[0.11446409,0.13088259,0.16616775,0.2104994,0.25260037,0.28606316,0.30661413,0.31606305,0.31771588,0.3192414,0.3234948,0.33038977,0.33538756,0.34050882,0.3510441,0.37001088,0.3896226,0.39701077,0.38648403,0.36231363,0.3343793,0.30719128,0.28133246,0.25521424,0.22950406,0.20534281,0.18341209,0.16448243,0.14925046,0.13835917,0.13009913,0.12220964,0.11406826,0.10866026,0.11092914,0.12258502,0.14146252,0.16159068,0.1801718,0.19565105,0.20863198,0.21573596,0.21511008,0.20606954,0.19362879,0.1818967,0.17430204,0.16992323,0.16760516,0.16430384,0.15856075,0.14922076,0.13879192,0.12987594,0.12498683,0.12308227,0.12311805,0.124391116,0.12762602,0.13157202,0.1334231,0.13044901,0.122864306,0.11349341,0.10579378,0.10201725,0.102116674,0.10445682,0.106520616,0.1065186,0.1034983,0.09749932,0.08962581,0.082046896,0.07767295,0.07762327,0.08090501,0.08385099,0.08392897,0.079918414,0.07391868,0.0678015,0.06340977,0.06022091,0.057728857,0.055260178,0.05278648,0.050405484,0.048005927,0.046017274,0.044796202,0.045582544,0.049743023,0.05729652,0.06551796,0.0690059,0.064909495,0.054444592,0.04305819,0.03474084,0.030956134,0.030497128,0.031782385,0.033335757,0.034008864,0.03379791,0.03335743,0.03360686,0.034183446,0.034206104,0.033392023,0.033077534,0.03571777,0.041820694,0.04941347,0.053853065,0.053605154,0.050630808,0.050956856,0.056609984,0.06519652,0.06928935,0.06529838,0.05398721,0.041251346,0.031080684,0.025131663,0.021957068,0.0210633,0.022906369,0.029184788,0.03913853,0.049927164,0.056896117,0.05841844,0.055574555,0.051123988,0.04626757,0.040617634,0.034575555,0.03002684,0.030670771,0.038094282,0.05011974,0.06065467,0.06410596,0.060425747,0.054452613,0.05309999,0.057593267,0.06474862,0.06748324,0.06334422,0.053793162,0.0444677,0.038721655,0.037068907,0.037292082,0.037368253,0.03670242,0.035879433,0.035756204,0.0362274,0.03704736,0.03952014,0.048467327,0.06917614,0.10179702,0.13721208,0.16179436,0.16732574,0.15626144,0.13909937,0.12435225,0.11533195,0.10880514,0.101711445,0.09193411,0.08120164,0.07190197,0.06651315,0.06571133,0.06825835,0.072043516,0.074518465,0.07522383,0.07490612,0.076033436,0.07979241,0.086649455,0.09552148,0.10591683,0.117714524,0.13109075,0.1450064,0.15680812,0.16405714,0.16597708,0.16455191,0.16203707,0.15997456,0.15783817,0.15465601,0.14947055,0.14263935,0.13534877,0.12934482,0.12564157,0.12430181,0.12402713,0.12319246,0.12024004,0.11484773,0.107830256,0.100934155,0.0958651,0.09323928,0.092441835,0.091844164,0.08998833,0.086679004,0.083070904,0.081656165,0.083001554,0.086390175,0.08877706,0.08985693,0.08988381,0.08986479,0.087781966,0.08196566,0.073129214,0.06473125,0.059610233,0.057306096,0.055990115,0.0551895,0.05670379,0.06226867,0.07140071,0.08218032,0.092924505,0.1034458,0.11383429,0.12310916,0.12865631,0.12725966,0.11797371,0.103941955,0.09214742,0.08860613,0.094295144,0.10435438,0.11272418,0.117003076,0.12008142,0.12673885,0.13844006,0.15012221,0.15420805,0.14753863,0.13730751,0.13439389,0.14541496,0.16471611,0.18256688,0.1905865,0.1893486,0.18241404,0.17552936,0.17142242,0.17138642,0.17347288,0.17504649,0.17380767,0.16944373,0.16388209,0.16112088,0.16524448,0.1770613,0.1917847,0.20286267,0.20652609,0.20492642,0.20102699,0.19570552,0.18658245,0.17324589,0.15830177,0.14669253,0.1414418,0.14338595,0.15120615,0.16353299,0.17896853,0.1968661,0.21582359,0.23142655,0.2362159,0.22350995,0.19438146,0.15745641,0.124379255,0.1013185,0.08918279,0.08542652,0.089175425,0.10009328,0.118724726,0.14331318,0.17027478,0.19278152,0.20570542,0.20669091,0.19906026,0.18640983,0.17288296,0.16068105,0.15318765,0.15233183,0.15858744,0.1692762,0.18086924,0.18985175,0.19461738,0.19417225,0.18866979,0.17781313,0.16372664,0.15038887,0.14473857,0.15159528,0.17161833,0.19931956,0.22667606,0.24597521,0.25236487,0.24451238,0.22475916,0.1981337,0.17057465,0.14712141,0.13181946,0.1260038,0.1281871,0.13267116,0.13403094,0.12889011,0.11881361,0.107118696,0.09695358,0.08935303,0.08347913,0.0788449,0.07524928,0.07392097,0.07480251,0.07724091,0.07926308,0.07996506,0.079511754,0.07879119,0.07830108,0.07746028,0.07585421,0.07310801,0.0698437,0.066402696,0.06343112,0.06106283,0.059483465,0.058368932,0.05726625,0.05557382,0.052986473,0.04967342,0.0463691,0.044051677,0.043263737,0.043620396,0.044347778,0.045561146,0.049572963,0.06041376,0.081317395,0.11167896,0.14522384,0.17311186,0.18827052,0.19057898,0.18561296,0.18186714,0.18562233,0.19995159,0.22397822,0.2545949,0.28737685,0.317968,0.3413885,0.3510768,0.3412175,0.3107516,0.26729557,0.2236249,0.19258563,0.18184322,0.19304906,0.22254305,0.2628449,0.30593726,0.34473577,0.37346363,0.3854617,0.37496528,0.34076944,0.28962055,0.23440279,0.18897836,0.16373123,0.16156322,0.17828803,0.2040899,0.23038948,0.25167966,0.26506975,0.2662615,0.25102854,0.21985997,0.1805874,0.14663903,0.1301791,0.13738194,0.16450103,0.20108981,0.23542176,0.26191247,0.28123188,0.29528427,0.30223054,0.2972857,0.27921498,0.25334024,0.2313144,0.22473115,0.23982368,0.27291107,0.31312418,0.34958184,0.37731025,0.3959017,0.40271163,0.39146468,0.35685253,0.30284318,0.2435171,0.19781089,0.18017054,0.1935576,0.22894578,0.2707434,0.30550706,0.32663372,0.33219814,0.3219856,0.2960063,0.25798136,0.21574442,0.17943043,0.15814406,0.15626137,0.17233412,0.19882254,0.22605745,0.24576163,0.25184003,0.24068958,0.21162945,0.17082076,0.12912355,0.097491436,0.08009074,0.075950556,0.08261631,0.100211024,0.12822364,0.1634344,0.19802362,0.22313602,0.23155779,0.22221453,0.20006458,0.17428887,0.15269077,0.13998799,0.13691925,0.14202218,0.15139516,0.16076899,0.16676085,0.16809754,0.1641164,0.15440409,0.13965376,0.12272543,0.10799437,0.098710485,0.0959303,0.09796864,0.101947896,0.10450428,0.103661545,0.09932673,0.09340987,0.08839572,0.085825644,0.08565209,0.08587863,0.08496505,0.08270811,0.08182032,0.084192604,0.08917397,0.0923883,0.09027753,0.08274028,0.07403972,0.06827723,0.06728091,0.068343244,0.06875346,0.06633358,0.06288807,0.05955853,0.057254862,0.054252535,0.050547257,0.047577556,0.04833296,0.05289267,0.057940703,0.05810445,0.051602706,0.0419934,0.037153408,0.043020856,0.059999604,0.08239085,0.10295688,0.11689364,0.12275663,0.12025535,0.10932153,0.091610484,0.07246607,0.058598403,0.05450392,0.060099322,0.07273825,0.08976694,0.10922176,0.12914725,0.14607768,0.15509897,0.15156597,0.13444574,0.10946361,0.08612817,0.072781645,0.070528924,0.07550766,0.08252817,0.0901062,0.098781735,0.10892799,0.11700576,0.11778423,0.10741079,0.088585936,0.0685418,0.05507724,0.050632164,0.0532224,0.058756817,0.06464425,0.06937695,0.07265789,0.074242994,0.074297324,0.07319805,0.0724894,0.0746359,0.08090726,0.089642815,0.096609734,0.09905081,0.098103374,0.09881722,0.10692755,0.12466025,0.14816236,0.16668712,0.16944367,0.15189312,0.12165312,0.091228314,0.07117016,0.062438298,0.06128787,0.06293173,0.06682841,0.074961804,0.08967239,0.1095047,0.12662569,0.13127668,0.1182037,0.093801655,0.06979274,0.055