[0.44173235,0.42272675,0.38224098,0.33146235,0.28474152,0.24520552,0.20889765,0.16780011,0.12464174,0.091886364,0.08279526,0.09825468,0.1232855,0.13745408,0.12808481,0.098399915,0.061850388,0.032516647,0.017803738,0.019771697,0.037064884,0.06479163,0.09172807,0.10531754,0.099785924,0.08362926,0.07142967,0.07271233,0.08194221,0.08674724,0.07788853,0.059914242,0.045370195,0.046864998,0.06400096,0.085363,0.095359206,0.09104966,0.083255336,0.089509964,0.11617162,0.15420972,0.18569593,0.19779928,0.19058795,0.17320782,0.15744132,0.14796592,0.14526398,0.14435677,0.14576139,0.14825946,0.15513688,0.16135645,0.16567661,0.1622582,0.15247251,0.13454351,0.11193747,0.08791801,0.07002216,0.0636909,0.0698317,0.0819907,0.08968041,0.08483193,0.06728516,0.04518989,0.030201482,0.03184112,0.052441407,0.08694541,0.1238505,0.15157504,0.16102995,0.14958073,0.12017554,0.08319207,0.05297631,0.043986905,0.06287678,0.10578386,0.1600235,0.21088648,0.2499588,0.27451542,0.28824392,0.29256454,0.2911546,0.28353858,0.2716556,0.25689363,0.24794853,0.25469497,0.27899528,0.3078568,0.3181014,0.29747435,0.249964,0.19981991,0.17095637,0.18026595,0.22260813,0.28128204,0.33563185,0.3784196,0.41129747,0.43903968,0.45492664,0.44730446,0.40742466,0.34157762,0.2647538,0.19162524,0.1346236,0.10560987,0.11572683,0.16026287,0.21832807,0.26438454,0.29144123,0.3102311,0.3310016,0.34573963,0.33666512,0.30082485,0.260815,0.24765456,0.2731314,0.3199192,0.3598034,0.37305567,0.35894024,0.3247905,0.2829067,0.24377525,0.21881998,0.21117644,0.21677195,0.2236082,0.22384526,0.21475822,0.19992256,0.17934309,0.15158227,0.11606326,0.08083336,0.057525486,0.055244725,0.07626397,0.11893988,0.1793921,0.24550109,0.2969621,0.31247377,0.28859726,0.24012208,0.1918965,0.15829886,0.14245367,0.13877082,0.14244397,0.14902087,0.15472676,0.15793104,0.1596241,0.1620341,0.163769,0.16092394,0.15098742,0.13674895,0.1232771,0.11320815,0.10447236,0.09560061,0.08896341,0.09040672,0.1016453,0.11697689,0.12541136,0.118825436,0.09692007,0.06781728,0.042764142,0.031778898,0.038225006,0.058629055,0.0828664,0.10086715,0.10622946,0.099645816,0.08530762,0.06946803,0.058199976,0.05708784,0.06826567,0.08883521,0.11248988,0.13343696,0.14856552,0.15686022,0.15797007,0.15296121,0.14458226,0.13617016,0.12931757,0.12262992,0.114476025,0.10472804,0.095559545,0.08738586,0.07791213,0.06385585,0.046542246,0.032033287,0.029408857,0.044752944,0.08315404,0.14317566,0.21558411,0.27695915,0.3064054,0.30163375,0.28688273,0.28924048,0.31430164,0.3427101,0.35072562,0.32872915,0.2812483,0.2192172,0.1531118,0.09386156,0.049074307,0.023737652,0.017906778,0.03209121,0.06263864,0.102412425,0.13748209,0.15832722,0.16194193,0.15434082,0.14011212,0.121872224,0.10050719,0.08046219,0.06749007,0.06426639,0.06731575,0.069127135,0.06412951,0.051771462,0.036297515,0.023058975,0.016997484,0.021817362,0.038950417,0.065122,0.09225083,0.11269335,0.12428082,0.13096474,0.13545245,0.1369041,0.13237774,0.12408026,0.11689446,0.11492094,0.11723432,0.12066742,0.122755654,0.12176617,0.11839495,0.11428984,0.11322103,0.11469123,0.11541095,0.11109664,0.10614395,0.109779924,0.1304891,0.16212529,0.18875651,0.19229601,0.1710317,0.1390269,0.11668757,0.11098114,0.111771286,0.1030112,0.0794985,0.04954425,0.025442118,0.012360911,0.008019806,0.0075305696,0.009285745,0.016088894,0.03388253,0.06646982,0.111038476,0.15721172,0.19517396,0.22060181,0.23677413,0.24511991,0.2453251,0.23459925,0.21428865,0.18601973,0.15124094,0.11159047,0.07201972,0.04012238,0.020474585,0.0125974305,0.013135828,0.019614087,0.031594966,0.04587941,0.0572394,0.058590848,0.049377665,0.033596292,0.019189147,0.00982898,0.0058993916,0.0047620325,0.005323391,0.00801907,0.016343584,0.034523733,0.06712374,0.11182726,0.1601904,0.19764136,0.21673016,0.2187071,0.21312636,0.20553114,0.19615375,0.18280886,0.16761696,0.15616848,0.15347843,0.15896578,0.166511,0.16563176,0.14934804,0.11748535,0.07947086,0.045845762,0.023558097,0.011954937,0.0073455446,0.007217091,0.014055918,0.035152983,0.07556482,0.1301182,0.1800121,0.20336747,0.1899008,0.14757647,0.09600624,0.052345287,0.02472918,0.014594901,0.025451757,0.06716613,0.14464597,0.24700372,0.34306633,0.4047314,0.42582563,0.42419168,0.4234277,0.4257209,0.4198047,0.3839341,0.3219415,0.24810338,0.18883221,0.14870147,0.12494224,0.11317607,0.12126503,0.15160877,0.18813305,0.20201851,0.17699383,0.12307278,0.06753826,0.03351402,0.031015897,0.05818996,0.10502087,0.15564561,0.19551212,0.22069184,0.23920023,0.25915205,0.28211525,0.30192474,0.31668857,0.32475117,0.3252604,0.3092943,0.27521303,0.2308569,0.19914472,0.19371112,0.20851676,0.21619202,0.19417357,0.14294656,0.083426744,0.037986424,0.013651191,0.00598933,0.008566811,0.021252958,0.04507139,0.07520873,0.09856847,0.102220304,0.084278084,0.056535915,0.036760014,0.037271395,0.05895233,0.092950046,0.12680711,0.1519904,0.16552831,0.1689685,0.16394335,0.15242262,0.13550422,0.114312105,0.0892212,0.062433004,0.03789431,0.019770818,0.009376832,0.004966771,0.004505808,0.0076080016,0.016065763,0.029187804,0.04397516,0.05651486,0.07156113,0.1008904,0.15581934,0.23197751,0.30625436,0.35053086,0.34918365,0.31099966,0.2562389,0.2041411,0.16278803,0.13627355,0.12746014,0.13580756,0.15390062,0.1707594,0.18045878,0.18364723,0.18485291,0.18543655,0.18483478,0.17891765,0.16530226,0.14099298,0.108567186,0.07285691,0.042033855,0.020483125,0.010023523,0.010194044,0.023248082,0.050607532,0.09019888,0.13111417,0.16105497,0.17138231,0.16454847,0.14783663,0.13006122,0.116214365,0.10902891,0.10760376,0.10726568,0.10126329,0.085256495,0.0615419,0.03691772,0.018306745,0.009322835,0.011393172,0.025993338,0.050341215,0.076683976,0.091881275,0.09211891,0.08323785,0.08096417,0.09111928,0.11065829,0.12635678,0.1322071,0.12741765,0.11837959,0.107801706,0.097206146,0.08645406,0.07869188,0.07704907,0.08170423,0.086937286,0.08511523,0.07388698,0.060536105,0.05760312,0.07195357,0.097853325,0.121305205,0.13161735,0.12963735,0.123288065,0.118799545,0.113797046,0.10307359,0.085043885,0.0665831,0.056740046,0.06061988,0.07550795,0.093882136,0.10735416,0.1094028,0.09769998,0.075013004,0.04930991,0.030451432,0.02743492,0.045850236,0.084853925,0.1364816,0.18585984,0.22034802,0.23148875,0.22103262,0.19455607,0.16513933,0.1434757,0.13687794,0.13979544,0.14273743,0.13541207,0.11666422,0.090773135,0.067938544,0.057628125,0.06257709,0.07537777,0.08192862,0.07749165,0.070088334,0.07672143,0.10334205,0.14153123,0.1736319,0.1904831,0.1940452,0.19357693,0.1916311,0.1854086,0.17037149,0.1527137,0.14431244,0.15662153,0.18639849,0.21917807,0.23773555,0.23913153,0.2332746,0.23014288,0.22631486,0.2110426,0.18372338,0.15457326,0.13326347,0.11487949,0.091484606,0.061350357,0.034348633,0.020945497,0.029303143,0.062166017,0.11349422,0.16410787,0.18827365,0.17329054,0.13285057,0.10214117,0.11249926,0.16790652,0.23854585,0.2830342,0.28045705,0.24788345,0.22234006,0.22732465,0.25706768,0.28939208,0.31016186,0.31764376,0.31457004,0.29779452,0.26215464,0.21228026,0.16675572,0.155897,0.19711363,0.2825339,0.3712089,0.4231025,0.42180672,0.38974142,0.35542175,0.333092,0.31162107