[0.0037749726,0.0036340554,0.0033946184,0.0032460585,0.0032993972,0.0035477933,0.003906375,0.004294131,0.0046618455,0.004998999,0.0053157876,0.0056250673,0.0059231934,0.0061924085,0.006397683,0.006475694,0.0063174474,0.005822692,0.005058346,0.0048420406,0.007428966,0.016819,0.03681341,0.06782111,0.1043187,0.13694815,0.15750076,0.16334665,0.15717077,0.14378637,0.1271547,0.1096643,0.09260851,0.07671941,0.062486555,0.050513532,0.041502755,0.035771098,0.032700803,0.03084635,0.028754117,0.025730178,0.022114726,0.018846272,0.01770609,0.021849252,0.036596235,0.06651437,0.11143142,0.16269647,0.20699716,0.23290743,0.23762405,0.22655594,0.2092427,0.19367139,0.18328033,0.17701338,0.17174786,0.16534285,0.15792067,0.15130745,0.14711863,0.14552218,0.14502625,0.14341189,0.13879435,0.13022602,0.11797663,0.103400104,0.08892957,0.07724493,0.070210464,0.06760322,0.067223184,0.0663838,0.0638741,0.06061384,0.058266122,0.05730793,0.056228712,0.052740227,0.045616876,0.03577457,0.025653875,0.0176766,0.012862764,0.010636377,0.009674037,0.008948258,0.008195336,0.0076342807,0.007510966,0.0078061637,0.008304487,0.008783759,0.009168412,0.009529382,0.009930036,0.010284603,0.010358761,0.009945418,0.009237512,0.009723295,0.014886461,0.030082412,0.059103105,0.10102818,0.14835843,0.1916852,0.22383982,0.24341948,0.25197044,0.2521098,0.24522191,0.23334919,0.22027302,0.21301176,0.21875514,0.24053364,0.2729763,0.3043985,0.32284155,0.32187295,0.30132386,0.26506263,0.21956277,0.17304663,0.13342497,0.104837865,0.08693766,0.07682968,0.071666874,0.06903831,0.0670358,0.06507314,0.0647899,0.06917847,0.080037594,0.09590599,0.112097085,0.12300989,0.1251909,0.11926981,0.10954603,0.10167218,0.099542834,0.10377038,0.111721575,0.11983172,0.12539919,0.12813105,0.12962247,0.1322782,0.13717031,0.1426155,0.14455406,0.13914287,0.1258791,0.108122505,0.0909724,0.07798397,0.06979787,0.06466609,0.060239628,0.055141255,0.04969223,0.045423817,0.043558095,0.04378059,0.0442466,0.043040413,0.039690357,0.035497848,0.032376718,0.03126334,0.0316989,0.033033717,0.03633359,0.045025766,0.06320595,0.0925464,0.12991695,0.1680345,0.19874871,0.21696667,0.2220992,0.2165702,0.20295148,0.18252797,0.1559971,0.12530135,0.09431929,0.067639165,0.048495952,0.03818198,0.037774276,0.049853504,0.07726634,0.11940807,0.16957055,0.21711679,0.25188875,0.26814613,0.26491174,0.24557824,0.2168328,0.18729836,0.16457854,0.1524415,0.15010627,0.1538235,0.15949017,0.16432136,0.16733761,0.16868798,0.16864508,0.16709821,0.16374257,0.15878414,0.15302037,0.14764288,0.14362784,0.14164479,0.14166772,0.14360668,0.15013759,0.16984518,0.21658964,0.2966334,0.3979204,0.4879295,0.5372477,0.53704244,0.5051808,0.4643992,0.42809024,0.39557275,0.3643587,0.33599246,0.31564033,0.30514854,0.30091497,0.2963898,0.28676513,0.27132604,0.2520965,0.23248667,0.2150405,0.2019568,0.19367261,0.18984081,0.188151,0.18628792,0.18222481,0.17613666,0.16925608,0.16335496,0.15930091,0.15751754,0.15791559,0.15986647,0.16155495,0.16079517,0.15678798,0.15141012,0.14784743,0.14767778,0.1492185,0.14880455,0.1436525,0.13364017,0.1209986,0.10871061,0.099022396,0.09285913,0.089944005,0.08939754,0.0902639,0.09197665,0.09432838,0.09728533,0.1007174,0.10457284,0.109107696,0.11479335,0.12176029,0.12918787,0.13545524,0.13877809,0.13797623,0.13256015,0.12247595,0.10789073,0.08962128,0.070040815,0.05351377,0.04497314,0.046638608,0.055719376,0.06587421,0.072512746,0.076395296,0.08237964,0.09371293,0.10856893,0.12145052,0.12789004,0.12743472,0.122833334,0.11750869,0.11344555,0.11099548,0.10942594,0.10791698,0.10616907,0.104575686,0.10391084,0.10476742,0.10730333,0.11107815,0.11527323,0.11880366,0.12063715,0.1199676,0.116490774,0.11058105,0.103176855,0.095368415,0.0878728,0.08096705,0.07473756,0.069263786,0.064443424,0.059620053,0.053762197,0.046341177,0.03875731,0.034938287,0.039690167,0.05527078,0.07857838,0.102615096,0.1207307,0.1306353,0.13378365,0.13275082,0.12870403,0.12183022,0.11212748,0.10018138,0.086834945,0.073194,0.060385894,0.049399335,0.04072399,0.034358304,0.030101856,0.027761267,0.027120471,0.027667912,0.02866196,0.029369356,0.029433116,0.02893865,0.028195666,0.027525628,0.027136428,0.027299268,0.028148664,0.029432053,0.030296726,0.029892059,0.02798385,0.025063291,0.021763245,0.018553635,0.016011555,0.014933799,0.015925864,0.018688941,0.022130942,0.024921568,0.02618502,0.02559495,0.023455404,0.021068553,0.021038743,0.026801758,0.040339146,0.060370088,0.08192891,0.099536814,0.10992473,0.11363691,0.113092124,0.110845506,0.1082202,0.10578075,0.10375777,0.10239014,0.10170738,0.10133591,0.10068384,0.09935063,0.097514845,0.095644675,0.09410188,0.09272599,0.09097072,0.08800054,0.08299885,0.07552725,0.06623871,0.057047863,0.050892282,0.0512208,0.06146145,0.083316095,0.11291451,0.14020067,0.15272966,0.14564568,0.12418964,0.10045427,0.082875766,0.073589005,0.06955305,0.06787926,0.0669216,0.06612888,0.06491914,0.06426295,0.0674355,0.08039096,0.104220875,0.13245197,0.14977074,0.14629306,0.12240425,0.09116841,0.064696066,0.04956172,0.04365969,0.042381372,0.04076049,0.03670969,0.03041766,0.025414774,0.02647013,0.039226525,0.06317701,0.09111353,0.108510636,0.107199766,0.08909491,0.06851174,0.059340578,0.0681852,0.08958784,0.11053685,0.11925552,0.111742295,0.095004015,0.08061344,0.07978835,0.094544865,0.11794921,0.13466185,0.13413075,0.11513695,0.08862909,0.0658173,0.05322123,0.04883227,0.047588617,0.044436578,0.037942752,0.029962203,0.024716062,0.02646613,0.037343588,0.055055067,0.07256574,0.08150659,0.07778406,0.06498786,0.05308515,0.054299872,0.07816545,0.12740844,0.19467323,0.26509163,0.32296073,0.3604261,0.37856385,0.3824017,0.37278637,0.34581813,0.29842767,0.23655415,0.17474675,0.13022095,0.11552601,0.13604484,0.18879135,0.2603525,0.3292568,0.374733,0.38860777,0.37838557,0.35870934,0.34022927,0.32326058,0.30289292,0.27444872,0.23956603,0.20402098,0.17515837,0.15700535,0.14962943,0.14976488,0.15222567,0.1515383,0.14497761,0.13603394,0.13359846,0.14400756,0.16488682,0.18496232,0.19488831,0.19249721,0.18357521,0.1736002,0.16514443,0.15695208,0.14754523,0.13693474,0.12904398,0.12998937,0.14713897,0.18440308,0.24209122,0.31053233,0.3720297,0.40459955,0.39856717,0.3620614,0.31692976,0.28192165,0.26458755,0.2624681,0.27076373,0.28571713,0.30453458,0.3235406,0.33853593,0.34339246,0.33276626,0.30367446,0.26211825,0.21916355,0.18784307,0.17564881,0.18795882,0.22547962,0.28066078,0.33352336,0.3617877,0.35750178,0.33206668,0.30612054,0.29190913,0.2899218,0.29295495,0.29584017,0.29683137,0.29940394,0.308375,0.32710475,0.34851834,0.35664085,0.33353606,0.2772114,0.20433009,0.14361243,0.11737263,0.13200285,0.17638303,0.22918229,0.27099094,0.29256582,0.29738304,0.2942541,0.29118478,0.29146394,0.29490447,0.29874423,0.30028126,0.29903027,0.29982197,0.31180337,0.3427054,0.3888593,0.43244088,0.45122144,0.43626717,0.3977771,0.3560