[0.004552548,0.004724646,0.0052421056,0.006239727,0.0077693015,0.009782102,0.012189007,0.014903892,0.017804377,0.020664295,0.023193112,0.025093721,0.026080167,0.025810251,0.024139576,0.021625271,0.019949296,0.021139732,0.026102051,0.03330481,0.03956997,0.042210583,0.041391436,0.04043209,0.044044267,0.055333417,0.073595345,0.09435371,0.11178025,0.12179929,0.123886146,0.12023608,0.11425403,0.10891086,0.10679141,0.10931023,0.11660537,0.12686732,0.13753699,0.14634182,0.15263982,0.15672745,0.15942214,0.16106164,0.16264509,0.16512017,0.16890258,0.17229094,0.17311342,0.17101842,0.16850765,0.16903818,0.17411922,0.18247348,0.1908046,0.19544542,0.1942405,0.18777017,0.17964351,0.17373101,0.17207928,0.17378253,0.17700385,0.17993718,0.18116535,0.17922868,0.1733638,0.1647615,0.15632169,0.151347,0.15106644,0.15487431,0.1609581,0.16863966,0.17702277,0.18432935,0.18608718,0.17903626,0.16401124,0.14833575,0.14017154,0.14338452,0.15434884,0.16635151,0.1740401,0.17585248,0.17248255,0.16533925,0.15641838,0.14860374,0.14480595,0.14592883,0.1498059,0.15286583,0.15267698,0.14959165,0.14550875,0.14251412,0.14167275,0.14294058,0.14413914,0.14142048,0.13144991,0.115428604,0.09977237,0.09194583,0.09480041,0.10441097,0.114373006,0.1202522,0.12197828,0.12144039,0.12044398,0.11969366,0.11950129,0.12063065,0.12392352,0.12974636,0.13687074,0.14322907,0.14705487,0.1488745,0.15156732,0.15839744,0.17006104,0.18307538,0.19243127,0.19489862,0.19142605,0.18492667,0.1780982,0.17186712,0.16675651,0.16314042,0.16157006,0.16142935,0.16188,0.1618263,0.16121244,0.15990196,0.15756962,0.15289032,0.14448836,0.13234632,0.11923859,0.10994077,0.108377606,0.11502985,0.12757279,0.14328665,0.16021715,0.17632042,0.18857664,0.19490017,0.19526738,0.19195294,0.18663824,0.1797565,0.170228,0.15825306,0.14564204,0.13649203,0.13351499,0.13707842,0.14365666,0.1498704,0.15393949,0.15711546,0.1600822,0.16133244,0.15707564,0.14460553,0.124439634,0.1000066,0.07553269,0.054439485,0.039265018,0.031564247,0.031358466,0.03649288,0.043407608,0.048863143,0.05149504,0.051686455,0.050613508,0.049015332,0.0473277,0.045706753,0.044497263,0.043735858,0.04350084,0.044417843,0.04826695,0.05736922,0.07176643,0.08808785,0.1003328,0.10559023,0.10615984,0.10877008,0.11795598,0.13330036,0.14993085,0.16315158,0.17049904,0.17172658,0.16712974,0.15751038,0.14437144,0.13078529,0.12047886,0.11667919,0.11970588,0.12693274,0.13476157,0.14175583,0.14890403,0.15715237,0.16492932,0.16882409,0.1662343,0.15792958,0.14750999,0.13948502,0.13605411,0.13659333,0.13836773,0.13939881,0.13919134,0.13850297,0.13771053,0.13665749,0.13508014,0.13323604,0.13161786,0.13043986,0.12966655,0.13002463,0.13354538,0.14278167,0.15827091,0.17708333,0.19329469,0.20074487,0.19595425,0.1799085,0.1579661,0.13693918,0.1215229,0.11190421,0.10530764,0.09898696,0.092349954,0.08665717,0.084046125,0.08690181,0.096612155,0.1119119,0.12810381,0.13975203,0.14396559,0.14179482,0.1357039,0.1274917,0.117708795,0.10745903,0.0984844,0.093074314,0.09216248,0.09508053,0.09940905,0.103339665,0.10737249,0.11401364,0.124947526,0.13864331,0.1511976,0.15878187,0.15971941,0.15455134,0.14545469,0.13514294,0.12632395,0.12069848,0.11880178,0.119209565,0.11998272,0.119977206,0.120751075,0.12480128,0.13345957,0.14561069,0.158908,0.17126198,0.18013048,0.18288122,0.17716546,0.16386189,0.1468789,0.13234623,0.1247372,0.12480861,0.12907715,0.13286136,0.13335751,0.13064295,0.1260454,0.12032803,0.11351546,0.10562938,0.09719992,0.08893332,0.0815719,0.07556931,0.07122829,0.06822536,0.06601658,0.063875385,0.06155017,0.059128765,0.056981217,0.055442948,0.05460446,0.05436651,0.054698635,0.05595469,0.059067447,0.06425902,0.07072321,0.07593924,0.07834528,0.07771856,0.0760274,0.07478219,0.07460279,0.07477694,0.074474186,0.0731697,0.070665754,0.06714764,0.063017614,0.059005007,0.05581723,0.053890247,0.053173807,0.053250056,0.053701054,0.054399345,0.05535828,0.0564416,0.057179194,0.057234045,0.05676413,0.056499526,0.057328105,0.059880435,0.06431828,0.07008652,0.07598701,0.08034577,0.081770144,0.079610474,0.07449331,0.06823867,0.06362379,0.063223176,0.068031706,0.07679275,0.08758142,0.100395314,0.11817209,0.14340608,0.17388242,0.20124616,0.21679647,0.2179392,0.21113966,0.20628363,0.20993336,0.22153234,0.23615701,0.24889533,0.25712463,0.26068965,0.26061785,0.25946963,0.2591419,0.25927263,0.25473925,0.24012743,0.21685116,0.19840227,0.20595813,0.2510744,0.32718503,0.40678796,0.46504578,0.48771727,0.48267773,0.46304715,0.443496,0.42870978,0.41785464,0.40632924,0.39135805,0.374481,0.35928845,0.34979662,0.34670892,0.34914672,0.35482356,0.3624877,0.37090036,0.3790656,0.3859131,0.3905485,0.39158764,0.38552463,0.36862376,0.33951953,0.30259532,0.26545337,0.23518836,0.21533138,0.20636497,0.20740797,0.21542136,0.2255866,0.2322706,0.23344831,0.2312417,0.23014443,0.23263963,0.23803961,0.24360661,0.24682294,0.24710083,0.24558164,0.24433623,0.2436412,0.24226958,0.2385862,0.23389542,0.23091795,0.23146044,0.23380844,0.23582757,0.23798151,0.24403732,0.25676557,0.2745957,0.29191694,0.30285594,0.30469963,0.2984569,0.2874123,0.27543083,0.2661248,0.2634833,0.26950756,0.28260258,0.29453334,0.29650596,0.28390762,0.26137108,0.23705