[0.095193945,0.093248904,0.088733576,0.08236878,0.07540274,0.069125414,0.064766236,0.06248857,0.06188467,0.06183946,0.061671525,0.060805008,0.059347805,0.05742486,0.05540803,0.053230103,0.050947115,0.048591822,0.046776574,0.045938075,0.04625782,0.047090653,0.04763032,0.04721724,0.045872767,0.04417116,0.04295301,0.042924777,0.04415137,0.04616681,0.048193086,0.049850896,0.051036227,0.051858295,0.052170396,0.051895946,0.050941,0.049514893,0.047874987,0.04666971,0.046560377,0.04808082,0.051036287,0.05481002,0.058647487,0.062147934,0.06508315,0.06734293,0.06889095,0.06998179,0.07105455,0.07242387,0.07399797,0.07537309,0.07633647,0.077085204,0.07814076,0.07967172,0.08165497,0.08393311,0.08681821,0.09015768,0.09334853,0.09506628,0.094675876,0.09217002,0.08827379,0.08348975,0.07825443,0.07286795,0.06777729,0.06335194,0.059977304,0.05779558,0.056937743,0.057202403,0.05875722,0.061782937,0.066844285,0.073720425,0.08165308,0.0892367,0.09556147,0.10046544,0.10441998,0.10811573,0.111948885,0.116187185,0.12066982,0.12508027,0.12890019,0.13180362,0.13368724,0.1345519,0.13441758,0.13333493,0.13178886,0.13054734,0.13054001,0.1320021,0.13461584,0.13731955,0.1392811,0.1398803,0.1393245,0.13815992,0.13719991,0.13698916,0.13770552,0.13922156,0.14095762,0.14187302,0.1402303,0.13477053,0.12554587,0.11472112,0.10460997,0.096336216,0.088921405,0.08127936,0.07350383,0.06708837,0.0634181,0.06244543,0.062795945,0.06278619,0.061554592,0.059304845,0.056701377,0.054409917,0.05261068,0.051130813,0.049536437,0.047626704,0.0456944,0.044281587,0.04371527,0.043739777,0.0438652,0.043748666,0.04347995,0.04334576,0.043542672,0.043977853,0.04436345,0.044460777,0.04423755,0.043925762,0.043841247,0.044279117,0.045285195,0.04667328,0.04802024,0.048939943,0.049249142,0.04906865,0.048724663,0.048513826,0.048630867,0.04903087,0.04964943,0.05032981,0.05104262,0.05166879,0.05222371,0.052703455,0.05330452,0.054208685,0.055638183,0.057697386,0.060341757,0.06337675,0.06647069,0.069416285,0.072164446,0.074753344,0.077015705,0.078432284,0.07849404,0.07690159,0.073815145,0.06974427,0.06569991,0.062887274,0.06201921,0.06269998,0.06389534,0.06482839,0.06561396,0.066622846,0.06807509,0.06975398,0.07147685,0.07315206,0.07486946,0.07673598,0.07879775,0.08086735,0.0826649,0.084023975,0.08522444,0.0865993,0.08824686,0.0897276,0.09067614,0.091204874,0.09196886,0.09363068,0.09628575,0.09954193,0.102722675,0.10545379,0.10766288,0.10963721,0.11167085,0.11397692,0.11668814,0.119825244,0.12331232,0.1267214,0.1296555,0.13185398,0.13351412,0.13481049,0.13572662,0.13580924,0.13432239,0.13044754,0.123841785,0.11534042,0.10680946,0.100125454,0.095732,0.0928245,0.090340145,0.08823568,0.087140866,0.08761239,0.0893913,0.09152374,0.0928945,0.09277892,0.09117707,0.088900305,0.08701176,0.086378776,0.08647882,0.08581854,0.082442604,0.076049894,0.06813662,0.0612254,0.05683541,0.05477099,0.054004777,0.05374591,0.053925317,0.05449858,0.05513457,0.05544212,0.055281535,0.055021938,0.05495,0.05536766,0.05607936,0.05691689,0.057464734,0.05762914,0.05730853,0.05655178,0.055358768,0.053834528,0.052285995,0.05098595,0.05018803,0.049840983,0.0499018,0.050150037,0.050474446,0.0506366,0.05055116,0.05016176,0.049706135,0.04944611,0.04957527,0.049967136,0.050360512,0.05053869,0.050452024,0.05015413,0.049727093,0.049265888,0.0488479,0.048533026,0.048340857,0.04832842,0.04852007,0.04892369,0.049411267,0.049830254,0.05001886,0.04995938,0.049739495,0.049538966,0.04949433,0.04964146,0.049876556,0.050025538,0.049960036,0.04967436,0.04926978,0.048844457,0.048450354,0.048103217,0.04782356,0.047616165,0.047450498,0.0473019,0.047198337,0.04722832,0.047436994,0.047762007,0.04804938,0.04818377,0.048184138,0.048185304,0.04831989,0.048621435,0.04899473,0.049333353,0.0495863,0.049871802,0.050313663,0.05100848,0.05186048,0.052810054,0.05383983,0.055101912,0.056644946,0.05836163,0.05993642,0.06108439,0.06170453,0.06189939,0.061897814,0.061938073,0.062311396,0.06322234,0.064697415,0.066378094,0.067777716,0.06855044,0.06881136,0.0688728,0.06889909,0.068710156,0.06809835,0.06724662,0.06666412,0.06681284,0.067664005,0.06883639,0.06980869,0.07027022,0.070180535,0.06986449,0.06976979,0.07023058,0.071177505,0.072190516,0.07251975,0.07130774,0.06798872,0.062999256,0.057909086,0.05462264,0.05403473,0.05574237,0.058905166,0.06331008,0.06910359,0.075768255,0.08178669,0.08549937,0.08640206,0.085324824,0.08390818,0.08369138,0.08568811,0.09000818,0.09572782,0.101130754,0.10449552,0.10494652,0.10294788,0.10001751,0.09804717,0.09823406,0.100609064,0.10415006,0.10760019,0.11008141,0.11112649,0.11057488,0.10842546,0.10499721,0.100955844,0.09692398,0.09340963,0.09022554,0.087177135,0.0840046,0.08108581,0.07885578,0.07760509,0.07700908,0.0763287,0.0749005,0.0727233,0.0706489,0.06976,0.07063755,0.07277635,0.075230666,0.07710185,0.078216285,0.078858286,0.07962273,0.08108447,0.08337916,0.08624198,0.08894894,0.090991415,0.0918597,0.09139643,0.0895583,0.08704423,0.08499325,0.08483141,0.08725781,0.091913246,0.097355,0.10200348,0.1048944,0.10592863,0.10548688,0.10417933,0.102862515,0.102536775,0.10394021,0.10728601,0.112464845,0.119284116,0.12700357,0.13386591,0.13732271,0.13609882,0.13128003,0.12622271,0.12332946,0.12281337,0.12247992,0.12084112,0.11788201,0.11516745,0.11375769,0.113918334,0.11539882,0.11821118,0.12252691,0.12776196,0.13268328,0.13567798,0.13611984,0.1340301,0.13010348,0.12487558,0.11915141,0.11370442,0.109183975,0.10583181,0.10369688,0.10305893,0.104110815,0.106820665,0.110429354,0.11400908,0.1166952,0.11833015,0.11929167,0.12015599,0.12118315,0.12220678,0.123094745,0.123851866,0.12475828,0.12584542,0.12727207,0.12912054,0.13172792,0.13500988,0.138622,0.14199175,0.1448599,0.14743075,0.1499558,0.15254962,0.15471786,0.1561038,0.15644898,0.15609197,0.15524882,0.1543161,0.15386446,0.15504669,0.15886961,0.16520637,0.17239673,0.17825253,0.18172838,0.18340965,0.18440938,0.18505372,0.18467768,0.18273365,0.17916548,0.17445005,0.16871405,0.1621389,0.15479554,0.14735371,0.14061098,0.13569118,0.13339983,0.13406841,0.1372583,0.14185278,0.14658658,0.1505404,0.15383439,0.15726008,0.16183954,0.16794264,0.1754589,0.18392996,0.19294213,0.20213872,0.21125592,0.22035943,0.22968937,0.2396452,0.25027105,0.2611659,0.27144232,0.28025508,0.28719208,0.29239103,0.29602337,0.2980722,0.29840675,0.29704723,0.29438928,0.2908001,0.28668022,0.2817433,0.27536,0.26676294,0.2558428,0.24288996,0.2278351,0.21011595,0.1896618,0.16801246,0.14816116,0.13268934,0.122560896,0.11671453,0.11353114,0.11135265,0.10906298,0.105730295,0.1009975,0.09513721,0.089089744,0.08400602,0.08060986,0.07876281,0.07751008,0.07580981,0.07318338,0.06987543,0.06648628,0.06340482,0.060783092,0.0585717,0.057042863,0.056517165,0.057206854,0.058760572,0.060504343,0.061831877,0.062385872,0.062251046,0.061621413,0.06093509,0.06047836,0.060466737,0.060874596,0.061568502