,0.27986905,0.23509471,0.18697803,0.14130515,0.10179477,0.069033325,0.04963487,0.05150798,0.08059785,0.13151598,0.1887785,0.23205249,0.24826778,0.2336464,0.19712947,0.15423307,0.12660256,0.12766181,0.15659778,0.19517033,0.2212952,0.22057982,0.19178228,0.14455843,0.094411545,0.057746723,0.047667097,0.067400716,0.11276978,0.16811393,0.21813214,0.24498002,0.24382561,0.21566968,0.17529589,0.13735192,0.11618355,0.11315421,0.11957222,0.12056443,0.107868336,0.083643265,0.05669621,0.034477744,0.020382775,0.01598235,0.023218533,0.042262226,0.070170276,0.10187199,0.13514075,0.16975726,0.20418648,0.23194993,0.24660803,0.24805202,0.24432565,0.24628927,0.25709417,0.27094695,0.27271357,0.25431687,0.2150238,0.1674728,0.121223785,0.0851621,0.06263691,0.058328602,0.07078418,0.09026476,0.10108247,0.09307761,0.06917077,0.04127393,0.020339413,0.009842127,0.009968734,0.024340607,0.061847907,0.12524085,0.20198716,0.26479328,0.29461396,0.29145208,0.27366796,0.2510007,0.22248232,0.17949826,0.12675688,0.075531684,0.038480785,0.01741384,0.008421247,0.0051787477,0.004076045,0.0044652727,0.008690433,0.02091439,0.042527553,0.070007674,0.096212596,0.11938834,0.1449798,0.18146373,0.22952415,0.27949145,0.3144994,0.31807593,0.28470543,0.22694373,0.1745354,0.15499008,0.1743664,0.21208715,0.23919535,0.2395419,0.21668597,0.18328804,0.14855437,0.11473913,0.08382189,0.06164903,0.05619222,0.06890833,0.091134526,0.10742485,0.10639123,0.0872117,0.059234712,0.033432152,0.016333858,0.007853195,0.005509469,0.0077939555,0.017128142,0.03672519,0.06791347,0.103794836,0.13364716,0.14956667,0.15812993,0.17832513,0.22251856,0.28343236,0.32767907,0.33028397,0.28465286,0.21757774,0.15379816,0.111775644,0.089399,0.08609163,0.09976985,0.13503993,0.1891303,0.2564374,0.31887117,0.36011064,0.36729273,0.34735274,0.31223604,0.27358797,0.22789992,0.17312431,0.11246454,0.060334682,0.025949081,0.013208338,0.022184396,0.05929255,0.12564021,0.20940012,0.2809979,0.3195653,0.32347122,0.3120002,0.30019915,0.2928096,0.28662208,0.27583048,0.2541971,0.21296932,0.15548648,0.093707375,0.04611822,0.018691553,0.009293226,0.012235026,0.03246828,0.07959252,0.15834625,0.24763979,0.31000772,0.30956522,0.25179163,0.17500895,0.13002159,0.13037656,0.15530193,0.164388,0.14119783,0.094215035,0.049400758,0.022860594,0.020608688,0.0419846,0.08554462,0.14560364,0.20600344,0.25016615,0.2652928,0.25422314,0.22379114,0.18528275,0.14434701,0.10605633,0.072197475,0.044561263,0.024305006,0.011688477,0.0072417,0.013672461,0.03938747,0.09241549,0.17124665,0.2562396,0.3189073,0.33760512,0.31141722,0.25722402,0.19810021,0.15270865,0.1265438,0.11417433,0.101730615,0.083566576,0.063428774,0.054258008,0.061168972,0.081210665,0.10586902,0.13035242,0.15414868,0.17684393,0.19775015,0.21329887,0.2206281,0.21626264,0.19929649,0.17142178,0.13729751,0.10584775,0.09017106,0.10323308,0.15060143,0.21955812,0.28798458,0.3303245,0.33975303,0.3187375,0.28011242,0.22896503,0.17180155,0.11421863,0.067288436,0.03961718,0.03491621,0.048950206,0.0722254,0.09265229,0.10079398,0.09351051,0.0768782,0.0631467,0.06405869,0.08443572,0.12133185,0.16853283,0.21775703,0.25522897,0.26353365,0.23146473,0.1683027,0.09796214,0.044789437,0.01608053,0.006065162,0.0041145044,0.004343967,0.00467072,0.0050368123,0.005359391,0.0057065994,0.0070725344,0.012500613,0.027314246,0.0571219,0.10285709,0.15742768,0.20410736,0.22509645,0.2107722,0.17139797,0.13247384,0.120696224,0.1456777,0.19206983,0.23214638,0.23998314,0.21031791,0.1544871,0.09562746,0.051894143,0.034174535,0.043512512,0.07437004,0.112943865,0.14319073,0.15482056,0.15182823,0.14585531,0.14838381,0.1606312,0.17698674,0.18521719,0.17803927,0.15794216,0.14259046,0.14822163,0.17596722,0.20714326,0.22311394,0.22159283,0.21517836,0.21196629,0.204423,0.17875592,0.13296504,0.08295054,0.052549366,0.060017157,0.107879214,0.18084796,0.24866498,0.281167,0.26433983,0.20758407,0.13613684,0.073542826,0.03276352,0.012419618,0.005759612,0.006444854,0.014502692,0.033515625,0.063138396,0.094245456,0.111017816,0.10453755,0.080157794,0.056640968,0.050834175,0.06735996,0.093860775,0.11193585,0.10781732,0.08379295,0.053607237,0.0361869,0.04468294,0.083307095,0.14278866,0.20213544,0.23997091,0.24988669,0.24543674,0.2436084,0.24812438,0.24808608,0.23614232,0.21731131,0.20365827,0.19706178,0.18854322,0.16720347,0.13466726,0.10461449,0.08984343,0.09125921,0.09479647,0.08778759,0.06729671,0.044851106,0.033046614,0.037716847,0.053245127,0.06762301,0.071618296,0.06574132,0.062329393,0.0750683,0.10582212,0.13895337,0.15174164,0.13374718,0.093850516,0.05246982,0.025213242,0.018195624,0.03147197,0.062259763,0.10302508,0.14179905,0.16947824,0.18582155,0.19584805,0.20338471,0.20745187,0.2067713,0.20004521,0.1880119,0.1723954,0.15690978,0.14196731,0.12368331,0.09752341,0.06577321,0.036491778,0.017937561,0.014124895,0.02767635,0.05981349,0.10851853,0.16300923,0.208126,0.22812088,0.21654133,0.17613453,0.12240383,0.075283505,0.05428579,0.0659057,0.10049516,0.13491064,0.1478439,0.13578446,0.1149235,0.106999286,0.11957508,0.14085418,0.15135661,0.1387895,0.10671982,0.067826144,0.035796817,0.01607217,0.0073582972,0.004610445,0.004144009,0.00413996,0.004196187,0.004208216,0.0041555944,0.004066011,0.003994554,0.0050735683,0.011203058,0.030278005,0.07139545,0.13811894,0.22393413,0.31177947,0.38214532,0.41769668,0.40939626,0.35728142,0.273263,0.17910087,0.09735786,0.042611968,0.014555227,0.0052182586,0.006329062,0.01767294,0.04397124,0.087414116,0.1388383,0.17902936,0.19127052,0.17424369,0.14329112,0.11661583,0.10372267,0.10503617,0.11953106,0.14980155,0.19391604,0.24496298,0.28717873,0.31024954,0.3060391,0.27598944,0.2235089,0.15976183,0.09788749,0.05024175,0.021449795,0.00827554,0.004058624,0.003117715,0.0029447677,0.0028754547,0.0029734566,0.0039696596,0.008618193,0.022997111,0.05306682,0.09955934,0.15244268,0.19795036,0.22593893,0.23959611,0.24708466,0.25651953,0.26741278,0.27788997,0.28586254,0.29118946,0.28887233,0.2737346,0.24597777,0.21773416,0.2004639,0.19599481,0.19453914,0.18739736,0.17240943,0.1505975,0.124511234,0.09680573,0.07318431,0.055158217,0.042154837,0.031315234,0.023198238,0.018256405,0.016454933,0.016118305,0.016196877,0.016334096,0.016561769,0.017217347,0.020875799,0.034280695,0.067033,0.123670876,0.19729431,0.27077004,0.32935998,0.36890602,0.39343047,0.40332428,0.39029717,0.34506503,0.26953274,0.18191373,0.10631383,0.058649216,0.03832944,0.034068007,0.03410016,0.0327142,0.029711053,0.026672473,0.024600312,0.02319894,0.021696666,0.020056687,0.018886449,0.018744208,0.018742332,0.017769692,0.015604991,0.014222608,0.01584772,0.02161512,0.029778624,0.03731184,0.04160629,0.04277413,0.043187734,0.04441428,0.048539728,0.058423582,0.085589014,0.1381582,0.21975762,0.31119266,0.3911523,0.4359138,0.44475308,0.4238445,0.38888702,0.3468933,0.30153525,0.25321397,0.20486498,0.16306086,0.13378058,0.12215725,0.12813242,0.14814825,0.17388457,0.19765247,0.21585853,0.23118891,0.24844928,0.2687315,0.28466487,0.28313053,0.2543948,0.20240426,0.14357345,0.09543753,0.065255634,0.049966678,0.04375802,0.042421207,0.043601792,0.0442758