[0.4032951,0.38654158,0.35230887,0.3141177,0.2829291,0.26093233,0.24154538,0.21616119,0.1819491,0.14806087,0.128212,0.13188821,0.15481025,0.18562233,0.21244603,0.23053057,0.23854195,0.23581278,0.2214319,0.19867887,0.17791758,0.17131639,0.18351328,0.20507342,0.21773897,0.20698762,0.17290483,0.13152249,0.10533297,0.10911107,0.14188461,0.18826483,0.23138034,0.26027462,0.27369073,0.2724254,0.25792173,0.23162161,0.19983943,0.17247652,0.15840727,0.1598279,0.17144309,0.18514861,0.19499797,0.200161,0.20478804,0.21552242,0.23715575,0.26750207,0.2981081,0.31948557,0.3282015,0.32692838,0.32048395,0.3115417,0.3007661,0.28841707,0.27489212,0.26019064,0.2435606,0.22457798,0.20440249,0.18728025,0.17955358,0.1862822,0.20640509,0.23226373,0.2542958,0.2671714,0.2715613,0.2711066,0.26907602,0.2672552,0.26647684,0.26713324,0.26913372,0.272409,0.27670062,0.28094622,0.2822588,0.27635258,0.26060787,0.23670544,0.21112187,0.19088571,0.17985494,0.1779329,0.1826397,0.1917041,0.2024522,0.21382745,0.22476055,0.23507245,0.24300615,0.24725163,0.24757953,0.2457669,0.24377298,0.24237722,0.24082096,0.2373706,0.23019506,0.21821778,0.20247181,0.18657851,0.17687584,0.17921422,0.19579251,0.22134526,0.24526365,0.25570276,0.24601285,0.2173524,0.17865932,0.14307618,0.12218696,0.121086456,0.13594095,0.15726973,0.17466426,0.18200006,0.1788977,0.16982101,0.16072632,0.15537669,0.154802,0.15889926,0.16944315,0.18794388,0.21285649,0.23795433,0.25701427,0.2679631,0.27378094,0.2786183,0.28397775,0.28764653,0.28484786,0.27216205,0.25068012,0.22867864,0.21719085,0.22357191,0.24485981,0.2707076,0.29014444,0.298494,0.29697236,0.2891375,0.2777363,0.26402855,0.24896652,0.23291354,0.21599503,0.19767535,0.17910989,0.16493404,0.16228299,0.17647934,0.20503469,0.23906986,0.26710176,0.28299388,0.28624237,0.28140476,0.2732447,0.2659388,0.26220262,0.26394185,0.27105877,0.2810583,0.2899008,0.2946098,0.2945288,0.29094967,0.28488252,0.276423,0.2644628,0.24908607,0.23156154,0.21501593,0.20119238,0.19115907,0.1857195,0.18807061,0.20127475,0.22463675,0.25174153,0.27399477,0.28572553,0.2868725,0.28085235,0.27235553,0.26445743,0.25870726,0.25334018,0.24479467,0.2293386,0.20754844,0.18558504,0.1725288,0.1746558,0.19057141,0.21285228,0.23221286,0.2435723,0.24634182,0.24359952,0.23881881,0.23537171,0.23575817,0.24093549,0.24967743,0.25871304,0.26583657,0.27041444,0.27327505,0.27269587,0.26575208,0.25034514,0.22951736,0.20974942,0.19776513,0.19606125,0.20203839,0.20968288,0.21435334,0.21570522,0.2176757,0.22323026,0.2322594,0.24135984,0.24817209,0.2516897,0.25282145,0.25265595,0.2529334,0.254735,0.2582555,0.26229426,0.26565626,0.26762643,0.2684897,0.2687275,0.26910076,0.2701817,0.2725269,0.27580723,0.27833083,0.2763569,0.2654234,0.24305706,0.21212207,0.1805098,0.1570841,0.14585616,0.14453311,0.14745016,0.15109943,0.15660687,0.16904409,0.19330274,0.2305383,0.27571425,0.31927523,0.3503563,0.3615967,0.35196933,0.3275955,0.2989688,0.27553654,0.26145962,0.2548834,0.25232664,0.25175095,0.25314996,0.25543737,0.25661492,0.25585124,0.25545672,0.25848043,0.26446602,0.2698526,0.27040085,0.26586685,0.25802654,0.2509717,0.24784535,0.2519851,0.2629107,0.27692166,0.2863609,0.28478315,0.26964757,0.24559234,0.2222898,0.20968948,0.21194051,0.22496764,0.24002643,0.24866505,0.24851502,0.24505012,0.25307867,0.28773904,0.35304347,0.43117467,0.493454,0.51972204,0.51353693,0.4936718,0.47717032,0.46823117,0.46219352,0.45542076,0.45130548,0.45995498,0.48751935,0.5279358,0.56155866,0.57154757,0.5568516,0.5282486,0.4936472,0.44824168,0.38910794,0.32117525,0.26194033,0.2270381,0.23164296,0.2808186,0.3654028,0.45546475,0.51658255,0.5322156,0.51229036,0.4811993,0.45706677,0.4460219,0.44506612,0.44956508,0.45704743,0.4693534,0.48997402,0.5182622,0.54730886,0.5713175,0.5908549,0.6083526,0.6186808,0.6094826,0.5755115,0.5248136,0.47706258,0.4477845,0.44499037,0.46021783,0.47557998,0.46688184,0.4264978,0.36516201,0.30805734,0.27058223,0.25373176,0.24902017,0.2509365,0.2595915,0.2741475,0.29043296,0.2998439,0.297855,0.28834864,0.28784987,0.31546625,0.37606463,0.4503862,0.5044849,0.51697344,0.4909419,0.44930443,0.41305342,0.39341354,0.3906378,0.40177128,0.42376444,0.4574071,0.50235885,0.55134916,0.5871144,0.59473246,0.5745583,0.5390572,0.49920788,0.4518038,0.39279953,0.3245956,0.26433817,0.22978628,0.23752022,0.29086673,0.37707582,0.46423838,0.51864356,0.52595836,0.4981959,0.46086362,0.43220007,0.41740522,0.41349646,0.41698134,0.42666313,0.4423952,0.46359396,0.4865013,0.50629634,0.52212685,0.5395084,0.5613768,0.5798357,0.57737476,0.54468244,0.48932323,0.4342035,0.40068778,0.39977896,0.42384648,0.45220545,0.4586848,0.4316623,0.37862936,0.32222497,0.28096008,0.26168743,0.259202,0.2637793,0.2669629,0.26474047,0.25878826,0.25292608,0.25073612,0.25635642,0.27785766,0.3252307,0.39609107,0.46961012,0.512329,0.5072684,0.46319863,0.4105582,0.374367,0.36544287,0.37902233,0.40509382,0.43492675,0.46584657,0.5006057,0.5378503,0.56854635,0.5799849,0.57133204,0.55095434,0.5292321,0.5033812,0.46709839,0.41411272,0.35035715,0.2894344,0.2561619,0.27111456,0.33537534,0.41972122,0.48269188,0.50058764,0.48051307,0.44857132,0.42477116,0.41482127,0.41299793,0.41364798,0.4145163,0.41848728,0.42802653,0.4421173,0.45560744,0.46698585,0.48227867,0.50680876,0.53515434,0.54862213,0.53489196,0.4970003,0.4552066,0.42748514,0.42360058,0.43751386,0.45418283,0.452459,0.42153177,0.36515298,0.3009011,0.24442326,0.20474745,0.18408133,0.18231523,0.1957705,0.21617007,0.23445354,0.24518014,0.25033376,0.25791815,0.28065217,0.32885465,0.3998238,0.47272977,0.5176992,0.51875985,0.48379847,0.43816146,0.40311083,0.3869357,0.385649,0.39291206,0.4056743,0.4269491,0.46065953,0.5019395,0.53633887,0.54813725,0.53777415,0.5132807,0.48249248,0.43794557,0.37684825,0.3037574,0.23735668,0.19364011,0.18856244,0.23051386,0.3139503,0.40952882,0.47793874,0.49691013,0.47628248,0.4447081,0.42476618,0.42104802,0.42634964,0.4328718,0.438354,0.44608298,0.45957318,0.47755775,0.4940406,0.5059577,0.5189217,0.53921676,0.5639896,0.57756543,0.5684317,0.537641,0.50086224,0.4732217,0.46498486,0.47407296,0.4896654,0.4958217,0.4876862,0.4748917,0.46903196,0.46850547,0.4595603,0.44114542,0.4275047,0.43930456,0.47564277,0.52150315,0.5567182,0.5755944,0.57959133,0.575072,0.56409174,0.5473382,0.5230164,0.49267736,0.46212003,0.44020566,0.43085375,0.42908204,0.42406216,0.40783894,0.38075328,0.3495529,0.32130614,0.2986414,0.27992857,0.26253566,0.24621855,0.23366249,0.22808844,0.23011307,0.23644911,0.24230622,0.24453644,0.24320756,0.23995982,0.23647682,0.23427625,0.23466772,0.23793428,0.24206293,0.24486293,0.24618055,0.24936073,0.2572458,0.26885602,0.27809307,0.2787142,0.26907647,0.25392035,0.2402731,0.23292877,0.23233