[0.21628149,0.21444206,0.21002121,0.2037642,0.19733272,0.19222784,0.18928301,0.18861353,0.19054586,0.19560371,0.20378637,0.21359187,0.22191824,0.22727321,0.23306876,0.24895096,0.28293088,0.33199766,0.37754095,0.39631227,0.3765906,0.32699665,0.2682709,0.21795242,0.18219532,0.15974148,0.15008853,0.15535365,0.17600386,0.20597005,0.2345161,0.25129625,0.25160584,0.23659103,0.21160585,0.18337776,0.15795286,0.13880076,0.12632288,0.11875979,0.11524885,0.11796701,0.1330967,0.16517371,0.21104379,0.25552082,0.27935514,0.27029318,0.2319014,0.17950468,0.13050097,0.09577552,0.07826227,0.076922715,0.08960443,0.113450855,0.14222361,0.1673485,0.18126859,0.18201269,0.17288192,0.15885748,0.1429,0.12546223,0.1069319,0.08901951,0.07431763,0.064392366,0.059760835,0.061468232,0.071725756,0.09204952,0.1197466,0.14749205,0.1664082,0.17122626,0.16259427,0.14562637,0.12621215,0.10841623,0.094014905,0.08318522,0.074764945,0.06669185,0.057011615,0.045493264,0.033820428,0.024222864,0.017770825,0.013979702,0.011725337,0.010184206,0.009047293,0.010133847,0.018457152,0.04307936,0.0880278,0.14576824,0.19317514,0.2088205,0.18558246,0.13838437,0.08842673,0.051535618,0.031461153,0.027068948,0.037549183,0.0628433,0.09986838,0.14000374,0.17259009,0.1898338,0.19115615,0.18252498,0.17336261,0.17126055,0.17806558,0.18959425,0.20003617,0.20672733,0.2128586,0.22563256,0.25440633,0.30295396,0.36441764,0.41870177,0.4455724,0.43772075,0.4062198,0.37019384,0.3434838,0.32992458,0.3254265,0.32457772,0.32313442,0.31996223,0.3154253,0.31026176,0.30467877,0.29928976,0.29562178,0.29531956,0.2980555,0.301221,0.30121455,0.29644632,0.28867725,0.2828271,0.28490958,0.2968688,0.31359926,0.3223778,0.31249842,0.2817331,0.23904622,0.19594301,0.16068889,0.13563335,0.11996836,0.111084156,0.10605505,0.10287752,0.10138809,0.1017571,0.102593355,0.10130283,0.09693214,0.0920088,0.09053581,0.093997695,0.0998039,0.10416026,0.10621748,0.10870564,0.11433485,0.1222291,0.12827016,0.12920757,0.12548997,0.12039103,0.11593288,0.11094653,0.102450095,0.0893921,0.07377865,0.059085757,0.04728766,0.03822009,0.030588055,0.023728011,0.017800694,0.013413597,0.010732159,0.009432554,0.008811058,0.008239575,0.007427273,0.006458921,0.0063478663,0.0105183935,0.025539175,0.058013886,0.105938844,0.15482019,0.18282731,0.17770684,0.14422645,0.10090225,0.0649556,0.04681051,0.05034906,0.07661637,0.12094363,0.17153455,0.21356773,0.23859687,0.24861448,0.2517204,0.25393638,0.2558848,0.25538418,0.25044617,0.24006347,0.22271727,0.19771169,0.16830742,0.14505033,0.1439584,0.17587453,0.2362056,0.30199206,0.34759852,0.35993,0.3453033,0.31857154,0.29241136,0.27242318,0.25894314,0.24910362,0.23850887,0.22388023,0.20576607,0.18769777,0.17350115,0.16426264,0.15894452,0.15595879,0.1542464,0.15275924,0.1499659,0.1449065,0.13915664,0.13776214,0.14795329,0.17262997,0.20536654,0.22927062,0.2285354,0.19874583,0.15154113,0.104695976,0.0726672,0.061664004,0.072172605,0.100694895,0.13997333,0.18017079,0.21240497,0.23240156,0.24114263,0.24253948,0.24065697,0.23689796,0.22993185,0.21660452,0.19563705,0.16876465,0.14066543,0.115797766,0.096545584,0.082529366,0.07174345,0.062238693,0.052817654,0.04354706,0.03499469,0.028129334,0.024296328,0.026258627,0.03887345,0.06606693,0.1066914,0.15060051,0.18424793,0.19848955,0.19655864,0.1900171,0.19083858,0.20243031,0.21994328,0.234953,0.24213761,0.24090727,0.23478241,0.22882764,0.22916378,0.23976927,0.25975952,0.2802877,0.28977224,0.28028882,0.25381854,0.21843232,0.1829315,0.15140727,0.12531815,0.1066994,0.10079377,0.11174592,0.13688214,0.16362125,0.17707469,0.16978653,0.14791922,0.12522586,0.11479128,0.12172314,0.14306675,0.16964392,0.19098793,0.20143491,0.2041771,0.2105308,0.2285856,0.25585905,0.27656737,0.27742437,0.25609735,0.2251298,0.19769968,0.18121155,0.17441428,0.17454849,0.17948754,0.1885472,0.19973958,0.21024115,0.21662933,0.21734561,0.2121129,0.20211743,0.18839224,0.17269821,0.15733202,0.14519931,0.13798808,0.13664973,0.14224827,0.15808718,0.1851935,0.21902312,0.24661613,0.25607553,0.24318218,0.21590078,0.18617602,0.16306466,0.14766252,0.13517918,0.11967078,0.09833131,0.07384331,0.051504627,0.03586696,0.027393969,0.023701318,0.021736363,0.01998165,0.018236967,0.016685324,0.015230187,0.013696839,0.012272972,0.011687752,0.013004464,0.016695237,0.021865385,0.0260661,0.02697952,0.023997895,0.018842692,0.01400255,0.011138058,0.010396606,0.011061397,0.012367081,0.013879207,0.015445019,0.01703573,0.018653167,0.020350924,0.022205742,0.024330497,0.026717411,0.029262846,0.031729486,0.03395237,0.035741705,0.03821447,0.04561675,0.06717354,0.11191928,0.18010001,0.256035,0.31561005,0.34148118,0.3350017,0.3121828,0.29072407,0.27936184,0.27643886,0.27324355,0.2600965,0.23138528,0.19127841,0.15203063,0.1281497,0.12807302,0.15042464,0.1862789,0.22252874,0.2495007,0.26287988,0.265965,0.26325157,0.26013622,0.26175472,0.276487,0.3092368,0.35646638,0.40296736,0.43399933,0.44401315,0.44061407,0.43395662,0.4300649,0.42752194,0.42188644,0.4082097,0.38399622,0.35079333,0.31495747,0.28484812,0.26632217,0.2598534,0.2612333,0.26504037,0.26751855,0.2682141,0.2684563,0.26952338,0.27118695,0.27314207,0.2764902,0.2821889,0.2883604,0.2895198,0.282233,0.26937363,0.25888598,0.2558174,0.25736985,0.25588837,0.246504,0.23098968,0.21478194,0.20125373,0.1904182,0.18142301,0.17533146,0.17426556,0.17887239,0.1885835,0.20269041,0.2217521,0.24497378,0.2684282,0.28499117,0.28798267,0.27618578,0.25488454,0.23280357,0.21455823,0.19919364,0.1841365,0.17254102,0.17227031,0.18831593,0.21598108,0.24336219,0.26021862,0.26447377,0.26091155,0.25530234,0.24946941,0.24292211,0.23618978,0.23378606,0.23984627,0.25471887,0.27213275,0.2828584,0.27766672,0.25353816,0.21727349,0.18637486,0.17675485,0.19062977,0.210204,0.21383315,0.19154654,0.15422069,0.12103697,0.10711962,0.11562622,0.14097674,0.17378885,0.20459549,0.22696193,0.23844932,0.24013865,0.23414074,0.22263545,0.20995133,0.20226061,0.20529704,0.21859552,0.23660038,0.25218415,0.26330128,0.2729799,0.28819326,0.31322825,0.34675384,0.37835172,0.39621177,0.3931352,0.3735268,0.34694317,0.32269824,0.30389145,0.29044053,0.2812239,0.27613676,0.27479672,0.27580753,0.27634838,0.27271286,0.26188043,0.24388093,0.22345518,0.20819896,0.2039162,0.21076222,0.2236836,0.23666996,0.2471168,0.25721937,0.27148005,0.29110023,0.31101385,0.3215455,0.31611273,0.29515266,0.26583576,0.23622854,0.21261483,0.19775037,0.19217205,0.19446617,0.20193106,0.20969146,0.21032596,0.19744833,0.17023416,0.13762867,0.1130744,0.10894912,0.1278085,0.16380028,0.2027985,0.23079602,0.23711027,0.2211308,0.18999398,0.15496042,0.12389314,0.09902754,0.07896445,0.062206507,0.04881823,0.039106596,0.032845672,0.029029517,0.026596436,0.024615755,0.02264,0.020724388,0.019293657,0.018570371,0.018436434,0.018544996,0.018589092,0.01828845,0.0173863