[0.036828678,0.07787935,0.1789545,0.32579717,0.47260323,0.5627339,0.55867684,0.47421715,0.35673153,0.25573388,0.19362642,0.17169945,0.18976422,0.25210944,0.35441765,0.4641892,0.53110546,0.51749796,0.4290317,0.30925873,0.20648654,0.14534299,0.12552045,0.14453028,0.20600574,0.30965182,0.42925787,0.5167621,0.52971286,0.4627813,0.3515283,0.24384469,0.17143436,0.14117463,0.15372376,0.21324088,0.31911567,0.44451308,0.5376088,0.55122674,0.47877076,0.35927108,0.24635167,0.17230201,0.1402571,0.14389007,0.18652189,0.27318916,0.3905429,0.49449015,0.535917,0.49160555,0.38598976,0.26687804,0.17596023,0.1274963,0.12104116,0.15838312,0.2425437,0.36307526,0.47817174,0.53707385,0.50755507,0.40808275,0.28613725,0.18928324,0.13518962,0.123433314,0.15524538,0.23659055,0.3612416,0.48851433,0.5623481,0.5432327,0.4440597,0.31463295,0.20811015,0.14752905,0.13073009,0.1536064,0.21982992,0.3284513,0.4501001,0.53431934,0.5385639,0.4632099,0.34883562,0.24490263,0.17796148,0.148865,0.15539323,0.20276575,0.29454103,0.40799817,0.4963436,0.5138217,0.45176378,0.343765,0.2396716,0.17208911,0.1464817,0.15934063,0.21385919,0.31374386,0.4413351,0.5485305,0.5836689,0.5263676,0.4075925,0.28105974,0.18956383,0.14386712,0.14077146,0.18075663,0.2663913,0.3832407,0.48748055,0.5300703,0.4876049,0.38459513,0.26944152,0.18312962,0.13790815,0.1309488,0.16414373,0.24302833,0.35971883,0.47412482,0.53497225,0.509786,0.41457394,0.2954976,0.19830827,0.14166526,0.12568688,0.15267669,0.22927122,0.35047325,0.4772234,0.5537893,0.540602,0.44837466,0.32498726,0.2206341,0.15681404,0.13019633,0.13685422,0.18354325,0.2747064,0.38873133,0.4772841,0.49485397,0.4322101,0.32402116,0.21909072,0.1502609,0.123896115,0.13808852,0.19297278,0.2859387,0.39340505,0.47228655,0.48318133,0.4203454,0.3168429,0.219235,0.15749806,0.13557969,0.14875661,0.19840115,0.28787598,0.4025178,0.501252,0.53750163,0.49119496,0.38770056,0.27566257,0.1951285,0.15671541,0.15649307,0.19495897,0.2762814,0.38992754,0.49484944,0.54276276,0.5081727,0.413061,0.30330798,0.2185604,0.17063475,0.1571904,0.18080135,0.24782722,0.35072967,0.45183364,0.50311303,0.4770398,0.3892847,0.282378,0.1950893,0.14324693,0.12644768,0.14726074,0.21297057,0.32194722,0.44373235,0.5278776,0.53331834,0.46076062,0.3507791,0.2522491,0.19152825,0.16916724,0.18234806,0.23528923,0.3290204,0.43846273,0.5160272,0.5201824,0.44826186,0.33757475,0.23534967,0.16897881,0.14111997,0.14992577,0.20057952,0.29630622,0.4169147,0.5157544,0.5463119,0.494754,0.39149368,0.28395227,0.20611821,0.16620807,0.16422261,0.20657296,0.29759908,0.42032954,0.52595514,0.5639226,0.51255107,0.40127417,0.28063396,0.19217055,0.14621831,0.13975061,0.17448372,0.25546166,0.373513,0.48709974,0.545811,0.51809675,0.4222759,0.3044196,0.21030222,0.1563084,0.14112024,0.16450036,0.23202847,0.33857608,0.4487897,0.51244324,0.49520203,0.40835902,0.2959009,0.2032034,0.14806238,0.12251648,0.109505616,0.09793561,0.08504221,0.07309347,0.06603723,0.06737903,0.07834084,0.095956035,0.11430498,0.1266745,0.13029504,0.12695046,0.1215049,0.116414845,0.11047664,0.101339824,0.09058856,0.08401074,0.08684936,0.09839424,0.11192524,0.11970212,0.11810252,0.1082311,0.0936488,0.07792004,0.06490574,0.058496267,0.06203987,0.075481385,0.09474074,0.1123544,0.12239421,0.123643875,0.12036768,0.11680245,0.11350655,0.10736764,0.09729559,0.08668668,0.08130139,0.083485596,0.090292364,0.096001506,0.096823454,0.09231084,0.084174074,0.07419873,0.06462016,0.05868489,0.060392052,0.071605325,0.08990881,0.108692825,0.121334076,0.1252293,0.122976266,0.11858368,0.11365961,0.10701042,0.09791847,0.088800825,0.08356314,0.084284484,0.089054465,0.09423256,0.09733645,0.098326296,0.09802701,0.096832074,0.09524418,0.09523403,0.099994995,0.112085074,0.13126495,0.15404345,0.17483169,0.18837035,0.1916272,0.18420018,0.16730519,0.14337012,0.11654081,0.09312543,0.07960593,0.07901632,0.08858025,0.1010698,0.11016641,0.114468366,0.11795012,0.12495264,0.13650136,0.14960338,0.16131113,0.17140937,0.18245298,0.19665407,0.21363421,0.22976458,0.23951666,0.23695262,0.21903615,0.18772823,0.151949,0.1237576,0.114562444,0.12882054,0.16344021,0.20772688,0.24861228,0.2738059,0.2755398,0.2519732,0.20869379,0.1590664,0.119762726,0.104979776,0.11913646,0.15635708,0.20277117,0.24326539,0.2661654,0.265758,0.24269937,0.20329814,0.15941821,0.12488082,0.11146977,0.12318591,0.15501392,0.19407773,0.22541426,0.23764712,0.22695978,0.19751187,0.15901227,0.12416005,0.104622304,0.108166955,0.13533938,0.17942679,0.22773921,0.2659593,0.28282648,0.2740188,0.24313368,0.19936967,0.15447925,0.11959877,0.103494585,0.10988196,0.13457847,0.16521382,0.18621995,0.18823099,0.17289567,0.14994974,0.12874603,0.11398163,0.107853435,0.11335174,0.1338577,0.16758002,0.20516597,0.23201464,0.23734479,0.21997471,0.18865836,0.1550827,0.12805985,0.11169455,0.107421555,0.115403086,0.13355857,0.15670626,0.17803271,0.19254623,0.19884892,0.19708021,0.18723959,0.16963334,0.14888932,0.13318707,0.13081892,0.14383702,0.16756707,0.19353445,0.21491198,0.2285986,0.23335458,0.22806986,0.21219485,0.18965042,0.16801675,0.15517181,0.15356062,0.16057767,0.17147343,0.18302633,0.19337082,0.19918968,0.19562119,0.17892991,0.15216929,0.124857,0.109149404,0.1132088,0.13813657,0.17819051,0.22251381,0.25953326,0.27905467,0.27606156,0.25068203,0.21032864,0.16713583,0.13453594,0.12114822,0.12805581,0.14948528,0.1762683,0.19935803,0.2119217,0.20976572,0.19246493,0.1642602,0.13512547,0.117303245,0.12090977,0.14810361,0.19220088,0.23935337,0.2752122,0.2897489,0.280237,0.24994208,0.20702283,0.16359125,0.13326989,0.12731694,0.14884824,0.191018,0.23833412,0.273784,0.28565982,0.27112892,0.23526512,0.1876052,0.14085266,0.107549734,0.09734121,0.111839265,0.14418057,0.18064713,0.20676775,0.21292786,0.19850318,0.17096305,0.14154807,0.12008998,0.112847954,0.12272349,0.14991969,0.19040619,0.2348925,0.27018642,0.2845653,0.27257577,0.23768188,0.19038899,0.1448191,0.113863885,0.10544878,0.119961895,0.14942133,0.18051,0.20000409,0.20269443,0.19222747,0.1774416,0.16418332,0.15458237,0.1497366,0.15386377,0.17181899,0.20347135,0.24004138,0.26707032,0.27320394,0.2566629,0.22553863,0.19097579,0.16180082,0.14278972,0.13720076,0.1472004,0.17230941,0.20625146,0.23823242,0.25740397,0.2593972,0.24645661,0.22460961,0.19861586,0.17328884,0.15431172,0.14886923,0.16097622,0.18852012,0.22305767,0.2537143,0.2720982,0.27369332,0.2585729,0.23009782,0.19669747,0.16928689,0.15787213,0.16535063,0.18680625,0.21272646,0.23437446,0.24693374,0.24761307,0.23479946,0.20790403,0.17185096,0.13680254,0.11546505,0.116369106,0.14064592,0.18188785,0.22872192,0.2684617,0.2894064,0.2844638,0.2535393,0.2059232,0.1571065,0.12260608,0.11128717,0.12307032,0.15081902,0.18367958,0.21086556,0.22448713,0.22132796,0.203043,0.17522366,0.14693294,0.12865691,0.12975846,0.15295179,0.19240524,0.23447