[0.14348386,0.14597018,0.14948206,0.1505267,0.14863078,0.1460916,0.1446745,0.14375116,0.14146961,0.13694982,0.13105239,0.12544642,0.12124517,0.118299335,0.11580616,0.11318115,0.11070124,0.108942874,0.10843801,0.10930032,0.11159902,0.11520363,0.119426884,0.12267467,0.12269545,0.11835437,0.110682875,0.103029154,0.09838346,0.0982294,0.102667384,0.11295501,0.130816,0.15629792,0.18445893,0.20771147,0.21992548,0.2214321,0.21736258,0.21376155,0.21260737,0.21200134,0.20872627,0.2013086,0.19040053,0.17788963,0.16631466,0.15916361,0.15936473,0.1675002,0.17949408,0.18931945,0.1915992,0.1856243,0.17427741,0.16303009,0.15677665,0.1585461,0.16788165,0.18098857,0.19240963,0.19800888,0.19713068,0.1922584,0.18698148,0.183946,0.18421979,0.18738367,0.19241117,0.19809,0.20374936,0.20851064,0.21126014,0.21050502,0.20661323,0.2020107,0.20048487,0.20306183,0.20739798,0.20897879,0.20567591,0.19860606,0.19074559,0.18344319,0.1758201,0.1660677,0.15410607,0.14183877,0.13247807,0.12824054,0.12980177,0.13600683,0.14487307,0.15430814,0.16245157,0.16849236,0.17236292,0.17531097,0.1781866,0.18126898,0.1831361,0.18232398,0.17791378,0.17067158,0.16242914,0.15589713,0.15365957,0.15692373,0.1641838,0.17180268,0.17597638,0.17484908,0.16848671,0.15837009,0.1464272,0.13550289,0.12881686,0.12963583,0.1385731,0.15260763,0.1647381,0.16901165,0.16392022,0.15479918,0.14891286,0.15093268,0.15938495,0.1692487,0.175582,0.17605627,0.1705001,0.1602665,0.14830221,0.13910662,0.13598645,0.13876946,0.14337115,0.14570014,0.144086,0.13940048,0.13277888,0.12517677,0.11903813,0.11847646,0.12689131,0.14322625,0.16153662,0.17466651,0.178461,0.17415653,0.16611832,0.15908967,0.15520562,0.15428774,0.15483736,0.1556003,0.15558986,0.15409541,0.15083833,0.1469599,0.14456181,0.14564736,0.15022911,0.1569146,0.16406947,0.17151208,0.17968746,0.18841274,0.19570886,0.19877894,0.19564517,0.18667716,0.17439084,0.16237354,0.15360709,0.14989221,0.15101105,0.15492208,0.15782456,0.15647157,0.14988862,0.14045636,0.13197733,0.12790765,0.1298653,0.13828821,0.15225355,0.16998065,0.1884268,0.20444427,0.21504398,0.21790153,0.21165638,0.19641232,0.17457366,0.14991803,0.12730016,0.11089609,0.103392966,0.104499854,0.11190152,0.12347517,0.13917874,0.15958218,0.18308502,0.20423017,0.21664985,0.21627332,0.20432143,0.18579601,0.16745907,0.15438098,0.14862816,0.14910638,0.15299486,0.15723942,0.1590793,0.15696698,0.15125757,0.14529614,0.14343409,0.1484618,0.15885483,0.1703813,0.17844254,0.1812809,0.17954461,0.17544758,0.17032473,0.16476749,0.1592292,0.15537332,0.15514578,0.15894867,0.1648498,0.16976254,0.17189933,0.17146349,0.16981326,0.16771762,0.1648717,0.16054733,0.1540745,0.14517897,0.13416307,0.12269687,0.11301469,0.1065009,0.10233778,0.099695645,0.09920106,0.1033371,0.112051606,0.121907234,0.12768017,0.12859802,0.12937966,0.1361947,0.14970559,0.16303281,0.16766983,0.16056891,0.14679693,0.13416307,0.1273529,0.12679677,0.13246183,0.14653563,0.17036857,0.19999647,0.22569513,0.23885614,0.23821533,0.23068295,0.22445631,0.22308683,0.2240174,0.22281624,0.21732713,0.20906852,0.20133758,0.1965692,0.19488113,0.1943718,0.19252056,0.18744461,0.17903648,0.16909392,0.16069585,0.15634193,0.15656392,0.16000281,0.16475914,0.16951914,0.17376132,0.17714797,0.17912847,0.1782674,0.17281593,0.16220717,0.14826016,0.13450265,0.12315265,0.11511097,0.11100102,0.11356642,0.12428439,0.14058399,0.15460528,0.15909635,0.15254678,0.1409927,0.13280956,0.1328939,0.14002724,0.14980166,0.1585118,0.16453885,0.166874,0.16464876,0.15870242,0.15280102,0.15138878,0.15600528,0.16409527,0.17162865,0.17593895,0.1763577,0.17316723,0.16721846,0.16037355,0.1552668,0.15418434,0.15772855,0.16455376,0.17183192,0.17634873,0.17583227,0.17019652,0.1617691,0.15447842,0.15141071,0.1538017,0.15970807,0.16600007,0.16890477,0.16748238,0.16391797,0.16291977,0.16697729,0.17369099,0.17755622,0.17496811,0.1678086,0.1610824,0.15873277,0.16006042,0.16170812,0.16060035,0.15719658,0.15388957,0.15303023,0.1544857,0.15726455,0.16051024,0.16490781,0.17046136,0.176259,0.17963572,0.17878616,0.17305183,0.16382386,0.15368073,0.14734557,0.15187319,0.17330514,0.21071255,0.25185087,0.27913287,0.2809482,0.2602441,0.23119588,0.20774917,0.19574599,0.1918381,0.19057246,0.1875989,0.18185866,0.1730216,0.16208054,0.15073846,0.14088306,0.13341786,0.12815954,0.1269427,0.1332462,0.15017796,0.17488402,0.19910856,0.21358335,0.21427292,0.20426309,0.19064929,0.18022656,0.1755687,0.1750471,0.17544608,0.17532782,0.17575014,0.17752476,0.17994148,0.18137427,0.18208544,0.1835866,0.18717897,0.19232021,0.19813178,0.20448649,0.21156597,0.21843874,0.22260767,0.22242218,0.21781534,0.21068074,0.2019272,0.1918013,0.17971893,0.16704921,0.15634589,0.15064906,0.15045975,0.1538161,0.15781565,0.16158225,0.16660172,0.17418939,0.18291102,0.18913229,0.19124746,0.19176798,0.1951875,0.20265757,0.21062024,0.21405041,0.21085076,0.20308457,0.19414763,0.1870659,0.18313521,0.18347484,0.18791795,0.1951837,0.20196871,0.20505214,0.20338504,0.19876699,0.19473644,0.19289045,0.19273259,0.1918195,0.18987869,0.1885196,0.19074886,0.1965509,0.20319188,0.2063235,0.2044792,0.19880994,0.19227766,0.18643516,0.18209498,0.17945056,0.17918116,0.18109848,0.18410563,0.18661511,0.18799831,0.18842782,0.18766709,0.18458696,0.1788895,0.17302163,0.17125483,0.17577451,0.18403834,0.190436,0.19112967,0.18705638,0.18246466,0.18077432,0.18190964,0.18338384,0.18340941,0.18232773,0.18159403,0.18086626,0.17796879,0.1696618,0.1554473,0.13798179,0.12359723,0.117674984,0.122592926,0.13563961,0.15238227,0.16834734,0.1807202,0.18747105,0.18806326,0.18344945,0.17585437,0.16695057,0.15782319,0.14981379,0.14556195,0.14772718,0.15618874,0.16773592,0.17743605,0.18271,0.18339555,0.18141572,0.17818117,0.17532341,0.17448024,0.17692415,0.1816534,0.18564771,0.1860952,0.18266189,0.17721863,0.17202361,0.16799057,0.16501416,0.1627637,0.16208357,0.16440953,0.1705128,0.17881864,0.18608572,0.18996896,0.19078104,0.19117932,0.19319928,0.19689715,0.20045978,0.20253414,0.20275955,0.20111924,0.19602744,0.18528019,0.1680593,0.14759032,0.12917319,0.11708336,0.11141133,0.11012104,0.11174276,0.117211126,0.12693273,0.13873355,0.14742929,0.14894842,0.14270972,0.13269839,0.12476429,0.12499889,0.13699341,0.16044019,0.18974578,0.21664219,0.2340826,0.23996262,0.2370761,0.23078942,0.22567312,0.2232129,0.22184561,0.21931447,0.21521668,0.21090531,0.20732458,0.20317714,0.19633615,0.18603599,0.17479657,0.16637488,0.1637472,0.16617197,0.17063849,0.17319202,0.1719292,0.16666703,0.1585851,0.14956033,0.14197361,0.13908426,0.1424586,0.15186287,0.16379488,0.17450081,0.1798457,0.17746364,0.16742219,0.1542572,0.14492238,0.14387877,0.14921974,0.15533237,0.159343,0.16434221,0.17465049,0.1897157,0.20294565,0.20807926,0.2042373,0.19636625,0.18963157,0.18603323,0.18363118,0.1800435,0.17459893,0.16863