,0.015863543,0.014063644,0.013574827,0.018557653,0.036544498,0.07417628,0.128986,0.18461227,0.21783207,0.21460044,0.17941636,0.13164556,0.092144884,0.075897284,0.08868637,0.12706701,0.17704289,0.21974774,0.24170977,0.24152072,0.22698252,0.20570199,0.18221645,0.16010053,0.14655507,0.14865206,0.16808574,0.19714248,0.22415686,0.24125421,0.2505708,0.2614596,0.28094146,0.30559233,0.32163078,0.31737474,0.29336235,0.26348338,0.24212003,0.23414099,0.23415346,0.2359695,0.2386623,0.24545611,0.25733685,0.27095652,0.28109047,0.28484038,0.28200996,0.27290606,0.25727254,0.23541778,0.21036966,0.18685012,0.16899659,0.15895598,0.1581553,0.16907214,0.19075817,0.21557589,0.22767925,0.2163191,0.18353362,0.14744197,0.12666154,0.13079862,0.1554566,0.19110791,0.22805782,0.25947416,0.27950767,0.2844065,0.27320042,0.2476903,0.2112729,0.16958725,0.13231893,0.11194887,0.11756154,0.14798349,0.18939424,0.22263364,0.2332195,0.22024237,0.19363856,0.16623871,0.14401872,0.12554044,0.10667165,0.08646425,0.06751961,0.05276416,0.04279155,0.035987347,0.030605694,0.025863854,0.021953097,0.019175008,0.018359391,0.021807654,0.03446367,0.060776997,0.10011803,0.1423948,0.17387019,0.18517937,0.17917155,0.16544455,0.15534788,0.15647237,0.17361732,0.20531027,0.24156232,0.26845917,0.27653167,0.26770887,0.24954434,0.22952251,0.21058385,0.19386755,0.17990322,0.16877834,0.15953964,0.15026446,0.13935857,0.12692274,0.116200484,0.11251879,0.11909386,0.13274921,0.14442377,0.14548409,0.13385075,0.11610217,0.10413138,0.11164823,0.14526375,0.20002453,0.2562884,0.29496524,0.3067268,0.29885653,0.28154615,0.26244858,0.24327518,0.22722097,0.21789934,0.21761136,0.223522,0.23045522,0.23340786,0.23008798,0.22036868,0.20595549,0.18953604,0.17367099,0.16011548,0.14949213,0.14202857,0.1384746,0.14118017,0.1546716,0.1801591,0.21093439,0.22982065,0.22211766,0.18530571,0.13379529,0.08561041,0.052931797,0.037672717,0.037700463,0.05035363,0.0729531,0.100835584,0.12751769,0.14731257,0.15746254,0.15869853,0.15320401,0.14384234,0.13332196,0.124961935,0.12064605,0.12043624,0.12164023,0.12159284,0.1184398,0.112566285,0.10532666,0.098814465,0.09439412,0.09229801,0.09148157,0.09052744,0.0886533,0.08577726,0.08248961,0.07923474,0.0764223,0.07396349,0.07175117,0.069525905,0.06730471,0.06509294,0.06288171,0.060449883,0.057610676,0.05441766,0.05119505,0.048326623,0.04730295,0.051847193,0.068722464,0.10136793,0.14436115,0.17996894,0.19066888,0.17002201,0.12945576,0.08689192,0.056883395,0.04437561,0.048777178,0.065906115,0.08890148,0.10808238,0.11538658,0.108378135,0.09296047,0.08002108,0.08213061,0.10595129,0.15013313,0.20289601,0.25160527,0.28680083,0.30879855,0.3226139,0.3375797,0.36178812,0.39608553,0.4304742,0.4469395,0.43626627,0.4031205,0.36493763,0.33503675,0.31792736,0.30875838,0.30043402,0.2867081,0.26526332,0.23976092,0.21940501,0.2136879,0.22536807,0.24685292,0.26428995,0.26653883,0.25239697,0.23104495,0.21528389,0.213865,0.22772019,0.2512765,0.2771239,0.29684392,0.30360007,0.2925342,0.26816493,0.24148296,0.22539623,0.2221955,0.22591203,0.22633885,0.21838588,0.19998805,0.17410259,0.14756064,0.13324519,0.14093001,0.17085083,0.20929186,0.23974597,0.25145322,0.24620704,0.23115884,0.21396668,0.19752483,0.18375309,0.17538531,0.17766626,0.1930551,0.21796387,0.24216239,0.25654984,0.25803614,0.25127393,0.24240565,0.23617299,0.23394465,0.23590176,0.24100514,0.2474484,0.25285268,0.25517407,0.25330487,0.2464978,0.23392172,0.21528779,0.19225283,0.16870636,0.14838926,0.13242127,0.12026951,0.1134871,0.11880682,0.14236258,0.18251972,0.22486448,0.2520783,0.25400266,0.2338969,0.20131522,0.16680317,0.13977008,0.1304915,0.14486617,0.1792593,0.21813285,0.24469644,0.24918705,0.23497866,0.21236493,0.19357322,0.185188,0.18724404,0.19396187,0.20107396,0.20938267,0.22509134,0.2529138,0.2932466,0.33954516,0.38158718,0.4067044,0.40749073,0.38494933,0.34948543,0.3132715,0.28539017,0.27009174,0.26807308,0.27655837,0.2890713,0.2982137,0.29963782,0.2940153,0.28509882,0.27605256,0.26787236,0.25970325,0.25076696,0.2413313,0.2329499,0.2280411,0.22929446,0.23982401,0.26091835,0.28993598,0.31734064,0.33095536,0.32117054,0.2877465,0.23875152,0.18763076,0.14702094,0.123677455,0.11572939,0.114975214,0.11505989,0.11682064,0.12565802,0.14262043,0.15854229,0.16091,0.14434305,0.11877769,0.102153204,0.10873401,0.13776936,0.17536293,0.20408188,0.21434651,0.20753145,0.19111286,0.1717881,0.15264827,0.13460864,0.11864548,0.10705096,0.10341851,0.11144519,0.13171874,0.15942742,0.18593644,0.2046891,0.21546638,0.22258787,0.2298122,0.2373324,0.24407643,0.24940135,0.25254276,0.2499774,0.23681231,0.21205483,0.18353112,0.16671492,0.17499985,0.20924573,0.25419748,0.28765213,0.29336336,0.26926333,0.22536516,0.17763162,0.14181846,0.12946153,0.14299794,0.17423658,0.20668161,0.22528817,0.22333802,0.20539884,0.18071997,0.15689583,0.13551445,0.114687055,0.09296692,0.07175452,0.053945437,0.043381065,0.046189655,0.07288986,0.13055708,0.21211989,0.2904159,0.33462515,0.33117867,0.29422796,0.25058687,0.22033225,0.20772992,0.2079082,0.21476911,0.22360308,0.22960268,0.2285757,0.21932225,0.20540231,0.19405787,0.19389601,0.21054949,0.24299829,0.28150976,0.3129638,0.3277092,0.3261828,0.31637773,0.30987224,0.3130083,0.32514605,0.3370689,0.34030628,0.33084384,0.31290987,0.29154417,0.2704799,0.25030938,0.23203285,0.21620096,0.20257844,0.18953355,0.17639796,0.16390412,0.15372872,0.14645147,0.14148496,0.13766928,0.13427222,0.13131423,0.12887685,0.12696786,0.12747407,0.13633315,0.16399954,0.21413739,0.27728245,0.32803974,0.3471279,0.33144596,0.29913917,0.26854575,0.24990417,0.24113818,0.23774426,0.23591916,0.23422788,0.2320131,0.22931056,0.22678977,0.22583254,0.22833514,0.23601085,0.24892259,0.26480842,0.27962962,0.2899604,0.29502153,0.29771867,0.30317912,0.31454945,0.32894886,0.33682707,0.32862124,0.30191004,0.26420966,0.22667642,0.19797938,0.18141781,0.17826872,0.18745022,0.20505784,0.2222591,0.23125754,0.22927298,0.22075196,0.21140198,0.20386887,0.19698606,0.18888909,0.17956656,0.16979854,0.16004501,0.15112954,0.14771569,0.15996355,0.19693816,0.25618494,0.31767705,0.3553181,0.3546798,0.32365453,0.2827455,0.24972762,0.23037243,0.22229384,0.22068971,0.22203165,0.22392821,0.22524934,0.22592278,0.22601785,0.22551757,0.22412473,0.22241588,0.22090073,0.22010596,0.21957763,0.21898691,0.21859646,0.2211597,0.23194563,0.25519022,0.28796145,0.31742314,0.32837296,0.314455,0.28387418,0.25188372,0.229935,0.21978416,0.21742934,0.21823485,0.22006832,0.22161202,0.22236569,0.22163473,0.22174312,0.22689974,0.24529254,0.27900267,0.32148165,0.35224327,0.3556937,0.3291384,0.2896577,0.25697058,0.24561884,0.26030686,0.29660752,0.341007,0.3717767,0.3749785,0.35183164,0.31976238,0.29448605,0.2826179,0.2818676,0.2893634,0.30370912,0.32156757,0.33674768,0.34243497,0.33883086,0.3340834,0.