184,0.26543874,0.2766069,0.26771155,0.24387352,0.21364616,0.1858427,0.16764899,0.16194083,0.1668309,0.17753895,0.18974721,0.20119153,0.21068634,0.21518321,0.21030702,0.19352864,0.1693945,0.14816684,0.14085029,0.15192823,0.17856775,0.21342735,0.24850595,0.27593693,0.28715885,0.27603856,0.24299838,0.19873865,0.15895616,0.13717596,0.1377039,0.15641735,0.18454991,0.21355338,0.23693413,0.2493232,0.2462542,0.22596975,0.19352002,0.16030398,0.13895166,0.1357071,0.14752321,0.16535403,0.18004854,0.18701224,0.18520416,0.17505272,0.15679772,0.13295048,0.10945359,0.09397671,0.09197274,0.10436791,0.12882896,0.16132969,0.19684432,0.22788127,0.24504697,0.24098732,0.21630748,0.1819608,0.15380405,0.14344263,0.15119737,0.16772602,0.18132484,0.18590371,0.18293779,0.17691274,0.16984709,0.16009821,0.14722686,0.13546108,0.13282897,0.14476864,0.17027123,0.20217371,0.2320518,0.25338432,0.2620705,0.25597218,0.23604034,0.20854402,0.18373553,0.17204379,0.17852233,0.20087361,0.23050547,0.25699022,0.27247262,0.27294162,0.25792432,0.22945715,0.19428654,0.16302069,0.14729983,0.1531515,0.17780958,0.21073829,0.23907578,0.25404477,0.25298893,0.23822989,0.2133165,0.18297799,0.15408604,0.13628285,0.13855906,0.16382734,0.20563579,0.24981105,0.2814906,0.2909794,0.27647185,0.24224375,0.19767489,0.15573008,0.13006629,0.12969522,0.15432875,0.19472647,0.23705907,0.2692744,0.2839674,0.27818024,0.25251675,0.21187659,0.1670414,0.13207516,0.11918356,0.13176197,0.16270113,0.19687718,0.21874386,0.2189085,0.1974722,0.1627683,0.12711124,0.10292136,0.09910562,0.11973495,0.1623771,0.21772385,0.2707395,0.30551893,0.3119196,0.28922048,0.24554776,0.19343168,0.14624302,0.11470478,0.10490074,0.11613879,0.1410352,0.16797155,0.18596773,0.18967362,0.18005218,0.16218846,0.14112626,0.12225228,0.11136699,0.1149714,0.13542871,0.16805369,0.20090713,0.22122829,0.22256024,0.20770265,0.18499367,0.16188322,0.14268851,0.13048606,0.12939447,0.14244638,0.16670454,0.19220789,0.2066865,0.20440525,0.18868141,0.16806833,0.14867772,0.1324533,0.120293014,0.11549932,0.12301438,0.1446253,0.17643404,0.2098943,0.23714395,0.2538077,0.2581655,0.24910985,0.22736828,0.19944392,0.17683242,0.17005162,0.18032916,0.19894099,0.21362613,0.21800648,0.21403699,0.20662506,0.1970561,0.18244082,0.16204835,0.14160451,0.1323473,0.14382203,0.17745326,0.22432947,0.26934496,0.29885522,0.30480412,0.2863388,0.24790871,0.20051648,0.1587352,0.13717167,0.14358108,0.1764683,0.22501154,0.2726514,0.30303797,0.30554932,0.2797827,0.23420583,0.1835897,0.14264415,0.12236456,0.1263361,0.15099128,0.18647617,0.22004266,0.24052982,0.2419001,0.2246338,0.19397919,0.1589973,0.13074769,0.120262,0.13403197,0.17033271,0.2186247,0.2634891,0.29133108,0.29480425,0.27375326,0.23342587,0.18315698,0.13561498,0.10360695,0.09613383,0.113415144,0.14674212,0.18091828,0.20170788,0.2020557,0.18523125,0.1609484,0.13922149,0.12629238,0.1254337,0.13877153,0.16624242,0.20259304,0.236845,0.25709614,0.2566693,0.23690778,0.20511095,0.17077409,0.14339243,0.13136204,0.14072289,0.17164953,0.21563955,0.25653276,0.2782972,0.27412584,0.24964817,0.21723203,0.18724419,0.16455667,0.15065694,0.14707433,0.15480568,0.17145409,0.19078296,0.20546578,0.21221848,0.21155955,0.2060249,0.19629343,0.1836588,0.17231445,0.17041369,0.18490328,0.21443379,0.24755163,0.26794162,0.26650926,0.2460965,0.21802394,0.1912728,0.16847193,0.14954619,0.1374771,0.1390888,0.15807134,0.19100703,0.22677831,0.2548085,0.26835862,0.26597717,0.247921,0.21732678,0.18221247,0.15442427,0.14474809,0.15599497,0.1829838,0.21521674,0.24324958,0.26009688,0.26181915,0.2468744,0.21806999,0.1838256,0.155645,0.14353211,0.15096064,0.17415436,0.20374203,0.22897357,0.24160947,0.23734772,0.21637052,0.18262048,0.1453012,0.11658141,0.10826188,0.12538107,0.16427423,0.21343489,0.258778,0.2887949,0.29761243,0.28536823,0.25635925,0.21830404,0.18082656,0.1542042,0.14628004,0.15880598,0.18542646,0.21295597,0.2289524,0.22786152,0.21398705,0.19568396,0.18020253,0.17017037,0.16579555,0.1666344,0.17235106,0.18195538,0.19361007,0.20519026,0.21412204,0.21656792,0.20865954,0.18930286,0.16426706,0.14421219,0.14052737,0.15751423,0.1914479,0.2315336,0.26641914,0.28646556,0.28614888,0.26454934,0.22730948,0.18680876,0.15695643,0.14734209,0.15782996,0.1814645,0.20859605,0.2324266,0.24837744,0.2523695,0.24034947,0.21216114,0.17540644,0.1427115,0.12509176,0.12533641,0.13905454,0.15903659,0.17969073,0.19714342,0.2065742,0.20275861,0.18287016,0.15196486,0.12104089,0.102581866,0.10315629,0.122402065,0.15427817,0.19104075,0.22492433,0.2487268,0.25602552,0.24374771,0.2156669,0.18288122,0.15854196,0.15027061,0.15620835,0.16827202,0.17893581,0.18588711,0.19043459,0.1929769,0.19068076,0.18022753,0.16263728,0.14514305,0.13852228,0.15040056,0.18043871,0.21951143,0.25530544,0.27751556,0.28093374,0.2650296,0.23422569,0.19814844,0.16931976,0.15817277,0.16733749,0.190946,0.21845895,0.24097203,0.25364256,0.25399008,0.24082476,0.2157584,0.18649022,0.16326678,0.15393513,0.158526,0.17248447,0.18987273,0.20715366,0.2210471,0.22711442,0.22006209,0.19805034,0.16713388,0.13973205,0.12911169,0.14147092,0.17401324,0.2165341,0.2565458,0.28278735,0.2871046,0.26656076,0.22511993,0.17535788,0.134068,0.11626143,0.12785308,0.16410758,0.21154658,0.25385863,0.27823856,0.27890095,0.25767046,0.22101761,0.17881024,0.14213459,0.12215436,0.12587817,0.15240292,0.191117,0.2255928,0.24157368,0.23318718,0.20445569,0.16566238,0.12938972,0.1071149,0.106848,0.13131535,0.1761175,0.23025513,0.27831474,0.3067756,0.30870458,0.28630593,0.24795286,0.20465426,0.16704644,0.14440125,0.14348233,0.16497654,0.20054077,0.23392975,0.25026765,0.24492691,0.22513153,0.20161374,0.18129039,0.1668637,0.16154695,0.17010558,0.19424176,0.22770236,0.25733626,0.27074814,0.263801,0.24206285,0.21516514,0.19054477,0.17185311,0.16192491,0.1646849,0.18251514,0.21134274,0.24016146,0.25741217,0.25913045,0.25013807,0.23681472,0.22097307,0.2009757,0.17970334,0.16564466,0.16760814,0.18494503,0.20847869,0.22702897,0.23653722,0.23834127,0.23394991,0.22107889,0.19849391,0.17149381,0.15105784,0.14677145,0.15909477,0.17968798,0.19707094,0.20446919,0.20160192,0.19094588,0.17395504,0.15101887,0.12588365,0.10582555,0.09974128,0.11238351,0.14341652,0.18625136,0.23101918,0.26535082,0.27866173,0.26552692,0.23008223,0.18504585,0.14616634,0.12503476,0.12491571,0.141748,0.16681212,0.19041772,0.2044418,0.20391953,0.18802889,0.16012669,0.12885258,0.1056031,0.101546265,0.12126661,0.16113551,0.20951028,0.25258768,0.2787504,0.28194347,0.26212886,0.2251615,0.18240668,0.14749907,0.1325083,0.14295305,0.17601831,0.22073269,0.26193234,0.28616354,0.28637788,0.26366594,0.225098,0.18163794,0.14605205,0.13047767,0.14262731,0.1799377,0.22923511,0.27047753,0.28895637,0.28096578,0.2549579,0.22285795,0.19521928,0.17877376,0.17816544,0.19562711,0.22874922,0.26931