742,0.23659869,0.24359338,0.25181404,0.25954133,0.26445413,0.26546028,0.26334727,0.26113307,0.2603772,0.26115146,0.26162946,0.26109827,0.25929895,0.25660765,0.2531943,0.2496268,0.24661462,0.24435383,0.24219583,0.23917867,0.23525316,0.23192768,0.23173715,0.23673314,0.24687809,0.2596959,0.27129555,0.27836168,0.27986184,0.27701104,0.27194348,0.265157,0.25547242,0.24138762,0.22479755,0.21118505,0.20735367,0.21590358,0.23358758,0.25371444,0.27166483,0.2866957,0.2995384,0.30899727,0.31200454,0.3064981,0.29344016,0.27628365,0.2590511,0.24491729,0.23584892,0.23263437,0.23516583,0.2423682,0.25203547,0.26038864,0.26239094,0.25286028,0.22941904,0.19484985,0.1586854,0.13311018,0.12835072,0.1455699,0.17787498,0.21228592,0.23874974,0.25238726,0.25473735,0.24745233,0.23068102,0.20368469,0.17007409,0.13893466,0.12216767,0.127187,0.15255918,0.18732393,0.2182697,0.23667188,0.24269228,0.24143147,0.2381894,0.23515473,0.23247771,0.22989301,0.22719066,0.22434361,0.22168142,0.22055937,0.22253151,0.22801287,0.23549478,0.24234055,0.24621664,0.24566494,0.24017638,0.22991578,0.21651088,0.20327687,0.19559413,0.1981297,0.21281861,0.23612988,0.26196253,0.2836424,0.29778883,0.30339336,0.30221537,0.2968336,0.29022124,0.28423524,0.2791666,0.27319905,0.2623172,0.24191453,0.21004711,0.17039847,0.13138999,0.10186113,0.08760489,0.09077508,0.111653715,0.14740264,0.19146144,0.2336088,0.2658789,0.28532806,0.29489958,0.29850084,0.2991598,0.29801092,0.29602277,0.29363707,0.29058906,0.28521693,0.2751085,0.25776467,0.23188227,0.19854133,0.16165054,0.12702082,0.099780254,0.08241237,0.07381443,0.070862,0.070263036,0.0703521,0.07069996,0.07128044,0.0715907,0.07133862,0.07074062,0.07035983,0.070307285,0.0702962,0.07024006,0.07023545,0.07034358,0.070195146,0.069820724,0.06955148,0.06988918,0.07067429,0.071650356,0.0727331,0.074124485,0.07563606,0.07681611,0.07742294,0.07765738,0.0777125,0.07744157,0.07685683,0.07639291,0.07669329,0.077709846,0.07887482,0.07960856,0.079951346,0.08019262,0.080537856,0.081141405,0.08227795,0.08419194,0.086475305,0.08815076,0.08826407,0.0867056,0.08423216,0.08178843,0.080374934,0.081513986,0.08849051,0.105003245,0.13237281,0.16631187,0.19868422,0.22229181,0.23544739,0.24135156,0.2442699,0.24673097,0.24963854,0.25351414,0.25730154,0.25800908,0.25226,0.24164058,0.2324252,0.23145515,0.23890926,0.24962755,0.2576523,0.26147023,0.26240468,0.26182643,0.25954473,0.2552335,0.2500136,0.24598722,0.24483772,0.24567914,0.24561535,0.24154836,0.23384607,0.22663075,0.22451816,0.22729945,0.22817002,0.2194288,0.19962722,0.18011843,0.17905878,0.21316914,0.28023505,0.35978636,0.4193748,0.44161686,0.43027532,0.40746507,0.389979,0.38229612,0.37816596,0.37239346,0.3646797,0.35785353,0.354419,0.35428557,0.35617635,0.35821626,0.36039758,0.36315122,0.3672026,0.37110415,0.37302324,0.37156418,0.3673834,0.36210063,0.3572065,0.35388863,0.35257205,0.352914,0.35285845,0.3502595,0.34440482,0.33735538,0.33218262,0.33104318,0.33369443,0.33833075,0.3424785,0.34448877,0.34405008,0.34243095,0.34149864,0.34234476,0.3447468,0.34683812,0.34620705,0.3402379,0.3283261,0.3123003,0.29698288,0.28758073,0.2881166,0.29908633,0.317274,0.33643493,0.350587,0.35727826,0.35814714,0.35652617,0.35416928,0.35110196,0.3467462,0.34145215,0.3360242,0.33100688,0.3264191,0.32183066,0.31770086,0.31536862,0.31746826,0.3252114,0.33771694,0.3511916,0.36243057,0.36981925,0.37446225,0.3773392,0.3790678,0.37925687,0.37786588,0.37488136,0.369889,0.36251915,0.35249496,0.3413709,0.33143723,0.32684627,0.33059803,0.34351337,0.36095154,0.37577334,0.38195834,0.37891415,0.37012112,0.35938048,0.3482051,0.33580956,0.32202157,0.30805385,0.29685166,0.29022178,0.28808835,0.2885604,0.29068065,0.29502103,0.30248067,0.3120569,0.32119524,0.32752398,0.33057356,0.33112904,0.330442,0.329198,0.3277721,0.32615116,0.32428488,0.32247588,0.32142198,0.3221244,0.3248448,0.3291299,0.33361676,0.33626172,0.33404994,0.32399428,0.30576876,0.28324383,0.26369217,0.2534947,0.25570735,0.2685475,0.28737673,0.30600762,0.31980312,0.32689974,0.32863846,0.32968286,0.33757424,0.3620393,0.40530857,0.45675159,0.49237013,0.4942663,0.46235058,0.4174252,0.38420787,0.38016698,0.4079964,0.4558442,0.5000243,0.5161505,0.49495086,0.44774425,0.39925346,0.371506,0.37755522,0.41525283,0.46882114,0.5104169,0.5188313,0.49179736,0.44863424,0.4133605,0.40231332,0.41947415,0.4571767,0.49737707,0.51754963,0.5060614,0.47042444,0.43259516,0.412244,0.41871023,0.44914842,0.49113867,0.5233242,0.5256749,0.49261877,0.43859577,0.38845742,0.3623086,0.37073347,0.40928808,0.46020555,0.4921205,0.4829754,0.43305779,0.36884013,0.32047984,0.3082765,0.33644986,0.39395759,0.4548241,0.48665726,0.4721177,0.42032817,0.36158776,0.32489765,0.32706007,0.36603776,0.42413282,0.47070396,0.48025656,0.448603,0.39594844,0.3516456,0.3357089,0.35512456,0.40093836,0.4548017,0.49176598,0.501341,0.49010515,0.47897968,0.48002985,0.49542797,0.51762074,0.53805846,0.5455832,0.53331256,0.5069524,0.4822165,0.47465765,0.48532543,0.5085663,0.533459,0.552254,0.5538978,0.53633195,0.5061267,0.47902516,0.46498302,0.4665306,0.48185644,0.5055285,0.5284043,0.5365376,0.5290474,0.51660085,0.5163526,0.52697206,0.5340326,0.5206384,0.4875522,0.44847855,0.4189557,0.40336573,0.39526382,0.38529947,0.36977756,0.35210976,0.3375082,0.3267449,0.31599477,0.30084264,0.2809169,0.25968346,0.24229734,0.23385094,0.23837917,0.25784287,0.2889582,0.32374763,0.3521744,0.3676091,0.36884382,0.35938856,0.3454187,0.33213866,0.32205907,0.31340036,0.30360636,0.29169807,0.28030077,0.27557603,0.28692755,0.32559276,0.3942103,0.48050943,0.5563037,0.5988491,0.6030405,0.5860885,0.56701297,0.557231,0.5551324,0.55713403,0.56133294,0.57166284,0.59294677,0.62416077,0.65473485,0.66918904,0.6628151,0.6429396,0.6232597,0.6071344,0.59203833,0.57472426,0.5595708,0.5508742,0.5491783,0.5494713,0.54685354,0.54032964,0.5335713,0.5320069,0.53516096,0.53679186,0.5282629,0.5113145,0.49554566,0.4923137,0.5034525,0.5247073,0.55243444,0.5830376,0.6111613,0.6271696,0.63112926,0.6293912,0.63042945,0.62784845,0.6120436,0.5788609,0.5405074,0.51123804,0.50047475,0.50687844,0.52461714,0.5454152,0.5637147,0.5806106,0.59959,0.6195111,0.6274297,0.61198765,0.57398456,0.53125006,0.5030926,0.49883428,0.51468754,0.53872913,0.5600936,0.5727299,0.5819805,0.59284383,0.60471946,0.60365945,0.5813124,0.5416617,0.5030399,0.4793061,0.4729747,0.4765618,0.48150054,0.4847909,0.48898828,0.5025227,0.5286331,0.5626707,0.58930093,0.6003551,0.5967156,0.5884549,0.5781305,0.5643223,0.5448923,0.52475697,0.5088947,0.4991418,0.49282917,0.48786533,0.48461875,0.48619223,0.49612412,0.51333266,0.53173774,0.5414455,0.5394526,0.5298546,0.5229431,0.52548504,0.5403387,0.5665705,0.5979023,0.62365407,0.63231605,0