[0.011580087,0.010749276,0.009105811,0.0073776976,0.006069748,0.0052582007,0.004760479,0.0043772957,0.004009362,0.003628417,0.0032435416,0.0028698605,0.0025255617,0.0022207268,0.0019616925,0.0017571184,0.0016240835,0.0015719143,0.0017363485,0.0033575476,0.009905234,0.027493412,0.061142225,0.1105445,0.16701843,0.21865143,0.25613844,0.2779977,0.2878126,0.29110458,0.2916495,0.29142204,0.2907124,0.2892483,0.2870954,0.28490174,0.2835159,0.28301895,0.28288487,0.28229085,0.28094718,0.27909005,0.27765897,0.2778558,0.28045765,0.28500915,0.29011095,0.29502824,0.300572,0.30793253,0.3165336,0.32359144,0.32672977,0.32580492,0.32310197,0.32046688,0.31862208,0.3172426,0.31683254,0.3182619,0.32187167,0.32634008,0.32960123,0.33073497,0.33088183,0.33228686,0.33573294,0.3394005,0.3394827,0.3326697,0.31818035,0.29817486,0.27666262,0.25737414,0.24292369,0.23420513,0.23080938,0.2307467,0.23136163,0.23049279,0.22771668,0.22377767,0.21929406,0.21366619,0.20620485,0.19730027,0.18972178,0.18653749,0.18980734,0.19827051,0.20920946,0.21926995,0.22609816,0.22817506,0.22476427,0.21755286,0.20936018,0.20431268,0.20395184,0.20826145,0.21511018,0.22310632,0.23158836,0.24041146,0.24915183,0.25646317,0.26151547,0.263654,0.2634808,0.26146662,0.25860906,0.2553827,0.2525934,0.25154445,0.25475183,0.263926,0.27753785,0.2896861,0.29391596,0.28742465,0.27308574,0.25623667,0.24131548,0.2294475,0.21917152,0.20759396,0.1929181,0.175225,0.15675184,0.13955812,0.124887735,0.11237255,0.101400025,0.09111262,0.08158136,0.07370768,0.069684595,0.070773035,0.07601779,0.080810554,0.08019212,0.07136311,0.056578804,0.040477812,0.027626775,0.019485904,0.01645147,0.019772349,0.033375468,0.058272004,0.0890275,0.11229565,0.117671244,0.10386767,0.08070206,0.05875428,0.043615554,0.03432072,0.028166428,0.02342788,0.019869395,0.017565133,0.016201753,0.014996442,0.013393267,0.011312733,0.009260014,0.007646494,0.006655105,0.0062840227,0.0067270915,0.008382683,0.011180743,0.014235233,0.015896967,0.015197746,0.012410474,0.0090353945,0.006454307,0.005592495,0.00772809,0.015467326,0.032350596,0.058786586,0.08914093,0.11195298,0.117621295,0.10467377,0.08108272,0.057302002,0.039901976,0.02956578,0.02403927,0.021197287,0.019806826,0.019034864,0.017856188,0.01570514,0.012685251,0.009641039,0.007522641,0.008316702,0.016411133,0.03882092,0.08082954,0.14025204,0.20560665,0.2621355,0.30027342,0.3192599,0.324164,0.3208656,0.31403628,0.30685887,0.30125067,0.29740787,0.295024,0.29456082,0.29708478,0.30184305,0.304921,0.30218995,0.29304573,0.28156182,0.27225688,0.2674751,0.2672793,0.2715405,0.2792398,0.2874171,0.29238805,0.292722,0.29041252,0.28840604,0.287613,0.2865062,0.2825507,0.27503154,0.2643232,0.2521115,0.23867755,0.22537561,0.21378767,0.20691879,0.20513563,0.20664437,0.2087471,0.21206194,0.2200677,0.23565729,0.2574093,0.28004292,0.2983389,0.31004763,0.31599128,0.3178333,0.31669804,0.31270432,0.30554047,0.2949721,0.28142536,0.26582214,0.24938172,0.23316085,0.21788613,0.20218821,0.18285279,0.15750478,0.13119425,0.11689187,0.12773971,0.16460155,0.21295719,0.25314298,0.27425915,0.27911928,0.27706572,0.27488363,0.27350795,0.27111125,0.26640555,0.25960156,0.25132474,0.24244438,0.23399377,0.22732599,0.2228839,0.2200614,0.21738769,0.21474911,0.21390907,0.21891944,0.23265749,0.2546064,0.27900612,0.29875877,0.30941638,0.3116813,0.3087496,0.30307016,0.29512036,0.28472075,0.27246085,0.25954258,0.24699025,0.23495668,0.22317229,0.21132888,0.19940741,0.18703109,0.17339794,0.1575825,0.140939,0.12824671,0.12754656,0.14362472,0.17389685,0.20681058,0.23086993,0.23997526,0.23609765,0.22302741,0.20451431,0.1843354,0.16846353,0.16207981,0.16433904,0.16743676,0.16179569,0.1444584,0.1204197,0.098139316,0.08232224,0.07232579,0.064623564,0.056557298,0.047764372,0.039327264,0.03239777,0.027169218,0.023111597,0.019574443,0.016373908,0.013648983,0.011765928,0.01115815,0.012474856,0.015613536,0.019422712,0.021551728,0.020614872,0.016868368,0.012367508,0.008793294,0.007123495,0.008596703,0.016399084,0.034912486,0.06459513,0.09859091,0.12337705,0.12857936,0.11321715,0.08706645,0.061443757,0.04329284,0.032822847,0.027808994,0.026275476,0.02721188,0.029370626,0.030723216,0.029637104,0.025871268,0.020995513,0.017919758,0.020990698,0.03608276,0.06775141,0.11488678,0.16760553,0.21191867,0.23795293,0.24631399,0.24572732,0.2457524,0.25094175,0.2602273,0.2703855,0.27819383,0.28155664,0.2791016,0.27181217,0.26291952,0.25713706,0.2574546,0.26420224,0.2746183,0.28463736,0.2903291,0.2904022,0.2862413,0.28069615,0.275267,0.27056226,0.2667905,0.26539826,0.2670286,0.27155063,0.27715626,0.28248373,0.2860076,0.2865009,0.28238407,0.27360496,0.26237383,0.2526099,0.24736272,0.24676935,0.24868388,0.2502481,0.25042686,0.24981989,0.25076053,0.2548573,0.26266706,0.27230954,0.28116488,0.2863095,0.28599492,0.27917507,0.26592192,0.24740292,0.22622494,0.20518827,0.18594213,0.16784947,0.14903034,0.1281893,0.105869405,0.08480529,0.06904953,0.06420034,0.07518238,0.103164256,0.14216082,0.18102507,0.20991719,0.22532634,0.22995476,0.22792047,0.22204332,0.21387337,0.20519656,0.19824217,0.1948204,0.19570397,0.2005047,0.2081021,0.21708815,0.22572488,0.23147768,0.23276015,0.23203169,0.23885787,0.26337913,0.3065662,0.35284266,0.37993607,0.37439537,0.34132114,0.2978178,0.25939438,0.23270088,0.21581815,0.20440382,0.19440703,0.18409868,0.17307596,0.16197476,0.15130407,0.14102757,0.13033882,0.11819902,0.10510702,0.09402329,0.089949615,0.09458581,0.10421566,0.10974992,0.105410814,0.091125794,0.0729729,0.055790324,0.043015566,0.03724696,0.04391719,0.06682626,0.10395307,0.14390631,0.17366622,0.18566956,0.18319727,0.17407428,0.16510886,0.15785348,0.15115024,0.14329113,0.13352619,0.12193797,0.10913253,0.09614057,0.08377427,0.07229196,0.061317902,0.050646126,0.040905673,0.033289447,0.028464265,0.0257328,0.023481896,0.020535776,0.016908592,0.013558271,0.011391456,0.010923386,0.012982723,0.019549884,0.033981394,0.058250953,0.089799285,0.12011758,0.13919081,0.14195696,0.13115396,0.114244014,0.09778894,0.08536207,0.07792404,0.074975096,0.07446871,0.07352989,0.07016098,0.06445663,0.05810355,0.052592665,0.04814665,0.0439339,0.04038846,0.040551256,0.050517734,0.073176034,0.10447296,0.13106848,0.1411704,0.13108437,0.109275036,0.0864225,0.06933556,0.05767894,0.048885096,0.041296963,0.03516389,0.030938623,0.028096937,0.025470087,0.0222139,0.01848329,0.015105992,0.013183179,0.014532745,0.02142497,0.035917785,0.055555116,0.07369606,0.081021704,0.074420415,0.057570487,0.03966063,0.026585719,0.02107328,0.024044594,0.039499853,0.069081806,0.10779798,0.14077337,0.15452717,0.1448081,0.12066875,0.09416527,0.073277794,0.05885004,0.049065907,0.042684536,0.03913453,0.037551194,0.0358249,0.032548025,0.027523838,0.022312291,0.01825576,0.016162114,0.016193612,0.018801043,0.024215644,0.03147622,0.038199008,0.041890457,0.042251896,0.04155107,0.043561462,0.05003233,0.06051064,0.0728982,0.08794286,0.10703095,0.13022278,0.15192507