586,0.16374505,0.16019583,0.15813361,0.15843727,0.16359615,0.17460613,0.1894991,0.20255905,0.2085051,0.20557874,0.19696222,0.18745475,0.18016082,0.17543054,0.17247541,0.1704756,0.16775112,0.16163327,0.15071875,0.1382093,0.13067906,0.13335384,0.14511633,0.16019523,0.1729422,0.18185402,0.18793227,0.19134147,0.1903671,0.18443252,0.17637585,0.17088978,0.16950874,0.16933209,0.1660379,0.1590644,0.15134685,0.14576818,0.14147393,0.1356544,0.12713285,0.11861303,0.11384237,0.11421618,0.117696635,0.12207643,0.12722923,0.13481052,0.14474583,0.15471326,0.16125005,0.16361903,0.16360204,0.16460913,0.16819417,0.17383748,0.1792381,0.18216531,0.18134917,0.17706962,0.1714498,0.16717672,0.1662703,0.16840953,0.17187537,0.17419356,0.17388932,0.17071848,0.16609532,0.16198838,0.15974785,0.1597106,0.16185458,0.1665681,0.17365211,0.18086226,0.18381743,0.17870472,0.16609888,0.15215111,0.14512436,0.14934786,0.16176577,0.17481655,0.18225677,0.1828482,0.1784726,0.17120795,0.16283087,0.15658443,0.1566038,0.16633326,0.18783842,0.22428517,0.27623543,0.33580127,0.38442707,0.40389395,0.39076975,0.35644928,0.31864297,0.2867472,0.264989,0.25236863,0.24924672,0.25271693,0.2593911,0.265227,0.26851216,0.2698286,0.2709769,0.27391863,0.27905378,0.2856423,0.2932481,0.30251345,0.31329122,0.3222829,0.32378092,0.31535947,0.2996101,0.2832348,0.2699714,0.25997707,0.25108954,0.243487,0.24002309,0.24316813,0.25226858,0.26293567,0.27101132,0.27490154,0.2759206,0.2749082,0.27079836,0.26131642,0.2464425,0.2291302,0.21408696,0.20344287,0.19537045,0.18506342,0.1697322,0.15109009,0.13464972,0.12505682,0.12380201,0.12937038,0.13903554,0.14861344,0.15291376,0.1487074,0.13840346,0.12991057,0.13051115,0.14245826,0.16269346,0.18838798,0.21695282,0.24397886,0.26035306,0.26087508,0.25218877,0.25437152,0.2814913,0.32731614,0.36291933,0.36439,0.32941106,0.28027025,0.23832239,0.21279562,0.20165503,0.20699437,0.23636813,0.2887183,0.34476447,0.3734713,0.36299828,0.33149853,0.31472695,0.3298844,0.36374453,0.38783708,0.38521364,0.35962906,0.3262193,0.29777107,0.2802522,0.27306047,0.27343002,0.27722833,0.28144398,0.2840842,0.28458333,0.28271183,0.278064,0.27016726,0.26008007,0.25141957,0.25004148,0.25918663,0.27596244,0.29048464,0.2936986,0.28297427,0.26406175,0.2440468,0.22704059,0.21280439,0.20075701,0.19173606,0.18768786,0.18899505,0.19330215,0.1971003,0.19819368,0.19668984,0.19312431,0.18705799,0.17832412,0.16908686,0.16461776,0.16862266,0.18023275,0.1922406,0.19750996,0.19266993,0.18083306,0.16694511,0.15516014,0.1471621,0.14357512,0.14431198,0.14731197,0.14873493,0.1446187,0.13495214,0.12364393,0.115951054,0.113907374,0.11709956,0.12558377,0.14291888,0.1705407,0.20302553,0.2260853,0.22820584,0.20797603,0.17628638,0.14522874,0.12128296,0.104243465,0.093042545,0.09005367,0.09868061,0.118962646,0.14334834,0.16171837,0.16775747,0.16410908,0.15792073,0.15507536,0.15944032,0.17655675,0.2162729,0.2796717,0.35301688,0.40656972,0.42184553,0.4002254,0.36464378,0.3337121,0.3148581,0.3032285,0.29425928,0.2865815,0.28172326,0.2807721,0.28382957,0.29023746,0.29915702,0.30881503,0.31730855,0.32384095,0.33055303,0.34152624,0.35842142,0.37779975,0.3912715,0.39270607,0.38176987,0.3646985,0.34849867,0.33771205,0.33288088,0.3318395,0.33145878,0.32998875,0.32819134,0.32783985,0.3291578,0.32973328,0.32733425,0.32178125,0.31559685,0.3107327,0.30778244,0.30584434,0.30478024,0.30485678,0.30664524,0.30944526,0.3121569,0.31298324,0.31110886,0.3064814,0.3007333,0.29594687,0.293896,0.29421416,0.294494,0.29151472,0.28422415,0.27442133,0.265523,0.25939524,0.2572311,0.2607831,0.2744274,0.29763535,0.32256112,0.3336221,0.32539824,0.30766204,0.3036989,0.3231163,0.35530114,0.37211618,0.35911253,0.3203756,0.27765033,0.244774,0.22755913,0.22391476,0.23739786,0.26980028,0.31539813,0.35451564,0.36989045,0.36077163,0.34898868,0.35468733,0.38009548,0.40338752,0.40587088,0.38311973,0.35009682,0.32095835,0.30373907,0.2965858,0.2953173,0.2955384,0.29452994,0.2914475,0.28690144,0.28243625,0.27905846,0.2769682,0.275887,0.27680042,0.28215957,0.29544458,0.3155589,0.33592662,0.34459963,0.33579576,0.3123413,0.28615916,0.26637724,0.2565758,0.25420633,0.25619197,0.26037714,0.26506665,0.2688142,0.27032974,0.27024248,0.27038932,0.27300325,0.27872726,0.28600588,0.29228768,0.29538786,0.2950057,0.29188633,0.28698704,0.28056338,0.27257726,0.26373294,0.25543866,0.24931693,0.2454163,0.24223919,0.23757641,0.23022498,0.22045732,0.20895964,0.19680607,0.18526226,0.17687349,0.17345284,0.17531736,0.18184155,0.1946943,0.21825671,0.25203037,0.28567362,0.30112335,0.2917591,0.27010676,0.2628998,0.28314856,0.3216752,0.35129714,0.35439003,0.32856238,0.28819415,0.247163,0.21679585,0.19966973,0.19443838,0.19567026,0.19809671,0.19733036,0.19123352,0.1806613,0.1688459,0.15939552,0.15311773,0.14831583,0.1432086,0.13865326,0.13685323,0.13762845,0.13667327,0.12904008,0.11519724,0.10230244,0.09858794,0.10582774,0.11832837,0.12832235,0.13219373,0.13124019,0.12856418,0.12597972,0.12348658,0.12050093,0.11663345,0.11195103,0.10652768,0.10064218,0.09496833,0.09082803,0.08940858,0.09079832,0.09338216,0.09510387,0.09526812,0.09564749,0.09874764,0.10548278,0.11372319,0.120277636,0.12311099,0.12308323,0.1223343,0.122364424,0.12180477,0.11699959,0.10429453,0.08327297,0.058133874,0.035770167,0.02260623,0.021726266,0.032365654,0.05050732,0.070590965,0.08795005,0.10060438,0.10973566,0.11742062,0.124709226,0.13043384,0.1328862,0.13105382,0.12561537,0.11780089,0.10891497,0.09991708,0.091949284,0.08601168,0.08274314,0.08215337,0.08448797,0.08992072,0.09823666,0.10725889,0.11431881,0.117202245,0.11602494,0.11173645,0.10622424,0.10130063,0.098801546,0.098314635,0.09767754,0.09529048,0.093443595,0.09674132,0.107140146,0.12088284,0.1314405,0.13530622,0.13440521,0.13311131,0.1341116,0.13681631,0.13908364,0.13909626,0.13624115,0.1308485,0.124028705,0.11724839,0.11188074,0.10830399,0.1060879,0.104476124,0.10327699,0.10255047,0.10217837,0.10174045,0.10107544,0.10053176,0.1003698,0.10010015,0.098648585,0.09545859,0.09140564,0.088607736,0.08916718,0.093653105,0.10056669,0.10696625,0.11020863,0.10913551,0.10470729,0.09918245,0.094780624,0.09173433,0.08783572,0.08057523,0.07039174,0.061471105,0.05821764,0.06176883,0.0698336,0.07999087,0.09099082,0.102025576,0.111324646,0.1173655,0.1198333,0.11984243,0.118513785,0.11649072,0.11331738,0.10766244,0.09778705,0.08339202,0.06691025,0.052932423,0.046084642,0.048298616,0.05812641,0.07058433,0.07948577,0.07970809,0.0709034,0.05788864,0.048699547,0.048746813,0.05819202,0.07201793,0.085168205,0.094483346,0.099666275,0.100500464,0.09645014,0.08644708,0.07086442,0.053136572,0.039603528,0.03675213,0.0472889,0.06919142,0.09835496,0.13117246,0.16549085,0.19775213,0.2243256,0.24222131,0.25429928,0.26635942,0.2846006,0.3069563,0.32463476,0.3272607,0.31492