[0.011442222,0.020271802,0.040865052,0.068809636,0.096520506,0.11692425,0.12699117,0.12898888,0.12715675,0.124832995,0.12344252,0.12368994,0.12652512,0.13243078,0.14087857,0.14980723,0.15745789,0.16311133,0.16729374,0.17007501,0.17050599,0.16764987,0.16190857,0.15545194,0.15070207,0.14921613,0.1510312,0.1552214,0.16036487,0.16507436,0.16824894,0.16947871,0.16911604,0.1680231,0.1670053,0.16651739,0.16691858,0.16844414,0.17133158,0.17533635,0.18011509,0.1845196,0.18688822,0.18500714,0.17816968,0.16775858,0.15702842,0.14854665,0.14306764,0.13968967,0.13742743,0.13578372,0.13435042,0.13237387,0.12889244,0.123479664,0.11655634,0.10928098,0.102969706,0.09831804,0.09523956,0.092980675,0.0909757,0.0889793,0.08713531,0.08552858,0.084161766,0.08298308,0.08196863,0.08109502,0.08025587,0.07911538,0.07722178,0.074176274,0.07035407,0.06687076,0.06522965,0.06605337,0.06886044,0.072395995,0.07580396,0.07900613,0.08269608,0.08752813,0.09374262,0.10105706,0.10954421,0.11977752,0.13238184,0.14675365,0.16101736,0.17280048,0.18038136,0.1830946,0.18150346,0.17731053,0.17296845,0.17062503,0.17134969,0.17494673,0.1804126,0.18653212,0.19200534,0.19544493,0.19527185,0.19004714,0.17957453,0.1646976,0.14729173,0.12838508,0.10896501,0.089921065,0.073227175,0.060710166,0.053069483,0.049464848,0.047972146,0.046921805,0.045162167,0.04300536,0.041994255,0.044375796,0.051473055,0.06303084,0.07845423,0.09754303,0.120221436,0.14389013,0.1641466,0.17655027,0.18039499,0.17800593,0.1731909,0.1684411,0.16472487,0.16220342,0.16100544,0.16146392,0.16317989,0.16515148,0.16625349,0.16643076,0.16641842,0.16683717,0.16741216,0.16748911,0.1667413,0.16563039,0.16503298,0.16594723,0.1688358,0.17320354,0.17756003,0.18029505,0.18087006,0.18017071,0.17992641,0.18120165,0.1836919,0.18588418,0.18654875,0.18569928,0.18463653,0.18513496,0.1883377,0.19390933,0.19949162,0.2019338,0.19944905,0.19311751,0.18574756,0.17956762,0.1747282,0.17021656,0.16508341,0.15963577,0.15470375,0.15118136,0.14921492,0.14847533,0.14844947,0.14839,0.14753087,0.14505655,0.14139803,0.13869464,0.14088859,0.15138002,0.17037922,0.19357876,0.21430583,0.2276332,0.23279242,0.23245585,0.22975083,0.22659774,0.22364931,0.22153215,0.22111247,0.22300048,0.22654724,0.23002005,0.23172788,0.23169136,0.23181015,0.23471713,0.24137896,0.25016478,0.25737533,0.25988266,0.2568872,0.2504764,0.24363993,0.2383039,0.23392864,0.22877891,0.22144027,0.21281706,0.20535119,0.2021019,0.2040869,0.21002384,0.21683936,0.22208135,0.22479236,0.22497515,0.22205688,0.2151156,0.2040612,0.19179606,0.18268685,0.18073285,0.1859184,0.19543059,0.2049405,0.21158461,0.21369185,0.21090294,0.20357214,0.19270472,0.17912203,0.16329287,0.14628501,0.13124253,0.12273371,0.12381367,0.13361825,0.14879529,0.16811478,0.1938168,0.2278816,0.26747182,0.30497175,0.33471504,0.354285,0.36648026,0.37273812,0.37606132,0.37647793,0.37550187,0.37299338,0.37082806,0.36901617,0.36646616,0.36021182,0.3498472,0.33721614,0.32574984,0.31665468,0.30994782,0.30421928,0.297975,0.28960347,0.2788314,0.26808023,0.2607433,0.25941408,0.26370767,0.27106974,0.2782606,0.28199315,0.2809321,0.2748433,0.26623595,0.25775293,0.25252274,0.2515496,0.25444973,0.25894836,0.26276103,0.2640232,0.26225713,0.25740144,0.24988799,0.23991673,0.2287061,0.21789409,0.20944194,0.20394503,0.20123605,0.20053689,0.20117833,0.2020889,0.20233059,0.20166884,0.20056945,0.1996516,0.19885676,0.19779181,0.19530104,0.19051306,0.18326025,0.17530932,0.16890256,0.16600579,0.1669433,0.17124917,0.17731804,0.18403463,0.19059812,0.19689755,0.20145471,0.20235564,0.19865613,0.19196127,0.18494286,0.17959921,0.17676507,0.17652898,0.17829293,0.18096048,0.18330647,0.18464096,0.18449926,0.18305852,0.18117481,0.18015505,0.18067898,0.1824718,0.18498932,0.18774085,0.19040616,0.19263889,0.19493528,0.1982044,0.20329969,0.20931675,0.21450698,0.2167437,0.21600562,0.21355891,0.21182637,0.21151783,0.21225323,0.21244478,0.2114715,0.20894648,0.20530553,0.20068239,0.19576411,0.19080614,0.18672186,0.18404277,0.18331653,0.1833326,0.18221812,0.17845549,0.17295189,0.16982166,0.17412424,0.19042301,0.21762775,0.25175595,0.28517774,0.31417987,0.33631098,0.35287914,0.3636557,0.36842,0.36604548,0.35730338,0.3458952,0.33712387,0.33486196,0.33829942,0.34364954,0.3472693,0.34822384,0.34582153,0.3392987,0.3285336,0.31812432,0.3133566,0.31672272,0.32322142,0.32685244,0.3242877,0.31901923,0.3149909,0.31413212,0.31340706,0.31007037,0.30320528,0.2949914,0.28686118,0.27885953,0.2701967,0.2618363,0.25577796,0.25317946,0.25236404,0.25049204,0.24553104,0.23803829,0.22996126,0.22387539,0.22083873,0.2203089,0.21966054,0.21737738,0.21347646,0.210313,0.20924276,0.21100692,0.21473368,0.21946786,0.22318077,0.22405571,0.22106938,0.21512975,0.20845246,0.20339823,0.20113969,0.20139743,0.20336074,0.20693518,0.21271527,0.22089654,0.23081285,0.2412764,0.2513592,0.2595663,0.2641896,0.26369074,0.25844994,0.2502037,0.24165227,0.23509096,0.23232375,0.23363924,0.23820339,0.24420504,0.2505655,0.2565868,0.262172,0.26620945,0.2677497,0.26622465,0.26349702,0.26200536,0.26353803,0.26691604,0.2698007,0.27028033,0.26851824,0.26595306,0.26428378,0.26432458,0.26538134,0.2656256,0.26328743,0.25851837,0.2537764,0.2537382,0.2614752,0.27669653,0.29330912,0.30613026,0.3122236,0.31476465,0.31563044,0.31793383,0.32231236,0.33065262,0.3402146,0.34736535,0.34757408,0.34057593,0.32721782,0.3106556,0.29396346,0.28106812,0.2725879,0.26595768,0.25738868,0.24724025,0.24323505,0.25576916,0.2901854,0.33809653,0.38266483,0.40910926,0.41557768,0.41043368,0.402928,0.39635348,0.38788688,0.3747125,0.35693848,0.3393619,0.32713386,0.3224204,0.3217292,0.31912437,0.31146613,0.30055925,0.29121992,0.2853565,0.28169695,0.27722394,0.27227628,0.26906738,0.26948956,0.27205262,0.2743623,0.27561614,0.27727473,0.28110144,0.28747222,0.29572204,0.30353737,0.30889216,0.31022382,0.30885133,0.3057052,0.3008596,0.29271093,0.28138825,0.2691518,0.25907597,0.25239554,0.24775968,0.24282734,0.23796356,0.23698981,0.24500267,0.26213017,0.28304628,0.2997379,0.3075012,0.30592045,0.2976312,0.28596136,0.27323052,0.26037467,0.24669708,0.23195975,0.21713428,0.20585735,0.20241392,0.21004331,0.22723986,0.24860163,0.2667912,0.2770383,0.27787718,0.27202424,0.2640758,0.25866944,0.25574827,0.25182784,0.2425707,0.22866796,0.21334548,0.20047666,0.19042464,0.18261127,0.1752478,0.16830182,0.16214311,0.15885656,0.15895115,0.16273318,0.16954996,0.17952655,0.19109549,0.20173042,0.20963012,0.21615732,0.22406368,0.23462991,0.24588116,0.25463358,0.25764453,0.25357112,0.24210475,0.2253548,0.2073193,0.19408494,0.1900046,0.19442679,0.2017235,0.20609911,0.2067228,0.2060863,0.20771657,0.21226782,0.22002769,0.22858387,0.23552467,0.23768638,0.23511897,0.22957163,0.22405982,0.22169586,0.22460325,0.2335198,0.24610