.6257,0.6156104,0.6129822,0.6125881,0.601199,0.57455057,0.5437083,0.5254231,0.52670234,0.543463,0.562996,0.57353956,0.56996936,0.56171197,0.5619116,0.5749199,0.5851124,0.57573277,0.5436707,0.5057887,0.47998312,0.47384426,0.48247123,0.49420643,0.49925146,0.49427465,0.49119473,0.5031021,0.53351456,0.5629452,0.5711641,0.5509836,0.51757604,0.48804066,0.47116938,0.46408662,0.46212903,0.4642882,0.47342077,0.49340758,0.5210602,0.54612917,0.5550012,0.54698104,0.53235674,0.5243113,0.5209177,0.5128426,0.49411663,0.47209367,0.45677567,0.4516028,0.45179984,0.45149088,0.44971764,0.44958046,0.45556495,0.46696666,0.4777898,0.47857735,0.4673238,0.450933,0.44179976,0.447629,0.46985757,0.5074057,0.55405194,0.5986232,0.6249071,0.6298349,0.6218063,0.6137614,0.60320824,0.58091575,0.54336685,0.5021024,0.47235203,0.46292016,0.47462472,0.5009041,0.531286,0.5536136,0.5676393,0.5793348,0.5935548,0.597835,0.5787068,0.53363746,0.4804037,0.43949172,0.42377535,0.4341867,0.4629259,0.49818072,0.52799016,0.55123645,0.5699467,0.58293676,0.5751689,0.5382631,0.48159918,0.43461192,0.42077675,0.4435184,0.48640192,0.52919084,0.5607175,0.58189964,0.6025364,0.62919307,0.65983,0.6825371,0.6893079,0.68147206,0.6688754,0.65801233,0.64923483,0.639947,0.62980765,0.62133604,0.617081,0.61936873,0.6260884,0.6331046,0.6349488,0.63499933,0.63917524,0.64979106,0.6554444,0.6433432,0.6121311,0.5761644,0.5529012,0.54862803,0.55833274,0.570298,0.5778441,0.58015037,0.58652925,0.603212,0.6298179,0.65462327,0.67150265,0.6829467,0.69567776,0.70730156,0.7086851,0.6975537,0.68048817,0.6675829,0.6594109,0.65462106,0.6499081,0.64682215,0.6438029,0.6437094,0.6479182,0.65793157,0.6672764,0.6706481,0.6663788,0.6586299,0.648549,0.63237786,0.6029348,0.55601186,0.49299264,0.4231776,0.35921168,0.31246695,0.2857667,0.27399185,0.26648095,0.2531206,0.22857659,0.19468713,0.15871425,0.12798007,0.10559168,0.0901267,0.07914495,0.07237614,0.07162973,0.07828242,0.09052854,0.10351529,0.11174321,0.11210847,0.10520536,0.09467843,0.086141855,0.08489003,0.093497254,0.10898021,0.12410029,0.13120091,0.12724589,0.114782095,0.1000487,0.089702465,0.088141434,0.09571195,0.10802416,0.11838009,0.12132645,0.11583058,0.104767315,0.09314793,0.08543784,0.08482039,0.0926406,0.10989996,0.13657159,0.1709509,0.20717192,0.23813587,0.25817254,0.2665577,0.26378664,0.25198075,0.2336448,0.2163239,0.20616968,0.20665257,0.21262151,0.21994816,0.22581643,0.23282717,0.23886405,0.23817617,0.22279178,0.19591884,0.17585778,0.1908763,0.25557482,0.35449234,0.4449736,0.4894522,0.4809605,0.44368753,0.407415,0.38679704,0.38149214,0.38485062,0.39433363,0.41083714,0.44021884,0.48199496,0.52611876,0.5519586,0.5492447,0.5231075,0.49049196,0.4584945,0.42550063,0.38777855,0.3501838,0.32218862,0.31412232,0.33662722,0.39072892,0.46157944,0.51465654,0.5242187,0.4886149,0.43482038,0.38954353,0.36627182,0.3623323,0.37178946,0.39030233,0.41509077,0.44534692,0.47577348,0.5012751,0.51453334,0.5216948,0.53016967,0.54406005,0.5482895,0.5280373,0.48326513,0.4346261,0.40601292,0.4062917,0.42891565,0.45375082,0.460143,0.43037817,0.36628696,0.28509775,0.21422161,0.17100452,0.15969111,0.1725175,0.19785966,0.22534911,0.24778658,0.2638822,0.27399972,0.28248346,0.29595175,0.3279786,0.384745,0.45565653,0.50845736,0.51606447,0.4781729,0.4234629,0.38374078,0.37120673,0.37933242,0.39442503,0.41029835,0.42820537,0.45630404,0.4957758,0.5364251,0.5573337,0.5487578,0.5172717,0.47966895,0.44049513,0.39411283,0.33466744,0.26897463,0.21252257,0.18438794,0.20214891,0.26987472,0.36714306,0.4512774,0.48811987,0.47618353,0.44490662,0.42415926,0.42330348,0.4337767,0.444281,0.4522175,0.4608208,0.4771507,0.4999706,0.5246191,0.54096603,0.5526965,0.5646405,0.5805869,0.58552164,0.56658655,0.52328295,0.47511896,0.4434178,0.43826118,0.4564509,0.48429704,0.5053949,0.5036127,0.47533047,0.4283007,0.37949327,0.34116268,0.3199991,0.31581083,0.32639968,0.34601998,0.36753103,0.38489547,0.39663824,0.40670133,0.42169178,0.44892946,0.4885628,0.5310252,0.55677825,0.5530274,0.5226006,0.48463824,0.4565234,0.44474837,0.4443144,0.4482598,0.4529002,0.4600338,0.47615632,0.50498575,0.5410761,0.5682149,0.5738571,0.55781096,0.5304645,0.4979594,0.45898077,0.4120407,0.36385453,0.32725465,0.3137294,0.33062193,0.375196,0.43374932,0.4813467,0.5009139,0.49177358,0.47094938,0.4539198,0.44750884,0.44953915,0.45693353,0.4677954,0.48091623,0.49579322,0.5102787,0.52191496,0.5283454,0.5336144,0.54294163,0.55570835,0.55934733,0.54085094,0.50125116,0.45733485,0.42957845,0.4267516,0.44547823,0.47045314,0.48299316,0.46524844,0.41672444,0.354223,0.3042613,0.28110814,0.28225365,0.29564807,0.31256732,0.33103168,0.35056984,0.3697721,0.38604307,0.40007284,0.4159976,0.44117424,0.47838566,0.521556,0.5545836,0.56480736,0.55157554,0.52776676,0.5067201,0.4950308,0.49201214,0.49502555,0.5026359,0.51479787,0.53384,0.5583809,0.58101606,0.5875995,0.5723378,0.5409265,0.5063848,0.47121885,0.42948756,0.37595508,0.31773123,0.2704087,0.25051013,0.270932,0.3324184,0.41982102,0.5008357,0.54801327,0.5528776,0.5301772,0.49767843,0.46332073,0.42443502,0.3784251,0.32973298,0.28656948,0.25608677,0.23946708,0.2341368,0.2351082,0.23923683,0.24431998,0.24983148,0.25353345,0.25416717,0.25160962,0.2489606,0.24848467,0.24984121,0.25132015,0.2522972,0.2546469,0.2580049,0.25988257,0.25606123,0.24613033,0.2332866,0.22345221,0.22144507,0.2286783,0.24191792,0.2541826,0.25832012,0.25061843,0.23521708,0.22512887,0.23952043,0.29010487,0.36912963,0.44805154,0.49784303,0.5092301,0.49605379,0.4790633,0.46921346,0.46674538,0.46764672,0.47189984,0.48275208,0.50492555,0.5367034,0.56742007,0.5808072,0.56935614,0.539295,0.50353813,0.46630487,0.42307946,0.37023,0.3135945,0.265475,0.23961835,0.2503512,0.30398503,0.38930944,0.47281146,0.52172536,0.5259006,0.50311583,0.47823492,0.4634768,0.4581926,0.4560269,0.4554764,0.45722458,0.46588722,0.48249087,0.5052235,0.5268555,0.54436797,0.5574658,0.567257,0.5673361,0.55127233,0.5194263,0.48373118,0.4578892,0.4490558,0.455224,0.46618202,0.4682525,0.44894683,0.40948835,0.3635806,0.32986823,0.31454456,0.31193188,0.31230164,0.3128444,0.3157393,0.32161403,0.32621863,0.32326615,0.31204498,0.3012575,0.30864337,0.34738708,0.4135735,0.4813865,0.52253884,0.52552366,0.5030964,0.47596624,0.45819378,0.45194313,0.45392156,0.46093586,0.4728098,0.4926833,0.5216233,0.55413634,0.577087,0.5814626,0.5671796,0.541179,0.5049004,0.45569238,0.39361843,0.32915676,0.27897593,0.25914037,0.2807109,0.34240496,0.42639264,0.49969244,0.534915,0.52691704,0.49445376,0.46194792,0.44276056,0.43801168,0.44214964,0.45140925,0.46354327,0.47927988,0.4973887,0.51471686,0.5266964,0.53430814,0.54215735,0.55183417,0.55502415,0.54064745,0.5064865,0.46355307,0.42834005,0.41240