[0.0020295638,0.005129902,0.015608005,0.036828924,0.070083894,0.11001897,0.14774883,0.17336313,0.18095954,0.16964065,0.14313483,0.11076038,0.08297748,0.0689018,0.06862923,0.076184094,0.08308982,0.08589268,0.08590439,0.08494354,0.08240221,0.07561013,0.06604289,0.059425116,0.06333628,0.0799385,0.104770504,0.13010731,0.14925735,0.15928937,0.15803365,0.14552629,0.12371727,0.1011006,0.08867619,0.09554135,0.12061367,0.15380578,0.1823255,0.20024623,0.20995207,0.21705532,0.22280009,0.22379261,0.21616487,0.20145786,0.18582626,0.17633183,0.17582522,0.1826906,0.19330812,0.20396905,0.2121192,0.21478043,0.2119305,0.20508762,0.19929677,0.19778623,0.20259915,0.21176748,0.22133665,0.22723456,0.22733818,0.22363985,0.2179866,0.21258341,0.20773035,0.20556879,0.20823012,0.21668755,0.22945154,0.24383096,0.25917497,0.27566573,0.29267904,0.30654553,0.31413135,0.31645104,0.31822267,0.3230047,0.32861778,0.33062837,0.3271964,0.32198623,0.31923,0.31896225,0.31723765,0.31041443,0.30032104,0.2917571,0.28907195,0.29154634,0.29691756,0.30518356,0.3187746,0.33702314,0.3510996,0.3506175,0.3321254,0.30462983,0.28088048,0.26909944,0.26917544,0.27638444,0.28520024,0.2883129,0.27937782,0.25470725,0.22151865,0.19387297,0.18606158,0.1987592,0.21929322,0.23254615,0.23616348,0.24292755,0.26577353,0.30268648,0.335511,0.3469442,0.33464742,0.30994347,0.28459537,0.2621662,0.2417623,0.22460908,0.21357161,0.20791622,0.20075904,0.18722498,0.17003284,0.16061597,0.16715364,0.18830831,0.21312813,0.23392467,0.25323725,0.28072062,0.31926,0.35777512,0.37900177,0.37479544,0.35298064,0.32823786,0.30968812,0.2971492,0.28778931,0.2809466,0.27651623,0.27179945,0.26398852,0.2552791,0.2537907,0.2663878,0.29271278,0.32222748,0.3431288,0.34884858,0.34558305,0.34282437,0.34578505,0.3473297,0.3391869,0.32054472,0.3014551,0.291797,0.29321468,0.29974303,0.30471465,0.30599162,0.30505022,0.30405954,0.30377638,0.30379555,0.30369076,0.303411,0.30278468,0.3018241,0.301996,0.3072563,0.32109907,0.34096968,0.3559375,0.35282734,0.32760093,0.2899923,0.2573708,0.24194176,0.24502794,0.2579354,0.2702356,0.27217808,0.25977588,0.23267947,0.19932441,0.17169581,0.16240324,0.17289655,0.19375195,0.21139444,0.22227515,0.23612666,0.26499093,0.30778158,0.34703425,0.36354557,0.35255787,0.32537296,0.296765,0.27322838,0.2542018,0.2381441,0.22523892,0.21345843,0.19766283,0.17534573,0.15235794,0.14196067,0.15330045,0.1837576,0.21921845,0.24867304,0.27231476,0.2997006,0.33323303,0.36221537,0.37054422,0.3541251,0.32427576,0.2966502,0.27827713,0.2665874,0.2578955,0.25181937,0.24880774,0.2463261,0.23996001,0.22943793,0.21946914,0.21735035,0.2253402,0.23969574,0.25405785,0.2666576,0.28274047,0.30666023,0.3344461,0.35148132,0.3468541,0.32258463,0.2944851,0.27747142,0.27627066,0.28531983,0.29624808,0.30368426,0.30559972,0.30236912,0.29538062,0.28682616,0.2791039,0.2733494,0.26869556,0.26333654,0.25840542,0.26036277,0.27606007,0.30419204,0.3302386,0.33648384,0.3156804,0.2785598,0.2435217,0.2233131,0.21830393,0.22198404,0.22810255,0.2320559,0.23018222,0.21919435,0.2017446,0.18565683,0.18082291,0.19002722,0.20855258,0.22897281,0.24968083,0.27605298,0.31213233,0.35185626,0.37864327,0.37866804,0.35301015,0.31779522,0.29103813,0.27980328,0.27953494,0.282004,0.28338334,0.2844199,0.28635302,0.2880408,0.28718352,0.28321424,0.2773507,0.27058125,0.26246226,0.2543557,0.2525719,0.2654181,0.2935659,0.32402194,0.33799592,0.32655594,0.29890272,0.2725203,0.2586491,0.25582933,0.2576724,0.25967917,0.2594448,0.252488,0.23301707,0.20192389,0.17002328,0.15400565,0.16264687,0.19103038,0.22409125,0.2512375,0.27325654,0.29730907,0.32325944,0.34002125,0.33607712,0.31339765,0.2863489,0.26907822,0.26355597,0.26352325,0.2629183,0.26201275,0.26330802,0.26755008,0.2724818,0.27533534,0.27517977,0.27223572,0.2671564,0.2598418,0.2531327,0.2535942,0.26954558,0.30021155,0.33196363,0.34417033,0.32712594,0.28911465,0.24990575,0.22393383,0.21409623,0.21518795,0.22186708,0.22906095,0.23168583,0.22460687,0.20920669,0.1933072,0.18857126,0.19959915,0.22201635,0.24535643,0.26501337,0.2854625,0.31383857,0.3474115,0.37105846,0.36994508,0.34371746,0.3079284,0.2804868,0.26801515,0.26552063,0.26421297,0.26053628,0.25495318,0.24921359,0.24283932,0.2353934,0.22790639,0.22288089,0.22209723,0.22521763,0.23219675,0.24549013,0.26938397,0.30235726,0.33293346,0.34418884,0.32813564,0.2926883,0.25530407,0.22864127,0.21361451,0.20467554,0.19682254,0.18943691,0.1830123,0.17835607,0.17564167,0.17596473,0.17963254,0.18542705,0.18981071,0.19030787,0.18749356,0.18567693,0.18772143,0.19257206,0.19480996,0.19086206,0.18108849,0.17013676,0.16187793,0.15795259,0.15735577,0.15876774,0.16128469,0.16434123,0.16803358,0.1742463,0.18818916,0.2155556,0.2571715,0.30502462,0.34594133,0.37145767,0.38331357,0.3913144,0.4012636,0.4107615,0.4105382,0.39693916,0.37361893,0.34994793,0.3304809,0.31562254,0.30323157,0.2955393,0.2957267,0.30454674,0.31423095,0.31446627,0.30044386,0.28138232,0.2730917,0.2854136,0.31273025,0.34194708,0.3648404,0.38277268,0.3973199,0.40259406,0.38858196,0.353256,0.3059086,0.26032022,0.22303455,0.19342387,0.16930576,0.1539033,0.15208972,0.16445889,0.18442988,0.20413603,0.222865,0.24718492,0.28330263,0.32628748,0.36362132,0.38536456,0.39416227,0.3973229,0.3966826,0.38480356,0.3575492,0.32185093,0.29230815,0.27689278,0.27131632,0.26471686,0.2504317,0.22855537,0.20233142,0.17303284,0.1428141,0.11727304,0.10691458,0.11883962,0.15146525,0.19378303,0.23586476,0.27561274,0.31635037,0.35518083,0.37864128,0.37340602,0.34161067,0.30469227,0.28753048,0.30096248,0.3349841,0.37056783,0.39237717,0.39562765,0.38286528,0.36087337,0.33922789,0.32723618,0.3290653,0.33950472,0.34870124,0.35018703,0.34663582,0.34593436,0.35143968,0.35685435,0.34984565,0.3245187,0.28699183,0.251402,0.22786058,0.21702866,0.21306895,0.2099049,0.20271535,0.18770762,0.16261388,0.13205847,0.10688481,0.10046043,0.117533825,0.1518086,0.1894932,0.22257066,0.25416586,0.29156587,0.33061752,0.35127592,0.333832,0.27968523,0.2132629,0.16168201,0.13411006,0.12273655,0.11701367,0.11489668,0.11715486,0.12092357,0.11858544,0.10836009,0.09722749,0.096363954,0.10922384,0.12918265,0.14788383,0.16547509,0.19188331,0.23356523,0.28332132,0.32101622,0.3308566,0.31283107,0.28184465,0.2535812,0.23650323,0.23221837,0.24115099,0.26116195,0.28508675,0.3000566,0.29898837,0.28659937,0.27938807,0.28874218,0.31249347,0.3360219,0.34835446,0.35138762,0.35569373,0.36703455,0.3780007,0.37586582,0.35547304,0.32533216,0.29950806,0.28653204,0.28588486,0.2920338,0.3004454,0.30886126,0.31667316,0.3231456,0.32778397,0.33044705,0.33148834,0.33072376,0.32716253,0.32127908,0.31676853,0.32056698,0.33498612,0.35407507,0.36502245,0.36182415,0.34970656,0.3403864,0.33774248,0.33574283,0.3250862,0.30271676,0