3412795,0.3640571,0.39241883,0.40504372,0.39035535,0.3532153,0.31396222,0.28930697,0.28589514,0.2983725,0.31805697,0.3356252,0.34501693,0.3430238,0.3310453,0.31482017,0.30452037,0.31241873,0.34356523,0.39023876,0.4305803,0.4461205,0.43250147,0.40466988,0.38181233,0.37775096,0.39384785,0.42146125,0.44532588,0.451666,0.43733406,0.4108791,0.3859338,0.37153706,0.3723639,0.38867435,0.41622543,0.4412057,0.44830132,0.43043935,0.39683506,0.36261043,0.33774948,0.32062963,0.30583224,0.2905004,0.27680814,0.26571587,0.25411633,0.236134,0.21027744,0.18340148,0.16747081,0.17093615,0.19162107,0.21819168,0.23750405,0.24108149,0.22750206,0.20094545,0.17118974,0.15138365,0.15413342,0.18444651,0.2361697,0.2950989,0.34740612,0.3873018,0.41714385,0.44163084,0.4612298,0.47048828,0.46249187,0.4346238,0.39300945,0.34909913,0.3138287,0.2909666,0.27896288,0.27366808,0.2717594,0.26758495,0.25484157,0.22885512,0.19300349,0.1564683,0.13106035,0.12558025,0.1448433,0.18648474,0.23994549,0.28851035,0.31849912,0.32540676,0.31503794,0.29675493,0.2792903,0.26708516,0.2604357,0.25563538,0.24842824,0.23713918,0.22363834,0.21075298,0.1994353,0.18879354,0.17795838,0.1673128,0.15724014,0.14746523,0.13753287,0.12978496,0.129691,0.14560653,0.18118054,0.23123167,0.2782316,0.3046287,0.3023571,0.28025588,0.2539701,0.23649096,0.23145969,0.2360148,0.24487841,0.2528571,0.25578034,0.2506984,0.23632373,0.21342455,0.18464857,0.15525572,0.13182165,0.12118181,0.12597458,0.14326136,0.16423099,0.18170387,0.19564341,0.21609491,0.25213218,0.30142546,0.34549737,0.36442065,0.3516135,0.31923684,0.28570023,0.2626011,0.25092086,0.24650866,0.24639244,0.24968553,0.25643203,0.26556918,0.27522913,0.28311983,0.2882317,0.2909793,0.29273388,0.29291818,0.28857395,0.2762089,0.2571167,0.23865895,0.23123972,0.24137063,0.26822448,0.30296004,0.3328638,0.3456489,0.33694124,0.31159842,0.2817328,0.25763515,0.24392633,0.23841275,0.23655343,0.23408258,0.22934197,0.22305255,0.21755545,0.21744907,0.22909324,0.2603751,0.3097663,0.36380482,0.3966267,0.39283082,0.3545557,0.3054391,0.2695515,0.26452217,0.29141447,0.33860183,0.38194004,0.39966166,0.3834224,0.34435615,0.30068895,0.2659586,0.24290068,0.22836001,0.21819694,0.20985197,0.20215207,0.1947487,0.18793482,0.18214083,0.17774819,0.17475927,0.17304373,0.17235345,0.17238206,0.17247212,0.17172801,0.17056756,0.17197852,0.18197526,0.20309256,0.229917,0.24675685,0.24018954,0.20743787,0.16098802,0.11755491,0.09155782,0.09130571,0.11940495,0.17010517,0.22737129,0.2728634,0.29572237,0.29987192,0.29666483,0.29641017,0.30112514,0.3075527,0.31064275,0.30794576,0.29956496,0.28829858,0.27941474,0.28041816,0.29933295,0.33639506,0.3809135,0.41219535,0.41659662,0.39490643,0.36324307,0.336213,0.31911078,0.307246,0.295895,0.28554156,0.2803316,0.2826501,0.28954598,0.29519403,0.29518995,0.29013672,0.28508902,0.28572646,0.29438248,0.30760825,0.31919637,0.32325807,0.31877553,0.3091317,0.30148795,0.30057618,0.30526635,0.30776024,0.30145288,0.28642985,0.26943263,0.25697973,0.2513048,0.2508197,0.2524811,0.25327203,0.25130394,0.246864,0.24087822,0.23462023,0.23085272,0.23947424,0.2690206,0.31936347,0.37060726,0.4019383,0.40163472,0.37999013,0.35335875,0.33874443,0.342872,0.36186782,0.38073584,0.38311335,0.36559233,0.33972374,0.32218465,0.31861082,0.3219653,0.32034633,0.3068348,0.28254282,0.25334784,0.22692968,0.20932536,0.20470352,0.21396178,0.23440157,0.2593738,0.28037056,0.291242,0.29083443,0.2833759,0.27515018,0.27190423,0.27652836,0.2873912,0.2980772,0.2993501,0.28648537,0.26337606,0.2417835,0.2314526,0.23355715,0.2400587,0.24213506,0.23719113,0.23004355,0.22675644,0.22795598,0.2293609,0.22630705,0.21859741,0.20738763,0.19282575,0.17409205,0.15499413,0.1449613,0.15285306,0.18070184,0.222423,0.27359033,0.32983696,0.38579568,0.4251155,0.43488207,0.41192362,0.37087497,0.327883,0.2934066,0.26797065,0.24899866,0.23398118,0.22109671,0.20963311,0.20036678,0.19650607,0.20157568,0.21601848,0.23456673,0.2484351,0.25179031,0.2465166,0.23944972,0.23608835,0.23637088,0.23900394,0.24276458,0.24734926,0.24857657,0.24293281,0.2294087,0.21199192,0.19377126,0.1751843,0.15473926,0.13259183,0.111290984,0.093607605,0.08076193,0.07190905,0.06706241,0.070358366,0.09147084,0.13891876,0.20879264,0.27942857,0.32257697,0.3242608,0.29457083,0.25936732,0.24155289,0.2525365,0.28804624,0.3320377,0.3596758,0.35437143,0.3173559,0.26829457,0.22717728,0.20272101,0.19148542,0.18677318,0.1844352,0.18295531,0.18202315,0.18126047,0.18053496,0.17990564,0.18020038,0.18247826,0.18712758,0.19350289,0.20108442,0.21110342,0.2248766,0.24329893,0.26609132,0.29491416,0.32884505,0.3625201,0.3847951,0.38925803,0.37771478,0.35890687,0.33890152,0.3191743,0.2993801,0.28095925,0.26689878,0.25876614,0.25715315,0.26228324,0.27449062,0.29171252,0.30867398,0.31921193,0.320711,0.3160471,0.31222853,0.31525317,0.3271482,0.34575096,0.36927596,0.39831206,0.4318855,0.46258947,0.47755182,0.4692481,0.44137263,0.4057378,0.37090775,0.3384571,0.30694342,0.27871418,0.25956586,0.2540252,0.26037458,0.27100885,0.27667454,0.2725743,0.26211107,0.25462422,0.25915113,0.27685115,0.30063984,0.31919345,0.32647425,0.3243661,0.3217524,0.32318303,0.32531217,0.31656286,0.29092655,0.25298503,0.2184018,0.20151192,0.20717974,0.22971779,0.25787938,0.2838039,0.30219427,0.3109512,0.3051806,0.28489664,0.25827965,0.24679424,0.26804397,0.32220864,0.3835055,0.42229095,0.42421326,0.4004477,0.37228647,0.35805082,0.36502135,0.38975716,0.41979322,0.43923584,0.43905345,0.4211279,0.3951925,0.36955997,0.34849134,0.3323656,0.32055414,0.31163862,0.30448684,0.2985084,0.29341918,0.28870383,0.28363022,0.27832043,0.27315542,0.26842538,0.26329362,0.25704443,0.24919069,0.24121875,0.23616298,0.23871563,0.2491505,0.26193154,0.26547506,0.253633,0.22831696,0.20117873,0.18306334,0.18228419,0.19932254,0.2298683,0.26356438,0.2917488,0.30890557,0.31472734,0.30744597,0.2854746,0.24937452,0.20767234,0.1724199,0.15510379,0.16069286,0.18825005,0.23081684,0.27919388,0.32637706,0.3685536,0.40178046,0.41721812,0.4084258,0.37996903,0.3491421,0.33126056,0.32709607,0.32479858,0.31422773,0.2972797,0.2843465,0.2841809,0.29669,0.31425354,0.32711414,0.3292968,0.32050338,0.3047719,0.2872537,0.27190554,0.26126027,0.25618982,0.2569681,0.26319358,0.27344063,0.28390685,0.2887713,0.2848754,0.27481243,0.2665576,0.26647377,0.27504054,0.28609753,0.2910811,0.2825676,0.25806153,0.22191238,0.18535082,0.16307513,0.16679782,0.20140819,0.25941035,0.32431093,0.37312365,0.39133728,0.37757623,0.3461249,0.31521347,0.3001227,0.30901647,0.3396375,0.37959203,0.40742016,0.40855014,0.38210106,0.34301034,0.30686924,0.282719,0.270455,0.2662194,0.26513147,0.26288387,0.2572909,0.24923904,0.24168654,0.23698813,0.23510657,0.2343678,0.2333201,0.2317434,0.23024254,0.22892779,0.22823314,0.2292723,0.23501295,0.24516656,0.25507596,0