976,0.21769899,0.20437354,0.19483285,0.18638237,0.17896833,0.17360877,0.17024243,0.16487241,0.15485762,0.14237104,0.13513865,0.13761146,0.14748229,0.16031331,0.17949773,0.21555412,0.27419254,0.34404686,0.4014376,0.42662528,0.41834068,0.39051792,0.35945794,0.33230528,0.30836517,0.28567612,0.26754418,0.25895402,0.262287,0.27266172,0.282882,0.28720212,0.28485772,0.2775177,0.26823553,0.26057413,0.2595258,0.26822165,0.2861552,0.306295,0.3211954,0.32502708,0.31753144,0.2980511,0.26596478,0.22112186,0.17043044,0.1268541,0.10463527,0.10921671,0.13386226,0.16162683,0.17654519,0.17201984,0.15490085,0.1390357,0.13601176,0.1482553,0.16941345,0.18992977,0.203849,0.21076973,0.2151284,0.22035627,0.22782801,0.23526816,0.23998146,0.2379259,0.22562717,0.20141764,0.16875732,0.13486777,0.10705062,0.08853761,0.07844108,0.073905855,0.07230881,0.071871884,0.07182926,0.07409421,0.08431948,0.110883184,0.15656495,0.2133737,0.26229158,0.28770193,0.28624964,0.26956347,0.2517153,0.24161398,0.23913713,0.24015033,0.23977162,0.23612826,0.2296499,0.221712,0.21188967,0.19947904,0.18557568,0.17302382,0.1627933,0.15509702,0.15339807,0.17003356,0.2132157,0.27953032,0.34463823,0.38709608,0.39576885,0.38163888,0.35743913,0.3346959,0.31537256,0.30032507,0.2882286,0.27832678,0.26940843,0.26198268,0.2577474,0.25857177,0.26423594,0.2721797,0.27869543,0.2815436,0.28195703,0.2843548,0.29181108,0.30225036,0.30670604,0.29709157,0.27141786,0.23845255,0.20941089,0.19249298,0.18668766,0.18634512,0.18492295,0.17938314,0.16975015,0.15743352,0.14437151,0.13252299,0.12500149,0.124574624,0.13263398,0.1473031,0.16478638,0.18112557,0.19431853,0.20402002,0.21045874,0.2134629,0.2128553,0.20966665,0.20569134,0.20220871,0.1979136,0.19037557,0.178441,0.16514692,0.1557164,0.15396208,0.15812834,0.16261102,0.16162162,0.15370746,0.14086314,0.12736903,0.11810392,0.12034463,0.1400493,0.17757256,0.22135143,0.25490668,0.26534724,0.2537427,0.22989874,0.20598018,0.18787672,0.1767736,0.17058384,0.16735429,0.16492933,0.16149598,0.1557113,0.14749129,0.13843201,0.13078167,0.12616873,0.124701954,0.12804562,0.1422789,0.17668475,0.23275892,0.29796672,0.34862244,0.3689115,0.3589749,0.33424494,0.3092766,0.29183373,0.28085408,0.2730465,0.26546782,0.25756368,0.25014555,0.24501806,0.24348967,0.24580288,0.24996395,0.2531822,0.253615,0.25270048,0.25472817,0.2638133,0.27966383,0.29476598,0.29763666,0.2796091,0.241948,0.19496553,0.15156864,0.11947724,0.09966112,0.08968857,0.08783696,0.09364971,0.10570789,0.11990472,0.1313722,0.1375267,0.14019509,0.14251886,0.14640944,0.15033872,0.15239675,0.15164398,0.14986221,0.14953417,0.15298742,0.16219546,0.17936254,0.20716788,0.24251132,0.27628303,0.29538512,0.297721,0.29408658,0.2997932,0.3183855,0.33625364,0.33931628,0.32251313,0.29820856,0.2777845,0.2682139,0.26503655,0.26556298,0.27111402,0.28721452,0.31332377,0.33885345,0.35046974,0.34339496,0.3268082,0.3140833,0.31182146,0.31479532,0.3136773,0.30387247,0.2901946,0.2818081,0.2851554,0.2989508,0.3161241,0.32765993,0.32580245,0.30601755,0.27086934,0.23312229,0.21429116,0.23121308,0.28574923,0.35783955,0.4213951,0.4553336,0.45819864,0.43999314,0.41694394,0.39876422,0.38831592,0.3817433,0.3747212,0.36464965,0.35217932,0.3390797,0.32781208,0.3199794,0.3157195,0.31283602,0.30799893,0.3005853,0.29461882,0.29668835,0.30953646,0.32821152,0.34388816,0.35013723,0.34787706,0.34132972,0.33447012,0.32691813,0.31670815,0.3018366,0.2844222,0.26906154,0.26034737,0.25664207,0.25149217,0.2389695,0.22094171,0.20559335,0.20016928,0.2053163,0.21606012,0.22732271,0.23633935,0.24208248,0.24382484,0.24154513,0.23733084,0.23395258,0.2328857,0.23110394,0.22410625,0.2104762,0.19693534,0.19327575,0.20335297,0.21869142,0.22590645,0.21904336,0.20536058,0.19563083,0.19226499,0.18908733,0.1838709,0.18592124,0.20696467,0.24576837,0.28541252,0.30714026,0.30519608,0.28762618,0.26666668,0.24910457,0.23607653,0.2264238,0.22132885,0.2224559,0.23042744,0.24158823,0.2517126,0.25762668,0.25917447,0.2557569,0.2463548,0.23405755,0.22927718,0.24837343,0.2963144,0.36177337,0.41568872,0.43858275,0.4267594,0.39827025,0.36973286,0.3517324,0.34271538,0.33885315,0.33585522,0.33155632,0.3250546,0.31667367,0.3081155,0.30219713,0.30245164,0.31144622,0.32836917,0.34866175,0.36636928,0.37830254,0.38397303,0.3835182,0.37503883,0.35760155,0.33319363,0.30703676,0.2835891,0.265326,0.25318494,0.24748068,0.2465955,0.24565637,0.23803101,0.21951394,0.19294687,0.16873215,0.15891974,0.16839105,0.19017588,0.21131344,0.22239704,0.22319119,0.21846573,0.2121944,0.20501338,0.1966167,0.18764053,0.1795433,0.1725226,0.16456424,0.15266351,0.1361466,0.1183281,0.10394924,0.095214516,0.09048397,0.08881279,0.092857175,0.10892115,0.1400618,0.18245792,0.22528447,0.25838006,0.28012237,0.2963178,0.31345686,0.3265564,0.32518968,0.30111483,0.2619172,0.2237168,0.2023167,0.20149462,0.21448694,0.2304502,0.24157088,0.24590407,0.24457796,0.23957624,0.23252533,0.22609116,0.22263588,0.22270763,0.22481583,0.23022795,0.2460695,0.28096265,0.33480394,0.39201185,0.43066704,0.4372114,0.41756478,0.38914108,0.3680277,0.35856104,0.35642815,0.35532704,0.35242876,0.34808695,0.34342992,0.33842728,0.3320584,0.32385358,0.3154963,0.31005538