,0.062425476,0.06329208,0.06409636,0.0647046,0.0650661,0.06519858,0.065248735,0.0654325,0.065823935,0.066342205,0.066767134,0.06701571,0.0671666,0.067400664,0.06784073,0.06851492,0.069284566,0.06984296,0.06985814,0.06963381,0.07000763,0.07166406,0.07359841,0.07372588,0.07042187,0.06460531,0.058830034,0.05581947,0.056419943,0.060250778,0.06553254,0.07074524,0.07419614,0.07570038,0.075487435,0.07446619,0.072756,0.07028604,0.06710882,0.06403348,0.062196184,0.06232144,0.064473815,0.06889678,0.077027686,0.09098339,0.11142963,0.13513671,0.1562478,0.16973615,0.17586948,0.17949413,0.18651056,0.19860835,0.21283889,0.2237904,0.2278084,0.22349906,0.21164024,0.19395827,0.17432235,0.15802155,0.15015657,0.15229233,0.16132987,0.17087364,0.17488635,0.17070013,0.15952897,0.14455062,0.12910335,0.1157841,0.10658685,0.10218677,0.1017684,0.10330694,0.10473415,0.1048935,0.10355543,0.10114133,0.09795608,0.09406454,0.08957385,0.08472821,0.080101125,0.07592117,0.07242662,0.06957362,0.06737747,0.065727465,0.06479413,0.06507194,0.0669205,0.06977362,0.07211128,0.07233632,0.069756985,0.06499125,0.059383675,0.054692313,0.05193961,0.051521156,0.052441064,0.05362499,0.05387007,0.0531024,0.051594596,0.050096784,0.049069565,0.048864502,0.04967348,0.051225033,0.052874446,0.053505477,0.05259217,0.050169613,0.047098856,0.044187218,0.042113602,0.041182905,0.041424517,0.04265945,0.044336762,0.045990884,0.04708144,0.047559623,0.04734236,0.046695814,0.045715544,0.0447,0.043714363,0.042807672,0.041837696,0.0407678,0.03965622,0.038690876,0.03797843,0.037553485,0.037339766,0.037398156,0.03780792,0.038734052,0.040083542,0.041604966,0.042834986,0.04347168,0.043471888,0.043132454,0.042849064,0.042846795,0.04308334,0.043364044,0.04365508,0.044104666,0.04485652,0.045769338,0.046449423,0.046553653,0.046025634,0.045156877,0.04437406,0.044071093,0.044415664,0.045309216,0.04642698,0.04738981,0.0479525,0.04805534,0.0478135,0.047424834,0.047172744,0.04727185,0.047785815,0.048515264,0.049260158,0.04993772,0.050732214,0.051783606,0.053096518,0.054398935,0.05539712,0.055906046,0.0559507,0.055669606,0.055190187,0.05461361,0.053995546,0.05338296,0.05280279,0.052294847,0.051913157,0.051684767,0.051624727,0.051760525,0.052132815,0.05268319,0.053210143,0.053547546,0.05376667,0.054218706,0.0551804,0.056579184,0.05791426,0.058645904,0.058530685,0.057820857,0.0570713,0.05688868,0.05763412,0.059252083,0.061253067,0.06293019,0.06375492,0.0636144,0.06284102,0.06193922,0.06137945,0.061333437,0.061686154,0.062100913,0.062359694,0.062448934,0.06253064,0.06271845,0.06308097,0.06367501,0.06450132,0.06536198,0.06583667,0.06556798,0.064492665,0.06296458,0.06151169,0.06061119,0.060400117,0.06059295,0.060610596,0.059914384,0.058399018,0.056438282,0.054676753,0.05356428,0.053044602,0.05368106,0.058745313,0.07596971,0.11273829,0.16764404,0.22425966,0.2590681,0.2568438,0.22157405,0.17116652,0.12412117,0.09009681,0.07032529,0.061983984,0.061106563,0.06326117,0.06435535,0.062050465,0.056324497,0.04903886,0.042292118,0.03734556,0.034025636,0.03150252,0.029197821,0.027406955,0.026770754,0.027567497,0.029133698,0.030523488,0.0310451,0.030851774,0.03017871,0.029110314,0.027309554,0.0248719,0.022297213,0.020496218,0.020021291,0.021089712,0.02342994,0.026580995,0.029932603,0.03281635,0.034646224,0.034951217,0.033973176,0.0324218,0.031198211,0.030299285,0.02936066,0.02834969,0.028211335,0.02961661,0.031918,0.033432588,0.033082385,0.03257863,0.038788687,0.06594083,0.13268341,0.25054893,0.4108239,0.58247906,0.72667384,0.8147064,0.8342809,0.78836304,0.6902433,0.5667909,0.4484701,0.36095372,0.31042835,0.28923067,0.28279066,0.28132477,0.2803311,0.2787833,0.27628967,0.27292868,0.2706262,0.27201006,0.27857018,0.28817353,0.29639113,0.29910967,0.29577383,0.28930223,0.2844237,0.28361145,0.2865552,0.28995454,0.29232267,0.29300085,0.2931851,0.2915415,0.2873194,0.28009868,0.2728162,0.26826322,0.26828673,0.2714454,0.27514872,0.27674544,0.27601564,0.2741226,0.2726804,0.27132022,0.26914856,0.26556444,0.2622122,0.26046947,0.26069322,0.26062548,0.2590165,0.25752786,0.26300296,0.2815999,0.3121215,0.34080443,0.3489373,0.32535684,0.27549547,0.21696635,0.16838515,0.14061542,0.13498338,0.1456731,0.1632369,0.17879184,0.18804108,0.19173662,0.193056,0.19412096,0.19564901,0.19802691,0.201254,0.20451063,0.20516062,0.20108019,0.19080837,0.17616354,0.16063106,0.1494218,0.14499749,0.14665267,0.15119971,0.15709636,0.16508573,0.17602558,0.1887273,0.20042138,0.20928936,0.21510716,0.21874668,0.22116761,0.22289784,0.22361493,0.22209255,0.21837185,0.214606,0.21451311,0.21844499,0.22286026,0.22158998,0.21229176,0.19656312,0.17876244,0.16138746,0.14539321,0.13115063,0.11963761,0.111696966,0.10704137,0.104624234,0.10340341,0.103141986,0.104095526,0.10610322,0.10814113,0.10856382,0.10643536,0.10188761,0.09612001,0.090450846,0.08609591,0.083793126,0.08360421,0.08479848,0.08616871,0.086750984,0.08600501,0.08386916,0.08060748,0.07695023,0.07383602,0.071929425,0.071213074,0.071137,0.070992164,0.07034262,0.06912813,0.067740045,0.0665569,0.065639935,0.06449565,0.06267228,0.060117323,0.057348356,0.05488651,0.0529891,0.051469713,0.04998648,0.04821411,0.046146046,0.04410544,0.04265238,0.042211983,0.042903513,0.044443864,0.046465572,0.048883513,0.05290026,0.061463203,0.07876408,0.1068156,0.14235073,0.17641272,0.19947632,0.20856737,0.21002991,0.21718943,0.2386896,0.27198932,0.30016756,0.30739793,0.28927314,0.25791785,0.22751868,0.20434503,0.18548042,0.1674258,0.1511705,0.13955827,0.13467635,0.13731496,0.14844607,0.1668673,0.18754236,0.20354037,0.21181689,0.21502191,0.21804178,0.22219378,0.22493951,0.22287273,0.21531843,0.203469,0.18905656,0.17378147,0.16103189,0.1556418,0.16099261,0.1750387,0.19065946,0.2002642,0.20201643,0.19985855,0.20011163,0.20499802,0.21245535,0.21741621,0.2167235,0.2100145,0.19978805,0.18914813,0.18041594,0.17465967,0.1716064,0.17056441,0.17066427,0.17162037,0.17333104,0.1754322,0.17697255,0.17675914,0.1774689,0.18739705,0.22311115,0.297727,0.41384044,0.55135816,0.6813732,0.7743098,0.81652,0.80300665,0.73930115,0.6382238,0.5250018,0.427067,0.36249492,0.33060762,0.3195659,0.31563804,0.3126458,0.3075917,0.3012352,0.29175153,0.2813259,0.27108312,0.2666333,0.26882517,0.27824566,0.28930905,0.2990234,0.30422744,0.30640942,0.30567384,0.30258408,0.29623973,0.2877067,0.27919635,0.27302954,0.27019772,0.26854858,0.2660565,0.2602453,0.25351882,0.24812914,0.24827783,0.2522652,0.25788984,0.25942943,0.255797,0.2467916,0.23718877,0.23045485,0.2300499,0.23456329,0.24118626,0.24611358,0.24848986,0.24906372,0.25000182,0.25417694,0.2661974,0.2889173,0.31845495,0.34121022,0.342172,0.31544495,0.26995596,0.22154586,0.18268204,0.157205,0.14356278,0.13951628,0.14276783,0.14924759,0.15231936,0.14605582,0.12901525,0.105224244,0.08146917,0.063004114,0.051702607,0.046242088,0.044444147,0.04444843,0.045351297,0.046489984,0.04740