,0.043052867,0.04039872,0.039536852,0.04459766,0.058561277,0.08049839,0.102205835,0.1129865,0.10635448,0.087254785,0.06730812,0.056294817,0.05597985,0.060710847,0.06406408,0.061702628,0.05533403,0.048204232,0.04409914,0.04270311,0.043326784,0.044760153,0.046748027,0.04713792,0.044086587,0.03806506,0.032962788,0.03183419,0.033719543,0.034187313,0.030333096,0.023369394,0.017832844,0.017062603,0.021138264,0.026650364,0.030162565,0.030754512,0.030919513,0.03438669,0.04182418,0.050158504,0.0541456,0.05377258,0.05592658,0.071241386,0.10259285,0.13993073,0.1656849,0.16864467,0.15200384,0.13113919,0.12283792,0.13950185,0.17941552,0.23168226,0.27548084,0.3005447,0.30413356,0.2955946,0.27963683,0.26118112,0.24253137,0.22705518,0.21184874,0.18966182,0.15366699,0.10850176,0.067762874,0.05032112,0.067334384,0.12171028,0.20188232,0.2887154,0.3545244,0.37856594,0.35256934,0.29365918,0.23012364,0.18545462,0.15895565,0.13484718,0.101348676,0.06239748,0.030564593,0.012431289,0.0058699525,0.004485303,0.004341842,0.004088188,0.0038336737,0.0037247443,0.0039200927,0.005786425,0.013647064,0.0355755,0.0780068,0.13718002,0.19522703,0.22957276,0.23092699,0.2095678,0.18731636,0.1761692,0.1738795,0.16683303,0.14677508,0.113407075,0.0758194,0.043166142,0.022134662,0.014802345,0.023271346,0.050506394,0.098814726,0.16336568,0.23056518,0.28198472,0.30482152,0.2994331,0.28009066,0.2659522,0.2672721,0.27565613,0.26909387,0.23077162,0.16675009,0.103853494,0.071167774,0.078417756,0.11194693,0.14336199,0.14976873,0.12543333,0.08402306,0.04458603,0.019325173,0.008384619,0.007745754,0.017346716,0.044315457,0.09416952,0.16084616,0.22467275,0.2647276,0.27296278,0.25497237,0.22197382,0.18248446,0.14488922,0.118017666,0.10819406,0.11388751,0.12491224,0.12989742,0.12287191,0.108851396,0.0981499,0.09958517,0.113385476,0.13301164,0.14888941,0.15290125,0.1415395,0.11699051,0.086384974,0.056940023,0.03360243,0.017695226,0.008721796,0.004733929,0.0034824542,0.0033457775,0.0043388917,0.008255792,0.017598167,0.034099985,0.057031464,0.08203433,0.102754384,0.11281916,0.11052397,0.09765314,0.0794654,0.059865475,0.04355751,0.036847085,0.048700888,0.084593795,0.13692595,0.18698348,0.21522345,0.21974461,0.21232116,0.20825018,0.2108931,0.21572591,0.2140197,0.19843097,0.16458496,0.11694307,0.06807626,0.03150366,0.011730355,0.004717056,0.0038329319,0.006445093,0.013607328,0.026913635,0.044969898,0.06335416,0.07668058,0.08148561,0.07652801,0.063173294,0.04499197,0.027303122,0.014508166,0.0077732448,0.005624568,0.0063194768,0.010151415,0.01838222,0.031381354,0.04653579,0.059564818,0.06649319,0.06649802,0.06107257,0.05327852,0.046243455,0.04342312,0.047132816,0.05555286,0.062814824,0.061714943,0.05076607,0.034043662,0.018857611,0.0090070395,0.0046349294,0.0033254817,0.0032644458,0.003504104,0.0037275013,0.004071353,0.0051602516,0.008209609,0.013815532,0.021823583,0.031113409,0.04075451,0.048989054,0.053205326,0.05049874,0.04075079,0.027750699,0.01796647,0.017894054,0.0318105,0.060297698,0.097846664,0.13387477,0.15675008,0.16102038,0.14917696,0.12822045,0.103704154,0.077990666,0.05293146,0.031255987,0.015996149,0.0075338506,0.0042140936,0.003418701,0.0039077033,0.005874792,0.010929692,0.02011326,0.03278914,0.04649347,0.059665278,0.072501205,0.085642874,0.09727747,0.1037952,0.103048086,0.09626635,0.08690163,0.076717556,0.06551016,0.05191804,0.036919955,0.022933247,0.013321678,0.010193716,0.015537093,0.02966702,0.050084714,0.06938704,0.07959131,0.07703425,0.067039914,0.059067514,0.06077701,0.0703528,0.0808523,0.08498452,0.083840884,0.08149765,0.08071736,0.077172495,0.0662914,0.04819271,0.028933303,0.014762898,0.008406189,0.01058004,0.02276264,0.046474848,0.07871201,0.10993731,0.12760039,0.12458337,0.10342616,0.07564933,0.053289462,0.0431889,0.044107128,0.05093215,0.05871891,0.06428107,0.0652472,0.059503283,0.047449756,0.03313196,0.022681525,0.020087523,0.024936976,0.03411797,0.045481574,0.058567975,0.07136319,0.078275636,0.07334725,0.05677558,0.035478946,0.01814766,0.008388335,0.0053513343,0.007371833,0.015452263,0.030538252,0.049268037,0.0633133,0.064569674,0.052434232,0.034404483,0.021542402,0.021319076,0.034851104,0.056456815,0.076446034,0.08562223,0.08075351,0.06539557,0.047019303,0.031231204,0.02143214,0.018973483,0.025650302,0.040682282,0.060683776,0.07874981,0.08999121,0.092514776,0.08997495,0.08672222,0.08657208,0.088358134,0.088560015,0.083164416,0.0729283,0.062215384,0.057385672,0.06178531,0.07831896,0.10855665,0.15616937,0.21526952,0.27112108,0.29718736,0.27994183,0.22326277,0.15336736,0.09338116,0.05766749,0.04745018,0.06217969,0.099199764,0.15247498,0.21009903,0.25638732,0.27557003,0.25908,0.2127301,0.16018924,0.12983413,0.1359443,0.1663116,0.19260542,0.19296376,0.16506334,0.12339759,0.082673214,0.05126922,0.02939426,0.015892608,0.008624664,0.005950324,0.0057747723,0.006699236,0.007836939,0.008643265,0.008757793,0.008610769,0.011054707,0.02276957,0.05156823,0.10001943,0.15908311,0.21383595,0.2523955,0.2724934,0.27256778,0.2500464,0.20637913,0.15813792,0.12624398,0.1190218,0.12199006,0.11519709,0.090246536,0.056778967,0.028659789,0.015257288,0.019121628,0.040892135,0.07694085,0.11728399,0.14636256,0.15341271,0.13764302,0.10809872,0.07498699,0.046025705,0.024637364,0.013142996,0.012771626,0.024989774,0.04577734,0.06672689,0.07496401,0.06641448,0.045452565,0.0246248,0.010851285,0.0053858883,0.0039851298,0.0038526098,0.0036942381,0.0036141647,0.0050162133,0.011810503,0.031543616,0.069713436,0.12430316,0.18178838,0.2257591,0.24654992,0.24584198,0.23273014,0.213947,0.19345139,0.1685925,0.13863872,0.10367886,0.07173263,0.051458523,0.047953833,0.059978258,0.08518373,0.1281016,0.18685603,0.24642463,0.2736485,0.25153485,0.1931854,0.14477678,0.14491284,0.20194717,0.2828653,0.34091195,0.34329167,0.29490858,0.23023175,0.18865626,0.18834044,0.2191325,0.25743556,0.28158963,0.28249082,0.26055768,0.22543462,0.19564259,0.1888253,0.21003646,0.23789208,0.24421388,0.210957,0.1502948,0.08605865,0.039911803,0.016089153,0.010927584,0.019726582,0.04098681,0.07080427,0.099009216,0.11296749,0.106502764,0.08562345,0.06459408,0.054512084,0.055962056,0.059561078,0.0561946,0.043651532,0.027565038,0.015694521,0.0149272205,0.032253504,0.07220565,0.1320784,0.1945168,0.23801367,0.24927002,0.23787034,0.22215618,0.21520181,0.21116929,0.20133479,0.1847594,0.17296048,0.17329158,0.185474,0.20124161,0.21553786,0.22041263,0.2115904,0.18883468,0.16575354,0.15580264,0.16029714,0.16418095,0.15006737,0.11626614,0.076731056,0.053973947,0.06307115,0.10620984,0.16740489,0.21922983,0.23559856,0.20858248,0.15219395,0.09143896,0.045291442,0.019315174,0.009985506,0.012712997,0.024910659,0.04221577,0.057078075,0.060800925,0.051963907,0.03827344,0.03413784,0.05127034,0.09098149,0.14275475,0.1874392,0.20899868,0.19946162,0.16413708,0.11695939,0.07759667,0.06366161,0.08081327,0.11743758,0.14775957,0.15056817,0.12231933,0.080147244,0.0461783,0.035045207,0.04748402,0.07612734,0.10928597,0.13541804,0.14575489,0.13999858,0.12970956,0.12978001,0.14595585,0.1646624,0.167525,0.14775087,0.11945627,0.09959885,0.09377658,0.09