[0.16907829,0.17619802,0.18954408,0.20267679,0.21486986,0.22927652,0.24788897,0.26553187,0.27493024,0.27162397,0.2593687,0.24527334,0.23585789,0.23084165,0.22624989,0.21812987,0.20938404,0.20699024,0.21633299,0.23346765,0.24689823,0.24512865,0.2264205,0.20071544,0.18238752,0.17964123,0.18979067,0.20542264,0.22222555,0.24146123,0.2628901,0.28014708,0.28278154,0.26541516,0.23264001,0.19617482,0.16627507,0.14603098,0.13281704,0.124328196,0.12255264,0.1307018,0.1477936,0.16619934,0.1771292,0.17631121,0.16635208,0.15259473,0.13951226,0.12914623,0.121923305,0.11711306,0.112998135,0.10789305,0.101266,0.0942168,0.08831022,0.08444116,0.082294494,0.080961086,0.07959736,0.07790603,0.076117545,0.07475516,0.074264765,0.07476363,0.0759407,0.07720215,0.07782799,0.07728964,0.07546362,0.07326454,0.07326154,0.08019946,0.09924211,0.13261573,0.17561932,0.21705854,0.24368243,0.24796094,0.23221548,0.20772563,0.18690406,0.17581719,0.17176044,0.16904221,0.16600317,0.16606635,0.17274296,0.18428357,0.1952362,0.20095392,0.20260797,0.20497562,0.21304053,0.22590393,0.23867984,0.24538241,0.24607341,0.24559473,0.25044116,0.26173893,0.27552497,0.28558135,0.2889294,0.28629115,0.28034708,0.27222317,0.26086798,0.24433452,0.22300702,0.20053966,0.18219738,0.17038704,0.16336316,0.15747857,0.15210468,0.15004028,0.15349324,0.15971237,0.16287245,0.16118057,0.16111612,0.17271252,0.1998452,0.23484571,0.2638475,0.2760666,0.26977193,0.25059754,0.22606999,0.20184922,0.17975777,0.16065641,0.14600039,0.13925773,0.14189048,0.15117894,0.16059887,0.16476804,0.16242492,0.15607665,0.14874916,0.1420694,0.13606752,0.1303104,0.12434564,0.11789077,0.11058294,0.102461,0.093909524,0.085980214,0.07962128,0.07571115,0.07439905,0.07528623,0.0776139,0.08159087,0.089233756,0.10337827,0.12461177,0.14935367,0.17119448,0.18536477,0.19116843,0.19141461,0.18859206,0.18317032,0.1736802,0.15981345,0.14374726,0.13028,0.12337651,0.12362775,0.12694348,0.12726627,0.12020587,0.10580795,0.08826361,0.072874956,0.063006885,0.058544595,0.05717878,0.056299374,0.05511828,0.05550677,0.061983924,0.07844591,0.10483431,0.1354041,0.16339104,0.18578677,0.20555289,0.22674651,0.25044003,0.2730467,0.29093638,0.30263448,0.309285,0.30946788,0.3001432,0.27961123,0.25478783,0.2369991,0.23526245,0.2471029,0.26298296,0.2724581,0.27227616,0.264214,0.25331363,0.24321689,0.23700237,0.23530763,0.23791601,0.2426097,0.24783556,0.25258195,0.25768492,0.26397896,0.27218083,0.28205028,0.2928101,0.3025212,0.30830678,0.30752394,0.29983714,0.2877537,0.27495185,0.26337603,0.2523806,0.23990363,0.22557764,0.21118106,0.1995805,0.19103712,0.18292733,0.17094274,0.15298499,0.13013749,0.1072546,0.091239266,0.09045146,0.1098294,0.14818452,0.19509475,0.23765291,0.26507473,0.2745767,0.26780757,0.24920122,0.22333312,0.19559161,0.1709395,0.15182029,0.13758098,0.12596491,0.11581188,0.10735869,0.10087939,0.09566543,0.09063819,0.08550609,0.08066852,0.07622502,0.07163844,0.0663589,0.06067316,0.055253357,0.050294984,0.045296803,0.040037263,0.03541911,0.032947227,0.033470552,0.036402345,0.04031731,0.04384275,0.04612635,0.04656768,0.044751767,0.040722147,0.03557237,0.03192092,0.034284767,0.048693806,0.0804119,0.13013458,0.19111805,0.25082648,0.29647496,0.32089356,0.32417324,0.311618,0.29032138,0.26732793,0.24873807,0.23915605,0.24037616,0.25025532,0.26305795,0.27206585,0.2733347,0.2680354,0.26111153,0.25760022,0.25833488,0.25980982,0.25699684,0.24867491,0.23940252,0.23702802,0.2466973,0.26600564,0.28666636,0.29992107,0.30281556,0.2976326,0.2884413,0.27661046,0.26194888,0.24556953,0.23206562,0.22645831,0.2299689,0.23873536,0.24706101,0.2517977,0.25291625,0.25247297,0.25157264,0.25045446,0.24770951,0.24281023,0.23617224,0.23015344,0.22677465,0.22778873,0.23320757,0.24188142,0.25005025,0.25388214,0.2506451,0.24126796,0.22796582,0.21331,0.19847639,0.1847436,0.17401464,0.16937186,0.17329322,0.18579376,0.20362295,0.22229171,0.23827553,0.25017563,0.25841558,0.26493898,0.27234152,0.28141996,0.28976187,0.29233393,0.28541636,0.2695531,0.2506092,0.23683883,0.23376508,0.24031357,0.24980307,0.25681674,0.26133034,0.26793218,0.27805707,0.28848162,0.29312357,0.2901763,0.28206956,0.2737475,0.26804712,0.26483837,0.262534,0.2607953,0.26303574,0.27357605,0.29459402,0.32186374,0.3477197,0.36410287,0.3678421,0.36074448,0.3490771,0.33965352,0.33723047,0.34216848,0.35152343,0.3607657,0.36704898,0.37013355,0.37268564,0.37709427,0.38367352,0.38994452,0.39307436,0.39187825,0.38635442,0.37752286,0.36576888,0.35268876,0.3394443,0.32804373,0.31929985,0.3140589,0.31234738,0.3145329,0.32020417,0.32792345,0.334492,0.33732775,0.33540526,0.33022395,0.32317263,0.31572154,0.3087596,0.30418527,0.30314288,0.3054768,0.30868623,0.3093234,0.30459654,0.29373416,0.278649,0.2627469,0.24941854,0.23993881,0.23319268,0.22670877,0.21861656,0.20912652,0.20028405,0.19500034,0.19460349,0.19780292,0.19993412,0.19685173,0.18830872,0.18119769,0.18364541,0.19820218,0.21663253,0.22717004,0.2249089,0.21689767,0.21521248,0.22409062,0.23603563,0.23780729,0.22419704,0.20264621,0.18776534,0.18794692,0.19942392,0.21196155,0.22070467,0.22946173,0.24403547,0.262749,0.27754447,0.28030324,0.270028,0.2513495,0.2307118,0.21062832,0.19032659,0.16972168,0.1557763,0.15984772,0.18899886,0.23698227,0.28734758,0.32345256,0.33751103,0.33075503,0.31026128,0.28535697,0.26559496,0.25644746,0.25731432,0.2623181,0.26518813,0.26164326,0.25006756,0.2316969,0.21207134,0.20014274,0.20273001,0.21887796,0.24026562,0.257741,0.26767507,0.27107802,0.2712841,0.27089882,0.27371565,0.28108406,0.29031435,0.29263398,0.2801099,0.25116402,0.21364039,0.17920245,0.15672427,0.14754637,0.14826019,0.15488224,0.16596276,0.17945547,0.19097543,0.194573,0.18794806,0.174111,0.15895633,0.14646067,0.1368391,0.1283552,0.11986349,0.11172083,0.10470909,0.098955564,0.09404143,0.08960561,0.08588303,0.0831173,0.081306,0.07994511,0.078645654,0.077241115,0.075848006,0.07449857,0.07309666,0.07165521,0.070502035,0.07036799,0.07181507,0.07494383,0.0789927,0.082885236,0.08540275,0.08583356,0.084020115,0.08180825,0.08360086,0.09607822,0.12302484,0.1614883,0.20052491,0.22919627,0.24309266,0.24739031,0.24993484,0.2553264,0.2624834,0.26857018,0.2718707,0.27215838,0.26892534,0.2617095,0.2512419,0.24034669,0.23275244,0.23116131,0.23607886,0.2453324,0.25607035,0.2664024,0.276324,0.28545836,0.29139683,0.29127538,0.28556228,0.27922472,0.27779642,0.2824373,0.28999576,0.29627755,0.2996973,0.3002105,0.29859304,0.29485586,0.28867576,0.27842537,0.26254472,0.24179773,0.22157474,0.21038859,0.21441919,0.23266709,0.25588557,0.272002,0.27252367,0.2578642,0.2365665,0.22086181,0.21922432,0.23173976,0.25047937,0.26511672,0.2694577,0.26429406,0.25577864,0.25075033,0.2529111,0.26122758,0.27137494,0.2782849,0.27910045,0.2742516,0.26718453,0.26151645,0.25911394,0.25923333,0.26