[0.053930484,0.062107403,0.07997832,0.10273197,0.12428945,0.13975146,0.14605701,0.14347148,0.13369134,0.11813598,0.0971531,0.07222568,0.04724948,0.02743791,0.016451681,0.015046072,0.020580826,0.028383054,0.03298931,0.031722438,0.026287558,0.02350407,0.03198685,0.05739659,0.09675368,0.13806182,0.16663508,0.17567958,0.17061268,0.16592348,0.17592543,0.2068888,0.25307482,0.29895833,0.32941934,0.3382487,0.33114928,0.31771865,0.3050691,0.2949507,0.28652355,0.27774492,0.2663814,0.25090995,0.23245966,0.21460678,0.20139964,0.1941516,0.19150262,0.19134057,0.19360453,0.19984525,0.21114166,0.22602528,0.24068455,0.2509989,0.254513,0.25175378,0.24557567,0.24017744,0.23866428,0.24179097,0.24665713,0.24923229,0.24666722,0.24060619,0.2350126,0.23370087,0.23624659,0.23944819,0.23955673,0.23573692,0.22948451,0.22261037,0.21481295,0.20277637,0.18214293,0.15064086,0.112050496,0.076350145,0.05600779,0.06028376,0.089725375,0.13612255,0.18444926,0.2211693,0.23869993,0.23913121,0.2299252,0.22078842,0.21787216,0.22233011,0.22889179,0.23184872,0.22892652,0.22499973,0.22539061,0.23210795,0.24035119,0.24487005,0.24268691,0.23572248,0.22708045,0.21970396,0.2146465,0.21116234,0.20669281,0.19764556,0.18234871,0.16310404,0.146758,0.13950461,0.14192994,0.14640234,0.14305101,0.12731686,0.1055545,0.0917525,0.09879232,0.12944655,0.1739377,0.21672045,0.24573267,0.25792205,0.25715348,0.24945883,0.24005038,0.2319179,0.22609599,0.22145464,0.21698733,0.21248698,0.20886369,0.20601495,0.20247161,0.19533966,0.18146454,0.15938823,0.13213383,0.108706355,0.099040665,0.10697317,0.12549399,0.14291477,0.15161903,0.1541745,0.1598165,0.1766566,0.20533733,0.2378772,0.26352337,0.27526224,0.2740142,0.26567897,0.25638822,0.24908866,0.24392498,0.2397844,0.23528902,0.22940646,0.22196662,0.21382165,0.20605306,0.19910508,0.1928832,0.18746744,0.18335645,0.18089418,0.18000169,0.18062162,0.1831445,0.18791008,0.19409102,0.19939871,0.20133625,0.19961767,0.19744845,0.19981128,0.2093423,0.2235084,0.23594819,0.24154775,0.2396038,0.23413414,0.22910382,0.22691838,0.2265354,0.22727394,0.22794612,0.22856385,0.22771037,0.22431259,0.21743222,0.20801161,0.19834316,0.19100048,0.18711431,0.18534656,0.18357216,0.1804945,0.17630975,0.1702627,0.16080846,0.14789851,0.13739328,0.13865894,0.15831847,0.19282246,0.2300899,0.25708985,0.2685628,0.26855072,0.26495492,0.26294062,0.26189092,0.2583978,0.24923591,0.23401888,0.2144373,0.19559403,0.18358336,0.18330377,0.1928872,0.20592415,0.21500897,0.21781093,0.21553232,0.21077013,0.20487179,0.19887573,0.1939388,0.19116144,0.19117463,0.19423817,0.20062429,0.20974433,0.21963072,0.22709191,0.2299223,0.22788726,0.22250533,0.2149841,0.20612065,0.19658999,0.18762763,0.17927672,0.17068028,0.16125976,0.15360971,0.15104634,0.15464571,0.1603239,0.16314939,0.16102707,0.15713668,0.15620323,0.16112109,0.17055936,0.18052179,0.18686546,0.18825535,0.1867103,0.18724509,0.1951058,0.2137448,0.24136256,0.2708919,0.29125848,0.29382655,0.2775757,0.2518861,0.23108949,0.22559138,0.23537593,0.25136876,0.2633983,0.26624104,0.2614662,0.25321344,0.24515735,0.23802601,0.23024146,0.21846248,0.19962656,0.17392516,0.14660464,0.12707992,0.12279544,0.13479754,0.15606502,0.17746837,0.19312142,0.20405088,0.21484838,0.22881866,0.24412744,0.2553608,0.25792158,0.25158066,0.23972256,0.22646819,0.21378832,0.20215116,0.19153135,0.18314241,0.17824836,0.1769038,0.1769048,0.17490567,0.16915141,0.16063143,0.15290542,0.1494162,0.15232688,0.16239244,0.17917563,0.20089145,0.22267751,0.23878302,0.24424191,0.23948467,0.22931032,0.22183041,0.22317643,0.23452206,0.2511498,0.26509354,0.27058968,0.2656914,0.25334832,0.2370974,0.22103707,0.20671473,0.19520609,0.1849727,0.1752402,0.16468263,0.15416561,0.14382632,0.13444084,0.12575503,0.11838901,0.11279463,0.10945643,0.107737936,0.10609978,0.10251105,0.0954679,0.085526764,0.07651691,0.075776,0.08993589,0.11993199,0.15766531,0.19118072,0.211582,0.21820314,0.21576013,0.20983994,0.20338936,0.19694686,0.19020975,0.18342938,0.17794366,0.17513806,0.1747757,0.1739768,0.1685489,0.15592478,0.13741995,0.117745936,0.10277185,0.097083546,0.10259239,0.117444135,0.13618928,0.15184192,0.15952687,0.1589079,0.15394668,0.15046324,0.15281795,0.16169995,0.17334859,0.18254091,0.18559994,0.18288068,0.17683755,0.17010118,0.16361912,0.15733756,0.15069588,0.14333105,0.13491549,0.1250397,0.1127324,0.09697249,0.07765051,0.05681861,0.038247954,0.026108488,0.023431147,0.0311149,0.047314066,0.06714926,0.084338516,0.0939011,0.09503857,0.091819584,0.09139011,0.09970003,0.11741722,0.13884456,0.15623988,0.16491489,0.16590442,0.16300403,0.15964048,0.15695117,0.15476821,0.15238048,0.14901364,0.14372665,0.13535887,0.12256505,0.10455053,0.082070716,0.058240026,0.037802268,0.025785567,0.026167855,0.040375203,0.06616498,0.09675031,0.12357351,0.13987811,0.14476873,0.14313965,0.14342648,0.15255576,0.17193115,0.19614588,0.21702842,0.22958213,0.23556721,0.24117814,0.25101,0.26439244,0.27587858,0.28013146,0.27440026,0.25985828,0.24081178,0.22329944,0.2123685,0.20787196,0.20600824,0.2024321,0.19787933,0.19662775,0.20348287,0.2194119,0.2404183,0.2597355,0.2699033,0.26749852,0.25371757,0.23690398,0.22667974,0.2297411,0.2427022,0.25693825,0.26393262,0.2626433,0.25643793,0.24994521,0.24501435,0.24176824,0.23905142,0.23564768,0.23054504,0.22357064,0.2153637,0.20694219,0.19869347,0.18919437,0.17566817,0.15719436,0.1390765,0.13200654,0.14461716,0.17505364,0.21110414,0.23930538,0.25379786,0.25813845,0.25950792,0.26326403,0.27000403,0.27723333,0.28204134,0.28363034,0.28323075,0.28243735,0.28152004,0.2794623,0.27501282,0.2675523,0.25674543,0.24151862,0.22066616,0.19393204,0.16378272,0.13340011,0.10578632,0.08308736,0.06968734,0.07154638,0.09197644,0.12598751,0.16090673,0.18477613,0.19445126,0.19707404,0.20245843,0.21524633,0.23207755,0.24624217,0.25345016,0.25401816,0.24969584,0.24106105,0.22765607,0.21135126,0.19583358,0.18451752,0.17700364,0.17052577,0.16174266,0.14950354,0.13406126,0.11642513,0.09684854,0.075616196,0.05414291,0.036186244,0.02711229,0.031652894,0.050813448,0.08026949,0.11138803,0.13555306,0.1481694,0.15062577,0.14912947,0.15121812,0.16184865,0.17941475,0.19737995,0.20826042,0.20951581,0.20318349,0.19358599,0.18358786,0.17443968,0.16588666,0.15702301,0.14646484,0.13332695,0.11762121,0.100064,0.08131566,0.06288027,0.048989553,0.04697795,0.062285017,0.091288984,0.11970509,0.13086192,0.118194975,0.08977906,0.063058026,0.05471489,0.07354426,0.11743191,0.1736476,0.22529168,0.25946477,0.27368832,0.27348292,0.26636466,0.25781426,0.25067413,0.247159,0.24741995,0.2504541,0.253359,0.2545924,0.25262436,0.2465462,0.23439728,0.2164159,0.19576518,0.17903282,0.17219907,0.17764087,0.19235529,0.20957506,0.22277664,0.2287579,0.22933304,0.2287973,0.23181047,0.2400152,0.25212434,0.26439816,0.27382067,0.2788314,0.27945963,0.27596334,0