[0.006464388,0.00808917,0.0117441565,0.01656182,0.021598592,0.02613303,0.02988623,0.03285855,0.035190612,0.036942642,0.038213983,0.03918394,0.04021817,0.041720998,0.044045378,0.047328785,0.051229,0.054660935,0.056022793,0.054814707,0.05352858,0.05788691,0.073666014,0.101980396,0.13745186,0.17096198,0.19582486,0.210683,0.21835035,0.22128169,0.22059016,0.21751331,0.21503192,0.21574523,0.21915485,0.22210568,0.22197282,0.21917175,0.21613507,0.21429636,0.21204202,0.20532067,0.19132286,0.1720521,0.15438055,0.14693491,0.15433425,0.17634772,0.20677002,0.23822115,0.26310965,0.27849448,0.28475288,0.2852569,0.2818208,0.27405703,0.2598031,0.23944621,0.21678889,0.19800441,0.18605584,0.18026423,0.17756696,0.17660098,0.1765592,0.17502473,0.16717638,0.14915411,0.122836106,0.09697237,0.083608925,0.09122652,0.12017358,0.162547,0.20658237,0.2414536,0.26110756,0.2653197,0.2590333,0.24884932,0.23928481,0.2300601,0.21903785,0.20608735,0.19651246,0.19581454,0.2052474,0.21864708,0.22887939,0.23201801,0.22964124,0.22472829,0.21965814,0.21524821,0.21180467,0.20909123,0.20622687,0.20187557,0.19506378,0.18594027,0.1757387,0.16570465,0.15620247,0.14666475,0.13681996,0.12717609,0.118659146,0.11161261,0.105715625,0.10056672,0.09603556,0.09217545,0.0888159,0.08571175,0.08269816,0.07995969,0.07782188,0.07657573,0.07622995,0.076571025,0.07739181,0.078693084,0.08082107,0.08416464,0.088888235,0.094463795,0.09990447,0.10412624,0.10667404,0.107634984,0.10749511,0.1066402,0.105463885,0.10416653,0.10278704,0.100999,0.098501824,0.095415674,0.092620105,0.09147,0.09284685,0.09653144,0.10096457,0.104439855,0.105723925,0.10445208,0.10039962,0.09337523,0.083646394,0.072511934,0.062340885,0.055577587,0.053339902,0.054564968,0.05649152,0.05680446,0.05540218,0.05471444,0.05792128,0.06653843,0.07925406,0.09268409,0.10428091,0.11435086,0.12553538,0.13954298,0.15497877,0.16900356,0.18065333,0.19247913,0.2075692,0.22666971,0.24650083,0.26197866,0.26835117,0.26406816,0.25231427,0.23938638,0.23102157,0.22760922,0.22629704,0.22407432,0.22135746,0.21866119,0.21435685,0.20506813,0.18981577,0.17232735,0.15867577,0.15388663,0.15930109,0.17328,0.1917829,0.20988803,0.22271238,0.2268088,0.2205357,0.2048161,0.18367921,0.16374701,0.15120083,0.14870495,0.15516897,0.1680872,0.18486708,0.20225716,0.21606684,0.22363274,0.22534895,0.22416389,0.2222208,0.2200253,0.21667139,0.21158451,0.20453043,0.19614013,0.18779647,0.1817342,0.1797493,0.18206696,0.18684012,0.19124037,0.19314401,0.19238986,0.19058715,0.18991208,0.19142868,0.19483821,0.19861305,0.20127316,0.20144475,0.19877912,0.19360475,0.18671016,0.17825808,0.16835366,0.15813714,0.1504999,0.14819026,0.1530733,0.16444446,0.18054502,0.19677275,0.20892014,0.21363509,0.21201569,0.20694631,0.20203413,0.19886799,0.19769341,0.19764711,0.1978882,0.19791806,0.19781345,0.1974936,0.19620717,0.19276114,0.18702684,0.18113953,0.1782056,0.18018311,0.18599099,0.19363908,0.20167328,0.2100703,0.21770476,0.22211011,0.22084971,0.2142756,0.20516555,0.1962173,0.18803483,0.1794646,0.1693911,0.1569364,0.14265178,0.12895556,0.12182414,0.1261276,0.14211805,0.16213994,0.17776394,0.18466909,0.18635058,0.18788107,0.19226213,0.19775705,0.2016456,0.20218492,0.20032082,0.19775778,0.1957974,0.19424176,0.19256516,0.19110642,0.19114508,0.19378214,0.19850236,0.20396036,0.20883638,0.21263026,0.2145962,0.21364291,0.20887087,0.20078187,0.19091016,0.18074024,0.1704895,0.15984114,0.14874612,0.1383397,0.12953292,0.12239457,0.11574421,0.10886258,0.10199366,0.09621468,0.09211043,0.08959591,0.088490464,0.089311235,0.092883416,0.099012375,0.10567743,0.1098631,0.10973039,0.10593197,0.10103399,0.097490735,0.09625894,0.09679357,0.09812004,0.09961576,0.10122847,0.102953695,0.10453046,0.10525868,0.10458661,0.10240767,0.09929848,0.09611312,0.09379666,0.093167864,0.09462728,0.09776317,0.101172686,0.10311567,0.10248115,0.0995409,0.09567111,0.092501245,0.09107626,0.09170503,0.094058126,0.09737801,0.10065958,0.10329471,0.105684906,0.109327555,0.11570611,0.12484685,0.13447739,0.14140213,0.143794,0.14340617,0.14408185,0.14929308,0.15888953,0.17074461,0.18246698,0.19396152,0.20507997,0.21394987,0.2164519,0.21007971,0.1975526,0.18635778,0.18431215,0.19402279,0.21207084,0.23122145,0.24527086,0.2515761,0.25153556,0.24769837,0.24118263,0.23119068,0.21753561,0.20239623,0.18987767,0.18346553,0.18427046,0.1905974,0.1986879,0.20465605,0.20651616,0.2052927,0.20351951,0.20248084,0.2006362,0.19534741,0.18609981,0.1769287,0.17339504,0.17876397,0.18993805,0.20092954,0.20645428,0.20623948,0.20282353,0.1991614,0.19619794,0.1935745,0.19114245,0.18969755,0.19140841,0.19832951,0.21113856,0.22702308,0.24108772,0.2488118,0.24925494,0.2439127,0.2346944,0.22195436,0.20645903,0.19082008,0.17986815,0.17724502,0.18300433,0.19311905,0.20274602,0.20907241,0.21210082,0.21314901,0.21347804,0.21387248,0.21434456,0.2137637,0.21038084,0.20329376,0.19357081,0.1837684,0.17632659,0.1727978,0.17347006,0.17822027,0.18611656,0.19563393,0.20412324,0.20938794,0.21117008,0.21212125,0.21533155,0.22172618,0.22890817,0.23399426,0.23568022,0.23468381,0.2316707,0.22673614,0.2204568,0.21476972,0.21192145,0.21240397,0.21505827,0.21913119,0.22555667,0.2355271,0.24812448,0.26058248,0.27002683,0.27454606,0.27210602,0.26114717,0.24249025,0.22115408,0.20373364,0.19510233,0.19589819,0.20391071,0.21536876,0.22685516,0.23576468,0.24103247,0.24247463,0.24060535,0.23631041,0.23109902,0.22632854,0.2226124,0.2193986,0.21575463,0.21095699,0.20505619,0.19896919,0.19432688,0.19270164,0.1944393,0.19846392,0.20310698,0.20747483,0.21148586,0.21530671,0.21877198,0.2216901,0.22381735,0.22405963,0.21994364,0.20850188,0.18897186,0.16414155,0.13931386,0.11900165,0.1049571,0.09645931,0.09192115,0.08999314,0.08960947,0.090122156,0.091487855,0.094383895,0.09932467,0.105618246,0.11117545,0.11378843,0.11273054,0.109129705,0.10505506,0.10216931,0.10119403,0.1017651,0.10288721,0.103426255,0.10295749,0.10195005,0.101236254,0.10115103,0.10115483,0.10053588,0.09907644,0.09735066,0.09599341,0.09524744,0.095024,0.09536079,0.09633461,0.09740337,0.097299606,0.09476206,0.08980253,0.08385164,0.07905751,0.07675625,0.07701541,0.07872035,0.08104053,0.08391557,0.08864584,0.096756496,0.10995052,0.12871313,0.15224928,0.17736399,0.19998193,0.2163117,0.22515364,0.2276733,0.22737046,0.22813903,0.23313893,0.24198167,0.25090668,0.25380743,0.24721342,0.23199153,0.21401651,0.19955665,0.1928308,0.19361646,0.19940571,0.20707564,0.21511339,0.22333342,0.23188865,0.24034256,0.24711396,0.25053215,0.24927835,0.24428983,0.23827977,0.23529224,0.23784162,0.24635403,0.25859013,0.2711977,0.27986518,0.28107008,0.2725384,0.2545653,0.22933578,0.20141965,0.17700963,0.16262673,0.16164653,0.17233197,0.1885795,0.20333607,0.21134597,0.21059187,0.20218338,0.18980674,0.17749566,0.16789766,0.16139767,0.15794553,0.15776819