[0.21331382,0.21849684,0.22485632,0.22253901,0.20889862,0.18986334,0.1748867,0.16943915,0.17314063,0.18145879,0.1896299,0.19501913,0.19735314,0.19752951,0.19645329,0.1952197,0.19467534,0.19595861,0.19935374,0.2050127,0.21166675,0.21763404,0.22084297,0.22101302,0.21975826,0.21966921,0.2215976,0.22377425,0.22336526,0.21927936,0.21293704,0.20640765,0.2003854,0.19388269,0.1862648,0.17803143,0.17115168,0.16672365,0.16492514,0.16408698,0.16295335,0.16049153,0.15716249,0.1534679,0.15034051,0.1480154,0.14697073,0.14756145,0.15116733,0.15856902,0.16945107,0.18054162,0.18779206,0.18807863,0.18178384,0.17190666,0.16229726,0.15546207,0.15137704,0.1484374,0.14492458,0.14138484,0.14012234,0.14349134,0.15101452,0.15962802,0.1658072,0.16830425,0.16831875,0.16788483,0.16804308,0.16839553,0.16790713,0.16606444,0.1635039,0.16150175,0.16088955,0.16138385,0.16206074,0.16222294,0.16150193,0.15946993,0.1552266,0.14862083,0.14103901,0.13581003,0.13584054,0.14156784,0.15004806,0.15715338,0.16078179,0.16200294,0.16365874,0.16722734,0.1718141,0.17538638,0.17668553,0.17629887,0.17517447,0.17414011,0.17287742,0.17144863,0.17000823,0.16925268,0.16927458,0.1698557,0.17052607,0.1712557,0.17253612,0.1753841,0.18017457,0.18606657,0.19068772,0.19239742,0.191025,0.18820988,0.18502815,0.181585,0.17711072,0.1720246,0.1685987,0.17051727,0.18002678,0.19578315,0.21271004,0.2251727,0.2299674,0.22751586,0.2200649,0.20996515,0.1981499,0.18475617,0.16930722,0.1519721,0.13347517,0.11550808,0.100082785,0.08890364,0.082414836,0.07928152,0.07701544,0.07310345,0.066812865,0.060287133,0.05906722,0.06937001,0.09417055,0.12903717,0.16396253,0.18863088,0.19888866,0.19810283,0.19297849,0.1887993,0.18548258,0.18077344,0.1730069,0.1648559,0.16057895,0.16235043,0.1686699,0.17564167,0.18136865,0.18540871,0.18894309,0.19198938,0.1945812,0.19638842,0.1972242,0.19609864,0.19177699,0.18411404,0.17536919,0.16866769,0.16612081,0.16675435,0.16892694,0.17109364,0.17368366,0.17709614,0.18129967,0.1853906,0.18739116,0.18536665,0.17608672,0.15790044,0.1316992,0.10442016,0.08616673,0.0846382,0.09934446,0.12134248,0.14059557,0.1517148,0.15652598,0.15900278,0.16168939,0.1636995,0.16277449,0.15771927,0.1486719,0.13665463,0.12223589,0.107854985,0.09857836,0.10014758,0.11401401,0.1351975,0.15658712,0.17323174,0.18439786,0.19046883,0.19192599,0.18912697,0.18322168,0.17558038,0.16710322,0.15929407,0.1552468,0.15969773,0.17454393,0.19564365,0.21311407,0.21954502,0.21558863,0.20984149,0.20942134,0.21456367,0.21916147,0.2181695,0.21118982,0.20119731,0.19104677,0.1818769,0.17459327,0.16989319,0.1678757,0.16686063,0.16489103,0.1615572,0.15870406,0.15932918,0.16537964,0.17735346,0.19281147,0.20786864,0.21728182,0.21943086,0.21581264,0.21131502,0.20825572,0.20684518,0.20505832,0.20250227,0.19935794,0.1959665,0.19141777,0.18495564,0.17719261,0.17074752,0.16891104,0.17331731,0.18260908,0.19331332,0.20217484,0.20788336,0.21063435,0.21181393,0.21251614,0.21372563,0.21452403,0.21390124,0.21111517,0.20767534,0.20525743,0.20476468,0.20540534,0.20591617,0.20519434,0.20223868,0.19575752,0.18484356,0.1700928,0.15450746,0.1418252,0.13446544,0.13172902,0.13121624,0.13073748,0.1300303,0.13013335,0.13240689,0.13734908,0.1444466,0.15212466,0.15865326,0.16291653,0.16512506,0.16620792,0.16706918,0.16809501,0.1695466,0.17194147,0.1759851,0.18190159,0.1886611,0.1939273,0.19508536,0.19080777,0.1819017,0.17078726,0.16073799,0.15427445,0.15247633,0.1536236,0.15521348,0.1559531,0.15792672,0.16441362,0.17630069,0.19040549,0.2013195,0.20580725,0.2041198,0.19899493,0.1923583,0.18425126,0.17310917,0.15742339,0.13693607,0.11307615,0.088659346,0.06665047,0.04913583,0.036553744,0.028134873,0.02262043,0.019203259,0.018501958,0.023301119,0.037869997,0.06412196,0.097750776,0.1281555,0.14518906,0.14601879,0.1364658,0.12512662,0.11730555,0.11359906,0.11233301,0.11220884,0.1126802,0.11354496,0.114450894,0.11507708,0.115223676,0.11497573,0.11456763,0.11436082,0.114600815,0.11545191,0.116891295,0.118802704,0.12092925,0.12294197,0.1245207,0.1254694,0.12582666,0.12583554,0.12591864,0.12648262,0.12797421,0.13070494,0.13481198,0.13968308,0.1437353,0.14478092,0.14129424,0.13386905,0.12510215,0.118161045,0.11416409,0.111287564,0.10603098,0.09699542,0.087549925,0.08497017,0.09511549,0.11774689,0.14584006,0.17060567,0.18626006,0.1922731,0.19162065,0.18796098,0.18343766,0.17709725,0.16678233,0.15224773,0.13827647,0.13271485,0.14034742,0.15945643,0.18202502,0.20057668,0.21069469,0.21367764,0.21264285,0.21149726,0.21132664,0.21148509,0.21006303,0.20652568,0.20166533,0.19723465,0.19432801,0.19336069,0.19426942,0.19813429,0.20623565,0.21895202,0.23293006,0.24300198,0.24460071,0.23738824,0.22420533,0.20924328,0.1958398,0.1860395,0.18064284,0.17924352,0.18043363,0.18220079,0.18260588,0.18133523,0.18015166,0.18256776,0.19032812,0.2020949,0.21318972,0.21987754,0.22114646,0.21945566,0.21736436,0.21551363,0.21191996,0.204735,0.19509459,0.18792433,0.18826313,0.1975803,0.21214199,0.2271867,0.23931962,0.2481233,0.25332722,0.2547822,0.25243568,0.24687137,0.23860337,0.22729816,0.21389015,0.20146714,0.19481729,0.19629312,0.20349479,0.21118428,0.2146886,0.21364671,0.20990263,0.20688194,0.20569573,0.20635551,0.2064303,0.20389281,0.1971435,0.1869544,0.17555209,0.16592427,0.1599241,0.15757887,0.15745752,0.15764858,0.15641332,0.15275961,0.14733796,0.14297365,0.14293791,0.1481073,0.1556666,0.16162173,0.1642682,0.16498666,0.1657845,0.16687085,0.16712724,0.16692097,0.1697017,0.18104066,0.20333882,0.23295923,0.2598224,0.27513358,0.2759256,0.2673515,0.256419,0.24793993,0.24182574,0.2351598,0.22453927,0.20856617,0.1895713,0.17318635,0.1655199,0.16904853,0.18100639,0.19626312,0.21105571,0.22484308,0.23757704,0.24840577,0.2551364,0.25678715,0.2536839,0.24750619,0.23982628,0.23162474,0.22316264,0.21404183,0.203979,0.19281638,0.18116795,0.17029887,0.1627226,0.16172697,0.16944043,0.18443902,0.20106988,0.21330144,0.21837968,0.21839319,0.21693659,0.21654218,0.21756129,0.21946771,0.22163065,0.22363077,0.2252515,0.22653417,0.22775848,0.22903995,0.22997944,0.22970922,0.22761883,0.22394602,0.21961214,0.21524435,0.21059595,0.20511866,0.19921494,0.19478618,0.19380291,0.1965689,0.20107327,0.20484896,0.20691414,0.20795333,0.209134,0.21032734,0.21058929,0.20872016,0.20496829,0.20084299,0.19835836,0.19834785,0.19960815,0.19895725,0.19210887,0.17588334,0.15159218,0.12701757,0.113012575,0.11590189,0.13205624,0.15144734,0.16556568,0.1730033,0.17644764,0.17863442,0.17947365,0.17790967,0.17229699,0.162028,0.14842488,0.13674007,0.13400187,0.14458822,0.16550264,0.18774986,0.20270562,0.20812297,0.20841293,0.20847471,0.20959269,0.20899117,0.20459437,0.19683962,0.18856494,0.18229324,0.17888527,0.17756926,0.17713167,0.17731096,0.1792832,0.18467633,0.19434278,0.20682569,0.21855064,0.22438389,0