,0.16622543,0.17098211,0.170518,0.1700834,0.17175673,0.1736108,0.17329496,0.17118175,0.17017932,0.1734818,0.18171494,0.19338857,0.20603283,0.2181098,0.2285658,0.23738086,0.24548467,0.25699615,0.27696726,0.31021166,0.3521075,0.39115047,0.4100871,0.4035029,0.37722397,0.3476045,0.32394412,0.3069471,0.290099,0.26940557,0.24551524,0.22149324,0.19955301,0.17935662,0.16014574,0.14170958,0.12531812,0.11170583,0.1006793,0.09084476,0.081471585,0.0727365,0.065656416,0.060896743,0.058274712,0.056607444,0.054603275,0.05221406,0.052039385,0.058177773,0.07390215,0.0983148,0.12672162,0.1521761,0.16897179,0.17365171,0.16597442,0.14850396,0.12662518,0.10721605,0.09673449,0.09857043,0.11168486,0.13073806,0.14877951,0.15978597,0.16076443,0.15169369,0.13525207,0.11626331,0.10065525,0.094045974,0.09904447,0.11434009,0.13442408,0.15291728,0.16503066,0.16976343,0.16812633,0.16141494,0.14954656,0.1323971,0.11115684,0.08948388,0.07192519,0.061545044,0.05764982,0.056244407,0.052965567,0.046210468,0.03845672,0.03415725,0.037478123,0.04979381,0.069581,0.09225512,0.11258223,0.12670879,0.13425286,0.13716768,0.1380617,0.13855582,0.13955979,0.14150393,0.14441414,0.14739838,0.14905544,0.14822684,0.14484094,0.13971685,0.13415599,0.12943186,0.12655558,0.12573563,0.12627585,0.12692408,0.12667917,0.124914385,0.12122208,0.11546069,0.108336,0.1016367,0.09713489,0.095406465,0.09518982,0.09486795,0.0934316,0.09119896,0.088687204,0.08629004,0.08396257,0.08183748,0.08028555,0.08002141,0.081569076,0.08499056,0.08934292,0.09331461,0.09561988,0.09591735,0.09443099,0.09172744,0.0881162,0.083545394,0.07773263,0.0704135,0.061918233,0.05318713,0.045592815,0.040011227,0.036367122,0.033652037,0.031008562,0.028586378,0.027598815,0.029061103,0.032583747,0.03622881,0.03768642,0.035694316,0.03058069,0.023868429,0.017286962,0.012313042,0.010079326,0.011833404,0.018377345,0.029430235,0.042850345,0.055855528,0.0662955,0.073698305,0.078381084,0.08071592,0.08078591,0.078916855,0.075772785,0.072099835,0.068235,0.06403344,0.05896032,0.05265351,0.045281116,0.0378811,0.03244279,0.032446798,0.04413451,0.07495287,0.12943535,0.20110756,0.27258277,0.32189,0.33746374,0.32257608,0.29220203,0.2600095,0.23287536,0.21033114,0.19053514,0.17328845,0.16062891,0.15436946,0.1539157,0.15637662,0.1583835,0.15830767,0.15701354,0.15706475,0.16190173,0.17281376,0.18827836,0.2025242,0.20986307,0.20552814,0.18857938,0.16058902,0.12787701,0.101183094,0.09273606,0.10953084,0.14607804,0.18613757,0.21019185,0.20893967,0.18652327,0.15668851,0.13079926,0.11333034,0.1031081,0.09954414,0.10371203,0.11601777,0.13290702,0.14846843,0.15737773,0.1573426,0.14810051,0.13144319,0.11159644,0.09508724,0.08741843,0.08923485,0.096093364,0.10224787,0.10539133,0.10813328,0.114949465,0.12835099,0.14580046,0.16191046,0.170699,0.16914953,0.15659952,0.13497344,0.10771101,0.080556855,0.060456682,0.053983893,0.06359618,0.08598906,0.11245066,0.13389434,0.14486916,0.14577739,0.13983692,0.13031773,0.118668616,0.10593804,0.093584396,0.083709426,0.07826238,0.07887262,0.08663457,0.1001541,0.1146036,0.12242743,0.11902069,0.10521012,0.08708632,0.070243634,0.05783053,0.050811324,0.05128676,0.061985184,0.08383846,0.112873375,0.14175615,0.1636561,0.17594065,0.17968468,0.1771426,0.17038292,0.16138081,0.15317327,0.14759497,0.14453298,0.14047065,0.1325761,0.119875036,0.10547236,0.09346536,0.08773578,0.08998854,0.100202225,0.11716237,0.13726632,0.15529935,0.16475052,0.16344112,0.15339093,0.14035384,0.12737638,0.11502754,0.10251836,0.09205314,0.08771578,0.09296682,0.106840074,0.124362916,0.13881056,0.14572783,0.14428388,0.13680542,0.12625861,0.11448121,0.102098405,0.08933736,0.07715538,0.06713037,0.06144862,0.062354293,0.070839316,0.08530292,0.100924455,0.113078386,0.12022964,0.12546133,0.13157867,0.13791649,0.13974129,0.1343775,0.12409285,0.115386665,0.112891234,0.11663458,0.12281179,0.12790245,0.13065529,0.13161947,0.13094954,0.12759957,0.12013149,0.10856947,0.09519503,0.08477006,0.08408476,0.101411484,0.14150679,0.20017076,0.26070592,0.30271676,0.31339908,0.29604694,0.2643055,0.232373,0.20746352,0.19084401,0.18271925,0.1847747,0.19898403,0.22399741,0.25504687,0.2864494,0.31430805,0.33495066,0.3428934,0.33162534,0.3002403,0.2559071,0.21210895,0.178468,0.1582189,0.14827849,0.1470394,0.15488191,0.17309803,0.19955426,0.22919019,0.25692222,0.2798524,0.296831,0.3061808,0.3054243,0.29140636,0.26246312,0.21999498,0.17232609,0.13437495,0.12480595,0.1579691,0.23584938,0.34414664,0.45588517,0.5451012,0.5969567,0.6109932,0.59145355,0.54262197,0.46800497,0.37744465,0.2858056,0.20929138,0.15631594,0.12652196,0.11254556,0.10734028,0.107155114,0.11206981,0.12277797,0.13868746,0.15712382,0.17386304,0.1843912,0.18526946,0.17553155,0.15665962,0.13226262,0.10721732,0.086577184,0.07403874,0.07056927,0.07455414,0.08296185,0.093031056,0.103182554,0.11290378,0.122104846,0.13102926,0.14117165,0.15696757,0.18401583,0.22592752,0.27724722,0.32474938,0.35149193,0.34994158,0.3244859,0.28946614,0.25660744,0.23047666,0.2082197,0.186319,0.16343607,0.1410622,0.12138107,0.10624329,0.09635773,0.091028325,0.08860577,0.088170074,0.090895675,0.09941759,0.11417387,0.1318927,0.14648324,0.15451778,0.1565653,0.15671414,0.15807776,0.1617924,0.16749285,0.17497285,0.18494909,0.19611186,0.204822,0.20459266,0.19292885,0.1724331,0.15101413,0.13461284,0.125436,0.12214736,0.123481154,0.12920336,0.13903622,0.15175043,0.16495647,0.17672016,0.18616827,0.19359739,0.19897412,0.20115387,0.19800395,0.1885656,0.1744961,0.16030324,0.15040027,0.14704381,0.14917992,0.15444367,0.16020001,0.16471738,0.16743298,0.17004786,0.17579299,0.18640293,0.19944437,0.209109,0.21136467,0.20679368,0.1998409,0.19410779,0.19055279,0.18806404,0.18590538,0.18453275,0.18478183,0.18730694,0.19210547,0.19944431,0.20889498,0.21899486,0.22654675,0.22923271,0.22825135,0.23119175,0.24851005,0.28765377,0.34243572,0.3947654,0.4215614,0.41320062,0.37584385,0.32781658,0.28330538,0.24838185,0.22117513,0.19912429,0.1811424,0.16739957,0.15753241,0.1499001,0.14271177,0.13487016,0.12686071,0.12075279,0.120261274,0.1293516,0.14895363,0.17448203,0.19634312,0.20517717,0.19580795,0.16970916,0.13302098,0.0959265,0.069482036,0.0634619,0.08026289,0.11318926,0.14709924,0.16792512,0.1692328,0.15538244,0.13496281,0.1152725,0.09950744,0.08923292,0.08741181,0.09853374,0.12617247,0.16812038,0.21576743,0.25713253,0.28364125,0.2929579,0.2880529,0.2727904,0.24950011,0.21857245,0.18104137,0.14047797,0.103697516,0.07753578,0.065975435,0.06787044,0.079164214,0.095076405,0.11285031,0.13119708,0.1485256,0.16154297,0.1662267,0.16170262,0.15089244,0.13884823,0.12814002,0.118369676,0.1075055,0.095114164,0.08287906,0.07421636,0.07158035,0.07519574,0.08194711,0.08780163,0.08963215,0.08764098,0.084926225,0.08660963,0.09653158,0.113735475,0.13118152,0.13952686,0.13442604,0.11945614,0.103394575,0.092801996,0.0892872,0.09006638,0.09212729,0.09336334,0.09289267,0.089464046,0.081845604,0.06941468,0.