.26917133,0.2605423,0.2520281,0.24520673,0.24080391,0.2386473,0.2375774,0.23595645,0.23171209,0.22272249,0.20650364,0.18141954,0.1494088,0.11861677,0.10287238,0.11331818,0.15007614,0.19835775,0.23931555,0.2615133,0.26758555,0.26650572,0.26531532,0.26480114,0.2625637,0.25611305,0.24432975,0.22793587,0.21034269,0.19698443,0.1924182,0.1968066,0.20571977,0.21321923,0.21568877,0.21379168,0.21197586,0.21593668,0.2287829,0.24793005,0.26634362,0.2768718,0.27725074,0.27067304,0.26286224,0.25787964,0.25555494,0.25282,0.24637504,0.2367506,0.2282192,0.22701107,0.23586161,0.25248635,0.26969758,0.2804683,0.28052273,0.271425,0.2591396,0.25146458,0.2516616,0.25567687,0.25383624,0.23938568,0.21405166,0.1894505,0.17799442,0.18554914,0.20563547,0.22676235,0.23968196,0.2441395,0.2449405,0.24688053,0.2510275,0.255527,0.25820133,0.2575044,0.25397444,0.25004098,0.25015277,0.25737682,0.27113566,0.2862303,0.29706466,0.30056474,0.2973034,0.28808966,0.2725403,0.24947178,0.22022456,0.18920933,0.16264129,0.14494449,0.13829994,0.14251472,0.15577517,0.17335333,0.18861617,0.19644308,0.19672298,0.19470958,0.19621707,0.20402376,0.21565409,0.22700678,0.23427157,0.23719507,0.2374355,0.2386422,0.24306743,0.25121763,0.2605406,0.2678093,0.27038088,0.26754817,0.2595661,0.2470578,0.23029108,0.21006997,0.18764974,0.16533774,0.14477633,0.1268093,0.11025187,0.093537055,0.07524476,0.05598767,0.03804313,0.025136352,0.020947708,0.027789546,0.044947047,0.06769718,0.08882115,0.101747364,0.104328185,0.09961171,0.094978094,0.09783132,0.11201898,0.13411699,0.15633614,0.17086577,0.17553215,0.17279704,0.16716667,0.16165288,0.15760086,0.15511978,0.15378837,0.15271412,0.15053,0.14516032,0.13406207,0.115439974,0.09022214,0.063148655,0.041501403,0.032532487,0.040103834,0.06294632,0.094184555,0.12448176,0.14618187,0.15690629,0.15936752,0.15911025,0.16162296,0.17008252,0.18391375,0.199,0.21033323,0.21500939,0.21357559,0.20852947,0.20234446,0.19614416,0.18954705,0.18114358,0.16971923,0.15602009,0.14329931,0.13546605,0.1341783,0.13739514,0.14159644,0.14479297,0.14812493,0.15367629,0.16078065,0.16504787,0.16097067,0.14784974,0.13121586,0.120607965,0.12346172,0.14165522,0.17056017,0.20114064,0.22416918,0.23479961,0.2347366,0.23055536,0.22919025,0.23464192,0.24604411,0.2589841,0.26799175,0.27005398,0.2658093,0.2579874,0.24870694,0.23837726,0.22666597,0.2136067,0.1991086,0.18254347,0.16276364,0.13960071,0.113681644,0.08658755,0.06030324,0.038707916,0.027371982,0.032686558,0.057250973,0.096842445,0.1399954,0.1747847,0.19543086,0.2047068,0.20863186,0.21085535,0.21130387,0.20909344,0.20516546,0.20176019,0.20079581,0.20317511,0.20967706,0.22125177,0.23723638,0.25402018,0.26585114,0.2689981,0.26401246,0.25513974,0.24680865,0.24098699,0.2363109,0.22821294,0.21230339,0.18829203,0.1640269,0.15074877,0.15556139,0.17420924,0.1957017,0.2099948,0.21494572,0.21332039,0.20906742,0.20365202,0.19769102,0.19027448,0.17942302,0.16265623,0.14162211,0.12412002,0.119633235,0.13133837,0.15238504,0.17247415,0.18565388,0.19343467,0.19999921,0.20759176,0.21507569,0.21937005,0.21773325,0.20951946,0.1979277,0.18911855,0.18877125,0.19774325,0.21157594,0.22373481,0.23015998,0.22995937,0.2255041,0.22101249,0.22200112,0.23121612,0.24583368,0.25814417,0.26040575,0.2500575,0.23142008,0.2134883,0.20498972,0.20859112,0.22051205,0.23348157,0.24299406,0.24861924,0.25271237,0.25728998,0.2613246,0.26051465,0.24916454,0.22974984,0.2195841,0.24804433,0.3319442,0.45531258,0.56828207,0.6231118,0.6048096,0.54055554,0.4708303,0.42163002,0.39203343,0.36569086,0.32928196,0.28387603,0.24512787,0.23093951,0.24729009,0.2828656,0.3171719,0.33645603,0.34053788,0.3396456,0.34391937,0.35803747,0.37963903,0.4026371,0.42054418,0.43077564,0.43464327,0.43589067,0.4372808,0.44023418,0.44502184,0.45125604,0.45794377,0.46425232,0.47229218,0.4884313,0.51945984,0.56372625,0.6055656,0.6229244,0.6040869,0.55866843,0.51075214,0.48002866,0.46984896,0.46964964,0.46851638,0.46224093,0.45338872,0.44444048,0.43692115,0.431452,0.42980647,0.43210045,0.4359171,0.43844613,0.44047296,0.45037115,0.47573957,0.5178214,0.5599027,0.5818452,0.56821537,0.5274516,0.47796416,0.4393688,0.4135177,0.39193323,0.36358917,0.3286502,0.2967392,0.2809647,0.28587267,0.3052237,0.32356188,0.3280501,0.3141464,0.29225254,0.28416458,0.31557205,0.39647332,0.50648516,0.59995383,0.63552773,0.6061451,0.5401649,0.4770273,0.43898717,0.42572632,0.42415297,0.42328224,0.42017266,0.41990137,0.43265828,0.4656926,0.51822776,0.5730111,0.60723275,0.6017282,0.5614919,0.5078339,0.46814406,0.4520634,0.4528137,0.45490935,0.44999436,0.43777075,0.42271292,0.40883753,0.39992335,0.39825818,0.40343347,0.41146278,0.41920546,0.42695454,0.4416225,0.46948028,0.51258117,0.5581288,0.58647066,0.5787997,0.5354513,0.47326267,0.41497532,0.37256822,0.3429295,0.31700656,0.2886217,0.26224598,0.24800175,0.25573763,0.28378382,0.31669676,0.3327134,0.31873822,0.28348058,0.25298008,0.25920188,0.31434762,0.40555263,0.4930068,0.5426101,0.5403116,0.5081604,0.48101434,0.489884,0.5378899,0.59946674,0.6353752,0.6187162,0.556377,0.47701302,0.40958324,0.35887018,0.31333882,0.25909948,0.19614138,0.13649301,0.096568055,0.08970473,0.1186893,0.17496544,0.23597498,0.27951196,0.29399726,0.2919804,0.30116323,0.3477572,0.4347547,0.5322349,0.59628034,0.59600884,0.5431622,0.47929296,0.45067617,0.47185388,0.5238462,0.56875056,0.5783326,0.5483205,0.49478486,0.43986097,0.3951101,0.3591279,0.32020235,0.26947185,0.20860048,0.15371947,0.12713088,0.14136365,0.18933298,0.24376814,0.27773532,0.2808088,0.2707207,0.28096753,0.33743715,0.4371852,0.5412118,0.6038495,0.599606,0.5488171,0.49460825,0.4803351,0.5162272,0.57944655,0.6219023,0.6031949,0.51622474,0.39717522,0.29998112,0.26021066,0.2742841,0.31103244,0.34011185,0.3506477,0.35022548,0.35066497,0.35669878,0.36497858,0.3682758,0.36392248,0.35509923,0.35011515,0.35530624,0.36988053,0.38709068,0.39684463,0.39484116,0.38086614,0.36155692,0.34310594,0.33216682,0.32993227,0.33360183,0.33648482,0.33448505,0.32767427,0.31959805,0.31218693,0.304822,0.29551587,0.28392372,0.27150992,0.26042536,0.2521579,0.24737632,0.24602295,0.2471566,0.24862398,0.24761719,0.24218656,0.23304892,0.2243778,0.22201301,0.22923468,0.24345864,0.25691113,0.2628046,0.26006544,0.25423715,0.2519383,0.2557952,0.26266226,0.26688525,0.2654565,0.25968203,0.25335193,0.24936683,0.24906819,0.25328508,0.26172772,0.2721949,0.28082561,0.2857382,0.28881225,0.29368755,0.30129465,0.3075787,0.30713403,0.29823178,0.28568518,0.27690923,0.27652073,0.2833329,0.29246214,0.29855248,0.29764184,0.28761378,0.27029058,0.25196993,0.24174829,0.24462207,0.2584065,0.27510074,0.28760576,0.29342905,0.29395115,0.29160511,0.28794885,0.28393534,0.27952754,0.27314934,0.26216152,0.24546266,0.22546881,0.20694347,0.19259696,0.18190654,0.17240797,0.16416128,0.15957715,0.16282177