.21975291,0.20281328,0.17617488,0.14651574,0.12221032,0.10997448,0.112823166,0.12809666,0.14855786,0.16444989,0.17002352,0.16598861,0.15927067,0.15640439,0.16016369,0.16815078,0.17636852,0.18144314,0.18306346,0.18270229,0.18248378,0.18250185,0.18170221,0.17899203,0.17536634,0.17282696,0.17251591,0.17352147,0.17393483,0.17320766,0.17255102,0.17386574,0.17756213,0.18256684,0.1872205,0.19079436,0.19331576,0.19554758,0.19824673,0.20213716,0.206833,0.21117048,0.21381831,0.2147369,0.2149368,0.21546413,0.21587266,0.21403216,0.20739783,0.19559725,0.18194646,0.17185943,0.16910316,0.17320387,0.1808796,0.18876427,0.1950568,0.19862734,0.19849513,0.1941904,0.18692358,0.1796429,0.1757149,0.17658985,0.18068273,0.18458305,0.18588014,0.1846358,0.18251841,0.18082155,0.17977263,0.179226,0.17971624,0.18250488,0.1886317,0.19766967,0.20734723,0.214504,0.21707045,0.21500307,0.21055372,0.20608048,0.20349173,0.20241874,0.20227201,0.20206903,0.20232777,0.20365024,0.20683181,0.21209987,0.21861005,0.22438167,0.22617964,0.22212386,0.21252786,0.20045875,0.18863422,0.1783387,0.16894372,0.1601855,0.15240388,0.14640029,0.1422292,0.13956685,0.13806953,0.13749619,0.13738798,0.13714986,0.13658454,0.13612676,0.13624822,0.13732739,0.13920867,0.14185925,0.14444666,0.14605464,0.14561944,0.14327557,0.13974749,0.13583785,0.1318137,0.1276756,0.12373654,0.12041875,0.118246816,0.1173473,0.11759538,0.1183981,0.11910701,0.119393654,0.11951027,0.1200126,0.12107355,0.1223269,0.12310181,0.122990645,0.122048795,0.12056035,0.118891396,0.11718453,0.115548976,0.11396604,0.1126813,0.11211536,0.112873636,0.11551503,0.12087289,0.1302347,0.14436279,0.16165645,0.1772822,0.18610306,0.18708809,0.18536095,0.18773358,0.19606322,0.20464945,0.20592459,0.19890009,0.1916526,0.1948575,0.21181387,0.23494321,0.25102207,0.25059685,0.23421113,0.21094435,0.1926253,0.18594019,0.19037257,0.20069699,0.21379377,0.23059587,0.252771,0.2774715,0.29763615,0.3078637,0.30860153,0.30506903,0.30201828,0.30121684,0.30197334,0.30270576,0.30196038,0.2985408,0.2931462,0.28783882,0.28569528,0.28832722,0.29614648,0.3072182,0.31837702,0.3248498,0.3236399,0.31455612,0.30160165,0.28918883,0.27977884,0.27196407,0.26271,0.24919297,0.22920579,0.20127226,0.16544385,0.12579638,0.090108566,0.06829475,0.06953612,0.0980447,0.149081,0.20693916,0.25312436,0.27633992,0.27906838,0.2714688,0.2628388,0.25637448,0.2514672,0.24693666,0.24281006,0.23924625,0.23604701,0.23231328,0.22751676,0.22181244,0.21618801,0.21185221,0.20973001,0.21008377,0.21236187,0.21549661,0.21905468,0.22340898,0.22972143,0.23742034,0.24452291,0.24763836,0.24582393,0.24074669,0.23672545,0.23657326,0.23997514,0.24291272,0.2415284,0.23501915,0.22680895,0.22065431,0.21731897,0.21353698,0.20584564,0.19368458,0.18013996,0.16919589,0.16335075,0.1629317,0.16717903,0.17506461,0.18507849,0.19485374,0.20189232,0.20502199,0.20494193,0.2033699,0.20159163,0.20008714,0.19863844,0.19729479,0.19691592,0.19994533,0.2090057,0.22470939,0.24352972,0.25955296,0.26812935,0.26886883,0.26478934,0.25943202,0.25487223,0.25136825,0.248441,0.24527471,0.24201661,0.23937087,0.23838562,0.23842113,0.23808789,0.23628892,0.23363928,0.23107821,0.22854416,0.22534652,0.22115517,0.21637213,0.21043412,0.2012438,0.186077,0.16416913,0.13803697,0.112635165,0.092401005,0.07905486,0.07135934,0.06717693,0.0661434,0.0711227,0.0876773,0.119127154,0.16260844,0.20752485,0.2426944,0.262498,0.27013016,0.27228916,0.27380678,0.27470973,0.2723683,0.26566985,0.25777948,0.25465333,0.26015005,0.27184737,0.2828151,0.28694817,0.2834761,0.27598056,0.26855814,0.26280794,0.2577878,0.25176355,0.24428819,0.23663561,0.23076503,0.22713445,0.22425751,0.22009563,0.21412575,0.20701717,0.19982387,0.19231504,0.18532883,0.18076964,0.18375422,0.19771975,0.2219614,0.24728768,0.2620795,0.259155,0.24234825,0.22205885,0.2077263,0.20164098,0.20057718,0.20030864,0.19959468,0.2000038,0.20339091,0.20947893,0.21539104,0.21768601,0.21367621,0.20343171,0.18917537,0.17552643,0.16637444,0.16479415,0.17264386,0.19278757,0.22567403,0.26684698,0.3054036,0.3314087,0.3410509,0.33894363,0.33205616,0.32516435,0.31869555,0.31087884,0.30122218,0.29206088,0.28837156,0.29321313,0.3051678,0.3177518,0.32502735,0.32526293,0.32151067,0.31724563,0.3133168,0.30864742,0.30236465,0.29531452,0.2880011,0.2787553,0.26339445,0.23824523,0.2040736,0.16659532,0.13358729,0.109884195,0.0958902,0.08902365,0.08761519,0.09297078,0.10831171,0.1341446,0.1650536,0.19110394,0.20463447,0.20447893,0.19571833,0.18422179,0.17394917,0.16610278,0.16084425,0.15782447,0.15653856,0.15657546,0.15720142,0.15784776,0.15756875,0.15612523,0.1532079,0.14926648,0.14461255,0.13992016,0.13523234,0.13045943,0.12556125,0.12128977,0.11848444,0.117542654,0.11801473,0.119783185,0.12304968,0.12811981,0.13362265,0.13728432,0.13774036,0.13778527,0.14340721,0.15918882,0.18254854,0.20417817,0.21462202,0.21165578,0.20048885,0.18851852,0.17956972,0.17446165,0.17362966,0.17896998,0.19115542,0.20717265,0.2210412,0.2273488,0.22497208,0.21667367,0.20713095,0.19964044,0.19556518,0.19456033,0.19635226,0.20142776,0.21116598,0.22638626,0.24552822,0.2642522,0.27719936,0.2817417,0.27895987,0.2724694,0.2652528,0.2588185,0.2533362,0.24799621,0.24198689,0.23541886,0.23050998,0.22932582,0.23183256,0.23547478,0.23831129,0.24094309,0.24505414,0.2504888,0.2544392,0.2542462,0.24950893,0.24121673,0.22900094,0.21050537,0.18466912,0.15428042,0.1255941,0.103856415,0.09070935,0.08416504,0.081277855,0.0807325,0.08421279,0.096759856,0.12259268,0.16112483,0.20363475,0.2389669,0.25942528,0.26570663,0.26319742,0.2578085,0.25243595,0.24756794,0.24253891,0.23719142,0.23240386,0.230057,0.23137681,0.23626812,0.24273919,0.24857183,0.25168478,0.25174925,0.24990147,0.24956314,0.25342405,0.2622069,0.27270773,0.28147915,0.2861051,0.28673223,0.2838758,0.27844205,0.27197397,0.26645938,0.26319718,0.26094642,0.2572762,0.24995112,0.24000357,0.2304135,0.22492434,0.2240908,0.22588344,0.22646159,0.22340532,0.21627218,0.2064779,0.19644445,0.18853511,0.18474166,0.18550432,0.18992954,0.1956776,0.20042944,0.20261182,0.20199364,0.19879252,0.19341318,0.1864871,0.18106024,0.18387277,0.20527734,0.25282612,0.32194996,0.39310005,0.44074622,0.45255303,0.43527555,0.40891352,0.38880047,0.38072202,0.38185334,0.3879424,0.39478454,0.39837167,0.39509168,0.38226807,0.36012116,0.33366266,0.31407055,0.3159572,0.34487727,0.38994122,0.4237932,0.4268261,0.39936873,0.36495897,0.3419478,0.3326048,0.31995946,0.2931417,0.2540191,0.21815741,0.1968912,0.19356741,0.20308582,0.22113211,0.24695349,0.28508627,0.33772597,0.3988842,0.4508935,0.47644928,0.4697765,0.44177803,0.4095795,0.38602486,0.37483194,0.37334085,0.3764597,0.37869036,0.3751574,0.36171183,0.33629188,0.30021954,0.25940728,0.22190715,0.19417095,0.1777078,0.16972774,0.16581018,0.16281934,0.16012837,0.159