[0.005465924,0.0055309474,0.005886745,0.0068612606,0.008642565,0.011187878,0.014217265,0.017291516,0.019773806,0.020999411,0.020486832,0.018788798,0.018391108,0.024407431,0.042695355,0.07574749,0.118904464,0.16123228,0.1916252,0.20477092,0.20317364,0.19394206,0.18508981,0.18229605,0.1876617,0.19937061,0.2132374,0.22445965,0.2289871,0.22443093,0.21196668,0.19745421,0.18947142,0.19366743,0.20815505,0.22437018,0.23337217,0.2330888,0.22970837,0.2326799,0.2465136,0.267714,0.28811964,0.30125326,0.30548504,0.30356622,0.29998532,0.29897353,0.30194783,0.30773026,0.3128538,0.31427714,0.30916736,0.29641417,0.27636743,0.25236115,0.2285188,0.20814238,0.1912508,0.17604633,0.16139682,0.14979927,0.14620858,0.15394634,0.17030303,0.18775938,0.19876415,0.20109181,0.19765979,0.19411206,0.19501728,0.20213379,0.21265365,0.2193578,0.21463342,0.19680846,0.17487846,0.16256554,0.1682061,0.18583131,0.20042872,0.19869463,0.17948471,0.153161,0.13440816,0.1324274,0.14631955,0.16683155,0.18368442,0.1911117,0.1897754,0.1841811,0.1804776,0.18341804,0.19403028,0.20856543,0.22121163,0.22791915,0.22815889,0.22371143,0.21704096,0.2106175,0.20669933,0.20611833,0.20811413,0.2110429,0.21542676,0.22325186,0.23553382,0.24775009,0.2524027,0.24485748,0.2288713,0.21333802,0.20517327,0.20461325,0.20698076,0.20706636,0.20174795,0.19041353,0.17432572,0.15598379,0.13857816,0.12530808,0.11858802,0.11832711,0.12155765,0.12429776,0.12543839,0.12878215,0.14009619,0.16244097,0.19166256,0.21890183,0.23391397,0.23205529,0.21582417,0.19664216,0.18891193,0.2029286,0.23639739,0.27561545,0.30420968,0.3132689,0.30377498,0.2818203,0.25368765,0.22409213,0.19634473,0.17211153,0.15101695,0.13242204,0.117328905,0.11016276,0.116307735,0.13806461,0.17058192,0.20312493,0.2248557,0.23019713,0.22052252,0.20110567,0.17832983,0.15679447,0.13831481,0.1217629,0.10544277,0.0898963,0.07931364,0.0798407,0.09516766,0.12294048,0.15433912,0.17969532,0.19393088,0.19939727,0.2020237,0.20699835,0.21558766,0.22536577,0.23200144,0.23120068,0.22086148,0.2022316,0.18117268,0.1670556,0.16802162,0.18485683,0.2080753,0.22405696,0.2232488,0.20638305,0.18159433,0.15874316,0.14318645,0.1341248,0.12700851,0.117926605,0.10725358,0.0994732,0.10089663,0.11505868,0.13992147,0.16735722,0.18823119,0.19747752,0.19698714,0.1926596,0.19021772,0.1919679,0.1963321,0.19988418,0.19969754,0.19530185,0.18824773,0.18167491,0.17939596,0.18438996,0.19640875,0.2108074,0.22152418,0.22506721,0.22339992,0.22223745,0.2274767,0.24096246,0.25852904,0.2720432,0.2739347,0.26186594,0.23932482,0.21398145,0.19390184,0.18434156,0.18484865,0.18996091,0.19264017,0.18896021,0.17961852,0.16870719,0.16031152,0.15637103,0.15571804,0.15587723,0.1552233,0.15499961,0.1591354,0.17239533,0.19684114,0.22908683,0.26055834,0.2823229,0.29018724,0.28689912,0.27882478,0.2717646,0.2677209,0.26568544,0.26374486,0.26176322,0.26129392,0.26393452,0.26926288,0.27497426,0.27805972,0.27617764,0.26828468,0.2556847,0.24232113,0.23393786,0.23501094,0.2458271,0.26169,0.27594045,0.28515115,0.29148543,0.30028236,0.31390813,0.32904518,0.33908638,0.33983335,0.33247218,0.3215296,0.31099173,0.30206704,0.29502037,0.2908094,0.290724,0.29383168,0.29678938,0.29530072,0.2864456,0.26868328,0.2442019,0.21941958,0.20423965,0.20432125,0.21774589,0.23618214,0.25308776,0.26680037,0.27980265,0.29372147,0.3070158,0.3148643,0.31261492,0.29946172,0.28009218,0.26266053,0.25458816,0.25874946,0.2716285,0.28482547,0.2896614,0.28208885,0.2659879,0.2513905,0.24948324,0.2641419,0.28806034,0.3058956,0.3044195,0.28053784,0.24154659,0.20025803,0.16847883,0.15423547,0.15834196,0.17549421,0.19566685,0.21106559,0.21785975,0.21779494,0.21390049,0.20992093,0.20710479,0.20427535,0.19778238,0.18599091,0.1726024,0.16654801,0.17605434,0.20261276,0.23878907,0.27294803,0.29510292,0.30134043,0.29330587,0.2767602,0.2597587,0.2503592,0.2534285,0.26771232,0.28780177,0.30787456,0.32475886,0.33594856,0.33809063,0.3281437,0.3073621,0.28196338,0.2598342,0.24518734,0.23701793,0.23054433,0.22148882,0.20765875,0.18959878,0.16928768,0.15061562,0.13904162,0.13895898,0.14938329,0.1630426,0.17255306,0.1782412,0.18791711,0.20907883,0.24044657,0.27461004,0.3038555,0.3254807,0.33863643,0.34245154,0.33508638,0.31635246,0.2882743,0.25515968,0.22287892,0.19866289,0.18977404,0.20070611,0.22998488,0.2698134,0.30877033,0.33652833,0.34590593,0.33405468,0.30183324,0.2553113,0.20485653,0.16325687,0.13992123,0.13675965,0.14773656,0.16412845,0.18136759,0.19965349,0.22040407,0.24016601,0.253081,0.2545016,0.2457388,0.23172678,0.21923298,0.21434484,0.2212288,0.23974918,0.26466787,0.28825828,0.303834,0.3081344,0.30068412,0.28366014,0.2612771,0.23936252,0.22266658,0.21240576,0.20492065,0.19356816,0.17356868,0.14591591,0.11806583,0.098196186,0.090055555,0.090236,0.09247744,0.09188089,0.08879288,0.08805335,0.09777665,0.12396753,0.16670926,0.2171272,0.2625492,0.29303083,0.30732986,0.31222853,0.3169037,0.3271338,0.34103468,0.35231832,0.35428682,0.34592566,0.3313707,0.3184233,0.3127147,0.31515887,0.31995857,0.31865454,0.3044972,0.27765608,0.24514264,0.2176798,0.2046997,0.20996486,0.23046689,0.25665358,0.27780703,0.28698826,0.28575692,0.28202203,0.28465864,0.2970896,0.3155971,0.3325275,0.34173152,0.34125996,0.33248127,0.31821156,0.30211607,0.28865287,0.2806011,0.2771369,0.27366522,0.26592842,0.2533717,0.2407422,0.2349373,0.23988545,0.25208104,0.26212248,0.26133463,0.24836247,0.22956014,0.21405154,0.20762639,0.21025603,0.21670125,0.22042537,0.21743475,0.20947771,0.20329458,0.20704015,0.22447772,0.25182596,0.2789484,0.29619554,0.2998862,0.29419148,0.2857186,0.27833292,0.27064136,0.26008245,0.24806102,0.2424659,0.25434458,0.29242042,0.3541138,0.42336333,0.47327766,0.4851795,0.45923248,0.41623804,0.37839106,0.35732266,0.35096407,0.35255703,0.35646185,0.35993454,0.3620652,0.36301753,0.3636843,0.3656284,0.37049338,0.37897563,0.38945198,0.39858893,0.4034897,0.40390328,0.40191814,0.4001418,0.39980337,0.40085515,0.40288737,0.40624872,0.41173124,0.4191444,0.42663372,0.43069685,0.42847416,0.41897008,0.4044771,0.3892403,0.37727866,0.37015393,0.36686787,0.36558497,0.36473027,0.36346856,0.36207986,0.36242023,0.3663768,0.37328997,0.3787955,0.3781469,0.36959672,0.3555909,0.33981392,0.32517946,0.31326,0.30505732,0.3006841,0.29855183,0.29629016,0.29272783,0.29061642,0.2957848,0.31448635,0.3490572,0.39404443,0.43682823,0.46144757,0.459751,0.43549874,0.40324834,0.37643957,0.3609453,0.35418883,0.35125545,0.34958956,0.34973535,0.3531603,0.3592988,0.36564505,0.36920163,0.36909124,0.36589298,0.36095428,0.35450998,0.3469914,0.33881426,0.33121416,0.32431576,0.3174242,0.30903098,0.29927528,0.29081878,0.28776827,0.29258195,0.30333528,0.31520036,0.32324752,0.32570124,0.32