[0.20802197,0.20593984,0.20122756,0.19481973,0.1881914,0.1822566,0.17729433,0.17320788,0.17003363,0.16784452,0.16578029,0.16226302,0.1559184,0.14694558,0.13717501,0.12885503,0.123583354,0.121638,0.122301854,0.12400172,0.12509207,0.12453141,0.122442186,0.11962084,0.11684459,0.114525415,0.11284397,0.11173192,0.11052883,0.10838235,0.10537672,0.10369408,0.10653252,0.11551372,0.12849146,0.14090873,0.14895727,0.15204561,0.15175997,0.15010256,0.14823437,0.14699763,0.14658906,0.14629227,0.14450769,0.14023095,0.13402009,0.12775774,0.12319178,0.1212854,0.121777035,0.12390604,0.12600762,0.12667741,0.12456543,0.1198257,0.11389792,0.110554375,0.11375109,0.1254632,0.14256473,0.15902106,0.16902445,0.1711257,0.16694456,0.1597295,0.15170978,0.14453131,0.1388663,0.13497855,0.13242692,0.13062002,0.1291021,0.12774707,0.12659234,0.12535946,0.12345164,0.120149605,0.11558709,0.11101446,0.10837769,0.10859948,0.11075298,0.11259293,0.11227989,0.109147884,0.10313472,0.094153486,0.08239166,0.06936249,0.057957437,0.051516313,0.052076668,0.05943054,0.07095694,0.082868636,0.09170127,0.095939405,0.09692091,0.0988203,0.10710845,0.12519534,0.1519357,0.1813652,0.20647563,0.22220223,0.2271653,0.22187994,0.20805101,0.18784572,0.16443446,0.14139394,0.121831715,0.107397474,0.09807989,0.093298726,0.09339812,0.099927366,0.114120305,0.1345386,0.15714262,0.17691208,0.1905645,0.19678049,0.19627328,0.19079281,0.1832328,0.1760981,0.1704853,0.165305,0.1587405,0.14989857,0.13994534,0.13194601,0.13009347,0.13770974,0.15494557,0.17714536,0.19739969,0.21021216,0.21488328,0.21375625,0.2101805,0.20599365,0.20231237,0.19918992,0.19623421,0.1920659,0.18560272,0.17679167,0.16726528,0.15916948,0.15362507,0.15003055,0.14682311,0.14320587,0.13953865,0.13677019,0.13506328,0.13382839,0.1324066,0.13074778,0.12915534,0.12737578,0.12462607,0.119858555,0.113357864,0.107090004,0.104973994,0.11013933,0.12291149,0.13933797,0.15419233,0.16383448,0.16821705,0.16913867,0.16852494,0.1673397,0.165756,0.16342781,0.15957253,0.15389204,0.14687599,0.140127,0.13498764,0.13224895,0.13154434,0.13226531,0.13351166,0.13448526,0.13422924,0.13192797,0.12750904,0.12226626,0.118799664,0.11933545,0.12410455,0.13098472,0.1375464,0.142594,0.14641191,0.14908458,0.15025292,0.14935368,0.14675431,0.14300461,0.13860087,0.13334572,0.12741886,0.121397786,0.11670768,0.11444106,0.11503762,0.117393404,0.11987082,0.12102938,0.12099718,0.120729916,0.12116763,0.12194965,0.12200466,0.120209165,0.11621318,0.11000908,0.10195281,0.092648245,0.08348613,0.07606561,0.07190293,0.071653664,0.07545477,0.0825491,0.09151968,0.09994978,0.10553279,0.10678012,0.104213804,0.0996449,0.09543133,0.09278292,0.09184345,0.09173339,0.09167052,0.09093648,0.089300394,0.08675552,0.08359272,0.07988482,0.07550179,0.0703338,0.06485177,0.0600493,0.057240393,0.058026683,0.06435754,0.07779539,0.097721286,0.1203956,0.14007704,0.15217306,0.15580328,0.15431963,0.15336019,0.1573925,0.16689187,0.17791484,0.18490644,0.18371028,0.17315443,0.15505151,0.1349673,0.121923,0.12484154,0.14645948,0.18041313,0.21518242,0.24080758,0.2532277,0.2532831,0.2450345,0.23312734,0.22127907,0.20909995,0.19469225,0.17745917,0.16347302,0.1596697,0.1698506,0.18829988,0.20663165,0.21761133,0.2205656,0.21805036,0.2139649,0.21097241,0.20916982,0.20567775,0.19511755,0.17446607,0.14637278,0.120117806,0.10480178,0.10338583,0.11076861,0.12069389,0.13183393,0.14837141,0.17338668,0.20315872,0.22824426,0.23933177,0.23354976,0.21432205,0.1887606,0.16292317,0.14090355,0.12394867,0.11174641,0.10263235,0.09516504,0.088555805,0.083013184,0.07856798,0.0746819,0.07012281,0.064313166,0.05755076,0.050964486,0.045859676,0.04443725,0.05072851,0.06907794,0.10065758,0.13975595,0.17609872,0.20026328,0.20929758,0.20664878,0.19894503,0.19293922,0.19323395,0.20138983,0.21393566,0.22376989,0.22246706,0.20630573,0.17914201,0.1530041,0.14030878,0.14687304,0.16702694,0.18982089,0.20572464,0.21233837,0.21145494,0.20537694,0.19351937,0.17395096,0.1465849,0.11653417,0.09307141,0.08507955,0.09422373,0.11331591,0.12927912,0.13176607,0.11803154,0.09464887,0.0728386,0.06384616,0.07350723,0.100396134,0.13677081,0.1739393,0.20602252,0.23104072,0.247849,0.25563875,0.2544439,0.24684204,0.23643124,0.22635275,0.21821798,0.21260123,0.20929317,0.20742,0.20584677,0.20379229,0.20155422,0.20055676,0.20297901,0.21009187,0.22089015,0.23135601,0.23690687,0.23443024,0.22455238,0.20996924,0.1952147,0.18436474,0.18060334,0.18374191,0.19053793,0.19622934,0.19713156,0.19230294,0.18354815,0.17586415,0.17490411,0.1835057,0.19748206,0.2078168,0.20667009,0.19343019,0.17471606,0.15983458,0.15595593,0.1647016,0.1815031,0.19665648,0.20019823,0.18727803,0.16134246,0.13238277,0.11157617,0.10699303,0.1194937,0.14311555,0.16597913,0.17746119,0.17286532,0.15649639,0.13681065,0.1211805,0.111670315,0.10582712,0.09950017,0.09082363,0.08101197,0.07342217,0.070450835,0.07425239,0.08650947,0.10841849,0.13644336,0.16311191,0.18045115,0.18690878,0.18710427,0.18767284,0.19084363,0.19373865,0.19179057,0.18381502,0.17420304,0.17040122,0.17706285,0.19107111,0.20183001,0.19831188,0.17651136,0.14266627,0.108448,0.084685676,0.07618565,0.082023226,0.09766176,0.11899537,0.14347,0.1695749,0.1945044,0.21487702,0.22888146,0.2373554,0.24189202,0.24196775,0.2357902,0.22192149,0.20164327,0.17735952,0.15223108,0.12854217,0.108316064,0.09226749,0.08029642,0.0713102,0.06426026,0.058236834,0.052745912,0.047516953,0.04269143,0.038796883,0.036587346,0.03632738,0.037615534,0.039342895,0.0405629,0.040369183,0.03847957,0.035330344,0.03281553,0.032932907,0.03596342,0.039954375,0.04384387,0.050941307,0.06839606,0.10096425,0.14627738,0.19457151,0.23525672,0.26028353,0.2665155,0.254658,0.23115802,0.20711638,0.19383354,0.1962893,0.20980175,0.223936,0.22873344,0.22071485,0.20307624,0.18241401,0.16390985,0.14949442,0.14067794,0.14075677,0.15415032,0.17994565,0.20967261,0.23012896,0.23277067,0.21878053,0.19835925,0.1841015,0.18430452,0.1996386,0.22316967,0.24523847,0.2580751,0.26207522,0.26576725,0.28528252,0.33119735,0.40072587,0.46837822,0.5041391,0.48798832,0.42887977,0.35157004,0.2835118,0.23613636,0.20688711,0.18560672,0.16529179,0.14597835,0.13271712,0.1308124,0.1412703,0.16026826,0.17971937,0.1911059,0.18892403,0.17558213,0.1601401,0.15342043,0.1600127,0.17582017,0.1913107,0.1975892,0.19089048,0.17365356,0.15333812,0.13913727,0.13660805,0.14467193,0.15626575,0.16531278,0.17016529,0.17388447,0.17819645,0.18225832,0.18289973,0.17854702,0.16923957,0.15664826,0.14248316,0.12846448,0.11570055,0.10491586,0.09623787,0.09045567,0.08900235,0.09422261,0.104893856,0.1160956,0.11966008,0.11364484,0.10262248,0.09635031,0.099446975,0.11191124,0.13058414,0.15403904,0.1798469,0.20351706,0.21982323,0.22744502,0.229105,0.22847658,0.22666395,0.22415423,0.22164024,0.21975778,0.21542925,0.20485461,0.18762857,0.17065711,0.16257149,0.1675