022783,0.2608004,0.2602593,0.25848353,0.25583288,0.2534854,0.25178,0.24979858,0.24556287,0.2386231,0.2300682,0.22168763,0.21432243,0.20850621,0.20525914,0.2059018,0.21140856,0.2219659,0.23714316,0.25528935,0.273005,0.2859479,0.2907738,0.28717265,0.27854654,0.27048197,0.26812646,0.27258977,0.28124455,0.28990963,0.29726422,0.30461538,0.31329355,0.3205121,0.3195955,0.3043687,0.27515736,0.24053073,0.21213837,0.19657876,0.19239801,0.19466574,0.20218606,0.21766955,0.24266557,0.27212274,0.2972525,0.31096733,0.31265506,0.30668896,0.2989762,0.29409364,0.29356822,0.29700586,0.30170035,0.30541062,0.30565432,0.30147663,0.29135457,0.27482712,0.2529052,0.23072053,0.21595043,0.21470064,0.22677748,0.24521649,0.26188627,0.27239153,0.2778731,0.28055394,0.2810223,0.27718508,0.26742485,0.25220376,0.23480876,0.2192116,0.20801656,0.2009682,0.19605047,0.19162478,0.1877837,0.18532102,0.18459332,0.18586873,0.19103174,0.20190082,0.21694927,0.22895186,0.23086216,0.22240865,0.2136422,0.2163965,0.23544598,0.26336446,0.28811696,0.30138314,0.30389616,0.3011261,0.29794812,0.29455248,0.2881495,0.27641568,0.26107365,0.2467882,0.23683478,0.22915433,0.21902913,0.20531406,0.19494049,0.19735487,0.2166782,0.24549983,0.27063015,0.28027952,0.2714937,0.24879259,0.2215787,0.19946955,0.18979801,0.19480737,0.21095385,0.23067963,0.24709494,0.2576122,0.2644119,0.27072608,0.27694067,0.2788296,0.27015993,0.24789216,0.21595001,0.18384475,0.16025263,0.14892209,0.15009491,0.16579156,0.19906962,0.24900591,0.30522326,0.3526175,0.37885025,0.38118985,0.36392674,0.33390248,0.29682574,0.25813094,0.22420545,0.20094901,0.18994485,0.1865446,0.18206972,0.17003359,0.14972733,0.12624225,0.10570625,0.091693014,0.083943196,0.08021224,0.0783217,0.077047475,0.075961925,0.074930824,0.07400466,0.07331019,0.07306572,0.07361475,0.07650208,0.085225604,0.10519391,0.13932142,0.18481977,0.2316566,0.26852432,0.28717306,0.2860093,0.2696729,0.24858634,0.2354014,0.23698308,0.24867421,0.25645864,0.24833281,0.2249428,0.20023821,0.1931646,0.21364625,0.25671595,0.30526385,0.34360948,0.36607215,0.3764696,0.37850285,0.36927626,0.342801,0.29868707,0.24832119,0.20908403,0.1939125,0.20294285,0.22661476,0.25416002,0.27984217,0.30291668,0.3221507,0.33492446,0.33781883,0.3328797,0.32576776,0.323813,0.32895938,0.33920386,0.34926674,0.35452887,0.35126555,0.33889246,0.32041988,0.3014276,0.2867134,0.2772503,0.26913965,0.25531083,0.23098509,0.19919689,0.17232971,0.16423072,0.18095963,0.21539764,0.2530404,0.28049564,0.2932184,0.2963637,0.30123392,0.3167009,0.34239438,0.36690375,0.37671122,0.36423847,0.33279586,0.29125634,0.25075743,0.22107494,0.20929514,0.2176087,0.24119818,0.27141753,0.2965532,0.30725583,0.29710984,0.26848355,0.23210774,0.2043262,0.1978364,0.21287842,0.23667838,0.25004336,0.24173261,0.21517618,0.18732272,0.17522617,0.18540747,0.21042578,0.23713756,0.25736693,0.2726879,0.29132247,0.3183943,0.3521053,0.3828577,0.40102494,0.3993946,0.3773783,0.33968553,0.2978244,0.26601592,0.25454712,0.2624805,0.27789998,0.28780302,0.28718293,0.28075555,0.27428034,0.26853526,0.25967437,0.24613918,0.23185231,0.22478783,0.23202741,0.25547743,0.2889483,0.31887677,0.3316184,0.32274577,0.3016272,0.28429928,0.28232172,0.29560196,0.31537616,0.332,0.34144148,0.34630874,0.3519005,0.36065248,0.37005588,0.37512052,0.37404552,0.36935937,0.3653926,0.36242667,0.35553268,0.33843634,0.31034276,0.27992812,0.25905403,0.25467572,0.2623969,0.2738872,0.28321528,0.29126737,0.29968312,0.30816436,0.31379306,0.3145156,0.3105094,0.3041171,0.2995204,0.3010033,0.31142625,0.32923898,0.34922913,0.36494294,0.3725171,0.37150607,0.36292437,0.3485402,0.33055854,0.31266084,0.29725906,0.2838947,0.2704848,0.2565678,0.24562462,0.24056512,0.24199553,0.2472473,0.2551578,0.26498067,0.2751007,0.28146687,0.28106835,0.2741001,0.26378217,0.2543787,0.25008833,0.25286543,0.26120016,0.2702324,0.277068,0.28164986,0.28534818,0.28449407,0.27183053,0.24170358,0.19841564,0.15659688,0.13467486,0.14283134,0.17692555,0.22008754,0.25554287,0.27513114,0.28254494,0.28445888,0.28487143,0.28247187,0.27436018,0.25801954,0.233392,0.20424081,0.18005137,0.17121182,0.1828266,0.20852607,0.23658454,0.2571622,0.26858923,0.27351692,0.2750392,0.274735,0.27343535,0.2716639,0.26838303,0.26215768,0.25196576,0.23949301,0.22801292,0.22178108,0.2231005,0.2313953,0.24204008,0.24773431,0.24040155,0.21509753,0.1732577,0.12369896,0.078295566,0.045864355,0.027987385,0.02077158,0.018993443,0.019367903,0.020664657,0.022427747,0.024189308,0.0253241,0.025503477,0.024996586,0.02554763,0.0309695,0.04647565,0.0751862,0.11467037,0.15614241,0.18966405,0.20923398,0.21578495,0.21363954,0.20745434,0.1996045,0.19124949,0.18279594,0.17463835,0.16680008,0.15917583,0.15145828,0.14419222,0.13950072,0.14212568,0.15666169,0.1833271,0.21468313,0.2404828,0.25612918,0.26646575,0.27900234,0.29416832,0.30428278,0.30168486,0.28710374,0.26896873,0.25547266,0.24828689,0.24201083,0.23153836,0.21699667,0.20541327,0.20391142,0.2148679,0.23423547,0.2534562,0.26214132,0.2504616,0.21744372,0.17457198,0.14248715,0.13374276,0.14429273,0.1567537,0.16065764,0.16078575,0.17298675,0.20592709,0.25328958,0.29841802,0.32686508,0.33489004,0.32812262,0.316417,0.3076048,0.30518508,0.30797818,0.31199053,0.31311142,0.30941114,0.30150238,0.29110697,0.27902266,0.26541126,0.24989487,0.23444945,0.22222579,0.21862201,0.22565699,0.24293172,0.26591843,0.2909257,0.31239262,0.3235701,0.31753823,0.29478645,0.2664094,0.248599,0.25190058,0.2733804,0.30035487,0.31897256,0.32263815,0.31246608,0.29438594,0.2751893,0.26099315,0.25524056,0.25798967,0.2655238,0.27372012,0.2794923,0.2822803,0.28166363,0.27750543,0.26961517,0.26007047,0.25337303,0.2558317,0.26997665,0.2902849,0.30227447,0.29372278,0.2649654,0.23311698,0.21757276,0.22670464,0.25130668,0.27592793,0.2881784,0.28399956,0.2652692,0.24033757,0.22311006,0.2263369,0.25138283,0.28520358,0.31011343,0.31708828,0.310065,0.29951558,0.2937697,0.29578745,0.3043054,0.31542027,0.32330593,0.3221557,0.30745196,0.27838132,0.23807812,0.19728069,0.1708696,0.17234208,0.20143326,0.24381363,0.27765414,0.28980157,0.28116044,0.26372406,0.24791427,0.23744775,0.23079377,0.22866033,0.23306791,0.24284041,0.24803199,0.23648448,0.20261854,0.15393257,0.10497663,0.06802868,0.04670232,0.03742825,0.03463309,0.034283325,0.03461225,0.035045248,0.03590685,0.03881083,0.046670824,0.061831176,0.08369467,0.10779322,0.12849429,0.14296766,0.15365322,0.16723174,0.1903121,0.22544785,0.26773497,0.3063852,0.3282801,0.3259907,0.3029314,0.27440247,0.2586839,0.26517925,0.2878612,0.31084383,0.32180974,0.318769,0.30890068,0.29968333,0.29731095,0.30423602,0.31941274,0.33499995,0.3412842,0.33438194,0.321287,0.31436136,0.32088223,0.33679798,0.3503934,0.35063782,0.33509138,0.31009224,0.28640068,0.2717575,0.26701865,0.26723018,0.26721665,0.26