[0.0002538195,0.0013342298,0.0062718387,0.019953059,0.046455253,0.084969796,0.12761217,0.16366023,0.18605502,0.19505876,0.19591391,0.1937446,0.19116174,0.18831132,0.18517293,0.18191516,0.17929219,0.17753716,0.17675054,0.17683838,0.17812614,0.18062377,0.18364768,0.18558444,0.18495183,0.18121938,0.17534597,0.16900694,0.16371804,0.1598082,0.15659489,0.15306067,0.14908637,0.1460139,0.1463808,0.1525066,0.1643856,0.17898981,0.1914957,0.1987965,0.20081735,0.19983058,0.19746786,0.19419628,0.19004036,0.18591945,0.18294604,0.18130524,0.17999206,0.1780171,0.17535245,0.1727265,0.1703927,0.16800292,0.16546728,0.16422576,0.16646658,0.17284341,0.1810931,0.18694215,0.18763167,0.18318057,0.17625977,0.16925724,0.16349274,0.15883149,0.15516262,0.15272313,0.15223914,0.1536857,0.156083,0.15760224,0.15730669,0.15545343,0.15360993,0.15315898,0.15499559,0.15853697,0.16214128,0.16318905,0.16025734,0.15376455,0.14611237,0.13930267,0.13398688,0.12988563,0.1278326,0.13095945,0.14255716,0.16296764,0.18710591,0.2075779,0.21891119,0.22094233,0.21714891,0.21184187,0.207869,0.20615269,0.20616406,0.20663333,0.20684056,0.20697467,0.20812105,0.21101756,0.21549988,0.22009529,0.22298437,0.22318554,0.22136278,0.21939309,0.21849139,0.21833175,0.21705244,0.21359374,0.20862108,0.20455815,0.20352916,0.20628339,0.21226378,0.22009522,0.2280432,0.23370546,0.23520094,0.23207442,0.22589101,0.21888657,0.21256684,0.20741707,0.2032881,0.2000453,0.19716471,0.19414477,0.19070709,0.18741131,0.18492013,0.1833319,0.1818137,0.17938937,0.17585766,0.17201968,0.1690455,0.16732152,0.16613841,0.16415335,0.16079018,0.15659867,0.15288669,0.15043165,0.14937769,0.14944483,0.1508173,0.15359335,0.15748125,0.16098882,0.16256356,0.16145927,0.1587321,0.15613575,0.15502162,0.15560727,0.15802054,0.16270252,0.17001069,0.17847492,0.18536465,0.18832885,0.18763095,0.18509239,0.18235366,0.18015462,0.18084417,0.19036047,0.21582536,0.25852552,0.30905387,0.35060725,0.36976877,0.36401835,0.34129572,0.31192866,0.28319636,0.2576935,0.23567003,0.21666147,0.20028765,0.18675697,0.17654563,0.17032357,0.1674452,0.16600055,0.16322367,0.15810907,0.15216792,0.1489392,0.15067275,0.156641,0.1629592,0.16565607,0.16290101,0.15605116,0.14829652,0.14313568,0.14362986,0.15094204,0.1639023,0.17793244,0.18823344,0.1916197,0.18899356,0.18290389,0.17619212,0.17004395,0.1648513,0.16038914,0.15649335,0.15285586,0.14930427,0.14581473,0.14263102,0.14001007,0.13794877,0.13613419,0.1341774,0.13190405,0.12932813,0.12647133,0.12326371,0.119721584,0.11610117,0.11280539,0.11017265,0.108051576,0.10624722,0.105763845,0.11106434,0.12970726,0.16700442,0.21892624,0.26994926,0.30198818,0.30549112,0.2849783,0.25268698,0.22012383,0.19320983,0.17359512,0.16086368,0.1534066,0.14858542,0.14367437,0.13728786,0.12970515,0.1218253,0.11517247,0.112900436,0.1218315,0.14765877,0.18991458,0.23653208,0.27253452,0.28806794,0.28593272,0.27468106,0.26261887,0.25269583,0.24483056,0.23780386,0.23077135,0.22343527,0.21613486,0.20966703,0.204413,0.199561,0.19349933,0.18552224,0.17745258,0.17309791,0.17492634,0.18184835,0.18890186,0.19176354,0.18864174,0.18153757,0.17273472,0.1643895,0.15819512,0.15722246,0.16430473,0.17966996,0.19870031,0.21437538,0.22146393,0.21976398,0.21282195,0.20479642,0.19822468,0.193982,0.19211878,0.19218858,0.19319509,0.1936944,0.19241531,0.1889164,0.1838033,0.17792447,0.1716951,0.16521877,0.15982439,0.15894704,0.16618635,0.18197723,0.20148246,0.2177757,0.22604324,0.22632362,0.22137399,0.21477978,0.21038496,0.21352927,0.22801185,0.2523389,0.2772515,0.29244554,0.29329726,0.28391397,0.2714472,0.26046655,0.25237903,0.24814714,0.25039628,0.2603638,0.27535298,0.28903356,0.29614696,0.29625106,0.29260883,0.2888759,0.28704968,0.2905806,0.3061601,0.34100115,0.39431247,0.45349863,0.49964666,0.5207064,0.5180169,0.5033807,0.48820698,0.47786066,0.46998322,0.45904467,0.44007376,0.41396978,0.38686362,0.36720547,0.35864568,0.35911682,0.3619528,0.3612292,0.35379973,0.34070405,0.32610595,0.314811,0.3096393,0.3094896,0.3109968,0.31060332,0.30675063,0.29990003,0.2923884,0.28750917,0.2884246,0.29529622,0.30499792,0.31146768,0.31136522,0.30459067,0.29549038,0.28703585,0.28066772,0.2748187,0.26839158,0.26112914,0.2542095,0.24888758,0.2457395,0.24456652,0.24514829,0.24730885,0.25103307,0.2555661,0.2600994,0.26357335,0.26545027,0.26559433,0.26467106,0.26396,0.26455948,0.26650265,0.26857468,0.26916742,0.26817036,0.26737264,0.2701011,0.27801862,0.28965116,0.30073845,0.30759424,0.30980805,0.30895683,0.3067468,0.30306214,0.29810897,0.29327485,0.29081345,0.2919211,0.29515332,0.2977144,0.29657045,0.2906848,0.28064844,0.268497,0.25668976,0.24797018,0.2447949,0.24778755,0.25493857,0.26217902,0.2664851,0.26759687,0.26803017,0.2707764,0.27713874,0.2857555,0.29330447,0.29753628,0.29964492,0.30386046,0.3132693,0.326155,0.33700475,0.3409796,0.33796075,0.33175588,0.32690087,0.3258048,0.32847783,0.3336216,0.3389591,0.3420988,0.34125674,0.33717766,0.33273867,0.33142272,0.33514857,0.34403253,0.35679913,0.37105703,0.38322005,0.3903878,0.3918685,0.38985288,0.38640514,0.38200995,0.3751991,0.36549947,0.35453594,0.3459653,0.34241462,0.34358898,0.34605643,0.34629467,0.3429943,0.3374009,0.33066723,0.32264057,0.31248727,0.30150902,0.2931051,0.29067138,0.29378548,0.2982224,0.2989647,0.29589462,0.29477176,0.30415165,0.32674673,0.35703635,0.3829776,0.39604905,0.39439252,0.38370577,0.36951804,0.3557465,0.34284607,0.33304742,0.32913628,0.3343092,0.3464091,0.35946882,0.3661786,0.36429772,0.35656452,0.34772858,0.34081852,0.33674565,0.3366597,0.3415676,0.35206577,0.36621454,0.3808333,0.39158228,0.395126,0.39008713,0.37840417,0.36394623,0.35052744,0.33974728,0.33087957,0.32134303,0.3080847,0.28930977,0.26616815,0.24311697,0.22528325,0.21569501,0.21326648,0.21478069,0.21710448,0.21969633,0.22359692,0.22985184,0.23715006,0.24261819,0.24344571,0.23924883,0.23163982,0.22413148,0.22067307,0.22600533,0.24159287,0.26482764,0.2871751,0.30136892,0.3038226,0.29784748,0.28795126,0.27787182,0.26827034,0.2587417,0.24858977,0.23759024,0.22623928,0.21573502,0.20757486,0.20250572,0.20017803,0.19958444,0.19996281,0.20097679,0.20236702,0.20383511,0.2051711,0.20650293,0.20778118,0.20877285,0.20903414,0.2085613,0.20806609,0.20945014,0.21587034,0.22987324,0.2508342,0.2734026,0.29052165,0.29791653,0.2961912,0.2891123,0.27993506,0.27048457,0.26083437,0.2508271,0.24003528,0.22881925,0.21801464,0.20901318,0.2029999,0.20055366,0.20116313,0.20331806,0.20658743,0.2132538,0.2285562,0.25477538,0.28781202,0.31663188,0.33222166,0.33197272,0.32070053,0.30410948,0.28588924,0.267481,0.24965519,0.2335648,0.21978818,0.20907126,0.20161496,0.19769736,0.19648932,0.19663613,0.1964078,0.19514261,0.19305603,0.19141608,0.19103463,0.19260137,0.19532646,0.19850214,0.20036636,0.20054781,