[6.3444146E-05,0.00011639842,0.00026336787,0.00053063297,0.0009430976,0.001519543,0.0022838917,0.0032591883,0.004453001,0.005818018,0.007280899,0.008774596,0.01032501,0.012010007,0.0139250355,0.01607459,0.018463515,0.021144392,0.024270454,0.027851805,0.031605795,0.03502545,0.037664738,0.039559767,0.040947188,0.04219179,0.04296711,0.042852897,0.041418526,0.039281484,0.0374148,0.03669512,0.03711006,0.038075697,0.0388055,0.038543668,0.037297234,0.036747623,0.041150633,0.05480208,0.07889848,0.1074241,0.1303338,0.13780876,0.1282386,0.107402794,0.08614552,0.072200775,0.06784881,0.06924773,0.071243644,0.07056183,0.06701861,0.06174917,0.055437025,0.04874027,0.04263607,0.038284577,0.03560707,0.033576548,0.031341214,0.029088229,0.027553543,0.027039811,0.02786252,0.030919349,0.03841582,0.051475693,0.068845205,0.085160546,0.094624154,0.09343264,0.083300024,0.06930633,0.05763505,0.052096885,0.05413799,0.063456126,0.0789854,0.09754784,0.11386359,0.121370286,0.11682857,0.101729214,0.08233574,0.064658836,0.05213009,0.044354245,0.039680023,0.036548197,0.034202207,0.031976845,0.029173283,0.025895745,0.023924543,0.026430458,0.0349523,0.047171593,0.057377517,0.062066596,0.06283903,0.06550687,0.07329059,0.0846531,0.09363932,0.09497299,0.08586785,0.06804087,0.04665942,0.02838852,0.018162953,0.017694496,0.026831878,0.045049936,0.07004377,0.096217394,0.114964835,0.12128702,0.116342664,0.10609773,0.09407204,0.07967582,0.061863754,0.04293127,0.027889423,0.019687444,0.018154552,0.021460816,0.028220138,0.036859587,0.044383574,0.047532324,0.044870425,0.0384556,0.032256525,0.02999889,0.032581028,0.038371217,0.044184905,0.048313793,0.050613105,0.052378614,0.053592,0.053759158,0.052278485,0.05064339,0.05090281,0.05436446,0.05981369,0.06451881,0.06594316,0.06309435,0.056556374,0.04754102,0.03767303,0.029001392,0.02406325,0.024267226,0.029149786,0.036512956,0.044840146,0.053238455,0.061069574,0.0667615,0.069458,0.06947557,0.06769509,0.06397831,0.057448104,0.04829788,0.03883416,0.032464642,0.030981854,0.032760773,0.033811886,0.03093162,0.024195135,0.016217232,0.009712768,0.0063341693,0.0072507015,0.014229876,0.02680716,0.041025188,0.049285244,0.047975227,0.040602595,0.037537802,0.046022862,0.06406832,0.08030814,0.083434045,0.07126662,0.053007185,0.042438876,0.048503894,0.07002287,0.09722537,0.11812794,0.12483867,0.11813405,0.1042715,0.0912827,0.08219132,0.077399,0.074614346,0.07278973,0.07056116,0.06789369,0.06573996,0.06409636,0.06121378,0.053261817,0.03995407,0.024199313,0.011707445,0.0058661937,0.0087088905,0.020852333,0.04248186,0.07176702,0.105611145,0.14064892,0.17282385,0.19568707,0.20175408,0.18877351,0.16437297,0.14241445,0.1329677,0.13431078,0.13592958,0.12727223,0.1082665,0.089546114,0.08515719,0.099921055,0.124866106,0.14503406,0.15102987,0.144977,0.13286631,0.118620455,0.10128325,0.081205525,0.0611656,0.045989722,0.037775666,0.03495921,0.03313785,0.02866031,0.021428803,0.014730803,0.013493723,0.020181369,0.034109842,0.0502938,0.063706934,0.07042885,0.07062703,0.06545128,0.056800943,0.04571237,0.03404427,0.023616225,0.015664598,0.010070359,0.0061712894,0.0035774738,0.0023982,0.003341509,0.0074245804,0.015710846,0.02739118,0.03945366,0.046988506,0.047049206,0.040368978,0.03234603,0.029154828,0.034661133,0.046855267,0.060175467,0.068326205,0.069620125,0.065480046,0.05945748,0.052663863,0.045624852,0.038024716,0.031289015,0.02658075,0.024432728,0.023343509,0.021300575,0.017270146,0.012156895,0.007795011,0.005912459,0.008835721,0.02181687,0.05277334,0.10641113,0.17650037,0.24344198,0.28524706,0.28932616,0.26124954,0.2160803,0.17131126,0.1364727,0.114028774,0.09988294,0.08958915,0.081605166,0.07567224,0.0709247,0.06502142,0.061305325,0.06771483,0.09411881,0.13920112,0.19012624,0.22315179,0.22216506,0.18706812,0.14075965,0.10977406,0.108711936,0.12651783,0.14067154,0.13256796,0.10271132,0.06399981,0.03207672,0.014546127,0.013205702,0.026605882,0.052698445,0.08389148,0.108655244,0.11610583,0.1076187,0.09568084,0.09507924,0.10993513,0.13391824,0.1610465,0.19045483,0.22154947,0.2424242,0.23650843,0.19580774,0.13318415,0.072299644,0.033671718,0.024034845,0.039651643,0.07064179,0.10604861,0.13779737,0.16257727,0.18261929,0.20166957,0.2256381,0.2565193,0.2878561,0.3017941,0.28037906,0.22370191,0.15418431,0.105852686,0.09729475,0.12382718,0.15993445,0.18496986,0.19248122,0.19580007,0.20945698,0.2388318,0.2712973,0.28652832,0.2701231,0.22351213,0.1617067,0.101891644,0.05545436,0.025335902,0.009213458,0.0023861164,0.00090944534,0.0051164893,0.020767862,0.055519134,0.106824994,0.1576518,0.1839493,0.17935054,0.16334145,0.16759121,0.20397179,0.25299045,0.27948686,0.26175413,0.20510311,0.13415083,0.075664155,0.049012486,0.063454546,0.11791044,0.19753826,0.2765197,0.32752037,0.33429933,0.2966033,0.22771473,0.14854692,0.079403535,0.033020046,0.00960017,0.0016068177,0.0007424823,0.004441818,0.015753983,0.03934738,0.07768105,0.12685299,0.17766774,0.21584673,0.2295903,0.21499525,0.18352978,0.15478246,0.1458924,0.15758765,0.17840809,0.19286533,0.19437732,0.18341975,0.16670321,0.15026428,0.14070131,0.13949154,0.14656971,0.15834767,0.17735583,0.20530201,0.24451439,0.28553584,0.31738186,0.3273467,0.31345245,0.2786031,0.2350293,0.19641763,0.1752267,0.17005362,0.16790836,0.15229383,0.118821986,0.07652349,0.041711558,0.027208226,0.03917936,0.07212127,0.112104096,0.13952197,0.14748248,0.14165479,0.13882351,0.14393608,0.15157203,0.14758092,0.12865128,0.102602445,0.086396866,0.08948488,0.109413505,0.13239193,0.14852233,0.15464137,0.15650861,0.15865982,0.1673875,0.1847155,0.20989032,0.23467426,0.2536044,0.26611245,0.27764538,0.28687128,0.28850862,0.27464983,0.24793263,0.21426564,0.18394071,0.16088967,0.14982946,0.15288503,0.17523293,0.21579416,0.26672694,0.31055978,0.33462003,0.33626762,0.32591894,0.3113105,0.29505694,0.27443323,0.25228152,0.23337795,0.22113472,0.21500091,0.21427678,0.21948056,0.22687548,0.22863685,0.21437149,0.18108268,0.13336077,0.084102474,0.04608247,0.028495757,0.032745373,0.054506283,0.085422665,0.11541698,0.13437177,0.13538483,0.12033737,0.10166359,0.097147375,0.11570948,0.15076576,0.1839577,0.20156956,0.20124008,0.19162135,0.18232013,0.1808387,0.18864842,0.20378013,0.21931274,0.22976334,0.22958018,0.21716249,0.19017275,0.15062453,0.10392632,0.060773302,0.032232847,0.027679646,0.052286774,0.10333552,0.16714823,0.2236594,0.25703642,0.26262358,0.24255304,0.20077147,0.14424166,0.0857858,0.039974473,0.013360831,0.0027938515,0.00019295124,0.0017555662,0.009290386,0.029361852,0.0634807,0.107410155,0.15084124,0.19185065,0.23205769,0.27132902,0.29370487,0.281136,0.23071867,0.16638729,0.124948315,0.12884647,0.1712898,0.22007799,0.24640715,0.24147858,0.22188117,0.20640053,0.20682983,0.2169022,0.22654319,0.22236596,0.20327671,0.17442997,0.14698268,0.12368781,0.10099059,0.07510046,0.05156363,0.044914305,0.06805607,0.1193074,0.1766581,0.20825535,0.19487523,0.14519344,0.090424664,0.06394961,0.08096325,0.13459027,0.19948326,0.24981682,0.2722839,0.27401128,0.2707419,0.2679621,0.25747782,0.22580093,0.