548,0.32556495,0.30960456,0.30378935,0.30233067,0.30129144,0.3000362,0.3007889,0.3067981,0.31758264,0.3295175,0.33638373,0.33656076,0.33104312,0.32562757,0.32494792,0.33549547,0.35634354,0.37959716,0.3874941,0.37073734,0.33363667,0.29572463,0.27317107,0.2719958,0.28628957,0.30627647,0.32249662,0.32941684,0.3283892,0.32772598,0.33843493,0.36225784,0.3872356,0.3909031,0.36103034,0.30494392,0.248864,0.21716674,0.21944703,0.24718328,0.28235158,0.30893472,0.31840768,0.31311426,0.30078617,0.29102933,0.28816223,0.29131413,0.29502213,0.29544494,0.29231343,0.29103673,0.29907492,0.32259378,0.35710382,0.38763773,0.39420614,0.37113985,0.32939747,0.29147306,0.27114585,0.27066776,0.28159884,0.29507062,0.30373225,0.3055819,0.30268633,0.2997785,0.2975601,0.2910376,0.27161506,0.23567213,0.1878547,0.14117111,0.11171051,0.1155447,0.16035976,0.23754816,0.31966126,0.3749175,0.3876041,0.3663286,0.33390036,0.3091307,0.29880503,0.2990903,0.30267584,0.30398512,0.30251464,0.30316603,0.31361306,0.337751,0.37079763,0.3979244,0.4036624,0.38149425,0.33951977,0.29484308,0.26274326,0.25043055,0.2535847,0.26422143,0.27309588,0.27824533,0.28075495,0.2869673,0.29973304,0.3196886,0.3403729,0.35587204,0.3610506,0.35806695,0.35211504,0.35168323,0.35817754,0.36581263,0.36094317,0.3381479,0.3024572,0.269937,0.25143197,0.24980931,0.25829443,0.2692474,0.27648404,0.27812693,0.2747983,0.26883867,0.26084128,0.2492711,0.23046939,0.20349638,0.17140587,0.14358617,0.13209037,0.15030076,0.20115389,0.27322057,0.33839187,0.37364534,0.3725494,0.3515515,0.33017537,0.31997257,0.31895027,0.32093123,0.32115865,0.31897044,0.31668973,0.31811333,0.32739505,0.34288573,0.35551918,0.34910715,0.3149088,0.25867167,0.20225836,0.16839091,0.16793258,0.194744,0.23099677,0.25999328,0.2732592,0.27378023,0.26856828,0.2638016,0.26109257,0.25980166,0.25838113,0.2562206,0.25421175,0.25629255,0.26903522,0.29816774,0.3413928,0.38567612,0.41286752,0.41365206,0.39349,0.3683944,0.3511027,0.3448585,0.3442037,0.34203246,0.33433846,0.32200813,0.30919933,0.29940143,0.29113844,0.2780836,0.25305024,0.21551357,0.1723618,0.13679193,0.12158033,0.13761002,0.18466753,0.24936002,0.30458984,0.32939526,0.3202153,0.2939974,0.26956132,0.25641036,0.25202164,0.2508014,0.24933462,0.24838205,0.25127435,0.2633156,0.2871218,0.31895056,0.34441033,0.3463278,0.31415284,0.25619382,0.19468598,0.1564791,0.15441151,0.18396038,0.22446255,0.25673667,0.27081636,0.27105108,0.2655007,0.26083004,0.25830206,0.25737154,0.25699282,0.25693694,0.25852004,0.26595873,0.28489676,0.3178213,0.3576102,0.3889815,0.39666185,0.37749568,0.3413452,0.30256614,0.2688559,0.23912953,0.21022053,0.18214302,0.15870708,0.14351958,0.13935499,0.15045477,0.18056744,0.2295848,0.2866069,0.3373262,0.36975527,0.3838481,0.38496062,0.37954912,0.367817,0.34626797,0.310495,0.26102206,0.20445864,0.15222757,0.11493058,0.09943351,0.10696057,0.13433827,0.17358148,0.21325678,0.24102287,0.24794634,0.23271394,0.20229632,0.17000167,0.14786787,0.1411587,0.14527345,0.15176179,0.15433623,0.1531735,0.15090649,0.14780523,0.13987184,0.12354797,0.10138315,0.08198938,0.07426366,0.08064263,0.09678475,0.11564236,0.13231988,0.14491904,0.15523838,0.16944957,0.19892508,0.2523632,0.32544044,0.39631763,0.43925843,0.44293788,0.41694906,0.37873197,0.33908165,0.29878172,0.25795576,0.22032924,0.19229448,0.17667429,0.17322676,0.18042439,0.19693965,0.21887882,0.23659776,0.23755418,0.21365051,0.16943036,0.12033752,0.083426274,0.065478295,0.060997184,0.059107643,0.05453104,0.05094346,0.056804642,0.07761012,0.11288377,0.15698338,0.20202143,0.23865657,0.25886163,0.25837764,0.24037516,0.21337008,0.1868691,0.16571486,0.14895059,0.13266118,0.114177875,0.09545839,0.08327889,0.087118395,0.11293379,0.15730391,0.20513885,0.23698993,0.23999846,0.21585356,0.17789918,0.14183913,0.1172613,0.10584667,0.104532085,0.109128214,0.11587399,0.12232429,0.12860914,0.1376006,0.15226306,0.17109771,0.18724896,0.19229142,0.18305635,0.16425435,0.14525557,0.13235496,0.12404895,0.11307589,0.094295375,0.07015078,0.049399506,0.040588927,0.046815377,0.064856045,0.08756583,0.10766075,0.12066343,0.12631847,0.1271432,0.12604788,0.124417156,0.12234204,0.11953435,0.11628062,0.11324024,0.110949434,0.109183274,0.10716619,0.10427519,0.10078486,0.09736187,0.09379097,0.08829269,0.07935619,0.068010174,0.058453333,0.05465238,0.057902772,0.06572264,0.07597787,0.09006694,0.11636541,0.16568752,0.24130897,0.33013594,0.40637156,0.44982347,0.4581224,0.44593763,0.42861596,0.41440633,0.40331104,0.39437482,0.38593876,0.37705103,0.3672552,0.36124483,0.36692905,0.38808647,0.41586724,0.43127453,0.42059577,0.38653925,0.3467842,0.3198959,0.31592312,0.33482113,0.36844063,0.4043297,0.4283038,0.43149325,0.41019848,0.36883545,0.31576344,0.2652397,0.2269852,0.20322879,0.18492655,0.16416298,0.13946742,0.117554896,0.10356929,0.09739662,0.09386182,0.08986637,0.086657844,0.090611845,0.10880059,0.146177,0.20120077,0.26405874,0.31799546,0.34475818,0.3339416,0.28866372,0.22718601,0.17217489,0.13963181,0.12983991,0.13336343,0.13965788,0.14469105,0.14926702,0.1556143,0.16422375,0.17265755,0.17577685,0.16847028,0.15022789,0.12723906,0.10866046,0.09997585,0.09870261,0.097616725,0.09083804,0.07972691,0.07125422,0.07319233,0.088568844,0.11464568,0.14571206,0.17443042,0.19470793,0.20185578,0.19631606,0.18217117,0.16593994,0.15183806,0.14086,0.13080989,0.11945579,0.10736198,0.10018244,0.10753405,0.137484,0.18977995,0.25213492,0.30505225,0.3310276,0.3237088,0.2905403,0.24809138,0.21245016,0.19048883,0.17894523,0.17089367,0.16313237,0.15890886,0.16576654,0.19057076,0.23415273,0.28609905,0.3281989,0.34338245,0.3289819,0.30028895,0.28183028,0.2914225,0.32629776,0.3671043,0.38841948,0.377043,0.3365855,0.2889619,0.2602533,0.2678951,0.30720383,0.35683286,0.39181712,0.40089238,0.3892058,0.37248048,0.36532804,0.37397087,0.3945557,0.41549608,0.42659533,0.425845,0.4230263,0.42785084,0.43852052,0.43902457,0.41465604,0.36761633,0.31571665,0.2778877,0.25923812,0.2539403,0.25316212,0.25348723,0.25425366,0.25553063,0.256086,0.25627664,0.25583687,0.253518,0.24422105,0.22552113,0.19833012,0.17253573,0.16158251,0.18153875,0.23411973,0.3026302,0.35347447,0.36564472,0.34292722,0.31146535,0.29190218,0.28841463,0.29127786,0.29105416,0.283728,0.27062586,0.25758857,0.25554177,0.27566645,0.3180249,0.36398694,0.3854271,0.36634853,0.31687585,0.26520374,0.23754059,0.24267864,0.27252254,0.30992332,0.34055364,0.3587273,0.36780718,0.37322402,0.37679946,0.37645802,0.36968693,0.35644886,0.3383092,0.31932685,0.30647925,0.3106337,0.33676037,0.37607038,0.4043653,0.40079346,0.3642303,0.31532422,0.27857617,0.26599935,0.27451622,0.29383472,0.31382737,0.3272159,0.33008257,0.3225361,0.30866468,0.29355228,0.28031993,0.26756552,0.25287977,0.2354003,0.22033648,0.21731754,0.23864405,0.28712603,0.34951758,0.3968378,0.40680742,0.37993488,0.340413,0.3131042,0.30630264