[0.28902495,0.32667717,0.39397272,0.44814634,0.4614706,0.4370346,0.39597544,0.36257246,0.35265517,0.37023354,0.40537426,0.4386977,0.45190492,0.43782064,0.40316057,0.36306706,0.3354493,0.33258164,0.3567146,0.3947514,0.42712653,0.43654618,0.42004928,0.3855083,0.34722182,0.31583342,0.2947156,0.27776778,0.25712183,0.23384742,0.22502762,0.25073305,0.31527242,0.3946071,0.4540644,0.4699771,0.4448315,0.39573824,0.34064803,0.28877372,0.24402906,0.2094058,0.18970084,0.18638705,0.19377695,0.19708908,0.18350817,0.15023254,0.108614855,0.07539544,0.0664053,0.09290302,0.15778445,0.25090632,0.34627834,0.4151791,0.4398303,0.4242394,0.3863425,0.3486581,0.32670295,0.32465565,0.3338375,0.34084293,0.34003815,0.34140703,0.36058536,0.40220594,0.44950613,0.47781947,0.4713308,0.43411842,0.38041362,0.32436252,0.27290508,0.22965913,0.1981002,0.18264176,0.1828145,0.1900022,0.18871208,0.1682721,0.1297536,0.087575644,0.059926968,0.06385609,0.1083022,0.19069906,0.29122615,0.38017884,0.4316539,0.43797672,0.40990195,0.36701742,0.32741097,0.29982018,0.28246883,0.26567575,0.24513854,0.23199086,0.25018668,0.31548885,0.41655597,0.5171749,0.57996297,0.5885723,0.55183446,0.48987958,0.42067754,0.35433567,0.29676956,0.25319532,0.22742759,0.21714002,0.21174991,0.2007892,0.18716021,0.19292897,0.24240814,0.3389139,0.45190907,0.53855234,0.56985575,0.5491325,0.49693426,0.43500254,0.37324384,0.31719315,0.27422693,0.2580932,0.27999365,0.33943108,0.41741142,0.48592964,0.5217294,0.5189112,0.48842955,0.45100304,0.42700282,0.42677227,0.44512406,0.46442768,0.46603498,0.44251695,0.39963755,0.35124293,0.310004,0.28179064,0.26264116,0.241063,0.2066453,0.15804586,0.105311,0.0638103,0.04827176,0.07025218,0.13299227,0.22632967,0.32315278,0.39320818,0.4179015,0.4014775,0.3621831,0.32126114,0.29126513,0.27372694,0.26005307,0.24140464,0.2197227,0.21292071,0.24025004,0.30410844,0.37996912,0.43499574,0.4479704,0.4225479,0.37494978,0.32191077,0.27162114,0.22810523,0.19494511,0.17756087,0.1769983,0.1860226,0.18839343,0.17130853,0.13337593,0.08806159,0.05385405,0.048398077,0.083141066,0.15898457,0.26058576,0.3577863,0.42096564,0.43645105,0.41292763,0.37115166,0.3330442,0.31186083,0.3096451,0.31679645,0.3213888,0.32010052,0.3238962,0.3463335,0.3886224,0.43317616,0.457494,0.4491997,0.41320527,0.36252567,0.3092469,0.2597992,0.21837841,0.18965769,0.17789494,0.1813354,0.18916644,0.18551798,0.16093273,0.1189839,0.07526774,0.04809988,0.053794492,0.10062375,0.18502839,0.2859503,0.37316254,0.42146063,0.42502275,0.39591935,0.35413647,0.31686434,0.29162946,0.2754972,0.25864565,0.23786545,0.22597013,0.24715108,0.3154482,0.41627017,0.5123207,0.5674112,0.5690763,0.528467,0.46628794,0.3985443,0.33387026,0.27774003,0.2363656,0.21386969,0.20714067,0.20417644,0.19470167,0.18337096,0.19293278,0.24574773,0.3408309,0.4467353,0.5226733,0.54457945,0.5171806,0.4611942,0.39712057,0.3360469,0.28446138,0.25051048,0.24612011,0.2794151,0.34582984,0.42413402,0.48662916,0.5126801,0.4991312,0.45568216,0.39552042,0.3269638,0.25445932,0.18276455,0.1189971,0.06978139,0.037574284,0.02210994,0.025258645,0.05591607,0.121980034,0.2201829,0.32599878,0.407941,0.44309112,0.43327436,0.3950118,0.34911808,0.30680665,0.27098832,0.23648725,0.2003543,0.16764188,0.15826027,0.19086319,0.2683648,0.3639852,0.44222996,0.47667578,0.46797308,0.43191633,0.39281666,0.3715061,0.3814504,0.41856572,0.46207353,0.48596513,0.4765136,0.43790492,0.38468447,0.32961914,0.27934286,0.23692328,0.20598437,0.19071992,0.1903299,0.1959898,0.1923021,0.16912107,0.1279217,0.083153255,0.052478034,0.052061122,0.09094998,0.16818671,0.2668881,0.35911253,0.41807234,0.43313298,0.41231027,0.37528118,0.3428965,0.32810757,0.3316576,0.34189835,0.34688762,0.34568962,0.3520178,0.378836,0.42340413,0.4649577,0.48131678,0.46397611,0.4211476,0.3671325,0.31309828,0.26455566,0.22493286,0.19849594,0.18823878,0.19109584,0.19534428,0.18641227,0.15732963,0.11401641,0.072428785,0.0499053,0.061779946,0.11529833,0.205526,0.3092079,0.3953106,0.4397126,0.43933997,0.40838632,0.36735997,0.332149,0.30819744,0.29086897,0.27094087,0.24762958,0.23691577,0.26310095,0.33777928,0.44245315,0.53902197,0.5929051,0.5945386,0.5554946,0.49555492,0.4291859,0.3651954,0.309467,0.26853308,0.2450527,0.23447366,0.22473864,0.20916492,0.19732851,0.21413834,0.27827856,0.381586,0.48789892,0.5575936,0.57238823,0.5426613,0.49104357,0.43571082,0.38323674,0.3366144,0.30304864,0.29499003,0.321689,0.37921438,0.44962546,0.50859743,0.5389838,0.53660244,0.51177514,0.4824903,0.46641824,0.47083297,0.4877151,0.500504,0.49414954,0.46613827,0.42333937,0.37813488,0.33948562,0.31015673,0.28454217,0.2526139,0.20840184,0.15509638,0.10491977,0.07148401,0.06642199,0.0974187,0.16506399,0.25796095,0.35115704,0.41872987,0.44543597,0.4358203,0.40514898,0.37175348,0.34535655,0.3265597,0.3073117,0.28249913,0.2578602,0.25217822,0.28080013,0.34142017,0.4086065,0.4539385,0.4618652,0.43916085,0.40054926,0.35951653,0.32100952,0.28773394,0.26229262,0.24791865,0.24274522,0.23801708,0.22169101,0.1882708,0.14351447,0.10193511,0.07875053,0.08626127,0.1311732,0.21074457,0.30811787,0.3962053,0.4518566,0.46743342,0.45313743,0.42609057,0.40280643,0.39112583,0.39070705,0.39279592,0.39026168,0.38487673,0.38867176,0.41154745,0.44945207,0.48491812,0.50058275,0.49130353,0.4645959,0.4313204,0.39854965,0.3682853,0.34140277,0.3196525,0.30402634,0.29087818,0.2713505,0.23725681,0.18870874,0.13560829,0.09302992,0.074375816,0.09100062,0.14723164,0.23771441,0.34062567,0.4295684,0.48428735,0.5036438,0.49839148,0.48297718,0.46587625,0.44904777,0.42966923,0.40533265,0.37958863,0.3666807,0.38400862,0.44061884,0.5230457,0.60431486,0.658681,0.68042904,0.67827153,0.6646784,0.6436799,0.6146538,0.5772273,0.5345271,0.48805928,0.43552205,0.37397137,0.30958715,0.26291358,0.2601056,0.3137045,0.40803543,0.50684315,0.5778951,0.6120786,0.6229541,0.62730235,0.6323757,0.63348335,0.62535334,0.6086258,0.59049624,0.57933664,0.57928246,0.59060335,0.60967135,0.6319288,0.65102583,0.66279095,0.6680158,0.6735218,0.6864893,0.70565027,0.72060174,0.71708465,0.69085234,0.6486593,0.6076259,0.5791001,0.568572,0.5689575,0.57443297,0.576886,0.5761774,0.5710873,0.5653215,0.55984306,0.5573588,0.5578787,0.56119853,0.56622726,0.5719507,0.578747,0.58576035,0.5925407,0.59598917,0.59575677,0.59103507,0.5846216,0.5757547,0.56455904,0.54847264,0.53007764,0.5134602,0.5052846,0.5076327,0.51793337,0.5296481,0.53702164,0.5381753,0.5349775,0.5310622,0.52914596,0.52992374,0.53241396,0.5346228,0.5349434,0.5327874,0.52907366,0.5254008,0.5230236,0.5222697,0.5228642,0.5242369,0.52596396,0.52743435,0.52822024,0.5278125,0.52607507,0.52322847,0.5198217,0.5165003,0.5136876,0.5117372