572,0.18116768,0.19482791,0.20165224,0.20122682,0.19914162,0.20311911,0.21777833,0.24034603,0.26067272,0.2656876,0.24704833,0.20733659,0.15967847,0.12133202,0.103323944,0.10551564,0.11733899,0.1260458,0.12326931,0.109402984,0.091684826,0.08071801,0.08484072,0.10638982,0.14046639,0.17838843,0.21215184,0.2373906,0.25254962,0.2577695,0.25411904,0.2440471,0.23062485,0.21680723,0.20451601,0.19486801,0.18805593,0.18391211,0.18180096,0.18170871,0.18410188,0.19036846,0.20030575,0.21163392,0.21919577,0.21903686,0.20978558,0.19406898,0.17560954,0.15812169,0.1441316,0.1351056,0.13104486,0.1302849,0.13021982,0.12858431,0.12532711,0.12500082,0.13859059,0.18049826,0.25641754,0.3510072,0.42761374,0.45082864,0.4105774,0.331112,0.25072992,0.19761415,0.1757108,0.17248511,0.17217539,0.16693471,0.15814066,0.15350795,0.16003571,0.17898996,0.20173603,0.21458046,0.20605618,0.1768477,0.1386883,0.10784304,0.093640946,0.095191546,0.10375159,0.11063704,0.11225947,0.11132998,0.11316145,0.12103826,0.13387506,0.14738841,0.1578954,0.1645934,0.16997331,0.1763993,0.18396483,0.18925838,0.18899862,0.1821189,0.17093922,0.15811524,0.14506191,0.13167953,0.11794067,0.104811914,0.0935315,0.08507138,0.08025492,0.08065456,0.0877949,0.0995541,0.10953361,0.110397905,0.102625035,0.09525535,0.10006828,0.12071309,0.1511144,0.18124801,0.20404285,0.21715546,0.21985467,0.21285236,0.19795944,0.17910846,0.1599162,0.1440838,0.1352188,0.13723968,0.15122606,0.17406,0.19893916,0.21974604,0.23340274,0.24049436,0.24267013,0.24111988,0.23578513,0.22632743,0.21352614,0.19981776,0.18943481,0.18596439,0.19131656,0.20292245,0.21548861,0.22221248,0.2204578,0.2122481,0.20316996,0.19638841,0.1905464,0.18069196,0.16281183,0.1377167,0.112051226,0.09592799,0.09669197,0.11433178,0.14023715,0.16331755,0.1758743,0.17739163,0.17136498,0.16164279,0.1496668,0.13533604,0.11864061,0.10060053,0.08318243,0.06781227,0.05527089,0.04604892,0.042507168,0.047825906,0.06364644,0.086654305,0.10991297,0.12670086,0.13442798,0.13477105,0.13139968,0.12769474,0.12549524,0.124646366,0.122929245,0.11710122,0.10483525,0.086402714,0.06479022,0.04421698,0.028192496,0.02111899,0.031444415,0.07448713,0.16066195,0.28067264,0.39602295,0.4608576,0.4509636,0.38192073,0.2925305,0.21820106,0.17397465,0.15709062,0.1579279,0.16716397,0.17919642,0.19071716,0.20074767,0.20943709,0.21914262,0.23136468,0.24460952,0.2526809,0.2502488,0.23727326,0.21972917,0.20362933,0.19051592,0.17845602,0.16528319,0.15143652,0.1380241,0.1276467,0.12278998,0.12674414,0.13959347,0.15965243,0.18369968,0.21042442,0.23778759,0.26290336,0.28136298,0.29159558,0.29641813,0.30486813,0.32841662,0.3727243,0.428218,0.47015962,0.4744356,0.43552092,0.3714223,0.30999672,0.2705127,0.25461397,0.24990724,0.24104391,0.2205735,0.19192852,0.16500193,0.14748932,0.14189737,0.14735256,0.1618798,0.1837766,0.21146818,0.24709523,0.29232532,0.34380397,0.38899052,0.4184432,0.43444976,0.44919327,0.46775568,0.4844779,0.49306688,0.4957429,0.49618447,0.4869063,0.45536253,0.3966335,0.32313517,0.25297993,0.20019867,0.1679074,0.15359974,0.1525052,0.16127105,0.17511351,0.18651058,0.1857553,0.16918188,0.1440836,0.12477916,0.12147677,0.1325307,0.1496225,0.16548388,0.17938131,0.19257458,0.20505528,0.21453619,0.21949707,0.22085004,0.22080576,0.22172779,0.22462036,0.22993083,0.23661287,0.24300335,0.24655874,0.247835,0.25258842,0.27274263,0.31621978,0.37598863,0.4265106,0.43988347,0.4070147,0.34441924,0.2814205,0.24031465,0.22862129,0.24010651,0.26427606,0.29352248,0.330435,0.37929264,0.43508032,0.47529697,0.47707656,0.43580964,0.3720235,0.31377497,0.27742794,0.26227263,0.2588868,0.2619429,0.27442133,0.30577,0.35818017,0.41962484,0.46309873,0.46753553,0.42952013,0.36768112,0.30464604,0.2564839,0.22614293,0.20989136,0.20146273,0.19680206,0.19400479,0.19303036,0.19448261,0.19909517,0.2070908,0.21460883,0.2151088,0.20208353,0.17819037,0.15224443,0.134697,0.12755531,0.12864678,0.1350716,0.14760743,0.16577017,0.18610732,0.20308095,0.21293426,0.2155629,0.21417117,0.21443075,0.22131914,0.2362953,0.25530076,0.2718461,0.2803072,0.2794626,0.27473706,0.27915248,0.30725226,0.3600749,0.41689768,0.44497344,0.42636678,0.37072262,0.3066405,0.25742814,0.2318704,0.2248245,0.2276194,0.22940384,0.22397846,0.2089343,0.1888405,0.1689166,0.15532207,0.15239596,0.16256846,0.18514313,0.21737428,0.25882497,0.30708766,0.35591266,0.39327678,0.41522717,0.42740294,0.4403366,0.45449778,0.46538174,0.4710069,0.4742453,0.4714562,0.45052135,0.403911,0.33922037,0.2758569,0.22862023,0.20161258,0.18966037,0.18712366,0.19015801,0.19771834,0.20637667,0.20963593,0.19905488,0.17423706,0.14472583,0.1259528,0.1258834,0.1407034,0.15808007,0.16639894,0.16053677,0.14343944,0.12501903,0.116969705,0.12635598,0.15104109,0.18318109,0.21621884,0.24924767,0.28497577,0.3261572,0.3728101,0.42033574,0.45955488,0.4823577,0.49027947,0.4922217,0.49383005,0.48619333,0.45643166,0.40102097,0.33551478,0.28171077,0.25595623,0.25906754,0.2804781,0.30588686,0.32984746,0.35746822,0.39417577,0.4310758,0.44661036,0.4256314,0.37402377,0.3160442,0.27662498,0.2713013,0.2997092,0.3478024,0.39178312,0.41667125,0.42552707,0.43396735,0.44674787,0.45114335,0.43069085,0.38509902,0.33103526,0.28691754,0.26061714,0.24884893,0.24456386,0.24180712,0.2379741,0.23276132,0.2279091,0.22539149,0.22678864,0.2297964,0.22798131,0.21296684,0.18250449,0.1432326,0.106936745,0.081843816,0.06948445,0.06824941,0.0764717,0.092869125,0.11342444,0.13425006,0.15284096,0.17051011,0.18781318,0.20446257,0.2192102,0.23233779,0.24464099,0.254981,0.26094937,0.25951412,0.2525092,0.24776094,0.26060298,0.30133036,0.36342037,0.41786304,0.43318868,0.39913476,0.33591554,0.27661747,0.24341936,0.2371909,0.24369253,0.2461661,0.2353702,0.21248388,0.18667184,0.1670404,0.15775974,0.15708649,0.161745,0.16919519,0.1781088,0.18697995,0.19474423,0.20122595,0.20661366,0.20987584,0.20768364,0.19647652,0.17462535,0.14484124,0.11248275,0.08336073,0.060993638,0.046643317,0.039598975,0.037757453,0.03784758,0.03715546,0.035020947,0.03346122,0.035099767,0.041277137,0.050712924,0.060735125,0.06874075,0.07374042,0.0763261,0.07822945,0.08135422,0.08674065,0.0934217,0.09857464,0.09913123,0.09407359,0.08485516,0.07454641,0.066374995,0.0630896,0.065870725,0.073352166,0.08185556,0.087640025,0.08931858,0.08824649,0.08676663,0.08601177,0.085027605,0.08135113,0.07288338,0.05949131,0.043722164,0.02933946,0.019291662,0.014151382,0.012600113,0.012789819,0.013597955,0.014774188,0.01657763,0.019179069,0.022492714,0.026035503,0.029754154,0.034532297,0.04332745,0.06000511,0.08824708,0.1272344,0.17090394,0.20784605,0.22900958,0.23116715,0.22028457,0.205487,0.19730775,0.20264386,0.22385643,0.25468862,0.28298905,0.29670408,0.29135174,0.27142742,0.24662368,0.2269787,0.21935208,0.22512586,0.23953293,0.25396812,0.26139447,0.26050994,0.25566494,0.25246164,0.25292888,0.25463656