.27048874,0.23194896,0.1893702,0.1489232,0.11994123,0.11370393,0.13339551,0.17264096,0.21629767,0.25358513,0.28330043,0.3124206,0.34040615,0.35474026,0.3386732,0.29157302,0.23133896,0.18228488,0.15497889,0.14528102,0.14390558,0.14893144,0.1633174,0.1887247,0.2196613,0.24964178,0.2759886,0.30203056,0.33031002,0.3588977,0.38308787,0.4005129,0.41312423,0.42140839,0.4206411,0.40298733,0.36793807,0.3264649,0.29390803,0.27691868,0.26972893,0.26267767,0.25257266,0.2428746,0.23741199,0.2347246,0.23142229,0.22598697,0.22165848,0.22210498,0.22836854,0.2380023,0.25002426,0.26878774,0.30004355,0.3424932,0.38262463,0.4043306,0.40135798,0.38202727,0.3597,0.34223008,0.3310946,0.325838,0.3279799,0.33747813,0.3512886,0.36323223,0.36824274,0.3646958,0.355059,0.34380123,0.33432612,0.32903466,0.33086205,0.34385216,0.36650217,0.3872235,0.38759875,0.35828218,0.3071306,0.25509873,0.21816234,0.19954403,0.19121194,0.18490572,0.17522436,0.16064186,0.14083742,0.11926678,0.10255938,0.09935492,0.113511026,0.14144526,0.1737002,0.20410396,0.2351472,0.27247787,0.3124456,0.33687642,0.32758364,0.28384128,0.22660087,0.18080516,0.15798914,0.15341033,0.1569284,0.16338377,0.17180765,0.18155505,0.18792619,0.18689221,0.177574,0.16516401,0.1559637,0.15420726,0.16120242,0.17894627,0.2121944,0.26075235,0.3132268,0.3468537,0.34577885,0.31198812,0.26544917,0.22568882,0.20173301,0.19106156,0.18838198,0.18893366,0.18930618,0.18701357,0.18440731,0.18949771,0.21172564,0.2517272,0.29700044,0.32855824,0.33651242,0.3287793,0.32369044,0.3318843,0.34648955,0.35277474,0.34534863,0.3333358,0.3274897,0.32663205,0.31986615,0.30055675,0.27574566,0.25880036,0.25664878,0.26405716,0.27334723,0.28400525,0.30376747,0.33694324,0.37825134,0.41525447,0.43982354,0.45125115,0.45259726,0.44334212,0.4206942,0.38581017,0.3477484,0.31889224,0.3059373,0.30622253,0.31144965,0.3155216,0.31736323,0.31881794,0.32009387,0.31913564,0.31457284,0.30826494,0.30429843,0.30397114,0.30545142,0.30727097,0.31429204,0.3314124,0.35399047,0.36384904,0.34578064,0.30492958,0.26563486,0.24956392,0.2561612,0.26901993,0.273993,0.27174208,0.26990223,0.27222416,0.27563885,0.27587366,0.2728897,0.2683914,0.26317152,0.2556207,0.24758881,0.24648142,0.26280797,0.2976985,0.3370986,0.35719132,0.34389308,0.3034886,0.25664887,0.22050375,0.19871193,0.18639755,0.1786655,0.17360736,0.16862388,0.16116303,0.15363413,0.15698434,0.18136336,0.2267869,0.2786794,0.32520092,0.36336184,0.40075466,0.43502557,0.45473945,0.44444224,0.40469444,0.3527228,0.31396595,0.30369723,0.3183469,0.34142077,0.3583556,0.36599052,0.36941013,0.37083718,0.36709368,0.35465184,0.33942282,0.33424175,0.34878764,0.37991953,0.41463825,0.4413501,0.45657405,0.46065733,0.45164505,0.42500457,0.38284174,0.3351667,0.29567516,0.26986018,0.2547172,0.24238461,0.2285216,0.21141672,0.1906485,0.16503455,0.13820498,0.1203132,0.12543418,0.15924166,0.21268399,0.26509726,0.3007734,0.31992194,0.33468547,0.3520385,0.36418208,0.3589301,0.33701077,0.3152313,0.31053367,0.3236635,0.34068945,0.34542844,0.33094564,0.29928446,0.26005656,0.225745,0.20860894,0.2118802,0.22772191,0.24028802,0.23818147,0.2239414,0.21443655,0.22841565,0.26810113,0.31416884,0.33813468,0.32658896,0.28943282,0.24905209,0.22047608,0.20468576,0.19592303,0.19014974,0.18552493,0.1788704,0.1654423,0.14543636,0.12581219,0.11883821,0.13161986,0.16361511,0.20686822,0.2561047,0.30908474,0.3637832,0.4097245,0.43347427,0.42827347,0.40301535,0.37441108,0.35524416,0.34679353,0.34405708,0.34286416,0.34286332,0.3443581,0.34560236,0.3436588,0.33820012,0.33324862,0.33459577,0.34437835,0.3584272,0.37022376,0.37730256,0.38340354,0.3914084,0.39643535,0.38758197,0.36041358,0.3250203,0.3001372,0.2972205,0.31162044,0.32880223,0.337172,0.3345599,0.3247178,0.3117104,0.29844475,0.28751323,0.2811922,0.27866685,0.27616417,0.2704494,0.26505908,0.27150053,0.3004339,0.35025823,0.40270877,0.43638518,0.44158542,0.4258025,0.40207815,0.3780187,0.35431787,0.33166456,0.31481937,0.30885184,0.31381312,0.3236232,0.33213985,0.33767375,0.34378448,0.35299155,0.36531946,0.37834808,0.39230874,0.4072025,0.4200827,0.42215887,0.40547323,0.3703293,0.3274618,0.29044864,0.2669342,0.25653338,0.25661245,0.2650609,0.278627,0.287658,0.28057477,0.25250474,0.21327503,0.18193965,0.17365102,0.18852426,0.214509,0.24085332,0.2688793,0.30471638,0.3443643,0.36757156,0.35804048,0.3233362,0.29488322,0.29910195,0.3351685,0.37795803,0.40251705,0.40131292,0.38365892,0.36331752,0.3496233,0.3443391,0.34466234,0.34629074,0.3477105,0.3502955,0.3582282,0.37445197,0.39874446,0.42342857,0.43659392,0.4272541,0.3962349,0.3561094,0.32600382,0.3171864,0.32879445,0.34843543,0.3637984,0.36794612,0.36242485,0.35161102,0.34191343,0.33899748,0.34822503,0.36759523,0.38711414,0.3921716,0.37822762,0.35665837,0.3463175,0.35473713,0.36989024,0.37558183,0.36763123,0.35727474,0.3526367,0.35054934,0.3400744,0.31718588,0.28752038,0.26298705,0.2541914,0.26769134,0.3012689,0.3444992,0.38074863,0.39921543,0.39890644,0.39058658,0.38598582,0.3916585,0.40174663,0.4021635,0.38008583,0.3370252,0.289638,0.25713274,0.2460648,0.24915801,0.25741902,0.27150297,0.29662192,0.33058324,0.35687235,0.3587774,0.3340669,0.2995601,0.27479446,0.26713726,0.27097252,0.27920482,0.29304603,0.31472445,0.33905837,0.34915754,0.3320037,0.2882934,0.2364145,0.19883144,0.19232975,0.21998203,0.2722166,0.33017614,0.37496018,0.3950527,0.3907496,0.36890855,0.33752224,0.3000451,0.25911108,0.22073172,0.19866629,0.20796783,0.25426924,0.32420394,0.3900585,0.42518255,0.42036143,0.38659635,0.34483278,0.31216004,0.2958111,0.29580358,0.30896497,0.32941782,0.34597266,0.34615612,0.3252757,0.29586235,0.27995768,0.2927418,0.3276812,0.36492896,0.38868347,0.39987752,0.4074737,0.4153037,0.4169842,0.4064728,0.38679644,0.36845723,0.3582915,0.35424638,0.3504595,0.34523413,0.34100643,0.33667192,0.32387233,0.29398295,0.24895597,0.20304035,0.1713013,0.15796877,0.1563225,0.16150235,0.17937529,0.22006036,0.28128317,0.34175047,0.37641796,0.37844262,0.3638873,0.35465935,0.35838482,0.3674724,0.37001014,0.3615208,0.34407517,0.32362542,0.30596316,0.29777834,0.3038708,0.32542428,0.35467133,0.3779825,0.38303864,0.37169984,0.3596245,0.364782,0.3898913,0.42067197,0.4378861,0.4336368,0.4138775,0.38952422,0.3662199,0.34412873,0.32561544,0.3183476,0.32971475,0.35619673,0.3838532,0.39650023,0.3870274,0.35835886,0.32067952,0.2863404,0.2682586,0.2757187,0.3096378,0.35837927,0.40234795,0.4247065,0.42104635,0.39889097,0.36927053,0.34058097,0.3180152,0.30625555,0.3085053,0.32353544,0.34495685,0.36436036,0.37731448,0.38455787,0.3887445,0.38821813,0.37767926,0.35550356,0.33088526,0.3199607,0.33158246,0.35732186,0.3763773,0.3731834,0.34841073,0.31525156,0.28621858,0.26599526,0.25441477,0.25150317,0.25627717,0.26227665,0.25776637