.25468042,0.23899585,0.21045995,0.17986305,0.15551054,0.1406985,0.13289063,0.12920387,0.12749034,0.12656331,0.12533365,0.12442371,0.12768318,0.14269811,0.1750132,0.223509,0.2766392,0.3202515,0.34345445,0.3455406,0.33317268,0.319478,0.31881228,0.3405814,0.38015482,0.41878852,0.4350457,0.4216471,0.38881683,0.35413978,0.32712927,0.30706504,0.28912923,0.27177897,0.25640908,0.24426925,0.23535453,0.22898702,0.22473061,0.22153388,0.21838318,0.21470077,0.21105914,0.20769762,0.20397685,0.19861515,0.19284232,0.19111575,0.20001167,0.22006398,0.24394405,0.25744966,0.25309458,0.23285998,0.20810992,0.1873268,0.17418367,0.16724999,0.16503638,0.1663075,0.16963007,0.17346583,0.17690426,0.1831246,0.19932449,0.23414962,0.28609288,0.3395184,0.36942995,0.36187363,0.32271495,0.2749082,0.24142899,0.23746951,0.26486325,0.31215933,0.35482892,0.3694346,0.34895936,0.30931532,0.27469146,0.26035866,0.26494598,0.27787217,0.28828034,0.2902096,0.28200474,0.2659189,0.24660009,0.23015006,0.22152567,0.22393496,0.23726158,0.25778207,0.27739295,0.28724036,0.28286335,0.2682794,0.25432765,0.2504492,0.2585809,0.27035686,0.27575853,0.26875365,0.25260958,0.23401873,0.21974695,0.21262898,0.21316016,0.21968026,0.22877239,0.23563777,0.23672016,0.23199902,0.2247637,0.2177781,0.21151964,0.20468324,0.19765109,0.19199438,0.1891313,0.18771066,0.18772595,0.19384181,0.21773428,0.26420712,0.32282832,0.3653817,0.3714786,0.3416452,0.2992426,0.26585037,0.24987422,0.24592024,0.24627292,0.24625711,0.24446453,0.24120282,0.23709024,0.23287131,0.22918011,0.22699767,0.22704285,0.22928523,0.23235893,0.23472023,0.23512398,0.23430091,0.2350684,0.24302156,0.26218596,0.2913865,0.32112184,0.34048977,0.34378743,0.33515248,0.32210883,0.31065622,0.30250296,0.29860666,0.29936293,0.3042253,0.3103315,0.31470096,0.31708214,0.32186273,0.33716106,0.36695564,0.4051166,0.43304667,0.43422735,0.40499803,0.35996678,0.31910035,0.2984606,0.3052945,0.33688578,0.38013697,0.41249883,0.41762432,0.3948951,0.36073622,0.33144176,0.31347466,0.3037994,0.29826018,0.29554653,0.29508445,0.29600754,0.2969087,0.29902872,0.3062395,0.32508883,0.35609493,0.39054254,0.40981826,0.402364,0.37040594,0.33176854,0.30321565,0.29387388,0.30106363,0.31663895,0.3302741,0.3352125,0.33069092,0.32107338,0.31164083,0.3051755,0.3025863,0.30416778,0.31006417,0.3190229,0.32887664,0.33827925,0.34946704,0.36689162,0.39475146,0.42999133,0.46274543,0.47899675,0.47246206,0.4476613,0.41806868,0.39623785,0.38951328,0.39989614,0.42305186,0.44857857,0.46077093,0.44905922,0.4117423,0.35818103,0.30123076,0.25553763,0.23334342,0.24142444,0.27675042,0.32618675,0.37394893,0.40799752,0.42569897,0.43027425,0.42812598,0.4239483,0.4207683,0.41931102,0.41961193,0.4212028,0.42336676,0.4247782,0.42285308,0.4157895,0.40334868,0.39004168,0.38058767,0.37781832,0.37672925,0.37114286,0.3569366,0.33838335,0.32115075,0.3093253,0.30101025,0.2926077,0.280791,0.26490268,0.24624036,0.22663213,0.20738058,0.18927605,0.17470248,0.16747226,0.17088388,0.18344457,0.19944833,0.21234912,0.22112006,0.22957562,0.24295074,0.2612438,0.28065303,0.29594037,0.30472922,0.30539742,0.29660043,0.27786374,0.25252935,0.22752707,0.20910418,0.19901161,0.19389069,0.18897773,0.18122572,0.17002715,0.15570478,0.13819999,0.11771694,0.09580594,0.07564876,0.060243856,0.052836657,0.05827871,0.08570602,0.13990378,0.21399878,0.28385642,0.32570255,0.32908186,0.3045626,0.268195,0.23232675,0.20242228,0.1837884,0.181297,0.19481353,0.2163903,0.23513208,0.24467002,0.2454775,0.24095081,0.2331468,0.222576,0.21086995,0.20128222,0.1979898,0.20400006,0.22167267,0.25186348,0.2946694,0.3453393,0.39374927,0.4244157,0.42804778,0.40709153,0.3768362,0.35206345,0.33926713,0.33427155,0.3295159,0.32022926,0.3079313,0.29922816,0.30108997,0.31511164,0.33531082,0.35160494,0.3567883,0.3499837,0.334864,0.3152524,0.29363555,0.27314273,0.2592382,0.2584016,0.27378115,0.30013433,0.32433042,0.3304261,0.3110162,0.27079344,0.22455126,0.18564385,0.16044597,0.14726454,0.14260583,0.14405645,0.15008491,0.15714824,0.16140942,0.1649254,0.17846131,0.21561778,0.27582812,0.33976045,0.3770214,0.37329212,0.337068,0.2962103,0.2743939,0.28555647,0.32530725,0.3764038,0.40998912,0.40665147,0.36725828,0.31472948,0.27237836,0.25031564,0.24344385,0.24266732,0.24220695,0.24075979,0.23920189,0.23850954,0.2391902,0.24076383,0.24234475,0.2430612,0.24277401,0.24186124,0.2407019,0.23940216,0.23845921,0.23984586,0.24698102,0.26066628,0.27625775,0.2832074,0.27389804,0.24869199,0.21739651,0.1905909,0.17485064,0.17100316,0.17706807,0.18955117,0.20383686,0.215509,0.22180851,0.22301501,0.22151572,0.2212236,0.2254346,0.2358722,0.2505795,0.26602092,0.27853438,0.28809175,0.29813078,0.31538817,0.34564856,0.3873439,0.4292034,0.45443562,0.45479235,0.43513867,0.41041148,0.39145306,0.38073483,0.37371945,0.36612472,0.35596964,0.3438078,0.33123374,0.3208522,0.31460258,0.3136331,0.31639674,0.3205504,0.3224546,0.32102123,0.31680366,0.31291318,0.3115988,0.31461477,0.323329,0.33708444,0.351946,0.35922036,0.35312864,0.33300152,0.30466673,0.27438176,0.24872488,0.23493253,0.23695451,0.25073695,0.26287305,0.2635503,0.25434235,0.24984471,0.26365134,0.30137563,0.35381702,0.4043821,0.43311694,0.43196884,0.40545264,0.3703383,0.3418992,0.3323295,0.34560034,0.3772885,0.40925753,0.42082593,0.40135756,0.36203387,0.32383725,0.30309597,0.29946947,0.30254528,0.30155632,0.2937205,0.28345183,0.27829888,0.28355303,0.2998465,0.3215375,0.33942,0.34365308,0.3297023,0.30047086,0.2666352,0.24196349,0.23771174,0.25679615,0.29101405,0.323777,0.33852017,0.32805634,0.2975973,0.25854895,0.22029786,0.18623805,0.15799557,0.13887136,0.13446945,0.14692359,0.17256679,0.2029652,0.23150511,0.25587693,0.2766892,0.29279578,0.30113256,0.29979873,0.29197267,0.28474864,0.28605953,0.30131552,0.33298668,0.37899446,0.4291966,0.46618176,0.47220516,0.4435761,0.39231107,0.3399786,0.300841,0.27942994,0.2710321,0.27074695,0.27403912,0.28006813,0.28955266,0.303987,0.3212732,0.33563662,0.34056523,0.33355752,0.31789187,0.29983354,0.28492907,0.27506104,0.27019584,0.2697909,0.27470243,0.28244412,0.2868455,0.27761328,0.25054368,0.20906782,0.16504006,0.12816921,0.10327602,0.08841776,0.07996569,0.07454202,0.07063526,0.06793904,0.0686261,0.07887595,0.10940381,0.16699654,0.24440582,0.31644177,0.35561225,0.35142192,0.3178972,0.28133905,0.26334897,0.2742082,0.30950627,0.35282025,0.3783014,0.36921605,0.32822153,0.277025,0.23640865,0.21405344,0.20510174,0.20213807,0.20142324,0.20161055,0.20245598,0.20333713,0.20450705,0.2056527,0.20664732,0.20683444,0.2064838,0.20565528,0.20462199,0.20308678,0.20179439,0.20277764,0.20963745,0.22336738,0.23946828,0.24712628,0.23719782,0.20904666,0.17314422,0.14431013,0.13466747,0.1498912,0.18814987,0.24102825,0.29500666,0.33820108,0.36460832,0.37555143,0.37455848,0.3649458,0.350188,0.33480933,0.32324