185,0.047768835,0.047986567,0.048804913,0.050876822,0.053846147,0.056660492,0.05831265,0.058681827,0.05827728,0.057533696,0.05642438,0.05476146,0.052531853,0.050085817,0.04786576,0.046450138,0.04630618,0.047910392,0.051435977,0.056717772,0.0629875,0.06901003,0.07339618,0.07509476,0.07386261,0.070326515,0.06585975,0.062063936,0.0603583,0.06164652,0.066072084,0.07366165,0.08467261,0.10062551,0.12192449,0.1468212,0.16925144,0.18278836,0.18280031,0.17012934,0.15016447,0.13186273,0.12432384,0.13150308,0.15009142,0.17068098,0.18617253,0.19425704,0.19695866,0.19505255,0.18920511,0.18264697,0.18074845,0.18670933,0.19692941,0.20533812,0.20745106,0.2044753,0.1991568,0.19352634,0.18618321,0.17518644,0.1602195,0.14529544,0.13589121,0.13447289,0.13666345,0.134511,0.12316208,0.10564762,0.09043336,0.08555309,0.093646325,0.1122615,0.13572781,0.1586842,0.17679437,0.18847315,0.19376288,0.19460891,0.19294524,0.19052331,0.18776439,0.18409497,0.17874376,0.17277962,0.17089456,0.18048072,0.20721227,0.24877656,0.29279968,0.32247135,0.32726595,0.3095349,0.28202653,0.2578664,0.24361032,0.23697917,0.23288012,0.22659259,0.2181173,0.20927608,0.20378108,0.20343564,0.20850497,0.21642083,0.22407149,0.22896959,0.23031957,0.22792296,0.22160332,0.21157195,0.199884,0.190274,0.18677665,0.19107701,0.20202243,0.21587521,0.2285338,0.23671573,0.23920934,0.23631823,0.22874458,0.21711822,0.20252109,0.1878741,0.17676435,0.17204379,0.17372088,0.18018605,0.18877317,0.19777763,0.20557131,0.21127357,0.21351965,0.21224539,0.20834781,0.20465158,0.20319171,0.2048427,0.20780124,0.20984875,0.2091919,0.20943548,0.22162284,0.26435524,0.3507189,0.47623062,0.6129026,0.7252025,0.78691417,0.79075426,0.7425329,0.6550606,0.54761314,0.4430618,0.3618236,0.3119556,0.2891465,0.282612,0.28229406,0.2823825,0.2796333,0.2740904,0.2673231,0.26337668,0.26444462,0.270524,0.2774725,0.28208816,0.28271583,0.28195372,0.28203216,0.28474227,0.28909758,0.29400018,0.29805025,0.3001456,0.29925403,0.2941651,0.28554237,0.27562568,0.26963902,0.27115393,0.28047964,0.29180887,0.29947793,0.30082238,0.29971087,0.29977015,0.30268964,0.30488944,0.3034921,0.29680738,0.28726557,0.27737126,0.26905465,0.2615246,0.2543295,0.24864388,0.24963613,0.26271927,0.29120293,0.32922697,0.3644652,0.3813182,0.3745633,0.3502945,0.32323048,0.3024138,0.28834963,0.275203,0.25996107,0.24446988,0.23314272,0.22847521,0.2299506,0.23521169,0.24203207,0.24852423,0.2537949,0.2572197,0.25935113,0.26078197,0.2621912,0.26327154,0.2629212,0.26038957,0.25560984,0.25057217,0.24717261,0.24725841,0.25021076,0.2547413,0.25927007,0.26350835,0.2669214,0.2677499,0.26338288,0.25336874,0.24074663,0.23139022,0.22928613,0.23485951,0.2438066,0.2515138,0.2548267,0.25424,0.25156626,0.24873137,0.24638689,0.24426453,0.24193801,0.2392233,0.23615593,0.2319982,0.22575371,0.21744339,0.20927204,0.20423615,0.20427929,0.20974518,0.22067787,0.23693258,0.25737822,0.27888247,0.2977272,0.31103352,0.3180437,0.3196337,0.31794807,0.3155478,0.31420484,0.3137779,0.3121824,0.30801475,0.3026981,0.3004543,0.30436507,0.313682,0.3241843,0.33196297,0.3356584,0.3361894,0.33473396,0.33173344,0.32756218,0.32314846,0.31977066,0.31771043,0.31600943,0.31376997,0.3113453,0.3104845,0.31238142,0.31688666,0.32245424,0.32710078,0.32923713,0.32742453,0.321663,0.31272617,0.3032973,0.2957314,0.2926371,0.29451728,0.30078188,0.3084011,0.31454685,0.31659803,0.31410694,0.30779585,0.3003792,0.29488203,0.29428384,0.3002319,0.3146366,0.3375709,0.3652588,0.3872973,0.39274105,0.37711918,0.34671876,0.31263328,0.28328776,0.26053464,0.24269612,0.2287557,0.22041209,0.22008039,0.2274506,0.23848005,0.2474276,0.25171244,0.25238058,0.25259244,0.25325584,0.25305995,0.24967422,0.24230576,0.23234296,0.22254263,0.21533541,0.21107978,0.20791017,0.20339607,0.19651864,0.18885599,0.18282144,0.17959078,0.17758049,0.1745681,0.17012048,0.16609919,0.16399215,0.16258991,0.15883507,0.15160303,0.14486144,0.14829099,0.17172074,0.21838658,0.27919665,0.33717492,0.37547746,0.3853023,0.36646056,0.32533398,0.2728983,0.22204478,0.18357337,0.16383696,0.16717112,0.20284945,0.28063485,0.40251574,0.5468814,0.6794482,0.76558083,0.7927932,0.762949,0.68886876,0.5845837,0.47177842,0.3743647,0.31000987,0.28043333,0.27379492,0.27518967,0.2742698,0.26859972,0.2608956,0.25666955,0.2590287,0.26605666,0.2716614,0.27006757,0.26115352,0.2483985,0.2381174,0.23288167,0.2347545,0.24099644,0.25032988,0.25916892,0.2677038,0.27452204,0.28001395,0.282221,0.2806252,0.27384993,0.26191312,0.24556871,0.22846405,0.21569155,0.21161258,0.216489,0.22661245,0.23686945,0.24373274,0.24656056,0.2459305,0.24408668,0.24260253,0.24344558,0.24471764,0.24441212,0.24009682,0.23515946,0.23550124,0.2489745,0.2775638,0.3148524,0.3457456,0.35574564,0.34100986,0.3108869,0.28028092,0.25829816,0.24558985,0.23746437,0.23059444,0.22334963,0.21624148,0.20927085,0.20273654,0.19532716,0.18516813,0.16969113,0.1487454,0.1260663,0.11013189,0.10969741,0.12733606,0.15556222,0.1809284,0.1939059,0.19452159,0.19039792,0.18869449,0.1915139,0.19616278,0.19884239,0.1978304,0.1937323,0.18852113,0.18286335,0.17552797,0.16342266,0.1445918,0.12102627,0.10050452,0.09361932,0.10651662,0.1353578,0.16713469,0.18940824,0.19763939,0.19663937,0.19320796,0.19112433,0.18987489,0.18794066,0.18505032,0.18276958,0.18366218,0.18869863,0.1952787,0.19719362,0.190262,0.17750536,0.1687194,0.17177534,0.18506323,0.19969247,0.2077791,0.20969737,0.21038611,0.21491027,0.22253565,0.22984274,0.2323358,0.22971512,0.22511311,0.2235924,0.22793601,0.2372324,0.24801533,0.25636438,0.26013455,0.25968578,0.25739738,0.2555646,0.25410184,0.25102085,0.24434693,0.2347259,0.2246319,0.21654844,0.21109553,0.20687957,0.20204292,0.19485992,0.18559879,0.17618008,0.17090221,0.17441635,0.18887086,0.21190488,0.23539536,0.25149044,0.255249,0.24974191,0.2407571,0.23439367,0.23229194,0.23270385,0.23224789,0.22754556,0.21779995,0.20441304,0.19082771,0.17950968,0.17206949,0.17146157,0.1831661,0.21133508,0.25201595,0.29277658,0.32050994,0.33033445,0.32687047,0.31789717,0.3088961,0.3015935,0.2957145,0.28942797,0.27988282,0.26484814,0.24521421,0.22533576,0.21099986,0.20673901,0.21480261,0.23317532,0.2553226,0.27158082,0.2756563,0.26806366,0.25491115,0.24288869,0.23627907,0.23770691,0.2473507,0.26211175,0.2747754,0.27781132,0.2679198,0.24803996,0.22595482,0.2097301,0.20490508,0.21124417,0.22462635,0.23891199,0.25147772,0.2617968,0.27058542,0.27560762,0.27458987,0.26656333,0.25376073,0.23960342,0.22671844,0.21631964,0.20759408,0.1996095,0.19140182,0.1838762,0.17869222,0.18038832,0.19686894,0.24024408,0.31880262,0.4283516,0.5476795,0.6479886,0.7059918,0.710738,0.6641989,0.578755,0.47828755,0.38904575,0.32920873,0.29916105,0.28782544,0.28314808,0.27994135,0.27876168,0.28160986,0.2894138,0.3013734,0.31521347,0.32749292,0.33469844,0.3353002,0.33067203,0.32444647,0.31963742,0.31672838,0.31347072,0.30749154,0.2987549