,0.2365213,0.20561157,0.18392706,0.18543695,0.20875846,0.23926133,0.26611844,0.2916493,0.32357267,0.3602133,0.38614509,0.38988248,0.37653884,0.3655713,0.369339,0.38359642,0.39450786,0.39429653,0.38598263,0.37668347,0.3693508,0.36293325,0.3559681,0.3517952,0.35480556,0.3669679,0.38222185,0.39214757,0.39363572,0.3934532,0.40099835,0.4163455,0.42941323,0.42827353,0.411216,0.38582745,0.3627094,0.34750924,0.34070292,0.34058967,0.34574887,0.35524997,0.36578858,0.37299272,0.37324944,0.3684459,0.36383137,0.3644949,0.370749,0.38075444,0.3934693,0.4083396,0.4200538,0.41812316,0.395164,0.35537234,0.31355214,0.28408852,0.27240506,0.2745216,0.28239357,0.28761765,0.28279832,0.26345322,0.23206311,0.20057566,0.18573117,0.19798274,0.2314065,0.26776204,0.29130256,0.30371997,0.31810293,0.34274045,0.36790428,0.3771278,0.3635627,0.33774772,0.31499064,0.30246258,0.29679662,0.29277125,0.28998435,0.2904289,0.29420757,0.29769132,0.3004438,0.30641082,0.3226496,0.35021874,0.38428542,0.4172775,0.4456531,0.46977153,0.48973727,0.50243884,0.5019439,0.4850427,0.45438683,0.4184012,0.38599527,0.3614746,0.34394524,0.33024386,0.31800345,0.30605224,0.29329005,0.2814127,0.27563468,0.28462598,0.31206715,0.35306427,0.394677,0.42599943,0.44413236,0.45286557,0.45500818,0.4486499,0.43176302,0.40819827,0.38698554,0.3747631,0.3700098,0.3654915,0.3564463,0.34482792,0.3368226,0.33447516,0.33366475,0.32813242,0.31773615,0.30923975,0.31037977,0.32261026,0.34098515,0.3595265,0.37587836,0.38907707,0.39579508,0.3903995,0.37093663,0.34259102,0.3141005,0.29166397,0.27674678,0.26921487,0.26879302,0.2724097,0.27309918,0.2628952,0.24181795,0.21919172,0.20885529,0.2161567,0.23401992,0.24990056,0.25939366,0.2717277,0.29656819,0.33134866,0.35681465,0.35763672,0.3337879,0.3029796,0.28088316,0.2728505,0.27359387,0.27791432,0.2835972,0.28919947,0.29079702,0.28433523,0.27018625,0.25476992,0.24532433,0.24455781,0.24884908,0.25499594,0.2653559,0.28531206,0.3133291,0.335636,0.33694687,0.31436568,0.28220615,0.25791696,0.24864043,0.24929316,0.25282297,0.25820994,0.26726103,0.27828673,0.28377318,0.279103,0.26892987,0.2655573,0.27621356,0.29565153,0.31164575,0.31914487,0.3254744,0.3390057,0.3559821,0.35994557,0.33902884,0.29763806,0.2543159,0.22498538,0.2136711,0.21517734,0.22440808,0.23976493,0.25864646,0.2743053,0.27892599,0.2709185,0.25678793,0.24565585,0.24151762,0.24245198,0.24689835,0.25966266,0.2873135,0.32795188,0.36617196,0.38311723,0.3714683,0.34051415,0.30792868,0.2859412,0.2779036,0.28051433,0.29077026,0.30459484,0.31630144,0.3169297,0.3027313,0.28036502,0.26780513,0.28010902,0.31771752,0.36531714,0.40480623,0.42779276,0.43412486,0.42659172,0.40587047,0.37767982,0.3526385,0.34223393,0.34733394,0.35800195,0.3609755,0.35029197,0.32719946,0.29571387,0.25753823,0.218143,0.18848158,0.18380041,0.21013005,0.25926462,0.31236508,0.3547914,0.3846383,0.40827796,0.4292691,0.44215056,0.4399527,0.423206,0.40264702,0.39117715,0.39500228,0.41134736,0.43172684,0.44833955,0.45585063,0.45184672,0.43512297,0.4079138,0.37768587,0.35523546,0.3471565,0.34997782,0.35467756,0.35676578,0.36088285,0.37180105,0.38482925,0.38755596,0.37376377,0.35013983,0.32942787,0.31677094,0.30844614,0.30009517,0.29530907,0.30215278,0.32553184,0.36209297,0.4019444,0.432191,0.4402577,0.41935122,0.3735259,0.31986555,0.2810217,0.2744811,0.3019061,0.34906808,0.39320382,0.41731882,0.41676614,0.39805582,0.36997354,0.33946785,0.3125211,0.29534063,0.2928302,0.3043175,0.32410526,0.34502682,0.36194754,0.3726469,0.37342727,0.36072353,0.33293274,0.29940012,0.27747592,0.2832596,0.31559226,0.35350108,0.37108743,0.35634956,0.31894302,0.27654824,0.24148242,0.21496488,0.19593418,0.1854353,0.1840821,0.18649797,0.1824343,0.16791244,0.14981143,0.14327413,0.15645476,0.18504407,0.21578425,0.24090345,0.26362133,0.28986296,0.31722984,0.33382365,0.33477393,0.3288852,0.3332701,0.3532859,0.3796966,0.39683473,0.39886925,0.3911848,0.38451043,0.38342616,0.38508734,0.38349593,0.37842083,0.3754944,0.37922883,0.3867935,0.39065662,0.3891619,0.38776043,0.39365992,0.40471837,0.41281676,0.40939775,0.39369038,0.36991656,0.3450993,0.32558087,0.31648842,0.32005838,0.33413443,0.35251284,0.36733934,0.37336934,0.3710257,0.3654252,0.36277542,0.36545536,0.37245873,0.38207805,0.39376208,0.40524635,0.40832427,0.39339277,0.35751536,0.31122175,0.2709907,0.24869476,0.2448426,0.25273106,0.26472357,0.2734305,0.27175486,0.25377342,0.22265583,0.19174321,0.17913799,0.19351865,0.22719467,0.26322588,0.29000747,0.31207213,0.33888045,0.3716923,0.3948747,0.3932053,0.3646296,0.32419565,0.28716227,0.2593569,0.23770826,0.22110443,0.21317714,0.21792354,0.23302977,0.25271,0.27377427,0.29879847,0.33070728,0.36620417,0.3965137,0.41316128,0.4166474,0.41376877,0.4125346,0.4119674,0.40677214,0.39369717,0.38030836,0.37818602,0.39337656,0.41878906,0.43844715,0.4379948,0.4117254,0.36526355,0.30982777,0.26104257,0.23362094,0.23812957,0.27246237,0.3215885,0.3668008,0.39712617,0.41403,0.42060038,0.41585514,0.394204,0.3593135,0.325127,0.30930385,0.31682053,0.33862576,0.35969648,0.37072432,0.36951664,0.356964,0.33455154,0.3073649,0.28610954,0.2835981,0.30540064,0.3441211,0.38332757,0.40885523,0.41853356,0.41855943,0.41554856,0.40804198,0.3938543,0.3757747,0.36523172,0.37094077,0.3915753,0.41479942,0.4263749,0.41789076,0.38821933,0.3424113,0.2895307,0.24376488,0.21917935,0.22281136,0.2462791,0.27119985,0.28284505,0.28396133,0.29090926,0.31609872,0.35279104,0.37916264,0.37734178,0.3480737,0.30715406,0.27103224,0.2464519,0.23248625,0.22649555,0.22530472,0.2236799,0.21389048,0.19411367,0.17107715,0.1583408,0.16251822,0.17842788,0.19336529,0.20262419,0.21629728,0.24810816,0.29785773,0.34365857,0.36141264,0.34423164,0.3091774,0.277921,0.26065767,0.25350755,0.24923198,0.2449647,0.23922847,0.22891234,0.21060084,0.1890238,0.17775597,0.18929006,0.22171414,0.2574372,0.2801677,0.2900631,0.30260617,0.32725546,0.354208,0.3619752,0.34040722,0.30139354,0.26809865,0.2569413,0.26941422,0.298929,0.3364781,0.37333956,0.39939687,0.40690312,0.3952323,0.3727052,0.35348395,0.34891316,0.3619072,0.38596413,0.4122586,0.4358786,0.45440674,0.4639894,0.45676744,0.42976144,0.38774133,0.34480432,0.31518593,0.31109813,0.33588812,0.38225996,0.43100297,0.4624454,0.46834898,0.45699593,0.4439,0.44002566,0.444537,0.44865856,0.44291607,0.42790842,0.4132991,0.40962052,0.4122423,0.40323552,0.3661455,0.3045843,0.23922278,0.19043322,0.16333558,0.15086891,0.14605881,0.14950526,0.16397606,0.1878819,0.21365076,0.23734002,0.26250473,0.2971252,0.3414364,0.3851843,0.41583642,0.43058348,0.4375925,0.44399503,0.44697416,0.43619308,0.40904674,0.3759289,0.35362557,0.34851965,0.3530306,0.35296723,0.34033754,0.3143262,0.27768442,0.23232184,0.18540634,0.15009665,0.14276935,0.16784543,0.21388657,0.25