[0.10912809,0.10317504,0.09338701,0.08778558,0.09029183,0.09796543,0.1046935,0.106483646,0.10383779,0.09957088,0.095991515,0.09363858,0.09204856,0.090782024,0.0897639,0.089081086,0.089850545,0.09484261,0.108959205,0.13332383,0.16174209,0.17920692,0.17393313,0.14481856,0.10510296,0.07135642,0.05652113,0.0637182,0.08889536,0.12168517,0.15183355,0.17216732,0.18237764,0.1853212,0.18498753,0.18350518,0.18195136,0.18020296,0.17772938,0.17409115,0.16975354,0.16617733,0.16511297,0.16729961,0.17145471,0.17451,0.17340064,0.1672173,0.15863292,0.15305948,0.15662521,0.17035596,0.18757595,0.19410776,0.1794529,0.14366493,0.09976683,0.06319113,0.044679638,0.046234544,0.06326744,0.08607665,0.102514766,0.10377712,0.089445196,0.069536336,0.058675807,0.06881509,0.10131333,0.14666803,0.18915166,0.21716045,0.22790301,0.22696596,0.22146463,0.21649049,0.21346103,0.21174498,0.20941941,0.20495886,0.1981516,0.19101936,0.18649699,0.18630232,0.1869995,0.18083608,0.15987943,0.12453657,0.083664834,0.050742757,0.035483677,0.043740463,0.07569996,0.12629704,0.18201023,0.22754483,0.25248477,0.25759092,0.24998052,0.23764722,0.22490883,0.21319418,0.20233971,0.1917878,0.18112892,0.17014259,0.15865766,0.14592747,0.13109608,0.1137118,0.09487926,0.07663904,0.06123471,0.05089988,0.048919875,0.06047533,0.08787724,0.12643617,0.16202433,0.18091528,0.17757066,0.15904893,0.13627256,0.116861105,0.101467706,0.08773521,0.0737867,0.059853885,0.04718624,0.03762463,0.033275325,0.037169784,0.0511553,0.07396083,0.099213265,0.11881628,0.12718804,0.124757074,0.11601371,0.106025755,0.09766529,0.09164456,0.08762907,0.08511546,0.08366415,0.08329208,0.08525852,0.09243908,0.10723678,0.12760846,0.14600432,0.15319276,0.14590675,0.12815464,0.10860204,0.09381429,0.0882215,0.09277964,0.10650766,0.124266766,0.1404222,0.15065591,0.15480031,0.15446974,0.15183696,0.14842534,0.1453499,0.14332245,0.14233227,0.14202447,0.14169262,0.14082782,0.1389358,0.13594544,0.13205568,0.12790728,0.124163,0.12123736,0.12022275,0.12366413,0.13600059,0.15762354,0.18144965,0.1922505,0.17922062,0.14346066,0.099909574,0.065234326,0.05026329,0.056110937,0.07711864,0.102345884,0.1194149,0.11962729,0.10398749,0.083127104,0.07265321,0.08269521,0.11287954,0.15096991,0.1831613,0.20071256,0.2050152,0.20145196,0.1956829,0.19009383,0.18538411,0.18098843,0.17590691,0.16935588,0.16163142,0.15530351,0.1540417,0.16072643,0.17200565,0.17911024,0.1710279,0.14524135,0.10803834,0.072748676,0.050078865,0.047704384,0.067172594,0.10471431,0.14874177,0.18579733,0.2066667,0.21147494,0.20604402,0.19674869,0.18697721,0.17771469,0.16913162,0.16132666,0.15434821,0.14787543,0.14133488,0.13423689,0.12663011,0.11906791,0.112291336,0.10662592,0.10197192,0.09910971,0.10124325,0.114172556,0.13993092,0.17143877,0.19206025,0.18918175,0.16498345,0.13734524,0.124674626,0.13280287,0.15216376,0.1669562,0.16690111,0.15369903,0.13885655,0.13441046,0.14455797,0.16490114,0.1880418,0.20914996,0.22595514,0.2369352,0.2403758,0.23604207,0.22599082,0.21427868,0.20538765,0.2026764,0.2064693,0.21438031,0.2227459,0.2303078,0.23777682,0.24676025,0.25565892,0.25962844,0.25180504,0.22800694,0.1912248,0.1513989,0.12193418,0.112159036,0.1262814,0.16096829,0.20756197,0.25115755,0.27890608,0.28593352,0.2792214,0.27040434,0.26805642,0.27475,0.28824902,0.30516824,0.3200564,0.32767797,0.3232354,0.30665946,0.28216597,0.2579345,0.24063231,0.23338144,0.23463416,0.24256893,0.25502327,0.26929796,0.2790737,0.27775654,0.2617644,0.233639,0.20069401,0.17167883,0.15367131,0.14904176,0.15573554,0.16928291,0.18557502,0.20159365,0.2135659,0.21711314,0.20875014,0.19017555,0.17018513,0.1622894,0.17703564,0.2137882,0.25976267,0.29813838,0.31737217,0.31673798,0.30238894,0.28398797,0.26805875,0.25725323,0.24964696,0.2434904,0.23914738,0.23904377,0.24449627,0.25390342,0.26269278,0.26559228,0.25950947,0.24601744,0.23014565,0.2176158,0.2120263,0.21565105,0.22916736,0.25142077,0.2777237,0.30223647,0.3195083,0.32608542,0.3201809,0.30348235,0.28286803,0.26715085,0.2626245,0.26776955,0.2780626,0.28792843,0.29529825,0.2971096,0.29075658,0.27431235,0.2509646,0.22871147,0.21592294,0.21734126,0.23032574,0.24874683,0.262055,0.2604997,0.23559298,0.18953264,0.13309284,0.08293962,0.049840804,0.03706859,0.040301953,0.052460864,0.06603503,0.077187,0.0871172,0.10027748,0.11933043,0.14491554,0.17689522,0.2157783,0.25862682,0.2981931,0.3263799,0.34019837,0.3433635,0.34173283,0.33839226,0.33150688,0.31802103,0.29859224,0.27966106,0.26892662,0.2690343,0.27510062,0.2790121,0.27357587,0.2554695,0.22495513,0.18856893,0.15621954,0.13868664,0.13964517,0.15797208,0.18598785,0.21553184,0.23640782,0.24474843,0.2426247,0.23861808,0.23842706,0.24240679,0.24617712,0.24632703,0.24244177,0.2366122,0.23152281,0.22902973,0.22947025,0.23182535,0.23578793,0.24229895,0.252345,0.26331258,0.26970044,0.26708367,0.25739637,0.24803078,0.24516666,0.24814077,0.2498058,0.24459217,0.23212837,0.21705969,0.203027,0.19259435,0.18726926,0.18892002,0.19721217,0.20924245,0.22006954,0.22510362,0.22262551,0.21530008,0.20991689,0.21170278,0.2210335,0.23222196,0.24014139,0.24247526,0.24080186,0.23684072,0.2325912,0.23019607,0.23155479,0.23639224,0.24109851,0.2420519,0.23822199,0.2335257,0.23129375,0.23200317,0.23072241,0.22421402,0.2125492,0.20081365,0.19341892,0.19277225,0.19829178,0.2073914,0.21667506,0.22337614,0.22870393,0.23637672,0.24942784,0.26502177,0.2763556,0.2770141,0.26657617,0.2500405,0.2356319,0.22959141,0.23401316,0.24498284,0.25598454,0.26116097,0.25876608,0.25104174,0.2424352,0.23754424,0.23888378,0.2465747,0.25835606,0.2694955,0.27352345,0.26392564,0.239325,0.2043032,0.16731112,0.1354251,0.11315008,0.1036528,0.10825542,0.12469248,0.14567043,0.1629666,0.1738879,0.18606247,0.21597163,0.27550104,0.35860434,0.43468416,0.46861503,0.44331372,0.37553462,0.2988868,0.2431625,0.2173896,0.21594262,0.22653282,0.23915218,0.24662827,0.24769665,0.24644645,0.25079754,0.26298192,0.2746941,0.2701821,0.24149422,0.19793315,0.16248791,0.15688135,0.19210987,0.26550338,0.36162773,0.4507989,0.50113004,0.49603584,0.450249,0.39595065,0.36062643,0.34807178,0.34694389,0.34360656,0.3327438,0.3145368,0.2913058,0.2661838,0.24336575,0.2283535,0.2235089,0.22731827,0.23341782,0.23658246,0.23460145,0.2305411,0.22851323,0.23076715,0.233447,0.22960848,0.21450149,0.19291365,0.17464721,0.16652161,0.1636193,0.15620787,0.13920839,0.120381765,0.113841735,0.13010125,0.16605534,0.2087333,0.246575,0.28399867,0.33468866,0.40488958,0.4758025,0.51835155,0.51470613,0.4745008,0.4206836,0.37390575,0.34277594,0.3276066,0.32363036,0.322504,0.31595752,0.30032158,0.28055418,0.2664638,0.26467282,0.27240404,0.27906486,0.2769089,0.2670175,0.25903013,0.26292703,0.2868433,0.33454546,0.40163043,0.46819416,0.5060242,0.4960259,0.44551408,0.38048622,0.3272963,0.29521772,