319924,0.3169558,0.30674228,0.29248443,0.27715802,0.26836255,0.27319226,0.29261205,0.31826043,0.33935216,0.34875992,0.3476484,0.34146783,0.33608794,0.33358657,0.3321059,0.32798314,0.31891096,0.30604932,0.29310265,0.28413782,0.2815363,0.28496635,0.29186392,0.29806623,0.3000779,0.2993532,0.30443993,0.3286407,0.37434712,0.42729437,0.45885214,0.4536202,0.41733086,0.3754952,0.34753588,0.340048,0.34593773,0.35613468,0.36327064,0.3640398,0.3589271,0.35130298,0.3456814,0.34509775,0.34993377,0.3577788,0.36451218,0.36687514,0.3643385,0.3601263,0.35827932,0.3610835,0.3672714,0.37413478,0.37966153,0.38334087,0.38526607,0.38487783,0.38240576,0.379451,0.37953734,0.384771,0.39446703,0.40464118,0.41072237,0.40984997,0.40228185,0.3912783,0.3806547,0.37257877,0.36618277,0.35952368,0.35218942,0.34709224,0.34920108,0.36084628,0.3782134,0.3915589,0.3930758,0.38245186,0.36772546,0.35749885,0.35496095,0.35629418,0.35484853,0.34679112,0.33484164,0.3278953,0.33664683,0.36481178,0.4050648,0.43982947,0.45433533,0.44590178,0.4261968,0.40989268,0.40362772,0.40404543,0.40221915,0.39184943,0.37116948,0.3463236,0.32735363,0.32388937,0.33661497,0.3577584,0.3753284,0.3813951,0.37342432,0.35471654,0.33086362,0.30924404,0.29490256,0.28962198,0.29065117,0.2943373,0.29848316,0.30355942,0.31047842,0.31897834,0.32751632,0.3345779,0.3382455,0.3363247,0.32714033,0.31282422,0.2991679,0.29298756,0.29717597,0.30888212,0.32130072,0.32757545,0.32545567,0.31735367,0.30950943,0.3068143,0.3124297,0.32486606,0.3397342,0.34869292,0.34484646,0.32583952,0.2974029,0.26918224,0.24998723,0.24267654,0.24453501,0.24948984,0.25297418,0.2558039,0.2661978,0.2948047,0.34386167,0.40106472,0.44448385,0.46059132,0.45211235,0.43529883,0.42284036,0.41821823,0.41619846,0.41195726,0.4028803,0.38936338,0.37267494,0.35609743,0.3428291,0.33495212,0.33129892,0.32984936,0.32912835,0.32914618,0.3296884,0.33007506,0.33004224,0.33092877,0.3340681,0.33882335,0.34173676,0.3396612,0.3320022,0.32150063,0.3116335,0.30522308,0.30329874,0.30518368,0.30802485,0.30813095,0.30303633,0.29329893,0.28174648,0.27136397,0.26404724,0.26017493,0.25920773,0.25930882,0.25881723,0.2568653,0.2542975,0.2517182,0.24867618,0.24377225,0.2364291,0.22756399,0.21878625,0.21178192,0.20825672,0.21016367,0.21797848,0.22902052,0.23740174,0.23769389,0.22796386,0.210892,0.19076945,0.171546,0.1552005,0.14246128,0.13264905,0.1244361,0.11652973,0.10855076,0.10106457,0.09473459,0.08969466,0.085537486,0.08179709,0.07847326,0.07584337,0.07432038,0.07390201,0.074325845,0.07521028,0.076533824,0.07867706,0.08218577,0.08747995,0.09454772,0.10299283,0.11199489,0.12066402,0.1282707,0.13456528,0.13978386,0.1444023,0.14892922,0.15352188,0.158265,0.16328688,0.16942531,0.17786962,0.18957889,0.2043858,0.22095777,0.23768353,0.2529932,0.26598296,0.27596632,0.28358877,0.2901955,0.29810703,0.3084643,0.32137117,0.3348569,0.34703818,0.3560696,0.36161518,0.36312494,0.3606738,0.35467127,0.34760833,0.3425951,0.3427666,0.3502977,0.36808455,0.39782703,0.4371206,0.47619104,0.5030054,0.5098555,0.4978887,0.47327122,0.44306886,0.4141389,0.39548263,0.39665845,0.42331168,0.46883187,0.5183204,0.5542154,0.57157445,0.57173055,0.5583113,0.52569157,0.47133386,0.40052876,0.33193243,0.28603283,0.28104565,0.32020545,0.39019668,0.4592991,0.5015853,0.50893724,0.496565,0.48078445,0.46926174,0.4592766,0.4489932,0.44121793,0.43984523,0.44549838,0.45475557,0.4666016,0.48195195,0.50176316,0.51934165,0.52827936,0.5260322,0.5210472,0.52046686,0.52744967,0.5328066,0.52490014,0.49253628,0.43912092,0.37811485,0.32972738,0.30568862,0.31025878,0.33887497,0.3829712,0.42742398,0.45730653,0.46483198,0.45639598,0.44806075,0.4542605,0.4774274,0.5048969,0.5196738,0.5117475,0.48558542,0.45290086,0.42469335,0.4056013,0.39740625,0.4011399,0.41921952,0.44875196,0.48308122,0.51055884,0.5286038,0.5371976,0.5391459,0.52600056,0.49248162,0.43955997,0.3843294,0.3462532,0.3440423,0.38088152,0.44518754,0.5078154,0.54549915,0.5502904,0.53565663,0.51564884,0.49673367,0.47608528,0.4524273,0.42958006,0.4121282,0.40164396,0.39666083,0.4007366,0.4194535,0.45485616,0.49489078,0.5232753,0.5287443,0.5166259,0.49986467,0.49316236,0.4993228,0.5102381,0.50755876,0.48023966,0.4295118,0.3710545,0.321292,0.29407716,0.29560336,0.32462007,0.3690338,0.41235092,0.4429433,0.4611943,0.47593164,0.49433577,0.51595676,0.5320621,0.534815,0.52195877,0.49951282,0.47410455,0.449585,0.42520836,0.4019955,0.38469818,0.38331392,0.4033707,0.44306508,0.48792085,0.5242129,0.5404338,0.53599757,0.511867,0.4758155,0.4362669,0.40588453,0.39355132,0.4058257,0.43865776,0.4792222,0.50623274,0.5086072,0.48951897,0.46583807,0.44748998,0.433364,0.41275176,0.38062644,0.34211144,0.31143725,0.3014402,0.31691444,0.3536723,0.40197337,0.45009482,0.485085,0.49853018,0.48938394,0.46712926,0.44524458,0.43760514,0.44832137,0.4694908,0.48148236,0.4700327,0.4354484,0.39430138,0.363691,0.3538916,0.36364326,0.38536617,0.4058526,0.41516313,0.4109683,0.4033282,0.40716434,0.4343048,0.4828066,0.5367897,0.57356006,0.5803719,0.5597725,0.5264799,0.4925451,0.46398243,0.44192293,0.42916167,0.43073407,0.44730973,0.47347108,0.49612895,0.508847,0.50913566,0.49997637,0.47575366,0.43393973,0.3771942,0.3227186,0.28862712,0.29203203,0.33527124,0.407653,0.48020867,0.5288275,0.54273367,0.5337438,0.5148389,0.49391678,0.47023878,0.44675776,0.43167827,0.43332708,0.45134577,0.47510347,0.4936087,0.5023132,0.50429565,0.5003217,0.4899679,0.4731655,0.4582444,0.45372263,0.4650197,0.48428655,0.49834338,0.49254987,0.46747896,0.4346013,0.41248178,0.40856192,0.42097387,0.4408219,0.46336612,0.48670116,0.5099179,0.52896243,0.54021883,0.5445488,0.5486581,0.556627,0.5647239,0.562579,0.54530334,0.5176168,0.4906591,0.47192088,0.46187696,0.45763132,0.45803854,0.46709576,0.48700118,0.51640624,0.5467875,0.57302254,0.58921164,0.5917263,0.57231885,0.53156495,0.47790328,0.43010354,0.40281236,0.4067557,0.43969393,0.48965204,0.5320712,0.5487638,0.53496605,0.5044899,0.4721577,0.4464434,0.42600915,0.40875006,0.3957331,0.3903966,0.39504364,0.40828514,0.43019593,0.45973334,0.49466074,0.52286005,0.5331673,0.5196806,0.49337175,0.47017518,0.46572265,0.48002705,0.5018978,0.5120719,0.50133854,0.47246358,0.43932143,0.4127921,0.3992095,0.39838335,0.4075928,0.41989818,0.43042782,0.43922934,0.45368537,0.47900072,0.5152156,0.55428505,0.5874386,0.6059572,0.60721415,0.5934797,0.57306504,0.5533316,0.5386991,0.53001165,0.52811885,0.5341978,0.54393166,0.54914165,0.54025584,0.5214149,0.50118965,0.4880943,0.4736096,0.44952604,0.41303155,0.37834385,0.36052206,0.3732821,0.41664967,0.48014894,0.5386242,0.5708596,0.5672896,0.5386111,0.49955904,0.4622489,0.42930028,0.40119413,0.3800192,0.370738,0.37771395,0.39821148,