,0.17618036,0.19890814,0.22585095,0.25010732,0.2663313,0.27407905,0.27758896,0.28312227,0.2952341,0.31367776,0.33322048,0.34624925,0.34779844,0.33885956,0.32645002,0.31870264,0.32013527,0.32808426,0.3358221,0.3350295,0.32177076,0.2969792,0.26826885,0.24389471,0.22874479,0.22044568,0.21410275,0.20730048,0.20380603,0.20945716,0.22706954,0.25188565,0.2747158,0.28695688,0.28605285,0.275337,0.26177657,0.2523352,0.25136968,0.25848004,0.26882374,0.27538693,0.2730392,0.26074186,0.24222581,0.22334367,0.20918019,0.20105863,0.19764598,0.19706957,0.19948947,0.20527582,0.21350574,0.22084033,0.2246911,0.22477448,0.22418182,0.22712703,0.23680723,0.25294498,0.27103555,0.28493977,0.28993833,0.28550312,0.27432907,0.2615992,0.2530694,0.253018,0.26144662,0.27374545,0.283607,0.2871157,0.28483316,0.2806537,0.2785965,0.27973214,0.28160584,0.28055128,0.27463445,0.26492003,0.2534882,0.24212068,0.23087324,0.21963878,0.20791595,0.19656353,0.18831204,0.18817164,0.20006299,0.22225533,0.24642098,0.26229367,0.26460138,0.25609678,0.2451576,0.24024285,0.2449389,0.25572386,0.26501405,0.2657826,0.25718632,0.2433979,0.23203963,0.22728397,0.22966854,0.23379469,0.23499472,0.23046039,0.22359274,0.21890336,0.21960056,0.22344361,0.22551239,0.2222473,0.2149569,0.20960926,0.21182458,0.2233758,0.239745,0.25478157,0.2632749,0.26539636,0.263912,0.2645861,0.27100715,0.28451964,0.30088675,0.31462976,0.32101938,0.31938192,0.31071404,0.29612708,0.27624187,0.252849,0.22975047,0.21177818,0.2023106,0.20122992,0.2046458,0.20730023,0.20590706,0.20074905,0.19385962,0.18573289,0.17393394,0.15538953,0.12978736,0.10087535,0.07425379,0.0548977,0.049150225,0.06880025,0.1304089,0.24024606,0.37937656,0.5034669,0.571365,0.57201743,0.53076124,0.4839654,0.4552342,0.44728127,0.45240033,0.46240783,0.4727361,0.481311,0.48654667,0.48501596,0.47068322,0.43861258,0.3909355,0.33915344,0.29635414,0.26657578,0.24112487,0.20757401,0.16183987,0.11118404,0.06794327,0.041933116,0.039783552,0.066689424,0.12264773,0.19819891,0.27323607,0.3299116,0.36032498,0.37048817,0.36951795,0.36474955,0.35817143,0.35049665,0.34214878,0.33404884,0.32636204,0.318076,0.3076805,0.29467416,0.28068447,0.26859367,0.26050135,0.25638163,0.25412107,0.2510224,0.24381466,0.22939153,0.20523773,0.17265733,0.14054252,0.12662064,0.15451904,0.23664097,0.36134672,0.4865594,0.56786674,0.5843757,0.5545199,0.5134318,0.48759595,0.48178908,0.48710975,0.49506322,0.50101215,0.5042589,0.50241226,0.49261868,0.4717724,0.44088706,0.40557134,0.37403288,0.35238358,0.3407891,0.33349356,0.31992182,0.29066804,0.24228404,0.18207256,0.12491065,0.088181324,0.08638539,0.12407813,0.19342144,0.27146554,0.33496258,0.36851797,0.37480366,0.36425233,0.34984982,0.33860347,0.3329381,0.33165678,0.3329278,0.33618036,0.3409125,0.34595397,0.34855258,0.3470187,0.3420885,0.33645192,0.3324724,0.33026147,0.32912004,0.3280528,0.325896,0.3183041,0.29816556,0.26245615,0.22104716,0.20138673,0.23066401,0.31602982,0.42685938,0.5164384,0.54813355,0.52267677,0.46713892,0.4154764,0.3864297,0.38074207,0.38911355,0.40226552,0.41683707,0.43117616,0.440648,0.43617705,0.41146263,0.36965862,0.3236662,0.28880832,0.27425814,0.27840433,0.28934872,0.2902026,0.26796722,0.22104137,0.16227545,0.11223611,0.091547705,0.109553486,0.16196854,0.22969039,0.2910687,0.33060333,0.34697023,0.34674108,0.33865917,0.3281416,0.31877074,0.3126665,0.31046724,0.31060275,0.31034103,0.30798838,0.30366835,0.29908875,0.29574025,0.29443052,0.29459387,0.29519272,0.2954097,0.2959255,0.29834366,0.30356905,0.31027833,0.31498837,0.31347334,0.30149093,0.2766013,0.24039489,0.2011069,0.17021804,0.15532005,0.1534911,0.15436149,0.149325,0.13967584,0.13435735,0.14121835,0.15903123,0.17900677,0.19176382,0.19460243,0.19161813,0.18965483,0.19280927,0.20016833,0.20729326,0.20950234,0.20567222,0.19825198,0.19194794,0.18996167,0.19305861,0.19908917,0.20490603,0.20769393,0.20688258,0.20450473,0.20357756,0.2056514,0.20922273,0.21158607,0.21066116,0.20667477,0.20092131,0.19503646,0.18991388,0.18597288,0.18336374,0.18226151,0.18254839,0.18344194,0.18362944,0.18228197,0.17950757,0.17575641,0.17022182,0.16026409,0.14281906,0.11704147,0.08606999,0.055918127,0.032695647,0.023117082,0.037408497,0.091303654,0.19310474,0.32980374,0.4617587,0.548256,0.57295746,0.5542148,0.52234805,0.49799442,0.48345065,0.47314772,0.46221802,0.4498738,0.43768132,0.42793605,0.4217756,0.41560423,0.4029924,0.37875715,0.34604347,0.31263438,0.2840998,0.25760806,0.22647123,0.18844633,0.14838007,0.11485893,0.09492294,0.09460649,0.120352484,0.17488192,0.25195146,0.33285847,0.39799714,0.4353625,0.44791463,0.44474113,0.4357915,0.4258277,0.41713002,0.41011035,0.40549,0.40371135,0.4055264,0.41065052,0.4178824,0.42385688,0.42552295,0.4212536,0.41514114,0.41598722,0.436873,0.48494434,0.55435586,0.6211078,0.6577258,0.6512759,0.61636686,0.5839582,0.578731,0.6005364,0.62702066,0.6317031,0.60434335,0.5540349,0.5010913,0.4608856,0.44018003,0.436144,0.4433876,0.45452654,0.46467757,0.4704387,0.47152767,0.46564305,0.4500781,0.42315075,0.3913355,0.36593997,0.3574952,0.3662819,0.38247702,0.38919136,0.37178752,0.32455394,0.25787565,0.19462277,0.1624781,0.176686,0.2335914,0.30924824,0.3773223,0.42054215,0.43932232,0.4417012,0.43614018,0.42667875,0.4165063,0.40947202,0.4082757,0.41238448,0.4183326,0.42317858,0.4265232,0.43075678,0.4380053,0.44758025,0.45437625,0.45315492,0.44313884,0.43030587,0.42104784,0.41459855,0.4011744,0.37060812,0.32662693,0.2927129,0.30008718,0.36068866,0.44896707,0.5161051,0.5264966,0.48648092,0.4328625,0.40111783,0.39948097,0.41439554,0.42917788,0.43831742,0.44556487,0.45436725,0.46272445,0.46483532,0.45643893,0.43730828,0.41100255,0.3843801,0.36502823,0.3591131,0.36603364,0.37740812,0.37780166,0.35362205,0.30268893,0.2401203,0.1922571,0.18013914,0.20706002,0.25579336,0.3039944,0.33591428,0.350644,0.3535744,0.351607,0.34790698,0.34488615,0.34401298,0.3462801,0.3510705,0.35696778,0.362855,0.36869204,0.3747679,0.38039324,0.38370356,0.38334975,0.3803822,0.37777475,0.37781647,0.3799162,0.3814694,0.38075736,0.37897477,0.38137376,0.39634737,0.43395126,0.4958017,0.5679781,0.6192853,0.6234302,0.5755931,0.50015086,0.4270691,0.37706634,0.35111594,0.34306344,0.34350643,0.3488109,0.36002684,0.3859054,0.4320904,0.4933882,0.54723746,0.569974,0.55218804,0.510672,0.4710714,0.45088983,0.44585887,0.44253397,0.43089697,0.41320896,0.39911845,0.39939904,0.42284214,0.47012472,0.5299474,0.57761556,0.5907784,0.5643547,0.5159494,0.47037974,0.44323757,0.43403348,0.43414387,0.4354129,0.43580362,0.4386858,0.45234084,0.48400065,0.5327375,0.5828688,0.611536,0.60337144,0.56359583,0.51253575,0.47153136,0.44950083,0.4440832,0.447664,0.45468888,0.46204653,0.46843755,0.471096,0.46391955,0.43958005,0.39542374,0.34011173,0.28861275,0.25310168,0.23393469,0.2240607,0.21606724,0.20757882,0.19902666,0.19