328,0.16216834,0.16910785,0.17818587,0.1872503,0.19467373,0.20084286,0.20643653,0.21222919,0.21826117,0.22535317,0.23571026,0.25231257,0.2738419,0.29290965,0.29792556,0.28381628,0.2553829,0.22592078,0.20569162,0.197787,0.19758259,0.19929671,0.19914661,0.19648711,0.19131027,0.18237889,0.16814047,0.15004243,0.13453682,0.12939279,0.13681777,0.15042166,0.15986264,0.16266666,0.16960146,0.20215845,0.2719302,0.36866942,0.45749518,0.50692374,0.50711924,0.47749707,0.44388476,0.42319235,0.41622233,0.4169844,0.4195911,0.42116478,0.41990295,0.4124297,0.39437667,0.3648479,0.332023,0.31328332,0.32417762,0.36269736,0.40461388,0.41890404,0.39481914,0.35003972,0.31551108,0.3063282,0.31366602,0.31669813,0.30401406,0.2797533,0.25599614,0.24085604,0.23468113,0.23398586,0.23826839,0.2533429,0.28827307,0.34462127,0.40971127,0.45954046,0.47781315,0.465718,0.44151512,0.42181718,0.4142557,0.41578034,0.4220395,0.42887613,0.4320211,0.42411983,0.39779627,0.35093388,0.29115504,0.23253383,0.1882984,0.16350484,0.15505402,0.15516914,0.1568255,0.1556838,0.15125136,0.14525755,0.1406331,0.13911669,0.14165165,0.14791226,0.15738131,0.16798776,0.17673425,0.1800409,0.17790984,0.1756975,0.18475343,0.2116173,0.25193736,0.28648552,0.29882482,0.28406355,0.25544664,0.22886224,0.2165621,0.22069371,0.23839696,0.2620361,0.28313935,0.29444763,0.29354346,0.2824293,0.26569566,0.24789073,0.231893,0.21932001,0.21026804,0.20503001,0.20380801,0.21068804,0.23283903,0.2777872,0.3413086,0.4053484,0.44545034,0.4513023,0.4314207,0.4057496,0.38685128,0.37709776,0.37194014,0.36906818,0.36733446,0.36536467,0.35876182,0.3420147,0.31287596,0.27746952,0.25275415,0.25916556,0.30449536,0.37221456,0.42547226,0.43562976,0.4018679,0.35400856,0.3208101,0.31106678,0.3081357,0.2953074,0.26764122,0.23580265,0.21072303,0.19811888,0.19668882,0.2052974,0.22590649,0.2638426,0.31961742,0.38260734,0.4311485,0.4477022,0.43172792,0.40047514,0.37378922,0.3610885,0.36052552,0.36654934,0.3756434,0.38569173,0.39370406,0.39502168,0.38505733,0.36146894,0.3267013,0.28754398,0.25242034,0.22648221,0.20975651,0.1992579,0.19239222,0.18935859,0.191184,0.19844669,0.2089838,0.21926135,0.22514786,0.22437184,0.21657676,0.20290066,0.1852672,0.16769962,0.15801537,0.16597547,0.19712655,0.24489069,0.29084447,0.31344596,0.3033172,0.2682621,0.22786401,0.19843847,0.18552329,0.18465978,0.18949163,0.1965055,0.2051561,0.21471106,0.22323883,0.22853221,0.22984618,0.22771299,0.2231267,0.21722941,0.21148117,0.20800455,0.21100296,0.22738095,0.26678392,0.3309318,0.4081285,0.4701356,0.49439123,0.475866,0.4354185,0.39765668,0.3789767,0.37765816,0.38498423,0.39207694,0.39512643,0.39219904,0.37986246,0.3543346,0.31692037,0.2800152,0.26476946,0.28737414,0.34294638,0.40244946,0.43177417,0.41765228,0.37642097,0.33650172,0.3133323,0.30000743,0.28087565,0.24907064,0.21312165,0.1870571,0.17799942,0.18174647,0.18896323,0.19716974,0.21494842,0.25662288,0.32415608,0.40107206,0.45783386,0.47737136,0.46271452,0.43530595,0.41304395,0.40465286,0.4072236,0.41593564,0.4253322,0.43111607,0.4275012,0.40931055,0.3746226,0.32925943,0.28480905,0.25341627,0.24020177,0.24166967,0.24822521,0.250005,0.24162382,0.22465076,0.20599492,0.19283813,0.18683256,0.18634176,0.1918407,0.21371324,0.2597995,0.32479033,0.37917426,0.3953869,0.36699367,0.3242984,0.30294538,0.32128492,0.3611013,0.39483026,0.40455458,0.4018929,0.40553617,0.42570698,0.44821608,0.45535603,0.44019577,0.41572225,0.3957498,0.38437602,0.37251937,0.3536993,0.329506,0.3109572,0.30486682,0.31008217,0.31514445,0.31186756,0.30143246,0.29860553,0.31827033,0.36246896,0.4146342,0.4497826,0.45444015,0.4323217,0.40032443,0.37170133,0.3530141,0.34377265,0.34216103,0.3451749,0.3493209,0.35173237,0.351271,0.34914565,0.3494216,0.35823277,0.3820629,0.4195273,0.45964822,0.48322573,0.47952476,0.4519278,0.41914615,0.39661896,0.3892924,0.38783988,0.383042,0.3708367,0.3563907,0.34502426,0.3399926,0.33961082,0.3425093,0.34993863,0.36765108,0.39914536,0.4391333,0.47146142,0.4809998,0.46480265,0.43485928,0.40638983,0.38717523,0.37508035,0.364324,0.3521571,0.34062886,0.33372393,0.33310333,0.33663246,0.34043148,0.34195933,0.34111214,0.3386102,0.3344451,0.32701528,0.31520474,0.29954842,0.28413725,0.2740899,0.27330276,0.2810057,0.29292142,0.30382147,0.31053388,0.31238857,0.30980423,0.30337164,0.29425725,0.28571737,0.28348687,0.2924521,0.3116963,0.33243656,0.34332773,0.33905974,0.32364377,0.3059946,0.29195213,0.28159568,0.27177086,0.26069015,0.24968112,0.24171324,0.23968999,0.24453074,0.25560567,0.26960912,0.28288868,0.29159865,0.29506457,0.2942225,0.29225206,0.29341757,0.30388376,0.33082333,0.37410986,0.42304364,0.4554554,0.4568844,0.42834654,0.38909903,0.3564655,0.33769223,0.32745448,0.3203337,0.31478894,0.314596,0.32179257,0.33529055,0.34914544,0.3591194,0.36557722,0.3760878,0.39678004,0.4250727,0.446883,0.4492567,0.43193057,0.4097402,0.396919,0.3960828,0.3967723,0.3906314,0.37750557,0.36533377,0.3584617,0.35518768,0.34952918,0.33968675,0.33183888,0.3378487,0.3665087,0.4126871,0.45798266,0.4805217,0.47307977,0.4443678,0.41234016,0.38748375,0.37220076,0.3628647,0.35809413,0.35702744,0.35883486,0.36095095,0.36191735,0.36202505,0.36259213,0.36382142,0.36451423,0.36370814,0.36156908,0.3592758,0.35747075,0.35621002,0.35527578,0.35500225,0.35560787,0.356357,0.35525092,0.35085198,0.3441428,0.3387721,0.33816266,0.34243906,0.34886047,0.35492828,0.36217663,0.3720995,0.38313428,0.38747904,0.38037863,0.36327302,0.34516692,0.33269152,0.32748577,0.326437,0.32707646,0.32889152,0.33234128,0.33681035,0.34004474,0.33974838,0.3355886,0.32984516,0.32514885,0.322749,0.32187268,0.32187843,0.32307252,0.3287057,0.34437898,0.37512708,0.41669437,0.45414853,0.46892512,0.45669553,0.42903218,0.40588307,0.39659342,0.39912263,0.40426376,0.4064586,0.4040878,0.39738202,0.3849775,0.3640165,0.33282968,0.2958386,0.26599672,0.2620038,0.29241732,0.34536564,0.38878277,0.39814064,0.37308726,0.3396524,0.32056507,0.3200283,0.32175434,0.31165874,0.28771755,0.26095572,0.24159585,0.23333216,0.23209502,0.23422651,0.24114425,0.26130736,0.2997587,0.35001305,0.3916352,0.4067457,0.39286384,0.3653386,0.34252533,0.33376324,0.33742157,0.34684542,0.35592678,0.36001876,0.35592422,0.34198442,0.3187264,0.2891719,0.25831255,0.23229577,0.21629621,0.21217155,0.21736908,0.22617243,0.2329425,0.23387973,0.22758062,0.21361513,0.1927978,0.16782446,0.14446795,0.13020761,0.13085647,0.14675315,0.17164451,0.1966839,0.21664435,0.23404662,0.25467908,0.2791724,0.29843238,0.30039918,0.28130916,0.24951,0.21891715,0.19884443,0.19120084,0.19305708,0.20064531,0.21019237,0.21804242,0.22155501,0.22002572,0.21501665,0.20860237,0.2021718,0.19543515,0.18811405,0.18120344,0.17778338,0.1830735,0.2034847,0.24608822,0.3098562,0.3826708,0.4395263,0.4621004,0.44736683,0.41371325,0.38135204,0.3631592