0.42752194,0.4603994,0.4966235,0.53020185,0.5524307,0.55348533,0.536572,0.5139611,0.5023586,0.50555444,0.51464814,0.5105254,0.48518494,0.44420624,0.40596464,0.38317466,0.38091767,0.3951193,0.41922852,0.4433724,0.45918286,0.46309602,0.46093282,0.4630177,0.47848043,0.50618154,0.53552026,0.5506938,0.5441964,0.52022344,0.49299252,0.47356248,0.4654669,0.4652116,0.47056606,0.4835868,0.5061751,0.53515625,0.560021,0.57289046,0.56970656,0.5521931,0.51903695,0.4735898,0.4234474,0.38508788,0.3704903,0.38673446,0.42668626,0.47590327,0.5111688,0.51989365,0.50328,0.47827327,0.45718122,0.44177666,0.42515787,0.40452218,0.3858573,0.37802294,0.3856479,0.40475926,0.42966366,0.45560965,0.4800469,0.4967855,0.50037456,0.49063793,0.47762454,0.47342786,0.4853431,0.508125,0.5277502,0.52660155,0.49778232,0.4496951,0.40357682,0.37762365,0.37834308,0.39896584,0.42728642,0.45054233,0.46069852,0.45596147,0.44385305,0.4370018,0.4484664,0.48033786,0.5232758,0.5591042,0.5773873,0.5775147,0.5690861,0.5582141,0.54801756,0.5386145,0.5333887,0.5377781,0.5541615,0.57938033,0.60273725,0.6155455,0.61058146,0.58575535,0.5380326,0.4714812,0.39693788,0.3328292,0.29415938,0.29078093,0.32108614,0.3760185,0.43647018,0.4901569,0.5307875,0.5633332,0.5853258,0.5929161,0.5800338,0.5524249,0.52170116,0.50148624,0.4967513,0.5036895,0.515116,0.5268214,0.5388308,0.54918617,0.55472517,0.55017465,0.5356631,0.512827,0.49190354,0.4804987,0.4847207,0.49583468,0.5069464,0.5103709,0.51031065,0.50561374,0.5014517,0.49813187,0.50226766,0.51055366,0.5222836,0.532291,0.5416487,0.5471665,0.5502959,0.55066913,0.550282,0.54406875,0.52912587,0.50442,0.47642818,0.4501727,0.43036056,0.41843918,0.41478407,0.41626254,0.4181924,0.4163779,0.40885484,0.39687994,0.38463175,0.37755254,0.37807307,0.38327202,0.38830128,0.39136434,0.39577687,0.40500066,0.41738927,0.42634165,0.42524627,0.4143083,0.3990352,0.38671884,0.37947568,0.37644532,0.37517956,0.37501848,0.3735933,0.36761603,0.35449663,0.33686638,0.32084075,0.31271204,0.31447482,0.3239127,0.33523473,0.34258488,0.3424606,0.3361207,0.32795408,0.32271925,0.32311872,0.32945204,0.34085202,0.35516027,0.36920598,0.3783606,0.3790114,0.37111202,0.359748,0.35228118,0.35303143,0.35949108,0.3648357,0.3631611,0.3550661,0.34559524,0.34151542,0.34627554,0.35997367,0.3786942,0.39631104,0.40688106,0.40787137,0.40144083,0.39227626,0.38397014,0.3770835,0.36966896,0.36008084,0.3488457,0.3397746,0.33855906,0.3493894,0.3712581,0.39643684,0.4158628,0.42412457,0.42287683,0.41488674,0.40189895,0.38351348,0.36235914,0.34251368,0.32728532,0.31640694,0.3087797,0.30569544,0.30955288,0.32073286,0.33368978,0.3408049,0.3361293,0.32116625,0.30279037,0.29052556,0.28957522,0.29950234,0.3142716,0.32750973,0.33453456,0.33408383,0.32773295,0.31992197,0.31633756,0.32013568,0.32944283,0.337495,0.33699074,0.32518446,0.30766794,0.2966547,0.30334878,0.32924083,0.3646702,0.39573523,0.41324905,0.4158349,0.40687755,0.39007488,0.3671759,0.34022486,0.31352767,0.29316303,0.2811418,0.27228296,0.2580474,0.23521475,0.210379,0.19498867,0.19688831,0.2147587,0.23976092,0.26128975,0.2725105,0.2721234,0.2621235,0.24504997,0.22382599,0.20292933,0.187801,0.1810069,0.1797551,0.17786396,0.17128944,0.16113703,0.15182531,0.14670555,0.14588799,0.14732407,0.14901072,0.15026128,0.1512086,0.15232462,0.15437344,0.1597731,0.17251915,0.1958998,0.22892547,0.26571754,0.29928306,0.32505372,0.34125724,0.34663963,0.34135556,0.32935908,0.31801632,0.3130734,0.31443927,0.31808507,0.32058623,0.32186273,0.32301906,0.32447565,0.32459196,0.3206124,0.30875906,0.28720388,0.25920078,0.23509783,0.22728336,0.24106364,0.26915815,0.29510796,0.3046935,0.2938254,0.27033454,0.24693555,0.23410146,0.23407741,0.24280542,0.2547188,0.26841488,0.28419432,0.30073246,0.31285682,0.3167317,0.31246778,0.3040187,0.29551256,0.29019287,0.29108703,0.30106494,0.3209577,0.34650734,0.3679526,0.37498048,0.36419097,0.34293374,0.32360578,0.3143058,0.31393993,0.31593812,0.3154173,0.31231773,0.3102144,0.31205177,0.31863773,0.32808647,0.33839285,0.3477697,0.35573813,0.36173,0.36538544,0.36624625,0.36442676,0.36083594,0.35640416,0.35173014,0.34670523,0.34250975,0.3408393,0.3423417,0.34197223,0.33154145,0.30553862,0.27013057,0.24127726,0.23438637,0.25434104,0.29471833,0.34957227,0.41360953,0.48201475,0.53981405,0.5752671,0.58337146,0.57563233,0.5653841,0.56504107,0.5757169,0.5926306,0.6044404,0.6045783,0.593263,0.5799536,0.57442665,0.58050704,0.59332997,0.60302234,0.6040526,0.59743124,0.5906862,0.58922863,0.5950963,0.6034012,0.6075581,0.59997654,0.5806206,0.554548,0.5328774,0.52295446,0.5282775,0.542785,0.55695575,0.5604171,0.55244946,0.54027843,0.5355557,0.5440295,0.5626042,0.5810997,0.58815247,0.578677,0.5552592,0.5282499,0.50907934,0.5086095,0.5291352,0.5642523,0.59683585,0.6131318,0.608793,0.5941165,0.58205885,0.5821796,0.59311646,0.60701877,0.6120775,0.6028929,0.58129734,0.557719,0.54197055,0.5415008,0.55462307,0.5733637,0.5840151,0.5792293,0.56067127,0.54017395,0.52920306,0.53340393,0.54953605,0.56819665,0.58091956,0.5844724,0.584081,0.5871429,0.5991554,0.6167688,0.6308747,0.62975603,0.6105153,0.5783775,0.546954,0.52667874,0.525939,0.54197687,0.5667696,0.58456254,0.5893681,0.58332884,0.5793765,0.5846953,0.6006492,0.61771744,0.62473917,0.61196274,0.58150345,0.54375386,0.5120724,0.49092185,0.47628984,0.4601088,0.43766892,0.4091409,0.37734914,0.3457768,0.31713417,0.29411602,0.27750352,0.2664597,0.25833264,0.25195834,0.24727207,0.24586159,0.24949539,0.26165885,0.28413963,0.31394994,0.34012243,0.35176635,0.34519163,0.33167544,0.3295149,0.3587916,0.42389503,0.51275444,0.59421873,0.6432706,0.6506937,0.6313209,0.60392374,0.5818877,0.56735104,0.55977315,0.5601656,0.57055336,0.5892654,0.6092806,0.6228857,0.6273882,0.6252548,0.6193616,0.6099972,0.59671265,0.58210194,0.5712316,0.5702071,0.57967263,0.595815,0.6085464,0.6125712,0.60686255,0.5984431,0.59227675,0.59118086,0.5931468,0.5959126,0.5981676,0.60135317,0.60639685,0.6138017,0.62121755,0.63031316,0.6407811,0.65200514,0.65557396,0.6473189,0.6286853,0.61048824,0.60184854,0.60511875,0.61436707,0.62007207,0.6170208,0.60639787,0.5953916,0.5895636,0.5904638,0.59487313,0.59855044,0.5978463,0.59105843,0.5787165,0.56435156,0.55355984,0.5538008,0.5666968,0.587302,0.600699,0.5981038,0.5782773,0.55288434,0.53067416,0.51761574,0.5132148,0.5179946,0.5317965,0.5543768,0.5826692,0.611515,0.63544315,0.65047234,0.6550047,0.6480656,0.63205534,0.61226517,0.597615,0.59342915,0.6008988,0.61385113,0.62489766,0.62631226,0.61809,0.6040887,0.5906252,0.5782931,0.5663994,0.5551752,0.5499363,0.55496526,0.5703463,0.5876946,0.59823054,0.59701014,0.5909615,0.5868414,0.5865812,0.58032054,0.5616849,0.5329357,0.5073646,0.49775648,0.5087808