05360189,0.03746929,0.024554314,0.017832251,0.019159961,0.029509673,0.046240237,0.0634048,0.07238064,0.069249205,0.056077804,0.040583935,0.028732302,0.023688069,0.026645334,0.040684987,0.067765824,0.10404255,0.13724184,0.15381365,0.14812769,0.12635966,0.10013062,0.07821528,0.06361333,0.056754857,0.0589636,0.071937695,0.09501439,0.12362202,0.15139014,0.17312805,0.1870631,0.19380768,0.19511528,0.19245453,0.18736489,0.1813906,0.17606056,0.17233627,0.17032965,0.16977496,0.17037664,0.17230874,0.17551254,0.17969449,0.18474883,0.19152467,0.20182528,0.2165255,0.23473744,0.25292212,0.267086,0.27402067,0.27356133,0.2674516,0.25806108,0.24597132,0.2305311,0.21100114,0.18833077,0.16465724,0.14234415,0.12264102,0.10584381,0.09252856,0.0861487,0.094801195,0.12792264,0.187591,0.26025972,0.3208591,0.3475584,0.33681682,0.30238235,0.2633219,0.23075664,0.20635302,0.18698351,0.17048864,0.15665142,0.14575219,0.1375153,0.13098155,0.12565048,0.12135484,0.118505515,0.117771894,0.12048262,0.12725212,0.13666405,0.14427407,0.14521147,0.13714428,0.12209728,0.104444884,0.08832971,0.07745079,0.07616841,0.089252084,0.11659598,0.15055321,0.1779723,0.18981446,0.18537967,0.1713146,0.15399095,0.13684842,0.12022427,0.10408035,0.08856984,0.074260004,0.06210853,0.053079996,0.047805548,0.04579504,0.046066176,0.047686886,0.050776135,0.05600394,0.06405887,0.07457802,0.08628965,0.09710267,0.10518474,0.109189294,0.10876726,0.10414272,0.096734196,0.08966764,0.08773499,0.094940715,0.111039974,0.13057077,0.14554478,0.15054162,0.14479887,0.1315799,0.115068465,0.09890326,0.08539828,0.07615509,0.07244728,0.07502085,0.08285826,0.09218809,0.09785079,0.096357256,0.08843166,0.07884904,0.07407435,0.079596795,0.09692959,0.122708045,0.14915825,0.168853,0.1777759,0.17695542,0.16895686,0.15585326,0.13826323,0.11746042,0.09605426,0.07718349,0.06255288,0.05150791,0.042264465,0.033473052,0.025299624,0.018770335,0.015608713,0.018094266,0.028643506,0.046794906,0.066982694,0.07979029,0.0785641,0.06431056,0.0448747,0.028348349,0.018833306,0.017553115,0.026736826,0.049235508,0.08319432,0.118368365,0.14014556,0.14003737,0.121176116,0.09518293,0.07239628,0.058232564,0.054164395,0.061981704,0.08040708,0.10336699,0.11915293,0.12010159,0.10614055,0.085553735,0.06592763,0.051973525,0.045097355,0.04749693,0.05995606,0.08004335,0.100786604,0.115843944,0.12362132,0.1275251,0.1311065,0.13377957,0.13326885,0.12985529,0.12872835,0.1342531,0.14537267,0.15538673,0.15893102,0.15582275,0.15035683,0.14624304,0.14508134,0.14762688,0.15504926,0.16775839,0.18275404,0.19512697,0.20108642,0.20164432,0.20074631,0.20310627,0.21304053,0.23677026,0.2808802,0.34487215,0.4142374,0.46357286,0.4728029,0.44016048,0.3832527,0.32492495,0.2811819,0.25571617,0.24364124,0.23636298,0.22596562,0.20905288,0.18929775,0.17862117,0.19138668,0.23528755,0.30279863,0.3741527,0.42817953,0.45362243,0.45026514,0.4237199,0.37997153,0.32527933,0.26711258,0.21392459,0.17210634,0.14391874,0.12719218,0.11810514,0.11479197,0.11941036,0.13631032,0.16676907,0.20584863,0.24352904,0.2709886,0.28338677,0.28000537,0.26123673,0.23033313,0.1949377,0.16634102,0.15315133,0.15602042,0.16812508,0.18079793,0.1888259,0.19082384,0.1867876,0.1762497,0.1594574,0.1388663,0.11910361,0.10418714,0.095095284,0.08906177,0.0820901,0.07167544,0.05836327,0.044509243,0.0325823,0.023927355,0.019009136,0.017644713,0.019152278,0.022109715,0.024848891,0.02602137,0.025289772,0.023068309,0.02021284,0.017543469,0.01586395,0.015728682,0.017191673,0.019536123,0.021635234,0.022587875,0.022277197,0.021269813,0.020367218,0.020142363,0.020791074,0.022196965,0.024010843,0.025720483,0.026729496,0.026585974,0.025219897,0.023081625,0.020958118,0.019591026,0.019309951,0.019965261,0.021140227,0.022366831,0.023218608,0.023331838,0.022550328,0.02109685,0.019514654,0.018432131,0.018236438,0.019045385,0.020691304,0.02280368,0.024728224,0.025705943,0.025209231,0.023354901,0.020900428,0.018777816,0.01756262,0.017299892,0.017727869,0.01851167,0.019256877,0.019576147,0.01920665,0.018278712,0.017142572,0.016188314,0.01558252,0.015435825,0.015834296,0.016791634,0.018014751,0.018962951,0.019154178,0.018499888,0.017277272,0.01587305,0.014517521,0.013307278,0.012261805,0.011441824,0.010905405,0.010722215,0.010866598,0.011228607,0.011688399,0.012290631,0.013228953,0.014631693,0.016296636,0.017715244,0.018356584,0.018011427,0.016899781,0.015474391,0.014191176,0.013234624,0.012517955,0.0116744405,0.0104736425,0.009086365,0.008280191,0.008836608,0.011010987,0.014136338,0.017242707,0.019715711,0.02187722,0.024488484,0.029746464,0.04382517,0.07978929,0.15135065,0.2589931,0.3783308,0.4706067,0.507688,0.49217165,0.44870296,0.40298715,0.36436346,0.3309469,0.29738227,0.2632003,0.22926211,0.19758767,0.16823824,0.14148723,0.11679608,0.094719715,0.07742548,0.07029587,0.08052228,0.11093662,0.15504341,0.19573967,0.21604289,0.20788397,0.17765306,0.1387487,0.10537577,0.08909579,0.10232728,0.15573101,0.24862552,0.35837507,0.44823837,0.48861095,0.47744405,0.43498048,0.38651147,0.34523106,0.31468847,0.29457363,0.2861548,0.28843936,0.2959775,0.29945847,0.29085696,0.26916334,0.24161208,0.21983379,0.21147613,0.21547763,0.22370802,0.22780325,0.2250017,0.21904583,0.21751325,0.22650172,0.24631643,0.27061114,0.29048744,0.30000898,0.29729643,0.2824483,0.25624314,0.22254324,0.18950742,0.16534458,0.15246108,0.14568348,0.13820148,0.12780161,0.11862368,0.11622724,0.12231734,0.13333559,0.14397861,0.15147895,0.15672688,0.16259275,0.17266895,0.19339351,0.23395431,0.30042383,0.38368094,0.45891246,0.49759412,0.49011064,0.44874606,0.39836535,0.35525873,0.32407725,0.30002034,0.27921435,0.25956568,0.24169283,0.22600175,0.21299481,0.2026692,0.19549948,0.19169219,0.19148403,0.19394659,0.1980036,0.20042999,0.19830912,0.1888609,0.17459075,0.16023715,0.15196566,0.15205282,0.16212529,0.18607499,0.23223431,0.3065927,0.40076545,0.48984456,0.54314923,0.5476889,0.51330847,0.46438113,0.41740254,0.37675592,0.33801794,0.29904053,0.26067948,0.22536027,0.1938736,0.16576143,0.14019129,0.11695399,0.09646747,0.07982951,0.06867508,0.06499646,0.0696523,0.08113252,0.09497856,0.10624356,0.11148576,0.11069431,0.10594753,0.10121872,0.100468926,0.106898755,0.11929742,0.1323344,0.13845772,0.13460886,0.12341064,0.11139598,0.10293892,0.099042706,0.098613955,0.101326495,0.107710935,0.117241,0.12694138,0.13188002,0.1285939,0.117492326,0.1033039,0.09154611,0.08685451,0.09465287,0.12536186,0.19067466,0.29007652,0.3998722,0.48174456,0.5088063,0.48428273,0.43435553,0.38536707,0.34736875,0.3175627,0.2894505,0.26094303,0.23279549,0.20741527,0.18539788,0.16595556,0.14723702,0.12891869,0.113550745,0.10611549,0.11168829,0.12975144,0.1528576,0.16816913,0.1681413,0.15412438,0.13619797,0.12300921,0.11907027,0.12624611,0.1512004,0.20383193,0.28786474,0.38716042,0.46996436,0.5061198,0.49121153,0.44354057,0.3904023,0.3455598,0.31122118,0.28200147,0.2559637,0.23188591,0.20958407,0.18653357,0.16104867,0.13297