684177,0.27038756,0.2810748,0.29614785,0.3089994,0.31451806,0.31247064,0.30453905,0.29171956,0.2743772,0.2560224,0.24292497,0.24007833,0.24599667,0.2537726,0.2558994,0.24851382,0.23220176,0.21139371,0.19445974,0.19017701,0.20308936,0.22865327,0.2559062,0.27243078,0.27158165,0.25478598,0.23036994,0.20710051,0.18865813,0.17248392,0.15425916,0.13287425,0.11153174,0.09461572,0.08428208,0.07945087,0.07759877,0.0765132,0.07511786,0.0729973,0.0701288,0.066634856,0.06280121,0.058851216,0.054985315,0.051449414,0.048845325,0.04875258,0.054367136,0.0705088,0.1010833,0.14596242,0.19876707,0.2495584,0.28899357,0.31244537,0.31975606,0.31442273,0.30171648,0.28868398,0.28045106,0.2785717,0.27982244,0.2828655,0.29024395,0.30678186,0.33097917,0.35347548,0.36252096,0.35252702,0.3273737,0.29535773,0.26430756,0.23858155,0.22297513,0.22207613,0.2378341,0.2637154,0.28849378,0.30230233,0.30395743,0.29748276,0.2896558,0.28446135,0.28541815,0.29213548,0.3025124,0.31100202,0.31431726,0.31229815,0.30883813,0.30659723,0.30435494,0.29796395,0.28656027,0.27470562,0.26909435,0.27089867,0.27666518,0.28273115,0.29026023,0.3006574,0.31183878,0.31880614,0.3192164,0.3149663,0.30873203,0.30154493,0.29457387,0.29162613,0.29617608,0.30590177,0.31238642,0.30844024,0.29574642,0.28318927,0.27868226,0.28226185,0.28856254,0.29243818,0.29301116,0.29194725,0.29128253,0.29177317,0.29291555,0.2930008,0.28980935,0.2825208,0.27209064,0.26138538,0.25274596,0.24926895,0.2532988,0.26627696,0.2843016,0.30020514,0.3077816,0.30664465,0.30065048,0.29118398,0.27530026,0.24783538,0.2091683,0.16694738,0.13426642,0.12276808,0.13794847,0.1755885,0.22312015,0.26349214,0.2843797,0.28318134,0.2667577,0.24474342,0.22516829,0.21442844,0.2153824,0.22493206,0.23211949,0.2262507,0.20566982,0.18118589,0.16924833,0.1805212,0.21321023,0.25215444,0.27828047,0.27967536,0.2598647,0.23458774,0.22041917,0.22520305,0.24496472,0.2693932,0.28764912,0.2928785,0.2838358,0.26307532,0.23589385,0.20696147,0.18113966,0.16112201,0.14820467,0.14069802,0.13645916,0.13361795,0.13184272,0.13096334,0.1305169,0.1296366,0.1284554,0.12895411,0.13538636,0.15235291,0.1821069,0.22154479,0.26262745,0.29610685,0.31614515,0.32214555,0.31649813,0.30220106,0.28234965,0.26048407,0.23950975,0.21931852,0.19917822,0.1822588,0.17779194,0.19306777,0.22476704,0.25847802,0.28046784,0.28569445,0.27718005,0.25793833,0.2321468,0.20776558,0.19720037,0.20573205,0.22639453,0.24369244,0.24943598,0.24903525,0.25503638,0.2716825,0.28967962,0.29681063,0.29002476,0.2763325,0.26102445,0.2430209,0.2213481,0.2034346,0.20276342,0.22605056,0.26602405,0.30272126,0.31607664,0.2967002,0.25285932,0.20559587,0.17701276,0.17687583,0.19874823,0.22678976,0.24812913,0.25955763,0.2648972,0.26626706,0.25970036,0.23984556,0.2098773,0.18434228,0.18084462,0.20515662,0.24675648,0.28559312,0.31006023,0.32466996,0.34810007,0.39451933,0.4617617,0.52861756,0.5709656,0.5747139,0.54232436,0.4851286,0.41794038,0.3539152,0.30559364,0.2810427,0.28218135,0.30178475,0.32728735,0.34618685,0.35137787,0.34298387,0.3264784,0.31075272,0.30444014,0.31243923,0.3345137,0.3663511,0.40242234,0.4353967,0.45694375,0.46112326,0.4489487,0.42806217,0.40628353,0.38676015,0.36881924,0.35159388,0.33659175,0.3253058,0.3188624,0.31657168,0.3174695,0.32105693,0.32999563,0.35278425,0.39802086,0.46655178,0.5412167,0.59516615,0.60288787,0.55791956,0.47184289,0.3711876,0.28057444,0.21639554,0.17992024,0.1653863,0.1633798,0.16703694,0.17166252,0.1791486,0.19950183,0.24750584,0.33007118,0.4346149,0.53124285,0.58919233,0.5957932,0.56018573,0.5043239,0.44837785,0.4055998,0.38183212,0.3792623,0.3937038,0.41493478,0.4284338,0.42606914,0.40989318,0.38992783,0.37360218,0.36216775,0.35298815,0.34498492,0.33956954,0.3383024,0.34058592,0.3438053,0.34519958,0.34388173,0.34070334,0.33737823,0.3348688,0.33330378,0.33128324,0.32785082,0.32575938,0.3352807,0.3683785,0.42806697,0.49897757,0.55552125,0.57630944,0.55732185,0.5094051,0.45034274,0.3958051,0.35563564,0.3338808,0.32956025,0.3379571,0.35005996,0.35599625,0.34965447,0.33396217,0.31837165,0.31216,0.31691828,0.32771793,0.33860245,0.34874228,0.3587989,0.36694303,0.36666492,0.35570756,0.33914542,0.3268169,0.32198143,0.3189682,0.3087359,0.28816143,0.26267675,0.24225013,0.23527521,0.24518244,0.26883602,0.30060017,0.33545086,0.37642166,0.42943743,0.49750605,0.56721425,0.6144037,0.6149469,0.5647511,0.4814802,0.39662,0.33510482,0.30477217,0.29502308,0.28923786,0.27604973,0.25615922,0.23993938,0.24058722,0.26809862,0.32435498,0.40271404,0.48521844,0.5477464,0.5666826,0.53536755,0.46697462,0.39154342,0.33512294,0.3106105,0.31214258,0.32791817,0.3449091,0.35556352,0.35419014,0.34190252,0.32488307,0.3130484,0.31066775,0.31430566,0.3162699,0.31216288,0.3044426,0.29957256,0.3034117,0.316393,0.3331904,0.34404442,0.34041727,0.3190615,0.28530407,0.24948256,0.22299331,0.21473245,0.2325678,0.2820923,0.3623521,0.45916536,0.5474127,0.59998614,0.60173684,0.5551353,0.47812557,0.39419702,0.32277742,0.27617908,0.25783885,0.2646161,0.28489327,0.30546048,0.31587496,0.31437895,0.3037343,0.28805408,0.26967475,0.2503289,0.23316538,0.22354883,0.2289183,0.25068757,0.2805493,0.2997407,0.29533538,0.26811454,0.2340638,0.20797628,0.19569777,0.1924591,0.19186805,0.19033287,0.18931575,0.19287919,0.20540708,0.22868173,0.2623463,0.3063836,0.36309013,0.43274006,0.50696677,0.565782,0.5875571,0.56209165,0.5000859,0.42567095,0.36372933,0.3262899,0.3121461,0.31180382,0.31662717,0.32121912,0.3233303,0.32168734,0.31815952,0.32084224,0.34271553,0.39374694,0.46844158,0.544709,0.5917097,0.58894306,0.5348832,0.44917902,0.3611853,0.29912448,0.27776304,0.29490688,0.33241156,0.36726543,0.38073203,0.3689048,0.33946142,0.30687895,0.28144702,0.26841477,0.2673129,0.27426323,0.2815605,0.28120962,0.27011773,0.25307962,0.23989446,0.23828954,0.24959783,0.26819226,0.28600731,0.2967757,0.29924285,0.29739776,0.2972553,0.30318603,0.31354526,0.32214868,0.3217307,0.3097428,0.28914604,0.2666049,0.2490894,0.24246986,0.24965386,0.26898712,0.2930136,0.31192228,0.3177377,0.30845952,0.28781432,0.26285577,0.23940544,0.21848713,0.19738872,0.17400716,0.15071951,0.1320492,0.12023276,0.11309596,0.10696161,0.1000525,0.09326434,0.088215195,0.08545069,0.08426028,0.08368399,0.08329871,0.08315975,0.08338356,0.083703704,0.08366215,0.082784586,0.08165983,0.082911916,0.09162486,0.11278877,0.14661206,0.18684264,0.22446053,0.255458,0.28206158,0.30794904,0.33060822,0.34139743,0.33151826,0.30003932,0.25599137,0.21318734,0.18131393,0.16249801,0.1551186,0.15872723,0.1712019,0.18380518,0.18413563,0.16823535,0.14777602,0.14192583,0.1613468,0.19944291,0.23878829,0.26350012,0.26915696,0.26332822,0.26106706,0.27202788,0.2925885,0.30414346,0.29137513,0.25503144,0.21587507,0.19479728,0.19842316,0.21382596,0.22254913,0.21284287,0.1866415,0