410552,0.096649736,0.10730507,0.13391268,0.17111355,0.20123254,0.20945174,0.19568688,0.1730237,0.15328844,0.13943797,0.12556568,0.105933964,0.08065497,0.057274994,0.04588889,0.050990853,0.06720781,0.08292594,0.09302792,0.105829835,0.13570958,0.18658881,0.24243402,0.28123888,0.29059052,0.27847266,0.25721586,0.23581254,0.2123915,0.1870778,0.16063021,0.13699292,0.114988185,0.09423598,0.0751984,0.062502466,0.057863817,0.058252588,0.056729276,0.048915055,0.036832426,0.026836842,0.025131712,0.03243162,0.04483698,0.055713166,0.06135139,0.061530706,0.05942899,0.057450015,0.0555175,0.05190127,0.04591782,0.04243511,0.049980234,0.077796794,0.12572621,0.18222256,0.22602601,0.24202724,0.22982438,0.20672484,0.18885277,0.1817103,0.174556,0.15865396,0.13231124,0.103711635,0.07861102,0.05870462,0.04283264,0.03129231,0.02585373,0.026365401,0.029779898,0.031150483,0.027755199,0.020495446,0.012811672,0.0073588765,0.0051393043,0.006256648,0.011798789,0.022272984,0.03708827,0.052707184,0.066612326,0.07661385,0.082969196,0.08407811,0.07914076,0.06782195,0.055148136,0.04966488,0.061734032,0.09276887,0.13195568,0.15783004,0.15705454,0.13278429,0.10302013,0.081560515,0.06939515,0.05878994,0.044912606,0.030949352,0.02245834,0.021549404,0.024626657,0.026295923,0.023667037,0.017636342,0.0113848485,0.0071430095,0.006458781,0.011711307,0.028004074,0.058421325,0.09916746,0.13696934,0.15777354,0.15459462,0.1329033,0.10543821,0.08849835,0.093866855,0.12477324,0.1687644,0.20654106,0.22135271,0.21414691,0.19624989,0.18051459,0.16735806,0.15018912,0.124002434,0.09380692,0.07028711,0.06046806,0.0623088,0.067853115,0.070928544,0.070651144,0.069203414,0.06696943,0.06260004,0.055389926,0.047354475,0.041135788,0.038698323,0.043643165,0.061753366,0.0978085,0.14857803,0.20263238,0.24683428,0.2725946,0.2788371,0.267504,0.24325182,0.20937137,0.16961169,0.12663881,0.086271815,0.057344604,0.050183926,0.06788771,0.10117219,0.13034023,0.14047574,0.133061,0.12448916,0.12877928,0.14542778,0.16201924,0.16690435,0.15577382,0.13093688,0.098514564,0.06907194,0.056349915,0.07113024,0.114568315,0.1738884,0.22889292,0.26074383,0.2641304,0.24549927,0.21647556,0.18200298,0.14258257,0.09915465,0.058885064,0.029939419,0.020016696,0.035897575,0.08624072,0.16973174,0.26826286,0.34644827,0.37642422,0.3543149,0.30290148,0.25092927,0.21181582,0.18255465,0.15305352,0.12503329,0.10492474,0.09757296,0.09367806,0.08313147,0.06186129,0.037665065,0.019167194,0.01274982,0.021730006,0.0501498,0.09780877,0.15615875,0.20688456,0.23272084,0.22552784,0.19183226,0.14502591,0.098977484,0.061303686,0.03462673,0.018600453,0.013354386,0.020431656,0.040273767,0.068088554,0.0932289,0.10608954,0.10705417,0.10620137,0.11400058,0.1298033,0.14312087,0.14144117,0.12112718,0.08810081,0.053957507,0.027782837,0.0133661935,0.010169554,0.017399779,0.033549085,0.053986568,0.06939917,0.07148567,0.058923792,0.038884405,0.020679096,0.009493765,0.004855777,0.0037185634,0.0036599839,0.0036761109,0.005237792,0.012339547,0.0326595,0.070292346,0.12283558,0.1754608,0.2139005,0.227838,0.21979421,0.1938233,0.15636922,0.1135391,0.0772892,0.061397854,0.07455567,0.11308565,0.16149949,0.20093267,0.21964945,0.21573062,0.19382222,0.15852955,0.11564609,0.07261854,0.03944091,0.024456533,0.03498913,0.07524208,0.14452016,0.2292401,0.30569643,0.3457868,0.3345957,0.27741793,0.20282821,0.14672358,0.13097046,0.14970352,0.17400241,0.18260288,0.17760235,0.1857455,0.22539456,0.29042804,0.35027182,0.37464377,0.3511736,0.28692004,0.20437102,0.13033919,0.092563085,0.103452474,0.15708756,0.22453505,0.2744571,0.28340152,0.25171563,0.19261599,0.12789495,0.07246666,0.035124462,0.014820877,0.0067504314,0.004478806,0.00407251,0.0039261915,0.0038798451,0.004031585,0.0042830766,0.00445082,0.0043676873,0.0055513405,0.011210572,0.02668681,0.05308347,0.08801659,0.12300706,0.15221746,0.16796617,0.16574483,0.14181502,0.102689765,0.060695197,0.028892102,0.011357189,0.004762964,0.0031827556,0.0029875105,0.0029618302,0.0029922118,0.0031389727,0.003437384,0.0041425116,0.0067930683,0.014498495,0.03183382,0.059450287,0.09301314,0.12116309,0.13575812,0.13309126,0.118521154,0.09717461,0.074717954,0.054151732,0.039619997,0.0341441,0.03965683,0.0559457,0.07931285,0.10107485,0.109725386,0.0987415,0.072372586,0.042814743,0.021389833,0.012901929,0.017621893,0.03376176,0.05691124,0.077758245,0.08587042,0.07664795,0.055228155,0.032032143,0.015184618,0.006561307,0.003638249,0.0032281324,0.0034610971,0.0036626637,0.0036611443,0.0034645405,0.0031561805,0.0028800434,0.0027006746,0.0026426597,0.0031052872,0.0058719725,0.014560995,0.032972127,0.06159393,0.095165275,0.12454923,0.14152509,0.14461237,0.1399011,0.13857593,0.14776002,0.16696773,0.18793714,0.203957,0.21101217,0.20837486,0.19442253,0.17149083,0.14423303,0.1180839,0.09261767,0.066762134,0.04117483,0.021483831,0.012572403,0.018495545,0.040888876,0.075883485,0.110991634,0.12812348,0.11790932,0.085994996,0.04984459,0.023267748,0.010145645,0.0059180465,0.005334778,0.005461747,0.005512415,0.005460127,0.0070709772,0.013788338,0.029969253,0.053517897,0.07591978,0.084860325,0.07960731,0.07237169,0.08121607,0.11119638,0.14843188,0.17281775,0.173563,0.15977047,0.14519565,0.13941602,0.137154,0.13165544,0.11860416,0.10502479,0.09944079,0.1070672,0.1213544,0.13109124,0.12808588,0.11486742,0.10079223,0.09509551,0.10039073,0.11087773,0.11802415,0.116013594,0.10836831,0.10086357,0.09688959,0.09132975,0.0786503,0.057972837,0.03544569,0.018005729,0.008269463,0.0044769594,0.0044494797,0.009395651,0.024531668,0.05354168,0.093752824,0.1319616,0.15310109,0.1478197,0.12301362,0.096592784,0.091964744,0.12018619,0.17447709,0.22828455,0.25624844,0.24899517,0.21966803,0.18847996,0.16680153,0.15385503,0.14282517,0.13094324,0.11805308,0.10693423,0.09991672,0.09974805,0.10613557,0.11649027,0.12812272,0.14013012,0.1516269,0.1573055,0.15098737,0.12862541,0.09524589,0.059942733,0.033894252,0.02301924,0.028491924,0.04436344,0.06075118,0.06779539,0.06371576,0.056918662,0.059657205,0.07754912,0.10372359,0.12669313,0.13782851,0.13888633,0.13293011,0.122610815,0.1045435,0.079543404,0.051216736,0.02777802,0.01409994,0.013187859,0.026445365,0.05347757,0.08852873,0.119531274,0.13460581,0.12900406,0.1073167,0.08146731,0.064956665,0.068475924,0.08957061,0.11364796,0.12023454,0.10280601,0.07102317,0.04517658,0.036419526,0.042812854,0.05171183,0.052776244,0.04334624,0.028678507,0.015595141,0.00766146,0.004842616,0.0063470253,0.013633065,0.028949454,0.05314825,0.082042284,0.10844645,0.12353744,0.12313058,0.10871809,0.08982935,0.076974146,0.076349854,0.08414021,0.0923071,0.095448144,0.0944711,0.0915874,0.08512052,0.071764626,0.051688243,0.030818379,0.015369254,0.007892471,0.008322224,0.01754121,0.037639976,0.06477925,0.08838985,0.094604366,0.080354005,0.05360799,0.03121004,0.025664419,0.04568271,0.090129316,0.15119481,0.2076271,0.2384659,0.22850166,0.18446432,0.12392222,0.07003114,0.03546476,0.0261264,0.041243464,0.075668074,0.1153213,0.141533,0.14320172,0.12811624,0.11604165,0.1226042,0.1475875,0.17826527,0.20210187,0.20967881,0.20265274,0.1823165,0.15726