238,0.25982836,0.27330098,0.28865913,0.3093886,0.33698812,0.36788976,0.39400235,0.4090918,0.41226855,0.40915966,0.40574217,0.40560785,0.40642688,0.4028314,0.3902075,0.3700931,0.34977522,0.33536807,0.32741883,0.32039872,0.31089053,0.2996497,0.2925856,0.2934337,0.30082723,0.30683967,0.30403316,0.29194507,0.2782379,0.2715858,0.27352598,0.27851054,0.27934316,0.27383724,0.26401976,0.25386256,0.24576646,0.241629,0.24276972,0.2495693,0.25962237,0.26805785,0.27063668,0.2660091,0.25583565,0.2424924,0.22789933,0.21436734,0.20402898,0.19896835,0.19828463,0.19974494,0.19947504,0.1965567,0.19244742,0.19112813,0.19399655,0.1993814,0.20314117,0.20289887,0.19886579,0.193603,0.18952017,0.18841304,0.1910069,0.19844604,0.21151535,0.22993743,0.25045395,0.26836523,0.2799739,0.2844567,0.2833207,0.27818915,0.2706013,0.26139638,0.2517711,0.24241745,0.23418684,0.2274319,0.22261666,0.21952958,0.21770398,0.21566267,0.2123353,0.20685112,0.19964015,0.19126101,0.18343012,0.17812122,0.17741467,0.18110289,0.1875096,0.19435768,0.2010213,0.20722926,0.21217076,0.21364099,0.21010028,0.20274056,0.19651216,0.19767718,0.21004178,0.23232071,0.25991368,0.2876995,0.31223485,0.33089122,0.34220704,0.34588006,0.34370553,0.33839038,0.3330336,0.32987437,0.32964766,0.33135965,0.33299577,0.3328842,0.33032045,0.32590225,0.32098147,0.31680062,0.31388223,0.3124392,0.31302264,0.31654444,0.32418555,0.33652964,0.35287786,0.36910412,0.37980762,0.38102618,0.3746332,0.3661596,0.3613238,0.3611753,0.3626604,0.36145595,0.35642847,0.3497155,0.3443495,0.34050968,0.33603707,0.32870153,0.31922147,0.3111341,0.30842212,0.3123481,0.3205776,0.32964876,0.3386264,0.34807435,0.35760403,0.3622583,0.3577746,0.3425201,0.32109204,0.29850447,0.28118142,0.2738862,0.28119528,0.30174038,0.32911956,0.35307524,0.36653277,0.3664359,0.3547218,0.33574548,0.3165277,0.30389395,0.30208603,0.30955258,0.3198249,0.32433414,0.31737062,0.29840067,0.27243996,0.24749492,0.23071313,0.22525363,0.22847529,0.23633426,0.24559419,0.2555933,0.26309338,0.2630944,0.25134712,0.23020291,0.20857991,0.19824688,0.20696868,0.23328881,0.26602146,0.29142785,0.30067238,0.2942672,0.27834123,0.26143488,0.24961382,0.24466522,0.24275796,0.23905528,0.2319951,0.22553973,0.2258315,0.23757768,0.26023206,0.28667042,0.30621254,0.3112815,0.302937,0.28854144,0.2770281,0.27406168,0.28185686,0.29753813,0.31471047,0.3258662,0.3274555,0.32008436,0.30676937,0.28949922,0.27022466,0.251951,0.24041905,0.24015747,0.2516673,0.26917636,0.28589737,0.29708508,0.30195546,0.30034968,0.29248318,0.2791017,0.26179308,0.24192703,0.21993202,0.1972633,0.17613858,0.1596572,0.14874692,0.14373697,0.14457293,0.1542709,0.17529118,0.20756261,0.2441976,0.2777748,0.3030227,0.3219156,0.33772564,0.35597607,0.37762973,0.4011499,0.4177494,0.42100477,0.40883744,0.3881816,0.36633134,0.34770027,0.3323188,0.3201685,0.31408003,0.31744722,0.33143163,0.35116848,0.36939093,0.37961695,0.3809178,0.37535593,0.36635008,0.35487998,0.3419384,0.32869962,0.31896377,0.31546947,0.31917652,0.32742462,0.33752808,0.34701964,0.35467842,0.35874733,0.3590083,0.3565661,0.35402462,0.35268083,0.3522475,0.3509061,0.346236,0.33624926,0.32071742,0.30340362,0.2909979,0.28975233,0.29976484,0.31454447,0.32504407,0.32695195,0.32184073,0.31401613,0.30510518,0.29500255,0.28473854,0.2785294,0.28006503,0.28865954,0.29955605,0.30765328,0.3115462,0.3119098,0.30982774,0.3050107,0.29898605,0.2962841,0.30193195,0.31627536,0.3321816,0.34132335,0.33995977,0.33265793,0.32599708,0.324384,0.32667756,0.32914588,0.32796875,0.3230827,0.31805766,0.31802675,0.32472357,0.3358704,0.3464577,0.3529836,0.35386035,0.34958568,0.34093276,0.32914189,0.31591237,0.30341974,0.29369396,0.28686595,0.28204823,0.27704474,0.27100495,0.26287338,0.2533807,0.24293505,0.23314881,0.22432095,0.21669579,0.20966487,0.20383203,0.2008412,0.20385617,0.21504284,0.23410459,0.25705886,0.27886245,0.29525465,0.30427042,0.3060609,0.3030775,0.29957423,0.2989781,0.30162373,0.30461565,0.304858,0.3016141,0.29697993,0.29392186,0.2947079,0.29937112,0.306903,0.31476828,0.32139763,0.3258681,0.33154583,0.3423407,0.3613336,0.38459468,0.40662614,0.42222145,0.4319491,0.43658456,0.43698117,0.43130693,0.4193339,0.40195784,0.38352385,0.3689245,0.36258122,0.3645757,0.37163416,0.37850574,0.38172743,0.38056555,0.37688723,0.37305394,0.37038526,0.36857536,0.3663317,0.36245298,0.3563135,0.34854707,0.3404205,0.33362845,0.32877162,0.32614994,0.32552052,0.3268497,0.3283842,0.3269776,0.31889892,0.30358982,0.28484365,0.27021182,0.26627278,0.27463186,0.2905514,0.306525,0.31765196,0.32365882,0.32742703,0.33105388,0.3346814,0.3365996,0.335248,0.33040872,0.3236756,0.31709912,0.3119529,0.3086531,0.30783442,0.31034648,0.3162378,0.32440624,0.3332902,0.34233394,0.35187605,0.36229154,0.37188324,0.37602213,0.36936557,0.35071215,0.32631338,0.30733502,0.30194294,0.3101199,0.3237138,0.33451486,0.33882403,0.33918425,0.3386049,0.33798218,0.3349212,0.3274012,0.31554392,0.30317494,0.29553902,0.2969472,0.30729267,0.32255712,0.33688733,0.34619448,0.34918585,0.34691072,0.3413857,0.3344846,0.32769606,0.32218507,0.31963003,0.32179835,0.32987654,0.34292233,0.3578072,0.3697511,0.37442517,0.37038684,0.35998106,0.3480401,0.33802974,0.33111736,0.32709125,0.32700875,0.3323005,0.34203267,0.35179865,0.3556399,0.35037208,0.3362153,0.3158715,0.29179165,0.2671978,0.24609232,0.23391849,0.2334041,0.24387586,0.25903824,0.27295032,0.28152934,0.2882925,0.2976624,0.3137289,0.33285943,0.3510162,0.36295465,0.36849204,0.36682498,0.3607857,0.35320178,0.34941688,0.35125542,0.35802892,0.3650267,0.36855826,0.36692703,0.36227116,0.35741016,0.3542602,0.3531988,0.35393214,0.35595962,0.3573452,0.35642338,0.35297573,0.34983107,0.34950683,0.35223904,0.3552641,0.3564087,0.35559967,0.35490254,0.35539898,0.3566368,0.3566315,0.354478,0.3499727,0.34368658,0.3349856,0.32435057,0.31338227,0.30533668,0.29993764,0.2931464,0.2793434,0.25839594,0.23668878,0.22313346,0.22212863,0.23133563,0.24416919,0.25508565,0.26205993,0.26671875,0.27161202,0.27840102,0.28660917,0.29443738,0.30011013,0.3029822,0.30364525,0.3034612,0.30488214,0.3106098,0.32196665,0.33634245,0.34872985,0.35483885,0.3546132,0.35059437,0.34553465,0.33945355,0.33111832,0.3202345,0.31046614,0.30801654,0.31710193,0.33628547,0.35919425,0.37950218,0.3930125,0.39791915,0.39379725,0.38249326,0.36796668,0.35373774,0.34127852,0.32944176,0.31736478,0.3053038,0.29549202,0.29025298,0.29146752,0.3001187,0.31621718,0.3377761,0.35981503,0.3764561,0.38431072,0.3845992,0.38087758,0.3753281,0.36745194,0.35624376,0.34360346,0.3352064,0.33661035,0.3488697,0.36622417,0.381381,0.38968778,0.39184883,0.39020324,0.3869938,0.38287285,0.37742344,0.368919,0.35585916,0.33901668,0.32218865,0.30984893,0.3034604,0.30168328,0.30271193,0.3089244,0.32273376,0.34348592,0.36