,0.5345296,0.5613744,0.5780373,0.5809764,0.57636875,0.5716162,0.5703165,0.5710892,0.57217836,0.57369405,0.5773961,0.5823503,0.5865569,0.58609617,0.5827616,0.57573766,0.56502944,0.543704,0.5124244,0.47530976,0.44371155,0.42287683,0.41368923,0.4120054,0.41589996,0.4263487,0.44499096,0.4694976,0.49281824,0.5090792,0.51674914,0.51710165,0.5087802,0.49025252,0.46433887,0.4412197,0.43244016,0.44589272,0.477903,0.51598406,0.5415906,0.5464061,0.53305054,0.51415354,0.4975336,0.48603812,0.47765517,0.4720277,0.46971336,0.4737418,0.48401514,0.4986066,0.5109803,0.52159697,0.5315852,0.54379344,0.54965776,0.5431395,0.5237963,0.50562733,0.5020992,0.51687837,0.53772515,0.5456349,0.53015035,0.49539876,0.4565508,0.4266741,0.41348478,0.41878203,0.44047335,0.46979436,0.4951258,0.5074878,0.50839686,0.5066224,0.5158163,0.54198676,0.58166504,0.61769944,0.63583714,0.63110024,0.61408544,0.5967208,0.5859936,0.5803266,0.57733774,0.5784931,0.58830833,0.6089396,0.6345729,0.65580994,0.66457087,0.66051674,0.6460793,0.6256426,0.6020868,0.580579,0.56640846,0.56484365,0.5748922,0.5908343,0.602942,0.60978556,0.612919,0.6162911,0.6122286,0.5948697,0.5620737,0.5260021,0.49982882,0.49503005,0.5103484,0.53680795,0.56014943,0.57602865,0.5873125,0.6008027,0.6141085,0.6219483,0.6202834,0.61172634,0.601124,0.59239316,0.58756167,0.58630115,0.5889279,0.59552723,0.60577613,0.6153021,0.6205016,0.61975116,0.61598766,0.60930014,0.6011805,0.59091884,0.5824337,0.57490486,0.57167745,0.5708367,0.57203007,0.5648801,0.5442963,0.5096145,0.4735421,0.44718182,0.43805566,0.4443799,0.4633526,0.49232984,0.53073764,0.57435936,0.6154303,0.6453319,0.66093606,0.663264,0.6546429,0.6367727,0.61494845,0.598138,0.5955481,0.61004376,0.6350941,0.65784764,0.6651263,0.6538119,0.63033104,0.6063102,0.5877666,0.5752099,0.5671471,0.56399393,0.56718004,0.57647604,0.58856136,0.5992784,0.60481787,0.6070232,0.6073444,0.60644644,0.5986503,0.58249635,0.56275636,0.5506551,0.5539835,0.571275,0.59448975,0.61261445,0.6205391,0.6181066,0.6118615,0.60686576,0.60566187,0.6060774,0.60530585,0.6016297,0.5942456,0.58382225,0.5719308,0.56366307,0.5658445,0.5830168,0.61274713,0.64412075,0.6666487,0.675608,0.6758148,0.6727198,0.66876984,0.6625188,0.6540069,0.64588547,0.63989073,0.6340935,0.624089,0.6083399,0.5891877,0.57039213,0.55356187,0.5392441,0.5280752,0.52198553,0.5230934,0.53537035,0.5593727,0.58995676,0.6124399,0.61675173,0.6022292,0.5820311,0.5671248,0.56298846,0.56650925,0.5751224,0.5867048,0.6002266,0.61124665,0.615931,0.61278945,0.608617,0.60917664,0.6164356,0.6218069,0.6194356,0.60831493,0.5966384,0.59048724,0.5914938,0.5940462,0.5910652,0.5785763,0.55933636,0.5405087,0.5285105,0.52476406,0.5271283,0.53307515,0.5429397,0.5584309,0.5791034,0.60113484,0.6190092,0.63197374,0.6410201,0.6470446,0.6440306,0.6278715,0.5987988,0.5660905,0.53843784,0.5214977,0.51467794,0.5163154,0.52467513,0.5392761,0.5558571,0.56772083,0.56740505,0.5561738,0.5398026,0.52566344,0.5139649,0.503615,0.49493375,0.4929954,0.50387144,0.52739865,0.55554205,0.5717313,0.56674457,0.5422049,0.51359373,0.4922607,0.48202956,0.47740054,0.47547266,0.4770417,0.48604766,0.50159127,0.5196423,0.534561,0.5475587,0.5591726,0.5678654,0.5637465,0.5432877,0.51167244,0.48447236,0.4732782,0.4806806,0.4987409,0.5153206,0.5217464,0.518236,0.51347953,0.5166599,0.53016144,0.5486627,0.5637189,0.5692945,0.5633021,0.5481799,0.53034157,0.5190962,0.5240219,0.5456776,0.57466483,0.5924882,0.5908167,0.5728647,0.55348927,0.54014194,0.5331576,0.5274814,0.52332497,0.5252258,0.5374847,0.55828506,0.57932514,0.5920615,0.59147644,0.5761722,0.5437157,0.49439514,0.4352868,0.3834006,0.35598803,0.36369383,0.4024688,0.45759797,0.50702953,0.53627473,0.5433574,0.5400855,0.5381512,0.5427932,0.5505258,0.5566856,0.5584207,0.5569853,0.5521572,0.54344004,0.5292532,0.5170305,0.5157995,0.53228396,0.55723625,0.57759666,0.5840176,0.5812423,0.57750756,0.57574385,0.5689602,0.54669875,0.50580174,0.45315805,0.40274665,0.36602962,0.3511969,0.36075807,0.39388657,0.4401643,0.48616543,0.5178905,0.5328865,0.53474355,0.53348184,0.5310967,0.5240502,0.49917397,0.4517785,0.38600552,0.31941035,0.26509848,0.22902532,0.20624463,0.19050308,0.17691642,0.16436358,0.15336381,0.14502369,0.14036824,0.14067803,0.14668602,0.15750347,0.16963474,0.17926703,0.18437469,0.1858114,0.18484797,0.18172832,0.17599456,0.1685016,0.16168517,0.15773158,0.15664996,0.15621746,0.15427077,0.15112817,0.14996393,0.15443964,0.16540526,0.1799651,0.19297938,0.19978094,0.19792332,0.18800914,0.17387934,0.16082864,0.15287174,0.14981247,0.14806968,0.14411013,0.13838856,0.1352091,0.13888319,0.14961684,0.16333956,0.17465574,0.17998372,0.17836271,0.1711126,0.16114388,0.15186387,0.14594789,0.14400868,0.14502954,0.1471547,0.15016417,0.15607353,0.16822647,0.1870504,0.20813464,0.22412835,0.2300862,0.22648694,0.21750778,0.20699151,0.19566296,0.1818995,0.16398306,0.14224978,0.119278796,0.0988971,0.084514655,0.0780598,0.07967004,0.08824369,0.1023829,0.12070695,0.14192557,0.1645642,0.18797489,0.21272016,0.24021208,0.2706808,0.3020896,0.3304493,0.35070693,0.3576363,0.3474808,0.32130972,0.28676268,0.25514713,0.23481828,0.22641651,0.22401553,0.2210076,0.2154849,0.21135491,0.21418323,0.22636767,0.24501802,0.2640746,0.27714038,0.27873388,0.2657627,0.23855571,0.20292468,0.16659309,0.13671604,0.11569833,0.10400206,0.100678824,0.10538524,0.1161961,0.12971802,0.14136468,0.14733239,0.14589547,0.13867031,0.1298748,0.12415049,0.12258627,0.12238235,0.11911186,0.111223854,0.10086816,0.09264851,0.09018905,0.094269834,0.10162581,0.10715067,0.10663742,0.100008935,0.090836495,0.08443298,0.08420858,0.089989565,0.097806804,0.10270345,0.10156522,0.09506157,0.08676886,0.08052311,0.07785686,0.07684758,0.07428969,0.06815681,0.059759606,0.05257167,0.050725136,0.05629596,0.06835855,0.08241585,0.09311197,0.09667746,0.09330911,0.085915625,0.07836879,0.07274725,0.06888834,0.064706236,0.05866246,0.050817266,0.04341449,0.039222393,0.040544897,0.047573816,0.058165196,0.068202436,0.07391355,0.07359889,0.06832833,0.060574125,0.05281413,0.046402026,0.041473437,0.037280094,0.032996386,0.029045733,0.027919153,0.03430747,0.051527184,0.07851107,0.10755864,0.12961446,0.13882089,0.13649035,0.12748781,0.11718289,0.10817184,0.10081307,0.093757935,0.08561749,0.07601573,0.06645024,0.059874218,0.059386168,0.06599721,0.07728974,0.08796073,0.09307479,0.09103552,0.084816456,0.080049016,0.08183551,0.09163331,0.106062405,0.11896211,0.12506253,0.12325422,0.11638949,0.109288774,0.10554757,0.10621667,0.10915675,0.111049145,0.10884627,0.10214747,0.09313654,0.08678355,0.08779725,0.09798587,0.11340227,0.12704204,0.13301653,0.13118456,0.12641253,0.12568301,0.13304782,0.14735241,0.16207367,0.16