,0.16129047,0.16730845,0.17372239,0.17875947,0.18284653,0.18724914,0.19281577,0.19836105,0.20200075,0.20202799,0.19869186,0.19364892,0.1894807,0.18779553,0.18865424,0.19052528,0.19137044,0.18973647,0.18508546,0.17794967,0.169681,0.16294752,0.16097598,0.16594653,0.17675577,0.18920416,0.1980244,0.20023465,0.19621938,0.19016959,0.18659543,0.1883543,0.19342001,0.1980877,0.19896458,0.19611911,0.19041061,0.1815588,0.1677347,0.14868386,0.128935,0.11623177,0.1168439,0.1304102,0.15036444,0.1686945,0.18106578,0.18824239,0.1930746,0.19738065,0.20065677,0.20180868,0.20060591,0.19804887,0.19525002,0.19300579,0.19196302,0.19288464,0.19608392,0.20081466,0.20565097,0.20941643,0.21191633,0.21353869,0.21478607,0.21541631,0.21418373,0.20843379,0.19609685,0.17768925,0.15804093,0.1432214,0.13696142,0.13782354,0.14124447,0.14253859,0.13992427,0.13536245,0.13378513,0.14004204,0.15550423,0.17632748,0.19617659,0.20957895,0.2152522,0.21487309,0.2123577,0.21093006,0.2122773,0.2149554,0.2161005,0.21469788,0.21328147,0.21556978,0.22030085,0.22041796,0.20876664,0.1862366,0.16211991,0.14508997,0.13613798,0.12925509,0.12098143,0.114429094,0.11690062,0.13222913,0.15725178,0.18357122,0.20208317,0.20846276,0.20438363,0.19642735,0.1910754,0.19191386,0.1985697,0.20835216,0.2178518,0.22410274,0.22544628,0.22211392,0.21617448,0.21068867,0.20733951,0.20530193,0.20039308,0.18852317,0.16776103,0.1419148,0.11844792,0.10682469,0.11203483,0.13233958,0.15833949,0.1800112,0.19185953,0.19584309,0.19685571,0.19866627,0.2015484,0.20381077,0.2037474,0.20102279,0.1966799,0.19234125,0.18930452,0.1879683,0.18800585,0.18824704,0.18827184,0.18836795,0.1906622,0.19589187,0.20362896,0.21110915,0.21678245,0.2200702,0.22168253,0.22123282,0.21724974,0.20871742,0.19734299,0.18808216,0.18543409,0.19016068,0.19817239,0.20468761,0.20733489,0.20727134,0.20646702,0.20599788,0.20565271,0.20516028,0.20478894,0.20475797,0.20480795,0.20419891,0.20285803,0.2012341,0.2000137,0.19918777,0.19844884,0.19730568,0.19533889,0.19209635,0.1874324,0.18199724,0.17731486,0.17520207,0.17672656,0.1814394,0.18767233,0.19357853,0.19798815,0.20012794,0.19869255,0.19198823,0.17921688,0.1620398,0.14409047,0.12905608,0.11852273,0.11167767,0.10652443,0.10167285,0.097316,0.09477415,0.095186494,0.09824125,0.10239354,0.10595143,0.10815119,0.109142356,0.10933614,0.109128654,0.108742,0.108381785,0.10798082,0.107469045,0.10687113,0.10628462,0.10551191,0.10406754,0.102024704,0.10044784,0.10096959,0.10405842,0.10848907,0.11192135,0.112726115,0.1104781,0.105933644,0.10024469,0.09494338,0.09140712,0.09069807,0.093064226,0.09813701,0.104839064,0.11171609,0.11760622,0.12260292,0.12843391,0.13694532,0.14851011,0.1608905,0.17113751,0.17728484,0.17985515,0.18085904,0.18249325,0.18589948,0.19038843,0.19412847,0.19515406,0.19322729,0.18974842,0.18653236,0.18408096,0.18171066,0.17890753,0.17684482,0.17744072,0.18210012,0.18951525,0.19679238,0.20044905,0.19936419,0.19472122,0.18958509,0.18634973,0.18609814,0.1886273,0.19369878,0.20099199,0.20993984,0.21926583,0.22817393,0.23701434,0.24811308,0.2628948,0.279423,0.29119012,0.29234302,0.28300217,0.26998964,0.26112723,0.25927362,0.26227084,0.2664454,0.27001202,0.2727848,0.27462342,0.27482215,0.2725885,0.2684681,0.2637725,0.25981832,0.2557913,0.24930595,0.23800121,0.2225539,0.20718281,0.19764543,0.19827922,0.20954949,0.22817934,0.24767196,0.26166847,0.2660824,0.26160628,0.25189123,0.24193196,0.23492114,0.23179452,0.23099335,0.2305236,0.22976278,0.23017019,0.23390162,0.24107714,0.24943161,0.25535,0.2571218,0.25498852,0.2509322,0.24606095,0.24142171,0.2376535,0.23609589,0.2371396,0.240142,0.24377711,0.24714963,0.25049362,0.2539136,0.25725392,0.25921157,0.25890103,0.2560254,0.25198403,0.24832268,0.24626364,0.24516048,0.24414253,0.24223413,0.24016221,0.23872578,0.23921321,0.24198379,0.24713354,0.2533127,0.25796998,0.2580123,0.25213394,0.24153511,0.22941966,0.2184361,0.21032707,0.20546286,0.20424968,0.20674707,0.21251665,0.22012138,0.22710468,0.23165034,0.23310266,0.23278625,0.23231833,0.2331164,0.23566265,0.23983149,0.24475648,0.24857856,0.24928208,0.2455693,0.23853827,0.23215808,0.23394181,0.2525966,0.2912588,0.34028664,0.37863967,0.38841972,0.36911416,0.33730188,0.31103262,0.29660046,0.28928623,0.28318834,0.27722242,0.27339554,0.27252087,0.27285454,0.27191487,0.26847816,0.26373866,0.26039407,0.26128802,0.26739442,0.27708086,0.28688827,0.29338506,0.2952174,0.29297033,0.28846562,0.28296545,0.27711663,0.27098227,0.26495698,0.26016024,0.25821456,0.26059118,0.2670344,0.27570054,0.28343335,0.28864133,0.2914713,0.29441345,0.29877004,0.30445936,0.30884793,0.31022426,0.30799246,0.30375007,0.29859522,0.29297864,0.2863382,0.2788495,0.27167037,0.26641023,0.26396406,0.26376274,0.26476416,0.26596013,0.26739645,0.26893565,0.2703887,0.2707378,0.26949742,0.26662108,0.262944,0.25906542,0.2547857,0.24906428,0.24077226,0.2301697,0.21867047,0.20873868,0.2019058,0.1987922,0.19821934,0.19871078,0.19874902,0.19811289,0.1971424,0.19640636,0.19549967,0.19375898,0.1911955,0.1904632,0.1955655,0.20935631,0.2290364,0.24687915,0.25419295,0.24825211,0.23445441,0.22279654,0.22112183,0.22999905,0.24382944,0.25535816,0.2610673,0.2619107,0.26101315,0.26005483,0.26039937,0.2655232,0.28341654,0.319083,0.36719862,0.40879607,0.42485106,0.4095731,0.37534574,0.34022233,0.31591275,0.30314818,0.2974324,0.2938242,0.28989944,0.28506115,0.2804167,0.27676073,0.27411595,0.2715797,0.2687863,0.26592138,0.26324964,0.2606825,0.25797975,0.25648946,0.25978765,0.27426395,0.30273557,0.33979467,0.3694167,0.3770347,0.35916975,0.3273398,0.2963057,0.27494204,0.2624972,0.25439113,0.24605727,0.23567426,0.22319554,0.21024193,0.19786012,0.1860208,0.17432947,0.1643104,0.15992881,0.1636496,0.17387901,0.18442987,0.190704,0.19214243,0.19266076,0.194422,0.19540282,0.18894804,0.17021282,0.14067654,0.11072113,0.09301963,0.09510388,0.11340565,0.13742556,0.15665697,0.16668028,0.16846706,0.1653287,0.16055967,0.15734537,0.15881962,0.16688357,0.18026008,0.1947533,0.20545389,0.21067898,0.21364428,0.22116995,0.24017467,0.27128217,0.30733088,0.33418193,0.3420544,0.33046773,0.3096747,0.28947842,0.27355674,0.25842658,0.24064304,0.22071166,0.20290427,0.19096296,0.18538038,0.18329883,0.1812234,0.17740476,0.17254978,0.16838618,0.16563664,0.16347642,0.1604286,0.1579753,0.16306765,0.18759613,0.23838107,0.30674818,0.36745977,0.39541888,0.38468465,0.3515357,0.31899235,0.2991804,0.29031232,0.2851154,0.27936763,0.27354893,0.26995742,0.2704186,0.27496597,0.28188977,0.28840452,0.292032,0.2916778,0.28735834,0.27996823,0.27112877,0.26474515,0.26650587,0.2824907,0.31240258,0.3476036,0.37159595,0.37296656,0.351053,0.31856707,0.28836945,0.26720786,0.25142905,0.235054,0.21443136,0.1924534,0.17508729,0.16750683,0.16982128,0.1779511,0.18734382,0.19657606,0.20725083,0.21993291,0.23212434