[0.0100957975,0.009795558,0.009198371,0.008561888,0.00816311,0.008105638,0.0083554825,0.0087484615,0.009146493,0.009495969,0.00986761,0.010373886,0.011139526,0.012271035,0.013858567,0.01574328,0.017452886,0.01833645,0.018165827,0.017361142,0.016796833,0.017148675,0.018571027,0.020807955,0.02355171,0.026840927,0.03124381,0.03777508,0.04728942,0.059531588,0.07281875,0.08455113,0.09283053,0.09725508,0.09900552,0.099493444,0.099528305,0.098783605,0.096394636,0.09158329,0.08441717,0.07593041,0.06778031,0.06135122,0.05710246,0.054442804,0.05232708,0.049879238,0.046793092,0.04331593,0.040024746,0.037488643,0.035888687,0.034926992,0.034033816,0.0328189,0.03128516,0.029681848,0.028211584,0.026903117,0.025762206,0.024879819,0.024382083,0.024292065,0.024468025,0.024691494,0.024704399,0.024354862,0.023625994,0.022742756,0.02199235,0.021631537,0.021731116,0.022210456,0.022827016,0.023229355,0.023135873,0.022529237,0.02176849,0.021340663,0.02154789,0.022303065,0.023268178,0.024185902,0.025107672,0.026549628,0.029509252,0.03550895,0.046165075,0.062021513,0.0812914,0.09970099,0.11251292,0.11704562,0.11397042,0.106180094,0.096924245,0.08863398,0.082684815,0.07947838,0.07829765,0.07771971,0.076241285,0.07321475,0.06882929,0.06380368,0.058578182,0.053280443,0.04785089,0.042488914,0.037557006,0.033356678,0.02992577,0.027129287,0.02484486,0.02302236,0.021661222,0.020797394,0.020468725,0.020660216,0.021182567,0.021710852,0.021925725,0.021686194,0.02110037,0.02043009,0.019973293,0.019890288,0.020106973,0.020357298,0.020327525,0.019929776,0.019252839,0.018506663,0.017720954,0.016905278,0.016096024,0.015571047,0.015527542,0.015914468,0.016286751,0.016208822,0.015581254,0.014776,0.014286101,0.014350694,0.015290923,0.01825075,0.025898198,0.04064405,0.062390964,0.08642754,0.10596485,0.11549603,0.114270866,0.105403535,0.09381472,0.083497696,0.07648459,0.072745174,0.07106942,0.0700931,0.068993814,0.06743127,0.06525654,0.06227504,0.05824713,0.053057227,0.046818387,0.04012726,0.03384937,0.028845029,0.025438653,0.023367306,0.021995122,0.020750945,0.019428397,0.018155023,0.01719105,0.016669445,0.016578915,0.016828254,0.017324219,0.017917618,0.018380621,0.018406838,0.017770916,0.01645849,0.014783878,0.013208031,0.012058879,0.011336823,0.010852006,0.010497115,0.010324988,0.010403409,0.010649075,0.010854068,0.01086637,0.010705312,0.010555867,0.01058279,0.010854139,0.011450331,0.012862808,0.016019503,0.022105992,0.031769212,0.04514131,0.061165426,0.07796681,0.09229877,0.10141534,0.103883795,0.100946814,0.09481734,0.087642916,0.08029168,0.07310852,0.06621709,0.059896305,0.0542464,0.049331117,0.045190293,0.041976765,0.03969312,0.038144197,0.0369978,0.03605153,0.03523205,0.0344729,0.033558372,0.032256316,0.030509548,0.028589541,0.026997251,0.026218772,0.02646078,0.027507452,0.028837755,0.029872105,0.030249508,0.029928437,0.02913077,0.028172426,0.02727934,0.026470484,0.025594207,0.024460597,0.02305288,0.021554753,0.020314908,0.019599607,0.01951865,0.020012656,0.021209149,0.023575751,0.027825171,0.034102872,0.04152995,0.048357084,0.053225994,0.056074332,0.05825421,0.061565112,0.067210086,0.07519182,0.084326744,0.092838556,0.09909216,0.10231488,0.10279149,0.10159246,0.100003,0.098951615,0.09901068,0.100322455,0.10287822,0.10616466,0.10951518,0.112047546,0.11324646,0.11274314,0.11065375,0.10719302,0.10280981,0.097686134,0.09213097,0.08642942,0.081097364,0.07630285,0.072076105,0.06832548,0.065333,0.06354237,0.06329823,0.0644831,0.066506766,0.06891641,0.07146147,0.074170776,0.07637387,0.07732325,0.076477766,0.074804984,0.07384499,0.07500002,0.07797774,0.08134154,0.08363659,0.0847925,0.085871376,0.08737886,0.08870896,0.08834618,0.08596137,0.08221099,0.07889531,0.07711524,0.07734221,0.07887706,0.080704734,0.08190879,0.08228639,0.08293446,0.08561262,0.09186721,0.101121075,0.11131088,0.11992868,0.12611826,0.13005783,0.13220221,0.13204962,0.12868288,0.12157023,0.11141186,0.10023436,0.09050042,0.084061585,0.08106414,0.08021312,0.07962331,0.078258246,0.076136254,0.0739227,0.07192143,0.0702379,0.06883238,0.068002135,0.06762194,0.06732651,0.06627332,0.064118095,0.0609749,0.057576623,0.05464572,0.052733492,0.052321155,0.053657085,0.056599155,0.06013445,0.06316342,0.06493486,0.06545467,0.06489702,0.06358046,0.062085178,0.06117745,0.06145109,0.0628042,0.064626284,0.06585052,0.06562266,0.06361776,0.060519636,0.057451513,0.05561262,0.055481732,0.056931447,0.05882995,0.059895407,0.059125483,0.05699904,0.055103928,0.055490505,0.059388235,0.06667522,0.076369435,0.086733304,0.096158184,0.102819085,0.106339596,0.10737065,0.10786495,0.10876548,0.10964802,0.108640105,0.10397912,0.095330894,0.08402749,0.07286108,0.064451024,0.060571905,0.06100844,0.06407692,0.067240976,0.06881872,0.068658166,0.06772485,0.06683125,0.065998726,0.06496659,0.06375148,0.0628108,0.06245603,0.0627112,0.06320418,0.06382083,0.06469482,0.06626313,0.06846753,0.07077033,0.072202705,0.07212826,0.070407055,0.06758966,0.06440178,0.06151749,0.059513737,0.059226964,0.061581794,0.06655401,0.07269438,0.077589,0.07957858,0.07827402,0.07444697,0.06908038,0.06333509,0.058494423,0.05574085,0.055740546,0.05818918,0.06252536,0.0681001,0.07487015,0.082612805,0.09103984,0.099387996,0.107027404,0.11344156,0.118203185,0.12058756,0.11964503,0.11493104,0.10713602,0.09791579,0.08887956,0.08102917,0.0749396,0.07116414,0.069813184,0.070213415,0.07089808,0.070801176,0.06961632,0.068018146,0.0663865,0.06472475,0.062442694,0.05960087,0.05669729,0.054582488,0.053473976,0.05328973,0.054459494,0.058770835,0.069382556,0.0877656,0.11330835,0.14240286,0.1735328,0.20195,0.22097003,0.21839555,0.19209021,0.15137736,0.118533164,0.11103601,0.13248776,0.1685401,0.19560641,0.19783331,0.17547436,0.1454819,0.1261263,0.12920894,0.15397172,0.19252656,0.23249751,0.26459193,0.28210005,0.28303036,0.26849246,0.24695045,0.23172753,0.23605831,0.26729912,0.32124266,0.38333634,0.42938063,0.44350323,0.42571035,0.39694443,0.3790939,0.38443723,0.40623546,0.4306259,0.44640365,0.4552593,0.46244243,0.46689108,0.45822334,0.4299414,0.38834754,0.3474934,0.31818056,0.30184326,0.29630002,0.29929042,0.3114301,0.33009088,0.34868357,0.3566896,0.3492657,0.330477,0.3132473,0.31116816,0.32957795,0.35908282,0.37756157,0.3664508,0.32555372,0.27558053,0.24091536,0.23389375,0.24890184,0.2736274,0.29977608,0.3293134,0.36312,0.39319208,0.40352747,0.3877891,0.35649052,0.32882836,0.3167902,0.31990895,0.33297986,0.35170224,0.3738364,0.39320555,0.40130034,0.3912059,0.3660017,0.33748254,0.32126236,0.32815436,0.3581501,0.3984213,0.42693892,0.4274085,0.39983332,0.3627833,0.338347,0.3391408,0.36030087,0.38815627,0.41105297,0.43019962,0.44857514,0.46183345,0.45290634,0.41322324,0.35105586,0.28947052,0.24514438,0.22189976,0.21560752,0.22398858,0.2492706,0.28733075,0.32586738,0.34596023,0.34193942,0.32372153,0.3137325,0.32808033,0.36606887,0.4096