,0.51080436,0.51093125,0.5119235,0.5135898,0.5157085,0.518333,0.5214038,0.5246947,0.5273405,0.5284919,0.5279186,0.52605003,0.5234926,0.5203708,0.5168939,0.5133998,0.5103641,0.5081921,0.5072486,0.5080436,0.5104813,0.5143135,0.5192318,0.52572274,0.53348374,0.54143816,0.54725343,0.5497034,0.5482514,0.5438104,0.5373742,0.53057915,0.5248034,0.52101284,0.51937217,0.5195751,0.5210425,0.5231094,0.52520007,0.5272142,0.5296286,0.5327588,0.53657037,0.53998595,0.5421984,0.5422825,0.54033446,0.536561,0.5320117,0.52752185,0.5237076,0.5203448,0.5172513,0.51458746,0.5129436,0.5127017,0.51368755,0.51547074,0.51731676,0.51878333,0.51936835,0.519031,0.5178121,0.51654595,0.51665854,0.51984054,0.52604294,0.532871,0.53613883,0.53322273,0.5246727,0.51413375,0.50553304,0.50123626,0.50137997,0.5044896,0.5080321,0.5099856,0.5098981,0.51015574,0.5138816,0.5231499,0.536402,0.5501608,0.5614891,0.5700793,0.576924,0.5817701,0.58421665,0.58449966,0.5848344,0.58555645,0.58685994,0.5884099,0.592206,0.59802276,0.6049437,0.6108341,0.6163992,0.6214916,0.6260717,0.6284426,0.6295929,0.62921375,0.6270235,0.6189001,0.60366064,0.5820231,0.5610194,0.54707456,0.54471004,0.55170536,0.56292605,0.5730409,0.57970756,0.5834464,0.585917,0.58879375,0.59231216,0.59595925,0.5987362,0.6003851,0.60100454,0.6012004,0.6014939,0.60241205,0.6040159,0.6060033,0.60770446,0.6084146,0.60761094,0.6053057,0.602119,0.59904385,0.5968599,0.59582454,0.5956921,0.5960736,0.5967765,0.5979165,0.59984165,0.60282046,0.606879,0.61159277,0.61629206,0.62019664,0.62295216,0.6245082,0.6251152,0.62482244,0.6236241,0.62147504,0.6186394,0.61561704,0.61305636,0.61122996,0.61004823,0.6089854,0.60768604,0.605946,0.60402966,0.6024695,0.6019075,0.6026434,0.6042171,0.60578054,0.60646176,0.6062772,0.60560566,0.60515565,0.6047691,0.6043539,0.60366434,0.6034966,0.60440606,0.60683644,0.61026937,0.61411,0.6178343,0.62134963,0.62468976,0.62754893,0.6290888,0.6281248,0.6241011,0.6176558,0.61067086,0.60519457,0.6024849,0.6026611,0.6048136,0.6076672,0.6098573,0.61052555,0.60926217,0.6058583,0.60061616,0.59437513,0.5888689,0.5853097,0.5843077,0.58541495,0.58827144,0.59243363,0.59767175,0.6032987,0.60752064,0.6078444,0.6023836,0.5923395,0.581248,0.573365,0.5712803,0.5757561,0.5854899,0.5957795,0.6009423,0.5967825,0.5866286,0.5762476,0.5717941,0.57242924,0.57574314,0.5778916,0.5781105,0.5762501,0.5729065,0.56912297,0.56531984,0.5628449,0.5613734,0.56207514,0.56419474,0.56885785,0.5750075,0.5838294,0.59403425,0.6059752,0.6161699,0.62334865,0.6239229,0.61925155,0.6081224,0.59282064,0.571093,0.5456977,0.5188138,0.49875036,0.4894726,0.49228707,0.5012644,0.51067704,0.51637423,0.5185227,0.51899034,0.51982504,0.52191734,0.5248232,0.52764493,0.5292923,0.52932066,0.5275719,0.52440554,0.52063894,0.5173058,0.5157284,0.5162316,0.5184725,0.52119356,0.52365845,0.5257547,0.5278011,0.529804,0.531436,0.5322377,0.53222173,0.5313836,0.53006387,0.5286002,0.5274256,0.526771,0.52622896,0.5257677,0.5251546,0.5243884,0.52259135,0.5193541,0.51518387,0.51165193,0.50994843,0.51016074,0.5114198,0.5128173,0.5136278,0.513799,0.5137548,0.5141575,0.51503533,0.5158803,0.5165579,0.5178546,0.5206215,0.5245382,0.5281679,0.53029937,0.5311125,0.5315884,0.5324876,0.5331833,0.532623,0.5302594,0.52701926,0.5244088,0.52336144,0.52364385,0.5244827,0.5252605,0.5261596,0.52722293,0.52837324,0.52886647,0.52862746,0.5282923,0.52849364,0.52895373,0.5281699,0.5254262,0.5211207,0.51681024,0.5135713,0.5117049,0.51077324,0.5100257,0.5090225,0.5079164,0.50746274,0.50788826,0.5090151,0.5102779,0.5120933,0.5143234,0.51679444,0.51906353,0.52312726,0.5317503,0.54539204,0.5596939,0.56786543,0.56671,0.5576423,0.5453151,0.5329466,0.52293056,0.5155907,0.50965863,0.5017542,0.490085,0.47685692,0.4668294,0.46315464,0.463905,0.4649996,0.46349594,0.46069708,0.45900902,0.4591943,0.45932806,0.4583664,0.45752588,0.45938396,0.46361503,0.46810964,0.4699475,0.4695489,0.46860465,0.4692222,0.4704473,0.46902612,0.46131924,0.4463069,0.42615023,0.40487716,0.38646162,0.3749328,0.37123415,0.37342766,0.37483737,0.37169695,0.36299422,0.3530936,0.3451383,0.34284368,0.34746227,0.3586278,0.3715919,0.38071373,0.38205513,0.37562528,0.3633565,0.3485855,0.33537778,0.32684535,0.32316658,0.32091844,0.3179051,0.31327757,0.30825138,0.30231178,0.2968463,0.29493025,0.30002788,0.31161836,0.32515907,0.3364762,0.34312293,0.34446403,0.34007564,0.33165514,0.32258776,0.3159964,0.31255448,0.3119878,0.31365523,0.31663606,0.3178955,0.31569567,0.31127623,0.30884317,0.3108782,0.31627047,0.32232866,0.32665768,0.32819295,0.32621467,0.32240352,0.32053256,0.3233547,0.3294066,0.3336154,0.33362862,0.3307134,0.3283118,0.3275515,0.32900357,0.33347377,0.34136024,0.3501635,0.35600457,0.3560399,0.35063207,0.34102,0.33046457,0.32224187,0.31961086,0.3210933,0.32200238,0.3166499,0.30209666,0.27718368,0.24204509,0.1988893,0.15422264,0.11669731,0.09322674,0.08489569,0.08822701,0.09754941,0.10831982,0.11808729,0.12657273,0.13375737,0.13745362,0.13340521,0.118053325,0.09279101,0.06355924,0.037681967,0.019248512,0.008525476,0.003298033,0.0011727413,0.00044623495,0.0002178281,0.00012745436,0.00010788775,0.0005195761,0.0029413996,0.011366755,0.033137333,0.077720515,0.15365337,0.26285943,0.3967956,0.53589535,0.65662026,0.74119854,0.7845568,0.79353744,0.7780464,0.7441439,0.6890301,0.6082402,0.5017022,0.3823206,0.26972362,0.18241781,0.12915333,0.11273912,0.13807245,0.21123673,0.3320386,0.48058715,0.6251133,0.7329336,0.79025793,0.7996753,0.7760102,0.73355275,0.68499106,0.63941354,0.60331357,0.5793595,0.56883603,0.5740044,0.59781885,0.63828796,0.68594855,0.72552365,0.7433302,0.73182315,0.6943453,0.6447672,0.6019475,0.5776623,0.56765944,0.55406547,0.5163159,0.44442418,0.34464705,0.23723681,0.1459329,0.0889675,0.07702437,0.11659273,0.20655657,0.33053312,0.4543524,0.5464361,0.596163,0.6206281,0.6389176,0.6567712,0.6628885,0.6501991,0.622593,0.5926139,0.56921715,0.55843264,0.5657785,0.59666306,0.6480429,0.7065823,0.7555413,0.7834491,0.78716534,0.7674616,0.7300916,0.6845513,0.64196616,0.6052155,0.56541735,0.50739604,0.42231748,0.31663972,0.20936878,0.12276631,0.07359744,0.073453955,0.12812112,0.23225439,0.36022,0.47392598,0.5459786,0.5792956,0.5986798,0.62304664,0.6493433,0.6623456,0.6541375,0.6307112,0.6030256,0.5807455,0.57165176,0.5832093,0.6169753,0.6643557,0.70927376,0.73665196,0.73712415,0.7103849,0.6649196,0.6189881,0.5884664,0.576375,0.5669098,0.537746,0.47606853,0.3895304,0.30739176,0.26634356,0.29203975,0.37870002,0.493446,0.59536886,0.66177344,0.69196916,0.6961024,0.6826028,0.65754193,0.63013643,0.6093357,0.6001597,0.6015374,0.6148372,0.64290357,0.68533415,0.7314501,0.7665828,0.7818015,0.77954054,0.7