,0.3105756,0.31809083,0.33292964,0.3529625,0.37381065,0.38544372,0.37963626,0.3531742,0.3154923,0.27914983,0.25476024,0.24093027,0.23060876,0.21685803,0.20178525,0.1930423,0.19613653,0.2072619,0.21702139,0.21912532,0.21497576,0.20841102,0.19894607,0.18277836,0.16048956,0.14232211,0.14123572,0.16221452,0.19602424,0.2276625,0.24686842,0.25390264,0.25340924,0.24814552,0.23672943,0.21884854,0.19886447,0.18577611,0.1860076,0.19851671,0.21404295,0.22343878,0.22332801,0.21732624,0.20989819,0.20403923,0.2026415,0.21183334,0.23614828,0.27224132,0.30578908,0.32234266,0.3166387,0.29687276,0.2747487,0.25837138,0.24774122,0.23963173,0.23089065,0.22254948,0.21737558,0.21700712,0.21830358,0.21631931,0.20876186,0.1975336,0.1857235,0.17621772,0.17525609,0.19595967,0.24642825,0.320312,0.38838196,0.42479014,0.41827297,0.3859872,0.34854242,0.3221818,0.30661294,0.29659656,0.28640136,0.27613306,0.2697097,0.27086124,0.27999026,0.29332447,0.30607247,0.3146064,0.3176438,0.31580588,0.31078398,0.30491707,0.2997469,0.29533485,0.29044437,0.28390738,0.27593747,0.26752278,0.2598062,0.253061,0.24701715,0.24141955,0.2366569,0.23380178,0.23330814,0.23447537,0.23563443,0.23544262,0.23306601,0.22813457,0.22070177,0.21185017,0.20300604,0.19535822,0.18901116,0.18398507,0.18026583,0.17798452,0.17694207,0.17660522,0.17644201,0.1757344,0.17411472,0.17153646,0.16849609,0.1656515,0.16329505,0.16174203,0.16227002,0.16805625,0.18327498,0.20822977,0.23793674,0.26276442,0.2781813,0.28641814,0.29572096,0.30978122,0.32550192,0.3349793,0.33284032,0.32038233,0.3030657,0.28664574,0.2719568,0.2578916,0.24513288,0.23978609,0.24764152,0.2675813,0.2899587,0.30453745,0.307616,0.30207348,0.2906057,0.27295887,0.25114852,0.23615026,0.24624677,0.2905436,0.35812664,0.4190733,0.44940594,0.44402838,0.41929257,0.39244485,0.3731157,0.35911322,0.3458223,0.3294171,0.31122947,0.29505643,0.2857852,0.28479505,0.29079846,0.3007786,0.3133901,0.32826987,0.3455156,0.3642056,0.38301167,0.39881197,0.4070797,0.40187204,0.38150254,0.3502083,0.31908128,0.2980143,0.291032,0.29347286,0.29824686,0.30074373,0.30035934,0.29668033,0.28933582,0.28226843,0.28746584,0.3166838,0.36876032,0.42273438,0.45226693,0.44400346,0.40801814,0.36509404,0.33097556,0.30724245,0.28845865,0.27151188,0.25948155,0.25702402,0.26358584,0.27530134,0.289855,0.3136144,0.35101163,0.39884648,0.43736818,0.44992995,0.42937827,0.38963246,0.34691453,0.3144602,0.2938778,0.28503516,0.28912932,0.3064467,0.3317385,0.3518509,0.3574636,0.34720066,0.32997888,0.31334618,0.30051503,0.28977874,0.2806103,0.27488908,0.27458575,0.2787226,0.28228885,0.2802235,0.2707359,0.25742587,0.2457395,0.23914625,0.23816079,0.2443641,0.264609,0.3053024,0.36302567,0.41843495,0.4493563,0.4457375,0.4176893,0.38335288,0.35668698,0.34052363,0.33168128,0.32550514,0.31976065,0.31401524,0.3090503,0.3057606,0.30504236,0.3082322,0.31549045,0.32553363,0.3353356,0.34362316,0.35140195,0.36015618,0.36815047,0.3701767,0.36285055,0.34799418,0.3323982,0.3208688,0.31336236,0.30604556,0.29753223,0.29116946,0.29303756,0.3060532,0.3270073,0.3493897,0.3694755,0.39111018,0.41893664,0.4523121,0.47799018,0.48331276,0.4620192,0.42328295,0.3781153,0.3361679,0.29999122,0.2729429,0.25830963,0.25788108,0.26716587,0.27837673,0.28807715,0.30270216,0.33415452,0.38484368,0.44020608,0.47457853,0.47336027,0.4420018,0.4017427,0.36990783,0.35314092,0.34846866,0.35257766,0.36346686,0.3784159,0.39115822,0.39315423,0.38083115,0.35809597,0.33597103,0.32232285,0.319055,0.3208417,0.32355925,0.32630488,0.33196962,0.34152746,0.3522227,0.35855284,0.3567767,0.34725472,0.33341,0.3186775,0.30704352,0.3049314,0.3226371,0.36267385,0.4139862,0.4497944,0.45258412,0.4228923,0.38278368,0.3493627,0.3281561,0.31181285,0.2962244,0.28353548,0.27967966,0.28727376,0.30275583,0.319308,0.33068967,0.33485064,0.33375537,0.33127433,0.331786,0.33834115,0.353641,0.3763602,0.40173748,0.4199735,0.4242959,0.41308948,0.39283037,0.3709414,0.3531424,0.3405744,0.33237764,0.32672969,0.32256243,0.3195422,0.3184336,0.32173458,0.33383057,0.35950288,0.3962783,0.4329808,0.45202637,0.4452343,0.4165467,0.37999117,0.34489346,0.31444407,0.2876011,0.26522565,0.24803753,0.23413025,0.2189911,0.20183003,0.19000912,0.1993794,0.24109621,0.3116199,0.38586524,0.43601456,0.44651744,0.42705163,0.39654097,0.37066087,0.3525127,0.34131572,0.3388702,0.34791148,0.36639747,0.3833389,0.38783872,0.37563512,0.35363507,0.3323377,0.31977284,0.3174473,0.32202384,0.3289293,0.33463743,0.3383532,0.3401966,0.34228575,0.34768,0.36200216,0.38566676,0.41236165,0.42732742,0.42284465,0.4034573,0.38623855,0.38356522,0.39344105,0.40418658,0.40710798,0.40935853,0.42000663,0.4408506,0.45444635,0.44751427,0.4205421,0.39476725,0.38640472,0.39650688,0.41002178,0.41510406,0.41051447,0.4012815,0.3897003,0.37372193,0.35604978,0.3455019,0.3533015,0.38097754,0.4188474,0.4512123,0.4673605,0.4684874,0.46238884,0.4562675,0.44743052,0.43159506,0.40883735,0.3903478,0.3863484,0.39714718,0.4103795,0.4149848,0.4130646,0.4172612,0.43490854,0.45647874,0.46527323,0.45509705,0.4393182,0.4358385,0.4494245,0.46561018,0.46626496,0.4452163,0.41077232,0.37425065,0.33918142,0.30502036,0.27475443,0.26051244,0.2714053,0.30439976