.15311468,0.1214359,0.09461614,0.07287364,0.05750911,0.055108473,0.073743075,0.11722941,0.17869364,0.24420929,0.30179024,0.35310498,0.40895772,0.4782419,0.550371,0.60034806,0.60212296,0.5522542,0.4722424,0.39588287,0.34566808,0.32142374,0.30909476,0.2971197,0.28765574,0.28916407,0.30489054,0.32512867,0.3351915,0.32701185,0.30723715,0.29086158,0.29085198,0.30904886,0.3394244,0.3721554,0.4004095,0.41822705,0.4233848,0.41446957,0.3941535,0.3663861,0.33803645,0.31517634,0.30092216,0.29362166,0.29018825,0.29006612,0.29512224,0.30576167,0.32062995,0.34090367,0.37597588,0.4358997,0.5203011,0.60650414,0.661762,0.6589655,0.59791565,0.49989212,0.398366,0.31691587,0.2655605,0.23931932,0.2300746,0.2297989,0.23391461,0.23934996,0.24782632,0.26798102,0.3138515,0.392742,0.49498984,0.58896387,0.6386922,0.62027484,0.5414547,0.43149874,0.32881173,0.25755587,0.22643088,0.2313987,0.26353574,0.30964136,0.35149503,0.3732767,0.36709544,0.33899543,0.3024592,0.27362534,0.26114845,0.2633431,0.26912084,0.26919603,0.26430175,0.26347923,0.27347004,0.29024395,0.30341005,0.30557194,0.2998738,0.29590642,0.3017806,0.31920278,0.3473948,0.38932076,0.4497005,0.52613515,0.6014663,0.6511231,0.65685177,0.6197073,0.5563581,0.4892335,0.43286315,0.3921105,0.36400732,0.344491,0.32919872,0.31471252,0.29801294,0.27848443,0.25827646,0.24256305,0.23725386,0.2445838,0.26037636,0.27655578,0.29150394,0.3114055,0.34532356,0.38990822,0.43297863,0.45920697,0.46454382,0.45122814,0.42670503,0.39629078,0.36572516,0.33747175,0.31215551,0.28892592,0.27001217,0.26041415,0.26657355,0.29397282,0.34786806,0.4289144,0.5276355,0.6185604,0.6708557,0.662859,0.59804195,0.49976018,0.39948198,0.31878635,0.26544055,0.23519337,0.22049768,0.21453957,0.21272023,0.21335834,0.21969217,0.24206273,0.29266092,0.37536645,0.47672176,0.5679148,0.6194044,0.615813,0.56480426,0.48920262,0.414409,0.35575652,0.31790897,0.3003504,0.29923853,0.30713138,0.31076598,0.301147,0.27761728,0.24977414,0.22622006,0.21093304,0.20248829,0.19919293,0.20017703,0.20429398,0.2092594,0.2120554,0.21114336,0.20778115,0.20612015,0.21159182,0.2266713,0.24795878,0.26633087,0.27629814,0.2837236,0.30806735,0.36528787,0.4548806,0.55049366,0.6195684,0.6374257,0.6047712,0.5371291,0.4573522,0.3821573,0.32396686,0.290782,0.28569868,0.30381492,0.3324263,0.35853052,0.37392393,0.3791758,0.37939462,0.3815503,0.38883936,0.40086117,0.41450045,0.4282422,0.4410497,0.4513938,0.45486692,0.44947004,0.43636945,0.42194727,0.41038695,0.40422654,0.40083885,0.39845982,0.3945143,0.38958105,0.38350043,0.37603757,0.3654742,0.35349393,0.34916916,0.36856982,0.4234283,0.5087362,0.5968478,0.652216,0.6481958,0.584603,0.4826783,0.37706754,0.2967414,0.25766155,0.25738946,0.28178772,0.31255376,0.33554563,0.34547114,0.34705535,0.35375345,0.3820357,0.4408225,0.5224633,0.5997297,0.6395561,0.6205807,0.5484707,0.45053566,0.35876378,0.2934638,0.25916067,0.2531245,0.2671095,0.28958085,0.30338213,0.29800057,0.27392033,0.24383913,0.21953171,0.20636968,0.20217879,0.20326942,0.20704961,0.21228576,0.21781592,0.22202243,0.22360194,0.22254767,0.22028448,0.21844523,0.21761934,0.2173224,0.21829395,0.2254522,0.24909954,0.30051458,0.38183066,0.47872183,0.5619332,0.60333246,0.5902297,0.53306323,0.45498982,0.38030598,0.3243047,0.29462174,0.29291034,0.3157148,0.35319826,0.39162624,0.419755,0.43302205,0.43393555,0.42809126,0.42182037,0.418928,0.41982532,0.4209149,0.41966376,0.416043,0.4146997,0.4181349,0.4275669,0.43936583,0.4510571,0.4594628,0.46418992,0.46424058,0.45876837,0.44582668,0.426447,0.40542996,0.389958,0.3819697,0.37873498,0.37875518,0.39229724,0.43369374,0.50712854,0.5908846,0.6504918,0.6581233,0.6145559,0.54136765,0.4671243,0.40853047,0.36990976,0.34701517,0.33472684,0.32841656,0.32449952,0.32097313,0.3206558,0.33311448,0.371152,0.44051266,0.52999336,0.611084,0.6524127,0.63716334,0.5741375,0.48981094,0.4139508,0.36450353,0.34554124,0.3513508,0.3721094,0.39732215,0.41654956,0.4231869,0.41413596,0.390859,0.35742697,0.3229431,0.29973376,0.2975019,0.31569088,0.34280953,0.36619055,0.37970307,0.38673148,0.3915969,0.39655074,0.39877215,0.39648864,0.3893303,0.38065258,0.37594268,0.38348016,0.41258657,0.46641302,0.5366091,0.60112387,0.63690525,0.630148,0.5854275,0.5194656,0.4533528,0.40235385,0.37257147,0.36207518,0.36427572,0.37220392,0.3802224,0.3859487,0.38976863,0.39361086,0.39922658,0.40646493,0.4138496,0.41960117,0.4237541,0.428512,0.4347521,0.44065246,0.44046363,0.43145335,0.41495728,0.39779398,0.38555154,0.3807598,0.3816929,0.3856224,0.39066112,0.39640152,0.40231645,0.40710208,0.40902588,0.41007903,0.41715434,0.44190845,0.49090013,0.55962753,0.6269889,0.6685769,0.6669688,0.6260087,0.56163776,0.4947331,0.43609193,0.38959396,0.35308543,0.3257227,0.30623224,0.29411247,0.28928307,0.29487148,0.31847087,0.36805236,0.44559255,0.5370293,0.6144373,0.64592487,0.6172274,0.5410841,0.45095286,0.3775729,0.3323652,0.30885598,0.2987037,0.3000208,0.31285164,0.32817578,0.33159828,0.3135244,0.2798873,0.2477644,0.23473205,0.2469548,0.27543703,0.30359945,0.3201863,0.326991,0.33299172,0.34265456,0.35164165,0.35305634,0.34546328,0.3338519,0.32345006,0.31636778,0.31352624,0.32198456,0.35459206,0.4203101,0.5105005,0.59760165,0.65022993,0.6521699,0.6100146,0.544632,0.47825733,0.42535487,0.3913456,0.3741713,0.36814347,0.3665321,0.36339578,0.35342634,0.33300042,0.3033963,0.2730138,0.2553332,0.25988442,0.285925,0.3218857,0.35503343,0.3767716,0.38543,0.38198936,0.37206104,0.36381447,0.36525846,0.37631762,0.38796473,0.38796318,0.36950043,0.33602703,0.29837087,0.2684384,0.25248674,0.25039086,0.26077282,0.28727424,0.33983037,0.42395434,0.5300221,0.62659144,0.67702407,0.6577101,0.57681906,0.4647822,0.35860643,0.2803166,0.23411582,0.21133924,0.20143957,0.19717489,0.19519179,0.19582923,0.20384373,0.23122533,0.291089,0.3882996,0.50499123,0.60532236,0.6489722,0.61800027,0.524165,0.40415975,0.2953944,0.22211067,0.18946217,0.19253705,0.21874772,0.25180283,0.27217323,0.2695698,0.24733256,0.22276653,0.21245573,0.22290498,0.24639021,0.2681539,0.27727363,0.27355528,0.26729086,0.2690804,0.28201663,0.29953322,0.31309566,0.3187742,0.31910297,0.31832,0.31839606,0.31763232,0.31313375,0.30332497,0.2901756,0.27829936,0.27220348,0.2731836,0.27943608,0.28784907,0.2953479,0.29804802,0.2926968,0.27912602,0.26286215,0.2511048,0.24773853,0.25031358,0.25367442,0.25485003,0.25444818,0.2551259,0.2578864,0.2615898,0.26201162,0.25426045,0.23538625,0.2093033,0.1874628,0.18309557,0.20157607,0.2343189,0.26388273,0.27446213,0.26240614,0.23716891,0.2157784,0.21216881,0.22944283,0.25875768,0.28608048,0.30185404,0.30540383,0.30288973,0.30059958,0.30135378,0.30424774,0.30760404,0.3101896,0.31154904,0.31104276,0.30837956,0.3036233,0.29760838,0.29096285,0.2842964,0.27826262,0.27412614,0.2731004,0.27538347,0.27991334,0.28468278