0.19843696,0.19602323,0.19570945,0.20243222,0.21800695,0.241069,0.2634901,0.27766708,0.27887222,0.26994392,0.2561461,0.2429875,0.23223598,0.22346707,0.21462362,0.20477062,0.19412029,0.18453453,0.17728193,0.1730641,0.17096408,0.17017968,0.16975671,0.1702162,0.17278276,0.17955239,0.19076073,0.20420216,0.21506394,0.21958013,0.21659054,0.20837565,0.19827044,0.19068621,0.1905766,0.20318116,0.22930308,0.26308882,0.29283476,0.30927822,0.31019214,0.30119908,0.28907987,0.2781231,0.26829234,0.2575983,0.2435048,0.22520487,0.20446204,0.18541408,0.17214572,0.16640143,0.16773836,0.17597379,0.19410646,0.22746938,0.27813366,0.33987525,0.3978907,0.43829706,0.45530033,0.4543034,0.44449654,0.4340954,0.4273044,0.42658496,0.4321998,0.44250473,0.45342243,0.46169457,0.46585536,0.46733245,0.46784964,0.46925429,0.47212163,0.47594973,0.47778216,0.47391915,0.462356,0.4459412,0.43054864,0.42140174,0.41906592,0.4206458,0.4224232,0.42316604,0.4234612,0.42466977,0.42591372,0.42460442,0.41746593,0.40477443,0.3903451,0.3795155,0.3742343,0.37264,0.37162617,0.3705206,0.3706262,0.3724645,0.3736556,0.37044024,0.35993648,0.3416425,0.31747854,0.29255605,0.2748386,0.2722497,0.28758574,0.31595415,0.34701028,0.3709629,0.38328382,0.3859494,0.38441297,0.38356897,0.38524994,0.38857463,0.39255175,0.3971075,0.4034802,0.41194153,0.4221088,0.43245342,0.4420782,0.4493144,0.45144188,0.44473454,0.4287347,0.40909,0.39541396,0.39339963,0.39990795,0.4064597,0.40787724,0.4062015,0.40683308,0.41224158,0.42021456,0.426649,0.42864296,0.42469093,0.41333082,0.3930144,0.36393508,0.32959172,0.2955728,0.26665586,0.24453007,0.22837037,0.21621932,0.20629895,0.19706522,0.18745331,0.17709817,0.16649386,0.15674393,0.14890283,0.14337252,0.13964383,0.13652235,0.13305014,0.12890719,0.12473786,0.1213531,0.1195527,0.11955419,0.12111875,0.123299696,0.12543629,0.12839265,0.13543071,0.1497403,0.17079496,0.19302957,0.20992136,0.21963133,0.22561097,0.23246582,0.24066639,0.2477669,0.2521548,0.25756267,0.27027372,0.2940506,0.3247272,0.35331023,0.37228024,0.38091567,0.38300443,0.38153902,0.37501988,0.35835055,0.32781628,0.28544146,0.24065699,0.20542938,0.1894765,0.19662343,0.22483452,0.26596746,0.30756292,0.3388261,0.3565614,0.36595154,0.3745372,0.3863282,0.40062913,0.41255423,0.414291,0.39772165,0.36033806,0.30939505,0.2575334,0.21493165,0.1845537,0.16694124,0.16538973,0.1849953,0.22534485,0.27621096,0.321979,0.35185587,0.36545685,0.37138316,0.37758675,0.3862209,0.39158526,0.38818088,0.37467209,0.35637382,0.3383312,0.32241645,0.30647877,0.2904804,0.27874732,0.2784485,0.29247114,0.31606635,0.33903506,0.35354686,0.35818967,0.35737744,0.35558966,0.35483047,0.35349163,0.3491107,0.33946303,0.32444838,0.3055621,0.2853251,0.26602638,0.24905556,0.23561315,0.22691698,0.22532731,0.23203427,0.24584138,0.261112,0.27152005,0.2733167,0.26817328,0.26028267,0.25314274,0.24768837,0.2432881,0.23927428,0.23496644,0.23002683,0.22418945,0.2184204,0.21383965,0.21157919,0.21125583,0.2120216,0.21261233,0.2125339,0.21170223,0.21044439,0.20911217,0.20774454,0.20636176,0.2047016,0.20283626,0.2008902,0.1997803,0.20108318,0.20672955,0.21748567,0.23164515,0.24539335,0.25471598,0.25784996,0.2555891,0.2502571,0.24372105,0.23700738,0.23031414,0.22388059,0.2177815,0.21207649,0.20661654,0.20157702,0.19715615,0.19309045,0.18831068,0.18325996,0.18234096,0.19452839,0.22565939,0.2723379,0.31883094,0.34968057,0.35724196,0.34763017,0.3293879,0.30989683,0.29016194,0.27149937,0.25427765,0.24060182,0.23039444,0.2240147,0.22032817,0.21899204,0.21827327,0.21702723,0.21401589,0.20963313,0.20459606,0.20025356,0.19801204,0.20014004,0.20862657,0.22372638,0.24254592,0.2602419,0.27323797,0.28197297,0.29207677,0.30988863,0.33813033,0.37104034,0.39955893,0.416636,0.42362896,0.42582452,0.42731825,0.4262928,0.4184425,0.40259346,0.38390017,0.37124124,0.37095892,0.38359475,0.4045917,0.42781797,0.44816014,0.46246877,0.4697983,0.47002164,0.46318364,0.44932964,0.4303427,0.4103438,0.39429983,0.38564345,0.38507828,0.3903254,0.39716503,0.40062997,0.39980027,0.3973678,0.39961168,0.40820658,0.42224982,0.43671897,0.44951078,0.45840657,0.46393847,0.46601677,0.46584308,0.46266004,0.4552523,0.44213942,0.4247807,0.40655422,0.391304,0.380578,0.37405002,0.37072662,0.3699478,0.37072828,0.37091318,0.3684405,0.36292902,0.35643613,0.3510224,0.34663168,0.34074485,0.33016372,0.31335643,0.29116714,0.26719502,0.24552912,0.22902477,0.21713828,0.20763277,0.19810398,0.18832697,0.17914303,0.17175381,0.16610582,0.16138698,0.15686542,0.1523493,0.14848733,0.1453684,0.14297844,0.14060336,0.13808304,0.13611531,0.13672781,0.14314759,0.15728824,0.17807712,0.19989367,0.2158903,0.22192903,0.21898033,0.21173702,0.20416953,0.1979577,0.19190402,0.18477328,0.17587262,0.16584212,0.15567847,0.14649162,0.13897552,0.13320683,0.12850448,0.12405003,0.11949262,0.11545483,0.113020726,0.11318553,0.11600844,0.120583214,0.12527545,0.1290543,0.13192426,0.13492054,0.1401718,0.15150358,0.17586325,0.21771605,0.27497584,0.33363366,0.3789004,0.4023387,0.41015497,0.41278908,0.41891363,0.42859468,0.438485,0.44393075,0.4427222,0.43440786,0.4217811,0.40910533,0.4008291,0.39808777,0.39884707,0.3991972,0.39693117,0.3928467,0.38935938,0.38749054,0.38500404,0.3787824,0.36807683,0.35618028,0.3479463,0.34599242,0.3494382,0.35498026,0.3600595,0.36321902,0.36415026,0.36234057,0.358776,0.35552672,0.35557488,0.35891542,0.36359206,0.36635244,0.3665928,0.36508784,0.36333954,0.3618923,0.36063114,0.35961625,0.35851815,0.35695156,0.35369524,0.3481958,0.3418634,0.33790645,0.33936033,0.34541833,0.35257766,0.35718825,0.35862496,0.35819432,0.35652772,0.3529589,0.3457378,0.3338748,0.31714657,0.29692337,0.2754843,0.25520733,0.23731102,0.22196805,0.20889892,0.19846134,0.19201134,0.19216393,0.20206332,0.22186331,0.24683921,0.2666825,0.2730732,0.26384813,0.2455767,0.22672491,0.21397994,0.21041898,0.21867688,0.23968954,0.27101228,0.30392435,0.32921788,0.34077892,0.3394117,0.32774985,0.30916116,0.28797305,0.27173042,0.26871267,0.28122613,0.30343542,0.3240697,0.3347191,0.33291623,0.3219467,0.3060874,0.28970465,0.2766497,0.27297223,0.28277525,0.3061373,0.3341373,0.35632125,0.36512908,0.36243272,0.3539014,0.345246,0.3384267,0.33293843,0.328141,0.32350567,0.3194308,0.31571278,0.31211022,0.3082793,0.30435872,0.30097377,0.2984154,0.29632106,0.29411027,0.2912213,0.2883824,0.28602758,0.28471136,0.28349105,0.28157842,0.2787069,0.27550033,0.27322483,0.27266297,0.27494904,0.2798595,0.28581718,0.28918603,0.28741232,0.2806767,0.27209756,0.26449668,0.2589176,0.25426587,0.24976934,0.24507122,0.24081177,0.23707588,0.23379226,0.23063539,0.22769268,0.2254379,0.22437985,0.2243862,0.22490494,0.22474706,0.22378038,0.22195624,0.22024839,0.21879824,0.21790414,0.21745531,0.21726578,0.21722502,0.21725757,0.21858011,0.