,0.33976236,0.35937408,0.36005905,0.357506,0.36606672,0.38451388,0.39830872,0.3986087,0.39268622,0.39277968,0.40103313,0.4049846,0.39398167,0.36963534,0.34573177,0.33248267,0.3291312,0.32730615,0.32249674,0.31869963,0.32097438,0.32811192,0.33158088,0.32707858,0.31952837,0.31982926,0.33239487,0.35076806,0.36534873,0.37330735,0.38317385,0.40253744,0.43044564,0.45236066,0.45588732,0.43757746,0.40847695,0.37990555,0.3584878,0.34158492,0.32652667,0.3133119,0.3063871,0.3081081,0.31557095,0.32104817,0.3176566,0.3047352,0.28659216,0.269177,0.25567195,0.24929118,0.2542008,0.27330074,0.3022268,0.3284705,0.34031713,0.33512554,0.32119307,0.30940685,0.30587533,0.3102177,0.31827733,0.3267719,0.33393016,0.34005788,0.3447782,0.34878054,0.3542198,0.36794773,0.39365318,0.42808583,0.4549081,0.45987317,0.43812898,0.40284884,0.36983564,0.349617,0.3401617,0.3349963,0.32903078,0.3221815,0.3172729,0.31672674,0.32310855,0.3401623,0.37185466,0.41331264,0.44868878,0.457432,0.4344578,0.39289343,0.35593715,0.33447957,0.32570437,0.32034576,0.3169882,0.32044396,0.3341225,0.3529004,0.3668958,0.36992478,0.36394253,0.35573423,0.34992838,0.34677717,0.34400728,0.34068653,0.3377653,0.3363441,0.33613774,0.33464226,0.32956746,0.32015017,0.3091887,0.3010569,0.29945657,0.3063965,0.3235581,0.35484305,0.3996434,0.44950685,0.48500803,0.49285352,0.4718425,0.43764925,0.40516886,0.38335773,0.37048674,0.36262575,0.3560339,0.34971437,0.3438755,0.3390683,0.33527637,0.33269754,0.33243456,0.3366966,0.3466687,0.36147943,0.37820372,0.39422163,0.40693614,0.41426644,0.41324785,0.40389422,0.38845584,0.37297058,0.3616458,0.3570851,0.3570797,0.35844365,0.35700917,0.3511375,0.33998322,0.3256022,0.31320608,0.31343237,0.3350012,0.37699434,0.42266154,0.4508767,0.44941285,0.42525363,0.3947638,0.37218782,0.35955477,0.35212508,0.34430134,0.33603346,0.32922432,0.32473543,0.32103956,0.31925306,0.32635725,0.3486426,0.38285092,0.4119718,0.4194108,0.40148866,0.3716698,0.3464088,0.33375978,0.33155373,0.3356218,0.34561777,0.36143008,0.37873355,0.3877935,0.38254097,0.36485636,0.34443238,0.3289927,0.31998852,0.31266943,0.30299246,0.29157475,0.28403053,0.28525537,0.29484898,0.3058524,0.31054318,0.30568394,0.29378852,0.27911925,0.2652254,0.25720575,0.26421893,0.29405984,0.3433684,0.392638,0.41894904,0.41196164,0.38201356,0.34753647,0.32068166,0.3013179,0.2848098,0.2701008,0.2607522,0.2606442,0.26913944,0.2816515,0.2914047,0.29379508,0.287233,0.27396807,0.25801504,0.24498296,0.2411818,0.25142574,0.27502587,0.30405387,0.32788277,0.34003946,0.3411378,0.33576152,0.3276637,0.31830594,0.3075674,0.2952064,0.2817031,0.2686884,0.25825605,0.25299183,0.2562612,0.27441052,0.30970255,0.35621098,0.39471588,0.40913466,0.3950254,0.36630535,0.33839002,0.31978014,0.3078719,0.2985219,0.29099724,0.2878621,0.29015315,0.29475316,0.2985727,0.30362692,0.31924394,0.35060763,0.39139476,0.42109486,0.42478645,0.40212724,0.3701364,0.34363946,0.32826543,0.31980106,0.3155615,0.31628624,0.32248473,0.32946825,0.32948473,0.3190112,0.3016473,0.2854198,0.27558696,0.27257797,0.2731489,0.27430937,0.27456406,0.27425578,0.27413726,0.2749463,0.27646542,0.2790235,0.28341588,0.29114673,0.3017213,0.31447005,0.32965374,0.35257843,0.38410416,0.419014,0.4400352,0.4382901,0.4143652,0.3852127,0.3616544,0.347984,0.33741382,0.32592198,0.3132738,0.30371633,0.30062437,0.30398777,0.31093696,0.317722,0.32198963,0.32379344,0.3239689,0.32431045,0.32544246,0.3289154,0.33409977,0.33916375,0.3394002,0.3323803,0.31902346,0.30444232,0.29293123,0.2869282,0.28544262,0.2870171,0.2885516,0.28848627,0.28577045,0.28239742,0.28239083,0.2920806,0.31808636,0.3577876,0.39782393,0.4146111,0.39666307,0.34822047,0.29088974,0.24014966,0.20303355,0.17692797,0.1636679,0.1674207,0.18941784,0.21997921,0.24376301,0.25364307,0.25940362,0.27869904,0.31789723,0.36065164,0.38234863,0.36984527,0.3338401,0.29461148,0.26775214,0.25611886,0.2581962,0.2729772,0.29958048,0.3318784,0.35905388,0.37368032,0.37816092,0.38570666,0.40571555,0.4362155,0.45930278,0.46091115,0.43982494,0.4129183,0.39644018,0.3949388,0.4003243,0.40360507,0.40624425,0.41196004,0.42143917,0.4235178,0.4133239,0.39492306,0.3852905,0.39145204,0.40762392,0.41661867,0.41004094,0.39140496,0.37258044,0.3610892,0.35829222,0.36091605,0.3654443,0.36794758,0.36453012,0.35283425,0.3348788,0.31767297,0.30973944,0.31544372,0.33212647,0.3522594,0.36965165,0.38274738,0.39378127,0.403591,0.4095908,0.40699887,0.39372978,0.37203017,0.34796396,0.32767165,0.31513312,0.31040812,0.31094992,0.31360134,0.31699884,0.32095718,0.32622397,0.3340515,0.34795833,0.369305,0.39309168,0.40569577,0.3959458,0.36565474,0.3311185,0.30995253,0.30798864,0.31871974,0.3317578,0.3416021,0.34770247,0.35143518,0.35344306,0.35560358,0.36193088,0.37945816,0.40885964,0.44301167,0.4630637,0.4573265,0.42458785,0.38175443,0.34432653,0.322341,0.3136823,0.31466162,0.32243297,0.33522466,0.3492708,0.35836837,0.3597858,0.35539845,0.3509581,0.34942058,0.3498037,0.34875223,0.34458852,0.33862928,0.3336674,0.33160606,0.33177722,0.33130613,0.32764986,0.32065502,0.31328517,0.30861428,0.3093871,0.31789243,0.33865094,0.3720756,0.41104376,0.43843305,0.44146058,0.41946426,0.3866125,0.3572283,0.33757898