,0.23953056,0.24074256,0.23837711,0.23651636,0.23641463,0.23499358,0.22781329,0.21262473,0.19194949,0.17078215,0.15389599,0.14298846,0.13730653,0.13475436,0.13373677,0.13318038,0.13172938,0.1266049,0.11541744,0.09922204,0.08399585,0.07662605,0.07977817,0.08970025,0.099603005,0.10394936,0.1032585,0.10514015,0.12399379,0.16911618,0.23738766,0.3077071,0.35848072,0.37705895,0.3684673,0.34247687,0.30948278,0.275126,0.24441208,0.22030647,0.20399106,0.19432198,0.18938299,0.18728626,0.18648624,0.18557821,0.18398237,0.18210422,0.1816191,0.18428366,0.19146885,0.20454876,0.2261246,0.260513,0.3084955,0.3622537,0.40378463,0.41696176,0.399025,0.3642187,0.3309258,0.30968812,0.2993941,0.29436707,0.29030454,0.28612646,0.28223914,0.2795392,0.27876785,0.28020024,0.28305364,0.28648457,0.2897245,0.29265034,0.29393974,0.29220772,0.28672352,0.27974296,0.27480796,0.27469155,0.27978453,0.28855404,0.29919136,0.30945,0.31760654,0.32216308,0.3231399,0.3210373,0.31668773,0.310684,0.3042933,0.29957223,0.2981355,0.2998331,0.30211297,0.30255255,0.30027756,0.29702345,0.2946463,0.29425955,0.29561463,0.29859635,0.30284402,0.30727446,0.30954862,0.30798984,0.30306458,0.29720837,0.29220888,0.2876866,0.28249553,0.2775024,0.27654567,0.28321192,0.29702678,0.31196436,0.3200145,0.3157126,0.29949066,0.27685222,0.25600195,0.24380273,0.24348275,0.25307593,0.2675506,0.2812145,0.2912967,0.29795173,0.30339682,0.30902514,0.3149693,0.32014358,0.32343063,0.32376185,0.32037643,0.3131348,0.30285856,0.2912433,0.28031012,0.2718617,0.2668279,0.26461276,0.2635212,0.26184234,0.2594463,0.2571098,0.25558385,0.25458565,0.25430202,0.25590298,0.26110592,0.27047384,0.28468505,0.3059821,0.337199,0.37479702,0.4063997,0.41636574,0.39952052,0.36517546,0.3301498,0.30557302,0.29276803,0.2872002,0.28449643,0.2824726,0.28060973,0.27907884,0.27840197,0.2785345,0.28019246,0.28661084,0.30425262,0.3361335,0.37440372,0.40054342,0.39966765,0.37426627,0.3437743,0.32706332,0.32829323,0.33630452,0.33883286,0.33107483,0.31734714,0.30268228,0.29029393,0.28030238,0.2734703,0.27136445,0.27649322,0.29020786,0.3091792,0.32540798,0.32888958,0.31777343,0.30030975,0.29236746,0.30304095,0.32791972,0.34932682,0.35176444,0.3348434,0.31581175,0.31406108,0.33373836,0.36004627,0.37330735,0.36756828,0.35330334,0.34605864,0.34951988,0.3548747,0.34992728,0.33303082,0.31221995,0.29851255,0.29537368,0.29986414,0.30571413,0.31064966,0.31673706,0.33030182,0.354602,0.38466346,0.40649185,0.40750158,0.38766548,0.36054194,0.34168562,0.33636045,0.33744052,0.33516452,0.32614085,0.31653395,0.31432214,0.32132813,0.33005896,0.3299198,0.3180791,0.30213284,0.29582754,0.30490535,0.32401803,0.33866802,0.34093618,0.33339214,0.32866672,0.33383775,0.3467256,0.35586932,0.35482526,0.34642974,0.34375963,0.35757768,0.3870065,0.41636422,0.42571315,0.40691233,0.36866805,0.32953805,0.30236283,0.2897828,0.28671956,0.2881149,0.29118395,0.29513744,0.29914773,0.3010504,0.29799053,0.2884129,0.27434924,0.26052296,0.25130913,0.2475596,0.24715461,0.24790953,0.25092733,0.2602289,0.27814138,0.30033037,0.31562606,0.31441256,0.2960775,0.27008405,0.24714476,0.23260184,0.22520049,0.22178866,0.21999247,0.21880162,0.21754287,0.21588685,0.21375346,0.21129054,0.20940089,0.21110587,0.22220264,0.24717057,0.28297874,0.31706408,0.33466256,0.33015323,0.30966803,0.28585216,0.26751325,0.25784317,0.25461245,0.25465056,0.2547619,0.2533635,0.25026244,0.24609768,0.2419604,0.240402,0.24670295,0.26815775,0.3053627,0.3477389,0.37456536,0.37351584,0.34816074,0.31646487,0.29202235,0.27842817,0.27139607,0.26870695,0.271755,0.28382793,0.30505192,0.3309127,0.35191187,0.3599714,0.35213304,0.3332374,0.31031522,0.28991047,0.27525827,0.26779675,0.26666984,0.26959452,0.27367678,0.27695572,0.27891827,0.27957353,0.27911916,0.2776565,0.27636456,0.27675477,0.28020656,0.28646764,0.29484215,0.3062072,0.32392868,0.35056484,0.38128495,0.40392876,0.4059583,0.3860564,0.35381794,0.3224224,0.29873648,0.28339624,0.2743572,0.2700456,0.26931608,0.27108335,0.2743341,0.27791741,0.28018343,0.27992252,0.2770405,0.27289665,0.2689029,0.2658054,0.26309782,0.2605195,0.259388,0.263749,0.27658203,0.2957152,0.31184813,0.3153235,0.30307844,0.281311,0.25947544,0.24409717,0.23655796,0.23519039,0.23806429,0.24357587,0.25078294,0.25865424,0.26655373,0.27357492,0.2802159,0.28922257,0.30637464,0.3347405,0.36932775,0.39572993,0.40013906,0.37910572,0.342118,0.3029329,0.2712063,0.2493642,0.23582457,0.22824539,0.22563666,0.22811818,0.23557283,0.24606168,0.25561404,0.26185533,0.26685372,0.27810875,0.300046,0.32885075,0.35080636,0.35540327,0.34199142,0.3211584,0.30289778,0.29142228,0.28451493,0.2798177,0.27773353,0.281741,0.29416263,0.312228,0.32730746,0.33093986,0.3217014,0.3066144,0.29485115,0.29028323,0.28991893,0.28809366,0.28200993,0.2731841,0.26503825,0.25945017,0.2558446,0.25297925,0.25125384,0.25250778,0.2585927,0.26906672,0.28170538,0.29268566,0.29980573,0.3041602,0.3119878,0.32927358,0.3543998,0.37511635,0.3764576,0.35429576,0.31802678,0.2836784,0.26053628,0.24975514,0.24681215,0.24823897,0.25160965,0.25572369,0.25961137,0.26298854,0.2660899,0.26874992,0.2704659,0.27072147,0.26973608,0.26783356,0.265007,0.26184937,0.26142195,0.26879835,0.28695044,0.3113387,0.33084175,0.33459926,0.32098642,0.29730132,0.27353188,0.2547553,0.24124803,0.2316091,0.22515865,0.22134428,0.21888779,0.2167713,0.21463661,0.21273488,0.21226573,0.21715777,0.2347873,0.26905748,0.31274652,0.3461543,0.35122,0.32601532,0.28611752,0.25114188,0.23031378,0.22202419,0.22003353,0.22046264,0.22141515,0.22186683,0.22145052,0.22069144,0.22096743,0.22418885,0.23401038,0.2565688,0.29358497,0.3369894,0.36689553,0.3681912,0.3412768,0.3054628,0.28087184,0.27614275,0.28377262,0.29172525,0.29346693,0.29341018,0.29945,0.31433558,0.33016738,0.33596346,0.32588056,0.3044436,0.28082284,0.26332337,0.25478557,0.25377014,0.25608823,0.25811985,0.25845823,0.25817534,0.25891033,0.2612135,0.2645923,0.26843026,0.27278528,0.2776163,0.2821938,0.28506455,0.28590584,0.28778502,0.2968738,0.31843677,0.34872606,0.37448266,0.37930724,0.3589617,0.32347488,0.29079297,0.2711684,0.26435813,0.26346496,0.26333788,0.26228762,0.26072156,0.2589126,0.25713807,0.25563398,0.2554861,0.2572076,0.26143232,0.2676672,0.2753543,0.28290215,0.28899586,0.2939373,0.3008912,0.31347322,0.3308492,0.3462617,0.35173765,0.34483698,0.3299625,0.31286207,0.29649687,0.28053835,0.26557896,0.25280145,0.24406074,0.23954137,0.23990387,0.24522464,0.2547919,0.26576948,0.27637568,0.28884912,0.30805886,0.33385894,0.35684738,0.36343083,0.34876668,0.3205868,0.29352486,0.2765656,0.27021292,0.26938808,0.27113175,0.27671745,0.290356,0.31167158,0.33348283,0.3437384,0.3382454,0.32501647,0.3218085,0.33930203,0.37155604,0.39819825,0.4011698,0.37914956,0.34581947,0.31752753,0.30029416,0.29116046,0.28475058,0.2806555,0.28240612,0.29312