0.0091465525,0.004588666,0.0035950234,0.004901519,0.010784472,0.024937859,0.051623087,0.08906262,0.12827979,0.15277219,0.15131742,0.12380695,0.08395737,0.047037926,0.02239929,0.00975916,0.0047815717,0.0031448212,0.002654965,0.0024613591,0.0023191962,0.0021680538,0.0020215148,0.001903682,0.0018361579,0.002089687,0.0047609825,0.01524099,0.0425105,0.09318367,0.1659174,0.24701571,0.31673265,0.35507634,0.35060558,0.30317086,0.22699393,0.14475326,0.0776482,0.035169635,0.014354135,0.006455639,0.004310599,0.005780641,0.012578013,0.027998649,0.052853376,0.085694335,0.12246255,0.15974015,0.192775,0.21877106,0.23790975,0.25479937,0.27060077,0.27790532,0.26357946,0.22158228,0.16023323,0.097895235,0.050091326,0.022046069,0.009610762,0.005987178,0.0059897113,0.007047333,0.007920249,0.008121253,0.007683256,0.007027472,0.0074751265,0.0123635465,0.027593376,0.05981396,0.11231748,0.18434171,0.26694778,0.34490395,0.39685735,0.41414234,0.40868834,0.40848973,0.42625526,0.4466218,0.44070983,0.4012325,0.34878138,0.31242415,0.2991413,0.29528132,0.28322122,0.26084992,0.23731518,0.22014087,0.20616007,0.18693121,0.15727557,0.1206635,0.08410061,0.054441202,0.034993596,0.029065782,0.041893512,0.07747531,0.13440116,0.20104752,0.26374087,0.30886152,0.3312067,0.3292161,0.31124532,0.28768608,0.26998886,0.260228,0.25442663,0.24429105,0.22368294,0.19329013,0.16205679,0.14448911,0.14764829,0.16654629,0.18420154,0.18754864,0.17446057,0.15836848,0.15378833,0.16676189,0.18644154,0.19665943,0.18570882,0.1547762,0.112851955,0.071358986,0.038568966,0.018079104,0.009955409,0.013315166,0.028537447,0.05423851,0.085159935,0.11092893,0.123790145,0.12220328,0.11422458,0.108752795,0.110759564,0.11590109,0.116243355,0.10536462,0.083621085,0.05694425,0.032763984,0.015991392,0.007039632,0.0036119362,0.0027268732,0.002620111,0.0025560597,0.0024203656,0.0022318077,0.002053004,0.0019419589,0.0019032602,0.0019088098,0.0019132938,0.0026876777,0.007977421,0.026261607,0.06803059,0.13642092,0.22114842,0.30277976,0.36764732,0.41214797,0.43576896,0.43213186,0.3983014,0.3457491,0.29867417,0.27376422,0.2706726,0.27561,0.27697393,0.2686045,0.2522085,0.23255391,0.2163269,0.20439963,0.19092715,0.16733237,0.13103333,0.0886116,0.050407644,0.024041561,0.009929815,0.004426072,0.0028632635,0.0027037095,0.0029468108,0.0033887129,0.0040399362,0.00588478,0.01347125,0.035710655,0.08216445,0.15267779,0.23056579,0.28951976,0.3098937,0.2945676,0.2626602,0.23932129,0.23594181,0.2505252,0.26612678,0.2669058,0.24532604,0.20929621,0.1727259,0.14493014,0.124415964,0.10382009,0.07888382,0.052037846,0.029249607,0.01424886,0.0067182444,0.003879899,0.0031480545,0.0030061055,0.0028831984,0.002644154,0.0023687168,0.0021550702,0.0020384109,0.0021202175,0.0032734342,0.008596042,0.024671951,0.060039412,0.11905327,0.1949811,0.26944432,0.32397416,0.3526903,0.3664932,0.3799454,0.39875162,0.41644526,0.4236255,0.4168533,0.3993697,0.378021,0.35807064,0.340366,0.32427827,0.30879954,0.29628232,0.2827711,0.2608154,0.22257592,0.17329349,0.12614587,0.09350217,0.075952835,0.0668978,0.058151975,0.04679392,0.03326848,0.020724172,0.011312564,0.0059116394,0.003534738,0.0028072821,0.0026392357,0.0025495945,0.0024209244,0.0022821564,0.0021824474,0.0032996938,0.008737555,0.023671642,0.05150603,0.09071866,0.13542129,0.17887998,0.22059233,0.26497194,0.3251547,0.4094267,0.5156713,0.61480886,0.6673713,0.6430128,0.5486497,0.4228228,0.31264463,0.24607919,0.22216104,0.22304864,0.229768,0.23337086,0.23263805,0.2283052,0.22210634,0.21702905,0.22043133,0.23573072,0.26048052,0.2810463,0.2842218,0.2611346,0.21698488,0.16222958,0.11029158,0.06769645,0.037744466,0.018929038,0.0092138015,0.0050951163,0.003897527,0.0036761689,0.0036914253,0.003714842,0.0037559133,0.0038705932,0.0050498536,0.009859753,0.02352867,0.050056208,0.089348234,0.13163532,0.16446754,0.17738862,0.17297381,0.16057868,0.15317689,0.15670781,0.17211884,0.19507015,0.21914463,0.23712136,0.2416973,0.23100543,0.20785576,0.18393795,0.16975074,0.17105632,0.17858975,0.17744367,0.1557361,0.11666527,0.07318299,0.038630527,0.017913496,0.008545893,0.0056977305,0.0065717585,0.011843234,0.024723098,0.048361707,0.08220013,0.12097895,0.1562488,0.18222989,0.19732171,0.20706488,0.21831544,0.23766202,0.26219714,0.2810938,0.2783568,0.2455076,0.18827307,0.12527786,0.07879542,0.06426575,0.08564652,0.13404411,0.19002678,0.22934116,0.23386572,0.20062803,0.1441911,0.08580523,0.04231878,0.017703062,0.007445891,0.0041220817,0.003305117,0.004022462,0.007903133,0.018269738,0.03655212,0.062683694,0.093056194,0.12685499,0.16085511,0.19099301,0.20655173,0.2032969,0.18583381,0.16919844,0.1617891,0.1612101,0.15620266,0.14120795,0.11834618,0.09617438,0.07966875,0.06948364,0.060827274,0.05009055,0.03633716,0.022720145,0.012307805,0.0063985754,0.0039199986,0.0032915052,0.0033168432,0.0034386597,0.0034488158,0.0033102587,0.0030756036,0.0027962588,0.0025289978,0.002329356,0.0022690527,0.002597318,0.0038277677,0.008898485,0.024035549,0.059032142,0.11734947,0.19219226,0.26561764,0.3273017,0.37487853,0.41162643,0.42784598,0.41540334,0.37672126,0.33259025,0.29839423,0.27410445,0.2499395,0.22142695,0.19293801,0.1656506,0.13805722,0.10913184,0.0885215,0.08600854,0.103973925,0.12853234,0.14203537,0.13237934,0.103585385,0.06758759,0.03740151,0.017860526,0.008142249,0.0041548754,0.0029056717,0.003001475,0.0059754965,0.01588279,0.038510118,0.07587248,0.12495768,0.17562461,0.21893525,0.247846,0.26522884,0.27645624,0.28955162,0.30167475,0.30392373,0.28275123,0.2356686,0.1711399,0.106655926,0.05611138,0.025048664,0.010068779,0.0045447494,0.0031071927,0.0049705985,0.013568831,0.035717037,0.07340223,0.12215241,0.16757566,0.19905525,0.21151195,0.2128601,0.21322769,0.2230745,0.24549651,0.275855,0.3036271,0.31861472,0.31965902,0.3149836,0.31347764,0.31552744,0.3111813,0.2918439,0.25674886,0.21308346,0.16804813,0.12568383,0.088580154,0.05898426,0.03828819,0.02517199,0.01699759,0.0114731295,0.007607376,0.0050671827,0.0035604965,0.0027364884,0.0025019224,0.0044556423,0.013214831,0.03684408,0.082647115,0.15182497,0.23548