,0.29064977,0.28774774,0.29265285,0.30310532,0.31364515,0.319286,0.32021907,0.3203281,0.3233213,0.3280847,0.3310189,0.3299746,0.32703003,0.3253521,0.32551733,0.324735,0.32013395,0.31202042,0.30447504,0.30200577,0.30669177,0.3158747,0.32553658,0.3323493,0.33758143,0.34419286,0.35533836,0.3692744,0.38019386,0.38070223,0.36847854,0.34870294,0.32983458,0.31688467,0.30822676,0.30083266,0.29431155,0.29132998,0.292374,0.29482797,0.2950175,0.29244372,0.28932488,0.288484,0.29085627,0.295407,0.2999805,0.30209613,0.3002363,0.29429975,0.2858108,0.27639166,0.26686502,0.25693452,0.24646585,0.23648256,0.22965069,0.22874527,0.23496796,0.24611895,0.2578543,0.26599297,0.26947927,0.27011523,0.27032554,0.27097717,0.27110258,0.27040386,0.27150834,0.28203592,0.31120527,0.36291334,0.42673656,0.4786714,0.4927795,0.45926246,0.39182174,0.31943297,0.26729175,0.24433762,0.24293022,0.25138557,0.26434565,0.28922382,0.33703247,0.41371104,0.50893235,0.60185313,0.66711116,0.68619126,0.6505863,0.56602687,0.45216322,0.33760357,0.24846852,0.19775867,0.18158585,0.18597399,0.19549425,0.20141733,0.20140438,0.19788428,0.19360828,0.19115442,0.19235848,0.19864719,0.20944487,0.22173418,0.23119964,0.23583262,0.2368154,0.23736282,0.23853688,0.23923187,0.23725028,0.2327689,0.22772153,0.22482656,0.22519343,0.22810332,0.23138195,0.23254001,0.23027772,0.22464508,0.21684891,0.20729615,0.19536258,0.17970176,0.16038421,0.13985856,0.12247319,0.11213104,0.11012355,0.11480347,0.12316831,0.13258433,0.14123467,0.14725049,0.14990455,0.151798,0.161334,0.18634228,0.22673778,0.2689382,0.29651633,0.30085814,0.28759873,0.26753366,0.24891163,0.23347546,0.22035795,0.20834261,0.1983004,0.19247408,0.19383578,0.20168442,0.21113043,0.21447124,0.20698273,0.1890183,0.16674781,0.14916831,0.14354217,0.14933452,0.15695252,0.15447494,0.13784243,0.114648364,0.09861364,0.099779986,0.118906975,0.14818555,0.17712379,0.19882171,0.21213691,0.21959935,0.223189,0.22370677,0.2209667,0.2151934,0.20586725,0.19355357,0.18050872,0.1720835,0.17162085,0.17856383,0.18685937,0.19188629,0.19199009,0.18975282,0.18687858,0.18461156,0.18362407,0.18515576,0.18817817,0.19001459,0.1911978,0.20303641,0.24399723,0.32586548,0.43822098,0.55194134,0.6354874,0.67094994,0.6538487,0.5885398,0.48662916,0.37063774,0.26811376,0.20048463,0.17206366,0.17326768,0.18904322,0.2087849,0.22691137,0.24084191,0.2472626,0.24417575,0.2327203,0.21891475,0.20957862,0.20889236,0.21510209,0.22315697,0.228203,0.22939114,0.22830047,0.22612119,0.22214071,0.2163974,0.21171616,0.2116884,0.21699739,0.22423871,0.22940266,0.23007943,0.22583787,0.2170977,0.20672591,0.20037526,0.20352276,0.2164346,0.23284656,0.24428762,0.24480815,0.2330992,0.21134447,0.18551646,0.16483553,0.15946907,0.17387694,0.2030824,0.23473032,0.2589701,0.27494362,0.28941393,0.3065234,0.3223592,0.32741418,0.3167307,0.2929434,0.26494643,0.2397276,0.22152935,0.20944823,0.20100267,0.19108929,0.17684782,0.1580592,0.13914962,0.12446001,0.116726846,0.11528429,0.118582256,0.124625415,0.1312682,0.13591278,0.13604659,0.13147934,0.12544502,0.12546909,0.13861336,0.1664887,0.20064501,0.22726612,0.23471953,0.22125448,0.19482942,0.16878545,0.1549053,0.15803254,0.17377086,0.19187792,0.20299105,0.20428075,0.19932435,0.19576193,0.20378669,0.23508418,0.29758993,0.38500464,0.47298053,0.5273686,0.5251069,0.46792388,0.3805829,0.29437026,0.23058717,0.19491906,0.18152879,0.18384534,0.20240301,0.24546678,0.31988522,0.4199582,0.52601105,0.612344,0.6582809,0.6516292,0.59123105,0.4887574,0.36983737,0.264295,0.1922645,0.15604872,0.14471693,0.14573167,0.15212764,0.16377474,0.18215382,0.20640212,0.2324255,0.25795063,0.2879156,0.33179688,0.39380586,0.4635377,0.51866794,0.5373171,0.50942093,0.44281563,0.3580886,0.2814001,0.2300474,0.2068864,0.2005294,0.19773638,0.19156797,0.18347512,0.17704768,0.17288823,0.16763933,0.15787353,0.1456526,0.14306353,0.16948557,0.24015665,0.34923795,0.4650551,0.54323345,0.5528636,0.49264634,0.38800812,0.2741681,0.17883761,0.11459097,0.07979153,0.06776806,0.07511247,0.10401238,0.15393548,0.21363278,0.2624989,0.2844364,0.2779913,0.25567684,0.23131733,0.21209896,0.19643998,0.18045445,0.16149777,0.14237137,0.12822744,0.12531441,0.13504368,0.15496607,0.17737307,0.19458504,0.20099108,0.197401,0.1892227,0.18277252,0.18079706,0.18184067,0.18345134,0.18445724,0.18501031,0.184792,0.18283021,0.17833489,0.171318,0.16231446,0.15345927,0.1486005,0.15276134,0.16715942,0.18781227,0.20595272,0.21474062,0.2118961,0.20046557,0.18411563,0.16481112,0.14237416,0.11713877,0.09176924,0.070333816,0.056070495,0.049124118,0.04735525,0.04754672,0.0475394,0.046355188,0.04480927,0.047181968,0.06428406,0.114379846,0.21242769,0.35615435,0.5163813,0.6518123,0.7290743,0.738338,0.68805677,0.59717,0.48915508,0.38857833,0.31373763,0.2700809,0.25188634,0.25035238,0.25930348,0.27476412,0.2913667,0.30299702,0.30643472,0.3042202,0.30203605,0.3033985,0.30738828,0.3104031,0.31075886,0.3087418,0.3060839,0.30248484,0.2977967,0.29235077,0.28962815,0.29240662,0.3009263,0.31025922,0.31510034,0.31323394,0.30835465,0.3048919,0.30454412,0.30416906,0.30135223,0.29662466,0.29425633,0.29680994,0.30367962,0.3108151,0.31478634,0.31448874,0.31199396,0.30995297,0.30986646,0.31069592,0.311041,0.31023848,0.31019065,0.31405592,0.32540333,0.3441213,0.36456123,0.37667835,0.37327942,0.35541642,0.3312621,0.30955112,0.29451677,0.2867718,0.28516304,0.2881135,0.29261294,0.29596156,0.29655448,0.29511598,0.29262447,0.29028377,0.28853598,0.2880895,0.28928283,0.29237998,0.29679307,0.30106202,0.30281284,0.30024755,0.29297727,0.28289402,0.27270946,0.26475704,0.25934246,0.2552473,0.25122538,0.24739575,0.24513781,0.2455468,0.24867737,0.2537626,0.25978926,0.26533422,0.26838672,0.26788554,0.26599324,0.26947284,0.2863518,0.320371,0.36515534,0.40524498,0.4232904,0.4108708,0.37404168,0.3288453,0.2911565,0.26808998,0.25860307,0.2592783,0.27038553,0.2974402,0.34621906,0.41712308,0.5001206,0.57836056,0.6328165,0.64834017,0.6162753,0.53897816,0.43291876,0.32586142,0.24524213,0.20456369,0.19842656,0.2093098,0.22130682,0.22773242,0.23154348,0.23671626,0.24398999,0.2483872,0.24484389,0.23140812,0.21256848,0.1958158,0.18812358,0.19157642,0.2035454,0.21764462,0.22705644,0.22675125,0.21620226,0.19886863,0.1806974,0.16702992,0.16182597,0.1670317,0.18248378,0.20419104,0.22511315,0.23777437,0.23933989,0.2324452,0.22354488,0.2178226,0.21738978,0.2206223,0.22510393,0.22913362,0.23286319,0.23635209,0.23903953,0.23979579,0.23914957,0.23818548,0.23845147,0.24037232,0.24695015,0.26040474,0.2799718,0.2955948,0.2963693,0.2780408,0.2501412,0.22657783,0.21712478,0.22128157,0.23305506,0.24473841,0.25140938,0.25276732,0.25574875,0.2731276,0.315256,0.3817505,0.45593086,0.51416856,0.5354726,0.51385784,0.456858,0.38263407,0.31000733,0.25343627,0.2185068,0.20328659,0.20089036,0.20399572,0.20690024,0.20671092,0.20276137,0.1965826,0.1902079,0.1845299,0.17