,0.25255325,0.2431439,0.22531764,0.20179813,0.17798352,0.16178556,0.15944016,0.17197071,0.1932096,0.2138452,0.22694802,0.23124583,0.22955811,0.22509281,0.21895428,0.21013384,0.19768721,0.18292747,0.1698339,0.16273679,0.16373385,0.17229342,0.1872139,0.20809813,0.2339024,0.26149768,0.28535542,0.301399,0.3085642,0.30949205,0.30694652,0.30241537,0.2949187,0.28318164,0.26741964,0.25114974,0.23884374,0.2325599,0.22944374,0.22583224,0.22208339,0.22394706,0.23614581,0.25724414,0.28042924,0.2999072,0.31446204,0.32569888,0.3347613,0.3406665,0.34181568,0.33661792,0.32523778,0.30897185,0.29085672,0.27383485,0.26080057,0.25311047,0.25063416,0.2512281,0.2521303,0.2511476,0.24752401,0.24136238,0.23319004,0.2232015,0.21038787,0.19189517,0.16479278,0.12977424,0.092726655,0.06262488,0.047031205,0.049812954,0.06977857,0.1007581,0.13258697,0.15616898,0.16775869,0.17001094,0.16787982,0.16645956,0.17102517,0.18812668,0.22074394,0.26442704,0.30665395,0.33632517,0.34941125,0.35069498,0.346397,0.3409171,0.3355068,0.33081377,0.32709113,0.32424068,0.32144776,0.31814244,0.31476375,0.31320167,0.31529087,0.32104382,0.3277969,0.33193877,0.3314214,0.32667267,0.31990418,0.31385997,0.31193712,0.31695879,0.32894012,0.34257245,0.34998807,0.34619573,0.33336306,0.31792292,0.3054233,0.2983621,0.29763433,0.30414417,0.31588033,0.3279535,0.3339603,0.33150485,0.3225719,0.31261265,0.3068945,0.30832544,0.3155385,0.323776,0.32791093,0.32652247,0.32194224,0.31778708,0.31426677,0.30824184,0.2950567,0.27281073,0.2421764,0.20576073,0.16707373,0.13291772,0.11315992,0.1168561,0.14526133,0.18921936,0.23332594,0.26413986,0.27700803,0.27588317,0.2690386,0.26102743,0.2513989,0.23617339,0.21568353,0.19443165,0.17890269,0.17115831,0.17065032,0.17803961,0.19712001,0.22996713,0.27101478,0.30857155,0.33208358,0.3390913,0.3342596,0.32406905,0.31184182,0.29766822,0.28046522,0.2607088,0.24058032,0.22276635,0.20892066,0.20012486,0.19885512,0.20895004,0.23239212,0.26561013,0.29989043,0.3272722,0.34499118,0.35593113,0.36313108,0.36725786,0.3665956,0.36102197,0.3528119,0.34606114,0.34397468,0.34779263,0.3559083,0.36437318,0.3682977,0.36503172,0.35602343,0.34626016,0.34014574,0.33895648,0.34015465,0.33944324,0.3315073,0.31038594,0.27234736,0.21912788,0.16091545,0.110960335,0.08061229,0.07310635,0.08544814,0.1093975,0.13620217,0.15869896,0.17458437,0.18495552,0.19185959,0.19583249,0.19840018,0.20465851,0.22218792,0.25417745,0.2952036,0.3339307,0.36145303,0.37578845,0.38069272,0.38053274,0.37802938,0.37366912,0.36762062,0.36011052,0.3528942,0.3482153,0.34817365,0.3520392,0.35636064,0.35639608,0.34964743,0.3377677,0.325704,0.3188257,0.3196312,0.32690355,0.33689168,0.34590164,0.35201785,0.35498646,0.35567915,0.35527602,0.35615996,0.36014593,0.3666234,0.36936924,0.36016837,0.33430958,0.29630587,0.25702482,0.22713639,0.21074869,0.20568429,0.20702314,0.21176624,0.21784995,0.22360064,0.22459555,0.2185173,0.20507473,0.18910587,0.17516093,0.16787188,0.16796231,0.17330192,0.17781532,0.17662148,0.16909522,0.15977299,0.15337294,0.15142629,0.152667,0.15578085,0.1611694,0.16958107,0.18208434,0.19844292,0.21754555,0.23541228,0.24766834,0.2511852,0.24702246,0.23882043,0.23104282,0.22709501,0.22875543,0.23553564,0.24392618,0.24894767,0.24653475,0.23629381,0.22119851,0.206424,0.19632362,0.1928441,0.1946399,0.1996882,0.20683019,0.2158541,0.2250179,0.23110044,0.23194218,0.22824174,0.22266488,0.21706621,0.21237303,0.2092881,0.20852922,0.20977509,0.21206605,0.21553554,0.22174984,0.23087937,0.24009101,0.24464376,0.2424372,0.23503609,0.22655131,0.22014327,0.21665533,0.21438007,0.21021472,0.20166641,0.18827581,0.17242755,0.1581202,0.15012264,0.15182285,0.16406018,0.18382247,0.20631923,0.2270205,0.24273749,0.25086963,0.24969234,0.24112861,0.2301927,0.22241898,0.21906678,0.21894069,0.2208104,0.22548239,0.23301665,0.24176078,0.2496169,0.25586602,0.26027882,0.2610663,0.255611,0.24313317,0.2266198,0.21099912,0.20013887,0.19464357,0.1925361,0.19151247,0.19130404,0.19406955,0.20178097,0.21327995,0.22330908,0.22607706,0.21899576,0.20529528,0.19161214,0.18498604,0.18742353,0.19570957,0.20254318,0.20400544,0.2004292,0.19622473,0.19342464,0.19271527,0.19377635,0.19836234,0.20709969,0.21844937,0.22767882,0.23047404,0.22533216,0.21543221,0.20665304,0.20407689,0.20852573,0.21628751,0.22224748,0.22344846,0.22042376,0.21560527,0.2115038,0.20975389,0.21052094,0.21251722,0.21393193,0.21514268,0.21871465,0.22742642,0.24076879,0.2554745,0.26710498,0.27279246,0.2714176,0.26479697,0.25629812,0.24970609,0.24636759,0.24564452,0.246116,0.24691202,0.2474085,0.24632461,0.24276285,0.23660867,0.22941808,0.22287798,0.21892321,0.21869826,0.22260027,0.22903621,0.23537378,0.2393725,0.2407613,0.24039744,0.23873411,0.2353562,0.2298124,0.22281587,0.21593206,0.21164669,0.21215127,0.2189507,0.23085153,0.24466832,0.25567105,0.2605565,0.25788194,0.24940364,0.23801075,0.22680622,0.21700059,0.20920615,0.20393646,0.20181155,0.20210719,0.20317453,0.20479614,0.20917124,0.21823514,0.22909142,0.23377298,0.22520351,0.20347542,0.17686571,0.15503864,0.14382268,0.14276725,0.1482219,0.15392135,0.15299864,0.1399384,0.114728354,0.08338801,0.054427937,0.033660155,0.021778172,0.016115805,0.013526563,0.012188266,0.011395796,0.010967859,0.010782912,0.010769906,0.010842829,0.010987185,0.011245317,0.011686468,0.012257704,0.012773358,0.0131210415,0.01342221,0.013997081,0.01499445,0.01628875,0.017625405,0.019046737,0.020828722,0.023235554,0.026134336,0.0294649,0.033893317,0.041873965,0.056776572,0.08111707,0.113362335,0.14809449,0.17823125,0.19986181,0.21336,0.22225404,0.22926418,0.23527561,0.23961912,0.24222045,0.2439451,0.24635355,0.25050446,0.25638184,0.26290634,0.26865903,0.27264318,0.27406597,0.27177688,0.2640356,0.2500787,0.23157601,0.21586342,0.2161091,0.25029585,0.3259223,0.42908475,0.51935583,0.5580035,0.5315128,0.4639975,0.39115775,0.3378161,0.30683863,0.2914982,0.28564823,0.28688473,0.2933326,0.30139026,0.3088459,0.3160709,0.32685816,0.33921853,0.3444257,0.3283393,0.28799722,0.2331357,0.18279235,0.14847194,0.13192344,0.12689294,0.12750198,0.13023281,0.13519867,0.14425687,0.15804684,0.17281197,0.18211277,0.18265368,0.17810655,0.17595102,0.1803449,0.18927468,0.1975801,0.20280212,0.20938402,0.22911163,0.2768454,0.35582626,0.44860816,0.5189829,0.53968453,0.5096539,0.45680317,0.41107428,0.3884054,0.38167882,0.37455463,0.35049137,0.30748585,0.2551127,0.21034653,0.18608476,0.19249882,0.23832625,0.32326052,0.4279836,0.51296693,0.5460841,0.52295613,0.4709119,0.42135754,0.39093235,0.377279,0.3725429,0.37168762,0.37416947,0.3802295,0.38926437,0.39943704,0.40886295,0.416357,0.4218203,0.4256505,0.42804655,0.4290614,0.42885944,0.42826334,0.4279709,0.4284549,0.42641187,0.41544214,0.38718107,0.3413254,0.2870766,0.24016084,0.2102707,0.19755869,0.19559902,0.19859646,0.20423658,0.21255755,0.22494833,0.24083908,0.25733826