[0.009693858,0.020396994,0.046847712,0.08587847,0.12738703,0.1590299,0.17207408,0.16683598,0.1487204,0.12387828,0.096451245,0.070796445,0.05319194,0.050059255,0.063724585,0.08935041,0.11755558,0.13945831,0.1507632,0.1502207,0.13804087,0.11603432,0.09090606,0.07410657,0.0761323,0.09841431,0.12949812,0.15112418,0.14991535,0.12664653,0.09559224,0.075015284,0.075481646,0.094060294,0.1168858,0.12915863,0.12338368,0.10253977,0.07513619,0.049621344,0.030461123,0.018408025,0.012006625,0.009308975,0.009512821,0.014187757,0.027708886,0.05359298,0.08980707,0.12550022,0.14655851,0.14402501,0.120565124,0.08710741,0.0554031,0.031898186,0.017312048,0.00940192,0.005524028,0.00454333,0.0078505,0.020055702,0.045585934,0.08358506,0.12353647,0.14985518,0.15111375,0.12919384,0.098197915,0.07690757,0.07700169,0.097819984,0.12700607,0.15093978,0.16259934,0.16410936,0.15948923,0.14893244,0.12991452,0.10390655,0.08093343,0.07526811,0.09542652,0.13616471,0.18047498,0.21051915,0.21808885,0.20548713,0.17970644,0.14656633,0.112139285,0.08448153,0.073165506,0.082056135,0.105186254,0.12738723,0.13461988,0.12155834,0.09452618,0.06427129,0.039661027,0.0237709,0.015528973,0.012057134,0.010908921,0.012081828,0.019278692,0.039204184,0.07557145,0.122666754,0.16354375,0.18002544,0.16469471,0.12660973,0.08297386,0.04786232,0.025677951,0.01385823,0.007939409,0.005071774,0.0054280423,0.012796019,0.03395464,0.07284234,0.123920016,0.16955698,0.19004978,0.1763409,0.13692819,0.089925714,0.051083904,0.026233448,0.01322437,0.0072050425,0.0044132816,0.0029438203,0.002078725,0.0015938756,0.0013845265,0.0013503898,0.0013977851,0.0014631631,0.0017144643,0.003741544,0.011627194,0.031812046,0.06801466,0.11634777,0.16415083,0.19816093,0.21371616,0.21697998,0.21941966,0.22746171,0.23971264,0.24655391,0.23912244,0.21527572,0.18349892,0.15622507,0.14035465,0.13297816,0.12521453,0.111771174,0.09623862,0.08983568,0.10273963,0.13617413,0.18098281,0.22348888,0.2519749,0.25987098,0.24661137,0.21861635,0.18808359,0.16850163,0.1673305,0.18205403,0.20152052,0.21328652,0.21204841,0.20196223,0.19380896,0.1960368,0.21007751,0.22725369,0.23433326,0.22224426,0.19375455,0.16190164,0.13921143,0.12882881,0.12384328,0.1156469,0.102512754,0.0918577,0.094257124,0.11471411,0.1492093,0.18792768,0.22059965,0.23820789,0.23555948,0.2145796,0.1873085,0.17031245,0.17451876,0.19755584,0.22546208,0.24189542,0.23841757,0.21851403,0.19493376,0.18042046,0.17963754,0.18605125,0.18777691,0.17947792,0.16727923,0.16430996,0.17715704,0.20125587,0.22425862,0.23465228,0.2253887,0.19564182,0.152366,0.11086591,0.08995033,0.101339184,0.14038712,0.18501602,0.20846988,0.19619979,0.15659842,0.114952,0.09728583,0.11364319,0.15224512,0.18721402,0.19556612,0.17279516,0.13514304,0.10926174,0.11353859,0.14839648,0.19570465,0.23383917,0.24935621,0.24416883,0.22773325,0.20909508,0.19096525,0.17232734,0.15233988,0.13298954,0.11882772,0.11557603,0.12930356,0.16199252,0.2074943,0.24937828,0.27037522,0.26300207,0.23532392,0.20328282,0.1793526,0.16576988,0.15661283,0.14500198,0.1288942,0.11230046,0.10290698,0.10860322,0.13398425,0.17622934,0.22342066,0.25907806,0.27177477,0.26168793,0.23855062,0.21312474,0.19015265,0.16769378,0.14138173,0.11017863,0.07874959,0.057158913,0.05698192,0.085006475,0.13566731,0.1894929,0.22264111,0.22292608,0.19729646,0.16480963,0.14144164,0.13103734,0.1267081,0.11815784,0.09987929,0.07398161,0.050213158,0.04073592,0.055774808,0.09645057,0.15256698,0.20464587,0.2358669,0.24076374,0.22715999,0.20679154,0.18678688,0.16666454,0.14228483,0.11186588,0.0787047,0.05113237,0.03854563,0.047612906,0.07674522,0.11553564,0.14821309,0.16416179,0.16309488,0.15407579,0.14642322,0.14332135,0.14069165,0.13130766,0.11117423,0.082586445,0.055141702,0.04147068,0.053385153,0.09327114,0.15116769,0.20538904,0.23721431,0.24033873,0.22447611,0.20321165,0.18492533,0.16846347,0.14837228,0.12094444,0.089073114,0.06334198,0.058951426,0.08770984,0.14750667,0.21888201,0.27353403,0.29294628,0.2782896,0.24746174,0.22067101,0.20971519,0.21265578,0.21571563,0.20313852,0.17042,0.13266835,0.11545181,0.13771567,0.19647056,0.2703033,0.33147353,0.36290827,0.36234295,0.34148714,0.31652632,0.30307397,0.30788514,0.32839704,0.35330105,0.37301365,0.3835541,0.38809526,0.39068532,0.393752,0.39642584,0.39526412,0.3862954,0.3696301,0.349202,0.3294704,0.30795273,0.2804217,0.24632597,0.21503627,0.1966513,0.19439141,0.20088337,0.2074678,0.21166618,0.21799381,0.22906041,0.24030851,0.24327584,0.23434144,0.2178985,0.20113099,0.18661301,0.17071325,0.1476963,0.11621907,0.08134899,0.05417934,0.047249954,0.06973146,0.11892294,0.17804281,0.22159733,0.2330717,0.21461451,0.18535383,0.16485544,0.16213906,0.1737114,0.18994564,0.20185643,0.20520532,0.20384108,0.2089318,0.23106171,0.27032813,0.3115014,0.33565852,0.333035,0.31045762,0.28181085,0.2586033,0.24372526,0.23355444,0.220203,0.19586672,0.1578982,0.114416175,0.08293674,0.08392986,0.12475576,0.19384575,0.26140523,0.30304658,0.31194794,0.3026313,0.290962,0.2816271,0.26745033,0.241629,0.2094522,0.18471207,0.17930777,0.19170696,0.21059315,0.22465543,0.22947447,0.22497882,0.21121956,0.18967605,0.16592671,0.14811288,0.14039542,0.13924049,0.13559389,0.12175285,0.09667077,0.06753596,0.04659156,0.0466126,0.073585235,0.12235246,0.1755826,0.21405685,0.22702165,0.21873908,0.20138495,0.18578671,0.17426856,0.16313498,0.14829083,0.13026954,0.11410388,0.106093146,0.11275083,0.13861358,0.18458919,0.24147363,0.29211733,0.31774542,0.3115578,0.28250903,0.25196767,0.23875855,0.24897195,0.27243438,0.29331484,0.3008314,0.29592267,0.2888458,0.29262874,0.31457773,0.3496252,0.38165775,0.3948013,0.3841764,0.35854223,0.33051875,0.30829814,0.29230168,0.28004268,0.2718161,0.27160284,0.28376463,0.30629978,0.33209077,0.35196984,0.36101487,0.35760882,0.3430917,0.32019618,0.29324818,0.26860142,0.25268784,0.2509,0.26227057,0.28051412,0.29566953,0.30230728,0.30072132,0.298527,0.30258545,0.3162555,0.33267546,0.3432629,0.34109294,0.32885623,0.3122647,0.29796493,0.28840634,0.28337672,0.279758,0.27383593,0.26332736,0.24992813,0.24006723,0.24071781,0.2536079,0.27067497,0.2801504,0.27504078,0.2593113,0.2431782,0.23525357,0.23615462,0.2383259,0.23065998,0.20639159,0.16976772,0.13693927,0.12838912,0.15480573,0.2085262,0.2657695,0.30415365,0.31511855,0.30655655,0.29033157,0.27376541,0.25788495,0.2422841,0.2273841,0.2126782,0.19608653,0.17650318,0.1592779,0.15452816,0.1694398,0.19851135,0.22637004,0.23858176,0.23264407,0.21612327,0.19810413,0.1811766,0.16209257,0.13648024,0.10464924,0.07261058,0.050496403,0.047895417,0.06897821,0.10827219,0.1512505,0.18150331,0.19070315,0.18317437,0.1720543,0.17060964,0.18477736,0.21197279,0.24351005,0.2722956,0.2939801,0.3089068,0.31785333,0.32510135,0.33423886,0.34634683,0.35473266,0.351221,0.33283386,0.30694544,0.28624064