098353,0.18381505,0.17936938,0.18112181,0.19068144,0.20474221,0.2149478,0.21389131,0.2002693,0.18115373,0.16720276,0.16597164,0.17644618,0.18844295,0.18912049,0.1714399,0.14114504,0.113475405,0.102987595,0.112505056,0.13063078,0.14134048,0.13581775,0.12028802,0.10972235,0.117501974,0.14483756,0.18203223,0.21544595,0.23692316,0.2460841,0.24825281,0.24963586,0.2542018,0.2606546,0.2618333,0.24832694,0.21651791,0.17485659,0.14106245,0.13069724,0.14629716,0.17629178,0.20491384,0.22232588,0.2284501,0.22812909,0.22630233,0.225361,0.22609065,0.22810644,0.23059481,0.2328241,0.2351708,0.23872428,0.24448209,0.25229588,0.2610838,0.2691123,0.2744943,0.2756568,0.27171394,0.26213253,0.24586678,0.22125958,0.18884575,0.15415935,0.12847035,0.12301163,0.14200635,0.178586,0.21814613,0.24616458,0.25501087,0.24717046,0.23305196,0.22527231,0.23096906,0.24707258,0.2627168,0.26749715,0.25875774,0.24247777,0.22732687,0.21929461,0.21885246,0.22339772,0.22935523,0.2346586,0.23844405,0.24171005,0.24584289,0.25205156,0.2581767,0.2601908,0.25374848,0.23914832,0.22030683,0.20346661,0.19284017,0.1902702,0.19442557,0.20289071,0.21284229,0.22308598,0.23327427,0.24347562,0.25249982,0.2581168,0.25757757,0.24922377,0.23451836,0.21899295,0.21104647,0.21704984,0.23723936,0.2644823,0.28917435,0.3045354,0.3102413,0.30945414,0.30511498,0.29626402,0.2805439,0.25715455,0.23031461,0.20716739,0.19439131,0.1936592,0.20093888,0.20853673,0.21015419,0.20443,0.1956883,0.18998235,0.19084086,0.19651979,0.20170064,0.20117281,0.19325604,0.18078928,0.16889419,0.16197039,0.16091324,0.16331065,0.16539101,0.16530527,0.16448797,0.1669566,0.17568594,0.18992104,0.20410885,0.21171086,0.20915867,0.19851516,0.18460234,0.17134304,0.15958166,0.14880975,0.13926657,0.1323996,0.12985939,0.13251144,0.14073287,0.15371305,0.16918336,0.18286501,0.19134833,0.1937991,0.19285373,0.19110687,0.18970537,0.18758494,0.18445814,0.18065096,0.17772114,0.17635554,0.17764778,0.18200834,0.18857197,0.1921088,0.18446775,0.15991783,0.12250203,0.086764395,0.06955354,0.07777291,0.10206425,0.12317475,0.12582605,0.11010935,0.08941994,0.08026377,0.09011362,0.11473631,0.14076297,0.15469031,0.15004955,0.13266693,0.11742908,0.11939657,0.14397417,0.18347986,0.2232651,0.25114885,0.26450592,0.268746,0.271817,0.2775675,0.2843564,0.28703293,0.28154576,0.26664087,0.24253707,0.20926864,0.16730829,0.12095199,0.07754623,0.04546554,0.030437978,0.037386034,0.06881902,0.12268885,0.1871707,0.24557023,0.28385422,0.29947352,0.29857737,0.2901853,0.27894473,0.26513925,0.24760868,0.22816952,0.21244855,0.2066503,0.21321595,0.22864936,0.2456867,0.2563425,0.25518188,0.2414486,0.22069593,0.20264696,0.19643055,0.20452833,0.22256029,0.24191003,0.25569293,0.2598245,0.2531866,0.23665123,0.21357554,0.19020528,0.17108393,0.15672956,0.14286232,0.1276195,0.11522602,0.11408678,0.12932318,0.15718949,0.18833709,0.21346158,0.22955056,0.2385477,0.24472743,0.24962492,0.25160524,0.24687006,0.23448344,0.21779661,0.20412761,0.19918583,0.20423539,0.21522589,0.22656603,0.23432006,0.23768437,0.23836665,0.23877217,0.24050409,0.24268372,0.24200982,0.23481338,0.22030598,0.20246334,0.1876827,0.18108898,0.18246825,0.18761647,0.19031233,0.18707578,0.17779739,0.16697039,0.16141386,0.16751711,0.18641786,0.2112447,0.23022883,0.23403229,0.22276008,0.20549089,0.19329715,0.19130467,0.19566339,0.19809403,0.19308443,0.1829964,0.176482,0.18196698,0.20177309,0.2303453,0.2585299,0.2782699,0.2862858,0.2834117,0.2731359,0.2586585,0.24135357,0.21969865,0.1922154,0.16096693,0.1344336,0.123598434,0.13523811,0.16636276,0.20575841,0.2408007,0.2629825,0.2697359,0.26187202,0.24263173,0.21686952,0.19095635,0.17038877,0.15811889,0.15404458,0.1565072,0.16311638,0.17077707,0.17511135,0.17217672,0.16102855,0.14599241,0.13447188,0.1327511,0.14154927,0.1559907,0.16847415,0.17307587,0.16825551,0.15769891,0.14902732,0.1500057,0.16344374,0.1835873,0.19873495,0.19897133,0.18369253,0.16249247,0.14815755,0.14762683,0.15657131,0.16269325,0.15495504,0.13266797,0.107022695,0.09293214,0.098033,0.11689446,0.13596429,0.14387846,0.13897753,0.12813668,0.12020618,0.12018595,0.12791131,0.13959731,0.15035124,0.15670663,0.15889256,0.16127653,0.16945253,0.18515433,0.20287551,0.21180911,0.20279616,0.1743745,0.13379978,0.09208915,0.058733,0.038392644,0.031087756,0.033289306,0.04054196,0.05008225,0.063370034,0.0841698,0.11482394,0.1510787,0.18393551,0.2038033,0.2079411,0.20068432,0.19103445,0.18541323,0.18497145,0.18568955,0.18334402,0.1768344,0.16963701,0.16686471,0.17143637,0.17969751,0.1823156,0.16958696,0.14063962,0.106719024,0.08637998,0.0925197,0.1230293,0.16032259,0.18349902,0.18180071,0.16194183,0.14207117,0.13895981,0.15762025,0.18939668,0.22022064,0.23916923,0.24453406,0.24045186,0.23210956,0.22084223,0.20657903,0.19084053,0.17948945,0.1782865,0.1894288,0.20900156,0.22991872,0.24376373,0.24266607,0.2224431,0.18642522,0.14709483,0.119053386,0.11008028,0.1154268,0.1227712,0.12124566,0.10864619,0.09152985,0.08038017,0.083601594,0.10329316,0.13453005,0.16797411,0.19465406,0.20982425,0.21389253,0.210203,0.20201261,0.19045945,0.17450987,0.1529274,0.1271471,0.10329781,0.08984053,0.09243873,0.10904673,0.13135935,0.15011746,0.16084403,0.16431336,0.16407426,0.16326647,0.1636247,0.165496,0.16817676,0.17035379,0.17086636,0.16967076,0.16771883,0.16604622,0.16466732,0.1629862,0.16092773,0.15961033,0.1604182,0.16359894,0.16785397,0.17126201,0.17256753,0.17189138,0.17039418,0.16957617,0.1701349,0.17174353,0.17314957,0.17340483,0.17240693,0.17119224,0.17089193,0.17203282,0.1740309,0.17605692,0.1776768,0.17926256,0.18228878,0.18980943,0.20692907,0.23655343,0.27531555,0.311043,0.3307999,0.3285338,0.30905932,0.28180513,0.25506827,0.23405088,0.22272049,0.2235784,0.23546626,0.25230333,0.2662741,0.2717684,0.26824656,0.25888827,0.24887097,0.24307995,0.24548621,0.25702664,0.27521238,0.2932907,0.3047075,0.30526277,0.29701877,0.28444546,0.2740827,0.27021495,0.27674815,0.29354104,0.31737006,0.34039688,0.35494244,0.3561636,0.3448837,0.32592297,0.30455622,0.2838331,0.2637091,0.2443005,0.22774959,0.21954279,0.22623557,0.25026894,0.2863299,0.31915525,0.33412078,0.32407033,0.29636922,0.2625884,0.23345454,0.21310265,0.20383559,0.20544218,0.21601398,0.23320849,0.259271,0.302531,0.36805645,0.4492631,0.52397627,0.5711023,0.5808043,0.5630451,0.53320265,0.50580174,0.4856763,0.47358,0.46644446,0.46163538,0.457055,0.4526738,0.44907415,0.4445568,0.43467912,0.41385397,0.38090762,0.3397304,0.29829082,0.26376233,0.2400312,0.2261039,0.216455,0.20615752,0.1961949,0.1958338,0.21491897,0.25432345,0.30395174,0.34881142,0.37900856,0.38986993,0.38106418,0.3517969,0.304627,0.24576773,0.18650235,0.13694032,0.102772705,0.084042616,0.080277584,0.09327685,0.12486315,0.17166214,0.22263761,0.26513004,0.29083493,0.30093548,0.3013475,0.298946,0.29627666,0.29366627,0.29064