1776857,0.13375346,0.119956195,0.14086129,0.17785616,0.20027493,0.1901627,0.14986405,0.09846232,0.05735874,0.044995267,0.07181185,0.13721806,0.22490877,0.30803427,0.3629283,0.3804549,0.36371043,0.3208598,0.2618983,0.20535405,0.1755815,0.18965308,0.24243014,0.30618945,0.34978664,0.35529652,0.32807446,0.28571233,0.24814565,0.22433193,0.21424897,0.209925,0.20423596,0.19190834,0.17276405,0.14996034,0.12728246,0.10711124,0.08735471,0.06674161,0.04506811,0.02729881,0.018074354,0.020616397,0.03211646,0.04566987,0.05257896,0.04859221,0.035784144,0.020857235,0.009377567,0.0031712689,0.0007643795,0.0001516944,8.358954E-05,0.00013986642,0.00032403323,0.0010060372,0.0029089611,0.006534128,0.011167119,0.014818795,0.015353507,0.012476157,0.0077824504,0.0036294227,0.0011483714,0.00021266092,0.00015540855,0.0011495515,0.004516143,0.012145261,0.026073404,0.047633257,0.07774669,0.11289078,0.14492713,0.16128649,0.15496872,0.127802,0.09075417,0.055222344,0.028345555,0.011819464,0.003781087,0.0017271444,0.0034775904,0.007829162,0.013089001,0.016812498,0.016878253,0.013250764,0.008001795,0.0035916867,0.001097838,0.0001932901,0.0003708417,0.0031512126,0.014636238,0.044326972,0.09937737,0.17317164,0.24490441,0.28759065,0.2870302,0.24627466,0.18283178,0.11616186,0.061427247,0.025676705,0.0076356716,0.0013363896,8.9367995E-06,8.035856E-05,0.0009839984,0.005702987,0.020015715,0.05027336,0.095474415,0.14337157,0.17283265,0.16968167,0.13528746,0.0875792,0.045212224,0.018578865,0.006280726,0.0039301314,0.009371549,0.024821462,0.05168174,0.086983286,0.1220929,0.14849488,0.16226713,0.16656728,0.16643204,0.16485906,0.16104613,0.15455323,0.14741264,0.14290987,0.14119439,0.13759063,0.1258586,0.103218764,0.07330456,0.043680202,0.023030393,0.018324852,0.03620697,0.07686787,0.1326202,0.18432283,0.21696967,0.22624801,0.22236915,0.21538253,0.20794348,0.19825588,0.18530864,0.1721531,0.15739433,0.13782719,0.11013033,0.07768827,0.048152406,0.032179583,0.041156113,0.08219103,0.14781539,0.21287255,0.2456476,0.23233823,0.18507661,0.13431594,0.10561595,0.11099955,0.144217,0.18694615,0.21496843,0.21397476,0.18777429,0.15435714,0.13047083,0.12137267,0.122074485,0.122811966,0.115451396,0.09591305,0.06788774,0.03942732,0.020543488,0.018277511,0.03839315,0.07971191,0.13129789,0.17142725,0.18317318,0.16727327,0.14286609,0.1304587,0.13620192,0.1524685,0.1676448,0.17643012,0.17687361,0.16886966,0.15102178,0.12633373,0.10109126,0.084411286,0.08247385,0.09818012,0.13060321,0.17612089,0.22520225,0.26538277,0.28349516,0.2764337,0.24764557,0.20814057,0.1654691,0.12671837,0.09415094,0.070262454,0.05564068,0.050324414,0.051261246,0.05359088,0.05425406,0.054767113,0.057686877,0.061601717,0.060151067,0.049999967,0.034933273,0.025016291,0.027158892,0.040291518,0.0550658,0.061088275,0.05389039,0.037484515,0.021093912,0.014412346,0.02503956,0.05606853,0.10051445,0.14123492,0.15795684,0.14390507,0.108423084,0.0706703,0.042599525,0.026370049,0.016914522,0.01116198,0.0098957075,0.01833872,0.041962057,0.08212096,0.13185346,0.17884207,0.21380186,0.23534387,0.24707647,0.24941044,0.24081063,0.22183812,0.19784117,0.17185877,0.142701,0.109455116,0.07889577,0.061323334,0.060935397,0.06990852,0.07600828,0.07394663,0.06954571,0.072947726,0.08754542,0.1099202,0.13403623,0.1608061,0.19060922,0.22095452,0.23925495,0.23695153,0.21258177,0.17750089,0.14331,0.11926366,0.10788695,0.109844245,0.12134846,0.13637668,0.14854835,0.15766864,0.16613835,0.17186488,0.16541691,0.14000598,0.1030019,0.07323555,0.067225434,0.08567176,0.11383206,0.1317714,0.12680195,0.10041345,0.064579785,0.03330974,0.015454777,0.015315443,0.037684467,0.08387772,0.14730008,0.20470037,0.2318083,0.21399242,0.16270368,0.101073645,0.05437549,0.033882108,0.04012854,0.062796235,0.08835321,0.104803406,0.1108228,0.11409262,0.1252623,0.14540835,0.16515052,0.1695628,0.15094794,0.11383244,0.07187746,0.038079966,0.019367259,0.017897414,0.035135027,0.06755746,0.10485024,0.12942663,0.13250892,0.11811059,0.10124997,0.09052921,0.083456814,0.07445934,0.06537653,0.06943207,0.09506428,0.14042656,0.1889615,0.22722931,0.24668412,0.24965936,0.23831397,0.21860747,0.19344723,0.16683511,0.13810545,0.10832443,0.07927261,0.056259703,0.043967176,0.04484467,0.05587468,0.06899542,0.07425611,0.06691375,0.050105568,0.032717884,0.02202372,0.019811712,0.022652937,0.025523797,0.02548915,0.02265153,0.019233154,0.01738052,0.019511104,0.02899301,0.050517928,0.08401557,0.12444788,0.16041714,0.18575414,0.19669704,0.19532198,0.17969103,0.15088446,0.11275187,0.077066116,0.05518061,0.05336535,0.06911329,0.09791388,0.1364484,0.18304093,0.2301708,0.26474908,0.272876,0.25015765,0.20340352,0.14805754,0.10044562,0.07316113,0.07015985,0.085917525,0.109027214,0.12960029,0.14467137,0.15438925,0.15654394,0.14515953,0.11803184,0.08213191,0.052319378,0.044409987,0.067592375,0.11924958,0.18309663,0.23683858,0.2625981,0.25629285,0.22457217,0.18098266,0.1402351,0.11695406,0.12132003,0.15342115,0.20043401,0.23822838,0.24467336,0.21355768,0.16258271,0.122606285,0.11491374,0.13533242,0.15690367,0.15563603,0.1310622,0.10863503,0.11361309,0.14644535,0.18120484,0.1905636,0.17428736,0.15451925,0.15595025,0.17686015,0.20103514,0.20677249,0.19035698,0.15444298,0.11213545,0.074660085,0.056889217,0.0652062,0.09858683,0.14509715,0.19161713,0.2256902,0.24131219,0.23905353,0.22756773,0.21749175,0.21366948,0.21292138,0.20773947,0.19457693,0.17336969,0.14642887,0.11436266,0.079816654,0.04847933,0.029029345,0.027476653,0.04137208,0.060581695,0.07188731,0.07076753,0.061667968,0.0545913,0.0536246,0.05674323,0.059150796,0.058984566,0.05693179,0.054456428,0.05172224,0.04921949,0.05023394,0.06413951,0.101551436,0.16316995,0.23390125,0.28878358,0.31409723,0.31122252,0.29355076,0.2651882,0.22581477,0.1757529,0.13043158,0.10724696,0.11090928,0.1251538,0.12776293,0.112322964,0.09165269,0.084504485,0.097248115,0.12300465,0.15256703,0.17905529,0.19818516,0.19987641,0.17863457,0.13694537,0.09282128,0.06577901,0.06745539,0.09436659,0.13331272,0.17226648,0.20247726,0.22168863,0.22652958,0.21860494,0.19797666,0.16874008,0.13119775,0.09094859,0.054551035,0.032915,0.031496856,0.049739312,0.079299934,0.10930505,0.13156427,0.14391334,0.1489959,0.14996617,0.14663021,0.13818827,0.12474441,0.11156414,0.10431961,0.10797244,0.12233555,0.14452817,0.16955446,0.19203435,0.20836876,0.21842064,0.22474144,0.22585331,0.21361597,0.18049991,0.12943387,0.075726755,0.034476068,0.012120015,0.0060841893,0.014359199,0.03874558,0.07993729,0.13002749,0.1720516,0.193034,0.19474263,0.19508879,0.20971592,0.23965831,0.26800165,0.27853945,0.26448664,0.2340879,0.19538338,0.15508117,0.11467383,0.0819991,0.06650252,0.07532249,0.1039893,0.13860147,0.16610116,0.17859459,0.1779133,0.164331,0.1407943,0.107308246,0.0719176,0.043089677,0.032381166,0.043820348,0.07572695,0.116454355,0.15221018,0.17108953,0.17071575,0.15420626,0.12746619,0.094607495,0.0610489,0.032449186,0.013720515,0.0059751715,0.008867763,0.022418818,0.046639096,0.07743124,0.1048888,0.11733412,0.1087457,0.084022515,0.056365