748,0.432254,0.42083248,0.38224864,0.3423916,0.3218945,0.32858455,0.35243383,0.38101235,0.40525267,0.42837608,0.4531504,0.4750847,0.4775777,0.45051765,0.40172485,0.35546625,0.33469963,0.3441305,0.37147573,0.39558688,0.40600142,0.4016759,0.38936734,0.3689673,0.34020412,0.30587378,0.27942273,0.27660432,0.3041571,0.35029688,0.38773718,0.39421567,0.36839464,0.33175758,0.30800235,0.30852434,0.32650128,0.34931603,0.367322,0.38290694,0.4001466,0.41687533,0.4196171,0.3995663,0.36209694,0.3243597,0.29975545,0.29028726,0.29194924,0.3015919,0.32002237,0.34390792,0.36513892,0.37183225,0.36095974,0.33943057,0.32338044,0.3268958,0.35511294,0.3968422,0.42889452,0.43060616,0.40081573,0.35921964,0.3308364,0.3286045,0.34680232,0.37132752,0.3907752,0.40700626,0.42374134,0.43951622,0.44099426,0.42188644,0.38819787,0.35665536,0.336998,0.32854843,0.326377,0.32802197,0.33606598,0.34745312,0.35440767,0.34362563,0.31381872,0.27500042,0.24822263,0.24842782,0.28013232,0.33085263,0.3779337,0.39897266,0.388327,0.36052743,0.3385068,0.3373188,0.35468626,0.3802359,0.40326765,0.42422006,0.4420507,0.45247218,0.44182885,0.40813556,0.3612702,0.32112896,0.29726017,0.28879127,0.28944424,0.29719523,0.3137113,0.33658704,0.35741508,0.3639382,0.35239902,0.32918358,0.30992833,0.30838284,0.3304905,0.36706296,0.39799425,0.40339327,0.3799055,0.3424063,0.31256673,0.3035306,0.31209257,0.327551,0.3398962,0.35293475,0.37038973,0.38937104,0.3911297,0.36484015,0.31808287,0.27696887,0.26358783,0.28064457,0.31397742,0.34225807,0.35536757,0.35296133,0.34452155,0.33455864,0.32621315,0.31992516,0.32144043,0.33727875,0.37155935,0.41636333,0.45238963,0.45939252,0.43313178,0.39040136,0.35615623,0.34794983,0.3639343,0.39226928,0.41798186,0.43910253,0.45479488,0.46247992,0.44796982,0.4063827,0.3460984,0.28877172,0.24892992,0.22956099,0.22489113,0.22902413,0.2396307,0.2533924,0.26553026,0.26770785,0.25850937,0.24394219,0.23864436,0.25407937,0.2934684,0.34521857,0.38871965,0.4050474,0.39185628,0.36358842,0.34062132,0.33534542,0.34658483,0.36664024,0.38629636,0.4059267,0.42450643,0.4398497,0.43871424,0.417533,0.38169178,0.348042,0.32489097,0.31312156,0.30927482,0.3137124,0.32878622,0.35022876,0.36766955,0.36748087,0.34834132,0.31994376,0.30033466,0.30163524,0.32753876,0.36939672,0.408771,0.4249597,0.4082714,0.36900285,0.32872733,0.30709913,0.30569917,0.31597188,0.3248928,0.3351785,0.35010257,0.37049162,0.37843668,0.36362907,0.32778955,0.2903224,0.26442167,0.2536506,0.2541813,0.26387236,0.2839838,0.3113698,0.33908036,0.35450974,0.35335195,0.33881918,0.325547,0.325663,0.3462161,0.3790424,0.40741265,0.41236782,0.39016008,0.35313165,0.32259893,0.31275287,0.3226349,0.3420012,0.35978556,0.37836388,0.40244183,0.43206832,0.4493769,0.43930468,0.402673,0.36352444,0.3494592,0.3700585,0.411466,0.4438603,0.45031342,0.4306552,0.40225592,0.37272012,0.344179,0.31328943,0.28996468,0.2869762,0.315433,0.36543596,0.41302118,0.4288267,0.40635493,0.3615696,0.32406545,0.31167433,0.32389358,0.3486317,0.37308803,0.39785144,0.42480218,0.45340684,0.46610406,0.45112363,0.40871182,0.3588268,0.3187958,0.2961482,0.28760538,0.2894266,0.30216685,0.32420793,0.349044,0.3621081,0.35596058,0.3337294,0.31384942,0.31442177,0.34586906,0.3973659,0.4436418,0.45596763,0.42727742,0.37406996,0.32681763,0.30612314,0.31388637,0.33875155,0.3671076,0.39757863,0.43089616,0.46462938,0.480469,0.46519375,0.41989705,0.3648232,0.31903628,0.28991926,0.2745986,0.26828,0.27166995,0.28274956,0.29630196,0.2992451,0.2880902,0.26827565,0.2574261,0.26695362,0.30163166,0.352146,0.40143308,0.42807925,0.42170903,0.3892628,0.34992996,0.32052192,0.30623534,0.30334637,0.30436853,0.30418563,0.30030513,0.293936,0.2872149,0.28227264,0.2797655,0.27907303,0.27895686,0.27780598,0.27482924,0.269562,0.26305827,0.2569065,0.25363907,0.25441536,0.25919867,0.26554283,0.27056262,0.27104858,0.2659247,0.25572303,0.24282886,0.22957613,0.21764286,0.20768988,0.19952504,0.19366287,0.1908669,0.19243872,0.19792946,0.2067048,0.21755499,0.23005424,0.24268878,0.25403377,0.26307735,0.27028415,0.27668366,0.28253472,0.28733015,0.28966728,0.28976607,0.28879783,0.28906885,0.29087535,0.29386273,0.29668757,0.2987608,0.2985774,0.2957904,0.29149845,0.28856382,0.28738952,0.28460312,0.27526847,0.25815353,0.23759152,0.22046505,0.21138634,0.21035214,0.21357763,0.21676473,0.21716432,0.21496241,0.21162562,0.20893085,0.2076426,0.20776707,0.20851775,0.20877604,0.20820528,0.20784767,0.20952345,0.21413575,0.22035025,0.22549438,0.22677906,0.22343904,0.21679793,0.20931976,0.2030809,0.19841783,0.19538695,0.1930744,0.1913218,0.18912625,0.18668915,0.18364955,0.1799183,0.17437579,0.1667916,0.15807211,0.15051435,0.14605244,0.14505826,0.14621536,0.14760117,0.14812012,0.14767577,0.14698523,0.14670883,0.14733523,0.1487217,0.15051611,0.15235335,0.15432566,0.1563905,0.15843363,0.16044132,0.16373129,0.17004238,0.1806811,0.19439586,0.208596,0.21980439,0.2262782,0.22784944,0.22668667,0.22509082,0.22458047,0.22502255,0.22595821,0.2273439,0.22923397,0.23131491,0.23265332,0.23302896,0.23299521,0.23402123,0.23639737,0.23898095,0.23961823,0.2378468,0.23494232,0.23275828,0.23165703,0.23109479,0.23051862,0.22982936,0.22910564,0.22811331,0.22688814,0.225312,0.22417046,0.22404309,0.2254141,0.22723193,0.22847722,0.22850741,0.22788186,0.2270472,0.2260917,0.22460504,0.22221951,0.21925615,0.21637137,0.2144476,0.2133721,0.21300428,0.21285097,0.21297579,0.21292041,0.21271372,0.21210204,0.2108803,0.20774288,0.20223565,0.19571681,0.1926788,0.19721538,0.21061493,0.22845583,0.24430852,0.25228807,0.25130907,0.24343581,0.23336637,0.22552224,0.2229623,0.22568733,0.23095196,0.23531508,0.23687692,0.23604955,0.23443599,0.23280609,0.23080812,0.22729336,0.2224468,0.21746342,0.21431102,0.21389945,0.2164421,0.2211712,0.22683477,0.23162691,0.233791,0.23249745,0.22794102,0.22196563,0.2168657,0.21476774,0.21576984,0.2185896,0.2213818,0.22289,0.22237074,0.2193956,0.21429045,0.20824473,0.20294602,0.19940291,0.1975094,0.19630283,0.19516063,0.19397251,0.19308542,0.1923681,0.19167344,0.19091366,0.19031902,0.18987723,0.18930627,0.18834622,0.1870991,0.18579185,0.18441887,0.18245147,0.1796666,0.17695093,0.17654963,0.18047537,0.18864155,0.19829208,0.20562685,0.20811726,0.20577359,0.20033081,0.19367783,0.18678541,0.18036675,0.1755826,0.1740854,0.1763963,0.18137662,0.1864082,0.1895019,0.18981208,0.18817325,0.1858636,0.1844851,0.18503837,0.18781859,0.19208251,0.1967117,0.20105,0.20538495,0.21201922,0.22463775,0.2473665,0.27825746,0.31121856,0.33870175,0.36312175,0.38813567,0.41321158,0.42604843,0.4173355,0.3895367,0.35808906,0.34274137,0.35242954,0.379576,0.3974501,0.38311508,0.3343476,0.27751115,0.24607652,0.2594845,0.30984402,0.36992517,0.4098424,0.4152451,0.39226004,0.35803342,0.33009887,0.31490335,0.3132176,0.3196225,0.33870646,0.37367627,0.42543054,0.4748644,0.5045524,0.506187,0.49218038,0.47524