733,0.30995682,0.32475495,0.32898176,0.32264435,0.3145827,0.31860745,0.33944213,0.36913097,0.38851023,0.38427165,0.35685655,0.32032156,0.2887884,0.2683995,0.25723493,0.25105438,0.24694099,0.24318929,0.23854136,0.23238976,0.22551876,0.22083116,0.22342326,0.23981917,0.27392483,0.32075062,0.3647121,0.38679335,0.37881932,0.34873125,0.3145163,0.28963116,0.27711603,0.27194712,0.2687752,0.26514584,0.26164111,0.2588677,0.2569361,0.25436196,0.25067237,0.24556023,0.2402314,0.23473136,0.22923471,0.22291942,0.21616812,0.21083355,0.21171264,0.22370152,0.24669957,0.27237985,0.2882909,0.28749862,0.2731929,0.25501356,0.24030364,0.23037614,0.22257735,0.21489173,0.20832306,0.20513219,0.2056972,0.20549895,0.19767272,0.17954741,0.16003114,0.15848352,0.1909533,0.2534252,0.31848347,0.3540462,0.34752962,0.31193054,0.27101916,0.23964238,0.2194752,0.20515579,0.19287978,0.1821164,0.17468403,0.17255205,0.17670952,0.1867885,0.20268972,0.22599478,0.26027748,0.30481112,0.3504238,0.37955293,0.37998512,0.3537493,0.3172821,0.2870958,0.27052465,0.26505122,0.26582575,0.2708155,0.2817482,0.29995584,0.32180443,0.33642825,0.33180845,0.30327657,0.25898919,0.21460663,0.1835544,0.16895603,0.16450123,0.16068386,0.15245397,0.14093585,0.13081671,0.12480662,0.12242494,0.1215057,0.12232557,0.12721236,0.13816357,0.15283976,0.16629928,0.17505129,0.182855,0.19971459,0.23628001,0.29130563,0.34924546,0.38627198,0.39127803,0.37094197,0.34543148,0.3280033,0.32132792,0.31914416,0.31738698,0.3149724,0.3135196,0.31343332,0.31389037,0.3130988,0.30995533,0.30477643,0.29883936,0.2936599,0.28984854,0.28758714,0.28678858,0.2884144,0.29390764,0.30391523,0.31544647,0.32216287,0.31771266,0.30127695,0.27863964,0.25880337,0.24735312,0.24313313,0.23893058,0.22718555,0.20582189,0.18095164,0.16213709,0.15529884,0.15825881,0.16615511,0.17901887,0.20555276,0.25287315,0.31416038,0.36590287,0.38412976,0.36391643,0.32221535,0.2831526,0.25976452,0.25148144,0.250652,0.2514625,0.25092897,0.24849856,0.24381916,0.23785698,0.23156483,0.22864638,0.23413022,0.25572002,0.29414955,0.33937454,0.369004,0.36523107,0.32690525,0.27281293,0.22702624,0.20429777,0.20473225,0.21882582,0.2374841,0.2565132,0.27619913,0.29514065,0.3087162,0.31120446,0.3022257,0.2871262,0.27430952,0.2684665,0.26951817,0.27352467,0.27739942,0.27965355,0.2796315,0.27486998,0.26136166,0.2367538,0.20394701,0.1722144,0.15300065,0.1538156,0.17354266,0.20318079,0.23145723,0.25265166,0.27052984,0.2958946,0.33365214,0.37630963,0.40435573,0.4059266,0.3837357,0.3552911,0.3336664,0.3225427,0.31537125,0.306824,0.29521704,0.2845396,0.279036,0.28125894,0.2890439,0.29821125,0.3047644,0.30724162,0.3061116,0.3022239,0.29658663,0.2904851,0.28712478,0.29010412,0.3016295,0.31847632,0.3338442,0.34058425,0.33752832,0.32826158,0.31885818,0.3127924,0.31120673,0.31252334,0.3141879,0.3136979,0.31073013,0.30698755,0.30413413,0.302321,0.30088577,0.30018604,0.30120754,0.30409804,0.307191,0.3079191,0.30470935,0.29979923,0.30039337,0.3164201,0.34993735,0.39043927,0.41686082,0.41684434,0.39318886,0.36285475,0.33850193,0.32429004,0.31592098,0.31014073,0.30552995,0.30267724,0.30118892,0.30008605,0.2982168,0.2958916,0.2943896,0.2945684,0.29509982,0.29315677,0.28653482,0.27598286,0.26599452,0.26308396,0.27246597,0.2929908,0.31696132,0.33340466,0.3367804,0.32863486,0.31573534,0.30290732,0.29227018,0.2838731,0.2783899,0.27632615,0.27787587,0.28186116,0.2865163,0.28930005,0.2892373,0.2871107,0.28571057,0.28665996,0.28937337,0.29117393,0.2901097,0.2886467,0.293784,0.31473467,0.35117257,0.39133266,0.41396096,0.40917692,0.38193503,0.35066667,0.32750604,0.3158617,0.31068742,0.30777678,0.30432022,0.30017844,0.29649928,0.2953813,0.2975558,0.30212536,0.3069835,0.31054798,0.31153882,0.3095053,0.30479002,0.29953864,0.29694656,0.3001527,0.30996203,0.32318893,0.3336576,0.33547723,0.32815978,0.31635043,0.30698583,0.3034788,0.30542323,0.30985224,0.31514487,0.32151148,0.3307604,0.34251556,0.35323152,0.35650802,0.34931457,0.3350123,0.3236512,0.3242235,0.33774742,0.3542262,0.36004412,0.34985957,0.3334515,0.3293164,0.3463783,0.374213,0.38807955,0.3735912,0.3375601,0.30451822,0.2914647,0.29772934,0.3068799,0.30538583,0.29088512,0.2715635,0.25583962,0.24664795,0.24162205,0.23829846,0.23900598,0.25131202,0.2819469,0.32683012,0.36819467,0.38468173,0.369614,0.3367903,0.31039503,0.30430627,0.31571427,0.33031765,0.33929268,0.34421846,0.3557435,0.37704155,0.39909434,0.40237844,0.3786811,0.33836186,0.30699646,0.30088535,0.31702247,0.33586892,0.34099564,0.32916567,0.30960622,0.2925012,0.28159067,0.2739681,0.26605168,0.25968072,0.26322988,0.2871472,0.33263126,0.38663897,0.42570958,0.43480322,0.416409,0.38849545,0.36645198,0.35519865,0.3498793,0.3466572,0.34640178,0.35447195,0.37189844,0.3923678,0.40216792,0.39300695,0.3672148,0.3377923,0.31578442,0.30527195,0.30328354,0.30576035,0.31082132,0.31912753,0.33328858,0.35218644,0.37005678,0.37685302,0.36906126,0.35113755,0.33315763,0.31944883,0.3081264,0.2946087,0.28014383,0.27144018,0.27836826,0.30399963,0.34094667,0.37054357,0.37747023,0.3599399,0.33220872,0.31011716,0.30016506,0.29828227,0.29822794,0.29879746,0.3039048,0.3198583,0.34642076,0.37478733,0.38828376,0.37785244,0.34744975,0.31362244,0.2900474,0.28123438,0.2824596,0.28813294,0.29696408,0.3127606,0.33867157,0.37006342,0.39336517,0.39535388,0.37497148,0.3444868,0.3193461,0.306293,0.30180064,0.2993119,0.29630575,0.29672042,0.30529714,0.32250535,0.34162554,0.3536645,0.3535596,0.34308597,0.32857373,0.3163265,0.30983183,0.3089414,0.31211314,0.32002842,0.337505,0.3669027,0.40088144,0.42118156,0.41397858,0.38136807,0.34153906,0.31149325,0.2967309,0.2921259,0.29162475,0.2942346,0.3027587,0.3224765,0.35272416,0.38613164,0.40675747,0.40581444,0.38574925,0.3611358,0.3431448,0.33462846,0.3308927,0.32808438,0.32738754,0.33441797,0.35320017,0.37929118,0.39919987,0.39949176,0.37834254,0.34658846,0.31911266,0.3037729,0.299978,0.3021399,0.30614468,0.31241098,0.32567585,0.34811258,0.3731166,0.38622418,0.37736738,0.34974384,0.3178624,0.29473144,0.28400862,0.28131202,0.28216174,0.28734708,0.30282834,0.33281714,0.37196097,0.40450922,0.41445622,0.398752,0.36860415,0.33987495,0.32044837,0.3093032,0.30195776,0.29794824,0.30178228,0.3195569,0.35062075,0.38442424,0.4037701,0.3994501,0.3756964,0.34752476,0.32593498,0.3134138,0.30565956,0.30003262,0.29840264,0.30648586,0.32679617,0.35251093,0.36744592,0.35787842,0.32483825,0.2838908,0.25236604,0.23632742,0.23102112,0.22895668,0.22840504,0.23361151,0.25039604,0.2790024,0.31199053,0.33707914,0.34622356,0.33981714,0.32566878,0.31174138,0.30217683,0.2969879,0.2954986,0.29977128,0.31527543,0.34567475,0.38446942,0.41394988,0.41618276,0.3885064,0.34492552,0.30453667,0.27709123,0.2618457,0.25321612,0.24926203,0.2535882,0.2746495,0.3147881,0.36418238,0.40069652,0.40859416,0.38875017