0.27955985,0.2702576,0.26185063,0.2542132,0.25029215,0.2509422,0.25338987,0.25356114,0.25031683,0.24680962,0.24792854,0.25611094,0.2698975,0.2843714,0.29588673,0.30192968,0.3019885,0.29333204,0.2757442,0.25242728,0.23070836,0.21325862,0.19649966,0.1752469,0.15268874,0.13895117,0.14283854,0.16176333,0.18526287,0.2042961,0.22266509,0.25530818,0.3149944,0.39458534,0.46430483,0.49132338,0.46496296,0.40387794,0.33882514,0.29068464,0.2629039,0.248773,0.24182035,0.24010403,0.24459887,0.2558404,0.2714572,0.28676155,0.29457948,0.28811756,0.262804,0.22364652,0.18302415,0.15869446,0.16289075,0.2039209,0.27923098,0.3750861,0.4602436,0.5035593,0.4906871,0.437791,0.37519762,0.32849574,0.3042149,0.2958405,0.29227164,0.2860798,0.27437526,0.25871232,0.24265467,0.23076868,0.22637619,0.22989506,0.23691706,0.24036163,0.23461205,0.22077276,0.20629646,0.2010923,0.20827633,0.22044194,0.2232231,0.20884103,0.18359093,0.16238637,0.15507919,0.15961297,0.16806503,0.17517225,0.18250346,0.19579007,0.2200705,0.2537936,0.2893044,0.32094362,0.3553196,0.40421525,0.46719238,0.5200079,0.53204584,0.4914055,0.41584095,0.33617374,0.27498117,0.23747575,0.21733226,0.2062195,0.19877155,0.19368441,0.19236232,0.19688578,0.20665474,0.21512775,0.21197875,0.19029348,0.15585692,0.12611847,0.12127507,0.15298207,0.2220393,0.31827375,0.42149305,0.50130755,0.53146845,0.5036323,0.43716088,0.36253226,0.30591837,0.27542067,0.26668304,0.2683722,0.27026007,0.26768553,0.26190105,0.25765416,0.2561364,0.25581196,0.25341052,0.24931349,0.24635607,0.2481554,0.2550627,0.26302454,0.2670221,0.2645379,0.25772768,0.24911726,0.24041009,0.23138534,0.22187503,0.21034527,0.19552965,0.17795527,0.16197485,0.1516258,0.14853485,0.15055116,0.15666692,0.16911906,0.19642906,0.2503688,0.33651993,0.44180265,0.5333378,0.5780573,0.5659035,0.51587003,0.4581306,0.41338798,0.38610795,0.3708736,0.36133337,0.3534299,0.3468422,0.34369043,0.34803045,0.3616027,0.37966028,0.39082095,0.38260987,0.35152927,0.30350015,0.2535222,0.22017176,0.22613342,0.28355965,0.38037932,0.4749166,0.52300715,0.5074324,0.4493295,0.38590446,0.34555852,0.3359249,0.349942,0.3741776,0.39573288,0.40633556,0.4046397,0.39400616,0.3788437,0.36183515,0.3444754,0.3276067,0.31167552,0.2971578,0.28633103,0.28399956,0.29591253,0.32112327,0.3494363,0.36273375,0.35048044,0.31627563,0.2782335,0.25276136,0.24590743,0.2512224,0.25990024,0.2680194,0.27964234,0.2986505,0.32305193,0.3444934,0.3635776,0.3938179,0.45156845,0.53033805,0.59940463,0.6256867,0.60201603,0.5482305,0.49037874,0.44179878,0.4016472,0.3653529,0.3329512,0.3094137,0.30065462,0.30916238,0.33318627,0.36641863,0.39633706,0.4062407,0.38261762,0.32857144,0.26397064,0.21718995,0.2095884,0.25207332,0.3394465,0.44880748,0.5406994,0.5808422,0.56102234,0.5044405,0.4442959,0.40094435,0.37467384,0.35544142,0.33589044,0.3158191,0.30049512,0.29516044,0.30164385,0.31690073,0.3346034,0.3486193,0.35587052,0.3575643,0.35661435,0.35673466,0.3610854,0.37333667,0.39080203,0.40227115,0.38935408,0.34350845,0.27277282,0.19961075,0.14340077,0.114000835,0.1111043,0.13002563,0.16187714,0.19622467,0.22362113,0.2402399,0.24901587,0.2628291,0.2996395,0.3704679,0.46252832,0.5425167,0.57930404,0.5686409,0.5322591,0.49672833,0.47417387,0.46140733,0.45000228,0.43529412,0.41798136,0.40270695,0.39524534,0.39919326,0.41192305,0.4208386,0.4090439,0.3658056,0.30055305,0.23791422,0.20584977,0.21900986,0.278723,0.3724091,0.47468218,0.54999423,0.5699045,0.5324722,0.4632678,0.39642242,0.35160664,0.32974926,0.3205291,0.31473413,0.3074108,0.29921833,0.29230276,0.28909063,0.28888178,0.28944787,0.2870846,0.2799567,0.26841947,0.2559221,0.24771239,0.2494963,0.26578656,0.29187748,0.3130715,0.3083479,0.27250895,0.22053103,0.18085611,0.16815871,0.17701654,0.18878858,0.19210733,0.19015515,0.19764405,0.22535479,0.27144185,0.32297835,0.37387392,0.43008545,0.4991304,0.567626,0.60605615,0.59167504,0.5322972,0.4567962,0.39314175,0.35053656,0.32437575,0.30574158,0.2891565,0.27222505,0.2567282,0.24721675,0.24989967,0.2624532,0.27324522,0.26439124,0.2319342,0.18849534,0.15785925,0.15542285,0.18699682,0.25360367,0.35198772,0.46433768,0.5551319,0.59139395,0.5665181,0.50447255,0.4385035,0.389089,0.35956916,0.34470627,0.33877254,0.33694884,0.33438817,0.32738212,0.3148168,0.2995497,0.28586963,0.27711213,0.27339888,0.27397242,0.27869758,0.29020858,0.3110938,0.34254277,0.37675878,0.39928004,0.39357975,0.3590254,0.31001115,0.26754603,0.23904698,0.22029757,0.20457776,0.1941284,0.1949798,0.20985162,0.233159,0.25771034,0.2807277,0.31191584,0.36416757,0.44157824,0.5231016,0.5762737,0.57821906,0.53708977,0.4796443,0.43207684,0.4029754,0.38945398,0.38520363,0.38769603,0.39458227,0.4034442,0.41124058,0.41913554,0.42734718,0.433195,0.42681742,0.4029714,0.3641769,0.32385433,0.29650554,0.29786322,0.3391557,0.41969514,0.5149662,0.5854896,0.60175914,0.56705457,0.5107342,0.4639205,0.43915567,0.43164217,0.4295495,0.4239612,0.41127065,0.3939537,0.37739706,0.36688086,0.36343214,0.36405674,0.36401144,0.36035848,0.35340878,0.34577814,0.34146845,0.34454015,0.35632268,0.36972666,0.3701981,0.34486508,0.29790822,0.24842955,0.21784407,0.21059524,0.21681553,0.2211581,0.21768785,0.2110942,0.21456464,0.23691155,0.2760148,0.3206216,0.3682172,0.42723775,0.50439066,0.58100677,0.6239782,0.61002135,0.5507034,0.47756347,0.42149234,0.39305627,0.38780627,0.39247787,0.39529607,0.3897593,0.3785136,0.3702785,0.37428078,0.3910313,0.410659,0.4163213,0.3981603,0.3590078,0.3153223,0.28665748,0.29164493,0.33963394,0.4242963,0.51610106,0.5757799,0.57731086,0.5270218,0.45488492,0.39253864,0.35500434,0.33991492,0.33591512,0.33218458,0.32313696,0.30982736,0.29634055,0.2876874,0.28601813,0.29193953,0.3022305,0.31359717,0.32274982,0.33082965,0.34063563,0.35553178,0.37360597,0.38562045,0.37713277,0.3393644,0.27975008,0.22001159,0.18044798,0.16583817,0.16499592,0.16501026,0.15902555,0.14982547,0.1411315,0.13852127,0.14574079,0.17145117,0.22538774,0.31400144,0.42521372,0.5273848,0.5834401,0.577787,0.52481145,0.45668045,0.3985068,0.35900018,0.33351257,0.31588686,0.30274183,0.29484162,0.2944201,0.30479193,0.32732633,0.3564932,0.37668607,0.36903015,0.32807732,0.27045688,0.22667392,0.22100218,0.26174086,0.3418992,0.4431109,0.5360336,0.5904567,0.5914551,0.5510304,0.49612615,0.45091555,0.42318085,0.41041812,0.40534618,0.40278742,0.39821395,0.3906454,0.38148335,0.37387374,0.367934,0.3601258,0.3455324,0.32359603,0.29955915,0.28278044,0.2812337,0.29879352,0.33073744,0.3638425,0.3789257,0.36378512,0.32108498,0.2681715,0.22326118,0.19627397,0.1876217,0.1946341,0.21502359,0.24701107,0.2871505,0.32801425,0.36040223,0.38180104,0.40463758,0.4472747,0.5116214,0.57129765,0.5905301,0.5565787,0.48937154,0.422497,0.37573674,0.34987855,0.3353205,0.3257425,0.31986082,0.31986752,0.3275204,0.3431228,0.