707,0.2980635,0.28915334,0.28969982,0.2911739,0.28601423,0.2771258,0.27410874,0.2801518,0.2876015,0.284716,0.2680465,0.24454385,0.22378552,0.21067084,0.2046516,0.20568168,0.21506077,0.23216343,0.2507005,0.26163247,0.26102653,0.25250363,0.24350195,0.23663636,0.22975163,0.22072004,0.21276711,0.21095242,0.21537228,0.21993928,0.21838282,0.21077128,0.20297398,0.19928478,0.19951487,0.19944255,0.19866228,0.19942951,0.20548542,0.21480608,0.22264312,0.2248531,0.22291785,0.22105145,0.22112715,0.22113125,0.21818615,0.21337657,0.2108999,0.21355252,0.21945702,0.22325139,0.22166087,0.21520281,0.20735236,0.20016676,0.19464527,0.19221373,0.19625872,0.20898396,0.22787017,0.24576603,0.2556924,0.25555977,0.2487846,0.24002464,0.2322156,0.22589141,0.22222258,0.22303842,0.22933526,0.2382911,0.24408908,0.24109513,0.22763033,0.20695077,0.18503696,0.16734146,0.15669645,0.15349452,0.15643473,0.16283149,0.16944619,0.17463906,0.18026318,0.19013818,0.20570926,0.22344053,0.23688228,0.24160999,0.23735447,0.22660811,0.21169727,0.19513656,0.1814069,0.17701662,0.18635453,0.20657675,0.22782446,0.23862742,0.23342584,0.21476917,0.19072263,0.16978191,0.15746336,0.15596367,0.164171,0.17867023,0.19351391,0.20313768,0.20513868,0.202536,0.2010678,0.20420803,0.21062516,0.21589768,0.21736695,0.21480966,0.20950635,0.2021343,0.19580962,0.1960562,0.20819123,0.23092599,0.25689128,0.27796957,0.29040372,0.2941117,0.28948298,0.27761802,0.26213294,0.24890496,0.24237935,0.24248934,0.24574693,0.24845779,0.24955404,0.25050542,0.2529966,0.2572107,0.2611436,0.26351348,0.2650256,0.268017,0.27254704,0.2746799,0.27019587,0.2597541,0.25133288,0.2531284,0.26684418,0.28447756,0.2958373,0.29525986,0.28561285,0.2733933,0.26582026,0.2686747,0.2893838,0.33166492,0.38978598,0.4430871,0.4690809,0.45795408,0.42133066,0.3801751,0.35134363,0.3406094,0.34603322,0.36122,0.3769277,0.38454214,0.38115212,0.37087062,0.36068913,0.35399437,0.34968242,0.34439263,0.33811828,0.33461145,0.3397355,0.35331646,0.3678044,0.37043762,0.35534462,0.325847,0.29275754,0.26383564,0.24223207,0.22736184,0.21945238,0.21908444,0.22598921,0.23724557,0.2486773,0.25637972,0.25952908,0.25969526,0.25976932,0.26144484,0.26479384,0.26889193,0.27191553,0.27225348,0.2684485,0.26089844,0.25103396,0.24076404,0.23119438,0.22304328,0.22026628,0.23122942,0.26752582,0.3294377,0.40051183,0.44935057,0.4566106,0.42582563,0.38234067,0.34780458,0.33078846,0.327665,0.3350717,0.35142395,0.37318113,0.3905376,0.39425597,0.38509429,0.3794526,0.39374557,0.43020037,0.46638393,0.4784602,0.45544088,0.4125267,0.37013173,0.34437367,0.33540785,0.33685943,0.3396703,0.33940253,0.33621874,0.33589482,0.34699985,0.37832296,0.428735,0.4849706,0.5222278,0.5265193,0.5010978,0.4691861,0.4491389,0.44799724,0.4577929,0.47055984,0.48112652,0.48868966,0.49151096,0.4875953,0.47586986,0.4581183,0.43779242,0.41804954,0.40175653,0.39195153,0.392378,0.40326813,0.4184833,0.42565235,0.41346177,0.37905326,0.3294245,0.27653524,0.22972475,0.19408552,0.1714394,0.16279836,0.16693114,0.17879535,0.19129263,0.19928364,0.20349051,0.20762813,0.21372913,0.21777105,0.21407367,0.20158331,0.18909065,0.18786575,0.20321275,0.22756521,0.24941091,0.26143435,0.2667624,0.27074376,0.27591446,0.28230458,0.2955172,0.32773992,0.38329569,0.44929,0.49709335,0.5098066,0.49095368,0.46323153,0.44329533,0.4374132,0.44175205,0.45304003,0.46657705,0.4747642,0.46734452,0.44186196,0.40903,0.39156643,0.4029332,0.4390407,0.47535443,0.4942161,0.49090657,0.47889748,0.46879935,0.46660045,0.4692088,0.47207764,0.46976718,0.45898268,0.4402647,0.41957602,0.407681,0.4160852,0.44516635,0.4805436,0.49683964,0.48120806,0.44046,0.39735475,0.36873138,0.357882,0.35729232,0.35818586,0.3558195,0.34915602,0.33978343,0.33013475,0.32253397,0.31841156,0.31733763,0.3176115,0.31838503,0.32195234,0.3333268,0.35317525,0.37460804,0.38312924,0.36985752,0.33573818,0.293098,0.25328147,0.22315113,0.20340765,0.19351184,0.19258648,0.19867612,0.20761216,0.2132603,0.21028237,0.19768715,0.18014483,0.16532157,0.15804422,0.15794079,0.16231906,0.17086373,0.18546326,0.20544644,0.22526126,0.2384877,0.24312727,0.24235731,0.23998992,0.23916067,0.2447557,0.2661229,0.3110882,0.37439287,0.43518853,0.46754587,0.46222576,0.42971143,0.39225754,0.3633939,0.3472171,0.3417085,0.34766468,0.36353505,0.3826419,0.39300525,0.39004827,0.3815371,0.3843331,0.40472475,0.4324058,0.4461732,0.43682674,0.4116558,0.38854298,0.3772446,0.37755477,0.38275424,0.38847694,0.39296722,0.39510003,0.39443573,0.39410314,0.40239725,0.42728493,0.46493414,0.49985185,0.5130336,0.5014778,0.47590792,0.45333552,0.4402775,0.43525696,0.4333342,0.4329162,0.43442723,0.43763193,0.44093952,0.44213924,0.44103166,0.439209,0.43915293,0.441669,0.4463831,0.45239618,0.45987892,0.46751523,0.47255704,0.47049794,0.46084836,0.44690108,0.43522942,0.42917466,0.4288808,0.43372318,0.4454215,0.46730164,0.49424648,0.5141147,0.51008135,0.48125258,0.43904817,0.40404555,0.38419154,0.37745595,0.374629,0.37162828,0.368997,0.36923313,0.37289587,0.3780085,0.3826443,0.38577214,0.38770247,0.38858342,0.38985562,0.3954632,0.412268,0.44279644,0.4792091,0.503088,0.49969766,0.4697543,0.4297477,0.39777252,0.38146642,0.37838796,0.38264742,0.39210746,0.40527582,0.42055786,0.433062,0.43995848,0.44070753,0.43791464,0.4345527,0.43226466,0.43194672,0.43178907,0.42963234,0.42331958,0.41419935,0.405668,0.40198502,0.4064536,0.42036346,0.44258952,0.469051,0.49694028,0.524957,0.55255884,0.5720607,0.57209206,0.54341924,0.49108163,0.42924607,0.37485602,0.33596686,0.31496668,0.31028414,0.31973195,0.337994,0.35635677,0.3675801,0.36924645,0.3648795,0.35776934,0.3488486,0.33839333,0.33075166,0.33358443,0.35099122,0.37641534,0.39475575,0.39197397,0.36668482,0.3292938,0.29410848,0.26839194,0.25180867,0.24071454,0.23370095,0.23177224,0.23606688,0.24498387,0.25447762,0.2594427,0.2577764,0.25104162,0.24437292,0.24205656,0.24575514,0.25353256,0.2621924,0.26861012,0.27061343,0.2672701,0.2591385,0.24835254,0.23727073,0.22786601,0.22388023,0.23267603,0.26479664,0.32123646,0.38784608,0.4357128,0.4458491,0.42001724,0.3815664,0.35174644,0.33960533,0.34125033,0.35154715,0.36672747,0.38198373,0.38867688,0.38156247,0.36672318,0.36341807,0.38534382,0.42875257,0.46704793,0.47739056,0.4521235,0.40751305,0.3631294,0.33377528,0.32155338,0.32172444,0.3271992,0.3324496,0.33593044,0.3395916,0.34923306,0.37284872,0.41326705,0.46274915,0.5013059,0.512682,0.49458215,0.46273437,0.43527052,0.4226475,0.42323545,0.43074766,0.4394151,0.44658062,0.45116124,0.45246994,0.45015904,0.44406405,0.43466166,0.4225231,0.41028824,0.40218028,0.40262714,0.410935,0.4199481,0.41915753,0.40280178,0.37389663,0.34157205,0.31376472,0.29296848,0.27710164,0.2630531,0.24898173,0.23488384,0.22130084,0.20769112,0.19234776,0.17537509,0.16058202,0.15307494,0.15335561,0.15742958,0.16127937,0