,0.35795522,0.330996,0.31214005,0.29659113,0.28133842,0.26996556,0.27183387,0.29325053,0.3298968,0.3657689,0.38352284,0.377839,0.3572353,0.33644068,0.32397357,0.32051477,0.32060122,0.31965157,0.317318,0.3193778,0.33138165,0.35140085,0.3680195,0.36973742,0.3546156,0.33153197,0.31117153,0.29837227,0.29085997,0.28532028,0.28262636,0.289373,0.31086323,0.34236565,0.36753908,0.3693824,0.34530258,0.3087957,0.278929,0.2652104,0.26565075,0.2713574,0.27699733,0.2836574,0.29950345,0.32858697,0.36489025,0.39003184,0.3896953,0.3633405,0.32654014,0.29607555,0.28070545,0.27866653,0.2842966,0.29398167,0.30927184,0.33360407,0.36440733,0.3896158,0.39441648,0.3750937,0.34162927,0.3102239,0.29009172,0.28232542,0.2826941,0.28798166,0.29674408,0.30998763,0.32691547,0.34290493,0.34931758,0.3414502,0.3223807,0.30184683,0.28728327,0.27955332,0.27455378,0.2694293,0.26723185,0.27517852,0.29964113,0.33647785,0.37208438,0.3891041,0.38451353,0.37041616,0.3678795,0.38247964,0.4012327,0.39938918,0.36822522,0.32064605,0.28472817,0.27667055,0.29323804,0.3150309,0.3271912,0.3265065,0.32177985,0.32084474,0.3253912,0.32940117,0.3277832,0.3219078,0.32085344,0.33280358,0.35425022,0.36854443,0.3571954,0.31877315,0.27295333,0.24906556,0.26272658,0.30664673,0.35668898,0.3915873,0.40485346,0.40421525,0.40097356,0.4010876,0.40404233,0.40623406,0.4062868,0.40735447,0.41376388,0.42472112,0.43010375,0.4191996,0.39071885,0.3581574,0.3368837,0.3326552,0.3358846,0.33462372,0.3241534,0.31171462,0.30599192,0.30933008,0.31554958,0.31725124,0.31475857,0.31627092,0.3329012,0.3645046,0.398286,0.41225263,0.3959707,0.35669032,0.3190389,0.30347416,0.3164827,0.34574953,0.37541428,0.39479426,0.40623316,0.4155052,0.42547807,0.42957482,0.4204873,0.3983866,0.3750672,0.3654511,0.37268117,0.3850747,0.38234708,0.35742143,0.32003495,0.29357696,0.29201236,0.3130541,0.33813193,0.35155854,0.35151824,0.35182118,0.3652953,0.39059043,0.41137457,0.41326702,0.39714804,0.3785878,0.3719188,0.37878045,0.38874483,0.39144492,0.38557246,0.3789587,0.38083884,0.39215466,0.40464887,0.40570036,0.39206025,0.37182996,0.3614218,0.36813387,0.38641545,0.39901337,0.39510682,0.37546587,0.35249302,0.3360782,0.32940164,0.32873514,0.33023307,0.33136806,0.33125964,0.32920226,0.32511684,0.31926134,0.31281784,0.30716762,0.30396536,0.30363044,0.30577767,0.30876443,0.31142703,0.31370556,0.3178558,0.3269912,0.34091088,0.35452938,0.3594339,0.3524815,0.33715275,0.32207453,0.3121276,0.30738425,0.30345845,0.2974365,0.29047632,0.2895745,0.30212843,0.32778585,0.3547622,0.36685154,0.3577902,0.33493745,0.31327447,0.30136338,0.29936895,0.30142322,0.30328444,0.3026702,0.2997476,0.2949805,0.2898097,0.28546318,0.2836118,0.28632268,0.2970817,0.31799325,0.34550723,0.36886874,0.37706098,0.3697003,0.35979474,0.36319137,0.382076,0.40155426,0.4018561,0.37733185,0.33925116,0.30532196,0.2842219,0.2743002,0.26920548,0.26598084,0.26560858,0.2717798,0.285476,0.30299667,0.31534567,0.31598243,0.30483153,0.28904423,0.27562746,0.26762947,0.26388684,0.2625425,0.26275274,0.2642865,0.2665485,0.2683655,0.26900354,0.26838434,0.2673495,0.26625642,0.26550922,0.2647498,0.26417848,0.26385498,0.26617253,0.27580437,0.29957744,0.33776307,0.380448,0.40819743,0.4089111,0.38559893,0.35597524,0.33516803,0.32779384,0.32788718,0.3284218,0.32589486,0.3209188,0.3154917,0.31103992,0.30736572,0.30354083,0.30086827,0.3045911,0.32234076,0.3546025,0.39125216,0.4138451,0.41296038,0.3936615,0.37299275,0.3619627,0.36020705,0.358368,0.35047367,0.3372319,0.324187,0.31514072,0.3106213,0.30890796,0.30931702,0.31373227,0.32647216,0.349955,0.37989056,0.4038914,0.40932658,0.39269567,0.36291614,0.33326063,0.31207252,0.2990333,0.2897455,0.28050914,0.27087402,0.26198912,0.25522277,0.2508625,0.24886692,0.25037754,0.25883016,0.2795746,0.3136973,0.35405746,0.3843193,0.39188007,0.37811837,0.36080393,0.3585371,0.37451908,0.39457798,0.40036094,0.387,0.36338365,0.34339467,0.33288097,0.33035943,0.3309873,0.33272484,0.33584607,0.34209356,0.35134628,0.3613523,0.36762917,0.36750698,0.3611726,0.351964,0.34280542,0.33442613,0.3250507,0.31281105,0.2985381,0.28645813,0.28143346,0.28520688,0.29459083,0.30435017,0.3106148,0.31307492,0.3131431,0.31239125,0.31140825,0.31064346,0.3117211,0.31816766,0.33550882,0.36426148,0.39741525,0.4193151,0.42060387,0.4023913,0.3775687,0.3561457,0.34246993,0.3344235,0.32984504,0.32668746,0.32411158,0.32226655,0.32272324,0.32597747,0.3301796,0.33311555,0.33613083,0.3457922,0.36574164,0.3913373,0.40772083,0.40479955,0.38404706,0.3599771,0.34457505,0.34059092,0.3408818,0.33856964,0.3315915,0.32282576,0.3151181,0.30935943,0.3039432,0.2975121,0.2909937,0.29075542,0.30507886,0.3363006,0.372785,0.3944157,0.38781223,0.35768256,0.32153746,0.2943667,0.2796565,0.27268478,0.26927993,0.26883152,0.2719433,0.27715048,0.28190148,0.28467956,0.28717765,0.29399812,0.31177184,0.34291723,0.3803681,0.40645728,0.40691295,0.3842244,0.3603004,0.3572745,0.3774866,0.40035692,0.4008906,0.37220338,0.3280798,0.2894397,0.26643202,0.25738046,0.25582114,0.25899577,0.26730654,0.2816588,0.2990403,0.31239402,0.31195918,0.2929997,0.25888154,0.22056444,0.18764013,0.16395573,0.14701502,0.13297524,0.11976517,0.10821762,0.10053571,0.0978575,0.09852568,0.09883181,0.09619283,0.09209596,0.09145538,0.098180115,0.11064132,0.1214369,0.12485527,0.12502289,0.1390112,0.18258238,0.25438687,0.3284024,0.37426916,0.37901714,0.3565981,0.33007613,0.3142706,0.30919373,0.30914655,0.30992243,0.31110165,0.3134477,0.3172867,0.32226586,0.3273308,0.33301604,0.34179115,0.35890138,0.38459775,0.41144332,0.42390466,0.41384962,0.38667858,0.36055672,0.3479551,0.3486503,0.3514339,0.34826723,0.3387313,0.32818037,0.32001734,0.31441948,0.30960634,0.30556914,0.3049097,0.31267878,0.3328639,0.36215064,0.3884901,0.39650986,0.38154808,0.3521533,0.32459196,0.3083,0.30424443,0.30749023,0.31421804,0.3211669,0.3259347,0.32658538,0.32345808,0.31830147,0.31339788,0.3106869,0.31204095,0.31766048,0.32505882,0.32926142,0.32735083,0.32037866,0.31260908,0.30719423,0.30472848,0.30427378,0.30485764,0.30780065,0.31679213,0.33765838,0.36981058,0.4029969,0.41877842,0.40726006,0.37487856,0.34240675,0.32728037,0.33261117,0.34713933,0.35765505,0.3601807,0.36147103,0.36859298,0.3789102,0.38071823,0.36561772,0.33788905,0.31137213,0.29799947,0.29923674,0.30827343,0.3167102,0.32232442,0.3293624,0.3452911,0.36995485,0.39337316,0.39892018,0.38140523,0.3520113,0.33499363,0.3441559,0.37325254,0.39780232,0.3982776,0.37361622,0.34058714,0.31662235,0.3075404,0.3081156,0.3104268,0.31046876,0.30789468,0.30422094,0.301002,0.29944357,0.2998178,0.30141166,0.30308154,0.30403098,0.3041887,0.3038368,0.30313686,0.30254734,0.3030781,0.3063345,0.31165007,0.31563655,0.31268975,0.30072153,0.28215957,0.2631572,0.24790911,0.23744898,0.23039912,0.22546925,0.22222354,0.22023623,0.21917693,0.21