516,0.41902444,0.44061217,0.46256563,0.4660344,0.4436619,0.40155408,0.35868776,0.32902768,0.31753168,0.31860074,0.3251791,0.3321978,0.33783022,0.34220782,0.3441678,0.34414017,0.34546807,0.36004353,0.39624453,0.45014986,0.49714565,0.5136356,0.49442467,0.45991495,0.43491325,0.43120614,0.4449204,0.46591118,0.48816386,0.5096548,0.53440887,0.5644336,0.5984797,0.62631863,0.6398964,0.6356087,0.617873,0.5886621,0.5479324,0.49342108,0.42700636,0.3569175,0.3009435,0.28354058,0.31901404,0.39676055,0.47951975,0.5322128,0.5436459,0.531117,0.5163455,0.5099585,0.5093251,0.50917685,0.50866127,0.5104256,0.5182002,0.53009444,0.5408139,0.5442099,0.5438884,0.54760134,0.55909896,0.5670944,0.55684066,0.5244944,0.4841993,0.45586738,0.44992065,0.46386945,0.4835887,0.49316427,0.47748914,0.43508938,0.375366,0.31685278,0.27264532,0.24953187,0.24681103,0.26018158,0.28186902,0.3036013,0.3206904,0.3322982,0.34145042,0.3531443,0.3762736,0.41551223,0.46563324,0.50904197,0.53100353,0.5304425,0.5192621,0.50948906,0.50477356,0.5038976,0.50469166,0.5080958,0.5160138,0.53268796,0.5578292,0.5836876,0.59511954,0.5837241,0.55399925,0.5174501,0.47809282,0.4303069,0.3707697,0.30552968,0.24956274,0.2178138,0.2258168,0.27901828,0.36607942,0.45337018,0.5097801,0.5265386,0.5221818,0.51811177,0.5218709,0.52736425,0.52858007,0.52634,0.52529603,0.52815837,0.5323584,0.5333967,0.529738,0.52767015,0.5349123,0.5514066,0.5657419,0.56549865,0.5500855,0.5292883,0.5145969,0.5093469,0.5127794,0.51892966,0.5206285,0.5095076,0.48810637,0.4656222,0.45074308,0.43863788,0.42171094,0.4007685,0.38800564,0.39296994,0.41273102,0.43851778,0.46367213,0.48806843,0.5081139,0.51637435,0.5025582,0.46435276,0.40924266,0.35277757,0.3084434,0.28028437,0.26338854,0.25082695,0.24161129,0.2384447,0.24368136,0.25362659,0.2623818,0.2646279,0.25972307,0.25011164,0.23991771,0.23326735,0.23280181,0.23908563,0.2491277,0.2584938,0.2629104,0.2613627,0.25550738,0.24903882,0.24484766,0.24395722,0.24470454,0.24495871,0.24388866,0.24328934,0.24589224,0.25285044,0.2617708,0.267619,0.26638535,0.2583614,0.2480176,0.24030714,0.23728235,0.23792732,0.24020027,0.2423063,0.24204211,0.237191,0.22754435,0.21776891,0.21445058,0.22133978,0.23452915,0.2468967,0.25317833,0.25409576,0.25274494,0.25153393,0.2507248,0.24991763,0.2490323,0.24799575,0.24669099,0.24492854,0.2431003,0.24212657,0.2432726,0.24713345,0.252978,0.25876808,0.26258558,0.26386717,0.26315156,0.2606922,0.25527316,0.24588795,0.23331945,0.22100222,0.21223526,0.20881355,0.21050633,0.21678929,0.22654171,0.23814721,0.24951486,0.25949982,0.2681125,0.27574256,0.28204677,0.28529462,0.28336993,0.27523443,0.2626388,0.24957901,0.24032341,0.23698018,0.23887031,0.24332134,0.24729373,0.24805747,0.24353546,0.23193951,0.21321087,0.19051905,0.17140017,0.16422366,0.17322485,0.19460072,0.21925211,0.23836756,0.24837554,0.25023353,0.24613631,0.23640858,0.22047627,0.19915247,0.17713004,0.16139352,0.15868936,0.1708262,0.19389562,0.21914989,0.23872817,0.24889652,0.251387,0.2497303,0.24690627,0.24405478,0.24158198,0.2395643,0.23786525,0.23667745,0.23640488,0.23795353,0.2411875,0.24551213,0.24962182,0.25253615,0.25296566,0.2498117,0.24293955,0.23401766,0.2262538,0.22339903,0.22875576,0.24382895,0.26697618,0.29336223,0.317394,0.33528766,0.34605202,0.35021695,0.34923396,0.3452128,0.34079018,0.33762097,0.33544174,0.33129856,0.3206012,0.29861435,0.2642464,0.22181539,0.18043406,0.14920624,0.13396657,0.1362598,0.15422222,0.18259293,0.21325876,0.238487,0.2546012,0.26304433,0.26742157,0.27060112,0.27382347,0.27746138,0.28136405,0.28487208,0.28690037,0.286306,0.2816626,0.27137586,0.25406978,0.22984059,0.20088696,0.17125173,0.14545801,0.12670407,0.11577014,0.11094723,0.1094034,0.108782776,0.108017884,0.10718235,0.10647312,0.106324285,0.10677902,0.10794697,0.10901711,0.10946169,0.10889413,0.10786166,0.10670624,0.10575443,0.1050537,0.104646794,0.10419179,0.10334102,0.10225504,0.101727605,0.102334835,0.103740804,0.10510256,0.1057691,0.1056058,0.10454765,0.10268966,0.10058701,0.099096306,0.098776214,0.099217266,0.099784665,0.099941336,0.09982252,0.09953893,0.09950065,0.10002231,0.10140467,0.10323706,0.10477055,0.105434805,0.105380185,0.10517865,0.10519535,0.105394125,0.10582397,0.10769558,0.11421555,0.12873958,0.15155397,0.17715317,0.19843875,0.21228898,0.22250392,0.2337414,0.24644844,0.2569503,0.26282647,0.264649,0.26280704,0.25687328,0.24732159,0.23951294,0.23828338,0.24510963,0.2549522,0.26346385,0.268563,0.2720497,0.27538255,0.27939096,0.2835709,0.2870306,0.28867233,0.28793007,0.2848858,0.27978,0.2728159,0.26443252,0.2564677,0.25055897,0.24671914,0.24050206,0.22689681,0.20441099,0.18151893,0.17394131,0.19802539,0.25864682,0.34177044,0.4184172,0.45972064,0.45717752,0.42531693,0.39027405,0.3681403,0.3592846,0.35414222,0.34583938,0.33432516,0.32337332,0.31620264,0.31300104,0.3128434,0.3140198,0.31594643,0.3181338,0.3212167,0.32502803,0.3290926,0.33203474,0.33336106,0.33298853,0.3309167,0.3269976,0.32188475,0.31772837,0.31616735,0.3171508,0.3186773,0.31954587,0.31966054,0.31945896,0.3183771,0.31605878,0.31338948,0.31213847,0.31290302,0.3143429,0.31483614,0.31385526,0.31204623,0.30936074,0.305294,0.29910827,0.2912935,0.28253767,0.27441126,0.26884535,0.26895118,0.27650094,0.2907205,0.30686894,0.31966588,0.32544613,0.32514814,0.32171297,0.31877682,0.3169032,0.31540087,0.31278464,0.3098017,0.30729437,0.30591,0.30494174,0.30473673,0.30632147,0.3105422,0.31628168,0.32169092,0.32567748,0.32857755,0.33075058,0.33207145,0.33197558,0.3306526,0.3285478,0.3264244,0.3246117,0.32373038,0.32415286,0.32582417,0.3275478,0.32816753,0.32759562,0.32743207,0.32894298,0.33218327,0.33558774,0.33815667,0.33914194,0.3383908,0.33489028,0.32844082,0.31952158,0.31073743,0.30481943,0.30415788,0.30816123,0.31454834,0.32043245,0.3253063,0.32990536,0.3345525,0.33754408,0.33690405,0.3327177,0.32743916,0.32442343,0.3253143,0.33002332,0.33656374,0.34297243,0.3471789,0.3488895,0.34842077,0.3472499,0.3456042,0.34396937,0.34221077,0.34061542,0.3377322,0.3312062,0.31973934,0.30544615,0.29411367,0.29092172,0.29809186,0.31231382,0.32788554,0.33845937,0.3414959,0.33874193,0.33559963,0.33825603,0.35166112,0.37920308,0.4180392,0.45754993,0.48054397,0.47720012,0.45206046,0.42328596,0.40857777,0.41760835,0.4485227,0.48955473,0.52158946,0.52702636,0.50228053,0.45970085,0.42045036,0.40006372,0.40633237,0.434931,0.4725531,0.49688873,0.49271902,0.4600903,0.41708735,0.38440618,0.37719527,0.39755467,0.43601608,0.47180596,0.485427,0.4707617,0.43958244,0.409879,0.3943168,0.39792347,0.42006898,0.45183232,0.47512916,0.47237396,0.44233558,0.40053448,0.36809626,0.35686848,0.37007418,0.40031028,0.4330567,0.44730034,0.4335687,0.39832565,0.3626285,0.34271196,0