253,0.3167384,0.37859786,0.41177574,0.4196292,0.41155946,0.39559993,0.3726873,0.34244344,0.30647025,0.2679896,0.22638385,0.17951913,0.1282674,0.0799829,0.04262403,0.019809952,0.0087851845,0.0048492937,0.00692136,0.020125108,0.054607067,0.11408079,0.18996419,0.26008043,0.3050351,0.3163348,0.29816744,0.25832406,0.20463397,0.14678584,0.09527006,0.059913695,0.046543587,0.05819999,0.09384352,0.14369853,0.19127728,0.21969272,0.22560723,0.21623768,0.20208292,0.18390171,0.15766327,0.121188246,0.080887996,0.045878325,0.022338137,0.009916882,0.004910352,0.0032676468,0.0027456095,0.0024605868,0.0022625786,0.0021393988,0.0020864566,0.002080105,0.0020838936,0.0021926386,0.0046039717,0.0147338165,0.042890575,0.096103095,0.17403384,0.25978795,0.33305836,0.37459016,0.3835188,0.3660879,0.3365108,0.3014908,0.2694747,0.24489576,0.23469925,0.23792271,0.25121805,0.2681838,0.28463078,0.29315445,0.28212833,0.24301635,0.18004315,0.11168484,0.057221815,0.024875263,0.010944228,0.009100339,0.01860976,0.04320839,0.08399173,0.13362186,0.17837296,0.20811534,0.22197789,0.22763848,0.23219158,0.23838846,0.24415858,0.24470907,0.23614717,0.21578608,0.18756217,0.15589564,0.12628543,0.09827939,0.072096065,0.047706526,0.028110871,0.014771904,0.0075785187,0.004444444,0.0033520146,0.0030470975,0.003194642,0.004033309,0.0058495128,0.008476962,0.011035231,0.012391186,0.011929738,0.009998913,0.0075496496,0.0054360256,0.00400986,0.0031978665,0.0033453144,0.007347882,0.022698088,0.060392797,0.12595086,0.20952551,0.28289524,0.3147855,0.29029155,0.22237302,0.14104564,0.075720616,0.04230872,0.045411613,0.08200434,0.14427692,0.2149247,0.27368668,0.30227816,0.2979945,0.26851234,0.2296871,0.19106358,0.15665467,0.12339843,0.09002283,0.058040213,0.032120656,0.016220352,0.012880281,0.024840347,0.05393749,0.09840906,0.14874487,0.19130349,0.2140858,0.21345341,0.19354661,0.16226794,0.12665598,0.091616005,0.06256015,0.04607126,0.047608335,0.06509159,0.0873216,0.099489726,0.09341383,0.07271995,0.048324417,0.029646868,0.019196333,0.014407117,0.011828486,0.009730973,0.007823126,0.0062264595,0.004970277,0.00398778,0.0038876736,0.0076227393,0.02147791,0.05220741,0.09995634,0.1544108,0.20040496,0.22945024,0.24441864,0.25322893,0.26005188,0.26465538,0.2658355,0.26458144,0.2617505,0.25922418,0.25730821,0.2555667,0.24990661,0.23988245,0.22793297,0.21972185,0.21390979,0.20600641,0.19214953,0.17579393,0.16321987,0.15666904,0.15223461,0.14177345,0.1206279,0.090191446,0.05801494,0.03201994,0.017550418,0.018740322,0.041238863,0.08948696,0.1579581,0.2299072,0.28447488,0.31215945,0.31568706,0.30691993,0.29529235,0.28613043,0.27835765,0.2686654,0.25601837,0.24338095,0.23308344,0.2227091,0.20860499,0.19358975,0.18519236,0.1875317,0.195893,0.20241779,0.20261858,0.19672571,0.1884291,0.18602987,0.20051192,0.23432064,0.2718655,0.28497645,0.25602368,0.1918733,0.11894295,0.060905274,0.026681202,0.0110723,0.005474677,0.0036435334,0.0029876994,0.0027219774,0.0033686694,0.0069192606,0.01860475,0.044908393,0.092252634,0.15789874,0.23100966,0.29013118,0.32004744,0.3143773,0.28611693,0.25160325,0.22639938,0.21157129,0.20332475,0.19500189,0.18527876,0.17203815,0.15273398,0.1244782,0.08976871,0.05567168,0.02945017,0.014052638,0.008753848,0.013416622,0.03084904,0.065352984,0.11712826,0.17879604,0.23542474,0.27388892,0.28917482,0.2880553,0.27829352,0.26504263,0.24789338,0.23042804,0.21803595,0.21651684,0.22465189,0.23622262,0.242546,0.23694827,0.21881127,0.19405504,0.17348616,0.16474102,0.1680296,0.17695142,0.18516849,0.19151425,0.19658011,0.19754525,0.1862485,0.15693158,0.113800146,0.07009421,0.039783508,0.027929403,0.0309358,0.040731087,0.05214921,0.06277222,0.07121638,0.0736232,0.0667176,0.05105633,0.03234587,0.016968489,0.007894183,0.004080568,0.0029830553,0.002808178,0.0027888522,0.002731955,0.0025835016,0.0024096894,0.0028119208,0.0065964763,0.019615857,0.049849343,0.10013473,0.16539936,0.23146866,0.28750578,0.32674548,0.3507172,0.35759053,0.3484331,0.32354704,0.290017,0.253513,0.22077806,0.19653709,0.18496573,0.18510051,0.18843131,0.18332322,0.16152607,0.12533087,0.083912514,0.04838909,0.02413922,0.011071011,0.0052912645,0.0032264432,0.0025575736,0.0023503702,0.0022636652,0.0022124376,0.0021966759,0.0022269457,0.0023207522,0.002681615,0.0038731508,0.008331734,0.02058697,0.047618594,0.09271106,0.15302476,0.21606147,0.26748905,0.2934823,0.28727177,0.24856664,0.18752122,0.1209489,0.06583273,0.030480353,0.013797927,0.010742158,0.018316003,0.03585958,0.06223758,0.09526924,0.13231339,0.17270403,0.21383433,0.25290227,0.2840842,0.30592313,0.31882274,0.32845408,0.33600065,0.33848524,0.3274351,0.30058646,0.2633586,0.22664087,0.19675983,0.17477615,0.15840675,0.14551324,0.13250484,0.11655378,0.099171795,0.08900946,0.09541348,0.11977145,0.15189038,0.17737788,0.18647029,0.17825264,0.15597695,0.12452691,0.08864831,0.05507048,0.029242745,0.013630386,0.0061871563,0.0034411584,0.0025060945,0.0021393497,0.0019716888,0.0019225738,0.0019225989,0.0019248544,0.0019266707,0.0019636254,0.002077507,0.0022901455,0.0033669013,0.008421813,0.025034418,0.06443227,0.13484176,0.23329906,0.33971098,0.42774233,0.4748809,0.47874463,0.447873,0.40263963,0.3588705,0.33235058,0.32391736,0.32618237,0.32335898,0.3090677,0.28547594,0.26066402,0.23785067,0.21762298,0.19987035,0.18685037,0.17868252,0.1739852,0.17013921,0.1675965,0.16752984,0.17131843,0.1769921,0.18186249,0.1823707,0.17747302,0.16916804,0.16414793,0.17059986,0.1917994,0.22169487,0.24708807,0.2559543,0.24552397,0.22307388,0.20117396,0.18785842,0.18276866,0.17962913,0.17303957,0.16201253,0.14697005,0.12882484,0.10920734,0.09198282,0.08039257,0.07288536,0.065067306,0.052713856,0.037164826,0.022021204,0.011308984,0.005476016,0.0032933755,0.0027082798,0.0026757887,0.0027699443,0.0029479386,0.0031334748,0.0032525843,0.0038282247,0.006462933,0.015196088,0.035989802,0.07644063,0.1405824,0.22435653,0.3108333,0.37576807,0.40174806,0.39253974,0.37352514,0.36848542,0.37872395,0.37934998,0.3471428,0.2802732,0.1999292,0.12806208,0.0755011,0.04124083,0.021121278,0.010692813,0.006