686,0.10532684,0.0818638,0.065879576,0.059120636,0.06197126,0.07269394,0.08705562,0.10011566,0.10877221,0.11269322,0.11228178,0.10708452,0.0982807,0.0907856,0.092897564,0.10687103,0.1263645,0.13744427,0.1329247,0.114362955,0.09151131,0.070588104,0.05472606,0.045211345,0.04753224,0.06835416,0.111775786,0.17308293,0.24035378,0.29809514,0.33558717,0.34860787,0.34031022,0.31911483,0.3012611,0.3063468,0.3469654,0.4124495,0.47299552,0.49702212,0.4780728,0.43219236,0.3848898,0.34778056,0.32119596,0.29867992,0.2783948,0.25954604,0.24169861,0.22179735,0.19801705,0.17075534,0.1431001,0.11845005,0.10083229,0.09473067,0.104820736,0.13037261,0.16417463,0.19296037,0.20654388,0.20039195,0.17856961,0.14929605,0.12551649,0.12285604,0.1564428,0.23111121,0.33119693,0.42395934,0.4760356,0.47681856,0.44028163,0.39217654,0.3488976,0.31439933,0.28618762,0.26470944,0.25373706,0.25581262,0.2684909,0.2846583,0.29696164,0.30062377,0.2937611,0.27539855,0.24563742,0.20676112,0.16447093,0.12582089,0.09658331,0.07856607,0.0698676,0.066391826,0.064163014,0.062097963,0.062719405,0.07206791,0.09218103,0.11834123,0.13733196,0.1400572,0.12558843,0.10345799,0.08211679,0.06625465,0.055591855,0.050081957,0.0491837,0.051237445,0.052569926,0.050412934,0.044498205,0.037038915,0.030264175,0.02555831,0.025646156,0.039148565,0.080990024,0.16370937,0.28005603,0.3986694,0.47739008,0.49534047,0.46206203,0.4082614,0.35682264,0.3156977,0.28112474,0.25087705,0.226071,0.209176,0.20011419,0.19606708,0.19353355,0.19042532,0.18628673,0.18180968,0.17848949,0.18014537,0.19066447,0.21097414,0.23380108,0.24686687,0.2386112,0.20707,0.16056138,0.11451885,0.08664774,0.09444841,0.15020014,0.2486958,0.36134997,0.44617727,0.4767467,0.45693865,0.41417003,0.37223998,0.3395586,0.31178945,0.28569862,0.26264313,0.24626394,0.23671788,0.2305984,0.2233424,0.21266253,0.19884843,0.1837728,0.16953461,0.15825005,0.15114588,0.1480869,0.14706562,0.14657338,0.14668404,0.14958899,0.1560914,0.1641711,0.16957207,0.1701444,0.16750593,0.16430707,0.16031823,0.15211739,0.13840112,0.12228137,0.10932613,0.10167254,0.09760057,0.09467948,0.093791224,0.0976241,0.10746071,0.120671965,0.13343607,0.14316332,0.15035473,0.15627144,0.16238475,0.171265,0.19031195,0.23071976,0.29934207,0.386011,0.46341214,0.5017279,0.49178758,0.44787636,0.39545122,0.35049203,0.31682947,0.29143867,0.2720699,0.25723344,0.24361296,0.22727895,0.20578189,0.18169726,0.16039646,0.14717501,0.14360124,0.14752729,0.15544124,0.16286063,0.16667469,0.16400065,0.15650123,0.14677425,0.13831545,0.13025923,0.123440884,0.12494337,0.15182196,0.21766818,0.3159578,0.41417524,0.47352132,0.4769113,0.4379197,0.38576245,0.34077248,0.30788338,0.28143194,0.2564529,0.2307306,0.205333,0.1818614,0.1620631,0.14650746,0.13507229,0.12702921,0.12189218,0.1191887,0.11845703,0.11876818,0.11905656,0.11843718,0.116951324,0.11501137,0.11245053,0.107501596,0.098718815,0.08805758,0.082573995,0.089964844,0.11096859,0.13604413,0.15113164,0.14900808,0.13351318,0.115243085,0.10179631,0.09498375,0.09297616,0.09489293,0.10054466,0.10859444,0.11489677,0.1151656,0.10781023,0.09582885,0.08410066,0.07703552,0.07897082,0.098440625,0.1479556,0.23351271,0.34025204,0.43324625,0.478097,0.46675253,0.41933134,0.36610925,0.32406846,0.29394367,0.26798904,0.24125172,0.21366449,0.1880772,0.16680549,0.14967674,0.13501598,0.12128431,0.1089704,0.10058585,0.09925264,0.10754164,0.123452745,0.14123979,0.15167886,0.15115358,0.14184244,0.13203718,0.12686072,0.12941273,0.14345938,0.17943801,0.24684425,0.34004524,0.43166074,0.48628697,0.4873161,0.4463462,0.39183283,0.3441979,0.30869758,0.28013214,0.25463766,0.23154645,0.21128513,0.19176494,0.16936399,0.14173946,0.1108462,0.08159972,0.05945033,0.0474536,0.047308456,0.059091102,0.081154056,0.10806648,0.13226654,0.1465075,0.14706177,0.1343603,0.11385944,0.09543386,0.09063607,0.10453075,0.13055854,0.15218352,0.15538204,0.13762155,0.10848555,0.0804455,0.061772,0.055110585,0.05983479,0.074714996,0.09916321,0.13462842,0.18199778,0.23805487,0.29163408,0.32782933,0.3351396,0.3149183,0.28357473,0.26819694,0.2909168,0.35195565,0.4243983,0.47129753,0.47301796,0.43824688,0.391549,0.35089877,0.32011107,0.29514012,0.27318692,0.2543236,0.23794432,0.22157235,0.20187826,0.17801188,0.15223779,0.12889741,0.112039626,0.103941746,0.10519724,0.11467695,0.13022093,0.14853306,0.16572332,0.17687666,0.17691082,0.16304485,0.13783926,0.11004724,0.09037516,0.08615445,0.09729257,0.11763967,0.13830143,0.15153903,0.15301648,0.14261827,0.1244016,0.10491419,0.09174066,0.09133237,0.10724624,0.13772254,0.17495175,0.20746589,0.22483033,0.22242534,0.20232964,0.17210476,0.14069133,0.11604776,0.10200375,0.09832736,0.1007722,0.10481611,0.107907556,0.11124468,0.11664307,0.124019146,0.13081497,0.1358762,0.14242427,0.15406473,0.17019475,0.18238832,0.18333395,0.1704198,0.14880209,0.123331435,0.098420225,0.07818388,0.06977242,0.078581534,0.102462985,0.1298114,0.14731047,0.14982826,0.1426721,0.13490136,0.13060153,0.1299627,0.13622296,0.16153602,0.2198718,0.31008986,0.40765068,0.47442183,0.48809376,0.45494103,0.40311602,0.35603997,0.32195342,0.29675305,0.2753823,0.2557517,0.23736374,0.22060148,0.20637155,0.1964339,0.19172685,0.19179855,0.19582784,0.20294583,0.2123866,0.21990855,0.21946375,0.20546226,0.18001802,0.15105265,0.12741755,0.11127648,0.101161756,0.101068616,0.1260826,0.19274752,0.29772624,0.40943852,0.4833407,0.4961778,0.45855343,0.40327337,0.35491684,0.3199898,0.29146057,0.26301095,0.23316897,0.20391007,0.17751013,0.15492527,0.13662279,0.12254065,0.11302334,0.10820737,0.1084275,0.11296725,0.11958903,0.12401555,0.12228519,0.113386124,0.10053641,0.08895648,0.08244965,0.08233067,0.08899698,0.10380343,0.12678815,0.1531819,0.17298503,0.17733257,0.16507532,0.142933,0.118875034,0.096519776,0.07614908,0.05876346,0.047316205,0.04326717,0.044151437,0.044724476,0.041598003,0.034955196,0.027766617,0.022551915,0.023271801,0.038786832,0.084864795,0.1721973,0.29137743,0.40733495,0.48014447,0.4914968,0.455058,0.39962557,0.34694144,0.30338737,0.26660866,0.23400544,0.20531373,0.18099134,0.16114913,0.14548104,0.13379368,0.12577291,0.12063065,0.118086986,0.11930815,0.1274864,0.14257151,0.15917945,0.1660786,0.15688069,0.13324292,0.10561719,0.08265573,0.07033509,0.07433114,0.1064503,0.17730103,0.2812462,0.38875547,0.46029916,0.47483864,0.44175816,0.38997343,0.34237373,0.30619064,0.27711,0.25049895,0.2250653,0.20186605,0.1819957,0.16551886,0.15151195,0.13832594,0.12423565,0.10879444,0.09379361,0.08324332,0.08038891,0.08531087,0.094332814,0.10323004,0.10970176,0.114026956,0.11764588,0.122917175,0.13303645,0.15100485,0.17504722,0.19719957,0.20557062,0.19364153,0.16385122,0.12654373,0.09160141,0.06485871,0.04763563,0.040061332,0.041656848,0.05107379,0.06495815,0.07941168,0.09116536,0.09917057,0.10365576,0.10567856,0.10777512,0.11750448,0.14878313,0.2147267,0.31174603,0.41258422,0.47835556,0.4879942,0.4505426,0.39565384,0.3466479,0.3102993,0.28110