,0.27989337,0.28753063,0.29920176,0.30434087,0.29787347,0.2836922,0.2683999,0.2587745,0.25740325,0.2628868,0.26762852,0.2635542,0.24795984,0.22810686,0.21570224,0.21819419,0.23328424,0.2504576,0.25898352,0.25380337,0.2388174,0.22361626,0.2204145,0.23612653,0.2676275,0.29824775,0.3095636,0.29283777,0.2585399,0.22678602,0.21476616,0.22420381,0.24248368,0.25107393,0.23818952,0.20600678,0.16969661,0.14987187,0.15936862,0.19546223,0.23780525,0.26385263,0.26158512,0.23790896,0.20760103,0.18298393,0.16586733,0.15121257,0.1322556,0.10741804,0.08327194,0.074267566,0.0949935,0.14900649,0.22119431,0.2835053,0.31217787,0.30253837,0.26871625,0.23026466,0.19921458,0.17673104,0.15720525,0.13442637,0.10595531,0.07591635,0.055070117,0.058185145,0.09663433,0.16842143,0.25374737,0.3230406,0.35662916,0.35507455,0.33530998,0.3117133,0.28822985,0.26086977,0.22920303,0.19951914,0.1782772,0.16736834,0.16418801,0.17120738,0.19270287,0.22827317,0.2636247,0.28073302,0.27045694,0.24056913,0.20647474,0.17914772,0.15866916,0.13826449,0.11280466,0.08405495,0.061514225,0.057483464,0.08122829,0.1302068,0.18959343,0.23827541,0.26541987,0.27323177,0.27343628,0.2732414,0.27638504,0.2810721,0.28239986,0.26900494,0.23331536,0.1811523,0.13578115,0.12359807,0.15608191,0.2201764,0.28685212,0.33039048,0.34224895,0.33049402,0.30766258,0.2808634,0.25217235,0.22414993,0.20571005,0.20580216,0.22742538,0.2602944,0.29119435,0.31008545,0.3175713,0.31645334,0.31175593,0.30642208,0.30435184,0.30506527,0.30584285,0.30169678,0.28948835,0.26763073,0.23784399,0.20606716,0.18331783,0.18181741,0.20820932,0.2551153,0.3033565,0.33222833,0.3350035,0.3197157,0.30046797,0.28399217,0.26751438,0.24383384,0.20945664,0.16848654,0.13132714,0.110382386,0.114935495,0.14638413,0.1955151,0.24354605,0.27153826,0.27050254,0.24673404,0.21463613,0.18750386,0.16973902,0.15803261,0.14409095,0.12211848,0.09312264,0.06825297,0.064154446,0.09399229,0.15714861,0.23623882,0.3064532,0.34981596,0.36315823,0.3533957,0.32821825,0.2918456,0.24784987,0.20293213,0.16823958,0.15353782,0.16231139,0.18689175,0.21551402,0.23729296,0.24944967,0.25374636,0.25661966,0.26247278,0.2721583,0.2789316,0.27535495,0.25872108,0.23576136,0.2186339,0.21659714,0.23120491,0.2537643,0.27541077,0.289467,0.29578137,0.29198667,0.27682367,0.25069734,0.22079943,0.19505076,0.17710775,0.16358536,0.14759488,0.12460091,0.09566021,0.06911972,0.057225157,0.072044075,0.11502451,0.17354752,0.22266574,0.24355154,0.2342565,0.21265621,0.19980471,0.20661819,0.22774088,0.24981637,0.26354125,0.27013388,0.27935055,0.30123737,0.3400848,0.38880798,0.42981395,0.44072935,0.41073838,0.3488213,0.28210533,0.2373494,0.22718231,0.24436365,0.27078906,0.2897192,0.29410836,0.28842452,0.2833165,0.29229453,0.31982508,0.3590229,0.38842544,0.39325535,0.37162593,0.34007946,0.31321073,0.29862848,0.29326263,0.2929604,0.29434478,0.29520863,0.29478475,0.29468226,0.30268857,0.32287288,0.35090777,0.36666682,0.35467675,0.31217715,0.25627497,0.20364527,0.16451915,0.13816053,0.12112727,0.10738817,0.09186652,0.07478778,0.06623897,0.08372397,0.13527936,0.20934474,0.27223015,0.29547822,0.2713441,0.22060537,0.1687813,0.13346216,0.115862615,0.10974414,0.105353475,0.09645134,0.08440325,0.08129674,0.10427932,0.16172318,0.24254848,0.31769136,0.359426,0.35928166,0.33193502,0.3004599,0.28088537,0.27648792,0.28233722,0.28969002,0.2902449,0.27952316,0.26304713,0.2558265,0.27308574,0.31499583,0.3620213,0.3880581,0.38209534,0.3549398,0.327198,0.3096292,0.29808763,0.28158426,0.25496033,0.2239703,0.19981831,0.19331531,0.20855868,0.24614805,0.29636595,0.34234715,0.35994586,0.339867,0.28974622,0.23326053,0.18719053,0.15796475,0.14034592,0.12708195,0.11109675,0.08978749,0.06951096,0.06536635,0.09607875,0.16285907,0.24468029,0.3005074,0.30654988,0.26632732,0.21320866,0.17631696,0.17015503,0.1882271,0.21661407,0.24111801,0.2537068,0.25578076,0.254958,0.26496074,0.2918863,0.33120498,0.35962307,0.35784277,0.32005337,0.2654517,0.2175923,0.19511004,0.19994007,0.2232302,0.24651499,0.25276324,0.23475976,0.20441054,0.18773685,0.20575428,0.2572117,0.31400087,0.347661,0.34748456,0.32821962,0.30705878,0.29325503,0.28510776,0.2809137,0.28002396,0.28083077,0.27977583,0.2759392,0.2771994,0.2937571,0.3275082,0.36122608,0.37144387,0.34547576,0.29369053,0.23774384,0.19515578,0.16956359,0.15428941,0.13940503,0.11989728,0.10071161,0.09693345,0.12545317,0.19093303,0.27708712,0.3530346,0.39284396,0.39236715,0.36615422,0.33377507,0.30705145,0.29105365,0.28583762,0.28588676,0.28092214,0.26236978,0.23447366,0.21524,0.2258503,0.271131,0.33080485,0.37061074,0.36780366,0.32656595,0.27269867,0.23373467,0.22342221,0.2380442,0.2625543,0.28236577,0.29166982,0.29661238,0.3081621,0.33405676,0.36985517,0.40178517,0.41392174,0.40310192,0.37785175,0.35190022,0.3293973,0.30709776,0.28032416,0.2520385,0.23036397,0.22168821,0.22718115,0.24314801,0.26962805,0.30246976,0.3333216,0.34079418,0.3147268,0.25903,0.19876851,0.15289493,0.1297353,0.12153733,0.11820981,0.11044142,0.09491592,0.076286994,0.06778196,0.087618746,0.14172699,0.21653287,0.2770927,0.29690573,0.27177227,0.22751166,0.19306709,0.18454419,0.1957624,0.21066372,0.21765108,0.2159108,0.21404672,0.2202964,0.24267185,0.28144202,0.3300402,0.36941576,0.3844007,0.37061498,0.3408645,0.31001186,0.28930032,0.28134155,0.28493032,0.29386795,0.30202314,0.30657914,0.3132396,0.33149242,0.36509296,0.40398946,0.42654967,0.41551283,0.37046918,0.30973727,0.25677687,0.22790043,0.2249632,0.23777652,0.25098082,0.2553838,0.25304112,0.25472966,0.26994702,0.29942548,0.3325162,0.35200694,0.34500554,0.3130438,0.2711701,0.23622715,0.21502788,0.20435567,0.19851977,0.19586599,0.19897223,0.21046029,0.23209381,0.2639223,0.306644,0.35491624,0.39653608,0.4128004,0.39378974,0.34428087,0.283882,0.23400621,0.2077329,0.20440273,0.21200937,0.2183658,0.22045614,0.22786236,0.25234115,0.29873753,0.3550464,0.39934444,0.40638176,0.36990854,0.302453,0.233482,0.18559635,0.16985504,0.1814997,0.209312,0.23950517,0.26261762,0.27812603,0.29428193,0.3237454,0.36888242,0.41820726,0.44674233,0.44030908,0.40159595,0.35204268,0.30808684,0.2764396,0.2527729,0.23423962,0.22021897,0.21110009,0.20706771,0.21075709,0.23126829,0.27226242,0.32430187,0.3589054,0.35456374,0.30984405,0.24932986,0.19736068,0.16604623,0.15043606,0.14088291,0.12848528,0.109822094,0.08899072,0.07906393,0.09845212,0.15560427,0.2380904,0.31107712,0.34283927,0.32503232,0.2800819,0.2394977,0.22403824,0.23420511,0.25740793,0.27907288,0.29118884,0.2962195,0.3046781,0.3286847,0.37147006,0.4207013,0.45183337,0.44370174,0.39461538,0.32420674,0.26048082,0.22278506,0.21320969,0.21872418,0.2191742,0.20049228,0.16332,0.12629451,0.114949025,0.14620678,0.21396983,0.29089794,0.34369195,0.35412848,0.3260846,0.28005162,0.23809195,0.21464042,0.21086363,0.21815515,0.22648787