104,0.460821,0.44660655,0.4328538,0.42733753,0.43498424,0.4494902,0.45053843,0.42069268,0.36211762,0.2976157,0.25577137,0.2484842,0.26955828,0.30082062,0.33007014,0.35110334,0.36413035,0.3677144,0.3643627,0.3593377,0.36187312,0.37669942,0.4043329,0.43737304,0.46517158,0.4736023,0.45805705,0.42454526,0.3899494,0.3665708,0.35667443,0.3544855,0.35538265,0.36474887,0.38774624,0.42020106,0.43839505,0.4199004,0.361743,0.28950644,0.23585238,0.21747631,0.22876291,0.25285766,0.27878937,0.30124086,0.3180786,0.3236684,0.31781283,0.30606234,0.3009418,0.31105712,0.341225,0.38524747,0.42878115,0.44865504,0.43154064,0.3816137,0.32279846,0.28025725,0.26684293,0.27985442,0.3078903,0.34535006,0.3887745,0.43281493,0.45775,0.44511083,0.39252424,0.32317045,0.2687479,0.24764903,0.2582114,0.28557932,0.3170463,0.34399268,0.36207947,0.3672866,0.3614277,0.3518878,0.35049853,0.3636582,0.39210287,0.42610133,0.45273027,0.4559426,0.43195176,0.38918152,0.34773517,0.3229942,0.3183891,0.32702374,0.34030664,0.3590878,0.38591984,0.4165552,0.42907277,0.4023478,0.3345921,0.25465235,0.20233111,0.2039383,0.2539887,0.32178795,0.37105468,0.38390312,0.3657399,0.33491695,0.3069641,0.28892976,0.28367284,0.29247543,0.31860462,0.35998738,0.40735337,0.44061124,0.4452798,0.42192563,0.38932502,0.36654207,0.36115956,0.36868116,0.3832759,0.40590104,0.43839684,0.47263905,0.4869041,0.46117938,0.39869764,0.32646927,0.27682647,0.26102754,0.27001026,0.2870325,0.30492142,0.32297,0.34004524,0.34944138,0.34671858,0.33459058,0.32448807,0.32745948,0.35100758,0.3909414,0.43317986,0.45531926,0.4439396,0.4034733,0.35517076,0.31982303,0.3038281,0.29999927,0.29872236,0.3010291,0.31511113,0.34158197,0.36289847,0.3533663,0.30564478,0.23868893,0.1854393,0.16448013,0.17411207,0.19945858,0.22889638,0.25682902,0.28038266,0.29544497,0.29953143,0.2956278,0.2924007,0.2991435,0.32353958,0.36527786,0.4147394,0.4508002,0.45677778,0.43109718,0.3922007,0.36198637,0.3515933,0.3570479,0.36949524,0.3862914,0.41127107,0.4412321,0.45984092,0.44383517,0.39008522,0.31937432,0.26725152,0.25203344,0.27013347,0.3016784,0.33123624,0.35084295,0.3578389,0.34887,0.32377866,0.28975126,0.2624453,0.25762525,0.28436878,0.33596897,0.39329648,0.42919478,0.42880997,0.39580074,0.35304037,0.3224139,0.31363294,0.3206708,0.33367035,0.34959674,0.37368807,0.406055,0.4321731,0.4275433,0.38302207,0.315546,0.26038334,0.24190526,0.26021641,0.29584828,0.32822347,0.34764954,0.3530458,0.3469752,0.3317721,0.31233004,0.29574725,0.28946975,0.3008692,0.33227265,0.3771764,0.41590378,0.4300282,0.41590205,0.39015916,0.37327695,0.37309265,0.38186145,0.38843942,0.39280346,0.40441176,0.42745912,0.44796133,0.44179592,0.39989075,0.340227,0.29681727,0.2902117,0.31650797,0.3545371,0.3861574,0.4037436,0.4075282,0.39993832,0.38513008,0.3708401,0.3655767,0.37464473,0.3982588,0.43103525,0.46118546,0.47209585,0.45269004,0.4081713,0.35867918,0.32546708,0.31577381,0.3225927,0.33525944,0.35154057,0.37700805,0.4100521,0.43347645,0.42191896,0.3689692,0.29463145,0.23339318,0.20485198,0.20648889,0.22245325,0.24101348,0.2584553,0.27259514,0.2779412,0.2684094,0.24674278,0.22551616,0.22237138,0.25001535,0.309266,0.3848356,0.44926575,0.4784136,0.4666191,0.4302092,0.3934133,0.37401107,0.37649563,0.39706442,0.4285489,0.46539035,0.4982032,0.5142563,0.4970659,0.4447019,0.37158838,0.30736944,0.27170065,0.2686797,0.28598592,0.31122604,0.33584747,0.354939,0.36429247,0.36266348,0.35666683,0.3574822,0.3749187,0.4093435,0.45097175,0.48218772,0.48655602,0.4590348,0.41121495,0.3638052,0.33299565,0.3217914,0.32147956,0.322495,0.32216617,0.32894266,0.34649634,0.36542618,0.3610154,0.32123598,0.25944808,0.212789,0.21335435,0.26608843,0.34623417,0.41352892,0.44236386,0.4296441,0.39504978,0.3566079,0.32683444,0.30905804,0.30803382,0.32727468,0.36583534,0.41143784,0.44347882,0.44608042,0.42050168,0.38517976,0.36115798,0.35990867,0.3804898,0.4168423,0.46127272,0.5065207,0.54022676,0.54743874,0.51488566,0.4457663,0.36155352,0.29381886,0.2632877,0.27009484,0.2986657,0.33143854,0.35860226,0.37494874,0.37840274,0.3680761,0.35080597,0.33690572,0.33698073,0.35454938,0.385819,0.41842535,0.43486094,0.42237365,0.38296738,0.33466312,0.29790708,0.28355524,0.2867312,0.29715136,0.30690482,0.3192031,0.33634183,0.35259867,0.3499547,0.31814477,0.26607126,0.21970417,0.2006234,0.21196024,0.24180679,0.2750611,0.30463913,0.32645538,0.33891952,0.33787754,0.32684815,0.3132619,0.3107798,0.32837436,0.3692229,0.42244658,0.46797076,0.48621824,0.47497025,0.4502542,0.4328957,0.43184733,0.44034204,0.44926563,0.4563583,0.46964535,0.48917708,0.50170994,0.48268571,0.42352057,0.3403498,0.26820013,0.23288037,0.237541,0.26626238,0.30055568,0.3310234,0.35360587,0.36643663,0.36556566,0.35400477,0.33928153,0.33431637,0.34721687,0.38012937,0.4216553,0.45247504,0.45441544,0.4271423,0.38708296,0.35546497,0.34267446,0.34433833,0.35129032,0.35723063,0.36742768,0.3842757,0.40178898,0.39841416,0.36145806,0.2973453,0.23361695,0.19467215,0.18741821,0.20203042,0.2236221,0.24584699,0.26604953,0.28506637,0.29863992,0.30747104,0.31331894,0.32357895,0.3430135,0.37486854,0.41169444,0.43713817,0.43205643,0.3929905,0.33343753,0.27531782,0.23114853,0.20253162,0.1836826,0.16885199,0.15440416,0.13919435,0.12410542,0.110278524,0.098802574,0.09007087,0.08383366,0.07925397,0.07519814,0.07122324,0.06715355,0.06393135,0.062392157,0.063741244,0.06793213,0.0753197,0.0850072,0.09540076,0.10290268,0.10575382,0.10425013,0.100816764,0.096425034,0.09123001,0.08527992,0.07984421,0.07706145,0.07838284,0.08410833,0.09209486,0.100853704,0.10931468,0.11837468,0.12800209,0.1392389,0.15308301,0.17060035,0.1913095,0.21357541,0.237071,0.2612151,0.2871311,0.31144753,0.33021995,0.3358866,0.32926255,0.31682658,0.3128585,0.327856,0.36452353,0.4119266,0.44736347,0.44988313,0.41322473,0.35467103,0.29958215,0.26953837,0.26626754,0.281154,0.2990315,0.3173508,0.33595228,0.35633004,0.36675608,0.3607358,0.33926758,0.3164915,0.3012965,0.2954831,0.2950796,0.29907897,0.30984497,0.3267186,0.34381413,0.35045382,0.34234634,0.32460248,0.31143084,0.31538904,0.33897352,0.37074724,0.39073002,0.38464296,0.3538604,0.31555602,0.28902683,0.28607506,0.30330196,0.3305358,0.35501572,0.376896,0.3984976,0.42030632,0.4265488,0.40511402,0.35842124,0.31117067,0.29078898,0.30880773,0.35338697,0.39702523,0.4189589,0.4138805,0.39318457,0.36655703,0.34120455,0.31960282,0.3096142,0.31724417,0.34545216,0.3850958,0.41916236,0.42916706,0.41001284,0.37382293,0.34118116,0.32683027,0.329497,0.34072694,0.351959,0.36728847,0.38876045,0.4106625,0.41100097,0.37607977,0.3124356,0.24882537,0.21110474,0.20653005,0.22424088,0.24926008,0.2746661,0.2971696,0.31454018,0.3199056,0.31389606,0.30227613,0.29861355,0.31074807,0.3414761,0.38062194,0.4112552,0.41463563,0.38689002,0.34094098,0.29894277,0.27671573,0.27434337,0.28378236,0.295221,0.3128128,0.33842003,0