,0.3106309,0.31309262,0.30821252,0.29880595,0.29096442,0.29033506,0.30274054,0.33190116,0.37268838,0.40820453,0.41790518,0.3967683,0.3590994,0.32916042,0.31720877,0.31663802,0.3111575,0.29391733,0.26973334,0.251083,0.2468694,0.26065743,0.2895025,0.32695457,0.36289343,0.3886285,0.40063456,0.40198073,0.40106568,0.40583432,0.42360184,0.4506632,0.47635219,0.4827536,0.46547353,0.43177402,0.39904085,0.37514576,0.3595978,0.34595895,0.3318696,0.31791434,0.30717516,0.3013899,0.29994893,0.29617953,0.2811112,0.24865824,0.20345165,0.15818952,0.1301296,0.13485129,0.1827234,0.267598,0.36310104,0.43129444,0.44998887,0.42537114,0.38526654,0.35367444,0.33910665,0.3363318,0.33735576,0.33684054,0.33370784,0.33105353,0.33598566,0.35520458,0.3866775,0.41626656,0.42468104,0.4056033,0.3700631,0.33887088,0.32047915,0.30732825,0.28309157,0.24097802,0.18764846,0.13878648,0.10838095,0.10581031,0.13167594,0.17896573,0.23074603,0.27198336,0.29438138,0.30495104,0.31689504,0.34563455,0.39343026,0.44715118,0.48022667,0.47478914,0.43416107,0.38111684,0.33804893,0.31355223,0.30338398,0.2993325,0.29659605,0.29443756,0.29473794,0.29843673,0.30269262,0.2996522,0.2805422,0.2417563,0.19056164,0.1426348,0.11780119,0.13186638,0.19159698,0.28493395,0.38235596,0.44789925,0.46382192,0.4389124,0.3999649,0.36895356,0.3532127,0.34814474,0.347262,0.34749928,0.34982944,0.35808766,0.37651548,0.40554455,0.43698546,0.455871,0.44960448,0.41928157,0.3787745,0.3448315,0.32492864,0.31698072,0.31493583,0.3147931,0.31502005,0.31459406,0.31268308,0.3094531,0.30619767,0.30390576,0.30087522,0.29494658,0.2855653,0.27845475,0.28360215,0.31106588,0.3609383,0.4184636,0.4599403,0.4682168,0.44548836,0.40890566,0.37679958,0.356271,0.34495893,0.3376507,0.33184958,0.3274455,0.3245698,0.32308778,0.320407,0.31368187,0.29939064,0.27952096,0.2587038,0.24474092,0.24357657,0.26109734,0.29940993,0.35073718,0.3964331,0.415346,0.40176925,0.36738,0.33272222,0.3100941,0.30091298,0.2998421,0.30156127,0.30271533,0.30215487,0.30288753,0.31118158,0.33281216,0.3640727,0.39171016,0.39919284,0.3822727,0.34982345,0.31903842,0.2998415,0.29398292,0.2951975,0.29848567,0.30039766,0.302255,0.30606744,0.31491444,0.3274742,0.34034494,0.34733394,0.34715986,0.3423114,0.34070694,0.34931204,0.3720413,0.4036449,0.4303218,0.43617344,0.41585708,0.3792347,0.3437661,0.32109988,0.31122807,0.30752513,0.3040426,0.29983458,0.2966051,0.2967358,0.30031753,0.304996,0.30607924,0.2993417,0.28459063,0.26684546,0.25502834,0.25785336,0.28128174,0.32305062,0.37033904,0.4025166,0.40490496,0.3797296,0.34417453,0.3162916,0.3023353,0.29800853,0.2958195,0.29244384,0.2884246,0.2864563,0.29148638,0.30816844,0.33853805,0.37165153,0.39008412,0.37650308,0.3347585,0.2829418,0.24672459,0.23648213,0.24964873,0.27169037,0.2909418,0.30039835,0.30242524,0.30264613,0.30840218,0.32128885,0.33832133,0.3511002,0.35431316,0.34731105,0.33799982,0.3378782,0.35877147,0.40292203,0.45677564,0.49441803,0.49377683,0.45479217,0.3980218,0.35023332,0.3248283,0.3203225,0.32584906,0.33233008,0.33528888,0.33525145,0.3335177,0.32884645,0.31584132,0.28849128,0.24563365,0.19470544,0.14926247,0.12613049,0.14084502,0.2025609,0.2996998,0.39841554,0.4555867,0.45332834,0.40742633,0.35491517,0.32001615,0.30656895,0.3045229,0.30575418,0.30728272,0.31019732,0.31996632,0.3440459,0.38693726,0.43927047,0.48092413,0.4913074,0.46830988,0.42583653,0.38410094,0.35099483,0.32489493,0.3002791,0.27852863,0.26402617,0.2608538,0.26861963,0.28444824,0.30424774,0.32307723,0.33631566,0.34086546,0.33868945,0.33637807,0.34466207,0.37026307,0.4103742,0.448325,0.464993,0.45090792,0.414737,0.3729981,0.337907,0.31099772,0.28957435,0.2729898,0.26304853,0.26021746,0.262772,0.27021733,0.28578115,0.31316188,0.35066572,0.38859284,0.41513583,0.4242203,0.41902575,0.4074289,0.395797,0.3866519,0.38032976,0.3777239,0.3801321,0.38844237,0.40105402,0.41443864,0.4236697,0.42607307,0.42211697,0.41586342,0.40964317,0.4015273,0.3848029,0.35516456,0.315235,0.2748463,0.24358982,0.22519986,0.21673377,0.21301717,0.21088783,0.20970486,0.2098584,0.2105475,0.21046372,0.2086072,0.20491248,0.19871043,0.1882611,0.17241848,0.15360641,0.13805674,0.13219021,0.13779677,0.15120769,0.16858552,0.19196765,0.22952604,0.2842271,0.3451076,0.38897634,0.39963317,0.37971732,0.34823716,0.32300806,0.31098416,0.3099663,0.31567982,0.32502678,0.33484885,0.342549,0.346285,0.34646556,0.34209836,0.33232653,0.31523982,0.2941286,0.2739583,0.26314074,0.2679979,0.29380634,0.3373781,0.38510206,0.41556227,0.41451904,0.3849847,0.34520116,0.31342733,0.29705575,0.29229748,0.29233983,0.29336444,0.29571807,0.3036929,0.32403255,0.361811,0.41102782,0.45339963,0.46684432,0.4438666,0.39436164,0.3392608,0.29503372,0.2704589,0.26554164,0.27454746,0.2887222,0.3008362,0.3089795,0.31540194,0.3227732,0.33150598,0.33888587,0.342554,0.34166786,0.3397064,0.34247372,0.3575817,0.38685098,0.42236325,0.4458301,0.44302514,0.41461074,0.3774455,0.3494368,0.33731547,0.33541337,0.33468464,0.33062816,0.3244438,0.3194754,0.3179069,0.31872264,0.31703007,0.30592844,0.2808962,0.24592762,0.21244998,0.19595607,0.20794678,0.25236413,0.31792176,0.38137007,0.4163487,0.41411456,0.38558838,0.35339835,0.3317755,0.32385698,0.32459125,0.32915178,0.3336294,0.33580327,0.33655596,0.34160972,0.3575023,0.38309586,0.40538213,0.4071059,0.38065553,0.33464107,0.2875107,0.25635722,0.24763446,0.2576264,0.27474383,0.28973493,0.29816982,0.30269948,0.306667,0.3120421,0.3182356,0.32259598,0.32316878,0.31892577,0.3139234,0.31596544,0.33638826,0.37926257,0.43448234,0.47727704,0.4863365,0.4600042,0.41763,0.382756,0.36634758,0.36481562,0.36765757,0.36734584,0.36204636,0.35459068,0.34823754,0.34295705,0.33491197,0.31932652,0.29560664,0.26849076,0.2465819,0.23850872,0.25157747,0.28727758,0.33751273,0.38389492,0.40843114,0.4051055,0.38301095,0.3573396,0.33835837,0.32822016,0.32329538,0.31989214,0.31625804,0.31482506,0.3201542,0.33786747,0.36795163,0.40286955,0.42778072,0.43230104,0.416684,0.39168867,0.36780062,0.34909442,0.33406326,0.31979463,0.30498037,0.28939524,0.27536595,0.26722112,0.27116632,0.2897494,0.3194367,0.3493112,0.36909786,0.37474188,0.37259766,0.37315857,0.38486007,0.4060953,0.42677215,0.43328938,0.42068803,0.39484775,0.3691511,0.35220632,0.3448294,0.3417128,0.33882794,0.33540285,0.3335971,0.33576944,0.34304678,0.35377964,0.36456454,0.37177777,0.37487826,0.37553608,0.3774624,0.38431045,0.39995834,0.42421734,0.4503518,0.46600148,0.46209788,0.4396801,0.40881005,0.38105068,0.3624995,0.35399285,0.35223326,0.35319164,0.3525555,0.3497542,0.3491709,0.3587986,0.3815825,0.40932688,0.42541575,0.4181939,0.39001736,0.35380754,0.3217233,0.29784262,0.281965,0.27263474,0.27032986,0.27334818,0.2797211,0.2868183,0.29422775,0.30204058,0.3100966,0.3170371,0.32057047,0.31885934,0.31356266,0.312982,0.32923928,0.36672,0.41375372,0.44731662,0.45201564,0.43002674,0.3