692043,0.76055866,0.75774,0.7593344,0.7597433,0.75654644,0.75066066,0.7443597,0.7307952,0.6954381,0.6224877,0.5110864,0.37740168,0.2487549,0.14715783,0.08456162,0.06590735,0.09777739,0.1836605,0.3141125,0.45985255,0.5873762,0.676033,0.7280615,0.753697,0.76026607,0.74776554,0.7189211,0.6814744,0.64553624,0.6179271,0.60363084,0.60814244,0.6358245,0.6827028,0.7347262,0.77486134,0.79392236,0.7935111,0.78002113,0.75913733,0.73371094,0.7059856,0.6742315,0.63201696,0.5679886,0.47575894,0.36047232,0.24114023,0.14112578,0.07958587,0.068685114,0.115107805,0.21604164,0.3505657,0.48168626,0.57639176,0.62644815,0.6500466,0.6679363,0.6857479,0.6927142,0.68105656,0.6540811,0.6243728,0.6020667,0.59370255,0.6037028,0.6350538,0.6829303,0.73369193,0.7716503,0.78878146,0.78580856,0.76800585,0.74101204,0.71101516,0.68196064,0.65162116,0.60950917,0.5427167,0.4462072,0.329448,0.21369976,0.12218818,0.07198396,0.07504139,0.13660242,0.25101674,0.39045247,0.5161893,0.5981032,0.63680893,0.65337723,0.66746837,0.68059945,0.6838016,0.6732326,0.65438837,0.6357978,0.6222606,0.6184409,0.63061583,0.6628638,0.70837015,0.7517838,0.77846485,0.78438014,0.7739687,0.75393945,0.7283933,0.6996744,0.6683641,0.6311031,0.57868224,0.50334746,0.40944263,0.3230537,0.28048038,0.3080763,0.3980372,0.5140734,0.61292285,0.67487025,0.70479053,0.7187571,0.7237213,0.71946985,0.70464534,0.6848771,0.6680022,0.66267157,0.67395395,0.7025049,0.7404513,0.7748368,0.7938795,0.79483074,0.7838485,0.77104425,0.7623196,0.7524689,0.7245843,0.65795696,0.545241,0.40369955,0.2737545,0.20126699,0.21556163,0.31476673,0.46533653,0.6192786,0.7365363,0.80025387,0.81529564,0.79639214,0.7612111,0.72514313,0.699184,0.68064815,0.6582048,0.6253333,0.5962716,0.59555304,0.6327419,0.68886614,0.7322812,0.7474293,0.7413719,0.73186255,0.7286174,0.7331682,0.7422907,0.75397164,0.76496965,0.7704678,0.76259685,0.73514175,0.68925315,0.63776046,0.5977293,0.57699394,0.56637114,0.5449464,0.4949577,0.411714,0.30682588,0.2008707,0.11554769,0.06692607,0.06695741,0.12223387,0.22809668,0.358847,0.47583032,0.55050725,0.58516955,0.60416776,0.6267838,0.6497174,0.65824455,0.64548963,0.61991245,0.59332114,0.57380646,0.5662923,0.5782118,0.6145376,0.669559,0.72674257,0.76827306,0.7846596,0.77559286,0.7460148,0.7046445,0.66159505,0.6240031,0.58961016,0.5462595,0.48052612,0.38758206,0.2787213,0.174379,0.0964109,0.059156682,0.07398635,0.14483066,0.2634008,0.3989334,0.5148479,0.58884287,0.627839,0.6507103,0.6682921,0.6767688,0.6697214,0.64888614,0.62157255,0.59479284,0.57414603,0.56749195,0.5833359,0.62218064,0.67306274,0.71747756,0.7415102,0.7379415,0.70979375,0.66587716,0.62309724,0.59372073,0.57873195,0.56232554,0.524444,0.45544934,0.36663243,0.29066315,0.2644987,0.30910942,0.41139427,0.5334653,0.6359653,0.70054626,0.73064274,0.73602265,0.72381276,0.69769764,0.6662846,0.6391232,0.6245616,0.62509996,0.64193153,0.67375135,0.7149661,0.7541459,0.7788403,0.783709,0.77359456,0.75998956,0.75232583,0.75209975,0.7547485,0.7550605,0.7533063,0.75078726,0.74527484,0.7244536,0.67347217,0.5833299,0.46151885,0.32873842,0.20968454,0.121776976,0.07339844,0.07036001,0.11909876,0.22057623,0.35806355,0.49843106,0.6088786,0.6769273,0.71133834,0.7272946,0.7305078,0.71987605,0.69500774,0.66450465,0.6363361,0.6165044,0.6066515,0.61453897,0.6468279,0.7015106,0.7595485,0.7969758,0.79866165,0.76615876,0.71317,0.6577663,0.61559767,0.59198326,0.57946056,0.55982894,0.515428,0.43821192,0.33600867,0.2284736,0.1390955,0.08686468,0.08605749,0.14416812,0.25699022,0.3982924,0.52827865,0.61421984,0.6530531,0.6661548,0.6761246,0.6874092,0.6902074,0.6770956,0.65162945,0.6235134,0.60203665,0.5956437,0.6123871,0.6543381,0.71105456,0.7618877,0.7869838,0.77621084,0.7340989,0.6761882,0.6248191,0.5949316,0.5864505,0.5821831,0.5596558,0.5034309,0.41254988,0.30219746,0.19526756,0.11524852,0.07806929,0.09565345,0.17199707,0.29866967,0.44565526,0.5733147,0.65329075,0.6858747,0.6927189,0.6931967,0.69181925,0.68153685,0.66062665,0.63434464,0.61115164,0.5959733,0.59553933,0.61728495,0.6633709,0.7209572,0.76753265,0.78392774,0.7632666,0.7141817,0.6532878,0.6031136,0.5755984,0.5684714,0.56112546,0.5317352,0.46951458,0.38564768,0.31225798,0.28799692,0.33608308,0.4445522,0.5720893,0.67326707,0.7244963,0.728853,0.7034836,0.667017,0.63485163,0.616983,0.61597246,0.62872726,0.65245676,0.68739754,0.72987443,0.7686042,0.78933066,0.7875133,0.7716506,0.7563686,0.7520988,0.761916,0.78278905,0.8083096,0.82749945,0.82729346,0.79657334,0.73680764,0.66776603,0.6208849,0.6189928,0.65626645,0.70391154,0.730444,0.7242233,0.68931514,0.6394784,0.59125423,0.5676264,0.58534026,0.6428775,0.7152989,0.7728765,0.79754305,0.7900264,0.75904506,0.71585864,0.66836077,0.6256106,0.5924085,0.5737369,0.57188666,0.591216,0.6302569,0.6803813,0.7261389,0.75521046,0.7615621,0.74605733,0.71297413,0.6721782,0.63464093,0.60662335,0.5821093,0.5459644,0.4842793,0.39451137,0.2897639,0.19067776,0.1174244,0.08276192,0.09710348,0.16482253,0.27847776,0.40792528,0.5153368,0.5776866,0.6038292,0.61877257,0.6371475,0.6526592,0.65089256,0.6290487,0.5969384,0.5674863,0.5490978,0.5482672,0.57173616,0.61950827,0.67984295,0.7322121,0.76120347,0.7608855,0.73590136,0.69435483,0.64957124,0.61241883,0.5868512,0.5628461,0.5233837,0.45599926,0.362648,0.26046613,0.17076482,0.110945456,0.091011725,0.11954624,0.19939423,0.31975606,0.44916877,0.55368024,0.61635303,0.64826345,0.667391,0.6823294,0.68651634,0.6745825,0.64959186,0.6210262,0.596554,0.5811482,0.5804344,0.59935117,0.6370023,0.68346983,0.72499084,0.75056547,0.7548341,0.73783666,0.70499784,0.6673427,0.6348419,0.6085987,0.57702094,0.5243239,0.44452226,0.35226974,0.28222755,0.27053845,0.3320857,0.4453564,0.5675597,0.66095716,0.714379,0.73602396,0.7370713,0.7221419,0.6944712,0.6620702,0.63458204,0.61921453,0.6190738,0.6365718,0.67061543,0.71396536,0.75316644,0.77626634,0.7797292,0.7701965,0.75809747,0.7507356,0.7471635,0.74430466,0.7402017,0.7384574,0.737916,0.7311506,0.70222545,0.6393292,0.5403939,0.41866246,0.2958179,0.19283094,0.12195787,0.087827645,0.09657196,0.15506344,0.26361862,0.400417,0.53196865,0.6281089,0.6847982,0.7123384,0.7244737,0.72233826,0.70619965,0.6790633,0.65030074,0.62565094,0.6084764,0.6036039,0.6191096,0.6582013,0.7104535,0.7572014,0.7835621,0.7878089,0.7762649,0.75610274,0.731229,0.7044632,0.67627764,0.6428874,0.5938065,0.5193057,0.41760984,0.30195394,0.19334061,0.11341834,0.07680538,0.094973825,0.17089199,0.29434803,0.43203363,0.5471706,0.61636037,0.64904267,0.6648235,0.6789262,0.6863833,0.68055516,0.65997034,0.6333278,0.60874945,0.59346104,0.5954988,0.62225944,0.6723557,0.72957915,0.77374125,0.79254276,0.7893622,0.7724417,0.7