742,0.29008606,0.29910794,0.32998443,0.39063096,0.47459236,0.55248046,0.58984685,0.56861514,0.5050506,0.43269876,0.3803699,0.3546065,0.34767726,0.34917864,0.35399178,0.36022034,0.36540994,0.36474487,0.35199082,0.3228133,0.27840927,0.22772455,0.185279,0.16525352,0.17405796,0.20670587,0.2492072,0.28613484,0.3077226,0.31389487,0.31206346,0.31312516,0.32191172,0.33527896,0.34163487,0.33446762,0.31490198,0.29391953,0.27950418,0.27446568,0.27418628,0.27362645,0.2690809,0.26025686,0.24906383,0.23902684,0.23367095,0.23454152,0.23954223,0.24293911,0.23879294,0.2252086,0.20668198,0.1911126,0.18409185,0.1853268,0.18957283,0.19162208,0.19123696,0.1966567,0.22434644,0.28877077,0.38882244,0.4969708,0.57380456,0.5915442,0.555651,0.4956642,0.44415152,0.41652897,0.41062787,0.41647744,0.4258752,0.43555167,0.44273588,0.44223127,0.42595652,0.3895763,0.33598375,0.2751846,0.218413,0.17522168,0.15313548,0.15707119,0.18536685,0.22646524,0.2628994,0.28197184,0.2834447,0.278909,0.2793279,0.2864946,0.28949288,0.27725008,0.24727362,0.21120842,0.18435371,0.17697929,0.18645845,0.20129585,0.20641916,0.19299878,0.16218303,0.12652455,0.10324874,0.10584777,0.13549523,0.17977637,0.2199306,0.24208517,0.24353991,0.23069012,0.21213788,0.1950015,0.18409538,0.18268245,0.19230513,0.21471381,0.25648504,0.32695913,0.42777458,0.5363664,0.6116935,0.61701334,0.551255,0.44652328,0.34709856,0.2789723,0.24715269,0.24216814,0.2533866,0.2705225,0.28571832,0.2940127,0.29536077,0.29301623,0.28988978,0.28680393,0.28283197,0.2778674,0.27249226,0.26807997,0.26538602,0.2643611,0.26339793,0.26096103,0.2581355,0.25970352,0.27009204,0.2877749,0.30361804,0.30712122,0.29407164,0.26937142,0.24228805,0.22015516,0.20565814,0.19818391,0.19610123,0.19659127,0.19540036,0.18789141,0.17370422,0.15788013,0.14797264,0.14581753,0.14589131,0.13940436,0.12415779,0.1071103,0.10088255,0.11352513,0.14291357,0.17622726,0.19876403,0.20547555,0.20924585,0.23665185,0.30684668,0.41147017,0.51200134,0.56755024,0.56499577,0.52637523,0.4874492,0.46946892,0.47277614,0.48356876,0.49078032,0.48905137,0.4816828,0.47234216,0.46288827,0.4488748,0.42595497,0.39386013,0.35952505,0.33125696,0.31348014,0.30373874,0.2949035,0.27950123,0.25367925,0.22048587,0.18909271,0.17183603,0.17764772,0.20611517,0.24598312,0.27993724,0.29609883,0.2930256,0.2794614,0.26395917,0.25045452,0.23571776,0.2157786,0.18970953,0.16303891,0.14318813,0.135801,0.14183593,0.15952934,0.1843803,0.20914729,0.22550409,0.22830565,0.21875705,0.20260225,0.18662103,0.17512858,0.16932593,0.16757244,0.17019774,0.18386547,0.22504415,0.30652502,0.42322874,0.5395256,0.61150247,0.61292857,0.5585843,0.48637483,0.43171278,0.40534213,0.39875114,0.39879313,0.39773223,0.39545083,0.39265004,0.39057192,0.3860546,0.37611493,0.3563559,0.32780847,0.2947497,0.26503593,0.2441222,0.2344945,0.2353998,0.24404185,0.25609234,0.26690975,0.27511218,0.2840482,0.29790118,0.3160464,0.33024347,0.33234462,0.32010275,0.30040994,0.28194714,0.27071437,0.267192,0.2689023,0.2727696,0.27659884,0.27982688,0.28229234,0.28347003,0.28095263,0.27188417,0.25505158,0.2335269,0.21334703,0.20052086,0.19787659,0.20520292,0.22022045,0.2397844,0.26045886,0.2797505,0.29668513,0.3112085,0.32333687,0.332611,0.3383279,0.33843717,0.33038184,0.3129151,0.2896168,0.2680296,0.25609544,0.2572118,0.26884997,0.28428236,0.29638395,0.30141684,0.3004872,0.29807198,0.29805887,0.30089277,0.30358216,0.30257216,0.2969406,0.28920674,0.28366515,0.283359,0.28852606,0.29641864,0.30254078,0.3020893,0.29259035,0.2760733,0.25884014,0.24746495,0.24378474,0.24448325,0.24455047,0.242287,0.23911981,0.23711164,0.23615988,0.23451863,0.2305461,0.22371738,0.21493773,0.20687853,0.2032819,0.20693672,0.21548612,0.22103561,0.21436147,0.193054,0.16654287,0.15091683,0.15869378,0.18811251,0.22632146,0.2582338,0.27759758,0.28617784,0.28754255,0.28069016,0.2605788,0.22489168,0.17832233,0.13399057,0.105622895,0.10121625,0.11707192,0.14213584,0.16442591,0.17826732,0.18457527,0.18776785,0.19220172,0.20095654,0.21573617,0.2359225,0.2581729,0.2775928,0.290814,0.29733422,0.2985889,0.29543963,0.2875605,0.2745165,0.25734153,0.2387635,0.22193389,0.20899425,0.20015669,0.19427758,0.18984003,0.18598403,0.18259476,0.17963468,0.17637557,0.17103292,0.16215344,0.14988928,0.13693015,0.12684222,0.12257865,0.12500226,0.1329885,0.14372937,0.15374768,0.16040267,0.16283596,0.16205029,0.15981247,0.15775292,0.1570278,0.15804936,0.16076642,0.16455539,0.16971602,0.17845716,0.19556855,0.22517265,0.2666191,0.3121157,0.35071632,0.37475502,0.38387728,0.38289377,0.37711206,0.36915603,0.35929808,0.34703615,0.33214158,0.31420216,0.29158756,0.26197526,0.22350405,0.17779619,0.12942801,0.08566167,0.052979786,0.037203405,0.042464912,0.07018963,0.11598352,0.16827904,0.21335475,0.242061,0.2553405,0.2615173,0.27099797,0.28917387,0.31393933,0.33664092,0.34850848,0.34562108,0.33083275,0.31007025,0.2893393,0.2727264,0.26248124,0.25822583,0.2570878,0.25466445,0.24754596,0.23467885,0.218084,0.20109576,0.18765299,0.18014657,0.1800886,0.1864388,0.19706458,0.20777321,0.21532778,0.21705277,0.21302561,0.20560832,0.20214124,0.21303023,0.24640425,0.2996819,0.3578712,0.4022851,0.42211604,0.42017052,0.4068985,0.39204624,0.37905037,0.3663441,0.35028365,0.32800913,0.2988858,0.2655504,0.23304708,0.20662342,0.1887957,0.17911293,0.17552127,0.17682493,0.18338984,0.19590645,0.21306334,0.23002619,0.24074931,0.24158205,0.23470348,0.22688395,0.22666647,0.23909755,0.26324457,0.29132995,0.31422427,0.32644704,0.32942787,0.3274871,0.32351264,0.31706968,0.30691206,0.29354978,0.27880177,0.26416108,0.24920392,0.23285556,0.21449941,0.19581519,0.17988747,0.17008336,0.16726036,0.16973889,0.17442368,0.17888196,0.18159689,0.18113272,0.17709446,0.1721356,0.17347766,0.19048096,0.22734766,0.27938616,0.33150867,0.3698317,0.38601252,0.3843391,0.37179336,0.35659483,0.34106663,0.32615462,0.31027284,0.2919824,0.2694027,0.24258186,0.2143125,0.19001122,0.17391498,0.1671301,0.16674583,0.16994,0.17578419,0.18644165,0.20336461,0.22519612,0.24628763,0.26071784,0.26596215,0.26649526,0.2717465,0.289897,0.32109675,0.3547616,0.377883,0.38348222,0.37591603,0.36350456,0.35189334,0.34126285,0.33015904,0.3183672,0.30589175,0.29201758,0.2752507,0.25572103,0.23542623,0.21744876,0.20415606,0.19638462,0.1939184,0.19655769,0.20520233,0.2202574,0.23903531,0.25426552,0.258206,0.24900518,0.23442692,0.22813742,0.24101003,0.2737347,0.31596503,0.35297617,0.37443113,0.37864065,0.37050852,0.35596743,0.33900344,0.3212867,0.30343595,0.28539732,0.26592028,0.2431138,0.21480016,0.18070208,0.14283864,0.10649506,0.0780994,0.06339066,0.06514326,0.08372555,0.117129765,0.16026099,0.20362312,0.2360216,0.2507749,0.2505647,0.24671777,0.2514658,0.27042302,0.2981434,0.3229221,0.3343854,0.3305234,0.31656334,0.30011067,0.2858819,0.27490413,0.2656322,0.25632772,0.24646723,