22217989,0.22811683,0.2339647,0.23664312,0.23439825,0.22788674,0.21941663,0.21122168,0.2046703,0.19997434,0.19649655,0.19340473,0.1900326,0.18618107,0.18200642,0.17774487,0.17385142,0.1705495,0.16860533,0.1691318,0.1738962,0.18319283,0.19476974,0.20353125,0.20524192,0.19895637,0.1880515,0.17661957,0.16733527,0.16019385,0.15416919,0.14835523,0.14255725,0.13751605,0.133922,0.13236846,0.13241184,0.13343501,0.13454781,0.13525914,0.1353973,0.13521367,0.13514136,0.13525869,0.1352561,0.13464946,0.13332863,0.13145152,0.1292926,0.12692206,0.12535223,0.12693112,0.13597567,0.15481986,0.18179174,0.20886953,0.22803192,0.23459768,0.23135583,0.22301258,0.21423106,0.20606266,0.19898868,0.19253789,0.18675666,0.18098487,0.17506857,0.1692632,0.16428305,0.16040914,0.15803947,0.15963306,0.17129035,0.19994575,0.2468338,0.30160785,0.34534815,0.36108997,0.3450427,0.30780283,0.26600453,0.23216255,0.2120574,0.20861642,0.22478336,0.25918114,0.3022945,0.338931,0.3597144,0.36493766,0.36083388,0.34939387,0.3304137,0.30674568,0.28812397,0.28167263,0.28498438,0.28718278,0.28026304,0.26461056,0.24608134,0.22850133,0.21433192,0.20968997,0.22831385,0.2796396,0.35723197,0.433144,0.4783593,0.47992328,0.45007625,0.410267,0.37847635,0.36123964,0.357831,0.36353198,0.37275323,0.38146767,0.38769507,0.39167774,0.392409,0.38792375,0.37509075,0.354076,0.32996115,0.31263307,0.31156886,0.32959148,0.3610413,0.39467266,0.4210995,0.43614873,0.44146454,0.4406127,0.43885744,0.4414486,0.45365644,0.4722782,0.48624933,0.47867975,0.4446979,0.39297274,0.34339842,0.30890235,0.292169,0.28694642,0.28777906,0.29332125,0.3049345,0.32291055,0.34346378,0.3610185,0.3713461,0.37425753,0.37215498,0.3681238,0.36533847,0.36721864,0.3760979,0.39090288,0.40655193,0.41763172,0.42105353,0.41711816,0.40577158,0.38831696,0.3686825,0.35762456,0.36399868,0.390025,0.42409602,0.452693,0.46547255,0.4644928,0.45620295,0.44830835,0.44226047,0.43550158,0.42428374,0.40882948,0.39383996,0.3850945,0.3847077,0.3898392,0.39478314,0.3956131,0.39301482,0.39348796,0.40646127,0.43621835,0.47585058,0.5068391,0.5138093,0.49417648,0.46040437,0.4250233,0.39336774,0.36351493,0.33526275,0.31241804,0.30015555,0.3013247,0.31459308,0.33584872,0.35849884,0.37671447,0.386241,0.3861866,0.37760127,0.36356044,0.3476883,0.3326502,0.31818047,0.3019277,0.28276426,0.26302204,0.24696374,0.23754884,0.23745044,0.2524533,0.2915057,0.3554722,0.42875114,0.48254272,0.49697027,0.47471192,0.43789518,0.40743968,0.3906822,0.3825947,0.37563166,0.36652207,0.3555244,0.34383893,0.3303949,0.31414053,0.29500294,0.27602494,0.25952724,0.24723667,0.23878168,0.23548256,0.23797762,0.2460835,0.2554187,0.26086292,0.25891998,0.25082284,0.24062973,0.23334785,0.233424,0.2448992,0.26753387,0.29536143,0.3156483,0.31968784,0.30601096,0.28360906,0.2609091,0.2441886,0.23536825,0.23837845,0.25838318,0.29889464,0.35530913,0.4125866,0.4499297,0.4510897,0.41448414,0.35461596,0.29530883,0.25943094,0.26345167,0.31151888,0.39066616,0.4695747,0.51426965,0.5095255,0.46842515,0.41855606,0.38064948,0.35951284,0.35014263,0.34681284,0.34655187,0.34784344,0.35015115,0.35397422,0.36047098,0.3699406,0.38089994,0.39086625,0.3975711,0.39946374,0.39526752,0.38443735,0.3682139,0.35092148,0.33788332,0.3329741,0.33515227,0.3396115,0.34203136,0.34413385,0.35592723,0.38476038,0.42650834,0.46039477,0.46837834,0.4472191,0.41326937,0.38414145,0.368217,0.36243537,0.36089692,0.360255,0.36064434,0.363974,0.3715794,0.3827044,0.39420983,0.4010537,0.39768204,0.38040492,0.35154995,0.32089838,0.30109224,0.29860947,0.30922648,0.3229936,0.33332938,0.34077123,0.34863487,0.3581624,0.36830887,0.37954113,0.39273313,0.40662387,0.41390273,0.40706226,0.38272524,0.3466916,0.30896273,0.27877614,0.25973114,0.2506735,0.25012717,0.25790668,0.27480042,0.29774424,0.32106248,0.33802703,0.34597948,0.34525144,0.33997938,0.33661413,0.34491012,0.3712254,0.41184402,0.44968525,0.4659431,0.4541272,0.42527643,0.3968722,0.3793112,0.37182865,0.36849907,0.36473086,0.3589015,0.35074386,0.34045398,0.32853746,0.31602,0.3044012,0.29527023,0.29000375,0.28887367,0.2913263,0.29600713,0.30113414,0.30457857,0.30465946,0.30151382,0.29686937,0.29300228,0.29084837,0.29200575,0.3008714,0.32605717,0.37161744,0.42935625,0.47645244,0.4922153,0.47213304,0.43292487,0.39631525,0.37639865,0.372635,0.37730154,0.38081774,0.37754586,0.3657739,0.3475164,0.32650355,0.3066295,0.29078114,0.2801064,0.27403054,0.271104,0.26973823,0.26890454,0.26802576,0.26687202,0.26540017,0.26336062,0.2606678,0.25749168,0.25616264,0.26078966,0.27685487,0.3044555,0.3365743,0.3589827,0.36219203,0.346185,0.32148266,0.29845688,0.2821848,0.27192912,0.2666589,0.26949129,0.28597507,0.3193035,0.36387756,0.40771976,0.43898153,0.45357648,0.45335236,0.4422653,0.42384157,0.40623558,0.4000394,0.41167307,0.43297532,0.44758913,0.44351497,0.42315087,0.3970058,0.3732808,0.3545885,0.34180784,0.33811733,0.34546185,0.36133382,0.37698248,0.38298085,0.37383148,0.35225073,0.3263888,0.30541775,0.29485455,0.2964765,0.30995572,0.33290792,0.36015895,0.38471028,0.4021636,0.41303873,0.420782,0.42757908,0.43412006,0.44236267,0.45682895,0.4783326,0.49893165,0.50300115,0.48046687,0.43479586,0.3815287,0.33510125,0.30193946,0.28110075,0.27114734,0.27255562,0.2864469,0.311118,0.3405261,0.3665855,0.38288307,0.38865602,0.38759503,0.3853205,0.38491192,0.38639846,0.38720605,0.38531125,0.38057292,0.3751609,0.37144342,0.37011325,0.37012684,0.37100923,0.37572753,0.38918436,0.41254213,0.43826172,0.45307305,0.44768003,0.4229149,0.38737023,0.3497658,0.31551233,0.2876995,0.26907265,0.26176128,0.26616612,0.27973804,0.2971914,0.31180748,0.3193219,0.31966293,0.31650922,0.3136568,0.31523994,0.32708168,0.35694778,0.4046274,0.45588756,0.48488298,0.47547337,0.43205392,0.3779029,0.3341662,0.30966347,0.30008486,0.29736185,0.29500273,0.28950337,0.2803557,0.26847926,0.25623438,0.24515168,0.23647477,0.2297311,0.22474974,0.22065878,0.21779938,0.21567869,0.21442115,0.21289611,0.21078867,0.2075578,0.20416646,0.20150359,0.20312792,0.21560568,0.24994385,0.30936864,0.3817924,0.43685412,0.44974795,0.41676068,0.3603449,0.30698627,0.27254164,0.25687298,0.25269303,0.2520629,0.25036985,0.24627341,0.24102877,0.23571624,0.23051159,0.22407691,0.21615495,0.2085665,0.20692731,0.21842335,0.24728434,0.289616,0.33338842,0.36663565,0.38472724,0.39234838,0.39577118,0.39843848,0.40040302,0.40251294,0.40645656,0.41201732,0.4159203,0.41401258,0.4056944,0.39393613,0.38280508,0.37368107,0.3640709,0.34868613,0.3230571,0.28815964,0.25195956,0.22467548,0.21110763,0.20730554,0.20514233,0.20018429,0.19577813,0.20178448,0.22896259,0.2826259,0.3547299,0.4236697,0.46287295,0.46008375,0.42535153,0.38418022,0.35720566,0.3497461,0.35443482,0.36142996,0.36438254,0.36022124,0.34766033,0.32750618,0.30341223,0.2816