.36711693,0.37319687,0.34118176,0.27682698,0.21268849,0.17558368,0.1722046,0.1900277,0.21487357,0.24213572,0.26978144,0.29560047,0.31058586,0.3130629,0.3057579,0.30139038,0.30938995,0.3373125,0.37925735,0.4193084,0.4350889,0.41769674,0.3776301,0.3386836,0.31930435,0.32065657,0.33375826,0.34832966,0.36785674,0.39310563,0.4178747,0.41726056,0.3787419,0.3105404,0.24625522,0.21225278,0.21444438,0.23792069,0.26488164,0.2872182,0.30192006,0.30794987,0.29902938,0.27627534,0.24602671,0.22434723,0.22354029,0.25173903,0.3013433,0.35244533,0.37885615,0.36969933,0.33627346,0.30350316,0.29029915,0.2972497,0.31551775,0.33542874,0.36157832,0.39581951,0.43198442,0.44317076,0.41244555,0.34575728,0.27846536,0.24385689,0.25234377,0.28824857,0.32595217,0.35097733,0.35957727,0.35742298,0.34568122,0.32914856,0.3113146,0.30159315,0.3046352,0.32529762,0.35788038,0.38922444,0.39806196,0.37506422,0.32923317,0.28466308,0.26149234,0.262477,0.27860537,0.2975993,0.3224849,0.3561281,0.3952868,0.41323447,0.39036405,0.32871664,0.26173952,0.22220902,0.22176613,0.2482091,0.28189936,0.31219527,0.33384156,0.34608662,0.34497416,0.33385876,0.3185138,0.3105466,0.31604016,0.3390967,0.37239888,0.40233585,0.4098765,0.38979027,0.35212088,0.3184633,0.3033363,0.3064971,0.3181827,0.32875553,0.3418114,0.36152065,0.3855165,0.39288244,0.36817852,0.31421226,0.25832516,0.22711478,0.23003156,0.25622728,0.28802347,0.31372556,0.32704425,0.3258347,0.30705607,0.27571684,0.24169578,0.22090967,0.22284247,0.25214043,0.29980078,0.34835315,0.3739636,0.3675325,0.3386372,0.31083846,0.30073082,0.30824912,0.3239957,0.33915398,0.35964623,0.38958552,0.4251926,0.44051847,0.41678885,0.35525534,0.28646842,0.24026245,0.22836286,0.24074073,0.26219407,0.2854184,0.30728248,0.32456377,0.32853714,0.31722894,0.29552528,0.27829084,0.27750316,0.301672,0.34495357,0.39088544,0.4148834,0.40548828,0.37024736,0.33221683,0.31019494,0.3068975,0.31421602,0.32253066,0.33602092,0.35823968,0.38493952,0.39104143,0.35836497,0.29216373,0.22871868,0.20678955,0.24207528,0.31735805,0.39521882,0.4435285,0.4501053,0.42610538,0.3890001,0.35447168,0.32782272,0.31352744,0.31340072,0.33298314,0.36809263,0.40636024,0.42493215,0.41336498,0.37811056,0.3419083,0.32230666,0.32170257,0.3310593,0.3409766,0.3560698,0.3814007,0.41394368,0.42862782,0.40513685,0.34378085,0.27457792,0.22954439,0.22242302,0.24367134,0.27475154,0.30398253,0.32579744,0.33927807,0.3402553,0.33091363,0.31586578,0.30612153,0.3073745,0.32500544,0.35422817,0.38306513,0.38952518,0.36274853,0.31072968,0.2598625,0.23275048,0.23341608,0.25048313,0.26935652,0.290806,0.31971702,0.35564533,0.37614653,0.3604728,0.30733427,0.24464405,0.20394386,0.1987924,0.22117846,0.25450963,0.28831974,0.3157855,0.3355378,0.34744093,0.36247054,0.38851368,0.42308167,0.44144273,0.4207184,0.35952613,0.28552392,0.23193006,0.21328758,0.2204671,0.2323827,0.2331276,0.21879923,0.19795434,0.18424954,0.18789752,0.2079447,0.23310296,0.24778958,0.24266134,0.21936963,0.19024044,0.1695271,0.16421334,0.17001623,0.17560388,0.17204595,0.15852378,0.14287822,0.13555144,0.14355074,0.16541521,0.1922573,0.21165808,0.21554439,0.20526327,0.19202626,0.18974411,0.20515555,0.23283155,0.2581558,0.26670796,0.25371993,0.22746573,0.20494346,0.20007329,0.21461265,0.23717777,0.252139,0.25008288,0.23334341,0.21344876,0.20367454,0.20974775,0.22671533,0.24181552,0.24374652,0.22982323,0.20832396,0.19320118,0.19533432,0.21455534,0.24081624,0.26083708,0.26935992,0.27005026,0.27153143,0.27691445,0.2824072,0.28108886,0.27027512,0.25343153,0.2371971,0.22761719,0.2269239,0.23293282,0.23962025,0.24094772,0.2344377,0.22260256,0.21070038,0.20318393,0.20147526,0.20346193,0.20572211,0.20563014,0.20362778,0.20172226,0.20237733,0.20586564,0.21124996,0.21603926,0.21858484,0.21804239,0.21517552,0.2109148,0.20584576,0.20070134,0.19604574,0.19271235,0.18991251,0.18685968,0.18224378,0.1762414,0.16927372,0.16271135,0.15750618,0.15411831,0.15205963,0.15048712,0.14907588,0.1480409,0.14806633,0.14920269,0.15094917,0.1522003,0.1523406,0.15143086,0.15039726,0.15034652,0.15195651,0.15490286,0.15802908,0.160572,0.16329397,0.16843204,0.17785709,0.19123454,0.20593838,0.21829027,0.22579779,0.22788243,0.2265975,0.2246309,0.22411104,0.22484738,0.22594644,0.2265628,0.22690685,0.22708164,0.22703879,0.22665934,0.22624898,0.22655837,0.22763945,0.22892459,0.22908294,0.2282533,0.22725302,0.22733079,0.22812575,0.2291174,0.22994094,0.23082691,0.2315939,0.23163371,0.23077565,0.22924463,0.22819477,0.22835022,0.23024283,0.23294008,0.23544502,0.23668106,0.23642851,0.23465301,0.23176181,0.22823201,0.22445299,0.2205932,0.21698181,0.21421945,0.21260715,0.21209233,0.21208684,0.21231061,0.21218963,0.21188861,0.21128552,0.21029252,0.20753175,0.20215245,0.19521908,0.19080113,0.19364543,0.20516361,0.22154443,0.23537333,0.24110933,0.2378331,0.22915368,0.21967876,0.21328802,0.21200301,0.2158649,0.22272085,0.22956927,0.23421575,0.23639534,0.23682,0.23603447,0.23364826,0.22902967,0.22243007,0.21518277,0.20936765,0.20662199,0.20793259,0.2129562,0.22008969,0.22672199,0.23082437,0.23157792,0.22968894,0.22624741,0.22276096,0.22038622,0.21972753,0.22041194,0.22143978,0.221905,0.22112076,0.21895091,0.21568353,0.21199071,0.20844401,0.20525633,0.20232958,0.19962196,0.19722684,0.19527954,0.19374794,0.1923837,0.19128136,0.19051372,0.19024193,0.18992518,0.18929946,0.18836193,0.18755202,0.18670797,0.18506837,0.18184127,0.17750978,0.17415686,0.17474349,0.18098809,0.19205253,0.2046731,0.21515518,0.22111142,0.2220788,0.21895264,0.21316011,0.20614015,0.19915295,0.19340084,0.18993318,0.18936677,0.19129832,0.19455935,0.19763528,0.19965976,0.2003258,0.19994734,0.19898915,0.19808127,0.19789243,0.1987272,0.20050132,0.2025067,0.20428765,0.20597403,0.2088313,0.21466784,0.22415817,0.23537852,0.24325885,0.24305862,0.2343133,0.2236386,0.22138111,0.23354036,0.25539485,0.27317977,0.27581036,0.26357237,0.24615969,0.23134623,0.218593,0.20316528,0.18460292,0.16952044,0.16726786,0.18169881,0.20880115,0.23871131,0.26342967,0.27764663,0.27941287,0.2688139,0.25209296,0.2403266,0.24536449,0.27506933,0.32895142,0.39653072,0.45552507,0.4857162,0.48145923,0.45906606,0.44073275,0.4380386,0.44588912,0.454108,0.46100226,0.47256088,0.48903623,0.49590263,0.47295976,0.41794965,0.3524791,0.30978158,0.30582613,0.33398148,0.37239027,0.40445104,0.4223803,0.42596343,0.41649345,0.3983412,0.37889102,0.36711058,0.36942044,0.38855967,0.42028305,0.4527541,0.46758497,0.45329806,0.41366628,0.3684622,0.33736965,0.32789367,0.33271846,0.34137157,0.35143074,0.36915934,0.3954397,0.4158956,0.40704075,0.35996327,0.2906308,0.22997789,0.19854422,0.1960928,0.20902736,0.22550988,0.24182451,0.25565746,0.2621102,0.2549201,0.23718715,0.22215869,0.22884697,0.2691935,0.3404822,0.42171255,0.48286796,0.5020203,0.47987357,0.43740273,0.3993949,0.3796773,0.37852696,0.39067158,0.41177192,0.43843246