818384,0.16942865,0.15757126,0.14367564,0.12910728,0.11701716,0.11376927,0.1306286,0.1769198,0.25277424,0.34168115,0.41861355,0.45988706,0.45595977,0.40957245,0.3342569,0.24785717,0.17124788,0.12108333,0.10642653,0.12649405,0.17778534,0.256805,0.36056027,0.47796455,0.5900567,0.67324495,0.71031123,0.6930694,0.625727,0.523339,0.41046572,0.31114498,0.24013792,0.19924462,0.18345611,0.18592387,0.19942047,0.21494223,0.22463019,0.22617008,0.22396748,0.22470981,0.23124222,0.24139594,0.25010672,0.25414574,0.25227025,0.24571867,0.23526447,0.2230947,0.21103334,0.20288342,0.20012818,0.20366181,0.21014903,0.21617047,0.21653755,0.2094829,0.19605382,0.18271099,0.17690033,0.18391158,0.20223844,0.2248929,0.24307208,0.25221974,0.2531601,0.25111884,0.2503802,0.25341353,0.25864628,0.26371455,0.26435646,0.25815654,0.24363793,0.22425878,0.20692219,0.20237763,0.21780533,0.2513334,0.28875944,0.3117917,0.31000158,0.28715333,0.25710103,0.23301645,0.22148333,0.22077318,0.22434033,0.22387479,0.21381551,0.19385712,0.16885366,0.14537801,0.12835045,0.12022539,0.12238429,0.13507093,0.15523072,0.17533542,0.1870298,0.18705405,0.17893541,0.16934459,0.16274041,0.16094619,0.16492264,0.17647415,0.19586737,0.2202834,0.24374866,0.26127896,0.27004763,0.26966318,0.25862285,0.23607112,0.20329344,0.16637444,0.13395324,0.115143634,0.119554736,0.15610771,0.22954519,0.3308288,0.4347016,0.5062482,0.5188835,0.46918952,0.3790855,0.2848797,0.218028,0.19277835,0.20248555,0.23135877,0.2680703,0.31466854,0.37952307,0.46419397,0.5557657,0.6314631,0.67059237,0.6609285,0.6033949,0.5105037,0.40632412,0.31573305,0.2547855,0.2225433,0.20728713,0.19596672,0.18310674,0.16896158,0.15568452,0.14346229,0.1350588,0.1391871,0.17083341,0.24048138,0.34322867,0.45528936,0.54420656,0.58501357,0.5694985,0.50823796,0.4223564,0.33606568,0.26506743,0.21436119,0.17940651,0.15557306,0.14154477,0.14022006,0.15219133,0.17338496,0.19371802,0.20504278,0.20555814,0.20522805,0.22024782,0.2661895,0.3446276,0.4366641,0.50866437,0.53058976,0.49631345,0.42402172,0.34408584,0.27807164,0.23432668,0.20995705,0.20106657,0.20575088,0.22521462,0.2604664,0.30883297,0.3619974,0.4061354,0.42736325,0.41684806,0.3774986,0.3215897,0.26589322,0.22137332,0.1916899,0.17477848,0.168676,0.17243068,0.1851856,0.2042879,0.22517687,0.24296749,0.2549394,0.26173058,0.26613835,0.2694243,0.2699731,0.26456442,0.25221235,0.23457323,0.21452302,0.1937244,0.17389154,0.15792431,0.15054081,0.15479963,0.16991137,0.18977052,0.20673604,0.21535593,0.21574779,0.2119155,0.20859252,0.20837809,0.21140367,0.21681058,0.22339372,0.22984125,0.23269145,0.22714464,0.20935376,0.1818958,0.15384509,0.13652153,0.13553607,0.14830929,0.16664118,0.18318485,0.1942736,0.20031206,0.20274639,0.20418935,0.2071771,0.21495594,0.22784483,0.24330015,0.25544885,0.2599812,0.25671127,0.25039256,0.24791747,0.25241774,0.26248917,0.2713995,0.27423826,0.2695148,0.2618586,0.25769636,0.26142898,0.27202022,0.28312168,0.28795436,0.28394052,0.27424815,0.263751,0.25469372,0.24525623,0.23307489,0.21755974,0.20269275,0.19495058,0.20070364,0.22044154,0.24593072,0.26466468,0.26691982,0.2528573,0.22946005,0.20578204,0.18720227,0.17532331,0.16949035,0.16876924,0.17239945,0.17943285,0.18813252,0.19642645,0.20232992,0.20443058,0.20213641,0.19610243,0.18912923,0.1862313,0.19212861,0.2081104,0.22884275,0.24671759,0.25664508,0.2613285,0.26675257,0.27684012,0.28922585,0.2978728,0.29737556,0.28572503,0.26465288,0.23844571,0.21268201,0.19340973,0.18644178,0.19551416,0.21959393,0.25075695,0.27819908,0.29396084,0.29770815,0.29385066,0.28590688,0.2742974,0.25752646,0.23695795,0.21608801,0.19939141,0.18909092,0.1852386,0.18760006,0.19625057,0.21175928,0.23191626,0.25140846,0.26308826,0.26283237,0.25200635,0.23627968,0.22109175,0.2091528,0.20017625,0.1935296,0.1888028,0.18704128,0.18971336,0.19875206,0.21419477,0.23386519,0.25331196,0.26896438,0.27898076,0.28400514,0.28496292,0.28283584,0.27773026,0.26958224,0.25904495,0.24780011,0.2390448,0.23399067,0.23315148,0.2351863,0.24176164,0.25297675,0.26691294,0.27623835,0.27531445,0.26369578,0.24738659,0.23369099,0.22663079,0.22601825,0.22731866,0.22477861,0.21371132,0.19415581,0.16987829,0.14610977,0.12693082,0.115804784,0.11601248,0.13021444,0.1578583,0.19431351,0.23187964,0.2636702,0.28648376,0.3010466,0.30979756,0.31492925,0.31826767,0.32045224,0.31956354,0.31096074,0.2920802,0.2669556,0.24546407,0.23508823,0.23455483,0.2349035,0.22684719,0.20733352,0.18043607,0.15552622,0.14210643,0.145572,0.16313912,0.18598336,0.2045731,0.21388625,0.21378495,0.2057134,0.19145928,0.17385764,0.15937693,0.15571661,0.1678242,0.19327463,0.22442158,0.25284126,0.27372506,0.28462505,0.28372636,0.2691972,0.24238534,0.20900483,0.17836942,0.15803985,0.15094225,0.15460324,0.16597472,0.183803,0.2084163,0.238133,0.2681342,0.2929171,0.30908707,0.31686294,0.31824052,0.3148066,0.3061103,0.29043698,0.2687299,0.24586238,0.22905238,0.22073169,0.21696933,0.21002449,0.19576187,0.1759017,0.15554316,0.13903677,0.12867211,0.1269753,0.13740985,0.16115718,0.19339533,0.22267355,0.2382826,0.23563433,0.21939649,0.19805157,0.18050684,0.17283286,0.17860371,0.19652022,0.21933769,0.23524427,0.23515745,0.21945041,0.19885193,0.1866457,0.1891759,0.20237255,0.21718682,0.22731797,0.2333922,0.23952132,0.24893999,0.26000634,0.26856863,0.2706089,0.2657348,0.25583306,0.24464129,0.2368993,0.23852529,0.25225854,0.27429017,0.2948241,0.3060349,0.30704892,0.3037463,0.30163744,0.30276203,0.30487624,0.30538464,0.30204108,0.29413304,0.28063428,0.26221877,0.24126834,0.22460379,0.21728979,0.2204011,0.22544552,0.2242776,0.21270056,0.19718665,0.18452175,0.17953879,0.18101846,0.18925232,0.20405914,0.22459215,0.24465244,0.25788283,0.259173,0.2478019,0.22423162,0.19276448,0.16088812,0.13907045,0.13352883,0.14312416,0.15951967,0.1744373,0.18516523,0.1946104,0.2066725,0.22057666,0.23322964,0.24198025,0.24879105,0.25577655,0.26325473,0.2676177,0.26555058,0.255251,0.23818831,0.21713589,0.19635014,0.17847611,0.16513656,0.15759619,0.16145003,0.18280654,0.22082819,0.26147565,0.28652975,0.28827068,0.27516913,0.26208338,0.25602746,0.25369623,0.24711645,0.2331206,0.21495885,0.20134588,0.1991517,0.20887713,0.22296177,0.23258358,0.23377256,0.22911336,0.22198541,0.21159202,0.19394346,0.1683687,0.14279953,0.13021342,0.13889696,0.16443063,0.19235139,0.20935029,0.21249817,0.2094224,0.20961845,0.21634279,0.22427322,0.22503708,0.21459462,0.1970294,0.18047826,0.17077838,0.16777933,0.16840334,0.17014442,0.17323558,0.17915483,0.19014001,0.20720065,0.23000781,0.25501087,0.27807733,0.29446936,0.30223,0.3008214,0.29332605,0.2837778,0.27585328,0.26896027,0.2581998,0.2380528,0.2068888,0.17010033,0.13602075,0.11187887,0.09960783,0.09769228,0.10289353,0.11240109,0.1237965,0.13529132,0.14548288,0.15340418,0.157851,0.15750055,0.15155035,0.14200741,0.13511652,0.13885571,0.15747888,0.18604876,0.21314858,0.22694266