262,0.26655802,0.25916868,0.256746,0.2584411,0.26626995,0.28377548,0.31016362,0.33906636,0.36123148,0.37042427,0.36558858,0.34972653,0.3287343,0.3130875,0.31797934,0.3526986,0.40842178,0.45537588,0.4648579,0.43030643,0.37300965,0.32032135,0.28774002,0.27470624,0.27620876,0.28895196,0.31047538,0.33515227,0.35580578,0.3679433,0.37212607,0.3713627,0.3678027,0.36119807,0.35073522,0.3366523,0.32051823,0.3046923,0.2908467,0.28027418,0.27289018,0.2685323,0.26658466,0.26706693,0.27051067,0.27826807,0.29181358,0.31022,0.32883656,0.33983734,0.33798543,0.32398224,0.30528748,0.2894858,0.28030464,0.2752161,0.27010462,0.26229444,0.25263795,0.24376404,0.23751758,0.23439394,0.23273651,0.23124738,0.22905226,0.23034795,0.24455833,0.28463787,0.35205603,0.42890525,0.4808389,0.48428583,0.442067,0.38227883,0.33244956,0.3048595,0.2951246,0.29400107,0.2945359,0.29380283,0.29150566,0.28820035,0.28452113,0.28047636,0.27585867,0.2704345,0.26432705,0.25774708,0.25116345,0.24514686,0.24076758,0.23884141,0.23971246,0.24223508,0.24474813,0.24586926,0.24839015,0.26044717,0.2942167,0.35400784,0.4279755,0.487873,0.508285,0.48288402,0.42843273,0.36973438,0.32395744,0.29607084,0.28356758,0.28484654,0.298916,0.3237023,0.35197052,0.3750625,0.3864893,0.38425744,0.3702178,0.34893414,0.32991588,0.32253,0.33055106,0.34385562,0.34599724,0.32515895,0.28634605,0.24630846,0.22148447,0.21632528,0.22550006,0.24347675,0.27121922,0.31088936,0.35724282,0.39625037,0.41515985,0.41290805,0.398885,0.3860513,0.38067198,0.38443768,0.39240468,0.3989822,0.395846,0.3788643,0.34755108,0.3072922,0.265341,0.22935571,0.20500188,0.19693834,0.21010737,0.25064453,0.31741273,0.3958818,0.45825383,0.48353526,0.47088626,0.4403728,0.41349086,0.4001672,0.3974843,0.39794937,0.39624226,0.39060816,0.38283142,0.37571836,0.37140408,0.3696617,0.36929908,0.36921117,0.36941788,0.36925068,0.3669814,0.3590653,0.34344664,0.32115874,0.29792258,0.28003415,0.27100682,0.26910558,0.27004656,0.27083173,0.27234325,0.27984333,0.2982147,0.32839072,0.36309454,0.39284936,0.410709,0.41824207,0.42041346,0.42169484,0.42154756,0.41774586,0.40884897,0.39697674,0.38554636,0.3776457,0.37392747,0.37369272,0.37522283,0.3769389,0.37742922,0.37633228,0.37412855,0.37182108,0.36987922,0.3683735,0.36731032,0.36727646,0.36877844,0.37163445,0.37471485,0.37718117,0.37927136,0.38227198,0.38679874,0.3921144,0.39618102,0.39754617,0.395869,0.3922249,0.38773313,0.38325575,0.37864336,0.37328768,0.3662651,0.35755694,0.34808174,0.33980906,0.33444414,0.33317363,0.33585858,0.3417325,0.34952143,0.35846093,0.36771238,0.37602773,0.38162223,0.38371888,0.38376164,0.3845227,0.38785985,0.39302173,0.39795628,0.40147427,0.40425625,0.40745923,0.41063786,0.41212678,0.41046336,0.40674993,0.40339634,0.40289328,0.40543815,0.41019988,0.41642633,0.42464682,0.43494225,0.44489136,0.44979668,0.44559368,0.43283883,0.4169251,0.4054719,0.4037435,0.41294917,0.43006423,0.44920015,0.46283206,0.4649311,0.45502225,0.43928674,0.4266046,0.4216427,0.42273197,0.42509183,0.4265933,0.4277642,0.4296511,0.43072924,0.43038866,0.42958203,0.4311811,0.43491712,0.43825313,0.43821225,0.43577278,0.43437573,0.43700588,0.44198382,0.44430712,0.43936718,0.4282875,0.41681564,0.41106746,0.41250157,0.41928938,0.42993018,0.44425488,0.46088627,0.47443393,0.47946915,0.4742351,0.4632678,0.45254853,0.44636095,0.44580126,0.45049036,0.45939255,0.4697788,0.4779831,0.48063886,0.4775493,0.47122884,0.46470153,0.45848155,0.45115247,0.44430032,0.445483,0.4621006,0.49043813,0.5127571,0.5122021,0.48762873,0.45518288,0.43158624,0.42300406,0.42479503,0.43086264,0.43690634,0.44061908,0.43980488,0.43437538,0.4263197,0.4190946,0.41428038,0.41097662,0.4062545,0.39910284,0.39135394,0.38709673,0.387648,0.3899469,0.38823083,0.37923932,0.36545172,0.35326955,0.34971806,0.35945883,0.3853509,0.42700765,0.4775686,0.5226829,0.5475366,0.5478181,0.53272367,0.5159066,0.50425315,0.49498174,0.48222712,0.46346077,0.44101346,0.41994277,0.40419164,0.3951154,0.39065573,0.3879521,0.38567483,0.3846581,0.38741913,0.39552703,0.40939865,0.427303,0.4466673,0.4652871,0.4818469,0.49587885,0.50567746,0.5087306,0.503524,0.49237463,0.48210302,0.47823432,0.48187184,0.4865023,0.4865078,0.47903082,0.4681081,0.45718166,0.4487841,0.44216084,0.43717778,0.43395618,0.43261603,0.4321064,0.4312198,0.42967483,0.4283385,0.427364,0.42632547,0.42598593,0.43000695,0.4436415,0.46532014,0.48677316,0.49483645,0.48754588,0.47156438,0.4592315,0.4532292,0.45005238,0.44448912,0.43655393,0.42934105,0.42461702,0.42210495,0.42012882,0.41830194,0.41692305,0.41650924,0.416893,0.41752878,0.4181651,0.41841313,0.4179927,0.41648757,0.4143876,0.4123049,0.41054595,0.40880343,0.40708435,0.4067333,0.41073713,0.42304897,0.4458158,0.47443005,0.4978002,0.5045512,0.49422213,0.4768553,0.46443483,0.4602488,0.46033192,0.4611292,0.46323586,0.4687458,0.47598907,0.4809544,0.48050997,0.4754897,0.46899548,0.4633579,0.45891395,0.45375228,0.44678208,0.43877244,0.43347618,0.43367147,0.43832514,0.44231534,0.44074392,0.43263015,0.42077038,0.40949988,0.40297738,0.40520445,0.41821647,0.44063213,0.46606764,0.48741582,0.4993837,0.5020563,0.49798247,0.49115857,0.48368263,0.4761701,0.46791592,0.45892274,0.45036474,0.44345605,0.43892303,0.43668684,0.43733418,0.44003,0.4439166,0.44935432,0.46283737,0.4902104,0.5291509,0.56322026,0.5758855,0.5625612,0.5352092,0.5076819,0.4868923,0.47099093,0.45763347,0.44673148,0.44023475,0.43961194,0.44495538,0.45471796,0.46581516,0.4744563,0.478362,0.47710383,0.4724011,0.46451607,0.45229125,0.4329462,0.4064764,0.3764355,0.3492937,0.3300204,0.3202083,0.3179514,0.32339188,0.34049246,0.37770173,0.43400943,0.494342,0.5305698,0.52673835,0.48959577,0.44509175,0.41490257,0.40452293,0.40768197,0.41526148,0.42227092,0.42575455,0.42607048,0.4253238,0.42522243,0.42522717,0.42235494,0.41551247,0.4067898,0.40031195,0.39912462,0.40220687,0.40668285,0.40946314,0.41049013,0.4114209,0.41356432,0.4166455,0.4204338,0.4269433,0.44068214,0.46222243,0.48750034,0.5061948,0.51292306,0.50672215,0.49404407,0.47982612,0.4679133,0.45846662,0.45114493,0.4452233,0.4410175,0.43877518,0.43820623,0.4382058,0.43782213,0.43705067,0.43579128,0.4362673,0.44280207,0.46360138,0.49948874,0.54034877,0.56292564,0.55174804,0.5076073,0.45115542,0.40206575,0.37072778,0.35388485,0.34538376,0.3402138,0.3368872,0.33550057,0.33545378,0.3359817,0.33527485,0.33347777,0.33100924,0.3294579,0.3292286,0.33052215,0.33284166,0.33528614,0.33659697,0.33561215,0.33253315,0.32847354,0.324787,0.32217994,0.3238062,0.3369787,0.3716978,0.42757115,0.48839107,0.5252586,0.52143306,0.48162624,0.43004796,0.3865166,0.35866725,0.3422502,0.33240855,0.3263833,0.32310796,0.32135296,0.31989768,0.31821737,0.31624517,0.31394824,0.31150115,0.3096845,0.3100041,0.31359494,0.320196,0.32806057