559,0.13006167,0.11255289,0.11215199,0.13603462,0.17217438,0.20299853,0.2114776,0.19860528,0.1736657,0.14970617,0.13422166,0.1355121,0.15792745,0.19867201,0.2429297,0.27424654,0.28285906,0.2699348,0.2405712,0.20399149,0.16812699,0.13987203,0.11786225,0.10038564,0.08755958,0.08248649,0.082930356,0.0804768,0.068615995,0.049092185,0.03170329,0.024990411,0.03209989,0.051177353,0.07868773,0.10935407,0.13428746,0.14293797,0.12978272,0.09894532,0.06289966,0.033254866,0.016074687,0.0117151,0.021631664,0.04971062,0.09797782,0.1585015,0.2126066,0.2398436,0.23049611,0.19052233,0.136408,0.08485764,0.04648633,0.024998652,0.021386936,0.035709597,0.065446965,0.100953795,0.12823094,0.13720423,0.12899728,0.11186244,0.09204654,0.07087273,0.049363848,0.03410839,0.033973694,0.053082693,0.084924124,0.11714753,0.14171547,0.16040851,0.17673433,0.18544646,0.17524911,0.1437108,0.105274014,0.078787334,0.07209859,0.0760158,0.07859586,0.073110886,0.06278125,0.051692042,0.043438893,0.039223332,0.039959703,0.045476835,0.052485738,0.056777712,0.054095615,0.044808384,0.03253174,0.024432516,0.027406216,0.046244234,0.081069134,0.12655951,0.1727569,0.20697933,0.21896167,0.20582877,0.1749177,0.13823141,0.1050917,0.07761625,0.054580737,0.035418525,0.021360695,0.013099685,0.010238948,0.0127268955,0.022230374,0.040870544,0.06913084,0.10251758,0.13359456,0.15446745,0.16384883,0.16513038,0.16349344,0.15891983,0.14880396,0.13233314,0.113539286,0.097753726,0.08611599,0.07645037,0.066360824,0.057008132,0.04983604,0.044720586,0.039341375,0.032727014,0.02580805,0.020177396,0.016102826,0.013244714,0.012310115,0.015737675,0.025406668,0.040255714,0.05496052,0.063687004,0.06307703,0.05535713,0.04679741,0.048943594,0.074537404,0.13112365,0.2076139,0.27897134,0.317745,0.31815606,0.28805095,0.24339534,0.1890735,0.13253407,0.082406946,0.053854715,0.055992957,0.090384126,0.15291713,0.23238401,0.31393218,0.37417468,0.39763913,0.37901545,0.33135438,0.2695143,0.20751466,0.15435998,0.1223959,0.12132693,0.15074386,0.1932108,0.2241144,0.22594798,0.19768317,0.15112624,0.10129908,0.059590135,0.03217849,0.023960538,0.04181232,0.09297705,0.17386651,0.2626613,0.32263005,0.32650626,0.2726241,0.19109426,0.120845884,0.092212915,0.10814514,0.15110509,0.19150694,0.21112657,0.20715024,0.19278872,0.17704372,0.1623051,0.14389706,0.12386914,0.10887665,0.10300475,0.10103691,0.09182646,0.07248127,0.05063766,0.042033285,0.054759096,0.0857931,0.120616496,0.14433883,0.14806427,0.13419275,0.11497593,0.108616896,0.12589605,0.16109598,0.18942684,0.18852162,0.15300795,0.10092017,0.053715367,0.02455728,0.013771418,0.01866663,0.036530506,0.06247726,0.08584871,0.094507456,0.083881326,0.061540794,0.04235917,0.03877166,0.053985145,0.082838215,0.11558992,0.14459169,0.16474606,0.17471908,0.17261147,0.15796725,0.13179623,0.09875541,0.06545957,0.037769288,0.021528937,0.021650126,0.04474917,0.08967746,0.14688857,0.19438392,0.21607465,0.20501329,0.17103492,0.12585753,0.08222731,0.046655357,0.023185963,0.010734189,0.0072583244,0.012777202,0.032546695,0.07146139,0.12670195,0.18416207,0.22732712,0.2466201,0.2437195,0.22626044,0.20532626,0.19265221,0.19560862,0.21016042,0.21959265,0.20824139,0.17084055,0.11931906,0.069278255,0.033876825,0.0145573085,0.007413443,0.0064425603,0.010319593,0.022139171,0.046550665,0.08404376,0.12895077,0.17090118,0.20176332,0.21526515,0.20997089,0.18647452,0.15587887,0.1355313,0.1421649,0.17499171,0.21516831,0.23853235,0.23444612,0.21086945,0.18464817,0.16744332,0.16022903,0.156357,0.14826387,0.13272235,0.11198912,0.092851184,0.080489896,0.07569596,0.07730936,0.08799564,0.11691507,0.16327357,0.21149392,0.230006,0.20526074,0.14841045,0.09635513,0.07676503,0.09812566,0.14643104,0.20169638,0.24555604,0.2639726,0.25196448,0.21700984,0.18233065,0.16845246,0.1776477,0.189579,0.1860149,0.17171597,0.16791184,0.18858041,0.22031212,0.23838694,0.22492985,0.18801509,0.15205668,0.14413325,0.17269373,0.22379176,0.27155566,0.3006045,0.31149197,0.31584802,0.31902668,0.32348177,0.32701918,0.33107242,0.33055142,0.316814,0.27893764,0.21657614,0.1436778,0.08264823,0.052053694,0.056449343,0.08706558,0.12947157,0.17009813,0.20260888,0.22338355,0.2335478,0.23099773,0.2146861,0.1817128,0.13666153,0.09055748,0.05891803,0.049254823,0.05732,0.07073247,0.08191225,0.09294376,0.111936666,0.14261778,0.17815518,0.2068879,0.2199837,0.22138678,0.21922626,0.21931005,0.21847373,0.21572645,0.21788545,0.2319249,0.2511799,0.25342032,0.22178493,0.16127206,0.09709323,0.053871006,0.039079014,0.043284446,0.050373763,0.04987201,0.04010482,0.026554508,0.015161789,0.008660137,0.0061023417,0.005422572,0.0052948133,0.005287655,0.005389005,0.0055685746,0.0057831034,0.0059865876,0.006927634,0.010490186,0.02010505,0.03759769,0.06253002,0.0897929,0.11421398,0.1291893,0.13109605,0.11720082,0.09128096,0.060442716,0.03406277,0.016732851,0.00843997,0.0055825543,0.005008144,0.0050733984,0.005833318,0.008619501,0.014747704,0.025053889,0.037227437,0.04769392,0.05152859,0.047792375,0.037791017,0.026238315,0.016148979,0.009575042,0.006042358,0.006037897,0.0122903,0.030855795,0.06583998,0.112890184,0.15738635,0.18152916,0.17637639,0.14563489,0.10310816,0.06229567,0.032332174,0.01474676,0.0069975466,0.0045363638,0.004131237,0.0041595544,0.004279338,0.0044896626,0.004778618,0.004988171,0.005758617,0.009358031,0.019994577,0.040027086,0.06611749,0.08818191,0.09628031,0.08914194,0.07614001,0.070066996,0.07646505,0.09268478,0.114637375,0.14205599,0.17550164,0.20694245,0.22428258,0.21614595,0.18464784,0.1384408,0.09295728,0.059432622,0.044819582,0.045014646,0.049770687,0.04864551,0.038971603,0.025302982,0.013891171,0.007556867,0.0052756765,0.0047532883,0.0045297123,0.0042185886,0.003899159,0.0037414944,0.004316145,0.007210681,0.01513806,0.030235568,0.051161792,0.07160183,0.082806624,0.0793991,0.06305389,0.04148609,0.022713661,0.011003801,0.0058042076,0.0044922256,0.00454025,0.0047275727,0.0047062985,0.004542598,0.0043574255,0.00424038,0.0041959547,0.0041504647,0.0039868415,0.0037000019,0.0044031083,0.009594679,0.02522774,0.054544557,0.09178851,0.12187511,0.1319982,0.12443745,0.11477528,0.11558304,0.12243547,0.12010457,0.09947265,0.06676412,0.03598634,0.01624631,0.007532654,0.004991503,0.004670656,0.0052682436,0.00741805,0.012982115,0.023688272,0.039680466,0.05782804,0.07299746,0.08043304,0.07865644,0.069423474,0.05648457,0.04313487,0.031361632,0.02168365,0.014241729,0.009102908,0.0075099827,0.012834356,0.030846557,0.064338125,0.1076977,0.14766003,0.17392455,0.18783312,0.19842525,0.21092255,0.21956098,0.21342307,0.18588932,0.14086945,0.09052084,0.04818505,0.021279117,0.0088297585,0.005122376,0.0045364858,0.004305272,0.0037974098,0.003249988,0.002885617,0.0029084363,0.004985629,0.01451645,0.04077257,0.08961601,0.15262735,0.2046655,0.21841548,0.18609019,0.12570609,0.06712236,0.03191287,0.028199816,0.055849593,0.109981306,0.17691845,0.23458886,0.2634319,0.25699988,0.22328568,0.17550178,0.12835927,0.096646786,0.09228825,0.11688057,0.1556793,0.1887862,0.19937734,0.18761039,0.16043492,0.13030387,0.10168693,0.07693797,0.055810776,0.044709105,0.05417019,0