200971,0.0044307816,0.0040777517,0.007273981,0.019900616,0.049922314,0.098309316,0.15664579,0.20802449,0.24419661,0.26496944,0.2782303,0.28463915,0.28580344,0.28302768,0.28209293,0.28190327,0.27688488,0.2582554,0.22261971,0.17225607,0.11668614,0.06734456,0.032855496,0.014319361,0.007888816,0.009685974,0.018906469,0.03711615,0.06421117,0.09604392,0.123969816,0.13903116,0.13711615,0.12128287,0.10046569,0.08301141,0.07275381,0.066390455,0.058520198,0.04595785,0.03102533,0.018265476,0.010871234,0.008559604,0.009037663,0.009871635,0.009780523,0.008636263,0.0070469845,0.005623838,0.005146846,0.008319291,0.020481557,0.048332285,0.092010915,0.14425148,0.19113255,0.22623944,0.24886782,0.26395664,0.26790276,0.25442562,0.21771546,0.16378169,0.10573193,0.057947952,0.027265377,0.013845029,0.014727251,0.028566958,0.053292263,0.08609742,0.12213552,0.15887235,0.19173779,0.21277137,0.21061015,0.18074822,0.1314328,0.07972672,0.04030567,0.017495692,0.007484117,0.0040267115,0.0030857634,0.0028911855,0.0029181652,0.0030944508,0.004413214,0.010083779,0.02584959,0.056586474,0.10038486,0.14418475,0.16928937,0.16295455,0.12880178,0.083175205,0.043940347,0.019305272,0.007857692,0.0037819026,0.0026229883,0.0022847606,0.0022061013,0.0022153861,0.0022468164,0.0022766085,0.0023103908,0.0023479536,0.0037542044,0.01132409,0.03485192,0.08429957,0.16125812,0.25214854,0.33315566,0.3840405,0.40116134,0.39830497,0.39369166,0.39245316,0.38157323,0.34265545,0.27370584,0.19467555,0.13301632,0.10197271,0.09470663,0.09629897,0.09717006,0.0975871,0.098986715,0.09946579,0.09264973,0.07602168,0.052638266,0.030291045,0.014466231,0.006284505,0.0031891207,0.0023526286,0.0021651636,0.0021118873,0.0021049369,0.0029961367,0.007975618,0.02422485,0.060153455,0.1187217,0.18907343,0.24695186,0.26698473,0.23928969,0.177453,0.107936144,0.053776864,0.0223184,0.009488674,0.009298449,0.022163698,0.052423786,0.09907999,0.15049456,0.18864371,0.20428787,0.20118624,0.19211084,0.1824159,0.16995174,0.14745338,0.115147114,0.07923651,0.051608343,0.042353082,0.057602987,0.09535285,0.1449454,0.18818706,0.20706002,0.19214195,0.14982453,0.09705159,0.05210522,0.023373455,0.009665432,0.004556881,0.0029542123,0.0023938224,0.0032690458,0.007754199,0.020864293,0.047230717,0.091332495,0.15104009,0.2213455,0.2890564,0.3417326,0.3655776,0.35940024,0.33273467,0.30749974,0.29881358,0.30780637,0.3207681,0.32546434,0.3186299,0.30437663,0.28816974,0.27326143,0.2619616,0.25016332,0.23242354,0.20460062,0.1748998,0.15401949,0.14940728,0.15414046,0.15769686,0.15273933,0.14517556,0.14541845,0.1594494,0.1788078,0.18700196,0.17145546,0.13396026,0.08885198,0.053207397,0.038779948,0.048184972,0.076659344,0.114802636,0.15347318,0.18667276,0.21057977,0.22215633,0.22000462,0.20797016,0.19391136,0.18412858,0.17960988,0.17721468,0.17379963,0.16857712,0.1627023,0.15946703,0.15849346,0.15552396,0.1415303,0.11391064,0.07771812,0.044553686,0.021713391,0.010183019,0.0072499826,0.0133238165,0.03407595,0.07503253,0.13416491,0.19740985,0.24537265,0.26265272,0.24571563,0.20169431,0.14469795,0.089620955,0.047499362,0.021803336,0.009514132,0.0048946124,0.0034671382,0.00304399,0.0037193082,0.0081805615,0.022580693,0.053645935,0.102041036,0.1558678,0.19367684,0.1973912,0.16537982,0.113988884,0.06587759,0.03715929,0.03128433,0.041938152,0.059109088,0.07518378,0.0874973,0.09752121,0.10774279,0.121516824,0.14044209,0.16199271,0.17590238,0.17105396,0.14444473,0.10509352,0.06678113,0.038123716,0.02043088,0.010528321,0.00549236,0.003152955,0.0022855783,0.002005722,0.0019480074,0.001989166,0.0021087662,0.0022565732,0.0023646343,0.0023724157,0.0022700652,0.0021056074,0.0019552787,0.0018799026,0.0023641137,0.0060261376,0.01955113,0.053226512,0.113641284,0.19521427,0.27589288,0.3290329,0.3385429,0.3121742,0.27274483,0.24280278,0.22673465,0.21359141,0.18990286,0.15472253,0.11877126,0.09252114,0.07694309,0.064711265,0.050168484,0.033337157,0.018726429,0.009151685,0.004618898,0.0029812192,0.0027061608,0.004113151,0.010324111,0.02718965,0.05990529,0.108706675,0.16473389,0.21339588,0.24043314,0.24017109,0.21618485,0.17823982,0.13571703,0.09597695,0.065283395,0.05142187,0.060400784,0.092748344,0.13831395,0.18209003,0.20987767,0.21950461,0.2176134,0.21426363,0.209756,0.19631262,0.16544011,0.120080225,0.07258317,0.03615641,0.015209294,0.006368447,0.003494937,0.002637457,0.0022294277,0.002007241,0.001922762,0.0021195726,0.0030808002,0.0066196923,0.016626986,0.03963584,0.08058041,0.13651747,0.19252014,0.22922806,0.23739661,0.22421448,0.2051655,0.18672903,0.1648807,0.1327286,0.09355936,0.056534823,0.03021943,0.016103843,0.013290632,0.022557067,0.046528876,0.085597366,0.1355524,0.18960772,0.2410574,0.28190783,0.30298704,0.29590186,0.26135695,0.21060538,0.16335316,0.1386369,0.1457053,0.1784696,0.2166884,0.24007553,0.23952897,0.22183806,0.19905126,0.17937295,0.1627621,0.14483966,0.12248757,0.09966888,0.08896937,0.10464045,0.14943795,0.20661958,0.25015163,0.26299924,0.24888891,0.22093041,0.18846834,0.15084563,0.108524285,0.06698101,0.035011347,0.015836705,0.007124724,0.00388592,0.0028137125,0.00238493,0.0022004026,0.002134591,0.002194724,0.0025534236,0.0051165936,0.015074515,0.04123245,0.08896037,0.1524943,0.21114807,0.2405668,0.22778529,0.18028897,0.11947473,0.06617234,0.030947654,0.012736638,0.0055093765,0.0031648567,0.0025040351,0.00223718,0.0031745348,0.009128702,0.027374139,0.06366824,0.11356398,0.15958457,0.1798204,0.16500473,0.12402916,0.07741749,0.04067789,0.01902441,0.008630391,0.004526762,0.0030045344,0.0025104417,0.0023463937,0.0023504135,0.00395404,0.011481028,0.03299471,0.073469006,0.12834738,0.17988868,0.21159019,0.21927692,0.2154928,0.2106803,0.2042381,0.18468946,0.147934,0.101120315,0.058697373,0.029216506,0.013353641,0.0063063824,0.0036137763,0.0025729893,0.0021566271,0.0020138163,0.0020408623,0.0024786636,0.006409764,0.02164255,0.060159862,0.12653305,0.20964308,0.28196287,0.31959644,0.31648338,0.2873101,0.252583,0.22765861,0.21965766,0.22812434,0.24668224,0.26419857,0.27286896,0.27162528,0.26562014,0.2577817,0.24641962,0