,0.35745227,0.358153,0.35964277,0.36038232,0.3598028,0.35643473,0.34792402,0.3341683,0.32143643,0.32252577,0.34654316,0.38684395,0.41703856,0.4114091,0.36598542,0.30737594,0.26768446,0.26122686,0.27308175,0.28040552,0.26983982,0.2474555,0.22534098,0.21186228,0.20616983,0.20562994,0.21289401,0.23759024,0.28842577,0.35960415,0.4293224,0.46978137,0.47014955,0.43997374,0.40331665,0.3770326,0.36746433,0.36958694,0.37738705,0.3846927,0.38743928,0.38181284,0.3654013,0.3379949,0.30288872,0.26631194,0.23508234,0.21333623,0.20123833,0.19585644,0.19416153,0.19448566,0.19661635,0.19998623,0.20324934,0.20468171,0.20370333,0.20093137,0.197702,0.19480006,0.19247554,0.1905049,0.1904288,0.19601351,0.21375068,0.24501126,0.28311786,0.31132647,0.3174851,0.29973984,0.27007654,0.24069293,0.21896715,0.20460446,0.19568111,0.19066705,0.18938442,0.19149274,0.19537441,0.19802044,0.19697262,0.19297487,0.18996067,0.1917212,0.19800247,0.2047053,0.20795079,0.20786564,0.20849134,0.21409433,0.2264123,0.24352598,0.26172712,0.27632633,0.2847236,0.28605795,0.28274596,0.27733156,0.27294478,0.270931,0.27134815,0.27253225,0.272249,0.26980343,0.26584017,0.26281437,0.2625513,0.26591396,0.2715029,0.27681544,0.2794052,0.2779742,0.2721608,0.26195386,0.24764961,0.2302932,0.21178998,0.19447237,0.18048851,0.17110008,0.16629209,0.16477883,0.1647147,0.16488796,0.16554148,0.16899021,0.17825216,0.19450332,0.2147411,0.23283851,0.24426897,0.24876045,0.25019607,0.25174975,0.2547858,0.2577668,0.25927424,0.25813082,0.25548387,0.25339052,0.25372782,0.25585887,0.25726518,0.25576928,0.25107124,0.24497104,0.2393595,0.23555775,0.23327881,0.231754,0.23031719,0.22921629,0.22896945,0.22941007,0.2297618,0.22912294,0.22753821,0.22529005,0.22258614,0.21865182,0.21286881,0.20486622,0.1955446,0.18597437,0.17756301,0.17092018,0.16656019,0.1649033,0.16674866,0.17229803,0.1804244,0.18881084,0.19527544,0.19865404,0.19880842,0.19594546,0.19063558,0.18387114,0.17707129,0.17141575,0.16743468,0.16504008,0.16388442,0.16358812,0.1640778,0.16620879,0.17233403,0.1852669,0.20594041,0.23153241,0.25607172,0.27405283,0.2829704,0.28446758,0.28122476,0.27547598,0.26761135,0.258198,0.24831305,0.2396806,0.2334456,0.22982447,0.22833838,0.22804137,0.22795993,0.22694165,0.22418857,0.21934158,0.21291654,0.20560063,0.19744022,0.1874503,0.17464238,0.15969896,0.14547032,0.13553299,0.1317911,0.13309793,0.13583647,0.13617693,0.13245194,0.12764163,0.12780873,0.13902152,0.16087884,0.18730871,0.20952298,0.22379166,0.23134154,0.23645858,0.24126273,0.24565148,0.2481954,0.24826455,0.24617346,0.24318105,0.24081282,0.24010396,0.24060476,0.24094963,0.24015291,0.23902589,0.23890686,0.24047355,0.24259865,0.24409683,0.24432586,0.24379463,0.24288215,0.24161749,0.2399744,0.23836403,0.23821604,0.24027014,0.2444578,0.24880989,0.25196156,0.25297546,0.25159058,0.24610727,0.23382132,0.21230154,0.18148382,0.14498276,0.11028697,0.086978704,0.08179603,0.094222404,0.115747906,0.1358784,0.14806299,0.15258855,0.15338737,0.15428235,0.15643774,0.15860975,0.15883297,0.15573679,0.14892934,0.1385541,0.12624939,0.11643695,0.1154412,0.12793283,0.15358871,0.18831946,0.22659592,0.2636086,0.2944064,0.31549886,0.32620013,0.32959616,0.32966986,0.32879713,0.32681286,0.32248262,0.3145899,0.3028959,0.28795686,0.271904,0.25751752,0.24828278,0.24609195,0.25066718,0.2586617,0.2658521,0.26912495,0.2675449,0.2615905,0.2518541,0.2393586,0.22585653,0.21404397,0.2058671,0.20168239,0.20010793,0.1997719,0.2001092,0.20146994,0.20420353,0.20855904,0.21485084,0.22324432,0.23284338,0.24141707,0.2464494,0.24732302,0.2458785,0.24537928,0.24763139,0.25219145,0.25689626,0.2601014,0.26089382,0.25910273,0.2546083,0.24856843,0.24352612,0.24300681,0.24862616,0.25883842,0.2693911,0.2768974,0.28038445,0.28092876,0.2791773,0.2752762,0.26942626,0.26272425,0.25649333,0.25168988,0.2487198,0.24713784,0.24634705,0.24563675,0.24488837,0.24340527,0.23990713,0.23261221,0.22078663,0.20550354,0.18928106,0.17485785,0.16377352,0.15632994,0.15188779,0.149796,0.14948724,0.150948,0.15424387,0.15941505,0.16555543,0.17145418,0.17594719,0.17908673,0.18150796,0.18398242,0.18648006,0.18854283,0.1899585,0.1915298,0.19537018,0.20390303,0.21844113,0.23735459,0.25648996,0.27084634,0.27742055,0.27608958,0.26929206,0.26016,0.25115123,0.2431826,0.23625986,0.2304308,0.22599757,0.22301395,0.22063966,0.21815984,0.21527426,0.21250719,0.21007548,0.20780961,0.20529073,0.20161815,0.19572872,0.18543796,0.16931008,0.14691836,0.12069398,0.0942185,0.07126989,0.053952903,0.04282653,0.037001986,0.03510898,0.03666315,0.04410118,0.062362436,0.09535023,0.14056541,0.18846364,0.2271204,0.24941878,0.25512215,0.2486621,0.23506577,0.21877684,0.20320489,0.19053769,0.18109493,0.17388307,0.16779463,0.162416,0.15804003,0.15498428,0.15321179,0.15222146,0.15150027,0.15071842,0.14979942,0.14886752,0.14819737,0.14811319,0.14847434,0.1488251,0.14870715,0.14831167,0.14826705,0.14902113,0.1504182,0.15162319,0.15192403,0.15110715,0.1495531,0.1473246,0.14360917,0.13747011,0.12899897,0.119716495,0.11065925,0.1015171,0.09173527,0.08354802,0.08179902,0.090547234,0.10913376,0.13247614,0.15457545,0.17142726,0.18170954,0.18527015,0.18243869,0.17270349,0.15532863,0.13082394,0.10380528,0.08368968,0.08087791,0.10157875,0.14335346,0.19658065,0.24853916,0.2889028,0.31362602,0.32424855,0.3262688,0.32392803,0.32043317,0.31684494,0.314695,0.31461382,0.31683186,0.3203759,0.3241074,0.32682788,0.32822326,0.32852384,0.32878703,0.3296983,0.33159575,0.3340501,0.33642134,0.337953,0.33706215,0.33128858,0.31763318,0.29541597,0.26714954,0.23825644,0.2137902,0.19676282,0.18780304,0.18625921,0.19118674,0.20123339,0.21488953,0.22980829,0.2433368,0.25269404,0.25666618,0.25609878,0.25359288,0.25108632,0.24835102,0.24378519,0.23715459,0.23150356,0.23034608,0.23471914,0.24095254,0.24504131,0.24481453,0.24188554,0.23793143,0.23409098,0.22991307,0.22521265,0.21955349,0.21345757,0.20841737,0.20720673,0.2108744,0.21734212,0.22233455,0.22342934,0.22153938,0.21931708,0.21821517,0.21806115,0.21807826,0.21830015,0.21873434,0.21883929,0.21673103,0.21124153,0.20257054,0.19288053,0.18392926,0.1766565,0.17060584,0.16505642,0.15881115,0.15170851,0.14501679,0.1419571,0.14456253,0.15253259,0.16236581,0.17059807,0.17490856,0.17524749,0.17251682,0.16807908,0.16401912,0.16346626,0.17110257,0.18963595,0.2179503,0.24878134,0.2740731,0.28822896,0.2921878,0.29008713,0.28668174,0.28381145,0.28057238,0.2747756,0.2653972,0.2540324,0.24458146,0.24041258,0.24220185,0.24670307,0.2500301,0.2500522,0.2479896,0.24613066,0.246225,0.24842465,0.25225255,0.2563448,0.25941312,0.25922462,0.2545472,0.24471213,0.23134822,0.21656483,0.2023084,0.18873252,0.1748072,0.16045038,0.14868128,0.14563715,0.1559869,0.17821102,0.20390673,0.22335412,0.23182909,0.2313677,0.22756006,0.22495924,0.22509505,0.22683