268726,0.37268224,0.37047854,0.3614786,0.35114136,0.34321845,0.33819756,0.33717394,0.3407115,0.34820354,0.35708883,0.36423954,0.36722502,0.36426142,0.35519984,0.3408117,0.32452178,0.30870053,0.2960551,0.28629568,0.28148898,0.28293738,0.29276592,0.30813256,0.3246371,0.3376261,0.3466191,0.35286748,0.35792375,0.36150983,0.362568,0.35885534,0.34778857,0.3276634,0.30034015,0.27262846,0.25437132,0.2537485,0.2716427,0.30080363,0.33023,0.3521162,0.3646357,0.369907,0.3704994,0.36843583,0.365657,0.3641909,0.36484155,0.3667494,0.3678901,0.36688456,0.3640969,0.36120906,0.359851,0.36006245,0.36095667,0.36130717,0.3605684,0.35851654,0.35519147,0.35038295,0.3427792,0.33059525,0.31332818,0.2943515,0.280162,0.27696216,0.28655252,0.30503476,0.3256745,0.34285724,0.35483015,0.3623515,0.3659723,0.3649303,0.35785222,0.34564248,0.330149,0.31475058,0.300837,0.29129568,0.28813544,0.29380453,0.30526137,0.31676546,0.32246968,0.3227488,0.3219358,0.32478523,0.33289084,0.3454888,0.36015865,0.3729514,0.37923607,0.37475905,0.35847807,0.33377084,0.31018153,0.2982513,0.30352628,0.32035005,0.33682898,0.342065,0.3345225,0.3209262,0.3114147,0.3112308,0.31737825,0.32215014,0.31973886,0.3104223,0.29756954,0.2852081,0.27668703,0.2761695,0.28633785,0.30644628,0.33053663,0.351038,0.36150298,0.3618606,0.35597193,0.35104576,0.34977362,0.35287306,0.35661554,0.35930398,0.3583107,0.3540864,0.34678122,0.3386103,0.33033857,0.32335484,0.31691772,0.3109369,0.30345872,0.29477242,0.28433144,0.27349827,0.26146528,0.24869744,0.23537403,0.22414531,0.21755664,0.2173279,0.22237726,0.22989261,0.23743923,0.244233,0.25010744,0.2548113,0.2595714,0.26914844,0.2879802,0.31399396,0.33677146,0.34560087,0.33816266,0.3219243,0.30767027,0.30234382,0.30632833,0.31398746,0.31831717,0.31512246,0.30641875,0.29771712,0.29487565,0.30022684,0.31246498,0.32651922,0.33665666,0.33890888,0.33389595,0.32473278,0.31483337,0.30497327,0.29455045,0.2829832,0.2713416,0.26189777,0.25678134,0.25739053,0.26368284,0.27451852,0.28735673,0.2992904,0.30808643,0.31303847,0.31472445,0.3143244,0.31316853,0.3124107,0.31236872,0.31218687,0.31043506,0.30616578,0.29949203,0.29072604,0.27992812,0.266965,0.2523377,0.2374418,0.22371922,0.21205974,0.20195572,0.19245757,0.18228965,0.17098339,0.15849142,0.14610507,0.13565366,0.12909786,0.12649222,0.12606846,0.12476251,0.12052405,0.11334736,0.10553876,0.10043043,0.10139503,0.11172145,0.1336595,0.16615175,0.20247805,0.23326232,0.25239703,0.26133025,0.2660235,0.27134025,0.2780764,0.28417253,0.2873802,0.28575575,0.27870598,0.26709986,0.2549338,0.24663752,0.24495314,0.24758865,0.25061324,0.2503745,0.24640058,0.23950787,0.23402977,0.23724444,0.25679755,0.29245612,0.33410951,0.36760452,0.38435245,0.38491312,0.37491775,0.36042556,0.3450049,0.33028114,0.31610918,0.3012623,0.2846589,0.2658591,0.24635732,0.22764347,0.21124761,0.19703858,0.18552066,0.17729183,0.17454536,0.17998588,0.19784312,0.2296501,0.27133283,0.31104574,0.33703017,0.344264,0.33835435,0.32893345,0.3238889,0.32509008,0.33062002,0.3366122,0.34056747,0.34137943,0.34032083,0.33863607,0.33749965,0.3362429,0.3336374,0.32761434,0.3165287,0.30061612,0.28382647,0.2752684,0.2839084,0.312734,0.35234025,0.38730356,0.40417758,0.40058374,0.3818303,0.35740325,0.334071,0.31651226,0.30472967,0.29767635,0.2928767,0.29004452,0.29028866,0.29709187,0.3133848,0.3383226,0.3651868,0.3854814,0.3944702,0.3940492,0.3883622,0.38030398,0.3702773,0.35956094,0.35061142,0.34519562,0.34111717,0.33359662,0.31947374,0.30081913,0.28309938,0.27075732,0.26446512,0.26234773,0.26266026,0.26553944,0.2729235,0.28706548,0.3072114,0.3281603,0.3415819,0.3419002,0.33055863,0.31707454,0.3143004,0.33106446,0.36649323,0.4099903,0.44836748,0.47285238,0.4816098,0.47611153,0.45828703,0.4314905,0.40333474,0.3851043,0.38655373,0.4095641,0.4471546,0.48658732,0.5164473,0.5295048,0.5251129,0.5074881,0.48479238,0.46483874,0.45082498,0.43867865,0.4196237,0.38855264,0.35136342,0.32524994,0.3274078,0.36214307,0.41734007,0.4717339,0.507707,0.5165196,0.50261503,0.47861192,0.46081412,0.45804718,0.4690636,0.4854578,0.50009227,0.5114355,0.52172333,0.5314489,0.5376206,0.5352612,0.52461195,0.5096981,0.4963938,0.4845146,0.4708836,0.45311293,0.4357684,0.42755523,0.43474138,0.45363918,0.4720553,0.47696707,0.46572056,0.4454231,0.42722896,0.41590896,0.41019306,0.40541732,0.39871982,0.38939133,0.37832364,0.3687613,0.3657434,0.37548485,0.39631677,0.41803917,0.4232124,0.40522125,0.37027776,0.336915,0.31762174,0.3175349,0.33152577,0.35342708,0.374123,0.3878536,0.39070573,0.3848915,0.37309453,0.3585556,0.34222826,0.32569757,0.31072637,0.29926458,0.29301342,0.2944055,0.30818835,0.33686197,0.3763115,0.41304335,0.43395302,0.4344795,0.42187032,0.40686762,0.39661995,0.39220682,0.3923137,0.39646682,0.40716863,0.42428908,0.44396052,0.45645463,0.4582164,0.45126262,0.44348094,0.43586805,0.42545375,0.40816978,0.38793108,0.37433434,0.37731585,0.39667332,0.42055497,0.43181908,0.42344967,0.40227893,0.38350907,0.37600017,0.3793474,0.3874701,0.39678085,0.40772343,0.4204574,0.4334648,0.4433714,0.45216584,0.4617115,0.4718444,0.4746269,0.46665975,0.45307958,0.44671437,0.45402142,0.46988046,0.48207912,0.48152137,0.4685659,0.4517425,0.44178692,0.44412163,0.45568457,0.46884355,0.47792414,0.48224545,0.48282373,0.47879505,0.46812615,0.45132852,0.43428195,0.424147,0.42413494,0.42891994,0.4300649,0.42245805,0.4088212,0.39516625,0.38559237,0.38022923,0.37805974,0.37924162,0.38572702,0.39723682,0.41118655,0.421567,0.4267926,0.4273418,0.4272599,0.42534813,0.42045256,0.41072306,0.4005046,0.39519954,0.40129146,0.41829363,0.43988582,0.45354056,0.45227313,0.4370514,0.41824117,0.40471444,0.40070817,0.4042085,0.41214943,0.42280194,0.43475354,0.44643435,0.45490623,0.4607476,0.46456563,0.46678185,0.46219918,0.44846272,0.427402,0.40787902,0.3962816,0.3949429,0.40004316,0.4063098,0.40780357,0.40169325,0.38819325,0.3708957,0.35274974,0.33544156,0.3190792,0.30450585,0.29270187,0.28404853,0.27841198,0.27777585,0.28797486,0.31464767,0.3558496,0.3989637,0.4281713,0.43647537,0.42939612,0.4184904,0.41097888,0.40793654,0.4083153,0.41331634,0.4259149,0.44460532,0.46328577,0.47223678,0.46948668,0.45861745,0.44818965,0.44004658,0.43315795,0.42393765,0.41291073,0.40136567,0.39131522,0.38356027,0.37986803,0.3826196,0.39363623,0.40967548,0.4233046,0.42715797,0.42220208,0.4153961,0.4130182,0.41329834,0.41076264,0.40304604,0.39323023,0.38500413,0.3781794,0.37069547,0.36230814,0.35625014,0.3546325,0.3558421,0.35424104,0.34627965,0.33179483,0.31422284,0.29523948,0.27696502,0.2618989,0.25513676,0.2579356,0.26697418,0.2749767,0.27770975,0.2755151,0.27198672,0.27086774,0.27534905,0.2892635,0.31428757,0.34704134,0.37810767,0.399712,0.41077542,0.41494992,0.4128565,0.40235403,0.38546303,0.37230864,0.37293673