0.23853564,0.23711114,0.2464195,0.26589623,0.2898825,0.31025133,0.3216311,0.32263634,0.31541917,0.3031949,0.28980467,0.27790034,0.2681682,0.2590616,0.24981324,0.2431075,0.24445455,0.2574638,0.27907917,0.30041435,0.3125567,0.31222808,0.30205736,0.28660154,0.26952294,0.2535139,0.241219,0.23392268,0.2300003,0.22577512,0.21833612,0.20746607,0.1944084,0.18028843,0.16605361,0.15373892,0.14696918,0.1490374,0.16125567,0.18096304,0.20248611,0.2179241,0.221659,0.21371813,0.20359655,0.20570122,0.23078708,0.27509925,0.3219392,0.35196808,0.3574045,0.34367278,0.32324386,0.30518866,0.29279065,0.2838302,0.27466452,0.26146057,0.2427178,0.21954887,0.19561009,0.17482032,0.15930139,0.14915182,0.14345305,0.14206137,0.14513244,0.15253377,0.16232963,0.1716128,0.17714767,0.17756431,0.17450841,0.17425229,0.18645728,0.21843414,0.26812503,0.3214245,0.36090514,0.37632594,0.37015483,0.35164008,0.3296166,0.30847052,0.28926492,0.27132544,0.25418907,0.23850763,0.22634919,0.21887189,0.21517736,0.21256615,0.20919782,0.20526771,0.20325069,0.20717181,0.22130693,0.24664891,0.27781153,0.30384508,0.3154328,0.31167522,0.30182317,0.2990559,0.31166446,0.33749202,0.36520824,0.38335744,0.38753423,0.3820953,0.3730065,0.36310685,0.3515477,0.33807516,0.32381976,0.3096858,0.29377666,0.27332523,0.24730687,0.21882875,0.19221692,0.17036565,0.15263559,0.13798048,0.12758353,0.12523897,0.13301407,0.1478044,0.1623453,0.17066813,0.1726448,0.17458636,0.18537976,0.21067858,0.2478425,0.2860769,0.31292176,0.32242802,0.31761298,0.30618516,0.2942604,0.2843286,0.27542803,0.2655693,0.2521432,0.23501854,0.21600358,0.1992371,0.18654485,0.17722236,0.1675901,0.1554091,0.14127581,0.12935786,0.12418041,0.12754011,0.13646168,0.14476623,0.14706214,0.1427517,0.13750885,0.14128108,0.1621939,0.20022158,0.24445622,0.27959672,0.29534543,0.2924515,0.27932158,0.26471972,0.2527236,0.24225128,0.23041934,0.21543653,0.1989261,0.18475783,0.17659478,0.1749929,0.17710592,0.1782952,0.17437921,0.1634437,0.14741607,0.13241427,0.12570061,0.13028562,0.1412331,0.14942534,0.14948475,0.14643963,0.152826,0.17893481,0.2229728,0.27090406,0.30611864,0.32059363,0.3175378,0.30577388,0.29208568,0.2795306,0.2683023,0.25796282,0.24721897,0.23486553,0.22081584,0.20584428,0.19077785,0.17400615,0.15368266,0.12920628,0.10570996,0.09185833,0.096764475,0.1223402,0.16183703,0.20155995,0.22927302,0.23944926,0.23656587,0.2309464,0.23333913,0.24810378,0.2715167,0.29492688,0.3107575,0.31685302,0.3154203,0.31014463,0.30321714,0.29584935,0.28879395,0.28285655,0.27810645,0.27337638,0.26646677,0.25398764,0.2332256,0.20349722,0.16908431,0.13797654,0.119089834,0.116795324,0.12837969,0.14480622,0.1552021,0.15258111,0.13769495,0.11899549,0.10771969,0.11103258,0.12801445,0.1507265,0.16998632,0.18001871,0.18062721,0.17494656,0.16694571,0.1587057,0.15006973,0.13908918,0.12513576,0.111023225,0.10348627,0.10807342,0.12451112,0.14519288,0.16090791,0.16668391,0.16425882,0.15855163,0.1536882,0.15070532,0.14879616,0.14667921,0.14415668,0.1417286,0.14035629,0.14037015,0.14152606,0.14310241,0.14459516,0.14592648,0.14732145,0.1489973,0.1507457,0.15205987,0.15228772,0.15130758,0.14953302,0.14784817,0.14681837,0.14652097,0.14648592,0.14630981,0.1458519,0.14537264,0.14519429,0.14552814,0.14632356,0.14747764,0.14894943,0.15074305,0.15255196,0.15378176,0.15505908,0.15941758,0.17268527,0.197322,0.22910565,0.25615007,0.27061614,0.27438545,0.27745545,0.28534076,0.2941641,0.29809415,0.29808834,0.30051348,0.30748633,0.3131534,0.31319362,0.3097386,0.30910572,0.3105127,0.30834818,0.30004,0.2913965,0.28905818,0.2925171,0.29548356,0.29544282,0.295334,0.29836524,0.3007952,0.2973381,0.28843665,0.28081957,0.27894676,0.27899098,0.27562734,0.27028298,0.27046418,0.27965146,0.29202124,0.30089167,0.3073134,0.3177822,0.33317494,0.34438142,0.3437703,0.33384117,0.32538685,0.32383087,0.32484552,0.3226184,0.3174616,0.31443432,0.31345984,0.30848828,0.29479754,0.2746804,0.25516656,0.24034904,0.23289458,0.23968959,0.27259135,0.33667755,0.41661116,0.48173013,0.50625974,0.48955643,0.45241818,0.41898873,0.39966908,0.3912964,0.38585648,0.37895736,0.37071526,0.36356315,0.3592995,0.35656273,0.35126102,0.33760682,0.31408966,0.2845051,0.25924096,0.24913359,0.26146922,0.29450116,0.3380649,0.3779951,0.4033403,0.4109064,0.40466943,0.39226905,0.3807044,0.373911,0.37200275,0.372756,0.37490484,0.38106298,0.39908448,0.43483332,0.48406744,0.5263045,0.537947,0.5082938,0.45135882,0.39404798,0.35860977,0.34985414,0.35818014,0.37076524,0.3792428,0.38224182,0.38044238,0.37494132,0.3662832,0.35729086,0.3517568,0.35241,0.35968658,0.3744552,0.40123835,0.44346234,0.49626717,0.541881,0.56127405,0.5471849,0.51062524,0.47007504,0.43944028,0.42238614,0.4163618,0.4171052,0.42106482,0.42534164,0.42808926,0.42783687,0.42383263,0.4160304,0.4061831,0.39696193,0.39278507,0.39995992,0.4262465,0.47300282,0.5283993,0.56889874,0.5748252,0.545227,0.4982033,0.45639765,0.43161917,0.42223,0.41968492,0.41746116,0.41428325,0.41453198,0.4247582,0.4480231,0.47793308,0.49956536,0.49961117,0.47692165,0.44332087,0.4135956,0.39528584,0.38730502,0.38446832,0.383288,0.3819106,0.37945834,0.37444928,0.36733437,0.36076438,0.35819626,0.35992908,0.36296904,0.36516544,0.36981758,0.38662112,0.42230734,0.47269845,0.517335,0.5350718,0.51653475,0.47464916,0.43011472,0.40013406,0.38761917,0.3870236,0.3894281,0.38954353,0.386413,0.38304174,0.38180783,0.38304487,0.38356826,0.38101473,0.3741702,0.36442944,0.35344705,0.34363046,0.33847272,0.33999434,0.34753513,0.35582682,0.361872,0.36559805,0.3709464,0.37841067,0.38651034,0.39255014,0.3974073,0.4030641,0.41249323,0.42924115,0.45751524,0.4970599,0.5370458,0.5589342,0.5486278,0.5093056,0.45929202,0.41852692,0.39552817,0.38748226,0.3879942,0.3931247,0.40032557,0.40675858,0.40967572,0.40940014,0.4084257,0.4090943,0.4107227,0.41218948,0.41498998,0.42569098,0.4492555,0.4831247,0.51273817,0.5231121,0.5076207,0.47591844,0.44237724,0.41879833,0.4059275,0.4000471,0.39641282,0.39432633,0.3944582,0.39683878,0.39947215,0.39983287,0.39732906,0.39340246,0.3906305,0.39132592,0.39830175,0.4165351,0.45000777,0.49553728,0.53628176,0.5494744,0.52158046,0.46197757,0.39702913,0.3522379,0.33630916,0.34134182,0.35346758,0.3636404,0.3713077,0.3832221,0.40848276,0.4496343,0.49644557,0.52844757,0.530063,0.50246483,0.46248007,0.4296329,0.4125925,0.40938783,0.41113845,0.41308752,0.4132965,0.41389826,0.41451108,0.41514125,0.4160733,0.4193531,0.42506075,0.42974618,0.42984107,0.42695376,0.42987666,0.4462862,0.47356072,0.4961914,0.49765205,0.4735258,0.43496978,0.39862466,0.3747847,0.36427328,0.3624443,0.36423802,0.3657986,0.365046,0.36319947,0.3631996,0.3681756,0.37684354,0.38659286,0.39375797,0.3980206,0.39907536,0.39786696,0.39378986,0.3866893,0.37567723,0.36172104,0.34721556,0.33619323,0.33097503,0.33153975,0.33551598,0.34062424,0.34478