571,0.22821985,0.22771855,0.22486019,0.22019823,0.2150162,0.21107395,0.20970507,0.2115484,0.21579917,0.22098978,0.22479223,0.2256897,0.22343314,0.22011995,0.21838297,0.21958286,0.22263356,0.2252516,0.22621435,0.2258258,0.22547257,0.22560632,0.22631417,0.22707634,0.22901855,0.2328579,0.23897775,0.24390303,0.24368142,0.23489912,0.21880086,0.19801188,0.17543359,0.15278843,0.13338389,0.12158853,0.12029471,0.1278135,0.13969451,0.15151851,0.16144903,0.16839634,0.17206442,0.17221148,0.1697336,0.16532834,0.15971641,0.1540522,0.15125264,0.1552393,0.16916285,0.19245721,0.22030973,0.24503417,0.26055065,0.2652979,0.262231,0.2557735,0.2485805,0.24163906,0.2351731,0.23030733,0.22762431,0.22642456,0.22461969,0.22085254,0.21585436,0.21176307,0.21050309,0.21212782,0.21511857,0.21709184,0.21651192,0.21334098,0.20789708,0.19937015,0.1853354,0.16585566,0.14558291,0.13312916,0.13369866,0.14515199,0.15875731,0.16660716,0.16660255,0.16326986,0.16401345,0.17489438,0.19732375,0.22673677,0.25470945,0.27356407,0.28045776,0.27754784,0.2691163,0.25899836,0.24995814,0.24380964,0.24105273,0.24040271,0.2394957,0.23675375,0.23241605,0.22876269,0.22759092,0.22960216,0.23298739,0.23626597,0.23797774,0.23856956,0.23807184,0.23731123,0.23659302,0.23690884,0.23842959,0.24072428,0.24265647,0.24364312,0.24409586,0.2443979,0.24446659,0.24377197,0.24367811,0.24575026,0.2502949,0.25292087,0.24875729,0.2352367,0.21594544,0.19637616,0.18125893,0.1711574,0.16413419,0.15733786,0.149979,0.1440968,0.14333309,0.14928152,0.15950114,0.16888803,0.17378835,0.17403293,0.17199259,0.16970597,0.1679279,0.166763,0.16717474,0.17114194,0.18042962,0.19478379,0.21106724,0.22502227,0.23360664,0.23689318,0.23653607,0.23445721,0.23092073,0.22564994,0.21784897,0.20826435,0.19871415,0.19237812,0.1907494,0.19328697,0.19693209,0.19939423,0.19963884,0.19851571,0.1966558,0.19451253,0.19238101,0.19115369,0.19098403,0.19022457,0.18535827,0.17446534,0.1589902,0.14375529,0.13271423,0.12709583,0.12491459,0.123484135,0.12108219,0.11863092,0.119055696,0.12530495,0.1370179,0.15061557,0.16152394,0.16774255,0.16971262,0.16890605,0.16615133,0.1620398,0.15738867,0.15323609,0.15017693,0.14816178,0.14661865,0.14506643,0.14337228,0.14201231,0.14166658,0.14266776,0.14456475,0.14622758,0.14676116,0.1459496,0.14442147,0.14278984,0.1414336,0.14030051,0.13940609,0.1386718,0.13810909,0.13765407,0.13776197,0.13922693,0.14303893,0.14911498,0.15595025,0.16064613,0.1605059,0.15420707,0.14314552,0.13217469,0.12900524,0.14026387,0.16426001,0.18861748,0.19731009,0.185297,0.16504759,0.15689309,0.1719864,0.20221096,0.22897744,0.23586732,0.22044615,0.19177847,0.16492309,0.15036039,0.15166803,0.16847342,0.20561044,0.2708495,0.366089,0.47351906,0.56261086,0.6040182,0.59030753,0.53592736,0.46936217,0.415002,0.38451716,0.375193,0.37804568,0.38453856,0.39006075,0.3920219,0.38982877,0.38445902,0.37925124,0.37698045,0.3781741,0.3805556,0.38117275,0.37903985,0.37607673,0.37613258,0.381513,0.3905219,0.39815512,0.39966297,0.39386502,0.38327625,0.37217295,0.36451897,0.36275098,0.36898458,0.3861164,0.4196179,0.4724507,0.5411692,0.611301,0.6650343,0.68694085,0.6721923,0.62470675,0.557465,0.48670122,0.42790768,0.38887155,0.36953828,0.36351487,0.36326328,0.3621852,0.35746205,0.34975767,0.34211445,0.33682373,0.33406743,0.33260044,0.3314526,0.3310946,0.33301985,0.33806154,0.3452244,0.35114446,0.35307685,0.3500755,0.34478799,0.33978963,0.33675513,0.3341553,0.33049154,0.32502446,0.31985688,0.31732187,0.31841457,0.32077983,0.32082775,0.31638876,0.3083463,0.2991995,0.2906197,0.2834133,0.27818263,0.27666426,0.27995956,0.28793,0.2976766,0.3056101,0.30883202,0.30771378,0.3049283,0.30365458,0.3053552,0.30929077,0.31431326,0.32173657,0.33880404,0.37708697,0.44353482,0.5309136,0.615369,0.6693756,0.6743565,0.6310583,0.5556125,0.47372678,0.40784898,0.3689003,0.3537502,0.352425,0.35659328,0.36201596,0.36632982,0.36743286,0.36425245,0.35764623,0.34868646,0.33792558,0.32574987,0.3140444,0.30641258,0.30648217,0.31506965,0.32825527,0.33870897,0.34080708,0.3340719,0.32317972,0.31314838,0.3067886,0.3037757,0.30432096,0.31187847,0.33587062,0.3853695,0.46057454,0.54525286,0.6137576,0.6444265,0.6309875,0.58234733,0.5152748,0.44675875,0.38989404,0.35164145,0.3337407,0.33285913,0.3435595,0.3579422,0.36869228,0.37011686,0.36176386,0.34697294,0.3311038,0.31750405,0.30750164,0.3010145,0.298623,0.30081704,0.30693555,0.3138845,0.31777582,0.31637415,0.31081116,0.30398098,0.29783157,0.2918875,0.28505048,0.27813584,0.27521208,0.28106296,0.29692793,0.31730154,0.3322185,0.3339764,0.32274163,0.3059968,0.29254946,0.28671506,0.28756687,0.29178628,0.29776785,0.30619425,0.31784365,0.3310978,0.34144342,0.34517345,0.34108257,0.33170524,0.32048523,0.31068304,0.30382302,0.30162776,0.30832872,0.33344626,0.38464257,0.45968118,0.53944045,0.6007402,0.6287944,0.6252064,0.5979045,0.55306023,0.49484816,0.43143216,0.3788034,0.35609904,0.37771264,0.44318137,0.533272,0.61650056,0.66442627,0.6636122,0.617583,0.5399054,0.4496096,0.36641398,0.30940446,0.29234132,0.32229665,0.39376125,0.4874464,0.57296187,0.6235771,0.6268248,0.58755094,0.51938176,0.4382746,0.35985819,0.29995108,0.27364764,0.29290196,0.35981235,0.46162283,0.5687181,0.6477477,0.67465657,0.6460624,0.57412606,0.48051643,0.38695,0.3137069,0.27605888,0.28575453,0.343207,0.4360917,0.5356319,0.6135033,0.64975595,0.64261174,0.59707016,0.52407885,0.43585503,0.3519678,0.29408854,0.28381112,0.3293911,0.4214624,0.52791977,0.61176485,0.6446189,0.6221563,0.5554439,0.46514416,0.3705529,0.29088715,0.2416833,0.23640724,0.27974495,0.36401013,0.46451584,0.550064,0.596718,0.5981691,0.56208265,0.50109625,0.42922673,0.36151722,0.31486723,0.30385557,0.33552304,0.404585,0.49133053,0.56939226,0.6161379,0.6233101,0.5947682,0.5413643,0.47491255,0.40803492,0.35373867,0.3225583,0.31829992,0.33313408,0.35064292,0.3537258,0.33870697,0.31707945,0.307516,0.31699714,0.33585188,0.343971,0.33109486,0.30398813,0.2834803,0.28309402,0.29977882,0.31346062,0.3100449,0.2914245,0.27762482,0.2816769,0.30036393,0.3120365,0.303737,0.27961013,0.26249698,0.26621008,0.28738096,0.3040638,0.3022211,0.2838368,0.26897815,0.2712008,0.2889488,0.3029511,0.29941416,0.2801664,0.26519838,0.27064583,0.29681626,0.32514405,0.33802357,0.33115157,0.31749853,0.310467,0.31320968,0.31474513,0.30526695,0.2850985,0.26792392,0.26551494,0.27893817,0.2953045,0.30169797,0.29433152,0.28231183,0.2766646,0.28135082,0.2889981,0.28945664,0.27878138,0.26409993,0.25680614,0.26242116,0.2752631,0.28325042,0.2800504,0.27013743,0.2654072,0.27150664,0.2832786,0.28795597,0.2792628,0.26238978,0.2512289,0.25447068,0.2691619,0.2817841,0.28174534,0.26947764,0.25755537,0.25772962,0.27193913,0.28929648,0.2982017,0.29507706,0.28833613,0.28752622,0.2954847,0.3042617,0.30557153,0.29818693,0.29258224,0.2987864