322,0.03989951,0.040649805,0.055030346,0.0729522,0.08666274,0.09382618,0.09726599,0.09890163,0.09712932,0.0881432,0.07034542,0.047928434,0.030428989,0.030962905,0.061187852,0.123192936,0.20162368,0.2669114,0.2917055,0.2701116,0.21854337,0.16316856,0.12022493,0.09367374,0.07838834,0.07174644,0.07494698,0.091177516,0.118079744,0.14601302,0.164472,0.17011113,0.1690734,0.16610433,0.15885025,0.13831154,0.10381534,0.0651306,0.039775863,0.0378072,0.05792743,0.085874975,0.10444073,0.10376024,0.0899931,0.0802547,0.0875733,0.11266649,0.1460867,0.18145992,0.21358444,0.24039404,0.25648654,0.26181445,0.25368613,0.22956131,0.18505871,0.12780364,0.07504935,0.047406346,0.052790035,0.08306929,0.11658057,0.13154428,0.118023865,0.083826184,0.04620135,0.019059317,0.0054398743,0.0009399526,0.0006327292,0.004079156,0.015040826,0.037418287,0.06826063,0.09591053,0.10560385,0.0919458,0.06278312,0.03361662,0.015124957,0.008575651,0.008584559,0.009353635,0.008308051,0.0060818405,0.005960806,0.012600728,0.030137857,0.059347063,0.09526235,0.12985818,0.15644361,0.17375964,0.18324302,0.18553229,0.17748536,0.15627171,0.12208772,0.08209521,0.04532632,0.019696716,0.0060092565,0.0011285626,0.000450011,0.0039276485,0.016371707,0.044916276,0.08897684,0.13513535,0.16112356,0.1543303,0.12269262,0.09089386,0.07973839,0.0920218,0.112784296,0.12328515,0.11549454,0.09792993,0.09010511,0.108942926,0.15529998,0.21187365,0.25206923,0.25871402,0.23176698,0.1877417,0.14350736,0.108556814,0.08133207,0.05810873,0.037192233,0.021329464,0.015299966,0.02497842,0.05498366,0.10441715,0.16223137,0.21000962,0.22955723,0.21442246,0.17065299,0.115245886,0.0655329,0.03671378,0.03709365,0.06904021,0.123852454,0.18141699,0.21555686,0.20959437,0.16653378,0.107366495,0.054810856,0.021404445,0.007271638,0.00924928,0.0284098,0.06812773,0.12834269,0.19819854,0.2611314,0.30103543,0.3113852,0.29524687,0.26068953,0.21694596,0.1709602,0.13042097,0.10004298,0.08158288,0.0709939,0.06273129,0.05266886,0.039899714,0.026960215,0.017850166,0.018624013,0.033134714,0.061928496,0.09593151,0.121436656,0.124280125,0.10329435,0.068220176,0.035731148,0.015926914,0.011963007,0.020541804,0.038136784,0.059217304,0.07759511,0.08555611,0.07963847,0.061569434,0.039041515,0.02003506,0.010105065,0.011118855,0.02283174,0.043242242,0.067672126,0.088973485,0.09945089,0.09462463,0.07589832,0.050357547,0.026835881,0.012042512,0.009383577,0.02168014,0.050836906,0.094962634,0.14420854,0.18426329,0.20477791,0.20565927,0.19569713,0.1840514,0.17555119,0.16797823,0.15602165,0.1335114,0.10039992,0.06285654,0.031274345,0.011386565,0.0027343065,0.00027826312,4.985121E-06,5.423032E-06,0.0006235531,0.0033987977,0.01115144,0.024892671,0.04231566,0.055997755,0.05956408,0.050704956,0.034771495,0.018636696,0.007678451,0.0021839498,0.00039468615,1.4721337E-05,1.09364955E-05,9.9421704E-05,0.00048290472,0.0015157164,0.0033357104,0.0069113434,0.014900195,0.032898933,0.064521186,0.10689894,0.14783041,0.1739587,0.17974456,0.17069383,0.1578108,0.14873528,0.14591227,0.14570488,0.14187366,0.12746046,0.100587755,0.06673812,0.035624087,0.014540109,0.0048088985,0.0046724956,0.0140708955,0.034156702,0.06386418,0.094293855,0.11316923,0.11053992,0.08822485,0.05654781,0.028639287,0.011014619,0.0034253018,0.0016547561,0.0023139352,0.0040613157,0.0076697147,0.014764734,0.027501335,0.04637159,0.07051682,0.09628075,0.12010779,0.13763191,0.14579879,0.14124821,0.12325428,0.094510086,0.062200814,0.03418799,0.01533269,0.0064066653,0.0068721226,0.017795758,0.03972426,0.06882454,0.09481937,0.107055075,0.101412125,0.083317064,0.06252031,0.045868415,0.034603674,0.025987653,0.01808443,0.010625371,0.0050073843,0.001704616,0.00043754975,0.0010047536,0.0049691484,0.015514606,0.033768762,0.05660978,0.07679852,0.090226166,0.09830582,0.107410945,0.11967242,0.13165061,0.13431491,0.1224215,0.09617046,0.06388307,0.03453657,0.014788706,0.0046685613,0.00203638,0.005893815,0.019631295,0.046002958,0.081247814,0.11179497,0.1228584,0.10888361,0.07879023,0.047375217,0.025124194,0.013260932,0.008215786,0.006419835,0.006391709,0.0074768546,0.009130285,0.010856741,0.012578826,0.015286505,0.021471843,0.035387475,0.059244305,0.08917225,0.11318024,0.11862563,0.10136781,0.06994923,0.03846807,0.016857356,0.006636212,0.004059642,0.004983919,0.0069223507,0.0085930275,0.009226534,0.008796865,0.009146518,0.014504132,0.029674983,0.055580396,0.08558833,0.107633464,0.111741394,0.0971873,0.07202038,0.046781484,0.027813999,0.01614413,0.009751815,0.006593363,0.005493065,0.0059298538,0.007383436,0.009144496,0.010522359,0.011099201,0.01081756,0.009748242,0.008086318,0.006238419,0.0051437486,0.0060765073,0.009919868,0.016325412,0.02359575,0.030046118,0.0350111,0.038809463,0.04105212,0.04031555,0.03537215,0.027008006,0.017941913,0.011160448,0.008440594,0.009607607,0.012857546,0.015374608,0.015125107,0.011917975,0.0074788616,0.0037313623,0.0016784108,0.0021354344,0.007309901,0.0213463,0.04558776,0.07458124,0.09546401,0.097646356,0.08036134,0.05396652,0.030313969,0.015447072,0.008189768,0.0049323924,0.003079401,0.0018848932,0.002197164,0.0065808357,0.019116132,0.041803677,0.07085365,0.09531865,0.10393385,0.092507355,0.06769525,0.04089539,0.020948486,0.009937684,0.005584411,0.0047673993,0.005579969,0.0070628417,0.008514848,0.009363919,0.010800297,0.01793386,0.041329432,0.09139415,0.1702445,0.26320922,0.34437475,0.38691458,0.37810537,0.3221096,0.23871617,0.15233232,0.08306963,0.038680244,0.016079305,0.0069333385,0.004203278,0.003933297,0.00442549,0.004893137,0.0051433668,0.005395711,0.005822338,0.0071587674,0.011174512,0.021407515,0.038543258,0.05839774,0.07096373,0.069803834,0.055694263,0.037429433,0.022687087,0.014656483,0.011624751,0.010963478,0.010730725,0.010810777,0.013256061,0.021976076,0.03781924,0.056308795,0.067373335,0.06489123,0.049966544,0.031624943,0.017393386,0.010234613,0.007727306,0.006899953,0.006191287,0.0070998766,0.013947479,0.03287675,0.066488735,0.10900631,0.14453101,0.15685777,0.13952337,0.1022895,0.062048893,0.032836337,0.01795427,0.014532345,0.01950691,0.034777258,0.06386078,0.10546339,0.14911318,0.17912637,0.18522598,0.16755438,0.13587074,0.09982604,0.06719431,0.041682288,0.028210267,0.031601068,0.057034995,0.10238748,0.15479554,0.19117285,0.19343114,0.15996172,0.108671136,0.06190313,0.03483517,0.029865548,0.041880947,0.06143634,0.07840323,0.08517677,0.0809154,0.070920356,0.06249811,0.059329104,0.060727775,0.06294466,0.06311377,0.06004091,0.05452295,0.047302064,0.039250996,0.03231402,0.030954653,0.041929588,0.06930402,0.10964004,0.1481843,0.16724025,0.15619962,0.120901555,0.0773602,0.04172239,0.0205801,0.011934596,0.010887209,0.015478524,0.029384762,0.057286162,0.099479415,0.14499462,0.17692558,0.1802917,0.15411045,0.11001289,0.06584764,0.033797935,0.016960273,0.01099984,0.010296401,0.012100103,0.018578127,0.035378035,0.066317655,0.10655043,0.14090268,0.15225935,0.13416483,0.096055925,0.05560322,0.026351236,0.0114185875,0.0065543167,0.006060328,0.006477363,0.006848959,0.008703347,0.01539136,0.03069825,0