976185,0.16619165,0.1536147,0.13906996,0.13149981,0.13648038,0.15414572,0.17879762,0.20377932,0.22680537,0.2526959,0.29224643,0.34989986,0.42010638,0.48255906,0.5231485,0.5370836,0.53673327,0.5310709,0.52313256,0.50449896,0.468436,0.41519752,0.35561016,0.30324554,0.26671544,0.24557625,0.23548555,0.23326401,0.23923379,0.25354826,0.27393174,0.2953891,0.31236434,0.32103214,0.32123873,0.3169283,0.3141179,0.31651875,0.32330558,0.32984993,0.3317703,0.32689235,0.31546798,0.29866683,0.27844143,0.25756267,0.23936678,0.22604841,0.21783173,0.21283479,0.20972039,0.20795102,0.20872138,0.2116118,0.2157511,0.21899219,0.22132587,0.22367789,0.228113,0.23524196,0.24382119,0.24995196,0.24828894,0.23419118,0.20822823,0.17835057,0.1576849,0.15579532,0.17214131,0.19617768,0.21831097,0.23841687,0.26947036,0.32194927,0.39527026,0.46892682,0.52352166,0.54736847,0.5479041,0.53397614,0.51418227,0.4896945,0.4625235,0.43379176,0.4053289,0.37749222,0.35069788,0.32580814,0.3046452,0.2889476,0.27931002,0.27473453,0.27364555,0.27497354,0.27849624,0.28418824,0.2925651,0.3031338,0.3136163,0.31786677,0.31143162,0.29435965,0.27395746,0.25633413,0.24367869,0.23267432,0.22155352,0.21049313,0.20071264,0.19020128,0.17594801,0.15804373,0.14266585,0.13734823,0.14342602,0.1535934,0.15817702,0.1547272,0.14973187,0.15259498,0.16658787,0.18774492,0.20940097,0.22812094,0.24381292,0.25705746,0.26749197,0.27561477,0.2839525,0.29575437,0.31175756,0.3297025,0.34785914,0.3681349,0.39701566,0.43655774,0.4816514,0.51704,0.5321898,0.5234299,0.49915734,0.4678738,0.43865824,0.41651452,0.404434,0.40009305,0.39769366,0.3917215,0.38033065,0.3654621,0.34997442,0.33579746,0.3232108,0.31066516,0.29532483,0.27374372,0.24535768,0.21397309,0.18876582,0.17842764,0.18662,0.20798701,0.23275538,0.25234964,0.2642137,0.2707859,0.27584347,0.2818338,0.28870964,0.29496828,0.29737255,0.29202375,0.27561423,0.24987419,0.222899,0.20634228,0.2067014,0.22093858,0.23906772,0.25265494,0.2593737,0.26183596,0.26317263,0.26473337,0.26623023,0.26720202,0.26751545,0.2674087,0.26681945,0.26662698,0.26882932,0.27709135,0.29329094,0.31678882,0.3436036,0.37054217,0.39691553,0.42569718,0.45959592,0.49800932,0.5354479,0.56623584,0.5877648,0.6019778,0.6101462,0.6112828,0.60305375,0.58673036,0.5682063,0.5540684,0.54810166,0.54914486,0.55577725,0.5653202,0.5757816,0.58174103,0.580317,0.57070464,0.558857,0.5518797,0.55689716,0.5730327,0.5923038,0.60247606,0.59858525,0.5850176,0.5724707,0.5681693,0.5724966,0.5797304,0.5824185,0.5772055,0.56617314,0.5563183,0.55260676,0.5573601,0.5673514,0.57910496,0.5870595,0.5901615,0.5877261,0.5837971,0.5806374,0.5831302,0.5911146,0.6028841,0.61098504,0.6128834,0.609257,0.60742015,0.6114021,0.6218569,0.63228923,0.63533014,0.62618303,0.6080239,0.5899885,0.5821905,0.5903199,0.610676,0.6329992,0.64304346,0.6352809,0.61290085,0.587943,0.5680742,0.55588037,0.5484527,0.54555315,0.55013114,0.567329,0.59609133,0.6276718,0.64730054,0.6469512,0.625982,0.59086007,0.54498535,0.493705,0.44523063,0.41433966,0.41407785,0.44836888,0.5073461,0.5701778,0.6173174,0.63940024,0.6399205,0.62725043,0.6069913,0.58152914,0.5525339,0.52566403,0.50808495,0.50362635,0.5104553,0.5220477,0.53779763,0.5581293,0.58464056,0.60780317,0.6202403,0.6173074,0.60622406,0.5937851,0.5857861,0.5814917,0.5770042,0.5655344,0.5416364,0.5046212,0.46049404,0.42116377,0.40120843,0.4106151,0.44831464,0.50091153,0.55174613,0.590672,0.61651754,0.6330778,0.64128953,0.6413408,0.63119483,0.614295,0.594408,0.5788992,0.57020575,0.56945115,0.5732971,0.58079153,0.5912614,0.6071403,0.62645185,0.6446989,0.65169424,0.6420865,0.61353153,0.57147926,0.5228883,0.47996294,0.45445216,0.4550948,0.48166823,0.5273353,0.5805182,0.6281274,0.6588649,0.6692939,0.66544074,0.65677875,0.6475694,0.6347503,0.6147837,0.5895172,0.5669534,0.55194765,0.5448206,0.5405159,0.5409334,0.5490485,0.5682263,0.5894155,0.6034174,0.60405606,0.5977436,0.59095806,0.5874047,0.5813753,0.56671053,0.5384944,0.5009955,0.46246997,0.43425012,0.42209375,0.42806873,0.44757894,0.4740065,0.49838185,0.5172078,0.5323289,0.5506944,0.57626873,0.605834,0.6296899,0.6357467,0.61931556,0.583816,0.5420263,0.50573933,0.48412547,0.47822595,0.48625484,0.50350404,0.5283782,0.5566844,0.582588,0.5954304,0.59180284,0.5732019,0.5457948,0.50901,0.46392977,0.41759348,0.38706073,0.38714278,0.42032143,0.47273874,0.52100915,0.5458026,0.5428423,0.5240753,0.5060344,0.49673465,0.49237823,0.48724416,0.48263988,0.48714337,0.5020998,0.5186781,0.52252746,0.51524085,0.50901794,0.5183406,0.5380606,0.5558565,0.55991095,0.5537193,0.544993,0.5417755,0.54365736,0.5449613,0.5363868,0.5137879,0.48142782,0.4508275,0.43272758,0.43227872,0.4474032,0.4705125,0.49164796,0.50414175,0.5100143,0.5182936,0.5388384,0.57107705,0.60473824,0.6233595,0.6207587,0.60206336,0.5819889,0.5687055,0.5625078,0.55821824,0.5552833,0.5571087,0.56753063,0.58396965,0.6003459,0.6093398,0.6099619,0.6008916,0.5816331,0.54840344,0.50608504,0.46541557,0.44056368,0.43722537,0.45450103,0.48729026,0.5303042,0.57587695,0.6152065,0.6402976,0.6466849,0.6338556,0.60538834,0.5699549,0.5386563,0.5217563,0.5211871,0.53115505,0.54142183,0.54990834,0.56011707,0.5776112,0.5961924,0.60943896,0.6122847,0.61152005,0.6096018,0.60932964,0.6059411,0.5984049,0.5827286,0.56277436,0.54461426,0.53821975,0.5438543,0.55644745,0.5662686,0.5697806,0.5667557,0.56147575,0.5559379,0.5491461,0.5361995,0.5127454,0.47843596,0.43715656,0.39573586,0.36006522,0.33340895,0.3145685,0.30026674,0.28704128,0.27337012,0.25932702,0.24644886,0.23686229,0.23274487,0.23507243,0.24368596,0.2569208,0.27221563,0.28565714,0.2932689,0.29152584,0.27919433,0.257879,0.23428023,0.21720622,0.21321714,0.21988647,0.23031501,0.24005331,0.25305128,0.27487287,0.30545655,0.33729684,0.3621702,0.3765285,0.38111997,0.37662423,0.36079904,0.3309203,0.28791842,0.23914357,0.19383258,0.159077,0.13733888,0.13130467,0.14338267,0.17373724,0.21424843,0.2529156,0.27868578,0.288155,0.28240418,0.26566565,0.24238355,0.21859962,0.19911443,0.18628739,0.17947067,0.17852086,0.18526794,0.20121767,0.22442599,0.24901836,0.26966405,0.28384098,0.29161203,0.29288375,0.28774235,0.27793968,0.26689044,0.2565382,0.24517255,0.22873288,0.20608652,0.18202724,0.16690218,0.16930716,0.19062345,0.22185521,0.25073084,0.26811993,0.27327314,0.27005634,0.2634139,0.2566813,0.25226524,0.2511134,0.25106066,0.24690594,0.23480491,0.21792604,0.20752782,0.21483034,0.24211347,0.27915528,0.31189993,0.33084977,0.3349192,0.32562706,0.30277663,0.2661418,0.22150981,0.18408324,0.17017685,0.18700188,0.22547692,0.26886877,0.30341434,0.32670888,0.3424065,0.35408393,0.36029187,0.35848248,0.3477411,0.33127615,0.31404582,0.3016785,0.29847106,0.30660415,0.32499817,0