,0.32416406,0.31216088,0.3004537,0.29120922,0.28620195,0.2842891,0.28299367,0.2810017,0.28022143,0.28448027,0.29625273,0.3141345,0.3333113,0.34999713,0.36285546,0.37262428,0.37746224,0.3745837,0.3619926,0.3428477,0.32293046,0.30760083,0.29790214,0.29173014,0.2867047,0.28277642,0.28077546,0.2806746,0.2826095,0.2899919,0.31071493,0.3473214,0.39235052,0.42542514,0.43273556,0.41261974,0.3807492,0.35129294,0.33255005,0.32272473,0.3187276,0.3177886,0.31847772,0.31946063,0.3203065,0.32351622,0.3344723,0.35732934,0.38763246,0.41081953,0.41084805,0.38451633,0.34526908,0.31290984,0.2983205,0.29877245,0.30569223,0.31348988,0.32215592,0.33164904,0.33967343,0.34215525,0.33870152,0.33187497,0.32524085,0.31964445,0.31462225,0.31041655,0.30808285,0.3086351,0.31108502,0.31411687,0.3158872,0.31577814,0.31343976,0.30914488,0.3030018,0.2956207,0.29110107,0.29784524,0.32650635,0.37700143,0.43388352,0.46852612,0.4634608,0.42197645,0.36886215,0.3263255,0.3043534,0.2976873,0.29836565,0.30097672,0.3048605,0.31050798,0.3176793,0.32469034,0.32996976,0.33237505,0.33125934,0.32592237,0.3180379,0.31222913,0.3153496,0.32950225,0.35024008,0.36663032,0.3715073,0.36439738,0.35273018,0.3429763,0.3381169,0.33652484,0.33623126,0.3357285,0.33459404,0.3328227,0.33187488,0.33535492,0.34887686,0.37659574,0.4146998,0.44913888,0.4615475,0.4438472,0.40421855,0.36168766,0.33074117,0.31499442,0.30941567,0.3084619,0.30898276,0.31006882,0.31083074,0.31197295,0.31673315,0.33246732,0.36260858,0.40207025,0.43268797,0.43803966,0.41253427,0.37004626,0.32918715,0.3037561,0.29455754,0.2975535,0.30907524,0.3263588,0.3443811,0.3545644,0.35220966,0.33852866,0.3214186,0.30733776,0.29955718,0.29648688,0.29543254,0.2940059,0.2924448,0.2926209,0.2964475,0.3048426,0.31911477,0.3433797,0.37786594,0.41531357,0.43745017,0.43327618,0.40613064,0.37673664,0.3616936,0.36339238,0.37204847,0.3796201,0.39049783,0.4086257,0.4316864,0.44243345,0.43265355,0.40552917,0.3802359,0.36666095,0.36469045,0.36454976,0.36268342,0.36054134,0.3600318,0.35820317,0.35052028,0.33889726,0.33161148,0.3376738,0.3554673,0.37384012,0.38091984,0.3768036,0.37428358,0.38440588,0.4064224,0.4228677,0.42088977,0.39842126,0.3722743,0.3560106,0.35417536,0.3579204,0.36054742,0.3657697,0.38041177,0.40414354,0.42003366,0.41472614,0.38857463,0.3638022,0.359085,0.37772426,0.40160644,0.4119494,0.40191105,0.37918603,0.35451508,0.33189738,0.31310716,0.30180374,0.30568084,0.32340625,0.3441576,0.35371014,0.3518032,0.35096487,0.36503804,0.39151764,0.4121323,0.40804258,0.37749538,0.3380425,0.30982813,0.30006465,0.2999235,0.29890785,0.2942493,0.29094616,0.29192802,0.29430708,0.29382026,0.29027095,0.28941944,0.29444763,0.30346394,0.30831933,0.30567136,0.29885757,0.29651096,0.3021972,0.3113148,0.31725812,0.3195877,0.32896543,0.35329616,0.39014435,0.41917503,0.42328146,0.39601,0.35166368,0.30630234,0.27263498,0.251229,0.23939054,0.2331897,0.23099089,0.23132472,0.23228621,0.23235382,0.231681,0.23187093,0.23396498,0.23675127,0.23862791,0.23881423,0.23841089,0.2367764,0.23175341,0.22026648,0.20314713,0.18429512,0.16914344,0.16023426,0.15784359,0.16065086,0.16763324,0.1769643,0.18646084,0.1941454,0.19995044,0.20462589,0.20830117,0.20958978,0.20684473,0.19919439,0.18628363,0.16947758,0.15385549,0.14851718,0.16035227,0.18691993,0.21601349,0.23409899,0.23525965,0.2229415,0.20511134,0.18895233,0.17829217,0.17357373,0.17279442,0.1731867,0.17305161,0.17253284,0.17323625,0.17642349,0.18176101,0.18732512,0.19141583,0.19417869,0.19713128,0.2016678,0.20750503,0.21313578,0.21623106,0.2146966,0.20755257,0.1959424,0.18314636,0.17241305,0.16509485,0.15959942,0.1541658,0.1490689,0.14727683,0.15102808,0.15931499,0.16855533,0.17529798,0.17779233,0.17433329,0.16375275,0.14750858,0.13257776,0.12816043,0.13916968,0.1615563,0.18518005,0.2013281,0.2076627,0.20773119,0.20670915,0.20818788,0.21267442,0.21758056,0.2194944,0.21644248,0.21020103,0.20352225,0.19892913,0.19696592,0.19811285,0.20159435,0.20515572,0.2057388,0.20224999,0.19635946,0.19017373,0.18398197,0.1766758,0.16804957,0.15971166,0.15386553,0.1517332,0.15341906,0.15879653,0.16810966,0.18126899,0.19704878,0.21219327,0.22268794,0.22428627,0.21556117,0.19709045,0.17261511,0.14521566,0.11915428,0.098430455,0.08937327,0.09599633,0.11817706,0.14844334,0.17686526,0.1951639,0.20111428,0.1958762,0.18185502,0.16095318,0.1376982,0.119867556,0.11671895,0.13258196,0.16395377,0.20065534,0.23300181,0.25613657,0.27108714,0.28037688,0.285745,0.2870164,0.2839651,0.27687177,0.2671172,0.25673288,0.24803753,0.24294583,0.2420774,0.24441834,0.24706252,0.24611883,0.23808508,0.222885,0.20504321,0.19194578,0.18860151,0.1944356,0.20411755,0.21083339,0.20883264,0.19484635,0.17054676,0.14378928,0.12664299,0.12875713,0.15144446,0.18592791,0.21842933,0.23740959,0.23869689,0.22466765,0.20049854,0.17113501,0.14204355,0.12016664,0.11381332,0.12740599,0.1581525,0.19481276,0.22522928,0.24253203,0.2484787,0.248367,0.24569269,0.23952025,0.22611396,0.20277584,0.17034751,0.13426997,0.10167623,0.077917226,0.063975684,0.057398546,0.054792777,0.053707793,0.05334354,0.05397901,0.056591574,0.06153212,0.06782738,0.072896756,0.07439063,0.071903266,0.06752623,0.06409524