.055072594,0.08387619,0.10856257,0.12153662,0.11938682,0.103406765,0.07858031,0.0516977,0.029733198,0.01649719,0.011870921,0.012895025,0.017665053,0.027949005,0.048193086,0.081151344,0.12166352,0.15652518,0.17018163,0.15566841,0.11907879,0.07599107,0.0409723,0.02046296,0.012407639,0.011431948,0.014830996,0.02482567,0.046699386,0.08072021,0.11772058,0.14045252,0.13715869,0.10933316,0.07187835,0.03997544,0.021307515,0.014962919,0.019001221,0.035989385,0.07142692,0.12577118,0.18611403,0.22901602,0.23425251,0.199385,0.14203745,0.08769438,0.05585515,0.052799523,0.072026834,0.09908956,0.117251605,0.11770902,0.10258385,0.08330152,0.069565155,0.064631395,0.06431416,0.06266955,0.05579157,0.045362066,0.037146445,0.038047526,0.049945343,0.068997584,0.085846774,0.09248484,0.08468536,0.06680582,0.047751088,0.039417934,0.04927893,0.07786717,0.11467508,0.14251421,0.14638868,0.124003075,0.08723819,0.05391838,0.03852089,0.04805397,0.08191775,0.13120164,0.179655,0.21063042,0.21530287,0.19592132,0.16064696,0.11887311,0.078625344,0.04692808,0.028208008,0.024239978,0.034767434,0.057199482,0.084404774,0.10500055,0.10945156,0.09775957,0.07944379,0.06665809,0.065069966,0.07250414,0.08206416,0.08705755,0.08370096,0.07158652,0.05437762,0.038350154,0.03178887,0.04217726,0.07265713,0.11709168,0.15866415,0.17775439,0.16437156,0.127231,0.087826155,0.067439646,0.07370206,0.10023097,0.1316157,0.15427788,0.15978569,0.1490413,0.12914763,0.11299685,0.110935,0.12565811,0.14838217,0.16421723,0.16154476,0.13901578,0.10922665,0.092330895,0.10618349,0.15385586,0.22011447,0.27913782,0.3066087,0.29179397,0.23982155,0.17097442,0.11139455,0.085053675,0.10149156,0.1516236,0.20685261,0.2354806,0.21926643,0.16723156,0.10642251,0.06655309,0.06468179,0.09981513,0.15277593,0.19291073,0.19586986,0.15932544,0.104245864,0.05867322,0.042040545,0.061913416,0.11408725,0.18201393,0.23598854,0.24889372,0.21338971,0.14970131,0.089028895,0.057116255,0.06330774,0.10547676,0.16639696,0.22154625,0.24586207,0.23832852,0.21873389,0.21563183,0.23925287,0.2804824,0.31732798,0.32943583,0.3066282,0.25827977,0.20780085,0.17612438,0.16312571,0.15437977,0.13767396,0.11490128,0.093413085,0.07759013,0.06640112,0.05859587,0.053474996,0.049882714,0.04509156,0.037144426,0.02667698,0.016738152,0.010374021,0.008856232,0.011915038,0.017611243,0.023180211,0.025008569,0.022323176,0.017127967,0.013841639,0.014216937,0.017045647,0.018706372,0.017397342,0.01361991,0.0110824,0.01466427,0.031600177,0.06516389,0.11231329,0.15595716,0.1776145,0.16455375,0.12530695,0.077451594,0.039998125,0.018328832,0.009827634,0.007748019,0.008029572,0.008549233,0.008529115,0.008075177,0.0077337846,0.008154609,0.009316214,0.0112986155,0.014128364,0.018084744,0.022443926,0.026540577,0.02916438,0.029875314,0.027890364,0.024491467,0.022944717,0.028560072,0.043172676,0.06235378,0.07629204,0.07804838,0.06949716,0.06106059,0.06316502,0.07926533,0.10284093,0.123173036,0.13019557,0.12136769,0.10055196,0.077496804,0.06268131,0.0652258,0.088364266,0.1246033,0.15722649,0.16802888,0.15224902,0.11886618,0.08561339,0.06594042,0.06939855,0.09780211,0.1441134,0.18935262,0.2133609,0.20857222,0.18333025,0.15234609,0.12290189,0.09652754,0.0739659,0.060871307,0.059560467,0.065769404,0.06857735,0.061537415,0.047250643,0.036493987,0.03923622,0.05530858,0.07476427,0.08234631,0.072657816,0.050325494,0.02877898,0.015687333,0.012663327,0.015202619,0.020059587,0.024771119,0.028274506,0.029566688,0.029346677,0.029187841,0.030443126,0.032364022,0.032843262,0.03055477,0.026045933,0.021139106,0.016979693,0.013738514,0.0111341,0.009145492,0.008111462,0.008397174,0.010480061,0.014583862,0.020468585,0.027082453,0.032853663,0.03722845,0.04230706,0.052956272,0.07262995,0.098542474,0.12196972,0.13482596,0.13749824,0.13786191,0.14338963,0.1521759,0.15344068,0.13851866,0.11169419,0.092467524,0.10027421,0.13990922,0.19175261,0.2268076,0.22273731,0.18269967,0.12834354,0.089360975,0.08529439,0.12006569,0.18012685,0.23920517,0.27045214,0.2588341,0.2106665,0.14685883,0.090406604,0.05340718,0.035375804,0.03001917,0.034463767,0.052784998,0.08908669,0.13673535,0.17550595,0.18398117,0.15690644,0.10993817,0.06839835,0.05149138,0.065147825,0.101169206,0.14045157,0.16058551,0.14929943,0.11264774,0.071888424,0.051069144,0.06960356,0.13359427,0.23091781,0.32501683,0.37347746,0.3524206,0.27757263,0.19071889,0.13037685,0.10930302,0.114644624,0.12760776,0.13539769,0.13743848,0.13865794,0.14745349,0.16965882,0.204657,0.240243,0.25848648,0.2481816,0.21844058,0.19356787,0.19457652,0.21923256,0.24403577,0.24465881,0.21608572,0.17612813,0.14747219,0.14142953,0.14857516,0.15149933,0.13755484,0.111190796,0.08731174,0.07922716,0.086547785,0.09622108,0.09513656,0.08130174,0.06577289,0.061220367,0.07118124,0.08817204,0.1017009,0.1061781,0.10147341,0.089067645,0.07239749,0.059066743,0.06229195,0.089866616,0.13567005,0.17637344,0.18865931,0.16439454,0.11870226,0.07710122,0.06189139,0.08037069,0.12283727,0.16561097,0.18327467,0.16495074,0.122217216,0.08203941,0.07127277,0.10254886,0.16926555,0.24394798,0.29189953,0.28756514,0.23357165,0.15577228,0.08709527,0.0472009,0.037670817,0.048875052,0.068414874,0.086905636,0.09699286,0.09596706,0.08661458,0.07926282,0.08340273,0.10008943,0.1186614,0.1270221,0.12140135,0.10723441,0.09203419,0.07880954,0.067754626,0.058208894,0.05021439,0.043477524,0.037634995,0.03294693,0.029403515,0.026442826,0.02308697,0.019239847,0.017349208,0.0222316,0.040792592,0.07434139,0.1150969,0.14554949,0.15391172,0.14133875,0.12078497,0.10183209,0.086633,0.07535759,0.07197673,0.07864616,0.08911643,0.09260106,0.087829225,0.0854659,0.096848905,0.117909186,0.13095768,0.12155972,0.091475874,0.05798261,0.039030146,0.04537116,0.07315584,0.108129345,0.12887008,0.12520455,0.10492244,0.09293482,0.10577241,0.13818227,0.16367684,0.16034102,0.12693764,0.08225011,0.048267573,0.037144773,0.051633388,0.082814716,0.11602887,0.13033289,0.118270956,0.08510444,0.050181244,0.025527993,0.014966149,0.012262215,0.012851074,0.015611194,0.02437819,0.041281227,0.062846795,0.07844862,0.08022391,0.070426114,0.06431588,0.07555964,0.104947664,0.13456565,0.14416933,0.12659204,0.0967168,0.078324825,0.08425349,0.107191324,0.12519462,0.12326184,0.10108391,0.075258724,0.063634805,0.0752364,0.102424406,0.12580748,0.12867187,0.10759797,0.07436881,0.045001406,0.03300872,0.047619175,0.09132862,0.15478593,0.21313791,0.23966824,0.2220961,0.17329466,0.120366625,0.08888016,0.08898166,0.11309701,0.14108203,0.15214038,0.13773383,0.105323784,0.07158786,0.051526975,0.0552212,0.087453105,0.14320076,0.20163874,0.23318678,0.22301245,0.18763441,0.1638787,0.17377876,0.20434864,0.2197252,0.19727765,0.14410539,0.08734063,0.04737227,0.028601712,0.02497224,0.03227182,0.048220765,0.06884318,0.08613052,0.09523588,0.0975822,0.09930635,0.102951236,0.10592908,0.10344776,0.09375558,0.078921296,0.063156374,0.050544504,0.043527346,0.04156288,0.04171623,0.040515322,0.037607197,0.036657974,0.043989945,0.063857056,0.09427365,0.12640177,0.14784808,0.15041347,0.13337876,