,0.46132708,0.46517006,0.4365213,0.37890974,0.31248197,0.2641475,0.24817617,0.26238036,0.29243138,0.32432482,0.3501662,0.36660457,0.37351343,0.3728584,0.37229192,0.38011184,0.40062305,0.43011606,0.45872855,0.4738157,0.46296406,0.42252946,0.36210778,0.3030698,0.2647738,0.25475618,0.26545933,0.2852516,0.30750564,0.33646628,0.37217572,0.4024508,0.40241662,0.36228076,0.29872656,0.2513798,0.25204173,0.304649,0.38220885,0.4450624,0.46759936,0.4486289,0.40737367,0.36282408,0.32688728,0.30353943,0.29738352,0.3134422,0.35211107,0.40251043,0.44274402,0.45450282,0.435316,0.40230504,0.37570667,0.36695123,0.37294444,0.38826624,0.41070506,0.44407472,0.48165813,0.50487727,0.48829472,0.4292935,0.34973407,0.2850853,0.25265053,0.2485873,0.25850284,0.274176,0.295021,0.31767938,0.33453035,0.33601704,0.32379544,0.30879536,0.30795708,0.33113623,0.37631202,0.42696023,0.46028516,0.46095994,0.43180728,0.39136752,0.3592484,0.34454215,0.34381223,0.3515297,0.3666172,0.39519167,0.43383658,0.4652257,0.4600011,0.40892777,0.3296725,0.2611763,0.22800721,0.23126072,0.25305706,0.27781883,0.29964277,0.3170356,0.32799187,0.32764444,0.31780192,0.30523434,0.30205962,0.3167837,0.3522568,0.3993074,0.43920445,0.45417133,0.44174397,0.41737995,0.3999698,0.39779672,0.4042997,0.4116168,0.417788,0.42967296,0.44608596,0.45404872,0.43190384,0.37501743,0.30236885,0.24828102,0.23388587,0.25669384,0.29654145,0.33452907,0.36177444,0.3764617,0.37842238,0.36763874,0.3500307,0.3364564,0.33881512,0.36232892,0.4026676,0.4468043,0.4762621,0.47769234,0.44979975,0.40703955,0.3679148,0.3458337,0.34051028,0.34657815,0.35912564,0.38202998,0.41346827,0.4407486,0.43823066,0.39451507,0.3223798,0.25563756,0.21999836,0.2189158,0.23670797,0.2556022,0.269165,0.27677417,0.27968928,0.2737504,0.26176625,0.2509799,0.25480697,0.27989766,0.32708576,0.3863151,0.44103336,0.47435752,0.48196933,0.47487864,0.4683952,0.46868435,0.46868286,0.4608462,0.4463444,0.43867183,0.44576386,0.4601821,0.45757762,0.42216364,0.36152792,0.30552205,0.2804534,0.2919679,0.32589856,0.3631736,0.3926622,0.4095721,0.4145991,0.40869904,0.39930275,0.3936595,0.40002057,0.4190904,0.44779775,0.47430456,0.48397508,0.4650741,0.42074943,0.36787835,0.32584432,0.3049314,0.30064097,0.30493537,0.31157693,0.3268071,0.35206565,0.37878966,0.38132024,0.34572867,0.28185555,0.22281468,0.19555451,0.2041897,0.23377614,0.26605633,0.29403028,0.31512907,0.3293259,0.33108053,0.3218999,0.30796766,0.30398324,0.320813,0.36277214,0.41959742,0.4704806,0.49394655,0.48286083,0.44831634,0.41007838,0.38427377,0.37580636,0.38417128,0.40527073,0.43887618,0.47582892,0.5010496,0.49062788,0.43938828,0.36280695,0.29543614,0.26071548,0.26243162,0.2870532,0.31894168,0.34896672,0.3693023,0.37484708,0.36060858,0.33418834,0.30958283,0.3057666,0.3303444,0.37862778,0.43049636,0.46262822,0.45942155,0.42453572,0.37761542,0.34072086,0.32621953,0.33051053,0.34530497,0.36285484,0.38705122,0.41632867,0.44133708,0.43739906,0.39428172,0.32449448,0.26679772,0.25524175,0.2997266,0.37744018,0.44844046,0.48230168,0.4715564,0.43261346,0.38419446,0.34137425,0.30911776,0.29357186,0.2989873,0.3293759,0.37761208,0.42597175,0.45215508,0.44662166,0.41918096,0.39083418,0.37900057,0.38763595,0.41205618,0.44251177,0.47305414,0.49542925,0.50025266,0.47416034,0.41512707,0.33735612,0.26813424,0.22857718,0.22311366,0.24288161,0.27544233,0.31204045,0.34309712,0.36092487,0.35998797,0.34769785,0.33681083,0.34218585,0.366932,0.40666148,0.44724965,0.47434464,0.47652316,0.45572892,0.42446354,0.39830792,0.3852559,0.38168564,0.38079572,0.3776255,0.37870434,0.38831484,0.40304223,0.40278137,0.3728355,0.31636965,0.25830615,0.22290044,0.2179987,0.23450182,0.25919375,0.28589043,0.31115863,0.33156633,0.33904216,0.33273008,0.31745446,0.30716726,0.3126485,0.341054,0.3855234,0.42843738,0.44688177,0.43183222,0.39393103,0.3568568,0.339727,0.34602916,0.36774996,0.39202222,0.41480577,0.43301988,0.44372937,0.43352577,0.3968424,0.34160957,0.29333588,0.273107,0.28517106,0.31646135,0.3503299,0.3779734,0.39519325,0.40012157,0.38993356,0.37074092,0.3529389,0.3496019,0.36504933,0.39885846,0.4405781,0.47411934,0.48006296,0.45229152,0.4030675,0.35815254,0.34062457,0.3562002,0.39292073,0.4269807,0.44469067,0.44387412,0.43139625,0.4044206,0.35943392,0.302263,0.25638792,0.24579775,0.2751486,0.32807264,0.3796896,0.4206506,0.45080838,0.4758284,0.48868847,0.48890272,0.47633365,0.45783457,0.42572853,0.37493587,0.30622828,0.23718779,0.18290095,0.1497577,0.13242592,0.12376148,0.118818976,0.11658775,0.118449695,0.12578063,0.13766254,0.15020072,0.15940504,0.16368929,0.16452014,0.16354406,0.16091144,0.1552208,0.14544433,0.13214602,0.11781766,0.10634229,0.101272404,0.10402957,0.11278529,0.124030985,0.13453849,0.1430645,0.14948006,0.1540912,0.15649413,0.15613969,0.15251608,0.1459897,0.13757806,0.12865177,0.12043628,0.1138873,0.10978686,0.108452685,0.10985794,0.11339799,0.11835327,0.123684786,0.12831368,0.13109213,0.13123812,0.12899923,0.12558036,0.12278599,0.12132677,0.12036326,0.117376156,0.1106281,0.10112846,0.09347323,0.09205731,0.09704905,0.1033271,0.10558017,0.10289061,0.09901205,0.097438075,0.098537244,0.100117184,0.10069382,0.100475214,0.101186596,0.10471714,0.1125857,0.12472612,0.13909051,0.15196924,0.16006668,0.16237713,0.16067038,0.15765752,0.15456432,0.1501549,0.14226337,0.13047321,0.11753744,0.10819026,0.105888866,0.110699885,0.11960361,0.12946606,0.13854985,0.14647865,0.1523603,0.15470399,0.15185843,0.14366184,0.13210116,0.121517755,0.116546035,0.11910707,0.12675588,0.13401558,0.13631324,0.13228662,0.12456542,0.11726061,0.11382102,0.11422775,0.115687184,0.11448886,0.10957869,0.10300463,0.098646946,0.09922248,0.104769476,0.112858504,0.12027093,0.12538302,0.12905778,0.13405955,0.14265426,0.15440165,0.16586226,0.17198087,0.16948466,0.15842474,0.14266007,0.12701236,0.11535693,0.10897205,0.10769296,0.11037221,0.115909584,0.12277689,0.12971538,0.13548177,0.1392715,0.14064711,0.13990301,0.13793491,0.13525675,0.13161574,0.12613152,0.11861384,0.10981896,0.10125213,0.0941026,0.08918343,0.08717749,0.08949671,0.09730303,0.11048021,0.12605073,0.139804,0.14783765,0.14911868,0.14526767,0.13962956,0.135188,0.13281757,0.1319666,0.13156115,0.13261901,0.1370343,0.14630936,0.15821785,0.16765267,0.1693046,0.16186933,0.14866884,0.13509403,0.12493408,0.1189985,0.1159142,0.113842644,0.11130277,0.10767675,0.10309872,0.09832946,0.09406214,0.09076116,0.088621825,0.08820808,0.089938454,0.09386211,0.09857556,0.10198905,0.10220503,0.09945028,0.096351035,0.09654301,0.10250912,0.11384673,0.12793835,0.14104418,0.15041976,0.15509461,0.1561187,0.15533482,0.15414096,0.15264261,0.14957239,0.14293903,0.13174416,0.117667414,0.10536727,0.09961474,0.10242935,0.112117134,0.12534381,0.13903446,0.15066071,0.15832712,0.16064233,0.15722398,0.14864954,0.137257,0.12815888,0.12692061,0.13609219,0.15129375,0.16425979,0.