,0.33457878,0.3374621,0.33508256,0.32801965,0.3194044,0.31591558,0.32414553,0.34807006,0.38334194,0.42064896,0.44813132,0.46152022,0.46255326,0.45875254,0.4545904,0.45229423,0.45099643,0.45043513,0.45004144,0.4485992,0.44330537,0.43022975,0.40752468,0.3780159,0.34994605,0.331429,0.3271301,0.3382599,0.36747274,0.4151161,0.47333288,0.5229981,0.5468382,0.54198426,0.5216605,0.50199157,0.48984453,0.48278192,0.47556242,0.4666719,0.45783785,0.45147645,0.44818428,0.44570413,0.44061995,0.4295094,0.41206875,0.39100015,0.3730551,0.3654568,0.37421855,0.39821568,0.43002546,0.45704785,0.47082138,0.4697144,0.4593699,0.4459989,0.4345735,0.42988572,0.43823013,0.46114445,0.4897528,0.50546867,0.4960407,0.4646914,0.42884982,0.40378794,0.3943083,0.39662802,0.40598908,0.42008868,0.4369528,0.45332873,0.46645796,0.47497842,0.47939262,0.47882366,0.47229734,0.46000838,0.4448365,0.43015,0.41730163,0.40572336,0.39482877,0.3852401,0.37851128,0.37497142,0.3736709,0.37370265,0.3771046,0.38929796,0.41287372,0.44378293,0.47027242,0.48379886,0.4828454,0.4735352,0.46078852,0.4469378,0.4322197,0.41814852,0.40674496,0.40019915,0.40013912,0.40704325,0.41910306,0.4319603,0.44113263,0.4441233,0.4430258,0.44394705,0.45430502,0.4751753,0.49711832,0.5041115,0.48739752,0.45363533,0.42027223,0.40042666,0.39490327,0.39604834,0.39801887,0.4009979,0.4082317,0.42057943,0.43534222,0.44853863,0.4575822,0.4617879,0.46116582,0.4560313,0.44616672,0.43182135,0.413777,0.39542064,0.38108075,0.3744786,0.37526333,0.38018712,0.38479936,0.38615143,0.38568422,0.39046243,0.41347107,0.4601721,0.5209697,0.56819826,0.58052516,0.5561256,0.51600987,0.48154947,0.462651,0.4555308,0.45285192,0.44932163,0.44358942,0.4361467,0.4282273,0.41975877,0.41105378,0.4022503,0.3955551,0.3926835,0.3956187,0.4030571,0.41152623,0.41525432,0.41152552,0.4021468,0.3927637,0.38744012,0.38610318,0.3867258,0.38924208,0.39773783,0.41523877,0.44054154,0.46577355,0.48385772,0.4913361,0.49121627,0.4870306,0.48154214,0.47497213,0.46807942,0.4621867,0.45937434,0.4599743,0.462249,0.46296167,0.4600534,0.45365405,0.44513634,0.4368483,0.43280196,0.4405297,0.46532372,0.5025138,0.53402185,0.540454,0.5170434,0.4778885,0.4433955,0.4247724,0.420683,0.4243867,0.43027446,0.43619028,0.44083312,0.44455758,0.4472004,0.44942245,0.4501951,0.44836918,0.4421996,0.4320108,0.42058107,0.4122567,0.40937653,0.41027507,0.41088152,0.4086472,0.40404177,0.3994535,0.3962688,0.39679265,0.4050525,0.42812917,0.46606898,0.50809544,0.53262025,0.52636576,0.49220002,0.44869873,0.4117534,0.3886436,0.37749782,0.3754507,0.37837973,0.38299158,0.38714293,0.39180157,0.3983513,0.40530697,0.4095025,0.40861237,0.40479222,0.4021343,0.40380096,0.4095973,0.41649783,0.42201868,0.42502725,0.426787,0.4283241,0.4302418,0.43273747,0.43711317,0.44568706,0.45917824,0.4752519,0.48868957,0.49570546,0.49447015,0.48614955,0.47184432,0.45500183,0.4391717,0.42820922,0.42303905,0.4228319,0.42605802,0.43075135,0.4353898,0.43848363,0.4401548,0.44096515,0.44228384,0.4467573,0.4583294,0.4781002,0.5000208,0.5107081,0.49978068,0.4672922,0.42570534,0.38841584,0.36240157,0.34602895,0.335067,0.32694116,0.3210589,0.3182061,0.31837523,0.32151785,0.32554737,0.32874796,0.32898802,0.326835,0.32319427,0.32055223,0.3201066,0.32252052,0.32602692,0.32845274,0.3280853,0.3255433,0.32220757,0.31933105,0.31939128,0.32791856,0.3535515,0.39680862,0.44612038,0.47811583,0.47937083,0.45330703,0.41975835,0.3947731,0.3835208,0.38065982,0.37911296,0.3746637,0.36664727,0.35705742,0.34873006,0.34346095,0.34140268,0.34075692,0.33981356,0.33763206,0.3350942,0.33349013,0.33355287,0.33500254,0.33711502,0.33941793,0.34151864,0.3430421,0.34367868,0.34453857,0.34864593,0.36078513,0.3823968,0.40962014,0.4323424,0.44290838,0.4391872,0.42653942,0.41127506,0.3985193,0.39078644,0.38816062,0.3884667,0.38758337,0.38335407,0.3762897,0.36933196,0.36406878,0.36040866,0.35725784,0.3550651,0.3573632,0.37106967,0.40268147,0.45041752,0.500749,0.5348837,0.5433044,0.53151536,0.51345325,0.49829713,0.4860958,0.4717541,0.45277622,0.43151388,0.41396448,0.40410152,0.40181425,0.4028817,0.40344015,0.4022316,0.4003671,0.39989403,0.4023795,0.40869328,0.4177066,0.42596874,0.42932835,0.4255382,0.4163566,0.40593052,0.39825168,0.39637896,0.404312,0.42818832,0.46891984,0.5156741,0.5464546,0.5455153,0.5157162,0.4772682,0.44982728,0.44018364,0.4428234,0.4494536,0.45645776,0.46431768,0.47419286,0.4843146,0.4918829,0.49516702,0.49485555,0.4920667,0.48723137,0.48122776,0.47563958,0.47244585,0.4715208,0.4714075,0.47011212,0.4668471,0.46206594,0.45723084,0.45429873,0.4552497,0.46168184,0.47410175,0.49020395,0.5048197,0.5118189,0.50802225,0.49459538,0.47552052,0.45518646,0.43642592,0.4206001,0.40761033,0.3970056,0.38863134,0.38245872,0.3783938,0.37578404,0.3739634,0.37265503,0.3720256,0.3750666,0.38717553,0.4147657,0.4552523,0.49520043,0.5151807,0.50697064,0.4781154,0.4455677,0.420655,0.40523282,0.39644292,0.39334187,0.39779353,0.41117275,0.43208706,0.45660648,0.48025426,0.49961606,0.51226443,0.5166638,0.5119857,0.49932274,0.48217568,0.46610376,0.45661905,0.456087,0.46296307,0.47259918,0.48082185,0.4843625,0.48269734,0.47787783,0.4772196,0.48742285,0.50942564,0.53241616,0.54358953,0.53671694,0.51822484,0.49877915,0.48590684,0.48080727,0.48116493,0.48529935,0.492565,0.5034077,0.51660573,0.52947354,0.5385339,0.5415554,0.5382733,0.5292647,0.51598054,0.49982974,0.48330557,0.46852872,0.4575301,0.45091996,0.4487674,0.4507694,0.45679483,0.46654722,0.47840342,0.49042034,0.50100017,0.5104163,0.5184934,0.5235314,0.52264696,0.5146219,0.5015146,0.48688945,0.47412243,0.46474436,0.45942798,0.45700464,0.45535457,0.4515754,0.44545138,0.43894294,0.4353613,0.43517414,0.4368836,0.44003043,0.44887635,0.47040686,0.5041795,0.53801244,0.55182695,0.53617084,0.49786854,0.4554465,0.4216564,0.39939666,0.38465902,0.37485346,0.3688141,0.36633337,0.3656609,0.36529827,0.36315086,0.35803017,0.35007715,0.34129813,0.33540308,0.33430338,0.3380609,0.34341586,0.347581,0.3490614,0.34873867,0.34793088,0.34655774,0.3436239,0.34025142,0.3425317,0.36094198,0.40038037,0.4531207,0.4976941,0.5152194,0.5020117,0.47117552,0.43891832,0.4131916,0.39446637,0.3820875,0.3777807,0.38289177,0.39440873,0.4072123,0.41597083,0.42025122,0.42188287,0.42422688,0.4282378,0.43263492,0.43517122,0.43406487,0.43007722,0.42506704,0.421337,0.41967818,0.41926134,0.4185718,0.41651392,0.41449952,0.41667643,0.42728198,0.44680747,0.46901202,0.48562893,0.49125803,0.48749292,0.47975,0.47284126,0.4691359,0.46733555,0.46601617,0.46251908,0.45705715,0.44992158,0.44322324,0.4374906,0.43317005,0.4298736,0.4282857,0.43121254,0.4437228,0.46966934,0.50284785,0.5268509,0.5223259,0.4868844,0.43543932,0.39185154,0.3678408,0.3622041,0.36538446,0.3700057,0.3717691,0.36987802,0.36539367,