0.104648896,0.07414596,0.050779093,0.037980255,0.03447273,0.0346925,0.033411656,0.030116476,0.030654043,0.042731673,0.06960121,0.10443902,0.13368678,0.14263049,0.12754561,0.09724691,0.07061889,0.061303694,0.07178665,0.09240361,0.11351848,0.12841815,0.13472809,0.12834246,0.10847355,0.07896367,0.052532766,0.043653194,0.06476453,0.11272701,0.1686077,0.20125757,0.19348378,0.14986308,0.09532267,0.050344985,0.023598589,0.013631337,0.021054583,0.04974355,0.097369395,0.1486274,0.17856367,0.17195709,0.13353726,0.085215926,0.04774755,0.030186221,0.029597774,0.03870472,0.05288562,0.071711,0.09763545,0.12769881,0.1524241,0.15800154,0.13967349,0.10374642,0.06567219,0.03877638,0.031997267,0.047532063,0.08095205,0.12039866,0.15337436,0.17575108,0.19449775,0.21752737,0.24385719,0.26144734,0.2599422,0.23740907,0.20418267,0.17154531,0.14907087,0.13926013,0.14245756,0.15425248,0.16736211,0.1731174,0.16816063,0.15685038,0.14761041,0.14604537,0.1537262,0.16981989,0.1929894,0.21661769,0.23117036,0.22940773,0.21519953,0.19840617,0.18717587,0.18136139,0.1771916,0.17174654,0.16472505,0.15614028,0.14657046,0.13872649,0.13727063,0.14445443,0.15528226,0.15937507,0.14869086,0.12626453,0.10544429,0.10065648,0.117655374,0.14997931,0.1854831,0.21209453,0.22408491,0.22068699,0.20497549,0.1806745,0.15299273,0.13107233,0.12542103,0.1422774,0.17466491,0.20877497,0.23127113,0.24128784,0.2421177,0.23986353,0.23569012,0.23282166,0.22888745,0.21820879,0.19154592,0.15061565,0.11119094,0.101407684,0.14639924,0.252114,0.3906814,0.50467956,0.5378831,0.47274002,0.34706,0.22770248,0.16954361,0.18223234,0.23261887,0.26946557,0.2591296,0.2029766,0.13073839,0.07694134,0.06312479,0.0923993,0.15181062,0.21882828,0.2715138,0.30074278,0.31044564,0.3101152,0.30485538,0.2952199,0.27956256,0.25474325,0.21975063,0.17866205,0.14491348,0.1282578,0.12804694,0.12866436,0.118638,0.09667483,0.07603554,0.07025722,0.08865925,0.12686904,0.1689142,0.19154216,0.18268706,0.15045574,0.12291338,0.12674525,0.16947316,0.22964327,0.27108064,0.26687998,0.21779096,0.15095459,0.10107747,0.0942435,0.13488692,0.20559518,0.2706678,0.2966356,0.2701109,0.20632888,0.13598354,0.08731032,0.07592079,0.10166487,0.15162371,0.20216298,0.23155461,0.22957806,0.20299602,0.16531855,0.12757175,0.093694866,0.0665671,0.05110194,0.05375832,0.07373115,0.10048929,0.1162091,0.11099231,0.08932481,0.06872504,0.06174748,0.06793385,0.07414997,0.07032474,0.055463593,0.037459377,0.02327323,0.016350655,0.017663825,0.02793947,0.046696395,0.069698885,0.09191821,0.10980973,0.12345812,0.13254483,0.13620582,0.13491978,0.13298534,0.13694914,0.1490098,0.1670521,0.18257964,0.18783176,0.17479269,0.14421126,0.10334919,0.067501314,0.050227344,0.06114765,0.09881792,0.15066755,0.19243091,0.20302393,0.17570163,0.12547012,0.07454627,0.039589997,0.023629822,0.024850046,0.044795454,0.0879069,0.15124062,0.21692653,0.2623817,0.27683908,0.27023014,0.2586738,0.24936056,0.23652513,0.21530174,0.18925251,0.16669083,0.15139693,0.14021139,0.12959895,0.11929827,0.11382371,0.11616242,0.12575234,0.13453251,0.13401972,0.118466355,0.09215335,0.06306375,0.042264774,0.037521724,0.055188924,0.092993595,0.1407809,0.180771,0.19928129,0.19077659,0.16117956,0.12245401,0.08718091,0.06250945,0.04676589,0.035961304,0.029851854,0.03736846,0.068144746,0.12149461,0.18069237,0.22014534,0.22415327,0.19417848,0.14756902,0.100711726,0.064108126,0.040980782,0.035407823,0.05248486,0.09307253,0.14659739,0.19204421,0.21113308,0.2009816,0.1751762,0.1517617,0.13995649,0.13616998,0.12950523,0.11143437,0.08309435,0.05339503,0.032205332,0.022178205,0.019833582,0.019883486,0.02147808,0.028573984,0.047743946,0.08154409,0.123711504,0.15918691,0.17376788,0.16532971,0.14673461,0.13458388,0.13597172,0.14609385,0.16052824,0.18272495,0.21894689,0.26366067,0.29856697,0.30627072,0.28532466,0.25146604,0.22157009,0.20263316,0.1864704,0.16346945,0.12896338,0.09067055,0.05807722,0.038098186,0.030485801,0.03594425,0.059373114,0.103899755,0.16122021,0.20761155,0.22062068,0.19305097,0.14049442,0.086645074,0.05033149,0.03658713,0.042644333,0.06288659,0.09570634,0.1380005,0.18716478,0.23253417,0.26274514,0.2626361,0.22835004,0.16770856,0.102357455,0.05209205,0.026619023,0.024065763,0.040067833,0.07295898,0.12255886,0.18064626,0.23092563,0.25379848,0.24448724,0.21398194,0.18360059,0.16392946,0.1520011,0.1352088,0.10821354,0.07551871,0.049763575,0.040925052,0.053512823,0.084644586,0.12592135,0.16606028,0.1943767,0.2041372,0.19226158,0.1601292,0.11530315,0.070737496,0.04210825,0.041304,0.074305214,0.13485867,0.20594501,0.26528612,0.30002752,0.3108162,0.3059385,0.29098904,0.2676038,0.2362072,0.19897765,0.15686311,0.11290818,0.071115665,0.039345544,0.023810916,0.030506372,0.062630706,0.11862513,0.18839164,0.25639245,0.30990174,0.34334922,0.35541603,0.3453093,0.31533214,0.27365357,0.23210965,0.19744189,0.17079853,0.14949742,0.13348751,0.12069773,0.10781441,0.08945566,0.06710877,0.048954997,0.048799798,0.07469685,0.12383809,0.18009013,0.22619699,0.25198862,0.26241586,0.26794967,0.27927232,0.2939351,0.2993603,0.27824584,0.22757964,0.16658361,0.13057522,0.14919527,0.22273438,0.31809863,0.38667795,0.3987105,0.3586079,0.29776332,0.24902213,0.2330253,0.25012633,0.28484526,0.31264806,0.3178964,0.30082944,0.27151895,0.23665577,0.1951803,0.1481983,0.10273919,0.07395271,0.077348955,0.1268429,0.22385328,0.34906897,0.4606069,0.5126243,0.48165157,0.38292623,0.26263902,0.17292814,0.14532359,0.1778238,0.23864456,0.28714165,0.29685393,0.27051,0.22940552,0.19287114,0.16305177,0.13480891,0.112386994,0.115644045,0.16171521,0.2445517,0.3281748,0.36921144,0.34474266,0.26935855,0.18269198,0.12365929,0.10801995,0.12456607,0.14914574,0.16167592,0.15774481,0.14297853,0.12596504,0.10961044,0.095735915,0.08558085,0.08348457,0.09390115,0.12133473,0.16691385,0.22354834,0.27859232,0.31725076,0.33629313,0.3366345,0.3274496,0.31141356,0.29863486,0.29011336,0.2875602,0.28142276,0.2772547,0.2883769,0.32948413,0.38482288,0.4155259,0.38869122,0.31243214,0.23438047,0.20627172,0.24719788,0.32986745,0.4010444,0.41487145,0.3605145,0.26380205,0.16706862,0.10377807,0.08461838,0.09924219,0.12527265,0.14066719,0.1339254,0.11124108,0.09342808,0.10513428,0.15655297,0.23315139,0.300451,0.32733175,0.3068041,0.25655445,0.20303667,0.1635258,0.14336441,0.13841452,0.14373434,0.15777065,0.18334638,0.21739054,0.24839993,0.26295075,0.26747835,0.28149736,0.32321486,0.37966308,0.42150617,0.41819385,0.36926368,0.29718384,0.24263537,0.23642027,0.28758955,0.36984038,0.43766728,0.45043567,0.39881095,0.30793223,0.22095926,0.17739822,0.19522469,0.2610058,0.33300045,0.36654338,0.3525214,0.32938942,0.34744644,0.4148389,0.48169342,0.48863617,0.42231533,0.3324672,0.27966526,0.28858718,0.3255812,0.3417119,0.30531374,0.23245357,0.16161437,0.13355432,0.15480115,0.20540853,0.24909623,0.26648486,0.2545353,0.2255422,0.19030242,0.16135274,0.14989503,0.1640256,0.20217238,0.25621483,0.31820056,0.38463697,0.4462726,0.485894,0.48025826,0.42384997,0.3336402,0.24587256,0.18995476,0.17408901,0.18361843,0.19723032,