36583957,0.390426,0.40808854,0.4073355,0.3849388,0.34675097,0.30898592,0.28882447,0.30444553,0.36328158,0.4552524,0.5449105,0.59335595,0.580812,0.52319413,0.45329237,0.399223,0.3683262,0.35418585,0.34638703,0.3389014,0.32977888,0.31891844,0.3068794,0.2962581,0.29229522,0.2985263,0.31199732,0.32298827,0.32284072,0.31112316,0.29761723,0.29631016,0.31548706,0.34884846,0.37620163,0.37720975,0.34898922,0.3076298,0.27409372,0.2562562,0.24881566,0.24208355,0.23113279,0.21705158,0.20400198,0.19682407,0.19669132,0.20314264,0.21670245,0.24086694,0.27683744,0.3178871,0.3529698,0.37257853,0.37577522,0.36607623,0.3507361,0.3362011,0.32856187,0.329175,0.33510602,0.34077945,0.34318766,0.34282756,0.34175327,0.33866706,0.32957795,0.31097543,0.28599727,0.2617822,0.24590264,0.24080257,0.24839897,0.26887473,0.30074295,0.33415118,0.35928795,0.3716782,0.3776208,0.38328055,0.3891944,0.39017045,0.38334873,0.37117717,0.35802507,0.3456051,0.3325806,0.31747147,0.3023441,0.2912468,0.2882711,0.2926847,0.30000284,0.30330434,0.29896045,0.28870133,0.27947998,0.27733836,0.28158465,0.28417715,0.27699384,0.2600861,0.24197988,0.23197831,0.23192136,0.2360213,0.23659666,0.23033945,0.21949406,0.20892912,0.20253064,0.20213117,0.20992525,0.22961755,0.26273847,0.30330753,0.33737662,0.3525968,0.34614882,0.32686046,0.30641118,0.29349253,0.28992745,0.29377246,0.30044997,0.30634376,0.30883682,0.30792472,0.3050301,0.3024577,0.30140054,0.2999278,0.2945038,0.28190613,0.26347795,0.24427195,0.23193073,0.23235516,0.24619217,0.26732722,0.2857401,0.29498306,0.29626712,0.2963936,0.3007733,0.30882823,0.31619158,0.31864154,0.31588158,0.31001115,0.3043771,0.30128202,0.30244568,0.30777302,0.31588134,0.32351723,0.3284699,0.32975996,0.3290311,0.32778025,0.32764235,0.32903513,0.33100057,0.3304744,0.32304272,0.30770025,0.28766972,0.269853,0.25802016,0.25188777,0.24728625,0.24079435,0.23112375,0.22050731,0.21350558,0.21486996,0.22639908,0.24590272,0.2693354,0.29196957,0.30923164,0.3153056,0.30846968,0.29281983,0.27972615,0.27830327,0.29157174,0.31384662,0.33724967,0.35450923,0.36189446,0.35863575,0.34785995,0.33524537,0.32517645,0.31513444,0.29594755,0.25975683,0.21039982,0.16245374,0.1322893,0.12765273,0.15060562,0.19878955,0.26606178,0.33556017,0.38789952,0.4113169,0.4107209,0.398576,0.3846407,0.3708018,0.35576296,0.33932784,0.32337248,0.30997708,0.2999982,0.29199,0.28382578,0.27521452,0.26969254,0.27189377,0.28290084,0.29906747,0.315156,0.3287858,0.33924887,0.34447226,0.33972204,0.321414,0.2913736,0.25562206,0.22025453,0.18799627,0.16084562,0.14297281,0.13938296,0.15097974,0.17150424,0.19167244,0.20494789,0.2109346,0.21295895,0.21418174,0.21541959,0.21547867,0.21242827,0.20400864,0.18771271,0.16307855,0.13453327,0.11215508,0.10633713,0.120000154,0.14604056,0.17113556,0.18541054,0.1860615,0.17755133,0.16519944,0.15243365,0.13902612,0.12329463,0.10354179,0.0799601,0.054992065,0.03264396,0.016171273,0.0064865705,0.0020574727,0.0005571326,0.00017436524,8.754557E-05,5.9632202E-05,9.391218E-05,0.00027331675,0.00075530243,0.001748959,0.0034450844,0.00598211,0.009436152,0.013873647,0.019330611,0.025768494,0.03296841,0.040560704,0.048100796,0.055257212,0.062088817,0.06968576,0.08079452,0.098994486,0.12625802,0.1597703,0.19269843,0.21740372,0.23112004,0.23608364,0.23791611,0.23993568,0.24247567,0.24316393,0.24055584,0.23432946,0.22512029,0.21621436,0.21743244,0.24755315,0.32123196,0.43324575,0.54599446,0.61307317,0.60741156,0.54588234,0.46762824,0.40761292,0.3737465,0.3579403,0.35013494,0.3480948,0.3534633,0.36599123,0.3817772,0.39450142,0.3977069,0.3861406,0.35816014,0.31849137,0.27751774,0.24759866,0.23986657,0.2651131,0.33089617,0.43231535,0.5422452,0.6204522,0.63709617,0.5944671,0.52195865,0.45368674,0.40739152,0.3822715,0.36926758,0.36066607,0.35335734,0.3467448,0.34121978,0.33675146,0.33281073,0.32835397,0.32264164,0.3159434,0.30928037,0.30415776,0.30263153,0.3071976,0.3183687,0.33017942,0.33200106,0.31464258,0.2811961,0.24333419,0.21515727,0.20076124,0.1978448,0.19959635,0.20381545,0.21214877,0.23148267,0.26384982,0.30457032,0.34422922,0.3866968,0.44519284,0.52713454,0.6074893,0.64593416,0.61621785,0.53590715,0.4451852,0.3790698,0.34453318,0.33218047,0.3290769,0.32884893,0.3289056,0.32937905,0.3311269,0.3355743,0.338758,0.3312304,0.30060938,0.24520989,0.1762877,0.115835555,0.0842978,0.09953203,0.1711967,0.29316226,0.4312199,0.53494406,0.5664006,0.52803534,0.45576897,0.3912735,0.35549977,0.34702685,0.35338917,0.36302575,0.3695552,0.37142172,0.37015662,0.3676374,0.3649391,0.3620145,0.35877147,0.3552769,0.35185638,0.34952655,0.35008156,0.35494503,0.36181685,0.3632542,0.34995046,0.31754965,0.2717165,0.22448273,0.18804546,0.16750745,0.16190107,0.16555054,0.17230539,0.17695253,0.17676441,0.17233713,0.16916125,0.18039592,0.22547312,0.31614947,0.43993983,0.553457,0.609776,0.5891275,0.51604897,0.43387058,0.37563732,0.34638345,0.3350978,0.32965988,0.326269,0.32546198,0.32846412,0.33379436,0.340165,0.34211603,0.331998,0.29974937,0.24608988,0.1822704,0.12908104,0.10493931,0.12715062,0.20530777,0.33273947,0.47208235,0.57007843,0.58816606,0.5334654,0.44726267,0.37438533,0.33313882,0.31791463,0.31392786,0.3118212,0.30881605,0.30542204,0.30235264,0.29979023,0.2977138,0.2956824,0.2931963,0.28982294,0.28553113,0.28113046,0.2787471,0.2816681,0.2903237,0.29826882,0.293215,0.26642856,0.22194515,0.17485434,0.14053907,0.12402911,0.12035159,0.12134432,0.12428144,0.13438089,0.16010277,0.20238297,0.25127706,0.2961421,0.3428258,0.408278,0.49720597,0.58072513,0.61690146,0.5851646,0.5072365,0.4236499,0.36449888,0.33436784,0.32393327,0.32254174,0.32422522,0.32582733,0.32663748,0.32766175,0.33086738,0.33200255,0.32108343,0.28562057,0.2259587,0.15532671,0.09759629,0.07341972,0.101332165,0.18790813,0.32140037,0.45928773,0.5505392,0.5634043,0.51166576,0.43557426,0.3740627,0.33984268,0.32655397,0.3216584,0.31843662,0.31500882,0.31199542,0.3095676,0.30792308,0.30699083,0.30681562,0.30697522,0.30699798,0.30644056,0.30628052,0.30893543,0.31807384,0.3331921,0.3480082,0.3510885,0.33644882,0.3074869,0.2755508,0.25019264,0.23502474,0.22976571,0.23309265,0.24303026,0.25426236,0.25969028,0.2558398,0.24895312,0.25749853,0.30266395,0.39237484,0.5050888,0.5969139,0.627983,0.59231544,0.51887625,0.44712964,0.39954922,0.3761941,0.36716416,0.36529186,0.36887684,0.37757635,0.38977945,0.40166056,0.40917084,0.40706325,0.3918793,0.36170867,0.32143927,0.2798008,0.2500116,0.24478395,0.278095,0.35543588,0.46532658,0.5700626,0.62719864,0.6140775,0.54919773,0.4705985,0.41156363,0.37915397,0.36550853,0.3589982,0.35446385,0.35008678,0.3457358,0.340933,0.3355974,0.32949856,0.32274696,0.31544772,0.3082998,0.301826,0.29753527,0.29763713,0.30524692,0.31866863,0.33006665,0.32663202,0.30269495,0.26356247,0.22422522,0.19676201,0.18