,0.23260713,0.24234767,0.2633622,0.30069533,0.34765258,0.38952342,0.40491036,0.38570166,0.33871934,0.28659335,0.24778026,0.2313642,0.23356228,0.2454651,0.25790858,0.26505336,0.26787266,0.27287114,0.29171526,0.3255935,0.36230075,0.3740519,0.34759286,0.28991872,0.23095362,0.19294524,0.18278609,0.18825881,0.19403045,0.19184417,0.18586248,0.18961103,0.21464872,0.26644558,0.33592907,0.40566206,0.44935533,0.4537268,0.42131403,0.37542918,0.3360379,0.31277552,0.29824942,0.2824382,0.25935355,0.23331738,0.21411139,0.21094684,0.22991388,0.26819372,0.31620967,0.35307884,0.36453497,0.34722295,0.3172325,0.29057106,0.2767836,0.27233863,0.27032006,0.26356232,0.24789132,0.22318608,0.19705056,0.18609862,0.20527083,0.2534319,0.30614993,0.3342509,0.32603744,0.29569063,0.26530153,0.2463112,0.23563285,0.22537912,0.21126622,0.19327356,0.17472331,0.1626129,0.16782506,0.19778426,0.24646361,0.29144382,0.30735815,0.28480044,0.23653895,0.18593399,0.14973706,0.1313428,0.12420577,0.11862651,0.1075002,0.090696536,0.07859697,0.088531025,0.1348824,0.21278715,0.2962744,0.3488127,0.35144356,0.3099367,0.251466,0.20139892,0.17613159,0.17712247,0.19594683,0.21832328,0.23301911,0.23964304,0.24779318,0.27157247,0.31375375,0.36208805,0.39007914,0.3815006,0.33891678,0.28721854,0.25141254,0.24708743,0.27174184,0.3110713,0.34575784,0.36350146,0.36625955,0.3668319,0.37975505,0.40926322,0.44925365,0.48510948,0.50574267,0.50579363,0.4890227,0.4614589,0.43037668,0.39928135,0.3674449,0.33014515,0.28530854,0.24024999,0.21116157,0.2157591,0.25622118,0.31451917,0.35574326,0.35573187,0.31427863,0.2582841,0.21767771,0.21052538,0.23474558,0.2765908,0.3191512,0.3524045,0.3754705,0.3947948,0.41700587,0.4425763,0.46272776,0.46226028,0.43141446,0.37472928,0.3118761,0.26515806,0.24865472,0.26095,0.28728446,0.30521902,0.29939184,0.27160814,0.24266988,0.2379785,0.2709643,0.33419597,0.40381876,0.45506644,0.47420812,0.46370482,0.43506107,0.4032133,0.37823978,0.3638537,0.3537518,0.34023502,0.31966928,0.3002775,0.2957702,0.317528,0.36180937,0.40894532,0.43227085,0.41800752,0.37248042,0.31603196,0.26555917,0.22717665,0.19777076,0.17168081,0.14574437,0.12177384,0.10855433,0.11851853,0.1606977,0.2290969,0.30131376,0.34732795,0.351359,0.31938657,0.27455422,0.23722352,0.21626826,0.20807606,0.20409961,0.1965618,0.18268313,0.16881186,0.16813837,0.19527279,0.24891835,0.30979285,0.34505284,0.33883202,0.29870936,0.2532939,0.22244121,0.20948131,0.20202433,0.18837793,0.16479293,0.13774584,0.12069725,0.12786718,0.16829337,0.23555924,0.30916694,0.35941502,0.37006927,0.34405765,0.30481303,0.27513826,0.27064547,0.29165724,0.33064032,0.37213945,0.40384135,0.4200711,0.4278083,0.43869197,0.45943943,0.48383918,0.49433824,0.47637406,0.42819047,0.36523008,0.30844697,0.2745912,0.26679397,0.2767477,0.28973746,0.29660627,0.29761556,0.30198896,0.3182009,0.34686515,0.37715387,0.39198744,0.38093066,0.3499696,0.31779173,0.30012503,0.29679313,0.29561338,0.28371796,0.25928319,0.23235333,0.22090976,0.24015903,0.29354057,0.3675948,0.43618616,0.4720504,0.46027604,0.4079164,0.33857334,0.27978316,0.24824248,0.24563403,0.26052967,0.27435043,0.27262634,0.25393283,0.23442973,0.2361895,0.27239794,0.33381513,0.3939558,0.42474806,0.41734067,0.38418832,0.34866765,0.32713997,0.32388565,0.33128133,0.3356706,0.32278648,0.28838277,0.24546087,0.22027856,0.23627274,0.29302597,0.36505508,0.41342783,0.41672966,0.37797248,0.3225973,0.27234116,0.23719518,0.21183342,0.18746382,0.15834443,0.12646662,0.1019968,0.09921036,0.13201705,0.19915886,0.2815395,0.3432547,0.36037838,0.33141837,0.28161445,0.23627163,0.20966367,0.1984961,0.19342278,0.18528675,0.17124581,0.15695383,0.15507355,0.18073197,0.23567927,0.303818,0.3522127,0.35944214,0.32630304,0.2780642,0.23788548,0.21542865,0.20319737,0.18967263,0.1674701,0.13933377,0.11718565,0.11680156,0.14968197,0.21276529,0.28761148,0.34514317,0.36482307,0.34428868,0.3024587,0.264113,0.24860854,0.25952378,0.28661224,0.31082726,0.3186998,0.31080094,0.3026034,0.3128289,0.34988615,0.40639064,0.46106625,0.49398413,0.49595985,0.47476685,0.44398677,0.41505432,0.39005795,0.36538705,0.33486274,0.29598296,0.25314334,0.21934877,0.2106294,0.23607385,0.28666246,0.33691177,0.35859504,0.34227052,0.30130026,0.26266113,0.24803026,0.26483145,0.30500492,0.34814343,0.37535605,0.37793228,0.3689777,0.36726913,0.38780186,0.42149234,0.44773936,0.44212934,0.40187395,0.34110737,0.28649142,0.25556433,0.25357118,0.2714319,0.29447624,0.30956173,0.31204084,0.3082678,0.30973613,0.3275353,0.36142394,0.40170804,0.42897895,0.43222848,0.40995595,0.3765835,0.3477025,0.33863875,0.35300246,0.38318443,0.40993023,0.4151611,0.3945965,0.3627263,0.34627116,0.36342576,0.41178903,0.46444198,0.49303353,0.48311904,0.44306684,0.38873303,0.33360195,0.28222117,0.2346505,0.189543,0.1486124,0.11865303,0.11105469,0.136916,0.19553196,0.2696598,0.32766724,0.34638464,0.32328412,0.2796694,0.23884094,0.21414678,0.20354855,0.19949903,0.19407266,0.18368833,0.17107719,0.16664553,0.18561812,0.23434238,0.30080888,0.35425785,0.36817837,0.33855727,0.28700188,0.24026237,0.21203542,0.1987182,0.18872352,0.17274688,0.15001515,0.12931465,0.12565888,0.1521735,0.20967574,0.28235975,0.34280816,0.36855516,0.35534707,0.31978658,0.2869616,0.2772111,0.2948496,0.3286191,0.35464278,0.3544253,0.32512882,0.2876271,0.270053,0.29249415,0.3499916,0.41735664,0.4618493,0.46508133,0.4293785,0.37496778,0.32441035,0.29386172,0.2854985,0.29005983,0.2939834,0.29172596,0.29076692,0.30423188,0.33814418,0.3816404,0.4134207,0.4130771,0.37840235,0.32427445,0.27569962,0.2501028,0.2522184,0.27364647,0.29946557,0.31551978,0.31492686,0.30349815,0.29616728,0.3105314,0.351788,0.4081346,0.4519244,0.46229744,0.43663695,0.39437982,0.35717228,0.33693138,0.3301113,0.3256425,0.31444922,0.29670617,0.28336143,0.28742462,0.31523988,0.3577045,0.39600554,0.40851596,0.38764215,0.341066,0.28904432,0.24708043,0.22009803,0.20176406,0.18328387,0.15891679,0.12951344,0.10362447,0.09542837,0.120025955,0.180466,0.26131663,0.3296431,0.35819566,0.34113833,0.29908028,0.25999165,0.24433284,0.25611344,0.28575692,0.31397426,0.32147157,0.3007489,0.26464376,0.2411577,0.25326574,0.30067387,0.35659012,0.3895236,0.38526508,0.3550016,0.32018307,0.29626438,0.2852223,0.28104767,0.27647224,0.26807654,0.2570923,0.24969721,0.25625968,0.28607735,0.33799818,0.39385852,0.42690733,0.42105424,0.3823069,0.33244988,0.2912031,0.266701,0.25582054,0.250906,0.24438809,0.23378862,0.22434312,0.22811168,0.2548401,0.30089256,0.3469006,0.36856353,0.35648122,0.32129192,0.2855797,0.26389095,0.25687,0.2549087,0.24887995,0.23444124,0.21175987,0.1871953,0.1735154,0.18883091,0.238832,0.3090835,0.36387756,0.37683347,0.34395254,0.2892315,0.2393979,0.21305133,0.21259087,0.23149578,0.25761023,0.27917236,0.29052615,0.29538488,0.3060551,0.32807556,0.35325798,0.35604