499247,0.724734,0.6996336,0.6723995,0.63617873,0.57893926,0.4939635,0.3858409,0.27242258,0.1752166,0.111738,0.092737816,0.12629806,0.21367449,0.34048975,0.4713155,0.5687909,0.6158889,0.6285432,0.632662,0.64343697,0.654505,0.65628844,0.6465532,0.6325649,0.62077814,0.61521345,0.6200238,0.64016026,0.6757267,0.7181038,0.75500506,0.77684736,0.7804754,0.76565844,0.7368031,0.7011457,0.66792184,0.6381915,0.6041735,0.5524792,0.47892442,0.39672425,0.33626533,0.32871974,0.38404027,0.48177958,0.5831143,0.65852994,0.70152396,0.7225321,0.73079634,0.72810084,0.7139062,0.6920614,0.67037505,0.6574506,0.66018707,0.68180275,0.7175062,0.7550916,0.7799576,0.7851153,0.7737344,0.7572906,0.74562025,0.74040866,0.72828,0.6882148,0.6029627,0.47864297,0.3457209,0.25013953,0.22762997,0.28901365,0.4129347,0.5595586,0.6869114,0.7698133,0.802033,0.7941411,0.7621338,0.7254599,0.69730324,0.6814162,0.66661316,0.6417238,0.609454,0.5910499,0.60576797,0.6506257,0.7015174,0.7344878,0.7433011,0.7364645,0.7251999,0.71763974,0.71979135,0.73460793,0.75848657,0.78124684,0.794166,0.7920261,0.7746338,0.7420841,0.6997865,0.6561332,0.6184647,0.5840237,0.53971356,0.47238144,0.37907705,0.27308053,0.17482142,0.10480607,0.07712781,0.1031175,0.18465887,0.30704203,0.43357658,0.5278814,0.5759,0.5966463,0.61473465,0.63890356,0.6553517,0.6519558,0.62946653,0.60111785,0.5772926,0.56538755,0.57085747,0.59947485,0.64746594,0.70047975,0.7389064,0.7499406,0.7309812,0.6898745,0.64089054,0.6010452,0.5786306,0.5680754,0.55004984,0.506474,0.43037236,0.33202282,0.23116232,0.14839122,0.0980714,0.09061413,0.13377532,0.22676502,0.34976256,0.46714297,0.54940534,0.5932767,0.61829823,0.6415333,0.66200143,0.6676485,0.653502,0.62719417,0.6000008,0.57911354,0.56875473,0.57434076,0.6009571,0.64627886,0.70009035,0.7472303,0.7764712,0.78098106,0.76191396,0.7252745,0.68324375,0.6445255,0.6102393,0.56885034,0.50763613,0.42433682,0.3388959,0.28635904,0.2966502,0.37281242,0.48539272,0.59336466,0.667489,0.70409846,0.7122093,0.7020907,0.67939156,0.651583,0.62763506,0.61379594,0.6118726,0.6225667,0.6482834,0.6873596,0.73093647,0.765014,0.780657,0.7783697,0.76676774,0.755276,0.7477866,0.74156934,0.7321443,0.72071666,0.71374035,0.7139191,0.7110267,0.6847605,0.618283,0.5122806,0.38560787,0.26540866,0.17176439,0.11386358,0.09417438,0.1188455,0.1930006,0.31197146,0.4497083,0.57461804,0.66334563,0.7167628,0.7430082,0.7511105,0.7411723,0.7171039,0.6845715,0.65168387,0.62241817,0.6013859,0.59686303,0.618444,0.66691786,0.727499,0.7753795,0.79060316,0.76697344,0.7161951,0.65822107,0.6159577,0.598395,0.5990648,0.59554523,0.5661621,0.4996022,0.40158117,0.29136416,0.19282155,0.1266702,0.10628688,0.1399663,0.22811432,0.35606217,0.49185002,0.5985127,0.65736556,0.6756337,0.677341,0.67818636,0.679832,0.6735389,0.65643644,0.63175803,0.6076644,0.5924628,0.596354,0.62683994,0.6812234,0.74228805,0.78712434,0.7996947,0.77785444,0.73163325,0.6772728,0.63189,0.6030044,0.58576494,0.5631397,0.51920325,0.44612423,0.3505372,0.24906921,0.16289763,0.11048428,0.10622097,0.15847634,0.264313,0.40080324,0.5298348,0.61793727,0.6585868,0.67174864,0.6816793,0.6947966,0.7005765,0.6883557,0.6608637,0.6294696,0.6056419,0.5956475,0.6045946,0.63410044,0.67990273,0.7277375,0.7609871,0.76525134,0.7383875,0.68887156,0.6372936,0.6007621,0.5853214,0.5780902,0.5599324,0.51648897,0.44983247,0.37964845,0.3371737,0.3497063,0.42192754,0.52931404,0.63223386,0.69883966,0.72039074,0.70496756,0.66998535,0.6314679,0.60456306,0.59400576,0.5986612,0.6128183,0.63787895,0.67479366,0.7207369,0.76230353,0.78736275,0.7899988,0.77756506,0.7612488,0.7510574,0.7442579,0.7268817,0.67949605,0.59390825,0.48205173,0.37130558,0.2870906,0.23846291,0.21819095,0.2127326,0.2121223,0.21194081,0.21142633,0.21050286,0.20948893,0.20846398,0.20777632,0.20731233,0.20695908,0.20636334,0.20552386,0.20454215,0.20372188,0.20308028,0.20259015,0.20203304,0.20132835,0.20070301,0.20097053,0.20391841,0.21013576,0.21839191,0.22427379,0.22478803,0.21938907,0.21159703,0.20463325,0.20059754,0.19926201,0.19979101,0.20086388,0.20151515,0.20133017,0.20064001,0.1999719,0.19959469,0.1994524,0.19942003,0.19947232,0.19961566,0.1997871,0.1998182,0.19962122,0.19924718,0.19894384,0.19889326,0.19914925,0.19956689,0.19999762,0.2002942,0.20036887,0.20014034,0.19964927,0.19909085,0.19867964,0.1985575,0.19863273,0.19879566,0.19890268,0.1988579,0.198638,0.19830655,0.19803762,0.19790548,0.19782962,0.19780451,0.19777554,0.1978789,0.19792038,0.19792008,0.19785748,0.19795506,0.19825794,0.19859356,0.1988051,0.19875638,0.19856519,0.1982963,0.19807035,0.19803704,0.19824106,0.1986627,0.1990084,0.19916914,0.19918722,0.19928674,0.19954836,0.19982357,0.20004468,0.20029652,0.20077701,0.20143421,0.20199238,0.20220043,0.20205861,0.20162751,0.20087081,0.19960743,0.1980102,0.19650964,0.19562699,0.19540079,0.19564474,0.19612877,0.19688511,0.19788186,0.1989646,0.1998446,0.20037837,0.20068245,0.20099086,0.20142733,0.20181364,0.2018901,0.2015798,0.2011986,0.20147581,0.20351373,0.20825805,0.21517849,0.22168303,0.22405177,0.22056891,0.21258216,0.20409776,0.19844556,0.19724615,0.19876333,0.1997072,0.19609517,0.1872034,0.17517166,0.1643542,0.15739684,0.15501902,0.15624392,0.15984416,0.16451968,0.16894232,0.17216706,0.17390198,0.17446494,0.17449145,0.17441821,0.17452936,0.1747473,0.17495187,0.17503692,0.17499267,0.17499977,0.17508765,0.17535798,0.17560883,0.17579581,0.17581092,0.1758275,0.17639698,0.17839609,0.1827277,0.18856794,0.19357747,0.19433498,0.18992297,0.18194525,0.17427088,0.16961682,0.16922669,0.17244299,0.17786944,0.18350454,0.1876121,0.18940245,0.18945508,0.18908416,0.189448,0.19080715,0.19268447,0.19428265,0.19514972,0.19533753,0.1952744,0.19537522,0.1957434,0.19622833,0.19652553,0.1964892,0.19610594,0.1955585,0.19500065,0.19455178,0.19420119,0.19390285,0.19362448,0.19342941,0.19343106,0.19366948,0.1940337,0.19434421,0.19451608,0.19463336,0.19483383,0.19510962,0.19527681,0.19512488,0.19467731,0.19416456,0.193843,0.19380037,0.19395797,0.19421105,0.19442785,0.19454198,0.19453055,0.1945319,0.1947474,0.19532971,0.196254,0.19726418,0.19804634,0.1983518,0.19821882,0.19784856,0.19756556,0.19753419,0.19781272,0.19825111,0.19879498,0.1994202,0.20023526,0.20112842,0.20186593,0.20212395,0.20191675,0.2015636,0.20155673,0.20202191,0.20260309,0.20267777,0.20195504,0.20074695,0.1997164,0.19937436,0.20013608,0.20243925,0.20694833,0.21268964,0.21700822,0.2158758,0.20820427,0.19612269,0.1844999,0.17654444,0.17346509,0.17437035,0.1784962,0.1851425,0.1941068,0.20405507,0.21246888,0.2157302,0.21225685,0.20350975,0.19363664,0.18653707,0.1848556,0.18982959,0.20090395,0.214731,0.22572552,0.2295184,0.22611718