602403,0.18836229,0.1979947,0.2103424,0.22632523,0.2497418,0.28102425,0.3146944,0.3475747,0.38981786,0.45575204,0.54112333,0.61178726,0.62758297,0.577653,0.48982394,0.40615258,0.3518882,0.32762074,0.32095012,0.32087216,0.3224057,0.3242577,0.32680845,0.33028308,0.33401248,0.33178413,0.31388727,0.27190217,0.21008028,0.14384253,0.095546015,0.084368356,0.12611115,0.22321165,0.356881,0.48220634,0.5533436,0.5505546,0.49494994,0.42613265,0.3763474,0.35427403,0.35291696,0.35988343,0.36633572,0.36781704,0.36480483,0.35997197,0.3566877,0.35632178,0.35798848,0.3587456,0.35574007,0.34836754,0.3395318,0.33385584,0.33453265,0.3383951,0.33719102,0.32151043,0.29089734,0.25397095,0.2238726,0.20738477,0.20303416,0.20433067,0.20521824,0.20258434,0.19570358,0.18579616,0.17617221,0.17443168,0.19617312,0.2577584,0.36277035,0.4836742,0.57442945,0.59639984,0.5512306,0.47216797,0.40036786,0.3551403,0.33463904,0.32692125,0.32375368,0.32268283,0.32370713,0.3268502,0.33109495,0.33446908,0.33065286,0.31069395,0.26847085,0.20997976,0.15122715,0.11261326,0.11136673,0.16220866,0.26752976,0.40698266,0.5321551,0.59432584,0.574583,0.49950397,0.41437706,0.35353932,0.32300162,0.31224275,0.3083627,0.30497643,0.30057803,0.2957921,0.29140797,0.28811213,0.2859655,0.28446925,0.28263345,0.27989706,0.27615762,0.2728484,0.272451,0.27801105,0.2869772,0.29034188,0.27494094,0.23701817,0.18524152,0.13740872,0.106142946,0.095293276,0.101817854,0.12265461,0.15609808,0.20026533,0.24988048,0.29515135,0.32792985,0.35282052,0.38997772,0.4571497,0.543308,0.6078105,0.6108708,0.5503152,0.46047863,0.3834324,0.33834115,0.32083917,0.31703433,0.31756222,0.318624,0.319872,0.32195547,0.3264668,0.33176002,0.32998252,0.3086799,0.2611617,0.19466591,0.1284148,0.08457545,0.08194539,0.13381521,0.24010126,0.37561998,0.49292842,0.5475834,0.5294808,0.46603742,0.3986094,0.35246432,0.33013654,0.321502,0.31767225,0.31510842,0.3136955,0.31385067,0.31508103,0.3165634,0.3171241,0.31622958,0.31349048,0.30963808,0.30543846,0.30321237,0.30496123,0.31232968,0.3194934,0.31568873,0.28796902,0.23665445,0.17364031,0.11877903,0.08388156,0.07247556,0.08078024,0.10389312,0.13531761,0.16659681,0.18879698,0.19786651,0.20184231,0.222746,0.28317487,0.3853315,0.4966525,0.56931955,0.57206446,0.515898,0.4385161,0.37701258,0.34403396,0.3328301,0.32978174,0.326828,0.3225813,0.3196729,0.3207169,0.3261892,0.3331618,0.33444798,0.32200778,0.29259208,0.25370255,0.21954823,0.20583735,0.22477472,0.28585252,0.38657698,0.50338626,0.59262294,0.6172674,0.57224625,0.4882115,0.40537772,0.348662,0.32023534,0.31058374,0.3093811,0.30971125,0.3071144,0.29919752,0.2864277,0.2727876,0.26328203,0.2604791,0.2622266,0.26460814,0.26597947,0.2688799,0.2767304,0.290314,0.30407146,0.3089137,0.29548872,0.26412606,0.22460459,0.19232672,0.17512576,0.17137678,0.17501344,0.18523742,0.20699759,0.24441065,0.2915667,0.33421052,0.35984576,0.37651995,0.40762317,0.47267905,0.5556815,0.6169713,0.62099075,0.57124394,0.49737728,0.43247804,0.389402,0.36657408,0.35646084,0.35378447,0.35439587,0.35565248,0.3560116,0.35667062,0.35757008,0.35617813,0.34626648,0.3258368,0.29943576,0.2782853,0.2731769,0.29369876,0.34481457,0.42278445,0.50620586,0.5639677,0.57162064,0.5322387,0.46983075,0.41338047,0.3764081,0.35906085,0.354741,0.35866252,0.3675294,0.37806448,0.3869846,0.39070702,0.38657418,0.37254664,0.34929863,0.32097352,0.29493448,0.27925873,0.2789565,0.2932931,0.31468895,0.32998192,0.3254958,0.29285625,0.2358613,0.16804415,0.10721726,0.065317415,0.04641984,0.046692546,0.05845822,0.07371044,0.08908939,0.107300974,0.13516487,0.1785718,0.24414325,0.33345094,0.43903127,0.5329965,0.5840215,0.5749389,0.5224688,0.45956624,0.41434798,0.39215544,0.38270143,0.37420198,0.3631049,0.3547612,0.3552682,0.36575556,0.38034835,0.38868284,0.38112524,0.3512845,0.30300808,0.24859458,0.2073064,0.1952907,0.22511332,0.30074278,0.41224265,0.52669674,0.5989184,0.59840304,0.5338823,0.44583404,0.37550393,0.3382224,0.32411817,0.31639847,0.30613732,0.29436615,0.28440797,0.27721584,0.27014056,0.262578,0.25766662,0.26093677,0.27372658,0.29115844,0.3053429,0.31158108,0.31183502,0.31169274,0.3149077,0.31893095,0.3177365,0.30774224,0.29147863,0.2748083,0.26209044,0.2545023,0.2521919,0.25659063,0.27084115,0.2971615,0.33171692,0.36546287,0.39096484,0.4170519,0.46010467,0.5271012,0.5913661,0.61432797,0.5724747,0.4852352,0.39130557,0.32490197,0.29363778,0.28948662,0.29807594,0.30897102,0.31526253,0.31578723,0.31342754,0.31469408,0.32125822,0.32938704,0.3287592,0.31546164,0.29263547,0.27304617,0.2692145,0.29507145,0.3573264,0.4497087,0.54166526,0.5946028,0.58474845,0.5258379,0.4535967,0.39995906,0.37100378,0.35521635,0.34003732,0.3234079,0.31095228,0.30740297,0.31257623,0.3211755,0.32801613,0.32923338,0.32414937,0.31355807,0.3006656,0.2905688,0.28840825,0.2973525,0.31486428,0.3332291,0.34036323,0.32754955,0.29448682,0.25098428,0.20973401,0.18003057,0.16512354,0.1649723,0.17706001,0.19718896,0.2193643,0.23875928,0.25505242,0.27642354,0.3187785,0.39350936,0.49126008,0.57734925,0.61407334,0.589488,0.52694947,0.46415317,0.42652965,0.41681397,0.42397788,0.435001,0.44216678,0.44230923,0.4366418,0.4270889,0.41651955,0.40364352,0.38379183,0.34974554,0.30288017,0.25558427,0.22860128,0.23707385,0.28695714,0.37056088,0.46886173,0.54833,0.5786469,0.5492887,0.4829569,0.41451952,0.3688948,0.34694156,0.33770093,0.33089003,0.32274738,0.3125732,0.30019054,0.28687575,0.27603948,0.2725341,0.2788392,0.29349336,0.31067213,0.32385132,0.32894823,0.32662806,0.32183257,0.31829298,0.31477308,0.30394503,0.28221652,0.25539306,0.23589297,0.22925334,0.22799174,0.21987872,0.2015159,0.1824813,0.17682594,0.19114573,0.22024705,0.25259364,0.28402117,0.32486287,0.3897585,0.47508302,0.55102926,0.5819816,0.55639833,0.49337208,0.42373648,0.36769092,0.3309752,0.31133685,0.30463788,0.30499068,0.3058838,0.3044906,0.30383936,0.31111887,0.32806328,0.34746358,0.35513803,0.34414306,0.31958637,0.2975893,0.29352248,0.31944343,0.37695572,0.45468545,0.52160287,0.5461352,0.5141459,0.445629,0.37328324,0.3230522,0.29726097,0.28663275,0.28006223,0.2739254,0.26952103,0.27004507,0.27639866,0.28590965,0.29449752,0.2994723,0.30181038,0.30477098,0.3118141,0.324079,0.3388336,0.35208893,0.3588402,0.35684082,0.34316483,0.31972107,0.29034427,0.26231983,0.23718469,0.21346106,0.19012451,0.17397213,0.17365181,0.19117449,0.21696287,0.23811561,0.250339,0.2659143,0.30582854,0.3815758,0.47621512,0.5507788,0.56993014,0.53127515,0.4622397,0.39790237,0.35631928,0.33825317,0.33517957,0.3392736,0.34449247,0.34937742,0.35529244,0.36495635,0.37602308,0.38019073,0.36599728,0.3274568,0.271206,0.21502827,0.18178792,0.188682,0.24593718,0.34747896,0.4710327,0.5749521,0.6245125,0.60775334,0.5482116,0.4799235,0.4293754,0.40138796,0.38953152,0.38425267,0.3801272