006,0.34847787,0.35596272,0.3777139,0.4205896,0.47972652,0.5322032,0.55443,0.537399,0.49562144,0.45218277,0.42270827,0.40808567,0.4003851,0.39382407,0.38752782,0.38428375,0.38433108,0.38517487,0.38250625,0.37423065,0.36155117,0.3491776,0.34381452,0.35282588,0.38232633,0.43142387,0.48814547,0.5304215,0.5400793,0.5145009,0.46917984,0.42455974,0.3940349,0.37923983,0.37516403,0.37551403,0.37670353,0.37785086,0.38047406,0.38505688,0.39009297,0.3914489,0.38642678,0.37553978,0.36486623,0.36437175,0.38529322,0.4312104,0.49028745,0.53663313,0.5449516,0.50961715,0.44702363,0.38560307,0.34515163,0.33161613,0.33655897,0.34896412,0.36044928,0.37153494,0.38949367,0.4219475,0.46779537,0.51136965,0.5323681,0.518647,0.4790461,0.4338521,0.40193903,0.38759422,0.38480416,0.3851067,0.38436642,0.3822237,0.37922105,0.37535012,0.3704054,0.36444238,0.3579804,0.35143837,0.34733048,0.35150445,0.37321398,0.41673163,0.4736947,0.5216604,0.53828937,0.51697165,0.47168687,0.42492196,0.39199618,0.37525305,0.36877558,0.36650982,0.36559483,0.36623916,0.36954808,0.37578735,0.38305995,0.38801348,0.38831735,0.38485217,0.38093626,0.37934777,0.38034007,0.38268808,0.38546208,0.38893855,0.39317322,0.39786756,0.40197536,0.40516016,0.4074016,0.40954602,0.41230723,0.4162673,0.4215796,0.42907512,0.44186282,0.46355394,0.49451318,0.5248263,0.53904116,0.52355355,0.481655,0.42895103,0.38681614,0.36437738,0.35950053,0.3607346,0.36075735,0.35795566,0.35647568,0.35887015,0.36429647,0.3692962,0.37147853,0.37111762,0.37106207,0.37641606,0.3942047,0.42991468,0.4803218,0.528424,0.5500086,0.53032047,0.4764986,0.41252264,0.36149278,0.33256218,0.3220348,0.32237935,0.3282354,0.33733067,0.34881485,0.3628765,0.3781058,0.39132646,0.39736876,0.39441848,0.3861147,0.38217333,0.3937705,0.42639753,0.47456875,0.5190217,0.53742236,0.51686376,0.46586394,0.40732375,0.36374354,0.34360543,0.34147367,0.34765944,0.35524082,0.3640035,0.3784589,0.40678462,0.45213303,0.5058342,0.54645914,0.5539515,0.52484167,0.47442672,0.42531666,0.39077738,0.37219873,0.36187336,0.354398,0.3480655,0.3459184,0.34910682,0.35580802,0.36165205,0.3638153,0.36261478,0.36076477,0.36285862,0.3755435,0.40554556,0.45293903,0.5044995,0.5375287,0.5340399,0.49519178,0.44003257,0.39192677,0.36337462,0.35377708,0.35553995,0.3620943,0.37032616,0.37949288,0.3899448,0.40075195,0.40994373,0.41385126,0.41131005,0.40385005,0.39572665,0.3895115,0.38541135,0.38222858,0.37975356,0.3792955,0.38210973,0.38807383,0.39539585,0.4018537,0.4060907,0.40782106,0.40750697,0.40591934,0.4053357,0.4106946,0.42896524,0.46267667,0.503527,0.532106,0.53088576,0.4976972,0.44863787,0.4051461,0.37892225,0.36823857,0.36465654,0.3630773,0.36322764,0.36709532,0.37409952,0.38144565,0.38610747,0.3874991,0.3871216,0.38704038,0.38952246,0.39854756,0.42103758,0.46043643,0.50956637,0.5476236,0.5544496,0.5248179,0.47392032,0.42314318,0.38489762,0.35803166,0.33568132,0.31475908,0.2976171,0.2886879,0.29113188,0.30435345,0.32510343,0.34635746,0.36289176,0.37160888,0.3767722,0.3864572,0.41255343,0.4585774,0.51279,0.54679656,0.53590184,0.47845924,0.39945713,0.33119527,0.29198048,0.28102958,0.2869728,0.29929543,0.3128779,0.3295162,0.35657355,0.40117195,0.46004692,0.51411206,0.5379235,0.518568,0.46740806,0.4113214,0.37273648,0.3564261,0.3528985,0.35124698,0.3470765,0.34315714,0.34314469,0.34908244,0.35872328,0.36882687,0.37579975,0.37954748,0.38250756,0.39022014,0.40884233,0.4415126,0.48332357,0.5190776,0.5319293,0.5140825,0.47417927,0.42912588,0.39392856,0.37404302,0.3683274,0.37210086,0.38020983,0.38764608,0.39204243,0.39363635,0.39397815,0.39350793,0.3921211,0.39036024,0.38917586,0.38936397,0.39082587,0.39365402,0.39690605,0.39912024,0.399042,0.3972713,0.39478114,0.3904815,0.38184872,0.36820588,0.3532566,0.34229517,0.3382516,0.34187034,0.35571837,0.38575104,0.4330757,0.48539567,0.51943445,0.5174853,0.48336694,0.4380968,0.4045869,0.38923892,0.3855547,0.3812816,0.3723141,0.36008072,0.35009298,0.3443499,0.34383473,0.3475176,0.35497013,0.36375943,0.37239835,0.3813399,0.3962225,0.4232274,0.46410093,0.5082379,0.5370254,0.5321085,0.4913025,0.42852852,0.36828148,0.32815388,0.31444287,0.32082048,0.3371711,0.35362396,0.36483613,0.37084746,0.37464532,0.37941408,0.3838927,0.38604322,0.3844737,0.38410544,0.39311185,0.4204667,0.46564007,0.5139919,0.5407739,0.52853024,0.4816014,0.42354107,0.37906492,0.35727605,0.35124293,0.34887376,0.34403083,0.33907315,0.3425628,0.3652161,0.41242412,0.4767724,0.5344182,0.5587473,0.53762096,0.48395744,0.42457554,0.38167855,0.36222568,0.35916308,0.36266187,0.3650478,0.36529484,0.36480638,0.36654732,0.37154546,0.37956095,0.38899207,0.39836267,0.4084164,0.42324936,0.4491607,0.48731112,0.52873594,0.55535316,0.5528887,0.5219076,0.47796237,0.43951523,0.4141675,0.39746857,0.3795561,0.35655352,0.33285138,0.31792116,0.31847474,0.3332459,0.35398754,0.36984423,0.3753971,0.3715179,0.36426947,0.3578823,0.35433915,0.3531705,0.35450706,0.35777745,0.36131406,0.3625885,0.36057654,0.35701588,0.35480377,0.355456,0.35766795,0.35904875,0.35954097,0.36387742,0.38136816,0.4184729,0.47088686,0.51904774,0.53973705,0.52177936,0.47614565,0.42651916,0.39192376,0.37621236,0.37117907,0.36818787,0.3637483,0.35958853,0.3573843,0.35747597,0.35906228,0.36169294,0.3650149,0.36801934,0.37140617,0.3795433,0.40165076,0.4417235,0.49122605,0.52662206,0.5274975,0.49107945,0.43643057,0.38780808,0.35886398,0.34866396,0.34871662,0.352533,0.35733745,0.36321482,0.36992523,0.37619933,0.38005975,0.37924513,0.37322906,0.36326513,0.35465285,0.3551949,0.37494144,0.41735876,0.47433433,0.5228025,0.5402655,0.5180618,0.47024116,0.41963091,0.38407826,0.36680627,0.3622613,0.3631887,0.3665029,0.37445855,0.39405093,0.432297,0.48740605,0.54244494,0.571405,0.5567506,0.50389916,0.4379171,0.38515994,0.3570477,0.34820542,0.34672096,0.34411582,0.3388829,0.3338586,0.33236125,0.33517185,0.33985054,0.3424921,0.34067455,0.33538413,0.32930443,0.3238857,0.31661928,0.30337274,0.28172684,0.25480482,0.22898833,0.21019943,0.19985725,0.1961447,0.19688852,0.2015235,0.21001017,0.22079366,0.23107882,0.23824303,0.24148588,0.2410792,0.23773943,0.23206805,0.22501607,0.21714486,0.2077173,0.19430189,0.17457448,0.14848818,0.11912487,0.0907181,0.06664988,0.04882506,0.039759498,0.042482,0.059280083,0.087397516,0.11982163,0.14720373,0.16419779,0.17033261,0.16969751,0.16620786,0.16216612,0.1579814,0.15428732,0.15246342,0.15377013,0.15783948,0.16257603,0.16571619,0.1662416,0.16454965,0.16137676,0.15737152,0.15304969,0.14921473,0.1465723,0.14560266,0.14619523,0.14752288,0.14819844,0.14696322,0.14456302,0.14330107,0.14602184,0.15246855,0.16019414,0.16560756,0.16764468,0.16704254,0.1657142,0.16481231,0.16465421,0.16429271,0.16143642,0.15292932,0.13762069,0.11842672,0.10265565,0.09620441,0.09979562,0.107216604,0.11181592,0.11068782,0.10705146,0.10565522