895,0.3159429,0.3119987,0.31150892,0.32015815,0.34353045,0.38241217,0.42573163,0.45654964,0.4600031,0.43607596,0.39710093,0.36088923,0.3376799,0.32897225,0.3296685,0.3336363,0.33501545,0.32929876,0.31490386,0.29438078,0.27383435,0.2602142,0.2592046,0.2724571,0.2960432,0.31919357,0.32988572,0.32162738,0.30075184,0.28231058,0.28211537,0.30358052,0.33705235,0.3640636,0.3721303,0.35805598,0.32887748,0.2942733,0.26610777,0.25420788,0.26215684,0.28220204,0.2990097,0.2988329,0.27769616,0.24430919,0.21714056,0.21846817,0.25850236,0.32679674,0.39136887,0.42357817,0.4139091,0.37955925,0.34668303,0.33679083,0.3562665,0.3950894,0.4330399,0.44961336,0.43927762,0.41038728,0.37831107,0.35072854,0.32851052,0.30933127,0.29411444,0.2844372,0.28042006,0.27955407,0.27946118,0.27906266,0.2787498,0.27876294,0.27881074,0.27795124,0.2753766,0.27090558,0.26498872,0.25993618,0.2591763,0.26710796,0.2812892,0.29283133,0.28778806,0.26385444,0.23146789,0.21046637,0.21109031,0.23019886,0.25489497,0.2745701,0.28521383,0.28670853,0.27888957,0.26143768,0.23789407,0.2161563,0.20413625,0.20325166,0.20924222,0.21620524,0.2224896,0.22812004,0.23510659,0.24593616,0.2673473,0.30237648,0.3447589,0.3752518,0.37812886,0.35413793,0.32283676,0.30439755,0.30484518,0.31559077,0.3251232,0.3286705,0.32805434,0.32723376,0.32899085,0.33444998,0.34339985,0.35409346,0.3636309,0.36935377,0.3697231,0.36492276,0.3562058,0.34694907,0.34202564,0.34573045,0.35566235,0.36145005,0.35010222,0.31880745,0.27947333,0.25087097,0.24300988,0.25059012,0.26197103,0.27025068,0.27737603,0.28477582,0.2889901,0.28192055,0.26230454,0.23978074,0.23471183,0.260213,0.31071413,0.35792005,0.37530074,0.35681644,0.32386872,0.30434707,0.31412378,0.34823847,0.38747194,0.41009602,0.40367565,0.37197638,0.33065143,0.29622623,0.27726173,0.27503893,0.28713074,0.3083516,0.32888362,0.33786687,0.3298993,0.30991924,0.28911647,0.27771863,0.2792453,0.2902908,0.30368206,0.31248543,0.31429625,0.31196448,0.31196812,0.31873286,0.33183885,0.34479868,0.34983805,0.3419532,0.32314575,0.29918623,0.27567294,0.25387022,0.23383819,0.21671468,0.20559822,0.20159185,0.2036788,0.21027625,0.22202612,0.23975073,0.2623094,0.28622046,0.30772242,0.32406023,0.3325121,0.33005163,0.31475,0.29005396,0.26776204,0.2644941,0.28806043,0.32690978,0.3533678,0.34724763,0.31058234,0.26549503,0.23196971,0.21793066,0.22145809,0.24097139,0.27470756,0.31641924,0.35411885,0.37780604,0.38548636,0.3832812,0.37863937,0.37588522,0.3753083,0.3751807,0.37279823,0.36511764,0.3504379,0.33104637,0.31428397,0.3081095,0.31433094,0.32539356,0.33052406,0.3247908,0.3123109,0.3008693,0.29465973,0.29292116,0.2927891,0.29272032,0.2926109,0.29300228,0.29390383,0.2953999,0.29916874,0.3097074,0.33118156,0.36023676,0.38359216,0.3846893,0.35808468,0.31308195,0.26965037,0.24550216,0.25295007,0.29040995,0.34229183,0.37953055,0.38071796,0.34486413,0.29307503,0.24829288,0.22176433,0.21126789,0.20996745,0.212339,0.21482773,0.2152669,0.21272606,0.20820834,0.20446579,0.20509566,0.21247959,0.22597246,0.24202748,0.25740945,0.27191237,0.2891487,0.3124231,0.34166226,0.36973694,0.38586006,0.37964973,0.3499641,0.3052845,0.26039508,0.2266072,0.20836635,0.2043248,0.21138732,0.22607164,0.24302606,0.25595424,0.26040086,0.25709277,0.25061616,0.24543811,0.24305831,0.24237895,0.24149884,0.23894393,0.23396872,0.22807296,0.22649653,0.2380104,0.26944304,0.31644312,0.36111054,0.38127682,0.3682637,0.33271098,0.29551163,0.27144888,0.2632417,0.26594415,0.27353325,0.2819191,0.28836247,0.29187977,0.29257587,0.2917081,0.29016015,0.28837678,0.28596142,0.28253135,0.27820155,0.27385676,0.2707684,0.27089798,0.27679458,0.2917688,0.3146726,0.33932266,0.3542095,0.35423765,0.3423535,0.32962814,0.32296303,0.32324198,0.32569635,0.32661787,0.32457438,0.32043684,0.31529507,0.310153,0.3070843,0.3109285,0.3284173,0.3593894,0.3921868,0.40596423,0.38929573,0.34844816,0.3049083,0.2783443,0.27844015,0.30397722,0.3443413,0.38225105,0.3992587,0.38853344,0.35788107,0.323761,0.2979519,0.28359056,0.2782019,0.2786542,0.2826563,0.28768626,0.29202417,0.29574683,0.3029656,0.32003585,0.35078016,0.38831076,0.41563305,0.4155228,0.38643363,0.34326467,0.30809996,0.2940432,0.30395237,0.32951692,0.3592473,0.3779869,0.37873664,0.36195663,0.34003332,0.32561728,0.33057752,0.35631108,0.39519092,0.4298786,0.4462701,0.44041243,0.42146194,0.4023023,0.3929632,0.39657164,0.40930924,0.4220178,0.42407286,0.41062772,0.38409814,0.35351714,0.32925367,0.3226939,0.33963808,0.37635115,0.4165999,0.4433012,0.44898084,0.43998837,0.4272968,0.4181403,0.41318926,0.41039428,0.40800822,0.40640786,0.40663898,0.40958175,0.4142106,0.41916826,0.42357096,0.42790377,0.4319332,0.43451145,0.4340733,0.4311471,0.4275616,0.4256331,0.42573562,0.4278306,0.43108055,0.4354,0.43999198,0.444996,0.45047832,0.4562124,0.46002245,0.45976782,0.45562592,0.45107245,0.44958174,0.45210195,0.45626745,0.45934162,0.4594009,0.4563143,0.4507731,0.44431877,0.43845394,0.43358144,0.42848602,0.42084417,0.40918735,0.3936807,0.37615433,0.35894576,0.3440254,0.3329638,0.32635692,0.3241845,0.32499436,0.32725093,0.32989827,0.33304542,0.33715498,0.34198317,0.34660602,0.348152,0.34199104,0.32359695,0.294775,0.26556137,0.24878864,0.24853401,0.25694534,0.26097667,0.2538426,0.23960717,0.22972412,0.23867004,0.27316648,0.328279,0.38255808,0.4160595,0.41847888,0.39886162,0.3705503,0.34953055,0.34446084,0.35782042,0.37619936,0.38094664,0.36041138,0.3245325,0.2951307,0.29086897,0.3160034,0.3609334,0.40932918,0.4424964,0.45000914,0.43151906,0.3988689,0.3671242,0.35106626,0.35814723,0.3827003,0.40584219,0.40625572,0.3781215,0.334843,0.29860735,0.2835941,0.2902145,0.3091233,0.3279737,0.33746088,0.33464822,0.32490337,0.31743005,0.31921744,0.33011612,0.34508732,0.35885224,0.37006196,0.37987736,0.3894004,0.39745334,0.40330753,0.40835127,0.41538748,0.42328596,0.42572245,0.41581416,0.39328158,0.3647201,0.3366072,0.31004083,0.2824063,0.25354072,0.22681421,0.20599999,0.19155021,0.18133397,0.17424726,0.17375667,0.18866704,0.22647749,0.2829956,0.33799887,0.36638045,0.35752836,0.32251033,0.2859156,0.26855302,0.2816219,0.32054353,0.3679873,0.39588562,0.386837,0.34411296,0.2918404,0.2523359,0.23442976,0.2331148,0.240611,0.2513235,0.2614603,0.26755753,0.2674701,0.2618344,0.25409085,0.24817824,0.24656399,0.2489316,0.25324595,0.2570945,0.25904712,0.2604071,0.2651159,0.2789978,0.30148175,0.3237302,0.32952973,0.31199405,0.27893662,0.25113627,0.24363737,0.25741455,0.28143963,0.30453995,0.3225262,0.33649457,0.34836844,0.35757816,0.36238274,0.3619739,0.35800478,0.3541951,0.35418877,0.35940012,0.36758626,0.37428486,0.3759482,0.37394962,0.37491512,0.3864526,0.4085503,0.4309611,0.43816933,0.4227489,0.3891938,0.35086346,0.31841907,0.29788437,0.29108498,0.29877985,0.31839982,0.34232888,0.3605077,0.36574972,0.3591431,0.3486253,0.34338