855174,0.051907953,0.053341154,0.05542897,0.057558518,0.060837794,0.06691074,0.07642767,0.088196896,0.099937595,0.10963476,0.11807939,0.12673952,0.13550352,0.14071201,0.13799262,0.125782,0.10696181,0.0872313,0.07151795,0.06244205,0.061019246,0.06888857,0.08784554,0.11728258,0.15152238,0.18117721,0.19739652,0.19590253,0.17867176,0.15187462,0.12404111,0.102203965,0.09001329,0.08536968,0.08218098,0.07492035,0.06297165,0.051876795,0.047818605,0.053761363,0.06623835,0.07971663,0.08876998,0.09256873,0.092983745,0.093473345,0.09478167,0.09481335,0.09036997,0.08032123,0.06744716,0.056158256,0.05052411,0.05043183,0.053299103,0.05452794,0.05271001,0.0484045,0.04480739,0.042698715,0.04169147,0.0394417,0.03558709,0.030482216,0.02602046,0.02308279,0.022772392,0.025174065,0.030502498,0.038066793,0.047732975,0.059744667,0.07497074,0.09342929,0.11360344,0.13260147,0.14692962,0.15351494,0.15007462,0.13654442,0.115361385,0.09196631,0.07234735,0.06200775,0.06285749,0.07318971,0.08727726,0.099095196,0.10473129,0.103473715,0.09638291,0.085647516,0.075138606,0.07010522,0.07352817,0.083667964,0.093987666,0.09964788,0.10068176,0.10316328,0.112329274,0.12911136,0.14713143,0.15817596,0.15569392,0.13983342,0.114961356,0.08853208,0.067842394,0.060430598,0.07086214,0.098364614,0.13503714,0.17008905,0.19482552,0.20594592,0.20501693,0.1958301,0.18266506,0.16832143,0.15623786,0.15189242,0.16379614,0.19729675,0.249337,0.3066926,0.35348368,0.37844062,0.37960264,0.3618251,0.3324332,0.29634157,0.2556347,0.21368699,0.1800294,0.16801302,0.18537706,0.22571845,0.27027988,0.2991868,0.3014769,0.27940014,0.24251384,0.20212622,0.16460133,0.13296704,0.10876576,0.09600833,0.09869216,0.11737851,0.14588512,0.17347924,0.19022532,0.19147171,0.18028055,0.1633427,0.14750786,0.13454127,0.12466678,0.120026015,0.12779081,0.15427841,0.19788349,0.24718308,0.28667036,0.30536714,0.30085707,0.27888885,0.24865668,0.21882063,0.19458145,0.1798502,0.17898034,0.19717075,0.2357475,0.2895914,0.3474847,0.39697036,0.42788827,0.43619442,0.42418948,0.39989066,0.3719314,0.34710166,0.32963505,0.32238933,0.32655528,0.3394902,0.35546252,0.36632693,0.3642985,0.34314486,0.30158558,0.24487986,0.18372844,0.12899257,0.08719975,0.059135944,0.042207915,0.032867987,0.028296389,0.026884576,0.028389847,0.033503357,0.041902337,0.051385283,0.057711493,0.05831715,0.053545337,0.04733553,0.04304494,0.041934818,0.042223528,0.041930944,0.040417362,0.038800567,0.038092688,0.037825573,0.036480073,0.033979878,0.032790333,0.037108622,0.04841603,0.06458147,0.079978526,0.09096294,0.09611408,0.09724748,0.096370675,0.09690439,0.10236473,0.114628315,0.13152958,0.14763504,0.15934113,0.167062,0.17502446,0.18574506,0.19828112,0.2077638,0.20996797,0.20397477,0.19400692,0.18550037,0.18135445,0.1794158,0.1772847,0.17678379,0.18569423,0.21129711,0.2544535,0.30658934,0.35426235,0.3848729,0.3934259,0.38337362,0.36416665,0.34394827,0.3268607,0.31415343,0.30873212,0.3150981,0.33572042,0.36653045,0.39698496,0.41442442,0.41089717,0.38761392,0.35403606,0.32167813,0.29762462,0.28355375,0.27936712,0.28646135,0.30637535,0.33720347,0.37178138,0.39905623,0.4079176,0.3927952,0.35733643,0.3139226,0.27656725,0.25497174,0.25225362,0.2675912,0.29832515,0.34015557,0.38659656,0.4285716,0.45526347,0.45794153,0.4339998,0.39054444,0.34010753,0.29590657,0.2654575,0.2511639,0.25020185,0.25784898,0.26857108,0.27869406,0.28542292,0.28547823,0.27553278,0.25430232,0.22586685,0.19620655,0.17212093,0.15740208,0.15598129,0.16886032,0.19498032,0.22847831,0.2625101,0.2894579,0.3031541,0.29914114,0.27778104,0.24502133,0.20927317,0.17735876,0.15289961,0.14045303,0.14553101,0.17208864,0.21581002,0.26589277,0.3096712,0.3397247,0.35414097,0.35435382,0.34223557,0.31923828,0.28848544,0.2560829,0.23307139,0.2302453,0.25297892,0.29456642,0.34112248,0.378189,0.39929244,0.40343595,0.39231014,0.36568168,0.32486016,0.27410522,0.22312164,0.18308769,0.16153282,0.15721738,0.1600535,0.15889098,0.14799523,0.13044061,0.11222589,0.09825959,0.090664096,0.09021103,0.09687939,0.106586345,0.11299855,0.10909712,0.09486074,0.07528861,0.05865203,0.048589457,0.044814777,0.043757144,0.04305439,0.041583166,0.039709788,0.038062412,0.0371901,0.038020775,0.04258201,0.055169564,0.079137325,0.112753056,0.1463403,0.16786976,0.17166738,0.16200738,0.1488931,0.1399696,0.14058582,0.1561314,0.19350117,0.2532659,0.32291922,0.38016474,0.40522698,0.39464724,0.3595505,0.3171201,0.2769688,0.24138586,0.20839751,0.17967634,0.15883003,0.15006381,0.1541998,0.16967602,0.19168083,0.21325111,0.22643717,0.22680724,0.21588428,0.20035559,0.18699546,0.17901652,0.17548232,0.17417155,0.17396665,0.17588997,0.18131815,0.18962611,0.19683582,0.19776879,0.19013178,0.1760862,0.16055323,0.147411,0.1392562,0.1385014,0.14774226,0.16731225,0.19297113,0.21710853,0.23151375,0.23021333,0.21185102,0.1804809,0.14567967,0.11620489,0.09745586,0.089459695,0.09340776,0.11088365,0.14290635,0.1841734,0.22539413,0.25595424,0.268792,0.2618744,0.23879689,0.20691188,0.17368947,0.14490224,0.12455398,0.115271844,0.11609558,0.12114326,0.12283953,0.11754045,0.107927404,0.099571556,0.096427925,0.09950349,0.10850047,0.121615864,0.1347261,0.1409329,0.13549845,0.11916608,0.09879937,0.082017906,0.073017,0.07155472,0.0751324,0.0822475,0.09345615,0.111134976,0.13523968,0.16139005,0.18126488,0.18981129,0.18804757,0.18252474,0.17785005,0.17511308,0.17261125,0.1703493,0.16967815,0.17216487,0.17736806,0.18331696,0.18738699,0.18846418,0.18647844,0.18222772,0.17500985,0.1649672,0.15309411,0.14261355,0.135566,0.13226348,0.13123596,0.13081384,0.13038306,0.13019828,0.13159251,0.13527338,0.1401978,0.1437691,0.14348584,0.13977689,0.134567,0.12998085,0.12584536,0.121796094,0.118562974,0.11723897,0.117539965,0.11616635,0.1111083,0.10256674,0.095208995,0.09334145,0.10036344,0.11493954,0.13364525,0.15072125,0.16352153,0.17071138,0.1738608,0.17264326,0.16823392,0.16154051,0.15570678,0.15219116,0.15160781,0.1527139,0.15466627,0.15695773,0.1599686,0.1632517,0.16497737,0.16179878,0.15218222,0.1375821,0.122473955,0.11075502,0.10443487,0.10287713,0.10415884,0.10595872,0.10721298,0.108263485,0.110049196,0.11201643,0.1123975,0.10944808,0.10337616,0.09587189,0.08923355,0.085841514,0.08805338,0.098174416,0.11687396,0.14241971,0.16968507,0.19141273,0.20123832,0.19707005,0.18285619,0.16556428,0.15209965,0.1466912,0.15106662,0.1642726,0.18266837,0.20128961,0.21546303,0.22159477,0.21680234,0.19976157,0.17311563,0.14388295,0.121186905,0.11201153,0.11954242,0.14222631,0.17535812,0.21166019,0.24461024,0.26862925,0.27997875,0.27568987,0.25548252,0.22266096,0.18469544,0.15137942,0.13275293,0.13429384,0.15435912,0.18372922,0.2122125,0.23308045,0.24459584,0.24638648,0.23753518,0.21762542,0.18901764,0.15838854,0.1353621,0.12850146,0.14024305,0.16477132,0.1920023,0.21414776,0.22920235,0.23861773,0.24291097,0.24017633,0.22834562,0.20949161,0.19173695,0.18784483,0.20705235,0.24910967,0.30179977,0.35038614,0