16771482,0.16071858,0.14847703,0.13850862,0.13597725,0.14046963,0.14784427,0.15386075,0.15820472,0.16398488,0.17373276,0.18629812,0.19682622,0.20141001,0.19942613,0.19398306,0.18918794,0.18792088,0.19069465,0.19490011,0.19751881,0.1965335,0.19291927,0.18802446,0.18304455,0.1783969,0.17504603,0.1739185,0.1751241,0.17775162,0.18044554,0.18237962,0.18331315,0.18346106,0.18314816,0.18250066,0.18193693,0.18164147,0.18176381,0.18116814,0.1787473,0.17407714,0.16911988,0.16649872,0.16815098,0.17375457,0.18270518,0.19491462,0.21052897,0.22674818,0.23766877,0.237607,0.22579646,0.2072255,0.18871121,0.17508996,0.16740184,0.16422498,0.16258325,0.16003229,0.15602715,0.15303338,0.15473765,0.16313516,0.17657341,0.19032717,0.19986205,0.2029527,0.20043151,0.19428335,0.18650572,0.17854951,0.17141593,0.16583718,0.16203408,0.16021709,0.16002734,0.16056551,0.16029103,0.1585707,0.15648009,0.15632468,0.15974185,0.16658573,0.1756977,0.18566923,0.19544512,0.2037859,0.2104917,0.21609004,0.22171827,0.22723776,0.2319342,0.23494075,0.2361573,0.23588915,0.23482658,0.23400986,0.23402862,0.23490219,0.23541266,0.23451655,0.23124671,0.22661954,0.22218305,0.22015733,0.22121568,0.22574526,0.23298304,0.24146096,0.2481951,0.2504401,0.24717832,0.23998608,0.23232478,0.22754954,0.22736968,0.23043603,0.23390251,0.23482257,0.23237918,0.22736879,0.22214325,0.2186038,0.21777308,0.21881334,0.22065282,0.22220407,0.22342552,0.22470216,0.22684233,0.2301612,0.23384164,0.23681597,0.2380989,0.23767187,0.23517384,0.23099458,0.22612645,0.2224257,0.22057794,0.21934848,0.21675675,0.21175428,0.2056008,0.20000406,0.19642381,0.19493942,0.19580615,0.19887352,0.20365836,0.20849995,0.21201265,0.21364321,0.21401887,0.21405123,0.21416382,0.21437947,0.21390963,0.21241516,0.20936163,0.20511496,0.19998431,0.19509007,0.19156305,0.19061367,0.19321413,0.2000144,0.21053748,0.22234757,0.23157758,0.23491229,0.23148346,0.2232641,0.21459644,0.2100754,0.21249236,0.22028399,0.2288155,0.23305847,0.23153192,0.22615258,0.22092772,0.21839201,0.2192455,0.22161953,0.2235995,0.22378434,0.22275363,0.22185163,0.22207595,0.223006,0.22322293,0.22182918,0.2190866,0.21589655,0.21231802,0.20740789,0.1999178,0.1899725,0.1790237,0.16940038,0.1625396,0.15874404,0.15761201,0.1591131,0.16368079,0.17113294,0.18006931,0.18799265,0.19252177,0.19248275,0.18889737,0.18513368,0.1851465,0.19079383,0.2000484,0.20882607,0.21448348,0.21787405,0.22175978,0.22649215,0.22917682,0.22586668,0.21740288,0.20871216,0.20532,0.20735164,0.21071804,0.21062636,0.2057157,0.19794261,0.1910761,0.18838577,0.19091839,0.19629239,0.1999213,0.19787084,0.18998851,0.17973715,0.1718782,0.16919659,0.17187648,0.17810015,0.18532562,0.19082312,0.19239073,0.18996954,0.18577795,0.18356776,0.18534936,0.19082242,0.19739006,0.20286703,0.20535697,0.20368695,0.19681542,0.18585522,0.1739564,0.16509624,0.16075657,0.15954493,0.15868872,0.15689567,0.1547121,0.15331759,0.15259607,0.15112169,0.14747785,0.14173773,0.13519345,0.12893528,0.12284716,0.11618533,0.10916909,0.10335057,0.100800835,0.10205632,0.106214084,0.111483455,0.11703321,0.12251965,0.12787981,0.13225047,0.13440363,0.13322704,0.1288312,0.12297837,0.11845911,0.11747185,0.120289266,0.12497226,0.1285099,0.12805857,0.12222102,0.11158057,0.098527074,0.08623024,0.07669743,0.07005789,0.06472008,0.05940434,0.053844053,0.04899897,0.04576993,0.044599846,0.045201574,0.04694562,0.049051955,0.05084383,0.051884454,0.051997587,0.05120905,0.049714684,0.047874257,0.04623725,0.045508,0.0466122,0.05101477,0.06088261,0.07849854,0.10415102,0.13431263,0.16176361,0.17883146,0.18090619,0.16852212,0.14693369,0.12454986,0.10949447,0.10589922,0.1115172,0.120132506,0.12589361,0.1268137,0.12384195,0.118654214,0.1118153,0.10331186,0.09340068,0.08365384,0.076453865,0.07411995,0.0766173,0.08139982,0.084279425,0.08285194,0.07766973,0.071995385,0.06911104,0.07045167,0.07479256,0.07908335,0.08043935,0.07786762,0.07268921,0.067093395,0.062445093,0.058805645,0.055517524,0.052095924,0.048424166,0.044869512,0.042181924,0.04117847,0.042204816,0.04476967,0.04795215,0.05089726,0.05314647,0.054515284,0.054959726,0.05463605,0.053747427,0.052598387,0.0513933,0.05048145,0.05001219,0.05010344,0.051315736,0.055806126,0.067120306,0.087142326,0.11282698,0.13587694,0.14850374,0.1490448,0.14313924,0.1381091,0.13748933,0.13971846,0.14146101,0.14045806,0.13663968,0.13096827,0.12524268,0.12111178,0.119616784,0.119630665,0.11860164,0.11444038,0.10851716,0.10465938,0.10602028,0.11110277,0.11536616,0.11477509,0.10957358,0.1030184,0.09851845,0.096908994,0.096584804,0.09541158,0.092505954,0.08868456,0.08522368,0.08272139,0.08074769,0.07836916,0.07473519,0.0694992,0.06316806,0.05705064,0.052615818,0.050665125,0.050957188,0.052604273,0.054540664,0.055979773,0.056452733,0.0559751,0.05478944,0.053320114,0.051918164,0.051043805,0.05115262,0.052685235,0.055920675,0.061312925,0.06986933,0.08292837,0.1008468,0.12158667,0.14108865,0.15575306,0.16479643,0.170205,0.17419349,0.17756183,0.17974466,0.18040742,0.17922167,0.17536734,0.16701436,0.15337431,0.13621934,0.120567225,0.11163383,0.11180982,0.11858935,0.12702812,0.13297227,0.13518329,0.13424599,0.13070072,0.12454391,0.11593897,0.10640559,0.09861373,0.095237635,0.09748816,0.10471632,0.115296066,0.12750389,0.13982801,0.15062302,0.15821373,0.16142668,0.16017587,0.15552925,0.14899404,0.1416626,0.13360564,0.12443297,0.114082806,0.1034607,0.09388197,0.08641858,0.08139942,0.078651965,0.07760649,0.077575155,0.07782814,0.078099094,0.078384005,0.078926004,0.07978552,0.081385486,0.08450458,0.09047141,0.100347884,0.114707,0.13264243,0.15181096,0.1683867,0.17926282,0.18341267,0.18282217,0.18031688,0.17802627,0.17644727,0.17560865,0.17559153,0.1763799,0.17761439,0.17859118,0.17908643,0.17923953,0.17970984,0.1810645,0.18353243,0.18673742,0.18965437,0.19106007,0.1898645,0.18585795,0.18009786,0.17465444,0.17178996,0.17250311,0.17636861,0.18142056,0.18566392,0.1873049,0.1857725,0.18126094,0.17499918,0.16859795,0.1634379,0.16027851,0.15886085,0.15853913,0.15826757,0.15744406,0.15596825,0.15446536,0.15376064,0.15434366,0.15605398,0.15800928,0.1592098,0.15900625,0.15756744,0.15545909,0.15352333,0.15252076,0.15318668,0.15545495,0.15853612,0.16170627,0.16629256,0.17544569,0.19192,0.21426012,0.2371201,0.25372204,0.26069936,0.25859866,0.25165296,0.24450152,0.24070849,0.2407567,0.2431293,0.24550526,0.24678354,0.24667364,0.24586523,0.24476838,0.24364714,0.2416208,0.23783259,0.2321322,0.22601537,0.2217409,0.22080569,0.22284883,0.22561456,0.22700743,0.22611134,0.22386532,0.22135645,0.22001638,0.22044946,0.22277404,0.2254069,0.2268898,0.22637488,0.22458948,0.22221892,0.21979065,0.21736951,0.2152334,0.21393807,0.2138495,0.21497317,0.21634047,0.21745898,0.2180164,0.21853179,0.21880044,0.21891363,0.21870391,0.21835937,0.21754164,0.21621644,0.2144403,0.21215965,0.20836984,0.2021882,0.19453965,0.18917