,0.27079436,0.28606156,0.31582865,0.36958644,0.43556333,0.48513547,0.49490538,0.46879244,0.4331417,0.4162871,0.4325321,0.47783569,0.53364915,0.5710525,0.568196,0.52357775,0.46088254,0.40980825,0.38908947,0.39887437,0.42704,0.45783365,0.47760567,0.48093882,0.4699148,0.45225823,0.43434098,0.42044413,0.4116439,0.40713,0.40405115,0.39934838,0.39177966,0.38219795,0.37509003,0.37898734,0.4062229,0.45989236,0.5249815,0.5679269,0.5632641,0.5113917,0.4413277,0.3843346,0.35603526,0.35177323,0.3589145,0.36699113,0.37127206,0.37217402,0.3716791,0.37297845,0.37729213,0.3839543,0.3860719,0.37484053,0.34320855,0.29592612,0.24539061,0.20599349,0.18304451,0.17507367,0.17769106,0.18867093,0.2074359,0.23297767,0.26268843,0.28955388,0.30380887,0.29647446,0.26699415,0.22300208,0.17837147,0.14628984,0.1380852,0.15304095,0.18055384,0.20413668,0.22635281,0.26370326,0.33242574,0.4166282,0.48152757,0.49852797,0.47303498,0.4324304,0.40293935,0.39215946,0.38894355,0.3761629,0.34043804,0.28470096,0.22309244,0.17628115,0.1584308,0.18050416,0.2448194,0.34188047,0.44051862,0.50404364,0.51099825,0.47399032,0.4237957,0.38802466,0.3735497,0.3738326,0.3789855,0.38393068,0.38752773,0.39036414,0.3930343,0.3955041,0.39749524,0.39889446,0.3997248,0.40024105,0.40025136,0.399951,0.39939272,0.40018055,0.4032949,0.40809643,0.40618792,0.38603246,0.33822355,0.26931715,0.1966985,0.1408696,0.109211154,0.09836879,0.09866925,0.103831016,0.11139518,0.12325554,0.14208257,0.16750027,0.19563419,0.22447638,0.26309752,0.32297835,0.40278006,0.4753368,0.50832444,0.4896083,0.4403448,0.39612997,0.38551763,0.41754267,0.48049355,0.5447903,0.57602614,0.556899,0.5005203,0.43981388,0.4016831,0.39139155,0.3936528,0.38910747,0.36507812,0.32624462,0.28615662,0.25942004,0.2473337,0.24438567,0.24352743,0.24372159,0.24471204,0.2458976,0.24658345,0.2463225,0.246005,0.24896388,0.2685063,0.31768796,0.39636946,0.4769585,0.5253485,0.52508444,0.4922998,0.45518363,0.4320604,0.42261568,0.4190323,0.41630256,0.4137775,0.41144693,0.40808502,0.40375915,0.40027025,0.39907587,0.3949372,0.37715414,0.33578393,0.27341193,0.20496744,0.14983962,0.11945549,0.11473409,0.12919958,0.15406647,0.18035065,0.20040017,0.20925112,0.20541978,0.19308686,0.18429147,0.19943385,0.25500974,0.34842205,0.4490873,0.5174985,0.5313974,0.50253874,0.46084046,0.43177417,0.4213748,0.42338645,0.42873144,0.43284556,0.4343182,0.434016,0.43300095,0.4323589,0.43175042,0.4277666,0.41388533,0.38383618,0.33842787,0.2870432,0.24307553,0.21522766,0.20476484,0.20822991,0.22022821,0.23536332,0.24773769,0.25558865,0.25960764,0.2640786,0.27308396,0.29582605,0.34095904,0.4097971,0.48361233,0.53441757,0.5421098,0.5131252,0.47032043,0.4368424,0.41993794,0.41588667,0.41812286,0.42627195,0.4455354,0.48024997,0.5263689,0.56819135,0.5898681,0.585043,0.56235385,0.53304106,0.5040394,0.47568905,0.44800362,0.4244324,0.41156712,0.41961145,0.45285583,0.50354433,0.5467019,0.5584199,0.5311173,0.48149118,0.4332081,0.40157267,0.38662314,0.38145593,0.37986866,0.3795468,0.37999514,0.38107097,0.38222337,0.38323677,0.38379297,0.3836122,0.38182822,0.3778769,0.3719543,0.36584458,0.3618139,0.36241028,0.36820868,0.37745413,0.38183472,0.3724275,0.3443682,0.3089199,0.2818875,0.2752222,0.28213978,0.29216257,0.2970774,0.2998562,0.3028947,0.308799,0.31697273,0.32664168,0.33203232,0.32569864,0.30259275,0.26494423,0.22012858,0.17635743,0.1394511,0.11174041,0.092949964,0.08120689,0.07458409,0.07158804,0.07115122,0.07208917,0.07311735,0.07314395,0.07191486,0.07016942,0.06948779,0.0714816,0.07646957,0.08285496,0.08735076,0.08742842,0.08252799,0.07477047,0.06681422,0.060889047,0.05753988,0.056183632,0.05524163,0.053257536,0.049557943,0.04474248,0.04025167,0.037796307,0.038902413,0.044204395,0.052880466,0.06236248,0.06981344,0.07358584,0.074241936,0.0734624,0.07295173,0.0734502,0.07485682,0.07636996,0.077035666,0.07624518,0.07414278,0.071592055,0.06970582,0.069442995,0.07087573,0.07319803,0.07478694,0.07458722,0.07246653,0.06960761,0.06740251,0.06730658,0.06993061,0.07485881,0.0800069,0.08289578,0.08197758,0.07788924,0.072573304,0.068140596,0.06596311,0.06635282,0.06845134,0.070232,0.06981602,0.06653456,0.061524536,0.05664995,0.053657696,0.053427875,0.055709045,0.058911595,0.060718406,0.059529472,0.05550289,0.0504564,0.04659261,0.04557985,0.047717337,0.051841784,0.055375505,0.05595639,0.052715305,0.04707657,0.041578803,0.03884084,0.04043305,0.04623303,0.053963408,0.060015302,0.061609756,0.058453903,0.052771922,0.047543436,0.04522559,0.046825845,0.05186106,0.0582094,0.06323936,0.065140195,0.06399683,0.061436284,0.059546616,0.059967,0.06285241,0.06692199,0.06983102,0.0703156,0.06852489,0.06605384,0.06413727,0.06413428,0.06698442,0.07319326,0.08119243,0.08833028,0.092331655,0.09329879,0.09306849,0.094135605,0.09819349,0.105409525,0.11448565,0.123432815,0.13203658,0.1411485,0.15207939,0.16342269,0.17382485,0.18285714,0.19248952,0.20324756,0.21279337,0.21745384,0.21536726,0.20872277,0.20100778,0.1952458,0.19154315,0.18884514,0.18578942,0.18224049,0.17866771,0.17555952,0.17316546,0.17194192,0.17247283,0.17463668,0.17652565,0.17558508,0.17018728,0.16129683,0.1513847,0.14288281,0.13698252,0.13351266,0.13178207,0.13070966,0.12970509,0.12838228,0.12690109,0.12562263,0.12565705,0.12861855,0.13545407,0.1448489,0.15327345,0.15734869,0.15620278,0.15189345,0.14748831,0.14524555,0.14551848,0.14722079,0.14843519,0.1478821,0.14531963,0.14172298,0.1381959,0.13576697,0.13488641,0.13541222,0.13607252,0.13509318,0.13115337,0.1245161,0.11680922,0.110376246,0.1072751,0.108395375,0.11273258,0.11747048,0.11967232,0.11790365,0.113101296,0.10740271,0.10305668,0.10135525,0.10242996,0.105077624,0.10731841,0.10743319,0.10493732,0.100815795,0.09697924,0.09547126,0.09747558,0.102503605,0.10831591,0.11216915,0.11253831,0.109985106,0.10651059,0.10411888,0.10374412,0.1048638,0.10604667,0.10580558,0.103631705,0.100050926,0.096319,0.09361389,0.09292231,0.094310544,0.09682783,0.09838274,0.09747698,0.0940133,0.08957353,0.08592614,0.08448335,0.08602468,0.090343624,0.09572399,0.0990904,0.098205775,0.093025416,0.085950375,0.07966964,0.07598159,0.074944206,0.075589724,0.076364696,0.07633266,0.07529547,0.0737162,0.071961,0.07070741,0.071212046,0.07455727,0.08011141,0.08484986,0.08559698,0.08119929,0.073805325,0.06715232,0.065213,0.07022777,0.08198794,0.09713498,0.11116552,0.12059733,0.125053,0.12686132,0.1303934,0.14079624,0.16107549,0.18980436,0.22009958,0.24525762,0.26214895,0.2733549,0.28148976,0.28700212,0.28695235,0.279495,0.26547605,0.24946095,0.23591988,0.22733922,0.22221486,0.21868767,0.21579283,0.21496727,0.21653368,0.21927144,0.22050293,0.21883559,0.214413,0.20818938,0.20050372,0.19124867,0.18052125,0.16912055,0.1576435,0.14586015,0.1328523,0.119036146,0.107535236,0.104269825,0.11423091,0.13782917,0.16852109,0.19671816,0.21476157,0.22119524,0.219122,0.21