[0.021119311,0.031319726,0.052943755,0.07751336,0.09722755,0.107653715,0.10998213,0.10749576,0.10363564,0.09993923,0.09713256,0.09528757,0.09432585,0.09394285,0.09417951,0.095349945,0.097736835,0.10075927,0.103191815,0.10372748,0.10197244,0.09838804,0.09389838,0.08921462,0.084685035,0.08040441,0.07637459,0.072565116,0.06880824,0.06488061,0.06067565,0.056433827,0.05263059,0.049638283,0.047448028,0.04575257,0.04426991,0.04301156,0.042772535,0.04547816,0.054146796,0.070811965,0.09450146,0.12041543,0.14297937,0.15894413,0.16879068,0.17466529,0.17818399,0.17971142,0.1792114,0.17702849,0.17389834,0.17047155,0.16723202,0.16422224,0.16111255,0.15690625,0.15095979,0.14341386,0.13566965,0.12880255,0.1230415,0.11746732,0.11139356,0.1046787,0.09768445,0.090726316,0.08395804,0.07757002,0.07168769,0.06636675,0.061481904,0.056988332,0.05292945,0.0493599,0.046138305,0.04296768,0.03963152,0.03616857,0.032889787,0.030122979,0.028056547,0.026640167,0.02573943,0.025187248,0.024830049,0.024434065,0.023798615,0.022832116,0.021668447,0.020479696,0.019373573,0.018333897,0.017378533,0.016598156,0.016576605,0.01873558,0.025727967,0.039440088,0.059316326,0.08101859,0.09990597,0.113310345,0.12196678,0.1269234,0.12850465,0.12604637,0.11953459,0.10944467,0.0966697,0.08236092,0.06843961,0.05714779,0.050256327,0.048954543,0.054831628,0.07080306,0.098611884,0.135469,0.17173524,0.19590355,0.20071708,0.1880217,0.1654038,0.14124219,0.12016981,0.10338769,0.090242565,0.079897515,0.07179761,0.06566586,0.061379034,0.058655486,0.05685391,0.055170268,0.05312026,0.050813872,0.048647,0.04683022,0.045212355,0.043494344,0.041517954,0.039404552,0.037863936,0.038483534,0.04370341,0.055064667,0.071315445,0.08742484,0.09736734,0.097456835,0.08869957,0.07514609,0.06136131,0.050684854,0.045601144,0.04844408,0.06033655,0.07957131,0.10119154,0.119523786,0.13113098,0.13536744,0.1332361,0.12589543,0.115242034,0.10375329,0.09386147,0.086422406,0.080607004,0.07495601,0.06869375,0.062621765,0.058794554,0.05987222,0.06687471,0.07840097,0.09023055,0.09866914,0.10185639,0.101006605,0.097853094,0.09398653,0.08999299,0.08639582,0.08359078,0.08183574,0.080964416,0.08046407,0.07972018,0.07839521,0.07658745,0.07481142,0.07349511,0.07269841,0.07194575,0.07069236,0.06861612,0.065879226,0.06288385,0.06009743,0.0577856,0.056008786,0.054620665,0.05339886,0.05213425,0.0507182,0.049186144,0.047661234,0.046297908,0.045175567,0.04432519,0.04368347,0.0431212,0.042377982,0.04121844,0.039521813,0.037426453,0.035174605,0.033008527,0.031023167,0.029255284,0.028400332,0.031248674,0.044068832,0.07451949,0.12662144,0.1955807,0.27020833,0.33958688,0.39937267,0.44898474,0.4874557,0.51064706,0.5162401,0.5062895,0.4891241,0.47414446,0.4685327,0.47185656,0.47721758,0.47443542,0.4581515,0.43251845,0.4092284,0.39826038,0.3984889,0.39817837,0.38511887,0.3576336,0.326388,0.30493844,0.30011603,0.3076774,0.31810942,0.32268476,0.31764448,0.30263126,0.27872393,0.24763854,0.21238302,0.17772396,0.14855255,0.12784475,0.11529144,0.10825177,0.10375137,0.09994065,0.0962855,0.092837,0.08975658,0.08709604,0.084867395,0.08297908,0.081262894,0.07948858,0.077423245,0.07489122,0.07185618,0.06856781,0.06542745,0.06282409,0.06087558,0.059621353,0.059497643,0.062015433,0.06982387,0.08511879,0.10858134,0.13939923,0.17885478,0.22838724,0.2858355,0.33811513,0.3678604,0.36408234,0.3337473,0.29677585,0.27177402,0.2640062,0.26372537,0.25837585,0.24211866,0.22052228,0.20426543,0.20130044,0.21319704,0.23396043,0.25585058,0.2719973,0.28118667,0.28482354,0.28476664,0.28018272,0.2689779,0.24937463,0.22156864,0.18751548,0.15068763,0.114980064,0.08399919,0.060190976,0.044254083,0.035227012,0.030815758,0.028722951,0.027237965,0.02569034,0.023945712,0.022152282,0.020453367,0.019040426,0.01813001,0.01805161,0.018920628,0.020537091,0.02216015,0.023143364,0.023162909,0.022567658,0.021851493,0.021434093,0.02163141,0.023389645,0.029253801,0.04332782,0.0711912,0.118539155,0.19001496,0.28279865,0.38250244,0.46315572,0.5014244,0.48918596,0.44006965,0.3791977,0.33112776,0.30676523,0.30046734,0.29360238,0.27008286,0.22858234,0.18560857,0.16042365,0.16010277,0.17290944,0.18019241,0.17003834,0.1453631,0.11739793,0.09653964,0.08699059,0.08949026,0.10480072,0.13234676,0.16612397,0.19436628,0.20578367,0.19659491,0.17090406,0.13675992,0.1010816,0.06944883,0.04514128,0.029572226,0.021202454,0.017372284,0.015455945,0.014094364,0.013055075,0.013025942,0.015403216,0.021064438,0.029455325,0.037830207,0.04323132,0.04407217,0.041785583,0.039570745,0.041290507,0.048988696,0.06257167,0.08002421,0.10056194,0.12619303,0.16193384,0.21204443,0.2735329,0.33290842,0.36934265,0.36980343,0.33878127,0.29874164,0.27419385,0.27811337,0.30656645,0.3444194,0.376314,0.393227,0.39486945,0.3842045,0.36453426,0.33820334,0.309208,0.2839792,0.2692487,0.26893255,0.28109026,0.3000099,0.31902888,0.3334061,0.33938977,0.33329788,0.31339836,0.2811467,0.24209945,0.20203508,0.1661774,0.13722426,0.11674798,0.10401529,0.09712986,0.09328809,0.09054635,0.08788263,0.08517692,0.08245346,0.07984254,0.07754966,0.07597536,0.07541235,0.07561174,0.07565183,0.07435676,0.07122588,0.06673181,0.06208385,0.058257986,0.05597338,0.056231458,0.061531764,0.07512874,0.100316204,0.13899471,0.19320674,0.26191005,0.33902302,0.41018304,0.46191964,0.48858628,0.49693525,0.49662665,0.49430606,0.4909034,0.48680174,0.48198116,0.47520676,0.461689,0.43643793,0.39814758,0.35238048,0.30941406,0.27956572,0.26747206,0.2710316,0.2828968,0.2966516,0.3084329,0.31790975,0.3237202,0.3239621,0.31666282,0.30241987,0.2826676,0.2582989,0.22973226,0.19905771,0.17042895,0.14793743,0.1330008,0.12409016,0.11835586,0.11361274,0.10896347,0.10449032,0.100495584,0.09703478,0.09376805,0.09022709,0.086220466,0.08203923,0.078176804,0.07492057,0.07206917,0.06908072,0.065231316,0.060014367,0.054046366,0.049549595,0.050285045,0.059871312,0.082068264,0.12088118,0.17812216,0.24765413,0.3116218,0.35025546,0.35372832,0.33172774,0.3029785,0.28526264,0.28412226,0.29615852,0.31138945,0.32170892,0.32314584,0.31794965,0.30969155,0.3008418,0.29120684,0.28049722,0.26948884,0.26062882,0.25681087,0.26075864,0.2727259,0.28973782,0.3052802,0.31319323,0.30972624,0.29410395,0.26632032,0.22748955,0.18170555,0.13632165,0.09866977,0.071981944,0.054944452,0.04421242,0.037270114,0.03282079,0.030247025,0.028882265,0.028156335,0.02769737,0.027514182,0.027980657,0.029313454,0.03197811,0.037211563,0.04877314,0.0708498,0.1069437,0.15680568,0.21778356,0.28153813,0.3341101,0.35908043,0.34888396,0.3143513,0.2814298,0.27787665,0.31208637,0.3667452,0.40685746,0.4070833,0.36824515,0.3151146,0.27282792,0.24976629,0.23714107,0.22413075,0.20907499,0.19843085,0.1963978,0.19966011,0.20118864,0.19843788,0.1939547,0.19142286,0.19044356,0.18853055,0.18416087,0.1799245,0.18045427