966154,0.36523113,0.34172776,0.3265314,0.317788,0.31213114,0.30522323,0.2957705,0.28704265,0.28286955,0.2837312,0.28462175,0.28179708,0.2735465,0.2622837,0.2516457,0.2502893,0.26879564,0.30980036,0.35889614,0.39036703,0.38881585,0.36049116,0.32690904,0.30436918,0.2959026,0.2950055,0.29575673,0.29594144,0.29675618,0.3021244,0.3179971,0.3482848,0.38713852,0.41870847,0.4258043,0.4052625,0.369257,0.3366252,0.31709445,0.3098747,0.30782783,0.30663645,0.30498776,0.3040143,0.30421057,0.30617455,0.3093867,0.31225017,0.31165504,0.3057227,0.29605985,0.2879934,0.28964266,0.30689216,0.34103432,0.38154864,0.4124931,0.41792223,0.3973699,0.3620988,0.32993352,0.3107175,0.30542752,0.30803075,0.31189355,0.31269017,0.30886576,0.30142507,0.2917992,0.27999735,0.26327026,0.23764427,0.202919,0.16544591,0.1394298,0.14072858,0.17969525,0.2503233,0.330302,0.39060974,0.41499344,0.40726376,0.38547274,0.36561644,0.35461858,0.35103604,0.35165617,0.35353255,0.35518494,0.3565685,0.3609431,0.37260607,0.39146423,0.40832546,0.40941045,0.38774458,0.3503451,0.31312835,0.28945127,0.2814526,0.2826148,0.28291923,0.27713594,0.26488376,0.2507948,0.23984824,0.23596275,0.24002582,0.24879062,0.25744212,0.26142955,0.2624862,0.26697814,0.2862163,0.32542717,0.37928602,0.4286276,0.45450357,0.44884312,0.41742253,0.37114236,0.318382,0.26723325,0.22600758,0.2024921,0.19691879,0.202722,0.21035838,0.21383159,0.21220237,0.20748681,0.20129573,0.19312046,0.18132699,0.16531403,0.14749223,0.13294302,0.12599073,0.1261485,0.12684311,0.120221205,0.1032879,0.081162564,0.06396783,0.061216254,0.07758254,0.11055919,0.15162617,0.18864769,0.21218985,0.21893634,0.21269609,0.19958632,0.18436109,0.1680712,0.14963078,0.1280687,0.10519183,0.08720871,0.083869755,0.104469836,0.15039192,0.21111839,0.2669826,0.30013916,0.30355138,0.28324887,0.25364444,0.22977613,0.22155114,0.228212,0.24165912,0.25147912,0.25424045,0.25319648,0.25600874,0.26767895,0.28830025,0.31137916,0.3260195,0.32002628,0.28730962,0.23393668,0.17956926,0.14638086,0.14530341,0.16712897,0.19040759,0.19698338,0.18580401,0.17307067,0.17930232,0.21374774,0.2672681,0.32032076,0.35686004,0.37278974,0.37413517,0.3685315,0.3600531,0.34645095,0.32229307,0.28262335,0.2294503,0.17342697,0.13054463,0.11381885,0.12704802,0.1628914,0.2061733,0.23968434,0.25301385,0.24791805,0.23769432,0.23553725,0.24611326,0.26258984,0.27747455,0.28588143,0.28893325,0.28660643,0.2812282,0.2749447,0.27151158,0.27153003,0.2718544,0.26810563,0.25732407,0.24453068,0.23767062,0.24587391,0.26815042,0.2983621,0.32505572,0.34384635,0.35564217,0.36986724,0.39024034,0.41317463,0.42451158,0.41739416,0.3950567,0.3720347,0.35779718,0.3543394,0.3558606,0.3575714,0.35733688,0.35653284,0.35695687,0.35947976,0.3613294,0.3586234,0.3482579,0.33299258,0.31806287,0.31016,0.3133386,0.33146805,0.36343852,0.4004487,0.42559433,0.42602745,0.40314403,0.37181032,0.34782028,0.33720922,0.33693913,0.34103656,0.3459172,0.3504978,0.3565023,0.36721453,0.38572577,0.40853724,0.42553177,0.42400646,0.40110728,0.36581978,0.33420587,0.31689274,0.3140671,0.3189899,0.3242195,0.3276995,0.33002254,0.33333978,0.33721587,0.34057653,0.34178618,0.34016144,0.3360817,0.33014154,0.323364,0.31837514,0.32164547,0.34083894,0.3750482,0.4110371,0.4287175,0.41902134,0.38784006,0.3507235,0.31853473,0.29572067,0.28368604,0.28491905,0.30130842,0.33061203,0.36527848,0.39514413,0.41071638,0.4085003,0.39129052,0.36872843,0.35104027,0.34621915,0.35653615,0.37990037,0.4098893,0.4361266,0.4482458,0.4410603,0.41983902,0.39480996,0.3745238,0.35927796,0.34535655,0.329558,0.31333467,0.3004588,0.2955359,0.30289957,0.32561895,0.3611711,0.39593604,0.41117087,0.3952837,0.35836276,0.3230325,0.3092982,0.31727245,0.3350502,0.34904763,0.35573688,0.3571309,0.35599503,0.3520392,0.3433168,0.3304572,0.31542993,0.3035026,0.29750013,0.2999766,0.3109449,0.33324495,0.36909282,0.4143683,0.45323923,0.46598053,0.4454349,0.40422282,0.3649521,0.34278762,0.3383257,0.34332907,0.3493553,0.35224035,0.35234073,0.35299444,0.35707745,0.36189213,0.36036518,0.34639645,0.32351792,0.30178264,0.29202893,0.29835737,0.32064104,0.3541087,0.38910213,0.41058564,0.40774098,0.38237202,0.34926653,0.32374525,0.3117758,0.308921,0.3083676,0.3068253,0.30551097,0.3082684,0.32130656,0.35040963,0.39496744,0.44000348,0.46295193,0.44787845,0.4024438,0.34966397,0.31329992,0.29847157,0.2978307,0.29828274,0.29585382,0.2916415,0.29121897,0.29534328,0.3019354,0.3070365,0.30960265,0.31229627,0.31797507,0.32856464,0.34414867,0.36643437,0.39558336,0.4259101,0.44481552,0.44111672,0.4161332,0.3837911,0.3610555,0.3554939,0.36304045,0.37351105,0.37850752,0.3762045,0.37028208,0.36611226,0.36545387,0.36358777,0.35232744,0.32487068,0.28365996,0.23926693,0.20876598,0.2076268,0.2439816,0.3102081,0.38140512,0.42796984,0.43380556,0.40790763,0.37193906,0.3435228,0.3259754,0.31543043,0.30869964,0.3053697,0.30590132,0.31120464,0.32457164,0.34905192,0.37990093,0.40335324,0.4028237,0.37477365,0.33023235,0.2887479,0.26340276,0.2558385,0.2590021,0.26219264,0.25951648,0.2503813,0.24174494,0.2409383,0.2513869,0.26857364,0.28161767,0.28157952,0.26703802,0.24820621,0.24058662,0.25795797,0.3022591,0.3593866,0.4049518,0.41929153,0.40169087,0.3674867,0.33605924,0.31671062,0.3098381,0.3099371,0.31262848,0.3136401,0.31152332,0.30663422,0.30180416,0.29810023,0.2934213,0.2833345,0.26679528,0.24828495,0.2383761,0.24782927,0.28280762,0.33420077,0.38037798,0.3962917,0.37656045,0.33622527,0.30111852,0.28460371,0.28586885,0.29509437,0.30530414,0.31299174,0.31804922,0.3235278,0.33671334,0.3645775,0.40321615,0.43557477,0.44045877,0.413437,0.36937955,0.33284187,0.31553054,0.31367663,0.31353095,0.30604932,0.28971532,0.27029368,0.2550612,0.2513893,0.26153764,0.28235233,0.30331156,0.31601143,0.3174448,0.3149872,0.31892183,0.33835104,0.37293518,0.41040125,0.43164095,0.4231104,0.3898267,0.34987962,0.32182428,0.31025502,0.3090072,0.30867776,0.304502,0.29631177,0.2870622,0.28095543,0.28219655,0.29041663,0.30038705,0.30261657,0.2927935,0.27320412,0.25556257,0.2536997,0.27825093,0.32538855,0.37565073,0.40446064,0.40145054,0.37705874,0.3520063,0.3399129,0.34195116,0.35154304,0.3618455,0.36804637,0.36837804,0.36612687,0.3683419,0.38081977,0.3980322,0.40571523,0.38926932,0.35043728,0.30408594,0.27113864,0.26087177,0.27153644,0.29047692,0.30693612,0.3141789,0.31439528,0.31237242,0.31356013,0.31880438,0.3256332,0.32859707,0.32384133,0.31145898,0.2978502,0.29418015,0.3105091,0.34817132,0.39350593,0.42592445,0.42965233,0.40658545,0.3699099,0.3350656,0.30902383,0.29325518,0.2860702,0.28601894,0.2901892,0.29548177,0.29966128,0.30291805,0.30654022,0.31112447,0.31617552,0.32069874,0.32418987,0.32581234,0.32477072,0.3210348,0.3160833,0.31177017,0.30843267,0.3054162,0.30209708,0.29928353,0.29743102,0.296272,0.29468226,0.29233745,0.28950962,0.28635296,0.28273556,0.27844915,0.27412853,0.2699