0.2062137,0.21679945,0.2357473,0.254412,0.2525452,0.22156572,0.17350316,0.13143556,0.10560734,0.09105388,0.08182892,0.0844777,0.11509115,0.17508464,0.2435075,0.28151044,0.2687594,0.21539009,0.16219106,0.14195965,0.15915114,0.18475205,0.18607636,0.15515259,0.11534057,0.102542154,0.13148499,0.18445192,0.22151577,0.2149225,0.16849844,0.11256635,0.07570796,0.063920446,0.06389149,0.06104302,0.053629097,0.049783647,0.05681199,0.07336685,0.092488915,0.107123196,0.1163323,0.12087377,0.12517045,0.13190131,0.15020669,0.18684137,0.24342084,0.30106553,0.33080044,0.31098348,0.25128385,0.1853724,0.14807999,0.14775197,0.16974998,0.18931852,0.19488432,0.1860352,0.17174347,0.1581697,0.1520145,0.16177605,0.19287609,0.24080496,0.28262797,0.29839626,0.28096038,0.24987906,0.2234881,0.2096929,0.19587384,0.17489265,0.15329732,0.1497365,0.16974626,0.1959954,0.20087378,0.17415155,0.13411738,0.11066785,0.11844868,0.14469264,0.16439693,0.16033526,0.13573785,0.10428541,0.08237734,0.08010736,0.10470996,0.14838122,0.19130836,0.20401888,0.1798131,0.13468672,0.10161075,0.09357881,0.10366812,0.111465156,0.10951039,0.10429463,0.109910786,0.13236332,0.16366778,0.18975556,0.20315425,0.21456455,0.24032752,0.28307477,0.32118037,0.32715,0.29753825,0.2540126,0.2246268,0.21254557,0.20462644,0.18470518,0.15548,0.13003436,0.12082124,0.12865911,0.14442264,0.16107614,0.1756432,0.18848692,0.19440603,0.18915164,0.17665088,0.17125358,0.18331717,0.20613246,0.21981828,0.21088396,0.18713616,0.16842334,0.16733344,0.17513525,0.17490964,0.15703766,0.13070555,0.11008059,0.102816604,0.1025893,0.100344114,0.091723,0.08020944,0.07099568,0.06741369,0.069960356,0.07634744,0.084781565,0.09544554,0.11558043,0.14957589,0.19593398,0.2381229,0.2624983,0.2628462,0.2512927,0.24148352,0.24220638,0.24886446,0.25104806,0.24241765,0.22617406,0.21465872,0.21343166,0.21671309,0.2080472,0.18173717,0.14482677,0.113102935,0.09177811,0.07919904,0.07098382,0.06925774,0.07446602,0.0833109,0.08811101,0.086796016,0.08361126,0.08713306,0.09952659,0.11810088,0.13796653,0.15879633,0.17737766,0.18433721,0.16793592,0.12813884,0.07926295,0.039426982,0.016726973,0.007982885,0.007428713,0.015344917,0.03827365,0.079920806,0.13129824,0.1711837,0.18010427,0.15717252,0.11891276,0.0878629,0.075500526,0.08486465,0.11039134,0.14689088,0.18394841,0.21366715,0.22888708,0.2315805,0.22857161,0.23126505,0.24750014,0.27655628,0.30742946,0.3266683,0.33259377,0.338438,0.35928753,0.39170113,0.4154115,0.4117281,0.38318944,0.34418562,0.30881837,0.28110352,0.2671061,0.2718533,0.293566,0.31493136,0.3166423,0.29447874,0.26162425,0.23422603,0.2174657,0.20929633,0.21200831,0.23064773,0.26457036,0.2972877,0.31230786,0.3063024,0.29820484,0.30749068,0.33577362,0.35962698,0.3529211,0.3101789,0.25303605,0.21132858,0.19593187,0.19506186,0.18733887,0.16954975,0.15358621,0.1560803,0.17643756,0.20358713,0.22667813,0.24729562,0.27236286,0.30377018,0.3307434,0.33968544,0.32373396,0.29211804,0.25807893,0.2301559,0.20480384,0.17703289,0.14800975,0.12478774,0.111925095,0.105900764,0.09969214,0.08967516,0.076798804,0.06390085,0.050604776,0.037255395,0.025831437,0.023171658,0.03478188,0.06057033,0.09069035,0.11095532,0.11273237,0.09987923,0.0851908,0.07844651,0.08073485,0.085792236,0.09093975,0.09644422,0.108576804,0.13031359,0.16938813,0.22566684,0.29402733,0.35050464,0.3752365,0.36103186,0.3280401,0.30166662,0.3006873,0.32795948,0.37631702,0.4281334,0.45718503,0.44312063,0.3851188,0.3064044,0.23279808,0.18205619,0.15642107,0.15377747,0.16382335,0.17416787,0.17144026,0.15452127,0.12998037,0.10878014,0.09501933,0.090160914,0.09261706,0.10432663,0.12722231,0.1635958,0.20625252,0.24217117,0.25761065,0.25320977,0.23868336,0.2241884,0.21066023,0.1972674,0.1875323,0.18995519,0.20814691,0.23763263,0.26402366,0.2751067,0.26510182,0.24489605,0.22991906,0.236795,0.26740023,0.31705117,0.37021467,0.4147385,0.43846902,0.43892503,0.41653144,0.3779572,0.33215436,0.2924784,0.2715759,0.27702942,0.30614367,0.34521,0.37356958,0.37310255,0.3421948,0.2963284,0.26037687,0.2456618,0.24747221,0.24673587,0.23153342,0.20043473,0.16700296,0.14789571,0.16051556,0.21080609,0.2879958,0.35868278,0.38626048,0.35469592,0.28608218,0.22352467,0.20033735,0.21734183,0.24832924,0.26354995,0.24887186,0.21005191,0.16368945,0.12701008,0.11328017,0.1262029,0.16067404,0.19868506,0.22405124,0.22571285,0.21171415,0.19247156,0.17959034,0.17028646,0.16294676,0.15492381,0.15198414,0.15610467,0.16888626,0.18701476,0.20724835,0.22198297,0.2261197,0.21829297,0.20817558,0.20105125,0.19651294,0.18153654,0.15443708,0.12533566,0.114968516,0.13095191,0.16527359,0.20540197,0.2460327,0.2872649,0.32030246,0.3303739,0.3127558,0.28192246,0.2617481,0.25957227,0.2648296,0.26009423,0.24445136,0.23407851,0.24646032,0.2834958,0.3220155,0.33991122,0.3298281,0.31858587,0.33074853,0.37358475,0.41316006,0.413751,0.3578682,0.26977128,0.18565609,0.13274361,0.112640865,0.115672946,0.13427217,0.16603507,0.20462392,0.23506467,0.24279942,0.22873743,0.20914485,0.203795,0.21841128,0.24586809,0.2744961,0.30159855,0.33422312,0.37887678,0.42635477,0.44976667,0.425409,0.3573666,0.28083,0.2378531,0.24932234,0.30318868,0.36306867,0.39044356,0.36828136,0.31410685,0.2643328,0.24589284,0.25632998,0.27051356,0.26893616,0.24950778,0.23597682,0.24590333,0.2838318,0.32064772,0.3312706,0.3074055,0.27638054,0.26290727,0.26850155,0.26802823,0.24313372,0.20464154,0.17855738,0.17855085,0.1890318,0.18863823,0.17272018,0.15967895,0.16601725,0.1890946,0.21051712,0.2167027,0.20787919,0.19178204,0.1743335,0.16197263,0.16466437,0.18919714,0.22728442,0.25461316,0.24976182,0.21142305,0.1645442,0.14110155,0.15924002,0.20806308,0.25788414,0.2811875,0.26983175,0.23387189,0.19091095,0.16117676,0.16403647,0.21046479,0.28822076,0.36335993,0.39874497,0.38035575,0.32229614,0.2535173,0.19659902,0.16180825,0.14831924,0.15221483,0.16529964,0.18228371,0.20234919,0.23945224,0.30772242,0.4094448,0.51204735,0.56638473,0.53457826,0.427103,0.29381606,0.18956207,0.13620159,0.11850459,0.10956108,0.09525386,0.080863,0.07551243,0.080996685,0.08982947,0.09810736,0.10987725,0.13340344,0.16725181,0.1967733,0.20439361,0.18567319,0.15676868,0.13862242,0.13977337,0.14787784,0.1483519,0.14029878,0.13729636,0.14807408,0.16484939,0.17189765,0.16312,0.14688803,0.13638198,0.1366582,0.14362626,0.1478052,0.14235441,0.12724872,0.11041242,0.10296587,0.11074249,0.13195956,0.15659422,0.17358704,0.17475933,0.16389954,0.15489852,0.16196913,0.18742955,0.2217033,0.2579478,0.29524398,0.33054337,0.3487171,0.33365765,0.28868517,0.23744328,0.20574321,0.19945757,0.20597379,0.21032827,0.20474851,0.19109917,0.17022924,0.14710052,0.12634954,0.117190085,0.12422013,0.14695387,0.17875214,0.206131,0.21874984,0.21232837,0.20533453,0.22111207,0.27389368,0.3415849,0.38339117,0.36878657,0.30579156,0.2345006,0.19137685,0.18649912,0.19595118,0.19539677,0.17653406,0.16194801,0.1733694,0.21572731,0.2609289,0.28092512,0.26841325,0.25139308,0.25811812,0.29256845,0.32408845,0.32189348,0.27955547,0.22202702,0.1770196,0.15554772,0.14990465,0.