176,0.25343403,0.22589271,0.19936375,0.17516959,0.15397477,0.13665493,0.12342738,0.11387834,0.108255364,0.10828838,0.11733574,0.13379508,0.1508265,0.1567647,0.1479962,0.1289139,0.11107571,0.100639075,0.10060298,0.114984035,0.15525444,0.2310429,0.33377728,0.4325993,0.489681,0.49014544,0.44771895,0.3931742,0.3461977,0.31138718,0.28161055,0.25229558,0.22205913,0.19301277,0.16639894,0.1428302,0.12168047,0.10230691,0.08436651,0.06896914,0.05879894,0.057150874,0.06493015,0.078800224,0.09226946,0.1003176,0.10230998,0.101293616,0.10016035,0.10059578,0.104225434,0.11463239,0.13314977,0.15587538,0.17206843,0.17335881,0.15826517,0.13395835,0.10767955,0.08409045,0.06537514,0.05514692,0.056252927,0.06670278,0.07818545,0.08147094,0.07322781,0.05775458,0.04238589,0.032474935,0.032336093,0.05071218,0.10132638,0.19286446,0.31258634,0.42601708,0.49401665,0.5017381,0.4626905,0.4065874,0.3537484,0.31095698,0.27435693,0.24083298,0.2093197,0.18139412,0.1587482,0.14273964,0.13361038,0.13044667,0.13152598,0.13550425,0.14234138,0.15279715,0.16577168,0.1780972,0.18637627,0.190877,0.1929866,0.19208182,0.18486947,0.17361802,0.17234813,0.20160873,0.27075228,0.36326241,0.44274262,0.47741422,0.4624717,0.41816977,0.37017128,0.33080414,0.29941192,0.27102944,0.24485599,0.22277607,0.20692493,0.19694637,0.19069298,0.18454297,0.17466295,0.15906133,0.13961549,0.122637056,0.1143683,0.11677978,0.12482355,0.13100086,0.12928496,0.11873899,0.10205751,0.08474281,0.07337723,0.073928714,0.08931589,0.11564746,0.14320596,0.15932053,0.15749909,0.13947205,0.11448639,0.090969115,0.07464234,0.067820065,0.07263154,0.08804166,0.1092518,0.12692109,0.13475782,0.13195899,0.124800436,0.11931553,0.12045488,0.13316394,0.16785242,0.23434098,0.32858717,0.42404655,0.4843441,0.48966655,0.4501864,0.3944094,0.3452804,0.30876458,0.28028086,0.25464338,0.23149513,0.21176471,0.19634587,0.18353528,0.17125924,0.15743284,0.14225388,0.12810451,0.11905985,0.11902318,0.12808846,0.14111848,0.14865638,0.1441306,0.12791984,0.10703209,0.08833297,0.075849615,0.074662626,0.09662062,0.15659042,0.25655106,0.37312284,0.4652023,0.5013805,0.48128608,0.43101132,0.37940964,0.3393837,0.3085876,0.2800294,0.25054428,0.22134338,0.19515418,0.17382596,0.15691216,0.14255935,0.12824799,0.11304576,0.09815479,0.087344944,0.08406889,0.08914103,0.099042445,0.108863086,0.11512091,0.11777622,0.1184149,0.118842594,0.12062043,0.12578835,0.1363094,0.1508779,0.1639682,0.1674385,0.15752767,0.13669868,0.11259986,0.091548674,0.07738796,0.071704514,0.0754861,0.0874333,0.10294282,0.115909524,0.122286595,0.12199295,0.11728265,0.11106413,0.1083748,0.12026632,0.16167645,0.24048133,0.3428308,0.4359686,0.48625162,0.4847159,0.44678,0.39893913,0.35611132,0.3212364,0.28909042,0.25717273,0.22506785,0.1946674,0.1667086,0.1414184,0.118180186,0.09704164,0.07872066,0.06590576,0.06247294,0.072854035,0.09703634,0.12984708,0.16095398,0.18308978,0.19400169,0.19796227,0.19940269,0.20386617,0.21889578,0.25641707,0.32264677,0.40738985,0.481526,0.515315,0.49899843,0.44838467,0.3894057,0.3395716,0.3023153,0.2734426,0.24958919,0.2310257,0.21943009,0.21476918,0.21425109,0.21398848,0.21185522,0.20803489,0.20426162,0.20163809,0.20062007,0.20119701,0.2035772,0.2077222,0.21303381,0.21864013,0.2238075,0.22818764,0.2316718,0.23449673,0.23740946,0.23965174,0.23895814,0.23212819,0.22089319,0.21113865,0.20987463,0.21691805,0.22588186,0.22942442,0.22754024,0.22692883,0.23510472,0.25200775,0.2700788,0.27949086,0.2769827,0.2668374,0.25848508,0.2614733,0.28462616,0.3326194,0.3996415,0.4667909,0.51012033,0.5182081,0.4980075,0.46774378,0.4392227,0.41335523,0.3838273,0.3476775,0.30693576,0.2673286,0.23293765,0.20549393,0.1843155,0.16839953,0.15615629,0.1452656,0.13389096,0.123324744,0.11974162,0.12970349,0.15439695,0.18576987,0.2120884,0.22473668,0.22360654,0.21439677,0.20478539,0.1993395,0.19834898,0.19779588,0.19322343,0.18324952,0.17184041,0.16552715,0.16888778,0.18106394,0.19697954,0.21085943,0.2192492,0.22122633,0.21701707,0.20690514,0.19102699,0.17040826,0.14751698,0.12629808,0.11044977,0.101834156,0.09953678,0.10070615,0.10225377,0.10243264,0.101371,0.10003846,0.09898666,0.097590216,0.094930835,0.09056938,0.085064106,0.079168774,0.0734789,0.06815257,0.063434064,0.05967805,0.05730081,0.056319546,0.056279954,0.056365322,0.05588003,0.05466208,0.05316409,0.052072953,0.051619504,0.05133504,0.050209507,0.0473837,0.04262328,0.03653281,0.030185767,0.0245213,0.019909615,0.01620507,0.013173875,0.01076443,0.0090676285,0.008076463,0.007611091,0.0074014734,0.007249865,0.0070726015,0.0068904795,0.006734263,0.006622404,0.006517714,0.0064012487,0.006264249,0.0061460338,0.006049985,0.005977823,0.0059320927,0.0060049333,0.0063490043,0.00720286,0.008835842,0.011538574,0.015404279,0.020249078,0.025553277,0.030785957,0.03552929,0.039609615,0.04288678,0.045228478,0.04640877,0.04612869,0.044023115,0.03983434,0.033731174,0.026511297,0.019526435,0.014684971,0.01472089,0.023755163,0.0457655,0.081598766,0.12580214,0.16862838,0.20136373,0.2215241,0.23242545,0.23944394,0.24662423,0.25554374,0.26514575,0.27224457,0.2739881,0.27094042,0.26765904,0.26804245,0.27264175,0.27863392,0.28604642,0.295853,0.30705568,0.31222323,0.30472386,0.28579774,0.26522675,0.25319245,0.25237355,0.2588736,0.26686487,0.2732705,0.27759862,0.28074038,0.28357825,0.28657123,0.28983375,0.29316443,0.29643953,0.3004303,0.308697,0.32837558,0.36583886,0.41867828,0.4705678,0.49953708,0.49265227,0.4561386,0.4074233,0.36221972,0.32608688,0.3004937,0.28793445,0.29227367,0.31163672,0.33655193,0.35507226,0.36066794,0.35612527,0.34904206,0.34655714,0.35007998,0.3571738,0.36275277,0.3624532,0.35168454,0.32675782,0.28580937,0.23178852,0.17334543,0.12356307,0.098294795,0.11351945,0.17775054,0.2805151,0.38938618,0.46590766,0.49135765,0.4758205,0.44535968,0.4191304,0.40383628,0.39924774,0.40676567,0.42610458,0.45129883,0.4702672,0.47215524,0.45192114,0.41132987,0.3558116,0.29439113,0.23916371,0.20393662,0.19763,0.22003663,0.2599388,0.30250725,0.33546543,0.3556851,0.3659279,0.37211546,0.3778688,0.38427806,0.38766542,0.38094962,0.35710743,0.31793422,0.27728683,0.25415727,0.25773478,0.27967247,0.3016838,0.31073058,0.3088605,0.30801335,0.3195428,0.34432256,0.37430128,0.39767995,0.40774786,0.40474558,0.39561543,0.38980234,0.3973544,0.42508173,0.4706142,0.5183156,0.54458493,0.5333106,0.4876715,0.4267173,0.37066555,0.32806855,0.29645908,0.269105,0.24213088,0.21507068,0.18898094,0.16465525,0.14240366,0.12334582,0.10927703,0.10290869,0.106706895,0.12296144,0.1502565,0.1828584,0.2099957,0.22314478,0.21883442,0.20149124,0.17806356,0.15706652,0.1475433,0.16257012,0.21408395,0.30332777,0.4085804,0.4938322,0.52850217,0.51122206,0.463789,0.41461483,0.37723055,0.35279143,0.33593,0.3230921,0.3102294,0.29233447,0.26452732,0.225959,0.18083315,0.13630982,0.09895139,0.07289119,0.059517056,0.05758704,0.063436076,0.0716584,0.0774393,0.07792598,0.07293299,0.06373671,0.052995387,0.045042306