.34891048,0.3709388,0.38315368,0.38111433,0.3655688,0.34154367,0.31388202,0.28555313,0.25826883,0.23533797,0.22171901,0.22323684,0.24313672,0.2789068,0.3188567,0.3456113,0.34505513,0.31713676,0.27728197,0.24745415,0.2428962,0.2648833,0.30212155,0.33735824,0.35481992,0.34676203,0.31614685,0.2739455,0.23131712,0.19454068,0.16473307,0.14244981,0.12944898,0.12726106,0.13387533,0.14363569,0.15209998,0.16085093,0.17772663,0.20917575,0.25239286,0.29350987,0.31429088,0.30339757,0.26361582,0.21170528,0.167319,0.1416856,0.13180022,0.1270182,0.11955304,0.111891635,0.11552469,0.1401602,0.18505447,0.23571438,0.27632022,0.2984778,0.3060201,0.30498692,0.29808012,0.28288195,0.25870126,0.23111959,0.21188767,0.21150792,0.2319436,0.26403952,0.29480642,0.31456745,0.32131577,0.31848434,0.31253293,0.3102469,0.31458905,0.32244173,0.32546973,0.31633234,0.29386267,0.2643905,0.23914115,0.22742498,0.23246731,0.24871828,0.2676665,0.2814242,0.28676653,0.28223,0.26873484,0.24871008,0.22752471,0.21115477,0.20353504,0.20508254,0.2125631,0.22353716,0.23687363,0.25392476,0.27333042,0.2918884,0.305699,0.315001,0.32354453,0.3355634,0.3512702,0.36503825,0.36726603,0.3504349,0.314594,0.2698541,0.23026662,0.20835775,0.20926557,0.23296078,0.27331817,0.32059443,0.3608099,0.38186383,0.37836424,0.35571483,0.32652733,0.30326423,0.29296747,0.29589066,0.30890968,0.3263283,0.34190515,0.35002849,0.3496952,0.34527364,0.3440971,0.35126388,0.36622885,0.3836445,0.3963467,0.39830557,0.38500264,0.35490313,0.31110847,0.26230726,0.21797355,0.18291497,0.15554328,0.13275678,0.11391965,0.101045124,0.09518081,0.0953828,0.09857687,0.10140587,0.10051679,0.09478507,0.08709606,0.08500737,0.0968318,0.123603165,0.15472381,0.17276798,0.16732527,0.14338471,0.11762337,0.10570299,0.114139654,0.13941447,0.17175044,0.19810843,0.20748812,0.19572245,0.16825275,0.13600774,0.10931945,0.09322006,0.08759677,0.09011767,0.09902104,0.11330535,0.13068093,0.14632814,0.15438767,0.15118258,0.13719465,0.11657464,0.09530201,0.07938856,0.073917836,0.081781864,0.10231433,0.13002114,0.15598248,0.17165087,0.17294818,0.16130061,0.14131449,0.118011825,0.09532175,0.07615166,0.062139463,0.053486526,0.04899751,0.046991248,0.04610763,0.045662656,0.04536906,0.045064885,0.044583946,0.04389243,0.04309563,0.04242228,0.04202534,0.04192334,0.04197703,0.04203358,0.04202049,0.0419551,0.041867893,0.04171599,0.041441124,0.04110205,0.04117313,0.042817757,0.04804482,0.059117433,0.07725156,0.10097873,0.12567991,0.1447891,0.15312733,0.15027182,0.14265035,0.14061372,0.15305895,0.18084764,0.21620373,0.24604155,0.25980353,0.25443432,0.23598476,0.2151599,0.20263,0.20480514,0.22388525,0.25735328,0.30012378,0.34499276,0.3846476,0.4114691,0.4188749,0.40434197,0.37244916,0.335598,0.30757985,0.29841697,0.31020558,0.34292224,0.39353538,0.4579449,0.52398914,0.58032924,0.61821526,0.6398247,0.6491587,0.6519185,0.65046996,0.6490391,0.6503884,0.6569529,0.6662752,0.67468745,0.67609626,0.6663513,0.64066786,0.59718764,0.5379567,0.47211245,0.4136428,0.37638798,0.3711989,0.39953747,0.45312682,0.5117385,0.55748415,0.5815118,0.5900373,0.5922668,0.5948503,0.59908146,0.6056388,0.6167665,0.63349026,0.65348125,0.67088836,0.68116456,0.68503356,0.68433905,0.67968917,0.6671322,0.6490651,0.63212085,0.6261931,0.6291535,0.6305453,0.6147142,0.57581276,0.5183206,0.45760426,0.40975618,0.3864138,0.38949338,0.41408372,0.45085934,0.49093625,0.52701503,0.5576301,0.58504343,0.61307716,0.64081764,0.66136485,0.66645837,0.65122336,0.622564,0.5933075,0.57839483,0.58152455,0.59784466,0.61624926,0.6297822,0.63699526,0.64288515,0.65103036,0.66139054,0.66664034,0.66233975,0.6454873,0.6188063,0.58153296,0.5369788,0.4908464,0.45640203,0.44550335,0.46360222,0.50332767,0.54685086,0.57777053,0.5902469,0.59262437,0.5943317,0.599807,0.60624534,0.6123623,0.6190164,0.62698144,0.6313545,0.62629086,0.61066705,0.59586567,0.5937279,0.60872906,0.62763524,0.6368632,0.63001317,0.6162133,0.6051188,0.60176295,0.60022086,0.5913387,0.5664415,0.5255641,0.476459,0.4328399,0.40728867,0.4084319,0.43625543,0.48086104,0.5253926,0.55797505,0.5799208,0.6027435,0.6336353,0.66446656,0.67749053,0.65896016,0.6137174,0.55840373,0.5106961,0.47582543,0.4514247,0.4337679,0.42397308,0.425315,0.44148126,0.47056165,0.5058698,0.53419584,0.5491316,0.54955953,0.5425183,0.5291984,0.5103959,0.48676682,0.46757427,0.46441674,0.48459396,0.52220637,0.5603275,0.58264697,0.585573,0.5774805,0.5671292,0.55337423,0.5289696,0.49033597,0.44508624,0.40925398,0.39654568,0.41136155,0.4451106,0.48838687,0.53217125,0.5733809,0.6038465,0.61781764,0.6105919,0.58766866,0.55790454,0.53276545,0.5169619,0.5080922,0.49753335,0.48150215,0.46386698,0.45411643,0.4573395,0.47334144,0.49651566,0.5205226,0.53705484,0.5412183,0.53338224,0.5234137,0.52509487,0.54752487,0.5881216,0.6320333,0.66596156,0.6828298,0.68653965,0.6792095,0.6630488,0.63789815,0.61000395,0.588072,0.58219,0.5937397,0.61536497,0.63169855,0.6328847,0.6150947,0.58265793,0.53786546,0.4865128,0.4352585,0.39693058,0.38299358,0.4026556,0.4529996,0.51910394,0.5771,0.61134243,0.6204462,0.6166436,0.6100111,0.6039826,0.59390324,0.5779407,0.55977106,0.5481774,0.5486328,0.56020314,0.5800401,0.6068068,0.6405118,0.6748595,0.6998903,0.7070806,0.69673306,0.67519957,0.6493943,0.62192065,0.59246427,0.5626719,0.54019946,0.5327632,0.5412653,0.55568844,0.5679289,0.57772404,0.5938507,0.61919135,0.6487775,0.6720411,0.68323755,0.6829681,0.67481774,0.66267586,0.64816403,0.63521004,0.6270091,0.6261789,0.6293857,0.631504,0.62770486,0.618141,0.6060131,0.5980689,0.597827,0.60566825,0.6136641,0.61615855,0.6073969,0.5878403,0.5560213,0.5161799,0.47603464,0.4496363,0.4484621,0.47718325,0.5273657,0.5808695,0.61775273,0.6301293,0.6237182,0.6113872,0.59984565,0.58797485,0.5705944,0.5469833,0.52296895,0.50635666,0.5010834,0.504211,0.5152726,0.5365245,0.572007,0.61371684,0.6488233,0.66515064,0.6639426,0.6517508,0.63674736,0.61988264,0.59898335,0.5688811,0.52977574,0.485924,0.44751024,0.42374924,0.4229732,0.4451797,0.4821826,0.5188308,0.54728776,0.5708123,0.59979934,0.6369048,0.6728027,0.6923242,0.6858179,0.6585856,0.62623256,0.60613877,0.60336536,0.61323136,0.626638,0.6407428,0.6548989,0.668936,0.6760022,0.67019624,0.64661485,0.6111427,0.57039875,0.53270656,0.49746028,0.4652636,0.4362251,0.41728666,0.41648135,0.44232818,0.49461398,0.5606995,0.6187816,0.6519818,0.65830415,0.64742166,0.6282768,0.60121244,0.5627368,0.51524156,0.4726918,0.4511641,0.45816943,0.48509645,0.5200992,0.55330914,0.5840635,0.60809356,0.62419605,0.62915367,0.6273096,0.6188324,0.6048942,0.5819848,0.5508992,0.512611,0.47336164,0.4388597,0.41705894,0.4138576,0.43655404,0.48543248,0.55102175,0.6106023,0.6449332,0.649009,0.6384201,0.63269