596,0.32110426,0.25394425,0.18709429,0.15022887,0.156223,0.19131152,0.2302186,0.24845521,0.2360362,0.20257647,0.17379542,0.17924368,0.22940196,0.30716386,0.37250766,0.3963879,0.37613356,0.3375564,0.30412784,0.28368047,0.2650198,0.23667915,0.19589324,0.15219471,0.12122042,0.118674815,0.1554767,0.22908747,0.32151625,0.40113318,0.442825,0.44015324,0.40901434,0.36934844,0.33237824,0.29677653,0.25960556,0.22411096,0.20159061,0.20364343,0.23506232,0.28995097,0.35379198,0.40794137,0.43437758,0.42360616,0.37926736,0.3179977,0.2589596,0.21425082,0.18441759,0.1623497,0.13984619,0.11339403,0.08765402,0.07489357,0.09017194,0.1412592,0.21777837,0.29207528,0.3332318,0.33080772,0.2988328,0.26539811,0.24958687,0.25542617,0.274551,0.29652646,0.31420258,0.32586905,0.3355296,0.35032406,0.37621328,0.40870214,0.4311221,0.42198667,0.37567604,0.30840978,0.2501069,0.22110651,0.2240966,0.24687903,0.27469948,0.29669914,0.30903232,0.3154098,0.32452402,0.34661162,0.38214144,0.41990614,0.4373668,0.4210943,0.3729161,0.3127325,0.25909188,0.22196455,0.19743316,0.17668848,0.15125924,0.11996656,0.0911102,0.08061472,0.10630133,0.17165504,0.26048088,0.33627585,0.37117288,0.35855833,0.32023013,0.28027382,0.25352564,0.23789382,0.22635497,0.21225373,0.19455875,0.17795976,0.17287666,0.192084,0.2393709,0.30236745,0.35260177,0.36657774,0.3401569,0.2924038,0.24622184,0.21470194,0.1961943,0.18394773,0.17433,0.17042215,0.178443,0.20188989,0.24078374,0.2896252,0.3394958,0.3736283,0.37862602,0.3505472,0.30432656,0.26048034,0.23555027,0.23047458,0.23469017,0.23146129,0.2111432,0.17872675,0.15497929,0.16343778,0.2144419,0.29489505,0.37409517,0.4206692,0.42092398,0.38360855,0.33253786,0.29132375,0.27177727,0.26855794,0.26556233,0.25113544,0.23084015,0.22471811,0.25133455,0.31284103,0.39225402,0.46371517,0.50520414,0.5119752,0.49429262,0.47063068,0.4511652,0.4369934,0.42159688,0.4011548,0.37507442,0.3470192,0.32262802,0.3105979,0.32200095,0.3596307,0.41186392,0.45009878,0.45410836,0.42258933,0.37821293,0.33991194,0.31404212,0.29084373,0.26361445,0.23421057,0.21498497,0.21831052,0.25044206,0.30808964,0.37619242,0.43388614,0.45794368,0.4416093,0.39399204,0.3409319,0.30218732,0.28719616,0.28992954,0.30088294,0.31087753,0.31627023,0.31784904,0.3207221,0.33381572,0.36265817,0.40442848,0.44152406,0.4562846,0.44021866,0.40369233,0.36158955,0.3235614,0.28721288,0.2470063,0.20392536,0.170224,0.16316801,0.19406514,0.26011932,0.34345055,0.4163525,0.45120588,0.43519226,0.3784212,0.3090718,0.25461435,0.22771345,0.22460896,0.23337336,0.24185549,0.2416305,0.23316114,0.2258725,0.23638825,0.2726035,0.32667807,0.37225577,0.3866383,0.3646699,0.32535234,0.29352418,0.28509665,0.29775834,0.31782618,0.32956278,0.32708052,0.31691596,0.31412062,0.33035046,0.36659598,0.40993682,0.44090286,0.44273064,0.4141225,0.3674111,0.3220617,0.29080564,0.2793385,0.28615105,0.30757678,0.33625916,0.36374843,0.38304982,0.39308962,0.400031,0.4087235,0.4177123,0.4159552,0.39982772,0.37566042,0.35901442,0.35406062,0.35340288,0.34288955,0.31855953,0.2883362,0.26808965,0.27002874,0.29745165,0.3453729,0.40179884,0.45115486,0.4744452,0.46223792,0.41811922,0.36114287,0.3098111,0.2760203,0.25868258,0.24932808,0.23471831,0.20692165,0.17043377,0.1439907,0.15025191,0.1948622,0.2596475,0.30745867,0.31454703,0.28132373,0.23387052,0.19502167,0.17516571,0.16753219,0.16200043,0.15023215,0.13306828,0.12039867,0.1285649,0.17126705,0.24711132,0.33675852,0.4083674,0.43964827,0.4278499,0.39056525,0.34850523,0.31641853,0.29944572,0.29579377,0.2982913,0.29818338,0.29216483,0.2864546,0.29377934,0.32072842,0.3592316,0.38701072,0.38503286,0.35043344,0.2987535,0.24907987,0.21203949,0.18645899,0.16500811,0.14089225,0.11220167,0.08488505,0.07213261,0.090386175,0.14822479,0.23578095,0.32320455,0.37665272,0.38112417,0.3483573,0.30531922,0.27210096,0.25402197,0.24468051,0.23695941,0.22751175,0.21888252,0.21821278,0.23499727,0.2752941,0.33291915,0.38905075,0.42101756,0.42157054,0.4014112,0.38081524,0.3696984,0.36461285,0.3529249,0.32561934,0.28307852,0.23734377,0.2057917,0.2034024,0.23657851,0.29897916,0.37263379,0.43082282,0.4551727,0.44240287,0.4068582,0.36210075,0.3161875,0.26951435,0.22573133,0.19143389,0.17501245,0.18136783,0.21143107,0.26347658,0.32779798,0.387163,0.416473,0.40346062,0.35419902,0.2956473,0.25380245,0.24336839,0.2606823,0.29069957,0.31507578,0.3212131,0.30974886,0.29444578,0.2972969,0.32998714,0.3845842,0.4312322,0.44514048,0.42036322,0.37526023,0.3283993,0.2886794,0.2522269,0.21475947,0.17555273,0.13815749,0.10924076,0.09826582,0.11796975,0.17260003,0.25084904,0.32128838,0.35538054,0.34331048,0.30361366,0.26305783,0.24209727,0.24322896,0.25700104,0.2670453,0.26143655,0.2391709,0.21391611,0.20730096,0.23465288,0.2937278,0.36091664,0.4084197,0.41931856,0.39873683,0.36122867,0.3210429,0.28372267,0.25096986,0.22190134,0.19547518,0.17207205,0.15762301,0.16476835,0.20385878,0.271816,0.34640682,0.39985898,0.41600278,0.39956653,0.3670138,0.33335105,0.3044943,0.27928463,0.2549675,0.23314403,0.21992315,0.22414374,0.25038993,0.2982615,0.35569265,0.40368828,0.41891065,0.39437708,0.34042385,0.28244093,0.23793064,0.21288486,0.20109272,0.19483905,0.18743111,0.17640178,0.16674966,0.17047383,0.2023636,0.26208332,0.33144888,0.37823948,0.3878862,0.36827207,0.34629306,0.3355616,0.3329594,0.32243237,0.29629767,0.25864184,0.2228642,0.20311375,0.20902728,0.24662907,0.30943683,0.37982726,0.4259968,0.42877015,0.3885398,0.33177993,0.28480294,0.2645481,0.27070943,0.29430076,0.32190934,0.34315214,0.35642263,0.36955914,0.393917,0.43095216,0.46832106,0.48360857,0.4642239,0.4143686,0.3546652,0.30463037,0.27634552,0.2697415,0.2778999,0.2883856,0.29217038,0.28913423,0.29132935,0.3142097,0.36222064,0.4205309,0.45943168,0.45766115,0.4163966,0.35953912,0.31086227,0.28087166,0.2646713,0.25476328,0.24714106,0.24381427,0.24859323,0.26620692,0.299064,0.3445787,0.3914504,0.42188072,0.42206717,0.39179957,0.34568492,0.30165347,0.27157888,0.2574047,0.25510016,0.25780794,0.26049468,0.26367772,0.27501133,0.30469543,0.35621464,0.4191827,0.47159824,0.492808,0.4780506,0.44021583,0.39873537,0.36447608,0.3359343,0.3041902,0.26298568,0.21427615,0.16996074,0.14696641,0.15909617,0.20922635,0.28257695,0.35213935,0.3880272,0.37912288,0.33533916,0.2826728,0.24028198,0.21405284,0.19619906,0.1766821,0.14926629,0.11560411,0.08655695,0.07834831,0.1073063,0.17242585,0.25413516,0.3166674,0.34068596,0.3285979,0.30512655,0.28637728,0.2762281,0.26619235,0.25149226,0.23179889,0.21142577,0.19695123,0.19733797,0.22230391,0.2712009,0.32959855,0.3699679,0.37482783,0.34507695,0.301589,0.26306686,0.2371521,0.2183667,0.19967882,0.17960863,0.16371453,0.160993,0.17744416,0.21597855,0.27163538,0.33349252,0.38151714,0.40213677,0.3935413,0.37069872,0.3476882,0.33268487,0.32421565,0.32060704,0.31763116