,0.3895669,0.41296032,0.43137893,0.43510595,0.42566276,0.41136065,0.40378132,0.4049624,0.40943643,0.40860924,0.4014027,0.39301607,0.39227676,0.40144166,0.41647863,0.42770776,0.43400738,0.4392531,0.44926223,0.4569145,0.4517261,0.42672357,0.38841406,0.34828153,0.31666216,0.29690376,0.28575328,0.2753631,0.2583087,0.23296684,0.2053328,0.18533285,0.18067344,0.19252647,0.21670513,0.24896936,0.28732416,0.3295987,0.36825144,0.39319596,0.3976654,0.38342783,0.35867622,0.33401623,0.31900117,0.31816772,0.32955348,0.34584513,0.3608127,0.37348744,0.38785183,0.40740326,0.43005452,0.44865683,0.45671138,0.45365688,0.442686,0.4259129,0.4038695,0.381157,0.36770973,0.37205347,0.39408824,0.42353728,0.44853666,0.45993006,0.4589342,0.45100152,0.44483027,0.44102314,0.43608442,0.42269564,0.40030313,0.37493572,0.36100045,0.36815298,0.39684498,0.43191803,0.45982525,0.47026333,0.4642501,0.44152293,0.40899312,0.3752623,0.35263422,0.34383824,0.34492874,0.34761727,0.34740877,0.3428369,0.33585253,0.32948852,0.32526565,0.32163098,0.31543097,0.306767,0.29891053,0.2983732,0.31009853,0.3360512,0.36961153,0.40016565,0.41889882,0.42717266,0.43192652,0.43837705,0.44510803,0.44813812,0.44532943,0.43698883,0.42246678,0.4020563,0.3792695,0.36438167,0.3638047,0.37690333,0.3922702,0.4040462,0.4103366,0.4154093,0.41719937,0.41637707,0.41610536,0.4244093,0.44330218,0.46656132,0.48318514,0.4842336,0.4710013,0.45379522,0.44836256,0.46131465,0.48556757,0.50195736,0.4954627,0.46565422,0.43021622,0.40985838,0.41542065,0.438485,0.46441376,0.47882712,0.47758707,0.4599574,0.434525,0.4125801,0.40683892,0.41828164,0.4385066,0.45350078,0.45529795,0.44553366,0.43337646,0.42638817,0.42156824,0.40851712,0.3794452,0.33916155,0.3012769,0.280844,0.28635642,0.31765485,0.36284134,0.40346268,0.42227712,0.41576764,0.39327154,0.37163797,0.36138213,0.36430967,0.37295452,0.3811777,0.38457116,0.38536826,0.38629222,0.39411655,0.40909365,0.42680815,0.43488166,0.4287392,0.41131815,0.3929275,0.37835062,0.36732718,0.35610184,0.34223387,0.32482052,0.30433634,0.28223395,0.26101843,0.2444456,0.23703332,0.24164619,0.25608075,0.27437857,0.29002216,0.30105552,0.30785537,0.31108782,0.30894423,0.30034998,0.28704202,0.27400967,0.26579896,0.26392627,0.2661878,0.26975885,0.2724483,0.27398047,0.27337015,0.26951095,0.2604762,0.24606784,0.22722708,0.20641881,0.18672557,0.17242141,0.16806126,0.17545046,0.19090307,0.20806146,0.22617935,0.25380942,0.30080065,0.36482117,0.42937002,0.474854,0.49328497,0.48972592,0.4769436,0.465017,0.4596081,0.45968798,0.46300212,0.46576238,0.46769914,0.46983516,0.4782691,0.49531904,0.5188694,0.53683084,0.54152757,0.531266,0.5143276,0.4962214,0.4798456,0.46558467,0.45685422,0.45838654,0.47101787,0.48858866,0.4999814,0.49822196,0.4853506,0.47004795,0.45887753,0.45276332,0.44925538,0.448596,0.4535689,0.4684393,0.49056372,0.51139337,0.5167472,0.5020183,0.472883,0.44500196,0.42804822,0.42411682,0.4277707,0.43508956,0.4444368,0.45610952,0.46841213,0.47926143,0.4880894,0.49823642,0.51018757,0.5186586,0.5131252,0.49014902,0.45618287,0.4250742,0.40652427,0.4028984,0.40900448,0.41678986,0.41927373,0.41443697,0.4057212,0.39889744,0.39774618,0.40248907,0.41040185,0.41753125,0.4198428,0.41505206,0.40624854,0.40211913,0.41471764,0.44655487,0.48800698,0.51713777,0.5211859,0.50034344,0.47102833,0.44637844,0.43419018,0.43394187,0.4458933,0.47014448,0.50395036,0.53813195,0.5591729,0.5588727,0.5391453,0.5111005,0.48410463,0.46247244,0.44521704,0.4345106,0.43444243,0.45119348,0.48142612,0.5140062,0.5306055,0.52405334,0.49952173,0.4728974,0.4538187,0.44337323,0.43621835,0.42947325,0.42468655,0.42634085,0.4363445,0.45291987,0.47124043,0.48977765,0.5064108,0.5180683,0.5167759,0.50107056,0.47634557,0.45490345,0.44319987,0.44085777,0.44226325,0.444285,0.44906187,0.458848,0.47144067,0.4764267,0.4665681,0.44261467,0.4154757,0.3938336,0.38017616,0.37100923,0.3657744,0.3688383,0.3889203,0.4268466,0.47350964,0.50808525,0.5182833,0.50325024,0.47763887,0.45307508,0.4369161,0.42946723,0.43258274,0.44804922,0.475319,0.50673956,0.53005856,0.5357378,0.52411515,0.50373393,0.48332262,0.46642423,0.4526306,0.44426915,0.44633332,0.46468458,0.49588132,0.5284454,0.5450122,0.5384734,0.51348346,0.48502302,0.4635198,0.45250145,0.4489541,0.45071182,0.45657206,0.4663702,0.47752798,0.48827848,0.49787387,0.509814,0.52337146,0.53285617,0.526956,0.5028202,0.46763298,0.43640223,0.41867313,0.41553485,0.4208305,0.42719197,0.430125,0.42873928,0.4250461,0.42004332,0.4134916,0.40429273,0.39383352,0.38482043,0.38009098,0.37958333,0.38321865,0.3920059,0.41052997,0.43856752,0.46976587,0.48950458,0.4905126,0.47465667,0.45517552,0.44106445,0.43593812,0.43656325,0.44176087,0.45227766,0.46983644,0.49138975,0.50994015,0.5177989,0.5140374,0.5034191,0.49350867,0.48759106,0.48551813,0.48427975,0.48184407,0.4769698,0.46994674,0.4620802,0.45599794,0.4554759,0.46182218,0.4730085,0.48262557,0.4872539,0.4860519,0.4824302,0.4767513,0.46910545,0.45813859,0.44591233,0.4351691,0.42853972,0.42516103,0.420768,0.41123664,0.3945639,0.3732076,0.34984764,0.3286859,0.31233385,0.30319718,0.29869115,0.29393575,0.28436363,0.27118972,0.25927612,0.25259125,0.2507399,0.2510632,0.25212207,0.2548118,0.25993773,0.267567,0.27704856,0.28942776,0.30364653,0.31660187,0.32146242,0.3166003,0.30521795,0.29638422,0.29536334,0.3035394,0.316246,0.32784888,0.33354703,0.33359036,0.33137286,0.3294848,0.32659772,0.32117116,0.31660485,0.31995142,0.335037,0.3569241,0.37542662,0.3823274,0.3763144,0.3615563,0.34300005,0.32443118,0.30802333,0.2973168,0.29501316,0.3020167,0.31336895,0.32176277,0.32024732,0.30777836,0.28847742,0.27001405,0.25880107,0.25707695,0.26161036,0.26627466,0.26638213,0.2621223,0.2574631,0.2565136,0.2608042,0.2706945,0.28733137,0.31027713,0.33447647,0.34973964,0.34944415,0.33429217,0.313231,0.29408345,0.28179276,0.276528,0.2785058,0.2869011,0.3004652,0.31543404,0.32754564,0.33331048,0.33169827,0.32286382,0.30791196,0.28930345,0.27084288,0.25585732,0.24528693,0.24009807,0.24178696,0.2520728,0.2676493,0.28331682,0.29391876,0.29960564,0.30134377,0.3009933,0.2989674,0.29682088,0.29511437,0.2930559,0.28804806,0.27836788,0.26569036,0.25521207,0.25229824,0.25769383,0.26688495,0.27316156,0.2729039,0.26666638,0.25884816,0.25396717,0.2554985,0.26329657,0.27614734,0.29032472,0.30210388,0.30558023,0.29950917,0.28667608,0.27502963,0.26815328,0.265686,0.26296893,0.25887427,0.25533247,0.2585621,0.27196398,0.293721,0.3146179,0.32658133,0.32812098,0.3260552,0.3277094,0.33526388,0.34541354,0.35355175,0.3583498,0.35957468,0.3584645,0.35480067,0.3528756,0.35507536,0.3623023,0.3656409,0.35809287,0.3359799,0.30660018,0.278797,0.26246417,0.2621621,0.27815887,0.30382726,0.33104455,0.35192522,0.36245385,0.36022946,0.34849325,0.33530927,0.3308549,0.