,0.31836638,0.33876395,0.34585214,0.3316584,0.29921684,0.255635,0.2084537,0.16448323,0.12954684,0.107059754,0.095860444,0.09210613,0.09188325,0.09321014,0.09549654,0.09818991,0.10063803,0.10234982,0.10340498,0.10316986,0.10015414,0.092718475,0.08211834,0.07239521,0.06851374,0.07170701,0.079379864,0.087043434,0.09227243,0.09488573,0.095856525,0.09573925,0.09465039,0.09258898,0.08975455,0.08698946,0.08566462,0.08654215,0.08825638,0.0876788,0.08306352,0.076476336,0.07302866,0.07612381,0.08472774,0.09422541,0.10064068,0.1029361,0.10260937,0.101671875,0.10131077,0.10176235,0.10269893,0.10376507,0.104707874,0.10501421,0.1033547,0.09805051,0.08896265,0.07940444,0.0747323,0.078150146,0.0865188,0.0926756,0.09122185,0.08452675,0.07989442,0.08337311,0.09284394,0.10086597,0.10077915,0.09419092,0.088532664,0.09115628,0.10125499,0.11158816,0.11405003,0.10836183,0.10115964,0.10078778,0.10846645,0.11872438,0.12439272,0.12439997,0.12314919,0.12550765,0.13069254,0.13382283,0.13123392,0.12544072,0.122624576,0.12671885,0.13524844,0.14149968,0.14093728,0.1345769,0.12840839,0.12740695,0.1323589,0.13919371,0.14340694,0.14349389,0.1418246,0.14196044,0.14521913,0.14980577,0.15237743,0.1508996,0.14594395,0.13979162,0.13485293,0.13195474,0.13086474,0.13048893,0.13044716,0.13024539,0.1294278,0.12620522,0.11930108,0.109213434,0.10039402,0.09882445,0.107991435,0.12489297,0.14158063,0.15084745,0.15106381,0.14519034,0.13593954,0.12259037,0.10425068,0.08415002,0.07056148,0.070435524,0.0837439,0.10274723,0.1183337,0.1259291,0.12738068,0.12742913,0.12996036,0.1356777,0.14276968,0.14822803,0.14986996,0.1475717,0.14349991,0.1405577,0.14028974,0.14197236,0.14350905,0.14323632,0.14070918,0.1366884,0.13244192,0.1294024,0.12835507,0.12901457,0.13001882,0.12995768,0.12820186,0.1250408,0.12129253,0.117830016,0.11552169,0.11472691,0.11528959,0.11615781,0.115760386,0.111505546,0.10088125,0.08268854,0.059605535,0.037738476,0.024704084,0.025546074,0.040463883,0.06440351,0.08960983,0.10954123,0.12161491,0.1272041,0.12902611,0.12895931,0.12756136,0.124914564,0.12149999,0.11819756,0.11600745,0.115313075,0.11577905,0.11638591,0.11586674,0.1123464,0.103466876,0.08750084,0.06556403,0.045744155,0.04335882,0.07911208,0.16148682,0.2767546,0.38436317,0.44719112,0.45191255,0.41998947,0.38133898,0.3559533,0.3446367,0.3407662,0.33791625,0.33272636,0.32180557,0.301869,0.27130434,0.23285723,0.19207263,0.156278,0.13111971,0.12024834,0.12137892,0.12809615,0.13153131,0.12829994,0.12110126,0.1171421,0.119674124,0.12605812,0.1290668,0.12517996,0.11722421,0.11311958,0.1171288,0.12783931,0.14205289,0.1647784,0.20760833,0.2746613,0.35007355,0.40372244,0.41699514,0.3956273,0.36380205,0.3397481,0.32789496,0.32233682,0.31844446,0.31444624,0.30874953,0.2975338,0.27610877,0.24281806,0.2005231,0.15636098,0.11883915,0.09501895,0.08742353,0.09189445,0.09954486,0.10177978,0.097093634,0.09099775,0.090896316,0.09777498,0.10586804,0.1082006,0.10528282,0.104274265,0.112600364,0.12845297,0.1427552,0.14581268,0.13783342,0.12710792,0.12395266,0.13005067,0.1396843,0.14504357,0.1451722,0.14444517,0.14740013,0.15246618,0.15447263,0.15027659,0.14314409,0.13965589,0.1433224,0.15119404,0.15635866,0.1548397,0.1483941,0.14329122,0.14393844,0.15006833,0.15840769,0.17040579,0.19619988,0.24880455,0.32702723,0.4086289,0.45945194,0.4619603,0.42458987,0.3761157,0.3394266,0.32355842,0.32330975,0.33085617,0.33927858,0.3442475,0.3424933,0.3311932,0.30847618,0.27808473,0.25335398,0.25599322,0.29733595,0.36437634,0.4187124,0.4300463,0.39876533,0.359659,0.34375104,0.35574737,0.3694878,0.36382535,0.3410256,0.33172584,0.35758185,0.41177213,0.4525533,0.4467521,0.39648032,0.34761223,0.34432247,0.39565465,0.4655911,0.51019293,0.51040614,0.48089644,0.44831333,0.42888582,0.42335954,0.42487633,0.4276388,0.427721,0.42122266,0.40299305,0.3693198,0.3208649,0.2647809,0.21214657,0.17365064,0.15462542,0.15277435,0.1594615,0.16423707,0.1613192,0.15254249,0.1450795,0.14440186,0.14954878,0.15443404,0.15410756,0.14985533,0.14781818,0.15309386,0.16404486,0.17356403,0.17487185,0.16813916,0.15984358,0.1574773,0.1621284,0.16855758,0.1696408,0.16422863,0.15713571,0.15527959,0.15961538,0.16527785,0.16521792,0.15846321,0.14993644,0.14705215,0.1512021,0.15803604,0.1605197,0.15751584,0.15312104,0.1537,0.15958537,0.16919513,0.18418275,0.21811883,0.28117263,0.36799955,0.44724575,0.48894358,0.48289227,0.44911018,0.41301265,0.39074886,0.38305774,0.3855383,0.39332017,0.4027903,0.41072664,0.41554558,0.41678897,0.41705468,0.42122245,0.4370563,0.46639094,0.500022,0.51806945,0.506544,0.47088364,0.43432656,0.41844156,0.42599583,0.44179282,0.4486169,0.44052485,0.42391816,0.40821016,0.3990501,0.3969058,0.40055406,0.4109435,0.431537,0.46550247,0.50499123,0.5316661,0.5235895,0.47816896,0.4119725,0.3524164,0.31365153,0.29612002,0.29140532,0.29433492,0.30238807,0.31382605,0.32548404,0.3349801,0.3413916,0.34557196,0.3480793,0.34986806,0.35124412,0.3527695,0.35423943,0.35609436,0.35908592,0.36412784,0.37089705,0.37770247,0.38227335,0.38326836,0.381407,0.37908173,0.37850246,0.38018385,0.38270548,0.38567492,0.39113727,0.40458477,0.4274157,0.45338407,0.46682358,0.45675722,0.42427656,0.384738,0.353205,0.33617178,0.32927302,0.32527053,0.3199611,0.31419787,0.31115207,0.31213263,0.31505907,0.3160337,0.3131273,0.30766183,0.30294028,0.30120286,0.30234763,0.3055499,0.31351578,0.3342689,0.3764824,0.43635094,0.4935161,0.5193819,0.50247365,0.45535228,0.4071938,0.37761697,0.37026107,0.37557784,0.38541314,0.39535567,0.40460756,0.4113158,0.41377437,0.41145304,0.40935144,0.4165187,0.4423852,0.48297286,0.5200825,0.5282821,0.50139815,0.45612398,0.4229497,0.41584024,0.42727575,0.43586984,0.4297769,0.41105828,0.39193955,0.38077164,0.37877333,0.38063976,0.3833351,0.3896321,0.4088734,0.44458112,0.4877297,0.5151489,0.51009256,0.47333372,0.42612562,0.39014482,0.37598822,0.3789209,0.38896534,0.39817706,0.40461445,0.4099556,0.41639647,0.4244641,0.43342236,0.44219866,0.44981495,0.45547855,0.45875183,0.4599837,0.45982924,0.45920983,0.45901027,0.4602758,0.46304512,0.4661163,0.4674513,0.46619272,0.4630015,0.4593977,0.45634732,0.45412394,0.45342338,0.4554633,0.4623562,0.4740574,0.48839507,0.49958047,0.5030866,0.49680364,0.48393038,0.4696637,0.45933962,0.45518515,0.4558513,0.45788094,0.45835862,0.45721766,0.45603874,0.45579514,0.45545363,0.4536922,0.45073065,0.44825855,0.447217,0.44709754,0.4460021,0.44428277,0.44501054,0.45585072,0.47868648,0.505816,0.51614994,0.4960123,0.44855428,0.3976086,0.3646475,0.35706618,0.36572942,0.37844828,0.38819525,0.39274013,0.3901638,0.37551832,0.34475312,0.3013703,0.26122668,0.24971628,0.28310934,0.35218903,0.41681275,0.43666354,0.40169945,0.34640718,0.31607386,0.33125916,0.36933827,0.3920422,0.37581196,0.33011413,0.28028703,0.24713589,0.23227169,0.22651349