.38427272,0.40081736,0.3993934,0.37955582,0.34123352,0.28895536,0.23220609,0.18417072,0.15747833,0.15881896,0.18500006,0.22361799,0.26123238,0.2894455,0.30677196,0.31256354,0.30549017,0.28485444,0.25544634,0.2259705,0.20570336,0.20010734,0.2099723,0.23124963,0.25619224,0.27686414,0.28777066,0.28756413,0.27551505,0.25192836,0.21800433,0.17966403,0.14425503,0.11876305,0.1061753,0.10739153,0.12107038,0.14392407,0.1704936,0.19466366,0.21197033,0.21914543,0.21527742,0.20060398,0.17874147,0.15342973,0.12933303,0.10952496,0.09788508,0.09642678,0.10490177,0.11913171,0.13334472,0.14243948,0.14300913,0.13426493,0.11720427,0.09580264,0.07431739,0.056591544,0.043560583,0.03488232,0.02940845,0.026447073,0.025524838,0.026314093,0.028710762,0.032547746,0.037669953,0.043424085,0.04867745,0.051782716,0.051573474,0.047984187,0.042160247,0.03544019,0.029030303,0.024008289,0.021467483,0.021951174,0.025077924,0.030067876,0.035948027,0.041667555,0.04542932,0.04563783,0.041783113,0.03559837,0.030286863,0.028961593,0.03276814,0.039964214,0.047244515,0.051899433,0.054571245,0.059246074,0.07125169,0.093516715,0.12443773,0.15868217,0.19057976,0.21747202,0.24046172,0.26129913,0.27874565,0.28803703,0.2850537,0.2708517,0.25197813,0.23683144,0.23168947,0.2383318,0.25438103,0.27452856,0.29453754,0.3122127,0.32613695,0.33171478,0.3221116,0.2932535,0.24866773,0.19924007,0.15792572,0.13496637,0.13388187,0.1517723,0.18055518,0.21229862,0.24106646,0.26320896,0.27405974,0.2689066,0.24582301,0.20912038,0.16841428,0.13512748,0.11783729,0.11857182,0.13225512,0.14954896,0.16253208,0.16715674,0.1622997,0.14747094,0.12318107,0.09341466,0.065061264,0.046302404,0.04347058,0.06043017,0.095957994,0.14296307,0.19009334,0.22757524,0.25067884,0.25911203,0.25405005,0.23749518,0.2134373,0.18829466,0.16961487,0.16404735,0.17439519,0.19816017,0.22757232,0.25436714,0.27290547,0.28128406,0.27865413,0.26427028,0.23900749,0.20672901,0.1744808,0.14955878,0.13740511,0.13859582,0.14940041,0.16343497,0.17601651,0.18456216,0.18713778,0.18042012,0.16192222,0.1337037,0.103084534,0.079262756,0.06844541,0.07145354,0.08454117,0.10220635,0.12012655,0.1355791,0.14560091,0.14598197,0.13420606,0.113676935,0.09339276,0.081120975,0.077570885,0.07706306,0.07454991,0.069731176,0.06580707,0.06472256,0.065321594,0.06451128,0.060354415,0.05362117,0.04833572,0.04933365,0.059796277,0.07810197,0.09838822,0.113044105,0.11766035,0.11417836,0.10932038,0.10905255,0.11222667,0.1118702,0.10126236,0.08172465,0.061537478,0.049662635,0.048214305,0.051973026,0.05344752,0.04877837,0.040128868,0.0326519,0.030194724,0.032381475,0.03571227,0.036973592,0.035315935,0.03264846,0.030990025,0.03125387,0.032019947,0.031523436,0.028925842,0.025786286,0.02423734,0.02527452,0.027877184,0.031313445,0.037047636,0.048679963,0.068950646,0.09764489,0.13059153,0.16209051,0.18686646,0.20358531,0.2136422,0.22034281,0.22531688,0.22943659,0.23093575,0.22694868,0.21361212,0.19165201,0.16582318,0.14324453,0.12654738,0.11453661,0.10367927,0.09256726,0.08130443,0.07098042,0.06198661,0.054468885,0.048444737,0.044097003,0.041419853,0.04012349,0.03993765,0.04068056,0.04226237,0.044036467,0.04510632,0.04492113,0.043997448,0.043563753,0.044201966,0.04575115,0.047589872,0.050235584,0.05468497,0.061568905,0.0702069,0.078670956,0.08551083,0.08944813,0.09117786,0.09161226,0.09269145,0.09410987,0.09457702,0.09223341,0.08841872,0.08640436,0.08917192,0.09581757,0.102950186,0.10760304,0.11021016,0.113477916,0.11921141,0.125024,0.12539403,0.1158973,0.09826773,0.07931613,0.06653517,0.062708884,0.066448726,0.07427114,0.08301786,0.089338146,0.09033366,0.085128404,0.07711624,0.07273016,0.0773594,0.0902833,0.10464605,0.112209715,0.11096066,0.106301166,0.10623649,0.112564854,0.11902977,0.11673242,0.10233251,0.081069045,0.061397552,0.049188048,0.04393241,0.042352486,0.041023806,0.039228644,0.037443943,0.036835138,0.037774194,0.040226918,0.043939065,0.04887343,0.054436225,0.05877878,0.06007115,0.05940564,0.06187172,0.07359228,0.09590629,0.123566724,0.14758809,0.16277508,0.1707118,0.17803545,0.18886058,0.20063984,0.2048751,0.19463108,0.17064685,0.14266406,0.12226987,0.115063846,0.11734659,0.12143042,0.12172664,0.11743733,0.11009707,0.10263989,0.09932462,0.1053217,0.122313865,0.14533003,0.16430824,0.1711386,0.16584876,0.15644847,0.1523257,0.1562757,0.16251379,0.1613311,0.1478485,0.1256008,0.1038904,0.089124374,0.080577075,0.072364636,0.06088577,0.048502143,0.040674586,0.039989028,0.043207336,0.044662952,0.04083106,0.032951746,0.024628093,0.019569753,0.01986234,0.026468188,0.038289268,0.052274466,0.065113924,0.07694507,0.09218974,0.115632616,0.14661749,0.17781556,0.20007743,0.20971453,0.2105058,0.2097478,0.21070905,0.21059664,0.2038451,0.18965657,0.17351545,0.16333757,0.16127221,0.16200887,0.15797524,0.14774333,0.13745445,0.13452893,0.14134617,0.15510114,0.17236142,0.1903432,0.20522742,0.2112955,0.20491038,0.1892532,0.17405681,0.169644,0.17854007,0.19372773,0.20353083,0.201288,0.18869011,0.1729414,0.15958881,0.14970575,0.14089124,0.1307909,0.1189405,0.10735822,0.09895366,0.096015446,0.098186105,0.1031602,0.107194275,0.107293196,0.101527065,0.09072942,0.07881379,0.07292449,0.08047539,0.10403019,0.13772942,0.16904467,0.18804683,0.19479515,0.19882585,0.20853549,0.22200926,0.22759666,0.21479674,0.18521146,0.15391995,0.13832915,0.14532252,0.16577943,0.18452013,0.19104534,0.18662818,0.17721127,0.16960196,0.16749115,0.17541803,0.19463073,0.22000249,0.23807682,0.23725145,0.21958224,0.20288955,0.20751058,0.2381217,0.27901566,0.3053771,0.3020636,0.27140918,0.22842212,0.18712617,0.15336795,0.12580644,0.10398376,0.092166804,0.096109115,0.116443455,0.14545731,0.1712659,0.18347521,0.17756669,0.15573564,0.12647533,0.10260277,0.09495998,0.10617455,0.12680067,0.14255118,0.1433375,0.13143702,0.116739936,0.1095547,0.1132175,0.12620737,0.14534628,0.16803704,0.18980534,0.20321512,0.20075971,0.18038835,0.14823462,0.11519451,0.09132337,0.08304592,0.09313164,0.12070944,0.15754782,0.18976583,0.20276327,0.19266927,0.16802014,0.14636213,0.14134598,0.15595381,0.1810757,0.20449775,0.21985419,0.22912312,0.23706853,0.24169695,0.23513015,0.20958535,0.16881691,0.12556934,0.094004065,0.07890365,0.07661775,0.08131975,0.08991828,0.10199102,0.116707884,0.1326359,0.14705564,0.15669577,0.15827306,0.15078188,0.13598235,0.117571525,0.10013149,0.089073,0.088399656,0.098268576,0.112657644,0.12432495,0.12791169,0.12344644,0.11264341,0.09858304,0.08475257,0.07552281,0.07459575,0.0835312,0.1018829,0.12669885,0.15242432,0.17300464,0.18561834,0.1933357,0.20145275,0.21260683,0.22305702,0.22572136,0.21562207,0.19521718,0.17301251,0.15734206,0.14932336,0.14340542,0.13293284,0.11692306,0.09927135,0.0855349,0.078319095,0.07792371,0.08259103,0.089670055,0.095732205,0.098095514,0.09663439,0.0932709,0.0910202,0.09167599,0.09617102,0.104072236,0.11468121,0.12684931,0.13958086,0.1514607,0.16082557,0.16614254,0.16734886,0.1657296,0.16331