33832845,0.35115698,0.3583467,0.35363615,0.34103993,0.3310165,0.33223006,0.34474075,0.36023307,0.36939868,0.36666766,0.3535385,0.33480325,0.31799284,0.30855837,0.30921257,0.31832683,0.33171728,0.34366143,0.34802437,0.34296468,0.33223298,0.32425106,0.32289317,0.3259715,0.32618868,0.3204272,0.3110025,0.30661905,0.31364515,0.33202052,0.35171258,0.361874,0.35787287,0.34594703,0.33558366,0.33302227,0.33671808,0.34197664,0.34479582,0.34525967,0.34530437,0.34760046,0.35419866,0.3638104,0.37120247,0.3670615,0.34814176,0.31833354,0.28917286,0.2680758,0.25755462,0.25426885,0.25451192,0.2539114,0.24886853,0.23690756,0.21845597,0.19641508,0.17595209,0.16282006,0.16191103,0.17376943,0.19385962,0.2141263,0.22833915,0.23473638,0.2360015,0.23569204,0.23618682,0.2378202,0.23983066,0.24068291,0.2385061,0.23172759,0.22100489,0.21003474,0.2041235,0.20585425,0.21310663,0.2206433,0.22470944,0.22502565,0.22376783,0.2240581,0.23037301,0.24962169,0.2870215,0.33968914,0.39260054,0.42802143,0.43710878,0.42643973,0.40673867,0.38334903,0.35459533,0.32313022,0.30070484,0.3011373,0.32795608,0.36919335,0.40642598,0.4268496,0.43211594,0.4342097,0.44682372,0.47308192,0.50489974,0.5271632,0.5317307,0.51952094,0.4993085,0.47778872,0.45951805,0.44734296,0.44606307,0.45885262,0.48634616,0.5210529,0.5522366,0.5667619,0.56171775,0.5407973,0.5146586,0.48845592,0.46382475,0.43728176,0.40752432,0.3771527,0.3549969,0.35024372,0.36563063,0.39460158,0.42570165,0.44942608,0.46120498,0.46225187,0.45718834,0.45102867,0.44561324,0.44021976,0.43448457,0.43059507,0.43139252,0.4385234,0.44914994,0.46023822,0.46855727,0.4772953,0.48463655,0.48651955,0.47303662,0.44856307,0.42527965,0.41798162,0.4248844,0.43521953,0.437557,0.4293046,0.41333807,0.39523724,0.38166595,0.378243,0.3866154,0.40242973,0.41996363,0.4360976,0.45415726,0.47677907,0.5021641,0.52073914,0.5262088,0.5196846,0.51009727,0.5029616,0.49695018,0.48604703,0.4692086,0.45318738,0.45087743,0.466615,0.49310818,0.510634,0.508669,0.4866173,0.45652196,0.42472008,0.39543784,0.36794496,0.34593794,0.33481112,0.3422724,0.37113914,0.41439393,0.4568566,0.4838606,0.49101555,0.48313442,0.46849072,0.45307782,0.44134486,0.43826303,0.44891056,0.4724388,0.50073856,0.5213879,0.5316238,0.53474516,0.536455,0.52937585,0.5082161,0.47267023,0.4370233,0.41006783,0.39631936,0.3917618,0.395275,0.40294722,0.41057673,0.41188875,0.40393648,0.38744807,0.3688384,0.35917857,0.3689604,0.40037033,0.44354475,0.48337007,0.50970834,0.524406,0.5354777,0.54786927,0.55636686,0.5528626,0.53532743,0.5119976,0.4931246,0.48244596,0.475283,0.46658787,0.45786276,0.45985642,0.47877172,0.51018065,0.5343476,0.5377242,0.5169639,0.48364782,0.44587815,0.40886852,0.3722917,0.33923018,0.31472555,0.30682805,0.31988904,0.35074723,0.38698292,0.41580376,0.43080613,0.43432832,0.42964184,0.4166924,0.3937256,0.3646934,0.34292948,0.34082237,0.36128044,0.3919164,0.42172816,0.44256702,0.45549667,0.45719087,0.45273623,0.444509,0.4385513,0.42759454,0.41370812,0.40158203,0.40478024,0.4181721,0.42971173,0.42373538,0.40051654,0.3671734,0.33566186,0.31472015,0.31090468,0.3254542,0.35321558,0.38389847,0.4079424,0.42445233,0.44067284,0.46312606,0.4869744,0.4996743,0.4933764,0.4734182,0.45163214,0.43440935,0.41738728,0.39533457,0.37162435,0.36433402,0.38540336,0.43213043,0.47685623,0.49925065,0.4904342,0.46437207,0.42961764,0.39358437,0.35599717,0.32460997,0.30902243,0.32177913,0.3639753,0.42575192,0.4859086,0.530988,0.5538049,0.5557625,0.53336596,0.4889672,0.43002295,0.37438306,0.33899167,0.3353529,0.36328456,0.41141137,0.4647716,0.5117313,0.5505185,0.5819526,0.6091358,0.62832403,0.63591737,0.62404794,0.59622705,0.5601373,0.5305591,0.5111049,0.5011582,0.4946147,0.49049687,0.4875929,0.48693907,0.48873082,0.49404216,0.50081515,0.5053602,0.505064,0.50275844,0.5064871,0.52253336,0.5495523,0.57596356,0.5899641,0.5880391,0.5783374,0.5717167,0.57340974,0.58118016,0.5911179,0.60212487,0.61629313,0.6301151,0.6351073,0.6186385,0.5809888,0.53030914,0.48235688,0.44360605,0.41772878,0.40177414,0.39399147,0.39159366,0.39787412,0.4165049,0.4454955,0.47183475,0.48285082,0.47616622,0.4617422,0.4501368,0.44752744,0.45466623,0.47271022,0.50102204,0.5361507,0.5702568,0.5954614,0.6089003,0.6105071,0.5997234,0.571795,0.52816945,0.48059747,0.44820026,0.44087955,0.4524813,0.46508983,0.46398935,0.44661656,0.4234719,0.4060603,0.39854303,0.39568582,0.3953258,0.4015698,0.4206902,0.44844246,0.47183967,0.47783664,0.46578193,0.44930995,0.44876054,0.47548494,0.5203254,0.55848074,0.5683406,0.5479564,0.51359564,0.48602352,0.47536942,0.48042998,0.49252972,0.50924975,0.5288294,0.5510209,0.5645761,0.5648427,0.55173177,0.53768796,0.5263352,0.5183402,0.50751805,0.49577546,0.4853488,0.48437402,0.49556002,0.5204561,0.55007094,0.57771176,0.5942361,0.5968087,0.57909626,0.5416797,0.48927274,0.43615162,0.3988143,0.3918625,0.41994438,0.47299924,0.5324492,0.5789099,0.6016466,0.5957788,0.5656987,0.52183825,0.48081648,0.45350876,0.44261774,0.43952727,0.43618032,0.42819938,0.42325032,0.4248745,0.4311657,0.4278638,0.4153653,0.4052874,0.41737482,0.4492289,0.48458925,0.504803,0.5113342,0.5180586,0.53899294,0.57158774,0.5997024,0.60348564,0.57706887,0.52974945,0.47924587,0.4355289,0.39833567,0.36421648,0.3384818,0.33852217,0.3768038,0.4483765,0.5236164,0.57471913,0.5874593,0.5712332,0.5382748,0.49973404,0.45914233,0.4213582,0.39249465,0.38202748,0.39597163,0.4310975,0.47264144,0.50407314,0.5178027,0.5181103,0.51320046,0.5072121,0.5005012,0.4940553,0.49268928,0.5000252,0.5148676,0.53081083,0.54366094,0.5526302,0.5586691,0.55871195,0.5501349,0.53339976,0.5142533,0.49792802,0.48812434,0.48483625,0.48559293,0.48387018,0.4756553,0.4615002,0.44922388,0.4442083,0.4473133,0.45244792,0.45536423,0.45489693,0.4536732,0.45089486,0.44478682,0.43685105,0.43851244,0.45970884,0.49823132,0.53432924,0.54970574,0.53958684,0.5166833,0.49532273,0.4837555,0.48194793,0.48726186,0.49922478,0.51626855,0.5362406,0.55079055,0.5553343,0.5479185,0.5342688,0.5179953,0.5015641,0.48379067,0.4657687,0.45137775,0.45039377,0.46780598,0.4992992,0.52446,0.52769345,0.5058953,0.47632137,0.45511428,0.44816062,0.44609144,0.4373332,0.41902235,0.39975414,0.39244285,0.40374795,0.43071866,0.46404752,0.49361244,0.51331973,0.5237331,0.5288787,0.5301756,0.5217721,0.5005017,0.47163486,0.4489754,0.43944874,0.44087613,0.44483694,0.44706658,0.44616222,0.44391832,0.4416875,0.4416705,0.44309998,0.44502127,0.44542626,0.4459528,0.44865537,0.45875338,0.4749196,0.49083218,0.49130353,0.47118846,0.43534645,0.40092906,0.37756738,0.36715972,0.36357376,0.36263266,0.361908,0.36008492,0.35568687,0.34823433,0.3396168,0.3331042,0.33132875,0.33409643,0.33878782,0.3421897,0.34239864,0.3389956,0.33205882,0.3221136,0.31033924,0.2993954,0.29188755,0.2895433,0.29