,0.22315179,0.23018813,0.26373208,0.3304522,0.4117441,0.47215328,0.486371,0.45813787,0.4139531,0.3788471,0.36306572,0.36324692,0.3726915,0.38494292,0.39415422,0.3931817,0.3754944,0.33820358,0.28632507,0.23238073,0.1916223,0.17373075,0.17743404,0.19091898,0.19968198,0.19598329,0.18411963,0.17481948,0.17564547,0.18348421,0.18929987,0.18639328,0.17799549,0.17238419,0.17582671,0.18473302,0.19286178,0.19904542,0.21645616,0.25736642,0.32030806,0.37820873,0.40255323,0.38191655,0.33484337,0.28727257,0.25572684,0.23776793,0.22469504,0.2114305,0.20113657,0.19860315,0.20416063,0.21153705,0.21351327,0.20752122,0.19740969,0.18893135,0.18524104,0.18506885,0.1870827,0.19569056,0.2240252,0.2846618,0.373379,0.4627687,0.5163682,0.51760936,0.47875786,0.4309363,0.39693114,0.38461176,0.38768175,0.39828363,0.40830824,0.41248727,0.40566206,0.3845304,0.34790382,0.30393407,0.27177736,0.27656636,0.325457,0.39660716,0.44510457,0.4436485,0.4010681,0.35872206,0.34626254,0.36255836,0.37692904,0.36453936,0.32204184,0.26860797,0.22403121,0.19779742,0.18629938,0.18528084,0.1978634,0.2377377,0.3124029,0.41047025,0.4971582,0.5414408,0.5360171,0.50374067,0.47243667,0.457677,0.4569128,0.4621222,0.46609202,0.46523145,0.4555333,0.43332696,0.395846,0.34473848,0.28627202,0.23139346,0.19109172,0.17272371,0.17482567,0.18932982,0.20554684,0.21807878,0.2271145,0.23618083,0.24561632,0.25290456,0.25417897,0.24955188,0.24231069,0.23764919,0.23732607,0.23898165,0.23674512,0.22721088,0.21212156,0.19886066,0.19410281,0.19954169,0.21002233,0.21793328,0.2173755,0.20693453,0.18923068,0.16927803,0.1524475,0.14272426,0.14181215,0.14885809,0.16089022,0.17376532,0.1839356,0.18974166,0.19154139,0.19061005,0.18820496,0.18547888,0.18438216,0.18807411,0.20064114,0.22359324,0.25391594,0.2832333,0.30374953,0.31185624,0.31050512,0.3047619,0.2990553,0.29511586,0.2930933,0.2925197,0.29289126,0.29385182,0.29463392,0.2943305,0.29225966,0.28888342,0.28537956,0.28258118,0.27984312,0.2750845,0.26657185,0.25444588,0.24202819,0.23270024,0.22737044,0.22136682,0.20935178,0.18937378,0.16746455,0.15255289,0.15250075,0.16855289,0.19761091,0.23222692,0.26486328,0.28788748,0.29806808,0.29594588,0.286703,0.27494064,0.26314104,0.24977826,0.23356082,0.21455424,0.195543,0.17867579,0.16557893,0.15739544,0.15621246,0.16287686,0.17478357,0.18613227,0.19203061,0.1919108,0.18918116,0.18744914,0.1881706,0.19056882,0.19366874,0.19702615,0.2008584,0.20529807,0.21015573,0.21513407,0.21997188,0.22521408,0.23147728,0.23899357,0.24616452,0.2503267,0.24916534,0.24214353,0.23076773,0.21739645,0.20505643,0.19605182,0.19184977,0.1913896,0.19251503,0.19249058,0.19068396,0.1876787,0.18530129,0.18404438,0.18307073,0.17946309,0.17070246,0.15679193,0.1420183,0.13265787,0.13239662,0.13963069,0.14839844,0.15325952,0.15315695,0.15269786,0.15935723,0.17719294,0.20376931,0.2300634,0.24806352,0.2542818,0.25165972,0.24462749,0.23671548,0.22947307,0.22391589,0.22187178,0.22505899,0.23421131,0.24705084,0.2596991,0.26819193,0.27169192,0.27171487,0.2707727,0.26943624,0.26676372,0.26133338,0.25308192,0.24386422,0.23699336,0.23536372,0.23882885,0.24367583,0.24560247,0.24326903,0.2390976,0.23585123,0.23409377,0.23182566,0.22745596,0.2214485,0.21658869,0.21557905,0.2193871,0.22706854,0.23754235,0.25060853,0.26583305,0.2804034,0.2887158,0.28496066,0.2671424,0.23931098,0.21001697,0.18774025,0.1763257,0.17388119,0.1753738,0.1766467,0.17636752,0.17529576,0.17440224,0.1738037,0.17285246,0.17091157,0.16806279,0.16561566,0.16562255,0.17005318,0.17973416,0.19415732,0.21123655,0.22746496,0.23854744,0.2415855,0.23715107,0.22968192,0.22417112,0.22243363,0.22111766,0.21506846,0.20157492,0.18340708,0.16716214,0.16027825,0.16738836,0.18803711,0.21542858,0.23948105,0.251887,0.25151554,0.243385,0.23444487,0.22821133,0.22384512,0.21860474,0.21057636,0.20052242,0.1899888,0.18093063,0.17473231,0.17409636,0.1815917,0.19754475,0.21759675,0.23461424,0.24326031,0.2428372,0.23655345,0.22795272,0.2192988,0.21168719,0.2062334,0.20397092,0.20470898,0.20672588,0.20745556,0.20622957,0.20500208,0.20808244,0.21808285,0.23376508,0.24884826,0.2561568,0.25147715,0.23653507,0.21679418,0.1981226,0.18376489,0.17435817,0.16880673,0.16589898,0.16477798,0.16572165,0.16914187,0.17536436,0.18345933,0.19246139,0.20066786,0.20611049,0.2057879,0.1989742,0.18903585,0.18323886,0.18739949,0.20156105,0.22027723,0.23666547,0.24700136,0.2510185,0.25079176,0.24821346,0.24492204,0.24214137,0.24110043,0.24216418,0.24429516,0.24526377,0.24294035,0.23726332,0.23040973,0.2259986,0.22620018,0.23125736,0.2390451,0.24691246,0.25186923,0.25226352,0.24783455,0.2395431,0.22780098,0.21258736,0.1951489,0.1794676,0.17126535,0.17429513,0.18737109,0.2035976,0.21402584,0.21310033,0.2021185,0.1877323,0.17643471,0.17117149,0.17090578,0.17338061,0.17622294,0.17786284,0.17752366,0.17592289,0.17455804,0.17450505,0.17533271,0.17592567,0.17615394,0.17738426,0.18111318,0.1870092,0.19316159,0.19778822,0.20079766,0.20304792,0.20511705,0.20667946,0.20788884,0.20931107,0.21147741,0.21269701,0.21042532,0.2030497,0.19221039,0.18121928,0.17251779,0.16585511,0.15940253,0.15227915,0.1461807,0.14461392,0.15007053,0.16193162,0.17618902,0.18775739,0.19273138,0.18961805,0.17864059,0.16068824,0.13771509,0.11456385,0.09890556,0.09809608,0.112941466,0.13687615,0.1593477,0.17409907,0.18087046,0.18361263,0.18503822,0.18617648,0.1872081,0.18903887,0.1923651,0.19732355,0.20368022,0.2109738,0.2178145,0.22139643,0.22004913,0.21554911,0.21356647,0.21788086,0.22692333,0.23395497,0.2348118,0.23122092,0.2297516,0.23462795,0.24443972,0.25280973,0.2532302,0.2437002,0.22760876,0.21095316,0.1970228,0.1847194,0.17154394,0.15766543,0.14733891,0.14408362,0.14777172,0.15378423,0.15912795,0.16547501,0.17857526,0.20056868,0.22586004,0.2426645,0.24270046,0.22694634,0.20649336,0.19491614,0.20175733,0.22789307,0.2658073,0.30401102,0.33151028,0.34340873,0.34053206,0.32878873,0.31386063,0.29930052,0.28492317,0.26956183,0.2528912,0.23716547,0.22831686,0.23607771,0.27180418,0.3368458,0.41670695,0.48199353,0.5110314,0.5011939,0.47146842,0.4423244,0.42620292,0.42317262,0.4289439,0.43805242,0.44710305,0.45420894,0.45917177,0.46203867,0.46436048,0.4702603,0.48657814,0.5145752,0.54529744,0.55963165,0.5466387,0.5114927,0.47663307,0.45922598,0.46190095,0.47030988,0.47073182,0.45888865,0.44220838,0.4300463,0.42680958,0.43026638,0.43705556,0.44718528,0.46641204,0.49798194,0.53621215,0.5632164,0.563018,0.53426945,0.4927599,0.45745656,0.43581912,0.42319563,0.41082773,0.395805,0.38115895,0.3726002,0.37302577,0.38097313,0.39146486,0.39955294,0.40267774,0.40145504,0.39755273,0.39176643,0.38321733,0.37156132,0.35960373,0.35285875,0.35567498,0.36723197,0.3821067,0.3942164,0.40008822,0.39967668,0.3945025,0.38709378,0.37984252,0.37674662,0.3819163,0.39882573,0.42