,0.063159175,0.06433613,0.066163965,0.06746561,0.06770024,0.06687626,0.06500972,0.06216532,0.058636297,0.0559994,0.058119904,0.071118936,0.0998941,0.14352082,0.19297878,0.23594393,0.2637688,0.27605948,0.2775137,0.27335158,0.26578808,0.25530913,0.2410232,0.22155993,0.19480924,0.16074996,0.122946136,0.089012146,0.06630218,0.058158908,0.061162952,0.06819644,0.073194146,0.07588709,0.08114612,0.094518535,0.11732193,0.14557211,0.1729093,0.19448604,0.20856512,0.21601139,0.2180854,0.215622,0.21129782,0.2122912,0.23185201,0.27587742,0.336069,0.3843784,0.39944795,0.3766495,0.33648118,0.29882368,0.27517083,0.2648408,0.2678071,0.2878436,0.32251224,0.3596886,0.37622705,0.36205164,0.32214105,0.2787077,0.24685001,0.23242837,0.2314465,0.24213775,0.2664994,0.30181488,0.33812872,0.356029,0.34688464,0.31410953,0.27723286,0.2505689,0.24091977,0.24493843,0.26007012,0.28598404,0.31874597,0.34858537,0.35996926,0.34763074,0.3174208,0.28609252,0.2640492,0.25349277,0.24996531,0.25276306,0.26717237,0.2960563,0.3333126,0.36055937,0.3638492,0.34118184,0.307161,0.27680293,0.25859973,0.25201973,0.25559548,0.27089772,0.29755434,0.32907322,0.35033712,0.3499427,0.32708433,0.2945589,0.26714602,0.25326446,0.25350094,0.26557136,0.29023898,0.32562613,0.36484742,0.3913093,0.39322293,0.3694506,0.3360174,0.31090745,0.30558458,0.31861374,0.34272352,0.37158275,0.40052405,0.42564854,0.43958533,0.437704,0.41945815,0.3921984,0.3637682,0.34013495,0.3225204,0.311793,0.309975,0.31927797,0.3374562,0.3553394,0.36096856,0.34758762,0.3190924,0.28723124,0.26324546,0.25112608,0.2467609,0.24309956,0.23569278,0.22594382,0.21853827,0.21693374,0.21880972,0.21817464,0.2100126,0.19527012,0.17873879,0.1652454,0.15643126,0.15301238,0.15588069,0.16621454,0.18141393,0.19597466,0.2031387,0.20169656,0.19600302,0.1940937,0.19983326,0.21036969,0.21873605,0.22013807,0.2154953,0.2073958,0.19702725,0.18414362,0.17247905,0.17074656,0.18649627,0.22015858,0.26206386,0.30038118,0.3245217,0.3316921,0.32331643,0.30605483,0.28528985,0.2646518,0.24442004,0.22531545,0.209601,0.19977365,0.19632721,0.19659822,0.19693281,0.19572373,0.19766118,0.21380568,0.25569603,0.3217444,0.39470366,0.44704488,0.46487454,0.44968,0.41963735,0.38543406,0.35323465,0.32117987,0.2955192,0.28266945,0.28458658,0.29030332,0.2876339,0.27633154,0.27079684,0.28351226,0.31011784,0.33102104,0.33259296,0.32023978,0.31320724,0.32374665,0.34533668,0.36306837,0.36918482,0.37425926,0.38925195,0.41562244,0.43500808,0.43270683,0.40388593,0.363134,0.32501063,0.29997095,0.28651688,0.27996027,0.27547404,0.27284932,0.27410486,0.28025272,0.28822663,0.2924144,0.28910235,0.28012645,0.2714982,0.26872185,0.273628,0.2857904,0.30378965,0.32495794,0.34310007,0.35263625,0.3519379,0.34583506,0.33917263,0.33374465,0.32727894,0.31859115,0.30965865,0.30537584,0.30953208,0.32208073,0.33998275,0.36075,0.38509837,0.4110838,0.43226728,0.43667313,0.4213605,0.39219257,0.3642421,0.34488752,0.33443412,0.32524583,0.31296074,0.29675266,0.28011036,0.2653791,0.25466415,0.2509382,0.26102948,0.2887878,0.3282332,0.3602036,0.3653903,0.33850285,0.29366225,0.2524276,0.22846131,0.22180407,0.22520272,0.2335373,0.24599266,0.261386,0.27471396,0.28031874,0.27877864,0.27689156,0.28139928,0.29162788,0.301909,0.30740905,0.30895802,0.3099588,0.31220534,0.3137879,0.31114507,0.30236337,0.28895667,0.27508062,0.2650576,0.26073444,0.2629178,0.2734679,0.29694137,0.3337929,0.3763523,0.40828142,0.41749826,0.40251005,0.37441435,0.3458061,0.32505205,0.31315413,0.3072647,0.30435458,0.30311427,0.30458573,0.30931577,0.3167316,0.32431674,0.33015284,0.333279,0.33467862,0.3357878,0.33809194,0.3414686,0.3439264,0.34234455,0.334712,0.32257983,0.3101301,0.30211857,0.3000896,0.3028091,0.30674845,0.30878446,0.30605522,0.29768637,0.28478584,0.27231398,0.2675911,0.27920356,0.3105009,0.35500303,0.39497963,0.41221213,0.40063736,0.37092686,0.3412242,0.32346866,0.31884733,0.321097,0.324316,0.3256848,0.32618406,0.32762203,0.33209372,0.34067413,0.35538247,0.3739778,0.39087346,0.3944055,0.37977442,0.34931418,0.31631026,0.2913109,0.27980706,0.2790264,0.28446266,0.29291835,0.30123985,0.30571392,0.30048037,0.28462386,0.26221037,0.24260403,0.23204221,0.2321033,0.23888136,0.2476544,0.25486776,0.2595057,0.2620493,0.26375875,0.26724812,0.2770479,0.2980741,0.33039805,0.3672183,0.39743543,0.41424724,0.41841578,0.41648707,0.41419554,0.41292223,0.4126549,0.4141601,0.42217502,0.43663692,0.45237243,0.45733726,0.44790158,0.42996976,0.41804373,0.41880408,0.42789316,0.43429884,0.43216613,0.42598173,0.42170596,0.42097768,0.4163711,0.40489087,0.38953888,0.38101783,0.38300642,0.3915025,0.39775613,0.39927575,0.40200022,0.41037384,0.42203593,0.42502657,0.4148897,0.39606416,0.38260913,0.37987518,0.38405144,0.386196,0.3851957,0.3884921,0.40079722,0.41800728,0.427008,0.42294466,0.41050228,0.40229538,0.40319636,0.4094725,0.4141272,0.41454253,0.41691455,0.42454374,0.43695816,0.44299114,0.43829203,0.4238312,0.4109633,0.40446436,0.40301147,0.39843628,0.3867357,0.371606,0.3604066,0.35815108,0.35970244,0.35839,0.34990337,0.3400238,0.33383253,0.33243123,0.3298036,0.32253894,0.31318125,0.30814087,0.30984005,0.31397226,0.31498381,0.31241277,0.31176206,0.31726074,0