912902,0.2914819,0.31636086,0.34818837,0.39104638,0.43154553,0.45206797,0.44710067,0.42788768,0.40982857,0.4003347,0.39609298,0.38999483,0.37938908,0.36883867,0.366999,0.3802162,0.40670094,0.43745884,0.46139833,0.47331014,0.47532287,0.47414112,0.47455096,0.4759737,0.47047892,0.4476402,0.40124583,0.33894277,0.2786391,0.2393083,0.22683425,0.23454511,0.24855728,0.25822866,0.2561598,0.24018478,0.21077746,0.17760305,0.15540431,0.15964025,0.19003554,0.2303781,0.258363,0.2680813,0.27394256,0.2942847,0.32920048,0.35677877,0.35489616,0.31955495,0.26723686,0.21699971,0.17880993,0.15374713,0.1415232,0.14171469,0.1494839,0.15412699,0.14788403,0.13329548,0.12363798,0.12893403,0.1472426,0.16637217,0.1796705,0.19550224,0.22750609,0.27653158,0.320433,0.33374652,0.30754605,0.25956053,0.21534623,0.19342738,0.19820659,0.22586012,0.26667213,0.30605277,0.3296478,0.33231473,0.32260132,0.3165615,0.3238792,0.3409507,0.3542969,0.3565186,0.3541284,0.36251843,0.38792816,0.4190288,0.4370145,0.4340496,0.4211239,0.41611516,0.42835748,0.45199206,0.4733872,0.4797021,0.46384832,0.42602912,0.37517855,0.32877216,0.30473277,0.3117331,0.3422533,0.37921223,0.40707573,0.42268538,0.43380603,0.44960988,0.47051397,0.48759583,0.4928235,0.48764,0.48229083,0.4854926,0.497005,0.509167,0.51332974,0.50547165,0.48622933,0.46076742,0.43644547,0.42125937,0.4196932,0.43106064,0.4498665,0.46882573,0.483112,0.4909979,0.49267027,0.48417607,0.45905504,0.41380265,0.3564357,0.302441,0.2631234,0.2372079,0.21584134,0.19527835,0.1816624,0.1832803,0.20049219,0.22254954,0.23788635,0.24097069,0.23600252,0.22889322,0.22346179,0.22096336,0.22453451,0.24153037,0.27404213,0.31333104,0.33775607,0.33332157,0.30286965,0.2669591,0.24238288,0.23381676,0.23483312,0.23944445,0.24341275,0.24198337,0.22833116,0.20182665,0.17218141,0.15774241,0.16903223,0.20244737,0.24143124,0.2766017,0.31074783,0.35315645,0.40018108,0.43316606,0.43487182,0.4076093,0.3758011,0.36361924,0.37804556,0.4046578,0.42541826,0.43177995,0.42702666,0.41663584,0.40136626,0.38039088,0.3575548,0.3427482,0.343348,0.35669312,0.3730979,0.38557017,0.39599988,0.4061196,0.40996358,0.39387974,0.35296097,0.29795483,0.25042585,0.22446513,0.21967582,0.22551185,0.23311627,0.23795468,0.23813206,0.23051904,0.21615404,0.2014275,0.19790132,0.2108467,0.23588653,0.2611917,0.2809991,0.3006914,0.3282781,0.35971692,0.37467477,0.3557658,0.30487838,0.2456174,0.19989794,0.17465645,0.16181521,0.15533109,0.15502869,0.16148762,0.16733217,0.16253841,0.14615479,0.13106196,0.13419618,0.1614011,0.20290081,0.24461003,0.28127697,0.31820247,0.35688463,0.3861175,0.38822535,0.35815355,0.3102654,0.267248,0.24237733,0.23431416,0.2354018,0.24051958,0.24714346,0.2516186,0.24823488,0.23651059,0.22348349,0.22115545,0.23366882,0.2546954,0.27278304,0.28689143,0.30749762,0.34514388,0.39415637,0.43438813,0.44994578,0.44350103,0.43336114,0.4337244,0.4451114,0.45606193,0.4552883,0.436594,0.40144756,0.3591931,0.32672715,0.31988668,0.34202424,0.37815103,0.40552482,0.4091834,0.39255133,0.3718344,0.3622099,0.36565307,0.37056303,0.36457983,0.34752557,0.33262396,0.3338858,0.3535237,0.38216653,0.40742436,0.42277166,0.42748347,0.42471477,0.41812086,0.41208947,0.4098526,0.41316083,0.42027617,0.427827,0.43284222,0.43629912,0.44175935,0.4504398,0.45713186,0.45244673,0.43175998,0.4005011,0.37064207,0.3508475,0.33980715,0.3308631,0.31938234,0.3069134,0.29587322,0.28630635,0.2792785,0.28201464,0.30437648,0.34749356,0.39846897,0.4398974,0.46316925,0.47310314,0.47631145,0.47171375,0.45042658,0.4092969,0.35794294,0.31321666,0.28524053,0.2710885,0.26252815,0.2548075,0.2486686,0.24236245,0.22967435,0.20549028,0.17625618,0.15973216,0.172127,0.2127028,0.26178017,0.29842296,0.31822708,0.33461702,0.3591021,0.38820872,0.40949142,0.41907,0.42450467,0.43252328,0.44005704,0.43984815,0.43166587,0.42199454,0.41676083,0.41504312,0.41261843,0.40695918,0.39985737,0.39428672,0.39152065,0.39028177,0.39043006,0.39422986,0.40588626,0.4244815,0.442884,0.44941887,0.43941605,0.4170815,0.392802,0.3713516,0.35165247,0.33050382,0.3093467,0.2902739,0.2714187,0.24603705,0.21226978,0.17947094,0.16652966,0.18437542,0.22609591,0.26805624,0.29339838,0.30435917,0.3181176,0.3421075,0.3627331,0.35769668,0.3195308,0.26486418,0.21865459,0.19462878,0.18849264,0.18965383,0.19316655,0.20042259,0.21114133,0.21784061,0.213084,0.19706082,0.1798112,0.1706261,0.17114393,0.17792924,0.19205876,0.22228451,0.271701,0.3275877,0.3629956,0.3610967,0.32704902,0.2850384,0.2562646,0.24997067,0.26410997,0.2919002,0.32290256,0.3451439,0.35157487,0.3464264,0.34260854,0.3522837,0.37743187,0.40957114,0.43703738,0.45335042,0.46072343,0.46358824,0.46260026,0.45147717,0.42633522,0.39167273,0.3617972,0.34880733,0.35499677,0.37133107,0.38754737,0.39859334,0.40474746,0.4060465,0.4001596,0.38793525,0.37632653,0.37634453,0.3924512,0.4197537,0.44788268,0.4705927,0.48757973,0.4990226,0.5000922,0.4828271,0.4467993,0.4034517,0.3713391,0.3608139,0.36911997,0.38404015,0.3956276,0.39908075,0.39446473,0.38398442,0.37327585,0.36940908,0.37665093,0.39067152,0.39998412,0.39472267,0.37681162,0.3612831,0.36291346,0.3838726,0.40963152,0.42355177,0.41616175,0.38970748,0.34930637,0.30178133,0.25468105,0.21942757,0.20505072,0.21329515,0.2345825,0.2556294,0.2672466,0.26994523,0.26906338,0.2687181,0.26973245,0.27360764,0.28639606,0.31323707,0.3495402,0.3774427,0.37918556,0.35389104,0.31980178,0.29959634,0.302417,0.3250997,0.35733607,0.38826433,0.40122187,0.38230464,0.33141527,0.27276078,0.24039286,0.25502586,0.3079001,0.36954296,0.41342828,0.4323028,0.43750647,0.4410019,0.4453405,0.4428248,0.42977917,0.41025314,0.3942636,0.3866816,0.38705996,0.39243475,0.4025036,0.4168775,0.4324617,0.44331098,0.44536158,0.4390509,0.42753425,0.4125035,0.39274666,0.36858073,0.34586954,0.33678934,0.3489821,0.37714508,0.39962897,0.39593628,0.36092654,0.31079888,0.26611254,0.23846988,0.22640496,0.22429079,0.2276289,0.23251468,0.23521335,0.23524885,0.23930383,0.25706276,0.29217657,0.33657184,0.3746268,0.39562383,0.4011005,0.40273032,0.40824556,0.41329983,0.4043889,0.37593487,0.33813503,0.31069615,0.30420431,0.3131803,0.32349133,0.32504323,0.31492904,0.292453,0.25678542,0.21182783,0.16922699,0.14458282,0.14542037,0.16688675,0.19629316,0.226264,0.25971773,0.30104247,0.3448297,0.37433156,0.37961054,0.36788657,0.35935232,0.36639118,0.38477147,0.4012457,0.40719697,0.40426648,0.39860627,0.3951869,0.39570597,0.40007666,0.40701064,0.41243324,0.41033372,0.39688656,0.37685207,0.36359313,0.37037054,0.39882436,0.43600324,0.46496463,0.47716597,0.47636577,0.46927658,0.45746338,0.43728396,0.40846062,0.379294,0.36163077,0.3614874,0.37337193,0.38740313,0.39815453,0.40853664,0.42275727,0.43959948,0.45341754,0.46053866,0.4627283,0.46124244,0.45220795,0.42949972