835463,0.21777095,0.21782887,0.22184356,0.23577595,0.2674237,0.31548616,0.36584914,0.39330164,0.38323757,0.3408921,0.29008517,0.2512569,0.23156117,0.224814,0.22292079,0.22118115,0.21914744,0.2178631,0.21834092,0.22041452,0.22365141,0.23009704,0.24602918,0.278936,0.32599056,0.37069663,0.38864553,0.37020513,0.32540074,0.2782716,0.24402972,0.22522902,0.21497579,0.20974903,0.21069014,0.22187267,0.24281895,0.26734748,0.28464234,0.28823534,0.27894446,0.26486316,0.2530972,0.24644661,0.24268652,0.23883696,0.23354723,0.22812319,0.22509824,0.2266527,0.23279238,0.24141403,0.24891686,0.25282264,0.2525787,0.24967664,0.24536246,0.23982994,0.23379463,0.23145777,0.24151401,0.27064678,0.3153852,0.35991886,0.3862709,0.3882923,0.3738452,0.35722744,0.3464868,0.34305832,0.34377277,0.34641182,0.34889185,0.34983262,0.34831873,0.3445752,0.33961245,0.33465818,0.330879,0.32943034,0.33024427,0.33206484,0.33212844,0.32977667,0.32651162,0.32633352,0.32993206,0.333874,0.3310909,0.31780422,0.2960497,0.27279115,0.25471094,0.24485593,0.24239282,0.24403308,0.24622309,0.24620377,0.24240632,0.23338364,0.21763529,0.1951412,0.17224376,0.16291076,0.18434055,0.24024029,0.31293878,0.3680592,0.3819133,0.35557863,0.3121041,0.2729624,0.24596588,0.22653012,0.20847893,0.19056316,0.17660213,0.1714653,0.17641877,0.18719393,0.19798772,0.20799035,0.22448577,0.25758788,0.3064009,0.35443965,0.3760575,0.3601129,0.31625688,0.26899484,0.23456244,0.21599706,0.20652132,0.20205045,0.20276518,0.21220233,0.2309552,0.25530553,0.27626157,0.28607532,0.28220797,0.26991135,0.2572749,0.2502761,0.24953978,0.25155088,0.2520577,0.24871348,0.24171019,0.23252523,0.2228024,0.21395987,0.2072801,0.20359457,0.20299816,0.20443647,0.20614679,0.20624451,0.20576818,0.2104149,0.23045367,0.27094778,0.32469153,0.37081745,0.39125153,0.38257694,0.35891476,0.337163,0.32653967,0.32517526,0.3269427,0.32675186,0.32376444,0.3196652,0.31635913,0.3138305,0.31131616,0.30865404,0.30650237,0.30480358,0.30279252,0.3003747,0.29902288,0.30056524,0.30518833,0.3114637,0.31629062,0.316424,0.3086586,0.29316452,0.2733023,0.25486663,0.24165,0.23457164,0.23169243,0.23024301,0.22764434,0.22297521,0.21741068,0.21335538,0.21209876,0.212849,0.21574898,0.22522034,0.25041875,0.29318318,0.34153625,0.36989045,0.36222878,0.3222091,0.27258864,0.23295367,0.2106206,0.20111579,0.19810283,0.19737309,0.19653928,0.19430655,0.19026412,0.18523093,0.18088333,0.18174483,0.19561745,0.23101853,0.28463894,0.33818236,0.36381853,0.34929276,0.3034301,0.2512265,0.20958364,0.18348025,0.1681435,0.16145353,0.16432352,0.1799299,0.206685,0.23737323,0.25896236,0.2619644,0.24500842,0.21697928,0.18895356,0.1683209,0.15552115,0.14659284,0.13718098,0.12538935,0.11260635,0.101264894,0.092770614,0.0865706,0.08201661,0.07988211,0.08194777,0.08811343,0.09470669,0.09624702,0.092253484,0.09205934,0.11405506,0.17069602,0.25500205,0.3371587,0.38570467,0.38949597,0.36392662,0.3343478,0.31609234,0.3101299,0.3092256,0.30841282,0.30669114,0.30614325,0.30836156,0.31286272,0.3181207,0.3224118,0.32563415,0.32763317,0.32822636,0.3266619,0.32282427,0.31826413,0.3152695,0.3165829,0.32132968,0.32558033,0.32211235,0.30750895,0.28368434,0.25833508,0.23817837,0.22607093,0.22022091,0.21729536,0.21471709,0.21157639,0.20847048,0.20605482,0.20435308,0.20235844,0.20181102,0.20890468,0.23427315,0.2800505,0.33341014,0.36710882,0.36287674,0.32352057,0.27209625,0.23008685,0.20619912,0.19674833,0.19578199,0.20027973,0.21069439,0.22743173,0.24795419,0.2653985,0.2732241,0.27196312,0.27162984,0.28609022,0.31789055,0.3537378,0.3689542,0.35109594,0.3068476,0.25919783,0.22525667,0.20952827,0.2048711,0.20445299,0.20657074,0.21587543,0.23742874,0.27103254,0.30683944,0.33185303,0.3398718,0.33886454,0.3431611,0.3580127,0.3725483,0.36884654,0.3412106,0.300208,0.2636176,0.24002784,0.2273839,0.21912582,0.21209587,0.2067095,0.20369877,0.20240872,0.20112221,0.19934429,0.19965589,0.20847197,0.23420298,0.2786743,0.3306879,0.36683217,0.36827803,0.33488724,0.2856103,0.24207143,0.21426642,0.19987656,0.19218998,0.18705988,0.1833104,0.18135823,0.18192954,0.18567188,0.19268878,0.20227994,0.21279682,0.2223373,0.22899441,0.2321111,0.23206294,0.23075049,0.22979969,0.22977722,0.22918768,0.22616045,0.22008121,0.21234483,0.20510262,0.19935602,0.19446965,0.18913257,0.18314731,0.1780094,0.17572439,0.17710371,0.18094045,0.18488963,0.1867988,0.18544115,0.18084438,0.17374058,0.1655029,0.15721172,0.14977188,0.14348786,0.13853665,0.13486938,0.132364,0.13076138,0.12961815,0.12835395,0.12632988,0.12318936,0.11925769,0.11556447,0.11340941,0.113515206,0.115543805,0.11800233,0.11908888,0.11768601,0.114219815,0.11016581,0.10702319,0.10564042,0.106271505,0.10914869,0.11412513,0.120596506,0.12708749,0.13207592,0.13449115,0.13434513,0.13215806,0.12847842,0.1235393,0.11775782,0.11182774,0.10643367,0.10204593,0.09893959,0.097623296,0.09796556,0.099137835,0.09940336,0.09781805,0.0945007,0.09073461,0.08760366,0.08567829,0.0848906,0.084961824,0.08545774,0.08588225,0.08584625,0.08525602,0.08430132,0.08323404,0.08210101,0.080713175,0.07878878,0.07635501,0.07392377,0.07236823,0.07235706,0.07394429,0.076486826,0.07900452,0.08061438,0.08100063,0.080527954,0.07998842,0.079930566,0.08025163,0.080310464,0.07948266,0.07771218,0.07544511,0.07333908,0.071708426,0.07058999,0.069858365,0.069571175,0.070012726,0.07146119,0.07392629,0.07676276,0.07909595,0.080138095,0.07981067,0.07847012,0.07676741,0.0752092,0.074089795,0.07337267,0.0727835,0.071975686,0.07070414,0.06900227,0.06718663,0.065719485,0.06481918,0.06433358,0.0638975,0.06335351,0.06275562,0.062157895,0.061402816,0.060282756,0.05874911,0.056915496,0.054934133,0.052896198,0.050905973,0.049090575,0.047621477,0.046611693,0.046105247,0.04595782,0.045892607,0.045571983,0.044808924,0.043631356,0.042161364,0.040480834,0.038536217,0.036323108,0.033967357,0.03176376,0.029972224,0.0286771,0.027756304,0.027019337,0.026357261,0.025782801,0.025326528,0.024930239,0.024457505,0.02381531,0.023056127,0.022313187,0.02169011,0.021148115,0.020556873,0.019782526,0.018793771,0.017692631,0.016661268,0.01591667,0.015616961,0.015929936,0.017225102,0.020404486,0.026862716,0.037852578,0.05377311,0.074207254,0.09863684,0.12666827,0.15703394,0.18629515,0.2090264,0.2198708,0.21720873,0.20496269,0.19154029,0.18405938,0.18388003,0.18597949,0.18502326,0.18086924,0.17947733,0.18678898,0.20243119,0.21919082,0.22896032,0.2296136,0.22502016,0.22090237,0.21954031,0.22025579,0.22074787,0.21930109,0.21499467,0.20872878,0.20281483,0.19863015,0.19418748,0.1858067,0.17284131,0.16083986,0.15738834,0.16587822,0.18182842,0.1969165,0.20506953,0.20580788,0.2022145,0.19594784,0.18571208,0.16929324,0.14838469,0.12892,0.118418425,0.12108406,0.13595642,0.15738863,0.17798825,0.1923418,0.19913058,0.20085408,0.20073982,0.20073622,0.20093773,0.20081897