,0.22280495,0.20433567,0.18209064,0.16926056,0.17446168,0.1966937,0.22334242,0.24045223,0.23880543,0.2208537,0.19489951,0.17422485,0.16802545,0.17876928,0.19697309,0.20914944,0.20588727,0.19020392,0.17415391,0.17021076,0.18247862,0.20494902,0.22717948,0.24086566,0.24321361,0.23598109,0.22351925,0.21181178,0.20579268,0.2072901,0.21288739,0.21743114,0.21705075,0.21208487,0.20485765,0.19802178,0.19295645,0.19045503,0.19117166,0.19578604,0.20457949,0.21647382,0.2290708,0.23964131,0.24750502,0.25443494,0.2629821,0.27284324,0.28059134,0.28215954,0.27721265,0.2690022,0.2619621,0.25784793,0.2553764,0.25100407,0.24100257,0.22343458,0.19984506,0.17602824,0.15951051,0.1562125,0.1657366,0.18125491,0.19160359,0.18874359,0.1711369,0.1455812,0.12250144,0.11363394,0.12741847,0.16518529,0.21791601,0.26832032,0.30156925,0.31248066,0.30849716,0.29965982,0.29335997,0.29045698,0.2909675,0.29426542,0.3004409,0.3069185,0.31115112,0.31098533,0.30699572,0.30130517,0.29654512,0.2946907,0.29551575,0.2974755,0.29861507,0.29845455,0.2978513,0.29836676,0.30049253,0.30326095,0.3033053,0.29746637,0.285243,0.27084807,0.26142606,0.2606885,0.26694927,0.27314612,0.2741321,0.26930544,0.26201287,0.25625077,0.25273803,0.25106987,0.24918593,0.24706568,0.24447227,0.24171287,0.23751032,0.23089987,0.22190642,0.21237545,0.20472698,0.19996262,0.198287,0.19915687,0.20488586,0.21779577,0.23948045,0.2652572,0.28768608,0.2996794,0.3008237,0.2962279,0.29344904,0.29692313,0.3058869,0.3139716,0.31380972,0.30105516,0.27872565,0.2549271,0.23923464,0.23686008,0.24578297,0.2577939,0.26286098,0.2565927,0.24208456,0.22850223,0.22392659,0.23182833,0.24899553,0.26810715,0.2806891,0.28239354,0.27449155,0.26308462,0.25324598,0.2468438,0.2426423,0.23994093,0.2399605,0.24466074,0.2544592,0.26733086,0.27961907,0.28897402,0.2941822,0.29620215,0.29505742,0.29082057,0.2819232,0.2676715,0.24864684,0.22847761,0.21157877,0.20142291,0.19844818,0.20242083,0.21289091,0.22917606,0.24682921,0.25855258,0.25832328,0.24641402,0.22898223,0.21275605,0.20083348,0.19247694,0.185995,0.18115336,0.18059699,0.1896493,0.2127217,0.24782646,0.2846565,0.3105415,0.31944692,0.3148333,0.30475506,0.29438272,0.2846196,0.2739117,0.26205584,0.24997129,0.23934384,0.23110382,0.22562812,0.2229305,0.22218788,0.2209875,0.21532576,0.20179069,0.1805488,0.15591227,0.13460861,0.12174148,0.11884037,0.1236799,0.13249844,0.14233749,0.15201133,0.1614999,0.17021407,0.1762919,0.17775697,0.1740774,0.16708936,0.15927298,0.1522982,0.14605628,0.14091854,0.13955827,0.14767696,0.16898958,0.20054652,0.2307955,0.24749923,0.24574552,0.23170562,0.21551834,0.20407392,0.19732457,0.19195838,0.18457203,0.17421632,0.16278608,0.15617917,0.16259964,0.18747218,0.22722037,0.26888335,0.29789448,0.3081911,0.3052844,0.29966083,0.2963661,0.29132017,0.27572048,0.24601613,0.20758916,0.1723615,0.14946271,0.14090843,0.14179349,0.14655459,0.15312685,0.16309471,0.17839982,0.19607963,0.209769,0.21320343,0.20880187,0.2048734,0.20889391,0.21807365,0.2221715,0.21390659,0.19507533,0.17456204,0.1582649,0.14709173,0.1387036,0.13439803,0.13915467,0.15853588,0.19100069,0.22720139,0.25444672,0.26766795,0.2701585,0.26861665,0.2636291,0.25198615,0.23274978,0.2125134,0.20069182,0.2020392,0.21266286,0.22268553,0.22331585,0.21171665,0.19220614,0.17228585,0.15843873,0.1544682,0.1620509,0.18212591,0.21311402,0.24989526,0.28450823,0.30965373,0.32339978,0.3280231,0.3294876,0.33101657,0.33527705,0.34076074,0.34581745,0.345535,0.33781537,0.3236133,0.3091185,0.29935774,0.2953527,0.29373118,0.29138517,0.28857303,0.2876564,0.29018712,0.2934433,0.2929736,0.28520384,0.27214757,0.25848517,0.24964434,0.24595661,0.24559231,0.2441278,0.24099998,0.23620905,0.23300572,0.23170017,0.23268151,0.2330425,0.2318428,0.22873181,0.22737251,0.23060186,0.23980375,0.25050986,0.25675586,0.25277105,0.2400074,0.22533359,0.21941525,0.22652797,0.24260731,0.25655437,0.26094148,0.25605693,0.24892794,0.24604559,0.2493331,0.25625992,0.26274052,0.26596725,0.2648178,0.25976658,0.2526661,0.24752264,0.24863084,0.2572885,0.26823607,0.27252388,0.26252437,0.23851877,0.20773609,0.1816407,0.16899544,0.17289178,0.18884219,0.20809364,0.22261178,0.2295072,0.23146357,0.23243679,0.23411052,0.23496008,0.2331956,0.22811173,0.21981733,0.20866607,0.19626807,0.18678087,0.18419664,0.18962836,0.1991713,0.20802046,0.21279998,0.21416248,0.21418375,0.2164194,0.22398736,0.2389519,0.25867748,0.27596152,0.2824649,0.27624878,0.26344368,0.2552407,0.2584099,0.27211297,0.28763142,0.29618776,0.29385045,0.2838281,0.27245846,0.26351407,0.2567838,0.24930759,0.23976429,0.2286656,0.21811008,0.21059518,0.20922188,0.21732251,0.23508693,0.25849167,0.27925125,0.2914265,0.2933149,0.28959098,0.285406,0.2846762,0.28633347,0.28717583,0.28282413,0.2708342,0.25113067,0.22709107,0.20525901,0.19222331,0.19088554,0.19806506,0.20829494,0.21737273,0.22414106,0.22784694,0.22809982,0.22632575,0.22705895,0.23468618,0.2494334,0.2666485,0.2802293,0.28657058,0.2855809,0.2794294,0.2709733,0.26306924,0.25827602,0.2580816,0.26163378,0.26582527,0.2666783,0.26177567,0.25096157,0.23510341,0.2157281,0.19425696,0.17403515,0.15768178,0.14741464,0.14270133,0.14437693,0.15472113,0.1771187,0.21061552,0.24951912,0.28634477,0.31748557,0.34217,0.36079714,0.37184057,0.37535873,0.37196386,0.36405456,0.3527644,0.34072578,0.33012322,0.32350627,0.3195524,0.31566092,0.3074483,0.2940106,0.27612758,0.25817198,0.24377026,0.23651804,0.23693413,0.24381201,0.2537248,0.26416254,0.27436355,0.28633848,0.30159116,0.3208774,0.34194946,0.36299708,0.38053307,0.39295396,0.398463,0.3991113,0.3972186,0.39609727,0.39693296,0.4010298,0.40786067,0.41530874,0.41946042,0.41832864,0.41290483,0.4057488,0.39836445,0.39074564,0.3825531,0.37330636,0.3625326,0.35044053,0.3376371,0.3262876,0.31999466,0.3292645,0.36625314,0.43899944,0.5364894,0.6337214,0.6995247,0.7147505,0.67546064,0.5952761,0.4980485,0.41089407,0.35226998,0.32688555,0.32657647,0.33848307,0.3513278,0.35879478,0.36044097,0.35904956,0.35908556,0.36140466,0.36521634,0.3678236,0.36958504,0.3713787,0.37443444,0.37756526,0.3793641,0.3794701,0.37887084,0.37832215,0.37680253,0.37308255,0.36727664,0.36138555,0.35768497,0.3568195,0.35838452,0.36087266,0.36363313,0.3659055,0.36801192,0.3699263,0.3720559,0.3741552,0.37574235,0.37611115,0.37538722,0.37492776,0.37628493,0.3797414,0.3837426,0.38633716,0.3864747,0.38476065,0.38255486,0.38206163,0.3849298,0.39088383,0.3954924,0.39213598,0.37697986,0.35318685,0.32940605,0.31390455,0.30958137,0.31395593,0.32155278,0.3281952,0.3321264,0.33541012,0.34058592,0.349461,0.36008263,0.3694489,0.37430927,0.3750318,0.37344885,0.37284577,0.3731843,0.37333062,0.37068835,0.36643362,0.36266768,0.36210588,0.36354843,0.36469308,0.3631225,0.35954368,0.35605153,0.35530412,0.3578327,0.36246777,0.36660895,0.36883155,0.36910212,0.36900166,0.36950347,0.37145326,0.37650204,0.38920486,0.4148811,0.4536816