,0.10929174,0.11647632,0.12349388,0.12696849,0.12670352,0.12586658,0.12888402,0.13771325,0.14997919,0.160673,0.1653166,0.16236807,0.15341087,0.14291324,0.13631135,0.13717957,0.14431341,0.15285407,0.15774053,0.1574542,0.15417789,0.15165122,0.15250741,0.15656374,0.16185917,0.16603063,0.16846485,0.16999406,0.1722949,0.1760907,0.18020266,0.18228407,0.18355924,0.19401182,0.23174202,0.30803433,0.41141686,0.5049761,0.55102044,0.5376966,0.48636246,0.4310186,0.3931388,0.37319472,0.35691372,0.33086538,0.2916109,0.251131,0.2280562,0.2345225,0.26534107,0.30266717,0.33070502,0.34569156,0.3544248,0.36422133,0.37788975,0.3936508,0.40874252,0.4207429,0.4285011,0.43219483,0.43300295,0.43197957,0.42953566,0.42604867,0.42250264,0.42040452,0.4215108,0.42855534,0.4463931,0.47831765,0.52064604,0.5578427,0.57129294,0.55137354,0.5072144,0.4589235,0.4235647,0.40564767,0.39918813,0.39757696,0.39769414,0.4004887,0.40590334,0.41239497,0.41763675,0.42088723,0.42331895,0.42582324,0.4294294,0.43591976,0.45092568,0.4782062,0.51407915,0.5428111,0.5467667,0.51922554,0.47092986,0.42300916,0.3915278,0.38062903,0.3818058,0.3839582,0.37885383,0.36637887,0.35240757,0.34418026,0.3442324,0.34821904,0.34847972,0.3388534,0.31935906,0.298934,0.29630244,0.32872936,0.39635074,0.47261205,0.5217007,0.5241262,0.49020696,0.44714466,0.4164687,0.40453973,0.4046986,0.40875915,0.4110923,0.4133325,0.4224712,0.44758663,0.49026737,0.5379092,0.56802845,0.5622397,0.5214722,0.464383,0.4153993,0.3873295,0.37868747,0.37869716,0.3792301,0.3775911,0.3755928,0.37445346,0.374588,0.37625337,0.3800467,0.38589263,0.3929514,0.40263626,0.42061952,0.45297965,0.4975697,0.53743327,0.5509111,0.52688295,0.47738925,0.4256396,0.39031565,0.37302765,0.3644066,0.3529447,0.3323542,0.30463,0.27934912,0.26933038,0.28036472,0.30592716,0.32948437,0.33677664,0.32499602,0.3068659,0.30463228,0.3364358,0.40189803,0.4749062,0.520993,0.5190305,0.47986802,0.4349644,0.41745678,0.43999192,0.48881593,0.5316991,0.53788465,0.49900648,0.43247354,0.36756444,0.32405984,0.3031012,0.2929343,0.27939096,0.25642043,0.22752805,0.2073381,0.20842177,0.23409097,0.26748142,0.28721082,0.2789996,0.2542598,0.24123909,0.2704347,0.3478826,0.4462762,0.51918775,0.5335193,0.49468806,0.44056138,0.41431105,0.4344324,0.4859375,0.5319093,0.53957224,0.5009112,0.43523988,0.37180972,0.3295569,0.30898166,0.29859403,0.28566983,0.26486745,0.23976527,0.22219847,0.22170438,0.24061151,0.26557386,0.2804595,0.27303904,0.2519693,0.23959057,0.2630681,0.3307993,0.42342845,0.5017809,0.5327893,0.51383674,0.4730258,0.44899908,0.46159032,0.4989426,0.52566195,0.5094157,0.44453487,0.35584414,0.28184354,0.24800198,0.25542703,0.28333905,0.3093243,0.32197568,0.32550013,0.33024684,0.34150997,0.35734454,0.36939943,0.3734527,0.36893055,0.3623847,0.35915312,0.36282778,0.3707644,0.3778063,0.37915182,0.37441847,0.36745992,0.362492,0.36030313,0.35708606,0.34726772,0.32792246,0.3010026,0.2725909,0.24864131,0.23224229,0.22303946,0.21929199,0.21924628,0.22120935,0.22344768,0.2242067,0.22240205,0.21750171,0.20976208,0.1999668,0.18918025,0.17766231,0.16448826,0.14856173,0.13106193,0.11619783,0.108896464,0.11040181,0.11698508,0.12297031,0.12622432,0.13048238,0.14293338,0.16825978,0.20389958,0.24028961,0.26657197,0.27724624,0.2742933,0.26384875,0.25142807,0.23981106,0.229903,0.22199245,0.21625797,0.21229927,0.20922883,0.20601857,0.20223366,0.19822435,0.1946078,0.19165094,0.18885599,0.1855229,0.18128936,0.17646922,0.1713432,0.16537194,0.15732968,0.14782673,0.14190854,0.14844038,0.17371453,0.21491046,0.2594829,0.29320467,0.30846623,0.30708686,0.2955197,0.28008857,0.26421216,0.24917148,0.23445004,0.21869719,0.20086087,0.18158816,0.16384687,0.15072922,0.14368989,0.1405102,0.13803549,0.13413088,0.13069756,0.13165955,0.14040826,0.15610123,0.17332937,0.18552965,0.18988575,0.19116746,0.19866808,0.22010182,0.2546828,0.2935435,0.32514718,0.34257102,0.34612122,0.34078303,0.33179423,0.32158542,0.3104557,0.2978122,0.28405562,0.2695253,0.25495246,0.24050854,0.22709249,0.2149681,0.20367707,0.19160652,0.17793238,0.16388027,0.15265815,0.14709817,0.14723045,0.14941286,0.14849198,0.14158313,0.13156508,0.1270595,0.13746248,0.16585629,0.20499231,0.24187867,0.2656168,0.27390316,0.27042922,0.26121512,0.24964905,0.23787107,0.22625606,0.21559608,0.20572245,0.1963629,0.18645279,0.17562449,0.16478504,0.15590757,0.15024883,0.1470011,0.14418094,0.1407545,0.13794148,0.13797604,0.14165907,0.14710252,0.1514478,0.15439413,0.16018634,0.17518032,0.20206285,0.23591089,0.26598668,0.2828444,0.28391895,0.27436987,0.26184377,0.25172496,0.24447073,0.23757322,0.22783244,0.21348538,0.19487037,0.1747591,0.15748484,0.1463636,0.14098656,0.13710889,0.12999094,0.11885225,0.10822103,0.104673296,0.11124641,0.124590755,0.13789535,0.1466494,0.15227108,0.1603628,0.17571831,0.19839157,0.22323781,0.24360263,0.25518772,0.25783455,0.25413868,0.24708633,0.23947196,0.23253618,0.22652656,0.21951711,0.21050154,0.19952492,0.18905075,0.18089552,0.17568599,0.17222863,0.16921146,0.16658272,0.16540189,0.16762714,0.17339462,0.18148474,0.18808495,0.19056217,0.18785168,0.18361636,0.18347204,0.19284946,0.21199793,0.23583269,0.25660622,0.2687453,0.27095234,0.26509467,0.25422424,0.2408515,0.22695325,0.21321909,0.20002776,0.18698268,0.17421605,0.16191714,0.15101773,0.14229614,0.13562928,0.12946354,0.12096984,0.107700296,0.088751435,0.06605275,0.043501187,0.025175817,0.013101903,0.0068180542,0.0049704504,0.007396391,0.015878072,0.032186758,0.05541451,0.08064983,0.10139763,0.1131784,0.11587277,0.11238208,0.10601515,0.09860697,0.090624325,0.08209306,0.07337762,0.06543015,0.059516054,0.05647109,0.055950683,0.056210395,0.054842684,0.050028563,0.041500907,0.030705003,0.01991578,0.011165462,0.0053249537,0.0021597391,0.0007677502,0.0002822341,0.0001313433,7.8426434E-05,4.892128E-05,3.0887622E-05,2.0165151E-05,1.4948585E-05,1.38135465E-05,1.4838862E-05,1.6326405E-05,1.727179E-05,1.7536628E-05,1.714572E-05,1.6096978E-05,1.4268006E-05,1.1785065E-05,9.10956E-06,6.9655325E-06,5.9696813E-06,6.4274986E-06,8.008311E-06,9.972701E-06,1.1328836E-05,1.1647447E-05,1.11883965E-05,1.0715327E-05,1.0745917E-05,1.1236351E-05,1.1906589E-05,1.2661335E-05,1.3708156E-05,1.5253415E-05,1.7159977E-05,1.9148656E-05,2.1048705E-05,2.3049024E-05,2.5356736E-05,2.7787639E-05,2.9800956E-05,3.085202E-05,3.0872765E-05,3.0110583E-05,2.8811095E-05,2.7030175E-05,2.480688E-05,2.2406157E-05,2.0328445E-05,1.9039826E-05,1.876166E-05,1.9390145E-05,2.0854166E-05,2.3506947E-05,2.7930868E-05,3.4655524E-05,4.336645E-05,5.3502852E-05,6.384188E-05,7.3543895E-05,8.1451006E-05,8.735107E-05,9.0712485E-05,9.141878E-05,8.9021014E-05,8.434355E-05,7.8960984E-05,7.4465665E-05,7.116788E-05,6.836638E-05,6.568983E-05,6.346332E-05,6.209668E-05,6.1411636E-05,6.084706E-05,6.0433686E-05,6.0401533E-05,6.0866052E-05,6.12085E-05]