.34691802,0.37357906,0.41460243,0.45256266,0.4682536,0.45375538,0.4187796,0.38360807,0.36518607,0.37316656,0.40646324,0.45277953,0.48814836,0.49245107,0.4635224,0.41961107,0.38407955,0.37218466,0.38730237,0.42206255,0.46000424,0.4818568,0.47857007,0.45704916,0.43405902,0.42289868,0.43003294,0.454334,0.4872872,0.5117821,0.5124745,0.4876349,0.45114625,0.42023322,0.4054468,0.4097419,0.43084383,0.46018183,0.48299086,0.48819783,0.4754121,0.4564204,0.4433879,0.44514105,0.4621209,0.48722163,0.5052735,0.5023304,0.47815958,0.44586813,0.4209589,0.40490445,0.3880932,0.35941085,0.31852418,0.2742106,0.2375289,0.21451168,0.20439792,0.20275837,0.20448142,0.20607029,0.20558216,0.2027259,0.19853197,0.1944408,0.19146125,0.18946332,0.18813978,0.18814681,0.19142748,0.20006068,0.21410589,0.23156977,0.24903826,0.2633971,0.27166885,0.27147147,0.26226696,0.2465887,0.22981282,0.21646754,0.20835406,0.20376496,0.20171048,0.20547517,0.22442846,0.26898447,0.3385961,0.41719636,0.47772995,0.5042154,0.49835065,0.47866344,0.4602486,0.45045862,0.44725454,0.4487003,0.4555907,0.47262588,0.50395226,0.54457825,0.57958657,0.59119153,0.5763985,0.5459795,0.5166563,0.49311855,0.47408235,0.4558055,0.44103035,0.4306921,0.42456234,0.42024484,0.41755804,0.41835883,0.42488194,0.43908247,0.456875,0.47050455,0.4702948,0.45759,0.44198582,0.4373647,0.4494103,0.47766376,0.5167262,0.5577836,0.5891942,0.6025339,0.6024141,0.59916025,0.59814936,0.58911705,0.56273746,0.51996213,0.47761095,0.45021236,0.44510683,0.45655665,0.47502872,0.4899008,0.49988,0.51133806,0.5300467,0.55045146,0.5573731,0.543081,0.5139378,0.48731044,0.47554252,0.48315153,0.5060029,0.5352898,0.559364,0.57141167,0.5754296,0.5795666,0.5866342,0.5877275,0.5769589,0.5565885,0.5391291,0.5312796,0.53254694,0.53583306,0.53675246,0.5361922,0.5392385,0.55128986,0.5698032,0.5867912,0.59164304,0.5850458,0.5717494,0.5595066,0.54609483,0.5308586,0.51248425,0.49563137,0.48179415,0.4725004,0.4673967,0.4669173,0.47151855,0.4821423,0.49998328,0.5219708,0.5405173,0.5459039,0.53692704,0.52099776,0.5104565,0.5120334,0.5272024,0.55305904,0.58214206,0.60378605,0.60854477,0.6010131,0.5911685,0.58707565,0.580348,0.5635,0.5357546,0.51034427,0.49733055,0.5005605,0.51348287,0.52751374,0.535171,0.53775436,0.543534,0.55840844,0.5765992,0.582009,0.5662465,0.5348893,0.50615036,0.49259654,0.49870953,0.5177519,0.540109,0.55465865,0.5584788,0.5574812,0.56028247,0.5668545,0.5665292,0.5518857,0.52564174,0.50096077,0.48633918,0.4834814,0.48668775,0.49218118,0.49964952,0.5137181,0.5375729,0.5661575,0.586833,0.5877604,0.57174975,0.5500133,0.5341199,0.5223972,0.51134187,0.49878633,0.4899343,0.48610666,0.48557222,0.48337924,0.47821355,0.47263765,0.47175416,0.47956386,0.49288455,0.5034454,0.5014489,0.48795328,0.471572,0.46472183,0.47182843,0.4927764,0.5231727,0.55543685,0.578615,0.58395904,0.5767398,0.5676063,0.5645067,0.55760664,0.5376461,0.5024018,0.46665144,0.4441247,0.44369408,0.46120822,0.4869425,0.50854754,0.5222862,0.53406805,0.55101556,0.5701212,0.5766223,0.56177527,0.5302606,0.5002888,0.485047,0.48913017,0.5062628,0.52709526,0.5416553,0.54618555,0.5458956,0.5480868,0.55420226,0.5549186,0.5439489,0.52202475,0.49944094,0.48275995,0.47487605,0.47337866,0.47650763,0.48397818,0.49846122,0.522675,0.5514265,0.5735359,0.5773286,0.56635374,0.54997855,0.5378341,0.5254462,0.5100136,0.4919871,0.48086405,0.48110703,0.49319816,0.5118525,0.5311019,0.544702,0.5508879,0.5553852,0.56506675,0.57950026,0.5864193,0.5755264,0.5480717,0.51913613,0.5032428,0.50621444,0.5221544,0.5396691,0.54860526,0.54705954,0.54342645,0.54675204,0.55886227,0.5706987,0.5769124,0.5783823,0.58168817,0.5858552,0.58660084,0.57956624,0.5649969,0.5429056,0.5144917,0.48504674,0.46147653,0.44610608,0.43351948,0.4219956,0.41380623,0.41371477,0.41608873,0.41635132,0.41368055,0.41490343,0.42095342,0.4296172,0.4421444,0.463114,0.49181715,0.51326966,0.51491493,0.49562183,0.4707186,0.45277023,0.4461321,0.4455453,0.44631758,0.44874874,0.45895085,0.48468065,0.52429813,0.5651596,0.5875127,0.58523554,0.56447697,0.5406713,0.51695365,0.4928806,0.46520844,0.44024763,0.4225506,0.41477016,0.41406658,0.41730013,0.4231911,0.43230602,0.44788417,0.46780217,0.48555633,0.48991624,0.4797676,0.46304396,0.45366076,0.45820895,0.4770025,0.5071266,0.54223114,0.57239914,0.5856776,0.5831489,0.5735269,0.56716746,0.5585609,0.5403895,0.5103129,0.48058033,0.4627385,0.46294835,0.47653195,0.49419641,0.50613356,0.5105152,0.5160489,0.53156465,0.5554169,0.5710643,0.56669474,0.5430644,0.5170556,0.5024622,0.50716037,0.52707976,0.5534777,0.57330805,0.5802291,0.57891816,0.5796464,0.5861528,0.58840084,0.57715654,0.5517972,0.52454823,0.5043619,0.49407473,0.48904848,0.4860293,0.48555353,0.49262658,0.5134723,0.5460692,0.5800453,0.5988102,0.59793735,0.5816596,0.5619865,0.5412924,0.5211783,0.50158906,0.48805323,0.48187414,0.48132595,0.4818995,0.4817294,0.4817047,0.4839808,0.49085262,0.501193,0.5115187,0.51524574,0.51073736,0.500364,0.49205753,0.49160156,0.5028005,0.52415353,0.5477802,0.5626506,0.56182414,0.55392534,0.55193156,0.5620229,0.5704994,0.5627931,0.5349733,0.50119793,0.47713843,0.47226933,0.48476997,0.5060835,0.5254359,0.5374448,0.54687995,0.5602257,0.5771654,0.585144,0.5755591,0.5498188,0.5224731,0.5058817,0.5068365,0.5221374,0.5422222,0.5556323,0.5574109,0.55565476,0.5596378,0.570039,0.57217485,0.556149,0.52422565,0.49292862,0.4742653,0.47147706,0.47858265,0.48913884,0.5001867,0.51369256,0.53441757,0.55989975,0.5806529,0.5831623,0.56843454,0.54559356,0.5275609,0.5131726,0.499987,0.48598966,0.4774681,0.47619644,0.4809046,0.4864752,0.49084702,0.49406567,0.49838257,0.5061924,0.5155348,0.5201593,0.5115761,0.49076557,0.46740067,0.45564637,0.4620068,0.48499572,0.5185999,0.5532697,0.57926077,0.5877742,0.58394235,0.57732016,0.57635325,0.5720181,0.55532444,0.52403104,0.49243307,0.473187,0.472548,0.48495856,0.5018196,0.5145759,0.52215576,0.5317026,0.5506353,0.5763535,0.5926457,0.5864952,0.5579945,0.5235413,0.49930394,0.49478984,0.5081074,0.53013605,0.5486081,0.5563322,0.5581611,0.56245524,0.5707627,0.5708933,0.5530923,0.52007586,0.48798892,0.47028682,0.4695104,0.47853455,0.48879632,0.49697256,0.50586754,0.52182627,0.5452292,0.56872624,0.57964796,0.57526714,0.56037164,0.5441735,0.52549726,0.50247675,0.47487128,0.45177397,0.4399513,0.4425179,0.45570615,0.4737111,0.4904869,0.50366825,0.51704645,0.53492755,0.5556796,0.56878895,0.56591606,0.5488743,0.52913994,0.51683784,0.515058,0.521019,0.529166,0.5340869,0.533272,0.53288597,0.5406379,0.55878806,0.5774257,0.58941483,0.59525275,0.60138386,0.6054593,0.6002763,0.5835798,0.56327206,0.5482631,0.53989434,0.5352981,0.53099006,0.52619547,0.5188597,0.5116007,0.50784016,0.5122034,0.5215533,0.5326768,0.