,0.18838613,0.20108366,0.21066098,0.20876485,0.19130842,0.16218609,0.13031362,0.10374788,0.08414641,0.06804594,0.0523324,0.037598584,0.026793612,0.021341996,0.020170914,0.020710083,0.020905301,0.020109205,0.019239232,0.020253533,0.024221338,0.030399993,0.03589664,0.038453415,0.038674053,0.042155076,0.058008242,0.093443155,0.14744781,0.20813902,0.2610884,0.2983874,0.32412252,0.34632754,0.36964622,0.39002195,0.39931968,0.39015484,0.3615761,0.3196638,0.2750393,0.23743998,0.21177982,0.19760315,0.19141597,0.18967842,0.19110747,0.19722001,0.21105552,0.23242371,0.2560124,0.27356142,0.28339502,0.2924517,0.31144482,0.34255704,0.37864003,0.40882018,0.4281393,0.43653336,0.4356108,0.42437497,0.4016597,0.3672556,0.3235087,0.27422243,0.22499603,0.1818726,0.1494797,0.12880026,0.11744807,0.111642696,0.10834072,0.10584026,0.10347583,0.10117632,0.09919667,0.09787437,0.0972333,0.09688118,0.09618259,0.094706535,0.092474096,0.08983913,0.08722779,0.084883906,0.08288911,0.08114617,0.0799638,0.08195009,0.09444162,0.12900299,0.19426209,0.2863474,0.38561893,0.46601215,0.50944346,0.5136571,0.48866084,0.44800532,0.40289664,0.36069384,0.32517686,0.29712483,0.27495146,0.25658557,0.24056472,0.22660716,0.21453917,0.20392941,0.19404142,0.18474458,0.17640252,0.1695677,0.16426574,0.16023625,0.15715729,0.15488656,0.15328218,0.151944,0.15021555,0.14733346,0.14307885,0.13818948,0.1346708,0.13545386,0.14395387,0.16333348,0.19554515,0.24000053,0.29205334,0.34357288,0.385393,0.41232488,0.42479005,0.42818144,0.42812,0.42798138,0.4275765,0.42419842,0.41401446,0.3941357,0.36611268,0.3379676,0.32192492,0.3268635,0.35106906,0.38185218,0.40362737,0.4069357,0.3950971,0.3785089,0.36845806,0.36516383,0.36244932,0.35155845,0.3328919,0.3115023,0.2937128,0.27989504,0.267338,0.25284776,0.23589502,0.2179224,0.20126104,0.18761522,0.17716241,0.16834368,0.15899332,0.14806463,0.136415,0.12589039,0.11773417,0.11188575,0.10771655,0.10491544,0.103636354,0.103529155,0.10335341,0.10164144,0.09833822,0.09505558,0.093777895,0.09488226,0.09688436,0.09772355,0.09631785,0.09296746,0.08875519,0.08484536,0.081918456,0.080144405,0.079682164,0.081550606,0.087793775,0.099401176,0.11439226,0.127289,0.13311297,0.13028072,0.12168965,0.111098416,0.10073212,0.090542704,0.080248214,0.07172141,0.07154441,0.09123381,0.14316677,0.22911096,0.33364037,0.4255328,0.47779834,0.48071828,0.44845453,0.40273714,0.36191642,0.33144036,0.3098928,0.292694,0.27696905,0.26106745,0.24520512,0.23087235,0.21972704,0.21173455,0.20451416,0.19526096,0.18273228,0.16804366,0.15293968,0.13835399,0.12399724,0.10967624,0.09687885,0.08978879,0.09476122,0.11713544,0.15731905,0.20884204,0.26268825,0.31301346,0.3595573,0.4029541,0.43941554,0.46053898,0.4580656,0.43153414,0.39204904,0.35992965,0.3533268,0.3753914,0.4116311,0.4387838,0.44123647,0.4188058,0.38605714,0.35973093,0.34839022,0.34744763,0.34648147,0.3378099,0.32248008,0.30764496,0.3016701,0.3079674,0.32349873,0.34060383,0.3520482,0.35376075,0.3457016,0.33016896,0.31085005,0.29074702,0.27152362,0.25300092,0.23450004,0.21579783,0.1976117,0.18113059,0.1671865,0.15605034,0.14754765,0.14153029,0.1375848,0.13487937,0.13217373,0.12869175,0.1246216,0.1209976,0.11880365,0.118244804,0.11869097,0.119035065,0.11824944,0.11564975,0.111294426,0.1059216,0.10064646,0.09617398,0.09252224,0.089220725,0.08591541,0.082627624,0.07970063,0.07750801,0.07625908,0.07586325,0.07671387,0.08005058,0.088358976,0.10199979,0.11823809,0.13028198,0.13376576,0.12827808,0.118851334,0.1098234,0.1036881,0.09989164,0.09758669,0.096049875,0.09645825,0.103554994,0.1261522,0.17197561,0.23898673,0.31245932,0.37156358,0.4033477,0.40709785,0.3923954,0.36895695,0.34481773,0.32358727,0.30666044,0.29221174,0.27815518,0.26333377,0.24858339,0.23455681,0.22105634,0.2066874,0.19115396,0.1749525,0.15941489,0.14489488,0.13171823,0.12125675,0.117073685,0.123336084,0.14152251,0.16925345,0.20326822,0.24209721,0.28437945,0.32235178,0.3431729,0.33744183,0.31043875,0.28104064,0.27005875,0.28649482,0.32271883,0.36054826,0.38324884,0.3837904,0.36787212,0.34776187,0.33577502,0.33594546,0.3428713,0.34487018,0.33159128,0.3014311,0.263625,0.23496155,0.22805084,0.24262993,0.26460168,0.2780483,0.27698854,0.26942012,0.26935494,0.28512427,0.3122733,0.33588842,0.3416742,0.324416,0.29072598,0.25176486,0.21768333,0.19270508,0.17654587,0.16560161,0.15654118,0.1477706,0.14003207,0.13452573,0.1312536,0.12869003,0.12516136,0.12031054,0.114967495,0.11018445,0.10628188,0.103231736,0.100864656,0.09903196,0.09714038,0.094538786,0.09093832,0.086925395,0.08344003,0.08118979,0.08008304,0.07956087,0.078993954,0.078130856,0.07695124,0.07558098,0.074118994,0.07271433,0.07144482,0.07074066,0.07163098,0.076040566,0.08461419,0.09552598,0.103868775,0.1060076,0.10159714,0.09424735,0.0871421,0.081253745,0.07524961,0.06805167,0.06085052,0.058069542,0.069099896,0.10560745,0.17644906,0.27530104,0.3789297,0.4541273,0.480141,0.4584575,0.41088414,0.36068377,0.32203758,0.29698935,0.28222418,0.2729771,0.26570216,0.2581504,0.24983191,0.24064834,0.22995065,0.2161632,0.19899124,0.18073219,0.16648336,0.16166775,0.16979308,0.18974091,0.21599483,0.24024153,0.2561842,0.2616852,0.26108515,0.26261732,0.27391705,0.29369226,0.31179872,0.31870404,0.31631735,0.3150716,0.32019973,0.3253447,0.3204986,0.30554545,0.29183564,0.29294047,0.31279758,0.34257507,0.3668332,0.37322593,0.35908154,0.33003995,0.29495046,0.26126686,0.23428069,0.21757579,0.21199973,0.21445902,0.2192654,0.22193295,0.22237141,0.2236585,0.2297858,0.24202819,0.2584964,0.27329347,0.28049862,0.27689037,0.2647079,0.2482091,0.23108786,0.21433483,0.19814472,0.1827503,0.16915463,0.15843107,0.15147132,0.14810383,0.14686196,0.14519969,0.14121003,0.13460706,0.12705849,0.12077395,0.117494315,0.11785784,0.12155343,0.12762313,0.13417844,0.1390246,0.1400323,0.13702877,0.13138033,0.12565024,0.1212886,0.118634604,0.11702016,0.11635072,0.11753556,0.12226876,0.13152163,0.14427616,0.15769167,0.16902153,0.17726393,0.1832726,0.18789959,0.1910963,0.19186874,0.19004501,0.18754156,0.18991739,0.20607425,0.24369228,0.3024199,0.36967313,0.42761183,0.46402752,0.48003092,0.48514044,0.48955235,0.49699894,0.50619584,0.51254374,0.5144221,0.51310015,0.5128808,0.5148327,0.5165511,0.5131442,0.502211,0.48566163,0.4685967,0.45626485,0.45040604,0.44935167,0.44932494,0.4473559,0.44241333,0.43538812,0.4292359,0.4270011,0.43140236,0.4414803,0.45316657,0.45903003,0.45252955,0.43016782,0.39329436,0.34664845,0.29663855,0.24959208,0.21062021,0.18252844,0.165861,0.15935278,0.16173016,0.17069311,0.18317614,0.19414772,0.20059727,0.20337705,0.20926486,0.22723699,0.26096192,0.30375051,0.3383172,0.35011038,0.33569196,0.30655718,0.27702203,0.25607237,0.24363361,0.23689449,0.23484029,0.23923571,0.25155005,0.2729846,0.30554232,0.35128462,0.40605035,0.45651