,0.3960956,0.36770782,0.36328992,0.38963678,0.4357871,0.4824647,0.51498157,0.53016204,0.5326213,0.52971333,0.52660435,0.52566934,0.5259344,0.52555734,0.52384734,0.5219654,0.5216882,0.5230033,0.5250072,0.52670306,0.52879214,0.5323077,0.5371012,0.54092294,0.5410993,0.5364825,0.5286987,0.5199089,0.51267785,0.50769234,0.5056772,0.5054212,0.5060248,0.506206,0.50553733,0.503758,0.5010655,0.49905267,0.49966478,0.5035108,0.50841516,0.51102346,0.5094145,0.5036849,0.49499226,0.4840624,0.4716225,0.45884597,0.44821808,0.4423705,0.4425497,0.44648173,0.44934583,0.4478787,0.44359124,0.4421164,0.44662082,0.45505843,0.46174967,0.46392325,0.46242264,0.45709538,0.44297382,0.4123999,0.3641305,0.3056918,0.25124344,0.21223855,0.19542415,0.20158891,0.22829372,0.2682514,0.31097844,0.3448619,0.36268982,0.36291242,0.34888542,0.32341877,0.28892902,0.24971838,0.21887332,0.2136489,0.2451417,0.30474135,0.36765835,0.407388,0.413056,0.39169788,0.3599379,0.33195326,0.31504264,0.310088,0.3151453,0.32558846,0.3341953,0.33193922,0.31565544,0.29373857,0.28427827,0.2997917,0.33528724,0.37140158,0.39221895,0.39810964,0.39912188,0.40112543,0.39853263,0.385712,0.36559722,0.35005975,0.3467461,0.35409832,0.36464652,0.37493446,0.38446024,0.38994417,0.3799204,0.3446848,0.2866209,0.22360735,0.17482962,0.14821824,0.13964748,0.14543061,0.17111598,0.22195435,0.2892168,0.3458035,0.3692594,0.3605546,0.34518862,0.34754106,0.3712741,0.40139195,0.4197329,0.41896763,0.40092745,0.3734307,0.34502235,0.3250819,0.32091084,0.3334165,0.35386893,0.36654922,0.36161515,0.34475562,0.33584204,0.35050914,0.3857211,0.42152014,0.43978485,0.43798706,0.42613137,0.41163817,0.3927146,0.3651885,0.33599165,0.3206252,0.33102843,0.36102843,0.3928589,0.4080799,0.39935848,0.36769095,0.3220701,0.27706352,0.25148413,0.25837702,0.2956441,0.34450457,0.38145277,0.3940303,0.3867241,0.3717519,0.35742238,0.3442175,0.33280316,0.327094,0.33286157,0.34934106,0.36948693,0.3841972,0.39008665,0.39006832,0.38774768,0.38168442,0.36753452,0.34754494,0.33483467,0.34283778,0.36938903,0.3924791,0.38875175,0.35322598,0.30278635,0.2572219,0.22406416,0.19977063,0.18442126,0.18689962,0.21363193,0.2546444,0.28489113,0.28614494,0.26350465,0.24190885,0.24140185,0.2614949,0.28795135,0.31194916,0.33894846,0.37380788,0.4088435,0.42448774,0.41438863,0.39209738,0.38220915,0.39292583,0.41351905,0.42626473,0.425782,0.41812754,0.4117385,0.40703443,0.40014693,0.38906124,0.38003585,0.3811092,0.39462435,0.4123621,0.42464638,0.42993006,0.43575737,0.44784442,0.46061873,0.46267298,0.44719842,0.419834,0.39068595,0.36762965,0.351707,0.34288085,0.3427663,0.3536917,0.37318036,0.39253473,0.4026493,0.40205708,0.39653942,0.39306423,0.39193115,0.39246094,0.39617255,0.40917552,0.42935446,0.4446377,0.4378823,0.40535268,0.35966036,0.32207695,0.30449465,0.3058249,0.3158163,0.32547244,0.32625577,0.3121831,0.2789369,0.23461805,0.19662948,0.18627214,0.20802939,0.24808426,0.28258815,0.3022139,0.3166989,0.3413765,0.3747747,0.39614078,0.386856,0.34879923,0.30332315,0.26962498,0.252347,0.2459157,0.24784128,0.26275423,0.29447827,0.3389324,0.38517818,0.42413047,0.4529238,0.47513434,0.49538112,0.5179413,0.54345495,0.5703647,0.59405476,0.6088121,0.6080181,0.586387,0.5462131,0.4988308,0.46105492,0.4403521,0.43145177,0.4209745,0.40285075,0.37923527,0.35658124,0.33713028,0.32507744,0.32774475,0.35554847,0.40857032,0.4753655,0.53719646,0.5808988,0.6023,0.60124844,0.57795095,0.5326259,0.47377685,0.41618228,0.3752139,0.35553232,0.35088384,0.351549,0.35376325,0.36024642,0.37282982,0.3855361,0.38876963,0.37847614,0.362743,0.35504803,0.36404634,0.38798273,0.41880366,0.45037314,0.47838905,0.49837932,0.50087476,0.48065364,0.44099656,0.39614305,0.35877812,0.33466792,0.32208845,0.31838712,0.32097504,0.32443726,0.32052335,0.30345672,0.2776499,0.25716045,0.25576293,0.27544507,0.30420017,0.3288376,0.34730068,0.36918244,0.3992122,0.42611054,0.4295597,0.4010197,0.35402307,0.31245342,0.2910079,0.28714547,0.29106715,0.2985473,0.31171814,0.33101872,0.34678444,0.34761116,0.3296428,0.30379644,0.28354773,0.2753277,0.2757976,0.2830539,0.3035408,0.34170842,0.38843015,0.41739354,0.41034624,0.37066618,0.32402757,0.2919452,0.28036702,0.2817001,0.28854012,0.297307,0.30457452,0.30465558,0.29460886,0.27881742,0.2692581,0.2748543,0.29613456,0.32287475,0.34715104,0.3684208,0.39291778,0.41868034,0.4317057,0.41603473,0.37193334,0.31958413,0.283128,0.27253938,0.28021276,0.29418457,0.31033286,0.33065546,0.3543538,0.3717853,0.3743582,0.36269382,0.34941587,0.3454032,0.3518527,0.36104992,0.36916366,0.38095453,0.4029406,0.43152007,0.45225516,0.4515009,0.4280314,0.3929837,0.36049056,0.33883604,0.32988533,0.33269116,0.3453702,0.36248276,0.37146273,0.3603835,0.32883826,0.29768777,0.29359236,0.32962558,0.39125338,0.45150962,0.49150562,0.50886256,0.5091794,0.49359807,0.46388757,0.42735842,0.3997157,0.39052388,0.39738584,0.40698025,0.40926325,0.40220022,0.3892226,0.36926284,0.33782724,0.29608217,0.25960436,0.24963833,0.27579606,0.32546636,0.37674022,0.41559216,0.44454965,0.46991608,0.49190083,0.503213,0.5010162,0.49156728,0.48635578,0.49219576,0.507057,0.52345544,0.5331919,0.53088427,0.5133317,0.48088598,0.43935135,0.4009048,0.3791215,0.3799051,0.39644858,0.4146441,0.42462614,0.42835236,0.43234837,0.4377435,0.43532822,0.41873547,0.39188662,0.36798668,0.35323402,0.3441366,0.3345975,0.3285049,0.33716652,0.36798358,0.4153901,0.46206686,0.48976877,0.48655012,0.45285085,0.3975246,0.3380169,0.2930433,0.28067076,0.30653045,0.36117372,0.4200562,0.46025434,0.47197166,0.4611864,0.43821108,0.4091791,0.37765005,0.34951854,0.33427742,0.3372853,0.35623297,0.38097787,0.40223065,0.41425815,0.41629457,0.40655044,0.38368073,0.35051236,0.32043013,0.31206882,0.33359042,0.37149084,0.39662158,0.38919652,0.35297093,0.30905852,0.27413556,0.25049543,0.23459764,0.22830658,0.23789334,0.26104876,0.2811763,0.2801833,0.25595546,0.22833091,0.2200345,0.23792386,0.26851845,0.29710507,0.32306853,0.3550527,0.39322838,0.421103,0.42453048,0.40930128,0.39926693,0.41071448,0.4369785,0.4585648,0.46288338,0.45408043,0.44226238,0.43330917,0.4248245,0.41393802,0.4035031,0.40137485,0.41242257,0.43120065,0.44600043,0.4499043,0.44706443,0.44722033,0.45263147,0.45668158,0.4499799,0.43096796,0.4048343,0.37830886,0.35594723,0.34062746,0.33727643,0.34908304,0.37477103,0.40330184,0.42153016,0.42180327,0.40935144,0.3956438,0.38917342,0.39131805,0.4004105,0.4175978,0.4414082,0.46349773,0.4673235,0.44416127,0.40036225,0.35694373,0.33101192,0.32707438,0.33611822,0.34628358,0.34774432,0.33427605,0.30319124,0.2591478,0.21660912,0.19523434,0.20614494,0.242649,0.28342262,0.31227303,0.33052793,0.35224143,0.38351464,0.41207436,0.41918132,0.39834034,0.36264428,0.32991537,0.30894208,0.29624817,0.28750682,0.2855369