331811,0.20700748,0.20166647,0.19726153,0.19385485,0.19162174,0.19100867,0.19130968,0.1913795,0.19024765,0.1886655,0.18851614,0.19142388,0.19721003,0.20337684,0.20653589,0.20444876,0.19838667,0.19384211,0.1975212,0.21253985,0.23413171,0.25274715,0.26004717,0.25454584,0.24037571,0.22338665,0.2077092,0.19495682,0.18501961,0.17698865,0.1701665,0.16426654,0.15913962,0.15452054,0.15012538,0.14587088,0.14182504,0.13819884,0.13539462,0.13369106,0.133128,0.13334598,0.13425864,0.13535798,0.13590504,0.13447285,0.1308977,0.1259011,0.121359445,0.118497945,0.11864224,0.122564614,0.13075191,0.14227885,0.15516096,0.1659361,0.17071806,0.166911,0.15699053,0.14833601,0.14947267,0.16272329,0.18260752,0.19920486,0.20564954,0.20133613,0.19100732,0.18065375,0.17454354,0.17364044,0.17584062,0.1776272,0.17705427,0.17527103,0.17548518,0.18025605,0.19015747,0.20425637,0.22077715,0.23724444,0.250849,0.2596031,0.2633132,0.26311567,0.26070037,0.25743246,0.25450826,0.25233755,0.2504948,0.24750811,0.24201916,0.23370922,0.22435106,0.2173533,0.21680564,0.2244925,0.23855506,0.2530168,0.26211366,0.26308548,0.25807163,0.25099334,0.24499197,0.24050914,0.23590355,0.22910465,0.21957369,0.20941035,0.20255642,0.20190531,0.20721716,0.21437539,0.21851999,0.21645127,0.20877133,0.19778498,0.18565375,0.17265825,0.15856099,0.14401637,0.13093409,0.12108395,0.11474406,0.11137483,0.11074984,0.1137119,0.12034819,0.12967032,0.13999741,0.15131904,0.16419387,0.17817031,0.1904336,0.19838093,0.20109175,0.19967353,0.19472541,0.18701923,0.17729057,0.1676218,0.15922673,0.15259266,0.1469217,0.14176743,0.13714199,0.13351114,0.1308696,0.12838916,0.12497883,0.1201792,0.11458051,0.1093466,0.10560524,0.10438344,0.10610723,0.11044327,0.115496166,0.1190896,0.11947017,0.11685586,0.11240936,0.10765316,0.1031697,0.09904597,0.095137864,0.09147713,0.08808141,0.08482019,0.08164184,0.07864274,0.076150924,0.07442966,0.073757745,0.07442244,0.07658888,0.08016563,0.084785305,0.09049028,0.097835235,0.107669294,0.11992377,0.13297503,0.14378004,0.14953153,0.14947301,0.14597052,0.1429701,0.14356363,0.1475817,0.15256016,0.1556737,0.15602861,0.15443702,0.15283404,0.1535678,0.15836383,0.16682118,0.17480274,0.17619872,0.16596045,0.14368866,0.11353808,0.082279734,0.05595511,0.037767556,0.027489558,0.022587279,0.02054449,0.020925723,0.026217336,0.039579276,0.061394542,0.087073535,0.11002427,0.12653701,0.13791235,0.14722596,0.15524234,0.16072889,0.16310088,0.16410427,0.16557467,0.16825889,0.17182271,0.17626064,0.18132181,0.1856429,0.18814592,0.19227558,0.20975089,0.25514147,0.33145353,0.41847762,0.48047996,0.4916202,0.45545295,0.39985847,0.35386583,0.33009604,0.3252801,0.33004072,0.33648118,0.34001195,0.33914044,0.33583948,0.3333185,0.33374205,0.33381832,0.32603562,0.30237725,0.2617577,0.21167755,0.16363423,0.12660438,0.10365701,0.09541931,0.10012629,0.11444964,0.13082562,0.14269541,0.14673696,0.14534809,0.14315587,0.14587815,0.15989308,0.18822853,0.22801435,0.26753327,0.29680565,0.3117137,0.31981245,0.331787,0.36036026,0.4100126,0.47345936,0.52662677,0.5441234,0.5161032,0.45850733,0.39972755,0.3606484,0.34340099,0.33492553,0.32026175,0.2917535,0.2539851,0.21763843,0.1927228,0.1818964,0.18317638,0.1944294,0.21595132,0.24972403,0.29674378,0.35687825,0.42253196,0.47953525,0.51220685,0.5211292,0.52049136,0.5264232,0.5374849,0.54606634,0.54859334,0.55095357,0.54973644,0.5314091,0.4839214,0.41437998,0.344288,0.29327413,0.2674899,0.2612188,0.26582623,0.27338305,0.27771556,0.27147684,0.24975704,0.2119828,0.16629077,0.12364999,0.09366939,0.078015536,0.073913835,0.075172454,0.0767751,0.07439695,0.068131946,0.060703993,0.056033645,0.055680946,0.061053593,0.076932274,0.108979546,0.15801205,0.21361952,0.26159343,0.29218104,0.30819353,0.32096374,0.3449651,0.38812527,0.4446846,0.49242178,0.50651354,0.4780494,0.42509326,0.37733153,0.35574034,0.3597724,0.37549448,0.38895938,0.39601412,0.4046104,0.42437756,0.45509395,0.480032,0.4812118,0.45631132,0.4222081,0.39766535,0.3882258,0.3875439,0.38900676,0.39340988,0.4075528,0.43942246,0.4906601,0.54893965,0.5895829,0.58983856,0.5490097,0.4881507,0.4359069,0.40650526,0.3989016,0.4021057,0.40739915,0.41012442,0.41117895,0.41348493,0.42008838,0.43054822,0.44026193,0.43945384,0.4183317,0.3727053,0.31164965,0.25308734,0.21452361,0.20136452,0.20661587,0.21795727,0.22565119,0.2267388,0.22290301,0.21839897,0.21559621,0.21465123,0.21486409,0.21847773,0.2307958,0.25522497,0.28863072,0.32097515,0.3423727,0.3491976,0.34833083,0.35487244,0.38551092,0.44471517,0.515292,0.5643496,0.5670636,0.52588946,0.46717748,0.4184283,0.39113632,0.37942603,0.37100053,0.35479283,0.3269256,0.29085717,0.25588655,0.23090152,0.22065438,0.22605698,0.24549556,0.27500272,0.30695498,0.33373007,0.3519568,0.36441,0.37413064,0.37974453,0.37414023,0.35153493,0.3115539,0.2615651,0.21051307,0.165089,0.1263549,0.093259454,0.06506812,0.042970046,0.027845345,0.01903893,0.014396797,0.011902016,0.010401867,0.009645227,0.009788283,0.011180357,0.014111508,0.018426264,0.02320114,0.026980674,0.029338619,0.032365862,0.040765524,0.058066268,0.08350828,0.11077384,0.13263504,0.14355804,0.14236389,0.13086717,0.11570019,0.106233396,0.11136383,0.1326586,0.16347189,0.19289541,0.21285953,0.22076195,0.21800892,0.20739168,0.19175221,0.17386043,0.15537669,0.13765626,0.121720515,0.10971566,0.10288089,0.102237485,0.10739323,0.117598064,0.13018924,0.14193654,0.15055414,0.15640748,0.1613869,0.1667567,0.17217755,0.17622276,0.17759539,0.17543288,0.16913031,0.15775998,0.14125192,0.12219125,0.10855248,0.11159902,0.1416222,0.1991791,0.2738317,0.34688273,0.40350267,0.4376706,0.4534929,0.45762607,0.4560109,0.45194092,0.44753978,0.4440317,0.44191578,0.44102523,0.44077456,0.44037625,0.43881628,0.43314302,0.41833338,0.3894342,0.34731528,0.30045652,0.2609098,0.23666577,0.22803532,0.23013504,0.23699723,0.24409084,0.24811888,0.24728249,0.24081074,0.2288876,0.21236855,0.19414748,0.18016477,0.17650403,0.18555371,0.2022642,0.21876429,0.2282979,0.23067415,0.2302618,0.23515145,0.25149834,0.28053406,0.31520972,0.3456601,0.36425316,0.37138128,0.37131622,0.36971912,0.36773315,0.3630525,0.35000613,0.3257762,0.29356357,0.2619049,0.23830901,0.2244947,0.21972299,0.22567688,0.24765377,0.28701654,0.3364731,0.38186792,0.41150236,0.42210722,0.41879645,0.40971556,0.40142664,0.39709535,0.39684495,0.3992568,0.40211177,0.40404725,0.40446588,0.40434018,0.40426466,0.4048951,0.40577397,0.40682384,0.40749803,0.407881,0.40853664,0.41024628,0.41206887,0.40826204,0.3908495,0.3534094,0.29893562,0.23708999,0.18092783,0.13852303,0.11412465,0.10796314,0.1188035,0.14187379,0.169993,0.19520937,0.21265161,0.2225356,0.23050763,0.24571347,0.27510634,0.31850538,0.3658985,0.40430522,0.4253361,0.43047938,0.42688265,0.4214858,0.41739216,0.4146308,0.4124767,0.41030136,0.4081175,0.40629765,0.40618262,0.40906748,0.4158641,0.4247906,0.43310