186,0.4860786,0.48679122,0.46619868,0.44199684,0.42934528,0.43076572,0.4371965,0.438377,0.43157682,0.42123282,0.41079786,0.3980483,0.37795827,0.35035655,0.3230103,0.30675164,0.3065486,0.3174952,0.32992303,0.3376194,0.3413007,0.3443464,0.347833,0.34848705,0.34182325,0.32517913,0.3000127,0.27018443,0.23908989,0.20782961,0.17671007,0.14865884,0.12843166,0.119424604,0.11947173,0.123050846,0.12684052,0.13391368,0.15322697,0.1893785,0.23792203,0.28221038,0.3082646,0.310279,0.29625738,0.27602807,0.25727907,0.24204357,0.23135705,0.22716397,0.23195766,0.24848743,0.2788343,0.32379088,0.37886736,0.431486,0.46536264,0.4698602,0.44894966,0.41842762,0.39531544,0.3862867,0.3853298,0.38353932,0.37852323,0.37780723,0.38805556,0.40915632,0.4316838,0.4468958,0.4496034,0.44168293,0.42519686,0.40090632,0.3662448,0.32210505,0.27749315,0.2480067,0.24589694,0.26865205,0.29911217,0.31663573,0.31121913,0.28777245,0.2570185,0.22602613,0.19471121,0.16429162,0.14271222,0.1429524,0.17077754,0.21692282,0.2607275,0.28588066,0.29138637,0.29106662,0.2985382,0.3168471,0.33501363,0.3399879,0.32517478,0.29589614,0.26242957,0.23408772,0.21515648,0.20619859,0.2067665,0.2158528,0.2347594,0.26627946,0.31396416,0.37339142,0.43036637,0.46582058,0.47069952,0.4516562,0.42621353,0.40870783,0.4039363,0.40786693,0.41469288,0.41972625,0.42011288,0.4161843,0.412119,0.41502023,0.42617735,0.4396328,0.4458442,0.4424672,0.43418124,0.4272305,0.4230697,0.42079267,0.42122218,0.42734727,0.43995157,0.4541488,0.46117353,0.45248404,0.4244468,0.3793172,0.3246682,0.27001557,0.22352247,0.19057369,0.17263965,0.16806187,0.17082997,0.17478846,0.17727534,0.18361269,0.20331591,0.24050486,0.28690645,0.32277605,0.33286428,0.31721178,0.29480806,0.28888118,0.3119603,0.35670498,0.40072796,0.42255592,0.4163048,0.39705706,0.39003372,0.41138855,0.45697603,0.50379205,0.5292668,0.5228551,0.49298993,0.4563206,0.43096128,0.42422166,0.4296855,0.42873695,0.40686974,0.36768147,0.33537197,0.3345023,0.37076458,0.42255118,0.46141338,0.46918932,0.45044842,0.41871735,0.3880091,0.3642303,0.3500922,0.34520403,0.34622976,0.3463013,0.3369641,0.3141588,0.27934542,0.24071987,0.20652123,0.18331333,0.17258246,0.17480272,0.18825023,0.20992164,0.23257719,0.2493416,0.25744298,0.26238,0.2740408,0.297712,0.32824692,0.3505132,0.35301507,0.33512866,0.3085473,0.28498566,0.26985464,0.26221025,0.26145184,0.2703227,0.29287398,0.32987076,0.37734744,0.42550108,0.4627023,0.4784608,0.4712833,0.44868168,0.42318937,0.40507033,0.39876822,0.40478048,0.41843203,0.43254054,0.43993798,0.43968794,0.43763164,0.43849453,0.44122913,0.4360601,0.41826144,0.3905938,0.3656559,0.3485084,0.3352827,0.31574833,0.28980705,0.26852715,0.26477286,0.27920094,0.2972752,0.30068555,0.2788757,0.23564483,0.18363898,0.13789551,0.10894102,0.10171553,0.11523291,0.14414708,0.1790738,0.20982327,0.22977082,0.23976839,0.24720049,0.25873005,0.2751625,0.28935838,0.29444423,0.28791466,0.27461883,0.26005116,0.2475542,0.2362263,0.2246962,0.21355341,0.20784731,0.21610798,0.247065,0.3021223,0.37039185,0.4298692,0.45951268,0.45126137,0.4148146,0.36909828,0.329905,0.30393755,0.29192564,0.2957612,0.3173029,0.35392842,0.39576468,0.4323214,0.45823014,0.47304204,0.47641024,0.46664345,0.4437847,0.41173992,0.37696066,0.34500086,0.32096577,0.31011584,0.31775653,0.34291777,0.37609598,0.4017924,0.40796387,0.3917255,0.36108008,0.32985613,0.31259307,0.3167406,0.34193566,0.37897992,0.41583717,0.43960297,0.44395986,0.43099323,0.41189632,0.3978244,0.39316443,0.39167774,0.3837819,0.36439693,0.3385965,0.3179437,0.31123567,0.31788504,0.3266714,0.3268373,0.3157605,0.30518782,0.3117516,0.3466964,0.40384522,0.46173987,0.49637446,0.49685645,0.47083935,0.43437302,0.40050694,0.37324607,0.35180274,0.33463344,0.32168373,0.3140416,0.3130258,0.31962815,0.3314943,0.34183326,0.34099492,0.32497144,0.30014,0.27998868,0.27286282,0.27648532,0.28268775,0.28738177,0.29213998,0.298704,0.30375996,0.30009854,0.28135663,0.24540977,0.19596155,0.14122458,0.09150597,0.054217596,0.03146035,0.020668691,0.018950766,0.02583923,0.0416669,0.06480953,0.09038659,0.113569506,0.13047563,0.13884048,0.13712275,0.12666722,0.11211719,0.09959748,0.09496746,0.10018444,0.11405399,0.13179381,0.15401383,0.1879515,0.24537112,0.32766858,0.4224566,0.50764567,0.5670573,0.59543896,0.59769714,0.58121204,0.5535076,0.5212026,0.48936513,0.46016732,0.43280518,0.40694836,0.38497972,0.37246168,0.3728105,0.38389203,0.39639315,0.40073118,0.39191255,0.37305674,0.35067558,0.3310382,0.31757936,0.31265303,0.31919697,0.33916602,0.37057364,0.40460697,0.43034837,0.44172165,0.44320032,0.44567153,0.4562237,0.47279695,0.48731348,0.49599734,0.5003991,0.5024925,0.49895802,0.48537406,0.46381006,0.44424418,0.4375868,0.44681588,0.46373984,0.47452906,0.46823707,0.44497833,0.41592845,0.39747056,0.3999792,0.4217694,0.4495249,0.46831527,0.46984747,0.45878103,0.44991207,0.45994088,0.4951266,0.54389095,0.5850443,0.60101527,0.58956295,0.5578701,0.5161216,0.47106352,0.42906538,0.39528215,0.37358543,0.3637755,0.36409554,0.371478,0.38391733,0.3975223,0.40861917,0.41267577,0.40864503,0.3970321,0.3807825,0.3621687,0.34353802,0.32686195,0.31288078,0.3008071,0.28749028,0.27183256,0.25531164,0.24307872,0.2387561,0.24226914,0.25005803,0.25827697,0.26700482,0.27669355,0.28665522,0.29073608,0.28504875,0.2709174,0.25846657,0.25904033,0.2784307,0.3122884,0.34802917,0.3736918,0.38371158,0.38134536,0.37228143,0.360039,0.3456044,0.33091858,0.32391477,0.33527163,0.3751135,0.442095,0.5242691,0.6002906,0.6543842,0.68076754,0.6863182,0.67967564,0.6663818,0.6465083,0.6194085,0.5855241,0.5459415,0.5015961,0.45554176,0.41594782,0.3940904,0.3959792,0.41550127,0.4359447,0.44165543,0.4268136,0.39678362,0.36021355,0.32383323,0.29121587,0.26575127,0.25159302,0.25256658,0.2696391,0.29980516,0.33544675,0.36772716,0.38988304,0.40286198,0.41262165,0.4258542,0.44260645,0.45783687,0.46580362,0.46599534,0.4631593,0.46324858,0.46879348,0.47725585,0.48351917,0.4827299,0.47364557,0.4600072,0.44976258,0.44891104,0.45575976,0.4614629,0.4588724,0.4505142,0.44759497,0.45961785,0.4861226,0.5172367,0.5433497,0.5613322,0.5741143,0.58549476,0.59713537,0.608983,0.6182385,0.6203821,0.60840994,0.5782564,0.5308255,0.47601655,0.42807195,0.40080512,0.40034333,0.42232117,0.45310697,0.4750161,0.4768965,0.4589375,0.43198526,0.40685582,0.38894403,0.377153,0.36947456,0.36481905,0.36316112,0.36347535,0.36446106,0.36555538,0.36784518,0.37289047,0.38097298,0.39012507,0.39648512,0.3962332,0.3872681,0.3700851,0.34731475,0.3232086,0.30347192,0.29519692,0.30604652,0.34159577,0.40035036,0.47086716,0.5344201,0.5757346,0.58997256,0.58301663,0.56153226,0.5297104,0.4897634,0.44954744,0.42064652,0.41575447,0.44091687,0.49353328,0.5604982,0.62239146,0.6625247,0.6743205,0.6633033,0.6387138,0.6082564,0.5748487,0.5395169,0.501