668,0.3468758,0.35522106,0.36178637,0.36359334,0.36364302,0.36757576,0.3781158,0.39258572,0.40350077,0.40278092,0.38532186,0.3524978,0.31042853,0.26782152,0.23218195,0.21058865,0.20757826,0.22401148,0.25351417,0.28578854,0.3106399,0.32516268,0.33407453,0.3487084,0.37603322,0.41230258,0.4392304,0.4393227,0.4078534,0.3600429,0.31859115,0.3025976,0.31851694,0.35866272,0.4036925,0.43135396,0.4305942,0.40579915,0.37126574,0.33831742,0.31263593,0.29640722,0.29132065,0.2959369,0.30399206,0.30769047,0.3035829,0.2955648,0.29159126,0.29718688,0.31136668,0.32718515,0.33667707,0.33542538,0.3252914,0.31395745,0.31137607,0.3240703,0.3491716,0.37507066,0.38856247,0.3849018,0.36944103,0.35145164,0.33527276,0.3193922,0.3007228,0.27972832,0.25968593,0.24393363,0.23330152,0.22636299,0.22065645,0.21421404,0.20699944,0.20059924,0.19665195,0.1947682,0.19296128,0.19019087,0.1902821,0.20264514,0.237751,0.29489827,0.3569965,0.39660624,0.39860472,0.36946714,0.33268425,0.30602205,0.29382786,0.28879753,0.28475463,0.27961037,0.2746478,0.2703676,0.2664037,0.2631544,0.262898,0.26923978,0.28273165,0.29964316,0.3118538,0.3142543,0.3066685,0.2960244,0.28931347,0.29220188,0.30230698,0.3125875,0.31105772,0.29283038,0.2600059,0.22354372,0.19161117,0.1687726,0.15374751,0.14455988,0.13862313,0.1338232,0.12851012,0.12319899,0.123438984,0.1397626,0.18230684,0.24785466,0.3159478,0.3573099,0.35741135,0.3242396,0.28324804,0.2570338,0.2590685,0.28840354,0.33283368,0.36930934,0.37866095,0.35684332,0.31850496,0.28229645,0.25846133,0.24609804,0.24025102,0.23769915,0.23671573,0.23658313,0.2364081,0.23656626,0.23662011,0.23625611,0.23489673,0.23385246,0.23433392,0.23668535,0.2394992,0.24233206,0.24670763,0.25557855,0.2685535,0.28009713,0.2806387,0.26524678,0.23837431,0.21396923,0.20559789,0.21902387,0.24945204,0.28705812,0.32272688,0.35147512,0.37219083,0.38552165,0.39178383,0.3892126,0.376418,0.3563373,0.33788642,0.33008066,0.3336716,0.3405002,0.3406844,0.33411002,0.33062413,0.34564158,0.38339007,0.43434164,0.4748732,0.49053743,0.48128226,0.46409157,0.45171908,0.44852725,0.4495796,0.45216107,0.45712817,0.46708202,0.48153555,0.49634147,0.5066007,0.51025885,0.5093507,0.5073922,0.5060558,0.5042481,0.500351,0.49467036,0.4897965,0.4883916,0.49211738,0.49943674,0.5070048,0.5084153,0.49953482,0.47846183,0.44802186,0.40981403,0.36596084,0.31983146,0.28027925,0.25520092,0.2455902,0.24261834,0.23573835,0.22272415,0.21372096,0.22726506,0.27290186,0.34186557,0.4049085,0.43726525,0.43260208,0.40820026,0.3856745,0.38017818,0.3952373,0.42305663,0.44756064,0.45047364,0.42723063,0.3886235,0.3539547,0.33320785,0.3252567,0.32211784,0.31830347,0.3112875,0.30126676,0.28946766,0.2781644,0.26913488,0.2630712,0.25967216,0.2581693,0.25736997,0.25577572,0.2526903,0.24963985,0.2504737,0.260108,0.27980062,0.30381283,0.3189795,0.31328213,0.28460774,0.24366017,0.20689048,0.1872326,0.1907794,0.2157859,0.25374725,0.2888232,0.30575755,0.2994214,0.27986002,0.2641348,0.26242423,0.27354157,0.28988358,0.3080193,0.32863152,0.3520007,0.37174,0.38044333,0.37831748,0.37872586,0.39402542,0.42268932,0.44419464,0.44140127,0.41291198,0.3753965,0.34371218,0.32360795,0.31247202,0.30776277,0.30884013,0.314445,0.3218824,0.3275558,0.32953796,0.32760656,0.32333025,0.31861985,0.3150143,0.31248423,0.3105692,0.30850342,0.30748895,0.30949053,0.31860366,0.33425948,0.34990785,0.3507662,0.32880208,0.2885931,0.24895154,0.22385485,0.21498035,0.21242589,0.21038286,0.2118798,0.22457133,0.24985921,0.28023782,0.30666956,0.3264995,0.34654436,0.37068322,0.39390555,0.3998584,0.38029376,0.3404963,0.30141512,0.2816611,0.29280576,0.33113804,0.38060892,0.41452706,0.41275156,0.37449387,0.32000634,0.27347985,0.2474526,0.24012823,0.24326958,0.25039837,0.25799462,0.264685,0.2692623,0.2711675,0.270268,0.26778254,0.26565436,0.26590073,0.26925504,0.27509835,0.28226802,0.29004207,0.29908964,0.31114992,0.32744005,0.34615323,0.36229834,0.37151518,0.37266588,0.367012,0.35346034,0.33031905,0.29921046,0.26835993,0.24617572,0.23635863,0.2379272,0.2504939,0.27467108,0.30727732,0.33995914,0.36314985,0.37326404,0.37270072,0.36668327,0.35819784,0.34866273,0.3404717,0.34069848,0.3578696,0.393415,0.43473968,0.4606289,0.4574648,0.4289895,0.3914881,0.3584473,0.3333614,0.31291533,0.29448926,0.27881694,0.26759148,0.2612978,0.25839642,0.25712264,0.25652078,0.25696835,0.258862,0.2616783,0.26390854,0.26431355,0.2631183,0.26294062,0.2680248,0.28224054,0.30387282,0.32473406,0.33256507,0.32150665,0.29523733,0.26605675,0.24535815,0.2403174,0.252888,0.28157595,0.32072124,0.36055645,0.3907595,0.40634623,0.41099837,0.41534376,0.42855918,0.45045528,0.46897295,0.46924806,0.44644666,0.4104202,0.37928823,0.36744475,0.3811333,0.41399872,0.44953203,0.4641296,0.44513574,0.3980546,0.3451117,0.30527845,0.285766,0.28153923,0.28482282,0.28890404,0.29032776,0.28861967,0.2863945,0.28698727,0.2929839,0.3043325,0.3190644,0.33308998,0.34324348,0.34823957,0.3498105,0.3507092,0.35386792,0.36205086,0.37480488,0.38763067,0.39130393,0.38035095,0.35564125,0.32578,0.29944006,0.28285846,0.2769753,0.27907956,0.28337553,0.28550944,0.28437364,0.2825111,0.28119093,0.2798691,0.2768323,0.2734224,0.27224,0.27499777,0.27915192,0.2804598,0.27768818,0.2765462,0.2890449,0.3223963,0.37095895,0.41355813,0.4310913,0.41925073,0.39243126,0.3682886,0.35662246,0.3568426,0.36418483,0.37413123,0.38360032,0.39106452,0.39635038,0.40002275,0.4025371,0.40437353,0.40606007,0.40810242,0.41051635,0.41325593,0.41646317,0.42055455,0.4261059,0.43340802,0.44125748,0.44517908,0.43924555,0.42015576,0.39220226,0.36436108,0.34501493,0.33552468,0.33234182,0.33022282,0.32669294,0.321479,0.31592187,0.31138453,0.31078961,0.31917986,0.34373856,0.38455978,0.4301021,0.45756876,0.45250952,0.41839966,0.37709752,0.35020718,0.34939265,0.3729596,0.40843663,0.43703917,0.44057003,0.41523477,0.37242898,0.33207998,0.30593207,0.29505372,0.29283237,0.29430982,0.29748857,0.30283764,0.31016353,0.3194165,0.33232597,0.3542272,0.38925102,0.43237802,0.4663422,0.47187218,0.4435806,0.39509836,0.34931955,0.32312438,0.32185337,0.33919004,0.36365476,0.38192526,0.3891183,0.38742673,0.38489196,0.38427868,0.38591528,0.38909855,0.39708272,0.41170785,0.4298024,0.44223824,0.44046214,0.42464963,0.40671155,0.40379593,0.4229881,0.45418766,0.47608304,0.47661397,0.4610834,0.44812557,0.4523739,0.4780092,0.51533633,0.5472753,0.5542856,0.52812326,0.4755546,0.41523048,0.3623111,0.32310024,0.2956715,0.27639794,0.260573,0.24346262,0.22183633,0.19688009,0.174222,0.16231507,0.16936791,0.19887151,0.24490309,0.29174745,0.3209448,0.32129815,0.29563007,0.2578522,0.22474717,0.20464228,0.19420862,0.18201374,0.16080254,0.13379568,0.112939805,0.10777905,0.11969614,0.14374653,0.17688555,0.21806557,0.26430365,0.30416355,0.3239794,0.315723,0.2856379,0.24955286,0.22419684,0.21679312,