,0.21934335,0.2136754,0.21084322,0.21050972,0.2110397,0.21172418,0.2119981,0.21221505,0.21253346,0.21347237,0.21489613,0.21656801,0.21770252,0.2181228,0.21777092,0.21759947,0.2179801,0.21946649,0.22122423,0.22286336,0.22340529,0.22321795,0.22241251,0.2221574,0.22319607,0.22704166,0.23410654,0.2434609,0.2518843,0.25605774,0.25476053,0.24966238,0.24368052,0.23873974,0.23522322,0.23278552,0.2310332,0.229782,0.22875325,0.22785543,0.22717488,0.22692299,0.22707212,0.22725089,0.22699171,0.22616069,0.22507942,0.22425461,0.22395866,0.22416723,0.22472964,0.22565407,0.2268343,0.22812593,0.22908242,0.22957689,0.22962956,0.22948547,0.22922659,0.22882225,0.2284713,0.22844833,0.22895066,0.22973873,0.2303675,0.23072405,0.23086421,0.23109382,0.23134667,0.23165049,0.23200776,0.23250483,0.23310232,0.23353858,0.23377116,0.23393847,0.23429477,0.23480792,0.23512842,0.23515494,0.23510595,0.2355814,0.23694193,0.23916806,0.24193127,0.24468873,0.247046,0.24860157,0.24918695,0.2487691,0.247719,0.24666762,0.24628587,0.24680382,0.24808848,0.24962874,0.2509326,0.25145146,0.25099024,0.24980123,0.2485457,0.24781878,0.24776144,0.24817389,0.24874373,0.24931706,0.24990503,0.25066885,0.25180852,0.25323763,0.2546507,0.25551894,0.25565407,0.25516796,0.25454184,0.25421917,0.25438973,0.25484824,0.2552136,0.25519478,0.25499687,0.25493395,0.25559124,0.25793245,0.26383004,0.27500317,0.29031643,0.30525663,0.31377518,0.31356254,0.30652454,0.2972869,0.28897294,0.28308487,0.27933678,0.2763971,0.27178672,0.2639146,0.25358784,0.24373133,0.23726755,0.2353128,0.23770763,0.2432826,0.25064954,0.25797355,0.26379934,0.26768532,0.2699843,0.2717651,0.2737188,0.27660504,0.28047684,0.2850987,0.2897139,0.29370603,0.29692504,0.29925895,0.30063125,0.3005433,0.29922605,0.2972293,0.29587206,0.2961265,0.29905006,0.30463445,0.3117234,0.31732967,0.31880957,0.31534508,0.3092612,0.30399987,0.30248,0.30547312,0.31214547,0.32051587,0.32857382,0.3348191,0.33887324,0.3411144,0.34224793,0.3427278,0.34283328,0.3427167,0.34248245,0.3422476,0.34218863,0.34257865,0.34346995,0.34470084,0.3459644,0.34707674,0.34797248,0.34871694,0.34945223,0.35025844,0.35111532,0.3519541,0.35278323,0.3535801,0.35434934,0.3551673,0.35618874,0.35734248,0.35843635,0.35933492,0.3601435,0.36084828,0.3613988,0.36179337,0.36226872,0.36289033,0.36358964,0.36424017,0.36492932,0.36571553,0.3665886,0.36743864,0.36826357,0.36924902,0.37081763,0.373353,0.37684786,0.38076344,0.38440254,0.38730213,0.3893169,0.3903843,0.3903617,0.38918844,0.38712856,0.38487336,0.3830999,0.3820912,0.381549,0.3811389,0.38070282,0.38046435,0.3806312,0.38141274,0.38271514,0.38429222,0.38570154,0.38673162,0.38740328,0.38800392,0.3887109,0.38951507,0.3903009,0.39120224,0.39255586,0.394431,0.39574698,0.39452887,0.3887765,0.3784772,0.36567473,0.35390726,0.34590134,0.3432506,0.3459009,0.35335723,0.36435148,0.3778373,0.39170733,0.4027464,0.4064051,0.40016356,0.38591623,0.36964655,0.3578348,0.35495603,0.36341724,0.38439798,0.41584477,0.45329013,0.48959032,0.5213316,0.54597026,0.56541747,0.57906836,0.58943367,0.5959514,0.6003553,0.60079014,0.5974863,0.58999974,0.5807076,0.572103,0.56629324,0.5645004,0.5656324,0.5693259,0.5737013,0.57958394,0.5859268,0.5930815,0.5980988,0.5997467,0.5964005,0.58990353,0.5811226,0.5705169,0.55584073,0.5371423,0.5174034,0.50365496,0.5002274,0.5069821,0.51788974,0.527067,0.5308195,0.5297737,0.526499,0.52412933,0.52453524,0.52748346,0.53124887,0.5335161,0.5332189,0.5304597,0.52626103,0.5214719,0.51681805,0.5127956,0.5098851,0.5081187,0.5075128,0.50780845,0.5089056,0.5104576,0.5120757,0.51355237,0.51463264,0.5154793,0.51595944,0.51636094,0.5168164,0.517519,0.5183117,0.5187369,0.51875263,0.5185746,0.51872283,0.51924175,0.52004766,0.521111,0.5224664,0.5240299,0.5254819,0.5265787,0.5270133,0.5265627,0.5250594,0.52276444,0.51996475,0.517023,0.5141961,0.5120354,0.5113769,0.51294893,0.5169401,0.5221489,0.52663,0.52846676,0.5273189,0.524246,0.52097845,0.51872015,0.5178652,0.5181363,0.51911277,0.5203423,0.5213437,0.52161115,0.5209574,0.52015656,0.52041394,0.5226688,0.526575,0.53108424,0.5350824,0.53787977,0.5392771,0.5392688,0.53817695,0.53608507,0.53314924,0.5294732,0.5254981,0.5216989,0.51848,0.5161261,0.5144761,0.51321477,0.51180905,0.5103578,0.50902313,0.5080444,0.5072805,0.50668377,0.5071637,0.51017004,0.5175901,0.528285,0.5387253,0.54321384,0.53962916,0.5295768,0.5183323,0.5100904,0.5070656,0.50753474,0.5082527,0.5056053,0.5010764,0.49927273,0.5061314,0.52085775,0.5388546,0.5539139,0.56553596,0.57454157,0.582665,0.588372,0.5924162,0.5947874,0.5974443,0.5992386,0.60126454,0.60276395,0.605295,0.6073575,0.6094332,0.6096985,0.6090005,0.6065367,0.60396296,0.6005132,0.59707326,0.5927298,0.58789176,0.58029276,0.5691204,0.55559134,0.54501504,0.54203063,0.54728675,0.5574561,0.56811786,0.5770166,0.58400315,0.59053683,0.5977888,0.6059938,0.6140816,0.6206935,0.62485504,0.626683,0.62698907,0.62699157,0.62742853,0.62837845,0.62928087,0.6295464,0.62876624,0.6267733,0.62335086,0.61846036,0.6123183,0.6058729,0.60026306,0.59647363,0.59451014,0.59375167,0.593374,0.59306175,0.59299535,0.59355783,0.59495586,0.59718347,0.600138,0.60362726,0.60728693,0.61048937,0.61271924,0.6136864,0.61357045,0.6127253,0.61171603,0.61103106,0.611065,0.6118893,0.61346585,0.6155905,0.6181168,0.6208841,0.62389606,0.6272455,0.6307779,0.63389677,0.63551474,0.6347561,0.6314631,0.6265337,0.621294,0.6167076,0.61279744,0.60920995,0.6061039,0.6043839,0.6049602,0.6076901,0.6115977,0.6155234,0.6190918,0.62232405,0.6252571,0.6271922,0.6270895,0.6240986,0.6185574,0.6120545,0.60654974,0.60321045,0.60186934,0.6018204,0.60278416,0.60530156,0.6096182,0.61418205,0.6155502,0.6113086,0.6025679,0.593761,0.58853954,0.5876209,0.5893676,0.5923925,0.59626514,0.6009727,0.60624456,0.61118436,0.61393404,0.6121325,0.6046438,0.59329623,0.5821051,0.5751502,0.5742883,0.57923484,0.5866278,0.59154195,0.58899015,0.57914,0.56650376,0.5578406,0.55574757,0.5594976,0.56551766,0.5715203,0.5757797,0.57808566,0.57884413,0.57838804,0.5775287,0.5756531,0.5741641,0.5729316,0.5743025,0.5774236,0.58353215,0.5907143,0.5993402,0.6063382,0.6105444,0.609324,0.6040903,0.59566593,0.58594364,0.5734427,0.5580005,0.5402158,0.52485734,0.51538557,0.5137229,0.5170358,0.52208257,0.5252657,0.5253771,0.52250695,0.5185392,0.51553077,0.51453644,0.5151567,0.516351,0.51734537,0.517797,0.51744443,0.51638585,0.5151472,0.51439935,0.5144792,0.51506287,0.5159292,0.51687557,0.5181361,0.51976126,0.52187663,0.5242085,0.5264357,0.5280385,0.52890974,0.52878356,0.52771354,0.5257339,0.52361137,0.5218177,0.52050847,0.5191831,0.51787406,0.51676464,0.5161446,0.51550156,0.51441413,0.5126663,0.510791,0.50954604,0.5094