.22863843,0.20600837,0.1859492,0.17552261,0.17818981,0.1908169,0.20682167,0.21909118,0.22421174,0.22571234,0.2290111,0.23715852,0.24464668,0.24469729,0.23374568,0.21668191,0.1996757,0.18542457,0.16948682,0.14598177,0.11294261,0.07566225,0.042631865,0.020066455,0.008354824,0.0039703264,0.0028779202,0.004144022,0.010867582,0.02973058,0.06422812,0.10897262,0.14775616,0.16572626,0.15958913,0.14035717,0.1215016,0.111382015,0.111508824,0.12123465,0.13541262,0.14577484,0.14188595,0.12162081,0.08977175,0.057373688,0.03163549,0.016980303,0.013973985,0.023570234,0.043156404,0.06609466,0.08117334,0.08216429,0.07220065,0.064548604,0.071040116,0.09458941,0.12856267,0.16424434,0.19682233,0.22242536,0.23627059,0.23301937,0.21366836,0.18559228,0.15853135,0.1377205,0.12323203,0.11124604,0.098614626,0.08338732,0.0667103,0.050282504,0.03607927,0.024640739,0.015948359,0.009693931,0.0056299046,0.0033861697,0.0023896957,0.002046452,0.0019676555,0.001971838,0.001997979,0.002002812,0.001963985,0.0018979907,0.0018386886,0.0018131165,0.0018213346,0.0023924995,0.005965751,0.018780379,0.05028824,0.10698555,0.18380775,0.25928655,0.306999,0.31105983,0.28087166,0.23877491,0.20667388,0.18841414,0.18055873,0.17622584,0.17517866,0.17456271,0.17369503,0.17155014,0.1731516,0.18034202,0.19180922,0.19939627,0.19803314,0.18787569,0.17712681,0.17356986,0.17893697,0.18838662,0.19697118,0.20680039,0.22308487,0.24797003,0.2735969,0.28759918,0.28175935,0.25826538,0.22646289,0.19323404,0.15951939,0.12343225,0.087536514,0.05940221,0.045694422,0.04661596,0.05535394,0.06484335,0.07192958,0.07743299,0.080704026,0.07838151,0.067369364,0.04939687,0.030298144,0.015686141,0.0073703094,0.005792202,0.01373016,0.039240554,0.08760979,0.15473779,0.22112818,0.2654999,0.27810633,0.27175376,0.26748565,0.2754977,0.28343463,0.2704982,0.22789039,0.16693555,0.107126616,0.061508402,0.032271035,0.016459422,0.013151981,0.02631493,0.06169841,0.11631018,0.17256548,0.20350498,0.19345546,0.14889069,0.09383645,0.049616467,0.026363997,0.025846248,0.05032633,0.098367274,0.1576654,0.20355016,0.21462311,0.18690328,0.1362748,0.084436394,0.04727322,0.032454018,0.044450164,0.08299436,0.13847052,0.19225849,0.22782265,0.24312966,0.24583046,0.244341,0.23534137,0.21562885,0.186172,0.1588574,0.14236815,0.13898931,0.14308806,0.15082406,0.1612621,0.17370516,0.18158148,0.17562598,0.15058395,0.11145263,0.07003635,0.037575487,0.019708121,0.018401274,0.037451435,0.08210676,0.15182705,0.23191643,0.2968658,0.32454887,0.30999267,0.26725325,0.21984936,0.18838882,0.18057881,0.1875028,0.18989635,0.17175694,0.1325397,0.08583465,0.04888994,0.032834124,0.040244136,0.068158336,0.10654843,0.14069505,0.15360373,0.13874383,0.102505095,0.061793923,0.030210257,0.012598041,0.0053261654,0.0031169218,0.0025038673,0.0022884796,0.0022561855,0.0034476547,0.010561946,0.032316897,0.07737375,0.14278819,0.21337648,0.26818126,0.3001089,0.3132186,0.31601548,0.30803216,0.28790104,0.2595081,0.22931246,0.1989242,0.16228934,0.11842456,0.073358275,0.03808752,0.016817903,0.007398809,0.0040756385,0.003079844,0.0026999305,0.002554926,0.002506325,0.0025572525,0.0033330217,0.006950967,0.018259017,0.043510187,0.08653098,0.14310469,0.2013179,0.2493201,0.2841223,0.3123745,0.3386179,0.35943022,0.36431047,0.35013926,0.3233519,0.29820463,0.28369913,0.27930927,0.27450597,0.2585195,0.22772634,0.18759848,0.14521922,0.10529161,0.069313906,0.04018901,0.02005436,0.009363175,0.0051774574,0.0043822476,0.0048036636,0.0056211394,0.0063843564,0.0068875626,0.008589986,0.01648389,0.03960873,0.08499492,0.1497766,0.2162814,0.26199695,0.27278018,0.25460204,0.22525775,0.20391095,0.19591218,0.19617832,0.19255729,0.17790192,0.15060388,0.11538107,0.07882994,0.04725821,0.024865083,0.011923312,0.0061299405,0.003925309,0.00306861,0.0025506734,0.0022385046,0.002121267,0.0026089444,0.0063480255,0.01984291,0.052943885,0.110719465,0.1855833,0.25498068,0.29666638,0.30486715,0.2955555,0.28890187,0.28979823,0.28684843,0.2684666,0.2397329,0.21519218,0.20675983,0.21225165,0.22335415,0.22995394,0.22498001,0.20424597,0.17120643,0.1384499,0.120925836,0.12551777,0.14503928,0.16541725,0.17555684,0.17506285,0.16985129,0.16605358,0.16428594,0.16272305,0.16039295,0.15737852,0.15115984,0.13659045,0.11218015,0.085458726,0.069671996,0.07435857,0.09737285,0.12700124,0.14907801,0.15567066,0.14718951,0.13018292,0.1126748,0.100411415,0.095231734,0.09363651,0.08927793,0.076988794,0.057779443,0.038139,0.026894607,0.03184605,0.059886854,0.1132952,0.18426685,0.25018218,0.2833098,0.26711586,0.20948875,0.13661693,0.07577205,0.040262636,0.028021524,0.029708812,0.036299404,0.042327657,0.04509425,0.04407014,0.039905548,0.03395217,0.027426546,0.021251157,0.016457288,0.016555237,0.02910575,0.06384784,0.12133646,0.18518372,0.22504432,0.2194661,0.17152403,0.10735496,0.053651094,0.022130063,0.009522967,0.0099060675,0.024702864,0.061205525,0.123552404,0.19942605,0.26123217,0.27921125,0.24496579,0.17587675,0.1048162,0.058231827,0.049656272,0.07808209,0.13276406,0.19013017,0.22490257,0.22130258,0.18872075,0.14977194,0.12515654,0.11633501,0.11353719,0.10791875,0.10170748,0.10553286,0.1278315,0.16820441,0.21254592,0.24364777,0.24908279,0.23295482,0.20760654,0.18815595,0.17961176,0.18010055,0.17904349,0.16721004,0.1388548,0.09963865,0.059912562,0.030317249,0.013579837,0.0075109326,0.007679044,0.011225779,0.016092723,0.020386333,0.02234401,0.02123642,0.017839933,0.013742353,0.010306083,0.00800895,0.006632086,0.006931213,0.012418565,0.030940026,0.06969968,0.12905486,0.19499104,0.24567012,0.2607163,0.23582979,0.18155372,0.11891993,0.065393776,0.030317435,0.012198231,0.0052249804,0.00356909,0.0064174603,0.018473785,0.0486176,0.10289278,0.1783352,0.26044187,0.33065292,0.37497747,0.38953388,0.3786253,0.3497264,0.3092129,0.2607201,0.20796467,0.15816258,0.12104041,0.10244534,0.098258436,0.09691092,0.088165045,0.0704288,0.04967941,0.03286585,0.022596436,0.017218908,0.0139408065,0.011323771,0.009262945,0.008028174,0.0075625074,0.0075252783,0.0075136633,0.0072699687,0.006730249,0.0059876847,0.005188546,0.0052422