416754,0.4490209,0.46127164,0.45656192,0.4390597,0.41927657,0.40373504,0.3933148,0.38496414,0.37703025,0.37024972,0.36638618,0.36722496,0.3732703,0.38325194,0.39339566,0.4004468,0.40391377,0.4067377,0.41131926,0.4175142,0.4233435,0.43006817,0.4442047,0.47240195,0.5108641,0.5418268,0.54520625,0.5168504,0.47267345,0.43567935,0.41782317,0.41754258,0.42682365,0.4401599,0.45471087,0.4686445,0.47985756,0.486704,0.48933026,0.4913089,0.49917817,0.5176433,0.5406205,0.5521398,0.5365009,0.49611375,0.45025098,0.42189327,0.41786584,0.42821503,0.43681014,0.4353102,0.42620635,0.41706848,0.41343343,0.41504145,0.41867995,0.4221524,0.4284567,0.44361496,0.4699347,0.49983466,0.5176262,0.5121416,0.48491928,0.44997704,0.42086062,0.40377727,0.39636055,0.39451852,0.39556924,0.3994361,0.4065398,0.4168184,0.42856583,0.4393814,0.44657138,0.44941428,0.44891438,0.44826135,0.44942406,0.45248857,0.4549928,0.45544782,0.4542762,0.45348883,0.45407236,0.45544696,0.45648226,0.4569887,0.45744362,0.45811474,0.4581304,0.45709327,0.45604327,0.45873395,0.46730396,0.48030278,0.4903398,0.49151668,0.4825563,0.46980003,0.45982194,0.45607314,0.45653418,0.45787087,0.45811418,0.45766762,0.4576279,0.4580398,0.45778835,0.45581093,0.45224237,0.44845533,0.44580197,0.44469157,0.44454548,0.44530067,0.44920877,0.46047375,0.48258194,0.5117299,0.536413,0.5412948,0.5206204,0.48167753,0.44215015,0.41593626,0.4071289,0.4094682,0.41454622,0.41660592,0.41403517,0.40567145,0.38921717,0.36188078,0.32646546,0.29437515,0.285386,0.31093177,0.36208794,0.4045054,0.40843025,0.36980638,0.31991494,0.29109296,0.2948819,0.3121215,0.32007882,0.30866966,0.28845003,0.2743117,0.27487755,0.28604627,0.29970607,0.3125489,0.33277175,0.37051594,0.42462113,0.4743924,0.49510792,0.4780158,0.43870196,0.40258762,0.3854876,0.38727745,0.39781556,0.40820968,0.4149542,0.41848293,0.41799834,0.40876094,0.3860484,0.35049593,0.3107865,0.2783116,0.26077095,0.25820974,0.26524687,0.2747842,0.28136656,0.28136262,0.27239656,0.25311586,0.22495991,0.1941929,0.17108138,0.16469568,0.17674267,0.1996244,0.2223817,0.23934917,0.25448418,0.27685866,0.30872223,0.34034538,0.3532616,0.33747402,0.29832277,0.25462213,0.22186977,0.20507981,0.199308,0.19897133,0.2017323,0.20811568,0.2176472,0.22783172,0.23466808,0.23584948,0.23160298,0.22465192,0.21720265,0.21027963,0.2035743,0.19789773,0.19513662,0.1983924,0.2090305,0.22570394,0.24313165,0.25532103,0.25823477,0.25218773,0.24010731,0.22564512,0.21170497,0.20071726,0.19457163,0.19428372,0.19945095,0.2081052,0.21718633,0.2236635,0.22628878,0.22604676,0.22490816,0.22286898,0.21684842,0.20293331,0.18167712,0.16050135,0.15036076,0.15704256,0.17637688,0.19657391,0.20734382,0.20608072,0.19745459,0.18758051,0.17915569,0.17188896,0.16584809,0.1634295,0.16735011,0.17691457,0.1881993,0.19654743,0.20073877,0.2021296,0.2030891,0.2040994,0.20450841,0.20345265,0.20152766,0.20067632,0.20349883,0.21157117,0.22430165,0.2386805,0.25088122,0.25835565,0.261345,0.26230016,0.26399362,0.26764384,0.27270707,0.2780607,0.28324023,0.28822875,0.29233408,0.29366276,0.29025078,0.281712,0.2696366,0.2561991,0.242742,0.22974811,0.21828575,0.21062295,0.2094742,0.21596639,0.22863466,0.24370873,0.2568964,0.264763,0.2655833,0.2592743,0.24784817,0.2348361,0.22407548,0.2170163,0.21263343,0.2086296,0.20446734,0.20099322,0.19962983,0.20033126,0.20239668,0.20471834,0.20632334,0.20569527,0.20130157,0.19278537,0.18218441,0.17338677,0.17013751,0.17375022,0.18236803,0.19201119,0.19901341,0.20209932,0.20273428,0.20326127,0.20456626,0.20548297,0.20466095,0.20262337,0.20203869,0.2047404,0.20907982,0.20938624,0.2009151,0.18479747,0.16903462,0.16239248,0.16716878,0.178226,0.18791945,0.19279265,0.19438107,0.19645081,0.20072661,0.20584339,0.20887363,0.2082225,0.20549937,0.20380117,0.20464747,0.20492055,0.19993418,0.18798035,0.17413886,0.16627282,0.16845764,0.17764662,0.18708356,0.19259362,0.19444214,0.19498368,0.19537276,0.19542973,0.19524902,0.19606085,0.19887078,0.20336787,0.20689,0.20623206,0.19883157,0.18649983,0.17498142,0.17201866,0.17971535,0.19252361,0.19981526,0.19626844,0.18598934,0.1796243,0.1832103,0.19287986,0.19802798,0.19202518,0.17802775,0.16578098,0.16208436,0.1645549,0.16484357,0.15693848,0.14387362,0.13400672,0.13333373,0.13920633,0.1445216,0.14511757,0.14390093,0.14683603,0.1559476,0.16778032,0.1768836,0.18164115,0.18446334,0.1884904,0.19426106,0.20008127,0.20533182,0.21070258,0.21687578,0.22172551,0.22232991,0.21754272,0.21234429,0.21783288,0.24925919,0.31348905,0.39925233,0.47505796,0.5112693,0.5004458,0.46338606,0.4284612,0.41232672,0.41392982,0.4239045,0.43295503,0.4347359,0.42460164,0.39963183,0.35954365,0.30991027,0.26476142,0.24574204,0.27036104,0.33410323,0.40451694,0.43956855,0.4225593,0.3752472,0.33938566,0.3379986,0.36032307,0.3765513,0.37048993,0.35357472,0.35382578,0.38385954,0.42755547,0.44869137,0.4299477,0.38661984,0.3597099,0.3722929,0.4154335,0.45288607,0.4603081,0.43704703,0.4041846,0.37859404,0.36665082,0.36399552,0.36584416,0.36815858,0.3685323,0.36461762,0.35475144,0.3366712,0.30896524,0.27211004,0.23306273,0.20148848,0.18595158,0.18446307,0.18884449,0.18906695,0.18453006,0.17973901,0.18140711,0.18793653,0.19425978,0.1936723,0.18773271,0.18135162,0.18124677,0.18638158,0.19220328,0.19239527,0.18803693,0.1839208,0.18622746,0.19366796,0.20105211,0.2022282,0.19903742,0.19757718,0.20470321,0.21865548,0.2327,0.23906808,0.2381004,0.23569179,0.2390539,0.24854547,0.2584174,0.26140836,0.25625813,0.24838497,0.24495597,0.24777623,0.25202575,0.2514891,0.24528535,0.24002467,0.24395657,0.2601216,0.28236333,0.3009983,0.30920702,0.30759633,0.30099285,0.29453075,0.29081485,0.29033384,0.2917576,0.29341003,0.29341778,0.29196692,0.2896676,0.28798136,0.28685132,0.28633627,0.28625032,0.28715596,0.28923583,0.2922221,0.29519686,0.29779515,0.30068922,0.30573818,0.31443512,0.32628343,0.3389167,0.34879437,0.354591,0.35656837,0.35769877,0.35984454,0.36392474,0.3679545,0.36864328,0.36371446,0.35280702,0.33866882,0.32270405,0.3067023,0.29221678,0.2837547,0.28443316,0.2928872,0.30247763,0.3063031,0.30277014,0.29684103,0.295413,0.30197096,0.3124019,0.3198955,0.3193841,0.3140743,0.31065714,0.31538057,0.32735908,0.34149823,0.35192272,0.3570664,0.3592162,0.36128703,0.36399785,0.36488053,0.36233446,0.35644457,0.35047352,0.34602907,0.34348604,0.34032473,0.3346205,0.32386842,0.30568337,0.2777668,0.24049027,0.1992504,0.16201621,0.13564317,0.1210711,0.115268074,0.11362082,0.11345445,0.11345625,0.11322892,0.112488545,0.11114516,0.10943819,0.107519805,0.10564531,0.103405185,0.10017833,0.09443376,0.08521933,0.07242542,0.058258712,0.0455794,0.036828145,0.032196146,0.030500764,0.030107269,0.030036166,0.029935881,0.029727012,0.02941484,0.028904537,0.028216464,0.027387163,0.026598195,0.025947822,0.025518477,0.025273487,0.025189672]