15429014,0.17614315,0.2235419,0.2887639,0.33966938,0.34920478,0.3103886,0.2491699,0.19310188,0.16016583,0.1476609,0.15113305,0.16794348,0.19328076,0.21598089,0.22457255,0.2280515,0.24398403,0.28186676,0.31782544,0.32348955,0.29192758,0.25546747,0.2459004,0.2653108,0.27952537,0.2588419,0.20323484,0.14108469,0.09992897,0.08961841,0.10421061,0.129497,0.15106559,0.15608764,0.14391972,0.123416096,0.10816301,0.10303264,0.10417217,0.10508323,0.1022658,0.098080434,0.094655626,0.09489098,0.09648293,0.09694573,0.09153382,0.08116222,0.06911167,0.061358973,0.05988121,0.064134836,0.07180048,0.081585705,0.091820925,0.10119912,0.10890764,0.11738277,0.12814008,0.14123188,0.15244628,0.1613791,0.16930209,0.18123548,0.19350697,0.20202751,0.20034713,0.19651324,0.19949543,0.22129004,0.25774014,0.3012532,0.3366792,0.35677063,0.355298,0.33451024,0.30137995,0.26877514,0.24769056,0.23818292,0.23239197,0.22149263,0.21121989,0.21514009,0.24216254,0.2807463,0.31064817,0.32404876,0.3343285,0.35414708,0.37692186,0.38318422,0.37054515,0.35406718,0.34557927,0.3333714,0.30285898,0.25955227,0.2276029,0.21928263,0.22259207,0.2156613,0.19240868,0.16174781,0.13671742,0.12291356,0.12650102,0.15030028,0.19104737,0.22919984,0.24825545,0.24433748,0.23383284,0.22714776,0.22133285,0.2024589,0.172105,0.14811887,0.14909236,0.17143627,0.19474043,0.2045632,0.20428997,0.20459287,0.20474975,0.19675331,0.1792181,0.16249378,0.15428883,0.14874382,0.13518481,0.11469274,0.10362357,0.11836784,0.15791139,0.20345895,0.23383768,0.24311711,0.24326025,0.24976945,0.268239,0.2884405,0.29574475,0.2783186,0.2373147,0.18770362,0.15917617,0.18408914,0.27639064,0.41833434,0.5632636,0.66506773,0.69839686,0.66967577,0.6007212,0.5152607,0.42616364,0.33895,0.25772804,0.19282337,0.15658914,0.15554266,0.17998095,0.20825036,0.21722741,0.19819374,0.1593575,0.12071972,0.10212609,0.115366854,0.15650405,0.20503964,0.231906,0.21927272,0.17214006,0.113748394,0.06561046,0.036754034,0.025334047,0.028293232,0.042485286,0.06321642,0.08261323,0.0947021,0.096506394,0.08872437,0.07388546,0.05823278,0.048916433,0.049254593,0.0550247,0.059500318,0.06136569,0.066385664,0.08090974,0.10402489,0.12895815,0.14969538,0.16671713,0.18239276,0.19469742,0.19448505,0.1743079,0.13550891,0.09129596,0.058083627,0.04902157,0.06716552,0.10613555,0.15165783,0.18809123,0.20419551,0.19608653,0.16732568,0.12639882,0.08461335,0.05118235,0.03189667,0.030526316,0.054318964,0.1096516,0.19284172,0.27989936,0.33596984,0.33505985,0.27849665,0.19291218,0.112653695,0.06336526,0.056539673,0.09251056,0.1618523,0.24270618,0.30723,0.33255467,0.3171353,0.27707714,0.235739,0.20534672,0.18703078,0.17489211,0.16582401,0.15643619,0.14323069,0.12210723,0.09683251,0.07780985,0.07632441,0.09232997,0.1133258,0.12304703,0.114891656,0.09630687,0.080556035,0.07556853,0.07900921,0.084040165,0.08589368,0.08497856,0.08339721,0.08207629,0.079412475,0.07355357,0.065357,0.061799586,0.07596036,0.12063927,0.19647677,0.28655955,0.3611283,0.39555463,0.37962112,0.32360965,0.24806078,0.17814024,0.13087933,0.111908145,0.113734044,0.122132815,0.12396299,0.11321578,0.09456107,0.0799402,0.081091724,0.100633144,0.12989815,0.15835546,0.18388082,0.2131194,0.2465362,0.26930627,0.2618858,0.22154371,0.16954988,0.13142556,0.11619589,0.11146628,0.10369625,0.09048989,0.08253511,0.08606578,0.09789553,0.10494701,0.0996091,0.08214789,0.062329795,0.047893886,0.042475626,0.04325663,0.04743814,0.054186653,0.06399352,0.074469514,0.07981988,0.07664501,0.06853668,0.06296026,0.063582905,0.06624686,0.065330274,0.05852541,0.048777778,0.0387247,0.030317418,0.024925366,0.025777886,0.033820797,0.046484243,0.056507736,0.05964129,0.055996716,0.05132738,0.04935153,0.05046175,0.051160235,0.04910044,0.04483019,0.041787013,0.043158215,0.049817264,0.05948107,0.06900987,0.07497371,0.07533159,0.06870726,0.057391915,0.046839505,0.04351755,0.04904726,0.058232743,0.06359166,0.060958777,0.052633766,0.044941902,0.046558514,0.06616617,0.105316155,0.1522732,0.18428843,0.18640476,0.16516374,0.14320439,0.1373912,0.1452683,0.15309991,0.15087597,0.13963147,0.1258035,0.11513904,0.10836968,0.10312352,0.09463471,0.08149514,0.06531266,0.05153234,0.044038832,0.04377039,0.04790021,0.05204552,0.053153545,0.05112879,0.050167337,0.056569327,0.07450802,0.10020987,0.12387941,0.1369893,0.14145412,0.14382662,0.14743616,0.14595984,0.13440005,0.11415314,0.093687356,0.078154676,0.06907921,0.06678463,0.0748763,0.09502703,0.12311387,0.15032111,0.1723197,0.19078605,0.20721275,0.21495669,0.20607592,0.18126301,0.15190405,0.12826525,0.11193325,0.09856204,0.08554587,0.074058175,0.066616505,0.06528553,0.07120616,0.08332352,0.09705003,0.10580871,0.104910016,0.094887115,0.08048456,0.06753418,0.058982696,0.054841653,0.05328065,0.053711843,0.056691304,0.06329597,0.07313686,0.085150786,0.09977951,0.120112695,0.14791553,0.17778645,0.19753273,0.1979928,0.18273447,0.16342346,0.14869295,0.13554995,0.11951968,0.10126573,0.08880172,0.088744946,0.101793416,0.12845086,0.16636418,0.21620315,0.26597843,0.30431747,0.31702912,0.31211844,0.3052242,0.31484202,0.3357843,0.35018858,0.33941925,0.30492258,0.26006478,0.21928884,0.18580602,0.16009079,0.14451492,0.14652131,0.16845272,0.20441204,0.24160452,0.2654803,0.2686284,0.25312862,0.23644745,0.23627023,0.2599117,0.2918136,0.3083887,0.2940377,0.25338963,0.20455468,0.16467156,0.14153391,0.13111265,0.12682022,0.12112829,0.1121657,0.099004686,0.08654782,0.07828588,0.07694227,0.07809529,0.07770193,0.074915886,0.0752854,0.08379071,0.09947193,0.11506795,0.12186783,0.11660779,0.1019609,0.084155835,0.06757296,0.054027673,0.044395566,0.04068346,0.04503793,0.055890452,0.06802744,0.07523515,0.07737842,0.07790357,0.080875784,0.08399603,0.08423119,0.081570305,0.0839096,0.10141327,0.13952774,0.19021976,0.23393536,0.24979824,0.2331181,0.19663137,0.16288133,0.14564186,0.14871721,0.16403657,0.18149062,0.1885587,0.18165678,0.16408946,0.14666194,0.13482201,0.12902491,0.12483164,0.12042575,0.115026005,0.10984843,0.10547956,0.10584786,0.11398638,0.13385515,0.16077472,0.18798661,0.20433544,0.21129608,0.21752141,0.23716803,0.26855925,0.29534733,0.29554063,0.26204875,0.2086165,0.15955935,0.1350313,0.1364636,0.15111117,0.15833811,0.14938428,0.12675117,0.104008704,0.089037746,0.08473224,0.08623949,0.089579225,0.090264656,0.08808128,0.084314734,0.08276075,0.084090345,0.08659155,0.08668607,0.08364216,0.07956419,0.07722781,0.077309676,0.07807377,0.078424364,0.078286864,0.079337806,0.08162064,0.085661866,0.09041256,0.09637615,0.10166665,0.10577366,0.10628443,0.103792526,0.09795407,0.09301352,0.09273478,0.102510385,0.12069812,0.1417582,0.15571105,0.15846048,0.15283324,0.14942934,0.15538694,0.17026639,0.18496072,0.19469094,0.20090915,0.20878185,0.21414013,0.2096019,0.19425453,0.18081021,0.18292934,0.20313345,0.23514895,0.27120093,0.30573654,0.32809058,0.33054507,0.31538644,0.29893315,0.29279014,0.29535556,0.29503372,0.28764835,0.2757832,0.26187903,0.2392897,0.20516254,0.16540337,0.135508,0.12531756,0.13611232,0.16237254,0.19381244,0.21993011,0.22986017,0.22584707,0.21