.32744065,0.33625174,0.34079942,0.34304765,0.34631822,0.34816536,0.34172758,0.32435462,0.30446842,0.29902053,0.31623766,0.34828302,0.3719168,0.37231222,0.3496307,0.32061172,0.2983228,0.28772613,0.2838533,0.28124884,0.276813,0.27077448,0.26467094,0.25940886,0.2552643,0.2525626,0.25252768,0.2564514,0.26420757,0.2747877,0.2870172,0.30107784,0.3145083,0.32152477,0.3128443,0.28579324,0.24707521,0.2117547,0.19041754,0.18441771,0.18738903,0.19386344,0.20262559,0.21429627,0.22799133,0.2408842,0.25305274,0.26925513,0.29711297,0.33532092,0.3709652,0.38263366,0.3616086,0.31617126,0.26944417,0.23715639,0.22259182,0.2172444,0.21404041,0.21114206,0.21055132,0.21363844,0.22137354,0.23780145,0.27040982,0.3212557,0.38063705,0.42733505,0.44579867,0.43423828,0.4057839,0.37271854,0.3407935,0.30934313,0.27962086,0.2580628,0.25144568,0.26207575,0.28299454,0.304996,0.32046095,0.32875395,0.33121523,0.3285401,0.31745374,0.29429224,0.25993213,0.22278571,0.1942883,0.17973948,0.17505385,0.17296667,0.17201431,0.17676568,0.18985064,0.20756084,0.22474603,0.24357261,0.27218297,0.3139774,0.35965908,0.3921784,0.40169024,0.3911912,0.37294158,0.35557863,0.34190747,0.32964942,0.31810853,0.3084754,0.302955,0.30191553,0.30314037,0.30396378,0.30297297,0.30058166,0.29671118,0.2906126,0.28274617,0.27676383,0.27734932,0.28469023,0.29309836,0.29484746,0.2882435,0.27731618,0.26711586,0.25540432,0.23542684,0.20317137,0.16597754,0.1395785,0.13693936,0.15753847,0.18843044,0.21698642,0.24321413,0.27533337,0.31607297,0.3513116,0.36267567,0.3435851,0.30715021,0.27260646,0.25107202,0.24195911,0.23920636,0.23865408,0.23918964,0.24143408,0.24461526,0.24873023,0.25620267,0.27702892,0.31403992,0.3595477,0.38503394,0.37290964,0.32118967,0.25654635,0.20093219,0.1665712,0.14815992,0.14181457,0.15009297,0.17698622,0.21933329,0.2606497,0.28627837,0.28981736,0.2793628,0.26372924,0.2488058,0.23437218,0.22025947,0.20785666,0.20026289,0.19997962,0.20559746,0.21254182,0.21593451,0.21511537,0.21223243,0.20888598,0.20673275,0.21088119,0.23279977,0.2771767,0.33515882,0.3807613,0.39524078,0.3763741,0.3433374,0.31487313,0.30091426,0.29840687,0.30004358,0.30030635,0.29806378,0.2973342,0.3022422,0.31432655,0.3297731,0.34308985,0.35014224,0.34997526,0.3445914,0.33747903,0.33312094,0.33315814,0.33556497,0.334407,0.32604524,0.31096217,0.29382345,0.27803668,0.2646426,0.252658,0.24207233,0.23373075,0.22915824,0.22842467,0.22977082,0.23126538,0.23500681,0.25063863,0.28410307,0.3297752,0.36309156,0.36573812,0.3349514,0.29195806,0.25536177,0.23460497,0.22434801,0.21827762,0.2120928,0.20571269,0.20032974,0.19818771,0.20311695,0.22158347,0.25791118,0.30692992,0.3498256,0.36359215,0.338311,0.2847427,0.2269784,0.1827218,0.15657811,0.14288308,0.13901465,0.1463912,0.16609818,0.19081302,0.20889984,0.212563,0.20407085,0.19113956,0.18015309,0.17260753,0.16769356,0.16459279,0.1631133,0.16234922,0.16093986,0.15787144,0.15378244,0.15059794,0.15014164,0.15268439,0.15756182,0.1654015,0.18047352,0.2075383,0.24744456,0.29121074,0.32634857,0.34373462,0.34743592,0.34650454,0.34785345,0.34742764,0.34092224,0.32923067,0.32278267,0.32709467,0.3394225,0.3471404,0.3440503,0.3323587,0.3233937,0.3240236,0.3336192,0.34595636,0.35649443,0.3674091,0.37962744,0.39092973,0.39217845,0.38206372,0.36756122,0.36239183,0.3696064,0.38015437,0.3798522,0.3654374,0.34645033,0.33750507,0.34324446,0.3569635,0.3656563,0.3647753,0.35848436,0.35421824,0.35121986,0.3446422,0.33444604,0.33119667,0.3416736,0.36023626,0.36698362,0.353104,0.3262055,0.3089212,0.31295714,0.33271736,0.35257408,0.36241996,0.36825904,0.3764495,0.38826904,0.39022994,0.37754372,0.35595012,0.34412408,0.3484621,0.36116496,0.36528575,0.3550221,0.3383603,0.32854867,0.33081242,0.3394238,0.34627628,0.34816918,0.3481549,0.34817657,0.34594667,0.33729067,0.3229985,0.31055644,0.30841494,0.31911436,0.33656397,0.35274836,0.3628117,0.36753854,0.36693785,0.35843626,0.3391155,0.314134,0.29758132,0.3028073,0.3290266,0.35829055,0.3694962,0.35468146,0.32359645,0.29280293,0.27260563,0.2636597,0.2608335,0.26030767,0.261096,0.26498762,0.27293622,0.28388742,0.29462,0.30190897,0.30382785,0.29971012,0.29006258,0.27722654,0.26650348,0.26366484,0.27092704,0.28364125,0.2944367,0.2986618,0.2982391,0.2976232,0.29962942,0.30339316,0.30663395,0.30807564,0.30781904,0.30711088,0.30642617,0.3069227,0.31027338,0.32219657,0.34486473,0.37551466,0.39928082,0.40446427,0.385228,0.35107413,0.31242576,0.27895227,0.25276923,0.23434769,0.22281636,0.2172814,0.21585013,0.21469556,0.21262711,0.21441807,0.23298116,0.2750503,0.33237848,0.37814626,0.39179286,0.37099198,0.33640507,0.30680203,0.2898459,0.28037074,0.27569875,0.27867988,0.2925171,0.31312048,0.32993957,0.3351357,0.32836518,0.3158234,0.30323687,0.2931455,0.285468,0.28018117,0.2784138,0.2810229,0.2881966,0.29847816,0.31050348,0.32255208,0.33262846,0.33712354,0.3320403,0.3182677,0.30400696,0.30472076,0.32749662,0.3666172,0.3991079,0.4085623,0.3901273,0.3592162,0.33108127,0.31684712,0.3152473,0.3210527,0.3270696,0.32844326,0.32335702,0.31358597,0.30341947,0.2967563,0.29539776,0.29939187,0.3084118,0.32224312,0.3393028,0.35702363,0.3717508,0.3813405,0.38437077,0.38229105,0.3769597,0.3707