,0.04599768,0.06218152,0.09544615,0.14107297,0.18787412,0.22519998,0.24610156,0.24853735,0.23245306,0.20066606,0.16158481,0.12772177,0.11073863,0.11371565,0.1309183,0.15136866,0.16618316,0.17192964,0.17021231,0.16531247,0.16451971,0.18029457,0.22718187,0.308807,0.40697336,0.48591182,0.516789,0.49636933,0.4465164,0.3923459,0.34696236,0.30969194,0.2766367,0.24629764,0.22009619,0.19874215,0.18188037,0.16851495,0.15819286,0.15061653,0.14618097,0.14732851,0.15868966,0.1826724,0.21422197,0.23965947,0.24555112,0.22806871,0.19774444,0.17127113,0.16176236,0.17311557,0.20579587,0.26121643,0.33821344,0.42193738,0.48511538,0.50353116,0.47609803,0.4231054,0.3705318,0.33063796,0.3019896,0.27674207,0.25117418,0.22620456,0.20491268,0.18789504,0.17250568,0.15522526,0.1353036,0.11591237,0.101497255,0.09420351,0.09206114,0.09038437,0.08505991,0.07607562,0.06901491,0.071960695,0.08949547,0.11806136,0.14833172,0.17202336,0.1873724,0.19699343,0.20256887,0.2014123,0.19015108,0.16867177,0.14179094,0.11565644,0.09547364,0.08400478,0.08201385,0.08761843,0.09719948,0.10660874,0.11279779,0.1137126,0.10835228,0.09703812,0.0824277,0.071209244,0.07587933,0.1135537,0.194798,0.30922937,0.42150894,0.49137592,0.5010912,0.46574828,0.41625103,0.37498114,0.3462638,0.3238062,0.3012509,0.27679214,0.2514327,0.22708505,0.20482872,0.18551318,0.170044,0.16030394,0.15817374,0.16465665,0.17742269,0.19077538,0.19667195,0.19014029,0.17208177,0.14940703,0.12953869,0.1166328,0.11263114,0.123709105,0.16370021,0.24484856,0.359351,0.47255862,0.5402861,0.5422062,0.49320796,0.4290838,0.3756045,0.33842263,0.30900782,0.27959406,0.24893893,0.22035795,0.19781454,0.1823213,0.17268984,0.16585864,0.15883403,0.14901872,0.13538657,0.11877054,0.10141003,0.085792065,0.07369641,0.06617345,0.06331685,0.06401064,0.066122144,0.06850997,0.07279391,0.0832016,0.10116294,0.12194067,0.13477863,0.13244961,0.11613318,0.09554898,0.07964619,0.07204268,0.07069186,0.072503656,0.07592019,0.0801541,0.08394751,0.08452263,0.08036768,0.07211865,0.062935695,0.055545907,0.054326255,0.06945098,0.118770756,0.21483088,0.34635007,0.47299767,0.5482154,0.55210096,0.5025088,0.43667507,0.3818219,0.34456766,0.31749418,0.29298246,0.26810995,0.24379545,0.2208944,0.19904463,0.17752455,0.15657723,0.13780531,0.123475134,0.11668525,0.12113967,0.13866942,0.16702181,0.1982916,0.22478783,0.24148138,0.24952644,0.25112918,0.25022104,0.25261354,0.27012348,0.3155116,0.38999784,0.47345304,0.531004,0.5374124,0.49494478,0.42954516,0.3688371,0.3245509,0.29373235,0.26838776,0.24588041,0.22755565,0.21665068,0.21265157,0.21232091,0.21015017,0.20233215,0.18745767,0.16743012,0.14567,0.12562323,0.10871431,0.09434446,0.081224225,0.069404125,0.06041679,0.05624178,0.057638407,0.06515988,0.078965746,0.099406905,0.12194046,0.13896526,0.14089996,0.12668316,0.101825655,0.07746298,0.060446355,0.054170843,0.057160035,0.06633865,0.07712249,0.08648413,0.09362339,0.09883923,0.10079386,0.096770085,0.08532318,0.07040308,0.06408068,0.08624544,0.15514685,0.2708737,0.40383258,0.50666773,0.54374176,0.51573616,0.45275295,0.3897108,0.34339276,0.31475425,0.2985218,0.29210663,0.2928171,0.29618844,0.2978375,0.2957485,0.28967407,0.2766797,0.25345895,0.22098505,0.18929861,0.17019653,0.1687329,0.17761172,0.1853983,0.18375504,0.17138846,0.14983548,0.12372166,0.104768515,0.11427655,0.17281783,0.2806806,0.40646157,0.5012898,0.53075475,0.49783155,0.4342061,0.37354708,0.3297805,0.2994412,0.2730173,0.24617861,0.21903342,0.19404423,0.17221849,0.15371506,0.13764063,0.123250954,0.10985909,0.09831243,0.09127697,0.093266524,0.10760445,0.13423626,0.16847283,0.20338978,0.23201519,0.24913128,0.2509881,0.23754513,0.21355523,0.19013172,0.17643082,0.1754386,0.17920892,0.17994982,0.1735946,0.16431503,0.15607953,0.15163763,0.15067078,0.15269761,0.15652426,0.16035944,0.16266178,0.1629629,0.16231014,0.1617523,0.16182907,0.16322805,0.1709017,0.19623245,0.25291348,0.34146425,0.44013795,0.51052564,0.5259482,0.48802623,0.4250127,0.36539438,0.32274863,0.29349384,0.26974905,0.24634542,0.22295313,0.20054118,0.1801377,0.16206898,0.1470191,0.13582808,0.129535,0.12921447,0.13508242,0.14608525,0.15708028,0.16171122,0.15417378,0.13652624,0.11487472,0.09666327,0.08391309,0.08028426,0.09695176,0.15263192,0.25480634,0.38324675,0.49262372,0.54268986,0.52504677,0.4657122,0.3994707,0.34766755,0.31260327,0.2892393,0.2724646,0.25922224,0.24470563,0.22564036,0.20240676,0.18080337,0.16606192,0.15944932,0.15760227,0.15668939,0.15456946,0.15088196,0.14562449,0.13864763,0.12982588,0.119772136,0.110215776,0.103902094,0.10352841,0.11076206,0.12530406,0.14449704,0.16290712,0.1742702,0.17421593,0.16354473,0.14670812,0.12900811,0.11328829,0.10099426,0.09359638,0.09282225,0.09861374,0.10773966,0.115152575,0.1165336,0.11040908,0.09821548,0.086579554,0.08925792,0.12748335,0.21429038,0.3384135,0.457055,0.5235669,0.517876,0.4609523,0.3909254,0.33515632,0.29779235,0.27015492,0.24454127,0.21906565,0.19551116,0.17471296,0.15619926,0.13847974,0.12111479,0.10431838,0.08988833,0.08062317,0.0803088,0.08909283,0.10227922,0.11060282,0.10891501,0.09815387,0.08494204,0.07333345,0.06656226,0.071849644,0.10679085,0.18695527,0.30707693,0.43038616,0.5099962,0.5209023,0.47636452,0.41037202,0.35093915,0.30665803,0.27454755,0.25076282,0.2366467,0.23490715,0.24654466,0.26817036,0.29479125,0.32214668,0.34811625,0.37146115,0.3904718,0.40275562,0.4058448,0.39841726,0.38135734,0.35763812,0.3307805,0.3026234,0.2731324,0.24177812,0.21013875,0.18230371,0.16300197,0.15411687,0.15291291,0.1542371,0.15392838,0.15133049,0.14784084,0.14533256,0.14480394,0.14673251,0.1506672,0.15523647,0.1583425,0.158777,0.15676396,0.15399052,0.15189828,0.1515196,0.15575667,0.17340434,0.21881802,0.3000829,0.40402222,0.49426743,0.5328179,0.50841093,0.44257832,0.37122273,0.31705058,0.28298482,0.25944063,0.23831117,0.21648239,0.19460864,0.17385697,0.15488376,0.13835803,0.12492802,0.11549244,0.111228295,0.11351191,0.1225789,0.1349402,0.14413749,0.14372589,0.13278314,0.115077086,0.09639714,0.0808507,0.07492579,0.09177223,0.14840664,0.24979313,0.37371668,0.4762156,0.51911265,0.49719366,0.43721965,0.37412444,0.3268095,0.29512712,0.2705641,0.24669689,0.22179902,0.19592042,0.16989611,0.14478047,0.12292657,0.1061289,0.09470502,0.08709713,0.08201933,0.079101466,0.07845939,0.07899506,0.07900456,0.077243544,0.07422913,0.071567975,0.071058,0.07445749,0.083144754,0.098062135,0.11594526,0.1301325,0.13185062,0.119384594,0.09762657,0.07624652,0.06011024,0.049914178,0.043776434,0.041853923,0.044444095,0.050503775,0.05686036,0.060967654,0.062244322,0.062122077,0.061981905,0.064338684,0.07669402,0.1142844,0.19234435,0.30797842,0.4306997,0.51455,0.53166157,0.48940787,0.42262137,0.3624185,0.3209032,0.29224834,0.26801738,0.24380064,0.22010906,0.19783647,0.1773998,0.15817113,0.14028163,0.12438702,0.11253381,0.10680708,0.10790964,0.112864695,0.11590317,0.11198033,0.10055757,0.08523071,0.07031197,0.058520436,0.054837793