,0.31066605,0.29468763,0.27365157,0.2619034,0.27640894,0.32082164,0.3766863,0.41551027,0.41883075,0.39195856,0.35482895,0.32534564,0.30688453,0.29243767,0.27542093,0.25904235,0.25292397,0.26575184,0.29882708,0.3470665,0.398777,0.43800902,0.4515488,0.43867394,0.41166174,0.38407513,0.36208007,0.34471726,0.33175197,0.3235021,0.31914735,0.31611773,0.31585827,0.32559475,0.35257325,0.3938211,0.43350658,0.4521395,0.4414192,0.40881237,0.37049976,0.34038842,0.3242489,0.32110623,0.32280365,0.31883702,0.29892686,0.26499847,0.23286152,0.22877567,0.26421276,0.323679,0.3673413,0.36703563,0.32429197,0.26974595,0.23258452,0.2244075,0.23680405,0.2538613,0.2648987,0.26788282,0.27115047,0.28255627,0.309585,0.34741315,0.38523224,0.40215996,0.39022326,0.3557628,0.32221517,0.30403602,0.29988602,0.29391637,0.27459067,0.24356265,0.21486525,0.20556967,0.22664566,0.27963173,0.35223004,0.42204598,0.45967507,0.44947848,0.39593908,0.3262187,0.26727846,0.23532338,0.22898339,0.23827045,0.25042543,0.25628933,0.2550719,0.2547538,0.26898912,0.30332863,0.34908876,0.38308123,0.38761568,0.36213136,0.32467207,0.29377508,0.2770802,0.27055678,0.26773235,0.26558632,0.2649438,0.26851976,0.27902487,0.29999158,0.33298197,0.37523738,0.41466287,0.43694767,0.4337441,0.41129518,0.38267407,0.36017755,0.34652257,0.33899376,0.33008328,0.3152568,0.2936113,0.27323225,0.26657042,0.28456128,0.3249607,0.3706979,0.39895555,0.3990686,0.37814358,0.3541701,0.33989492,0.3377218,0.34048536,0.33787695,0.32008502,0.28394875,0.23890811,0.20699507,0.21272726,0.2625235,0.33640873,0.39388832,0.40510514,0.36681294,0.30688915,0.25758362,0.23774122,0.24117287,0.2497034,0.24944256,0.24263866,0.24424613,0.2680721,0.31754538,0.37994158,0.4344584,0.4580079,0.44321635,0.39875993,0.34853807,0.31212986,0.2984923,0.30140552,0.30647942,0.29892787,0.2723094,0.2359953,0.21126555,0.22189526,0.2739102,0.35025266,0.41502476,0.44154802,0.42443052,0.38313663,0.34094217,0.31527677,0.30800465,0.30942237,0.30191326,0.2735673,0.2282523,0.1880411,0.18196511,0.22508807,0.30641374,0.3898357,0.4416925,0.4496161,0.42891595,0.3997612,0.37252858,0.34377012,0.30888388,0.27052733,0.23862231,0.2240172,0.23159297,0.2614453,0.30755016,0.35855472,0.39455426,0.39905226,0.36974183,0.32364473,0.28241336,0.25783634,0.24786179,0.24439746,0.24160032,0.23782103,0.23562163,0.24075918,0.26122132,0.30035877,0.35012516,0.39068612,0.40311193,0.38448524,0.35061845,0.32355845,0.31529412,0.32225427,0.33221653,0.33360314,0.3224809,0.3008518,0.27742544,0.26496312,0.278317,0.32110834,0.37909862,0.42409983,0.4360675,0.41394624,0.37440217,0.3348588,0.3069546,0.2915813,0.28287652,0.27011713,0.24830182,0.22421707,0.21706069,0.24426968,0.30414292,0.36985466,0.4050788,0.39421713,0.35377625,0.31815568,0.3081546,0.3202046,0.33641255,0.34410432,0.3421574,0.33565775,0.33072898,0.33295906,0.35035503,0.38371515,0.4223356,0.44128212,0.42427206,0.3737942,0.31433818,0.26965857,0.25065318,0.25053343,0.2545234,0.25080788,0.23768502,0.226265,0.23134744,0.2637869,0.31710663,0.37188646,0.4007264,0.39254597,0.35546818,0.31548834,0.29064357,0.28471494,0.28557417,0.28226706,0.2699728,0.25499454,0.24718463,0.2569786,0.2881627,0.3350382,0.38206944,0.4096112,0.40811026,0.382858,0.3519988,0.33002755,0.32245585,0.32385388,0.3261514,0.32117352,0.3064247,0.28693748,0.27600572,0.28878903,0.33074248,0.39023733,0.44011617,0.45582953,0.4304751,0.379071,0.32498994,0.2864096,0.26989627,0.27142617,0.28008023,0.28357553,0.27611592,0.2637842,0.262539,0.28662625,0.33497748,0.38657656,0.4133253,0.40062132,0.3570819,0.30543962,0.26369193,0.2361113,0.21503705,0.1911422,0.15965472,0.12508832,0.100003265,0.101043455,0.13917847,0.2082966,0.28401086,0.33413804,0.34240583,0.31518185,0.27620977,0.24454664,0.2275796,0.22049065,0.21602298,0.20897405,0.19944657,0.19396007,0.20282678,0.23573868,0.2882689,0.34170195,0.3678898,0.35616276,0.3163809,0.2753545,0.25055787,0.24714397,0.25798157,0.27536628,0.29170737,0.30307746,0.3097947,0.3185149,0.33896074,0.37507573,0.41858804,0.44835064,0.447879,0.41669473,0.3749626,0.34580007,0.34316686,0.36398077,0.394328,0.41755274,0.4242616,0.4183403,0.41393587,0.4276092,0.4633411,0.5098927,0.5430605,0.5464265,0.520184,0.48170456,0.44828513,0.4258493,0.4095025,0.38967058,0.36097476,0.32218304,0.2807817,0.24993037,0.24643727,0.27654597,0.32867762,0.3734059,0.3841089,0.35423562,0.30343696,0.26205537,0.2544068,0.28704798,0.34914497,0.41850606,0.47310033,0.5018828,0.5086181,0.5077927,0.5117483,0.5207062,0.52017,0.49351612,0.4379232,0.369068,0.3116493,0.28387186,0.28864732,0.31323352,0.3344808,0.3337226,0.3079494,0.2757509,0.2637757,0.289724,0.3490467,0.41846535,0.4723649,0.4974455,0.49711666,0.481761,0.46274957,0.44677064,0.4376178,0.43111578,0.42105666,0.4026169,0.38232347,0.372898,0.3872434,0.42343333,0.46464097,0.48497462,0.47099468,0.42720768,0.37287703,0.3233452,0.28359535,0.2486887,0.21245849,0.17304146,0.13495483,0.10906505,0.10820323,0.14267498,0.20722778,0.2802994,0.32794952,0.3317884,0.29671142,0.2506398,0.21732795,0.20745485,0.21511449,0.22926754,0.23842932,0.2368713,0.2289421,0.22874081,0.2537975,0.30719757,0.37297872,0.41880488,0.42389882,0.38945475,0.34031618,0.29962492,0.27638176,0.26150712,0.241439,0.20898701,0.16985583,0.1406415,0.13988866,0.17840861,0.24784116,0.3242554,0.3763934,0.38864687,0.36580893,0.33184227,0.31026587,0.31638482,0.34983954,0.39791998,0.43961802,0.4587067,0.45418796,0.44103733,0.43918827,0.45812646,0.4898074,0.51201755,0.5036538,0.46018782,0.39724585,0.34031868,0.30856684,0.30646765,0.32591173,0.35274974,0.3773259,0.39581987,0.41132084,0.42563286,0.43897244,0.44641018,0.44173494,0.42014575,0.38696107,0.35503647,0.33737198,0.33324015,0.33144397,0.3176565,0.28939724,0.25622827,0.238613,0.25281945,0.3039057,0.37831903,0.45230198,0.4999167,0.50517255,0.46920517,0.4095205,0.3515189,0.31409535,0.30242935,0.3074067,0.31225976,0.30367693,0.2800907,0.25585833,0.25110456,0.28000608,0.33678186,0.3999957,0.44332197,0.4560487,0.44406807,0.4230949,0.40329054,0.38794708,0.3751283,0.35958347,0.33380577,0.2930762,0.24695893,0.21798228,0.23170693,0.29114088,0.37308773,0.43455005,0.4475899,0.41006303,0.34784964,0.28754255,0.24554056,0.22023875,0.20183682,0.17875373,0.14755443,0.11638385,0.10245663,0.1234289,0.18178643,0.26058576,0.32496643,0.34874567,0.32642797,0.2798777,0.23517434,0.21092659,0.20888244,0.2209683,0.23415606,0.23837072,0.23417525,0.23339665,0.25366434,0.29980168,0.358078,0.39871606,0.40159568,0.36842573,0.3226572,0.28648496,0.26634654,0.25187248,0.22929282,0.1936936,0.15235132,0.12137189,0.11714268,0.14988142,0.21540527,0.29492238,0.3598853,0.3886081,0.37750986,0.34307933,0.30962718,0.29702652,0.31188038,0.346531,0.38242677,0.40286446,0.40305388,0.39466205,0.3948493,0.41656664,0.45891437,0.509,0.5466032,0.5574298,0.5414537,0.