.09218427,0.15268786,0.21381067,0.25075638,0.2525002,0.22733893,0.19295724,0.1616474,0.13522074,0.10889722,0.08012125,0.05129358,0.027936421,0.013322151,0.0066954507,0.004710009,0.0053608734,0.010268282,0.025333747,0.05673592,0.10623727,0.16658759,0.22379406,0.2629435,0.27475804,0.2594024,0.22392209,0.17906934,0.13280307,0.09132266,0.05920729,0.042322185,0.042979673,0.05791763,0.07726681,0.091600716,0.09512646,0.089142226,0.07892287,0.07306784,0.076969385,0.0897715,0.1039365,0.11286068,0.11619174,0.11776958,0.12010326,0.12187279,0.12144726,0.118973196,0.11520479,0.10942712,0.09922934,0.08325522,0.063523136,0.046201516,0.039144527,0.045230303,0.05943325,0.06967791,0.06745368,0.052344773,0.032797053,0.0174427,0.0120877,0.020082772,0.04422939,0.08443642,0.13076788,0.16642992,0.17845494,0.17304921,0.17403148,0.20194454,0.25887462,0.32180545,0.36734214,0.375245,0.34423068,0.2787331,0.19773842,0.12007835,0.062462986,0.028260054,0.012414758,0.0065582003,0.004730603,0.004200034,0.0065468214,0.018019725,0.04968052,0.104865946,0.17379194,0.23208947,0.2667662,0.28302753,0.3003178,0.32307163,0.33727685,0.32574388,0.28658628,0.23528479,0.18475074,0.14121221,0.10126814,0.06792282,0.04946037,0.06056832,0.10565364,0.17168836,0.2300454,0.25977448,0.26473418,0.26785913,0.2863197,0.3138465,0.3305019,0.32281253,0.29900277,0.27752888,0.26983824,0.26577786,0.2479492,0.20965993,0.16586773,0.13559431,0.12547238,0.12511022,0.12230452,0.11252972,0.0987672,0.08278692,0.06442896,0.044028595,0.025540626,0.012760367,0.0073020216,0.008888413,0.020014705,0.046792626,0.09574642,0.16528285,0.23988229,0.29491612,0.3092598,0.2812294,0.22632302,0.16774768,0.11910985,0.082918756,0.056978066,0.043792427,0.054812264,0.0980921,0.17019407,0.24391611,0.28759694,0.2803441,0.23727803,0.19189249,0.17687212,0.19163968,0.21219452,0.20769377,0.1704194,0.11427295,0.06537109,0.04254579,0.05408758,0.09609517,0.15506029,0.20981185,0.24197404,0.24749337,0.23786092,0.2289316,0.22773343,0.23106278,0.23299831,0.23064493,0.22352569,0.2095743,0.18661505,0.15648624,0.1262516,0.10411876,0.091955565,0.0851019,0.07590207,0.061058372,0.043569792,0.030744428,0.03076574,0.04756725,0.08023217,0.120571755,0.1585964,0.18506284,0.19652458,0.19347353,0.17815606,0.15403892,0.12655593,0.10511031,0.097300984,0.10399095,0.11650217,0.12455118,0.12385836,0.11776676,0.110815026,0.10454887,0.09936565,0.097795285,0.102176934,0.10960116,0.111142196,0.099418335,0.075127825,0.047365606,0.025333844,0.012858349,0.00770941,0.0062138154,0.005843433,0.0057283994,0.0055995877,0.0058301208,0.009178215,0.022133673,0.052979384,0.10321269,0.16160762,0.20767675,0.22745858,0.22366327,0.2099315,0.1953379,0.17703523,0.14975177,0.116382696,0.0878754,0.072838016,0.0712927,0.07990815,0.097174846,0.12171394,0.14475115,0.15159307,0.13457797,0.10277539,0.07899249,0.08204492,0.11662511,0.17048447,0.22532733,0.26080385,0.26647678,0.24505067,0.21878327,0.2105983,0.22653091,0.2444983,0.23568042,0.19018675,0.12704897,0.07802675,0.06424531,0.08560243,0.1232698,0.15356678,0.16092134,0.14901374,0.13514133,0.13633393,0.15182264,0.16470177,0.15612994,0.12299496,0.078529984,0.04033217,0.017250927,0.0075356592,0.004928636,0.005066067,0.007125301,0.012607475,0.024468407,0.046622615,0.084162414,0.13611095,0.19163072,0.22719987,0.22484249,0.18399857,0.12961036,0.091678806,0.08762216,0.11000853,0.13890623,0.15787816,0.16484793,0.16431211,0.15788656,0.140323,0.10991495,0.07494184,0.053128153,0.06148109,0.10405874,0.16799654,0.22735208,0.26135865,0.26430637,0.24589886,0.21681601,0.18238197,0.14481947,0.11080482,0.0899367,0.089449316,0.10802332,0.13767608,0.16569303,0.17973702,0.17177904,0.14267766,0.10200548,0.062406164,0.032951422,0.016007984,0.009443554,0.010309297,0.016252294,0.024572706,0.031300683,0.03277215,0.028327838,0.02103153,0.016105704,0.01848954,0.031544507,0.055918094,0.08877677,0.123336636,0.15052803,0.16127312,0.15130895,0.12433798,0.09282053,0.071170025,0.06692434,0.07728422,0.09265637,0.105718255,0.11149663,0.10836518,0.09397241,0.07113053,0.047046944,0.033584803,0.0411552,0.07198229,0.11733309,0.1567437,0.17462184,0.16966577,0.16050698,0.1643158,0.18100967,0.19150746,0.1783033,0.14514092,0.112323724,0.09901321,0.104593374,0.11418981,0.1119656,0.094219334,0.06746218,0.042394206,0.027251268,0.027322227,0.04271389,0.069396295,0.098213844,0.12010294,0.1288351,0.12476635,0.11358517,0.101739526,0.0919422,0.082502015,0.07476616,0.07764756,0.10169405,0.14517072,0.18794696,0.20554723,0.1895142,0.15571909,0.12905513,0.1237577,0.13402475,0.14517601,0.14676954,0.14158086,0.13911177,0.14666815,0.16118847,0.17169271,0.1668765,0.1430058,0.105970144,0.06773416,0.039731313,0.027403263,0.02830509,0.036265094,0.047597643,0.06478394,0.092545785,0.13061768,0.16997957,0.19803923,0.2061243,0.195904,0.17530406,0.15638568,0.14677073,0.15085147,0.16560644,0.18493058,0.20047277,0.20426549,0.19320004,0.16879451,0.14223072,0.12572525,0.12973867,0.15281284,0.18519674,0.21239442,0.22277683,0.21139501,0.17987394,0.1364914,0.09134689,0.05618162,0.040305678,0.05069685,0.08343208,0.12293766,0.14522654,0.1365046,0.10112617,0.058848854,0.026742512,0.010341719,0.004745641,0.0035649112,0.0046346583,0.010340893,0.027443176,0.06061141,0.110916555,0.16691859,0.2131692,0.2301265,0.21243455,0.16522853,0.110021144,0.06670623,0.05023555,0.05988701,0.08701687,0.11778041,0.14249942,0.15446563,0.15207796,0.13599263,0.113029175,0.09322827,0.08508567,0.086995356,0.0883984,0.07911271,0.05862641,0.035439648,0.019027153,0.013506738,0.017505413,0.026900118,0.037353177,0.046910953,0.05740887,0.0730232,0.094252236,0.115409255,0.12814914,0.1304046,0.12851395,0.13090384,0.13980238,0.14990383,0.15554841,0.153494,0.14367567,0.12492284,0.098690756,0.06895864,0.043253023,0.027575826,0.02620936,0.04100765,0.072279,0.11597496,0.1610377,0.19099617,0.19202994,0.16432746,0.12367636,0.09123979,0.077685915,0.077343374,0.076595746,0.0660908,0.048245057,0.032190755,0.02822348,0.03967722,0.0644378,0.09383605,0.119944595,0.1358266,0.13911279,0.1289241,0.106518574,0.076667584,0.04649043,0.024748141,0.01720769,0.028404167,0.058003504,0.0973532,0.12855603,0.13374981,0.11012331,0.07087951,0.03579707,0.015493595,0.010628005,0.016336424,0.028591225,0.04428926,0.060426995,0.07486841,0.08590283,0.092497565,0.093646355,0.08960327,0.08186489,0.07153195,0.060681194,0.053879816,0.0601681,0.08455312,0.11995554,0.14622253,0.14483203,0.1153722,0.076846845,0.05516031,0.063724466,0.09887221,0.14218827,0.17544039,0.18782412,0.18202709,0.16570492,0.14654124,0.1258877,0.10447062,0.083779104,0.06893263,0.06295163,0.0649248,0.06914499,0.06952862,0.06382877,0.054493856,0.04729643,0.046765253,0.052843135,0.06308889,0.077236384,0.10495428,0.1523491,0.21261285,0.25524327,0.25413725,0.20407383,0.13151975,0.067186005,0.03084334,0.023964068,0.040753413,0.07176504,0.10411129,0.12387518,0.122700065,0.10416764,0.078766234,0.05657974,0.04013166,0.028087988,0.01818717,0.010803693,0.006196538,0.0041976958,0.0035427662,0.0041852104,0.007903913,0.018632824,0.038498685,0.06478394,0.08793479,0.09778295,0.09126559,0.080117