944,0.3048631,0.32415286,0.32106665,0.2964225,0.25626484,0.21033998,0.17010802,0.14577842,0.1427265,0.1577981,0.18096304,0.20000714,0.20853,0.20696211,0.19932486,0.18746202,0.17148411,0.1535628,0.13976097,0.1374892,0.149805,0.17347772,0.20031178,0.22245981,0.23497732,0.23549886,0.22274011,0.19786619,0.16831996,0.14643843,0.14418502,0.16443674,0.1995579,0.23418999,0.25415528,0.2526404,0.23259534,0.20278297,0.172262,0.14796019,0.13479991,0.13718583,0.15669519,0.18996388,0.22704346,0.25537777,0.26477098,0.2519035,0.22046404,0.17921269,0.13944037,0.11240896,0.106641434,0.12474084,0.1613815,0.20443673,0.23920985,0.2552491,0.24954927,0.22682725,0.19495468,0.16299003,0.13920829,0.1313713,0.1439663,0.17585434,0.21908498,0.26199934,0.2939786,0.30847535,0.30278048,0.27753523,0.23721135,0.19142747,0.1522381,0.13006088,0.1286969,0.14505403,0.170898,0.19715671,0.21645658,0.22419883,0.21825968,0.19938676,0.17265959,0.14733566,0.13449343,0.14171493,0.16948491,0.21031706,0.25258967,0.28465584,0.29764462,0.28715077,0.25521237,0.21228825,0.17363997,0.1522636,0.15162353,0.16551636,0.18356086,0.1977777,0.20567198,0.20776884,0.2043414,0.19398881,0.1767628,0.1574847,0.14568348,0.15138896,0.17834215,0.22134691,0.26712295,0.3014687,0.31350872,0.30017626,0.26538447,0.2204784,0.17973225,0.15587829,0.15484333,0.17431735,0.20590514,0.23831284,0.26231346,0.2715707,0.26389486,0.23969065,0.20429824,0.1673075,0.14050566,0.13203089,0.14289528,0.16677357,0.19374381,0.21465106,0.22398096,0.21909519,0.1999981,0.16946869,0.13553283,0.10877908,0.0988177,0.10907587,0.13727808,0.17661183,0.21816878,0.25168693,0.26722082,0.25935546,0.2309104,0.19434464,0.16465215,0.15176897,0.15478082,0.1663931,0.17901783,0.18978953,0.19788337,0.20025809,0.19090201,0.16587508,0.12957807,0.093922354,0.07234481,0.071696155,0.08966654,0.11585418,0.13744228,0.14516474,0.13804978,0.12193514,0.10480667,0.091542006,0.08395041,0.082746364,0.08996719,0.10665379,0.12985776,0.15213151,0.1692333,0.18876499,0.22966503,0.30510285,0.40355942,0.48735216,0.5187139,0.48799598,0.42173907,0.35888985,0.32605624,0.3274012,0.35674882,0.4093357,0.4806998,0.5582652,0.61288244,0.6171803,0.5635936,0.48137513,0.41053072,0.37659395,0.37379798,0.3863592,0.4100026,0.45169482,0.5126422,0.5693302,0.59094787,0.5591292,0.49049267,0.41697288,0.36443833,0.33412683,0.31736004,0.31557444,0.34280774,0.40705904,0.48508346,0.5324764,0.5125826,0.4303632,0.3239241,0.23534034,0.18329805,0.16782963,0.19048984,0.25820354,0.368342,0.48905027,0.5711374,0.5784061,0.5147901,0.41887298,0.33500746,0.2907124,0.29102316,0.33073515,0.39913753,0.4807618,0.5509341,0.5806621,0.5526848,0.47441408,0.3794707,0.30292356,0.2627882,0.25443372,0.27068567,0.31271172,0.38409233,0.47224426,0.5422777,0.5577826,0.50662655,0.41426024,0.3215038,0.25878665,0.23136134,0.2340498,0.2670287,0.3343002,0.42731,0.5108361,0.54310536,0.5033235,0.4140906,0.3186205,0.25124535,0.21856469,0.21545754,0.2449466,0.31451356,0.41836998,0.520063,0.5758534,0.5603956,0.4907768,0.4049622,0.3389072,0.30610752,0.30656508,0.3383683,0.4000566,0.48293304,0.5593894,0.59598154,0.5726554,0.5064574,0.43614903,0.3954908,0.38760328,0.39806184,0.41804317,0.45481873,0.514004,0.57923526,0.6163683,0.6001379,0.5381647,0.46394315,0.40848014,0.3782505,0.3622363,0.35542727,0.36985412,0.4199008,0.4968929,0.5629371,0.57564884,0.5216216,0.4277023,0.33603036,0.2738018,0.24410129,0.243329,0.27645338,0.34906623,0.4494764,0.53861696,0.5741967,0.5380836,0.45502272,0.36910558,0.31606254,0.30425692,0.3268236,0.37754646,0.45174012,0.5366437,0.600291,0.6109817,0.5576701,0.46852863,0.3865459,0.34253088,0.3359271,0.35202554,0.38292482,0.43141305,0.4961556,0.5552432,0.57806796,0.5459527,0.47244695,0.38986644,0.32731715,0.2922132,0.27914822,0.2874969,0.32615697,0.3991985,0.48447952,0.5390578,0.52569634,0.44448125,0.33140162,0.23062177,0.16680811,0.14253215,0.15746039,0.21500774,0.3141484,0.4284279,0.5142979,0.5338962,0.48743233,0.40751782,0.3362727,0.2949798,0.28424695,0.29784465,0.3363953,0.4018507,0.4815413,0.543425,0.55335045,0.50513834,0.4292644,0.36991748,0.35001874,0.36214554,0.38804528,0.4229547,0.47335443,0.53926474,0.59749657,0.6174858,0.5835597,0.5146403,0.44396165,0.39591607,0.3694258,0.35673022,0.3625687,0.40298358,0.48076192,0.5621636,0.59568423,0.54758364,0.43525204,0.3073648,0.20979877,0.15732504,0.14528924,0.17041744,0.23420973,0.32963905,0.42552814,0.48318014,0.4786797,0.42286482,0.3476579,0.2855582,0.25320485,0.25384417,0.28608164,0.34702465,0.42594704,0.49922347,0.5344401,0.5138424,0.4473826,0.37303886,0.32457483,0.31384444,0.3279036,0.35471216,0.39547512,0.45716405,0.53190225,0.5879255,0.5918216,0.53343636,0.44002974,0.35051677,0.2917163,0.26493534,0.26599613,0.2972385,0.36440122,0.4544804,0.5290649,0.54578847,0.49043432,0.3900255,0.28863034,0.21705364,0.18082784,0.17680652,0.20914316,0.28259787,0.38602683,0.48130322,0.52863234,0.51031995,0.44931388,0.38395151,0.34553838,0.34087625,0.36541852,0.41478038,0.48540735,0.5644402,0.622022,0.62831086,0.5745774,0.4880931,0.41037953,0.3691758,0.36232355,0.3744767,0.39952338,0.44378415,0.51017207,0.57835937,0.61472684,0.59443706,0.52741355,0.4471012,0.38671112,0.354755,0.34348223,0.34799942,0.37724325,0.43909296,0.5189464,0.57772046,0.578627,0.5172976,0.42535225,0.34200522,0.28721476,0.26087096,0.26292813,0.30368963,0.38815024,0.49616504,0.58034563,0.5984132,0.5422872,0.44712722,0.36053407,0.31452307,0.31243658,0.34396753,0.397593,0.46403214,0.52785414,0.564977,0.5539806,0.49475512,0.41477728,0.35034153,0.32019556,0.3183349,0.3313243,0.35902357,0.41001478,0.48385438,0.5543936,0.5869526,0.56201655,0.49644744,0.42515266,0.3766818,0.35217416,0.3364863,0.31430283,0.28233007,0.24508029,0.20851727,0.17742027,0.15705128,0.15253787,0.16365309,0.18132864,0.19331378,0.19686596,0.20689757,0.24626696,0.32399943,0.41891447,0.48922762,0.5024285,0.4599419,0.3942158,0.34201553,0.3229642,0.33661056,0.3768685,0.43834186,0.5145448,0.58561295,0.62265736,0.60309625,0.5349684,0.45423222,0.40023175,0.38574103,0.39763165,0.41961646,0.45169982,0.5011253,0.56099343,0.6012175,0.589453,0.51794034,0.4133911,0.3147456,0.24807943,0.21770817,0.22097643,0.25966558,0.33346286,0.4245099,0.49320254,0.5026272,0.44388577,0.34623265,0.25103194,0.18581016,0.15433443,0.15362939,0.18919484,0.26754934,0.37845516,0.4828372,0.53687143,0.5184844,0.44619444,0.3583356,0.28975877,0.25572893,0.25948668,0.30213937,0.38063183,0.47993955,0.5642492,0.59554595,0.5561312,0.47078204,0.38713542,0.34418845,0.34550497,0.3712224,0.4044532,0.44453046,0.49579594,0.5461819,0.5685384,0.5392379,0.46300054,0.37030664,0.29580107,0.2549309,0.24379663,0.257059,0.29826167,0.3721507,0.4629661,0.5328742,0.54320484,0.48797175,0.3981924,0.31629077,0.26312086,0.23627146,0.23196666,0.26220575,0.3396819,0.45249853,0.5548977,0.596972,0