0.22402702,0.23739068,0.25020978,0.25930193,0.26291814,0.26047936,0.25436604,0.25088286,0.25534284,0.26717716,0.27777094,0.27673888,0.26025778,0.2363437,0.21990769,0.22081165,0.23617648,0.25295666,0.2595612,0.25199535,0.2333377,0.2074855,0.17773123,0.14702584,0.11973315,0.10060672,0.09379051,0.10057345,0.11860616,0.14472266,0.18042588,0.2334646,0.30741128,0.39065465,0.4554496,0.476691,0.44801092,0.38787386,0.3270645,0.29719007,0.3133843,0.36795214,0.42812255,0.4605792,0.44913903,0.4081521,0.36406505,0.34384322,0.3567433,0.39549914,0.4335477,0.4447874,0.41727695,0.3657875,0.31752113,0.2972544,0.3123933,0.3519123,0.3910918,0.40504703,0.38422596,0.33923337,0.29118493,0.25574243,0.23651297,0.22957535,0.22955559,0.23281802,0.23621248,0.23815864,0.23850554,0.2389148,0.24069613,0.24396497,0.24733625,0.24951315,0.25025037,0.25065997,0.2518915,0.2552687,0.26187274,0.2728906,0.2843801,0.28730214,0.26935712,0.22763465,0.17056279,0.11519599,0.073667735,0.049620047,0.039297257,0.037634756,0.040289808,0.04359879,0.044983063,0.044210464,0.04653117,0.062614515,0.10433835,0.17169726,0.24715519,0.30082533,0.31432274,0.29154018,0.25758573,0.23736925,0.24636988,0.28129113,0.32573304,0.35376683,0.34976962,0.31632605,0.274083,0.24194701,0.22712804,0.22479159,0.22803663,0.23282896,0.2378255,0.24232036,0.2453657,0.2466544,0.24678439,0.24710084,0.24841619,0.25044084,0.25209928,0.25283065,0.25315616,0.255125,0.26149154,0.27566838,0.2974465,0.32222447,0.34003666,0.3446114,0.3359019,0.32193735,0.30981615,0.30303344,0.29915377,0.29367793,0.2813711,0.26002538,0.23298512,0.21069156,0.20479232,0.22026108,0.25026217,0.28199747,0.3060545,0.32138786,0.3313665,0.3370645,0.33746684,0.33379582,0.33394703,0.3458786,0.36873353,0.38867387,0.38990173,0.36810276,0.33419308,0.3039254,0.28646556,0.28171682,0.28469718,0.2893673,0.29072452,0.28686863,0.28054985,0.27672875,0.27737144,0.27980378,0.2801013,0.27831855,0.27762756,0.27993917,0.28257218,0.2822541,0.28026065,0.2833579,0.29621872,0.31545725,0.33012974,0.33166647,0.32006618,0.3033812,0.28950953,0.28188172,0.2794234,0.2804438,0.2836925,0.28844973,0.29290935,0.29470012,0.29276916,0.29050267,0.29732952,0.32015166,0.35579363,0.38521373,0.39012265,0.36444402,0.32263386,0.2853651,0.2700836,0.28207573,0.31251833,0.34049752,0.34260765,0.31120357,0.25840673,0.20741792,0.17309658,0.15766251,0.15624921,0.16533673,0.18327965,0.20627032,0.22799568,0.24173076,0.24466328,0.23793174,0.22561146,0.21205251,0.20126694,0.19648401,0.19900571,0.20759217,0.21847685,0.2299972,0.24207692,0.255,0.26316395,0.25960553,0.24216966,0.21967387,0.20610057,0.20957358,0.22648199,0.24407883,0.25252834,0.2504293,0.24492,0.24229471,0.24396616,0.24609129,0.24487104,0.23824757,0.22710751,0.21374296,0.2026972,0.19785994,0.20172961,0.21449423,0.23799412,0.2755011,0.3249912,0.37412366,0.40312365,0.4026437,0.37939516,0.35326353,0.33812806,0.33760688,0.3456719,0.3567281,0.367287,0.37648824,0.38361502,0.38852844,0.39109027,0.39200234,0.39178824,0.39152527,0.39176705,0.392794,0.39420703,0.39558184,0.39751148,0.40063486,0.40479115,0.4040699,0.3891871,0.35023633,0.28852776,0.21536708,0.14870414,0.09944909,0.07006631,0.055838913,0.05195201,0.054578185,0.06058551,0.06662703,0.07124712,0.07880982,0.10087022,0.15043159,0.22751938,0.31248644,0.37363645,0.39280713,0.3764973,0.3517922,0.3426552,0.3605223,0.3978883,0.43784764,0.4581454,0.44878694,0.41487446,0.37627268,0.349192,0.3396546,0.34271106,0.3512359,0.3604801,0.36827776,0.37446618,0.37909833,0.38287708,0.38634086,0.39038655,0.39629638,0.4044001,0.4136672,0.42094758,0.4244162,0.4241289,0.42302987,0.42369398,0.4267775,0.42969227,0.42728722,0.41535386,0.39259624,0.36249825,0.32997593,0.29986787,0.27491164,0.25587302,0.24109979,0.2272612,0.21216267,0.19620813,0.1819079,0.17052376,0.1623741,0.15829766,0.16183837,0.1758234,0.19956873,0.22745526,0.25352216,0.27657712,0.3021473,0.338738,0.38640603,0.4335601,0.46013296,0.45701686,0.43060288,0.40047705,0.3805671,0.37488678,0.3783323,0.38578644,0.3942127,0.40208498,0.4080379,0.41040006,0.40868795,0.40348879,0.39706704,0.3916385,0.38866103,0.3878204,0.38806093,0.38884827,0.39075688,0.3949981,0.4015242,0.40609983,0.40000382,0.37247917,0.32051602,0.2517334,0.18339725,0.12968387,0.09627691,0.07872599,0.06972549,0.06370073,0.058705945,0.054833625,0.05206154,0.053330597,0.06659809,0.106599264,0.17825782,0.26895106,0.3446264,0.380546,0.37376335,0.34960854,0.333943,0.34289667,0.3723239,0.40703022,0.42538974,0.4159343,0.382848,0.34467342,0.31750938,0.30707967,0.30893067,0.31698355,0.32748225,0.3387833,0.3500277,0.36017928,0.36879313,0.37578806,0.38246688,0.3901919,0.39980873,0.40944445,0.4159946,0.41683266,0.41306853,0.4087764,0.4087652,0.41355684,0.4189761,0.41684306,0.40160406,0.37106895,0.32838824,0.27829826,0.22931248,0.19187342,0.17565767,0.18197258,0.20252411,0.22526081,0.24368732,0.25851122,0.2722009,0.28268123,0.28421107,0.27226314,0.24732333,0.21393465,0.1777116,0.14430101,0.121740796,0.12257456,0.15895803,0.22883224,0.30892503,0.36404374,0.3744754,0.34804416,0.31207773,0.28718182,0.27760935,0.2757943,0.27545774,0.27508986,0.27555743,0.2765577,0.2766955,0.27506003,0.27270302,0.271634,0.2733784,0.2770219,0.2802601,0.28102478,0.28030926,0.281675,0.28944683,0.30322888,0.31586978,0.31469846,0.2906643,0.24467258,0.18850769,0.13627274,0.09737277,0.07407912,0.06504553,0.067083076,0.07583516,0.0851826,0.090246476,0.091353245,0.09738969,0.123707496,0.17984664,0.25795594,0.3300681,0.368399,0.36455217,0.33550492,0.30770847,0.30077156,0.32229733,0.3639989,0.40651798,0.4230685,0.40296617,0.3557171,0.30788168,0.27729586,0.26728404,0.2684318,0.2723957,0.27522585,0.27731574,0.2793386,0.28134978,0.28251013,0.2829877,0.28432634,0.2887658,0.29741812,0.3096472,0.32512283,0.3441194,0.36732677,0.39200214,0.41254544,0.42035964,0.40954277,0.37925395,0.33833608,0.29979166,0.2753038,0.26705316,0.27079853,0.2795519,0.28909895,0.2971023,0.30245468,0.30393186,0.2995979,0.28813812,0.2690586,0.24483997,0.21782897,0.19157158,0.16981618,0.15992315,0.1675033,0.19491096,0.23802285,0.2935846,0.35416636,0.40818882,0.4348167,0.4227459,0.37681666,0.3214514,0.27962187,0.26358584,0.26960853,0.2871889,0.30415848,0.31343868,0.31304273,0.30606666,0.2965958,0.28876218,0.28442517,0.28251398,0.27934477,0.27156222,0.26018915,0.25090057,0.25186977,0.26867688,0.30022448,0.33774623,0.36759996,0.37973467,0.3719059,0.35117063,0.32675746,0.30687568,0.29592857,0.29603162,0.3054826,0.3185365,0.32690606,0.3247535,0.31448653,0.30728102,0.31854904,0.35251117,0.39644077,0.42241454,0.41256377,0.3694121,0.31732687,0.28101385,0.27588165,0.3027151,0.34878954,0.39254066,0.41131094,0.39918795,0.36549103,0.32951805,0.3011594,0.28253004,0.26892117,0.25823316,0.24914734,0.24175118,0.23562682,0.2309937,0.22828643,0.2280795,0.23052007