,0.29564118,0.31750676,0.34030378,0.3564063,0.36721888,0.3852168,0.415867,0.45314744,0.4818121,0.4934332,0.49244142,0.48848835,0.48563254,0.4764569,0.45713398,0.43516073,0.4293227,0.44950625,0.48713246,0.5188882,0.52395874,0.4949501,0.43845358,0.36796346,0.30075252,0.25533706,0.24823804,0.28303632,0.34565043,0.41048944,0.4578768,0.4841638,0.49564946,0.49553367,0.47906253,0.44555017,0.40645993,0.3810619,0.3790609,0.3946841,0.41499543,0.4326009,0.4472685,0.45803952,0.45868096,0.44279513,0.41395426,0.3886261,0.38675895,0.41632155,0.46628842,0.51430345,0.5435694,0.55157655,0.54519624,0.5286111,0.5002963,0.4619572,0.4245467,0.40318474,0.4032686,0.41776893,0.4333085,0.4396021,0.42949542,0.3993543,0.3502822,0.2942666,0.24958475,0.23237741,0.24255042,0.26587662,0.284898,0.29687825,0.31487027,0.3512753,0.39970052,0.4334046,0.43007085,0.38946354,0.33473578,0.2885491,0.26016,0.2463705,0.2451723,0.25786617,0.28130546,0.30088544,0.29882553,0.27014297,0.23030502,0.2025799,0.19913399,0.21352692,0.23379052,0.25808868,0.29421544,0.34382048,0.3907746,0.41283885,0.4016428,0.37111494,0.34291673,0.32872123,0.32656932,0.32925928,0.3333771,0.33678117,0.3362967,0.3263198,0.30725577,0.28775737,0.2820227,0.29705426,0.3267052,0.35709158,0.38043952,0.40097415,0.4244771,0.4454491,0.44747996,0.42132065,0.3770791,0.33797583,0.3193154,0.31839013,0.32217053,0.3237541,0.32633567,0.33556816,0.34921277,0.36016104,0.364872,0.36953184,0.3830754,0.40726104,0.43373176,0.4520049,0.461063,0.4673067,0.4762589,0.48049605,0.46998033,0.4420601,0.41206264,0.39693055,0.40354753,0.42058364,0.43267563,0.4297169,0.4112544,0.38110742,0.34663785,0.32202697,0.32373047,0.35945156,0.41504505,0.46474317,0.48913166,0.4919654,0.48948026,0.49280182,0.4962697,0.487195,0.46150514,0.42858365,0.40261903,0.38958898,0.38673785,0.3891245,0.39695072,0.41187513,0.4315547,0.44738224,0.45170817,0.44298935,0.42587647,0.40364373,0.37572548,0.34232637,0.31294832,0.3057492,0.3312261,0.37807357,0.41360608,0.4112124,0.36943194,0.31298086,0.26740906,0.24345358,0.23668452,0.23974289,0.24696545,0.2517605,0.24579357,0.22660774,0.20517276,0.20183194,0.22984727,0.28241372,0.3370702,0.37584284,0.3993431,0.42010835,0.44090125,0.44611415,0.41775134,0.3611273,0.30735907,0.28933308,0.31408885,0.36140704,0.40421578,0.4287881,0.43662226,0.4337896,0.42342195,0.40685472,0.3897778,0.3800653,0.38205776,0.3898356,0.39548996,0.39656726,0.40104973,0.41192898,0.42120326,0.4105638,0.37459219,0.32465816,0.28303698,0.25992486,0.2522091,0.25092185,0.25385246,0.26087534,0.26669872,0.25901443,0.23231633,0.19702893,0.17689477,0.18679969,0.22074468,0.25625578,0.2800552,0.2992812,0.32984754,0.37168506,0.4015256,0.39543998,0.3509327,0.29105383,0.23978247,0.20628248,0.18470176,0.17124154,0.16929857,0.18111038,0.19739066,0.20108174,0.18496774,0.15929125,0.14384025,0.1479459,0.16530503,0.18505293,0.20737757,0.24258097,0.293265,0.34443608,0.37344313,0.37495542,0.3651092,0.3661468,0.38312516,0.40541506,0.4202156,0.42484355,0.42153665,0.4097177,0.38501707,0.348012,0.3098706,0.28842655,0.2944285,0.32227123,0.35421634,0.37746915,0.3949792,0.41742626,0.44678125,0.46969244,0.47265863,0.4545386,0.4285058,0.40648672,0.39269686,0.38452888,0.38085714,0.38248643,0.38796806,0.39129433,0.38546535,0.37088045,0.35631898,0.3530378,0.3638065,0.38210884,0.39970168,0.4160733,0.43577376,0.45925984,0.47757807,0.48036066,0.46575204,0.44188467,0.41827205,0.39837018,0.38159347,0.36718318,0.35600507,0.34399483,0.32292843,0.28527647,0.2373864,0.19877099,0.19169162,0.2211772,0.27121308,0.31781974,0.3501841,0.37531674,0.40086016,0.42082438,0.41883442,0.39411208,0.36521295,0.3573953,0.37273562,0.39456436,0.4027616,0.396206,0.38572785,0.3827424,0.38742197,0.39457357,0.39941618,0.40246776,0.40514025,0.4072549,0.40781185,0.40903148,0.41799998,0.43870783,0.46605933,0.48472872,0.4829129,0.46242866,0.4389809,0.4284387,0.4344128,0.44769013,0.45541736,0.45062152,0.43358442,0.4071997,0.37505448,0.34307742,0.32274687,0.32412362,0.34733343,0.3785325,0.4031205,0.4183049,0.43396696,0.4561048,0.4752361,0.47247973,0.43719646,0.3772482,0.31212106,0.26046136,0.23225415,0.22980754,0.24932629,0.28055736,0.3087242,0.32081065,0.31629607,0.30774823,0.31371796,0.34206593,0.38581952,0.427802,0.4572709,0.475032,0.48769772,0.49525908,0.48888004,0.4635197,0.42556676,0.39043653,0.36646178,0.3516418,0.33918095,0.32762972,0.3177805,0.3059295,0.2825552,0.2438005,0.20027536,0.17470683,0.18315625,0.22212477,0.26994148,0.3084313,0.33687484,0.36695752,0.40177503,0.42770207,0.4296172,0.41047332,0.3898157,0.38372925,0.3892124,0.3927826,0.3851267,0.3694661,0.35263717,0.33855316,0.32660463,0.31723657,0.31390142,0.31964946,0.3321923,0.34300387,0.34637317,0.34627923,0.35604897,0.3814049,0.4127127,0.42822674,0.41703483,0.3856229,0.35274473,0.33011982,0.31916246,0.3156212,0.31814063,0.3258499,0.33460295,0.33690298,0.33111373,0.32658133,0.3380648,0.37112236,0.41344842,0.44546035,0.45643345,0.45527366,0.45581487,0.4620261,0.45825586,0.42899168,0.3747084,0.31978026,0.2895299,0.292765,0.31619433,0.34309116,0.36402515,0.37800786,0.38289455,0.37789333,0.367604,0.36417317,0.37605512,0.40119195,0.4283941,0.44911742,0.46345496,0.4773414,0.4926006,0.502942,0.4979502,0.47328317,0.43449536,0.39288273,0.3566444,0.32809117,0.30739793,0.29622218,0.29405764,0.29363564,0.2825005,0.25690272,0.22899105,0.22165413,0.24623702,0.2925205,0.3374448,0.36969963,0.39739025,0.43350294,0.47448707,0.5002964,0.49467954,0.46178743,0.42118815,0.3892765,0.3683448,0.35225043,0.33754852,0.32735506,0.32507324,0.32855606,0.3322226,0.33391032,0.33737448,0.34594202,0.3552651,0.35557976,0.34417376,0.33404258,0.34423408,0.37846658,0.41505396,0.42475486,0.39701223,0.34928432,0.3074583,0.28530273,0.279292,0.28099325,0.28523186,0.28758934,0.28071365,0.25769904,0.22444434,0.19997449,0.20482473,0.24205136,0.29687634,0.35267982,0.4056263,0.45875883,0.50320596,0.5165829,0.48302963,0.4164491,0.35420406,0.32891157,0.34398675,0.3778201,0.40654567,0.42161706,0.4287176,0.4350851,0.44106725,0.44197848,0.4352634,0.42404816,0.41454294,0.41059652,0.41281447,0.42013022,0.43318483,0.4497974,0.46347675,0.46286562,0.44364312,0.4126724,0.38660336,0.3777589,0.3872588,0.40669438,0.42650545,0.44090745,0.4460273,0.43867216,0.4181321,0.39117777,0.37090364,0.3684425,0.384393,0.40909865,0.43353787,0.45573512,0.47928104,0.50180507,0.513961,0.50458354,0.47316766,0.42954576,0.38767675,0.355436,0.33431104,0.32342538,0.32283184,0.3294057,0.3338358,0.32403255,0.29813364,0.2691382,0.25734332,0.2718496,0.30448398,0.3401769,0.37183392,0.4035139,0.43559995,0.45757058,0.45128322,0.41215977,0.35365152,0.3005252,0.26774505,0.2560799,0.25726303,0.26572347,0.27809012,0.28960645,0.29118642,0.2786992,0.2579905,0.2458272,0.2530408