323,0.64110255,0.65526605,0.65837604,0.6409568,0.6061389,0.56699926,0.5327037,0.50650626,0.485764,0.47105038,0.46594742,0.47790584,0.5071078,0.54590636,0.5761936,0.5864561,0.5718917,0.5389528,0.49284896,0.44339946,0.40163958,0.3817978,0.39093778,0.4276127,0.47933325,0.5290494,0.5605576,0.56885433,0.5593471,0.54214805,0.521407,0.49569774,0.46403596,0.43273008,0.4150603,0.42111495,0.4514325,0.493443,0.5356551,0.5685163,0.5898354,0.5928405,0.57862216,0.55349034,0.53448707,0.5305186,0.5420597,0.5569946,0.56277543,0.54841584,0.51478624,0.47265586,0.44067988,0.43136165,0.44687128,0.47728968,0.50931627,0.531388,0.5392824,0.536411,0.5318735,0.53685313,0.5567704,0.58807963,0.61684304,0.6316645,0.63069755,0.623952,0.6205213,0.6221788,0.6235702,0.6218806,0.6197266,0.6253404,0.6408771,0.6628029,0.677834,0.67905504,0.6612415,0.627769,0.57909465,0.5227205,0.4675355,0.42662397,0.408784,0.42092642,0.46334887,0.5277801,0.5948012,0.6454784,0.6695697,0.6705673,0.65548944,0.6313555,0.60229665,0.57463646,0.55531406,0.5480326,0.5514379,0.56035465,0.5744557,0.59250116,0.61199045,0.62139416,0.615511,0.5958228,0.5746447,0.559558,0.55426174,0.55416846,0.55563164,0.5542168,0.5535388,0.5565987,0.5666234,0.5766116,0.5830006,0.5838947,0.5863938,0.592127,0.60295695,0.6170518,0.63565856,0.6548245,0.664057,0.6500986,0.6054838,0.5391676,0.46802935,0.40856168,0.36267814,0.32481495,0.28981647,0.25997725,0.24010758,0.229941,0.22436462,0.21644317,0.20435274,0.19074373,0.1824183,0.1844378,0.1979378,0.21755105,0.23595333,0.24759114,0.25274917,0.25510633,0.25827575,0.26220247,0.2640425,0.26166606,0.25604412,0.25060835,0.24734636,0.24650866,0.24717975,0.24968319,0.252787,0.25340068,0.24730013,0.23433594,0.21942277,0.21027297,0.21133602,0.22125886,0.23391621,0.243244,0.24579489,0.24145238,0.23218553,0.22217327,0.21654129,0.219055,0.2289358,0.2415791,0.2511576,0.25437152,0.25108317,0.24510066,0.24185024,0.24584846,0.2549241,0.2611263,0.2550179,0.23486261,0.20756418,0.18499939,0.17609854,0.18409105,0.20574313,0.23373635,0.25838038,0.27250466,0.27382985,0.26624602,0.2553967,0.24591553,0.23890345,0.23373283,0.22930783,0.22618638,0.22609437,0.23095705,0.24081261,0.2534217,0.2653092,0.2739911,0.27934405,0.28292832,0.2857696,0.28686735,0.28402635,0.27609074,0.26376787,0.24854861,0.23147206,0.21424496,0.20018703,0.19335234,0.19427033,0.19865365,0.19968641,0.19403379,0.18425255,0.17719571,0.1793027,0.1927054,0.21460862,0.23877645,0.25946602,0.272988,0.27855194,0.27753922,0.27353406,0.27159908,0.27433106,0.2796842,0.280552,0.27205244,0.25582662,0.24169903,0.23935091,0.2522285,0.27487412,0.29945597,0.32055447,0.33667946,0.34661004,0.3474277,0.3352565,0.30844858,0.27080834,0.23146056,0.20021315,0.18046142,0.1670836,0.15214463,0.1334547,0.11740259,0.113629706,0.12695819,0.15374295,0.18416707,0.20836015,0.22044319,0.21946405,0.20734815,0.1877565,0.16594303,0.14781569,0.13735798,0.13397686,0.1336381,0.13258658,0.13079871,0.13127136,0.13691749,0.1478002,0.16150318,0.17503744,0.18664612,0.19591339,0.20255746,0.20675069,0.20952743,0.21618128,0.23224898,0.2613149,0.29771438,0.33322427,0.35915604,0.3727094,0.37131724,0.35553062,0.3306518,0.30929056,0.30286828,0.31293824,0.33115295,0.3477662,0.35944775,0.36782023,0.37447023,0.3779658,0.37476435,0.3614852,0.33545896,0.29834056,0.25851494,0.23208725,0.23325773,0.2637132,0.30725375,0.33938012,0.34221187,0.31495076,0.27213946,0.23376064,0.21337207,0.2129197,0.22530161,0.24401511,0.2675345,0.297104,0.32949662,0.35694587,0.37235752,0.37453672,0.36683348,0.35419926,0.34122276,0.33264387,0.3311776,0.3355569,0.34030023,0.33873096,0.32850564,0.31284642,0.30035496,0.29746482,0.30560338,0.31927088,0.33196774,0.3390596,0.34060884,0.33881333,0.33738256,0.33825597,0.34313688,0.3517948,0.3642098,0.37844524,0.3928719,0.40558675,0.41576138,0.42227304,0.42397866,0.42004928,0.411118,0.40046343,0.393419,0.3949399,0.40405512,0.41246822,0.40855655,0.38774467,0.35755476,0.33336425,0.3273114,0.34268042,0.37833217,0.43439868,0.50926703,0.5919171,0.6619447,0.7031495,0.71466595,0.7102178,0.7049753,0.70419616,0.7033346,0.6936619,0.674037,0.65020186,0.63426477,0.63253313,0.6457214,0.6647872,0.6798322,0.6810166,0.6675293,0.6426117,0.61435914,0.58875054,0.57445693,0.5768328,0.59755254,0.62771994,0.65711874,0.6776212,0.68982095,0.6970577,0.7034026,0.7092027,0.7117667,0.70772815,0.6972978,0.6859804,0.6804113,0.6831625,0.68729454,0.6807239,0.65140265,0.5997867,0.536526,0.4803147,0.44468698,0.43870726,0.4595271,0.4962196,0.5269796,0.5372768,0.52385455,0.5016917,0.4862344,0.4910183,0.51636595,0.55590755,0.5935151,0.61766535,0.62476414,0.6238051,0.6249364,0.6335432,0.6480984,0.66389513,0.67787737,0.6882889,0.6962548,0.7022838,0.707516,0.71030194,0.7098348,0.70568603,0.7028453,0.705923,0.71794444,0.73383325,0.74742746,0.75193566,0.74775594,0.7380858,0.73207235,0.7345455,0.7463052,0.75896686,0.7657086,0.76188326,0.7492724,0.7307922,0.71342355,0.7045691,0.7097664,0.72540283,0.74157983,0.74806935,0.7425063,0.73103017,0.72247577,0.7224634,0.7294224,0.7389149,0.74691516,0.75344735,0.7594269,0.76485616,0.7663874,0.76133114,0.74845773,0.7310874,0.71059173,0.6894986,0.669481,0.660446,0.67011553,0.70142984,0.74108267,0.77328235,0.7838716,0.77329093,0.74720025,0.7171441,0.6876442,0.66158986,0.63621444,0.61347455,0.5920871,0.5691691,0.5361816,0.49123096,0.44064653,0.39683893,0.3668425,0.35018483,0.3419651,0.33897278,0.3408884,0.34985438,0.36822936,0.3973488,0.4340085,0.47157273,0.50228626,0.5246184,0.5419305,0.55968475,0.5774529,0.5917219,0.5970421,0.5913214,0.5720601,0.53918177,0.49304178,0.43885544,0.38347575,0.33776882,0.31153074,0.31055272,0.3295155,0.35511145,0.37296537,0.3768082,0.3684931,0.35384917,0.33749023,0.32232818,0.31215426,0.3129376,0.3320204,0.3707366,0.42201403,0.47055057,0.5042822,0.51916814,0.5206395,0.5143745,0.50264764,0.48728856,0.47672942,0.48775208,0.5303311,0.5983133,0.66644317,0.7136359,0.73278785,0.7352433,0.7325668,0.73093075,0.72761565,0.71958953,0.70566964,0.68916726,0.67446834,0.6657147,0.6641298,0.66852933,0.67530555,0.679957,0.67924047,0.673312,0.6664915,0.6642015,0.66992044,0.6816735,0.69434094,0.701699,0.70207924,0.69702697,0.69111496,0.68642944,0.68350124,0.67915255,0.6701042,0.65232253,0.6262719,0.5956239,0.5675016,0.54657674,0.53463227,0.5315766,0.53823346,0.55648154,0.58414966,0.61453956,0.6377287,0.6506452,0.65538114,0.6572252,0.65430045,0.6447173,0.6283274,0.61330754,0.6056325,0.6086113,0.61794376,0.62930185,0.6367264,0.6386285,0.634057,0.6254437,0.6139608,0.6029157,0.5949846,0.5935667,0.59858304,0.6091249,0.62108445,0.63137853,0.63580275,0.6361934,0.63433576,0.63329005,0.62900037,0.6193511,0.6029007,0.58428544,0.567221,0.5566321,