,0.07172788,0.12759747,0.23048615,0.36106852,0.47444716,0.52788204,0.51191413,0.45244002,0.38828167,0.34183732,0.31577644,0.3010487,0.29002452,0.27750143,0.25982958,0.23534293,0.20508079,0.1733759,0.14403461,0.11993121,0.10256668,0.0937447,0.09400382,0.101388134,0.11116893,0.119387,0.12586083,0.13454872,0.14714117,0.15932702,0.16222942,0.15464239,0.1481155,0.16058068,0.20059527,0.2587827,0.3169514,0.3587574,0.3798878,0.3827804,0.37547398,0.36534643,0.35948184,0.359261,0.36162445,0.35977456,0.3511599,0.3378648,0.32653406,0.32131132,0.32424042,0.3362085,0.3612946,0.4032068,0.45853755,0.5112805,0.5402214,0.5338366,0.49987066,0.45720193,0.42007282,0.39058986,0.3667055,0.35145786,0.35197893,0.3696793,0.39568353,0.41637477,0.42337695,0.41711593,0.403856,0.38986993,0.37980616,0.37607065,0.37854743,0.38279152,0.3810726,0.36615956,0.33475587,0.28901336,0.23527242,0.18428814,0.15040159,0.15059017,0.19600366,0.28174946,0.38042018,0.4553388,0.48262763,0.4672418,0.43352485,0.4060811,0.3949287,0.39851072,0.40970683,0.4224958,0.431977,0.43667614,0.43592766,0.42792526,0.40691808,0.36871946,0.31867388,0.27617297,0.2664249,0.30306777,0.37510177,0.45028928,0.49621502,0.500003,0.47282705,0.4358861,0.40536472,0.38603735,0.37563005,0.36850342,0.35795936,0.3368821,0.30402413,0.26745895,0.2421752,0.2381901,0.25247982,0.2718992,0.2851058,0.29114258,0.2966716,0.30771732,0.32406256,0.34137675,0.35526028,0.36387205,0.36716488,0.36738995,0.3702947,0.38511238,0.41827896,0.46372327,0.5015823,0.5089884,0.47887436,0.42376387,0.3661753,0.32090577,0.28985044,0.2667657,0.24478887,0.22121258,0.19564961,0.17022401,0.14612116,0.12487007,0.1068196,0.09335559,0.08686978,0.09141278,0.111026525,0.1444301,0.18329124,0.21219344,0.22064288,0.20725507,0.18276745,0.15932636,0.14933127,0.16476078,0.21828091,0.31138435,0.42290878,0.5137137,0.5506912,0.5299404,0.47529802,0.41773343,0.37490186,0.34823367,0.3303714,0.3126394,0.28855154,0.25488266,0.2140144,0.17205699,0.13582681,0.108190924,0.09044582,0.088605106,0.11825213,0.19437067,0.31231245,0.43710855,0.52188915,0.54003054,0.5025434,0.44218066,0.38765585,0.35019112,0.3319293,0.3300978,0.34049213,0.3520061,0.35621467,0.34762183,0.32653174,0.29213095,0.24651165,0.19939505,0.16814561,0.1681334,0.20017727,0.24919045,0.2928559,0.31413713,0.30770984,0.27888018,0.23952483,0.20480072,0.19179474,0.21533398,0.2794448,0.3675053,0.44700077,0.48581338,0.4753023,0.4296846,0.37503472,0.32777974,0.29385778,0.26995108,0.25266013,0.23786633,0.22327453,0.20822811,0.1952843,0.18742202,0.18492025,0.18498324,0.18615697,0.19297962,0.21049231,0.23623462,0.2547662,0.2521368,0.22812526,0.20175529,0.19363476,0.21342273,0.2564012,0.31497863,0.3825905,0.4492599,0.4971018,0.5079984,0.4784683,0.42343947,0.36630562,0.322791,0.29548243,0.2783078,0.2639931,0.248896,0.23207663,0.21519782,0.19951762,0.186325,0.17512761,0.16664718,0.16540901,0.1836222,0.23442273,0.31836745,0.41236696,0.4798746,0.4959744,0.46527687,0.41423798,0.36857864,0.3386774,0.32192442,0.31222323,0.30335963,0.28968617,0.26563036,0.23139293,0.1916014,0.15412402,0.12415705,0.106480025,0.105885826,0.1251393,0.15905197,0.1932991,0.2130447,0.21171577,0.19334675,0.16592191,0.13666545,0.11367699,0.10986938,0.14062311,0.21176453,0.30903223,0.40164614,0.46141455,0.4807895,0.4720851,0.45354974,0.43577313,0.42177042,0.40943274,0.39420238,0.3686621,0.32975218,0.28574017,0.25898337,0.27089572,0.3243307,0.3946831,0.44746253,0.4625034,0.44497505,0.41376725,0.38248777,0.35398325,0.3245211,0.29265428,0.25965342,0.22962463,0.20846902,0.20641921,0.23345546,0.29112157,0.3622936,0.4184334,0.43547407,0.41220188,0.36580992,0.3184227,0.28214496,0.2624637,0.2658199,0.30172446,0.37087587,0.45569488,0.5264289,0.56229645,0.56423014,0.5486141,0.5283486,0.50461334,0.4727116,0.43206215,0.38810596,0.34691134,0.3119192,0.2846239,0.26542273,0.25184163,0.23718019,0.21723954,0.19678575,0.1899962,0.20602739,0.24004167,0.27368248,0.29298413,0.2960501,0.29324952,0.29299867,0.29777896,0.30420253,0.31095067,0.31876525,0.32699087,0.32880875,0.3146288,0.2800778,0.23058955,0.17799129,0.13345414,0.10598624,0.105511345,0.14273144,0.22012086,0.32140967,0.41515994,0.4727671,0.4874171,0.47347483,0.4517771,0.43406832,0.42156878,0.4097798,0.39402577,0.37079322,0.339902,0.30461252,0.27041513,0.2405324,0.21564786,0.19492446,0.1804807,0.17628236,0.1867574,0.21106558,0.2433352,0.2738799,0.29623964,0.30860558,0.31344247,0.31298736,0.3108171,0.3152318,0.33953264,0.39097023,0.45797062,0.5110247,0.5225787,0.48824313,0.4279686,0.36838555,0.32419714,0.29526874,0.2746007,0.25724214,0.24345303,0.23636045,0.23835291,0.24729665,0.2572488,0.26123777,0.25495586,0.23762332,0.21099366,0.1787265,0.1456412,0.11722922,0.0969804,0.085686244,0.08101424,0.08008577,0.0802513,0.08153027,0.086153924,0.098284155,0.117521085,0.13765074,0.14704679,0.14001687,0.1188328,0.09405593,0.074307926,0.0646443,0.06426197,0.06981472,0.07601896,0.07895482,0.07737464,0.07256293,0.06601719,0.058184814,0.049084466,0.04130542,0.043588538,0.07241983,0.1435823,0.25707626,0.3848032,0.48258814,0.5168794,0.48862934,0.42633852,0.36309144,0.315784,0.28496835,0.26462024,0.24956007,0.23759818,0.22734988,0.21878026,0.21118534,0.20308141,0.1911247,0.17435686,0.15688466,0.14805894,0.15354921,0.17048936,0.18661515,0.1913786,0.17991488,0.1557219,0.12428611,0.094899915,0.08107985,0.10239769,0.17318237,0.28773215,0.4122108,0.5009381,0.52568436,0.4935187,0.43558645,0.3809073,0.3400239,0.30845955,0.2790563,0.24915181,0.22056901,0.19528496,0.17393444,0.15486063,0.1363373,0.11708841,0.098142885,0.08257549,0.07483656,0.07804427,0.09209787,0.11342903,0.13700692,0.15776336,0.1711617,0.17295714,0.16205722,0.14323129,0.1275693,0.12470516,0.13488434,0.14700197,0.14820111,0.13454509,0.11300691,0.09418717,0.08377355,0.08165423,0.08479851,0.09088004,0.09795517,0.10451793,0.10918036,0.11197253,0.11371181,0.11568876,0.11833336,0.12335789,0.13650173,0.16988449,0.23386009,0.324838,0.41691604,0.4759448,0.48148778,0.44253913,0.3855292,0.33527946,0.29952836,0.27422974,0.251138,0.2266225,0.20024203,0.17400958,0.14915597,0.12661606,0.106850155,0.09081464,0.08066666,0.07971603,0.09133658,0.11379439,0.13868378,0.15263888,0.1479146,0.12670651,0.099822074,0.07655633,0.062010866,0.061096147,0.085824035,0.14968312,0.25232795,0.36696386,0.4525253,0.4799961,0.4534638,0.40039742,0.34979013,0.31330034,0.28916183,0.26990432,0.25093627,0.22924374,0.20416343,0.17631178,0.14863877,0.12426569,0.10527102,0.09175237,0.08314905,0.078863345,0.07794776,0.07858618,0.07853127,0.077157676,0.076000154,0.07779383,0.08364279,0.09203866,0.101085,0.11144158,0.1268127,0.14779073,0.168839,0.17923214,0.1735668,0.15421683,0.13003512,0.10733214,0.089761086,0.07905579,0.07768111,0.08564204,0.0994714,0.113036655,0.121757805,0.12359332,0.11892581,0.109668694,0.103143126,0.11461679,0.16323441,0.25533405,0.37073866,0.46696082,0.50718147,0.4851303,0.4263939,0.3642852,0.31795993,0.28