523,0.008386042,0.019553458,0.04306516,0.08056604,0.12510641,0.16649978,0.19339335,0.20367451,0.20080213,0.19439624,0.18902422,0.18398654,0.17140605,0.14754207,0.115483396,0.08506516,0.062218774,0.04665329,0.034087274,0.022579096,0.013006851,0.006690983,0.003540569,0.002397201,0.002223771,0.0023857022,0.002558675,0.002591396,0.0024773183,0.002316072,0.0021792024,0.0020781122,0.0019838735,0.0018986299,0.0022384904,0.006123694,0.02032668,0.053762704,0.107994534,0.17306118,0.22991216,0.2644624,0.27413705,0.26590136,0.24828734,0.22721316,0.20574813,0.18360887,0.15765518,0.12545757,0.088849165,0.05435592,0.028306402,0.012863492,0.005788591,0.0031870997,0.002338349,0.001968797,0.0018032846,0.0017582778,0.0018041703,0.0018905416,0.001970149,0.0020239567,0.0022414655,0.0030792078,0.006872248,0.019674076,0.0524528,0.11476282,0.20409922,0.2994866,0.37005365,0.39533874,0.3766131,0.33197677,0.27798778,0.2215349,0.16329932,0.10692429,0.060065333,0.028501356,0.011964723,0.00533193,0.0033186693,0.0028369834,0.0028265317,0.0030636296,0.0035065867,0.0040834285,0.004618816,0.0048458814,0.004626764,0.00406962,0.0038876792,0.0076853647,0.022406735,0.05730365,0.11237896,0.17680311,0.22957547,0.26139617,0.2745628,0.28297973,0.2900997,0.29305315,0.2831619,0.26075184,0.23187758,0.20779735,0.19612361,0.19822805,0.20793886,0.21583194,0.21463913,0.2034219,0.18707663,0.1734451,0.16745938,0.16906597,0.17302851,0.1728342,0.16589016,0.15441506,0.1451407,0.14272034,0.14923261,0.16204442,0.17737561,0.19039913,0.19924386,0.20340951,0.20313597,0.19427168,0.17249753,0.13681494,0.09451776,0.055823702,0.028319135,0.012943736,0.0062383264,0.0039429916,0.003220719,0.0028862634,0.002621093,0.0025415716,0.0041973596,0.012058561,0.034390748,0.07793329,0.14299528,0.21909492,0.29369965,0.3559911,0.40325168,0.43283,0.44478878,0.43737257,0.41326258,0.37549344,0.3321619,0.29039255,0.25664786,0.23056282,0.21215808,0.20280719,0.20599587,0.21798168,0.22824174,0.22786695,0.21784395,0.20545585,0.19334157,0.17897053,0.1625159,0.15355319,0.16225813,0.1885411,0.21775873,0.23298271,0.22713651,0.20876475,0.19071776,0.1799915,0.1736051,0.169604,0.17031978,0.17920417,0.19008876,0.19072096,0.17174941,0.13573934,0.09358317,0.058002334,0.039632034,0.047164988,0.08510067,0.14556086,0.20704083,0.24317487,0.24325061,0.21810134,0.19208188,0.18042451,0.18075967,0.17690246,0.15875493,0.13151278,0.11371244,0.11696404,0.1370544,0.15710945,0.16644435,0.16579308,0.16283886,0.1608871,0.15868767,0.15316236,0.1420113,0.12290739,0.09563467,0.06438666,0.036577024,0.017744029,0.008291216,0.0048969933,0.0039317976,0.0034765725,0.0030259455,0.0026466378,0.0023911109,0.0022534623,0.0022030247,0.0022379083,0.0023394364,0.0024507008,0.0024876753,0.0024213323,0.0023045393,0.0022462157,0.0023057328,0.0024506573,0.0025729642,0.0025920987,0.0025959408,0.002876701,0.0038767855,0.0057249423,0.00802473,0.009784959,0.010242604,0.009315485,0.0083138645,0.010848512,0.023594296,0.05371958,0.10221223,0.1589442,0.2081291,0.23902018,0.253153,0.25528762,0.24704267,0.22443171,0.1898256,0.15123005,0.11876767,0.094089895,0.073887594,0.054130796,0.03558501,0.020655992,0.011010644,0.005836657,0.0035128642,0.0025721919,0.0022339115,0.00212959,0.0021449747,0.0022470236,0.002401176,0.0025298817,0.0026515443,0.004140354,0.0099786455,0.026301011,0.057713386,0.10637554,0.16291106,0.21132052,0.2299404,0.2102106,0.15900697,0.099079005,0.05031957,0.021486782,0.00864691,0.004238037,0.002877658,0.0024093483,0.0022916729,0.0022909597,0.0022996545,0.002289722,0.0022743533,0.0022680985,0.0022840186,0.0023340797,0.0024189635,0.002511217,0.0033744278,0.008628953,0.025239894,0.06081188,0.11455379,0.17728166,0.23399544,0.27973723,0.31426337,0.3426219,0.3605851,0.3647592,0.34904313,0.31294468,0.25746205,0.19091934,0.12583113,0.073957905,0.03980179,0.02044399,0.010485194,0.0056176004,0.003531622,0.0028866408,0.0028560695,0.0030028343,0.0031676395,0.0034213702,0.0047746063,0.010954913,0.028833425,0.06497282,0.11856226,0.1787491,0.23133993,0.26994514,0.29921207,0.32485405,0.3433112,0.34261152,0.31603423,0.27149296,0.22721565,0.19742583,0.18288404,0.17289871,0.15556657,0.12563188,0.08776537,0.05133975,0.024870878,0.010238445,0.0044788313,0.0028153376,0.00241047,0.0022291474,0.0022431437,0.0028993513,0.0054244115,0.012893134,0.028876001,0.055483054,0.08828121,0.11707505,0.13003717,0.124828,0.11173731,0.1086691,0.12688641,0.16338526,0.20249484,0.22585584,0.22102477,0.18721761,0.13529176,0.082211114,0.04179645,0.018277938,0.007855245,0.004137737,0.0029619772,0.0025852907,0.0026547648,0.0029949276,0.0034449983,0.0037625208,0.004001733,0.006308507,0.016210638,0.04218078,0.088778414,0.15129949,0.21548712,0.26714832,0.30101052,0.31966674,0.32667542,0.31861222,0.2900901,0.23986168,0.17681359,0.114856504,0.06563618,0.033432823,0.015834725,0.007872197,0.0057382886,0.009484592,0.02314279,0.051669847,0.0960606,0.15177782,0.20962076,0.25914606,0.2898119,0.29531267,0.27784523,0.24802186,0.21935017,0.19999953,0.19422312,0.20396805,0.23058474,0.2675682,0.2998191,0.310498,0.29431346,0.26143265,0.22894476,0.20800304,0.19906974,0.19604342,0.19443251,0.19367565,0.19829553,0.21201538,0.23609018,0.26434824,0.287333,0.29607216,0.28853413,0.269304,0.24501874,0.21983397,0.19417591,0.16789396,0.1415714,0.11629001,0.09214762,0.06912629,0.04812217,0.031180972,0.01953965,0.012840805,0.009327081,0.007359972,0.005942418,0.004741358,0.0037385395,0.0031570708,0.0050136144,0.013445921,0.03517848,0.0721983,0.121095926,0.16987054,0.21100105,0.23949182,0.25744352,0.26162136,0.2501058,0.22288652,0.18967856,0.16259937,0.14865665,0.14585231,0.14619432,0.14408313,0.13804565,0.13241929,0.13267393,0.1429112,0.16052626,0.17746073,0.18376987,0.17607062,0.1574439,0.1365571,0.11763891,0.10160162,0.08368677,0.06304956,0.040931318,0.022722052,0.010783407,0.0051754406,0.0031578029,0.0026428115,0.002445276,0.0023210554,0.002235256,0.0029325578,0.007026291,0.020620314,0.05084899,0.10211102,0.1686256,0.23672271,0.28815317,0.31392193,0.3139556,0.29761282,0.2693788,0.2304795,0.1795578