0.36103916,0.35890985,0.35995555,0.36320734,0.36689648,0.36885443,0.36803746,0.36481664,0.3610858,0.35842586,0.35767758,0.3579701,0.3583114,0.35765257,0.35627916,0.35639322,0.36338007,0.38547036,0.42626294,0.4784144,0.52120274,0.5358703,0.5179922,0.4820079,0.4464865,0.42222226,0.4084696,0.39954615,0.39073983,0.38044953,0.36975053,0.36039367,0.3534985,0.3483802,0.34427062,0.34035102,0.33681306,0.333131,0.32966474,0.3271905,0.32753214,0.33116463,0.3369513,0.3424593,0.34600547,0.3473406,0.34806323,0.3517243,0.36311695,0.385716,0.41710532,0.44958952,0.47412392,0.4885719,0.4963645,0.5031026,0.5090315,0.51160294,0.50772274,0.4983907,0.4862245,0.47364905,0.4596512,0.44195807,0.41984925,0.39713427,0.37915632,0.3694799,0.36953902,0.38253406,0.4137046,0.46202812,0.51483995,0.5513859,0.5603402,0.54622704,0.5253107,0.5087387,0.4979334,0.48720774,0.47303605,0.45582306,0.4385037,0.42192587,0.40535423,0.38791755,0.37198552,0.36050746,0.3550912,0.35441065,0.35788214,0.36631355,0.3802656,0.3965139,0.4095879,0.41581914,0.4164815,0.41548565,0.41604257,0.41874608,0.4246515,0.43650126,0.45814052,0.48728824,0.51493937,0.52824944,0.5229272,0.50433487,0.48470393,0.4716955,0.46725813,0.46848974,0.47258165,0.47774473,0.48339042,0.48962423,0.49571618,0.5000445,0.49977693,0.4927762,0.47809783,0.45709875,0.4338188,0.41421413,0.40386882,0.40414765,0.41124716,0.4178863,0.41745138,0.4069469,0.38858035,0.36941552,0.35968217,0.3679017,0.39565232,0.4344778,0.4697719,0.48924124,0.4894379,0.47653905,0.46032438,0.44932,0.446139,0.44846463,0.45017293,0.44742098,0.44048366,0.4342862,0.43313542,0.4380641,0.44646308,0.45463607,0.4619873,0.47086677,0.48639467,0.5071675,0.5264159,0.53184843,0.5217226,0.501856,0.4851762,0.4755337,0.47198427,0.46942815,0.46672916,0.46312943,0.45778856,0.44960263,0.43927658,0.4298612,0.4238846,0.4221696,0.42270473,0.42390287,0.42544103,0.4300835,0.43978772,0.45418587,0.4681491,0.4762591,0.47543868,0.46732196,0.4544656,0.43917778,0.4250706,0.4206784,0.43567327,0.4691926,0.50445515,0.516711,0.4949752,0.44920447,0.4038732,0.37683702,0.37282443,0.3850787,0.4060028,0.4300135,0.45338956,0.47265533,0.4852661,0.4910601,0.4913275,0.4876493,0.48075268,0.47112527,0.4590672,0.4445788,0.42752776,0.40899706,0.39177886,0.3794366,0.37317345,0.37148735,0.37129653,0.3725458,0.37850466,0.39427665,0.42019007,0.4502007,0.47380826,0.48431146,0.48222968,0.47378814,0.46459007,0.45613948,0.44703937,0.4355687,0.42234492,0.4092506,0.39878738,0.39201018,0.38894486,0.38853204,0.38949016,0.39028236,0.39181063,0.39919448,0.42184997,0.46290445,0.5122515,0.5469535,0.55072886,0.52580553,0.49163875,0.4660578,0.45462462,0.45167056,0.4500464,0.44552502,0.43782985,0.42810524,0.4191313,0.41286242,0.4098176,0.40860328,0.407226,0.40545622,0.4038854,0.40412423,0.40660393,0.41100943,0.41577694,0.41836557,0.41694987,0.4116726,0.4053117,0.4014827,0.4042047,0.41905627,0.4514474,0.49844646,0.5441024,0.56523126,0.551477,0.51186657,0.46864164,0.43708444,0.4207815,0.4152749,0.41622588,0.42072633,0.4253157,0.42682087,0.42401576,0.41893277,0.41520783,0.41423467,0.4151878,0.41609955,0.41739866,0.42040217,0.42485973,0.42819214,0.42787778,0.4245709,0.42102003,0.4191765,0.41845205,0.41693744,0.4146125,0.4145111,0.4202288,0.4321363,0.44469473,0.45146272,0.4497498,0.4438258,0.43942156,0.43923792,0.4411544,0.44200018,0.44007182,0.43678078,0.43393055,0.43358517,0.43502834,0.43719947,0.4379702,0.43662575,0.4347438,0.4371555,0.4519491,0.47989997,0.51054853,0.5219131,0.5017194,0.45626366,0.4082485,0.37591895,0.36304608,0.36197737,0.36356834,0.363,0.3590509,0.3531237,0.34788212,0.34522712,0.34431157,0.34133282,0.3323433,0.31674123,0.29824892,0.28396118,0.27987468,0.28852987,0.30649745,0.32734135,0.3439109,0.35263625,0.35328996,0.3484716,0.34047076,0.3304915,0.31874034,0.3064967,0.2968032,0.2933943,0.29814318,0.30978072,0.32431877,0.3368294,0.3430368,0.34099448,0.33323988,0.32564756,0.32497275,0.33229962,0.34406415,0.3533349,0.35724673,0.35604608,0.35335386,0.35109973,0.3501517,0.3496039,0.34970054,0.35114095,0.35495415,0.35945225,0.36031762,0.3506333,0.32549608,0.28467152,0.23706116,0.1972158,0.18103825,0.19467507,0.23232277,0.27731848,0.31440088,0.335768,0.34358773,0.34207913,0.332927,0.3137115,0.28339115,0.24578191,0.20951325,0.1824535,0.16727154,0.16049916,0.15652472,0.15127818,0.14732745,0.15578423,0.19565137,0.2778614,0.38998118,0.49300012,0.54851496,0.5469406,0.5122924,0.47701657,0.4573995,0.451087,0.45049295,0.451879,0.45572653,0.4618239,0.469318,0.47627363,0.481202,0.48309168,0.4819025,0.47855952,0.47391668,0.46869752,0.46384513,0.4603894,0.45929542,0.45987877,0.46085986,0.46028373,0.4567261,0.44961047,0.44253993,0.44415438,0.46439496,0.50088686,0.535255,0.5407687,0.50780076,0.4506313,0.39787254,0.36756814,0.35952806,0.36407486,0.37385842,0.388647,0.40783677,0.4291233,0.447019,0.45886782,0.4644632,0.4662707,0.4664433,0.46629623,0.46648327,0.4679034,0.47130528,0.4767089,0.48201606,0.48475707,0.4825336,0.47435895,0.4600625,0.44193769,0.42588723,0.42000678,0.42854738,0.44854224,0.47044468,0.48714808,0.49553803,0.49670386,0.48840976,0.46853283,0.43842056,0.4074533,0.38740507,0.3837794,0.39232826,0.40214133,0.4058878,0.4032422,0.3998766,0.39959398,0.40243533,0.4075141,0.41875693,0.44134954,0.4745622,0.506238,0.52310556,0.5210776,0.50938123,0.49908736,0.49445656,0.49192142,0.4868828,0.4779304,0.4664822,0.4548856,0.44482705,0.43676743,0.42958307,0.4217602,0.41305852,0.4050791,0.40027273,0.4002485,0.4050204,0.41296288,0.4209528,0.4260384,0.42641234,0.42345586,0.41961756,0.41804186,0.42120433,0.43281183,0.45584047,0.48648962,0.5126427,0.51903874,0.50337106,0.47695443,0.4575994,0.45206013,0.45665932,0.4635177,0.46985328,0.47648153,0.4837818,0.48987126,0.4919314,0.48896763,0.48150167,0.4716086,0.46066296,0.45019343,0.44110385,0.4356666,0.4355401,0.4409531,0.44855705,0.45414194,0.4552705,0.45308292,0.44993106,0.44761643,0.44730613,0.45084408,0.45916486,0.47013593,0.47827354,0.4791362,0.47260454,0.46280107,0.45396748,0.4476576,0.44235063,0.43591747,0.4282287,0.4224114,0.42277625,0.43123683,0.4447845,0.45711717,0.4615381,0.4552776,0.4411416,0.42958173,0.43425354,0.46367478,0.51092833,0.5543956,0.57227165,0.55871433,0.52765465,0.49883285,0.4837898,0.48098245,0.48326504,0.4846932,0.48372197,0.48057052,0.4760615,0.46988025,0.46277678,0.45535696,0.44945237,0.44602826,0.44583344,0.44772866,0.44859067,0.44508132,0.43629733,0.42590737,0.41893017,0.4179506,0.4210285,0.42422065,0.42764077,0.4375315,0.46446076,0.509119,0.55657524,0.5798431,0.5649165,0.5217126,0.47755158,0.45207766,0.4464976,0.45008382,0.45382452,0.4551551,0.45458624,0.4515027,0.4451376,0.43632993,0.42880192,0.4260534,0.42856002,0.43316028,0.4363897,0.43733677,0.43827584,0.44094798,0.44539177,0.44