,0.2000438,0.19886516,0.19801156,0.19808118,0.19901748,0.19991408,0.20034693,0.20074464,0.20172389,0.20136942,0.19548215,0.18049578,0.15792058,0.13389283,0.114978395,0.10349352,0.0981775,0.09701606,0.10002921,0.107976444,0.12091718,0.13676174,0.1516416,0.16122831,0.16205096,0.1545,0.14344513,0.13806258,0.14508153,0.16403387,0.18548165,0.19875498,0.19878358,0.18883891,0.17572951,0.16507155,0.15899758,0.15696822,0.1565219,0.15398292,0.14558999,0.12985179,0.10900744,0.088329464,0.07296573,0.06526797,0.064050354,0.06635308,0.06916187,0.07070788,0.070434175,0.069118716,0.068266995,0.069252424,0.07211572,0.07528469,0.07667578,0.07514355,0.071303844,0.06682393,0.0632954,0.061339196,0.060610022,0.06029606,0.05967186,0.058402877,0.0565964,0.054751802,0.053666424,0.05399786,0.05587107,0.05860604,0.061241474,0.062973745,0.06354221,0.06301423,0.06174974,0.060269356,0.059126142,0.058543008,0.05826409,0.05778308,0.056794543,0.055371847,0.05377284,0.052139625,0.05047373,0.04880405,0.047312886,0.046242986,0.045742083,0.04576741,0.04607727,0.0463032,0.04607056,0.04526824,0.044133037,0.043189574,0.042790715,0.042897772,0.043023307,0.04268838,0.041709673,0.040339116,0.03894597,0.037736353,0.036642607,0.035498515,0.034268264,0.033051208,0.0320222,0.031297434,0.031013658,0.03127914,0.032173213,0.033644203,0.03559688,0.037925526,0.040496618,0.04298464,0.044848982,0.045596514,0.04542539,0.046022072,0.050632328,0.06298254,0.0845587,0.112784624,0.14110239,0.16279922,0.17515834,0.18133886,0.18779385,0.19876035,0.21337913,0.22652437,0.23463005,0.23870508,0.24361639,0.2520779,0.26109037,0.26343462,0.25429636,0.2363228,0.21886998,0.21132982,0.21635062,0.22855933,0.2398643,0.2465481,0.25035688,0.25491405,0.26070037,0.26731312,0.27523005,0.28687668,0.30126274,0.31384632,0.31842867,0.31287363,0.29955098,0.28391507,0.27055788,0.26175758,0.2573099,0.25615695,0.25714067,0.2587652,0.25901115,0.25569114,0.24819852,0.23767066,0.22709368,0.2191969,0.21597517,0.21683551,0.21965711,0.2209046,0.21907772,0.21480669,0.21122356,0.21025331,0.21142256,0.21098298,0.20434006,0.18908738,0.1672641,0.1451004,0.12838362,0.119000964,0.11351023,0.10729346,0.09834816,0.09010089,0.09040604,0.10621297,0.13805504,0.1765569,0.20940745,0.22832413,0.23437996,0.23303284,0.23055448,0.23150565,0.23915601,0.25345102,0.26987162,0.28235447,0.28814316,0.28958526,0.29004517,0.28992227,0.28642216,0.27753833,0.26419035,0.24958985,0.23629503,0.22522147,0.2160337,0.20865886,0.20352034,0.20120817,0.2018193,0.20496057,0.20974995,0.21487373,0.21872646,0.22003292,0.21856117,0.21501803,0.21092798,0.2077105,0.20682596,0.20906015,0.21505482,0.22467418,0.23666807,0.2484703,0.25770208,0.26441047,0.27066302,0.2778106,0.28371242,0.28396294,0.275547,0.25961876,0.24088405,0.22492404,0.21535774,0.21253757,0.21393354,0.21618278,0.2174734,0.21814846,0.21973796,0.22254038,0.22559448,0.22675765,0.22491169,0.21946175,0.21168219,0.2039283,0.20002858,0.2022493,0.20928611,0.21632726,0.2185537,0.21494435,0.20807485,0.20193993,0.19872403,0.19850646,0.19962452,0.20047277,0.20023121,0.19940962,0.19872029,0.19851433,0.19836669,0.19823785,0.19877863,0.20104039,0.20500545,0.2090155,0.2104557,0.20755313,0.20034374,0.19038565,0.17880774,0.16556709,0.14980252,0.13232191,0.11612558,0.10525453,0.10152251,0.10337674,0.106725864,0.10762537,0.104019135,0.0963603,0.08698866,0.07874298,0.07355735,0.07129959,0.0701833,0.06799511,0.06379535,0.058340073,0.053240936,0.0496639,0.047657087,0.046751488,0.046621278,0.047556277,0.049802948,0.05316025,0.05667147,0.05930853,0.060450986,0.06023665,0.059387926,0.058702644,0.05858143,0.058595818,0.058119606,0.05696081,0.055937503,0.056116056,0.058159154,0.06183648,0.06644396,0.07104985,0.07464338,0.07615795,0.07538211,0.07496416,0.08201692,0.10614228,0.15285675,0.21669316,0.2824473,0.33560824,0.37383685,0.40501586,0.43351388,0.4503592,0.44021264,0.3998876,0.34315082,0.29175758,0.25753906,0.24085039,0.23453861,0.23308057,0.2328357,0.23269713,0.23211299,0.23120137,0.22992851,0.22959124,0.23316377,0.24409647,0.2621659,0.28234923,0.29754207,0.30443358,0.30441806,0.3014841,0.29745042,0.292506,0.2859645,0.27878532,0.27172276,0.2646626,0.25550926,0.24276151,0.2267201,0.21057422,0.19808732,0.19287772,0.19597326,0.20647348,0.22082876,0.23541121,0.24609752,0.24940461,0.24287237,0.22789824,0.2087571,0.1892374,0.16915196,0.14804901,0.12981157,0.12397388,0.13732584,0.16708924,0.19917886,0.21740727,0.21392207,0.1955586,0.17925297,0.17996319,0.19976805,0.22665696,0.24443118,0.24479711,0.23260857,0.22038664,0.21835448,0.22670187,0.23690142,0.23741917,0.22214873,0.19246656,0.15718314,0.12656452,0.10911354,0.10780319,0.12224529,0.14846605,0.1807986,0.21063708,0.23110497,0.23920675,0.23816715,0.23285484,0.2273435,0.22346835,0.22252488,0.22565968,0.23308468,0.24363844,0.25449073,0.26225388,0.26358783,0.25704613,0.24427883,0.2305064,0.22252263,0.2246599,0.23569207,0.24892028,0.25708386,0.25714067,0.2517963,0.2457972,0.24187307,0.23947625,0.2369749,0.23415178,0.232382,0.23309319,0.23570943,0.2379415,0.2374648,0.23440836,0.23142458,0.23136646,0.23511104,0.2406521,0.24578674,0.2483203,0.24754797,0.24248861,0.23395525,0.22351561,0.21395797,0.20686619,0.2026242,0.20014048,0.19823225,0.1964811,0.19596802,0.19853313,0.20546831,0.21663101,0.23040068,0.24431281,0.2555553,0.26228794,0.26466772,0.2648802,0.26538417,0.26697418,0.2688097,0.2695727,0.26899925,0.2675476,0.2660308,0.26496613,0.2647117,0.26511934,0.26502588,0.2620145,0.25293684,0.23556785,0.2100693,0.1797318,0.14967407,0.124580234,0.10640711,0.094180085,0.08550795,0.07867106,0.0732562,0.06956738,0.06772376,0.06749923,0.06844217,0.06995657,0.07118127,0.071117856,0.068968095,0.06453087,0.058482144,0.052618634,0.050031666,0.05478679,0.070489995,0.09814632,0.13446714,0.17241587,0.20377159,0.22268151,0.2277196,0.22138716,0.20717104,0.18713997,0.16269673,0.13731222,0.11682967,0.10507497,0.1003711,0.09726498,0.0930045,0.09045279,0.096035905,0.114534445,0.1451361,0.18076728,0.211046,0.23288582,0.2551708,0.2966085,0.36205313,0.43439016,0.47700214,0.46931472,0.41750467,0.3528676,0.30009308,0.26806512,0.2499296,0.24028294,0.24131525,0.26378992,0.31287566,0.37660968,0.42427924,0.42845818,0.38660145,0.32179892,0.2621126,0.22010887,0.1943558,0.17922135,0.17680235,0.1953424,0.24414133,0.31716433,0.39012167,0.42755082,0.4133534,0.35870007,0.29589984,0.24775791,0.22032128,0.20512064,0.19715625,0.2001179,0.22627084,0.2810614,0.3509558,0.40336132,0.40931916,0.36687732,0.3006121,0.241144,0.20234074,0.18246113,0.17352098,0.17513852,0.19455802,0.24132903,0.31067538,0.37889853,0.41171464,0.39307556,0.33447707,0.26743463,0.21553971,0.18568538,0.17086732,0.16597012,0.17478025,0.20949459,0.27504575,0.35496208,0.4125855,0.41747892,0.37025607,0.30025825,0.23976283,0.20122848,0.1798727,0.16699849