377,0.43725774,0.43694615,0.43316022,0.42876077,0.42533258,0.42480424,0.4285209,0.43734166,0.44965968,0.46159828,0.46848118,0.46792117,0.46117023,0.45303717,0.44858155,0.45014742,0.45536792,0.45947215,0.45936978,0.45582512,0.45208105,0.44967017,0.44801268,0.4453247,0.4418002,0.43840876,0.43639195,0.43553278,0.43507025,0.43444148,0.4330919,0.43025637,0.42170215,0.40278664,0.37040648,0.33039883,0.29267642,0.26704326,0.25463256,0.25162616,0.25231445,0.2540679,0.25545695,0.25565645,0.25299463,0.24566706,0.2321958,0.21332562,0.19394292,0.18154496,0.18189025,0.19378857,0.2105961,0.22482754,0.23340602,0.2378277,0.24292831,0.2549868,0.27792048,0.30980363,0.34121278,0.3626655,0.37016085,0.36866543,0.3649604,0.3639406,0.36382663,0.3597606,0.34529862,0.31967553,0.28726777,0.25638404,0.23203082,0.21698369,0.21466553,0.23093016,0.26817536,0.31889272,0.36824846,0.40332353,0.4208325,0.42606506,0.42630592,0.42654458,0.42772794,0.42890534,0.42836487,0.42541018,0.4203268,0.41398844,0.40787616,0.4036397,0.4026865,0.40455282,0.40728584,0.40862033,0.40783358,0.4058754,0.40447548,0.40450183,0.40336254,0.39425075,0.36854017,0.32263926,0.26213926,0.1997992,0.148614,0.116086535,0.10441715,0.11147735,0.13303682,0.16171522,0.18977034,0.21068549,0.22275637,0.22914147,0.23695432,0.25421843,0.28473744,0.3257147,0.36741197,0.40044746,0.41982007,0.42767003,0.42837214,0.42637262,0.4241393,0.42332056,0.42443714,0.4269525,0.42989668,0.43275258,0.43626237,0.44167486,0.44923058,0.4571115,0.46155834,0.46008685,0.4530587,0.44458544,0.4388291,0.4383389,0.44248363,0.44947764,0.4566834,0.46206796,0.46409437,0.463147,0.4603659,0.45585182,0.44623098,0.42511573,0.38830805,0.33827996,0.2866727,0.24721761,0.22941631,0.2325136,0.24879038,0.26738396,0.28011858,0.28349605,0.27897647,0.26954475,0.25703228,0.24162959,0.22537221,0.21280251,0.20939839,0.21584225,0.22789705,0.23829295,0.24307656,0.2418658,0.2366909,0.22820844,0.2167589,0.20378536,0.19258468,0.18592662,0.18473472,0.18851645,0.19651772,0.20684744,0.21522291,0.216586,0.20840114,0.19360907,0.17791092,0.16633856,0.15910597,0.15374847,0.14733237,0.14066821,0.13635004,0.13735779,0.14352936,0.1535732,0.16551168,0.17840017,0.19095199,0.20229101,0.21210583,0.2206151,0.2275923,0.23214172,0.23410814,0.2341827,0.23291123,0.2296621,0.22395737,0.21798246,0.21553408,0.21906613,0.22565241,0.22981773,0.22705774,0.21831028,0.2070673,0.19789745,0.19271833,0.19205149,0.1932038,0.1939003,0.192703,0.1915649,0.19125067,0.19074346,0.18695372,0.17953442,0.1713392,0.16720732,0.17051005,0.1810899,0.19555123,0.20843434,0.21633746,0.21786802,0.21465993,0.20793897,0.2012576,0.1981173,0.20199192,0.21121193,0.2216069,0.2292415,0.23383506,0.23672701,0.23795652,0.23690991,0.23321533,0.2283764,0.2228514,0.21654187,0.20843472,0.19922082,0.19005345,0.18248123,0.17707105,0.17420995,0.17412703,0.17710058,0.1833222,0.1916871,0.19996665,0.20512116,0.20659412,0.20670281,0.21009041,0.22012125,0.23785032,0.26044706,0.28226396,0.29574004,0.29697025,0.28810576,0.27704802,0.27026322,0.2685667,0.26735866,0.2619793,0.25182348,0.24005334,0.2309345,0.22653101,0.22641896,0.22855003,0.23156697,0.23579437,0.24237259,0.251624,0.2614539,0.269473,0.2741598,0.2765026,0.27685162,0.27491257,0.26865146,0.25785533,0.2428518,0.22619392,0.20995407,0.1980228,0.19373803,0.20031129,0.21624167,0.23535578,0.24843995,0.2504756,0.24419141,0.23724085,0.23508771,0.23622088,0.23529898,0.2277552,0.21437792,0.19995649,0.19175927,0.19439788,0.20754677,0.22413178,0.23614432,0.2397082,0.23838343,0.23754384,0.23877679,0.23852414,0.23282103,0.22177052,0.20801555,0.19380061,0.17894907,0.16399963,0.15091951,0.14242955,0.13882063,0.13899857,0.14258844,0.15182394,0.16855027,0.19105245,0.21281095,0.22688414,0.23023285,0.22564043,0.21825248,0.2120456,0.20827979,0.20707871,0.20847802,0.21223587,0.2173475,0.22210151,0.22503799,0.22468215,0.22057183,0.21332693,0.20525987,0.19833219,0.19288015,0.188055,0.18314493,0.17867649,0.17439799,0.16985722,0.1645575,0.16007449,0.15800959,0.15844679,0.1591338,0.15813065,0.15689479,0.16005628,0.17208032,0.19219506,0.21466744,0.2321191,0.2415914,0.24428411,0.24439514,0.2447095,0.24760647,0.25340733,0.26163557,0.26904777,0.27251354,0.269992,0.26294187,0.25425434,0.24679236,0.24172117,0.23862068,0.23627739,0.23250003,0.22588338,0.21584962,0.20447445,0.19421478,0.18835849,0.18877833,0.19677836,0.21081091,0.22789417,0.2440468,0.25671694,0.26444936,0.26726425,0.2665933,0.2650817,0.2652274,0.2677219,0.27199927,0.27615038,0.27856204,0.27736488,0.27345622,0.26890838,0.26655564,0.26569548,0.26425585,0.26069558,0.25685555,0.2556384,0.25841102,0.26462325,0.27287015,0.28235757,0.29122767,0.29732826,0.29869017,0.29627836,0.29294038,0.29257426,0.2976488,0.30840006,0.32192934,0.3334445,0.33880737,0.33736798,0.33201587,0.32681194,0.3233358,0.31987917,0.31313193,0.3018948,0.28776482,0.27369878,0.26118556,0.2509449,0.24356548,0.24023515,0.24040158,0.24196269,0.24223626,0.24022615,0.23659278,0.23263796,0.22953922,0.22763063,0.22675936,0.2259726,0.22482257,0.22335613,0.22256424,0.22324453,0.22601378,0.23142064,0.24034297,0.25331905,0.26910034,0.2844025,0.29579267,0.30240873,0.30708334,0.31356153,0.32343578,0.33359,0.33965576,0.33960092,0.338015,0.34157065,0.35352933,0.36807212,0.3753021,0.36874995,0.3510002,0.33030725,0.31390882,0.30456057,0.3015436,0.30325475,0.306759,0.30756745,0.30085722,0.28549,0.26494855,0.24558371,0.23194575,0.22518308,0.22336502,0.22399938,0.22537158,0.22655387,0.2270546,0.22644691,0.22529334,0.22489585,0.22695802,0.23221351,0.2401662,0.24813433,0.252597,0.2505012,0.24371505,0.23760812,0.23845696,0.24635518,0.25575325,0.25889283,0.25258848,0.23961067,0.22571874,0.21508843,0.20814054,0.20309483,0.19805706,0.19231081,0.1861708,0.18102573,0.17923863,0.18335633,0.19424273,0.21022457,0.22761482,0.24285181,0.25296617,0.256412,0.25353795,0.2482781,0.24673124,0.2534779,0.26906416,0.29031828,0.31390992,0.33545184,0.3498871,0.35136294,0.33910382,0.31862903,0.29945752,0.28831795,0.2858658,0.28775465,0.28805014,0.2829208,0.27261457,0.26149574,0.25517794,0.25697687,0.26617628,0.28007126,0.29549265,0.3102214,0.32055137,0.32414997,0.32058182,0.31477568,0.3114371,0.31309667,0.31640974,0.31687498,0.31080112,0.29908526,0.2855519,0.27586994,0.27461457,0.28358367,0.30108202,0.32103673,0.33650172,0.3422393,0.33965147,0.33381772,0.33029434,0.32958877,0.3283682,0.3220676,0.3093917,0.29296482,0.2777455,0.26700497,0.26041317,0.2555141,0.251333,0.2505027,0.25660208,0.2705865,0.28847227,0.30416372,0.31259477,0.3125523,0.30572927,0.29579273,0.28577122,0.27749816,0.27124298,0.26817277,0.27123728,0.28332415,0.30369017,0.3261796,0.3432828,0.3499373,0.34604263,0.334016,0.31789255,0.30232206,0.2928027,0.29289424,0.30241218,0.31517968,0.3227836,0.3182139,0.30243814,0.2825144,0.26828632,0.26430866,0.2686294,0.27341184,0.27066347