,0.27724364,0.30252624,0.32044044,0.3368636,0.3641006,0.3998584,0.42508066,0.42536163,0.40777537,0.39504895,0.399478,0.41311932,0.41979566,0.41295516,0.39919305,0.38673016,0.3787214,0.37399018,0.37426472,0.38260308,0.39881146,0.4155499,0.42500147,0.42629996,0.4273713,0.43681455,0.45364416,0.46644184,0.46178448,0.43906412,0.41145834,0.39562675,0.3952012,0.40015098,0.39787698,0.38489345,0.36369976,0.33484557,0.29393607,0.24393524,0.20063652,0.18867046,0.21837771,0.27752617,0.33742782,0.37973678,0.406284,0.4278767,0.44438872,0.44126403,0.41370395,0.37558532,0.35381702,0.35749415,0.37703657,0.3942227,0.40373537,0.41043139,0.4199334,0.43034753,0.4350669,0.43000424,0.41638672,0.39921537,0.3826916,0.36855832,0.35954532,0.36170205,0.38186732,0.41734633,0.4538901,0.4738237,0.47158098,0.4552205,0.43800983,0.4261115,0.41976535,0.4170362,0.41811895,0.4209976,0.42129168,0.41349426,0.3977009,0.3802983,0.3714528,0.3766323,0.39350533,0.41416427,0.4339209,0.45373753,0.47492632,0.49183154,0.4934365,0.47517824,0.4441874,0.41514897,0.39641953,0.38714954,0.38134393,0.3765951,0.37377998,0.37358198,0.37411657,0.37389442,0.37393782,0.37675655,0.3830358,0.39190993,0.4028102,0.4174107,0.43768728,0.46213546,0.48413503,0.49413452,0.4888223,0.4745573,0.46476063,0.46606013,0.47417805,0.4783754,0.47518793,0.47028705,0.4712068,0.4772992,0.4807754,0.47661683,0.46842816,0.46439564,0.46682668,0.46977523,0.46709016,0.46088228,0.46050227,0.47113553,0.4879067,0.49990073,0.5020466,0.49879956,0.49773407,0.50037545,0.5012729,0.4966735,0.48958328,0.48683617,0.48984766,0.493268,0.49185333,0.4874166,0.48688927,0.49290225,0.5003448,0.5009296,0.49336016,0.48411286,0.4806212,0.4825084,0.48248267,0.4761512,0.46784338,0.4671843,0.47695526,0.48964122,0.49437058,0.48857176,0.47990453,0.47691205,0.48000932,0.48215303,0.47856215,0.4726595,0.470034,0.4701706,0.46432033,0.44826493,0.42860588,0.41862822,0.42201933,0.42735,0.41747153,0.3837203,0.3323822,0.27912655,0.24224468,0.23553224,0.2638466,0.31927988,0.38436726,0.43782827,0.46455535,0.45863733,0.42611572,0.37716904,0.32262185,0.27026525,0.23167624,0.2236427,0.26055863,0.34002057,0.4363973,0.51432735,0.5482119,0.5353147,0.49023497,0.43342075,0.3815637,0.34565243,0.33189413,0.33961037,0.35913667,0.37235937,0.3668344,0.3483297,0.34321114,0.37464094,0.44118452,0.5116283,0.5508599,0.54216516,0.49613595,0.434772,0.37905502,0.34095642,0.3283271,0.34457448,0.38755038,0.44390044,0.4929762,0.5143178,0.49834666,0.44831002,0.37755975,0.30243942,0.236434,0.18646823,0.15227814,0.1295846,0.11548931,0.11455068,0.14008598,0.20429055,0.30205324,0.40533102,0.4778137,0.5033877,0.49315217,0.47496402,0.46524957,0.46466556,0.46056303,0.4434738,0.411243,0.37096176,0.33465335,0.31488135,0.3220495,0.35896373,0.41672447,0.47442484,0.5092931,0.5122224,0.49205008,0.46795622,0.45277166,0.44885787,0.45215926,0.4624443,0.4816674,0.5079143,0.52780515,0.5266754,0.5007996,0.46658644,0.44640848,0.45151386,0.47163877,0.48299098,0.46513602,0.41259432,0.33925188,0.2696711,0.2310117,0.24131377,0.30260977,0.39550248,0.48571572,0.54059786,0.5456198,0.507961,0.4474808,0.3847815,0.33630514,0.31157598,0.31459126,0.3407971,0.3802043,0.41908956,0.44932762,0.4711264,0.49018192,0.50752044,0.51348776,0.49606362,0.45051813,0.38656273,0.31899843,0.26063684,0.22004189,0.20632112,0.23108155,0.2943364,0.37858996,0.4469322,0.47250655,0.44857192,0.39535615,0.3337665,0.27852213,0.23135835,0.19215642,0.15970188,0.13365898,0.11373457,0.104269356,0.11608628,0.16441226,0.25071332,0.3561778,0.44180456,0.4825158,0.47756222,0.45387575,0.43342373,0.42504707,0.4222016,0.42101446,0.42244816,0.43048894,0.44213805,0.4514556,0.45400086,0.4568889,0.4676608,0.48773745,0.50208116,0.49616346,0.46586332,0.4271396,0.39986244,0.39537024,0.40942812,0.43183327,0.45655417,0.48099065,0.5013035,0.5081938,0.4973136,0.4732349,0.44923583,0.43357956,0.42570987,0.41841844,0.4087024,0.39950773,0.39668217,0.40122268,0.41123196,0.42552912,0.44652393,0.47221372,0.49095562,0.4857068,0.44860768,0.38817886,0.32335237,0.26917383,0.23139183,0.20864165,0.1993859,0.20145684,0.21109433,0.2220458,0.23252212,0.24870992,0.28234407,0.33536744,0.3932468,0.42920902,0.42740047,0.39155945,0.34271368,0.2988447,0.26953635,0.25757715,0.26895323,0.3077276,0.36710954,0.42325926,0.44956735,0.43496767,0.39301482,0.34917262,0.32284382,0.31818175,0.3299866,0.35171196,0.38105825,0.4157312,0.45365572,0.49042797,0.52445394,0.55471396,0.57982755,0.59408766,0.5899146,0.56423324,0.52290624,0.4791378,0.4444915,0.42255393,0.4087311,0.3967959,0.38386825,0.37054953,0.3583422,0.35010493,0.35277477,0.37572113,0.4223009,0.48128,0.53040385,0.54927504,0.5329492,0.49222362,0.44604382,0.41140816,0.3987547,0.41130173,0.44296125,0.48040137,0.504799,0.50492984,0.48212802,0.451869,0.42933607,0.42003933,0.41767526,0.4137297,0.40723467,0.40549433,0.41694245,0.44210324,0.47302866,0.50033736,0.51866144,0.5258959,0.5179754,0.49163747,0.44880843,0.39903307,0.35150817,0.31102407,0.28065613,0.26871005,0.28687617,0.33496818,0.39292014,0.42594144,0.4134839,0.36218166,0.30302012,0.26262417,0.25040063,0.2607129,0.28863433,0.3334738,0.38866878,0.43495047,0.44718185,0.41593182,0.35520765,0.29425877,0.25444314,0.24161755,0.250638,0.27973247,0.32779142,0.3865949,0.43226728,0.44154444,0.40828037,0.35243607,0.3002186,0.26669806,0.2510763,0.25128695,0.27292576,0.31698224,0.36959553,0.4002956,0.39394116,0.35981774,0.3304064,0.32477686,0.34001136,0.35573396,0.36162612,0.36387098,0.37541685,0.39714703,0.416418,0.42170104,0.41720295,0.4164798,0.42635715,0.4365785,0.43472686,0.42096284,0.41051248,0.41412067,0.42555925,0.4294199,0.41996086,0.40888557,0.4090056,0.41911423,0.42384914,0.41432044,0.3989953,0.39475,0.40707657,0.42318106,0.4286466,0.42329276,0.42113718,0.4313518,0.44669756,0.45382103,0.45039272,0.45058846,0.46699187,0.4952929,0.51555544,0.51139176,0.48372495,0.44754007,0.41866374,0.40393198,0.4024558,0.41057062,0.42385745,0.43505344,0.43257377,0.4090754,0.37036648,0.33901528,0.33721045,0.36947188,0.417382,0.45722735,0.4792895,0.48818612,0.49173954,0.48817876,0.4749775,0.45476773,0.438894,0.4346749,0.44019178,0.44634637,0.44490984,0.43234575,0.40624782,0.36582613,0.31491935,0.2685331,0.24621348,0.26027012,0.30402836,0.3582616,0.405501,0.44193676,0.47299346,0.50164944,0.52178913,0.5239199,0.50624365,0.47799245,0.45387438,0.4435071,0.44871113,0.46477905,0.48571476,0.5039823,0.5114483,0.5008799,0.47312674,0.4403905,0.4222957,0.43157014,0.46331978,0.4979438,0.5171041,0.5179982,0.5086979,0.49734735,0.48202017,0.4612521,0.4378725,0.4211378,0.4135941,0.41147307,0.40880945,0.406546,0.4106209,0.4253364,0.44914618,0.47571054,0.49765253,0.50713724,0.4971712,0.46606302,0.42293954,0.3875595,0.38040364,0.40931633,0.46251926,0.51398