5416984,0.5473273,0.5436421,0.52439237,0.4871426,0.43734792,0.38458574,0.33807716,0.30468002,0.28777012,0.28555632,0.2897158,0.28780866,0.26932123,0.23185545,0.18298817,0.13580997,0.10151889,0.08352829,0.07809609,0.07846048,0.08065554,0.08372965,0.088374674,0.09300352,0.095081024,0.092150785,0.084671386,0.074852735,0.06616164,0.061371967,0.061661124,0.06566736,0.07033724,0.07313805,0.073600434,0.07315015,0.07313714,0.07387646,0.07411558,0.07220485,0.06683779,0.059003145,0.051717788,0.048609268,0.05093963,0.05682824,0.06300533,0.06707395,0.06874194,0.06862571,0.06760474,0.066162944,0.064959906,0.06482479,0.06676952,0.07158687,0.078881085,0.08677872,0.09205297,0.092251174,0.08676525,0.077766396,0.06869796,0.063050285,0.061862152,0.063493825,0.06438487,0.06255465,0.058489043,0.05456749,0.052423134,0.05278947,0.056450743,0.06393945,0.074628554,0.08521846,0.0926998,0.09564629,0.09590769,0.095727235,0.09691816,0.09907042,0.100321926,0.09799695,0.091340415,0.0829902,0.0776479,0.078754954,0.08584043,0.096473835,0.10788911,0.11886415,0.12773424,0.13300145,0.13283151,0.12672986,0.11556995,0.10275593,0.09340932,0.09145204,0.09674864,0.10465027,0.1102775,0.111088954,0.10821614,0.103799105,0.10022258,0.0982266,0.09724733,0.09585703,0.094409764,0.09548197,0.10132087,0.11083812,0.11951408,0.124016054,0.12460369,0.12574048,0.13295083,0.15128708,0.18228823,0.22179502,0.26019022,0.28666675,0.295172,0.2860085,0.2653136,0.24215616,0.22654015,0.2249378,0.23655428,0.25409356,0.26797783,0.2739627,0.27230564,0.26686758,0.2565454,0.23769622,0.2060592,0.16964567,0.14935447,0.17324477,0.25169563,0.36541244,0.46939898,0.52680784,0.5303705,0.5036725,0.47471952,0.4579661,0.45198548,0.4501036,0.4497405,0.45398498,0.4698292,0.4982575,0.53118986,0.5520382,0.5529826,0.53653455,0.51319534,0.4844972,0.4487437,0.4058214,0.3651935,0.3384947,0.3354931,0.36212194,0.41399324,0.4743545,0.51528984,0.52068484,0.49432468,0.4584738,0.43118516,0.41845524,0.41620764,0.41997135,0.42945382,0.44600654,0.47148538,0.50062394,0.5246479,0.5329787,0.52939564,0.52336216,0.52410704,0.52291274,0.50922483,0.47968772,0.44797778,0.42855993,0.4284109,0.4424235,0.4577475,0.45798275,0.42963782,0.37258324,0.30139074,0.2390533,0.20227432,0.19561005,0.21149068,0.23769653,0.26337922,0.2833666,0.2976717,0.30776146,0.31640044,0.3288571,0.3561159,0.40328777,0.46190277,0.5065525,0.5177017,0.49518082,0.46042237,0.43445763,0.42613232,0.43048915,0.43949232,0.4484377,0.45901135,0.47728038,0.5046785,0.53344864,0.5478,0.54167914,0.5201339,0.49481392,0.4651505,0.42461634,0.3674455,0.30036035,0.23777474,0.20009398,0.20754115,0.26549786,0.35414317,0.431355,0.4665173,0.45851418,0.43469813,0.41973415,0.4210728,0.43051097,0.43849358,0.44297162,0.44822076,0.46198484,0.48431683,0.5079171,0.5202958,0.521837,0.5213818,0.52859396,0.53612447,0.53097165,0.50727576,0.47580382,0.45262757,0.4473021,0.4592738,0.47929415,0.49575678,0.49820527,0.4863694,0.4675425,0.45171592,0.44014826,0.42697522,0.40564668,0.37706605,0.34949708,0.33113587,0.3248383,0.32566696,0.3288573,0.3356816,0.35798073,0.40463102,0.46924564,0.52470666,0.5449719,0.52501744,0.48539317,0.45171618,0.43623284,0.4354103,0.43942547,0.44309315,0.44817257,0.462826,0.4908804,0.5265052,0.5528214,0.558503,0.5435138,0.51774675,0.4856834,0.44712195,0.40252554,0.35980985,0.3300245,0.32222104,0.34238005,0.38754842,0.44355205,0.48429856,0.49127522,0.46401,0.42254916,0.38819835,0.37251294,0.37341782,0.3832359,0.39582333,0.41027188,0.43074152,0.45766518,0.48596224,0.50549465,0.516027,0.5234661,0.53407997,0.5398784,0.5302976,0.5030624,0.47098574,0.44948402,0.44627002,0.45926592,0.4771721,0.48399004,0.46314892,0.4120822,0.34477982,0.28600362,0.25252947,0.24600865,0.25620195,0.27183282,0.28676486,0.2992773,0.30945376,0.3164847,0.32155576,0.33015263,0.35426795,0.40090534,0.4630356,0.5157366,0.5369746,0.52332705,0.49363136,0.46917626,0.4592352,0.45949993,0.46190107,0.46363828,0.4681609,0.48318455,0.5098226,0.54047686,0.55901676,0.55889153,0.54273415,0.5201253,0.4894085,0.44531277,0.38471723,0.31812835,0.2628094,0.23812038,0.2588887,0.32477722,0.4151393,0.49179482,0.52695554,0.5178479,0.48754808,0.45888534,0.44014862,0.42376316,0.40008536,0.36674497,0.33028713,0.29974577,0.2803094,0.27041808,0.26549008,0.26232505,0.26061046,0.2609656,0.26173022,0.26053104,0.2559649,0.2500508,0.2457063,0.24466878,0.24723107,0.25328955,0.26351094,0.27654037,0.28903934,0.29575586,0.29369855,0.28341734,0.2698243,0.25947943,0.2571886,0.26300836,0.27169043,0.27542987,0.26669905,0.244698,0.2197137,0.21552725,0.25280413,0.33199576,0.423076,0.4894457,0.51219875,0.50268,0.48291886,0.46827456,0.4604089,0.4563611,0.45540795,0.46138072,0.48000512,0.51099604,0.544246,0.5618039,0.55474836,0.52793616,0.49546888,0.46252254,0.42638263,0.38307276,0.33691657,0.29697165,0.27443728,0.28175366,0.32403323,0.3912207,0.45403233,0.48727837,0.48434302,0.46227124,0.4396193,0.42610714,0.42012265,0.41825977,0.41927537,0.4252207,0.44097933,0.46767762,0.5003681,0.52687246,0.5421956,0.54851025,0.55241305,0.54997396,0.5341633,0.50309044,0.46755323,0.44063732,0.42887568,0.43009675,0.4352249,0.4331415,0.41327965,0.37681213,0.33479676,0.30334628,0.2877517,0.28380033,0.28355017,0.28501764,0.2904081,0.30004013,0.3105214,0.31574503,0.31498942,0.3143882,0.3293585,0.36997402,0.43141007,0.4876813,0.5131553,0.49974227,0.4638385,0.42801252,0.40658057,0.4012266,0.40770435,0.42207137,0.44290367,0.47175097,0.5071192,0.54115754,0.56051713,0.5587366,0.5401239,0.5142322,0.48279133,0.44073486,0.38547888,0.32532272,0.27695504,0.25780606,0.28034166,0.34170607,0.42179704,0.4861621,0.5111659,0.4955049,0.4614383,0.4310453,0.41538808,0.41190997,0.41559446,0.42367807,0.43773258,0.4614834,0.49404383,0.5279393,0.5501578,0.5578626,0.5576791,0.5591548,0.5575435,0.5409072,0.5036494,0.45656395,0.41816652,0.40188143,0.41039798,0.4340979,0.4554528,0.45521116,0.42740893,0.3818079,0.33845255,0.3098291,0.2971706,0.29247257,0.28905246,0.28434908,0.28074262,0.28146026,0.2863942,0.2923508,0.29754582,0.31074774,0.34328935,0.39720574,0.4513067,0.47876894,0.46648666,0.42819265,0.38721967,0.3604028,0.35111997,0.35634354,0.3727808,0.3991175,0.43641838,0.48227826,0.52673036,0.552567,0.5509045,0.52819353,0.5009282,0.4759759,0.44739333,0.40472606,0.34739578,0.28633663,0.2420455,0.23712121,0.2824261,0.3644155,0.44628277,0.4946877,0.5007285,0.48317793,0.46518695,0.45910797,0.46300998,0.47074378,0.47820005,0.4858428,0.49742785,0.51376504,0.53062296,0.5396661,0.5406558,0.54021883,0.54482144,0.5479149,0.53780454,0.5110412,0.47848365,0.45526087,0.44844076,0.45657542,0.47104585,0.480584,0.4712111,0.43694508,0.38231254,0.32233658,0.27076507,0.23663598,0.22275086,0.22768478,0.24543