,0.25612652,0.2318461,0.20397712,0.17830156,0.15667583,0.1369125,0.11598492,0.09279355,0.069203585,0.048502747,0.033263456,0.02396588,0.019165957,0.016873164,0.015673475,0.015370923,0.016824445,0.021323143,0.029289147,0.03906241,0.046947498,0.049858253,0.04882135,0.05079722,0.06436193,0.09298891,0.13011093,0.16324182,0.18134868,0.18066096,0.16410626,0.1395079,0.11809065,0.11120368,0.12416786,0.15163817,0.18100011,0.2010181,0.20846544,0.20714082,0.20290416,0.19916046,0.19606929,0.1909685,0.18152077,0.16719484,0.15164833,0.13972545,0.13651104,0.14344756,0.1589541,0.17731158,0.19249307,0.20076352,0.2033727,0.20404257,0.20599341,0.20933108,0.2121216,0.21169217,0.2065299,0.1961819,0.18150109,0.16438182,0.1500194,0.14894947,0.17684667,0.2444958,0.34434357,0.44459024,0.5065277,0.5113176,0.47436702,0.42943487,0.40250567,0.39761493,0.4046372,0.41275752,0.41703284,0.4178187,0.41688856,0.41696826,0.41946483,0.42475876,0.42905137,0.42510033,0.40516213,0.3676958,0.32057306,0.2758073,0.24257796,0.22251885,0.21379445,0.21299362,0.21707886,0.22143342,0.22287269,0.21944368,0.21168797,0.19982553,0.18655568,0.17633076,0.17479365,0.18277933,0.19619642,0.20868988,0.21712355,0.22371621,0.2363473,0.26750585,0.32497302,0.40130115,0.46909198,0.49971294,0.48469138,0.4441445,0.40791646,0.39384916,0.39817396,0.40292332,0.38969064,0.3504865,0.29310355,0.23402523,0.19049884,0.1733648,0.1921532,0.24968529,0.3360329,0.4199213,0.4681313,0.46614516,0.4310497,0.39144835,0.36721256,0.35863757,0.35769573,0.35718036,0.35561815,0.3533536,0.35129854,0.34991002,0.3499123,0.3518447,0.3557855,0.36120775,0.3667436,0.37088838,0.372728,0.37318525,0.37458003,0.37877765,0.38477877,0.38545585,0.37104666,0.33340707,0.27614143,0.21125352,0.15509288,0.11673727,0.099556796,0.10081295,0.116352655,0.13933371,0.16457166,0.18940355,0.21398026,0.23896845,0.26726243,0.3073202,0.36526906,0.43421006,0.48847166,0.50411546,0.47783914,0.4330159,0.3996328,0.39774323,0.42929077,0.4803191,0.5256972,0.5413043,0.52001935,0.4767511,0.43682125,0.41723052,0.4194615,0.4328783,0.44447994,0.444049,0.4298416,0.4071178,0.3856282,0.371913,0.36758235,0.36923742,0.37232456,0.37337437,0.37230098,0.37193885,0.3758414,0.38589147,0.40268528,0.42797628,0.46195745,0.49829245,0.5208218,0.5150501,0.48063895,0.43569574,0.40192428,0.38999704,0.3950374,0.4061586,0.4149933,0.41968426,0.4213983,0.422477,0.42373502,0.42590618,0.42847633,0.4283587,0.41871676,0.3922615,0.3489797,0.29809996,0.2535687,0.22426791,0.21117163,0.20997292,0.21563369,0.2248707,0.23647738,0.25200537,0.26953742,0.28195128,0.27665988,0.25141802,0.21647471,0.19228823,0.19054241,0.21221793,0.24791233,0.28567517,0.3142618,0.3308369,0.34752366,0.3799334,0.42978135,0.4742494,0.48835185,0.46735945,0.43304574,0.4107922,0.40990642,0.41877317,0.4171823,0.38992164,0.3369267,0.27203223,0.21434002,0.17829143,0.17212774,0.20313956,0.27109233,0.360795,0.43627772,0.46702114,0.4464436,0.4004207,0.35930184,0.3402463,0.3397276,0.34789526,0.35606483,0.36077285,0.3611478,0.35926,0.35783455,0.35864058,0.360451,0.360835,0.35863078,0.35471478,0.35109213,0.3488835,0.34887615,0.35138562,0.35667738,0.3618913,0.36015013,0.34210968,0.30349094,0.24947552,0.19278294,0.145564,0.11439318,0.10113003,0.104902185,0.12254298,0.14733647,0.17280103,0.1950339,0.21472448,0.23465653,0.2613772,0.30331326,0.3631061,0.42744443,0.47014692,0.47242245,0.43952036,0.3980256,0.3759011,0.38787612,0.43050376,0.48493406,0.5231522,0.52382404,0.4871696,0.43570113,0.39606413,0.38094616,0.38438702,0.3899317,0.38183615,0.353173,0.31075773,0.26922452,0.24240874,0.23356855,0.2404006,0.25809518,0.28412798,0.3125082,0.33700088,0.3508729,0.35246253,0.34369949,0.3350807,0.34310076,0.38071778,0.44201335,0.49997672,0.5265336,0.5134551,0.4775131,0.44185123,0.42036152,0.41393635,0.41880345,0.43112502,0.44681862,0.46030256,0.46701398,0.46651316,0.4625316,0.458889,0.4538362,0.4409299,0.4135253,0.3741659,0.3318605,0.2984993,0.278802,0.27336553,0.2780366,0.28904617,0.3006707,0.3093474,0.31298378,0.31242672,0.30806303,0.3004738,0.2904804,0.2801566,0.2711761,0.2638979,0.25819692,0.2546282,0.25583348,0.2663993,0.29384482,0.34332207,0.41040716,0.47519326,0.51337224,0.5131535,0.48629546,0.45665348,0.4420745,0.44297495,0.4466579,0.43878475,0.41219437,0.3718276,0.32936624,0.29751912,0.28326115,0.29183638,0.32662266,0.3844305,0.44685283,0.4862601,0.48534274,0.45095062,0.4082382,0.37904742,0.36994168,0.3733852,0.3792313,0.380556,0.3761535,0.36850724,0.36189863,0.35914445,0.36047852,0.3639826,0.36763802,0.37042633,0.3721969,0.37333885,0.3735495,0.37329623,0.3733989,0.37582266,0.37800774,0.3724486,0.3484373,0.30345637,0.24549985,0.19064014,0.15213126,0.13751484,0.14654954,0.1729296,0.205005,0.2322526,0.2507675,0.26373497,0.27658257,0.29417935,0.3234712,0.37011972,0.43094864,0.4860694,0.5121393,0.49973142,0.4642719,0.43193972,0.4234726,0.44409695,0.4843329,0.52404016,0.5401121,0.522335,0.4802973,0.4382354,0.41446885,0.41253987,0.42163554,0.42865956,0.42361346,0.40503013,0.37836826,0.35395142,0.33997357,0.33934924,0.34946105,0.36496004,0.38032255,0.39145565,0.39770257,0.40139058,0.40689483,0.41820064,0.43924212,0.4713013,0.50963575,0.54061574,0.54901147,0.5293215,0.49121,0.45172384,0.42327762,0.40913853,0.40689793,0.4133469,0.42494228,0.4373901,0.44636872,0.45029256,0.45083702,0.45105353,0.45067808,0.44468117,0.42558527,0.39050424,0.3437597,0.29503927,0.25308263,0.22399823,0.21138436,0.21706559,0.23949559,0.2735349,0.31319454,0.35141674,0.38124803,0.39480555,0.39028358,0.3708556,0.34452876,0.3177745,0.29832235,0.29311737,0.303298,0.32085192,0.3348919,0.34799528,0.3715069,0.41308227,0.45787874,0.48408934,0.48000678,0.45754397,0.43606725,0.42753974,0.42840937,0.42690802,0.41206172,0.38120946,0.34125516,0.3035669,0.27849364,0.2727481,0.29297927,0.34024987,0.40436235,0.45920047,0.4807386,0.4628816,0.424297,0.38932714,0.37219343,0.3703904,0.3749701,0.37801754,0.3771325,0.3730488,0.36807156,0.36373067,0.3604665,0.3580416,0.35582042,0.3533959,0.35021445,0.34685946,0.34387973,0.34222707,0.3426011,0.34659114,0.35459277,0.36176905,0.35821256,0.33399484,0.28983065,0.23713219,0.19302338,0.16846694,0.16612197,0.1806863,0.20479642,0.2309679,0.2547842,0.2733886,0.2860221,0.29358184,0.30318794,0.32668424,0.37185168,0.43119025,0.48228094,0.50543034,0.49805102,0.4761584,0.45909798,0.45931068,0.4779154,0.50607747,0.5274479,0.52667433,0.5013693,0.46470752,0.43599093,0.42510176,0.427894,0.42881063,0.41293803,0.3733969,0.319832,0.2705,0.24248081,0.23761886,0.24694885,0.25790906,0.26451984,0.2662317,0.2668037,0.2695682,0.2759123,0.28198373,0.28243783,0.27312696,0.25590602,0.23557045,0.21843739,0.20765729,0.20368212,0.2037703,0.20551689,0.20728524,0.20887704,0.20958786,0.2088474,0.20613931,0.20165221,0.19532092,0.18740524,0.17886926,0.17161722,0.16680962,0.16386665,0.16099024,0.15711145