648,0.26614177,0.26211226,0.25832856,0.25539708,0.25427186,0.2552431,0.25816703,0.26291546,0.26871675,0.27473053,0.27924785,0.2817192,0.28227746,0.28224865,0.28248367,0.28312728,0.2840786,0.2850267,0.28607857,0.28632495,0.28507897,0.28169858,0.2772381,0.27331343,0.271324,0.27145126,0.27251473,0.27332672,0.27254036,0.27002236,0.2657008,0.26064372,0.25554404,0.25114807,0.24719606,0.24319558,0.23885433,0.23417835,0.22942883,0.22408856,0.21782415,0.21035528,0.20245911,0.19495076,0.18867691,0.18430609,0.18219249,0.18225221,0.18296541,0.18287914,0.18104537,0.17866586,0.17696376,0.17677759,0.17727387,0.17753522,0.17648904,0.17354803,0.16852732,0.16230941,0.15650466,0.15223424,0.14906345,0.1456147,0.14102745,0.13627553,0.13287432,0.13183743,0.13228242,0.13287108,0.13247429,0.13112243,0.1293595,0.1276776,0.12638499,0.125478,0.12529556,0.12615113,0.12828624,0.13106985,0.13321348,0.13356914,0.13185866,0.12889518,0.12553231,0.122520946,0.12021851,0.11920273,0.11970685,0.121525384,0.12379825,0.12561989,0.12635048,0.12574877,0.12393027,0.12123853,0.11816951,0.11504394,0.112010576,0.10905019,0.106134705,0.10325402,0.100393035,0.0977589,0.0955233,0.09385907,0.092514746,0.09126028,0.08997627,0.08884,0.0880379,0.087449074,0.08689935,0.086090825,0.08497497,0.083413474,0.08149756,0.07943818,0.077551536,0.07601475,0.074690305,0.07350445,0.07239163,0.071467526,0.07065058,0.0699177,0.06932876,0.06901172,0.068921395,0.068660684,0.06792283,0.06661561,0.06504357,0.063420475,0.061859142,0.060336467,0.05888162,0.05761342,0.05662592,0.056115713,0.056138873,0.05668288,0.057405382,0.05799256,0.058252815,0.058251753,0.0581437,0.05801932,0.05804049,0.058251604,0.05856158,0.05845648,0.057381913,0.055114314,0.05227335,0.051044356,0.055412713,0.07063236,0.09931702,0.13838516,0.1780473,0.20791276,0.22256069,0.22483689,0.22180144,0.2202193,0.22281845,0.22870328,0.23526837,0.24072014,0.24510469,0.2497421,0.25660518,0.26821378,0.2873976,0.3152323,0.34853646,0.38001823,0.40164503,0.40926322,0.40374386,0.38880625,0.36718225,0.33963826,0.30700395,0.2727253,0.24241398,0.22046362,0.20767291,0.20206343,0.20156477,0.2047388,0.20970868,0.2136298,0.21444677,0.21246074,0.20996161,0.20891945,0.20960592,0.2098375,0.20551698,0.191646,0.16734155,0.14164266,0.13507135,0.16826473,0.24331896,0.33546814,0.406575,0.43374038,0.4222783,0.3968195,0.37720975,0.36863235,0.36509594,0.36052895,0.35296023,0.3437872,0.33528888,0.3292887,0.32616094,0.32489884,0.32362387,0.32161972,0.31923684,0.31762385,0.3168473,0.31646863,0.31571046,0.31449488,0.31282318,0.31081262,0.30833745,0.30539098,0.30201685,0.29908693,0.298139,0.30067345,0.30434588,0.30185488,0.28324816,0.24477388,0.19329901,0.14379655,0.109416395,0.09483763,0.09637359,0.10596368,0.115582205,0.118908405,0.11364331,0.10173193,0.089992024,0.088530906,0.10811367,0.15454455,0.22297628,0.29755965,0.3576914,0.38870218,0.3879192,0.36671916,0.34318426,0.3343995,0.34451905,0.36612585,0.3849059,0.3932985,0.39314613,0.39415297,0.40436366,0.42175034,0.434433,0.42784503,0.39958295,0.360131,0.32661375,0.30857047,0.3050338,0.30798963,0.30916682,0.30495247,0.29542378,0.284475,0.27712277,0.28142703,0.302864,0.3388896,0.37383854,0.3892555,0.3773006,0.34735513,0.31716654,0.30075464,0.30342498,0.32298127,0.3531033,0.38553277,0.41371512,0.43443814,0.44667602,0.44877768,0.4377499,0.41217044,0.37335384,0.32628024,0.2762548,0.23019469,0.1947939,0.17832118,0.18596727,0.21896301,0.27033845,0.32797894,0.37691817,0.40753153,0.41804966,0.4154104,0.4085449,0.4038924,0.40253237,0.4028606,0.40301216,0.40223292,0.40001294,0.3954728,0.38821507,0.37906268,0.37034014,0.36358854,0.3594657,0.3583127,0.36302534,0.3758471,0.39365005,0.40538347,0.39996913,0.3766282,0.34606692,0.3216881,0.30862355,0.3041478,0.30259094,0.30130443,0.29987147,0.2988957,0.29874852,0.29937884,0.3008732,0.3029689,0.30613208,0.31001142,0.31405678,0.3169323,0.3188627,0.32100704,0.32419512,0.32686216,0.32646966,0.32275286,0.31812087,0.3162751,0.31850228,0.32483944,0.33099154,0.32998607,0.3118761,0.27435848,0.22507457,0.18039052,0.15236104,0.14360219,0.14685373,0.15222628,0.15184943,0.14359356,0.13042217,0.11768759,0.10874178,0.10411333,0.10275968,0.10463064,0.10950801,0.1162787,0.1222019,0.12696408,0.1348719,0.15447383,0.19096564,0.24067892,0.29096434,0.32927546,0.3509115,0.36249498,0.3761343,0.40129712,0.43464482,0.46116027,0.46332633,0.43842733,0.40005302,0.36837924,0.35306624,0.35105821,0.35378933,0.35554492,0.35514128,0.35244402,0.3497487,0.3520268,0.36740813,0.39768338,0.43318066,0.4551086,0.45089817,0.4247528,0.39250174,0.36758247,0.35145846,0.3401736,0.33087882,0.3248622,0.32213506,0.32109526,0.3200833,0.31971225,0.32061684,0.3202106,0.31360435,0.29699638,0.27253574,0.24698518,0.229607,0.22783709,0.24439721,0.27509105,0.3086116,0.33384645,0.34450427,0.34377304,0.3376373,0.33262095,0.32975903,0.32776964,0.3224696,0.31263927,0.29930624,0.28679645,0.27841935,0.27648875,0.28114676,0.2913514,0.30387047,0.31466493,0.32039413,0.32226598,0.3262855,0.34098336,0.36770543,0.39678943,0.4105529,0.39955065,0.3693321,0.33727673,0.31659982,0.31008434,0.3117905,0.31565216,0.31842032,0.31964383,0.31938934,0.31804132,0.31572184,0.3124965,0.30816993,0.30307043,0.29846236,0.29585925,0.29593173,0.2974502,0.298606,0.29754344,0.29390708,0.2881126,0.28261757,0.28028616,0.2838079,0.2930771,0.30657116,0.32188067,0.33776554,0.35285652,0.36623928,0.37662694,0.3832014,0.38500974,0.3811346,0.3713914,0.35705364,0.34162924,0.3293604,0.32254276,0.31967542,0.31628856,0.31053066,0.30533332,0.30737498,0.3192902,0.3371242,0.3529658,0.36188397,0.36490813,0.36464885,0.36212528,0.35466966,0.34185734,0.32606974,0.3135337,0.30997947,0.32002592,0.34494045,0.37836826,0.40728128,0.41639432,0.40288553,0.37610152,0.35325602,0.34322032,0.3454121,0.3515902,0.354748,0.3509394,0.339049,0.319555,0.29682744,0.28222838,0.28944305,0.3227935,0.36850536,0.40346992,0.4128174,0.4002786,0.3806001,0.36581624,0.35917225,0.35784388,0.35872972,0.35911247,0.35659933,0.34880188,0.33614317,0.3229326,0.31442747,0.3135899,0.31814957,0.32505774,0.3309132,0.33504772,0.3362154,0.3345662,0.3300209,0.3236459,0.31654146,0.31024742,0.3057636,0.3028598,0.3002893,0.29721233,0.29427063,0.29269066,0.2930669,0.29476973,0.29656163,0.29765555,0.29780474,0.29894578,0.30273196,0.3108226,0.320412,0.32814786,0.32980645,0.32709244,0.32555023,0.33447167,0.3566041,0.38561013,0.40681136,0.41104257,0.40030935,0.3863279,0.3782166,0.37757468,0.38014933,0.3820444,0.3819306,0.38000068,0.37655747,0.37217176,0.3683896,0.36700356,0.36841014,0.37031808,0.36969376,0.36481473,0.3571931,0.34949124,0.34437618,0.3427032,0.3442968,0.34761643,0.3507265,0.35234332,0.35258463,0.35278907,0.35279512,0.3509029,0.34405038,0.3318223,0.31667885,0.30390534,0.29801598,0.30125132,0.31239638,0.3277061,0.34231803,0.35206804,0.354789,0.3507997,0.342225