254,0.26745144,0.28704533,0.30127296,0.31196073,0.32480058,0.35080397,0.3971909,0.45929492,0.51585275,0.5462237,0.54498905,0.5258829,0.5057279,0.4923856,0.4836252,0.47510812,0.4666189,0.46343064,0.47364762,0.4999958,0.5336736,0.5571353,0.5587439,0.54076904,0.51233447,0.47514975,0.4230263,0.35389152,0.27764377,0.21207464,0.17433216,0.17921628,0.23061454,0.31568217,0.4008286,0.45681933,0.4752684,0.47473362,0.47525623,0.48497233,0.49736944,0.5048092,0.50516456,0.5026818,0.5047416,0.51452196,0.5290406,0.53979117,0.54488033,0.54918,0.5582197,0.5662156,0.56114954,0.538323,0.50645983,0.48104474,0.47092357,0.47666323,0.48918018,0.4971837,0.48935747,0.46835384,0.44393146,0.4280163,0.41776228,0.40856782,0.40047848,0.40327168,0.42129207,0.44762087,0.47215888,0.48860526,0.4980437,0.49854776,0.48833373,0.46498406,0.4320567,0.39487883,0.36033627,0.33233258,0.31103674,0.2933822,0.27685025,0.26292548,0.25441074,0.25293788,0.25530568,0.2577068,0.2570068,0.25371498,0.24922693,0.24520165,0.24233852,0.24094486,0.24117948,0.24279575,0.24545507,0.2483354,0.25044012,0.25028852,0.24744736,0.24276705,0.23871411,0.2367592,0.23736088,0.23963122,0.2436641,0.24961221,0.25714782,0.26383984,0.26671228,0.26422983,0.2579864,0.2511837,0.24636734,0.24381323,0.24279213,0.24251473,0.24236429,0.24017704,0.23301582,0.2197495,0.2047603,0.19576405,0.19842191,0.21051048,0.22468801,0.23400082,0.23719436,0.23675112,0.23591125,0.2359904,0.23691575,0.23801792,0.23889132,0.23963948,0.24080847,0.24304676,0.24684174,0.25241888,0.25967145,0.2677878,0.2752051,0.27993512,0.2809693,0.2782967,0.2726519,0.26362503,0.25098225,0.23549981,0.22078772,0.21041971,0.20647024,0.20777172,0.21240981,0.21821733,0.22410001,0.22896855,0.2325208,0.23461749,0.23559643,0.23551504,0.23428106,0.23182295,0.22847164,0.22522695,0.22301334,0.22255729,0.22381389,0.22683112,0.23113383,0.2360344,0.23959418,0.23933464,0.23225926,0.21694134,0.1952772,0.17376097,0.16098101,0.16252057,0.17717355,0.19749142,0.21509252,0.22518635,0.22815464,0.22656035,0.22180575,0.21285129,0.19831465,0.17983146,0.16266651,0.15370043,0.15662529,0.17019348,0.18821694,0.20433867,0.21472879,0.22004445,0.2225387,0.22409587,0.22472246,0.22391392,0.2217711,0.21953948,0.21893746,0.22113812,0.22607581,0.23229933,0.237817,0.24105059,0.24169701,0.24044794,0.23839073,0.23615879,0.23360841,0.23039694,0.2268393,0.22554117,0.22994693,0.24259698,0.26111865,0.2801598,0.2936388,0.2997997,0.3000643,0.2979193,0.29550794,0.29379305,0.29217753,0.28974855,0.2848523,0.2755196,0.25929752,0.23542632,0.20607346,0.17681889,0.15397002,0.14250581,0.14481886,0.16033675,0.18516262,0.21228302,0.23490953,0.2492258,0.2559133,0.25749007,0.25655535,0.25458023,0.25267714,0.25150433,0.2512238,0.25136533,0.2512219,0.25013626,0.24729581,0.24105185,0.22864735,0.20744283,0.17755544,0.14352392,0.1128168,0.091581725,0.08133354,0.07914846,0.0806635,0.082765855,0.08431637,0.08544839,0.08666872,0.08831623,0.09015346,0.09141829,0.09112988,0.08878169,0.08458527,0.07939359,0.07425205,0.06997445,0.0669897,0.065376855,0.065312445,0.06724834,0.07169282,0.07849259,0.08643201,0.09373477,0.09894612,0.10155233,0.10181376,0.10039836,0.0982042,0.09615389,0.09500494,0.09487582,0.09539416,0.095887095,0.095959365,0.095483564,0.09464864,0.093682975,0.09284685,0.092190415,0.091615565,0.09090206,0.09009225,0.08946068,0.08939167,0.090002716,0.09180533,0.097009204,0.11042676,0.13688575,0.17621969,0.22015674,0.25641203,0.27758637,0.28668484,0.2936817,0.30681518,0.32704985,0.34932363,0.36650172,0.37180683,0.36116615,0.33573952,0.30471408,0.27946615,0.2675334,0.2667218,0.27114776,0.27553797,0.27926135,0.28274778,0.28621176,0.28885594,0.29031458,0.291303,0.29299295,0.29607686,0.2984307,0.29644874,0.28708425,0.27311662,0.26050648,0.25416794,0.25009266,0.23966627,0.2167684,0.18914093,0.17607464,0.20031182,0.26967457,0.36795506,0.45811018,0.50515777,0.49924496,0.45954502,0.41689458,0.3901626,0.38093868,0.38107446,0.38420138,0.38788202,0.39105728,0.392729,0.39183152,0.3890804,0.3853089,0.38172016,0.37842765,0.37583387,0.37421608,0.3742105,0.37639093,0.38051787,0.3856815,0.3892393,0.38920364,0.38438666,0.37679112,0.36892405,0.3633401,0.36065736,0.3610691,0.36423764,0.36907628,0.3732555,0.37415698,0.3714045,0.36740473,0.36626688,0.36995223,0.3772368,0.38374415,0.38580737,0.38162127,0.37264886,0.36132905,0.35052308,0.34209725,0.33717087,0.33629516,0.3396292,0.3472258,0.35768285,0.3682978,0.37567165,0.3787847,0.37916383,0.3793192,0.37944838,0.37812015,0.37452498,0.37023452,0.36736917,0.366223,0.36598718,0.36605284,0.36745524,0.36997524,0.3728857,0.37476382,0.3766432,0.3795588,0.38424778,0.3893222,0.39334428,0.39483237,0.39303055,0.388044,0.38120952,0.37486804,0.37031928,0.36775136,0.3658626,0.36425027,0.36276293,0.3622806,0.3629924,0.3650454,0.36789715,0.37122437,0.37494794,0.37899864,0.38283685,0.3847282,0.38333222,0.37812495,0.37097073,0.36411953,0.3599218,0.35857174,0.35920808,0.36018038,0.36103272,0.36198878,0.3634896,0.365245,0.36704814,0.36913756,0.37197116,0.37537053,0.37797034,0.37869763,0.3769758,0.37443307,0.37240717,0.37263826,0.3746489,0.37830302,0.3821536,0.38535774,0.38561714,0.38174447,0.37314847,0.36186752,0.34978405,0.3393445,0.3318604,0.32953066,0.33303908,0.34169152,0.35238767,0.36227608,0.36966506,0.374202,0.37729076,0.3828535,0.39876902,0.43032816,0.4742624,0.51372606,0.53020704,0.51540405,0.47982314,0.44344997,0.42481956,0.43330923,0.46640778,0.5096321,0.5395467,0.5383347,0.5061731,0.4620731,0.4296334,0.42322156,0.44466117,0.4842844,0.52466583,0.5459544,0.53811187,0.507986,0.475059,0.45889375,0.46851972,0.5000519,0.53676313,0.5576415,0.5474878,0.5098833,0.46216437,0.42651525,0.4152974,0.4321259,0.4679848,0.50599295,0.52362204,0.5089675,0.46677735,0.41678986,0.37968215,0.36921963,0.38846183,0.42815712,0.4675814,0.48376134,0.46689525,0.42723802,0.38760284,0.36848018,0.3793848,0.41572776,0.46006107,0.48777494,0.48177215,0.4455693,0.40083244,0.37266576,0.37359977,0.40302742,0.4477063,0.48824796,0.5026551,0.48115078,0.43179008,0.37790552,0.34336486,0.34234557,0.37530565,0.4274317,0.4753723,0.4974474,0.4904494,0.46699652,0.44665667,0.43945536,0.44786462,0.46622846,0.4859604,0.4943429,0.48572925,0.46422228,0.44267675,0.42991588,0.42954874,0.44054565,0.45942172,0.47728947,0.48303294,0.47393477,0.4569054,0.4440501,0.44032738,0.44816375,0.46550152,0.48788682,0.50293946,0.50177294,0.48637995,0.46911848,0.45830998,0.4507358,0.43700135,0.41233304,0.3802389,0.34897187,0.3246365,0.3094058,0.30134067,0.2983476,0.2987891,0.30120885,0.30288526,0.3001517,0.29128066,0.2770901,0.26105976,0.24700962,0.2385277,0.2386943,0.24857557,0.26630497,0.2856042,0.2997603,0.3042648,0.30004635,0.29069164,0.2805718,0.