714,0.16105624,0.15886092,0.15574645,0.15138336,0.14639348,0.14232741,0.14045809,0.14053321,0.14094903,0.13959505,0.13594437,0.13107291,0.12745489,0.12701736,0.13028245,0.13537514,0.1395049,0.14141208,0.14417587,0.15371014,0.17501713,0.20774497,0.2466706,0.28391734,0.3137385,0.33444157,0.34894195,0.35947046,0.36360598,0.35458872,0.3292756,0.2944019,0.2641051,0.2505996,0.2558712,0.27255198,0.29042962,0.30398044,0.3143916,0.32565472,0.33831033,0.34593657,0.3391489,0.3129632,0.2727435,0.23198599,0.20491453,0.1975136,0.20461643,0.21436572,0.2180398,0.21611595,0.21535407,0.21890236,0.22158234,0.21403511,0.19287105,0.16294193,0.13344191,0.110866815,0.09807563,0.09607384,0.10422438,0.12056158,0.14020698,0.1594533,0.17452641,0.18389636,0.18555586,0.18095203,0.17562898,0.18020086,0.20434088,0.24923599,0.30461073,0.35496235,0.39207324,0.41933915,0.44437942,0.46635246,0.47344026,0.4534379,0.4074572,0.35397673,0.31867766,0.31754908,0.34606358,0.38260624,0.4044987,0.4027948,0.38456848,0.36155728,0.33821106,0.31023625,0.27340165,0.23212683,0.1992104,0.1877029,0.20091455,0.22939444,0.25646996,0.2691544,0.26432213,0.2469343,0.22492303,0.20716856,0.20283754,0.21863943,0.25229356,0.2932203,0.32743093,0.347674,0.35410917,0.3514618,0.3430899,0.33034316,0.31461826,0.2974527,0.28079578,0.26515147,0.25271112,0.24465273,0.24134804,0.23838617,0.23319608,0.22632445,0.22420508,0.23050654,0.24415392,0.25802925,0.26601905,0.26651725,0.26367626,0.26442298,0.27215847,0.28494307,0.29463243,0.29515564,0.28490686,0.269784,0.25628424,0.24745947,0.23969199,0.22625399,0.20386124,0.1760347,0.15165226,0.1382703,0.13685746,0.14187013,0.14427656,0.13857828,0.12505512,0.11093039,0.10372139,0.10691502,0.11675488,0.12622662,0.12930417,0.12433509,0.114762604,0.10703149,0.108945824,0.12347414,0.14782883,0.17110862,0.18453766,0.18578954,0.18560536,0.19589181,0.22096461,0.24758919,0.2564064,0.2344771,0.1883613,0.13617285,0.09733799,0.08029843,0.085665435,0.10703167,0.13530138,0.15673459,0.16191195,0.15239035,0.1459366,0.16347338,0.21311398,0.27978346,0.33602574,0.36214885,0.35984612,0.34590137,0.33432126,0.32414654,0.30362254,0.26535055,0.2165554,0.17616151,0.15977906,0.16843317,0.18757789,0.20016752,0.19680019,0.18183535,0.1639456,0.15166211,0.14447246,0.13971974,0.132497,0.12317016,0.11322985,0.10550106,0.10078172,0.09923792,0.10169091,0.1098347,0.1255936,0.14923972,0.1799394,0.2161326,0.2550242,0.29061523,0.31308603,0.31415552,0.29147473,0.25213805,0.20689078,0.16671504,0.13799576,0.12300569,0.1196043,0.122193106,0.12511353,0.12436875,0.12122526,0.118779,0.12180946,0.13192515,0.15020895,0.17500986,0.20394109,0.23053102,0.2467521,0.24631856,0.22937803,0.20289965,0.1755641,0.15454926,0.14208283,0.13669282,0.13296522,0.12566894,0.11373997,0.10134552,0.09504316,0.09644305,0.103392415,0.11041015,0.116359405,0.12035701,0.1232889,0.12251412,0.11755911,0.10865492,0.0995616,0.093121044,0.090946995,0.092226066,0.096039146,0.104443796,0.12097496,0.14752644,0.17764981,0.20049466,0.20644969,0.19590597,0.1767266,0.1583187,0.14514919,0.13602936,0.12772478,0.11762116,0.10609276,0.096262164,0.092991434,0.099855594,0.11530515,0.1327263,0.14224793,0.13851915,0.12256542,0.10387225,0.091340564,0.08996767,0.096330464,0.104849845,0.11068749,0.112169944,0.10940573,0.10345745,0.09791041,0.09660413,0.101500034,0.10921932,0.113405354,0.1095495,0.097822405,0.08334144,0.07062445,0.0619338,0.055744108,0.05113631,0.048569158,0.04948623,0.05352399,0.05808261,0.06089109,0.060708705,0.058386087,0.055000324,0.053890627,0.059261203,0.07496792,0.09971068,0.12688951,0.14773484,0.15810801,0.16039707,0.16096665,0.1637284,0.16802363,0.17075986,0.17024429,0.16894977,0.17100394,0.17973016,0.19278754,0.20316952,0.20260783,0.18763669,0.1622258,0.13510536,0.114534564,0.10335956,0.09805406,0.09303355,0.085423894,0.07849695,0.077133656,0.082783066,0.08999223,0.090844035,0.08136979,0.064944394,0.04923063,0.040318303,0.03995539,0.047528073,0.06305108,0.087088786,0.117522456,0.14735201,0.16727233,0.1707666,0.15943749,0.14089823,0.124219716,0.113528766,0.10999748,0.11639448,0.1388224,0.18175471,0.2397267,0.29851803,0.34178865,0.36191642,0.36315736,0.357542,0.35623613,0.3611932,0.3670325,0.36808637,0.3676219,0.37490347,0.39556935,0.4219476,0.4369793,0.42628264,0.3898351,0.3406168,0.2946149,0.26016405,0.235258,0.21316446,0.18795122,0.15881671,0.12792288,0.0997611,0.07759,0.06282983,0.05411069,0.049773913,0.050002042,0.05576551,0.06577066,0.07501409,0.07975134,0.08351821,0.09760413,0.13257246,0.18844616,0.2517725,0.30352834,0.32894495,0.32537335,0.3001916,0.26618293,0.23318131,0.20629191,0.18760933,0.18118721,0.19344026,0.22881205,0.28417894,0.34728098,0.40066588,0.43010172,0.4319588,0.41527173,0.39532092,0.3841602,0.3853607,0.3966687,0.41536948,0.44074473,0.47102055,0.49991086,0.51551795,0.50398123,0.45769736,0.38168323,0.2948251,0.21837378,0.16489239,0.13238169,0.11230451,0.09759056,0.086552836,0.0798747,0.07897795,0.08555573,0.100358635,0.11976125,0.13540243,0.13858074,0.12670137,0.103988804,0.07828949,0.05588193,0.04102942,0.035383325,0.038917836,0.04804949,0.05799767,0.06476476,0.069874845,0.077431194,0.09058031,0.10516167,0.11375772,0.11083271,0.09972701,0.08881446,0.08624896,0.093438774,0.106977426,0.12246243,0.13882555,0.15762447,0.179585,0.20250879,0.22227304,0.23736145,0.25104702,0.2699212,0.29859886,0.33536914,0.3721514,0.39893568,0.40913978,0.4026414,0.38297477,0.35390034,0.31715623,0.27674446,0.24146968,0.22305308,0.22774945,0.25128618,0.2794688,0.29660606,0.29156145,0.26462433,0.22457755,0.18629618,0.16088323,0.15401596,0.16488653,0.19111814,0.229739,0.27684844,0.32519874,0.36418998,0.38268122,0.37575164,0.34898326,0.3168186,0.29410902,0.28764376,0.29586467,0.31234014,0.3319601,0.35127303,0.36883733,0.38260376,0.38813794,0.3792231,0.35231516,0.3127272,0.2741062,0.25136146,0.25193146,0.27308384,0.30625105,0.34347543,0.3817383,0.4218367,0.46334255,0.49954462,0.5195157,0.51547146,0.49060127,0.45651397,0.42585075,0.40371808,0.38746682,0.37111208,0.35202178,0.33421466,0.32457054,0.324621,0.32498065,0.30989006,0.26975527,0.20941953,0.14600062,0.096932806,0.07125122,0.06837232,0.0836896,0.113196485,0.15413766,0.20223479,0.24865115,0.28026173,0.28546366,0.26233026,0.22181876,0.18187456,0.156388,0.14975594,0.15888862,0.17983343,0.20979784,0.24579667,0.28169677,0.30879638,0.31850898,0.30705252,0.27772507,0.24034391,0.20553575,0.18010615,0.16580392,0.1629687,0.17244379,0.19396897,0.22324307,0.2527138,0.27512065,0.2863923,0.2855288,0.27374482,0.25374338,0.22891028,0.20228471,0.17595553,0.15253483,0.13403633,0.12104154,0.11018927,0.097814985,0.082296394,0.06617247,0.052929968,0.04493986,0.042259708,0.04332101,0.045275714,0.04531991,0.0421489,0.03737961,0.03431566,0.035475623,0.040435467,0.046363812,0.050576463,0.052348237,0.052278012,0.05082171,0.047426954,0.042271238,0.036411475,0.032237034,0.031067831,0.033302426,0.037353054,0.04153