.16658652,0.17662996,0.19173674,0.20681788,0.21735597,0.22286944,0.22660165,0.23129179,0.23679893,0.24121946,0.24250217,0.24022458,0.23474972,0.22707973,0.21786143,0.20791483,0.19797586,0.18827617,0.17833173,0.16777468,0.15836127,0.15375292,0.15724428,0.16854016,0.18348692,0.19658655,0.20417233,0.20620911,0.20575567,0.20686017,0.21174496,0.21942018,0.22705899,0.2327425,0.23730661,0.2433548,0.25268644,0.2645744,0.27610168,0.28467968,0.28979266,0.29578486,0.3104578,0.34382287,0.3947084,0.44903648,0.47902408,0.46992862,0.4254749,0.37134752,0.3282338,0.30569085,0.29813838,0.29879996,0.3033316,0.31191173,0.3250258,0.34163284,0.3585411,0.37293792,0.3838713,0.39255723,0.40054974,0.40928474,0.41978082,0.43042174,0.4354674,0.4258246,0.39723876,0.35416225,0.30905846,0.2720029,0.2451542,0.22260861,0.19885506,0.17492151,0.15881266,0.15764652,0.17077316,0.18916978,0.20383185,0.21180616,0.21649043,0.2205779,0.22406642,0.22568081,0.22747529,0.2320512,0.23962963,0.24526201,0.24368949,0.2323693,0.21473949,0.19817515,0.19325413,0.2101282,0.25570893,0.32788014,0.41273603,0.48647562,0.52702445,0.5262468,0.49462655,0.4520323,0.4153973,0.39259478,0.38513708,0.3918852,0.40635204,0.41593945,0.405979,0.3759216,0.34345254,0.33560243,0.36101666,0.4025072,0.42833388,0.42459586,0.40080357,0.38048097,0.3746089,0.38119388,0.38991025,0.39614156,0.3998187,0.4040065,0.41061768,0.42092612,0.43707868,0.46152043,0.49056575,0.5109513,0.50413316,0.46376655,0.40137818,0.34120002,0.30028173,0.2823058,0.27967215,0.28434625,0.29143748,0.29876295,0.30443454,0.30705714,0.307737,0.3101846,0.31733096,0.3276193,0.3359767,0.339913,0.34413603,0.3548595,0.3724041,0.38629612,0.38709962,0.37273768,0.35225534,0.33381805,0.3209069,0.313612,0.3154082,0.3348792,0.37205562,0.41467795,0.43665147,0.42497787,0.38391116,0.33767572,0.30414274,0.29013848,0.2886388,0.29217097,0.29740718,0.30638686,0.32217723,0.34403548,0.3669887,0.38415027,0.39142755,0.3887771,0.38135043,0.3777115,0.38834628,0.41629067,0.45243657,0.47569266,0.46983543,0.43439558,0.38592383,0.34267637,0.31389365,0.29977962,0.29839155,0.31065336,0.33388782,0.36014187,0.37514353,0.37215713,0.35324407,0.33010805,0.31059626,0.297457,0.287209,0.2773409,0.2680554,0.263236,0.26670697,0.27849218,0.29356936,0.30550322,0.3107749,0.31014273,0.3061038,0.3005521,0.29377976,0.2843729,0.270139,0.2495169,0.22463323,0.2005636,0.18340613,0.17534883,0.17429878,0.17499991,0.17367865,0.17008959,0.16743429,0.16955803,0.17786105,0.19052513,0.20283502,0.2105238,0.2116468,0.20851897,0.20520663,0.2053551,0.20926899,0.21449353,0.21732871,0.21546626,0.20933641,0.20135224,0.19416325,0.1891232,0.18634999,0.18557124,0.1860112,0.18698084,0.18740831,0.18695231,0.1851054,0.18185656,0.17768945,0.17383681,0.17141914,0.17025918,0.17033905,0.17278288,0.18045475,0.19490612,0.21456681,0.23493433,0.25155625,0.26274058,0.26964164,0.27472222,0.2791226,0.2818577,0.27990773,0.27096245,0.25532833,0.23701231,0.22067778,0.20952149,0.20422427,0.20473213,0.21005273,0.21739273,0.22226304,0.22158815,0.21605611,0.20931177,0.20403822,0.19987011,0.19424416,0.18546236,0.17419475,0.1627108,0.15307349,0.14645557,0.14364399,0.14559378,0.1523148,0.16212958,0.17152382,0.17754523,0.17856835,0.17458475,0.16511591,0.15018994,0.13165063,0.11483702,0.1057991,0.107407756,0.11760964,0.1315431,0.14521325,0.15646245,0.16428797,0.16786389,0.16715689,0.16429247,0.16250226,0.16432856,0.1686428,0.17281668,0.17469431,0.17560291,0.17732799,0.18100977,0.18534236,0.18990214,0.19502974,0.20217277,0.21022396,0.21615194,0.21590866,0.20816334,0.19398393,0.1763314,0.15855183,0.14473854,0.1388912,0.14287977,0.15482914,0.16924156,0.17987414,0.1828707,0.17947751,0.17535587,0.17673075,0.18505742,0.1956585,0.20132501,0.19835879,0.18875982,0.17806846,0.17104131,0.16908334,0.17041159,0.17147295,0.16949011,0.16385396,0.15756716,0.15596114,0.1644456,0.1847716,0.21375443,0.24483283,0.2715782,0.2897487,0.29679337,0.2910724,0.27313563,0.24783428,0.22432645,0.2115831,0.21411192,0.22890854,0.24817908,0.26219,0.26512218,0.25673655,0.24253881,0.22876756,0.21879901,0.2120887,0.2060435,0.19847089,0.18807113,0.17523009,0.16142726,0.14879304,0.13830455,0.12980835,0.12339891,0.120871924,0.1240932,0.13213778,0.14080678,0.1467387,0.15102257,0.15783484,0.16888075,0.18044911,0.18725622,0.18786316,0.18651606,0.18844883,0.19593394,0.20672886,0.21670389,0.22183122,0.21986079,0.21078573,0.1967813,0.18188854,0.17066483,0.1668933,0.17135863,0.18135417,0.19176866,0.19830956,0.19963151,0.19718027,0.19291955,0.18761139,0.18144105,0.17565824,0.17301269,0.17530279,0.18149672,0.18828194,0.19327085,0.19618909,0.19745247,0.19641256,0.19198835,0.18493122,0.17802833,0.17417623,0.17354254,0.17313103,0.1696582,0.16304423,0.15761614,0.15780424,0.16404629,0.17191179,0.17676876,0.1772239,0.17535229,0.17391779,0.17469908,0.17785089,0.18182622,0.18380193,0.18102987,0.17297189,0.16175796,0.15166278,0.14675808,0.1488546,0.15605901,0.16396397,0.16898774,0.17066284,0.17128438,0.17276911,0.17508315,0.17656142,0.1762399,0.17450319,0.17298692,0.17300536,0.17568485,0.18167622,0.19215812,0.2078924,0.22880875,0.25234312,0.27423155,0.29014978,0.29855657,0.30111685,0.30106583,0.30064452,0.3001053,0.29828918,0.29446456,0.28913623,0.28452873,0.2825624,0.28360608,0.28537977,0.28492638,0.28097823,0.2754034,0.27207327,0.27350366,0.2790278,0.2852173,0.2894763,0.2916542,0.29332045,0.29444897,0.29272893,0.28553006,0.27332434,0.26019856,0.25125328,0.24938667,0.25365636,0.2605722,0.26536813,0.26457745,0.2570233,0.24497823,0.23208265,0.22153907,0.21469289,0.21210277,0.21402358,0.22006099,0.22792058,0.2340951,0.2352099,0.23024021,0.22055781,0.20965242,0.20113407,0.19734251,0.19776072,0.1993993,0.19848467,0.19360371,0.18667479,0.18166472,0.18057896,0.18222392,0.18320447,0.18147779,0.17725845,0.17208247,0.16674305,0.1610369,0.15530121,0.15143628,0.15236135,0.15931845,0.17087173,0.1835152,0.1941787,0.20115499,0.2040028,0.20281534,0.19845964,0.19350739,0.19239283,0.19945747,0.21583426,0.23739155,0.25654274,0.26538587,0.25970307,0.24140131,0.22141932,0.21716161,0.24316816,0.2955761,0.35005045,0.37503055,0.3579136,0.31029382,0.25743023,0.21501608,0.18577433,0.16527987,0.1534403,0.15311688,0.16511051,0.18306695,0.19760738,0.20195536,0.19663255,0.18624288,0.17635672,0.1714363,0.17689426,0.19781213,0.23285222,0.27054158,0.2927655,0.28908086,0.2629863,0.22972994,0.20255975,0.18686312,0.1805846,0.18060678,0.18530051,0.19350642,0.20245337,0.20818037,0.20847999,0.20565379,0.2047791,0.2094553,0.2178453,0.22469878,0.22584595,0.22147916,0.21442081,0.20660233,0.19839217,0.19051953,0.18589611,0.18731356,0.19396515,0.2009995,0.20312749,0.20011123,0.19591385,0.19550441,0.19854121,0.20180231,0.20179878,0.19973586,0.19847888,0.20077325,0.20790261,0.2221303,0.24597692,0.27803382,0.31030595