720868,0.26364872,0.24017298,0.2155662,0.19113363,0.16920306,0.15031008,0.13427338,0.11963948,0.10533727,0.09216603,0.08411285,0.08663723,0.100044616,0.11726928,0.12611634,0.12039,0.10230712,0.08075804,0.06215103,0.05255668,0.062314708,0.109557234,0.20509474,0.33458018,0.45470598,0.5198806,0.51403695,0.45945048,0.39404276,0.3432065,0.31052884,0.28774056,0.26716122,0.24737257,0.23035608,0.21888845,0.21326591,0.21262044,0.21512419,0.21948008,0.22401117,0.22721314,0.22794296,0.22630967,0.22261183,0.21677214,0.20758848,0.19413523,0.17614508,0.1547202,0.13284408,0.11607435,0.11172894,0.12215668,0.14109288,0.15409674,0.15119398,0.13283607,0.11005198,0.093007095,0.08619577,0.08794886,0.09524214,0.10510146,0.11489732,0.122311175,0.12636961,0.12784429,0.12856846,0.13024028,0.13491113,0.14778502,0.17934771,0.24038959,0.32932445,0.4237884,0.48927286,0.50266564,0.46815977,0.41135624,0.35808575,0.3194886,0.29276204,0.27061534,0.24834628,0.22515996,0.20190193,0.17980008,0.15929142,0.14116374,0.12612458,0.11600003,0.11228616,0.11629521,0.12582879,0.13602734,0.13955195,0.13281278,0.116768666,0.09705675,0.078288294,0.06451057,0.06288158,0.08851703,0.15714566,0.2673876,0.38922682,0.47653818,0.49899885,0.46243188,0.39996052,0.34380862,0.30671737,0.28420413,0.26652104,0.24758671,0.22524917,0.20023674,0.17430234,0.15024148,0.13026571,0.11543629,0.10520599,0.09869298,0.09510133,0.09359875,0.092706405,0.090826355,0.087503515,0.08414021,0.0830228,0.085670985,0.09200859,0.10138434,0.11352559,0.12728846,0.13901187,0.14286356,0.13572624,0.11994109,0.102068804,0.08716061,0.07659108,0.069584124,0.0663279,0.06748182,0.0724009,0.078238904,0.082288176,0.08361629,0.083326854,0.08261757,0.08395562,0.0947119,0.12962127,0.20207465,0.30717614,0.4144242,0.48253092,0.49056026,0.4498361,0.3927621,0.34408984,0.3115192,0.2885388,0.2680588,0.24575543,0.2212658,0.19501096,0.16816974,0.14153697,0.11626316,0.09344887,0.07495974,0.0638951,0.06407001,0.077602424,0.099450566,0.118473195,0.121936776,0.10699011,0.080329105,0.054161508,0.036794454,0.035317633,0.06038739,0.12452141,0.22882928,0.3487761,0.44401753,0.48174453,0.4622694,0.411032,0.3595982,0.32225433,0.29936936,0.28383315,0.27078155,0.2557124,0.23480672,0.20622043,0.17207544,0.13760109,0.1072552,0.08351139,0.06728469,0.060140844,0.062899716,0.07444983,0.089499325,0.102204,0.108592,0.1097765,0.108013116,0.104680814,0.10036171,0.09978801,0.110931195,0.13712622,0.16978572,0.1921805,0.19332014,0.17564167,0.15189582,0.13304704,0.12336122,0.120817035,0.12239396,0.12561996,0.12921096,0.13239186,0.13502596,0.13749988,0.14043106,0.14425457,0.14883153,0.15343,0.15689494,0.15828206,0.15756905,0.15622588,0.15647765,0.1596777,0.16455962,0.16782592,0.16644774,0.16026367,0.15193708,0.14508195,0.14229055,0.14466484,0.1519547,0.16243498,0.17282991,0.17952275,0.1802393,0.17553715,0.16813229,0.1616083,0.15830033,0.15869395,0.1614796,0.16497694,0.16798659,0.17034747,0.17240018,0.17474328,0.17779054,0.18192683,0.18738277,0.19430953,0.20259134,0.2115447,0.2197332,0.22513717,0.2261679,0.22270109,0.21652217,0.21043317,0.20674127,0.20609085,0.20755063,0.2095316,0.21086645,0.21104145,0.21010566,0.20828162,0.20599204,0.20364366,0.20143098,0.1989681,0.19513273,0.18809421,0.17591251,0.15766156,0.13477693,0.11092171,0.09041006,0.07568264,0.06664682,0.061499875,0.0585845,0.056880515,0.05601312,0.055643782,0.05557013,0.055532116,0.0555826,0.05609264,0.057831634,0.06128928,0.06614826,0.07123674,0.07525908,0.07758729,0.07839607,0.07816989,0.07714055,0.0752888,0.072620876,0.06939877,0.065962724,0.06273846,0.060179394,0.058810305,0.058854092,0.06010965,0.062042028,0.0641152,0.06594715,0.06727472,0.06808293,0.06869718,0.06969646,0.071365744,0.07333368,0.07474079,0.074905075,0.073782384,0.07189736,0.069923066,0.0682837,0.067020096,0.06590729,0.06482934,0.06401304,0.06387362,0.06452222,0.06562644,0.06677991,0.06801548,0.06968241,0.07199264,0.074692935,0.07734967,0.07968137,0.08158934,0.08287427,0.08304146,0.081471436,0.07785391,0.07260408,0.06690427,0.062130522,0.05906761,0.057420418,0.056094673,0.053939696,0.05055572,0.04665162,0.0437678,0.043315094,0.04567781,0.04987565,0.054223347,0.057144772,0.05788824,0.056671035,0.054523263,0.05266734,0.051806226,0.051823918,0.052179456,0.05252793,0.052901816,0.05338521,0.05384886,0.053985443,0.053559136,0.052471284,0.050846566,0.04905631,0.04783416,0.048099536,0.05069379,0.055845927,0.06282163,0.069857985,0.074885696,0.07646809,0.07451927,0.070021026,0.06437237,0.058638632,0.053437684,0.0489915,0.045446545,0.04296696,0.041652765,0.041300535,0.041287173,0.040984485,0.040129542,0.03905611,0.03826212,0.03815496,0.03890716,0.04066585,0.04352567,0.047379415,0.051756445,0.05585729,0.058806356,0.05985647,0.05873163,0.05582242,0.0523897,0.050132584,0.050609965,0.054477513,0.061333183,0.06965272,0.07713574,0.081252925,0.0804208,0.0749574,0.067218564,0.06032932,0.05669872,0.05668335,0.059049096,0.061688017,0.06360937,0.06488493,0.06660258,0.06884814,0.07086264,0.07118302,0.069356866,0.0658286,0.06181103,0.058413696,0.05671699,0.057500634,0.06093344,0.06608931,0.071081184,0.073752664,0.07254739,0.067097634,0.05829626,0.047798533,0.037495956,0.029025614,0.02391919,0.023314105,0.027703926,0.036130134,0.046377894,0.05568408,0.062005963,0.06448552,0.06313933,0.058297943,0.050466657,0.040690027,0.030621072,0.022056783,0.01607897,0.012633485,0.0108164,0.009634276,0.008582937,0.007674728,0.0071245,0.0069990843,0.0071886894,0.007499995,0.007857411,0.008277376,0.008834106,0.009528968,0.010358295,0.0113231605,0.012487519,0.0138631165,0.015384502,0.016861029,0.018078431,0.01883474,0.019016532,0.018569237,0.017516611,0.015920922,0.013911656,0.011657554,0.0093939,0.007388642,0.005939463,0.005303168,0.0060298233,0.009510239,0.018500768,0.03573676,0.061407518,0.09102461,0.11719804,0.13376969,0.13917328,0.13585551,0.12757756,0.1174162,0.107649386,0.09963256,0.093596645,0.08809671,0.08150571,0.07276543,0.06252278,0.05184922,0.0420899,0.03383718,0.027578183,0.02365952,0.023130307,0.027340792,0.036833163,0.04975574,0.061725676,0.06834956,0.06788919,0.06252258,0.055973466,0.05114013,0.04855981,0.047545705,0.047203183,0.047084797,0.046846498,0.046146344,0.044795156,0.042948242,0.041047245,0.03949811,0.03844385,0.037669655,0.036735915,0.03522164,0.032968838,0.030188093,0.027316296,0.02480217,0.022896731,0.021600358,0.020662414,0.019703014,0.018379375,0.016587386,0.014517605,0.012538957,0.01097359,0.009925175,0.009262853,0.008721293,0.008055084,0.007147319,0.006048933,0.0049307696,0.0039830017,0.0033171475,0.0029140774,0.0026506893,0.0023756225,0.0019981076,0.001527593,0.0010497696,0.00065816985,0.00039811907,0.00025608178,0.00018845918,0.00015509524,0.00013401738,0.00011764362,0.000104051425,9.214387E-05,8.0899656E-05,7.000137E-05,5.9588405E-05,4.9937535E-05,4.1028954E-05,3.2823285E-05,2.5311287E-05,1.8599985E-05,1.2837558E-05,8.222643E-06,5.0914336E-06,3.760431E-06]