.5591848,0.46919176,0.37596408,0.31942567,0.31047323,0.34154773,0.39935458,0.47258458,0.5458634,0.5946305,0.59407276,0.53742564,0.4490631,0.36766526,0.3190819,0.30168208,0.3029122,0.3216455,0.367932,0.44406888,0.52411056,0.5685368,0.5497867,0.4793879,0.39367178,0.3284435,0.29544362,0.29047784,0.311861,0.36427525,0.44610763,0.530184,0.57578284,0.5540318,0.47488964,0.3765103,0.29633495,0.24830174,0.22835886,0.2358247,0.2775065,0.3545786,0.44359064,0.5049476,0.5089492,0.46013403,0.39279738,0.3441987,0.33270487,0.35446155,0.3983356,0.4538571,0.51201737,0.5581107,0.57300454,0.5447508,0.4813439,0.41317722,0.37143978,0.36827675,0.39123985,0.4244205,0.46552554,0.52154285,0.58920044,0.6410134,0.644659,0.58755714,0.4953679,0.4078492,0.3532312,0.33057353,0.32908133,0.3465756,0.3910031,0.45983925,0.52306086,0.53968185,0.48726717,0.3854176,0.2764874,0.196308,0.15466481,0.14802767,0.1787113,0.2536025,0.36761662,0.48535886,0.5598952,0.56088346,0.5007878,0.41801235,0.34990057,0.31080732,0.29992637,0.31623098,0.36362445,0.4394704,0.520724,0.5688854,0.555971,0.49044943,0.41434073,0.37001303,0.37008083,0.39752448,0.43299592,0.47233367,0.5212447,0.5729628,0.6045545,0.5917383,0.5337363,0.4550115,0.38641843,0.34313345,0.32221556,0.32023248,0.34376106,0.4016105,0.4819806,0.54637045,0.5522792,0.48640844,0.3778759,0.2721917,0.20036681,0.16661169,0.16767275,0.20915405,0.2975197,0.42069516,0.53498167,0.5937138,0.5725716,0.4929391,0.39425468,0.31404436,0.26595542,0.25337705,0.27653006,0.33543348,0.41852665,0.49446186,0.5256,0.49078622,0.40710452,0.31489393,0.25069275,0.22483379,0.23129737,0.26724774,0.33562997,0.431851,0.5255815,0.5762468,0.5573367,0.4822265,0.3896669,0.31692442,0.2764392,0.26267073,0.2729068,0.31423444,0.39138246,0.4833502,0.5469313,0.5421923,0.46619365,0.3542874,0.2524493,0.18716805,0.1611685,0.17347652,0.22887202,0.32848248,0.44736156,0.5383466,0.5584374,0.5023665,0.40437153,0.31171885,0.25434008,0.23725313,0.25616157,0.3090484,0.392982,0.4881102,0.55632216,0.5624772,0.50334054,0.41373146,0.33903158,0.30285907,0.29988256,0.3167261,0.3515259,0.40884808,0.48187622,0.54284024,0.5613687,0.5276348,0.46328667,0.40119025,0.36141673,0.34237686,0.33663723,0.34935006,0.39284363,0.46799836,0.54428077,0.5792837,0.5464981,0.462433,0.36694667,0.29507908,0.25595477,0.24514927,0.26419696,0.32045242,0.41249213,0.51106113,0.5739485,0.57033104,0.5076978,0.42140242,0.35089862,0.3163658,0.31973478,0.35661292,0.42197058,0.5044752,0.5785508,0.6106389,0.58073586,0.4997085,0.40608403,0.33712354,0.3063593,0.30339256,0.31646702,0.34781727,0.40472975,0.4798394,0.5411205,0.55370903,0.50600845,0.42249224,0.34048855,0.28450775,0.25381836,0.23577176,0.2192322,0.19998336,0.17720269,0.15209472,0.12867177,0.11371199,0.1116228,0.12029141,0.13093661,0.13943173,0.15466268,0.20084924,0.29420352,0.42461166,0.5431311,0.5962667,0.5558131,0.44682527,0.31894797,0.21823998,0.16052824,0.14607047,0.17615907,0.25460982,0.37152204,0.48583493,0.5456953,0.5180812,0.41892377,0.2953513,0.19479246,0.13696402,0.12113947,0.14684801,0.21855354,0.33214763,0.45334947,0.53041625,0.5231485,0.4362671,0.3124529,0.20205319,0.13251953,0.10664162,0.122852564,0.18384941,0.28782925,0.40593365,0.48881102,0.4932028,0.41803983,0.302615,0.1980229,0.13269837,0.109321535,0.12441683,0.18245251,0.28544363,0.41065535,0.5082567,0.53055865,0.46710727,0.35417113,0.24375963,0.16971625,0.13558353,0.13617307,0.17546748,0.26161882,0.38300514,0.49468026,0.5427758,0.5006713,0.3941771,0.2755929,0.18855552,0.14405604,0.13846058,0.17458041,0.25942695,0.38276613,0.49840108,0.55103725,0.5096505,0.3978738,0.26808134,0.16863893,0.115389794,0.10537428,0.13768728,0.2169915,0.33670998,0.45799044,0.5277441,0.50913626,0.41487256,0.29174912,0.18933706,0.1294379,0.111814864,0.135103,0.20371218,0.3142989,0.43448138,0.51274323,0.5090485,0.4266795,0.3084726,0.20410265,0.1412214,0.120798714,0.13965231,0.19933856,0.30036506,0.41861448,0.5080076,0.523722,0.45777512,0.34434104,0.23382707,0.15939295,0.12713848,0.13466774,0.18510099,0.2806351,0.40026173,0.4964622,0.52122384,0.46151674,0.34995332,0.23783481,0.160428,0.12443939,0.1255822,0.16692853,0.2528982,0.36878517,0.47003207,0.50806695,0.46347895,0.3635923,0.25680485,0.1794584,0.13981517,0.13419531,0.16806038,0.25091892,0.37582722,0.49813044,0.5606974,0.528428,0.42212984,0.29464826,0.19561814,0.14083539,0.12587543,0.15001996,0.2207433,0.33472738,0.4546543,0.5255714,0.5089418,0.4156228,0.29261824,0.18889515,0.12668787,0.106049955,0.1264592,0.1933742,0.30474985,0.43016848,0.51756287,0.52378225,0.44688997,0.32760516,0.21725684,0.14662124,0.118419416,0.12928404,0.18345773,0.2846283,0.4110335,0.5115039,0.53443664,0.46717843,0.34666896,0.22877108,0.15054677,0.11804348,0.1262893,0.1762718,0.2694799,0.38701105,0.48450127,0.5173487,0.47291556,0.38041198,0.28440788,0.21355738,0.17277038,0.16047455,0.18640257,0.2602813,0.3729929,0.48114848,0.5342632,0.5038458,0.40991637,0.29768384,0.2090885,0.15838598,0.14544283,0.17357594,0.24920018,0.363391,0.47461224,0.5306943,0.5012102,0.40446213,0.2878429,0.19534218,0.14334737,0.1295351,0.15457451,0.22507165,0.33933404,0.46324754,0.5437326,0.5379856,0.45145416,0.3285085,0.22153366,0.15625723,0.13329946,0.14984138,0.2097172,0.31307042,0.4323275,0.5186245,0.5279898,0.45799372,0.34657106,0.24380445,0.17791301,0.15171532,0.16277884,0.21699895,0.31741616,0.4415638,0.53853303,0.55952525,0.49245343,0.3734866,0.25540194,0.17468451,0.13754588,0.14037323,0.1856163,0.27593005,0.39394125,0.49324045,0.5263155,0.47523794,0.36985967,0.2586151,0.17855103,0.13741477,0.13259064,0.1686498,0.2536322,0.3781065,0.49821213,0.55931664,0.5290091,0.4268938,0.30331475,0.20623963,0.15002237,0.12291368,0.1056993,0.08853733,0.07095772,0.056731295,0.04920477,0.05024296,0.059344977,0.07371525,0.08850234,0.09892466,0.10216027,0.09846351,0.09013759,0.07973444,0.06918492,0.06051136,0.056764904,0.06121977,0.074351676,0.09200383,0.106505245,0.1117067,0.10592562,0.09232246,0.07547946,0.05985872,0.048949957,0.04586612,0.052511424,0.06815342,0.08844897,0.10623165,0.11535307,0.113779284,0.10448369,0.09200563,0.07969395,0.06922177,0.06269876,0.06342083,0.073336095,0.090118654,0.10666314,0.115517326,0.11303973,0.10098577,0.08385936,0.06641973,0.052813858,0.046629388,0.05050992,0.06418144,0.08391736,0.10303072,0.11554146,0.11847633,0.11309358,0.10236595,0.08929344,0.076088645,0.065530814,0.061061,0.06511518,0.07654789,0.09028825,0.10018688,0.10294736,0.09935237,0.09277985,0.08653331,0.08332571,0.085216306,0.09394885,0.10970861,0.13029522,0.15108126,0.16663803,0.17311268,0.1689092,0.15486678,0.1331016,0.107866265,0.08447322,0.068671785,0.06371331,0.06914432,0.08028687,0.092373244,0.10678495,0.13672408,0.20080237,0.3073287,0.4359968,0.54130894,0.57818174,0.53408915,0.4385012,0.33952904,0.27439684,0.25043622,0.25