,0.33291614,0.34336898,0.3504988,0.3637598,0.38253844,0.3913523,0.37733784,0.33943763,0.29348448,0.25451794,0.23040181,0.21965219,0.22192799,0.24073653,0.27512154,0.3149103,0.34104648,0.34661818,0.34048522,0.34265515,0.35887793,0.3762901,0.37431598,0.3456796,0.30126545,0.25841194,0.22740124,0.20845675,0.19708957,0.19104113,0.18912517,0.19050503,0.19110692,0.18824364,0.18169768,0.17526467,0.17164977,0.17165314,0.1761787,0.18958367,0.21564098,0.25034422,0.2795863,0.28864083,0.273642,0.24444802,0.21551122,0.19518243,0.18314864,0.17577489,0.17191112,0.17297745,0.1780961,0.18197,0.17828375,0.16694467,0.1551044,0.15107125,0.15645202,0.16581039,0.17389126,0.18204646,0.19736053,0.22477959,0.26152745,0.29775077,0.32393208,0.3350785,0.33194646,0.31694037,0.29384685,0.26699388,0.24197964,0.22258793,0.20875967,0.1966213,0.18287432,0.16928405,0.16274168,0.16947001,0.18975079,0.21835779,0.2504526,0.28281876,0.31065992,0.32408386,0.31727684,0.29796493,0.28931496,0.3077296,0.34765396,0.37930956,0.3794752,0.34659258,0.30303907,0.26792565,0.24762279,0.23440428,0.22130613,0.20549197,0.18867467,0.17122503,0.15549296,0.14861387,0.16652666,0.21723533,0.2902241,0.35050693,0.36884013,0.3385837,0.2834237,0.22993676,0.19378443,0.17409243,0.16570462,0.16490169,0.17025131,0.17969072,0.18870372,0.19259323,0.1893859,0.18188488,0.17558752,0.17597951,0.1871897,0.21204937,0.24800678,0.28481004,0.30551496,0.2998059,0.27073866,0.23476754,0.20694421,0.1931224,0.18924224,0.18959802,0.19227552,0.19705898,0.20228691,0.20203035,0.19311023,0.17817293,0.166542,0.16520838,0.17416416,0.18673109,0.19632097,0.20099938,0.20258223,0.2029698,0.20207953,0.199591,0.19657649,0.19455595,0.19336738,0.19108176,0.18668537,0.18181793,0.179627,0.18153287,0.18573838,0.18893395,0.18959837,0.18945289,0.19203721,0.19943811,0.2116273,0.22737668,0.24734597,0.27018726,0.29054,0.29747948,0.28846237,0.27518836,0.28105414,0.31582662,0.36452794,0.39425883,0.3847119,0.34220603,0.29228738,0.25515318,0.23573525,0.23083715,0.24188893,0.27348587,0.32116297,0.36634907,0.3890578,0.3867438,0.37601808,0.37412012,0.3809377,0.3798916,0.35825834,0.31835973,0.2766727,0.24734817,0.23656593,0.24114446,0.25492606,0.27044597,0.279896,0.2771856,0.26023248,0.23414426,0.2080183,0.19122684,0.18731616,0.19584776,0.21446061,0.24362409,0.28023577,0.3155159,0.3327769,0.32255933,0.28823543,0.2476682,0.21653713,0.2010533,0.1967264,0.19786249,0.20229737,0.20982778,0.21867417,0.22350056,0.22054052,0.21036708,0.19867152,0.19015421,0.18561757,0.18286149,0.18133949,0.18329692,0.19064462,0.20112883,0.20869607,0.20746343,0.1966601,0.18143226,0.1699936,0.16781896,0.17497523,0.18735535,0.200116,0.20956735,0.21275836,0.20875871,0.19966371,0.1908223,0.18688785,0.18912923,0.19682808,0.21076995,0.23524825,0.26973817,0.3050113,0.32351258,0.31947848,0.30619645,0.31037274,0.34175625,0.3827368,0.40009046,0.37861386,0.3312335,0.2871448,0.2643057,0.26389635,0.2775267,0.30291966,0.33963013,0.38251507,0.41533288,0.4265202,0.4192084,0.4119412,0.41723856,0.43051365,0.4344153,0.418098,0.3859544,0.35147104,0.32549247,0.31051812,0.30434155,0.30385622,0.3079495,0.31636783,0.3289053,0.34395897,0.35887852,0.37057367,0.37742087,0.3789651,0.37751195,0.37613508,0.37924194,0.38601264,0.39093426,0.3836287,0.36038586,0.3249524,0.28761077,0.25445762,0.22741194,0.20645662,0.1945892,0.19516762,0.20802148,0.2276048,0.24716644,0.26291552,0.27586496,0.28832778,0.30149886,0.31381926,0.32346,0.32907417,0.33156338,0.33278295,0.33558026,0.34159434,0.34979853,0.355438,0.35223463,0.3375559,0.31562045,0.29565993,0.28553054,0.2864612,0.29390654,0.3012103,0.30456543,0.30354956,0.3007578,0.2986238,0.2979528,0.29798004,0.29911104,0.30427137,0.3153497,0.32983705,0.3418081,0.35039115,0.36282876,0.38641346,0.41772404,0.43938884,0.4371039,0.40935686,0.37221208,0.3407326,0.3219938,0.3124881,0.31097272,0.32220235,0.35030007,0.38897082,0.42064187,0.4327033,0.4282678,0.4229432,0.4264349,0.43386614,0.43422973,0.42468992,0.41294596,0.40761188,0.40930262,0.41297638,0.4138589,0.41175225,0.40834448,0.40465412,0.39971754,0.3924395,0.38304034,0.37311444,0.3639587,0.35636666,0.35178706,0.35365686,0.3646635,0.38288447,0.40051565,0.40903318,0.40543666,0.3936877,0.38043225,0.3697603,0.36263898,0.35861197,0.3576716,0.35929263,0.36178586,0.36257076,0.3597497,0.3534114,0.34553504,0.33936,0.33734396,0.34024134,0.34630692,0.35312125,0.35840476,0.36087346,0.35929307,0.35341278,0.34461287,0.3364806,0.33199763,0.33169737,0.3327873,0.33249643,0.32956505,0.32495788,0.31950942,0.31380948,0.30869052,0.3060937,0.3079969,0.31425032,0.32332328,0.33400095,0.34884965,0.36970404,0.39429185,0.41190264,0.41545245,0.40814295,0.40827668,0.42619357,0.45560166,0.47003493,0.4546109,0.41362798,0.37086806,0.34169164,0.32821465,0.32173827,0.31718102,0.31532237,0.31978714,0.33142054,0.34883276,0.37025687,0.39728585,0.4270941,0.45121995,0.45273542,0.423993,0.37001488,0.3111227,0.26447636,0.23852529,0.23007601,0.23299491,0.24211751,0.25461113,0.26847723,0.28156826,0.29252672,0.30138263,0.3092319,0.31654787,0.32342222,0.33098292,0.34257695,0.35983333,0.37966898,0.39368257,0.39633313,0.388199,0.37605405,0.36440396,0.35364375,0.34123948,0.32711282,0.31476334,0.30875596,0.31101415,0.31877184,0.3270876,0.33234015,0.33482838,0.33685753,0.34000286,0.3435757,0.34622416,0.34791902,0.34947434,0.35139894,0.35230216,0.35092914,0.34689614,0.34189546,0.33761868,0.33509338,0.33353063,0.3313527,0.32650134,0.31754258,0.30387858,0.2864537,0.26760116,0.2501986,0.23598313,0.22504371,0.21777683,0.21747698,0.23053521,0.25925097,0.29706308,0.32763588,0.3412632,0.34260216,0.35138246,0.37624803,0.4052916,0.40997836,0.377802,0.32191744,0.2727921,0.24930912,0.25156257,0.26921138,0.29714286,0.33585978,0.38175213,0.42208624,0.44302952,0.44382486,0.43725753,0.43524,0.43507156,0.422381,0.38948128,0.3434535,0.30221117,0.2778614,0.2727795,0.2808818,0.29613426,0.3139802,0.33172175,0.34670833,0.35739222,0.36384895,0.36843213,0.37344602,0.3794665,0.38514712,0.38980308,0.39591503,0.40490127,0.41462532,0.41645208,0.40551996,0.38263908,0.3567678,0.33406234,0.31697273,0.3035004,0.2934468,0.28887773,0.2921423,0.30259582,0.3151491,0.32401013,0.32605255,0.32318023,0.31888115,0.31529534,0.3118646,0.30806553,0.3049109,0.3042672,0.30609393,0.3078461,0.3063657,0.30045402,0.2915744,0.28194126,0.27351907,0.2673142,0.26488838,0.26665273,0.27134505,0.2749447,0.2744983,0.2700481,0.2650914,0.2626756,0.2633556,0.2666292,0.27381685,0.2897826,0.31587508,0.3467388,0.3690137,0.37689805,0.37709722,0.38603547,0.4077492,0.42836246,0.42690992,0.39891946,0.36040473,0.33320907,0.3262097,0.3332071,0.34320375,0.35049406,0.35533842,0.3597789,0.36348307,0.3634641,0.35478058,0.33367726,0.3003354,0.26116458,0.22611906,0.20278132,0.1920163,0.18877178,0.18725757,0.18404733,0.17842358