882405,0.4494438,0.44685504,0.4428805,0.43973163,0.4396685,0.44588172,0.45962015,0.47848162,0.4939548,0.4993553,0.4943532,0.48658288,0.48215958,0.48171094,0.48137912,0.48039624,0.48135686,0.48771885,0.49866292,0.5108109,0.5201535,0.5248518,0.5247483,0.5210295,0.5164995,0.51628894,0.5265792,0.54956216,0.57642156,0.58981425,0.5743471,0.532043,0.4798099,0.4379829,0.41393173,0.403662,0.3990594,0.39757454,0.40079722,0.41074452,0.42573392,0.4419001,0.4551828,0.46352574,0.46634087,0.4648457,0.46085218,0.45646265,0.45174393,0.44530663,0.4349226,0.4205773,0.4048501,0.39175797,0.384425,0.3835211,0.39060697,0.40917495,0.44542778,0.4974436,0.55173767,0.58454543,0.5820911,0.54940397,0.5083863,0.47725654,0.4610707,0.4534022,0.44825128,0.44476125,0.44510213,0.44935426,0.45495224,0.45924544,0.46221364,0.4644513,0.4649239,0.46040443,0.44984397,0.4363589,0.42579508,0.42176625,0.4235598,0.42780948,0.43170893,0.43455812,0.4363482,0.43710288,0.43660104,0.43659607,0.4384124,0.4423616,0.4445007,0.44171956,0.43217888,0.41820896,0.40184557,0.38540304,0.37063873,0.36016813,0.3563411,0.35930288,0.36658823,0.3727385,0.37306368,0.36552444,0.35343698,0.34196898,0.33681175,0.34333825,0.368928,0.4183327,0.48442066,0.5451749,0.5745699,0.56253964,0.5194949,0.46756157,0.42265067,0.3916515,0.3739122,0.36828366,0.37231302,0.38289407,0.39485374,0.4027107,0.40312317,0.39691165,0.38855073,0.38269487,0.38181856,0.38649037,0.3963267,0.41047654,0.42638233,0.44048735,0.4500296,0.4541405,0.45343128,0.44758248,0.43756506,0.42854834,0.43224517,0.45735708,0.49898544,0.5357112,0.54625875,0.5265378,0.49236295,0.46368805,0.44972256,0.44726053,0.44853327,0.44857594,0.44622692,0.4422977,0.43678412,0.4282955,0.4153061,0.39858663,0.38207018,0.3701755,0.36561978,0.36806488,0.37634984,0.38851866,0.40172538,0.41204917,0.4162875,0.41366383,0.40502426,0.3926723,0.3806177,0.37526488,0.3810334,0.39598453,0.41110706,0.41776565,0.4139289,0.40445074,0.39528486,0.38875934,0.3848311,0.38353896,0.3872083,0.39758253,0.41383097,0.43161497,0.4461232,0.45464662,0.45762262,0.4572365,0.4567186,0.4604248,0.47264552,0.49469367,0.5195803,0.53556424,0.53211,0.511349,0.48385075,0.46218833,0.44982985,0.44402206,0.4399067,0.4357046,0.43144152,0.42762122,0.42400935,0.4204524,0.4167715,0.41302446,0.40822375,0.40089735,0.3906603,0.38035586,0.37453914,0.37514272,0.37895092,0.38085163,0.3788403,0.37546948,0.37381437,0.3743342,0.37718102,0.3863978,0.4113421,0.4556307,0.5096266,0.54903275,0.5555417,0.52966076,0.49211752,0.46365157,0.4522682,0.45338336,0.45998242,0.46887982,0.4786916,0.4871938,0.49032834,0.4845823,0.46901515,0.44633147,0.42250764,0.40434375,0.39734396,0.40316048,0.41983688,0.44182193,0.46301356,0.4783418,0.48557675,0.4836407,0.47149184,0.44908476,0.42051956,0.39593902,0.38600215,0.39496884,0.41581377,0.43700254,0.44993058,0.45418715,0.4526368,0.44756854,0.4391346,0.42898214,0.42092407,0.41958454,0.4266539,0.4403495,0.45589232,0.468652,0.4756995,0.4771882,0.47536162,0.47495732,0.48233762,0.50335443,0.53442246,0.5610691,0.5630706,0.533995,0.48461127,0.43733037,0.4069343,0.39645958,0.40069374,0.41324005,0.4294889,0.44435462,0.45413864,0.45663333,0.45288277,0.4462823,0.43958914,0.43454313,0.43012604,0.42620388,0.42312935,0.42244956,0.42412695,0.4269209,0.42891347,0.4296929,0.4293143,0.42886865,0.43023372,0.43862382,0.46148804,0.500545,0.54532665,0.5726631,0.56604433,0.5271207,0.47783807,0.43895844,0.41975847,0.4158139,0.42146802,0.43211463,0.44488522,0.4546547,0.4578687,0.45365402,0.4460665,0.4395715,0.4378115,0.4400591,0.44399858,0.44628918,0.4457904,0.44307616,0.43947294,0.43619466,0.43338212,0.4314171,0.43031922,0.43053564,0.43304613,0.43993434,0.4525708,0.4692628,0.48336515,0.4886743,0.48242763,0.46997988,0.4579265,0.45234716,0.4536854,0.45995215,0.4674779,0.4732097,0.4760445,0.4765631,0.47672126,0.4779012,0.4797257,0.4809724,0.4794755,0.47643963,0.47622058,0.48675546,0.5081546,0.5286737,0.5265891,0.49094006,0.42951354,0.3659067,0.3177618,0.28943908,0.2729762,0.260179,0.24612053,0.23025203,0.21375203,0.1988311,0.18718964,0.17904931,0.1730151,0.1672344,0.16087584,0.15434325,0.14864431,0.14436828,0.14149547,0.13963775,0.13846557,0.1378188,0.13754886,0.13724256,0.13714932,0.1399448,0.15259947,0.1830856,0.2335298,0.29397562,0.34617534,0.37469152,0.37606677,0.35800418,0.3309796,0.30218515,0.27450672,0.24932064,0.22767334,0.2102982,0.19679047,0.18591769,0.17616235,0.166821,0.15796365,0.15020293,0.14358443,0.13752043,0.131126,0.124148436,0.11716705,0.11100053,0.10604465,0.10191116,0.09800863,0.09415651,0.0928139,0.10032474,0.12692712,0.17890413,0.2518293,0.3271012,0.38380238,0.4096303,0.4076619,0.3881857,0.3609476,0.33043444,0.2982665,0.26558247,0.23399727,0.20539461,0.18157469,0.16420151,0.15411085,0.15071039,0.15248308,0.15946119,0.17521991,0.20499061,0.24905707,0.29889652,0.34021822,0.36364675,0.36965588,0.3663582,0.36021984,0.35276425,0.3422891,0.32866022,0.31438324,0.30255714,0.29449046,0.28973016,0.28717908,0.28657207,0.2871715,0.28819725,0.28812376,0.28699648,0.28513262,0.28335968,0.281068,0.27776328,0.27314308,0.26841876,0.26492906,0.26387736,0.2651941,0.2691047,0.2767794,0.29033795,0.30981264,0.33145046,0.34931228,0.3594279,0.3618711,0.35921454,0.3536842,0.34631348,0.33743563,0.3275838,0.31736496,0.3078636,0.3005875,0.29742578,0.29914537,0.3046447,0.31104276,0.31580833,0.31807578,0.31872824,0.31879902,0.3185159,0.31739923,0.3150468,0.31214002,0.31040084,0.3122972,0.31917095,0.33089092,0.34604156,0.36395195,0.38430366,0.40594172,0.42525887,0.43817747,0.44273904,0.44050333,0.43419275,0.4254928,0.41475418,0.4029299,0.39217672,0.38467333,0.38092664,0.38036156,0.38275686,0.389176,0.40025732,0.41485295,0.4301467,0.44420013,0.4576625,0.47236773,0.4883596,0.50181186,0.5080928,0.50517404,0.49582097,0.48393866,0.47168025,0.4583737,0.44387838,0.43034855,0.421397,0.41860905,0.4202336,0.42283186,0.42460456,0.4261279,0.4289596,0.4326193,0.43430936,0.4293586,0.41487324,0.39114857,0.36342707,0.33829656,0.3210275,0.3122615,0.30965373,0.31093898,0.31657365,0.3303415,0.35445628,0.38690305,0.41885567,0.44161034,0.4505426,0.44920257,0.44386956,0.44014344,0.43897676,0.43843088,0.43543088,0.42858934,0.41907188,0.40934888,0.4018457,0.39724445,0.3956693,0.39575556,0.39611474,0.39488804,0.39304015,0.39300385,0.39792386,0.40739867,0.4187421,0.42824057,0.43418944,0.43647668,0.43538976,0.43146005,0.42504337,0.4188285,0.41487253,0.41522136,0.41719317,0.41825166,0.41539547,0.41003594,0.40346602,0.39743456,0.39125857,0.38465357,0.37734684,0.37046072,0.36491823,0.36149395,0.35960355,0.35836008,0.35696915,0.3562503,0.35840443,0.3665177,0.3827174,0.40630123,0.43279913,0.4551001,0.46733853,0.4678714,0.45964468,0.44641605,0.42965028,0.40840375,0.38279894,0.35655358,0.3357056,0