073,0.19052856,0.19999082,0.21416116,0.2269547,0.23488696,0.23846917,0.24079324,0.24304068,0.24423437,0.24267316,0.23808865,0.23184077,0.22517681,0.2191024,0.21396601,0.21077305,0.21011543,0.21180056,0.21440186,0.21680872,0.2188247,0.22083633,0.22255342,0.22298133,0.22143936,0.21810687,0.21447931,0.21183763,0.21102436,0.21124093,0.21151389,0.21100332,0.20976377,0.20794927,0.20580272,0.20369522,0.20220876,0.20159818,0.20125026,0.20026807,0.19811495,0.19576024,0.1944279,0.1949768,0.19662689,0.19814575,0.19865997,0.19818859,0.19726086,0.19621171,0.19521002,0.19420658,0.1932773,0.19250149,0.19182147,0.19057876,0.18782426,0.18274422,0.17592521,0.16968353,0.16779502,0.17343687,0.18688767,0.20457743,0.22080539,0.23138647,0.23609024,0.23822647,0.24115384,0.24591537,0.25088933,0.25449288,0.25564376,0.25377914,0.24753378,0.23652373,0.2224971,0.20970654,0.20258193,0.20326322,0.21042196,0.22010475,0.2282074,0.23235184,0.23235078,0.22908516,0.22359747,0.21675466,0.20940448,0.20254596,0.1975202,0.19624086,0.20082144,0.21243115,0.22942752,0.24656563,0.2568936,0.2561312,0.24633694,0.2359357,0.23516281,0.25001457,0.27634668,0.30210504,0.3143041,0.31074333,0.3001505,0.29569364,0.30392325,0.3201127,0.33427453,0.33731973,0.33297604,0.328333,0.33173457,0.33908418,0.3488213,0.35798326,0.37123474,0.38793015,0.41243973,0.44374147,0.4768151,0.49347365,0.48102427,0.4425639,0.40076673,0.37848803,0.38246855,0.4036361,0.42758825,0.4512663,0.47313735,0.48868787,0.47923383,0.43651584,0.37042573,0.31284553,0.28886044,0.3032484,0.33986902,0.37825587,0.4064875,0.4195806,0.4185692,0.4043616,0.3846859,0.36776224,0.3640778,0.3769549,0.40640685,0.44270787,0.47087383,0.4731169,0.44443372,0.3964826,0.35216317,0.3290093,0.3273892,0.33679426,0.34558192,0.35732925,0.37744725,0.40390602,0.41378236,0.38779,0.3277272,0.2624962,0.22228871,0.21689898,0.2350816,0.25913164,0.28105506,0.29728308,0.30575916,0.29881346,0.27728432,0.24968266,0.23593332,0.2508194,0.30040956,0.37095508,0.43677366,0.47033408,0.46286514,0.4269706,0.38697115,0.36160576,0.3555037,0.36482513,0.38308588,0.41259918,0.4527103,0.4949981,0.5124256,0.48465705,0.41379535,0.33214274,0.27535313,0.26022723,0.2791963,0.31313273,0.34734035,0.3723308,0.38510385,0.38411513,0.3773432,0.37479284,0.3873444,0.41404685,0.4499322,0.48364905,0.505364,0.5021146,0.46989286,0.41541484,0.35853052,0.31782886,0.29954496,0.29735383,0.3000034,0.30873808,0.32683036,0.35317588,0.36540926,0.3455156,0.29452547,0.24440955,0.23046422,0.26771948,0.3383101,0.40550527,0.43951645,0.43306625,0.40080193,0.36075297,0.32642546,0.30266306,0.2945471,0.3045369,0.33561635,0.38111869,0.42698595,0.45165348,0.44579932,0.41695106,0.38705495,0.372234,0.37439334,0.38702115,0.4050143,0.43364012,0.4722838,0.509649,0.5170036,0.47839507,0.40159157,0.32174447,0.2701241,0.2577155,0.27309158,0.2991763,0.3254329,0.34548113,0.35419604,0.34455013,0.31915438,0.28902313,0.27320635,0.2829899,0.3209834,0.3737153,0.421266,0.44146287,0.42866293,0.39352408,0.35775697,0.3359946,0.32897568,0.33024225,0.33446515,0.34974423,0.3817484,0.4255549,0.45179805,0.43520927,0.37359735,0.2982897,0.24543647,0.23181279,0.24855864,0.2763859,0.30274868,0.3224372,0.33423507,0.33447018,0.32448673,0.3097912,0.30205855,0.30893543,0.33540556,0.3754085,0.41645172,0.4394268,0.43726936,0.41681388,0.39698994,0.39014235,0.39623582,0.40781465,0.41968563,0.43692735,0.46214902,0.48775133,0.48940566,0.44938114,0.37294647,0.29198438,0.23939164,0.22736199,0.24501427,0.27402908,0.3039665,0.32970464,0.34730637,0.34918806,0.33618784,0.31709492,0.309302,0.32308552,0.3612012,0.41177312,0.456584,0.47347906,0.4543965,0.40907454,0.36234912,0.3349706,0.3304666,0.33930802,0.34914398,0.3621818,0.3819734,0.40756187,0.41770276,0.39612517,0.34215125,0.2819679,0.24323659,0.23874523,0.25904188,0.28522325,0.30513182,0.31427133,0.31379485,0.300868,0.27775025,0.2508538,0.23476996,0.2404088,0.27612555,0.33882293,0.41512677,0.4789029,0.5095615,0.5029881,0.47552225,0.44703457,0.42718068,0.41425124,0.4038467,0.40087113,0.4114646,0.43318233,0.4450802,0.4260527,0.37518588,0.31851482,0.28814363,0.29579663,0.32867458,0.3632237,0.38607523,0.39446542,0.3924854,0.3817542,0.36746392,0.35519552,0.35305417,0.36311138,0.387053,0.41980827,0.45251074,0.46807146,0.45713735,0.42297885,0.38348722,0.35479602,0.34106514,0.33611488,0.3328277,0.33666041,0.35431457,0.38282776,0.39651683,0.37117055,0.30472717,0.2259623,0.16875397,0.14897884,0.16003884,0.18660887,0.2188762,0.25143397,0.2800436,0.29718295,0.30119488,0.296751,0.29661822,0.3104644,0.34487692,0.39506936,0.448616,0.4844879,0.49045846,0.46745804,0.43215653,0.40171063,0.38703418,0.3904829,0.41004217,0.44486383,0.4899458,0.5326006,0.5488085,0.51961285,0.4479202,0.36161867,0.295966,0.2681477,0.2741626,0.29664305,0.3234822,0.34630433,0.3608401,0.36115503,0.34942403,0.33427867,0.33029047,0.34529212,0.37990406,0.4222883,0.45464423,0.4568059,0.42357275,0.3679692,0.31662464,0.28927973,0.28836486,0.30251032,0.31985065,0.3417467,0.37383032,0.41446555,0.44065318,0.42889413,0.37446895,0.30630746,0.2636797,0.27182016,0.3213426,0.38090578,0.41715357,0.4193915,0.39621267,0.3648428,0.3351834,0.3112118,0.2965146,0.2973771,0.3215587,0.36705032,0.419999,0.4555218,0.45918572,0.43519577,0.40499583,0.3864987,0.38449028,0.3934169,0.40718213,0.42588556,0.44920456,0.47023034,0.4718968,0.43945155,0.375114,0.30022585,0.24275798,0.21703587,0.22104931,0.24181767,0.26916248,0.2958021,0.31632376,0.3242021,0.31895658,0.30818617,0.30559173,0.32009116,0.35332558,0.39619136,0.43382537,0.4476131,0.4295942,0.388303,0.34631503,0.32328197,0.32276952,0.33490726,0.34660992,0.35638753,0.3695049,0.38902804,0.40213382,0.39053342,0.3471057,0.28813994,0.24126236,0.2240563,0.2342289,0.25667623,0.2800564,0.30007458,0.3161733,0.3239996,0.32091817,0.309208,0.2988603,0.29971805,0.31973565,0.3573977,0.402809,0.43643197,0.4453658,0.42960468,0.40455976,0.3851073,0.37788546,0.38035813,0.38979602,0.40911093,0.44175383,0.48024666,0.502121,0.48366812,0.4237977,0.34784016,0.29182148,0.27317008,0.28642997,0.31231007,0.33815968,0.35867047,0.37233427,0.37419486,0.36227646,0.34075198,0.32148275,0.3158723,0.3318708,0.366398,0.40699017,0.43301114,0.433135,0.41031003,0.38186574,0.36160722,0.35294774,0.3488417,0.34326205,0.33917043,0.34538618,0.36297163,0.37604657,0.36173058,0.31424132,0.2532754,0.21111532,0.20551628,0.23213975,0.2720994,0.30976078,0.3380383,0.35637665,0.36462614,0.36419985,0.3584871,0.3536308,0.3543018,0.36689815,0.39422014,0.43285987,0.46477732,0.47289386,0.4526757,0.42136693,0.39962423,0.39785174,0.41094196,0.42961422,0.4505525,0.47422424,0.49501094,0.49624336,0.46125367,0.3934854,0.3185239,0.27082136,0.2666042,0.29983652,0.34783018,0.3903799,0.4145452,0.4170717,0.40052524,0.3748553,0.3538804,0.35004076,0.36690402,0.40040576,0.44052675,0.4751204,0.48982164,0.47717085,0.44196215