,0.17047183,0.16049558,0.14901191,0.13703753,0.12586601,0.11673268,0.110214464,0.10595909,0.10254658,0.09878514,0.09471125,0.09286368,0.097000755,0.109722555,0.12958716,0.15066229,0.16545707,0.1680298,0.15635996,0.13207932,0.100532174,0.06944487,0.046938498,0.03872795,0.04773948,0.07367537,0.113381736,0.15891565,0.20058042,0.22997864,0.24489559,0.2473796,0.2410565,0.22741264,0.2063909,0.17853029,0.14705886,0.11771508,0.09557014,0.08243848,0.07593777,0.0728932,0.07250804,0.0784472,0.09502704,0.12290653,0.15585776,0.1847745,0.20309538,0.21071254,0.21233161,0.21332657,0.21627776,0.2199889,0.22149883,0.22023435,0.21941753,0.22498178,0.2393192,0.25966626,0.27780247,0.28558683,0.27736148,0.25347346,0.21986927,0.1870888,0.16490452,0.15799822,0.16359746,0.17469583,0.18457253,0.19058119,0.1935877,0.1980853,0.21168946,0.24579418,0.30505854,0.37837338,0.43698648,0.4558362,0.4326475,0.38945052,0.3520238,0.33157194,0.3249371,0.32388866,0.3237754,0.32263327,0.32060373,0.31793156,0.31546676,0.31370386,0.31382045,0.31703115,0.3247695,0.337556,0.35552952,0.37641785,0.39421824,0.39939237,0.38491893,0.3522471,0.3114915,0.2747431,0.24869634,0.2333706,0.22510843,0.22037624,0.21687828,0.2135999,0.21050332,0.20844515,0.20836008,0.2104689,0.21373896,0.21656765,0.21798234,0.21818466,0.21867557,0.22042727,0.2235493,0.22618942,0.22713387,0.22641349,0.22669367,0.23066439,0.2401073,0.25734356,0.28686953,0.3350093,0.39811242,0.4602859,0.49577585,0.49276876,0.4588274,0.41814426,0.38846865,0.37482846,0.37162265,0.37445143,0.38078558,0.38785335,0.38814923,0.3794234,0.36850956,0.3747584,0.40645,0.45260152,0.4800196,0.46807525,0.4212713,0.37030527,0.3393383,0.33397743,0.34203967,0.35150313,0.3568984,0.35821053,0.3559194,0.35263264,0.3546678,0.3726572,0.4090799,0.45358154,0.48282123,0.48254302,0.4552811,0.41997203,0.39147344,0.37471294,0.36590615,0.36241436,0.3639092,0.37041104,0.37941658,0.38692737,0.38979408,0.38746253,0.38096455,0.37138632,0.36028063,0.35126385,0.3501551,0.3585172,0.37038574,0.37233713,0.35587248,0.32249093,0.28440842,0.2525623,0.23150027,0.21850188,0.20990252,0.20416117,0.20176245,0.20290267,0.20611453,0.2092932,0.21120465,0.21229964,0.2135603,0.21533704,0.21722193,0.21915342,0.22198607,0.22625677,0.23094107,0.23342527,0.23235965,0.22902505,0.22684658,0.227615,0.23101033,0.23788436,0.2545455,0.29010513,0.34443626,0.40286073,0.4415536,0.44856063,0.4293299,0.40300658,0.38385484,0.37857997,0.38590088,0.40375343,0.4248049,0.43828368,0.43162265,0.40623537,0.37832072,0.37406883,0.40196618,0.44892892,0.48472014,0.4944115,0.4813095,0.46416867,0.45274806,0.44827893,0.44502187,0.44053587,0.43463442,0.4290712,0.42634407,0.42989945,0.4433749,0.4681526,0.49792066,0.51914954,0.516232,0.4868418,0.44258985,0.40320387,0.37892,0.36928293,0.366744,0.36651054,0.36733732,0.36981818,0.3732325,0.37524104,0.373342,0.36728898,0.35923395,0.35264888,0.34968165,0.35187912,0.36052755,0.3750776,0.39025775,0.39588538,0.3852137,0.35960522,0.32922128,0.30348065,0.28694674,0.27807686,0.27382663,0.27149904,0.26949918,0.26594642,0.25871623,0.24672568,0.23233843,0.22080755,0.21688743,0.22071493,0.22823225,0.23493607,0.23983635,0.24419765,0.24841873,0.24926756,0.24252063,0.22660865,0.20578618,0.18769681,0.18075965,0.19219755,0.22994186,0.2970934,0.38366926,0.46294737,0.5066998,0.5065202,0.47923693,0.45227733,0.44192573,0.4492658,0.46572742,0.48306847,0.49235824,0.48536596,0.45672524,0.41478026,0.38050333,0.37746668,0.40928409,0.4560605,0.4876987,0.49137893,0.47665063,0.46392727,0.4635087,0.47350442,0.48617625,0.49677658,0.5032458,0.50446886,0.5008246,0.49554244,0.49508953,0.50246507,0.5122475,0.5101916,0.48518422,0.4399661,0.39085844,0.35512662,0.33880055,0.3369023,0.34066546,0.34432545,0.34577477,0.34475443,0.3423753,0.3405074,0.3417549,0.34698334,0.35474,0.36164176,0.36656928,0.372664,0.38629448,0.4092903,0.4364984,0.45753625,0.467546,0.4684271,0.46688834,0.4660577,0.46607628,0.4673302,0.47407266,0.49208462,0.51923156,0.5433711,0.5465068,0.5229927,0.4821202,0.44382533,0.41866848,0.4055629,0.39436826,0.37948406,0.36133996,0.3446525,0.33211198,0.3241063,0.32076922,0.32389677,0.33532915,0.35472146,0.38000596,0.41002223,0.4460245,0.48574948,0.5201811,0.5338574,0.5198501,0.4847559,0.44699657,0.4197116,0.4052577,0.39766076,0.39260498,0.39165774,0.39757788,0.41136464,0.4282173,0.44425145,0.45598483,0.4635981,0.46656278,0.465608,0.461913,0.45710132,0.4502916,0.43892205,0.42070246,0.3986682,0.37880528,0.3678917,0.36796352,0.37772414,0.3953214,0.42100573,0.4567062,0.49940404,0.53826773,0.5561311,0.54269105,0.5030002,0.4557171,0.4184754,0.39705744,0.38638029,0.3797479,0.3750514,0.37396201,0.37675083,0.38127896,0.3834939,0.38227856,0.37866822,0.3756067,0.37422243,0.37484658,0.37814602,0.3854314,0.39578143,0.4043347,0.405141,0.39729437,0.38588274,0.3785216,0.37858376,0.3846197,0.39199182,0.39682326,0.3973551,0.39496186,0.3931241,0.39520776,0.4013224,0.40788093,0.4098264,0.40451133,0.39303684,0.37925398,0.36702085,0.357824,0.350432,0.34173417,0.3299512,0.315071,0.29906675,0.2834977,0.27034584,0.26464912,0.27538586,0.31227443,0.37159106,0.4337766,0.46869078,0.46327665,0.42689392,0.38623545,0.35831082,0.34660685,0.34432045,0.34836176,0.35757732,0.3700414,0.3786308,0.3797005,0.37870815,0.39224157,0.42859972,0.47694787,0.5062564,0.4962143,0.45163798,0.40219805,0.3721728,0.36803886,0.37905693,0.39362684,0.4055129,0.41347778,0.41796842,0.42150342,0.42975852,0.45042405,0.48413643,0.52240676,0.54728633,0.5497527,0.53175604,0.5087721,0.49064407,0.48044387,0.47263893,0.46423563,0.45527017,0.44853607,0.44590974,0.4474367,0.4518958,0.45670226,0.45919243,0.4564496,0.44756302,0.43373322,0.41972503,0.40960702,0.40416086,0.39805165,0.38645732,0.36929825,0.3531538,0.34404024,0.34293792,0.3457311,0.34751442,0.345983,0.34065917,0.33294448,0.325039,0.32084846,0.32281002,0.33055162,0.33992288,0.3465934,0.34859028,0.3474265,0.34637332,0.34754106,0.34982538,0.34882042,0.3404367,0.32478338,0.3069143,0.293228,0.28722963,0.2912537,0.30889538,0.3463373,0.4011084,0.45998204,0.5005855,0.51293427,0.50140816,0.48354784,0.47014365,0.46519196,0.4650323,0.46748623,0.46789634,0.46117517,0.44141904,0.41357037,0.3930289,0.40171704,0.4454547,0.50834835,0.5565838,0.56726545,0.540103,0.49755266,0.46183315,0.44336414,0.43819115,0.43830612,0.43803766,0.4350911,0.4290129,0.42200518,0.4207574,0.43459854,0.46372178,0.49610385,0.5111577,0.5016038,0.4747677,0.44857666,0.43167576,0.42507577,0.424492,0.42837515,0.43534663,0.4432554,0.44935706,0.45191702,0.45136097,0.44937077,0.44755122,0.44567135,0.4424512,0.43815684,0.43625507,0.43803003,0.43853286,0.42603004,0.3939999,0.3460139,0.29535574,0.2526125,0.22103237,0.19721867,0.1782769,0.16551793,0.16213073,0.16905463,0.1816657,0.19450994,0.20515688,0.21657665,0.23194458,0.25131682