404,0.04417698,0.0450253,0.04420957,0.042199466,0.039217353,0.035880815,0.033311184,0.03343219,0.039062038,0.052986175,0.07596622,0.10410837,0.12992948,0.14571595,0.14919294,0.14418685,0.1381525,0.13607658,0.13848998,0.14363027,0.15161426,0.16560799,0.18754871,0.21448123,0.2375058,0.24700283,0.23778586,0.21251349,0.17957939,0.14869514,0.12640293,0.114443116,0.11014676,0.10897198,0.10675799,0.10281912,0.098903656,0.09744168,0.097853296,0.09787535,0.09591695,0.09304505,0.09109313,0.09016231,0.08907682,0.08854113,0.092727125,0.107707344,0.13512018,0.16963255,0.19820869,0.20894873,0.19668819,0.16771571,0.13267715,0.10100957,0.07655502,0.061593518,0.058993366,0.07195559,0.10096949,0.1419106,0.18742222,0.22734027,0.2531111,0.26012304,0.25179502,0.23591381,0.22086327,0.21191798,0.21240805,0.22456397,0.24779391,0.27666435,0.30137494,0.31172022,0.30142042,0.27120617,0.22902864,0.18684335,0.15445302,0.13449663,0.12246117,0.111374356,0.098225616,0.0852279,0.07810891,0.08117145,0.09686375,0.12498721,0.16248028,0.20154254,0.23173855,0.24548213,0.24149983,0.22365673,0.19637781,0.1640336,0.1320519,0.10750186,0.09497284,0.09243664,0.092054464,0.08574346,0.0718511,0.054833755,0.0413141,0.034407806,0.033296276,0.035169963,0.037949864,0.04114817,0.04489361,0.049593497,0.055761814,0.064346455,0.07500496,0.084859766,0.089646555,0.08823211,0.08567241,0.0914692,0.11281403,0.14916341,0.19085902,0.2243399,0.23808093,0.22890367,0.20259808,0.17124827,0.14613384,0.13258614,0.12891324,0.12954867,0.1290394,0.12480751,0.11745262,0.11066399,0.10794092,0.11119435,0.11807182,0.124248676,0.12596712,0.124228425,0.12442549,0.1309761,0.14206737,0.1491925,0.14523463,0.13035184,0.11263552,0.101255625,0.09966558,0.10451416,0.107661,0.10399466,0.09247917,0.07769313,0.06350408,0.05296118,0.04652741,0.044405576,0.04542744,0.048017234,0.0507481,0.053453732,0.056840207,0.062225353,0.07280239,0.09190265,0.11978748,0.14887,0.16906224,0.1749972,0.17190307,0.16853714,0.16888054,0.16856591,0.16091399,0.14401256,0.12225776,0.10233721,0.0886723,0.082249105,0.08252185,0.08766786,0.09474792,0.09984958,0.10211199,0.10580134,0.118595384,0.14591497,0.18667269,0.23414014,0.27936164,0.3151274,0.3375635,0.3462046,0.3427795,0.3299956,0.3117643,0.2939751,0.283844,0.28673944,0.3024828,0.32442096,0.34272864,0.34888566,0.33949983,0.31599757,0.28320003,0.24644534,0.21101348,0.18228368,0.16597979,0.16592908,0.1810571,0.20467983,0.22787476,0.24399686,0.25018987,0.2463023,0.23193087,0.20776767,0.17641215,0.14578962,0.12485862,0.119688295,0.12716465,0.13777107,0.14116396,0.13259317,0.1142751,0.09204497,0.073264964,0.06411309,0.0690664,0.08802608,0.116092004,0.14683706,0.1761279,0.20424879,0.23164248,0.25797942,0.2825826,0.30820024,0.33826783,0.3717773,0.39952108,0.41014948,0.40065363,0.3836421,0.37944064,0.40053463,0.43861914,0.47206426,0.4827415,0.471284,0.4505889,0.43271217,0.4164809,0.39310956,0.35588327,0.30995992,0.2706041,0.25375593,0.26475838,0.29316267,0.320972,0.33479515,0.33484825,0.329457,0.3255432,0.3215408,0.31140962,0.2912813,0.2642941,0.23868309,0.22377747,0.22479373,0.24023826,0.26155284,0.27807626,0.2828087,0.27582353,0.26104483,0.24168654,0.21865028,0.19315611,0.1688924,0.15071756,0.14278986,0.14641494,0.15964375,0.17568462,0.18579979,0.18415433,0.1727437,0.15896882,0.14907674,0.14287096,0.13603848,0.12524642,0.11267591,0.10249901,0.097859055,0.09655722,0.0955851,0.092350386,0.08856887,0.08647636,0.08952864,0.09897131,0.115521014,0.13616501,0.15725945,0.17338985,0.18177922,0.18052046,0.17178778,0.15958732,0.14989685,0.1461687,0.14840232,0.15326847,0.15737529,0.15965134,0.16165854,0.1651655,0.16910781,0.16932021,0.16195558,0.1475383,0.13133377,0.1199624,0.11667511,0.12010101,0.12546962,0.12886481,0.12909018,0.12795259,0.12737456,0.12780327,0.12865989,0.13074009,0.13828272,0.15617442,0.1847732,0.21471141,0.23165278,0.22652614,0.20587756,0.18962808,0.1987214,0.24138021,0.3074588,0.37697113,0.4326274,0.4722863,0.50492835,0.5392732,0.5687342,0.5753433,0.54439896,0.48295644,0.41714433,0.37632862,0.37094578,0.3885002,0.40467444,0.4040587,0.38990852,0.37684977,0.37394634,0.37414756,0.36099508,0.32391825,0.26969922,0.2189505,0.19292845,0.19792461,0.22099261,0.23765527,0.23037851,0.19964479,0.16188996,0.1332917,0.119711615,0.11785949,0.12625004,0.14523815,0.17150013,0.1913851,0.19401413,0.18274571,0.18027745,0.20650792,0.26263884,0.32453254,0.36456192,0.36821473,0.34284863,0.3055841,0.27219018,0.25137395,0.24878697,0.26822838,0.3090119,0.3612934,0.41282937,0.4575661,0.49913096,0.5402053,0.57242435,0.5802575,0.5553908,0.50988114,0.4703798,0.46070746,0.48338735,0.51882225,0.5393925,0.52999145,0.49454847,0.44927123,0.40524396,0.36221352,0.31305417,0.25795943,0.20942402,0.18540467,0.19409318,0.22605427,0.26027867,0.2794384,0.27899566,0.26389048,0.23971967,0.2097918,0.17912324,0.15469058,0.14107303,0.13664316,0.13934617,0.1528166,0.18392819,0.23237933,0.28503722,0.32509044,0.34575653,0.3560052,0.3693203,0.38834596,0.40003386,0.38724312,0.3462406,0.29296044,0.25243613,0.24078155,0.2552397,0.28136548,0.30559206,0.32229134,0.3296306,0.32705882,0.31987345,0.3209214,0.3431197,0.38286722,0.42020646,0.43213108,0.41565803,0.38910612,0.37784883,0.38869706,0.40398645,0.395023,0.34903637,0.2806845,0.22107857,0.19292654,0.19452876,0.20496821,0.20245273,0.18188506,0.1558649,0.14215674,0.14724088,0.16198035,0.17170705,0.16860963,0.15549494,0.1376621,0.11874426,0.10261333,0.10012665,0.12500276,0.1822444,0.25831544,0.32699415,0.36855757,0.38485718,0.39659512,0.42139843,0.45525587,0.47151724,0.4449365,0.3748403,0.29201058,0.23421694,0.22030343,0.23888469,0.26727092,0.2888398,0.30009225,0.30027246,0.2919474,0.28440484,0.29714513,0.34298167,0.41340768,0.4766984,0.5025852,0.4860089,0.45299378,0.43655244,0.4484932,0.46968076,0.468686,0.43099403,0.370204,0.31630442,0.2875836,0.27888504,0.26849422,0.24232994,0.20532139,0.17592704,0.16628443,0.17138588,0.17386405,0.16023643,0.13077301,0.09671108,0.069994524,0.057165805,0.059739858,0.076040976,0.10158836,0.13101883,0.16220649,0.19907774,0.24666226,0.30417445,0.36127385,0.40469083,0.42702845,0.43091488,0.42299917,0.40506956,0.37261042,0.3218663,0.25877538,0.19805317,0.15602839,0.14139499,0.15409385,0.18721825,0.2317517,0.27700362,0.3126643,0.33147502,0.33477905,0.33135512,0.33037448,0.3311374,0.32386228,0.2985274,0.25722966,0.21296604,0.18070763,0.16385275,0.15431441,0.13950609,0.11506327,0.086099625,0.06282409,0.051295564,0.050983757,0.055929244,0.059362054,0.057638496,0.05250478,0.049609784,0.05380973,0.06541377,0.08068805,0.09500895,0.10485778,0.10741815,0.101251036,0.08872759,0.077459335,0.07665548,0.08967548,0.1097238,0.12293842,0.11934046,0.100646555,0.080234624,0.072203994,0.08216175,0.104294516,0.1282625,0.14487185,0.14927709,0.13945632,0.118938774,0.09716954,0.08764514,0.09664296,0.117468335,0.13264473,0.12890711,0.10692815,0.080600366,0.06412298,0.062111426,0.069448955