5114139,0.4815408,0.45559362,0.42827377,0.39072812,0.3414637,0.28697008,0.24252276,0.22394687,0.24200635,0.29026505,0.3466104,0.37998292,0.3744835,0.3369505,0.29611278,0.27999836,0.3004311,0.3452368,0.3870286,0.40409914,0.39295292,0.37244764,0.3644929,0.38419196,0.42523918,0.46893945,0.4873866,0.46687898,0.41059747,0.34237257,0.28671536,0.26097777,0.26510298,0.28611597,0.30465376,0.30794647,0.29788086,0.28820577,0.29613343,0.32811192,0.37793723,0.42666218,0.45863783,0.46595088,0.4533478,0.42915192,0.40421665,0.3874791,0.38433492,0.39126062,0.39723197,0.39119884,0.3742166,0.36406162,0.38230658,0.43323112,0.49201104,0.52275926,0.5051442,0.44798002,0.37607333,0.31049553,0.25925395,0.21958669,0.18511522,0.15162978,0.12218758,0.10779897,0.1231603,0.17408073,0.24889791,0.31778494,0.35189518,0.34078547,0.29986882,0.25528425,0.22761299,0.22224389,0.23230056,0.24478824,0.24842246,0.24116237,0.23198818,0.2360019,0.2605034,0.2987196,0.33078155,0.33976933,0.3221637,0.29062906,0.26175436,0.2445754,0.23555754,0.2239656,0.20139055,0.16895741,0.13936263,0.130238,0.15512,0.21308441,0.28669706,0.34831223,0.3750502,0.3628995,0.32766703,0.2948459,0.28397965,0.29992476,0.33134088,0.35572353,0.3538767,0.3229921,0.28373948,0.26709554,0.2960602,0.3678654,0.45633283,0.5239789,0.54711944,0.52524716,0.4836551,0.4514071,0.44677603,0.46172652,0.4738233,0.46289042,0.4309913,0.39901564,0.38883093,0.40702423,0.43895373,0.4627819,0.457713,0.42130014,0.36463928,0.3119426,0.2823057,0.28572834,0.31708992,0.36130834,0.40031472,0.42266297,0.4300139,0.43252805,0.44132033,0.4590377,0.4801035,0.49270418,0.4878098,0.46306172,0.42551637,0.38639155,0.35504863,0.33331573,0.3149378,0.2921903,0.2640199,0.23963046,0.23302655,0.25414774,0.30098143,0.35742858,0.3975613,0.40049592,0.36329147,0.30463243,0.25047594,0.21944833,0.21299653,0.21921776,0.21985805,0.2034141,0.17339922,0.14970832,0.15705347,0.20616412,0.28232738,0.34905747,0.3729135,0.34544215,0.2890838,0.2390784,0.22308896,0.24866998,0.3036051,0.36077997,0.39126417,0.37990895,0.33724537,0.2953,0.28594837,0.3187699,0.37318623,0.41676846,0.42920586,0.41402927,0.38924208,0.3706235,0.363122,0.36063144,0.35328308,0.33378002,0.30396056,0.27351493,0.25653252,0.2639865,0.2975942,0.34598434,0.387301,0.40244284,0.38480785,0.345351,0.30264595,0.27437565,0.26646277,0.27232513,0.2772844,0.27174303,0.2602006,0.25854242,0.28165898,0.32639375,0.3730358,0.3943604,0.38068113,0.34164354,0.30148995,0.27639833,0.27037385,0.2757455,0.2829074,0.28228235,0.2674735,0.23902307,0.20808177,0.1936469,0.20775221,0.24600019,0.28484574,0.30264807,0.29122478,0.2627593,0.23257126,0.21037234,0.19400181,0.17760122,0.15696798,0.13457473,0.11857566,0.12000229,0.14868589,0.2045368,0.27394906,0.32957003,0.35002527,0.3307902,0.28959295,0.24722795,0.21729696,0.19991253,0.19088697,0.18720774,0.1919202,0.20941806,0.23978823,0.27434453,0.3018953,0.31658626,0.32130107,0.32229412,0.32237515,0.31976935,0.31037688,0.2941862,0.2748272,0.25942948,0.25102237,0.25127554,0.25925425,0.27611816,0.29860106,0.32043254,0.33319703,0.3340495,0.32560027,0.3134778,0.30166122,0.29185998,0.2842054,0.2780137,0.27156803,0.26185337,0.2458819,0.22245991,0.19553101,0.17416203,0.16995561,0.18838702,0.22402473,0.26164958,0.2868514,0.2939073,0.2868316,0.27258417,0.25574058,0.23843473,0.22365652,0.21706901,0.2232036,0.2409625,0.26118997,0.27310622,0.27062702,0.256773,0.23773813,0.21832556,0.19957007,0.18370908,0.17731869,0.18703632,0.21316095,0.24370427,0.26476857,0.26821318,0.2601558,0.25052038,0.24782069,0.25183007,0.2592095,0.26460767,0.26525956,0.25959662,0.24907993,0.23794596,0.2333758,0.24144022,0.26126763,0.28327194,0.2933317,0.28323957,0.25693437,0.23074305,0.22032733,0.23001389,0.2474501,0.25838545,0.2566721,0.24946482,0.24351935,0.24003668,0.23375754,0.22262342,0.21093573,0.20640457,0.21329854,0.22642787,0.235232,0.22985041,0.20885539,0.17719537,0.1427198,0.11175478,0.08842695,0.074216016,0.067638986,0.06529305,0.0635591,0.06065974,0.05656558,0.0527536,0.051430535,0.055376947,0.06564448,0.07954934,0.09048394,0.09252041,0.08488529,0.07250235,0.06153597,0.05575378,0.05702238,0.06788451,0.09107367,0.12508623,0.16237412,0.19275282,0.21163921,0.22234078,0.23279051,0.24770606,0.2652542,0.27870986,0.28155681,0.27165583,0.25327232,0.23446424,0.22395222,0.2246539,0.2337404,0.24342763,0.24821173,0.24681665,0.24304365,0.23949975,0.23503722,0.22467734,0.20794277,0.19109146,0.18426822,0.19132032,0.20764673,0.22418223,0.23483555,0.24016304,0.24442501,0.25084618,0.25475746,0.24714886,0.22201402,0.18684243,0.15914406,0.15555339,0.17892033,0.21730582,0.2530543,0.2744342,0.28068244,0.27815178,0.27380085,0.27034128,0.26728702,0.2629104,0.2590709,0.2583729,0.26270118,0.2663362,0.26287162,0.24841721,0.22914465,0.21342278,0.20878774,0.21589983,0.23231685,0.25255662,0.27153835,0.28447345,0.28889498,0.28466225,0.27463797,0.26361713,0.25612438,0.25407532,0.2560941,0.25966159,0.26310062,0.26691476,0.2710605,0.273586,0.26893517,0.253013,0.226499,0.19834322,0.18071544,0.18307494,0.20543927,0.2389102,0.27022132,0.2894896,0.2933155,0.28477225,0.26883316,0.25045592,0.23283927,0.21920753,0.21279298,0.21527775,0.22373481,0.22993451,0.22567858,0.20774543,0.17999661,0.14893545,0.12030242,0.09736242,0.08163297,0.07298166,0.06934963,0.067612015,0.06498878,0.06075381,0.056220457,0.05425663,0.05773903,0.067730494,0.0811974,0.09156505,0.092400044,0.082752235,0.06883047,0.061693337,0.07183185,0.102769695,0.14795479,0.1941306,0.23178129,0.26101977,0.28726315,0.31161347,0.32785103,0.32862255,0.31194985,0.2834558,0.25396702,0.23434041,0.22968347,0.2364322,0.24691768,0.25521526,0.2590095,0.25684583,0.24656282,0.22850753,0.20805506,0.19561191,0.2005275,0.22456618,0.25901365,0.2888728,0.30246878,0.29710457,0.28102338,0.266161,0.26254377,0.27042803,0.28335807,0.29128763,0.28902856,0.27649975,0.26030508,0.24829872,0.24589266,0.24939044,0.24940728,0.23702295,0.21303876,0.18678282,0.17122155,0.17294379,0.18916452,0.20845862,0.22162952,0.22747128,0.2345649,0.24994425,0.27281675,0.29231772,0.29708254,0.28175727,0.25116616,0.21698278,0.19321537,0.18966384,0.2055725,0.22996111,0.24856083,0.25699854,0.26127496,0.27082503,0.2852481,0.29677323,0.29616392,0.28223917,0.25968567,0.2383069,0.22603552,0.22567312,0.22924738,0.22583653,0.21039426,0.19167407,0.18360575,0.1941361,0.21796624,0.24106376,0.24976207,0.23743941,0.20740616,0.17082714,0.14250924,0.13307019,0.14270662,0.16024801,0.17131881,0.16835247,0.15572594,0.14485501,0.14547218,0.15877734,0.1774093,0.19140053,0.1945569,0.18700808,0.1716414,0.15087293,0.12633961,0.10112822,0.07985509,0.06568842,0.058425765,0.054772083,0.05181178,0.048509616,0.046571005,0.048552852,0.05647673,0.06893506,0.081006326,0.0863046,0.082339905,0.072055735,0.06171086,0.05553804,0.053840127,0.055391848,