,0.2714635,0.2892003,0.30380917,0.31519184,0.32294074,0.32554993,0.32318804,0.31767544,0.3115249,0.30611253,0.30243933,0.30457518,0.31986645,0.35397425,0.4010519,0.44292104,0.45977843,0.44688037,0.41695166,0.3886232,0.37047705,0.36088753,0.35599992,0.35928524,0.37381402,0.39660168,0.41426507,0.41997457,0.4191762,0.42820024,0.4524593,0.48044577,0.49245867,0.4812927,0.45710763,0.43604037,0.42570138,0.42311135,0.42226127,0.42072627,0.41916835,0.41885218,0.4206116,0.42730343,0.44397783,0.47398385,0.51175505,0.5421297,0.54942447,0.5312056,0.50004494,0.47387078,0.4615523,0.46133605,0.46620953,0.4716417,0.4758246,0.47779548,0.4763113,0.47109747,0.46394622,0.45727518,0.45195064,0.44660434,0.4402393,0.434706,0.43450165,0.4409767,0.44989225,0.45180416,0.44184092,0.42190722,0.40089023,0.38494256,0.37632227,0.37516904,0.38550678,0.4134839,0.45707718,0.50150424,0.5240961,0.5142701,0.4798236,0.442095,0.41639492,0.40556964,0.40235922,0.39965448,0.39429688,0.38676846,0.3785882,0.37100866,0.36432683,0.3575957,0.34901547,0.33672142,0.3226603,0.3142198,0.32500923,0.3616196,0.41607705,0.46170118,0.47581354,0.45301652,0.41181564,0.37372506,0.35104796,0.34239388,0.34304357,0.3507295,0.3633299,0.3759376,0.38049006,0.37425685,0.36059698,0.3477405,0.3403075,0.3393371,0.34265706,0.34886897,0.35729137,0.3681086,0.38104102,0.3945879,0.40652823,0.41535234,0.42096183,0.42366174,0.4223871,0.41492322,0.39837,0.37163007,0.33577573,0.2955153,0.25651857,0.22404188,0.19994946,0.18378584,0.17319612,0.16588025,0.15991952,0.15438837,0.14892806,0.14304538,0.13592464,0.12682267,0.11619649,0.10539171,0.09611509,0.08921357,0.08492559,0.08303983,0.08362531,0.08667076,0.09170399,0.09705699,0.1005119,0.10043511,0.09717814,0.09264631,0.0889982,0.08710527,0.086596556,0.086958796,0.08819601,0.090590514,0.09328541,0.094570845,0.09270826,0.087845825,0.08168327,0.07652916,0.07377633,0.073985614,0.07722639,0.08320404,0.090550505,0.09696544,0.10015714,0.09981096,0.09746953,0.09569547,0.095434256,0.09619046,0.09664153,0.09672192,0.09732065,0.09917811,0.1020216,0.104663044,0.10649777,0.107607014,0.10881194,0.1108174,0.11431915,0.120596014,0.13067664,0.14484715,0.16078895,0.17603765,0.18838614,0.19771652,0.2026317,0.20097063,0.19052286,0.17375076,0.15793347,0.15204974,0.16020595,0.17836006,0.19640303,0.20493095,0.20079358,0.18814063,0.17381625,0.16275175,0.15550421,0.15002872,0.14391856,0.13601938,0.12700361,0.11896473,0.115402184,0.118838824,0.12975186,0.14464904,0.15888035,0.16822915,0.17198353,0.17099132,0.16729271,0.16169403,0.15527089,0.14853422,0.1423928,0.13674659,0.1311088,0.12520687,0.11988043,0.116824694,0.11668768,0.1181102,0.11826093,0.11511717,0.10924078,0.103156485,0.099437304,0.098629534,0.09962746,0.1011342,0.10308226,0.105967484,0.10950848,0.11202243,0.11205652,0.10985064,0.10754138,0.10695248,0.10840938,0.111379825,0.115924895,0.12288759,0.13142473,0.13873233,0.14088361,0.13694437,0.1292667,0.122415,0.11918902,0.11983178,0.12313224,0.12828343,0.13504307,0.141733,0.14565945,0.14418763,0.1381041,0.13072383,0.12650557,0.12750864,0.13387126,0.14416856,0.15670805,0.16792415,0.17334713,0.1697735,0.15936118,0.14855552,0.14437121,0.14904039,0.16010348,0.17303373,0.18510206,0.19545497,0.20352615,0.20752293,0.2049257,0.19456176,0.17812733,0.16038805,0.14706345,0.14193149,0.14591928,0.15729809,0.17361325,0.19072944,0.20451473,0.2111426,0.21041644,0.20464134,0.19800074,0.19348478,0.19218288,0.19356151,0.19640605,0.2001851,0.20380491,0.20620157,0.20552236,0.20169933,0.19593734,0.19107133,0.18866794,0.18917875,0.19152278,0.19513653,0.19924784,0.20317489,0.20533939,0.20472322,0.20168114,0.19841832,0.19718926,0.19820035,0.19955064,0.19915225,0.19694434,0.19437061,0.19263549,0.19115609,0.18859972,0.18450494,0.1802601,0.17788456,0.17848969,0.18195839,0.18738186,0.1936075,0.19849499,0.19996303,0.197034,0.19156826,0.1862132,0.18294899,0.1813566,0.18111031,0.1827013,0.18756826,0.19472815,0.2005137,0.20120986,0.19761185,0.19456822,0.19597882,0.20002455,0.20054601,0.1920811,0.17400306,0.1503057,0.12761618,0.11201897,0.1074546,0.114102066,0.13014287,0.1516148,0.17441835,0.19331102,0.20546667,0.21066813,0.21212296,0.21262914,0.21332867,0.21371777,0.21360815,0.21362965,0.21491754,0.21801732,0.22283275,0.22819251,0.23290409,0.23602742,0.23700553,0.23453246,0.22603188,0.20933892,0.18468212,0.15618621,0.12943868,0.108847834,0.095084585,0.08632589,0.08007618,0.0752317,0.07192638,0.07074046,0.07170256,0.07411864,0.077139266,0.08035625,0.08432428,0.0897111,0.09659511,0.10339898,0.10797831,0.10853675,0.105282605,0.09998814,0.09523472,0.09254513,0.09177535,0.09172257,0.091615744,0.09185002,0.09301636,0.094961874,0.09679628,0.09816102,0.099701084,0.102284916,0.1059252,0.10976443,0.11324838,0.11645889,0.11960199,0.12189234,0.12235779,0.12100052,0.119531274,0.11995751,0.12294475,0.12742949,0.13166238,0.13458404,0.13598363,0.13593483,0.13416153,0.13031517,0.12485049,0.1194761,0.116365105,0.11662274,0.11954364,0.12367197,0.12812315,0.13298213,0.13794683,0.14183216,0.14305466,0.14134504,0.13805424,0.13518162,0.13376297,0.13330795,0.13287167,0.13201933,0.13122994,0.13122809,0.13332035,0.14016111,0.15518788,0.18021208,0.2122153,0.24462855,0.27051976,0.28722104,0.29514417,0.29635465,0.29143068,0.28132054,0.26746795,0.25336942,0.24238294,0.23695046,0.23680067,0.23986433,0.24366027,0.24704666,0.25023234,0.2535422,0.25671065,0.25899646,0.26008132,0.25995937,0.25909314,0.2576476,0.25614038,0.25448725,0.25288343,0.25054413,0.24678476,0.2403651,0.23121458,0.22053705,0.2108364,0.20421356,0.20101337,0.2005095,0.2018946,0.205247,0.21004164,0.21499586,0.21831857,0.21940483,0.21861713,0.21664858,0.21362603,0.20943184,0.2042464,0.19857688,0.19305754,0.1876827,0.18218392,0.17626357,0.17077138,0.16733693,0.16740613,0.17115642,0.17740697,0.18530293,0.19425602,0.20462589,0.21592812,0.22776143,0.23825411,0.24500914,0.2447402,0.23600972,0.22042184,0.20290537,0.18910213,0.18238407,0.18230595,0.18511645,0.18660243,0.18426277,0.17887016,0.17304142,0.16998273,0.17170967,0.17895277,0.19064821,0.2040698,0.21526855,0.22101627,0.2206999,0.21701455,0.21348868,0.21158285,0.20870733,0.20104079,0.18671106,0.16859646,0.15159349,0.1397208,0.13334401,0.13092117,0.13077618,0.13250524,0.13621342,0.14192529,0.14999609,0.16080248,0.17427988,0.18807256,0.198826,0.20350838,0.2018929,0.19587193,0.18834515,0.18144463,0.17582183,0.17120707,0.16698033,0.16298665,0.15861472,0.1530749,0.1458932,0.13842016,0.13269155,0.1299784,0.12970705,0.13162522,0.13640559,0.14557643,0.15845007,0.17253645,0.18391006,0.19028395,0.19167413,0.19056916,0.19038843,0.19295168,0.1985557,0.2054816,0.21250899,0.21796091,0.22109167,0.22139354,0.21971394,0.21722598,0.21463262,0.2117241,0.20769583,0.20225036,0.19480275,0.18485539,0.17156835,0.15652765,0.14341325,0.13725