,0.49801174,0.53354853,0.5493569,0.5396624,0.5084539,0.46305272,0.41585365,0.37630084,0.3512605,0.34080458,0.34520683,0.36643398,0.41160956,0.48485723,0.58126134,0.67984754,0.7497943,0.76250976,0.70773435,0.60097384,0.4767059,0.37135372,0.30546284,0.27923492,0.28000882,0.29313466,0.30876112,0.32114664,0.32908204,0.33322814,0.3355764,0.33685258,0.33679688,0.33619407,0.33622205,0.33852258,0.3418375,0.34467992,0.34613362,0.34768257,0.35110638,0.35584486,0.3602272,0.3618493,0.36089137,0.3576645,0.35341585,0.3486149,0.34393772,0.3398089,0.3362774,0.33398202,0.33354726,0.3358505,0.340716,0.3474753,0.35508895,0.3620485,0.36660776,0.36720383,0.36397734,0.35877678,0.35373795,0.35008863,0.34709084,0.34418085,0.34120032,0.34036335,0.3442506,0.35424268,0.36713433,0.37567198,0.37325191,0.3590019,0.338995,0.32076028,0.30854246,0.30193844,0.2989965,0.29871103,0.30107892,0.30746076,0.32131347,0.35034886,0.40218922,0.47707024,0.56045645,0.6271849,0.65383625,0.6316049,0.56996906,0.49039015,0.41599205,0.3626541,0.33469355,0.32687655,0.32934782,0.33401075,0.33668494,0.33675507,0.33537677,0.33411732,0.33491707,0.33832145,0.34337488,0.34791076,0.35062173,0.3520694,0.35254407,0.35254943,0.35220194,0.3559029,0.36809877,0.39059258,0.4147433,0.42760408,0.4201208,0.3965737,0.3703455,0.3528382,0.34719074,0.34889165,0.35345626,0.3582671,0.3651489,0.38015702,0.41296494,0.47064105,0.5504854,0.6362559,0.7031927,0.72594744,0.69171405,0.60655266,0.49698123,0.39558622,0.32551992,0.29075086,0.28120708,0.28439185,0.29162845,0.29935643,0.3052015,0.30842507,0.30888915,0.30827892,0.3082204,0.31052867,0.31572807,0.32387164,0.33333018,0.34250283,0.3497686,0.35518217,0.3598399,0.3637961,0.36629894,0.36416492,0.3576399,0.3472999,0.3377972,0.33037353,0.32710922,0.3262179,0.3275336,0.32880768,0.33007178,0.33050302,0.33121562,0.33197364,0.33326975,0.334304,0.3349035,0.33459878,0.33350936,0.3325795,0.33224633,0.3338299,0.33588663,0.33843502,0.3390293,0.34013546,0.34306645,0.35225534,0.36475292,0.37535962,0.37451753,0.36047372,0.33737227,0.3158133,0.3026979,0.3007252,0.3069127,0.3176504,0.32871953,0.3380057,0.3444412,0.34923688,0.35392666,0.3590105,0.36349392,0.36420932,0.36044136,0.35232353,0.3443142,0.3381267,0.33548462,0.33377615,0.3321992,0.3295605,0.32768798,0.32786348,0.33126387,0.33615017,0.33966184,0.33902487,0.33439398,0.32810178,0.3230364,0.32092205,0.3214589,0.32399774,0.32629392,0.32778874,0.32856986,0.33494917,0.3564926,0.4021993,0.46916303,0.53764576,0.5801206,0.57632595,0.5284955,0.45638356,0.3865358,0.33680466,0.3124955,0.30790856,0.3147596,0.3298868,0.36077157,0.4181787,0.5050037,0.603949,0.6853955,0.7214458,0.70243746,0.63738674,0.54806846,0.4595953,0.39244422,0.35582098,0.34552887,0.34942165,0.35655573,0.362277,0.36720428,0.3725051,0.37831172,0.38481185,0.39546767,0.41723466,0.4581786,0.5205309,0.5949014,0.6580591,0.6826615,0.6525579,0.57703125,0.48625818,0.41379085,0.37568912,0.36746582,0.37414858,0.38385558,0.39193177,0.3977019,0.4014044,0.40272355,0.40247932,0.40199593,0.4043796,0.41302848,0.4318291,0.45873126,0.48457786,0.4922799,0.47194016,0.42796227,0.38229927,0.35577917,0.35634485,0.37451708,0.3959806,0.41174912,0.42162678,0.43033323,0.4435183,0.46516326,0.4969124,0.5343798,0.5677511,0.58168536,0.56417555,0.5129327,0.44053718,0.36906996,0.31787863,0.29465544,0.29307166,0.30222943,0.31352618,0.3242456,0.33405587,0.34190574,0.34669733,0.34799454,0.34803855,0.34815583,0.34971353,0.3515924,0.35430074,0.35699484,0.36067677,0.36444083,0.3692808,0.37409177,0.37890244,0.3817182,0.3833283,0.3843193,0.3872352,0.39145923,0.39621913,0.39880398,0.3995824,0.3990519,0.4003564,0.40394112,0.4102107,0.4155768,0.41851246,0.41759416,0.41610214,0.41586652,0.4182771,0.4206973,0.42153978,0.41973582,0.41664097,0.41297135,0.4093039,0.4060514,0.4061829,0.41648987,0.44534275,0.49606088,0.56098515,0.6225764,0.6617932,0.66522884,0.6297689,0.5619497,0.4786575,0.4009421,0.3466126,0.321548,0.32008764,0.3304117,0.3420333,0.34955704,0.35284245,0.35431638,0.35601962,0.35791835,0.35902452,0.35909793,0.35966384,0.36243272,0.36768854,0.373813,0.37916803,0.38327917,0.38663268,0.38878724,0.38877118,0.3859944,0.38207373,0.3787674,0.3773345,0.37701058,0.3773502,0.37762663,0.377853,0.37735474,0.3764774,0.3757708,0.3764654,0.3782766,0.38028523,0.38110557,0.38067403,0.37954164,0.37807164,0.37624884,0.37386617,0.3718282,0.37054828,0.3704219,0.37099907,0.3733597,0.37894034,0.38754526,0.39452446,0.39247873,0.37750712,0.35311338,0.32907584,0.3140032,0.31103536,0.3170009,0.32660252,0.3352823,0.34124765,0.3446854,0.34673643,0.34847954,0.35058746,0.3529915,0.35480264,0.35493565,0.3536308,0.35219777,0.35207972,0.35339877,0.3555983,0.35856712,0.36228666,0.36647856,0.36964908,0.37065944,0.36915162,0.36593303,0.36252272,0.35992885,0.35895324,0.35901746,0.36048767,0.36354348,0.3689787,0.3749908,0.37901187,0.3796966,0.38134924,0.39264497,0.42118254,0.46523273,0.5133743,0.5487897,0.5611039,0.5464473,0.51113576,0.46303332,0.4152905,0.37667847,0.3538618,0.3452859,0.3500706,0.36919925,0.40969047,0.47563195,0.56226856,0.650196,0.7125592,0.72479683,0.67776173,0.58308095,0.46977094,0.3705988,0.3061764,0.27884373,0.27779874,0.2894065,0.30372652,0.3151019,0.32231882,0.32655346,0.32999328,0.3333422,0.33580127,0.3374299,0.3384451,0.33961347,0.33958223,0.33819893,0.3366147,0.3378403,0.3435863,0.35248113,0.36168277,0.36787376,0.36997592,0.3675047,0.3618021,0.3547407,0.34900713,0.3457137,0.34378412,0.34106562,0.33724824,0.33434603,0.33521113,0.34018418,0.34804237,0.35593703,0.36241615,0.36588588,0.36688313,0.36607233,0.36515662,0.36403087,0.3621217,0.35858822,0.35439062,0.3517915,0.35358965,0.36067072,0.37026486,0.37578908,0.37132463,0.35584867,0.33513212,0.3167434,0.3054718,0.3007369,0.29931745,0.29861376,0.2984683,0.3019061,0.31453168,0.3449904,0.400198,0.47895274,0.5660071,0.6363391,0.6671316,0.6488197,0.58916825,0.5077686,0.4280248,0.367926,0.33452144,0.32404652,0.32652476,0.33329025,0.33977625,0.3456441,0.35118294,0.35625944,0.36032403,0.36327693,0.36506137,0.36515453,0.36287796,0.35881078,0.3542548,0.35130203,0.3512211,0.35712895,0.3720269,0.39654315,0.42260328,0.43704203,0.43070522,0.40771118,0.3817824,0.3645532,0.35812426,0.3576562,0.3586177,0.3600333,0.3643421,0.37737736,0.4076459,0.4614843,0.536634,0.6175556,0.68125916,0.7040388,0.6745422,0.59756887,0.4966809,0.40144244,0.33458957,0.3017571,0.2944883,0.30075073,0.31094036,0.32143834,0.3294928,0.33513245,0.33743414,0.33873335,0.33974707,0.34298024,0.34758416,0.35427165,0.36067355,0.36667034,0.37024,0.37282893,0.37509784,0.37885845,0.3834033,0.38709676,0.38874865,0.38753787,0.38508034,0.38116476,0.37744832,0.3723198,0.36703587,0.36012152,0.35426864,0.34898946,0.34689847,0.34611273,0.34781906,0.34971228,0.35254252,0.35388044,0.3537508,0.35097933,0.3469651,0.34272432,0.33947217,0.33772823,0.33721817,0.3394464,0.34578454