0.55565,0.56630164,0.5861474,0.6082073,0.6239864,0.6277035,0.6211068,0.6088082,0.59438807,0.5753596,0.5510183,0.5248998,0.50643915,0.50216436,0.5155049,0.5423755,0.5754776,0.6021862,0.6156616,0.6151659,0.6079973,0.598537,0.5873776,0.57208437,0.5531066,0.5342746,0.5194695,0.5095989,0.5022655,0.49802744,0.49993572,0.51134014,0.52657515,0.5372193,0.53696626,0.53070766,0.5260306,0.52913445,0.53745884,0.5445624,0.5419826,0.52691764,0.5025791,0.4780228,0.4619503,0.46000397,0.47215524,0.49296197,0.51303834,0.52428496,0.5247135,0.51981854,0.5188933,0.5304927,0.556333,0.5897886,0.6170416,0.628222,0.62280864,0.60998607,0.59833497,0.59041125,0.5846512,0.58052987,0.5824519,0.5935521,0.6127172,0.6309338,0.64015216,0.6351839,0.61745757,0.5884872,0.5522899,0.5135799,0.48105314,0.4623032,0.46368992,0.48386836,0.51719624,0.55218315,0.5834406,0.60609335,0.6193498,0.6147217,0.5885232,0.5409589,0.48581073,0.43911555,0.4154389,0.41812536,0.44063196,0.47251245,0.5054366,0.5376372,0.56756353,0.59621054,0.6205874,0.6391222,0.6451029,0.63834643,0.62072486,0.601418,0.58390844,0.5730224,0.569627,0.57730407,0.59152454,0.60726887,0.6165115,0.61897564,0.6149481,0.6104219,0.60786724,0.61087996,0.6162679,0.62315613,0.62663513,0.6246999,0.61157626,0.5889228,0.5618403,0.5413142,0.5342044,0.5437018,0.5677436,0.60109735,0.6367952,0.6671365,0.6870382,0.69377893,0.6903677,0.6821937,0.67594224,0.6734047,0.67374444,0.67402786,0.6746629,0.677388,0.6850459,0.69414496,0.69729614,0.68535155,0.6593631,0.6277055,0.602007,0.5868327,0.58222246,0.5872777,0.60228276,0.625583,0.6501383,0.66679287,0.66944647,0.66096306,0.64964455,0.64335227,0.642163,0.64220697,0.640262,0.6387722,0.64101523,0.64742476,0.65353227,0.6541255,0.6470083,0.6342748,0.6196294,0.6053838,0.59195906,0.58086133,0.575459,0.5801577,0.59533983,0.61861473,0.6434712,0.6656816,0.68076915,0.6898489,0.69154644,0.6861875,0.67029124,0.6481049,0.6263005,0.6143705,0.61311716,0.61847377,0.62461895,0.62991977,0.63592464,0.6417306,0.6433824,0.633543,0.61196905,0.5836317,0.5590119,0.54153293,0.53096145,0.52340704,0.5207632,0.52656096,0.54550356,0.5737899,0.60251075,0.61824876,0.61811346,0.60753727,0.59941775,0.59868574,0.60366446,0.6085048,0.6124844,0.6193493,0.63244873,0.6498812,0.66513395,0.6735807,0.6746077,0.66981506,0.65748954,0.6365625,0.60994935,0.58754605,0.57748055,0.58249587,0.5969357,0.6127961,0.62191224,0.6214314,0.6128699,0.60186195,0.59276,0.58872414,0.59003305,0.5961039,0.6034134,0.6094678,0.6126823,0.6162386,0.62195706,0.63120264,0.63834363,0.6374658,0.62206167,0.59541154,0.5657647,0.5446272,0.53598213,0.5380246,0.5456167,0.55595285,0.5683852,0.5789251,0.5814946,0.5694171,0.54770297,0.52588576,0.51401424,0.5080765,0.50061506,0.48604456,0.4717267,0.4686062,0.48593768,0.5191345,0.55434746,0.5727945,0.5686148,0.54780036,0.52612877,0.5125641,0.51027244,0.5163071,0.52973217,0.54923016,0.572589,0.5936416,0.60587883,0.60748786,0.6041677,0.60300875,0.60391015,0.5990436,0.58268267,0.5593371,0.54024535,0.532739,0.5337092,0.5339554,0.52602714,0.5110782,0.49682072,0.49289915,0.50314814,0.52480316,0.549712,0.57051206,0.582787,0.58643866,0.5827509,0.5746735,0.56690687,0.568368,0.58494824,0.6160657,0.6491857,0.67366177,0.68387866,0.68548465,0.6815636,0.67284894,0.65599084,0.63326985,0.61210394,0.60172224,0.6059187,0.6196314,0.63296264,0.63453394,0.61692363,0.5762995,0.5180488,0.45508087,0.40680194,0.38770136,0.40489304,0.451388,0.5128357,0.568424,0.6071937,0.62786293,0.6400957,0.64815044,0.6495266,0.63616616,0.6059385,0.5660076,0.53000826,0.5078427,0.50095826,0.5042295,0.5165732,0.5395513,0.57473534,0.6145436,0.6508105,0.6766279,0.69146895,0.69261456,0.6773095,0.6439306,0.59925735,0.5570045,0.531213,0.52711934,0.53687793,0.548593,0.5551135,0.55987287,0.5671063,0.57748437,0.58620644,0.5905504,0.58845687,0.576751,0.5505364,0.50951725,0.46118462,0.41594923,0.38032213,0.3545592,0.33603644,0.32200143,0.30949965,0.29576957,0.2790471,0.26028404,0.24210739,0.22734411,0.21740709,0.21283601,0.21434586,0.22321431,0.23916793,0.2591366,0.27788994,0.29182723,0.300657,0.30708826,0.31346893,0.32072312,0.32795483,0.33466637,0.3397341,0.34153414,0.3372642,0.32722622,0.31533778,0.30763224,0.3058534,0.30730224,0.30755898,0.3054565,0.30270156,0.30148602,0.30263218,0.30537224,0.30871403,0.3110268,0.3104453,0.30477068,0.29431573,0.2827389,0.27604315,0.27716374,0.28420427,0.29203048,0.29748166,0.30107856,0.30439293,0.30771914,0.30849347,0.30565524,0.29963437,0.29397598,0.291151,0.29426667,0.30536446,0.32576284,0.35127655,0.3734698,0.3835096,0.37935457,0.36589864,0.35087618,0.33909023,0.33124223,0.32564288,0.32053164,0.3148572,0.30793807,0.3001329,0.29331183,0.29106414,0.29541448,0.30532786,0.31654844,0.32646942,0.3365786,0.3540218,0.38755834,0.44205976,0.512151,0.5823334,0.63605523,0.66486406,0.6713946,0.65845805,0.62499875,0.56653965,0.48948658,0.410118,0.34895775,0.31545055,0.30821168,0.321805,0.35475293,0.40859112,0.47973812,0.55796784,0.62839574,0.6780934,0.6963648,0.6763118,0.61832196,0.53473914,0.44805625,0.3800631,0.3410482,0.32613197,0.32199225,0.31672096,0.3060037,0.2932687,0.2842638,0.28257415,0.28678584,0.29277757,0.29693067,0.29931894,0.30239657,0.3074988,0.31179413,0.31103417,0.30339864,0.29229343,0.28277013,0.27840784,0.27828673,0.27883354,0.27572417,0.26743922,0.25582,0.24518467,0.23906703,0.23740573,0.2364826,0.23105049,0.21895206,0.20224267,0.18634231,0.17587705,0.17238413,0.17363004,0.17530255,0.17387716,0.16857266,0.16224821,0.15994485,0.16741973,0.18706806,0.21567465,0.24326539,0.25980258,0.26030484,0.24851097,0.23173712,0.21702158,0.20691134,0.20021157,0.19262429,0.18057823,0.16348247,0.14576274,0.13482402,0.13893904,0.16158287,0.19877486,0.23795891,0.26622403,0.2766569,0.2732489,0.26548782,0.26356074,0.27137622,0.28623822,0.29923168,0.30241346,0.29278612,0.27591634,0.26280358,0.26578787,0.29211542,0.3388383,0.3936334,0.44066158,0.46922913,0.47562423,0.4605359,0.42611238,0.37715483,0.3228635,0.27362505,0.23565418,0.20942913,0.19458503,0.19554394,0.21924047,0.26727387,0.32930145,0.38730708,0.42589906,0.44002685,0.43341932,0.4125707,0.3835814,0.35241637,0.32488075,0.30400252,0.28928712,0.27915597,0.2753754,0.28322434,0.30738112,0.34596446,0.38914934,0.4240701,0.441636,0.43983352,0.42073205,0.38759863,0.34405228,0.29605666,0.2504635,0.21260428,0.18497916,0.17023307,0.17387675,0.20158501,0.25344184,0.31912556,0.38272405,0.4302611,0.4574525,0.4683422,0.4712697,0.47297135,0.47658956,0.4812721,0.48254415,0.47278866,0.44156894,0.38153985,0.29444408,0.19625503,0.108568884,0.047829587,0.015614692,0.0034627307,0.00043722827,0.00011157451,8.904206E-05,7.240526E-05,5.7987218E-05,4.4533317E-05,3.3880275E-05,2.8912538E-05]