115,0.1401058,0.15014221,0.1626486,0.17377256,0.18212496,0.18833457,0.19283713,0.19539297,0.19538462,0.19348814,0.19094191,0.1892712,0.18851857,0.18789977,0.18566872,0.1807683,0.17308418,0.1639522,0.15525116,0.14870806,0.14590538,0.14780693,0.15459748,0.16405213,0.17285807,0.17815153,0.180161,0.18136789,0.18408744,0.18855882,0.19295992,0.19613077,0.19821934,0.20069838,0.20373625,0.20600744,0.20503159,0.19953223,0.19020547,0.17974806,0.17099285,0.1656103,0.16327275,0.16276264,0.16276246,0.16298592,0.16379453,0.16623622,0.17081185,0.17697299,0.18250762,0.18478836,0.182287,0.17575766,0.16757743,0.15975945,0.15255369,0.14478256,0.13585472,0.12683879,0.11963429,0.11509923,0.1124414,0.11041816,0.108586974,0.10733556,0.10677901,0.106502175,0.10639387,0.107315056,0.110364,0.11511263,0.11941684,0.12101737,0.11983537,0.11849531,0.120572925,0.12827231,0.14089346,0.15542673,0.16861981,0.17846143,0.1850902,0.18885355,0.19060767,0.19021662,0.18883307,0.18715751,0.1870706,0.18942507,0.19539054,0.2045325,0.21515669,0.22338088,0.22474295,0.217007,0.20218283,0.18602258,0.1733587,0.1654551,0.16076781,0.15872689,0.16089742,0.16784526,0.17719823,0.1843058,0.18668532,0.18497324,0.18175228,0.17859262,0.17566001,0.17277694,0.17006409,0.16778493,0.1651771,0.16092771,0.1533587,0.14226325,0.12941882,0.119100474,0.115393914,0.119545676,0.1287745,0.13865374,0.14637534,0.15161651,0.15555905,0.1592952,0.16354711,0.16859828,0.1740173,0.17932959,0.18442099,0.18997674,0.19589175,0.20086004,0.20295282,0.20185943,0.19917506,0.19747652,0.19790025,0.19989406,0.20154883,0.20191576,0.20136677,0.20170218,0.20379072,0.20697343,0.20901573,0.20844482,0.2054985,0.20198326,0.19953115,0.19846429,0.19806975,0.19741732,0.19622517,0.19451241,0.19248706,0.19018216,0.18736744,0.18339978,0.17745863,0.17025791,0.16431521,0.16340546,0.16880105,0.17852218,0.18787117,0.19360383,0.1951441,0.19456899,0.1938739,0.19401968,0.19451511,0.19463308,0.19339068,0.1897304,0.18215515,0.17067218,0.15823533,0.15117083,0.1547157,0.16932039,0.18907845,0.20701379,0.21907605,0.22612266,0.23004909,0.23150857,0.22930205,0.2229765,0.21421681,0.20577045,0.19932432,0.19449818,0.19224548,0.19647044,0.2123618,0.23935103,0.2694107,0.29158065,0.30060315,0.29876485,0.2922012,0.28467056,0.27702057,0.26836318,0.25945264,0.2516892,0.24697906,0.24500543,0.24449466,0.24341612,0.24182779,0.2407794,0.24196064,0.24560225,0.25206676,0.2616539,0.2751372,0.29054865,0.30440864,0.3121145,0.31279752,0.3076141,0.29967427,0.28946596,0.27674237,0.26093805,0.24417989,0.22939682,0.21907485,0.21381389,0.21416605,0.22074598,0.23362303,0.24975018,0.26410565,0.2720541,0.2724836,0.2680104,0.26263818,0.25958323,0.25964388,0.26237753,0.26661626,0.27112052,0.2742627,0.27461657,0.27189794,0.26755783,0.26347387,0.26071838,0.2578781,0.2533041,0.24606472,0.23802175,0.23103388,0.22624235,0.22337429,0.22354181,0.22890736,0.24092233,0.25678414,0.2709982,0.2783645,0.27816164,0.27246973,0.26417565,0.2541594,0.2430929,0.23255819,0.22585605,0.22511326,0.22916007,0.23313992,0.23231848,0.22542138,0.21545105,0.20584576,0.19765843,0.189526,0.18117638,0.17439826,0.17114224,0.17059307,0.16998343,0.16779155,0.165472,0.16543728,0.16781355,0.17000747,0.1696329,0.16688623,0.16448097,0.16436975,0.16693814,0.17121144,0.17731088,0.18536656,0.1941551,0.19993077,0.19886856,0.19051915,0.17830206,0.16701509,0.15862115,0.15240507,0.14730535,0.14442988,0.14575835,0.15085648,0.1565755,0.15916552,0.15851898,0.15735477,0.15875232,0.16214657,0.16465795,0.16419657,0.16226421,0.162035,0.1645294,0.16733253,0.1670249,0.16257419,0.15554778,0.14788948,0.14061083,0.13425553,0.13024326,0.12968238,0.13209178,0.1347707,0.1354013,0.13394964,0.13272555,0.13351728,0.13572882,0.13726278,0.13745715,0.13824491,0.14220649,0.14929913,0.15674318,0.16150661,0.16343397,0.16433294,0.16568205,0.1665799,0.16545562,0.16199647,0.1578067,0.15449022,0.15198469,0.14922206,0.14579076,0.14299868,0.14208555,0.14259677,0.14229548,0.13948004,0.13493228,0.13116084,0.12998448,0.13087943,0.13438691,0.14633363,0.17840485,0.23681408,0.31316453,0.38312003,0.42550012,0.4343059,0.4221402,0.40379933,0.38844988,0.3772407,0.37005353,0.36668465,0.36626792,0.36639276,0.36479768,0.36086515,0.3554527,0.34994313,0.34526443,0.34190866,0.33959523,0.33790424,0.33705798,0.33797312,0.3416562,0.3475529,0.35479847,0.36254826,0.37083054,0.37827423,0.382957,0.38360107,0.3820049,0.3807907,0.38105285,0.3812352,0.37961796,0.37616065,0.37164426,0.36650226,0.36046895,0.35457897,0.3506935,0.35067376,0.35423943,0.3598212,0.36538827,0.3697754,0.3726395,0.37402526,0.37434372,0.37399355,0.37405363,0.37591922,0.3810201,0.38901293,0.3975589,0.40302494,0.40358523,0.39979148,0.3942373,0.38882372,0.38444224,0.38156858,0.3806809,0.3821489,0.38480124,0.38696828,0.38639438,0.38185254,0.37321368,0.3626107,0.35316017,0.34713462,0.3446885,0.34466112,0.3466353,0.3500942,0.35421407,0.35692433,0.35776225,0.35753313,0.35774675,0.35728362,0.35267794,0.3391616,0.31471348,0.2811156,0.2447601,0.21243905,0.18944657,0.17674196,0.17281549,0.1737001,0.1751798,0.17341404,0.16757153,0.15941836,0.15215981,0.14744163,0.14537328,0.1458935,0.14984016,0.15758288,0.16673817,0.17317839,0.17430891,0.17160422,0.16883893,0.16786607,0.16730218,0.16444367,0.15919094,0.15380806,0.15066886,0.14920455,0.14709969,0.14309444,0.13870847,0.13645309,0.13650785,0.13675176,0.13515055,0.13278979,0.13219716,0.13449024,0.13760741,0.13903074,0.13858849,0.13860315,0.14093114,0.14473473,0.14770822,0.14851163,0.14803267,0.14752714,0.14695258,0.14480735,0.14024282,0.13432343,0.12938893,0.12658446,0.12491027,0.12252494,0.119381964,0.1172789,0.117586106,0.11899879,0.11881467,0.11636707,0.114055544,0.115037195,0.11905077,0.1232088,0.12499678,0.12618813,0.13045777,0.1394617,0.14977165,0.1558759,0.15495127,0.14897482,0.14216661,0.1366474,0.1319737,0.12741095,0.12458845,0.12568676,0.13057248,0.13636641,0.14164977,0.15191875,0.17830646,0.23152049,0.3087512,0.3931223,0.45841113,0.48987332,0.48901808,0.4731022,0.4569238,0.4475377,0.44295564,0.44025263,0.43806446,0.4359888,0.43368742,0.4299587,0.42500448,0.41943455,0.41427395,0.409593,0.40464398,0.3990737,0.39264366,0.38580203,0.37900794,0.3727692,0.36775258,0.3634621,0.3592442,0.35394457,0.3475877,0.34080467,0.3339499,0.32694647,0.31907004,0.31053138,0.30187008,0.2935741,0.2854975,0.276978,0.26804218,0.25904062,0.2505878,0.24285305,0.23564714,0.22891955,0.22253007,0.21635258,0.21008278,0.2035139,0.19685267,0.19021374,0.18360086,0.17669797,0.16925883,0.1612796,0.15262623,0.14319547,0.13285778,0.121946804,0.11113021,0.10092627,0.09143145,0.0821872,0.072796725,0.06317737,0.053559694,0.04428017,0.035522606,0.027550219,0.020582812,0.01485514,0.010371955,0.006988123,0.0044843433,0.0026774176,0.0014474351,0.000684156,0.00028262348,0.00014100374]