0.061339095,0.07703452,0.106237255,0.14580157,0.18428816,0.21275526,0.2317508,0.25021276,0.2730833,0.29659858,0.3120875,0.3152119,0.30785534,0.29459715,0.2780261,0.25779566,0.23459025,0.2132951,0.2024314,0.20659284,0.22110473,0.23368873,0.2327017,0.21441413,0.1834469,0.14948891,0.121075176,0.10225684,0.09119222,0.08365252,0.07635925,0.06900953,0.06288007,0.059237514,0.058401886,0.060039114,0.06354212,0.06821328,0.07328119,0.07858967,0.08580452,0.09969997,0.12560631,0.16521186,0.21192975,0.25462607,0.28386053,0.29866278,0.3036255,0.30430016,0.30281582,0.29907432,0.29253906,0.28262496,0.27037403,0.25780126,0.24882562,0.24427426,0.24216072,0.23764873,0.2284206,0.21588747,0.20517991,0.2017014,0.20748039,0.21937554,0.2314176,0.23903735,0.24166502,0.2405356,0.23613994,0.22681999,0.21068437,0.18729204,0.15903234,0.13061295,0.107434906,0.09297451,0.08728337,0.08750408,0.08998539,0.09223837,0.09354801,0.094596446,0.09650475,0.10019207,0.10607035,0.11426238,0.124646425,0.13654785,0.14855711,0.15905434,0.16720212,0.17333438,0.17848088,0.18373722,0.18963043,0.19537425,0.19768894,0.1915222,0.17283367,0.14247335,0.10656258,0.07331176,0.048239004,0.032317113,0.02322975,0.018096577,0.015083108,0.013516139,0.013135585,0.013489418,0.013856046,0.013631976,0.012673311,0.011504556,0.012004602,0.018310444,0.036219496,0.06855368,0.11020603,0.14821464,0.17057072,0.17402466,0.16557217,0.1556052,0.15368503,0.16567521,0.1918786,0.22392665,0.24641235,0.24574488,0.21972871,0.18211794,0.15552147,0.15751088,0.18866765,0.23298846,0.27152684,0.29524446,0.3076661,0.31575787,0.3220896,0.32372963,0.316999,0.300809,0.27647647,0.24655427,0.21556981,0.1913638,0.18220554,0.19017388,0.20576231,0.21259533,0.19826138,0.16533647,0.13000801,0.11327634,0.12614954,0.1649648,0.21252225,0.25165287,0.27259603,0.27810913,0.2758976,0.2726263,0.26835456,0.2586908,0.23953396,0.21142149,0.1800131,0.15303002,0.13616477,0.13015163,0.12953545,0.12557408,0.11142685,0.08842907,0.06661434,0.060657058,0.078766696,0.11588812,0.15216412,0.16682889,0.15104684,0.11634374,0.08515307,0.07824388,0.101034276,0.14193855,0.17768212,0.18840285,0.16913486,0.13406284,0.10766997,0.10998159,0.14504842,0.19821696,0.24761872,0.2760525,0.280502,0.26783004,0.250679,0.23898798,0.23777328,0.24206024,0.24261892,0.23240547,0.2168858,0.21218468,0.23527701,0.29028407,0.3632292,0.43199208,0.47879514,0.49964157,0.49929222,0.48932996,0.48132694,0.4862913,0.5052539,0.53101844,0.5503514,0.5545792,0.5418601,0.5164368,0.48308095,0.44354022,0.3977592,0.34793386,0.30220023,0.27122498,0.26221597,0.2716427,0.2855892,0.28518116,0.2588668,0.20984769,0.15632884,0.121525384,0.12432855,0.1696596,0.2476387,0.33432868,0.40649438,0.44903448,0.46184206,0.44942832,0.41823515,0.37403223,0.32649043,0.28574172,0.25702485,0.23929805,0.23104845,0.23627646,0.2592014,0.29465017,0.32544872,0.33523285,0.32206324,0.30065766,0.29072914,0.30360535,0.33717346,0.37959588,0.41912046,0.4486525,0.4658861,0.46738854,0.45243427,0.42486215,0.3969698,0.37761995,0.37032747,0.3703191,0.3749337,0.38317493,0.39659336,0.41326866,0.42728952,0.42942762,0.4131157,0.3775753,0.3286979,0.2745473,0.22337657,0.18049598,0.1477191,0.12228658,0.10084242,0.08438077,0.080670975,0.098261595,0.13550673,0.17625453,0.19770233,0.18778855,0.15293194,0.11397633,0.09185519,0.09864225,0.13274239,0.18140145,0.22662044,0.25583556,0.26539016,0.2582059,0.23536019,0.19812872,0.15217607,0.11202574,0.09449641,0.107902266,0.14502889,0.18384568,0.20157385,0.18758918,0.15257494,0.12016953,0.1130738,0.13919787,0.18967348,0.24723518,0.29615024,0.32857394,0.34254876,0.34110054,0.33063495,0.32175276,0.32579675,0.3497387,0.3914946,0.43923464,0.47862622,0.50024754,0.5052693,0.5004187,0.49252662,0.48248705,0.4673517,0.44246924,0.4059105,0.36024547,0.31392086,0.28048053,0.2706114,0.28455696,0.30718005,0.3215418,0.3225055,0.32168597,0.33157852,0.35153314,0.36779428,0.36723897,0.34784332,0.32061526,0.3019284,0.30401623,0.32433394,0.34600905,0.34845638,0.32459775,0.28749314,0.2638084,0.27249172,0.31205478,0.3572916,0.3804299,0.3653444,0.31958845,0.26224485,0.21483213,0.18826044,0.18591122,0.20407712,0.23671882,0.2715222,0.29629377,0.30439827,0.30358812,0.30817023,0.32880342,0.36165544,0.3923091,0.4062129,0.399842,0.38243917,0.36787012,0.36571503,0.37616327,0.39227286,0.40126047,0.39028132,0.353264,0.3007663,0.25604025,0.24233508,0.2653192,0.31108084,0.35427082,0.37339988,0.3590698,0.3154291,0.25500807,0.1914988,0.13551766,0.092144735,0.062332835,0.043586,0.034322415,0.036142524,0.055439305,0.09435579,0.1444699,0.18407835,0.19451447,0.17196704,0.13339566,0.10262025,0.09919561,0.12784012,0.18005896,0.23731522,0.2836241,0.31062552,0.31895968,0.30843177,0.27776274,0.22854026,0.17361172,0.13390653,0.12696852,0.15377726,0.19491924,0.2219259,0.21543878,0.17916936,0.13673298,0.11623878,0.13238525,0.18010591,0.24068026,0.2948303,0.33169144,0.34954688,0.35223982,0.34576914,0.33814275,0.33775172,0.35026863,0.374495,0.40139815,0.41988754,0.42373624,0.41668415,0.40756568,0.40481904,0.4114455,0.42556882,0.44244945,0.4570142,0.46800658,0.47637418,0.48317745,0.48474953,0.4753431,0.450263,0.4097525,0.35968804,0.31103015,0.27618405,0.2632871,0.2694327,0.28061485,0.2777444,0.25013062,0.20347862,0.1597348,0.14488678,0.17442028,0.24210532,0.32228276,0.38543066,0.41951534,0.4336264,0.4440095,0.4532468,0.45214137,0.43275842,0.3993573,0.36032948,0.31857327,0.27395722,0.23325138,0.21445309,0.23086166,0.27770662,0.32967922,0.3624362,0.36874077,0.36156642,0.36045456,0.37509742,0.39958254,0.41247597,0.39476368,0.34204602,0.2743772,0.22133218,0.20757782,0.2379847,0.30085957,0.37333584,0.432899,0.4621805,0.45554873,0.42187288,0.38196877,0.35634884,0.34860817,0.3449017,0.3262181,0.28723553,0.23713206,0.19065118,0.15528615,0.12955874,0.10746055,0.08498051,0.06382578,0.051154617,0.057086777,0.08629492,0.13158008,0.17238055,0.1881849,0.17195904,0.13639702,0.10360069,0.09321231,0.11230916,0.15490606,0.20420492,0.24325126,0.2620424,0.26072696,0.24252577,0.21014829,0.16755335,0.12487644,0.097914964,0.09917589,0.12856142,0.16953248,0.1979795,0.19700469,0.16883121,0.13322191,0.11462494,0.126927,0.16734982,0.22109239,0.2724769,0.31148148,0.3347088,0.34206638,0.33696076,0.32709333,0.32396322,0.33736637,0.3680813,0.40580273,0.43409312,0.44370094,0.4380344,0.4308474,0.43283665,0.4452407,0.46095383,0.4709065,0.4693404,0.45321643,0.4251502,0.39318287,0.37087837,0.3675562,0.3804455,0.393842,0.39270082,0.37500298,0.35410893,0.3439732,0.34737423,0.35302636,0.3484755,0.33180833,0.31320515,0.30433127,0.30427417,0.30053794,0.28041688,0.24735756,0.22028483,0.22092699,0.25477242,0.3063705,0.34843743,0.36195424,0.34430578,0.30731633,0.26348314,0.22323062,0.1939727,0.18405704,0.1971017,0.22902445,0.2675463,0.29883453,0.31406876,0.31224406,0.29989925