487,0.51031405,0.51116925,0.51113653,0.5101346,0.5089632,0.5085656,0.5092639,0.51108986,0.5140597,0.51827484,0.52317816,0.5276591,0.53083676,0.53274566,0.53407747,0.53544027,0.53721744,0.539277,0.5409317,0.5409753,0.5391491,0.53633577,0.53379154,0.5316219,0.529171,0.52665144,0.524771,0.52429396,0.5243612,0.5244489,0.524175,0.52376384,0.52250534,0.5192023,0.51357555,0.5068266,0.50150657,0.49897495,0.49911848,0.5000748,0.5007107,0.5007149,0.50129014,0.50292486,0.5055037,0.50759006,0.5086062,0.50914806,0.51076394,0.5146286,0.52070504,0.52912444,0.5392242,0.54967713,0.55689555,0.5582426,0.5533317,0.54489547,0.5366003,0.53164214,0.5321515,0.53589803,0.5368143,0.52755755,0.5086986,0.48793176,0.47415802,0.4678874,0.46317032,0.45505488,0.44374856,0.4331539,0.42527142,0.42154303,0.42106524,0.4227263,0.42286158,0.4202832,0.4161134,0.41383484,0.41544256,0.42132437,0.43136728,0.44374892,0.4554083,0.46203008,0.46167174,0.45384368,0.4389085,0.4184322,0.39580762,0.37635827,0.3614073,0.3490219,0.33458567,0.31745827,0.2992002,0.28317377,0.27241978,0.27057406,0.27949724,0.2967491,0.3157355,0.33107325,0.34035158,0.343918,0.34061798,0.33083716,0.3170451,0.30478564,0.2978084,0.29710206,0.30059257,0.30511582,0.3073493,0.30606064,0.30307198,0.3018986,0.30447376,0.3095933,0.31506523,0.3192298,0.3217893,0.32206568,0.3202107,0.31750408,0.31597033,0.31636205,0.31737104,0.3181765,0.31838343,0.31814063,0.3158143,0.3110501,0.3054413,0.3028382,0.3057215,0.31444287,0.32675937,0.338653,0.34491673,0.34277764,0.3343085,0.32529846,0.32047233,0.32061216,0.3251454,0.33256993,0.34116712,0.34624282,0.3457669,0.34193763,0.3404982,0.34430626,0.3509189,0.35760164,0.36148074,0.36188877,0.35559592,0.343933,0.33081415,0.32274362,0.32023928,0.31871355,0.31169713,0.29504165,0.2674699,0.22955205,0.18529208,0.14210954,0.1085005,0.089611106,0.08508571,0.09066964,0.10088914,0.111675225,0.12114564,0.12926336,0.13563867,0.13750641,0.1305911,0.11237529,0.08558339,0.0567025,0.032514106,0.01604669,0.006887235,0.0025946929,0.0009408859,0.00038584214,0.00020769432,0.00012308061,0.00016454193,0.0009659834,0.0048469626,0.016719323,0.0448921,0.09852923,0.18526757,0.3037975,0.44304815,0.58046156,0.6940437,0.76764894,0.80008537,0.7980339,0.7720957,0.7261562,0.6584537,0.5653344,0.45188943,0.33380696,0.23134564,0.15848565,0.12033225,0.11920747,0.16072802,0.24980564,0.37968025,0.5264918,0.6580329,0.7491632,0.79216266,0.7937251,0.7673228,0.72540015,0.6791344,0.63654876,0.6038067,0.5827295,0.575757,0.5852129,0.6138901,0.657378,0.7051835,0.74335736,0.7612624,0.7537852,0.7224701,0.6775353,0.6335521,0.60154825,0.57878584,0.5500744,0.49803975,0.41587472,0.31307718,0.20986854,0.12799582,0.0831468,0.086536385,0.1439116,0.250002,0.3787117,0.49187228,0.5619686,0.5925286,0.60828424,0.6283076,0.648676,0.6540647,0.6373454,0.6073621,0.5777228,0.5584974,0.55574745,0.5746984,0.61628956,0.6708967,0.72203857,0.75431377,0.76070523,0.7415548,0.70339394,0.65891737,0.6212339,0.59575015,0.5734229,0.5369994,0.4724606,0.37889123,0.2707254,0.16947679,0.09591496,0.063133985,0.08172389,0.15534277,0.27597228,0.41311797,0.53072006,0.6058352,0.6446983,0.6651837,0.67936563,0.6849677,0.6768897,0.65595746,0.62809443,0.5998575,0.5773355,0.5693424,0.5844986,0.6238732,0.67670625,0.7253906,0.75630826,0.7629876,0.74655676,0.71212894,0.67091465,0.63419837,0.60617954,0.57782453,0.5321447,0.4592845,0.36791494,0.28953555,0.26123655,0.30470976,0.40721154,0.5307314,0.6352077,0.7018488,0.7333462,0.7399471,0.72845465,0.70298576,0.6708426,0.64115804,0.62198156,0.6177389,0.63214225,0.6651175,0.7101852,0.7529723,0.7793174,0.7836221,0.77219445,0.7575547,0.74895126,0.7465226,0.74543184,0.74190336,0.73965186,0.74001676,0.73885727,0.7192264,0.6664328,0.57301176,0.45019197,0.31872514,0.2026841,0.11760958,0.07156515,0.07032076,0.12062115,0.22332203,0.36150417,0.5022258,0.6130686,0.68189615,0.71707684,0.7333529,0.73613,0.7247636,0.6991889,0.66803664,0.63904023,0.6182713,0.6079352,0.6148955,0.64427954,0.6924289,0.74363786,0.7801601,0.79440385,0.78850657,0.7693891,0.74206346,0.71180606,0.6815813,0.6495981,0.6057656,0.53757846,0.44000158,0.3230221,0.20816152,0.11853853,0.07065052,0.07611623,0.13967492,0.25495526,0.39382052,0.51934636,0.60375714,0.64835364,0.67071676,0.6866336,0.695703,0.6909997,0.67094845,0.6427321,0.6159213,0.59707147,0.59367275,0.61275166,0.65710217,0.7141178,0.7640895,0.7898474,0.7909958,0.7759338,0.7552032,0.732518,0.7089956,0.6823979,0.64812523,0.59572405,0.5165529,0.4097763,0.29020062,0.17974453,0.10064719,0.067023136,0.08936938,0.16974236,0.2966502,0.43624428,0.54997206,0.6150793,0.64175624,0.65421194,0.6690314,0.6824887,0.68426937,0.671609,0.6510171,0.6313102,0.6185179,0.61898845,0.6377019,0.67391986,0.7167928,0.75257945,0.7718837,0.77385587,0.760195,0.7344584,0.7013206,0.6681623,0.63752127,0.60337925,0.55187833,0.47474074,0.38021705,0.29904693,0.26850066,0.31021884,0.40960205,0.5265743,0.6211779,0.6790986,0.708329,0.7225273,0.7269092,0.7204171,0.703734,0.68259877,0.66681606,0.66503567,0.6825113,0.7154913,0.75331044,0.7812355,0.79071146,0.7820544,0.7653551,0.75163704,0.74592286,0.73780537,0.7060284,0.62893873,0.50606793,0.36330843,0.24709173,0.19888799,0.2377497,0.35019127,0.49991915,0.6435918,0.7488939,0.80302113,0.8108511,0.7876167,0.7517035,0.71895504,0.69597983,0.676271,0.648789,0.61407423,0.59202594,0.6051221,0.65435433,0.7140021,0.75370675,0.76272374,0.7519445,0.7381037,0.731353,0.7343538,0.74695593,0.7652232,0.78328854,0.7942342,0.7940571,0.7798181,0.7509346,0.71111053,0.66877127,0.6309339,0.59582037,0.55126685,0.48377421,0.38876095,0.27812794,0.17293346,0.09524957,0.059242353,0.07592834,0.14877549,0.2682995,0.40177894,0.5105296,0.573068,0.6004276,0.6174631,0.6368952,0.6519601,0.65067726,0.63242227,0.6058982,0.58062524,0.56352,0.56219214,0.585007,0.63137645,0.6882712,0.73425955,0.75360686,0.74026865,0.7009177,0.6492879,0.6043678,0.57749766,0.56650484,0.5536151,0.51815265,0.44823298,0.34866965,0.23859863,0.14183573,0.07804962,0.059487145,0.09450587,0.18282424,0.3085955,0.4357942,0.53043705,0.5799406,0.60309243,0.62221074,0.64530087,0.66000265,0.65621096,0.63538915,0.6089843,0.5865119,0.57384086,0.5763814,0.5992557,0.6415787,0.69329405,0.740156,0.77112293,0.7810847,0.76918274,0.7386139,0.6976449,0.6562033,0.61781216,0.5749319,0.51405567,0.43018833,0.3372065,0.269301,0.26117814,0.32689586,0.44263768,0.5648842,0.65447253,0.70193166,0.7154828,0.70890146,0.68769145,0.6588486,0.63074917,0.61278194,0.6085251,0.6190674,0.6447823,0.68377376,0.72807723,0.7648804,0.78381616,0.78298086,0.7702126,0.75643086,0.74856216,0.7440577,0.73836017,0.7297742,0.7249313,0.72529596,0.7238474,0.70076