,0.12355745,0.07338898,0.038607117,0.020236721,0.014989871,0.0210096,0.040512998,0.07486477,0.11887092,0.15992247,0.18474065,0.18684347,0.17025937,0.14438334,0.118003406,0.09399233,0.071864374,0.050550167,0.031647805,0.01734615,0.00879209,0.0053948886,0.006448403,0.012737251,0.0247205,0.04170321,0.058668017,0.06997805,0.07002354,0.059314307,0.041882396,0.024937926,0.012632853,0.006130162,0.0034699084,0.0026657593,0.0024219404,0.0023360448,0.002309556,0.0023047805,0.0022880065,0.0022419568,0.0021716396,0.0025956722,0.0056085438,0.015199166,0.0355556,0.066897996,0.1048767,0.1438824,0.18345916,0.22806014,0.280246,0.33340994,0.3714532,0.37883142,0.35187587,0.30288213,0.25374743,0.21927516,0.20173402,0.18975465,0.17530279,0.15607736,0.13906366,0.128545,0.1252505,0.1233249,0.11618974,0.09901542,0.07342788,0.045751736,0.023653189,0.0103114555,0.004901409,0.0052377135,0.01191255,0.02792956,0.055047642,0.090504706,0.12514731,0.14965878,0.15793702,0.15170439,0.13432848,0.10984442,0.08087902,0.05218965,0.028977767,0.01418445,0.0070147743,0.0043340432,0.0035970577,0.0033998305,0.0033066382,0.003150828,0.002957927,0.00327327,0.0053160987,0.012234005,0.02773857,0.05579807,0.09509965,0.1409298,0.18440367,0.22102892,0.24778886,0.26351157,0.26369074,0.24560003,0.21277235,0.17507704,0.14402775,0.123185106,0.10922616,0.09347715,0.07252305,0.04803581,0.026794031,0.012564388,0.0057028127,0.0031797534,0.0025466029,0.0026941895,0.0068770684,0.02431383,0.070885785,0.15537243,0.2683581,0.37419984,0.4369544,0.44007742,0.40329182,0.3553966,0.3174455,0.28852335,0.265097,0.2475049,0.24076213,0.24384354,0.24909627,0.2511566,0.25017056,0.25079644,0.25196078,0.24856031,0.23593885,0.2188975,0.20739943,0.20717634,0.21315914,0.21685193,0.21512164,0.21050876,0.20138882,0.18152188,0.14761385,0.10978335,0.08595881,0.09240347,0.13183282,0.19316654,0.25191155,0.2819468,0.26709652,0.21538185,0.15552983,0.12230524,0.13212638,0.17228861,0.2087896,0.21178742,0.1756456,0.118775584,0.06593423,0.03077569,0.013316281,0.0066985004,0.005135454,0.005391286,0.006089252,0.0064185974,0.006119085,0.006190034,0.010054664,0.023635313,0.052496526,0.09600828,0.14665256,0.19247212,0.22597905,0.24287723,0.24425878,0.23259902,0.21624339,0.20304705,0.19736117,0.19654228,0.1958695,0.191522,0.18099661,0.16494896,0.14750205,0.13473974,0.12678365,0.11877022,0.106226325,0.09256794,0.0837233,0.08080102,0.0774413,0.06715437,0.04989381,0.032011047,0.021377368,0.023253247,0.038716797,0.06371372,0.08919558,0.10412704,0.101640515,0.08294355,0.057085205,0.034809668,0.024488665,0.02918624,0.049637336,0.08352408,0.12525775,0.16212648,0.17921394,0.16698308,0.13008961,0.08390531,0.04476283,0.020159744,0.008488877,0.0041780085,0.0027881998,0.0026095381,0.0054147816,0.017321175,0.0476438,0.10168778,0.17275888,0.24187012,0.2900004,0.3107058,0.31121865,0.30083525,0.28369007,0.2604733,0.23696643,0.21968208,0.20984326,0.19686048,0.17041661,0.12858368,0.0823777,0.044107303,0.02026038,0.008651071,0.004529417,0.0056747994,0.014457594,0.03523405,0.06747355,0.1027081,0.12790366,0.13626802,0.13282879,0.12897988,0.13135211,0.1347385,0.12876545,0.107445806,0.07577937,0.044439126,0.021887138,0.009686058,0.0045894287,0.0028284732,0.002204416,0.0019709324,0.0020066195,0.0025657269,0.0052346755,0.013763852,0.034797247,0.07374815,0.13041608,0.194053,0.24852753,0.27863336,0.2800094,0.25882298,0.23026969,0.20922613,0.20532466,0.21682806,0.2333513,0.24060182,0.23124526,0.20945054,0.18854171,0.17865314,0.17911585,0.1811796,0.17950839,0.17773551,0.18273228,0.19515647,0.20768589,0.21148498,0.20320593,0.18530595,0.16450351,0.14786617,0.14021583,0.14000338,0.14049369,0.13596816,0.12615405,0.11604526,0.10884524,0.104150005,0.09803981,0.087824084,0.07308648,0.055928826,0.039128557,0.024914166,0.01449442,0.007933981,0.0045890906,0.0033327478,0.0031670986,0.003418278,0.003744415,0.003926164,0.0038320776,0.004123651,0.00779381,0.021031668,0.050545413,0.097254455,0.15232362,0.20039578,0.22957903,0.23857035,0.23707797,0.23726557,0.24473095,0.25231257,0.24599302,0.2158041,0.16556935,0.109473646,0.062276896,0.030786296,0.013738916,0.006147269,0.0033428883,0.0025826127,0.004465066,0.012716159,0.033921953,0.06966791,0.11411222,0.15162526,0.16927506,0.16194789,0.13881475,0.11633209,0.11081826,0.12716006,0.15415774,0.17356169,0.17457682,0.16310047,0.15159225,0.14474635,0.13520974,0.113890894,0.08164925,0.048027366,0.023089832,0.009476927,0.0042349505,0.0027469893,0.0025013331,0.003122655,0.0059151636,0.014034293,0.032164667,0.06689492,0.12180153,0.19327967,0.26368895,0.30845463,0.30683458,0.25872204,0.18320368,0.108338796,0.05317469,0.023309685,0.014399576,0.021976635,0.043176096,0.07741489,0.120013334,0.16387804,0.1958176,0.20672067,0.19425803,0.1709968,0.15525684,0.16149323,0.19059734,0.22829063,0.25751314,0.26603243,0.25889882,0.2471738,0.2432341,0.24747296,0.25569877,0.2614695,0.2616904,0.25442252,0.2380835,0.2136851,0.1852821,0.15936287,0.14023472,0.12659876,0.11361586,0.09584582,0.07323507,0.049138725,0.028976807,0.01525763,0.007856086,0.0045714057,0.0033310931,0.0028314006,0.0025426645,0.002361121,0.0023205662,0.0024502457,0.0026846835,0.0028591687,0.0028407527,0.0026162646,0.0023220263,0.0023677715,0.005309148,0.018861597,0.056092937,0.1266646,0.22361952,0.31932303,0.3802491,0.3877066,0.3484058,0.2849467,0.2246532,0.18519431,0.17146616,0.1700636,0.16300909,0.13794777,0.09957395,0.060130995,0.03084831,0.014038597,0.0067184535,0.0049259183,0.0071169864,0.014216016,0.027798878,0.05110306,0.09029982,0.15410744,0.2443748,0.34576297,0.42453298,0.44643295,0.39868984,0.30108616,0.19118516,0.10248961,0.047309246,0.02058752,0.010001713,0.007122574,0.009728581,0.021344053,0.04618603,0.084360145,0.12758632,0.16425967,0.186529,0.19614686,0.19747983,0.19214456,0.17840272,0.16249461,0.1585236,0.17863406,0.2159257,0.24996243,0.26368955,0.2598926,0.251957,0.24872345,0.24774794,0.24407202,0.23651242,0.22374253,0.2013128,0.16483559,0.118325226,0.0724169,0.037566453,0.01690638,0.0074059065,0.004383153,0.005921899,0.014917272,0.037