,0.28658155,0.27921155,0.2754728,0.26442876,0.23518972,0.18767673,0.13464753,0.093248464,0.07511235,0.08172125,0.10643449,0.13767062,0.16416071,0.17880833,0.18244638,0.18219692,0.18671036,0.19966863,0.21690601,0.23004322,0.23289162,0.22628723,0.21688245,0.21314372,0.22043346,0.2385437,0.2609893,0.27903613,0.28576812,0.2795078,0.26127505,0.23241465,0.19502127,0.15588094,0.12764059,0.12117362,0.13694187,0.16186528,0.17907594,0.17808838,0.16064666,0.13641159,0.11667758,0.10815667,0.1113126,0.12209294,0.13501124,0.14426713,0.1440273,0.1303538,0.104815096,0.074567504,0.0480742,0.029713653,0.018766595,0.012192211,0.007771749,0.0049845143,0.005000993,0.010715398,0.027167432,0.057836074,0.10084792,0.14606392,0.18179215,0.20135474,0.20780198,0.20832191,0.20888202,0.2107979,0.21296269,0.21410434,0.21400023,0.21327013,0.21276192,0.21305536,0.21419322,0.2161523,0.2194577,0.22527225,0.23466109,0.24796362,0.264586,0.2829721,0.2999641,0.3115774,0.31468198,0.31007248,0.30195192,0.29606307,0.2956591,0.3003652,0.30647334,0.3097237,0.30808857,0.30278364,0.29712293,0.29388216,0.29388905,0.2958651,0.29744053,0.2965114,0.29350027,0.2936537,0.30670974,0.34007394,0.38839233,0.43150544,0.44613516,0.42565668,0.38442755,0.34588042,0.32206437,0.3079922,0.2896954,0.2585496,0.2190936,0.1873409,0.18256497,0.21706986,0.28729618,0.37156177,0.4379299,0.46094933,0.43678102,0.38267434,0.3249953,0.28303632,0.26416722,0.26409975,0.2731905,0.2812933,0.2857479,0.29274967,0.3144642,0.35464528,0.40111855,0.4279183,0.4161414,0.37055767,0.31774232,0.28568634,0.28407893,0.30400184,0.32788813,0.34112585,0.3355031,0.3139324,0.29071566,0.28843233,0.32084265,0.3819518,0.44445089,0.48042443,0.4789976,0.4519296,0.4196882,0.39586166,0.38144758,0.36936164,0.35228515,0.32681596,0.29741958,0.2767562,0.2833248,0.32671914,0.39702678,0.4636189,0.49691987,0.4871256,0.44968566,0.4076942,0.37507972,0.34832987,0.31625417,0.2710491,0.21906173,0.1774893,0.166306,0.19662754,0.26315394,0.3449886,0.4120375,0.44294557,0.43553972,0.40848246,0.38413486,0.37405765,0.3740561,0.3730434,0.36339346,0.34460545,0.32368335,0.31163973,0.32200205,0.35901144,0.4113947,0.45155585,0.45607772,0.42102453,0.364814,0.3106179,0.27103543,0.24387921,0.21997432,0.19182055,0.15925999,0.13031395,0.119139574,0.14058198,0.1991005,0.28156245,0.35759994,0.39913452,0.3967338,0.36490455,0.32597438,0.29435715,0.2700869,0.24527378,0.21458288,0.18321069,0.16745682,0.18518443,0.24393773,0.33076894,0.41795477,0.47359106,0.4822292,0.4498742,0.40131846,0.3603544,0.33834043,0.33018234,0.32389033,0.30972564,0.28630042,0.2624252,0.25321376,0.27475104,0.32925487,0.4016349,0.46149597,0.48658895,0.47393596,0.4415318,0.4098678,0.38955674,0.37793455,0.36579832,0.34554157,0.3167858,0.28950736,0.2804124,0.30506596,0.36350718,0.4368042,0.49178013,0.50447375,0.47302154,0.4199302,0.37218222,0.34506094,0.33593658,0.3326325,0.32542485,0.3133336,0.3055712,0.31432536,0.34852096,0.40184656,0.45495722,0.48184946,0.47169235,0.43381953,0.39293694,0.36757448,0.36096597,0.36299452,0.36259905,0.3549417,0.34160033,0.32952002,0.32764766,0.34604672,0.38226783,0.4205145,0.43270466,0.4054446,0.34623075,0.2828866,0.23813881,0.22154959,0.22765015,0.24557917,0.26220474,0.2655376,0.25157577,0.22981094,0.22395058,0.2526043,0.31454137,0.38012466,0.416639,0.40796712,0.36755025,0.31987408,0.28559664,0.26954433,0.2657834,0.26328546,0.25534165,0.24450745,0.24256408,0.2642614,0.31130943,0.36823213,0.4043244,0.40146247,0.36286044,0.31453845,0.27889994,0.26526237,0.26668438,0.27211523,0.27232394,0.2640222,0.25157085,0.2459728,0.26181686,0.30370894,0.36105832,0.407524,0.42405072,0.40893242,0.38096437,0.35820195,0.34845188,0.34616742,0.34270123,0.33247793,0.31593534,0.30057624,0.297807,0.3200123,0.36552766,0.41700187,0.4425968,0.42485014,0.3680475,0.30015007,0.24584852,0.21821608,0.2137445,0.22251113,0.2317028,0.2312782,0.21962525,0.2068765,0.21365164,0.25296357,0.31941393,0.38301715,0.41603407,0.40919963,0.3804349,0.35124516,0.33121857,0.31317738,0.28612867,0.24760853,0.20730253,0.18357868,0.19294982,0.24274717,0.32076314,0.4004439,0.44796667,0.4473538,0.40379524,0.34346607,0.29008627,0.25922537,0.25135598,0.259807,0.27255237,0.28252065,0.29191828,0.31175268,0.35125947,0.4040726,0.44998446,0.46437967,0.44238067,0.3990393,0.36171162,0.34535682,0.3492534,0.361495,0.37184075,0.3743056,0.36623773,0.35102627,0.3391527,0.34853613,0.38477087,0.43601194,0.47015753,0.4677484,0.43061748,0.3858106,0.35541406,0.34635964,0.34742835,0.34459457,0.32967326,0.30388644,0.2779483,0.26733744,0.2872982,0.33650053,0.396849,0.4371142,0.44172797,0.41475686,0.3794401,0.3524733,0.33905992,0.33109367,0.31957927,0.2989737,0.2715712,0.24800496,0.24427885,0.2749036,0.33645985,0.40722945,0.4526081,0.4556475,0.42035714,0.3708112,0.32392994,0.28692552,0.25510883,0.22391845,0.1901828,0.15630554,0.13072176,0.12681754,0.15693219,0.21803093,0.28964537,0.33824015,0.34573534,0.3157084,0.27354425,0.23897927,0.21972549,0.207817,0.19393867,0.17362647,0.15446787,0.152506,0.1839447,0.25369874,0.3465476,0.4334207,0.48277378,0.48449898,0.45087937,0.41029227,0.38133785,0.36739305,0.35806224,0.34367523,0.3204117,0.29346588,0.27432176,0.2770339,0.30951294,0.36396658,0.41784564,0.4440663,0.43252006,0.3934882,0.35173473,0.32463458,0.31678998,0.32014707,0.3252504,0.32431266,0.31651565,0.30783293,0.311828,0.3397505,0.3893846,0.44098637,0.4679133,0.45870778,0.4234642,0.38651288,0.3642782,0.3591787,0.36300886,0.36815655,0.36991045,0.3668233,0.36104476,0.36083606,0.376577,0.40990722,0.44826916,0.47047558,0.4661725,0.4414672,0.41417658,0.3952572,0.38512382,0.3765732,0.36435273,0.34660068,0.32502237,0.3058857,0.30054227,0.32092404,0.36480927,0.41307417,0.43675068,0.4240392,0.3839508,0.34058627,0.30822334,0.2894143,0.277679,0.26917574,0.26257396,0.25908816,0.26234457,0.27902874,0.31512558,0.36582783,0.414048,0.4376937,0.4290236,0.39767703,0.36410892,0.34117618,0.3308971,0.32669333,0.32201713,0.31285217,0.3001357,0.2906195,0.2954677,0.3233023,0.36890805,0.4122349,0.42824236,0.40851757,0.36447307,0.31954977,0.28821424,0.27287486,0.26636687,0.26238734,0.25733268,0.25227776,0.25256082,0.26725218,0.303605,0.35746887,0.41127065,0.4416075,0.43849444,0.40998146,0.37647152,0.3519031,0.33869424,0.32931328,0.31609797,0.29603428,0.27345645,0.2591289,0.26642486,0.3028489,0.35931745,0.40988505,0.42461202,0.39309397,0.3293436,0.26122686,0.2060823,0.16564547,0.13122801,0.09789599,0.066938035,0.043136526,0.028748808,0.022275439,0.020149596,0.019312566,0.018143374,0.016166102,0.0135240955,0.010738246,0.0084364405,0.007016444,0.006448561,0.0063679195,0.0063299094,0.0059999283,0.0052946433,0.0043620835,0.0034929235,0.0028818597,0.0025312463,0.002293028,0.0020526878,0.0017940571,0.0015591442,0.0013608701,0.0011908333,0.0010536541,0.0009880951]