,0.07912106,0.08733273,0.09261494,0.09250135,0.08603763,0.076741666,0.07263803,0.07788671,0.088115,0.09296897,0.08606917,0.07039518,0.054773655,0.045935746,0.044035736,0.04545906,0.046878304,0.047228057,0.046026293,0.04317188,0.03931466,0.036390416,0.035581004,0.036708787,0.0388276,0.04222186,0.04753157,0.05501369,0.06451609,0.07750263,0.096323125,0.12109139,0.14653546,0.16384982,0.16698588,0.15802614,0.14577109,0.1372637,0.1315865,0.121648155,0.103698134,0.08185555,0.066443056,0.066842906,0.08882756,0.13196063,0.18945415,0.24765271,0.29143444,0.3105648,0.30600345,0.2894505,0.27695158,0.277558,0.28677043,0.2909622,0.28135744,0.2636565,0.25321373,0.25950006,0.2747197,0.2795079,0.2585511,0.2148165,0.16656516,0.135038,0.12888952,0.14054638,0.15244313,0.15094663,0.13631222,0.12140522,0.11993607,0.13392313,0.15320504,0.16487743,0.16340728,0.15059663,0.13092303,0.1095734,0.095939904,0.10422277,0.14434235,0.21126704,0.28231767,0.3333095,0.35575044,0.36400774,0.37824687,0.40402105,0.42289427,0.4088844,0.35271546,0.27511695,0.21233334,0.19024707,0.20778479,0.24669595,0.2883136,0.32370815,0.3472185,0.35609087,0.35410023,0.35735175,0.38200364,0.42836452,0.4742309,0.4915779,0.47038296,0.42902827,0.39995453,0.40194774,0.42468682,0.4366125,0.4132239,0.35599613,0.29165775,0.24642996,0.22655113,0.21564758,0.1955234,0.16365874,0.13511346,0.12625831,0.13864106,0.15692596,0.16162972,0.14459783,0.11289363,0.08118214,0.060908947,0.05731331,0.07067579,0.09835922,0.13423245,0.17178746,0.20853005,0.24808161,0.29466388,0.34657755,0.3942568,0.42716148,0.4399767,0.43468198,0.4138392,0.378341,0.3275516,0.26661158,0.2057196,0.15864855,0.13547015,0.14061062,0.17106032,0.21895294,0.27409852,0.3267,0.36956367,0.40156135,0.4279064,0.45648035,0.48743427,0.5118907,0.51658386,0.4982262,0.46582398,0.4364728,0.42057243,0.41532317,0.40617457,0.3794972,0.33382034,0.28170916,0.24073432,0.21967389,0.21306275,0.20530717,0.18454401,0.15153922,0.12025678,0.10586121,0.11400197,0.13728778,0.16289866,0.18037194,0.18443203,0.17357405,0.15189284,0.13258381,0.1361808,0.17676277,0.24855612,0.32430837,0.37542546,0.39286065,0.3950441,0.40786454,0.4399365,0.46877626,0.46034625,0.39834055,0.30525008,0.22448353,0.18996882,0.20187986,0.23857284,0.27596244,0.30245522,0.31201315,0.3036284,0.2841846,0.27543163,0.29966727,0.36030936,0.43029988,0.47153184,0.46407858,0.42472938,0.39067316,0.38813436,0.40940893,0.4221901,0.3995484,0.34364533,0.28383318,0.24947225,0.2474534,0.25902927,0.2608067,0.24347949,0.21642815,0.19464229,0.18516912,0.18292521,0.17821445,0.16570944,0.1478003,0.1302448,0.11846736,0.11625723,0.12737028,0.15294512,0.18987228,0.23065023,0.26947495,0.30546698,0.34286642,0.3846476,0.42835084,0.46566358,0.48765782,0.4897342,0.4725397,0.44043806,0.39892712,0.35432696,0.31176776,0.27466062,0.243074,0.21645783,0.19502635,0.18277632,0.18381292,0.1995774,0.22486167,0.25312826,0.27957317,0.30423644,0.3257096,0.34102106,0.34542748,0.33909646,0.32511285,0.30854478,0.29042196,0.26924118,0.24096476,0.20431705,0.16160247,0.12047925,0.08980755,0.07550608,0.07597011,0.082626075,0.08537313,0.078943394,0.06654222,0.056190345,0.05530165,0.06546697,0.08340179,0.10286399,0.11763837,0.12231793,0.11612158,0.10551124,0.10407404,0.12254324,0.15923995,0.19604713,0.2115304,0.19603308,0.16171163,0.13174614,0.12410609,0.13858347,0.16154923,0.17744486,0.17873763,0.16658579,0.14856589,0.13568468,0.1400575,0.16596691,0.20462604,0.23341662,0.23371302,0.20282196,0.15962084,0.12577389,0.113068186,0.11658096,0.12759985,0.13990267,0.1523747,0.16105495,0.16146111,0.15188405,0.14066464,0.13742739,0.14569418,0.15487392,0.15221024,0.13201575,0.10372021,0.08105811,0.07366857,0.07937161,0.09064866,0.09945472,0.10341518,0.10296988,0.099948734,0.09487173,0.08751597,0.07860843,0.07033879,0.06917891,0.080908775,0.10852734,0.1449418,0.17957611,0.20286302,0.21599704,0.22624795,0.24083722,0.25815907,0.2691003,0.2645391,0.24194483,0.20839246,0.17435502,0.1493328,0.13583022,0.13250627,0.13694455,0.14861381,0.16612767,0.1847124,0.20000921,0.21190184,0.22585528,0.24494135,0.26560524,0.27866995,0.27766433,0.26438907,0.24720736,0.23487324,0.2288887,0.22469608,0.21452715,0.19581318,0.17072009,0.14570144,0.124893814,0.10968483,0.099160604,0.09283951,0.0910489,0.09279586,0.09605973,0.098186724,0.09885826,0.099624455,0.10364187,0.11422462,0.13389467,0.16290216,0.19705558,0.22848634,0.24999833,0.26197603,0.2750704,0.30307737,0.35154364,0.4098855,0.4586053,0.48272693,0.4835995,0.47401318,0.46504974,0.4526448,0.42289457,0.3662304,0.29243422,0.22369926,0.18118526,0.17106867,0.18930446,0.22688536,0.2750305,0.3213676,0.35345307,0.36409724,0.35863963,0.34960726,0.34643126,0.3447353,0.33026883,0.2916266,0.2340104,0.17707478,0.1410553,0.13121049,0.13740724,0.14461386,0.14465885,0.137473,0.12628078,0.113544874,0.10155637,0.09356683,0.091847755,0.09473247,0.096760966,0.093210615,0.08549739,0.08179773,0.0925785,0.12220466,0.16495635,0.20700967,0.23651552,0.25160328,0.26177564,0.27946863,0.31035802,0.34962586,0.38681245,0.4146526,0.4333614,0.44767907,0.4588709,0.46050656,0.44156826,0.3959001,0.32960728,0.25977734,0.20499091,0.17426671,0.16593684,0.17277408,0.18932937,0.211187,0.23376448,0.25287282,0.2677996,0.2802296,0.28934655,0.2898475,0.27657297,0.25061324,0.22060393,0.19559197,0.17916298,0.1677594,0.15738623,0.14754573,0.14128993,0.1406501,0.14507234,0.1537136,0.16638578,0.18247722,0.19746046,0.20491159,0.20048077,0.18600015,0.16813333,0.15379518,0.146958,0.1480164,0.15684366,0.17336325,0.1977915,0.2276427,0.25793025,0.2821846,0.29713058,0.30532262,0.3144994,0.33199152,0.35844254,0.38677084,0.40641773,0.4107181,0.39942256,0.37710118,0.3474191,0.31151554,0.2695641,0.22548766,0.1866789,0.16046552,0.14965834,0.15252559,0.16527164,0.18372636,0.20351766,0.21968317,0.2272336,0.22274138,0.20598416,0.18145859,0.15680002,0.13953553,0.13335659,0.1366948,0.14414747,0.1490467,0.1478578,0.1421057,0.13768612,0.13961188,0.14812356,0.15820603,0.16336446,0.15972985,0.14831641,0.13396324,0.12199733,0.11421955,0.10845244,0.1017183,0.0955118,0.09631238,0.111019515,0.13957329,0.17306094,0.19907008,0.21145941,0.21534084,0.22380483,0.24686225,0.2836856,0.321955,0.3485756,0.35844764,0.35744214,0.3533078,0.34750667,0.3323593,0.2993609,0.24788554,0.18944518,0.14026095,0.11186322,0.10480746,0.11320145,0.13000679,0.15024762,0.16842802,0.18003702,0.18369085,0.18283015,0.18059194,0.1764192,0.16694616,0.15101337,0.13150297,0.11243067,0.09607006,0.082333356,0.071627975,0.06532216,0.06495395,0.06912624,0.0738526,0.075461745,0.07404378,0.07266168,0.072808266,0.07219353,0.067092225,0.057081398,0.045851525,0.03818208,0.0366873,0.04081169,0.048797403,0.058409303,0.06869322,0.07849931,0.08724203,0.093235426,0.09594482,0.095959805,0.09611124,0.0986765,0.103710294,0.10779103,0.106219895,0.0960296,0.078870885,0.060973275,0.050299305,0.0512342,0.0616162,0.07322299,0.078636535,0.077797614,0.0