256837,0.07786372,0.13423091,0.19660197,0.25120482,0.28763375,0.29856613,0.28106275,0.23654754,0.17542385,0.11297279,0.063228846,0.031107808,0.014244962,0.00668107,0.0038617188,0.0029325744,0.0027158915,0.002654286,0.0026041996,0.0026725044,0.005760906,0.019308412,0.05553651,0.11947242,0.20037918,0.26878574,0.2983003,0.28294304,0.24385025,0.21050787,0.20070337,0.21132128,0.22411518,0.22160675,0.19908486,0.16837847,0.1478718,0.14846064,0.16709931,0.192636,0.21701056,0.23870362,0.25672162,0.26385722,0.2496144,0.20967604,0.15258095,0.09456397,0.04978536,0.022746762,0.010104143,0.0063225846,0.009495493,0.022359759,0.04932339,0.09046688,0.1394156,0.18488114,0.21721618,0.23032643,0.22381513,0.20193772,0.17386055,0.14851296,0.13017131,0.11799547,0.110724606,0.108479105,0.11053613,0.113088615,0.11189091,0.105543435,0.09584702,0.0863517,0.07934863,0.07485202,0.06903568,0.058427732,0.042719495,0.026371842,0.013922044,0.0071726493,0.007633652,0.020165993,0.055654556,0.11752724,0.19676761,0.26594773,0.30512622,0.30967972,0.29792786,0.2833116,0.26699102,0.23645286,0.18709709,0.12727684,0.07360817,0.0364608,0.016449733,0.0076088044,0.0042974427,0.0031278,0.00457209,0.013547943,0.03944949,0.08761495,0.14959599,0.20036131,0.21431522,0.18446164,0.12923706,0.07930774,0.05950578,0.0786498,0.12658896,0.17931055,0.20896168,0.20149629,0.16268037,0.11252586,0.06830477,0.037704054,0.019395081,0.010665335,0.0128870355,0.0331616,0.08012353,0.150192,0.2253288,0.27966988,0.30440223,0.30735528,0.3046858,0.29863358,0.28506723,0.2619684,0.23933375,0.22678505,0.2276011,0.2348413,0.24059178,0.23558271,0.21458422,0.1754474,0.12642388,0.08110982,0.054825112,0.053546637,0.073782265,0.101230495,0.120568275,0.11985585,0.09998419,0.070895344,0.048693012,0.04541652,0.065595694,0.10286478,0.14233308,0.16651735,0.16408944,0.13633639,0.09531039,0.05785251,0.037783895,0.04482487,0.079500474,0.13486837,0.1918108,0.23128724,0.23726226,0.20981152,0.15883285,0.10288292,0.05636269,0.02651322,0.011402228,0.005440349,0.00350974,0.002887001,0.0026451622,0.0025569175,0.0034716341,0.008822734,0.026137799,0.06462458,0.12840222,0.2110926,0.29612136,0.36707696,0.41309857,0.43382505,0.43128204,0.41032124,0.37356403,0.32836217,0.284475,0.2536626,0.23874955,0.23280714,0.22316968,0.20508732,0.18305218,0.1674671,0.16273218,0.16654494,0.17123084,0.17172927,0.16720657,0.15926102,0.14764906,0.1294884,0.10360067,0.073315,0.04529542,0.024957782,0.01434828,0.0139295235,0.025038613,0.04890992,0.0834583,0.120022155,0.1474822,0.15734218,0.15150079,0.13850288,0.13003625,0.13046409,0.13840282,0.1457942,0.14614736,0.1349552,0.114391446,0.08959398,0.06686699,0.0485405,0.03417638,0.022365615,0.013282314,0.007410582,0.004847853,0.0071177357,0.01981858,0.05223391,0.107055515,0.17301671,0.22538976,0.24527906,0.23388837,0.21226175,0.2035286,0.21621953,0.24477623,0.27540818,0.29809833,0.30740866,0.3060331,0.29966268,0.29287764,0.28609467,0.27806124,0.27027532,0.26368132,0.25522956,0.23840292,0.21181108,0.18164666,0.15647958,0.13727014,0.11892909,0.097492374,0.078699686,0.07261651,0.08442732,0.107841335,0.13221215,0.15152095,0.17035787,0.19561301,0.23007263,0.2647271,0.28833923,0.29548255,0.2935336,0.29214987,0.28986058,0.2739384,0.23249803,0.17039283,0.1047136,0.05347384,0.02289561,0.009225369,0.004702301,0.0037582926,0.0038641598,0.0043173637,0.0048127547,0.0052958424,0.007396472,0.015928805,0.0383981,0.078152515,0.12846613,0.17240852,0.19707261,0.20294012,0.2022487,0.20131373,0.19530828,0.17679818,0.1514706,0.13447338,0.1349386,0.14415215,0.14414537,0.12411169,0.08899797,0.052573588,0.025831202,0.011186344,0.00513074,0.00322221,0.0029833047,0.003974568,0.007014686,0.01301226,0.022928288,0.03920464,0.06776402,0.11436683,0.17613702,0.23469718,0.2642384,0.24866207,0.19507094,0.12738703,0.06976633,0.032851394,0.014422436,0.006923334,0.00427447,0.0033707367,0.0030489175,0.0030456528,0.003923456,0.0073800273,0.016632186,0.035102963,0.064668484,0.1014151,0.13569574,0.15410513,0.14882678,0.12161338,0.08430187,0.049625937,0.025429232,0.011975806,0.005933165,0.0035761234,0.0027332052,0.0024267246,0.0023348054,0.0023362727,0.0023710104,0.0037898533,0.010232865,0.02924574,0.06572551,0.11869074,0.17383224,0.21559264,0.23042089,0.21988535,0.19027783,0.1561179,0.13006832,0.124971695,0.13982733,0.16072603,0.16561091,0.14446227,0.103962325,0.062160823,0.031642824,0.015142237,0.007782998,0.0048089265,0.003470962,0.0029026635,0.0026839755,0.0026063332,0.0025575135,0.0025138846,0.0030474297,0.0074379765,0.023774602,0.0637197,0.13250726,0.21849887,0.29216838,0.3256141,0.3129678,0.27377936,0.23170517,0.19470148,0.15613523,0.11108736,0.065988846,0.031586405,0.012474113,0.0050116037,0.0029806264,0.0025080238,0.0023049142,0.0022668522,0.0029404152,0.006340701,0.017158374,0.0412334,0.0825189,0.13738418,0.1965648,0.24854653,0.29031357,0.3235794,0.35350826,0.37619343,0.38501057,0.37122598,0.3359126,0.28657484,0.2356862,0.19134195,0.15464161,0.121828265,0.089710824,0.059641227,0.03506703,0.01860382,0.009849691,0.007354522,0.011416721,0.025852086,0.056818556,0.10749006,0.17319113,0.24002214,0.2916733,0.31859553,0.32166693,0.30979887,0.29051638,0.2708495,0.2549367,0.24813096,0.24762762,0.24296997,0.22029543,0.17573476,0.119772196,0.06872259,0.033693854,0.014993294,0.0071739866,0.004394509,0.0035621177,0.003681421,0.004779069,0.006730924,0.008993241,0.010433566,0.010396737,0.0092809545,0.010403954,0.021171818,0.051847905,0.10858563,0.18455885,0.26072583,0.31819975,0.35271356,0.37261772,0.383734,0.38021722,0.3517758,0.30003867,0.2384447,0.1823215,0.13596095,0.098065086,0.06900828,0.0573929,0.07130519,0.11390229,0.17573617,0.24296291,0.2992557,0.33774266,0.35685292,0.35972932,0.3478799,0.32396603,0.29402366,0.26287323,0.23180656,0.1982854,0.16584867,0.1443713,0.14384367,0.16566305,0.20059459,0.23564275,0.25592038,0.251458,0.21743391,0.16263147,0.10371048,0.061486736,0.048760664,0.068234645,0.10993606,0.15670107,0.19063242,0.20362347,0.19820438,0.18616305,0.1770484,0.17638807,0.1790211,0.17641205,0.16019066,0.13188352