.3243625,0.321766,0.32358834,0.32588926,0.32768476,0.33030003,0.33472708,0.3404918,0.34593734,0.34986165,0.35181645,0.3525362,0.35354242,0.35685506,0.36372003,0.37338534,0.38354,0.39142728,0.39587542,0.39664635,0.3948301,0.39121437,0.387501,0.38449588,0.383276,0.38349903,0.38514113,0.3873657,0.38990536,0.39220896,0.39418912,0.3958073,0.3976364,0.40098336,0.40726003,0.41647425,0.42565465,0.42964235,0.42418742,0.41016158,0.39386454,0.383648,0.38353333,0.39201197,0.40351665,0.41373694,0.4200894,0.42249033,0.42151833,0.41968393,0.41992334,0.42464018,0.432814,0.44060895,0.44269347,0.43626717,0.42205366,0.40483046,0.3891407,0.37749967,0.36811307,0.3585271,0.34724593,0.3360658,0.32747605,0.32336316,0.32319078,0.32540962,0.32784393,0.32946774,0.3302007,0.33233377,0.338297,0.3490816,0.3609171,0.36793375,0.36571512,0.35527536,0.34110868,0.32780382,0.3174479,0.31034747,0.30633354,0.3056203,0.30828485,0.31413743,0.32210922,0.3309041,0.33912244,0.34598634,0.35087702,0.35321352,0.35237393,0.34851697,0.3428408,0.33733615,0.33347663,0.331707,0.33119622,0.3305554,0.32828927,0.3239134,0.31921968,0.31845155,0.3257194,0.3409793,0.35856155,0.37088275,0.37376285,0.3686799,0.35999072,0.35109827,0.3428975,0.33451656,0.32509175,0.31450725,0.30376604,0.2940128,0.28631744,0.28158477,0.2810934,0.2851858,0.2918001,0.2965629,0.29549435,0.28840256,0.2787107,0.27120933,0.26820517,0.26912072,0.27153787,0.27365068,0.27592552,0.28118291,0.2940713,0.31583413,0.34207788,0.36143732,0.36501336,0.35094395,0.32747364,0.30435228,0.2880319,0.27770445,0.26893234,0.25742292,0.24267592,0.22746857,0.21496075,0.20646434,0.2013671,0.19862093,0.19706179,0.19640596,0.19750822,0.20358598,0.21645331,0.23448358,0.25018892,0.25673655,0.25155255,0.23907726,0.22521181,0.21412958,0.20675428,0.20269048,0.20115511,0.2012021,0.20214908,0.20428787,0.20877247,0.21659422,0.22759213,0.24062164,0.2545493,0.26913133,0.28532875,0.30447528,0.3270127,0.3512695,0.37386775,0.3914338,0.40242437,0.40754452,0.4084973,0.40683988,0.40343425,0.3991252,0.3949698,0.39209715,0.3912623,0.3925954,0.3961538,0.4016701,0.4089348,0.4170406,0.42518649,0.43237308,0.43825102,0.44257116,0.44565257,0.44788566,0.44999814,0.4523714,0.45524463,0.4584755,0.462188,0.46628395,0.47044814,0.47375512,0.47561908,0.47618404,0.47632515,0.47673365,0.47747612,0.47850183,0.48016843,0.48331085,0.48830935,0.494536,0.5004659,0.50457406,0.5059537,0.50448126,0.500555,0.49531123,0.49016955,0.48594102,0.48184243,0.47648677,0.470346,0.4664497,0.46818045,0.4753845,0.48414454,0.49013448,0.49287856,0.49557623,0.50103325,0.50786275,0.51110107,0.507088,0.49714434,0.48707357,0.48184875,0.48186493,0.48330107,0.48221198,0.4770129,0.46751404,0.45401725,0.4378246,0.42312407,0.4146342,0.41468856,0.42085707,0.4289248,0.43542075,0.4395636,0.44193447,0.44352806,0.4444523,0.44392464,0.44075993,0.43508387,0.42881477,0.42525592,0.42643735,0.43222377,0.4401872,0.44820288,0.45526993,0.46166933,0.46735013,0.47168875,0.47377086,0.47328869,0.47050753,0.4664494,0.46223232,0.45940837,0.45815405,0.45782018,0.4561962,0.4529175,0.44908008,0.44748965,0.44895378,0.4521437,0.45393935,0.45216954,0.44632027,0.4381903,0.43046102,0.4264885,0.4282894,0.43670085,0.44995916,0.4644494,0.4748656,0.47674534,0.4687444,0.45402256,0.43786082,0.4244795,0.4141594,0.4053825,0.39663124,0.3885828,0.382139,0.37769642,0.37457153,0.37202108,0.36973187,0.3677896,0.36678514,0.36723843,0.36944005,0.37279987,0.37664258,0.38031557,0.3840873,0.38872835,0.39556527,0.4053072,0.41680333,0.42709434,0.43265012,0.43237904,0.42720675,0.4192425,0.40893164,0.3965248,0.3826569,0.3701254,0.36158442,0.3586228,0.36000752,0.36325213,0.36610177,0.3684492,0.37189284,0.3777937,0.38556543,0.39260614,0.3960477,0.39438212,0.3878471,0.3776658,0.36519954,0.3520408,0.3402218,0.33212045,0.32994106,0.33543608,0.34892634,0.36801502,0.3867298,0.3985392,0.39978185,0.3925635,0.38172948,0.3719342,0.3645728,0.3593463,0.35577163,0.35449037,0.3563242,0.36085853,0.36648643,0.3715637,0.37601063,0.38062146,0.38545504,0.38856602,0.38756987,0.38213512,0.37497842,0.36967102,0.36782947,0.3684545,0.36967948,0.37041748,0.3707303,0.37155852,0.37447822,0.3810878,0.39106074,0.40169635,0.40819016,0.40757048,0.39944533,0.3873255,0.37464467,0.3643327,0.35649085,0.3504367,0.34431303,0.33713064,0.32861564,0.32012695,0.31292722,0.30795535,0.3048052,0.30306825,0.3020958,0.30211496,0.30425942,0.30994788,0.31903207,0.32752097,0.33028668,0.32386532,0.31030273,0.29418752,0.28044716,0.27113852,0.26662025,0.26587054,0.26782393,0.2712239,0.27503967,0.27809882,0.27952406,0.27912486,0.27774313,0.27638814,0.27520674,0.2733412,0.26993653,0.26513112,0.25994882,0.255766,0.25376263,0.2548364,0.25907347,0.26495144,0.26976392,0.2711517,0.27019715,0.27038708,0.27529225,0.28375468,0.2917187,0.29493904,0.2933948,0.2895203,0.2859293,0.28249812,0.27755237,0.26956332,0.25970826,0.25071046,0.24517666,0.24247141,0.23996438,0.23466672,0.2264623,0.21746157,0.21089758,0.2081018,0.2082411,0.20872806,0.20800243,0.20601909,0.20415969,0.20301224,0.20209706,0.2002238,0.19742154,0.19607075,0.19950795,0.20950179,0.22288494,0.23375046,0.23615974,0.22904618,0.21501134,0.19890933,0.18380797,0.17051153,0.15779859,0.14462924,0.1312842,0.119129084,0.10947972,0.10257882,0.097874165,0.09458379,0.09250487,0.09230178,0.09543696,0.10291656,0.11416026,0.12628527,0.13595591,0.140837,0.14103287,0.1377481,0.13249058,0.12602666,0.11910673,0.11252344,0.10729896,0.103729546,0.101416685,0.09927854,0.09657642,0.0931054,0.08933562,0.085860886,0.08308971,0.0810166,0.07936286,0.07775467,0.075971104,0.07392461,0.071739115,0.069579415,0.06769303,0.06619606,0.06513138,0.064380504,0.063809685,0.063214056,0.062420014,0.061286096,0.05984201,0.058183786,0.05643803,0.05462797,0.052830666,0.051150035,0.049744364,0.048581123,0.047469307,0.046107944,0.04437695,0.04238091,0.040390167,0.03860848,0.037059594,0.035646092,0.03424075,0.03280547,0.031314727,0.029795514,0.028265243,0.026824458,0.025553012,0.024490437,0.023557266,0.022667835,0.021802245,0.021028297,0.020389235,0.019823974,0.019199582,0.018420732,0.017490359,0.016479129,0.015449803,0.014444218,0.013491534,0.012637731,0.0119092865,0.011298618,0.010757198,0.010231182,0.009692564,0.009138645,0.008594162,0.008076675,0.007602899,0.007163692,0.0067511625,0.006353628,0.0059762727,0.0056247823,0.0053013694,0.004997767,0.0047030095,0.004416746,0.0041476456,0.003911015,0.0037100746,0.003535079,0.0033641222,0.0031821195,0.002990939,0.0028059406,0.0026424807,0.002500518,0.0023715878,0.0022447817,0.0021210692,0.0020070674,0.0019129253,0.001839511,0.0017791927,0.0017172477,0.0016438671,0.0015571155,0.0014622944,0.0013627188,0.0012591124,0.0011497465,0.0010372272,0.0009267475,0.00082929345,0.000757698,0.00072633475]