,0.33146134,0.31865522,0.3018134,0.27891907,0.252076,0.22668295,0.20912714,0.20334585,0.21220881,0.23653531,0.27352604,0.31430414,0.34791473,0.3673946,0.3744941,0.37836543,0.3902568,0.4144189,0.44247663,0.45683292,0.4451182,0.4120591,0.375607,0.35318136,0.34846842,0.35457453,0.360327,0.36007556,0.3540268,0.34800196,0.34877825,0.36137703,0.38619617,0.41662487,0.44049942,0.44621423,0.43182823,0.40631056,0.3823206,0.36711386,0.36044738,0.35870886,0.3586839,0.3586202,0.35823226,0.35848823,0.3605186,0.3630569,0.36045158,0.34591123,0.31570157,0.2750976,0.23415162,0.20406121,0.1901264,0.1945536,0.21576656,0.24978405,0.28785983,0.32064378,0.34293094,0.3559828,0.3644021,0.37063703,0.37481973,0.37554717,0.37315044,0.3679208,0.3604668,0.3505212,0.33934072,0.32866207,0.32103285,0.31687117,0.31624416,0.31779295,0.32190076,0.32948565,0.34373558,0.3658372,0.39210764,0.41312397,0.42044368,0.41479257,0.40513206,0.40079817,0.40207413,0.40203488,0.3930688,0.37358537,0.3478705,0.3225211,0.30294487,0.29142496,0.28775087,0.29021263,0.2965503,0.30408955,0.30984816,0.31187117,0.31008244,0.30662122,0.3038063,0.30232075,0.3003906,0.2958434,0.28846145,0.28145823,0.27950326,0.28668654,0.30188277,0.31897554,0.32805142,0.3243351,0.31044975,0.29505542,0.2835431,0.27543393,0.266387,0.25395545,0.23900752,0.22423066,0.21157289,0.20145185,0.19322447,0.18606825,0.17906956,0.17139147,0.16234125,0.15256548,0.14407198,0.14121164,0.15004128,0.17638658,0.22039194,0.2732623,0.32058808,0.35172713,0.36627093,0.3732762,0.38378263,0.4046495,0.43275964,0.45649305,0.46097305,0.44049612,0.4022248,0.36226282,0.33303127,0.3171964,0.30827,0.29694152,0.27697,0.2473399,0.21370532,0.18765078,0.18564622,0.21935357,0.28374818,0.3532215,0.39614022,0.39804244,0.36969975,0.33617997,0.3154603,0.31109664,0.31619176,0.32393262,0.33098397,0.33650514,0.34004518,0.34138206,0.3407028,0.3359331,0.321789,0.2918758,0.24598569,0.19248325,0.14575869,0.11781592,0.11303087,0.12725544,0.15100259,0.17469163,0.1912844,0.19842249,0.19805712,0.19680755,0.20317961,0.22179033,0.24921286,0.2748412,0.28978595,0.29169166,0.28616083,0.27938935,0.27560595,0.27427724,0.2737505,0.2719753,0.26893866,0.26642442,0.26864517,0.2827036,0.31551674,0.36784312,0.42684188,0.47081605,0.48234984,0.46269992,0.42914057,0.40197456,0.39111456,0.39509168,0.40613684,0.41618893,0.41997537,0.41685605,0.41014326,0.40379998,0.3990914,0.394811,0.38993466,0.38500533,0.381075,0.378055,0.37600386,0.37519336,0.3762907,0.3777125,0.37742114,0.37436983,0.3706418,0.36930892,0.3716409,0.3745474,0.37128016,0.3552843,0.32591903,0.28959295,0.2557582,0.22889633,0.20753938,0.18764633,0.17037944,0.16111189,0.1662886,0.18587865,0.21401238,0.24123259,0.26072058,0.27006504,0.27123496,0.2676982,0.2625421,0.2577406,0.25560287,0.25917688,0.2711269,0.2903181,0.31126437,0.32631862,0.33109522,0.32603928,0.31705776,0.3120543,0.32041165,0.3468115,0.38726258,0.4262644,0.4468194,0.44220462,0.4213344,0.40023538,0.38955495,0.38899922,0.39079496,0.3876704,0.3780153,0.36638165,0.36009106,0.36505094,0.3835905,0.4104875,0.4341767,0.4395188,0.42141125,0.3871304,0.35446468,0.33564842,0.33351585,0.34065795,0.3488076,0.35203043,0.34970757,0.3446598,0.3407942,0.34007505,0.33933452,0.33229902,0.3123138,0.2800885,0.24288766,0.21218924,0.19521631,0.19443814,0.20813866,0.23328479,0.2651331,0.29747796,0.32467487,0.34354734,0.35466775,0.36058912,0.3628485,0.35984325,0.3480158,0.32697034,0.30145988,0.27993438,0.26983783,0.27570164,0.2986511,0.3351008,0.37638783,0.41053644,0.42885134,0.430065,0.42187726,0.4153727,0.4187356,0.4301478,0.4398942,0.43762717,0.42311263,0.40565977,0.39672092,0.3994834,0.40861973,0.4157221,0.415941,0.4093617,0.39831683,0.3853625,0.37216064,0.36105856,0.35403958,0.35241985,0.35470983,0.35817984,0.36002967,0.36011994,0.3609074,0.3653516,0.37386045,0.3823409,0.3854386,0.37989664,0.36816373,0.35577142,0.34877148,0.34856787,0.35249832,0.3550372,0.35404375,0.3511368,0.35013893,0.3514502,0.3519434,0.34746644,0.3365213,0.3204824,0.3021936,0.28423616,0.26861465,0.256258,0.24695645,0.23794293,0.22507602,0.20439689,0.17631483,0.1451856,0.11928627,0.10787884,0.121077426,0.16385399,0.23167677,0.30733284,0.37044832,0.40614453,0.41369435,0.4028308,0.3904768,0.3888332,0.39808092,0.40334418,0.388361,0.3503503,0.30354,0.26713178,0.25160244,0.2547662,0.26701942,0.27732882,0.27964532,0.27345964,0.26490942,0.2624885,0.27518117,0.30571938,0.34528312,0.37491393,0.3774697,0.35231987,0.3148454,0.28491583,0.2723302,0.27561638,0.28661886,0.2974713,0.30345425,0.30539382,0.30833006,0.31812754,0.3342754,0.34998575,0.3548921,0.3455871,0.32566175,0.30430743,0.28654563,0.2735691,0.2634697,0.2559354,0.25043592,0.24449395,0.2338053,0.21612953,0.19627567,0.18515919,0.19378494,0.22344947,0.26370323,0.2984879,0.3179081,0.323439,0.32410398,0.3281373,0.33615336,0.3434929,0.3441113,0.33784506,0.3286917,0.32384083,0.33031246,0.35347065,0.39267167,0.434853,0.46052837,0.4552848,0.42400238,0.38382092,0.35169443,0.33283523,0.32528672,0.32578984,0.33279848,0.34387746,0.35568404,0.36477718,0.36957613,0.37007415,0.3684303,0.36798993,0.37068632,0.37561476,0.3791969,0.37978217,0.37792364,0.37589535,0.3742003,0.37255713,0.37078586,0.36941138,0.36878172,0.36851248,0.36854926,0.3683624,0.36751363,0.36485782,0.36093172,0.35642135,0.35222125,0.3474741,0.3416597,0.33507946,0.3289949,0.32455015,0.32184184,0.3209217,0.32106707,0.32166433,0.3213924,0.31987345,0.31756532,0.31601557,0.3168553,0.3207293,0.32695213,0.3331132,0.33714256,0.33798826,0.33684197,0.33468127,0.33221588,0.329066,0.32584032,0.3231721,0.3214754,0.32007563,0.31806627,0.3152971,0.31189957,0.3084946,0.30516124,0.3022199,0.29934096,0.29595038,0.29152653,0.28612784,0.28101572,0.27689573,0.27409258,0.27123845,0.26715878,0.26090285,0.25284243,0.24470681,0.23871602,0.2375109,0.24137872,0.24910684,0.25671712,0.26151147,0.26203787,0.25979313,0.25638545,0.25287387,0.24912697,0.24454814,0.23956323,0.23516732,0.23328306,0.23421629,0.23673095,0.23788093,0.23572795,0.23061757,0.22463106,0.22024314,0.21843497,0.21971142,0.22348918,0.22895376,0.23407336,0.2371187,0.23735864,0.23572971,0.23399083,0.23351116,0.23495711,0.23761976,0.24000418,0.23973657,0.2352435,0.22610468,0.21371077,0.2002833,0.18808575,0.1787232,0.17241962,0.16867536,0.16611551,0.163979,0.1618105,0.1602223,0.16006231,0.16186716,0.16514927,0.167942,0.16834824,0.16523796,0.15968023,0.1534381,0.14831372,0.14483358,0.14282353,0.14174037,0.1410069,0.14021768,0.13919957,0.13844948,0.13849121,0.13945188,0.14050657,0.14068274,0.13948876,0.13718241,0.13425528,0.13083468,0.12692787,0.12242604,0.117717,0.113106005,0.109121464,0.10591388,0.10360513,0.101989724,0.10070602,0.099292465,0.097253285,0.09447392,0.09107996,0.087643184,0.084627174,0.082381494,0.0808435,0.07971088,0.078592576,0.077127874,0.075294666,0.073159724,0.07106351,0.069131106,0.