819147,0.1072266,0.16286264,0.24051584,0.3161387,0.3649137,0.3754394,0.35386667,0.3146603,0.27071872,0.229154,0.19334608,0.16530673,0.14556076,0.13267832,0.12453327,0.11975283,0.118092775,0.11826276,0.11829424,0.11641487,0.11339291,0.11080236,0.10896025,0.105363764,0.09698392,0.08366236,0.06879491,0.057173144,0.051060867,0.05079809,0.056467865,0.07013505,0.09197412,0.11724829,0.13624954,0.1423511,0.13817275,0.13539536,0.14442404,0.16605896,0.19014424,0.20529461,0.20738165,0.20218222,0.19806212,0.19894837,0.20194061,0.20153107,0.1935757,0.17657529,0.1511896,0.121471815,0.09593165,0.085913934,0.097655214,0.12677129,0.15803508,0.17763458,0.18151124,0.1771497,0.1721003,0.1680063,0.16112806,0.15012704,0.13732843,0.12567815,0.11471907,0.102520846,0.08914212,0.078327455,0.073881954,0.0761495,0.08102126,0.08500138,0.08827343,0.09423945,0.10298013,0.109524034,0.10685141,0.093270384,0.07414579,0.05907993,0.056271505,0.0698797,0.09990274,0.14330888,0.19451515,0.24533753,0.286814,0.31252158,0.32282126,0.32401446,0.3251523,0.33194247,0.34562114,0.362228,0.37557164,0.37880114,0.36796355,0.34232044,0.30366746,0.25469735,0.2005833,0.1498246,0.11223853,0.09363482,0.09428657,0.11051398,0.1386775,0.17436631,0.21287723,0.24745965,0.27155718,0.2780026,0.263409,0.22966184,0.18606023,0.14332981,0.10964184,0.08684503,0.073626496,0.06737553,0.06740624,0.07359112,0.08635322,0.104611844,0.12742676,0.15234065,0.1752152,0.1886545,0.18736511,0.17206758,0.15103503,0.13258114,0.11981714,0.1107952,0.10547636,0.10978347,0.13112088,0.1709096,0.21929461,0.2614216,0.28600657,0.29406273,0.29625693,0.3052813,0.32543227,0.35040644,0.3687625,0.373613,0.3669988,0.35571447,0.34300783,0.3237007,0.2893311,0.23670977,0.17493461,0.11963504,0.08424944,0.07132096,0.07562202,0.08917246,0.10632459,0.12308123,0.13696305,0.14750554,0.15647227,0.16536845,0.17237554,0.17235512,0.16094969,0.1388889,0.113302656,0.09345391,0.08527065,0.08761668,0.09376555,0.096420735,0.09157478,0.080283284,0.0659234,0.05296116,0.04469262,0.04323033,0.047610074,0.054279115,0.058780994,0.059196085,0.057730343,0.0596944,0.07056316,0.09223956,0.120892584,0.1484567,0.16819131,0.17998402,0.18978705,0.20417951,0.22461884,0.2477895,0.26922414,0.28778818,0.30523643,0.32328966,0.33916524,0.3452293,0.33224437,0.29578915,0.24047951,0.17923205,0.12665312,0.09169843,0.07553021,0.07554646,0.088968076,0.11296465,0.14221963,0.17160074,0.19835557,0.22285992,0.24330597,0.25456655,0.25052702,0.23024243,0.1996873,0.16895247,0.14578302,0.13099298,0.11967081,0.106580414,0.09128642,0.07711063,0.06722261,0.0616626,0.058456708,0.05578142,0.05251971,0.04825619,0.04336746,0.039680872,0.039236456,0.042426374,0.04756306,0.053220857,0.061213344,0.07618206,0.10168759,0.13522625,0.16780154,0.18923616,0.19673468,0.19933404,0.21235406,0.24508266,0.29104677,0.33240983,0.35412872,0.3569856,0.3541392,0.35651883,0.35849014,0.34304917,0.29804888,0.23234844,0.1696753,0.1332099,0.13053505,0.1563124,0.19965404,0.24961872,0.29391727,0.32079393,0.32614008,0.31951365,0.31754765,0.3289871,0.34286174,0.33795968,0.30138072,0.24392338,0.1902402,0.16029167,0.1537997,0.15521204,0.14815159,0.12755121,0.10116448,0.08057791,0.07300832,0.07626311,0.08293861,0.08590449,0.08344272,0.07867613,0.07593637,0.076918356,0.07965542,0.081336156,0.08077154,0.07843008,0.07429829,0.06784996,0.061111387,0.059233297,0.067139156,0.082646884,0.09686903,0.09980976,0.089894705,0.07449397,0.063954584,0.06271166,0.06832862,0.07719497,0.08931645,0.105672814,0.122545086,0.13137001,0.12812631,0.11844916,0.11487589,0.122147314,0.13338827,0.13418223,0.118541084,0.09232217,0.068970986,0.056792263,0.055280536,0.05874313,0.06278304,0.066145934,0.06809179,0.06737333,0.064672686,0.06364518,0.068756275,0.078769706,0.08743026,0.0872956,0.07783327,0.06428078,0.053831946,0.04924439,0.049309086,0.051175673,0.05282176,0.053172816,0.051715106,0.049625397,0.049740583,0.055727404,0.06964753,0.09100902,0.11623194,0.13905583,0.15276605,0.15538602,0.15407515,0.16243716,0.18986706,0.23176415,0.27086595,0.290699,0.28976873,0.28194925,0.28228536,0.28911558,0.28534696,0.25434014,0.20068526,0.14674972,0.11731882,0.12080154,0.14990704,0.18999423,0.22824782,0.2552698,0.26532447,0.259673,0.25066337,0.25725794,0.29136214,0.34264567,0.3832135,0.3875941,0.3574042,0.31881294,0.3012564,0.30909312,0.3204414,0.30653772,0.25879326,0.19492216,0.143443,0.121193945,0.12304157,0.13133912,0.13116784,0.12077189,0.107875176,0.101194285,0.10357656,0.11327249,0.12915863,0.1514377,0.17781967,0.19916445,0.20696785,0.20395374,0.20797758,0.23913105,0.3014216,0.37781906,0.44155052,0.4790901,0.49788046,0.51930493,0.554574,0.593431,0.6080543,0.5784419,0.50980777,0.43370822,0.38251963,0.36781988,0.37488163,0.38306496,0.38089705,0.36986518,0.35326847,0.3368328,0.3302888,0.34849522,0.39559639,0.45683762,0.5027999,0.5131509,0.4919467,0.46580267,0.460224,0.47903308,0.5005865,0.4959657,0.45321536,0.3856175,0.32103646,0.27676573,0.2505864,0.22755307,0.20086217,0.17639963,0.16445398,0.16524993,0.1691461,0.1668062,0.16035055,0.16256563,0.1859597,0.22949946,0.27681452,0.3066539,0.30914593,0.29047465,0.26905414,0.26491562,0.29416397,0.36051986,0.45104238,0.5382643,0.5960663,0.6164997,0.6130506,0.6058443,0.60130984,0.5877826,0.54902595,0.48525485,0.4167358,0.37070218,0.35964882,0.37621677,0.40235135,0.425462,0.44114617,0.44854805,0.44703516,0.443045,0.45121452,0.48397985,0.5339876,0.5756627,0.58386236,0.5587413,0.52532285,0.51325816,0.5275788,0.5439802,0.5275785,0.4649873,0.3762262,0.29991585,0.2627791,0.2610534,0.26811838,0.25759712,0.22449233,0.18485014,0.16068898,0.16088597,0.17706239,0.19358785,0.20051908,0.19708812,0.1855668,0.16886221,0.15482318,0.15984721,0.20178334,0.28280744,0.3828093,0.4676392,0.5162802,0.534211,0.5497861,0.58305603,0.6263976,0.64306265,0.6017239,0.5039435,0.39290047,0.31800187,0.30201423,0.32732514,0.36336216,0.38930666,0.40214488,0.40198007,0.39260235,0.38611612,0.4073241,0.47106767,0.5643379,0.6446197,0.6743102,0.64984345,0.6080363,0.59109735,0.6112351,0.6396234,0.6347806,0.5802729,0.49785843,0.42798755,0.39282012,0.3819214,0.36540374,0.32612082,0.27375823,0.23403855,0.22221927,0.22938938,0.2315284,0.21118605,0.17052461,0.12579079,0.093311064,0.08112689,0.09077478,0.12073662,0.16623805,0.21948795,0.27324066,0.32706583,0.38511494,0.44960237,0.51279885,0.5615115,0.5863007,0.5887106,0.5753003,0.5476697,0.5003187,0.43011427,0.34629044,0.26869085,0.21719684,0.20148219,0.2201124,0.26418433,0.32215425,0.3803904,0.42538103,0.4480983,0.45064795,0.44507492,0.44309488,0.44446898,0.43703052,0.40958047,0.36416757,0.31595922,0.2810676,0.26412284,0.25710335,0.2468598,0.22698443,0.20000885,0.17492034,0.1580926,0.15142389,0.15137963,0.1537859,0.15503089,0.15468504,0.15390109,0.15461124,0.15782802,0.16401576,0.17302032,0.18351144,0.193372,0.20164324,0.2099235,0.2210107,0.23597813,0.2528524,0.2676243,0.2753854,0.27273574,0.25842974,0.23509008