,0.3748215,0.36854747,0.36208025,0.3569453,0.35434428,0.35473064,0.35649213,0.35685655,0.35385442,0.34853745,0.34431413,0.34438872,0.3460048,0.33991894,0.31536886,0.27321425,0.22834797,0.20068835,0.19750786,0.2107687,0.22601502,0.23636444,0.24461257,0.25921395,0.28491998,0.3185476,0.35097647,0.37977132,0.41485927,0.4690055,0.5353525,0.58536476,0.588983,0.5440238,0.4752601,0.4150636,0.37888536,0.36431947,0.3592554,0.35400888,0.34441414,0.33233812,0.3227755,0.32062936,0.3258488,0.33007082,0.32033488,0.2894282,0.24672095,0.21432526,0.21411376,0.25375378,0.32695627,0.41698256,0.5016508,0.5558443,0.5635548,0.52664953,0.46667477,0.40885675,0.37028274,0.35308662,0.35151675,0.3564943,0.36122862,0.3622869,0.36009276,0.3568342,0.3539115,0.3514792,0.3492423,0.34801462,0.35074225,0.35982522,0.37495396,0.38921294,0.39544407,0.38838056,0.37066033,0.345685,0.31940734,0.2947075,0.2745771,0.2580334,0.24506223,0.23768552,0.23943907,0.24916004,0.2592839,0.26229241,0.25939313,0.26209918,0.28685823,0.34336436,0.42734703,0.5159448,0.5808019,0.6027984,0.58610994,0.5488139,0.51040614,0.47998643,0.45919338,0.44544074,0.4359893,0.42976925,0.42854694,0.43463245,0.44635317,0.4570175,0.45794758,0.44382,0.41441095,0.37456834,0.33032134,0.29062262,0.26786825,0.28018805,0.3366578,0.4248711,0.5066927,0.54460377,0.5260744,0.47276643,0.41849533,0.38833645,0.38684735,0.4048364,0.42698452,0.44081715,0.43984058,0.4246361,0.39959314,0.3709735,0.34391227,0.3218499,0.30418554,0.28939018,0.27571645,0.26511404,0.2609097,0.26861823,0.28856406,0.3145784,0.33159855,0.32926416,0.30778438,0.28135777,0.26413083,0.2629411,0.27413887,0.29081562,0.30813146,0.32519138,0.34224376,0.3578024,0.37109005,0.3895935,0.4284773,0.4966209,0.57761925,0.63438815,0.63575506,0.58318394,0.5069969,0.44032368,0.39753923,0.37359098,0.35851908,0.34773752,0.34422895,0.35198286,0.3706371,0.39317617,0.40859282,0.40592194,0.3791026,0.33148637,0.27690423,0.23355372,0.21549048,0.22976696,0.27864006,0.35793808,0.44875577,0.5189848,0.5401506,0.5099377,0.451717,0.39604628,0.35796618,0.33638653,0.3226732,0.3130549,0.30839923,0.3124293,0.3253954,0.34317252,0.35827658,0.3658084,0.36636627,0.36484924,0.36545953,0.3684608,0.37140894,0.37268975,0.3743179,0.37807372,0.38048455,0.37086725,0.34020272,0.28922805,0.23099463,0.1824454,0.15781195,0.16291499,0.19462752,0.2408024,0.28712988,0.32320562,0.34748292,0.36411297,0.38431534,0.4187756,0.47302285,0.53243536,0.5733485,0.57569796,0.5437483,0.49549332,0.4500412,0.41445875,0.38913834,0.37281957,0.365303,0.36558184,0.37244713,0.3841728,0.39879742,0.41028658,0.4102094,0.38992488,0.34994158,0.30108693,0.26201817,0.2485501,0.27042377,0.32892326,0.41550636,0.5066111,0.57020044,0.582602,0.5459997,0.48480186,0.42847958,0.3934513,0.38127574,0.38305447,0.38766646,0.38552117,0.3738654,0.35658327,0.34116971,0.33259428,0.33062682,0.3313017,0.33031848,0.3265024,0.32205108,0.32054713,0.32391587,0.3298649,0.33160043,0.31958243,0.28927204,0.24837679,0.21646684,0.2101164,0.22796808,0.24960546,0.25349882,0.23550723,0.21216415,0.20688362,0.22917958,0.26995257,0.31053838,0.34727547,0.39117298,0.4544474,0.52244854,0.56473666,0.5572204,0.50923157,0.44896826,0.40257826,0.37576398,0.361241,0.3499882,0.33869347,0.3286813,0.3223543,0.3211482,0.325047,0.32927963,0.32439122,0.29863843,0.2506404,0.19351827,0.15124339,0.14418422,0.18288422,0.26639393,0.3813618,0.49928308,0.58491516,0.6149785,0.59302,0.5421147,0.48744187,0.442623,0.41186836,0.39398777,0.38603136,0.3833386,0.3812281,0.37586865,0.36499953,0.34950712,0.333436,0.32191685,0.31751427,0.3202695,0.32908764,0.34294367,0.3586283,0.37097016,0.37319395,0.36187053,0.3389139,0.31496942,0.3025075,0.30774558,0.3221571,0.33075365,0.32414684,0.30793265,0.29419664,0.29191878,0.29958797,0.3133534,0.3321191,0.36495593,0.41837513,0.4884267,0.5497417,0.5759104,0.55477816,0.5018035,0.44188514,0.39576006,0.37024197,0.36448994,0.37330627,0.3905953,0.4096694,0.42577216,0.435434,0.43820724,0.4335215,0.421595,0.40046203,0.37199843,0.34116706,0.31772113,0.30973944,0.32651708,0.3734567,0.4477304,0.52540165,0.57301444,0.56546503,0.5102216,0.43727317,0.38150322,0.35876927,0.365333,0.38294104,0.39272806,0.38429728,0.36051628,0.33229294,0.30990943,0.2969285,0.2911543,0.28833148,0.28604928,0.2842544,0.28429624,0.2869414,0.2922741,0.2993237,0.30434752,0.3009583,0.28489754,0.26222253,0.24672689,0.24928488,0.2653438,0.2792885,0.2770934,0.25843942,0.23657392,0.22823071,0.24180102,0.27106547,0.30477282,0.3408432,0.3886253,0.45133212,0.50905174,0.52990156,0.49701294,0.4275589,0.35768566,0.31874034,0.31861147,0.34504947,0.3753383,0.39134297,0.3882155,0.3757409,0.36724654,0.36951736,0.3770359,0.38031808,0.37180325,0.35473612,0.33709165,0.3288326,0.33410475,0.35749424,0.40211406,0.46536985,0.5273237,0.5592256,0.5423034,0.4854324,0.41657975,0.36359516,0.33813977,0.33649206,0.34694263,0.35831967,0.36457476,0.3657646,0.3647883,0.3642007,0.36420605,0.36385986,0.36129925,0.3562026,0.35154438,0.3530605,0.36431596,0.38133565,0.3940967,0.39187798,0.3695327,0.3307076,0.28749648,0.25591147,0.24414104,0.24696298,0.24900861,0.23976803,0.2196653,0.1978373,0.18181121,0.17580466,0.18269546,0.21011376,0.2672958,0.35586503,0.45826992,0.5413041,0.5759254,0.5574611,0.506971,0.45244548,0.41125572,0.38536683,0.3698672,0.35996953,0.3546549,0.3540162,0.35848394,0.36667505,0.3767533,0.38283026,0.37692693,0.35165277,0.31240875,0.27618518,0.26440632,0.2866976,0.34257033,0.42331207,0.51623577,0.59639424,0.6371114,0.62362283,0.56971437,0.5031762,0.44932178,0.41559538,0.3993412,0.3930095,0.3905679,0.3868334,0.38038898,0.3725687,0.3652728,0.35829043,0.35041344,0.3415953,0.33404484,0.3302506,0.3322144,0.33937943,0.350397,0.36083093,0.36605278,0.3595091,0.33988068,0.30934522,0.2764122,0.24696386,0.22651517,0.21783377,0.22607033,0.25297448,0.29456985,0.33757818,0.3658463,0.37052646,0.36209273,0.36826375,0.41297832,0.4893901,0.5569875,0.5721292,0.5239238,0.44113204,0.36465082,0.31860575,0.30165246,0.30059633,0.30395082,0.30846432,0.31583226,0.3287058,0.34678674,0.3667324,0.382162,0.3875041,0.38053963,0.36677063,0.3542825,0.3510715,0.3602045,0.3875742,0.4361073,0.5014269,0.55876964,0.58141893,0.55636686,0.5018082,0.44555232,0.40877986,0.39134035,0.38463,0.37906075,0.37057173,0.3574165,0.33973488,0.32052085,0.30605948,0.30404362,0.31692085,0.33812103,0.35418376,0.35412768,0.33738232,0.3133333,0.2960045,0.29469085,0.31062403,0.33345273,0.34926936,0.34736648,0.32894823,0.30339113,0.2825643,0.2737321,0.2770143,0.2851113,0.28794444,0.27922282,0.26193398,0.24510556,0.23965536,0.2531109,0.28729284,0.3352385,0.38213038,0.41410795,0.4255954,0.4222978,0.41369784,0.40814924,0.40903452,0.41573653,0.4238625,0.42779458,0.4235698,0.41167888,0.39633992,0.38149104,0.36661744,0.3467569,0.31915367,0.28