06755247,0.06626506,0.06524222,0.06431698,0.063302785,0.062100276,0.06064291,0.059149314,0.057728898,0.05663605,0.055788394,0.055127237,0.05439532,0.053517114,0.052540928,0.05161913,0.050986145,0.050697755,0.050850943,0.051250417,0.05176496,0.052087303,0.052147876,0.051948726,0.051708087,0.051672477,0.051934358,0.05242009,0.05274026,0.052605424,0.051723737,0.050197538,0.04823425,0.046312448,0.04525585,0.046828866,0.05428965,0.0710106,0.09816388,0.13195507,0.16522557,0.19095425,0.20639996,0.21298581,0.21421647,0.21341354,0.21297218,0.21449472,0.21848172,0.22465016,0.23220651,0.24026847,0.24762845,0.25297943,0.25641942,0.26102027,0.27188817,0.2925537,0.32118604,0.35173866,0.37765124,0.39611837,0.4072918,0.412441,0.4115862,0.40418354,0.3898363,0.36933628,0.3446773,0.3184075,0.29266435,0.26808402,0.24486649,0.22405684,0.20836961,0.20000742,0.19852723,0.20102583,0.204524,0.2079615,0.21138175,0.21466334,0.21694815,0.21721649,0.21398441,0.20460612,0.1860243,0.15776558,0.12651657,0.1067721,0.11722159,0.16774963,0.25164047,0.3433719,0.4163895,0.45602903,0.46749023,0.46344614,0.45465803,0.44319692,0.42583433,0.39763126,0.35631502,0.30548173,0.2543995,0.2137682,0.188327,0.17493616,0.16588612,0.157628,0.15181595,0.15236759,0.1572941,0.16050555,0.15573137,0.14326416,0.1275602,0.11365604,0.103165574,0.0953111,0.088997446,0.08434356,0.08245945,0.084200345,0.08853921,0.09241634,0.09202289,0.08635344,0.07815089,0.072527766,0.07259176,0.07778355,0.08456712,0.08919766,0.089139074,0.083656035,0.0741347,0.06505382,0.064245634,0.0807453,0.12017945,0.1799007,0.24855614,0.3107785,0.3541489,0.37264016,0.36522257,0.33524773,0.29091218,0.24661161,0.21623538,0.20640957,0.21270151,0.22592586,0.23879813,0.2491918,0.25812283,0.26731482,0.27801707,0.29052123,0.30331582,0.31288084,0.31445912,0.30494907,0.28494853,0.25964293,0.23585038,0.21909529,0.21088892,0.20939994,0.2108122,0.21162306,0.21059693,0.2088456,0.2092386,0.21285433,0.2186958,0.22236602,0.21947402,0.20804836,0.19364719,0.18824123,0.2033744,0.23997585,0.28639224,0.32679853,0.3527631,0.3662602,0.37407324,0.3790727,0.37772393,0.3620307,0.32670197,0.2736309,0.21380424,0.16137539,0.12749565,0.11693553,0.12951727,0.16215812,0.20731676,0.25432944,0.29192486,0.3145137,0.32258895,0.3210609,0.31547618,0.3101368,0.30702505,0.3041476,0.2965919,0.27923676,0.25209978,0.2211621,0.19527352,0.17960423,0.17346455,0.17242312,0.17320567,0.17515135,0.17878354,0.18318647,0.18610817,0.18554783,0.18149948,0.17553216,0.16959248,0.1647171,0.16102123,0.1581289,0.15585351,0.15428047,0.15350664,0.15325083,0.15296412,0.15225667,0.15116061,0.14988296,0.14847617,0.14688195,0.14539315,0.1446871,0.14537646,0.14717524,0.14894103,0.14939032,0.1481302,0.14586116,0.1436622,0.14223175,0.14157505,0.14149295,0.14170742,0.14169973,0.14065026,0.13804236,0.13463573,0.13207586,0.13185513,0.13391136,0.13696902,0.13924925,0.13953383,0.13725524,0.13261192,0.12613009,0.1184875,0.11010211,0.10164774,0.09420041,0.08924665,0.08749286,0.08840657,0.09048542,0.092496164,0.09401631,0.095151514,0.09594274,0.09618356,0.09577773,0.09483171,0.09362796,0.09232459,0.0910525,0.08982854,0.08847954,0.08652667,0.08336983,0.0787917,0.07325873,0.0683404,0.06650254,0.0703815,0.0808627,0.095896006,0.11090782,0.12146918,0.12549137,0.12404391,0.120008916,0.11664627,0.11598173,0.11831804,0.122131534,0.12521565,0.12524697,0.12035803,0.10931593,0.09313375,0.07614333,0.06516631,0.06514884,0.07543436,0.090001196,0.1029076,0.11276284,0.12228975,0.13358735,0.14529133,0.15445475,0.15989888,0.16330028,0.16660547,0.16999143,0.17120032,0.1673759,0.1561404,0.13710208,0.112101495,0.0862234,0.0665657,0.060833767,0.073018946,0.101417266,0.13729335,0.16995393,0.1913116,0.20058233,0.2019429,0.20082565,0.19920999,0.19525225,0.18537557,0.16826741,0.14773965,0.13268548,0.13417105,0.15815538,0.20068519,0.24544919,0.27434844,0.2764496,0.2566581,0.22741717,0.20132576,0.18266094,0.1706969,0.16254817,0.15689375,0.15323468,0.15146548,0.15113074,0.1517557,0.15303062,0.15497594,0.15768896,0.16078694,0.1632977,0.16413932,0.16342263,0.16268653,0.16379523,0.1667239,0.16933419,0.16926616,0.16676426,0.16413994,0.16339177,0.16399391,0.16524388,0.16838054,0.1765057,0.19018567,0.20588695,0.21803291,0.2235351,0.22312607,0.21953128,0.21521533,0.21123797,0.20803362,0.20550774,0.20371003,0.20181096,0.19840156,0.1917633,0.18310969,0.17678142,0.1786083,0.18975429,0.20602494,0.21994674,0.22701554,0.22645861,0.22039334,0.2111788,0.201612,0.19484574,0.19373013,0.19913673,0.2090375,0.21949553,0.2267797,0.22974914,0.22998126,0.23051088,0.23327649,0.23839681,0.24441685,0.24982233,0.25347134,0.25477982,0.25357068,0.2501205,0.24445929,0.23513694,0.21923043,0.19533531,0.16751303,0.1465661,0.14462094,0.16753006,0.20947784,0.25658038,0.29468253,0.3170141,0.32475185,0.32336023,0.31798422,0.31158936,0.30442688,0.2942398,0.27717146,0.2514188,0.22062112,0.195028,0.1857798,0.1982358,0.22713904,0.26086497,0.28818747,0.30471972,0.3121022,0.31451404,0.3146329,0.31323138,0.30990326,0.3043228,0.29600844,0.2848548,0.27108017,0.25604382,0.24146856,0.22871476,0.2170701,0.20362127,0.18528414,0.16211767,0.13866721,0.120937794,0.112665944,0.113380186,0.12023917,0.12928127,0.13686788,0.14007,0.13834494,0.13348575,0.12882459,0.12699418,0.12861103,0.13182263,0.13368626,0.1321971,0.12790105,0.12328747,0.12076839,0.12059791,0.12098023,0.119736195,0.116436094,0.11268586,0.11091917,0.112502076,0.11703069,0.122791074,0.12788904,0.13100539,0.1316484,0.13001348,0.12677173,0.12281069,0.11893561,0.11562401,0.112911455,0.11056214,0.10843756,0.1067875,0.10644371,0.108216584,0.11233463,0.11777606,0.12297314,0.12666333,0.12856565,0.12901215,0.12839583,0.1271858,0.12597556,0.12545158,0.1258325,0.1269194,0.12828441,0.12970732,0.1309764,0.13179936,0.13169925,0.13041294,0.12814493,0.12553595,0.1232372,0.121427536,0.119974695,0.11884346,0.11835211,0.1188823,0.120202005,0.12173156,0.122595005,0.12268279,0.12203407,0.12108437,0.119699724,0.11796817,0.11625996,0.11546656,0.11606181,0.117356986,0.118069224,0.11736277,0.115923055,0.115041934,0.11546981,0.11661053,0.11721197,0.116716236,0.11561524,0.11539347,0.11696152,0.12038029,0.12417716,0.12674691,0.1266306,0.12366267,0.11848265,0.11293313,0.10899154,0.10820148,0.11030853,0.11385113,0.11699814,0.11910503,0.12061248,0.12251482,0.12532718,0.12873782,0.13184315,0.1337672,0.13462627,0.13531806,0.13653077,0.13718309,0.13544478,0.13115521,0.1270281,0.1263101,0.12936872,0.1348387,0.1421773,0.1533888,0.1686442,0.18462963,0.195596,0.1981585,0.19228484,0.18042617,0.16666192,0.15681238,0.15677352,0.16852444,0.18794245,0.2077413,0.22451031,0.24300818,0.27297786,0.31818137,0.36805856,0.40132824,0.40134582,0.369674,0.32344696,0.28166583,0.25207976,0.23133542,0.21173298,0.18861711,0.16278817,0.13869607,0.121011555,0.11081553,0.10637331,0.105317235,0.10738242,0