916,0.46235272,0.42383158,0.39425132,0.3847696,0.4027157,0.4453385,0.4979842,0.5429298,0.56849295,0.57481,0.56880116,0.55775493,0.5451855,0.53246903,0.52118516,0.51375186,0.51227856,0.5177544,0.52807546,0.53781015,0.5380574,0.52260804,0.49186286,0.45629275,0.43192574,0.43265662,0.46124372,0.5056003,0.54590046,0.5660313,0.5623517,0.54420185,0.52651,0.5221413,0.5323005,0.54779637,0.5539627,0.5437206,0.5217348,0.5034184,0.5027821,0.5231727,0.55439633,0.5831298,0.60336024,0.6194498,0.6382921,0.66134757,0.68239003,0.69176465,0.6834703,0.6592172,0.6282993,0.6012061,0.58414835,0.5756127,0.56913376,0.557345,0.537302,0.5115564,0.4867607,0.46796033,0.45630524,0.44795632,0.43893254,0.42653883,0.41205963,0.3977966,0.3865768,0.3791798,0.37564743,0.37564138,0.37895766,0.38428763,0.38860133,0.3884698,0.382197,0.37062374,0.3568248,0.34353638,0.3327689,0.323993,0.31697837,0.3109592,0.30649903,0.3022407,0.2969165,0.28947762,0.2824842,0.28008255,0.28433666,0.29157653,0.29329258,0.28359377,0.26342624,0.24103226,0.22408657,0.21554942,0.21321273,0.21514262,0.2248314,0.25074252,0.30299425,0.3826069,0.47964716,0.5720601,0.64036137,0.6723003,0.6693023,0.63829625,0.5909722,0.53893274,0.49235025,0.45546117,0.4267602,0.4036248,0.3865334,0.37962452,0.38583413,0.40369305,0.4263657,0.44604966,0.458364,0.46581057,0.4762648,0.49745536,0.52988154,0.56266755,0.57760245,0.5618411,0.5189378,0.47196117,0.44443664,0.44535112,0.45783365,0.46243918,0.45035735,0.43385494,0.42374012,0.42147565,0.41839752,0.41266966,0.4135863,0.4332838,0.47427806,0.5237273,0.56404656,0.5834519,0.5841078,0.574687,0.563513,0.5519357,0.5386762,0.52219707,0.5045307,0.48792848,0.47468153,0.46429753,0.45663977,0.45262504,0.45746624,0.47622833,0.51076704,0.5546275,0.5985407,0.6325523,0.6511114,0.64890814,0.62479895,0.5815587,0.5296912,0.48060438,0.44386148,0.42355812,0.42230475,0.43912864,0.4683245,0.49658498,0.51126456,0.5068346,0.4890522,0.4669563,0.44682097,0.42936036,0.41366836,0.39977276,0.38841987,0.3794769,0.3711541,0.36151993,0.349833,0.33737704,0.32607827,0.31712165,0.30967227,0.30185223,0.29184106,0.27944818,0.26577082,0.2528009,0.24221206,0.23597033,0.23644443,0.24661727,0.2660202,0.28921738,0.3059497,0.30959263,0.30022016,0.28490222,0.26939246,0.2559878,0.24442013,0.23706222,0.23930843,0.25566447,0.28544047,0.32286978,0.36103937,0.39495692,0.4192928,0.42708385,0.4117973,0.3745726,0.32804522,0.28893432,0.26911795,0.26723862,0.27943552,0.30331013,0.34238634,0.39189136,0.43820074,0.4615717,0.4521756,0.41474542,0.36604583,0.3237786,0.2985966,0.29200518,0.29757807,0.30641505,0.3126942,0.3180184,0.32595232,0.33374748,0.3298013,0.3042766,0.25923374,0.20929892,0.16960461,0.14695866,0.13792233,0.13582338,0.13494085,0.13263802,0.12771313,0.12142107,0.11794635,0.12432239,0.14591227,0.18224962,0.22757618,0.2768673,0.3308328,0.39105824,0.4524345,0.5005999,0.5225107,0.51635045,0.49357942,0.4688541,0.45121422,0.44148156,0.43850195,0.44100168,0.44689322,0.44738463,0.43308917,0.40019783,0.358498,0.3247464,0.31359932,0.3283622,0.35845444,0.38526917,0.39108673,0.37295583,0.3468512,0.33820954,0.36164573,0.40646768,0.44812596,0.4671364,0.46470392,0.45209137,0.43941998,0.42739025,0.41424063,0.4001466,0.38870588,0.3818582,0.3767089,0.36598253,0.34227178,0.30237937,0.24897589,0.19075054,0.14020911,0.11027958,0.10792709,0.13009174,0.16369219,0.19332041,0.21012269,0.21639515,0.22192173,0.23359466,0.25001365,0.26115415,0.25934562,0.24384648,0.22261964,0.20351402,0.19120137,0.18755831,0.19607659,0.2215401,0.2639799,0.31698242,0.37149417,0.42370868,0.47228488,0.51102275,0.5263905,0.50824505,0.46220163,0.40887418,0.36942053,0.3508573,0.34536207,0.3419313,0.33653226,0.3332192,0.33849823,0.35821033,0.3932933,0.43572953,0.4664639,0.46581277,0.4289724,0.3743144,0.33404174,0.3316797,0.3664848,0.41516447,0.4522029,0.4664321,0.4626844,0.4504882,0.43432644,0.41367662,0.38778803,0.3578353,0.32634985,0.2949382,0.26835757,0.25354302,0.25670707,0.27315947,0.28942218,0.29347345,0.28834453,0.29112267,0.31608483,0.3609146,0.4037367,0.42449987,0.4175365,0.39928952,0.39059997,0.40457344,0.43499932,0.46183196,0.4651494,0.4406236,0.4049598,0.38237405,0.38505235,0.40490553,0.42283437,0.42900965,0.42731678,0.42876133,0.43672362,0.4472797,0.45405993,0.45590734,0.45505893,0.45624316,0.46110627,0.46819994,0.4698176,0.45904863,0.43426195,0.40530476,0.38628033,0.3864477,0.4030461,0.42579946,0.44497797,0.4553212,0.45433322,0.44033632,0.41205275,0.37067446,0.31872836,0.26225773,0.20826112,0.16450037,0.13448751,0.11789411,0.11131111,0.11102897,0.11367667,0.11596844,0.11581323,0.114870794,0.1201629,0.14297391,0.18817914,0.24823344,0.3004385,0.325264,0.31641793,0.28675303,0.25281537,0.2272821,0.21571441,0.22127141,0.2436751,0.27606156,0.30789527,0.3335966,0.3547802,0.37349442,0.3825078,0.37500247,0.3547349,0.34039077,0.34565297,0.36780462,0.38900456,0.39578006,0.38854066,0.37924555,0.3772256,0.38318765,0.38944554,0.39004585,0.3838978,0.37859467,0.38197032,0.39905456,0.4235048,0.4453996,0.45490935,0.45173314,0.4390372,0.42071185,0.39545155,0.3608978,0.31658852,0.2673019,0.22082467,0.18389948,0.1593725,0.14599563,0.14123692,0.14222741,0.14635356,0.15013625,0.150814,0.14932424,0.15360816,0.17827187,0.2340693,0.31589758,0.39712492,0.44564223,0.44608307,0.40969393,0.36188293,0.31975752,0.28727296,0.26115504,0.24314646,0.23585273,0.24062748,0.2569925,0.28702664,0.32981157,0.3735464,0.40108225,0.40526977,0.39837304,0.39830288,0.41173533,0.43048096,0.4436492,0.44880557,0.450384,0.4540328,0.45992413,0.46394658,0.4597957,0.4452366,0.42447332,0.40559456,0.39313653,0.38290033,0.36702573,0.34311342,0.3203735,0.3120066,0.32287455,0.34241652,0.3523006,0.3406627,0.3099616,0.27114186,0.23326124,0.19797494,0.16543944,0.13903263,0.12649566,0.13177487,0.1511026,0.1732638,0.18836796,0.194173,0.1976962,0.20864443,0.22989845,0.25410998,0.2673938,0.2619838,0.23999782,0.21229309,0.1873733,0.17076205,0.16549955,0.17804378,0.21114318,0.26212955,0.31978425,0.37687966,0.4279143,0.46849635,0.48519745,0.4690071,0.42461845,0.37733638,0.35233602,0.359764,0.38699427,0.415862,0.43398258,0.44254902,0.447518,0.45513153,0.46505702,0.47222528,0.46770546,0.446951,0.41253042,0.3749075,0.34443676,0.32660782,0.3188584,0.3138015,0.304073,0.2894914,0.27924106,0.28601637,0.31377414,0.3522422,0.3842095,0.39937973,0.40059122,0.39785478,0.39859757,0.40274283,0.40607676,0.40538618,0.401812,0.39862314,0.39849898,0.40153956,0.40558544,0.40601334,0.3965764,0.37309778,0.33743557,0.2977834,0.26327008,0.24025477,0.23204057,0.24229534,0.27211288,0.31813625,0.3702847,0.4188811,0.45420602,0.46721116,0.44679317,0.39093614,0.313651,0.24578895,0.21622372,0.23572959,0.28941938,0.35066447,0.39694074,0.42088464,0.42591962,0.4184905,0.40215814,0.37892962,0.35365543,0.33505163,0.33253