823972,0.26416278,0.25339484,0.2545819,0.2625662,0.2751822,0.2933084,0.31519675,0.3357837,0.3502424,0.35860798,0.36357376,0.3676637,0.37156796,0.3753474,0.3785446,0.37987915,0.3769594,0.36861572,0.35606703,0.34474888,0.340129,0.34553233,0.35707393,0.36734593,0.3678592,0.35661983,0.33784485,0.3208858,0.3119708,0.3109444,0.310436,0.30388668,0.29005203,0.27484187,0.26430485,0.26086178,0.26162764,0.26315203,0.2639549,0.26549932,0.2691743,0.27454636,0.27898785,0.28168222,0.28478256,0.2930106,0.3072747,0.32380685,0.33528468,0.33715203,0.3294722,0.31656703,0.3043349,0.29713938,0.29666665,0.301077,0.30745614,0.31295803,0.3162682,0.31702125,0.31543228,0.3112561,0.3037853,0.2926675,0.27964696,0.26801988,0.26192018,0.26413456,0.27629945,0.2958094,0.3165859,0.33000287,0.3328167,0.32786238,0.32254627,0.32051465,0.32112345,0.32058585,0.31679118,0.30916655,0.2987336,0.28690514,0.27612755,0.26909718,0.26762584,0.2715867,0.27868167,0.28612128,0.2907337,0.29033482,0.2834511,0.27178195,0.26000306,0.2535762,0.25452662,0.2589328,0.2611637,0.2573176,0.2491443,0.24002872,0.23367798,0.23043913,0.22936392,0.2280749,0.22656971,0.22603774,0.22957842,0.23851132,0.25496104,0.28024662,0.31501314,0.3536609,0.38648447,0.4048032,0.4082558,0.40367305,0.39891124,0.39784226,0.39986673,0.40263602,0.4031289,0.39933062,0.39069843,0.3790795,0.36646667,0.35280165,0.33360395,0.30263925,0.25708938,0.20355107,0.15534648,0.1259378,0.121588685,0.14394063,0.19051196,0.25538123,0.32414225,0.38084126,0.41443315,0.42625165,0.42351735,0.4140426,0.401705,0.3888996,0.377987,0.37101898,0.3684241,0.36791733,0.36637345,0.3616567,0.35484007,0.34863797,0.3456594,0.3458583,0.3475163,0.34871462,0.34869182,0.34751478,0.3433738,0.33323494,0.31324017,0.2836055,0.24717683,0.20887768,0.17241974,0.14210348,0.1230466,0.11863615,0.127432,0.14253716,0.15707968,0.16736402,0.17395478,0.17831372,0.18143845,0.18330605,0.18382746,0.18241091,0.17770588,0.16737016,0.15060063,0.13047396,0.11438692,0.109802045,0.118412256,0.13492514,0.15028417,0.15864412,0.15905426,0.15472262,0.1487181,0.14231859,0.13444442,0.12259692,0.105045855,0.08227269,0.058141854,0.037355732,0.02326967,0.015916327,0.013432163,0.013548435,0.014916417,0.016910294,0.019306166,0.021981396,0.0248867,0.028032988,0.03147013,0.035291135,0.03960609,0.044538897,0.050099466,0.056197926,0.062669665,0.06954797,0.07711774,0.08590311,0.09621445,0.10796214,0.12096422,0.13585185,0.15412115,0.17615618,0.19925942,0.21829098,0.22968616,0.23423634,0.23528689,0.23549765,0.23490399,0.23376508,0.23245561,0.23169912,0.22999106,0.2263999,0.22367275,0.2322145,0.2683013,0.34272444,0.44765607,0.5513067,0.61702055,0.6264339,0.59298986,0.54525375,0.50705546,0.4844204,0.47332224,0.46781632,0.46552214,0.46584633,0.46785438,0.46992624,0.4689945,0.46072638,0.43954733,0.40176514,0.3503944,0.29559278,0.25201657,0.23259388,0.24817069,0.30352268,0.39182428,0.48756483,0.5561835,0.5742282,0.546074,0.49699935,0.45288113,0.42442915,0.40845355,0.39747798,0.38669452,0.37487397,0.36254856,0.3508141,0.34050167,0.3315846,0.3232744,0.31477594,0.3063631,0.29896507,0.2935594,0.29110035,0.2934744,0.3025109,0.3163247,0.32743636,0.32627115,0.30938226,0.28246546,0.25681645,0.24068086,0.23568381,0.23729281,0.24068515,0.24472177,0.25386548,0.27074942,0.2930707,0.31532463,0.3436428,0.39122495,0.46382523,0.53808373,0.57765776,0.56063324,0.5020723,0.4365022,0.3925018,0.37590086,0.37732697,0.38396454,0.3880731,0.3869907,0.3813518,0.37268028,0.36280528,0.35082218,0.3319284,0.29815468,0.24737097,0.187186,0.13460144,0.10732495,0.12162244,0.18631281,0.2948281,0.41542253,0.50311345,0.526458,0.49036476,0.42812434,0.37508583,0.34707722,0.34020936,0.34259215,0.34445164,0.3415649,0.33414295,0.32492658,0.31668583,0.31072184,0.3063086,0.3021494,0.29767725,0.29383755,0.29199997,0.2936857,0.3000413,0.3108277,0.32155156,0.32351804,0.3091105,0.27873585,0.24190252,0.21031348,0.19080853,0.18294074,0.18228124,0.18326998,0.18217982,0.17820652,0.17394795,0.17543976,0.19218992,0.23645353,0.31227127,0.40630683,0.4863701,0.5244449,0.5147093,0.47750595,0.4380243,0.41119146,0.39841744,0.3958241,0.39937663,0.4055965,0.41281673,0.4209002,0.43095204,0.4421064,0.4515302,0.45469832,0.44672823,0.42348418,0.38439646,0.33727953,0.29989588,0.2958393,0.3397495,0.42370245,0.51335853,0.56821257,0.56668705,0.5205632,0.46024105,0.4126414,0.38612762,0.3751234,0.36968192,0.36348018,0.35458314,0.34404767,0.33336917,0.32359144,0.31484416,0.3068377,0.2986672,0.2899556,0.2810097,0.2738731,0.27103648,0.274995,0.28467092,0.29349437,0.29063913,0.26857722,0.23063119,0.18931286,0.15842971,0.14339179,0.14142509,0.14546585,0.15200424,0.16326268,0.18449503,0.2150736,0.2473601,0.27629456,0.3123341,0.3725227,0.4571205,0.5359722,0.57055193,0.54752403,0.4892408,0.43127212,0.39459476,0.37964472,0.3768154,0.3788595,0.38248953,0.38755548,0.3940322,0.4023436,0.4117105,0.41980922,0.42128965,0.40807244,0.37379885,0.3194687,0.25922617,0.21645455,0.21651359,0.2701298,0.36504936,0.46329153,0.52379245,0.5242262,0.47734097,0.4145287,0.36475727,0.33675802,0.3247232,0.31812087,0.31138417,0.30337122,0.295935,0.29072055,0.28950208,0.29268253,0.2988805,0.30404893,0.30419818,0.2982141,0.28892007,0.28081128,0.27839124,0.28427795,0.29815102,0.31403685,0.32388762,0.32196262,0.31063402,0.29625952,0.2854565,0.2793508,0.27623892,0.2721001,0.26500335,0.2545404,0.24398611,0.24021822,0.25596604,0.3050613,0.3908292,0.49303326,0.573477,0.5995247,0.5691797,0.50879884,0.45171103,0.41566005,0.4014572,0.40125498,0.40774652,0.41589364,0.42319846,0.4288093,0.43223217,0.4317203,0.4233035,0.40278828,0.36903322,0.32726693,0.28732154,0.26049113,0.25631794,0.2841277,0.34603074,0.43137327,0.5099509,0.5519118,0.54343796,0.50085133,0.45051417,0.41355395,0.39230347,0.38015917,0.36903682,0.3563083,0.34268323,0.33015883,0.31959987,0.31092533,0.3033469,0.2965672,0.2904339,0.2855698,0.2819707,0.2801411,0.28079522,0.28698036,0.29972816,0.3158107,0.3253281,0.3205659,0.30106816,0.27552712,0.25284925,0.23746471,0.22810449,0.22267139,0.22129601,0.22780441,0.24555743,0.27197322,0.29896438,0.32351667,0.3564398,0.41160953,0.48341572,0.5402954,0.5480411,0.5018327,0.4288881,0.3665227,0.33456433,0.33247027,0.34767392,0.36752513,0.3828379,0.38853893,0.3844055,0.3735632,0.3606329,0.34478903,0.3197683,0.27770647,0.22053652,0.1604663,0.11629801,0.10457019,0.1385848,0.22093506,0.3359376,0.44627437,0.51309067,0.51999223,0.4837445,0.4358066,0.40012538,0.3818924,0.37487057,0.3706646,0.36469075,0.3564072,0.34797454,0.3417572,0.33820292,0.33537957,0.33082917,0.3237145,0.31610683,0.3111179,0.31140372,0.31703404,0.3267347,0.33589256,0.33869806,0.3280773,0.30373824,0.27124757,0.24202533,0.2227693,0.2147093,0.21220215,0.20965375,0.20322038,0.19357485,0.18371458,0.17868453,0.18518238,0.21365