,0.20589031,0.17426641,0.14181824,0.11171955,0.08702168,0.07092721,0.06309151,0.061313275,0.062041897,0.06334783,0.06441128,0.065422036,0.06622114,0.06644822,0.065679945,0.06401503,0.062050547,0.06053045,0.059840623,0.05972259,0.05949011,0.058514792,0.056876853,0.05529442,0.054753736,0.0556132,0.057750355,0.06049331,0.063308954,0.06540556,0.066524446,0.067368984,0.07035599,0.078693025,0.093610644,0.113307215,0.13255148,0.14731543,0.1555834,0.15893614,0.15884525,0.15675928,0.1536967,0.15153277,0.15211932,0.15542012,0.15914845,0.16043167,0.15872906,0.15681177,0.15731344,0.15984832,0.15999416,0.15460967,0.14440674,0.13380705,0.12661238,0.123650104,0.12395916,0.12530665,0.12682869,0.12767406,0.12880568,0.12999518,0.13065141,0.12905288,0.12478585,0.118593834,0.11182057,0.105198465,0.09918704,0.09428824,0.09169295,0.09168271,0.093678154,0.09519634,0.094568826,0.09129291,0.08773587,0.08687335,0.09188361,0.103540294,0.12070451,0.13939077,0.15603678,0.16757561,0.17350166,0.173455,0.16870244,0.16147275,0.15569603,0.15425998,0.15701558,0.16095303,0.16287957,0.16266613,0.16264577,0.1645496,0.16658632,0.16473019,0.15684922,0.14482282,0.13291724,0.12438593,0.119949274,0.11861995,0.11838907,0.11767861,0.11605451,0.114911765,0.115801275,0.118156545,0.11958817,0.11730733,0.111234486,0.10304732,0.09564144,0.09064589,0.08824093,0.08704082,0.0851069,0.08179614,0.07768949,0.07469165,0.07339414,0.0736922,0.0741016,0.074139684,0.07336956,0.07227442,0.07088512,0.06981576,0.06959519,0.0705046,0.07186118,0.07235992,0.07146946,0.06977046,0.06895861,0.070371136,0.07407054,0.078312546,0.08040062,0.078801595,0.074093334,0.06863248,0.06439944,0.06224726,0.061857294,0.06251124,0.063332215,0.063482136,0.0626022,0.060872138,0.059086327,0.058101833,0.058440525,0.05979156,0.060998153,0.060875,0.058907762,0.055705592,0.052369464,0.04977802,0.048222218,0.047450047,0.04737513,0.04809658,0.049665183,0.051323656,0.05166569,0.04978807,0.046107356,0.04218032,0.03923368,0.037526857,0.03661302,0.036178093,0.03624943,0.03684744,0.037898336,0.0391874,0.040519048,0.041358482,0.041243825,0.04018819,0.04046647,0.04914098,0.08047225,0.15314557,0.27671534,0.4383503,0.5976884,0.7096236,0.7460111,0.7146359,0.64226264,0.55980414,0.48266217,0.416867,0.36344203,0.32579827,0.30588147,0.30105236,0.30333385,0.3034451,0.2945449,0.27519274,0.2505159,0.23022951,0.2223016,0.22437899,0.22694103,0.2220705,0.2151751,0.21765296,0.23593073,0.26095784,0.2765682,0.27134177,0.24778523,0.21846318,0.19677956,0.1892746,0.19498716,0.20900339,0.22671477,0.2439427,0.25729287,0.26272997,0.25831172,0.24492963,0.2289496,0.21850725,0.2191333,0.22729494,0.2343896,0.23255484,0.22268856,0.20980139,0.20007087,0.19550915,0.19672899,0.20082736,0.20293818,0.1976472,0.18538404,0.17316337,0.17130823,0.18389827,0.20573722,0.22396271,0.22966535,0.22368924,0.21649869,0.21738987,0.2271681,0.23861028,0.24294327,0.23715532,0.22357936,0.20920785,0.19986618,0.20000412,0.2087392,0.22271216,0.23586106,0.24438362,0.24626432,0.24239366,0.23491497,0.22793572,0.22600897,0.23064356,0.23767324,0.23886847,0.22875582,0.20892006,0.18757534,0.17336512,0.17018573,0.17493494,0.18066855,0.18237728,0.18081342,0.18146677,0.18813555,0.19962181,0.20961948,0.21252203,0.20596778,0.19227032,0.17528449,0.1588784,0.14551713,0.13708623,0.13402116,0.1354937,0.1391111,0.14371954,0.14886355,0.15427932,0.15803403,0.1586441,0.15727879,0.15661176,0.15824355,0.16011168,0.15998362,0.15753458,0.15489608,0.1527118,0.14857543,0.14004673,0.12879899,0.12175568,0.12513058,0.1387908,0.15479313,0.16332583,0.1595596,0.14680298,0.13363653,0.12805966,0.1326382,0.14372015,0.15480465,0.16060086,0.15945028,0.15197279,0.1405387,0.12798558,0.118833095,0.116720654,0.12317264,0.13474236,0.14545877,0.14960189,0.14588064,0.13702917,0.12735377,0.11956707,0.11424134,0.11157616,0.11209629,0.1167807,0.12501223,0.13527793,0.1449583,0.15264319,0.15731788,0.15906467,0.15732539,0.15201236,0.14324409,0.1326282,0.12190475,0.11265213,0.10513555,0.09911808,0.09385089,0.08920232,0.08577756,0.085240714,0.08845967,0.0945893,0.10111067,0.10627762,0.11037638,0.11492679,0.121104,0.12806995,0.13380931,0.13518834,0.13054384,0.12002936,0.10681229,0.09451902,0.08628076,0.08262191,0.082620226,0.083988406,0.08538137,0.08591651,0.08575282,0.08438098,0.081784956,0.07843742,0.076299004,0.07704658,0.08099657,0.08642778,0.09093998,0.0929173,0.09191296,0.08859733,0.08445866,0.08215839,0.08458137,0.093255766,0.10713908,0.12282028,0.13612518,0.14337224,0.14302911,0.13653766,0.12817708,0.122607835,0.12238481,0.12762429,0.1383547,0.15673792,0.18574661,0.2261508,0.27334848,0.31942272,0.35534796,0.3752841,0.37703347,0.36399814,0.34304157,0.32193002,0.3041329,0.2885349,0.27087152,0.24883012,0.22291963,0.19789873,0.17957693,0.17269151,0.17688985,0.18657726,0.19391699,0.19371231,0.1863751,0.17694539,0.17099917,0.17145668,0.17575349,0.17841299,0.17334503,0.15932983,0.1397243,0.121084414,0.10824465,0.102549285,0.101912655,0.10289783,0.10274187,0.100453295,0.09717193,0.09507661,0.09618119,0.100723416,0.10714958,0.11204048,0.11228176,0.10636964,0.096331306,0.086551815,0.08164541,0.08390739,0.0909465,0.097565405,0.097548924,0.090181045,0.07936967,0.07290545,0.07486687,0.08464853,0.09625959,0.103402205,0.10284034,0.09634473,0.08861852,0.08302745,0.080103874,0.07816505,0.075686134,0.07176416,0.06621677,0.060231287,0.05610789,0.056594905,0.06250367,0.0722192,0.081386924,0.0853555,0.08174535,0.07327446,0.065766424,0.06351396,0.065276474,0.065879874,0.061546143,0.052785534,0.04372941,0.0381472,0.037960127,0.042409226,0.0491184,0.05464908,0.056128368,0.052967217,0.04738402,0.043306362,0.043294888,0.046847552,0.051068455,0.05364855,0.055220533,0.05732437,0.06065848,0.0629929,0.06302005,0.0602051,0.055893797,0.05017901,0.043592453,0.03720108,0.033280563,0.033209976,0.03614247,0.03948596,0.040631477,0.039164018,0.036578413,0.035318997,0.03669249,0.04092368,0.0465416,0.051445052,0.05330852,0.052067723,0.049837153,0.049381167,0.051599607,0.05507362,0.058483634,0.060519975,0.060842738,0.058328047,0.05388992,0.048936684,0.045526832,0.043865234,0.04404211,0.046506837,0.05120185,0.05624808,0.057953775,0.05488643,0.04853506,0.042953078,0.040385537,0.04143766,0.045307983,0.051961124,0.060150072,0.06736534,0.06994758,0.06710177,0.060794678,0.054870754,0.051247504,0.050190907,0.05081376,0.053050112,0.057295043,0.06439348,0.07351897,0.08243858,0.087311685,0.08691206,0.08258086,0.07831844,0.076163016,0.07615594,0.07658481,0.07678291,0.07703004,0.078216396,0.080212526,0.082007974,0.08185598,0.07912955,0.07429225,0.06906327,0.06476569,0.062529564,0.0626854,0.065329105,0.06984091,0.07550774,0.08123726,0.085249186,0.08511448,0.07911766,0.06836238,0.056272436,0.046641525,0.04086433,0.038305283,0.03743397,0.037383553,0.037691027,0.038020704,0.03791268,0.03717758,0.036076825,0.03517491,0.03484517,0.034988437,0.035168905,0.03507789,0.03476913,0.034562796]