494,0.34857893,0.37654135,0.4020567,0.41043743,0.39297184,0.35203895,0.29912332,0.24714707,0.20149608,0.16026993,0.11978626,0.08171434,0.050358698,0.029355997,0.017699316,0.012806121,0.01411361,0.025288647,0.051413428,0.09105811,0.13509436,0.1712169,0.19424605,0.20519988,0.20592076,0.19576341,0.17571336,0.15326363,0.13818502,0.13671595,0.14784884,0.16754837,0.19700341,0.24351025,0.31700018,0.41445768,0.51931614,0.60435003,0.6526043,0.6624862,0.6483324,0.62483835,0.60057706,0.5763635,0.5510511,0.5242505,0.49618554,0.46747652,0.4401039,0.4188122,0.40854892,0.41019416,0.41699222,0.41840228,0.40658152,0.38233984,0.35301062,0.3277668,0.31245363,0.3093482,0.31815317,0.33651695,0.35865727,0.37515846,0.37718344,0.36370578,0.34492657,0.3383491,0.35473737,0.3908598,0.43029717,0.4617152,0.4843948,0.50535476,0.5221686,0.5254669,0.50917476,0.48380467,0.46958578,0.48115706,0.51525974,0.55187464,0.5678502,0.55131793,0.5100864,0.4665264,0.4424039,0.4458547,0.4668071,0.48824623,0.497054,0.49193737,0.48196867,0.48013428,0.49689063,0.52971107,0.56676584,0.5913628,0.59716463,0.58618313,0.56745183,0.54642314,0.52639335,0.50661975,0.4876298,0.46947944,0.45527127,0.44656458,0.44411722,0.44293514,0.43750355,0.42304388,0.40160716,0.37829342,0.35957864,0.34812355,0.34371367,0.34372056,0.34543994,0.34690806,0.3472209,0.34704995,0.3474898,0.34982932,0.35357508,0.357113,0.35779226,0.35443735,0.34786257,0.34038317,0.33285114,0.3236375,0.31036803,0.29423606,0.28111836,0.27967548,0.29389903,0.32016802,0.34647736,0.3619678,0.3617083,0.34991154,0.33306095,0.31599605,0.30082926,0.29070637,0.29363358,0.31865942,0.37088874,0.4440187,0.52446985,0.5958488,0.647871,0.67683274,0.68619186,0.6810382,0.6656112,0.6411317,0.6096392,0.57552934,0.545052,0.5219521,0.5071295,0.5006898,0.50469446,0.51979345,0.5417704,0.5599504,0.5642584,0.55031997,0.52243096,0.48810473,0.45430812,0.42448997,0.40046954,0.3841242,0.3795404,0.3922762,0.4262147,0.47700718,0.5311425,0.5711355,0.5894229,0.5909639,0.58876485,0.58824414,0.58703595,0.5788183,0.5654524,0.5548062,0.5558202,0.5698526,0.59047294,0.60755444,0.6123152,0.601821,0.58082145,0.5604834,0.55032253,0.5491281,0.5444948,0.52447826,0.48981094,0.4571881,0.44438887,0.45978704,0.49370536,0.53347427,0.5681564,0.59778494,0.62221193,0.64243436,0.65644974,0.66436285,0.6646722,0.65427786,0.6285685,0.5867831,0.5354432,0.48751214,0.45561197,0.4459331,0.45521367,0.47438797,0.49233308,0.50201124,0.50137687,0.49366906,0.4820474,0.46828294,0.4526569,0.43769705,0.4280089,0.42757162,0.43622732,0.44989732,0.46386364,0.47494912,0.48110798,0.48047975,0.472296,0.45890495,0.44537088,0.43735394,0.4375341,0.4439256,0.45032895,0.4503442,0.4424304,0.43214205,0.42913857,0.44007778,0.4637593,0.49155435,0.514164,0.5267752,0.53040665,0.5277028,0.52025527,0.50885785,0.4953055,0.4853874,0.48669347,0.50846267,0.55179965,0.60867214,0.65897495,0.6863661,0.6844501,0.6621092,0.63121647,0.6010112,0.5746042,0.55242014,0.5331545,0.51440173,0.49457705,0.47473302,0.45873162,0.44936904,0.4462981,0.44504324,0.44137385,0.43255702,0.4198161,0.4058797,0.3948705,0.39085653,0.39776945,0.41803682,0.44885048,0.48259735,0.510756,0.5312485,0.5472489,0.55955464,0.5618369,0.5456266,0.5123783,0.47667637,0.4585124,0.46842852,0.5001519,0.53610784,0.5599454,0.5665267,0.5622446,0.5589847,0.5657169,0.58178765,0.59776926,0.6022516,0.59253746,0.5764106,0.5679732,0.5763609,0.6009427,0.6301945,0.6510431,0.6560428,0.6487991,0.6386449,0.63391155,0.6352901,0.636789,0.63099355,0.61516696,0.59253246,0.5685828,0.5466756,0.5266662,0.5063996,0.48405755,0.45944312,0.43500337,0.4153652,0.40521824,0.405386,0.41094038,0.41342136,0.40689245,0.39150965,0.3729582,0.35679337,0.345408,0.33754587,0.33205545,0.32863143,0.32720998,0.32601348,0.32340786,0.32001212,0.31877518,0.32168618,0.32665166,0.3293036,0.32602513,0.31801125,0.3079941,0.29882327,0.28975925,0.28075984,0.27286467,0.27045622,0.27795497,0.29671395,0.32258615,0.3454715,0.35683462,0.35339418,0.3407102,0.32572845,0.31340608,0.30476773,0.30207086,0.31261364,0.34594262,0.40703857,0.4889083,0.575903,0.65105945,0.70373964,0.7298854,0.72942704,0.7050081,0.6624561,0.61190516,0.56501526,0.53053,0.5091054,0.49519768,0.48265854,0.4719694,0.46762457,0.4718325,0.47800502,0.4758186,0.4603126,0.43906853,0.42730555,0.43649542,0.46393076,0.49421945,0.50937575,0.5023647,0.4804156,0.46165034,0.46145204,0.48339915,0.5129227,0.52983433,0.5236432,0.50461894,0.49144956,0.49365363,0.5055861,0.51783794,0.53083706,0.55163074,0.5846458,0.6231491,0.6563842,0.67533964,0.67838234,0.6671441,0.6462154,0.6202491,0.5941493,0.5702719,0.5494352,0.53277344,0.52280474,0.5221512,0.5305781,0.5455842,0.56390864,0.5828438,0.6001234,0.61371595,0.624499,0.63504505,0.6467967,0.6547633,0.6506067,0.62900746,0.5936752,0.55444354,0.5210949,0.49897873,0.48977295,0.4929036,0.50535643,0.5208805,0.5325103,0.5360321,0.53207463,0.52364105,0.513649,0.5034735,0.4937655,0.48473823,0.47600195,0.46647087,0.4550468,0.44208387,0.42982188,0.42142043,0.4190569,0.42318568,0.43291667,0.4464755,0.46059623,0.47069907,0.47211543,0.4630742,0.4456893,0.4263146,0.41279545,0.41248015,0.4266607,0.44951513,0.468564,0.4746383,0.466784,0.4546058,0.449924,0.45995376,0.48204246,0.5055573,0.5192179,0.51871336,0.509494,0.5015202,0.5024736,0.5134177,0.5281615,0.5356152,0.5264279,0.50067073,0.47001275,0.44893786,0.44325888,0.4459599,0.44431576,0.43097684,0.4086707,0.38767982,0.376683,0.3772385,0.38230333,0.38389304,0.37831458,0.36835685,0.35730436,0.34631982,0.33468702,0.32324266,0.31448948,0.30939022,0.30561322,0.29734668,0.28042045,0.25484496,0.22657846,0.20237821,0.18630572,0.17736132,0.1725655,0.1692758,0.16653524,0.16401328,0.16136158,0.15803103,0.15431447,0.15175672,0.1532811,0.16107647,0.17713563,0.203876,0.24588843,0.30422032,0.37131497,0.4298809,0.46365985,0.46678948,0.4472539,0.4185878,0.39371526,0.37926742,0.3772889,0.38232473,0.38495338,0.37542593,0.3540062,0.33227387,0.32509264,0.33855534,0.36494997,0.39142132,0.40843228,0.41527137,0.41542527,0.41310945,0.40972123,0.4047135,0.39615157,0.38168153,0.35939658,0.3290154,0.29486585,0.2653897,0.25060356,0.25508702,0.27553073,0.3022506,0.32447895,0.33381486,0.32480517,0.29695603,0.25506464,0.2089185,0.16715062,0.13402684,0.10888639,0.090147264,0.076978326,0.06895006,0.06484004,0.06286829,0.0618514,0.062098343,0.065392315,0.0736787,0.086658716,0.1006974,0.11025726,0.111966014,0.106380574,0.09727078,0.08791914,0.080170386,0.07447556,0.07194745,0.07380788,0.08315151,0.105498455,0.15090092,0.22408111,0.31716266,0.40391937,0.4583992,0.46878013,0.44674635,0.41344428,0.38748565,0.3771768,0.38050675,0.39087167,0.40024623,0.4062325,0.40885186,0.40906098,0.40340415,0.38705936,0.35669085,0.31535164,0.27223656,0.24078387,0.22995377,0.23964886,0.2578487,0.27303007,0.2802