219905,0.29889485,0.30767193,0.3151135,0.31590644,0.30505192,0.28116733,0.24887164,0.2173552,0.1967069,0.19338392,0.20725484,0.23187701,0.25718552,0.27562147,0.28438318,0.28603733,0.28353277,0.27904698,0.27283984,0.26551607,0.25758502,0.249888,0.2430314,0.23833154,0.23778486,0.24411575,0.25829375,0.27815878,0.29758427,0.31082344,0.3153864,0.31416342,0.3121806,0.31391114,0.3198208,0.32564208,0.32353565,0.30832598,0.2826786,0.25905868,0.25051385,0.26273236,0.28823853,0.3151933,0.33414093,0.34426892,0.3479024,0.3472394,0.34161997,0.3301917,0.31411877,0.29655018,0.281919,0.27278236,0.2697073,0.27008784,0.27061805,0.2684116,0.26325294,0.25725865,0.25335106,0.25312915,0.25572228,0.25878927,0.25990415,0.25833222,0.25541058,0.25381324,0.25492075,0.257295,0.25712,0.25223175,0.24350725,0.23480432,0.22872233,0.22662944,0.22813527,0.23273416,0.23787822,0.24005753,0.23665754,0.2286631,0.21894644,0.20891051,0.19719398,0.18212743,0.16529717,0.15136363,0.14534283,0.14865877,0.15839563,0.16901438,0.17591827,0.17824478,0.17957997,0.18535161,0.19852139,0.21605895,0.23096311,0.23702662,0.2340377,0.22751021,0.22594543,0.2347358,0.25311446,0.27339977,0.2878199,0.29309794,0.29254976,0.29025304,0.28842512,0.28645805,0.2840502,0.28125775,0.27837572,0.27472508,0.2696104,0.26333058,0.25820136,0.25723183,0.26159433,0.26903018,0.2753638,0.2778511,0.27701375,0.2755337,0.27526298,0.27610782,0.27654898,0.27611008,0.2743565,0.27074423,0.26341724,0.25406623,0.24738234,0.24921279,0.25745353,0.26294863,0.2551205,0.23283465,0.20531185,0.18552911,0.18122123,0.19145341,0.20954673,0.22806007,0.2421666,0.25062105,0.25433615,0.25479838,0.25277165,0.24835639,0.2417671,0.23381342,0.22621246,0.22177319,0.22466171,0.23933375,0.26665208,0.3010852,0.33152828,0.34904492,0.35216936,0.34718943,0.3409562,0.33612475,0.33116826,0.3240265,0.31476727,0.30481765,0.29587558,0.28906995,0.2852072,0.28461438,0.28628254,0.28817096,0.28807822,0.28522405,0.28059375,0.27634558,0.2748114,0.27685142,0.2814469,0.2860421,0.28880075,0.28914535,0.2878848,0.2860668,0.2860264,0.29059318,0.30204943,0.31900355,0.33720884,0.35137704,0.35842922,0.35714343,0.34799853,0.33239868,0.31405368,0.29807055,0.28923035,0.28878286,0.29371965,0.29886314,0.29993215,0.2960641,0.28898987,0.28167996,0.27585015,0.27107218,0.26504943,0.25590125,0.24416047,0.23271589,0.22407933,0.21868454,0.21522652,0.21387202,0.21762986,0.23102379,0.25533375,0.28487727,0.30810985,0.31422725,0.30097094,0.27676404,0.25566387,0.24815571,0.25569642,0.27160645,0.28720167,0.29650575,0.2967757,0.2864537,0.26484373,0.23405027,0.20025577,0.17075555,0.15013309,0.13825269,0.13355945,0.13660109,0.15019631,0.17551188,0.20859021,0.2424715,0.2722417,0.2976407,0.32040244,0.3391954,0.34925008,0.34523478,0.32613456,0.29559198,0.2600012,0.22564846,0.19816773,0.1832401,0.18520556,0.20417793,0.23357432,0.26320264,0.2848241,0.29635933,0.30042168,0.30050623,0.29856062,0.29525915,0.29132834,0.28771487,0.2853817,0.28456056,0.2849975,0.2860965,0.2875781,0.28933164,0.29122958,0.29295924,0.29418012,0.29449138,0.2930845,0.28845552,0.27893427,0.26294956,0.2398297,0.21024244,0.1777082,0.14895736,0.13224977,0.13369094,0.1527288,0.18169558,0.20863648,0.2245781,0.22739299,0.22187974,0.21465856,0.20994587,0.20771374,0.2044698,0.19614255,0.18148494,0.16531982,0.15629321,0.160848,0.1761264,0.19227798,0.2000519,0.19972204,0.19848733,0.20451397,0.21949397,0.24039443,0.2613939,0.27805582,0.28643963,0.28399217,0.26978847,0.24852751,0.22996907,0.22446464,0.23415053,0.2517132,0.26550362,0.26856917,0.26222813,0.25361124,0.24978773,0.25204834,0.2563589,0.25725463,0.2526669,0.24362652,0.23213635,0.22031982,0.21140909,0.20906085,0.21503574,0.22661518,0.23856415,0.24538602,0.24579787,0.24221127,0.24075918,0.24580348,0.25822404,0.27293167,0.28394827,0.28671852,0.28172514,0.27137566,0.25917503,0.24687135,0.23536964,0.22415303,0.21262671,0.20039473,0.18784101,0.17578237,0.16488673,0.15550391,0.14759804,0.14092855,0.13508444,0.12948875,0.123817265,0.118008435,0.11309225,0.111474514,0.11711147,0.13244992,0.15512669,0.17810579,0.19642983,0.21255636,0.23329258,0.2596335,0.2842112,0.29726782,0.2960875,0.284335,0.26914975,0.25737226,0.25405493,0.25907126,0.26628193,0.2687696,0.2644845,0.25740245,0.25307047,0.25421092,0.25983456,0.2656115,0.26734528,0.26258147,0.2528499,0.24109079,0.2303165,0.22205396,0.21704067,0.21508388,0.21471256,0.2143057,0.2136469,0.21497846,0.2210223,0.23228037,0.24587731,0.25705048,0.26277623,0.26351213,0.26339242,0.26681748,0.27642184,0.29115155,0.3076912,0.3217884,0.3304191,0.33272803,0.3298216,0.32395992,0.3169611,0.3100548,0.30363652,0.29784626,0.29211825,0.2850395,0.2746504,0.25927702,0.23845057,0.21303272,0.18528664,0.15831958,0.13539805,0.11876294,0.109040946,0.10524675,0.1054521,0.10740762,0.10920466,0.109606385,0.10926721,0.11146138,0.12295992,0.14907311,0.18905951,0.23197652,0.26523498,0.2820914,0.28677672,0.2868122,0.2873396,0.2896137,0.2934315,0.29836187,0.30103898,0.29728416,0.28491616,0.26899254,0.25847864,0.26059353,0.27393833,0.290522,0.30040434,0.2973307,0.28092763,0.258416,0.24334715,0.24741109,0.27192238,0.3055749,0.33458057,0.351648,0.35830548,0.35881284,0.35617197,0.3516861,0.34576467,0.33760667,0.32427943,0.30381608,0.27824274,0.2557377,0.24497801,0.24912506,0.26138186,0.27029422,0.26796976,0.25722063,0.2507452,0.262374,0.29710028,0.34476164,0.3863906,0.40468112,0.39500105,0.3655776,0.3326162,0.3114442,0.31021306,0.3270221,0.3526764,0.3772464,0.39507425,0.4057332,0.41100585,0.41285908,0.4124106,0.41028014,0.405852,0.39726898,0.38298357,0.36527646,0.35251912,0.35474995,0.37576067,0.4067668,0.43234634,0.43955612,0.426905,0.4011474,0.37384427,0.35277185,0.34104553,0.33383933,0.32533583,0.31075266,0.2921454,0.27614966,0.2739114,0.2941028,0.33660886,0.3891212,0.4342936,0.4613464,0.47171545,0.4750874,0.47885546,0.4826751,0.47850513,0.4591968,0.4231465,0.37784314,0.3340999,0.30410805,0.2938777,0.3028089,0.32020804,0.33382103,0.33503368,0.32581484,0.3148184,0.31310725,0.327384,0.35600832,0.38838497,0.41022173,0.41337204,0.40173614,0.38926458,0.39044562,0.4117062,0.44840932,0.48901343,0.52216893,0.5410953,0.5438123,0.5299879,0.5022662,0.46739903,0.43808928,0.42623878,0.4373622,0.465175,0.4948871,0.50927633,0.49801287,0.46278456,0.4162312,0.3740311,0.34621915,0.33340776,0.32823107,0.3204298,0.30161664,0.27162954,0.24120617,0.22857074,0.24875224,0.30300787,0.37987503,0.45900473,0.5219404,0.55294585,0.5503325,0.5247417,0.498643,0.48792413,0.49519786,0.50858456,0.5149233,0.5085034,0.49387825,0.47888076,0.46809998,0.45977,0.45040464,0.4366093,0.41711482,0.39018264,0.35690176,0.3206549,0.2879102,0.2634147,0.249584,0.24504775,0.24644841,0.24883284,0.24825417,0.24328554,0.23569345,0.22833668,0.2229928,0.21961154