,0.15274338,0.14923726,0.14779021,0.14892495,0.15282993,0.15909863,0.16743504,0.17737217,0.18870918,0.19976574,0.20855026,0.21352273,0.21686482,0.22200845,0.23092163,0.24011831,0.2443885,0.24125864,0.2343982,0.22949411,0.22938864,0.23158562,0.23129438,0.2256819,0.21609099,0.20644003,0.19969831,0.19609474,0.19449364,0.19497924,0.19879802,0.20591791,0.2132035,0.2164378,0.21384084,0.20762797,0.20197015,0.19956857,0.20039733,0.20231523,0.20338313,0.20300867,0.20276345,0.20492649,0.21097851,0.21969657,0.22810757,0.23285459,0.23266126,0.22847879,0.22304167,0.21870255,0.21598889,0.21317965,0.20751536,0.19722669,0.18291096,0.16768509,0.15569776,0.15028049,0.15260138,0.16167057,0.17476165,0.1887892,0.20088857,0.2097547,0.21490325,0.21695119,0.21620704,0.21325451,0.20864975,0.2038769,0.20106083,0.2019545,0.20686103,0.21377645,0.22013886,0.22385508,0.22500789,0.22459443,0.22412615,0.22418605,0.2248152,0.22535984,0.22522205,0.22386318,0.22083169,0.21578033,0.2091828,0.2032885,0.2013408,0.20538801,0.21371819,0.22147946,0.22339489,0.21759057,0.20625024,0.19412911,0.18448769,0.17768116,0.1713798,0.16429572,0.1568082,0.15063392,0.14636944,0.14449549,0.14665067,0.15527177,0.17091978,0.18945271,0.20428437,0.20967261,0.20520277,0.1951475,0.18638791,0.18413694,0.18953389,0.19987138,0.21030776,0.21704973,0.21811812,0.21442443,0.20871907,0.20494871,0.20576608,0.21076524,0.2167151,0.22062714,0.22284372,0.22662711,0.2348799,0.24727452,0.26060653,0.27118483,0.27668354,0.27667794,0.27208492,0.26458177,0.25605226,0.24804783,0.24224977,0.23989241,0.2421606,0.24801414,0.2546725,0.2573541,0.25309354,0.2421943,0.22913252,0.21951073,0.21680395,0.22048222,0.22663546,0.23150837,0.23373519,0.23453307,0.2348675,0.23370172,0.22913086,0.22056215,0.21016817,0.20128602,0.196959,0.19794212,0.2029224,0.20878752,0.21298753,0.21427971,0.21335997,0.2111333,0.20815963,0.2039349,0.19795626,0.19046217,0.18303211,0.17737949,0.174073,0.17242688,0.17241149,0.17584509,0.18465258,0.19744031,0.20816642,0.21006675,0.2012253,0.18656665,0.17414577,0.1691655,0.17231429,0.18060638,0.19039567,0.19758427,0.19917949,0.19391604,0.1830823,0.16935174,0.15568832,0.14491795,0.13939525,0.14009474,0.14533818,0.15099758,0.15275449,0.14910959,0.14229958,0.1359614,0.13225275,0.13153158,0.13462366,0.14331204,0.15777533,0.17381419,0.18464977,0.18585867,0.17876671,0.1680891,0.15752639,0.14675838,0.13387834,0.11826014,0.10265183,0.09084961,0.085082255,0.08465782,0.08768835,0.09420573,0.1063807,0.12652457,0.15286508,0.1798477,0.20023794,0.2101605,0.20959236,0.20216787,0.1916731,0.18141441,0.17307504,0.16785343,0.16628371,0.1683941,0.17325209,0.17923923,0.18490726,0.18952484,0.19313906,0.19578677,0.19716008,0.19675599,0.1944145,0.1908781,0.18739702,0.18540047,0.18524678,0.1862575,0.18655038,0.18416376,0.17759855,0.16703491,0.15504487,0.14644174,0.14594467,0.15489429,0.16957939,0.18303736,0.18860628,0.18259795,0.16493042,0.13905248,0.11123679,0.08809492,0.073071435,0.06455899,0.058369473,0.051276922,0.043493673,0.037313372,0.03563808,0.039187685,0.046003655,0.051239785,0.05098045,0.04436082,0.034557264,0.025496162,0.019836038,0.018020183,0.019174978,0.021766005,0.024035254,0.02489002,0.024187075,0.022903526,0.022406047,0.024330236,0.029720217,0.03886119,0.051097017,0.06611931,0.083272986,0.10068085,0.115005516,0.12536243,0.13594967,0.15285052,0.17722142,0.2021894,0.21923347,0.2247445,0.22223322,0.21675853,0.21130902,0.20566265,0.19880478,0.19015807,0.18045546,0.17128193,0.16439134,0.16062067,0.1596708,0.16060416,0.16251619,0.1646141,0.16568379,0.16379553,0.1571247,0.14539295,0.13129146,0.11959324,0.11523115,0.11962447,0.12954842,0.13757862,0.13684787,0.12446793,0.10393322,0.08233804,0.06725291,0.061883032,0.06433367,0.068205394,0.068057925,0.06183928,0.052478347,0.04434078,0.041755904,0.046253297,0.056289624,0.06666764,0.071664326,0.068311796,0.058330398,0.046679195,0.03896229,0.040293768,0.053170633,0.07629765,0.10317204,0.12624048,0.14057046,0.14677937,0.1481706,0.14809327,0.1478317,0.14755686,0.14724343,0.14765443,0.14990614,0.15427871,0.1594458,0.16292608,0.16346888,0.16145052,0.15836346,0.1543427,0.14860159,0.13999207,0.12845409,0.11493442,0.1019704,0.09371007,0.093844265,0.10284477,0.11609155,0.12727432,0.13121459,0.12690815,0.11584639,0.1024834,0.09154707,0.08659851,0.086471796,0.08704955,0.08420569,0.07741911,0.06920407,0.06311875,0.061897073,0.065790586,0.072409846,0.076997034,0.07609246,0.069172524,0.059481885,0.050988454,0.047060225,0.04864323,0.054409947,0.060547445,0.06315828,0.060266763,0.053247735,0.045419514,0.040439058,0.04077731,0.046359498,0.054216534,0.059271608,0.058088616,0.050622974,0.040651787,0.032696113,0.030683666,0.03611106,0.04778281,0.061295588,0.071466066,0.07506394,0.0727419,0.06777979,0.06387928,0.063664906,0.067579344,0.07422454,0.08070611,0.08557952,0.089191996,0.093584806,0.099883474,0.108737476,0.11979467,0.13139497,0.13925886,0.14002143,0.13535114,0.13323087,0.14087813,0.15827085,0.17731468,0.18941522,0.19184154,0.1887744,0.18628125,0.18784143,0.19255584,0.19720139,0.19833392,0.19393481,0.1830439,0.16561101,0.14256628,0.116492786,0.091267236,0.0713417,0.060668822,0.06257707,0.07731252,0.10055747,0.12263093,0.13478811,0.13418905,0.12708037,0.122446544,0.12632614,0.13652296,0.14567529,0.14551078,0.13347091,0.11413332,0.0975689,0.09320093,0.104882516,0.12865059,0.15491468,0.17313415,0.1766253,0.16612214,0.14782117,0.12973489,0.115974925,0.10832427,0.10736829,0.1149627,0.13027506,0.1489947,0.16424562,0.17131752,0.16944033,0.16077095,0.14774506,0.13150509,0.11284409,0.09346455,0.077110946,0.067031704,0.064184785,0.066261314,0.07182675,0.08197167,0.09893329,0.12087482,0.14152412,0.15511614,0.16161595,0.16617344,0.17304449,0.18186794,0.18813467,0.18796718,0.1804611,0.16814704,0.15376239,0.13841756,0.12136959,0.103509836,0.08979573,0.08686999,0.09745142,0.115970105,0.13270293,0.1397511,0.13594358,0.123957455,0.107224256,0.087660044,0.066963844,0.047281493,0.030810833,0.018798647,0.010981229,0.006317942,0.0036691881,0.002548947,0.0029195019,0.004916656,0.008222383,0.01185779,0.014412164,0.015507358,0.01722659,0.024771774,0.042881235,0.071959995,0.10510019,0.13249873,0.14620705,0.14407715,0.12859695,0.10634606,0.08747822,0.08261759,0.0968933,0.12538342,0.1563602,0.17920093,0.19012171,0.19155957,0.18766727,0.18090497,0.1710974,0.1565053,0.13652408,0.11368253,0.09417992,0.08467582,0.08903491,0.10585034,0.12902008,0.15045355,0.16390091,0.16775078,0.1642496,0.15689935,0.1482522,0.14038189,0.13571025,0.13674271,0.14422102,0.15628986,0.1692317,0.17944382,0.18460786,0.18357551,0.17570473,0.16072437,0.14030717,0.11907831,0.10323286,0.09560424,0.09246388,0.08598461,0.07109805,0.04984033,0.028799916,0.013547084,0.005204822,0.0017526307,0.0006118738,0.00026416258,0.00013233349,7.480675E-05,5.0579547E-05,4.268754E-05]