329086,0.25865197,0.2485674,0.2168631,0.1728794,0.13484551,0.12310501,0.14834113,0.20599835,0.27403226,0.32568014,0.34171602,0.3198459,0.27001783,0.20905101,0.15581426,0.12730163,0.13267396,0.16706674,0.2136919,0.2508854,0.2630644,0.24658746,0.21030605,0.16903597,0.1343595,0.109834515,0.092971094,0.082262225,0.079294145,0.08534103,0.09627669,0.106575616,0.11857029,0.15061925,0.22377793,0.34131312,0.46871856,0.5527961,0.5543244,0.48114386,0.37775746,0.29489645,0.25835842,0.26323867,0.2854396,0.2972571,0.2814873,0.2382543,0.18413258,0.14234762,0.13162275,0.15729396,0.20860517,0.2639481,0.30593732,0.33570603,0.3721565,0.43287054,0.51150566,0.5749152,0.5859627,0.532578,0.43896928,0.34351325,0.2727776,0.22941078,0.2087604,0.21372275,0.25217247,0.3212231,0.3968278,0.44854155,0.4590156,0.43539676,0.39828476,0.36448607,0.34060705,0.32544717,0.31788465,0.31494915,0.31219766,0.30473086,0.29363808,0.2861582,0.29011664,0.30646423,0.32885087,0.34903666,0.36269185,0.3693539,0.3696572,0.36326084,0.35021484,0.33254173,0.3143473,0.2995759,0.29040098,0.28610215,0.28505254,0.28461328,0.28292656,0.27792433,0.27101374,0.2665659,0.27096638,0.28543234,0.3047911,0.32005107,0.3261857,0.3236773,0.31591228,0.30464962,0.28954047,0.27115634,0.25273174,0.24058132,0.23914514,0.24838333,0.26186168,0.27242947,0.27582002,0.27271655,0.26456234,0.25146762,0.23213784,0.207627,0.18293399,0.16635233,0.16472755,0.17974424,0.20680682,0.23844258,0.26855195,0.29392347,0.3134723,0.32613704,0.33155426,0.33061704,0.32624745,0.32133016,0.31696674,0.31125465,0.3012806,0.28545347,0.26561907,0.24579678,0.23057072,0.22288765,0.22339745,0.23028763,0.2407238,0.25300786,0.26616526,0.27802095,0.28386667,0.28072265,0.2714414,0.26404428,0.2648802,0.27295503,0.28168914,0.28475773,0.2813082,0.27417514,0.2664756,0.25882593,0.25132072,0.24501555,0.24120861,0.23908831,0.23498254,0.22633982,0.2149744,0.2091118,0.21697666,0.24121988,0.27431333,0.30519477,0.32564762,0.33499506,0.33588746,0.3308076,0.32100263,0.30885008,0.2986194,0.2940091,0.29555058,0.30036166,0.30518666,0.3088833,0.3121853,0.31573954,0.318192,0.31675705,0.30908856,0.29606116,0.28227615,0.27287915,0.269778,0.2700468,0.26997474,0.26773325,0.264735,0.262301,0.26089218,0.25978163,0.25898895,0.25946856,0.26220068,0.2669555,0.2720464,0.27614057,0.27939758,0.2833356,0.28941527,0.29820916,0.30974898,0.32327816,0.33730575,0.34871724,0.3539301,0.34929362,0.33299842,0.3048059,0.26709038,0.22505075,0.18750219,0.16444416,0.16247587,0.18090822,0.21154262,0.24274053,0.26397124,0.26973712,0.26023158,0.24032946,0.21717323,0.1983604,0.19028129,0.1963049,0.21562143,0.2436762,0.27404258,0.30068836,0.31999245,0.3316677,0.3384712,0.3428369,0.34525028,0.34327373,0.3357447,0.32419714,0.31294847,0.30473337,0.2984171,0.29075196,0.2799755,0.26835045,0.25909236,0.25375536,0.2508313,0.2487098,0.2473116,0.24781929,0.25016788,0.25250897,0.2530581,0.25295416,0.2554456,0.2631248,0.27470782,0.28678486,0.2962933,0.30276975,0.30630764,0.30604923,0.29993066,0.28727713,0.2698975,0.25182465,0.2372905,0.23000628,0.23195404,0.24267179,0.258849,0.27556187,0.2884513,0.29404733,0.29066238,0.27847543,0.26209685,0.24958096,0.24866275,0.2606443,0.27813718,0.2903945,0.29004326,0.27737725,0.25668716,0.23262322,0.20824172,0.18680042,0.17230262,0.16809821,0.17462794,0.18892281,0.20612031,0.22201288,0.23391797,0.24039982,0.24019803,0.23281102,0.21966083,0.20450467,0.19265984,0.18886144,0.19614981,0.21419643,0.23951687,0.2660521,0.28815314,0.302749,0.31028017,0.31273437,0.31140053,0.30552617,0.29377377,0.27609155,0.25569716,0.23824884,0.23002891,0.23411977,0.24844193,0.26626763,0.28072914,0.2893515,0.2944974,0.2993958,0.3031601,0.30223027,0.29455182,0.28445366,0.27747467,0.2761717,0.2756274,0.27124697,0.26143128,0.2504376,0.24103165,0.23332267,0.22462134,0.21513945,0.20994608,0.21592756,0.23618917,0.26539287,0.29435304,0.315003,0.32574484,0.32803747,0.3238108,0.31346607,0.29843378,0.28335392,0.2738392,0.27317545,0.27865675,0.286186,0.2930229,0.30035755,0.30783126,0.31250358,0.30958223,0.29796186,0.28160408,0.26717925,0.25956962,0.2588409,0.2623907,0.26761317,0.27475652,0.2844031,0.29568973,0.30462527,0.30764875,0.3039563,0.29649344,0.28778055,0.27753243,0.26345637,0.24624746,0.23092274,0.22367258,0.22605991,0.23418297,0.24169804,0.24473298,0.24333964,0.24070866,0.24016333,0.24307819,0.24803132,0.25298545,0.2572403,0.26262307,0.2713344,0.28456315,0.30112806,0.31845427,0.3329768,0.34155235,0.34199664,0.3336948,0.3168858,0.2929192,0.2649469,0.23890878,0.22216432,0.22014797,0.23345216,0.25714096,0.2831603,0.30337194,0.31307495,0.3127732,0.30819955,0.30638692,0.31098965,0.31915903,0.32451794,0.32219768,0.31208253,0.29683352,0.2786863,0.25960404,0.24258864,0.23202915,0.22975685,0.23375101,0.23911548,0.24266815,0.24411695,0.2452278,0.24696253,0.24943118,0.25331858,0.2605724,0.27259228,0.28753686,0.30155703,0.3112208,0.31612122,0.3168319,0.31407142,0.30769375,0.298535,0.2875097,0.27555445,0.26264963,0.24979772,0.23937331,0.23475134,0.23753123,0.24637716,0.25787985,0.26824763,0.2746774,0.27475438,0.26731178,0.25261036,0.23357151,0.21441382,0.19969481,0.19290997,0.19631346,0.21035604,0.23244947,0.25692305,0.2763156,0.28508583,0.28146914,0.26737323,0.24626388,0.22187947,0.19870807,0.18185538,0.17640567,0.18486206,0.20623805,0.23609097,0.26863506,0.2981924,0.32027212,0.3323064,0.33455303,0.330193,0.3232347,0.31619108,0.308555,0.29802677,0.28199208,0.2594117,0.23168248,0.20294471,0.17918204,0.16577898,0.16547102,0.17732058,0.19833529,0.22464184,0.2513534,0.27160335,0.27879062,0.27147835,0.2571631,0.24770336,0.25148404,0.26587018,0.28160605,0.2892563,0.2868089,0.2769718,0.26454747,0.2530011,0.2452891,0.24256402,0.24303298,0.24199621,0.23523988,0.22321762,0.2120849,0.21115841,0.22577596,0.25359884,0.28437063,0.30863014,0.32237184,0.32865417,0.33078745,0.32956174,0.32326838,0.31214473,0.30041006,0.2938148,0.295608,0.30315325,0.3114697,0.31664255,0.31860152,0.31806675,0.314759,0.3077658,0.29772207,0.28803584,0.28210926,0.281281,0.28288028,0.2835447,0.2811794,0.27683854,0.27197433,0.26720873,0.26204088,0.2568042,0.2535621,0.25461736,0.2604055,0.26826668,0.27469298,0.27823386,0.28060886,0.28476253,0.29214907,0.30203763,0.3128172,0.32323596,0.3327683,0.34032288,0.3440775,0.34113047,0.32856187,0.30375108,0.26704833,0.22402151,0.1863723,0.16627418,0.1695308,0.19116177,0.21928781,0.24180949,0.25198576,0.24905759,0.23595218,0.21733332,0.19871666,0.18679988,0.18756086,0.20396616,0.2334883,0.26909247,0.30188462,0.32512233,0.33661637,0.33891943,0.33650252,0.3327692,0.32794663,0.32122776,0.31197748,0.3020892,0.29222798,0.28193828,0.26839793,0.2527065,0.2392738,0.23437558,0.23841469,0.24638605,0.2511392,0.2500055,0.24480937,0.23925017,0.23553826,0.23457517,0.23729812,0.24454491,0.25569573,0.26783,0.2777231,0.