,0.10087197,0.07792622,0.06748832,0.06487154,0.06242642,0.05420081,0.04303807,0.038736846,0.056568515,0.10571132,0.18362625,0.27226773,0.34873095,0.39447072,0.40154907,0.37073508,0.30890504,0.22915174,0.14832954,0.082222946,0.038637668,0.015886014,0.006753605,0.0039416486,0.003306114,0.0032319718,0.004403108,0.009950549,0.025525568,0.055829536,0.09987094,0.15094507,0.19929063,0.23903042,0.26743683,0.28752872,0.30210704,0.31181988,0.30937707,0.28707102,0.24701543,0.20642008,0.18413328,0.18295817,0.18566327,0.17276879,0.14084591,0.104535826,0.08143354,0.07997065,0.098421015,0.12943085,0.1607017,0.17652345,0.1650896,0.12844482,0.08166219,0.04217118,0.018107923,0.0075070946,0.0041490607,0.004503887,0.009371684,0.023501977,0.050581586,0.09127315,0.13992131,0.18933861,0.23016077,0.2541298,0.25386387,0.22894962,0.18852341,0.14616781,0.11245323,0.08760381,0.06751364,0.047961563,0.03006261,0.016208326,0.008194116,0.00546927,0.007954589,0.01738069,0.037588034,0.070022464,0.11085234,0.14996332,0.176623,0.18429923,0.17303996,0.14764838,0.11516219,0.08275496,0.055549268,0.035372715,0.021579532,0.012602466,0.007335073,0.004919039,0.0055809394,0.0122065395,0.03057866,0.06682086,0.1194158,0.17617504,0.21526831,0.22013533,0.18785596,0.13422038,0.08004749,0.041455623,0.021127589,0.014081448,0.013518774,0.017512506,0.028656386,0.051375926,0.085653126,0.12428542,0.15361494,0.1620363,0.14615293,0.11348179,0.076068416,0.044477697,0.023229038,0.012302504,0.009895284,0.015624128,0.029885551,0.051285475,0.07357628,0.08778206,0.08719102,0.07251544,0.050691698,0.030201083,0.015876787,0.008147222,0.0050964244,0.0066747367,0.017613685,0.047038857,0.1008616,0.17365687,0.2473896,0.3019873,0.32550713,0.31621626,0.27774784,0.21778476,0.14930524,0.08799421,0.044605438,0.02025674,0.009247704,0.005052466,0.004977086,0.011337717,0.03128003,0.06999624,0.123754,0.1752926,0.20698686,0.21334189,0.20934032,0.21259159,0.23036945,0.25084916,0.25942448,0.24855329,0.22273839,0.19092804,0.1610482,0.14209634,0.13982229,0.1550283,0.17415464,0.18017544,0.16101025,0.12187064,0.07703314,0.041324757,0.021748692,0.020868456,0.041245278,0.08578533,0.15317942,0.23448789,0.31612623,0.38732544,0.4413693,0.4740964,0.47837996,0.45219076,0.40210715,0.34493867,0.29275832,0.24912326,0.21182106,0.18488748,0.17325167,0.17405678,0.17146622,0.15121533,0.11260232,0.06921812,0.03519972,0.015755558,0.007399263,0.0046226806,0.0047878544,0.009439568,0.024160827,0.055131476,0.1044664,0.16322625,0.21519478,0.2431026,0.24296282,0.22251074,0.19927989,0.18558685,0.18577266,0.19288082,0.19767196,0.19459169,0.18534331,0.1761319,0.17228389,0.17628674,0.18758203,0.20400982,0.22277875,0.23895335,0.24642134,0.23951793,0.21785985,0.18600564,0.14974384,0.11266729,0.07703296,0.04625305,0.023880951,0.01096753,0.005273893,0.0033698995,0.0028841014,0.0034489508,0.0071681514,0.018782472,0.04379678,0.08441138,0.13579363,0.18672013,0.2242075,0.2401648,0.23462738,0.21699466,0.20115109,0.19979642,0.215555,0.23983037,0.2572728,0.2571167,0.23963998,0.2158872,0.19936328,0.19707693,0.20384686,0.20662515,0.19443263,0.16871202,0.14131564,0.12461534,0.11999315,0.11834308,0.10873147,0.08905842,0.06742256,0.055749375,0.059722472,0.075843684,0.09493246,0.11083501,0.12113444,0.12509765,0.11868789,0.10004092,0.0720513,0.04385188,0.022575723,0.010688398,0.0054596253,0.0036957131,0.0031462566,0.0034328315,0.007915881,0.02469098,0.0655755,0.13333671,0.21594203,0.28538755,0.32121888,0.320191,0.29993036,0.2745855,0.24737085,0.20937699,0.15855753,0.10254234,0.055712234,0.025434157,0.010804978,0.0052128364,0.0034887018,0.0029155395,0.0028153732,0.0029336128,0.0031296546,0.0032592064,0.0036587447,0.006744679,0.018182406,0.045143027,0.08846384,0.13693605,0.16928811,0.16948801,0.13796107,0.09186966,0.05034417,0.023722036,0.01131047,0.008302566,0.010193477,0.014164603,0.01833642,0.024293507,0.03844441,0.06987248,0.11922777,0.17225452,0.2036885,0.19690816,0.15595932,0.10244095,0.057110276,0.0285673,0.0146367205,0.012312985,0.023177883,0.051275786,0.09466032,0.14405599,0.18614541,0.216596,0.23725033,0.2525855,0.25755474,0.24711548,0.22163355,0.19379829,0.17706019,0.17916815,0.19651742,0.21856938,0.2304811,0.22070843,0.18642354,0.13670467,0.08637965,0.047358695,0.023333924,0.011344486,0.0064992253,0.0054186904,0.00736212,0.014731944,0.030921651,0.058460373,0.093291886,0.12891412,0.15936565,0.18841092,0.21972145,0.25156537,0.2702663,0.2664541,0.24283795,0.21522994,0.19549994,0.18418251,0.17325991,0.15834777,0.1432245,0.13464868,0.13449262,0.13713281,0.13492729,0.12493223,0.11077859,0.09850701,0.089667,0.08078021,0.06715045,0.048992265,0.030615635,0.016841045,0.0089889895,0.0055918656,0.0056079053,0.011818546,0.031916562,0.07304904,0.13418426,0.20063524,0.25054756,0.2668914,0.24771279,0.2055816,0.15895002,0.123028725,0.104400516,0.10204501,0.10950617,0.11843461,0.1224395,0.12070625,0.11824576,0.11929966,0.12290555,0.123838544,0.12169396,0.121876486,0.13102452,0.14750113,0.16525592,0.17878348,0.18935202,0.19992854,0.21304728,0.22628753,0.23273754,0.22165392,0.1878103,0.13677014,0.08435569,0.044135574,0.021066278,0.010862012,0.007802352,0.009279799,0.017830262,0.037994545,0.06973644,0.10538224,0.13299002,0.1476541,0.15394431,0.16137038,0.17444406,0.19282097,0.21400237,0.23356342,0.24261801,0.22977906,0.19105573,0.13529946,0.08019948,0.04165472,0.027427541,0.038627874,0.0717855,0.11955708,0.17088853,0.21525459,0.24776162,0.26898363,0.28148946,0.28466114,0.27556998,0.2508023,0.21085413,0.16070269,0.10949922,0.06719314,0.042104438,0.038789224,0.05637467,0.087085746,0.11760422,0.13490616,0.13327716,0.115845956,0.09087277,0.06587141,0.04671572,0.0386783,0.04817163,0.08098089,0.13716905,0.20636638,0.26652578,0.29524636,0.28128847,0.23416042,0.1732785,0.11819687,0.07649908,0.04911713,0.03213743,0.02289479,0.018290257,0.016389867,0.015997956,0.01753626,0.022307364,0.030649975,0.040606618,0.0476574,0.04784739,0.0401985,0.027999595,0.015888413,0.007280504,0.0026607139,0.0008324487,0.000276655,0.00013039086,7.487258E-05,5.4165226E-05]