,0.28808066,0.28951105,0.28967568,0.28915212,0.2862589,0.27720407,0.258724,0.23268087,0.20608926,0.18726741,0.18010843,0.18228334,0.18816155,0.19266647,0.19416161,0.19354697,0.19330744,0.19544725,0.20177893,0.21283239,0.22786956,0.2433116,0.25514463,0.2612605,0.2645648,0.26987168,0.2790159,0.2865013,0.28292695,0.26334012,0.23348771,0.20595735,0.18910535,0.18027724,0.17085493,0.1576704,0.14761169,0.15188318,0.1749589,0.21122688,0.24837142,0.27702188,0.29437754,0.30413663,0.3107672,0.31694177,0.32280716,0.32774428,0.33150053,0.33419403,0.3354745,0.33278477,0.32156757,0.2983702,0.26572695,0.23368835,0.21430995,0.2137801,0.22795999,0.24706244,0.26203826,0.2693793,0.26922753,0.26359555,0.25410634,0.24234194,0.2293101,0.21586609,0.20296882,0.19131178,0.1812517,0.17221552,0.1643529,0.1582246,0.15414236,0.15131237,0.14965408,0.15298004,0.16601078,0.18883336,0.21183242,0.22325623,0.21940257,0.21041702,0.21130288,0.23016138,0.2621813,0.29582617,0.32134685,0.3358973,0.34141076,0.34065938,0.334586,0.32246277,0.30453596,0.28281692,0.26092243,0.24009514,0.2186517,0.19318204,0.16395001,0.13671754,0.12075555,0.12250092,0.1408443,0.16675071,0.18789464,0.19464843,0.18445718,0.16254227,0.13951485,0.12669656,0.13089822,0.15118128,0.1799304,0.20752873,0.22734453,0.2369348,0.23693956,0.2288081,0.21474524,0.19686405,0.17751497,0.15851444,0.1419972,0.12950926,0.12167949,0.11745762,0.11535957,0.11429441,0.11395136,0.11395059,0.1136061,0.1121986,0.10961876,0.10632601,0.10290564,0.09986358,0.098317415,0.101442285,0.1149536,0.14448181,0.19114225,0.24826033,0.30417517,0.34682035,0.36782372,0.36166894,0.32713124,0.2695205,0.20299466,0.14484255,0.10813426,0.09726072,0.11153019,0.14725365,0.19746499,0.24956459,0.2907383,0.31446514,0.32499528,0.33158922,0.34178528,0.35569224,0.36731267,0.3675692,0.34931502,0.3117353,0.26351824,0.22206347,0.20407075,0.2143982,0.23868437,0.2534106,0.24129234,0.20430428,0.15834223,0.122092314,0.10727478,0.11825615,0.1522475,0.19824648,0.23797567,0.25430486,0.24160731,0.20881884,0.17143483,0.14106174,0.12102193,0.10979196,0.105750434,0.108534664,0.116574585,0.12544656,0.12849106,0.12112283,0.10375193,0.083007306,0.06790226,0.06522132,0.07525629,0.09157034,0.104681544,0.10719168,0.09800144,0.0817168,0.06656294,0.06082652,0.07162168,0.101142526,0.14486952,0.19065213,0.22576852,0.24300824,0.24497674,0.2397638,0.2358002,0.23737888,0.24435835,0.2538832,0.26261654,0.26884475,0.27305555,0.27714798,0.28257537,0.28872314,0.2936694,0.29531443,0.29314688,0.28702772,0.27710685,0.26285264,0.24449944,0.2227389,0.19927871,0.17634256,0.15667254,0.14237021,0.13376127,0.12923215,0.12637018,0.12298676,0.11745206,0.10869189,0.09712127,0.084895335,0.07525077,0.0703699,0.07030565,0.07299268,0.07585421,0.07757076,0.079350054,0.08403953,0.09313148,0.103899725,0.11076644,0.11031482,0.106303155,0.10732194,0.12068864,0.14594227,0.17700468,0.20676315,0.23227175,0.2530979,0.26907557,0.27826586,0.27962324,0.2748969,0.268972,0.2661235,0.26770845,0.27194998,0.27728263,0.2830691,0.2882116,0.2874632,0.2729887,0.23979463,0.19264907,0.14629562,0.118156336,0.118736066,0.14533137,0.18479413,0.22015978,0.24015027,0.24251188,0.23373522,0.22241402,0.21479498,0.21145809,0.21115498,0.2130162,0.21900143,0.22890694,0.23886119,0.24112897,0.22993399,0.20546389,0.17530012,0.15209581,0.1467792,0.16277608,0.19344606,0.2277335,0.25694123,0.277758,0.29026648,0.2947651,0.29328054,0.28992793,0.29103836,0.29953954,0.31453106,0.33162555,0.34781244,0.36073795,0.36838672,0.36766043,0.3566021,0.33525988,0.30589768,0.2717046,0.23637582,0.20353986,0.1762888,0.15662687,0.14574039,0.14410733,0.15082549,0.16203944,0.17149653,0.173393,0.16687603,0.1560881,0.14706254,0.14229779,0.14057635,0.13924177,0.1378197,0.13725059,0.13768816,0.13712935,0.13294499,0.12420989,0.112149686,0.099028,0.086738236,0.076351,0.068223074,0.0621464,0.05763617,0.054211985,0.051698614,0.050744276,0.053344265,0.06317822,0.08369618,0.115191974,0.15173048,0.18280272,0.19846082,0.19654508,0.18460631,0.17627692,0.1825191,0.20613219,0.24068813,0.27599308,0.30307856,0.31789312,0.32017568,0.31144533,0.29307273,0.2670209,0.23751622,0.21136975,0.19566137,0.19381584,0.2036529,0.21826792,0.23009796,0.2345287,0.23213899,0.22704403,0.22397374,0.2247362,0.22776079,0.22960834,0.22831267,0.22495866,0.22265463,0.22355418,0.22619082,0.22590971,0.21740542,0.19963564,0.1784028,0.1646341,0.16669168,0.18359782,0.2055827,0.22210032,0.22956263,0.23163037,0.23391534,0.239325,0.24769624,0.25801185,0.26902202,0.2786006,0.28308067,0.27918676,0.2665028,0.24811237,0.22860049,0.21169238,0.19980133,0.19488013,0.1975245,0.20573185,0.21436025,0.21900006,0.21905512,0.21849428,0.22136675,0.22825223,0.23564,0.24049038,0.24328698,0.2482909,0.258641,0.2737647,0.288583,0.29678082,0.29225042,0.2724462,0.2401842,0.20579344,0.18165107,0.1754361,0.1841066,0.19808628,0.20852715,0.21376354,0.21806319,0.2260416,0.23754954,0.24691077,0.24880852,0.24241447,0.23206532,0.21988797,0.20427787,0.1825437,0.15887094,0.14278151,0.14231794,0.1566117,0.17693542,0.19390726,0.20306516,0.20666379,0.21016657,0.21931787,0.23621595,0.25751758,0.27416825,0.27539077,0.25461045,0.21397638,0.16409007,0.119297564,0.0916137,0.086553715,0.102058135,0.1306799,0.16340947,0.1938321,0.21967266,0.2414208,0.25956813,0.27314472,0.280906,0.28271022,0.27998868,0.2737349,0.26279083,0.24379724,0.21527182,0.18186104,0.15572794,0.14915682,0.16613598,0.1971307,0.22635251,0.24115455,0.23910128,0.22505522,0.20606142,0.18746372,0.17255186,0.16288348,0.1582881,0.157609,0.16034585,0.16723329,0.17914362,0.19479083,0.2109508,0.22423007,0.23336972,0.23910104,0.2426069,0.24407466,0.24237238,0.2363045,0.22583033,0.21297842,0.2008778,0.19212396,0.1874975,0.18569928,0.18478794,0.18292163,0.17990236,0.17615177,0.17272915,0.16973042,0.16717349,0.1648311,0.16304807,0.16199772,0.16150278,0.16064562,0.15819861,0.15364404,0.14853032,0.1473617,0.15533262,0.17413597,0.19767995,0.21493687,0.21794719,0.2106803,0.20623238,0.21543182,0.23643403,0.26065877,0.28791967,0.33146057,0.403132,0.49254584,0.56761384,0.59561884,0.56707066,0.49991477,0.4247849,0.3681784,0.33904803,0.33197868,0.332145,0.33030424,0.3249595,0.32309425,0.32989344,0.34435037,0.357761,0.35998964,0.34773624,0.32831505,0.31498337,0.31701934,0.3328639,0.35315076,0.36751732,0.37234578,0.36994436,0.36632264,0.3645502,0.36508194,0.36520302,0.36381805,0.36062542,0.35734534,0.3550668,0.3545513,0.35517812,0.3569031,0.36295584,0.38290155,0.42900416,0.5048618,0.59475905,0.6652305,0.6851335,0.64454734,0.5618103,0.4680672,0.39080086,0.34360382,0.32686663,0.3318086,0.34251785,0.34366837,0.32699284,0.29965925,0.28079513,0.29395166,0.35093072,0.4434053,0.5401898,0.60471696,0.6115245,0.5628403,0.48122963,0.3978524,0.33435306,0.29980412,0.2923027,0.30514014