411116,0.20302407,0.18823595,0.16718662,0.14284801,0.1259642,0.12052274,0.119707935,0.11636084,0.108484976,0.100560166,0.09155793,0.08039156,0.06930088,0.06954769,0.09169153,0.13484706,0.18400949,0.21699107,0.22129887,0.19999652,0.16915075,0.14263813,0.12437442,0.11107122,0.105066545,0.119452275,0.16792788,0.24371485,0.3136511,0.33828792,0.3053188,0.2455718,0.20812267,0.2244455,0.27782333,0.32732955,0.33654895,0.3116682,0.2775005,0.25724688,0.24498425,0.23138203,0.21451473,0.2034115,0.19730479,0.18643083,0.16656956,0.14594342,0.13557385,0.13288921,0.12746413,0.113075785,0.09608927,0.08568754,0.08385,0.08422906,0.07963183,0.06905892,0.056754608,0.048690703,0.047042567,0.050027207,0.052360896,0.050647657,0.046079636,0.0459926,0.059357245,0.08869358,0.1265886,0.15788256,0.17321654,0.17188688,0.16149096,0.14695156,0.13374665,0.12861778,0.13873224,0.16037615,0.17670865,0.16993158,0.13673551,0.09123815,0.052093897,0.030884093,0.030365432,0.048372358,0.07814909,0.107112445,0.120875895,0.11284246,0.08830724,0.060526643,0.041166373,0.035797782,0.042786103,0.05538247,0.06446815,0.06350299,0.05235839,0.036515903,0.022584477,0.015633827,0.0204157,0.0436361,0.08977606,0.15498763,0.22203737,0.2676946,0.2735911,0.23845859,0.17711546,0.11297459,0.06506596,0.042560384,0.042975426,0.05634308,0.06894332,0.07100246,0.06074461,0.044679824,0.033333927,0.037741844,0.06971892,0.13345718,0.22159295,0.30825683,0.36579016,0.3736517,0.33481744,0.26882628,0.20529817,0.16302262,0.14321972,0.13408397,0.13021903,0.13710183,0.16308881,0.20224714,0.23980851,0.2619171,0.2686921,0.26612508,0.25812286,0.2413315,0.21113439,0.16931628,0.12366047,0.083398014,0.052764844,0.031468485,0.017423894,0.009376066,0.0081378855,0.01646506,0.037011918,0.068560176,0.10309609,0.1305613,0.14493753,0.14931463,0.14870882,0.14476676,0.1319953,0.10739917,0.07437598,0.043797467,0.024627222,0.019414186,0.024212435,0.03375673,0.046660755,0.06392926,0.085312046,0.1043452,0.112950124,0.10845228,0.09699619,0.088142134,0.08588454,0.08782258,0.08898159,0.089164406,0.09323587,0.10618041,0.12607078,0.14183924,0.1419376,0.12331035,0.09445115,0.066437796,0.045102924,0.029723011,0.018354164,0.0123358825,0.016599061,0.037734147,0.07728994,0.12768047,0.16978216,0.18534385,0.16680115,0.1253813,0.07945373,0.046400648,0.035424963,0.054198623,0.10507431,0.18122716,0.2573408,0.30316165,0.29742992,0.24554946,0.1702745,0.09966893,0.050088782,0.026315825,0.025948435,0.045188975,0.07827112,0.113948904,0.13761489,0.13793711,0.1148386,0.07902476,0.044608533,0.02075524,0.008600294,0.004448406,0.0037691446,0.0038713915,0.003691828,0.0041811373,0.010247563,0.031961188,0.08209994,0.16340816,0.26265386,0.3477552,0.39218548,0.38387728,0.33988997,0.28125378,0.22764023,0.17916857,0.13376683,0.08860668,0.049857292,0.022360483,0.0078400755,0.0032494662,0.0058383034,0.014813396,0.028740657,0.0435136,0.05234894,0.051604714,0.042537477,0.030869603,0.021477828,0.017964648,0.023269737,0.040096235,0.06725343,0.09795716,0.12421787,0.14239882,0.15431382,0.1596945,0.15439945,0.13285865,0.098098844,0.059756126,0.029537624,0.01174304,0.00452065,0.0025895752,0.0023031628,0.002091339,0.0036306742,0.012019336,0.035328925,0.076660775,0.12739651,0.16626716,0.17427646,0.1481595,0.103306144,0.060009092,0.031886384,0.023087457,0.035180137,0.06605839,0.1091032,0.1476025,0.16643195,0.1565702,0.124700695,0.08399249,0.049758103,0.029382749,0.022888532,0.025894707,0.03658371,0.058650255,0.09443895,0.13783367,0.17223085,0.18401907,0.17195223,0.14846472,0.12695576,0.115547515,0.11686397,0.1327211,0.1611626,0.1923669,0.20892197,0.19676793,0.1556675,0.10174891,0.057807982,0.042299002,0.060651522,0.10295414,0.14586334,0.16446185,0.14726405,0.104181774,0.05700381,0.023178129,0.006408855,0.001066531,0.0004153933,0.0024148421,0.009866803,0.02924458,0.06479573,0.11285522,0.15788119,0.18165173,0.177054,0.1576733,0.14844428,0.16479404,0.20149793,0.23884726,0.26291382,0.2705672,0.2654651,0.24713214,0.21388394,0.1674646,0.116008066,0.06965999,0.03641176,0.020906752,0.026405498,0.05338836,0.097492725,0.14564101,0.1835557,0.20317388,0.20933177,0.21064307,0.2112136,0.20891468,0.20480295,0.20707516,0.22143608,0.24060094,0.24567871,0.22476475,0.18230961,0.13653411,0.10156237,0.081401296,0.06978602,0.0599952,0.04848038,0.036701005,0.028100708,0.025843171,0.030971771,0.042015802,0.055069607,0.06553364,0.07006155,0.06803265,0.0604988,0.049147937,0.035824608,0.022881947,0.013113859,0.009927574,0.017677026,0.040457245,0.07807676,0.12372681,0.16629286,0.19817956,0.21841937,0.22979476,0.23125029,0.21748382,0.18459724,0.13728954,0.087465316,0.047898125,0.026518896,0.028147591,0.055151593,0.10508102,0.1641653,0.21325755,0.23791796,0.24029426,0.23016565,0.21648102,0.19750746,0.17003207,0.13287108,0.09218822,0.055104557,0.0277498,0.011220249,0.003531696,0.00088510633,0.00047797206,0.00072767213,0.00108287,0.0021269035,0.0058625466,0.015651798,0.03184775,0.049872685,0.060183913,0.05699006,0.041861866,0.024321718,0.014313956,0.019289294,0.042354837,0.08188546,0.12992676,0.17291196,0.19679312,0.19315057,0.16339613,0.11874908,0.075059675,0.0456847,0.03490668,0.03765058,0.043922383,0.04514329,0.038710844,0.027614234,0.017676534,0.0127479695,0.016138481,0.033205364,0.0741429,0.14233,0.22659595,0.2993017,0.33860043,0.3396803,0.31753254,0.28873822,0.26387182,0.24407302,0.22716254,0.21111779,0.19795996,0.1900546,0.18857962,0.18855478,0.18577696,0.17402112,0.15107988,0.1160235,0.0758303,0.04187712,0.02715768,0.040690355,0.08219147,0.14011528,0.19443555,0.23058955,0.25017467,0.26731288,0.29105595,0.31294346,0.31451938,0.2885841,0.24812399,0.21782923,0.21234964,0.22977513,0.25550488,0.27416477,0.27746412,0.26720402,0.25622925,0.25519082,0.2657915,0.2715979,0.25660214,0.2120168,0.15288438,0.10284836,0.089048795,0.11799351,0.17714716,0.23296316,0.25578123,0.23083721,0.17134751,0.102330446,0.04823472,0.016756153,0.003976446,0.00044130321,4.950592E-05,0.0020573777,0.01118438,0.035581738,0.077138565,0.12501776,0.15586512,0.15241791,0.11641448,0.068571396,0.02996523,0.00981677,0.0060077864,0.01496381,0.035670992,0.06721276,0.10501683,0.14224333,0.17279072,0.192997,0.2005833,0.1943108,0.17411186,0.14284642,0.1051882,0.06812063,0.037308346,0.017595986,0.010902978,0.019142335,0.041111443,0.07230111,0.10276395,0.12458017,0.134189,0.13464321,0.12816116,0.11629351,0.0989239,0.07838418,0.057353273,0.03882819,0.024432281,0.014819495,0.009816915,0.009826278,0.017126685,0.033694167,0.057438195,0.07984712,0.09060789,0.08447371,0.06501247,0.041281376,0.021417908,0.009046634,0.0034710017,0.0024905766,0.0038749687,0.006031064,0.00839292,0.01244013,0.022390671,0.04169157,0.06892393,0.0946665,0.10785606,0.10266045,0.08351866,0.059549782,0.038497783,0.022943517,0.013697154,0.013613756,0.029239053,0.06506432,0.117676,0.17232592,0.21238655,0.22702688,0.21732254,0.18863012,0.1486615,0.103844196,0.064032234,0.038336996,0.034580927,0.050994206,0.07788999,0.09769976,0.098899625,0.0798588,0.05185679,0.026441487,0.01086129,0.004988361]