,0.35919204,0.37648332,0.3915278,0.39338323,0.37947357,0.35342073,0.3275456,0.3094978,0.30351508,0.30595163,0.3131596,0.31935012,0.32236204,0.321413,0.31988534,0.32066223,0.32522747,0.33170247,0.3368044,0.33877292,0.33783618,0.3367854,0.33665374,0.33806312,0.33904585,0.3398095,0.33974335,0.34057903,0.34180817,0.34399962,0.34534487,0.34553728,0.34371412,0.3410544,0.33822083,0.33616814,0.33493796,0.3348762,0.33548975,0.33610305,0.3351256,0.3344619,0.33924672,0.36104906,0.40519357,0.46855044,0.52798134,0.5610412,0.55029,0.50387776,0.43837583,0.3772317,0.3321133,0.3078772,0.30020747,0.30479077,0.32115126,0.35618964,0.41760194,0.5044556,0.5996863,0.6771443,0.71309525,0.6983463,0.63910323,0.55417436,0.46810707,0.40257263,0.36732125,0.35764632,0.36060682,0.36576986,0.36903498,0.37181547,0.37519947,0.3795397,0.38430583,0.39199832,0.40867206,0.4428922,0.49883023,0.5695975,0.6338183,0.6640137,0.64152807,0.5719508,0.48303032,0.40880767,0.3677791,0.35769594,0.36383605,0.37353694,0.3808199,0.3847296,0.38517395,0.38260666,0.37856635,0.37578037,0.37755573,0.3870829,0.407828,0.43976638,0.47617722,0.50137043,0.5012097,0.47348845,0.4331905,0.39989015,0.38480154,0.38535348,0.39342752,0.40314424,0.41339532,0.4240267,0.43495977,0.44601226,0.45950136,0.47554564,0.489453,0.48845235,0.46127364,0.4065412,0.3385786,0.27771518,0.23861198,0.22241513,0.22086568,0.2242199,0.22725393,0.22955452,0.232355,0.23560816,0.23718153,0.23495175,0.22852649,0.21987814,0.2115217,0.20571865,0.20334665,0.20444398,0.20742933,0.21050459,0.21220346,0.21314125,0.21529521,0.22081523,0.23015489,0.24160475,0.25257298,0.26124963,0.26729992,0.27184215,0.2760197,0.2810489,0.28640828,0.29122123,0.29426336,0.29666373,0.30054355,0.30811384,0.31848124,0.32862794,0.3342197,0.3332441,0.32560042,0.31361863,0.29942188,0.28534865,0.2723791,0.2604156,0.24700557,0.22893195,0.20423572,0.17487971,0.14615008,0.12367892,0.11000961,0.10391427,0.102345996,0.10282745,0.104299344,0.10645717,0.108817756,0.11046008,0.1105696,0.10907304,0.10682621,0.10492342,0.10392367,0.10351641,0.102951795,0.10184088,0.10025457,0.09865574,0.097102106,0.09560125,0.093950175,0.092464864,0.0913533,0.09104592,0.09145642,0.09256097,0.09391648,0.0954626,0.09701735,0.098641634,0.099968605,0.10073838,0.10088185,0.10079496,0.10097212,0.10151801,0.10232904,0.103075065,0.10383445,0.10480034,0.10643161,0.108806945,0.11164572,0.11444057,0.11700597,0.11952799,0.12210026,0.124355316,0.12585364,0.12658376,0.12724485,0.12844974,0.13061108,0.13369077,0.13778296,0.14230782,0.14602542,0.14708382,0.14497954,0.14101441,0.13791664,0.1375042,0.13978587,0.14307576,0.14551367,0.14605612,0.1448101,0.14246832,0.13978462,0.13718788,0.1352367,0.13455023,0.13574369,0.13866466,0.1423826,0.14569107,0.14784925,0.14901157,0.14979124,0.15068567,0.15176028,0.15267976,0.15316987,0.15312137,0.15275611,0.15255906,0.15291382,0.15412222,0.15604354,0.15857242,0.16140758,0.16435264,0.16720332,0.16997749,0.17290176,0.1761628,0.17965578,0.18278243,0.18477303,0.18508454,0.18391593,0.1819983,0.18018185,0.17856343,0.17669885,0.17403553,0.17107804,0.16911085,0.16931528,0.171076,0.17171411,0.16780107,0.15747447,0.14171845,0.123590745,0.106261335,0.09162559,0.08010986,0.07133191,0.06460371,0.05931749,0.055127766,0.052026186,0.050244037,0.04986093,0.05062489,0.051891815,0.05318733,0.054402143,0.055856198,0.05776532,0.06013294,0.06278194,0.06553709,0.068294376,0.07101265,0.07382559,0.076881945,0.0801447,0.08333216,0.086088575,0.08837825,0.09032171,0.09222087,0.09411311,0.09607789,0.098031394,0.100074194,0.102116704,0.10407878,0.105779625,0.10730192,0.108871125,0.110715866,0.112867005,0.115153246,0.11743096,0.119562745,0.121551275,0.12333009,0.12492105,0.12636499,0.12788492,0.12970255,0.13190596,0.13431709,0.13650917,0.13807428,0.13895668,0.13968849,0.14082663,0.14201531,0.14167269,0.13803217,0.13066405,0.12091149,0.11097462,0.10263985,0.096661724,0.0929215,0.090828426,0.089802235,0.089532904,0.090020955,0.091225706,0.09281639,0.09423005,0.09521157,0.09612546,0.097720355,0.100488685,0.10415584,0.10798784,0.11120605,0.11364451,0.11552835,0.11736385,0.11938467,0.1216225,0.12382442,0.1256979,0.1269397,0.12743412,0.12726764,0.1267119,0.12605484,0.12561534,0.12575038,0.12688406,0.12922604,0.13261902,0.13646902,0.14008762,0.14292692,0.14480196,0.14584124,0.14636157,0.14664394,0.1466968,0.14631473,0.1452666,0.14358912,0.14150351,0.13914312,0.13626494,0.13235478,0.1269552,0.1203037,0.1131608,0.10680743,0.10192145,0.098962806,0.097694874,0.09795701,0.09911343,0.10032167,0.10075751,0.09978665,0.09730369,0.09317664,0.08789069,0.08233053,0.0779208,0.075424016,0.074621804,0.07430405,0.07355201,0.0720304,0.07031878,0.06879485,0.067728125,0.06674323,0.06566474,0.06427291,0.06288168,0.0618497,0.06169824,0.06248601,0.06384796,0.0650838,0.06562642,0.0653451,0.06434957,0.06291711,0.06126967,0.0597591,0.05868064,0.058159526,0.058034655,0.05804525,0.058114484,0.058352154,0.058907825,0.05972384,0.060623586,0.061415464,0.062046926,0.06243503,0.062492043,0.062093083,0.06135859,0.060524765,0.05983342,0.059259992,0.05865327,0.0579682,0.05734917,0.056978267,0.056803662,0.056647792,0.056378912,0.056088906,0.055900022,0.055827018,0.05575647,0.055612516,0.055413757,0.055189665,0.054923426,0.054581877,0.054228593,0.053967524,0.053845495,0.05375712,0.053550992,0.053156152,0.052632343,0.052100737,0.051656917,0.051352065,0.05118251,0.05110711,0.051092207,0.051178172,0.05148506,0.05208111,0.05287471,0.053600397,0.05400461,0.0539892,0.053639684,0.05308539,0.05239768,0.051616963,0.05082738,0.050154373,0.049640294,0.049212005,0.04874629,0.04821631,0.04765995,0.047081556,0.04637231,0.04542075,0.04426946,0.043128,0.042220216,0.041588698,0.041087944,0.040488396,0.039645232,0.0385315,0.037250903,0.03593513,0.034688592,0.033451676,0.031986054,0.029899953,0.02687852,0.022881089,0.018288087,0.013755693,0.009971321,0.00733964,0.0058910386,0.0053345743,0.0052836393,0.005416103,0.0055657644,0.005687073,0.0058008465,0.0059229224,0.0060254172,0.0060345507,0.0058834795,0.005569065,0.0051640305,0.004761107,0.0044155624,0.0041214903,0.003848552,0.0035690397,0.0032780475,0.0029753714,0.0026630787,0.00233593,0.001996572,0.0016601175,0.0013623397,0.0011379442,0.0010024507,0.0009354367,0.0009025631,0.0008767599,0.00085812947,0.00085935625,0.00089117535,0.0009471152,0.0010077368,0.0010481533,0.0010504955,0.0010122705,0.000946033,0.00086944114,0.0007912666,0.00070857274,0.0006152852,0.00051410525,0.000417987,0.00034053775,0.0002855371,0.00024569486,0.00021058066,0.00017534722,0.00014178354,0.0001138438,9.293514E-05,7.8121324E-05,6.798524E-05,6.1544415E-05,5.768823E-05,5.531646E-05,5.414429E-05,5.4452103E-05,5.6143133E-05,5.8294605E-05,6.0180453E-05,6.164394E-05,6.255753E-05,6.1999745E-05,5.8565125E-05,5.195863E-05,4.3797143E-05,3.7703365E-05,3.6082805E-05,3.8253074E-05,4.0186067E-05]