28422114,0.28903484,0.29462054,0.30119362,0.3052396,0.3013207,0.2864092,0.26340246,0.24031907,0.22559392,0.22332788,0.23235983,0.2483745,0.26668495,0.28315714,0.29415068,0.29638413,0.28831625,0.2722191,0.2550479,0.24542071,0.24815445,0.2603118,0.27340388,0.27938855,0.27542594,0.2630945,0.24476655,0.22208714,0.1975893,0.17680247,0.16629852,0.16990249,0.18531877,0.20599104,0.22465193,0.23750336,0.24383861,0.24503674,0.24207743,0.23585105,0.2265631,0.21511239,0.20373793,0.19728588,0.20099884,0.21731818,0.24319966,0.27228698,0.29827043,0.31830916,0.33146393,0.3374181,0.33399346,0.319808,0.2953774,0.26551503,0.23682417,0.21648742,0.2089016,0.2149601,0.23076916,0.25047612,0.268787,0.28378934,0.29507688,0.30228102,0.303368,0.29669297,0.28202906,0.26199907,0.24069281,0.22254287,0.21038674,0.2053632,0.20667215,0.21204115,0.21739835,0.21873285,0.21497138,0.21105981,0.2158231,0.23505461,0.2657338,0.29703733,0.31933868,0.32928827,0.3300495,0.3246335,0.3148851,0.30200335,0.28975496,0.28301144,0.2849351,0.294444,0.3066225,0.31650695,0.3220228,0.32430112,0.32476237,0.32254437,0.31632414,0.30711368,0.30050024,0.30086374,0.30704582,0.31084046,0.30627963,0.29502168,0.28612283,0.28632692,0.2948961,0.30521998,0.311604,0.313567,0.3126614,0.30875018,0.29785296,0.2785853,0.25523803,0.23703104,0.2297474,0.2321037,0.23812445,0.24343534,0.24839671,0.2552485,0.2647238,0.2739562,0.27964327,0.28047767,0.27901503,0.27893877,0.2829555,0.29081643,0.3008674,0.31104854,0.31985283,0.32527962,0.3247868,0.3161742,0.29891416,0.27502725,0.24852152,0.22529604,0.21128838,0.21067734,0.22350872,0.24590243,0.2715265,0.29363832,0.30624524,0.3049564,0.2870159,0.25226238,0.20385022,0.14998259,0.10167498,0.068455465,0.053145174,0.051694203,0.056875568,0.06274713,0.06656145,0.06802837,0.06805834,0.067915045,0.06906325,0.07295397,0.08046816,0.091448225,0.10471776,0.11865789,0.13145177,0.14075182,0.14314635,0.13508798,0.11533457,0.08736199,0.059336696,0.040758207,0.038901787,0.05463041,0.08212415,0.10918022,0.124685906,0.12358423,0.11099958,0.095795274,0.08499396,0.07971778,0.079331845,0.0850164,0.09923036,0.12089616,0.14210747,0.15589066,0.16610003,0.19510101,0.26544908,0.3793647,0.4995787,0.57506126,0.5718655,0.50355434,0.41199887,0.33959687,0.30274606,0.2988455,0.32098353,0.36818182,0.4370184,0.5093358,0.55219954,0.5392848,0.47395766,0.38974997,0.32361126,0.29067028,0.28452277,0.29860708,0.33744025,0.40709898,0.4929711,0.5588208,0.5671208,0.5102363,0.41568398,0.3247367,0.26384813,0.23758493,0.24398983,0.28721777,0.36944082,0.47270456,0.5528968,0.56670576,0.50157803,0.38985917,0.2796015,0.20413734,0.16804774,0.16692019,0.20415865,0.2856802,0.4004219,0.50919026,0.56787914,0.554396,0.48621044,0.40051243,0.33235633,0.29891142,0.30483887,0.34886852,0.42349145,0.5114991,0.58056563,0.5984266,0.5501639,0.45910838,0.3700845,0.3218014,0.3197653,0.3470439,0.38901696,0.44499993,0.51570505,0.5806674,0.60545677,0.5648876,0.47144988,0.36459684,0.2842514,0.24431165,0.23840727,0.25969097,0.31052324,0.39215064,0.48356065,0.5457237,0.54502517,0.48508468,0.4016638,0.33397803,0.29476956,0.2761114,0.27411023,0.30105257,0.36980787,0.4670179,0.5515449,0.5796116,0.53946376,0.4581089,0.37862334,0.33065853,0.3208007,0.34475088,0.39909315,0.47866854,0.56552726,0.6244238,0.6233632,0.5571941,0.45933032,0.37467638,0.3289789,0.31716305,0.3244064,0.3494519,0.39987043,0.47361425,0.54107976,0.5659385,0.528939,0.4492561,0.36349952,0.30231225,0.27289167,0.27150527,0.29913497,0.36056474,0.4506395,0.53793436,0.5815979,0.5556698,0.4741672,0.37552953,0.29610455,0.24885374,0.23208798,0.24868543,0.30698493,0.40599915,0.51476115,0.58629864,0.58500314,0.51734227,0.42214918,0.3434682,0.30243433,0.29847273,0.32520154,0.37950838,0.45468163,0.5261472,0.5596459,0.5332656,0.46324524,0.39070904,0.35346308,0.35564542,0.38014176,0.40957427,0.44616032,0.49687997,0.557647,0.6025705,0.60491514,0.5574406,0.48437783,0.418496,0.3790848,0.36196843,0.3592368,0.37537315,0.42138958,0.49308762,0.5549229,0.56407577,0.49995065,0.38821372,0.27397314,0.19353627,0.15411459,0.15201041,0.18984157,0.27327076,0.3920021,0.5045008,0.56295913,0.54276556,0.46629763,0.37918985,0.32154456,0.3056521,0.32529926,0.37124178,0.43708134,0.5134378,0.5776976,0.60244775,0.572299,0.50105345,0.42182553,0.36292377,0.33050683,0.31606492,0.3180449,0.347205,0.41292754,0.4992682,0.5668464,0.5768524,0.52327216,0.43556276,0.35363296,0.2999703,0.27532187,0.27762294,0.31159756,0.38085088,0.46663097,0.52863365,0.52861255,0.46117672,0.3583173,0.2629521,0.2008579,0.1739558,0.17981638,0.22313301,0.30823264,0.41857782,0.51308715,0.5497287,0.51440084,0.4321557,0.34423867,0.28254226,0.25671244,0.26630726,0.31243718,0.39422676,0.49657598,0.58011705,0.60426855,0.55165285,0.44998834,0.34570017,0.27566627,0.24571043,0.2476613,0.27861202,0.3414499,0.43069592,0.5157716,0.5599632,0.5408369,0.4743916,0.39535236,0.33546427,0.3017411,0.28885734,0.2968285,0.3355273,0.4091742,0.4940114,0.54731625,0.53320354,0.45537892,0.34981462,0.25835618,0.20076324,0.1783089,0.19294746,0.25310525,0.35936913,0.4823514,0.57152814,0.58561295,0.5252295,0.4292604,0.34420002,0.2953135,0.28347608,0.303393,0.3535845,0.43128467,0.5164198,0.57333803,0.57180077,0.5144814,0.43726704,0.38142478,0.3621368,0.36824682,0.385147,0.4155443,0.4689734,0.542331,0.6062774,0.6273203,0.5912191,0.519859,0.44776678,0.39843622,0.37097824,0.35881838,0.36721042,0.4085264,0.48137555,0.5530949,0.58139974,0.54360694,0.4600272,0.37054515,0.30566576,0.26882628,0.25389436,0.26495555,0.31317925,0.39651024,0.48269346,0.5288033,0.5106805,0.44428036,0.3684999,0.317511,0.30283582,0.31978843,0.36181164,0.42369413,0.4952697,0.5540116,0.57343644,0.5411815,0.4720916,0.40120593,0.35825846,0.35128736,0.3685955,0.40028825,0.44525385,0.5051107,0.564941,0.5965653,0.5743928,0.5001504,0.40195894,0.31608394,0.26260158,0.23904586,0.23078161,0.22389221,0.21186893,0.1938094,0.17329796,0.15639883,0.1508113,0.15961494,0.17840116,0.19559546,0.20548768,0.21694696,0.25369745,0.3322593,0.4422711,0.5412422,0.5838071,0.5534111,0.47636423,0.39616704,0.34334064,0.32240465,0.3273995,0.3587235,0.4203898,0.50443196,0.5786123,0.60475445,0.5650541,0.48116338,0.39388952,0.33445096,0.30631986,0.3002056,0.31338015,0.35419163,0.4244,0.5024548,0.5495778,0.5365454,0.4678097,0.37697196,0.30048814,0.2561076,0.24445482,0.26536217,0.32215858,0.41039482,0.5027183,0.5557136,0.5376349,0.45277584,0.3402691,0.24271531,0.18288998,0.16080208,0.1756741,0.23157556,0.32676384,0.43423113,0.5090632,0.5164328,0.4573581,0.366137,0.28295538,0.23163961,0.21562247,0.23298721,0.28353223,0.36434373,0.45532998,0.51991445,0.5257542,0.47219038,0.39486453,0.33839515,0.323307,0.3388919,0.36491778,0.3968693,0.4435244,0.50924563,0.57288426,0.6023641,0.5758865,0.50815266,0.432471,0.3786417,0.34999946,0.33876944,0.3442