,0.21732719,0.21603084,0.21640556,0.22027117,0.22972132,0.24673855,0.26964667,0.29264438,0.30829227,0.31549802,0.32114732,0.33488342,0.35888258,0.38520357,0.40134993,0.39868104,0.37844884,0.35109413,0.33306536,0.33702716,0.36563823,0.408847,0.4521911,0.48462757,0.50265145,0.50687,0.4979832,0.476365,0.44314754,0.40271685,0.36123323,0.3263243,0.30258974,0.29049703,0.2850591,0.2802221,0.27184722,0.25967738,0.24586803,0.23300976,0.22293675,0.21568303,0.21042578,0.20624495,0.20405777,0.20525368,0.21044856,0.21754523,0.22326748,0.22487724,0.22233458,0.21807182,0.21556622,0.21653605,0.21985318,0.22241731,0.22224315,0.21971357,0.21699154,0.21555518,0.2152341,0.21493429,0.2142493,0.21433334,0.21673752,0.22294927,0.23413195,0.25222698,0.2768821,0.30484322,0.33052507,0.35606173,0.3883876,0.43584967,0.4886756,0.5293918,0.5358086,0.5076982,0.45608863,0.4061214,0.37314034,0.36446333,0.37173548,0.38429725,0.39353633,0.39894304,0.4028454,0.40695348,0.411804,0.42023015,0.43932012,0.47432852,0.5221629,0.56804436,0.5959003,0.598808,0.58395654,0.5648725,0.5520757,0.5490027,0.55481744,0.56810164,0.5890247,0.6143759,0.6379728,0.649245,0.6442385,0.6247811,0.59979534,0.57613504,0.5586304,0.54924035,0.5484825,0.5554947,0.5673147,0.577616,0.5774862,0.5589022,0.5238886,0.48276284,0.4490372,0.42720905,0.41467524,0.4076009,0.40800872,0.42213038,0.45017457,0.4851224,0.51392263,0.53287387,0.542988,0.54958063,0.5488792,0.5392547,0.52081764,0.5023185,0.4894172,0.48582622,0.48853543,0.4926139,0.49011138,0.47721827,0.45606092,0.43488395,0.42026922,0.4131978,0.4098959,0.40807405,0.4100635,0.419722,0.4354911,0.45050168,0.45947024,0.46617472,0.47697687,0.49209118,0.5026043,0.5025775,0.49497852,0.4893516,0.49028262,0.4960134,0.5030629,0.51252824,0.52899426,0.5513332,0.5711816,0.5749268,0.55998856,0.53359705,0.51030153,0.49565542,0.48898277,0.48553804,0.4854556,0.4904666,0.5021749,0.5169065,0.5294025,0.5351202,0.53701407,0.5395863,0.54639316,0.5539468,0.55955577,0.5616353,0.56231594,0.56227344,0.56318474,0.566014,0.57169294,0.5785644,0.5855608,0.5926189,0.6011755,0.6107368,0.6185903,0.621155,0.61583567,0.6027859,0.58203334,0.5537172,0.51735806,0.47753838,0.4430829,0.4234945,0.4206736,0.42803955,0.43535542,0.43572447,0.42833686,0.4167322,0.40620688,0.40156683,0.40645432,0.4211357,0.44113195,0.4586816,0.46903464,0.47374114,0.47637868,0.47613266,0.47030222,0.46106598,0.45765612,0.46603346,0.48600665,0.5087933,0.52726823,0.53214616,0.52315825,0.50413275,0.48837575,0.48185098,0.48532,0.49050054,0.4933281,0.4926134,0.4956708,0.50677186,0.5273109,0.54757863,0.562455,0.56874007,0.5700209,0.56091994,0.53515774,0.48743418,0.42462352,0.35999635,0.3097725,0.2830557,0.27713177,0.27799284,0.27108884,0.2523902,0.22936736,0.2142318,0.21458732,0.23112272,0.25874212,0.2922931,0.32945955,0.36875674,0.4052844,0.4312954,0.44163084,0.43711945,0.42191684,0.40152374,0.38195467,0.36963627,0.3672762,0.3722628,0.3794788,0.38769817,0.4016018,0.42736924,0.46386823,0.50125366,0.527082,0.5363068,0.53051054,0.5131622,0.4872466,0.45889387,0.43881497,0.43505827,0.45013365,0.47682425,0.5050377,0.5212111,0.52070624,0.50683117,0.49234566,0.48389456,0.48049542,0.4722087,0.45385513,0.4282597,0.41176927,0.4170507,0.4472423,0.48431703,0.51276684,0.52151006,0.5160118,0.4977441,0.47150335,0.43871045,0.40715912,0.38236547,0.3692918,0.3679832,0.3749305,0.38353482,0.38898888,0.39024505,0.38814238,0.38264695,0.37299466,0.36060432,0.3485068,0.34337935,0.3513001,0.375918,0.4091108,0.43764332,0.4498717,0.44826856,0.44224405,0.44152793,0.44706377,0.45522022,0.46000955,0.45753416,0.44468367,0.4229207,0.39900088,0.38616383,0.39350405,0.42062536,0.45543906,0.48615375,0.50384265,0.5049338,0.48854616,0.46255127,0.44196638,0.4408398,0.46193984,0.49275303,0.5147291,0.51238245,0.48852885,0.46034417,0.45139924,0.46839607,0.49939647,0.5186977,0.509812,0.47446445,0.436277,0.42003945,0.43771192,0.47708425,0.5199263,0.5482219,0.5546065,0.53284097,0.48862424,0.43629348,0.39856175,0.3889281,0.40780786,0.44324902,0.47972634,0.50633717,0.51922846,0.5199278,0.50663096,0.47637203,0.4298112,0.37825987,0.33658564,0.31750917,0.32522503,0.35660782,0.39866492,0.43400863,0.4479349,0.43852425,0.41562238,0.3946788,0.3858768,0.3907186,0.40235412,0.4145191,0.42345443,0.43155408,0.4414554,0.45826027,0.47958255,0.49680555,0.49348733,0.4646217,0.4189917,0.376888,0.34974518,0.33688757,0.3288896,0.31855118,0.30360258,0.2849228,0.26456788,0.24488139,0.23021959,0.2256635,0.23479788,0.25546357,0.2805532,0.30157068,0.31427613,0.3191105,0.31934202,0.31753266,0.3154018,0.31402683,0.31401968,0.31405568,0.31074062,0.3013585,0.28759813,0.27622643,0.27406478,0.28195348,0.29279944,0.2964791,0.28653672,0.26428518,0.23678182,0.21274793,0.19825767,0.19648017,0.20601314,0.22336955,0.24407609,0.27065074,0.30780312,0.35925058,0.41580498,0.46557784,0.49680504,0.51007074,0.50890094,0.5032831,0.49868557,0.49970317,0.50187635,0.50213027,0.49624047,0.48758304,0.47976685,0.48350576,0.5026188,0.53487957,0.56230974,0.5727628,0.5627051,0.5453265,0.53121704,0.5266947,0.52987885,0.54008657,0.55759734,0.5809863,0.60301375,0.6123121,0.60304636,0.578824,0.5505219,0.5258057,0.507539,0.49391365,0.48543486,0.48362935,0.49443698,0.5178075,0.54801804,0.5683194,0.57015896,0.55451983,0.53583354,0.52251154,0.5161952,0.5115401,0.50744367,0.5075748,0.51781976,0.53955156,0.56844383,0.59669656,0.61931205,0.6327166,0.63541913,0.6249267,0.6042259,0.5788806,0.5568202,0.54141474,0.5328235,0.52758336,0.5209353,0.5094221,0.4926066,0.4739543,0.45664975,0.44261774,0.4311564,0.42161974,0.41341794,0.4072796,0.4039521,0.40592313,0.41724464,0.4444263,0.48732314,0.5360809,0.5702546,0.5777591,0.56075335,0.5365762,0.5184059,0.51075315,0.5101722,0.5164394,0.53263193,0.5595352,0.58909297,0.6082178,0.60941344,0.5958858,0.57572347,0.5521849,0.5246679,0.49454883,0.4708214,0.46308982,0.4782486,0.51166975,0.5520975,0.5805938,0.5872167,0.5717242,0.54712534,0.52374536,0.507278,0.49689305,0.49311733,0.4976395,0.5125521,0.5352897,0.5610971,0.58365726,0.6019853,0.6137433,0.6170615,0.6060572,0.58250874,0.5526541,0.5269545,0.509833,0.5001316,0.49418202,0.48977312,0.49107757,0.49892712,0.5090677,0.5054042,0.4799905,0.43660453,0.39408532,0.365172,0.3528329,0.35017753,0.35418105,0.36776528,0.3999443,0.4508884,0.5094668,0.55131847,0.5630595,0.54603267,0.51924115,0.49657652,0.48435795,0.48007903,0.48361814,0.4971036,0.52149874,0.5505173,0.5722299,0.5773115,0.5664034,0.5475982,0.52798396,0.50924236,0.49051192,0.47448206,0.46704912,0.47610235,0.5017516,0.5362961,0.5623401,0.5703194,0.56042105,0.5456901,0.5346787,0.5300064,0.5271854,0.5243509,0.52340597,0.5291515,0.54243606,0.5600831,0.575742,0.5892596,0.5999163,0.60671145,0.60018176,0.5781648,0.5447792,0.51394004,0.49332094