869,0.28537074,0.2917663,0.29757294,0.29627892,0.28588316,0.2678444,0.2431817,0.21026981,0.16968013,0.12714465,0.091249645,0.067014374,0.053978246,0.048382863,0.04788581,0.05319782,0.06594371,0.08481887,0.10349548,0.11412089,0.11409048,0.111022346,0.12139381,0.15927632,0.22562318,0.3019861,0.36187208,0.38519934,0.37253466,0.34283134,0.32193828,0.3261999,0.3529413,0.3860282,0.40820226,0.41356382,0.40601692,0.39347884,0.38083145,0.36962566,0.35925296,0.34899577,0.3389261,0.33015075,0.3242174,0.32197067,0.3232372,0.32709166,0.3325374,0.33803234,0.3414539,0.34049627,0.33536923,0.32906067,0.32744327,0.3329146,0.34338585,0.35001263,0.34673786,0.33098227,0.3068515,0.27632087,0.24163848,0.20387983,0.16835582,0.1397465,0.12118837,0.11112615,0.1065399,0.10424992,0.10317969,0.104360014,0.110924184,0.12553358,0.14866027,0.17791314,0.21272857,0.2546591,0.30558053,0.35881498,0.40052953,0.41496715,0.39729142,0.356429,0.3108623,0.27973685,0.27553868,0.30521283,0.36541405,0.44425416,0.5182524,0.56667924,0.57769126,0.5559714,0.51309484,0.46353224,0.4190949,0.38977006,0.38102785,0.38965473,0.4043766,0.4103706,0.40156427,0.3824663,0.36493647,0.35599503,0.35473463,0.35535464,0.3535792,0.35043707,0.347899,0.3478929,0.34726942,0.3427532,0.32840636,0.30188912,0.26300517,0.21926796,0.18018942,0.15304957,0.1365209,0.12486223,0.11475932,0.10833106,0.10900622,0.115473635,0.12347478,0.1310209,0.1433916,0.16787483,0.20627771,0.24891984,0.28079674,0.2919668,0.2863417,0.27939093,0.28766194,0.31723478,0.35866,0.39351928,0.40695652,0.39827946,0.3798859,0.36734757,0.36734688,0.3754162,0.38137412,0.37993634,0.37212887,0.3623941,0.35217524,0.34184316,0.333096,0.3302209,0.335135,0.3456825,0.35647032,0.36493745,0.37008917,0.373117,0.3719027,0.3662069,0.3541604,0.3358866,0.30763412,0.26910314,0.22526866,0.19126582,0.1814325,0.19931556,0.23126411,0.25701892,0.26297936,0.24889843,0.22193538,0.18821876,0.15151134,0.116249256,0.090101115,0.07886515,0.08227723,0.09237591,0.10035325,0.103095196,0.10715724,0.12396839,0.15899348,0.20468533,0.24200805,0.25563312,0.24308194,0.21644084,0.19024934,0.17438735,0.17173089,0.18160035,0.2007662,0.22408555,0.24715321,0.27174106,0.30269876,0.34160826,0.37700132,0.39488673,0.38780335,0.36553574,0.34189174,0.32672694,0.31834683,0.31202403,0.30413052,0.29701892,0.2957941,0.30850747,0.33736566,0.37764123,0.41238678,0.4269003,0.41376153,0.38075343,0.33937442,0.2988748,0.26316676,0.23588687,0.22491503,0.23562177,0.26411325,0.29288766,0.302479,0.28256142,0.23810047,0.18287647,0.13243808,0.09879478,0.09040319,0.10921069,0.14868796,0.19204532,0.22134842,0.22845896,0.22303742,0.2254514,0.25061575,0.2962636,0.3431798,0.3722229,0.3775936,0.3729662,0.3788787,0.4076058,0.45304027,0.4940615,0.5101022,0.49412313,0.4603583,0.43473026,0.43839994,0.46979204,0.5028853,0.5061613,0.46657407,0.40081438,0.34053266,0.30935642,0.3080258,0.3191627,0.32351387,0.31287053,0.29344591,0.27858305,0.27899072,0.29538205,0.3178045,0.3346517,0.3406451,0.34175837,0.34640184,0.35835084,0.37016615,0.36962807,0.3487018,0.3119224,0.27258113,0.24074477,0.21462142,0.18471773,0.14512779,0.100158535,0.059489343,0.030673398,0.0144826835,0.007375773,0.004789621,0.0037851988,0.0030655458,0.0023690346,0.0017495789,0.0012780299,0.0009744346,0.0008282135,0.0008247032,0.00096873456,0.0012860833,0.0018146379,0.002581833,0.0035865668,0.004798766,0.0061762924,0.0076851607,0.009309986,0.011058151,0.012963594,0.015081252,0.017457088,0.020091003,0.022935731,0.025955668,0.029184023,0.032667533,0.03634249,0.03994326,0.043167274,0.04586467,0.048182886,0.050348345,0.052509833,0.054573804,0.056354523,0.05761105,0.05819953,0.058103085,0.05757499,0.057115022,0.057367187,0.058834065,0.061601654,0.06709891,0.08135927,0.1181477,0.19247846,0.30775884,0.4447563,0.56934005,0.6526653,0.6866757,0.68235517,0.6559499,0.62077403,0.58469003,0.5522852,0.5242128,0.4990181,0.47627786,0.45904338,0.45221153,0.45816183,0.4732097,0.48857358,0.49397263,0.48363146,0.4582995,0.42495856,0.3924174,0.3684106,0.35768685,0.36100808,0.3742701,0.38881648,0.39591512,0.3921142,0.3822545,0.37639222,0.3830278,0.40412608,0.43496394,0.47038737,0.5067614,0.5413113,0.56547254,0.5700142,0.5514615,0.5208106,0.49691895,0.49503028,0.51571757,0.54382855,0.55875665,0.546797,0.5110133,0.46990514,0.44564664,0.45072243,0.47887483,0.51304144,0.5359575,0.5418043,0.5363157,0.5321111,0.5409371,0.564151,0.5925947,0.6099791,0.6053124,0.5756839,0.5276747,0.47146225,0.4183698,0.37644228,0.34962678,0.33760798,0.3386483,0.34983882,0.36700034,0.3829867,0.39008442,0.38328186,0.36375782,0.33723378,0.3104562,0.28775772,0.2713391,0.26220906,0.26096353,0.26635882,0.27496186,0.28152,0.28214157,0.27595624,0.2657015,0.25456214,0.24436694,0.23452096,0.22430813,0.213735,0.20413302,0.1962855,0.19030356,0.18651015,0.18793435,0.2011106,0.23113155,0.2761669,0.32320404,0.3564659,0.36539686,0.35195935,0.3242459,0.29116035,0.2586849,0.2336672,0.22539274,0.24219029,0.2864766,0.35366213,0.43612733,0.5252666,0.6095446,0.67529345,0.71198374,0.71944577,0.70614547,0.68333006,0.65900034,0.63766795,0.6210721,0.60923886,0.6015166,0.59843946,0.6019192,0.6121382,0.62505513,0.63277584,0.62941545,0.61429524,0.5922645,0.5686833,0.5470492,0.5287469,0.51521605,0.5085824,0.5101359,0.51863354,0.53020376,0.5395778,0.5432561,0.540196,0.5348623,0.53250486,0.5377812,0.5482428,0.5593631,0.5663609,0.56905025,0.5698774,0.57084674,0.5731923,0.57443905,0.57293326,0.56500655,0.5510996,0.5336649,0.5199556,0.51442116,0.51483196,0.511309,0.49556613,0.4696602,0.448118,0.44656727,0.47109565,0.5117202,0.55405444,0.5866321,0.6079788,0.61830896,0.62042356,0.6166155,0.61200595,0.6068516,0.59758544,0.5768772,0.5434952,0.50189537,0.46247983,0.43364933,0.42093828,0.42292333,0.43435952,0.44601044,0.45175686,0.44822738,0.43740174,0.4206473,0.40065333,0.3786967,0.35760713,0.33855996,0.32230937,0.3081894,0.29608965,0.28632107,0.27981684,0.277477,0.2797316,0.2857908,0.29380453,0.30164206,0.3084711,0.31397828,0.31704473,0.31509218,0.3070905,0.2972369,0.29561153,0.3140415,0.35711947,0.41686487,0.47372022,0.50937104,0.51693,0.50427216,0.48437777,0.46678427,0.45452055,0.4479709,0.44913873,0.46227548,0.49221238,0.5389934,0.595197,0.6458821,0.6774137,0.683587,0.6686552,0.641182,0.6101136,0.5816595,0.5591035,0.5419859,0.5273419,0.5133886,0.50207937,0.49855003,0.505418,0.5193147,0.5301182,0.52738565,0.50586134,0.46893427,0.4259193,0.38695955,0.35991025,0.348832,0.35509932,0.3755969,0.40356874,0.4309757,0.45291412,0.4681665,0.4751614,0.470431,0.45092806,0.42057613,0.3912394,0.37670746,0.38336626,0.4058818,0.4323231,0.4533385,0.4659102,0.4745209,0.48464468,0.5018192,0.5233863,0.54209393,0.5474191,0.5354786,0.5105901,0.48556682,0.47480965,0.48519722,0.51034,0.5353233,0.5488183,0.55108905,0.5518957,0.5618