,0.32848215,0.35048237,0.3614854,0.3576927,0.34348115,0.3253476,0.3094144,0.29796973,0.29395285,0.29715824,0.30448905,0.30665183,0.29772657,0.27926588,0.26245454,0.2570437,0.2648675,0.2782158,0.2875848,0.286755,0.2775592,0.26945615,0.28132042,0.32982948,0.4186317,0.5239609,0.60703045,0.6325533,0.5936691,0.510862,0.41946766,0.3472558,0.30572638,0.29034445,0.29073015,0.2963089,0.3001322,0.29783332,0.28934386,0.2788633,0.27430084,0.28335273,0.30871603,0.3451947,0.38077268,0.4038988,0.40975752,0.40221262,0.38729918,0.36878917,0.3476101,0.32622924,0.30825463,0.29520884,0.28352818,0.2681244,0.2479155,0.22881858,0.21981509,0.22740702,0.2514521,0.2872934,0.33042705,0.38211873,0.4475515,0.5277861,0.60944414,0.6666605,0.6746833,0.62861776,0.54678625,0.46046916,0.3932819,0.35253718,0.33073184,0.3180519,0.31024265,0.30907515,0.3173274,0.3345059,0.3603578,0.399879,0.45988998,0.53932375,0.61723286,0.6641939,0.6576111,0.6019621,0.5210191,0.44489446,0.39021814,0.35884616,0.34359,0.33898464,0.34265843,0.3517727,0.3601122,0.36196566,0.35638463,0.34691897,0.3362446,0.32356593,0.3058772,0.28190434,0.2535647,0.22530293,0.20179258,0.18585044,0.17767131,0.1755048,0.17759116,0.18302642,0.19182116,0.20317967,0.21530102,0.22494902,0.23001838,0.23083831,0.23221928,0.24035986,0.2586104,0.28348422,0.3069998,0.32261983,0.32899964,0.32884127,0.32378355,0.31301305,0.29494166,0.272281,0.25297683,0.24628162,0.2557774,0.2757432,0.29580414,0.30765924,0.31018466,0.3066919,0.30172488,0.2976143,0.29544914,0.2953117,0.2973409,0.30034325,0.30177787,0.29786268,0.2858918,0.26549727,0.23943944,0.21258025,0.19018383,0.1757526,0.17028408,0.17369805,0.18598598,0.20611596,0.22911148,0.24673147,0.2522554,0.24558526,0.23291524,0.22140974,0.2148387,0.21290751,0.21398413,0.21661086,0.2196355,0.22184964,0.22228414,0.22111876,0.21934207,0.21814175,0.2179804,0.21855919,0.21930842,0.21955357,0.21906959,0.21783322,0.21624528,0.21461147,0.21291299,0.2112415,0.210263,0.21245064,0.2207803,0.23742215,0.26122057,0.28845873,0.314441,0.3350359,0.34663156,0.34601116,0.33319327,0.31299832,0.2935191,0.28016636,0.2731228,0.2708108,0.27415207,0.2860963,0.30535677,0.3248627,0.3356463,0.33405983,0.32307518,0.30846587,0.29412118,0.2811043,0.27027887,0.26331162,0.2614597,0.26318988,0.26513433,0.26436362,0.26021317,0.25392818,0.24779914,0.2444297,0.2456016,0.25156698,0.26069438,0.27065971,0.2789738,0.28414512,0.28492895,0.28046694,0.26922122,0.2515528,0.23120485,0.21592279,0.2123336,0.22141963,0.23822463,0.25585815,0.27004066,0.27805567,0.2789429,0.27292374,0.2642763,0.25832352,0.25751773,0.25850275,0.25585163,0.24855901,0.24071336,0.23680674,0.23518808,0.23040748,0.21895476,0.20400585,0.19234015,0.18962812,0.19711053,0.2118069,0.22828145,0.24178131,0.2510744,0.2579454,0.2634083,0.26429746,0.2555456,0.23533146,0.20818841,0.1815596,0.16063643,0.14701603,0.1410533,0.1441712,0.15591072,0.17303807,0.19037087,0.20618421,0.22086631,0.23380154,0.23875506,0.22817707,0.19923048,0.15931657,0.123554476,0.10893595,0.12666376,0.17483461,0.23649709,0.28502738,0.30049118,0.28015658,0.23855156,0.19474457,0.16275878,0.14851104,0.14889222,0.15372999,0.14934649,0.13022555,0.10254253,0.08169785,0.08036596,0.10255965,0.14076594,0.1789764,0.19942826,0.1929066,0.169114,0.15429795,0.18110514,0.2651569,0.39486828,0.5284395,0.6192374,0.6372345,0.5863618,0.4940112,0.3936789,0.30887774,0.2494433,0.2162965,0.20605813,0.21441776,0.23610924,0.2655406,0.29740226,0.32819632,0.3558967,0.37911108,0.3953416,0.40297243,0.4030285,0.40052035,0.3997781,0.40062276,0.3966904,0.38161504,0.35418472,0.32061675,0.28903154,0.26459974,0.24750495,0.23563258,0.22785361,0.22515535,0.23085535,0.24775298,0.27603963,0.31164607,0.35079458,0.39544633,0.453065,0.52683926,0.6037677,0.65668327,0.65949863,0.6064684,0.5150083,0.41454622,0.3288951,0.26887968,0.23376238,0.2190197,0.22042407,0.23496497,0.25870454,0.28828335,0.32437158,0.37414768,0.44322634,0.5257463,0.5987436,0.63591164,0.62294406,0.5684813,0.4948466,0.42538837,0.37303126,0.340165,0.3238207,0.32018363,0.32623148,0.336683,0.34501687,0.345078,0.33542958,0.3188032,0.30004957,0.2826502,0.26737848,0.2537782,0.24282463,0.23875846,0.24601626,0.26476657,0.28760374,0.30404112,0.3071214,0.29952788,0.29013026,0.28708175,0.292411,0.30614588,0.33444086,0.3877368,0.46872386,0.55830127,0.6228374,0.6345772,0.590885,0.5128558,0.42920628,0.36208567,0.32059225,0.30433536,0.30637935,0.31745958,0.32859603,0.33338723,0.32890558,0.31382528,0.28897488,0.2584577,0.23168524,0.21900289,0.22611564,0.2500272,0.2820859,0.31198016,0.33166936,0.33729455,0.33115268,0.32025203,0.31205288,0.30975258,0.31234488,0.3170428,0.32092753,0.3204875,0.3129392,0.30020827,0.28988704,0.29162285,0.31169805,0.35386315,0.41953483,0.50496984,0.59280235,0.6555763,0.6678112,0.6243699,0.54238415,0.45337546,0.38427266,0.34839585,0.3415992,0.3516725,0.36522916,0.3752006,0.37964725,0.38224554,0.39038953,0.41597542,0.4669511,0.5401089,0.6134408,0.6582605,0.65308076,0.60007834,0.52119845,0.44666544,0.3978983,0.37954834,0.38327548,0.39528903,0.4047501,0.40361264,0.38861284,0.36097097,0.32757035,0.29672405,0.27357888,0.25804484,0.24716516,0.239067,0.2344237,0.23519598,0.24259913,0.25632417,0.2749718,0.29625177,0.31654367,0.3317053,0.3387619,0.33872554,0.33710024,0.34379137,0.37123525,0.4280158,0.51044893,0.59534365,0.65011233,0.6497782,0.59487504,0.50802845,0.42010042,0.35274068,0.3127842,0.29492345,0.2896168,0.28877208,0.28887078,0.2893212,0.2904045,0.29107597,0.29014292,0.28780594,0.28647375,0.28922233,0.29812244,0.31303528,0.33168098,0.34919176,0.36030582,0.36157334,0.35456982,0.34356534,0.33240163,0.32118776,0.30862725,0.2961986,0.2895379,0.29522005,0.31403482,0.33984295,0.36312982,0.37958393,0.3943757,0.42105588,0.47157463,0.5457365,0.6245618,0.6785442,0.68156904,0.62833154,0.5357594,0.43687212,0.36053535,0.3218001,0.31592894,0.3292785,0.34539938,0.35353574,0.34979215,0.34077343,0.3426756,0.37456998,0.4448847,0.5406427,0.62825745,0.67186594,0.6524854,0.580886,0.48639083,0.40081453,0.34047267,0.30728808,0.29587844,0.3024521,0.32413924,0.3547882,0.38522872,0.40648475,0.41455886,0.4086636,0.39121604,0.36639473,0.34212294,0.32637355,0.32394388,0.33250546,0.34495553,0.35343304,0.35363302,0.3456322,0.33264577,0.31875658,0.30718556,0.2988172,0.29225004,0.28443947,0.27231544,0.2542791,0.23119766,0.20663251,0.18452083,0.16690029,0.15266311,0.1402961,0.13143294,0.13149399,0.14576848,0.1731465,0.2044719,0.22622909,0.2281674,0.20816518,0.17294937,0.13490675,0.106981784,0.09761233,0.106974185,0.12767147,0.14899437,0.16306932,0.16758476,0.16477604,0.15768324,0.14825465,0.13769917,0.12855192,0.12485338,0.12958008,0.14078152,0.1510686,0.15236272,0.14276688,0.1288919,0.12127546,0.12581007,0.13935001,0.15213175,0.15594868,0.14936538,0.13717134,0