,0.40159908,0.37279284,0.3613292,0.36159328,0.36634612,0.37644485,0.39772758,0.42855033,0.45073518,0.43984345,0.38821948,0.31521013,0.25441572,0.2269107,0.23134597,0.25182524,0.27566338,0.29735634,0.31451592,0.32237604,0.3185402,0.30779397,0.30202436,0.31331995,0.34829745,0.402876,0.4603343,0.49534264,0.48924866,0.44381234,0.38185713,0.33183685,0.3107854,0.318387,0.3431749,0.3744769,0.4073291,0.43705478,0.45242786,0.43820372,0.3917607,0.32936296,0.28041145,0.2643841,0.28284252,0.3203682,0.36008653,0.38996756,0.40540102,0.40615177,0.39649418,0.38501117,0.3813934,0.39178625,0.41617385,0.4476013,0.47360444,0.47921744,0.45697987,0.4133768,0.36715457,0.33665064,0.32862273,0.33663473,0.34961423,0.36255524,0.37959912,0.40178052,0.41739425,0.4033561,0.34982514,0.2734447,0.21333449,0.20362158,0.2503587,0.32823598,0.39558133,0.42436013,0.41088054,0.37435162,0.33451033,0.30437145,0.28779307,0.28786376,0.308055,0.3485506,0.40048853,0.44397688,0.46111298,0.44797766,0.4197439,0.39597115,0.38794068,0.3938229,0.40838847,0.42954075,0.4586208,0.4886472,0.50237757,0.47979668,0.42059982,0.34689358,0.29090786,0.26878437,0.27567768,0.296221,0.32014266,0.3448268,0.36702964,0.38091996,0.38089022,0.37071732,0.36025324,0.36154625,0.38037357,0.41431403,0.45048264,0.47016147,0.46027622,0.42313597,0.37596425,0.3371663,0.3157393,0.30789682,0.30685073,0.30985734,0.32321176,0.3475511,0.37117103,0.36900142,0.3300731,0.26685008,0.21115035,0.18502371,0.19007039,0.21236198,0.2386872,0.26490438,0.28990817,0.31135654,0.32245585,0.3211497,0.3119909,0.30737612,0.31957603,0.35358414,0.3999492,0.4377364,0.44871524,0.4323478,0.40566,0.38839427,0.3884817,0.4010743,0.41922057,0.44088337,0.46904516,0.49827012,0.5124459,0.49015725,0.42911294,0.3511546,0.29326776,0.27791288,0.30206683,0.34232438,0.37593415,0.39222416,0.39038482,0.37286234,0.34173402,0.30511668,0.27606106,0.26924834,0.29173198,0.33942673,0.3962828,0.43888012,0.4497011,0.42759168,0.3900056,0.3577325,0.34300396,0.3429856,0.35123345,0.3631988,0.38291326,0.40707028,0.42379126,0.41114855,0.36463478,0.30030313,0.25112644,0.23805605,0.26010025,0.29793295,0.33018255,0.34824434,0.35218593,0.34804627,0.3369901,0.32265398,0.3084062,0.30208436,0.31117666,0.34312162,0.39778933,0.46266222,0.51661986,0.5430841,0.5404627,0.51927733,0.49195004,0.465524,0.44433156,0.43443224,0.4445082,0.47243544,0.4993682,0.4951507,0.447448,0.37374464,0.31268147,0.29097673,0.3082702,0.34325662,0.37523437,0.39670423,0.4097005,0.41929018,0.42613938,0.43194485,0.437117,0.44541577,0.45761156,0.4738556,0.4868405,0.48613712,0.46250486,0.41971573,0.3732253,0.34107006,0.3312385,0.337508,0.34879026,0.35728684,0.3681725,0.38461342,0.40169302,0.3980032,0.36192143,0.30081427,0.24365759,0.21285276,0.21192151,0.22704406,0.24382488,0.25819683,0.26942238,0.2759649,0.27015683,0.25291273,0.2330366,0.22897089,0.25301304,0.30758262,0.37780833,0.43914136,0.4682128,0.45926118,0.4255948,0.39002872,0.37068,0.37464026,0.4008421,0.4427093,0.49478745,0.54670674,0.5845101,0.58694595,0.54429406,0.46555904,0.38127804,0.32050934,0.29590026,0.30044785,0.31975093,0.34391403,0.36517808,0.3781744,0.3764863,0.36427316,0.35256338,0.3578637,0.38689014,0.43440768,0.4815909,0.5074571,0.49926856,0.46128085,0.4109949,0.36751541,0.34161043,0.33058658,0.32749426,0.3264561,0.33383265,0.3518162,0.3737477,0.37469828,0.34122896,0.28197157,0.23256032,0.22537625,0.26976153,0.34399357,0.41049948,0.44196716,0.43357754,0.40221992,0.3648096,0.3328174,0.3090441,0.2994106,0.30989912,0.3448756,0.39615306,0.44385386,0.46552753,0.45347127,0.4206592,0.39009738,0.37879404,0.38811144,0.41106677,0.43871295,0.47038293,0.5021028,0.52482146,0.51710993,0.4697702,0.39288568,0.31945598,0.27707013,0.27453777,0.29932916,0.3325566,0.36126995,0.37777796,0.38039687,0.36806107,0.34855512,0.33225468,0.33271658,0.3540736,0.39262435,0.4326258,0.45626447,0.45021713,0.41747585,0.37357536,0.3376387,0.32026473,0.31919283,0.32688645,0.3368403,0.35487542,0.38302,0.41391668,0.42021513,0.38646138,0.3198659,0.25470725,0.2183271,0.21745183,0.2382691,0.26543513,0.29257035,0.31712148,0.33619705,0.34200418,0.33441675,0.31967214,0.3124602,0.32233512,0.3531429,0.39595878,0.43456626,0.45097077,0.44024715,0.4136289,0.39083076,0.38514352,0.3950473,0.41173074,0.42585793,0.43870577,0.44914567,0.45214558,0.43085468,0.3798412,0.31020007,0.25110447,0.22485389,0.23535876,0.26889476,0.3079233,0.34296414,0.3690852,0.38464236,0.38536084,0.37473986,0.3605286,0.35639146,0.36986172,0.40288237,0.44560257,0.4805976,0.4882249,0.46163318,0.41269055,0.36460772,0.33674672,0.33096778,0.33940485,0.35166487,0.37180647,0.40086898,0.43184802,0.4367845,0.39878407,0.3241717,0.24849789,0.20505035,0.20554127,0.23682351,0.27570418,0.30875996,0.33178723,0.3491318,0.35975447,0.36587656,0.36717704,0.3657509,0.35508284,0.3303338,0.2908951,0.24638976,0.2068439,0.17846577,0.16117145,0.1523069,0.14800185,0.14561178,0.14397939,0.14347117,0.14299202,0.14010893,0.13184622,0.11809402,0.10151874,0.08764487,0.08117249,0.084088534,0.09354833,0.10509145,0.115158476,0.12285489,0.1276003,0.12816173,0.122864574,0.1116263,0.09606104,0.07897874,0.06294644,0.050047696,0.04143513,0.037308246,0.036785305,0.038382698,0.04094364,0.043988854,0.047556087,0.0512275,0.054061037,0.05482624,0.053038638,0.049104664,0.044253826,0.039658155,0.036115643,0.033907384,0.03313269,0.033846926,0.035944913,0.03904377,0.042295095,0.044807896,0.045889806,0.04558635,0.044233445,0.042323884,0.040061142,0.037775353,0.03591225,0.034894314,0.03476302,0.035005316,0.035044175,0.034386408,0.03305922,0.03134503,0.029867617,0.029062962,0.02895884,0.028962983,0.028366579,0.026890138,0.024949143,0.023307564,0.022532953,0.022711068,0.023436464,0.024080725,0.02399165,0.022866093,0.020812007,0.018397482,0.016244587,0.014825779,0.014215798,0.014219188,0.014524697,0.014847486,0.015008096,0.014859038,0.014403887,0.013733938,0.013032501,0.012367911,0.01172781,0.011104244,0.010585938,0.01024845,0.010032848,0.009752982,0.009269788,0.008527194,0.007604522,0.006615153,0.005796451,0.0053221607,0.0052542933,0.005392738,0.005497146,0.0054044477,0.0051500737,0.004831702,0.0045087566,0.0041637085,0.003764129,0.0033524588,0.003023973,0.0028588201,0.0028377592,0.0028587375,0.002828216,0.0027029875,0.0025079723,0.0022670154,0.0020154335,0.0017734674,0.0015757201,0.0014374295,0.0013643407,0.0013369083,0.0013301768,0.0013181298,0.0012880723,0.0012411386,0.0011811183,0.0011134325,0.0010352874,0.0009515923,0.0008637715,0.00078084803,0.0007057371,0.000643938,0.0005985173,0.0005726845,0.0005662962,0.0005665543,0.0005561482,0.0005189199,0.00046095764,0.00040033992,0.00035492165,0.0003234035,0.00029253028,0.00025519336,0.00021643077,0.00018834799,0.00017292921,0.00016795429,0.00017033097,0.00018196554,0.00019869707,0.00020849913,0.00019943707,0.00017125538,0.00013916986,0.00012197015]