954,0.37649426,0.43764648,0.5021253,0.53139967,0.49971005,0.4204342,0.32890847,0.25691447,0.21296923,0.1950864,0.2096926,0.26937652,0.3741552,0.4898744,0.56732863,0.5714655,0.5121975,0.42824623,0.3616806,0.33179453,0.3397173,0.37823117,0.44031367,0.51452285,0.58084565,0.6120135,0.5916025,0.52846617,0.4573548,0.41116437,0.3997248,0.40972492,0.42903283,0.4603118,0.5110154,0.57327175,0.61801267,0.61667794,0.5640988,0.48602295,0.41484758,0.3681705,0.342056,0.33081916,0.33932617,0.3784518,0.44332704,0.50426555,0.5234771,0.48534918,0.41018513,0.33444098,0.28168726,0.25294843,0.24372612,0.26084802,0.31428072,0.39842072,0.4797729,0.51957804,0.49774432,0.43168774,0.35674134,0.30565283,0.29027307,0.3094444,0.3583299,0.43220457,0.51873374,0.59025484,0.6142519,0.57469416,0.48973987,0.3997581,0.3388642,0.31609026,0.32263494,0.3528634,0.4077975,0.48424995,0.55897427,0.59887815,0.58277375,0.521032,0.44623557,0.38761172,0.35325444,0.33540294,0.33200502,0.35379708,0.41158757,0.4916792,0.5527033,0.55149716,0.4775587,0.36338523,0.2561501,0.18596172,0.15523522,0.16007091,0.2055131,0.29816306,0.42287096,0.5338374,0.5815701,0.54696816,0.45890236,0.36704373,0.3094802,0.2942048,0.31357625,0.36076903,0.43168816,0.5132938,0.5745631,0.58389115,0.5312505,0.44373092,0.36171842,0.3124802,0.29517344,0.2999692,0.32708967,0.38447192,0.46974292,0.5525582,0.5947699,0.5743632,0.51035565,0.4394996,0.39083704,0.36463103,0.35107175,0.3520625,0.38281944,0.44974613,0.5262224,0.5660692,0.53529984,0.4426149,0.32880554,0.23542774,0.18055052,0.16225302,0.17912005,0.23371959,0.3220283,0.41750345,0.48198327,0.48933932,0.44413063,0.3759657,0.31694958,0.28815222,0.2944163,0.33448336,0.40119064,0.48412022,0.56107146,0.6027861,0.5848209,0.50939834,0.40855536,0.32273427,0.27334478,0.2568502,0.26525533,0.30169716,0.3727571,0.46503273,0.53939867,0.554414,0.4992983,0.40289268,0.30950913,0.24788673,0.22093256,0.22179353,0.2502643,0.31151864,0.39790836,0.47761258,0.5090287,0.47029772,0.37915364,0.2771927,0.1998954,0.15822875,0.1499899,0.17885168,0.25160626,0.36198393,0.4729352,0.53850895,0.5299059,0.4616365,0.3717878,0.2985892,0.2584658,0.25391316,0.2857648,0.35425696,0.44992056,0.53973335,0.5836194,0.55784863,0.4818845,0.4005778,0.35352793,0.3470827,0.36592302,0.39703664,0.44137228,0.50154775,0.5626198,0.5952239,0.5753324,0.50769323,0.42169812,0.34945774,0.3045317,0.28411016,0.28657386,0.31935453,0.38838384,0.47762504,0.5479713,0.5603376,0.5067561,0.41641486,0.33063024,0.2723621,0.24273987,0.23892033,0.26986256,0.34133348,0.43897367,0.5208443,0.5488742,0.5118945,0.43705317,0.36116442,0.30989817,0.28722525,0.29043928,0.32006422,0.37747917,0.452848,0.51788574,0.54144835,0.5116517,0.45065704,0.39613783,0.37356392,0.38053915,0.4009205,0.4277115,0.46597922,0.5191505,0.5689481,0.5863874,0.5518288,0.47803113,0.39696506,0.3376228,0.30517557,0.2873068,0.2687691,0.24263208,0.20962928,0.17376453,0.14027853,0.11551496,0.10519194,0.10989562,0.1229013,0.135103,0.14600532,0.17100291,0.23204558,0.3359537,0.45585418,0.54210305,0.55486983,0.4949298,0.40043414,0.31760636,0.27313408,0.27002603,0.30234322,0.36488464,0.45046282,0.5379222,0.5922379,0.58295625,0.50936,0.40690008,0.32190764,0.28034872,0.2785827,0.30307105,0.35145947,0.42632046,0.51794165,0.5898302,0.60481775,0.5487943,0.45097837,0.35383883,0.28783086,0.25323305,0.24276991,0.25994024,0.31628433,0.40784714,0.4967208,0.53411776,0.49288905,0.39424822,0.2838491,0.20055263,0.15398823,0.14017369,0.16216354,0.23032244,0.34274033,0.46484295,0.54570675,0.5492568,0.48309478,0.3871924,0.30530074,0.26115894,0.25906104,0.2977326,0.37290204,0.47109953,0.55825406,0.59365803,0.5537481,0.4562035,0.3460821,0.26460618,0.22244781,0.20930289,0.21962124,0.2631414,0.34867653,0.457651,0.5462127,0.57232887,0.5302709,0.45146236,0.3767724,0.32622978,0.2966696,0.28443214,0.300315,0.35848692,0.44939813,0.5298584,0.5502717,0.49156043,0.3824893,0.27124697,0.19237965,0.1523705,0.14942168,0.19053268,0.28214812,0.40919092,0.5219087,0.5682159,0.5243073,0.4192984,0.30455577,0.22560483,0.19605963,0.21110912,0.26136187,0.3397056,0.43302822,0.51178485,0.5440545,0.51528364,0.4480165,0.38213632,0.3467013,0.34049284,0.34818503,0.3655894,0.40341964,0.46909544,0.5430276,0.58752614,0.57292074,0.5049634,0.41672325,0.34122404,0.2903081,0.26133028,0.25936332,0.29872918,0.3849946,0.4895285,0.55993634,0.5523831,0.46671942,0.3432397,0.23093541,0.15643902,0.12084094,0.12075758,0.16070473,0.24341376,0.34888864,0.43276632,0.45397058,0.40545925,0.3205503,0.24455158,0.20547603,0.20518677,0.23536237,0.29180634,0.37086412,0.4577023,0.5195535,0.52756006,0.47747293,0.40209946,0.3423612,0.32076433,0.3284463,0.34860078,0.3778758,0.4254819,0.49343526,0.5574771,0.58257526,0.5460014,0.4624749,0.3665476,0.29021677,0.24155687,0.21842094,0.22519152,0.27276453,0.36033347,0.4547222,0.5084416,0.48752156,0.4035859,0.29721642,0.21076585,0.1603461,0.14502645,0.16633207,0.23212163,0.34166908,0.46264127,0.5452621,0.54967636,0.4804637,0.37834358,0.29405752,0.25736496,0.27186587,0.32702962,0.40884563,0.5021283,0.58192056,0.61786556,0.5901052,0.5123133,0.42673048,0.3749884,0.36606613,0.38106704,0.40124235,0.42998686,0.4788661,0.5428408,0.5892878,0.5829103,0.51341575,0.40786064,0.305192,0.23166716,0.19097428,0.18337665,0.2174352,0.30009955,0.41502413,0.5139683,0.54695433,0.4939936,0.3850275,0.26951587,0.18616061,0.14250211,0.13490462,0.16664715,0.24648035,0.36733794,0.4888958,0.5593168,0.5460102,0.46463427,0.3603454,0.28172836,0.25178394,0.27126637,0.32717624,0.40448508,0.4850788,0.544797,0.5586572,0.51686287,0.43863294,0.361086,0.3114587,0.29032695,0.28444365,0.29368302,0.3327966,0.41081104,0.50368434,0.5654545,0.5590543,0.48922476,0.3944497,0.31587014,0.2693249,0.24896969,0.25151214,0.28666037,0.36293247,0.4612781,0.53431344,0.5361374,0.4580543,0.3361738,0.22114956,0.14617215,0.116093874,0.12734807,0.18175071,0.28098914,0.40541577,0.509721,0.5480681,0.50623226,0.41304436,0.3157942,0.2519483,0.23373328,0.25777182,0.31515828,0.39413655,0.47558293,0.5290894,0.52918977,0.4701549,0.3804975,0.29900455,0.2524441,0.23823828,0.2452401,0.27235016,0.3304131,0.41959596,0.5120324,0.56436825,0.5487394,0.47555923,0.38218474,0.3028729,0.2503372,0.22341646,0.22799872,0.2765843,0.3694849,0.47272834,0.5324363,0.5101686,0.41490078,0.2926569,0.19117634,0.13177274,0.11307622,0.13349181,0.1987151,0.30779216,0.43314233,0.5257461,0.545839,0.4904469,0.39615306,0.30943787,0.2635532,0.2658749,0.31128803,0.38772416,0.48017788,0.5629572,0.603076,0.5771245,0.49044144,0.3799291,0.28709358,0.23329724,0.21506123,0.22593813,0.27036482,0.35421416,0.46259794,0.5541876,0.58614326,0.5465515,0.46483734,0.38586688,0.33666468,0.31239256,0.29252943,0.2616156,0.21916325,0.17295158,0.13123485,0.09861791,0.077942826,0.070416905,0.0744668,0.08449785,0.096877456,0.11738