254,0.27322468,0.36130702,0.45487347,0.5200817,0.5351954,0.50646996,0.46075216,0.42344543,0.4044082,0.40050006,0.40527856,0.4151901,0.42829058,0.4429994,0.4561697,0.46497878,0.46724665,0.46257913,0.45011887,0.42714787,0.3906895,0.3425299,0.2950506,0.2695514,0.28738785,0.35323167,0.44604802,0.5260149,0.55936235,0.5401036,0.4898927,0.43859708,0.4032904,0.38472128,0.37447572,0.36537477,0.35445407,0.34285557,0.3331419,0.3272226,0.32511958,0.32476166,0.32343766,0.31893286,0.3110371,0.3009578,0.29174057,0.28663608,0.289066,0.2968472,0.30238643,0.29344177,0.26553655,0.22443311,0.18504222,0.1585033,0.14777339,0.14693187,0.14797409,0.14469768,0.13599665,0.1246022,0.11563521,0.113739766,0.122858495,0.1442934,0.17503862,0.20653003,0.22867431,0.23618953,0.232215,0.22593786,0.22590166,0.23568618,0.25291643,0.27286747,0.2914944,0.30796838,0.32326004,0.3386592,0.35354325,0.36649582,0.37468752,0.37405285,0.3583423,0.32386062,0.2745609,0.22474061,0.19247507,0.19001485,0.21607105,0.25631112,0.28998908,0.30086902,0.28532422,0.2527999,0.21744943,0.18831162,0.16636942,0.14796366,0.13060309,0.113931514,0.09939685,0.087991685,0.08063402,0.077360965,0.07743764,0.07867437,0.07838547,0.07495731,0.06896383,0.06379836,0.063750535,0.072887145,0.08940965,0.106341444,0.112236015,0.10274736,0.081521906,0.060235217,0.047454853,0.047594175,0.058731545,0.075942315,0.090487294,0.09462278,0.085450344,0.0683407,0.05265132,0.047257006,0.05550758,0.07546186,0.100184955,0.1222289,0.13625734,0.14201064,0.14205773,0.13993852,0.13751148,0.13538943,0.13347542,0.13212933,0.13251464,0.13582881,0.14358066,0.15666805,0.17532474,0.19561797,0.21068262,0.2150351,0.21205316,0.21289164,0.22713833,0.2544863,0.2851015,0.30985773,0.32539567,0.33445147,0.33898106,0.33930573,0.33396128,0.32336262,0.30961084,0.29710564,0.29032934,0.29109395,0.29679632,0.30132508,0.3008207,0.29405522,0.28270462,0.26641762,0.24566476,0.22193776,0.20039177,0.18680757,0.18610166,0.19903755,0.22094536,0.24225803,0.25283805,0.24738275,0.228653,0.20699139,0.19561993,0.20354454,0.2288901,0.25883266,0.27719,0.27469936,0.25364217,0.2249213,0.20151584,0.19334213,0.20340858,0.22638385,0.24973248,0.26022553,0.2507271,0.22402038,0.18972363,0.15853658,0.13685948,0.12553348,0.12149025,0.12099802,0.12144194,0.121780045,0.12173358,0.121544234,0.121540196,0.12189827,0.122453995,0.12334392,0.1258384,0.13166432,0.14164464,0.15458518,0.16930892,0.18595321,0.20591486,0.22828437,0.24935143,0.2641792,0.27103648,0.27168104,0.27036074,0.27030227,0.2728093,0.2764219,0.27828923,0.2754606,0.26667163,0.25279802,0.23601265,0.21792401,0.19833322,0.1762665,0.15286194,0.13342352,0.12569629,0.13479193,0.15912028,0.19015835,0.21728961,0.23287345,0.23526233,0.22699694,0.21127766,0.1905603,0.16811132,0.15117513,0.14755704,0.16062789,0.18342249,0.20451277,0.21339275,0.20778102,0.18973146,0.16623677,0.14524764,0.13658158,0.14454524,0.16615564,0.19000156,0.20435388,0.20254512,0.18637072,0.16251725,0.13812916,0.11733777,0.101251654,0.089417435,0.081115484,0.07566636,0.0723176,0.07035112,0.06911356,0.06819459,0.06727318,0.066337876,0.06568468,0.066456266,0.07080206,0.0813534,0.09905374,0.12145711,0.14335911,0.15967083,0.16810012,0.16911279,0.16614313,0.16454405,0.17096584,0.18776584,0.21061213,0.2288437,0.2342545,0.22578488,0.210769,0.19780822,0.19300832,0.19720119,0.20817696,0.22117235,0.23156844,0.23629184,0.23588176,0.23231862,0.22679634,0.21744776,0.20240521,0.1833394,0.16709244,0.16066736,0.1647371,0.17206226,0.1734473,0.16450608,0.14736255,0.12700343,0.10936042,0.10041227,0.10547692,0.12548856,0.15508251,0.18402773,0.20207681,0.20416732,0.19299662,0.17716493,0.16529985,0.16077638,0.1606407,0.16040163,0.15884955,0.15982534,0.16756095,0.18155825,0.1949927,0.1990024,0.18930276,0.16850643,0.1450837,0.12749857,0.12176404,0.12853526,0.14554319,0.16763009,0.19007319,0.20825957,0.21958353,0.22200184,0.2151797,0.20026042,0.18110661,0.16321422,0.1513531,0.147025,0.1472001,0.14742006,0.14468287,0.14002502,0.13537633,0.13135242,0.12576008,0.117505185,0.10918557,0.106799096,0.11455283,0.13082756,0.15009741,0.16845636,0.18609951,0.20240678,0.21195082,0.20757423,0.18938804,0.16658531,0.15084203,0.14653295,0.15027441,0.15526223,0.15711965,0.15378314,0.14562692,0.13445742,0.12477702,0.12196372,0.13043809,0.14964664,0.1736006,0.19283016,0.200561,0.19591427,0.18382393,0.17021482,0.15906651,0.15111928,0.14554453,0.14102578,0.13677584,0.13246873,0.12934615,0.13022828,0.1395064,0.15682606,0.17578505,0.18421854,0.17761303,0.16157217,0.1508107,0.1539793,0.17068481,0.19206268,0.21018346,0.22049338,0.22272187,0.21844827,0.21033196,0.20062959,0.19055891,0.18017344,0.17045496,0.16432752,0.16540259,0.17391358,0.18532269,0.19301946,0.19328253,0.18708478,0.17811345,0.16958112,0.16277266,0.15727083,0.15278713,0.15091002,0.15584622,0.16983473,0.18779464,0.1968051,0.18549995,0.15450016,0.1162492,0.08518231,0.067126565,0.05963771,0.05710337,0.056067232,0.05515844,0.05412959,0.05300216,0.052472334,0.054261383,0.061166327,0.07515124,0.09556002,0.11769884,0.13616738,0.14791864,0.1553074,0.16296977,0.17467958,0.18933475,0.2021954,0.20714249,0.20139535,0.18728952,0.17303176,0.16826512,0.17965083,0.2031743,0.22609758,0.23189282,0.21573222,0.18595742,0.16065346,0.15061073,0.1558824,0.16651876,0.17393798,0.17387302,0.16812249,0.15976477,0.15243624,0.14853667,0.15009089,0.15687618,0.1662646,0.17409362,0.17774601,0.17703253,0.17306392,0.16694026,0.16001768,0.15510087,0.1545472,0.15880942,0.1648492,0.16939206,0.17229629,0.178177,0.19374342,0.2197799,0.24869756,0.26643822,0.26481226,0.24610633,0.22180788,0.2016837,0.18830083,0.1775804,0.1645018,0.14824255,0.13252112,0.12351555,0.12420225,0.13314123,0.14502515,0.15600397,0.16470008,0.17195733,0.17769136,0.18073772,0.17962609,0.17379253,0.16417982,0.15305857,0.14390935,0.13970315,0.141068,0.1455388,0.14870597,0.14883272,0.14847733,0.1548387,0.16947794,0.18576108,0.18851767,0.1710357,0.1380787,0.105617024,0.084665895,0.07911985,0.08475121,0.09621931,0.10740926,0.11426259,0.11509973,0.11141164,0.10553622,0.099527396,0.09450281,0.091080755,0.08907682,0.08777195,0.086317934,0.08442423,0.08223926,0.08009968,0.07815108,0.07642877,0.074940175,0.07380418,0.07306776,0.07395051,0.07941025,0.09437376,0.119168915,0.14633171,0.1606419,0.15254964,0.12485031,0.09245065,0.06872612,0.058730323,0.058958214,0.06394056,0.06912535,0.07174004,0.070354335,0.06589534,0.061367095,0.061090957,0.068105735,0.08249834,0.10036314,0.11589613,0.12442354,0.12504882,0.12023426,0.11348369,0.10721796,0.10212808,0.09804911,0.09457326,0.091558374,0.088858835,0.08647623,0.08439273,0.08275186,0.08151954,0.08050734,0.07932669,0.0778414,0.076255485,0.075163834,0.07504516,0.07600505,0.077079296,0.07663699,0.07290552,0.065683216,0.056339975,0.047264706