.12464524,0.11376998,0.103566624,0.09280911,0.081783,0.071595944,0.06361916,0.058735814,0.057626326,0.060015816,0.06463567,0.06926919,0.0718341,0.07165989,0.07088688,0.07512922,0.09148738,0.12379774,0.16825186,0.21405768,0.2503514,0.27229807,0.28243008,0.28472862,0.28090784,0.26952317,0.25156268,0.2333778,0.22650908,0.24017204,0.27438444,0.31840396,0.35723624,0.38013086,0.3830861,0.36649346,0.33125567,0.28035086,0.22136539,0.16751395,0.13313262,0.12679817,0.14681844,0.18105607,0.21349555,0.23089266,0.22900039,0.21172889,0.18810469,0.16644703,0.1521138,0.14694397,0.1504029,0.15924938,0.16771285,0.16962641,0.16221772,0.14762203,0.1308404,0.11596111,0.104630716,0.09656005,0.09104233,0.087365456,0.08496848,0.08331055,0.08197257,0.08058902,0.07878549,0.07624666,0.072861515,0.068941124,0.06515988,0.062257703,0.06065384,0.06024139,0.060624417,0.061321054,0.06194656,0.062120225,0.061468378,0.059763353,0.056976702,0.05338334,0.04935351,0.04536034,0.041816812,0.039091837,0.03731763,0.036329653,0.03566831,0.03486164,0.03369185,0.032268804,0.030854695,0.029522471,0.028172158,0.026602732,0.024928441,0.02348377,0.022755152,0.022917517,0.02379711,0.024873728,0.025605345,0.02559699,0.024760986,0.023276383,0.021527419,0.01989008,0.018623887,0.018228203,0.02077418,0.030769998,0.053707223,0.09062014,0.13507368,0.17529166,0.20414984,0.22331329,0.24073295,0.260438,0.27985296,0.29316196,0.29800686,0.29666913,0.29319903,0.29039335,0.2892984,0.2902259,0.29300165,0.29626167,0.29706386,0.29300395,0.28387925,0.2712829,0.25479582,0.23219413,0.20463014,0.1812117,0.17479765,0.1906114,0.22131395,0.25222445,0.2736809,0.28570274,0.29501215,0.30629444,0.31787625,0.32349062,0.31820536,0.30352637,0.28607252,0.2728022,0.2652665,0.25985986,0.25245148,0.2439614,0.24115872,0.25039712,0.27133816,0.2942644,0.30735424,0.3031241,0.2832861,0.25396875,0.22249651,0.1930818,0.16840447,0.14883107,0.13416623,0.12294147,0.11423192,0.107462496,0.1030457,0.101220995,0.101605356,0.102842934,0.10334014,0.10269136,0.10259781,0.107092045,0.11968529,0.1406009,0.16436793,0.18330355,0.19184214,0.19067262,0.18471928,0.17939262,0.17724007,0.1778229,0.1797443,0.1817692,0.18383978,0.18610318,0.18897413,0.19219524,0.19537576,0.19797826,0.19993019,0.20126188,0.20197631,0.20185597,0.20095976,0.19980408,0.1993502,0.20001496,0.20126642,0.20147075,0.19955607,0.1956517,0.19124235,0.18708134,0.18243589,0.17564146,0.16631787,0.15629114,0.14820687,0.14369456,0.14244683,0.14380817,0.147368,0.15327351,0.16074376,0.16863088,0.17576425,0.18227427,0.18867202,0.19535722,0.20152552,0.20606732,0.20806544,0.20793404,0.20696501,0.20679061,0.20780842,0.208881,0.20807631,0.20479079,0.20060395,0.19815265,0.19923438,0.20343168,0.20936538,0.21530402,0.22114472,0.2273308,0.23516063,0.24463594,0.25485867,0.26345304,0.2680166,0.2669029,0.2602702,0.24955583,0.23627867,0.22094788,0.20372869,0.18505044,0.16630846,0.14863344,0.13298152,0.11968889,0.109261535,0.10185978,0.097159274,0.09433693,0.092509426,0.091347136,0.09093138,0.0916866,0.09388056,0.097347505,0.10116308,0.10397712,0.104842395,0.10402971,0.10275021,0.10235693,0.10315642,0.10513235,0.10834532,0.11426734,0.123283684,0.13479847,0.14705415,0.1625363,0.18590306,0.21921003,0.25315633,0.27148056,0.26259926,0.23118119,0.19558726,0.17480339,0.17756784,0.1993816,0.2295578,0.2564272,0.27364978,0.28025505,0.28160313,0.28378126,0.290082,0.29745242,0.30018815,0.2935625,0.27745184,0.25479832,0.23128384,0.21354902,0.20811735,0.21600561,0.23049343,0.23937447,0.23347078,0.21226853,0.18324238,0.15533926,0.13279027,0.11391916,0.09463528,0.07352581,0.052988645,0.03683346,0.026666582,0.02143169,0.0189471,0.017687282,0.017105259,0.017757026,0.021819087,0.033140775,0.05523002,0.08738879,0.12312656,0.15272528,0.16969132,0.17371304,0.1697591,0.1628765,0.1562116,0.15051916,0.14629392,0.14389338,0.14367269,0.14521499,0.14752425,0.1492845,0.14937621,0.14719655,0.14273399,0.136648,0.13000241,0.12402678,0.11951926,0.11662518,0.114763886,0.113060705,0.11074733,0.107410796,0.10301852,0.09777421,0.092114955,0.08655074,0.081579186,0.07744361,0.07418958,0.071764834,0.07025319,0.07015323,0.072684795,0.079993784,0.094035245,0.11542261,0.14268653,0.17421526,0.20906915,0.24586672,0.2791407,0.29946002,0.2985327,0.27608564,0.24145941,0.20701735,0.1802413,0.16064095,0.14584576,0.13679433,0.13675284,0.14415924,0.15090068,0.1500475,0.14428912,0.14479385,0.1603065,0.18855067,0.21796627,0.23606528,0.23808865,0.22930591,0.22325264,0.23175077,0.25537273,0.2785927,0.28283402,0.2619988,0.2305483,0.20908289,0.2078437,0.2186325,0.22568764,0.2182792,0.19821705,0.17556591,0.16198416,0.16275144,0.1750926,0.18867318,0.1931008,0.18214564,0.15778312,0.12705484,0.10334892,0.105475284,0.15724035,0.27056643,0.43109885,0.5910773,0.6962643,0.71408653,0.65389234,0.55173105,0.44888005,0.37148884,0.3279113,0.31256247,0.31405142,0.32136253,0.32784387,0.331535,0.3335531,0.33545777,0.33805534,0.34085873,0.3434212,0.34587884,0.35002312,0.35779977,0.3691741,0.3799856,0.38357878,0.375945,0.35925326,0.340511,0.32612205,0.31792414,0.3141922,0.31218156,0.3112053,0.3115055,0.31342372,0.31551537,0.31642136,0.3185999,0.3311373,0.3685349,0.43923998,0.5365872,0.6324849,0.6929221,0.6934069,0.6373496,0.5487761,0.46036458,0.39249432,0.3505093,0.32778767,0.317199,0.31384325,0.3156577,0.3210275,0.33178297,0.3547925,0.40136027,0.47651014,0.5701862,0.65339965,0.69343,0.67012423,0.591101,0.48399696,0.383518,0.3119038,0.27682146,0.27327278,0.29174843,0.31829393,0.33771276,0.33885908,0.32182425,0.29639134,0.274657,0.26263613,0.26024,0.2632896,0.26845992,0.27298304,0.27616358,0.27732408,0.27700612,0.27560696,0.27430403,0.27347827,0.27336633,0.2734246,0.2740135,0.27848032,0.29560602,0.33845028,0.4132386,0.5104847,0.60062,0.6518794,0.64469194,0.5853219,0.49604443,0.40548134,0.3335477,0.28859422,0.26740786,0.26189008,0.26365054,0.26738715,0.27113566,0.27567485,0.2821648,0.29034433,0.29762006,0.30118862,0.30036864,0.29824495,0.30038404,0.31033933,0.32578075,0.33729288,0.33549583,0.31743917,0.2900885,0.2641608,0.2476474,0.24192548,0.24331628,0.24724503,0.25094494,0.2547711,0.25964797,0.2657071,0.27384987,0.2901118,0.32728842,0.39531422,0.48997197,0.5857444,0.6491201,0.6556112,0.605552,0.5195713,0.42757645,0.3525976,0.30550063,0.2843192,0.28106785,0.28631428,0.29353663,0.3003904,0.31046283,0.3333219,0.38084054,0.45741844,0.5518306,0.63667995,0.6824508,0.67205024,0.6111799,0.5225422,0.43511057,0.3704102,0.3371791,0.3322346,0.34489104,0.36164096,0.36945447,0.36203027,0.34217584,0.31993198,0.30402473,0.29664335,0.29408205,0.29182187,0.28793505,0.28277376,0.27681923,0.2701675,0.26249567,0.2545158,0.24703234,0.24108385,0.23700583,0.23475343,0.23443566,0.23904915,0.25745103,0.3039795,0.38658336,0.4961072,0.6004582,0.6641075,0.66455144,0