,0.48439893,0.48143494,0.4791534,0.47495723,0.4689248,0.46257606,0.45574713,0.44817483,0.4393632,0.4307201,0.4231448,0.41743973,0.41308737,0.41231057,0.41969666,0.44334987,0.4828999,0.5281399,0.5573153,0.55945057,0.53732723,0.5099289,0.49040934,0.48427534,0.4876257,0.499319,0.5202208,0.5506852,0.58319926,0.60455704,0.6049807,0.58710486,0.5637474,0.5459363,0.53621316,0.5298584,0.5249943,0.5239031,0.5334346,0.55375713,0.57900864,0.59599227,0.60060555,0.5942851,0.5854521,0.573823,0.5608763,0.5474943,0.54076964,0.5410566,0.54520434,0.547342,0.5458737,0.54128337,0.5332597,0.52135706,0.5057396,0.4904206,0.47887743,0.47363874,0.47254053,0.4723685,0.46747777,0.45267996,0.4232181,0.38121656,0.33631274,0.30292723,0.29006377,0.2967448,0.3136998,0.33092466,0.34239498,0.34685168,0.34521005,0.34025502,0.33666477,0.34390482,0.367995,0.40620315,0.44059575,0.45541063,0.44682816,0.42793396,0.41077352,0.39953712,0.39099768,0.384143,0.3798379,0.37940797,0.38215795,0.38817534,0.3970493,0.40711716,0.41519287,0.41765925,0.41371727,0.40397438,0.39156762,0.3784205,0.36608708,0.35496858,0.3461152,0.34069857,0.33860376,0.33779445,0.3357571,0.33180213,0.32803237,0.32677698,0.32856652,0.3308991,0.33099887,0.32753065,0.321012,0.3119049,0.29983214,0.28506425,0.26966238,0.25690082,0.2485742,0.24400818,0.24107534,0.23816489,0.2349273,0.23202229,0.23044796,0.23105025,0.23357648,0.23686142,0.23940402,0.24083036,0.24137308,0.24142122,0.24058695,0.23876454,0.23580945,0.23188247,0.22658964,0.2203924,0.2143551,0.21011154,0.20805077,0.2076097,0.20767903,0.20770507,0.20750292,0.2071758,0.2068042,0.20632623,0.20562607,0.20469774,0.20388864,0.2031842,0.20216982,0.20022593,0.19774419,0.19560997,0.19455801,0.19423302,0.19411576,0.19383751,0.19326682,0.19190836,0.18958707,0.18701155,0.18583377,0.18723206,0.19126958,0.19670705,0.20216079,0.20639706,0.2089333,0.20928882,0.2071243,0.20188896,0.19428676,0.1859926,0.17925496,0.17475872,0.17208444,0.17077027,0.1713614,0.17443329,0.17918049,0.18389213,0.18682861,0.18730469,0.18504097,0.18044943,0.17445843,0.16853881,0.16327773,0.15772484,0.14983493,0.13954486,0.13126247,0.13409434,0.15480833,0.19278784,0.23887847,0.2868044,0.3350356,0.38422737,0.4252609,0.4465879,0.44334134,0.42454374,0.40204394,0.38170907,0.36306432,0.3461946,0.3342711,0.3304646,0.3344907,0.34333834,0.3536806,0.36325052,0.37075236,0.37398732,0.37193164,0.36397216,0.35291645,0.34162942,0.3338063,0.32998478,0.3285345,0.32563788,0.31906113,0.30964938,0.30050257,0.294326,0.29130152,0.2900674,0.2888941,0.28692332,0.28344908,0.27786705,0.26974955,0.25929976,0.24726422,0.23470806,0.22280715,0.21248323,0.20384352,0.19637589,0.18973453,0.18460546,0.18245405,0.18430652,0.18989359,0.19755466,0.20522846,0.2112207,0.21436067,0.21396957,0.20970859,0.20213948,0.19258434,0.18287654,0.17461753,0.16903573,0.16735983,0.17113537,0.18137346,0.19695376,0.21364535,0.22649503,0.2328078,0.23417746,0.23374929,0.23397969,0.23517005,0.23759593,0.24172729,0.24816757,0.25607082,0.2638043,0.26966754,0.27297023,0.2734333,0.27092144,0.26523447,0.2571952,0.24839248,0.24085708,0.23554836,0.23254202,0.23061033,0.22795838,0.22252476,0.21375759,0.2036414,0.19658454,0.19815148,0.21233289,0.24000545,0.27664292,0.3144255,0.3445373,0.36201787,0.36653712,0.36190578,0.35316607,0.3443192,0.33736995,0.33233893,0.32883012,0.32663473,0.3263422,0.32856688,0.3333939,0.3395475,0.34453216,0.3456924,0.3417425,0.333071,0.3205504,0.30401883,0.2836035,0.26270726,0.24982844,0.25315717,0.27414298,0.305666,0.34122244,0.3796519,0.42236236,0.46380472,0.49481535,0.5107756,0.51602435,0.5157767,0.5105612,0.49947312,0.48542824,0.47412026,0.46825004,0.4667691,0.46759248,0.4697658,0.47204497,0.47280657,0.470459,0.46567455,0.45902148,0.45148015,0.4424056,0.43240288,0.42224732,0.41339862,0.4064599,0.40128016,0.3976622,0.3949276,0.3921875,0.38762614,0.3803399,0.370286,0.3590316,0.34767023,0.33727208,0.3279086,0.31984577,0.31298602,0.30763173,0.30440873,0.30390394,0.30612144,0.31010103,0.3146492,0.31848833,0.32058978,0.32041088,0.3186725,0.316941,0.31660077,0.31758443,0.31890118,0.31903452,0.31668338,0.31075025,0.3014281,0.29051316,0.28078282,0.27424335,0.2708623,0.2687695,0.2649068,0.25677094,0.24351968,0.22731034,0.21172209,0.19999625,0.19283499,0.18940176,0.1880603,0.18741184,0.18554734,0.18080066,0.1723075,0.16126002,0.15011697,0.14166947,0.13706104,0.13555916,0.13523065,0.13514124,0.13582109,0.1383184,0.14229597,0.14617543,0.14867729,0.15018855,0.15226157,0.1558951,0.16064693,0.16501687,0.1677531,0.16856743,0.16810828,0.16735907,0.16709693,0.16766626,0.16909842,0.17114967,0.1730464,0.17344594,0.17076676,0.16468167,0.15641938,0.14901306,0.14510223,0.14612992,0.15066223,0.15567422,0.15754987,0.15483326,0.148566,0.14166427,0.13617285,0.1321333,0.12767307,0.12121865,0.11257032,0.10330972,0.095192336,0.08928912,0.08525592,0.08227306,0.0797422,0.077973604,0.07770734,0.07957981,0.083500825,0.088887066,0.094711244,0.100109,0.10435378,0.10732788,0.10910222,0.109882206,0.10977026,0.10901181,0.10803769,0.10709552,0.10612015,0.104588486,0.10203573,0.098195754,0.09346068,0.08866375,0.0849394,0.08330815,0.08473494,0.089741565,0.09792472,0.10745806,0.11595112,0.12156737,0.124005884,0.124108024,0.12320733,0.12234352,0.12194902,0.12199374,0.12222888,0.12247997,0.12245342,0.121909715,0.120767675,0.11931328,0.11775693,0.11608762,0.113888495,0.11081475,0.106487125,0.10091857,0.09441352,0.087928355,0.08251596,0.07893682,0.07716822,0.0766569,0.07670879,0.07677475,0.07648748,0.07563429,0.07424064,0.07255957,0.070853494,0.06910401,0.0669491,0.06401836,0.06036311,0.056572273,0.053470265,0.05160162,0.0509747,0.05113439,0.051571,0.052053526,0.05271578,0.05381559,0.055427134,0.057269435,0.05873857,0.05913581,0.058013547,0.055469107,0.05216546,0.048990708,0.046609733,0.04521865,0.044620287,0.044537008,0.044752423,0.04516935,0.045580193,0.04568931,0.045080576,0.04349034,0.040891487,0.037623614,0.034228195,0.031264547,0.02906944,0.027678594,0.02684796,0.026229484,0.025547251,0.02475104,0.024039283,0.023900466,0.02498024,0.027636869,0.031375606,0.03485623,0.036952928,0.03758494,0.037700325,0.03777911,0.037692856,0.03696182,0.03622669,0.036380067,0.038177688,0.041186046,0.04467522,0.047651377,0.049243677,0.048434865,0.044547785,0.037618287,0.028696781,0.019460822,0.011568669,0.0059621315,0.0026922934,0.0011556855,0.0005983777,0.00044501087,0.00040173103,0.00036761782,0.0003271709,0.00028487048,0.00024524695,0.00021080172,0.00018245618,0.00015970432,0.0001413551,0.00012580879,0.00011173778,9.855002E-05,8.6332315E-05,7.529819E-05,6.525285E-05,5.558439E-05,4.589057E-05,3.6426292E-05,2.8096365E-05,2.1730497E-05,1.7554043E-05,1.5128731E-05,1.3782296E-05,1.29811915E-05,1.2448941E-05,1.2099475E-05,1.1950762E-05]