,0.040109333,0.03544161,0.032913726,0.031902835,0.031692583,0.031595733,0.031145701,0.03021443,0.028946793,0.027567076,0.02627866,0.025220692,0.024478918,0.024053074,0.024365695,0.027215904,0.036899015,0.05873565,0.095544,0.14311671,0.19131441,0.2286395,0.24963403,0.2557763,0.25386867,0.24999563,0.24776925,0.24679895,0.24543844,0.24178831,0.2358466,0.23043568,0.23388772,0.26072076,0.32417282,0.42266354,0.5294619,0.6059379,0.62609744,0.59687877,0.5462702,0.50154895,0.47140312,0.45246515,0.4389604,0.43020234,0.42728242,0.43042085,0.43731964,0.4442104,0.44623303,0.43742096,0.4134841,0.37578487,0.33417702,0.30200037,0.29041556,0.30506217,0.3487397,0.41815576,0.49817848,0.5609614,0.58090234,0.5530115,0.49664295,0.44060156,0.4033041,0.38652644,0.38077688,0.3763275,0.36801147,0.35663232,0.3449475,0.33538643,0.3275551,0.32006606,0.31157246,0.30239877,0.29365578,0.28672376,0.28349423,0.28693652,0.30077812,0.32385135,0.34770975,0.3578923,0.3464714,0.31739447,0.28546783,0.26318803,0.2543969,0.25362772,0.2545017,0.25586283,0.26428738,0.28559592,0.3175896,0.34986326,0.37998414,0.41907325,0.47942755,0.54959846,0.5957463,0.5892375,0.53442323,0.4636308,0.41021597,0.38706377,0.3879482,0.3990176,0.4090216,0.41109118,0.4037459,0.38969246,0.3752712,0.36379424,0.35137177,0.32666224,0.28247383,0.22353967,0.16667388,0.1309274,0.13269581,0.18261087,0.27898988,0.39721763,0.49437454,0.532942,0.5078483,0.44655693,0.38660505,0.34994486,0.3381109,0.34109136,0.34822258,0.3530358,0.3531493,0.350163,0.34682727,0.3459305,0.34774938,0.3508167,0.35253033,0.35148785,0.34881696,0.34801713,0.3527553,0.3631967,0.37363634,0.37443188,0.3582566,0.32668152,0.28954372,0.25818256,0.2383786,0.2295142,0.22781233,0.22877975,0.22831254,0.22406083,0.21673119,0.21187116,0.21925066,0.25307396,0.32071504,0.41368088,0.5007829,0.5495807,0.54571766,0.5058711,0.4585007,0.42618236,0.41402367,0.41680852,0.426159,0.43591547,0.44314793,0.44809493,0.45247877,0.45726696,0.46066466,0.45878235,0.44673392,0.42168403,0.38407728,0.34086546,0.306159,0.30021048,0.33814678,0.41691008,0.5076181,0.57084495,0.58016545,0.5407088,0.4789437,0.42358717,0.3877218,0.3713927,0.36781576,0.37011254,0.3718268,0.36809912,0.35802555,0.34485033,0.33378708,0.32758296,0.3252292,0.32381666,0.3213136,0.31834194,0.31759027,0.3226424,0.33434948,0.3468928,0.3486785,0.3293568,0.29007646,0.24300055,0.20386301,0.18055588,0.1721509,0.1721986,0.17653845,0.18615802,0.20770645,0.24292187,0.28539672,0.32259634,0.35698953,0.40227354,0.4692665,0.5378961,0.57338,0.5534906,0.4937543,0.42875686,0.38603044,0.37015772,0.37132326,0.37844798,0.3854672,0.39114574,0.39569223,0.39971712,0.40400234,0.408757,0.41225076,0.4079895,0.38833132,0.3493893,0.29905552,0.2563363,0.24601388,0.28398138,0.3651602,0.4585092,0.5229097,0.5310449,0.4880363,0.42280304,0.36642662,0.33234164,0.31725013,0.3111761,0.30751622,0.3040885,0.30116773,0.2994212,0.2999675,0.3035842,0.3093681,0.31446797,0.31637695,0.31564417,0.31469575,0.31596875,0.32088605,0.33159962,0.34779477,0.36343434,0.36743507,0.35347816,0.32584047,0.29636946,0.27386615,0.25975093,0.25072053,0.24418783,0.23953646,0.23682077,0.23622358,0.24107571,0.26074705,0.3102155,0.39676118,0.50738853,0.6045715,0.65078753,0.6331189,0.5743305,0.5102888,0.46632707,0.4452441,0.4373244,0.43164206,0.4238516,0.41458997,0.4075066,0.40462887,0.4058225,0.40594628,0.3979733,0.37561783,0.34109104,0.3036425,0.27677685,0.27066672,0.29418603,0.3499048,0.43107,0.51185876,0.5614939,0.5589979,0.5129689,0.44943687,0.39703855,0.36699376,0.35594085,0.35255745,0.34885737,0.34236455,0.33495054,0.32883134,0.32464716,0.3213798,0.3175452,0.31203917,0.30490664,0.29705894,0.29098043,0.2905065,0.3008407,0.32357982,0.35235026,0.37221202,0.36952356,0.34233046,0.30212212,0.26479176,0.23977982,0.22801758,0.22517665,0.22867613,0.23909242,0.2593793,0.28705096,0.31572536,0.34184197,0.37770715,0.4391705,0.52493113,0.60141796,0.62856406,0.5923877,0.5182882,0.44597507,0.40161863,0.3871883,0.3911165,0.39968798,0.40478206,0.4034336,0.39744195,0.38872775,0.3790135,0.3653908,0.34238264,0.3024198,0.24638659,0.18384194,0.13358381,0.113907106,0.14342277,0.22944982,0.35976458,0.4917934,0.57633656,0.58547944,0.5348716,0.4638166,0.40845135,0.3807715,0.37517762,0.37986442,0.38728836,0.3942783,0.40060213,0.40573683,0.40892482,0.40942833,0.40746772,0.40435305,0.40101048,0.3979567,0.39430675,0.3909258,0.38972804,0.3923243,0.39436838,0.38710633,0.3641913,0.32891122,0.29253674,0.26444682,0.24701536,0.23570065,0.22678524,0.21812372,0.21071291,0.20474942,0.20141138,0.2042156,0.22312911,0.27192882,0.3546971,0.4539425,0.53263324,0.56066483,0.5354772,0.48336506,0.4353294,0.40813264,0.40011135,0.40145537,0.40412068,0.40590534,0.40865126,0.4143113,0.4219738,0.42898428,0.43146443,0.42563245,0.40659356,0.3726093,0.32758382,0.2850176,0.26401696,0.2846601,0.3534381,0.45453033,0.5481368,0.59508616,0.5800372,0.5230308,0.4581146,0.41097966,0.38542962,0.37293246,0.36278555,0.35056984,0.33654284,0.32386303,0.31463912,0.30943,0.30687904,0.30523208,0.3028104,0.29901233,0.29409385,0.29012206,0.2902479,0.29881355,0.3152227,0.33205244,0.33431837,0.3127855,0.26947397,0.21953927,0.17741467,0.15094459,0.13823937,0.13390505,0.1318302,0.12873106,0.1245342,0.1219773,0.12443266,0.13478477,0.15444952,0.18184231,0.21098344,0.2335899,0.24435626,0.24458057,0.24092041,0.23978508,0.24346197,0.24979164,0.25589654,0.26136693,0.2682787,0.27807352,0.2890965,0.29771522,0.30186605,0.30128646,0.29558432,0.28105143,0.25433645,0.21668094,0.17809057,0.15237501,0.15051477,0.17211068,0.2063028,0.23605818,0.24970974,0.24454682,0.22753656,0.20688023,0.18842377,0.17369866,0.16255617,0.15422578,0.14709519,0.13950965,0.13030885,0.12067053,0.11270001,0.10850736,0.10793931,0.10926506,0.109935604,0.108675115,0.10643661,0.10617033,0.11150346,0.12249899,0.13492514,0.14072514,0.1357217,0.12143687,0.10504416,0.09221371,0.08525685,0.08303269,0.0837982,0.08575878,0.08719138,0.0867913,0.08442899,0.08111384,0.07813772,0.07599079,0.07439032,0.07279736,0.07114031,0.0696206,0.068384714,0.067240655,0.065954514,0.064560495,0.063290104,0.0623531,0.061513875,0.060465664,0.05888234,0.056905568,0.054647133,0.052336905,0.050026994,0.04795065,0.046240877,0.04487464,0.043579344,0.04206975,0.040355925,0.038623117,0.037154462,0.03596477,0.03500401,0.03410529,0.03326589,0.03237402,0.03118811,0.029118562,0.02568472,0.020886093,0.015552182,0.010829188,0.0075603984,0.0058179186,0.005153756,0.0050191074,0.005060623,0.0051281177,0.005178885,0.00523201,0.0053238645,0.0054914695,0.0057253917,0.0059727724,0.0061458168,0.0061842226,0.006080815,0.0059033297,0.0057325684,0.0056305225,0.005599739,0.0056235897,0.0056698415,0.0057100137,0.005691923,0.0055699893,0.0053056017,0.004914006,0.0044549075,0.0040608104,0.0038698488]