675,0.58513236,0.61521965,0.6391484,0.6454187,0.632443,0.6079944,0.5814059,0.55741113,0.53429794,0.5096245,0.48260605,0.45660436,0.4359322,0.42356917,0.4182231,0.4145757,0.4066039,0.39125633,0.37043282,0.34883633,0.33081388,0.3180151,0.30955788,0.3035241,0.2986844,0.2945718,0.29113027,0.28755248,0.2832141,0.27778804,0.27240038,0.26806054,0.26557317,0.26401353,0.2623624,0.25936243,0.25493822,0.24866092,0.24033345,0.23036225,0.22161745,0.21892445,0.22413309,0.23337108,0.23666604,0.22768597,0.20691927,0.18269329,0.16176032,0.14719927,0.13861848,0.13799995,0.15222771,0.19191964,0.26691794,0.37686214,0.50643945,0.62616605,0.70787805,0.73784417,0.72329205,0.68259877,0.6345735,0.5914641,0.55901545,0.53763574,0.52356005,0.5124262,0.50350785,0.500995,0.5090917,0.5252437,0.5394984,0.5411958,0.52835846,0.50944936,0.49768248,0.5014431,0.51890165,0.539254,0.54883647,0.5409453,0.5202758,0.50325346,0.50482637,0.5281997,0.5577511,0.57344586,0.565329,0.54213434,0.5187389,0.5029027,0.49203017,0.48232353,0.47680184,0.48174134,0.49952245,0.52382636,0.54599684,0.5598367,0.56462353,0.56010777,0.5459539,0.5222731,0.49264714,0.46289393,0.4381006,0.42091727,0.41169238,0.41078797,0.41880846,0.43671152,0.4656333,0.5057722,0.5550819,0.6057253,0.6475625,0.67106944,0.67379016,0.6576752,0.62855023,0.5918826,0.5537464,0.5186425,0.4898044,0.4685762,0.45624992,0.45360574,0.45970204,0.46963498,0.4770666,0.4767278,0.46785834,0.45198217,0.4326961,0.41320384,0.3968281,0.38487256,0.37691703,0.37086228,0.3643978,0.3558948,0.34494826,0.33282384,0.32195413,0.31480286,0.31246328,0.31405035,0.3179175,0.32198098,0.32422176,0.3215816,0.31203154,0.2965403,0.2810446,0.27404872,0.28048968,0.29739556,0.31331667,0.3173944,0.30552378,0.28375104,0.26098034,0.24412407,0.23473197,0.23146343,0.23212732,0.23766182,0.25396848,0.29110155,0.35244742,0.42779604,0.492095,0.5232858,0.5127973,0.47092733,0.41348234,0.3553675,0.30474588,0.26601794,0.23923798,0.22186887,0.2098052,0.19972338,0.19008385,0.18080127,0.17238025,0.16488503,0.15814227,0.15179282,0.14583494,0.14024961,0.1352911,0.13206573,0.13382715,0.1466509,0.17658772,0.22554159,0.28651714,0.34722248,0.3955023,0.427344,0.4440466,0.44822904,0.43750396,0.40816903,0.3601788,0.30252692,0.25090358,0.22144835,0.22186337,0.24682982,0.27872333,0.2977365,0.29320475,0.27187434,0.2527332,0.25305882,0.27572787,0.3080635,0.33425507,0.34441867,0.33730042,0.3129774,0.27265814,0.22132377,0.17248686,0.14453249,0.15019764,0.18805195,0.24037592,0.28586206,0.31042337,0.31478158,0.30696094,0.29576716,0.28563216,0.27890766,0.2783961,0.28796813,0.3111814,0.34704795,0.3882407,0.4213347,0.43301812,0.41769806,0.38212228,0.34329966,0.31862703,0.3167545,0.3325474,0.35190585,0.35993436,0.34926286,0.32304895,0.29322532,0.27456754,0.27590743,0.29522467,0.32050195,0.33952442,0.34605813,0.34200466,0.33168778,0.3192499,0.3072075,0.29769823,0.2907449,0.28355235,0.27017158,0.2462966,0.21206923,0.1736008,0.13827947,0.11168765,0.09715191,0.09887591,0.12274621,0.171449,0.23856826,0.30753025,0.3591602,0.38242996,0.38150752,0.37551093,0.3868567,0.42553306,0.47702965,0.51148576,0.5045385,0.45599625,0.38563776,0.31731227,0.2640985,0.22721034,0.2011203,0.17995112,0.1602264,0.14173442,0.12558883,0.112374656,0.10082627,0.09022925,0.08301965,0.087431274,0.113781415,0.16785425,0.24244685,0.3194623,0.3780427,0.4075185,0.40866432,0.39206406,0.3689898,0.34945115,0.33633676,0.327507,0.3169694,0.30089173,0.27973303,0.25683096,0.23665555,0.22000968,0.20524251,0.1878456,0.16645946,0.14308964,0.122710735,0.108234525,0.0991483,0.092513986,0.08703181,0.08593587,0.09812982,0.1323781,0.18841855,0.25077197,0.29738256,0.3153729,0.3102647,0.29938146,0.29885074,0.31651083,0.35014606,0.3897762,0.4220812,0.4389162,0.44138432,0.43648967,0.42929253,0.42003956,0.40636313,0.38791215,0.3673471,0.34952867,0.33869424,0.33713457,0.3436447,0.35396814,0.36178538,0.3626834,0.3557552,0.34408304,0.33094466,0.31892112,0.30933908,0.304333,0.30582544,0.3139913,0.32566598,0.33532262,0.33793268,0.33018267,0.31156242,0.2829647,0.24791871,0.21088244,0.17741545,0.1510875,0.13357413,0.123680025,0.11916577,0.11766318,0.11792508,0.11977184,0.12276957,0.12573801,0.12649418,0.12409428,0.11906579,0.113544255,0.10897655,0.10583959,0.10352617,0.101472475,0.0993034,0.09692808,0.09439263,0.091926806,0.089782424,0.08808308,0.08664208,0.08519284,0.08353605,0.08172464,0.079886846,0.07816132,0.07660089,0.07522569,0.07400266,0.072867,0.07174309,0.07059628,0.069479585,0.06846859,0.067598686,0.06672832,0.0656558,0.06422096,0.06250067,0.060692985,0.058990296,0.05742109,0.055920094,0.05443893,0.05300814,0.051695492,0.050521687,0.049460944,0.048462704,0.047500726,0.046569496,0.045689195,0.044901118,0.044211227,0.043565337,0.042805087,0.041807488,0.040507067,0.038994838,0.037389908,0.035863366,0.034524124,0.033451635,0.03261194,0.031914834,0.031221101,0.03043293,0.029510656,0.028503483,0.027506797,0.026631663,0.029364206,0.04598863,0.09654907,0.19675179,0.34365916,0.50358295,0.63405794,0.70642304,0.72394794,0.7065751,0.6750944,0.6402672,0.6068328,0.57712317,0.5519035,0.531139,0.5165674,0.513273,0.52694386,0.5567906,0.5926942,0.6180263,0.6200414,0.5958096,0.55298924,0.5032109,0.45732626,0.4222782,0.40105465,0.39260674,0.39320517,0.3980452,0.40337184,0.4074435,0.41129217,0.41851905,0.43296862,0.45619276,0.48529962,0.5161918,0.54407835,0.5646086,0.5712488,0.5608819,0.5380282,0.5169948,0.51246434,0.5287967,0.5550626,0.5709715,0.5603991,0.52194005,0.4715697,0.43410674,0.4279945,0.45516422,0.4997805,0.54193765,0.56775284,0.5753918,0.5715926,0.56728524,0.5732741,0.59138316,0.6144177,0.6282901,0.62422585,0.60106987,0.56486845,0.5235097,0.48377106,0.45048752,0.42575958,0.41062653,0.4059001,0.41153383,0.42469665,0.4379152,0.44319665,0.4360024,0.4185184,0.39621684,0.37429127,0.3556498,0.34162936,0.33308372,0.3293678,0.32805374,0.3249363,0.31720492,0.30523524,0.29308984,0.28562272,0.28572008,0.293017,0.3041676,0.31520346,0.3224537,0.32441628,0.32063034,0.31297883,0.30482617,0.30158803,0.30803338,0.32513407,0.34752798,0.36413315,0.36522543,0.34821296,0.32053325,0.2929332,0.27324197,0.26335523,0.26335463,0.27805117,0.31643572,0.38744175,0.4862156,0.59495026,0.68595153,0.74222416,0.7608927,0.75497836,0.73805887,0.71951324,0.70145136,0.6838133,0.66666216,0.65007585,0.6336361,0.6170432,0.60293865,0.5964265,0.60039073,0.61059004,0.6163145,0.608531,0.5860829,0.5561621,0.5272524,0.50414264,0.48637953,0.4717928,0.45941612,0.45221683,0.45501065,0.47214022,0.5012156,0.5348328,0.56287616,0.58184415,0.59370726,0.6033175,0.6099159,0.6090712,0.5968246,0.57716286,0.5597983,0.5547076,0.5641355,0.5816791,0.5967381,0.60060596,0.5928176,0.57937723,0.5706763,0.570503,0.5754542,0.5741935,0.5603468,0.5363448,0.5163393,0.513679,0.53231376,0.561989,0