257,0.6404769,0.53880507,0.41094694,0.2811124,0.17256434,0.09844136,0.06436354,0.076949246,0.14254732,0.2594495,0.4042866,0.5431145,0.6465766,0.70987874,0.7419602,0.75470686,0.7498297,0.72852165,0.6954929,0.6606698,0.6307843,0.6093115,0.601052,0.6142119,0.6532524,0.7093299,0.76122475,0.78695804,0.77484995,0.7305755,0.6718226,0.6222759,0.5950399,0.58773905,0.58200914,0.556992,0.49925208,0.40884653,0.30025133,0.19523929,0.11668652,0.0809147,0.10007236,0.17801118,0.30446523,0.44828308,0.5693385,0.64223504,0.67038876,0.6781728,0.6842126,0.69091946,0.6887619,0.6736853,0.6492815,0.6228842,0.6022355,0.5982725,0.62236387,0.6749633,0.73856884,0.7867992,0.8010004,0.7785087,0.7304999,0.67441607,0.62923926,0.6042473,0.59384435,0.5783503,0.5381891,0.4648991,0.36516204,0.25688413,0.1613283,0.097518675,0.07961709,0.11758738,0.21261899,0.3480157,0.48859963,0.59551924,0.6519339,0.6686735,0.6727097,0.6794304,0.68841964,0.6874476,0.67172885,0.64445156,0.61685854,0.5994687,0.60200685,0.62901527,0.6770031,0.731144,0.7713275,0.7807939,0.75543267,0.7045817,0.6477899,0.60388637,0.5805028,0.5689483,0.55037344,0.50807303,0.43873584,0.35865918,0.30111,0.30032554,0.36819613,0.48212108,0.5982628,0.6798234,0.71371657,0.706768,0.67435974,0.634197,0.6039602,0.5931092,0.6006959,0.6209354,0.6521906,0.6951186,0.7424944,0.7802891,0.7952264,0.7874535,0.76686186,0.74813336,0.74116296,0.7504411,0.7727222,0.79991716,0.818194,0.8140165,0.7770912,0.7149009,0.6506851,0.6173377,0.6271449,0.66575295,0.70129484,0.712336,0.6970293,0.6618387,0.6186438,0.58161306,0.5752933,0.61101836,0.67969394,0.7492497,0.7921724,0.798636,0.7759823,0.7377303,0.69320154,0.65069336,0.6137795,0.5864794,0.5702684,0.57122976,0.5951148,0.6423312,0.70105505,0.7525973,0.78301483,0.7874163,0.7690025,0.7327399,0.68772024,0.64398384,0.60796046,0.5747088,0.5294773,0.45936838,0.36368337,0.25836772,0.16518252,0.10359529,0.08516344,0.11819416,0.20260139,0.32408348,0.4492227,0.5460724,0.6012876,0.6295128,0.6485784,0.6648652,0.66859937,0.653765,0.6248415,0.5938237,0.56965023,0.5580907,0.5647645,0.59401894,0.6418708,0.6943123,0.73384017,0.7477677,0.73217916,0.6924121,0.6425431,0.6004398,0.5759297,0.56327057,0.5429945,0.4971005,0.4200178,0.32282883,0.22516118,0.14639275,0.09994507,0.09575156,0.14129989,0.2355472,0.35847688,0.47419158,0.55254006,0.58986115,0.6071809,0.6246682,0.6439634,0.65251666,0.6425731,0.61950755,0.59453565,0.57587713,0.5678761,0.5752306,0.6026662,0.6482385,0.7021129,0.7483702,0.774898,0.77441484,0.7496318,0.7085983,0.66530204,0.6277365,0.5950213,0.55372375,0.4916356,0.40855268,0.32660377,0.28043258,0.29801568,0.37863478,0.49138442,0.5945199,0.66060305,0.6864621,0.6822012,0.6604133,0.6308319,0.6050727,0.59045637,0.5889208,0.5960369,0.61227363,0.6409244,0.6827715,0.7278052,0.76201206,0.7768763,0.7751782,0.76604277,0.7580219,0.75311977,0.7482925,0.73958373,0.729043,0.722399,0.7218316,0.7169151,0.6885039,0.6202408,0.5127895,0.38444576,0.26230854,0.16682792,0.10750646,0.08728436,0.11237795,0.18849595,0.31065032,0.45322704,0.58283424,0.6745391,0.72596645,0.7462528,0.7472277,0.7339444,0.7110734,0.68222183,0.6523393,0.6251514,0.6071143,0.60715055,0.6317408,0.6773186,0.72796863,0.76660943,0.7840581,0.78353405,0.77069545,0.75089025,0.7267093,0.701901,0.67565227,0.640709,0.58397394,0.49725398,0.38489494,0.2653936,0.16209078,0.094808005,0.0763973,0.11522154,0.2103355,0.3432938,0.47621953,0.5727828,0.62040854,0.6376593,0.6489698,0.6640792,0.6726602,0.665017,0.64254135,0.61707217,0.5985967,0.59381706,0.6072605,0.6420571,0.6924002,0.7435456,0.7796271,0.7942212,0.79115623,0.7762988,0.75406843,0.7264647,0.69702893,0.66501075,0.62396526,0.5613694,0.47053084,0.3582313,0.24493998,0.15395686,0.10188076,0.09961603,0.15254492,0.257117,0.38896325,0.511228,0.59296536,0.63135535,0.64446366,0.6519513,0.6581245,0.65750116,0.64741343,0.63315225,0.6215803,0.61537147,0.6153538,0.6256952,0.6511224,0.68980956,0.7306226,0.761503,0.7761662,0.7753423,0.76082677,0.7356681,0.7040765,0.67116785,0.6359825,0.5898326,0.52257746,0.43588617,0.35211125,0.3061379,0.32508278,0.40557066,0.51496977,0.61173224,0.6742599,0.70594376,0.72233254,0.7311468,0.7310877,0.7186119,0.69788074,0.67800283,0.6698978,0.67949635,0.7062095,0.74124765,0.7719149,0.78763366,0.7855776,0.77123,0.7547798,0.74406785,0.73714036,0.7182475,0.6656588,0.56783015,0.4386207,0.31508765,0.24174257,0.24770713,0.33339456,0.46983194,0.61280054,0.7250087,0.788135,0.80611587,0.790723,0.75929266,0.7252615,0.70047945,0.6823838,0.66127414,0.629229,0.59911495,0.59349877,0.62475187,0.67630124,0.7206561,0.739425,0.7377722,0.72727346,0.71941394,0.71791387,0.7270682,0.7454495,0.7677625,0.7837009,0.7852854,0.76776797,0.73208,0.68512434,0.6394853,0.6048083,0.58014727,0.55131,0.50173056,0.42337465,0.32382575,0.22105736,0.13536818,0.08272667,0.075641654,0.122580834,0.22201025,0.35295513,0.48014006,0.5737317,0.62828714,0.65859634,0.6789441,0.689601,0.68350285,0.6601648,0.62864393,0.59899265,0.57658887,0.5656494,0.5729623,0.60447735,0.65543014,0.71086687,0.7519796,0.76803136,0.756411,0.7238565,0.6809198,0.6412212,0.61089474,0.586201,0.5517513,0.493467,0.40684405,0.30393717,0.20503004,0.1301073,0.0916453,0.099624634,0.15972267,0.26749268,0.39609548,0.5082001,0.5774936,0.6085779,0.62477344,0.64322406,0.66092294,0.6647749,0.6495529,0.6222397,0.5944748,0.57596403,0.5733524,0.5914753,0.6286156,0.6756337,0.71810526,0.7439231,0.74570316,0.723367,0.6840808,0.64216995,0.61055636,0.59138346,0.5722391,0.53400284,0.46644726,0.37854657,0.30109164,0.26997912,0.30640423,0.39896575,0.5122576,0.60789704,0.6656792,0.6852023,0.67529964,0.6482911,0.61672246,0.5943487,0.5862227,0.5910485,0.60339135,0.6250356,0.6587744,0.7035339,0.74755365,0.7771829,0.785053,0.77619344,0.7623005,0.7537698,0.75226134,0.75323755,0.7509749,0.7460613,0.7414637,0.73712903,0.72195476,0.67939645,0.59796137,0.48276696,0.35467616,0.23908652,0.1538141,0.10596522,0.099468105,0.1404475,0.23210959,0.3623197,0.5013142,0.6166602,0.6916354,0.7306048,0.7453432,0.7444679,0.72911215,0.7024255,0.66951966,0.6387004,0.6144382,0.6020461,0.60719085,0.6365707,0.6873179,0.74434924,0.78528637,0.79425764,0.7691323,0.72094154,0.66726,0.624653,0.599482,0.5846881,0.5629578,0.5185,0.44519863,0.35048115,0.25131366,0.1678726,0.11777362,0.11493832,0.16747482,0.27253008,0.40752998,0.53662837,0.6278124,0.674011,0.69016606,0.6964341,0.6994106,0.6946349,0.6773308,0.65106434,0.6234207,0.60208994,0.59468824,0.6098322,0.65069723,0.70795625,0.7607154,0.78898835,0.7821093,0.74429804,0.68931365,0.6383414,0.6057469,0.59291124,0.58424264,0.56084627,0.5095614,0.43018213,0.3327048,0.23458683,0.15519781,0.11219623,0.12055469,0.18