.112564065,0.119273685,0.12377945,0.123274244,0.11813029,0.11148852,0.10598268,0.10091513,0.09303514,0.080127604,0.064816885,0.05422653,0.056098223,0.07352365,0.102457285,0.13354804,0.15702373,0.16767573,0.16633756,0.15796523,0.14810741,0.14055492,0.13666777,0.1357068,0.1356792,0.13449253,0.13106798,0.12568498,0.11930892,0.11260497,0.10573211,0.09882269,0.092666425,0.0882406,0.08636212,0.087471806,0.09257472,0.10290095,0.119037844,0.13905211,0.15830575,0.17016983,0.1693117,0.15535456,0.13547571,0.120878965,0.1196359,0.13028693,0.14411658,0.15200047,0.1511914,0.144571,0.13687204,0.13042213,0.12502901,0.11922425,0.11182889,0.101974994,0.089609385,0.07642359,0.067227714,0.06758513,0.08003383,0.10005026,0.11901281,0.12952517,0.13119061,0.12893693,0.12870294,0.13265167,0.13916145,0.14482601,0.14689122,0.14438088,0.13819791,0.13054432,0.12347666,0.11721045,0.10977566,0.09821319,0.08204501,0.064196736,0.050436866,0.04446772,0.04691447,0.055360615,0.06829444,0.08440292,0.10135841,0.114400886,0.11912341,0.114587106,0.103841335,0.09155157,0.08119294,0.0737995,0.068610094,0.06405671,0.05923906,0.05383755,0.0480479,0.04181281,0.03545749,0.030118955,0.02792109,0.03336941,0.054305512,0.101601504,0.17712815,0.26382288,0.32552496,0.3325484,0.28366327,0.20806384,0.14072903,0.10120774,0.09123635,0.10377904,0.1301762,0.15975122,0.1826642,0.19324468,0.19331335,0.18833344,0.18351686,0.180548,0.17866786,0.17611688,0.17175792,0.16597694,0.16093938,0.15986347,0.16459195,0.1739003,0.18402489,0.1916495,0.19581378,0.19728713,0.19651927,0.19309957,0.1871168,0.1801349,0.1743741,0.1701299,0.16474372,0.15414108,0.1367019,0.115931876,0.09953868,0.09491134,0.10394269,0.12121268,0.13755399,0.14604694,0.14603601,0.14145239,0.13654377,0.1328485,0.12997644,0.12808776,0.12867318,0.13347387,0.14243327,0.153619,0.16368687,0.1690169,0.16603304,0.1533864,0.13351737,0.113480784,0.10107154,0.10111926,0.11260376,0.13026056,0.14737993,0.15870899,0.1622532,0.15907632,0.15278482,0.14719206,0.14494653,0.14592008,0.14810811,0.14903416,0.14765762,0.14427906,0.1392305,0.13144238,0.11887944,0.101578586,0.08422754,0.07613809,0.08481758,0.11020061,0.14199609,0.16726537,0.17769037,0.17445523,0.163754,0.1521685,0.14243804,0.1340166,0.12392739,0.1096673,0.09071392,0.06972848,0.050455827,0.03598607,0.02713838,0.023335367,0.023218988,0.025463074,0.028784608,0.032318894,0.03571416,0.0390434,0.042358175,0.045364957,0.047357112,0.047447402,0.044929147,0.03988598,0.03444252,0.03347511,0.04424851,0.0715862,0.114019684,0.16125034,0.20135121,0.2279011,0.24685085,0.27063167,0.30751672,0.34985432,0.37729403,0.37156484,0.33301827,0.27980578,0.23411106,0.20642625,0.19454308,0.19014138,0.18742174,0.18425192,0.1808881,0.17719261,0.17259587,0.16709737,0.16243403,0.16122295,0.16458397,0.17064695,0.17500953,0.1734462,0.16453864,0.15127444,0.13888021,0.13059974,0.12401264,0.11381922,0.09758585,0.07978332,0.06796772,0.067180306,0.07716969,0.09528119,0.118584156,0.14420557,0.16751994,0.18378311,0.1899417,0.18676336,0.17714165,0.1644146,0.1506399,0.13668086,0.122769326,0.10917744,0.09655387,0.08544984,0.07566444,0.066000074,0.055295397,0.04367503,0.032894816,0.024941877,0.020566387,0.018836025,0.018284744,0.017913036,0.017558029,0.017451376,0.017868316,0.018939033,0.020566918,0.022455426,0.02410361,0.024948554,0.024446813,0.02240099,0.019193789,0.015892854,0.014087067,0.015788889,0.023374597,0.038517356,0.06042267,0.08455577,0.10435609,0.11516061,0.11707427,0.11501342,0.1144192,0.11792477,0.12242908,0.122503586,0.113959305,0.09821486,0.08070298,0.0676935,0.0628974,0.06586283,0.0723126,0.07540927,0.07045286,0.058449063,0.04687694,0.044347424,0.05535114,0.07703041,0.10195712,0.121632226,0.13106945,0.12915914,0.118399926,0.10316244,0.08948389,0.08376712,0.08957487,0.104640335,0.121085234,0.13052858,0.12951042,0.121609055,0.11402274,0.112274505,0.11636933,0.121991776,0.12425066,0.121411525,0.114827774,0.10694733,0.09960101,0.094217025,0.092189215,0.09373071,0.09610023,0.09487018,0.089523055,0.09010475,0.11577157,0.18035488,0.27433455,0.3616424,0.40204737,0.3800468,0.31488496,0.24132575,0.18432973,0.14901076,0.12988476,0.122056805,0.124370635,0.13515496,0.14961863,0.16089827,0.16348107,0.15487531,0.1369425,0.11556228,0.09983987,0.096779875,0.10721036,0.1241163,0.13821423,0.14301373,0.13749437,0.12398085,0.10661447,0.0905498,0.081752144,0.08408896,0.097058535,0.114236355,0.12751451,0.13106777,0.12610894,0.1186426,0.11577389,0.11939547,0.12593551,0.129177,0.12701027,0.12268254,0.12232993,0.12802257,0.13660483,0.14172946,0.13934666,0.12867734,0.111822486,0.09212039,0.07376108,0.060434792,0.054301526,0.055999786,0.06653313,0.08638782,0.113885306,0.14259423,0.16500111,0.17538978,0.17270584,0.15786509,0.13347697,0.10359883,0.074690856,0.05360262,0.045423348,0.052174907,0.07190883,0.09840975,0.1217083,0.13298,0.12921157,0.115787126,0.10200436,0.09524927,0.09592091,0.09892464,0.098389976,0.09375205,0.09002879,0.09346371,0.105084926,0.11979554,0.13014813,0.13149351,0.12320664,0.10730141,0.086815566,0.06542058,0.04681811,0.033724524,0.027567735,0.02929836,0.03991364,0.05889575,0.0826797,0.10480234,0.11950841,0.124405086,0.12117531,0.11273716,0.10125486,0.08739418,0.0718478,0.05634296,0.04388796,0.03772067,0.040154696,0.05099534,0.066861294,0.081752665,0.09009772,0.08965126,0.08248248,0.0730254,0.06502495,0.059864473,0.05657385,0.05440353,0.05477112,0.061441183,0.07676798,0.098546304,0.12041067,0.13637947,0.14462285,0.14712866,0.1469052,0.1455648,0.14348364,0.1401637,0.1349439,0.12706222,0.11674794,0.10539543,0.094952255,0.08620006,0.078161456,0.06911225,0.05825682,0.04650562,0.035684053,0.027512074,0.022824494,0.021751782,0.02335102,0.026124934,0.028557435,0.03135948,0.03732041,0.049106788,0.06522649,0.079403125,0.084572054,0.07774165,0.062030334,0.043529913,0.027766854,0.017542608,0.013667318,0.016094936,0.023477683,0.032874506,0.039798155,0.041998427,0.041238353,0.04342315,0.053219046,0.0706723,0.09015455,0.105129115,0.11206999,0.1123924,0.10959318,0.10643664,0.10341463,0.09990716,0.09539774,0.090012394,0.08419394,0.0782981,0.0724355,0.066476256,0.060204845,0.053506687,0.046497304,0.03953681,0.033080038,0.027482761,0.022862457,0.019129233,0.016174166,0.013984743,0.012607479,0.011947606,0.011710606,0.011510047,0.011099278,0.01044996,0.009717025,0.009087595,0.00869279,0.008531876,0.008492862,0.008411307,0.008160554,0.0077034575,0.0070924493,0.0064358506,0.0058425455,0.0053697447,0.0050071804,0.0047065094,0.0044294526,0.0041637546,0.0039150016,0.003695408,0.0035324309,0.003458998,0.0034938764,0.0036134077,0.0037696417,0.003918244,0.0040465407,0.004148343,0.0041988962,0.0041458313,0.0039587165,0.0036635587,0.0033430727,0.0030785145,0.0029117859,0.0028335534,0.0028047871,0.0027662925,0.0026520465,0.0024107974,0.0020398775,0.0016076728,0.0012392566,0.0010650684]