,0.23503123,0.24028896,0.24439178,0.2460463,0.24604596,0.24799292,0.25760093,0.2768481,0.30097046,0.3170029,0.31491175,0.2934303,0.26349378,0.23737206,0.22278126,0.21985267,0.22569585,0.23710175,0.25075784,0.2635437,0.27228466,0.27598345,0.27588296,0.2755367,0.27816164,0.28320312,0.28621474,0.28078365,0.2650436,0.24175443,0.22066812,0.21395308,0.23690379,0.29341325,0.37209812,0.44201303,0.47948596,0.47904554,0.460363,0.4435909,0.4396585,0.4458708,0.4563172,0.46640503,0.47333384,0.47660208,0.47627804,0.4759967,0.48048413,0.49613523,0.51980424,0.53877157,0.5336874,0.500104,0.45197704,0.41466483,0.40363947,0.41807544,0.4451115,0.4684428,0.47553232,0.46151927,0.43318465,0.40361002,0.38505697,0.3812729,0.38993642,0.40585545,0.42486444,0.44275668,0.45558444,0.46103123,0.4602605,0.45919934,0.46555772,0.48400322,0.5087829,0.52505255,0.5182305,0.48765898,0.4470779,0.4160652,0.4075092,0.42668477,0.46688047,0.51217,0.53746676,0.52874607,0.48931828,0.4409009,0.40182206,0.38002875,0.37186906,0.37229475,0.37727904,0.38409182,0.39020213,0.3939092,0.39728558,0.40629494,0.4296627,0.46694365,0.50574595,0.5233724,0.5095107,0.4718397,0.43425134,0.41473612,0.4189072,0.43921348,0.46299437,0.47687733,0.47147536,0.4471794,0.41344488,0.38604173,0.37842444,0.39955676,0.44358578,0.49180618,0.51581097,0.5025899,0.4602097,0.41699013,0.39715222,0.4125522,0.45387006,0.49886367,0.5189195,0.50036436,0.45044672,0.39557895,0.36078772,0.36158538,0.3966035,0.4503624,0.4949207,0.5059062,0.47711527,0.42546853,0.37525034,0.34024107,0.31693646,0.29345986,0.261662,0.2229882,0.18508075,0.15536803,0.13664702,0.12760164,0.12507696,0.12603195,0.1281275,0.12992822,0.13094734,0.13126613,0.13102472,0.1302325,0.1289985,0.12773842,0.12673856,0.12587415,0.12445446,0.12210896,0.118971854,0.11576974,0.11294922,0.11061881,0.108542435,0.106585495,0.1045715,0.10225507,0.099282436,0.0955846,0.0914703,0.08759218,0.08459249,0.082914375,0.08256945,0.08304889,0.08344362,0.082918145,0.08118052,0.07879371,0.07687763,0.07670631,0.07850889,0.0812422,0.08266401,0.081346035,0.07730906,0.072196096,0.067488134,0.06394512,0.061404675,0.05952948,0.058026135,0.056760196,0.05569082,0.0548041,0.054067332,0.053416114,0.052859772,0.05242257,0.05204974,0.051490325,0.050462525,0.04883189,0.046840236,0.045367077,0.045964822,0.050189447,0.057861377,0.066300444,0.07126657,0.07010338,0.06365578,0.05682935,0.0568945,0.07062455,0.10009301,0.14001246,0.17984001,0.21003693,0.22705026,0.23349768,0.23408873,0.23272204,0.23082314,0.22845314,0.22501929,0.22117333,0.21857464,0.21877928,0.22456938,0.24108367,0.27835667,0.33724323,0.4050231,0.45165431,0.45915937,0.42954388,0.3884071,0.3560643,0.34047222,0.33555725,0.33497274,0.33514002,0.3351514,0.33490762,0.3347566,0.3359133,0.33911964,0.3442165,0.34960914,0.35330865,0.35386276,0.3516128,0.34842172,0.34694543,0.3493038,0.35681763,0.36765873,0.37598598,0.37238955,0.35117185,0.3149666,0.27498367,0.24256842,0.22298981,0.2141493,0.21122919,0.21056412,0.2107694,0.21150452,0.21247171,0.21452908,0.22192645,0.24319996,0.2841897,0.33888474,0.38652512,0.4053779,0.39029706,0.35671988,0.32930693,0.32488027,0.34967622,0.39467537,0.44193447,0.46554938,0.45350298,0.41191307,0.36512193,0.33212724,0.3195508,0.32123998,0.3300804,0.34159717,0.35335568,0.36284426,0.36758813,0.3671852,0.36353806,0.35985473,0.35859075,0.35988975,0.36205316,0.36235642,0.35983714,0.35644308,0.35743546,0.36790693,0.38542214,0.39848188,0.39047202,0.35594213,0.30379686,0.25373328,0.21881473,0.2014824,0.19580293,0.19640191,0.20063494,0.20684029,0.21292765,0.21664916,0.217598,0.2168294,0.21627927,0.21713567,0.21990664,0.22381695,0.22771847,0.23008205,0.2325859,0.24063651,0.26426867,0.30591595,0.35606742,0.39060572,0.3934108,0.36495063,0.3258377,0.29481444,0.28049055,0.27866343,0.28291404,0.28841946,0.29313937,0.29635322,0.2981451,0.2993187,0.30038974,0.3014927,0.30175102,0.30049756,0.29736003,0.29347718,0.29031846,0.29017946,0.29493073,0.30686685,0.32430115,0.34050933,0.3424623,0.32162333,0.27946115,0.23054975,0.19052005,0.16922659,0.1664422,0.17715786,0.19413622,0.21081407,0.22268854,0.22849162,0.23186587,0.24003892,0.26394036,0.3066105,0.3591111,0.39736524,0.40450108,0.3800021,0.34535944,0.32350004,0.3298289,0.3613665,0.40149117,0.42507914,0.41623175,0.3783823,0.33195433,0.29709676,0.28109562,0.279797,0.28599074,0.29527298,0.30457005,0.31108528,0.3123777,0.30849704,0.30200216,0.2971302,0.2969688,0.30198386,0.3094329,0.31647524,0.3220111,0.32860455,0.33960286,0.3577172,0.37903854,0.39467537,0.39223865,0.36823294,0.32892802,0.28915343,0.25929064,0.24258079,0.23547691,0.23360144,0.23385717,0.23408248,0.23331888,0.23120798,0.22896343,0.22777916,0.22882427,0.23184927,0.23611586,0.23997061,0.24241956,0.24271774,0.24313076,0.24954672,0.2722348,0.31668857,0.37531862,0.42493108,0.442813,0.42367747,0.38384542,0.3462385,0.32398906,0.3169384,0.31845132,0.32279742,0.32653108,0.3278707,0.3265212,0.3236222,0.3209671,0.31947687,0.31895986,0.31865218,0.31810105,0.31740943,0.3166724,0.31650487,0.3184806,0.3263322,0.3427277,0.3663069,0.38919878,0.40254882,0.40229523,0.39259002,0.38111234,0.37330493,0.36952755,0.36702728,0.36371174,0.35967186,0.35676435,0.35584453,0.3570319,0.36135507,0.37386927,0.39892504,0.43272427,0.45972148,0.46285185,0.4382608,0.39868465,0.3654392,0.3540926,0.37173343,0.41027817,0.45145944,0.46951243,0.45395514,0.41302606,0.3706884,0.34262708,0.33126897,0.3281498,0.326238,0.3230288,0.31928143,0.31628656,0.31479463,0.31819156,0.33305478,0.36603037,0.41190508,0.45160827,0.46105132,0.43353114,0.38334987,0.3375316,0.31402007,0.31878248,0.34317228,0.37367642,0.3918799,0.38930342,0.36773494,0.34326947,0.33156475,0.34557,0.38386407,0.43209973,0.46376815,0.4607133,0.42464384,0.37767327,0.34443113,0.3396165,0.36564085,0.4119195,0.4587804,0.48175552,0.47109687,0.43485114,0.39589253,0.37174216,0.3722309,0.39696512,0.43925086,0.4830904,0.51081336,0.5140874,0.50031203,0.48496047,0.47912276,0.4838004,0.4939569,0.5040605,0.51159596,0.51556915,0.5166659,0.51567173,0.5146153,0.51480055,0.5172828,0.52154565,0.5266533,0.53035927,0.53061944,0.5260037,0.5174801,0.5068468,0.49608943,0.48573768,0.47628617,0.4679241,0.46183923,0.45865405,0.45889604,0.46134937,0.46438298,0.46567214,0.46395764,0.45895687,0.45208204,0.44549298,0.44085336,0.43816543,0.43445382,0.42465195,0.40259078,0.3651817,0.31435195,0.2573901,0.20282537,0.15655749,0.120019056,0.091515,0.06874684,0.05042215,0.03633542,0.026484476,0.020334,0.016815336,0.014783484,0.013434389,0.012367342,0.011437914,0.010591804,0.009796724,0.009022216,0.008249063,0.007471292,0.0066957343,0.0059414296,0.005228369,0.004571429,0.003969967,0.0034146656,0.0028979357,0.0024256946,0.0020138666,0.0016740272,0.0013984108,0.0011611853,0.000936723,0.0007245668,0.0005564211,0.00047856817]