27212682,0.26643714,0.2631862,0.26173055,0.26140448,0.26210213,0.26549515,0.2764599,0.30358592,0.35280076,0.41883302,0.48199907,0.51975393,0.5233628,0.50328016,0.47867283,0.4616257,0.4532782,0.44888344,0.44693783,0.4508884,0.4677997,0.49968824,0.53863287,0.5676694,0.57431966,0.5610528,0.5411377,0.5247443,0.50943273,0.48929536,0.46373823,0.44054183,0.4263529,0.42241523,0.4251759,0.4310504,0.43956912,0.452678,0.4722192,0.49359965,0.5068586,0.5018237,0.47987497,0.45210218,0.4329959,0.42957494,0.44273052,0.46835145,0.49775782,0.51979655,0.5277942,0.52838016,0.5311075,0.5375779,0.5343961,0.5125605,0.47640362,0.44450068,0.43047336,0.43818334,0.45917347,0.48267975,0.4988759,0.5084453,0.51855177,0.53454655,0.54876494,0.54640704,0.5215666,0.4839904,0.4521507,0.438274,0.4457427,0.46953484,0.49975133,0.523999,0.5357453,0.5396531,0.5438354,0.54955286,0.5480633,0.5349795,0.51521283,0.4998628,0.49268684,0.49080548,0.48920834,0.4881495,0.4917349,0.5056102,0.5306118,0.5588474,0.5758147,0.5715671,0.55125,0.5291392,0.5152555,0.505657,0.49272814,0.47490427,0.45934537,0.45236525,0.4548876,0.46330404,0.4742869,0.48660076,0.5010124,0.5178303,0.53317237,0.53940654,0.52959734,0.50664216,0.4813769,0.4665371,0.46673992,0.4802698,0.50202805,0.5258341,0.5454502,0.5568631,0.5638509,0.5700688,0.57492965,0.5683434,0.5465625,0.51463836,0.48758772,0.47487083,0.4795705,0.49566913,0.51482654,0.5281088,0.53514296,0.5426762,0.55691,0.57199985,0.5734529,0.553979,0.5212255,0.493754,0.48479548,0.4985796,0.5275412,0.5587988,0.5776873,0.5796384,0.5724726,0.5683551,0.56965184,0.5668667,0.55162996,0.5260499,0.50112987,0.48524687,0.47984228,0.4805912,0.48317936,0.48691705,0.49613777,0.5153565,0.54089767,0.5608125,0.56377286,0.55312467,0.54024833,0.53463745,0.5309985,0.52215636,0.5051503,0.48708543,0.47339645,0.465628,0.46079445,0.4572163,0.45606765,0.46079168,0.47414246,0.49242577,0.50631833,0.5045928,0.4866543,0.46103072,0.4421161,0.4371797,0.44847384,0.47194958,0.50101894,0.5256827,0.5392124,0.543266,0.5427647,0.53905195,0.5256377,0.50153726,0.47362253,0.45542622,0.4527241,0.4642942,0.48246714,0.50015515,0.51149625,0.51792073,0.5266271,0.54257554,0.55797,0.55522674,0.5250176,0.4756615,0.42928648,0.40315259,0.4046317,0.42842755,0.462512,0.49068356,0.5042249,0.5083935,0.5146565,0.5265619,0.53233176,0.5214988,0.49571064,0.4706411,0.45864275,0.46179128,0.4722209,0.4822023,0.48955855,0.49907127,0.51603836,0.5382116,0.5550142,0.5565222,0.54574513,0.53299063,0.5262216,0.5202036,0.5088803,0.49098098,0.47515288,0.46920058,0.47814143,0.49980903,0.52626806,0.54670167,0.555651,0.55855757,0.56204486,0.5662222,0.56045073,0.5412894,0.5146029,0.49606863,0.49339366,0.5076776,0.5305359,0.5526622,0.5647197,0.56622934,0.56451076,0.566341,0.57027155,0.56792444,0.5599814,0.552687,0.5533323,0.55561733,0.55325127,0.54267365,0.5275009,0.5074919,0.48360547,0.46052185,0.44431663,0.43392566,0.42108026,0.40477252,0.391317,0.39067113,0.40034926,0.41692534,0.43392107,0.44976988,0.45599663,0.45206532,0.4460614,0.45346558,0.4756113,0.4964006,0.49742833,0.47576082,0.44615564,0.42480373,0.41906497,0.42622507,0.44084284,0.46020725,0.48474523,0.515354,0.5465105,0.5673528,0.56753236,0.54925793,0.52315646,0.50049716,0.48105714,0.4613714,0.43883428,0.41826725,0.4031029,0.39613977,0.3967435,0.40503645,0.41977474,0.4397507,0.46360376,0.48695478,0.5026408,0.50146466,0.48334774,0.45651758,0.43549204,0.42918143,0.4412799,0.46868768,0.502266,0.5279519,0.53529316,0.52914715,0.5215661,0.519927,0.5138961,0.49377632,0.46012595,0.42962542,0.41600966,0.4244192,0.44761667,0.4737095,0.4906652,0.49601555,0.49872383,0.5086923,0.5230481,0.5250651,0.5038473,0.46569785,0.43102264,0.41579458,0.4245043,0.45090234,0.48224807,0.5055113,0.5139687,0.515471,0.52024037,0.53099024,0.5343339,0.52078575,0.49170256,0.46230343,0.44302288,0.43685308,0.43844402,0.44313002,0.4489062,0.45884228,0.47803745,0.5052988,0.5316527,0.543895,0.5415442,0.5306609,0.52014214,0.5053063,0.48355356,0.45621705,0.43560123,0.42859268,0.4356598,0.45058227,0.46841836,0.4870608,0.5062461,0.52617174,0.5425654,0.5484789,0.53651154,0.5100437,0.4800881,0.46095702,0.45777145,0.47003272,0.492776,0.52018476,0.54350346,0.5561519,0.5608477,0.5651572,0.5729156,0.57454973,0.5612816,0.532584,0.502616,0.48390856,0.48356915,0.49694648,0.5155933,0.52950907,0.5366264,0.54282546,0.55425984,0.56822646,0.5717209,0.5572751,0.5280912,0.49921003,0.48220488,0.48295808,0.4976258,0.5174783,0.53126484,0.5336351,0.530252,0.53093433,0.5390344,0.54422945,0.5357924,0.5127466,0.48751816,0.4722596,0.47118744,0.47935236,0.49032506,0.5010507,0.51419115,0.53424674,0.56079644,0.5853226,0.5957385,0.5889849,0.57114404,0.55280846,0.5360661,0.51996684,0.5034434,0.49149096,0.48685417,0.4881494,0.48950443,0.4871172,0.482326,0.48112285,0.4902772,0.5095331,0.5304082,0.53896934,0.5293264,0.50656855,0.4847288,0.47480324,0.4809992,0.4998943,0.52137,0.5344837,0.5337017,0.5287278,0.5314757,0.5454084,0.5552518,0.5476856,0.52178115,0.49333763,0.47658017,0.47866645,0.49593544,0.5205545,0.5412524,0.5523696,0.5562089,0.5596547,0.56340337,0.5590737,0.5408561,0.51198584,0.48525465,0.47024572,0.4720045,0.48823786,0.5114321,0.5294302,0.53416157,0.5302989,0.5282133,0.53363657,0.5388512,0.53777236,0.53138644,0.5291423,0.5339853,0.54222447,0.5472966,0.54791,0.5477372,0.55212617,0.56474483,0.5825525,0.5979646,0.6017099,0.5947404,0.5833962,0.57602197,0.57036775,0.5623726,0.5490312,0.5355153,0.5270854,0.52751565,0.53551286,0.54694694,0.55661494,0.56261593,0.5692645,0.5805686,0.5947597,0.60155934,0.59479684,0.57689935,0.5584851,0.5468707,0.544324,0.548163,0.55448323,0.55840915,0.5583791,0.5580495,0.56206083,0.5708965,0.57896763,0.58520895,0.5907619,0.5975931,0.5987304,0.5902512,0.574866,0.5631071,0.5593236,0.5604072,0.5611008,0.56019545,0.558976,0.5567167,0.5545699,0.5539134,0.55668277,0.5584429,0.5561454,0.5490813,0.5410524,0.5314992,0.51693094,0.49352977,0.46303645,0.43107498,0.40474427,0.3879907,0.37822887,0.3657099,0.33895698,0.29370555,0.23619372,0.17853339,0.13032901,0.095478676,0.074124716,0.065098904,0.066117994,0.07315025,0.08194772,0.089505576,0.094713606,0.097081035,0.096290916,0.09183106,0.08336412,0.071447276,0.058724895,0.05014482,0.050062466,0.058986098,0.07235926,0.08424002,0.09101918,0.0931698,0.09281834,0.09138954,0.08792848,0.08041916,0.06798821,0.0534341,0.04255885,0.040678084,0.048639875,0.06221038,0.07539818,0.08408914,0.087482564,0.08628849,0.080854714,0.07065562,0.056038026,0.04003799,0.028258344,0.026054405,0.035075177,0.051832587,0.06982753,0.08281792,0.087451905,0.08334505,0.07280091,0.05996047,0.049515348,0.04424865,0.043114677,0.04234588,0.038291093,0.030326305,0.020605199,0.012565793,0.008873576]