606,0.08750395,0.13408995,0.21690977,0.3049575,0.3576604,0.3593636,0.32739946,0.29378408,0.2723342,0.25478464,0.2249362,0.1787967,0.12468273,0.07572379,0.039829623,0.018693127,0.0087324185,0.005349789,0.0045622457,0.004765099,0.00737501,0.017726066,0.044103503,0.09141344,0.15408494,0.2143292,0.2514187,0.2549702,0.2285301,0.18530677,0.13661148,0.09137469,0.053907245,0.02798227,0.013427667,0.008628015,0.010629672,0.016630411,0.023356264,0.026813954,0.025126612,0.019148033,0.012437419,0.0075627617,0.0057189935,0.007694272,0.01621184,0.035065096,0.06558358,0.1036041,0.1393659,0.16098146,0.15989347,0.13522361,0.096175134,0.056441966,0.02763082,0.013136012,0.011938266,0.022978941,0.046398122,0.07907013,0.11205124,0.1340789,0.13769554,0.12232811,0.094023466,0.061708596,0.034563992,0.01812121,0.013831886,0.018862808,0.02790314,0.03463297,0.03466431,0.027922785,0.018169587,0.00987213,0.0050189933,0.0031141855,0.0026722446,0.0027412877,0.0029289566,0.0031206242,0.003711991,0.0062741563,0.015298664,0.03706867,0.0765731,0.12940146,0.18008555,0.2075486,0.20022799,0.16509761,0.12404483,0.09965214,0.1019153,0.12572917,0.15752833,0.18205118,0.19038069,0.17942615,0.15604599,0.12798473,0.10332954,0.08506286,0.07904976,0.09136961,0.12581687,0.1719781,0.21091992,0.22111547,0.19970138,0.1593959,0.12866308,0.12660421,0.15885049,0.2098494,0.25775567,0.2828599,0.27695456,0.24644609,0.20621826,0.17395592,0.15558507,0.14680217,0.13487206,0.11365036,0.085287414,0.059488457,0.042986225,0.03700238,0.03954683,0.052365053,0.08031743,0.12496767,0.17685823,0.22009318,0.24323402,0.24763006,0.2424305,0.23351699,0.22015204,0.19840337,0.16763616,0.13040556,0.09208981,0.060369413,0.04352905,0.046205163,0.06534367,0.092501886,0.118988894,0.13912441,0.14822848,0.1417063,0.11826706,0.08394497,0.05039307,0.027508223,0.018596902,0.019609137,0.024509987,0.028638758,0.033196922,0.042534668,0.06075746,0.08565117,0.109241284,0.121599436,0.11655169,0.09528313,0.0655256,0.03757701,0.01844232,0.0099560255,0.010994264,0.02126122,0.04077364,0.067311116,0.09426924,0.11382418,0.120552324,0.11391344,0.097564854,0.0769626,0.057848066,0.043760408,0.036413144,0.034853697,0.03657675,0.037510548,0.034316704,0.026547609,0.016937425,0.009182257,0.0049508805,0.003695153,0.004436082,0.008353629,0.0189248,0.038709283,0.064863436,0.08977565,0.107565515,0.12019869,0.1334184,0.14823532,0.15807313,0.15749437,0.14870526,0.13943864,0.13335519,0.1287816,0.12233222,0.11471536,0.10909197,0.11015338,0.12167906,0.14471258,0.17285751,0.19427913,0.19803523,0.18353908,0.15937097,0.13863324,0.12849414,0.12847547,0.12931406,0.12196395,0.1020098,0.07415377,0.046444815,0.025599798,0.013176873,0.007320083,0.0059067025,0.008664279,0.017063903,0.030903565,0.04598406,0.054812994,0.052386228,0.040423602,0.02667202,0.01915981,0.020727003,0.0286906,0.037274417,0.04262956,0.043298613,0.040485382,0.034750264,0.027092196,0.01847515,0.011096407,0.0062493794,0.0040927962,0.003526166,0.0037177235,0.0051396587,0.0104702115,0.023701387,0.046764653,0.07480194,0.096442156,0.10084197,0.08959358,0.079325415,0.09315147,0.13975543,0.20531876,0.25867847,0.27742496,0.26037034,0.22934036,0.20758836,0.2070086,0.21927625,0.22755237,0.21710408,0.18905355,0.15625106,0.1348206,0.1300305,0.13562937,0.1407819,0.13804227,0.12633878,0.105999075,0.080024384,0.052197367,0.029049112,0.015231923,0.015032191,0.03354115,0.07510037,0.1360519,0.19957669,0.24397397,0.25661528,0.24236916,0.21641399,0.1917594,0.17180623,0.15229367,0.12784804,0.09698192,0.06405785,0.0362495,0.020710666,0.022485584,0.046446297,0.095136024,0.16565691,0.24296992,0.3051219,0.32980552,0.3100134,0.25324494,0.1807013,0.11171306,0.060045306,0.027931921,0.012066866,0.0069480482,0.013944953,0.041694403,0.10069698,0.18438406,0.2688289,0.32428873,0.34493172,0.3473488,0.3561032,0.3784277,0.40240613,0.40748262,0.3783295,0.3155319,0.23319936,0.1554969,0.10581385,0.105193935,0.15778878,0.24770312,0.33233014,0.37488016,0.35857344,0.3077391,0.25578326,0.23177518,0.23257656,0.2384938,0.2240241,0.18314351,0.13018228,0.09167496,0.08694898,0.118489526,0.17105107,0.22071116,0.24627773,0.24015212,0.21375948,0.18636183,0.1723013,0.16755056,0.16056134,0.1417896,0.11457648,0.08942449,0.07602351,0.07651686,0.08271096,0.08401994,0.073341705,0.053687856,0.03304049,0.020540496,0.022004073,0.038996615,0.0679597,0.10053005,0.12884474,0.14603926,0.14893304,0.13357152,0.10313788,0.06523996,0.033161078,0.01428678,0.01212657,0.027815139,0.06312538,0.11618879,0.17556272,0.22511546,0.25013927,0.2473436,0.22104208,0.18076362,0.13394187,0.08841347,0.05089492,0.028540896,0.025585203,0.042623788,0.0754382,0.11442121,0.14815123,0.16728115,0.17030393,0.16131096,0.14610137,0.12773862,0.10757815,0.08719494,0.06838797,0.052899066,0.043695092,0.04750259,0.070155606,0.10881124,0.14628376,0.16156155,0.14405495,0.10347175,0.0609396,0.037009124,0.04170678,0.07451425,0.12389579,0.1716497,0.19851035,0.19626813,0.1693335,0.13252878,0.09815103,0.07358283,0.059357196,0.055993035,0.06266969,0.077021256,0.09231735,0.10224342,0.1041615,0.100999326,0.095130116,0.08656765,0.07224329,0.053275567,0.03439797,0.023681918,0.02484558,0.036928948,0.05336407,0.067071915,0.07261914,0.06888079,0.05809362,0.044200715,0.030786516,0.019851593,0.012130611,0.007405294,0.0055728587,0.006750995,0.011676557,0.021272594,0.036154848,0.05571133,0.07671545,0.09342718,0.09901854,0.0902966,0.069798715,0.045499116,0.02524148,0.013728373,0.011571206,0.017701942,0.02954171,0.042513132,0.050518434,0.04935664,0.03970642,0.026556829,0.015255246,0.008288993,0.0050476077,0.0038630676,0.0035044074,0.0034514933,0.003455972,0.0033661444,0.0031566096,0.0029192467,0.00277288,0.0027885425,0.0029974065,0.003554821,0.0047861473,0.007214047,0.010950112,0.015461649,0.019584589,0.022519514,0.024228746,0.025738837,0.029268404,0.03904767,0.059697825,0.092003874,0.12944166,0.16140439,0.18289602,0.19685353,0.20890398,0.21560548,0.20876348,0.18352044,0.14729889,0.11352191,0.09365984,0.0911312,0.09958565,0.107530825,0.10667851,0.101803005,0.10522165,0.121712945,0.13871734,0.13892125,0.121102035,0.104830235,0.11079494,0.1407227,0.17641759,0.1987387,0.19898672,0.17894341,0.14316721,0.09912163,0.057124685,0.02673012,0.010735337,0.0051744194,0.004183026,0.0042634048,0.0043434408,0.004422285,0.0045062113,0.004584598,0.005358292,0.009209704,0.020722216,0.044262525,0.07991794,0.1211328,0.15562613,0.1722083,0.16459727,0.1367534,0.09806173,0.061076257,0.033102952,0.016617887,0.0088041155,0.006122922,0.005472571,0.005297897,0.0050924174,0.0048695602,0.0050967145,0.008233673,0.020180812,0.05070622,0.10544908,0.18071778,0.25783134,0.31741846,0.34593248,0.3480376,0.33309862,0.31529197,0.3004268,0.29413083,0.2936019,0.29649413,0.2973276,0.29659238,0.29715273,0.30292973,0.31341514,0.3224015,0.32431617,0.31572732,0.298327,0.27289698,0.24465136,0.2231381,0.22064914,0.23863165,0.2631444,0.2749283,0.266367,0.24808337,0.23595537,0.23564951,0.2368236,0.22379027,0.18899183,0.13846038,0.087677054,0.05232553,0.04422332,0.066945784,0.11491066,0.17094128,0.21334122,0.22692384,0.21290125