.60813385,0.5187138,0.42771068,0.35720253,0.31686246,0.30222818,0.30274928,0.3080376,0.31323388,0.31745565,0.32195774,0.32658407,0.33051005,0.33153388,0.32861954,0.32211292,0.3154887,0.31434283,0.32194713,0.33535782,0.34375584,0.33811316,0.31759453,0.29238462,0.27323315,0.26475325,0.2636876,0.26480028,0.26539293,0.26546144,0.2662286,0.26775953,0.2697675,0.2743356,0.28966546,0.33065525,0.40816483,0.51753384,0.6291819,0.7034618,0.70913166,0.6460242,0.54051685,0.43255004,0.35024083,0.3023473,0.27990937,0.270964,0.2673497,0.26648867,0.268056,0.27567065,0.29921192,0.35262445,0.44123134,0.5512673,0.648329,0.6962841,0.67419934,0.59057194,0.47403494,0.3617498,0.2800752,0.24009895,0.23784591,0.2610893,0.2928708,0.31476593,0.31538892,0.2957748,0.269035,0.24854533,0.2399891,0.24017888,0.2433635,0.24597763,0.24729054,0.24793833,0.24811864,0.24772589,0.2466188,0.24522601,0.2440596,0.24338293,0.24302872,0.24341927,0.2483387,0.2671811,0.31365478,0.3943124,0.49873614,0.5954146,0.64974445,0.640656,0.5750708,0.47804382,0.38050833,0.30286267,0.2519547,0.22312273,0.20752907,0.19731604,0.18783498,0.17771856,0.16777289,0.15957592,0.15447313,0.15275875,0.15406005,0.15877588,0.16955513,0.19149685,0.22526737,0.26285404,0.2867092,0.28421554,0.25611892,0.218354,0.18738519,0.17132904,0.16760588,0.17006868,0.173705,0.17633726,0.17737173,0.17693901,0.17578949,0.17862125,0.1966771,0.24835528,0.34548795,0.48049593,0.6166906,0.7079444,0.7203602,0.6550436,0.54040354,0.41777253,0.3187182,0.2573367,0.23006637,0.22500901,0.23022501,0.23798601,0.24616353,0.25862065,0.28680208,0.34485233,0.43853,0.553703,0.65646935,0.70972276,0.69220287,0.61168367,0.49778962,0.38762453,0.30695334,0.26537296,0.2591029,0.2775052,0.30505192,0.3232553,0.31908932,0.292717,0.25723198,0.2274344,0.21016298,0.20334685,0.20183186,0.20224786,0.20354897,0.20531227,0.20702337,0.20824967,0.20927466,0.21042597,0.2115948,0.21224599,0.21225625,0.21301389,0.21969016,0.24332571,0.29973972,0.39763394,0.5259045,0.64744014,0.7176344,0.7085908,0.6281521,0.5119281,0.4019332,0.32549596,0.28787747,0.27946284,0.28566858,0.295526,0.303279,0.3073409,0.3089482,0.31000686,0.31278646,0.31719497,0.3221312,0.32603157,0.33037534,0.3386407,0.35280657,0.36946785,0.3800844,0.37854373,0.36544463,0.34884557,0.33598456,0.32982394,0.32778856,0.327041,0.3259283,0.32551,0.32671955,0.33032012,0.33526966,0.34355918,0.36165598,0.40306875,0.4756702,0.5737018,0.6679923,0.7236511,0.7147779,0.64700365,0.5480456,0.45605537,0.3932133,0.3634937,0.35487875,0.35542202,0.35694548,0.35750648,0.35786638,0.36340037,0.38409647,0.43176588,0.50942713,0.6029992,0.6808722,0.71138453,0.6795818,0.5991484,0.50056994,0.41616347,0.36304533,0.3424069,0.34488356,0.35819384,0.37185708,0.37775436,0.3738831,0.3631657,0.35218593,0.34467593,0.3409636,0.338855,0.33754003,0.3367665,0.33663198,0.3357358,0.33377728,0.33097985,0.32954988,0.3301966,0.33293834,0.33564997,0.3369919,0.33643243,0.33807588,0.35141382,0.39064166,0.46300307,0.5596892,0.6507244,0.7008926,0.68543863,0.6070319,0.4904314,0.37181255,0.2787884,0.22243977,0.19714278,0.19027841,0.19018446,0.18981475,0.18673651,0.18145372,0.17617434,0.17254794,0.17093115,0.17041172,0.17159104,0.17804146,0.19656296,0.22980721,0.27165732,0.3055349,0.3174859,0.30468634,0.2783183,0.2519484,0.23332083,0.22220819,0.21507935,0.20956188,0.20541678,0.20352314,0.20364352,0.2044493,0.20840363,0.22661072,0.2789024,0.37756476,0.5128971,0.6447406,0.7254188,0.722759,0.6433266,0.5212526,0.4010943,0.31153524,0.2604877,0.23837076,0.23207033,0.2312649,0.23094188,0.23049146,0.23600698,0.2618364,0.32432804,0.42813563,0.5541516,0.66301185,0.715076,0.6918726,0.6064947,0.4931586,0.38962922,0.31918,0.28701186,0.28544053,0.30207136,0.32369462,0.33730206,0.33509156,0.31847823,0.29799983,0.28528008,0.28535444,0.2952282,0.30813012,0.31968018,0.32896397,0.3367921,0.34249488,0.3441418,0.34036174,0.33124134,0.31775483,0.30031368,0.27929285,0.25669864,0.24036132,0.24547537,0.29084435,0.38313076,0.50551313,0.6166453,0.6745289,0.6579059,0.5785871,0.46893278,0.36383525,0.28604016,0.24115342,0.22356583,0.2215649,0.22579913,0.22950055,0.23092757,0.23021461,0.22942239,0.22984149,0.23193477,0.23514128,0.23952515,0.24726577,0.26222017,0.28541556,0.31146356,0.32851815,0.32793236,0.3097951,0.2846072,0.26309523,0.25121316,0.24742909,0.24806368,0.24995033,0.25279555,0.2577162,0.2655983,0.27610287,0.29087114,0.31748152,0.36962256,0.45559338,0.5668557,0.6718753,0.7326841,0.7232751,0.64819473,0.5358911,0.42529523,0.3438423,0.30087802,0.28917924,0.29599068,0.3097891,0.32333067,0.33445224,0.3471831,0.3722705,0.4214871,0.49778366,0.5868086,0.65872234,0.68314344,0.6459775,0.55909675,0.45218277,0.3568368,0.29243895,0.26332304,0.2650829,0.2875832,0.3175812,0.33847228,0.33996257,0.32229337,0.29696774,0.275489,0.26368487,0.25956026,0.25959268,0.26109275,0.26431748,0.26944366,0.27602324,0.2817566,0.28445163,0.28326753,0.27891222,0.27328193,0.26783267,0.264171,0.26238817,0.26132405,0.257349,0.2473641,0.23079276,0.21139757,0.1942203,0.18265383,0.17692345,0.1760617,0.17937659,0.18622886,0.1945126,0.20071517,0.20155136,0.19661288,0.18881887,0.1828491,0.18131769,0.1830907,0.18439661,0.1822993,0.17659609,0.16924901,0.16237317,0.15703164,0.15341254,0.15263765,0.15729053,0.1700006,0.1889273,0.20680581,0.21417074,0.20727153,0.19014783,0.17176992,0.15757562,0.14775126,0.13839753,0.1278861,0.116758056,0.10737979,0.09995798,0.093836695,0.08775681,0.081926785,0.076813854,0.07291522,0.07043519,0.07017392,0.07430461,0.08557763,0.10529351,0.13064827,0.15467368,0.17024402,0.17402725,0.16872992,0.15874065,0.14769082,0.13586344,0.12380055,0.11275002,0.10538391,0.102310784,0.101652496,0.0997887,0.094775856,0.087185055,0.07938528,0.07292981,0.06829294,0.06495432,0.06299147,0.06251793,0.06370542,0.065551795,0.066540204,0.06492789,0.06021886,0.052999422,0.044915438,0.03736867,0.031452518,0.027429372,0.025285706,0.024613244,0.024977548,0.025767727,0.026363509,0.026255421,0.025346959,0.023911662,0.022388538,0.020933613,0.019698188,0.019385355,0.022209851,0.031113997,0.04778329,0.07009215,0.092467576,0.10882366,0.1162301,0.11577251,0.11068266,0.10382569,0.09668252,0.08978462,0.08344185,0.077910535,0.07329593,0.06935946,0.06573755,0.06205344,0.058188945,0.05418244,0.05026174,0.04665794,0.043618172,0.04123218,0.039428785,0.037940886,0.036503598,0.0349606,0.03333101,0.03169026,0.030082883,0.028475896,0.02681969,0.025122814,0.023485018,0.022045096,0.020870904,0.019898443,0.01896098,0.017904593,0.016681561,0.015371908,0.01412812,0.013086282,0.01230017,0.01171542,0.011209781,0.010657628,0.009990716,0.009208076,0.008352842,0.0074633397,0.0065437765,0.0055574565,0.0044757747,0.0033295874,0.0022383064,0.0013614083,0.0008228398,0.0006417011,0.00072323665,0.00089806673,0.0010011583]