.5879349,0.60028034,0.5989744,0.5907421,0.58431345,0.5860572,0.59503275,0.60265875,0.59673876,0.5709553,0.52952373,0.4855709,0.4534833,0.44243145,0.4541655,0.48287854,0.51724887,0.54337996,0.5520771,0.54222417,0.52024037,0.4926612,0.46380356,0.43593672,0.41372696,0.402545,0.40546334,0.41902193,0.43572107,0.44849524,0.45545018,0.4587994,0.4619604,0.46563885,0.46779242,0.46468508,0.45439073,0.43776694,0.41840962,0.39972472,0.3843573,0.3749591,0.37703276,0.3967261,0.43601832,0.48594642,0.53017426,0.5531426,0.5513029,0.53177625,0.506386,0.48251438,0.4632596,0.4502858,0.44826034,0.46370032,0.50103784,0.5564869,0.61717224,0.6657071,0.6904227,0.68969554,0.67033786,0.6409207,0.60885173,0.579974,0.55716926,0.53922385,0.5214912,0.50181466,0.48360384,0.47432432,0.47811973,0.4918973,0.5062464,0.51215786,0.50492877,0.48529878,0.45652255,0.42318466,0.39056244,0.36413434,0.34720603,0.3403245,0.34334838,0.35999754,0.39406338,0.44320002,0.4914718,0.5186611,0.513015,0.48310935,0.45307875,0.44626012,0.471002,0.5142438,0.55479544,0.57456356,0.57024187,0.5511605,0.5342727,0.53474426,0.5545249,0.58289415,0.60073346,0.59857327,0.5802223,0.56464046,0.5684206,0.5956053,0.6319956,0.65964574,0.6695474,0.6666207,0.6611527,0.6603029,0.6643961,0.66705114,0.6591813,0.63360405,0.5913132,0.5412125,0.49567202,0.46330228,0.44517222,0.4366044,0.43143377,0.42694902,0.42365542,0.4226261,0.42203173,0.41794217,0.4080398,0.39370582,0.3787831,0.36615777,0.3569919,0.352222,0.3537431,0.36390552,0.38227126,0.40417072,0.42065057,0.4235517,0.4100965,0.38552526,0.35942695,0.34013987,0.33083227,0.32986274,0.33386183,0.33923402,0.3428483,0.34144536,0.33407304,0.32316288,0.3151562,0.31601274,0.32706222,0.34248352,0.35318962,0.35320845,0.3429284,0.32690343,0.30856737,0.28936064,0.27086616,0.2590072,0.26485762,0.30203912,0.3793199,0.49072543,0.61329764,0.71515805,0.7742536,0.7866642,0.7644486,0.7217954,0.67041606,0.6186382,0.57477546,0.5430431,0.52248996,0.5083531,0.49959064,0.5002616,0.5153162,0.541908,0.5683524,0.58061695,0.5738688,0.5558778,0.5433257,0.54783934,0.5687118,0.5903309,0.5957821,0.57771534,0.5456608,0.51838034,0.5106209,0.52400845,0.5447211,0.5584654,0.5590486,0.55601424,0.5594821,0.57503104,0.5980111,0.6236972,0.6475034,0.6669331,0.6798041,0.68606025,0.68847346,0.6882119,0.6832858,0.66707736,0.63659334,0.59539706,0.55515057,0.52641344,0.51474524,0.51750445,0.5294293,0.5438896,0.55800456,0.57187027,0.59097505,0.6192055,0.6561865,0.69270104,0.7184968,0.72545844,0.7121742,0.67956156,0.6321625,0.57677144,0.5233145,0.47954175,0.44953898,0.4330126,0.42941484,0.43693057,0.45146108,0.46447444,0.469025,0.46353313,0.45319307,0.44248238,0.43255877,0.42150533,0.40989017,0.4006826,0.39728132,0.3995436,0.40386263,0.40541342,0.40201545,0.39538547,0.38976064,0.38767776,0.38820723,0.38707185,0.38093206,0.36922657,0.35516465,0.3422819,0.33258986,0.32673702,0.32716098,0.3410779,0.37455022,0.42597833,0.47897044,0.5133245,0.5150684,0.4870318,0.44112232,0.3916222,0.34807882,0.3168517,0.30149448,0.30362484,0.32308492,0.35889825,0.40736768,0.45923802,0.49872622,0.51100206,0.49020445,0.44396293,0.38674426,0.33278996,0.28982484,0.25993395,0.24067731,0.22835009,0.21954185,0.21241659,0.20639336,0.20102738,0.19565518,0.18918999,0.1812871,0.1722774,0.16321,0.15455706,0.14627247,0.1387101,0.13449802,0.13930066,0.1586905,0.19449534,0.24148257,0.29077876,0.33349335,0.36502853,0.38414344,0.3912505,0.3860111,0.36679557,0.3337797,0.29221395,0.2542621,0.23366708,0.23793371,0.2626686,0.2925615,0.31010687,0.30499712,0.2812884,0.2537671,0.23783539,0.24000315,0.25719652,0.28376094,0.313241,0.33645537,0.33896312,0.310235,0.253889,0.19106863,0.14979859,0.14727227,0.18031918,0.22676389,0.26325712,0.27688685,0.27117828,0.25561902,0.23904186,0.22474702,0.21335602,0.20425488,0.19682653,0.19051951,0.18495817,0.18003635,0.17578162,0.17223728,0.16964114,0.16899274,0.17350519,0.1882323,0.21831425,0.26338765,0.31612372,0.36246136,0.38953674,0.39051202,0.37027797,0.3432883,0.32767192,0.33440074,0.35999945,0.38963556,0.40735793,0.40713525,0.39308313,0.37335613,0.35182127,0.3283874,0.3019466,0.27443498,0.24710824,0.2193045,0.18794926,0.15297954,0.117984,0.08956853,0.07417385,0.077337466,0.10264992,0.14968604,0.21202223,0.27702013,0.3297368,0.35898057,0.3654758,0.3649737,0.3830404,0.43635663,0.5183651,0.5980649,0.64239496,0.63535404,0.5856442,0.5131717,0.43661594,0.36572444,0.3034866,0.24933584,0.20246498,0.16291688,0.1311996,0.10698477,0.08863828,0.07385838,0.061469793,0.05254813,0.051662922,0.06528143,0.0993911,0.15374823,0.22092764,0.2868029,0.33845294,0.36754894,0.3756521,0.36987564,0.36050615,0.35226634,0.34449217,0.33232117,0.3135512,0.29086542,0.26894334,0.2506323,0.23239116,0.20943493,0.17896825,0.14522542,0.11460254,0.09176908,0.076421805,0.06531236,0.05586793,0.04813267,0.046122734,0.05522698,0.07954968,0.116519235,0.15796478,0.19397284,0.22112066,0.24274464,0.26562896,0.29376566,0.32605422,0.35635993,0.37493777,0.37434205,0.35363182,0.32037076,0.2841557,0.2513767,0.22278734,0.1965546,0.17133366,0.14755388,0.12676293,0.11027936,0.09807519,0.08871304,0.079847686,0.06990273,0.05891637,0.049142063,0.043947786,0.046504896,0.057513267,0.074004956,0.08970254,0.0982087,0.09639025,0.08604798,0.07227765,0.060243234,0.05247579,0.04817636,0.04490262,0.041615125,0.040994495,0.049508315,0.07220906,0.107995994,0.1471435,0.17947002,0.20158733,0.22061445,0.24561171,0.27966085,0.31719255,0.349625,0.3721925,0.38521528,0.39242423,0.39664695,0.3996514,0.4016173,0.40345398,0.4062257,0.41207382,0.4222467,0.43735513,0.4554117,0.47242367,0.48256102,0.48117808,0.46637294,0.4395335,0.40471354,0.3678693,0.3355634,0.31205466,0.29769108,0.2896656,0.28468183,0.28066874,0.27670562,0.27254474,0.26811948,0.2637463,0.25977203,0.2565328,0.2538861,0.25136444,0.24829958,0.24429554,0.23949184,0.234325,0.22915588,0.22358876,0.21683504,0.20807499,0.19752724,0.1863166,0.17615515,0.16818202,0.16255246,0.15849538,0.15491152,0.15096661,0.14624451,0.14089441,0.13554679,0.13126148,0.12917916,0.12944739,0.13094579,0.13128088,0.1289423,0.12382994,0.11764804,0.111948095,0.10767469,0.10468941,0.10252815,0.100528575,0.09834548,0.09631673,0.09601606,0.099469036,0.10769499,0.11903878,0.12994604,0.13711977,0.13971098,0.13906641,0.13710284,0.13490881,0.13266851,0.13030392,0.12784606,0.12546645,0.12323871,0.12114055,0.118980415,0.11657984,0.113750525,0.110495806,0.10693825,0.10332372,0.09983013,0.096494935,0.09322288,0.08987794,0.08636252,0.082557224,0.078268014,0.07341436,0.06827709,0.06353435,0.05973306,0.056860235,0.054419372,0.051962864,0.04940149,0.046755448,0.043894846,0.04054631,0.036628168,0.03235288,0.028080938,0.024068348,0.020387819,0.017025871,0.013980242,0.011292969,0.008996462,0.0071083386,0.00564673,0.0046721753,0.0042630136]