,0.18564068,0.16031687,0.14282943,0.13200068,0.12588654,0.12506784,0.12732154,0.12690367,0.11714836,0.09687067,0.07223546,0.05456373,0.05574456,0.07715654,0.107159354,0.12356189,0.11406558,0.0822578,0.047346074,0.026087536,0.028413922,0.054838926,0.10035095,0.15170197,0.19054413,0.20163028,0.18192977,0.14187182,0.097735584,0.064711966,0.05144824,0.057892222,0.074018866,0.08454778,0.079234846,0.05926609,0.036589637,0.024862295,0.03380849,0.06308121,0.10174054,0.13203155,0.14365102,0.14237297,0.14331196,0.15256788,0.159777,0.15149644,0.12843756,0.10678805,0.10174028,0.113366075,0.12793042,0.1325473,0.12644738,0.12120844,0.12822421,0.14967541,0.17586537,0.19450425,0.19561583,0.17645085,0.13960743,0.09485865,0.053832993,0.025650134,0.011263204,0.0063553546,0.0053713894,0.005337423,0.005357878,0.0054512075,0.006146072,0.0092378035,0.018598408,0.037969682,0.06679302,0.09754607,0.119514905,0.12717396,0.123713344,0.118047476,0.11730961,0.12498895,0.14137489,0.16373856,0.18536735,0.19736259,0.19442116,0.17780288,0.15237957,0.12240531,0.09005889,0.058837105,0.033290543,0.016888408,0.008976298,0.006253481,0.0060589015,0.0084403185,0.016259903,0.031481203,0.052778643,0.07261623,0.082520545,0.077078655,0.05984868,0.040128056,0.030320803,0.041112203,0.07822718,0.140004,0.21541762,0.28874004,0.34119532,0.3569304,0.32666942,0.2567753,0.16913557,0.09098625,0.03936484,0.0143840695,0.006165588,0.0045120493,0.0044322615,0.006358324,0.014121962,0.03478994,0.07006729,0.116824426,0.1607987,0.19242857,0.20194198,0.19166237,0.16369171,0.13124412,0.106153525,0.097071745,0.0973869,0.09314527,0.07607988,0.049885143,0.02609708,0.011192233,0.0052906903,0.0039199498,0.004123567,0.004422502,0.0046009272,0.004529267,0.004275462,0.0039330544,0.003721861,0.0049375165,0.010261021,0.024050372,0.04799502,0.080710046,0.115980595,0.14869024,0.17250879,0.18155913,0.17210758,0.1508076,0.13674672,0.14314981,0.16548865,0.17656922,0.1597511,0.12014782,0.08826831,0.08393094,0.10529647,0.12679827,0.12723419,0.10188996,0.06496119,0.032788984,0.013781321,0.00602313,0.004156248,0.00413066,0.0044195135,0.0046740826,0.0048256204,0.004814373,0.0046522436,0.0043554306,0.004002977,0.0036482122,0.0034114418,0.0033534074,0.0035210012,0.0038094344,0.004117115,0.0043075164,0.0043634796,0.0052202325,0.009730627,0.023383303,0.050160542,0.088596515,0.12776129,0.15412784,0.15751404,0.1388696,0.10588354,0.07014958,0.039944176,0.019937797,0.009487257,0.005741829,0.006645857,0.0144836,0.0367678,0.07927236,0.14021443,0.2035565,0.25010407,0.26439425,0.24853928,0.21285121,0.17411627,0.14031854,0.115645595,0.09645022,0.08135287,0.06763872,0.055369645,0.043063328,0.031155348,0.020250948,0.013290123,0.014087004,0.028664082,0.059967,0.10447931,0.14801754,0.17549805,0.1787308,0.16383928,0.14237195,0.124325186,0.1114069,0.100605786,0.087430544,0.07139815,0.05831403,0.05973372,0.08466097,0.13096048,0.18434568,0.229858,0.26335457,0.28847012,0.30464944,0.30099395,0.2698229,0.21683581,0.15988947,0.11132502,0.074293576,0.04798561,0.037911918,0.051967055,0.08700681,0.12589957,0.14254962,0.12706967,0.087247066,0.047668573,0.025172122,0.02816756,0.052758064,0.0931252,0.13941045,0.18246903,0.21312623,0.22442274,0.2119957,0.17667347,0.12761427,0.07829747,0.04136349,0.02163302,0.018288145,0.027341744,0.045916926,0.07066752,0.097043075,0.11985501,0.13733059,0.15301134,0.17114533,0.19111913,0.20789249,0.21851595,0.22616623,0.23097463,0.22639836,0.20013909,0.15335135,0.10110223,0.067323655,0.064048104,0.08793106,0.12295985,0.15316622,0.1706276,0.17817448,0.18314387,0.18915363,0.19199978,0.18463963,0.16490705,0.13791354,0.11292905,0.09524644,0.08404952,0.07412483,0.06386637,0.06078584,0.07804037,0.12486789,0.19275475,0.25887087,0.2959961,0.29380882,0.25913456,0.2114858,0.16494732,0.12814178,0.105930656,0.10775379,0.1403801,0.19745027,0.25559282,0.28600404,0.27507108,0.22886376,0.1678884,0.1091853,0.06356962,0.033426136,0.019521004,0.020710813,0.035226196,0.06113218,0.09586843,0.13525714,0.16925043,0.18401785,0.17034686,0.13164517,0.08408696,0.043943867,0.020204995,0.012739432,0.019906612,0.03928314,0.06549903,0.08851049,0.100791715,0.104640774,0.113634445,0.13948818,0.1835259,0.22979559,0.25798494,0.25155157,0.21101443,0.15057757,0.091057904,0.047280166,0.022323506,0.0128110545,0.015500455,0.032449823,0.06300111,0.09832563,0.120489836,0.11681559,0.08915862,0.053469386,0.025403442,0.0114535615,0.009223146,0.014541716,0.023422426,0.031960953,0.035097882,0.031260323,0.022342473,0.0135236615,0.0076246024,0.005181618,0.0044716964,0.004360687,0.0042259265,0.0040606824,0.0038947528,0.0038371363,0.0039105113,0.0040646163,0.004457511,0.006155543,0.01157223,0.023068333,0.040279847,0.057787348,0.067674845,0.06482703,0.0518927,0.03721517,0.028676718,0.027786495,0.03006579,0.02989613,0.025194393,0.017958513,0.011414153,0.007280149,0.005779432,0.007922083,0.017655985,0.04093242,0.08051986,0.13155164,0.18128002,0.21708606,0.23306145,0.23261327,0.22360863,0.21244688,0.20129621,0.18664737,0.16571885,0.13960585,0.117199294,0.106464386,0.107844986,0.112065054,0.10845282,0.09387974,0.073270805,0.05472048,0.04325804,0.041068453,0.048626322,0.06432653,0.08169701,0.090702035,0.084123634,0.06386533,0.03926565,0.019876933,0.009129041,0.005091444,0.0041940487,0.004279723,0.0045147655,0.0046612904,0.0045952257,0.004346118,0.0040594414,0.0038605577,0.003776261,0.00445082,0.007952196,0.018345213,0.03870815,0.067713745,0.09731689,0.117148094,0.12064454,0.108489156,0.086808324,0.063619174,0.049930025,0.059226498,0.101976,0.17277044,0.24652244,0.29108799,0.2882313,0.24414192,0.1796682,0.11644999,0.06639046,0.033706114,0.016433703,0.0119147515,0.0183093,0.035116766,0.05922487,0.082943834,0.0968495,0.09557567,0.08060745,0.058666985,0.036946326,0.02041673,0.010389703,0.0057668504,0.0042505446,0.0039510513,0.0038471979,0.0036664344,0.0034535879,0.0032879803,0.0031983864,0.0031473103,0.0030698415,0.0029260237,0.0027335763,0.002571093,0.0025014544,0.0025342698,0.0026012298,0.0026811492,0.0028040688,0.003055385,0.0034029826,0.0037200358,0.0038333808,0.004828434,0.010182467,0.025685666,0.054454956,0.09126399,0.12327442,0.13841705,0.13678782,0.12717071,0.11914134,0.11109653,0.0972876,0.07413823,0.04828767,0.03129642,0.035810824,0.07053429,0.13650636,0.2228977,0.30705437,0.36316454,0.37299755,0.33453605,0.26101163,0.17570353,0.10123303,0.05319342,0.03707059,0.051250473,0.08879089,0.13874058,0.18891634,0.22880737,0.25390753,0.26349768,0.26144803,0.24866794,0.22484289,0.18672006,0.13974883,0.09575231,0.06780247,0.05784966,0.05802293,0.06028852,0.060724217,0.05935957,0.05347516,0.042443532,0.027815787,0.015043939,0.006951021,0.003644482,0.0027947344,0.0028763125,0.0040537743,0.009014274,0.022384815,0.046190232,0.07507601,0.09599354,0.09737756,0.07853968,0.051032722,0.030407278,0.02780505,0.04613343,0.07971174,0.114432134,0.13348144,0.12650494,0.09750823,0.06082126,0.031340312,0.01669981,0.019025484,0.038917903,0.07576699,0.123334296,0.1684122,0.19641934,0.20039064,0.18492013,0.16171485,0.14039391,0.12383995,0.110092014,0.099003516,0.09344445]