672,0.16541089,0.2566983,0.3845006,0.50639486,0.5722875,0.55565757,0.4773885,0.383711,0.31763908,0.2969061,0.31907472,0.3733313,0.44631323,0.5196584,0.56688976,0.5628243,0.5016596,0.40644932,0.3168596,0.26052755,0.2398922,0.2420039,0.2625462,0.31019914,0.39107275,0.48670635,0.55679464,0.5657051,0.5111846,0.42583552,0.3484808,0.29800442,0.2713306,0.26698038,0.29632744,0.36982027,0.47066173,0.5501156,0.5598249,0.48707294,0.3674233,0.25135803,0.17254935,0.13491854,0.13491039,0.1769582,0.2659086,0.38561738,0.49010214,0.5322011,0.49373496,0.40308118,0.3083033,0.2502555,0.2413116,0.27570736,0.3409536,0.42576694,0.51406676,0.57793206,0.5885634,0.5361229,0.44762495,0.36751768,0.32737347,0.3249707,0.34209633,0.37047753,0.41803113,0.48915306,0.563196,0.6029288,0.5820209,0.5099167,0.4218676,0.35011053,0.30302146,0.27440777,0.26728842,0.29698274,0.37101746,0.46278,0.52174526,0.5073452,0.42296323,0.30942234,0.21174298,0.15131769,0.12690315,0.13781382,0.1910464,0.2905101,0.41243443,0.5099795,0.5382547,0.4893113,0.39559314,0.30630708,0.2565268,0.25480887,0.2942295,0.36433208,0.45492277,0.5458619,0.60437304,0.60041255,0.5319316,0.43404105,0.35359016,0.31579304,0.3130388,0.32640138,0.3499844,0.39012694,0.4473497,0.5002349,0.51948094,0.48964503,0.42698643,0.36149296,0.31472906,0.28593695,0.26999694,0.2753774,0.31910038,0.40275562,0.4901247,0.53040576,0.49036026,0.3876047,0.26761368,0.17454575,0.12215674,0.10779896,0.13159104,0.20185427,0.31667838,0.4426867,0.5280729,0.53392446,0.46673974,0.36822093,0.2856931,0.24295723,0.24146044,0.27566236,0.34111142,0.4284737,0.51106024,0.5529606,0.52992576,0.45256147,0.3582116,0.28350654,0.24018095,0.22126113,0.22453779,0.26131138,0.34117714,0.4465219,0.5333535,0.55755264,0.5092543,0.41887033,0.3306752,0.27160752,0.24218352,0.23815112,0.26610413,0.33709037,0.43934068,0.52848506,0.55240786,0.4902716,0.37103534,0.24739814,0.15977909,0.117727585,0.11690398,0.15823336,0.2454937,0.36623582,0.4788897,0.5361895,0.514463,0.4342866,0.33796373,0.2636472,0.22582696,0.22565287,0.26306304,0.33814374,0.43977094,0.53297395,0.57592154,0.5462476,0.46765104,0.38844347,0.34676197,0.3425955,0.35493946,0.3721907,0.4027352,0.45826435,0.5252132,0.5692853,0.55632925,0.4859434,0.38693222,0.29685268,0.23420133,0.20083298,0.19890608,0.23842062,0.3239577,0.43129918,0.5115678,0.519343,0.44836554,0.3345382,0.22710879,0.15676387,0.12795782,0.13903904,0.19307427,0.29123905,0.4108664,0.5066456,0.53521585,0.4868587,0.39207897,0.2969502,0.23546235,0.21591596,0.23332278,0.2810051,0.35511908,0.44305357,0.5158645,0.5398331,0.502675,0.43069676,0.36837506,0.34405553,0.3526068,0.37542963,0.40637347,0.452487,0.51423365,0.56802446,0.5820935,0.5404962,0.46144822,0.37827408,0.31555495,0.27481052,0.25111958,0.25234997,0.29627112,0.3866391,0.4893365,0.5492082,0.52623034,0.4303224,0.30823925,0.2084003,0.15108217,0.13393873,0.15636005,0.22489035,0.33951518,0.46835718,0.5597212,0.57050115,0.5020602,0.39410385,0.2976228,0.24301462,0.2351226,0.26680192,0.3306491,0.41773286,0.50540566,0.5582846,0.5473639,0.47501746,0.3769516,0.29482132,0.24845518,0.23321629,0.24283242,0.282537,0.35844657,0.45517114,0.5336807,0.55661124,0.51740825,0.44506976,0.37671766,0.33068028,0.3008158,0.2800952,0.27656004,0.30893326,0.37877354,0.45500717,0.48892364,0.450464,0.35429558,0.24432115,0.16123669,0.11887001,0.11608765,0.15550189,0.24194579,0.3642075,0.47872305,0.53495485,0.50576705,0.41398028,0.3077457,0.23158139,0.20041995,0.2104671,0.2548952,0.33030793,0.42640033,0.51310784,0.5522494,0.5213262,0.43581256,0.33687615,0.26188445,0.2234872,0.2165562,0.2409839,0.30357078,0.4045024,0.5145695,0.5867417,0.5824124,0.5033665,0.38696766,0.2789174,0.20493193,0.16812456,0.16881609,0.2132476,0.30457973,0.41910806,0.5077413,0.52216315,0.45168194,0.3306806,0.21178953,0.13029125,0.08963978,0.07587554,0.07589585,0.08477217,0.1000672,0.11695095,0.12937999,0.13380559,0.13080461,0.12300283,0.11270077,0.1009759,0.08827722,0.075285874,0.06291035,0.051941242,0.042676445,0.03505558,0.028902354,0.024032762,0.020196212,0.01705793,0.014387023,0.012181909,0.0107052075,0.010190584,0.010627817,0.011588014,0.01249197,0.012891217,0.012698966,0.012064132,0.011173934,0.0101478165,0.009065053,0.008053835,0.007254794,0.0067579746,0.0065131797,0.0063732453,0.006186592,0.005886001,0.0054872036,0.0050314604,0.0045576594,0.004116287,0.0038071692,0.0037485203,0.003996194,0.0044602402,0.0049378374,0.005228519,0.0052510486,0.0050434135,0.0046940073,0.0042723394,0.0038255008,0.0033998487,0.0030493345,0.0028123565,0.0026824602,0.0026104779,0.0025364056,0.0024274152,0.002281565,0.002110178,0.0019212639,0.0017299484,0.0015726303,0.0015063187,0.0015709241,0.0017526792,0.0019744197,0.0021423101,0.0021981697,0.0021424023,0.0020104132,0.0018379182,0.0016501624,0.0014645521,0.0013039428,0.001186674,0.0011195216,0.0010853818,0.001057552,0.0010144326,0.00095271406,0.00087929773,0.00080054015,0.00071990234,0.00064615876,0.00060147553,0.00060968025,0.00067702617,0.0007764337,0.000863544,0.0009031512,0.0008901227,0.00084043766,0.0007729788,0.0006974684,0.00061853,0.00054365926,0.00048392694,0.00044691958,0.00042958776,0.0004199874,0.00040596048,0.00038273886,0.00035267053,0.000319908,0.00028711496,0.0002572052,0.0002367606,0.00023464944,0.00025542287,0.00029259743,0.00033040004,0.0003532309,0.0003548553,0.00033898896,0.00031295148,0.00028220846,0.00024988726,0.00021921204,0.00019427495,0.0001780638,0.00017019094,0.00016664808,0.00016262093,0.00015515431,0.00014428292,0.00013137214,0.00011781496,0.00010479128,9.4459625E-05,9.029065E-05,9.5072995E-05,0.00010829117,0.00012477243,0.00013766409,0.000142147,0.00013795728,0.00012783411,0.00011499063,0.0001015006,8.853475E-05,7.735179E-05,6.914471E-05,6.443299E-05,6.224699E-05,6.0823822E-05,5.86581E-05,5.533871E-05,5.1233335E-05,4.6794317E-05,4.2418047E-05,3.866201E-05,3.669523E-05,3.7596194E-05,4.15731E-05,4.7119946E-05,5.188449E-05,5.3943102E-05,5.2952E-05,4.982667E-05,4.5756795E-05,4.1524123E-05,3.7414822E-05,3.3682307E-05,3.055222E-05,2.823172E-05,2.6612832E-05,2.5490643E-05,2.4648742E-05,2.40282E-05,2.3532608E-05,2.299941E-05,2.2262784E-05,2.1350685E-05,2.0511825E-05,2.0071282E-05,2.021574E-05,2.085028E-05,2.1669883E-05,2.2339542E-05,2.2721875E-05,2.2834893E-05,2.2737644E-05,2.2273154E-05,2.1121037E-05,1.8956789E-05,1.5852367E-05,1.235611E-05,9.2525215E-06,7.109785E-06,6.0797083E-06,6.0989933E-06,7.0592655E-06,8.778966E-06,1.077845E-05,1.2288583E-05,1.2606909E-05,1.1507193E-05,9.442805E-06,7.2494436E-06,5.7057027E-06,5.204065E-06,5.757338E-06,7.174545E-06,9.126837E-06,1.1165233E-05,1.269899E-05,1.3175763E-05,1.2267742E-05,1.0144547E-05,7.431052E-06,5.0166623E-06,3.574463E-06,3.4082823E-06,4.4575936E-06,6.305399E-06,8.155279E-06,8.895938E-06,7.952135E-06,5.64474E-06,3.263848E-06,2.0453788E-06]