767774,0.3067744,0.44816884,0.5715811,0.64696074,0.6746876,0.6778908,0.67968345,0.6856969,0.6866489,0.67456836,0.6505497,0.6228129,0.59933287,0.5883615,0.59800315,0.6328263,0.68520397,0.7364931,0.76614934,0.76189995,0.7261856,0.6721429,0.6217881,0.58980393,0.57815224,0.5698683,0.54512763,0.49356684,0.4254973,0.3690331,0.35576487,0.40211174,0.49440122,0.59730124,0.6746976,0.7113642,0.71114916,0.6872565,0.6514542,0.61720467,0.5955549,0.59144014,0.60033154,0.6173327,0.6433331,0.6807885,0.72455215,0.76216316,0.7826784,0.7867811,0.7830437,0.7824338,0.78620607,0.78530246,0.76078635,0.69869214,0.59952563,0.48334524,0.37587824,0.29521582,0.24330427,0.21343905,0.19820659,0.19518721,0.20425726,0.22535324,0.25603554,0.29262945,0.33036283,0.36528036,0.39385402,0.4140931,0.4244548,0.42463723,0.41443852,0.39437047,0.36476088,0.3265926,0.28143522,0.23269136,0.186325,0.15098415,0.13591354,0.14543134,0.1749444,0.21083017,0.23880725,0.25151336,0.25177777,0.24687333,0.24278463,0.24136128,0.24237502,0.24508826,0.24903715,0.25359502,0.25848934,0.26393047,0.27036977,0.27796695,0.28622985,0.29448497,0.3019528,0.30794576,0.31169608,0.31243482,0.3096541,0.30326262,0.2935617,0.281131,0.26660004,0.2507128,0.23410527,0.21729048,0.200687,0.18468678,0.16975754,0.15644275,0.14554314,0.13846849,0.136826,0.14186436,0.1532631,0.16926046,0.18732274,0.20536892,0.22215612,0.23696886,0.24926805,0.2587457,0.26558256,0.27066585,0.2752725,0.28067693,0.28763393,0.29633215,0.30658612,0.31804758,0.33026794,0.34266782,0.3546536,0.36578402,0.37598407,0.38546124,0.3944247,0.40268812,0.40964416,0.41444108,0.41631222,0.41476408,0.40968394,0.40122294,0.3895701,0.37484407,0.35709324,0.33635056,0.31275776,0.28659168,0.25853553,0.22952622,0.2007894,0.17350219,0.14884937,0.12833469,0.11394761,0.1079186,0.11145871,0.12394265,0.14257608,0.16322012,0.1815983,0.19442934,0.20018335,0.1990517,0.19275993,0.18399037,0.17569391,0.17015018,0.168531,0.17116816,0.17828761,0.19019514,0.206496,0.22539295,0.24392469,0.25994328,0.27314153,0.28490925,0.29647744,0.30847487,0.32091904,0.3335347,0.34516773,0.35409462,0.35935602,0.36145815,0.3619176,0.36129114,0.3594261,0.35593906,0.3517414,0.34799692,0.3453327,0.34334525,0.34153476,0.34000674,0.33864823,0.33690873,0.33398125,0.3301873,0.3262081,0.322451,0.31869364,0.31536755,0.31368056,0.31469318,0.3186641,0.3251497,0.33301196,0.33919373,0.33855966,0.32773295,0.30936375,0.29387248,0.29220387,0.30900893,0.338784,0.37176934,0.4001399,0.4213899,0.43638042,0.4463584,0.45204365,0.45367983,0.45143947,0.4449843,0.43361273,0.41656756,0.3935715,0.36483502,0.33128068,0.29455325,0.25725237,0.22243278,0.19311547,0.17142068,0.15869342,0.15518582,0.16035746,0.17236751,0.18899007,0.2080384,0.22804083,0.24781507,0.26634753,0.2829505,0.29732347,0.30948487,0.31940338,0.3270388,0.3323208,0.33524445,0.33582667,0.33421704,0.3307138,0.32571343,0.31956634,0.312376,0.3040537,0.29437974,0.2833592,0.27134845,0.25914654,0.24758689,0.23732835,0.22868533,0.22183178,0.21671061,0.21290928,0.20959264,0.20583756,0.2009579,0.1946985,0.18687534,0.17728049,0.16566777,0.15225637,0.13796143,0.12463466,0.114559986,0.10969895,0.11043776,0.115685664,0.12348273,0.13227022,0.14111,0.14975749,0.15852799,0.16808105,0.17915225,0.19212906,0.20704691,0.22362532,0.2414207,0.2600191,0.2789741,0.29785648,0.31616172,0.33343402,0.34920797,0.36303356,0.37442112,0.38293985,0.38818446,0.3899368,0.38819873,0.38312843,0.37495795,0.36405948,0.35100937,0.33662078,0.32156143,0.30636796,0.29127145,0.2763776,0.26166722,0.24733745,0.23448007,0.22597949,0.22603215,0.23806159,0.26136792,0.290229,0.3166112,0.3347204,0.3440918,0.3480477,0.35103986,0.3553921,0.36132035,0.36715984,0.37118605,0.372115,0.36981273,0.3646563,0.35734186,0.3483254,0.338032,0.32672295,0.31464484,0.3017675,0.2878782,0.27260092,0.25573355,0.2372071,0.21715398,0.195794,0.17403333,0.15426134,0.14116599,0.14082046,0.15776604,0.19133504,0.23454122,0.2767093,0.3081555,0.32317948,0.3208175,0.3037535,0.2775415,0.24899684,0.22509558,0.21115746,0.21010984,0.22151019,0.2417665,0.26502326,0.28482318,0.29579282,0.29458776,0.280424,0.25533223,0.22456056,0.19612594,0.17895098,0.17926069,0.19833528,0.23203672,0.2735487,0.31558576,0.35237762,0.37978625,0.39541128,0.39819106,0.38833427,0.3673226,0.33799243,0.30470422,0.2724715,0.24620306,0.22873409,0.22040124,0.21863878,0.21940206,0.21846986,0.2127763,0.2012782,0.18500358,0.16704893,0.15176728,0.14385365,0.14654298,0.16033399,0.1823743,0.20774834,0.23102267,0.24774235,0.25487706,0.25108287,0.23687255,0.21485461,0.18943334,0.1661998,0.15029816,0.14508684,0.15083764,0.16491657,0.1827246,0.19913054,0.2098189,0.21193136,0.20454986,0.18874973,0.16756277,0.14554055,0.12750348,0.11743823,0.117003165,0.12529303,0.13854642,0.15155546,0.15914106,0.15830946,0.1495245,0.13691348,0.12720868,0.12711182,0.14089535,0.16874258,0.20724781,0.2508535,0.29360744,0.33031228,0.35702288,0.37095657,0.37030485,0.35437378,0.32464847,0.2861362,0.24738556,0.21830876,0.20635103,0.2141242,0.23915108,0.2757257,0.31698695,0.35644758,0.38925865,0.41115198,0.41871366,0.4084276,0.38067713,0.33974838,0.29485384,0.2541171,0.22286735,0.20113605,0.18708234,0.17794167,0.17189543,0.1674224,0.1635971,0.16007091,0.15682009,0.15411972,0.15164842,0.14902104,0.14528884,0.14015245,0.1335619,0.1263483,0.11928461,0.11327531,0.10871849,0.10577047,0.10434232,0.10479773,0.10832864,0.11715606,0.13402228,0.16019107,0.19297315,0.22467871,0.2458632,0.250359,0.23843415,0.21556501,0.1888116,0.16386473,0.14365144,0.12854464,0.117363416,0.10859221,0.101222895,0.09467825,0.088776834,0.08350995,0.07914507,0.07593719,0.07403328,0.073485225,0.074281864,0.076234564,0.078683436,0.080716796,0.081679255,0.08162252,0.08123258,0.08117568,0.0816996,0.0824221,0.08288753,0.08292385,0.08280259,0.08285005,0.08316163,0.0837396,0.08448926,0.0851008,0.08473393,0.08259501,0.07868498,0.07410619,0.07024648,0.06768706,0.06601264,0.06438094,0.062449813,0.060399484,0.058652263,0.057320103,0.056344938,0.055798177,0.056214496,0.05816345,0.061506048,0.06494376,0.066767424,0.066148825,0.063850544,0.06156711,0.060597777,0.06105863,0.061989594,0.062271312,0.06145358,0.060179856,0.059555244,0.06007235,0.06095134,0.060566723,0.057690233,0.05230849,0.045831207,0.040190484,0.036979157,0.036266662,0.036833998,0.036722813,0.03514787,0.032672074,0.030922746,0.03057907,0.031176483,0.031477697,0.030861514,0.02963257,0.028680233,0.028903274,0.030218935,0.031696025,0.031932484,0.030794067,0.029185534,0.028545082,0.029253125,0.031160265,0.03371115,0.036616106,0.039266776,0.04118474,0.041966144,0.041313246,0.038568284,0.033078987,0.025475115,0.018173553,0.014513665]