,0.1630872,0.1775896,0.22312425,0.29850417,0.3816673,0.43488216,0.4350499,0.38801,0.32448113,0.2705562,0.23538156,0.21359994,0.20177354,0.20436873,0.23177223,0.28708884,0.3566364,0.41040003,0.42186686,0.38747355,0.3284965,0.27256176,0.23442595,0.21396478,0.20500685,0.20643292,0.2236744,0.2643392,0.3251703,0.3867327,0.41958395,0.40840483,0.36340204,0.3150348,0.28720918,0.2851161,0.2948937,0.3036107,0.30808505,0.32036778,0.3505228,0.39582482,0.43434945,0.44346908,0.41797936,0.37420177,0.33696088,0.31917834,0.3202705,0.3287858,0.3389505,0.3510834,0.3738984,0.4069108,0.43966356,0.45035663,0.43012848,0.3858751,0.34091678,0.31198433,0.3036836,0.3077147,0.31572393,0.32676175,0.34678313,0.37962937,0.41711494,0.4406347,0.43530312,0.40374842,0.36506414,0.3384256,0.32871032,0.32737136,0.3251342,0.3227543,0.32865617,0.3493468,0.37913164,0.40336335,0.40744328,0.38992223,0.36126056,0.33667958,0.32439268,0.32367066,0.3276243,0.3309526,0.3338839,0.34325138,0.3641877,0.39367178,0.41763994,0.42375472,0.41187188,0.39729154,0.3953978,0.4080381,0.42082807,0.41723356,0.39300606,0.35915828,0.33225143,0.32250944,0.3287712,0.34216526,0.35218975,0.3528321,0.3434465,0.3278893,0.31068072,0.2954633,0.28417814,0.27773345,0.27564415,0.2763556,0.27770066,0.2787144,0.27944216,0.2805195,0.28129318,0.28047407,0.27656844,0.2691569,0.25895628,0.25042197,0.2521923,0.2748302,0.3178552,0.3662567,0.3948098,0.39232203,0.3666904,0.33955994,0.3231959,0.31706217,0.31293407,0.30639425,0.2980201,0.29044345,0.28553808,0.2841835,0.28601003,0.290157,0.29505968,0.30004176,0.3043033,0.30695996,0.30660602,0.30278328,0.29743096,0.2944645,0.29776898,0.30769905,0.3203765,0.3297647,0.3319567,0.32720292,0.31878963,0.30997005,0.30212143,0.2949468,0.28830674,0.28336838,0.2822204,0.2856427,0.2918993,0.29748645,0.30066434,0.30467352,0.31728244,0.34447703,0.38045108,0.407601,0.40714684,0.377515,0.3346912,0.30016935,0.2830929,0.27947462,0.28092507,0.28291693,0.28581592,0.28998175,0.2949994,0.29876447,0.30053267,0.30172873,0.3077987,0.32650688,0.36064115,0.40171543,0.42996004,0.4296088,0.40066445,0.3601847,0.32594,0.30516768,0.29315028,0.2838615,0.27580974,0.27350286,0.2808447,0.29739222,0.315624,0.3265594,0.32514554,0.31385413,0.29927567,0.2866242,0.27742913,0.26953664,0.26098782,0.25099382,0.24194443,0.2365195,0.23622148,0.23937483,0.24326849,0.24637157,0.2488426,0.251169,0.25196698,0.2500698,0.24705458,0.2518671,0.27526057,0.3230014,0.382575,0.43052563,0.44362652,0.4205073,0.3776201,0.3379874,0.31346473,0.3033248,0.30138293,0.3018956,0.30300128,0.3040988,0.30612755,0.3089869,0.31178796,0.31292608,0.3117186,0.30874133,0.3049957,0.30094054,0.2962053,0.2903811,0.28446853,0.28113866,0.28364798,0.2920004,0.30202368,0.30708352,0.30367947,0.29356515,0.28215066,0.27411827,0.2707957,0.27056965,0.27085543,0.2701188,0.26845825,0.26681605,0.26585647,0.26511058,0.26460195,0.26751307,0.28133354,0.31223416,0.35481468,0.3902615,0.39755082,0.37256858,0.33077478,0.29486707,0.27661678,0.2738807,0.27800655,0.282482,0.2854152,0.2872419,0.28902328,0.2906575,0.29168698,0.2928797,0.29881743,0.3169187,0.35001054,0.3890458,0.41417024,0.40911043,0.37518978,0.33018956,0.29467857,0.2769918,0.27398798,0.27784416,0.28502095,0.29570982,0.31026638,0.32528868,0.33507764,0.33630285,0.3307818,0.3234347,0.31772146,0.31398705,0.3107791,0.3075411,0.30473867,0.30339742,0.30370572,0.3047677,0.30494598,0.3030472,0.2994758,0.29557514,0.29248932,0.29022396,0.2882747,0.28643093,0.28511146,0.2872058,0.29833218,0.32510588,0.36551225,0.4056004,0.42423558,0.4118406,0.37701225,0.34072414,0.31751028,0.30923083,0.30842236,0.30791435,0.30435383,0.29824126,0.29239115,0.2895216,0.29052964,0.2937821,0.2974176,0.3008648,0.30443403,0.30767795,0.3089271,0.3076137,0.30561635,0.3066723,0.3126439,0.3213762,0.327629,0.32710424,0.31932008,0.3074278,0.295367,0.28580722,0.279531,0.27642098,0.27614686,0.2784392,0.28305855,0.28890118,0.2944706,0.2976112,0.2984008,0.30053028,0.31238374,0.34030446,0.3792077,0.41042483,0.4132048,0.38411602,0.3392971,0.30187914,0.2820854,0.2763823,0.27543643,0.27446583,0.2726568,0.27114806,0.27057528,0.27144042,0.2727121,0.2748246,0.28206733,0.30441192,0.34584823,0.39541164,0.42739797,0.42264345,0.38395217,0.33355868,0.29327533,0.2710451,0.2634277,0.2644882,0.2712467,0.28290892,0.29857433,0.31506726,0.32646808,0.32713118,0.31610486,0.2985097,0.2821153,0.27248144,0.27050987,0.27399066,0.27968428,0.28600278,0.29209134,0.29746565,0.300387,0.2999975,0.29702675,0.29401425,0.29269055,0.29311916,0.29431453,0.29509243,0.29514953,0.29706487,0.30935434,0.34293604,0.3980169,0.45566335,0.48502383,0.47038642,0.4231268,0.37349072,0.34272334,0.33330843,0.33437154,0.33658352,0.33657908,0.33507517,0.33329627,0.33165297,0.3298469,0.3272022,0.3234422,0.31906044,0.3149011,0.3116438,0.30950546,0.30862507,0.31026146,0.3166701,0.3305156,0.34981406,0.36787656,0.37489533,0.367414,0.34953582,0.33066234,0.31715056,0.31037414,0.3085932,0.3095114,0.3117597,0.31381986,0.3154157,0.3165826,0.31818345,0.32097036,0.32863382,0.34778285,0.38419735,0.43111864,0.46812335,0.47142982,0.43697926,0.38264582,0.33609214,0.31068516,0.30370128,0.30382553,0.30501482,0.30732474,0.3144,0.32587484,0.3369099,0.33922222,0.3322696,0.32540533,0.33659598,0.3744768,0.42877448,0.47072697,0.4753457,0.4403814,0.38773796,0.34401688,0.3211235,0.31430542,0.31262937,0.3111443,0.31220117,0.32131138,0.33816788,0.35655844,0.36676085,0.36836207,0.36886156,0.38308966,0.41415432,0.45238927,0.47482586,0.46721748,0.43145525,0.38482544,0.34350407,0.31351456,0.29252386,0.27663532,0.26445937,0.2564501,0.2524334,0.25184566,0.25220525,0.25228134,0.2540376,0.26653692,0.30264124,0.36413133,0.43271574,0.47232345,0.46062422,0.40406048,0.33629242,0.28541672,0.2602215,0.2509491,0.24677408,0.24180812,0.2354844,0.22874235,0.22322448,0.22018994,0.22000481,0.22167988,0.22373985,0.22471589,0.22395556,0.22129901,0.21709387,0.21170719,0.20570548,0.19982423,0.19487202,0.1914602,0.18967116,0.18908863,0.1888821,0.18839188,0.18712914,0.18491602,0.18115567,0.17557694,0.1682847,0.16083418,0.15488434,0.15181704,0.15127768,0.15210082,0.15255153,0.1515428,0.14846008,0.14340407,0.1369779,0.13023137,0.124408215,0.1202841,0.11818569,0.11765254,0.11798796,0.11807706,0.11694508,0.11398739,0.10929168,0.1037477,0.09831107,0.093979545,0.09094498,0.089252174,0.08828742,0.087590516,0.086478174,0.08465732,0.081923924,0.07832343,0.07409503,0.06972438,0.06603039,0.063635595,0.062828384,0.06313021,0.06372857,0.06358894,0.062073648,0.059062127,0.055083662,0.05091844,0.047252733,0.044438753,0.042517316,0.041311886,0.040482357,0.03959602,0.038277388,0.03634967,0.03390382,0.031168902,0.028400073,0.025808237,0.02357085,0.02181332,0.02050838,0.019476967,0.018411769,0.017031047,0.015125882,0.01270016,0.010051745,0.007832657,0.006779613]