844,0.5396932,0.5307944,0.49649313,0.45375827,0.41656455,0.39197627,0.38237178,0.38925853,0.4111716,0.4424304,0.47230995,0.4910998,0.49421033,0.4824376,0.4582541,0.42460525,0.38984442,0.36904165,0.37655327,0.41116312,0.45127156,0.4681956,0.4473165,0.39844275,0.34294364,0.29667175,0.26105994,0.23430085,0.21936314,0.2213574,0.23589121,0.24657005,0.24103986,0.22345823,0.21453892,0.2302932,0.269586,0.31671438,0.35904896,0.3967552,0.43381715,0.46625933,0.47950172,0.46713802,0.43906036,0.41634515,0.4097512,0.41474926,0.41999742,0.42202437,0.4253243,0.43462947,0.4458737,0.45102096,0.44564927,0.43706775,0.43627596,0.44796523,0.46400222,0.4732646,0.47426498,0.47627488,0.4887043,0.5068771,0.51657516,0.50435024,0.47215185,0.43283054,0.4021244,0.38682732,0.38584754,0.39411554,0.40794376,0.4235561,0.43636903,0.44167733,0.44001845,0.43622825,0.43649945,0.44086215,0.44716215,0.45399675,0.46561608,0.48136672,0.49254265,0.48371312,0.45081565,0.40520212,0.36806217,0.3509179,0.3521537,0.36092448,0.3694432,0.37067768,0.35865903,0.32679197,0.2811237,0.24014284,0.22871752,0.2544325,0.30310503,0.3476986,0.37527084,0.39330187,0.41799292,0.4512645,0.47761044,0.47979602,0.45606467,0.41990376,0.38675094,0.36279532,0.34744945,0.3388315,0.33789805,0.34374705,0.3532411,0.36269727,0.37394133,0.39225855,0.42113277,0.45554113,0.48515496,0.50175494,0.50645906,0.50631994,0.5051332,0.49768484,0.47630438,0.44358084,0.41466883,0.40630066,0.42076126,0.44537234,0.4619991,0.46079937,0.43959096,0.40159154,0.35135356,0.30220196,0.274495,0.28743306,0.34112886,0.4145918,0.47962353,0.5209193,0.54018086,0.5429001,0.5277627,0.4907228,0.44033682,0.39838436,0.38553986,0.40316224,0.43512702,0.46203533,0.47410798,0.46986377,0.4507198,0.41925168,0.38357267,0.35727587,0.35361025,0.37642285,0.41716385,0.46119413,0.49666247,0.521692,0.53780323,0.5450979,0.53634244,0.5093425,0.47088304,0.43897173,0.42623198,0.43384075,0.45037428,0.46373594,0.46556798,0.45218357,0.42174003,0.3774369,0.33155525,0.303099,0.3053664,0.33355686,0.3674337,0.38951412,0.40067515,0.41483304,0.4387298,0.45961764,0.4575336,0.42476782,0.37496457,0.3265395,0.2892027,0.25864464,0.23281819,0.21663813,0.21675737,0.22749113,0.23147802,0.2184238,0.19583672,0.185643,0.19866987,0.2270029,0.2518038,0.26771954,0.28817716,0.32782683,0.3821858,0.42388037,0.4314803,0.40502182,0.36990002,0.3481872,0.34874275,0.36339304,0.38286027,0.40060118,0.41433802,0.42118278,0.4197367,0.41181922,0.4055096,0.4073799,0.41815603,0.42859057,0.43227574,0.43181396,0.43783498,0.4528226,0.46434656,0.45632806,0.4258875,0.38984767,0.36823854,0.37010267,0.38699666,0.4060645,0.4201766,0.43228602,0.44759092,0.46458635,0.4754602,0.4716861,0.45419905,0.43041423,0.41040775,0.39966694,0.40222177,0.4203473,0.45039943,0.47851762,0.48505577,0.46200255,0.41868332,0.3774834,0.35373572,0.35134172,0.36248562,0.37861502,0.38859132,0.38232732,0.35125127,0.30122095,0.25251436,0.23289305,0.25422117,0.30437255,0.35514423,0.38790646,0.40519014,0.4207519,0.43994382,0.45158458,0.44332317,0.41413966,0.37790123,0.34735188,0.32732892,0.3159034,0.31482425,0.32921457,0.3567514,0.38064837,0.37740925,0.34009457,0.2867251,0.2483377,0.2413861,0.2590765,0.28481868,0.31237873,0.34782183,0.39302814,0.43609402,0.45819888,0.45299459,0.42919025,0.4021767,0.37912855,0.3612597,0.34823167,0.34266543,0.3428394,0.34134743,0.32873333,0.30571273,0.28408217,0.28018078,0.30007985,0.33631313,0.37387916,0.40342012,0.42624965,0.44593605,0.45952228,0.4549862,0.42752376,0.38530782,0.3482292,0.32818905,0.32472864,0.32899415,0.337921,0.35517868,0.3827804,0.41309062,0.4321804,0.43308857,0.42040077,0.40602446,0.39672747,0.393819,0.3963971,0.40841845,0.43204582,0.4617131,0.48036805,0.4729629,0.43826672,0.39295426,0.3580385,0.3453518,0.3523388,0.36763254,0.37901506,0.3761772,0.35356328,0.31171992,0.2638054,0.2318576,0.23615682,0.27721334,0.33384657,0.3795323,0.40459397,0.4198129,0.4376574,0.45458472,0.45339894,0.4231331,0.37111628,0.31582665,0.27098122,0.23925923,0.22127824,0.22364324,0.25311068,0.30167103,0.34209505,0.34825203,0.31826544,0.27957916,0.26324603,0.27921358,0.31322703,0.34776238,0.37915185,0.41096786,0.43937826,0.44729757,0.4251807,0.3835697,0.35056672,0.34541216,0.36576214,0.3924414,0.40802118,0.406454,0.38962916,0.36060333,0.32324833,0.2872573,0.26911142,0.28157058,0.32324693,0.37635827,0.42133215,0.45004678,0.46741822,0.4778613,0.47486508,0.44728568,0.39561543,0.33936396,0.30510977,0.30615982,0.33561945,0.3746535,0.409694,0.43552992,0.45261344,0.4579637,0.4502034,0.43142894,0.41007888,0.39221835,0.37970242,0.37192312,0.37259248,0.38909176,0.4222335,0.45942608,0.47759262,0.46387267,0.42516336,0.3851204,0.36236075,0.36130884,0.37359926,0.38899764,0.39890006,0.39512253,0.37127885,0.32842162,0.2819611,0.2562492,0.27027294,0.32131112,0.38605854,0.43822607,0.46854565,0.48604953,0.50138205,0.51211476,0.50662696,0.48031238,0.4438393,0.41488957,0.40325984,0.40517768,0.41030297,0.41327944,0.41620794,0.42301798,0.4306294,0.43218434,0.4228846,0.40695032,0.39096943,0.37970746,0.3730695,0.3731624,0.38569427,0.4134227,0.44727337,0.46639338,0.4570277,0.4245783,0.39272138,0.3803619,0.38943258,0.4065505,0.41870365,0.42158163,0.41614115,0.40339208,0.38195202,0.35649434,0.3377585,0.3392013,0.36280203,0.397518,0.4258522,0.4394581,0.44358012,0.44726273,0.4505539,0.44224095,0.4173378,0.3869035,0.37254477,0.38182762,0.40076315,0.40769902,0.3977032,0.38612354,0.38995826,0.4086124,0.42527223,0.4258287,0.41244057,0.39830124,0.39141643,0.38645443,0.37484702,0.3591384,0.35728562,0.38377503,0.43365014,0.478356,0.49233636,0.47023666,0.43212894,0.39986214,0.38401052,0.38024795,0.38106096,0.38153568,0.38029814,0.3772551,0.37266597,0.36732647,0.36202276,0.35705653,0.35200486,0.34618595,0.33924827,0.33121896,0.32252428,0.31343028,0.30430046,0.2952874,0.28670317,0.2785889,0.27081153,0.26296663,0.2547507,0.24616158,0.23747195,0.22902757,0.22104587,0.2136304,0.20679934,0.20051952,0.1947475,0.18940242,0.1844957,0.1799537,0.17573977,0.17160535,0.167316,0.1625909,0.15738116,0.15187584,0.14648946,0.14165823,0.13756208,0.13406122,0.13081221,0.12756677,0.12426367,0.120981485,0.1177662,0.114616126,0.11146543,0.108279444,0.105078615,0.10200882,0.09924048,0.09682744,0.09460118,0.09229895,0.08981284,0.08729929,0.085102975,0.083387345,0.081989795,0.08037102,0.07808537,0.07506239,0.07176441,0.06877308,0.06644585,0.06473953,0.06346952,0.06246439,0.061630573,0.060800362,0.05969454,0.05784447,0.0544894,0.04878057,0.040346857,0.030045724,0.019811455,0.01166461,0.006527795,0.004006519,0.0030602058,0.0027793571,0.0026880868,0.0026029022,0.0024637633,0.0022426688,0.0019406938,0.0015853517,0.0012259771,0.0009146205,0.0006841312,0.0005389786,0.00046242346,0.0004298111,0.00042062392]