919,0.36379233,0.35570422,0.34686983,0.33943856,0.33507124,0.33318982,0.3309544,0.3255264,0.31784773,0.3136013,0.32119247,0.34225717,0.36894467,0.38496885,0.38082805,0.3570101,0.32457793,0.29176214,0.26223677,0.23456763,0.20866446,0.18609613,0.16884832,0.15685964,0.1499039,0.15120472,0.17055726,0.21432543,0.27685764,0.33349374,0.3608706,0.3509798,0.32213417,0.29779145,0.29287013,0.30346704,0.3195685,0.333447,0.34449184,0.35320917,0.3572116,0.3520091,0.3365054,0.3156463,0.29821077,0.2906052,0.2937846,0.30337933,0.313965,0.32217106,0.3273145,0.3298434,0.32949722,0.32634938,0.32119703,0.31605563,0.31189442,0.3088187,0.30759457,0.3121268,0.32745582,0.35251704,0.3776575,0.38889733,0.3818636,0.36288738,0.34434143,0.33089662,0.32095373,0.31013438,0.29856518,0.2884201,0.28156936,0.2770742,0.2728372,0.26729822,0.26116386,0.2568736,0.2567061,0.26092276,0.26782098,0.27660146,0.2877582,0.30128333,0.31294718,0.31649613,0.30876452,0.29354477,0.2783567,0.268329,0.26288322,0.25821403,0.25200608,0.24607654,0.24422276,0.24803905,0.2560388,0.2670323,0.28501868,0.31390044,0.35071036,0.3799951,0.38668728,0.36649692,0.33120587,0.29628298,0.27148387,0.25779837,0.25199673,0.2507218,0.25065678,0.24868816,0.24156241,0.23056407,0.22334361,0.2354582,0.27349356,0.32898054,0.37266386,0.38486978,0.36330223,0.33093193,0.30632356,0.29754815,0.29725543,0.29953602,0.30343047,0.31086454,0.31949615,0.32142964,0.31223378,0.2947348,0.2787584,0.27045664,0.2700526,0.27191368,0.27156022,0.2676489,0.2631023,0.2616469,0.26579663,0.27643886,0.29537106,0.32407153,0.35808346,0.3835522,0.38435254,0.35715377,0.3174198,0.28888416,0.2839605,0.2944955,0.30111614,0.28911516,0.25889638,0.22052617,0.18494761,0.15639998,0.1344247,0.11740416,0.105991066,0.1022548,0.1073406,0.11927304,0.13326585,0.1447842,0.15222709,0.15717767,0.16147354,0.16509499,0.16663122,0.16558316,0.16337235,0.16164206,0.16060925,0.15880986,0.15521906,0.1502588,0.14561868,0.14237233,0.14007492,0.13715987,0.13257754,0.1267112,0.120849185,0.11581763,0.111560576,0.107724905,0.10452146,0.10263447,0.1024056,0.10320192,0.10331421,0.10123711,0.09658238,0.09069867,0.085137494,0.08047185,0.075726904,0.06985316,0.06290085,0.05623972,0.0515074,0.04982158,0.05146445,0.055883776,0.061986983,0.06941841,0.08006672,0.09729943,0.122058295,0.15021336,0.17454827,0.19161355,0.20393793,0.21761306,0.23540159,0.25535294,0.2720197,0.28019327,0.2775073,0.2651342,0.24731304,0.22756678,0.20856519,0.19313262,0.18637675,0.19247834,0.20975256,0.23101461,0.24818282,0.2586683,0.2631025,0.26203576,0.2525976,0.23552586,0.21988763,0.22360748,0.25694433,0.31310472,0.36704382,0.3985351,0.40212488,0.3902253,0.37441948,0.36112443,0.34847093,0.33516288,0.3205031,0.30640388,0.29491815,0.28791663,0.28558967,0.2867597,0.2900109,0.2947864,0.30106333,0.30910298,0.3191793,0.33213684,0.34723306,0.3613406,0.36874878,0.36595997,0.35407487,0.33958754,0.32904926,0.3248873,0.32345602,0.31978023,0.31189013,0.30196267,0.29157078,0.2809898,0.27200723,0.27274737,0.29167736,0.3285164,0.36888567,0.39447105,0.39644602,0.3810517,0.36145377,0.3462559,0.33578005,0.3263825,0.3167854,0.30947113,0.30754218,0.310969,0.31794178,0.32802212,0.34625706,0.3742615,0.40723395,0.42808092,0.42584756,0.3991561,0.36393657,0.33402607,0.31685534,0.3074628,0.30082974,0.2968352,0.29966617,0.31056824,0.32305285,0.3295581,0.32724154,0.32107952,0.31641647,0.3149442,0.31371033,0.31020674,0.30446798,0.29930046,0.2965815,0.2955378,0.292434,0.2844303,0.27228943,0.26070252,0.25402722,0.25406915,0.26100048,0.2782046,0.30934033,0.3527229,0.39451268,0.41759455,0.41241226,0.38613734,0.3543611,0.3308897,0.3187903,0.31350634,0.3082163,0.30024362,0.29108146,0.2841231,0.28126383,0.28286865,0.28912172,0.29998243,0.31394228,0.32755175,0.33839574,0.34736076,0.35705936,0.36770388,0.37484434,0.3737416,0.3633906,0.34829545,0.33326396,0.32044482,0.30857846,0.29698613,0.28735724,0.28310013,0.28615654,0.2952698,0.3087097,0.32703018,0.3545909,0.3899882,0.4232627,0.43495873,0.41596636,0.37214315,0.32636714,0.29619977,0.28778824,0.2925518,0.30177566,0.3106989,0.3205376,0.33168674,0.34344292,0.35509244,0.36913872,0.38914582,0.4130474,0.43212244,0.4335566,0.41432217,0.38123083,0.3498278,0.32929292,0.3215985,0.321095,0.32337523,0.3271519,0.33332336,0.34152928,0.3476337,0.3475665,0.33974993,0.3280137,0.3174915,0.3118212,0.31100833,0.3133508,0.31795838,0.32455292,0.33258393,0.3392606,0.34145045,0.33707342,0.32696214,0.3136405,0.30000412,0.29041925,0.29099822,0.31045112,0.34783348,0.39157364,0.41743854,0.4140458,0.38411304,0.34800956,0.3176751,0.29702818,0.28027523,0.26669964,0.25895017,0.26079023,0.27117574,0.2851422,0.29727182,0.30491772,0.30863962,0.3105582,0.31212035,0.31406167,0.3165028,0.3213148,0.32954845,0.34098557,0.35058662,0.35374138,0.34787747,0.33637872,0.3239462,0.3147535,0.30924842,0.30568755,0.3017138,0.29712835,0.2938263,0.29407263,0.29963577,0.31262243,0.33684757,0.370379,0.40407017,0.42061725,0.41293776,0.38561225,0.35635015,0.33623305,0.3276321,0.3229303,0.31567812,0.30415925,0.29121926,0.28109586,0.2765099,0.28065065,0.2976797,0.32977298,0.37157345,0.40781245,0.42314407,0.41161227,0.38244578,0.3500222,0.32509497,0.30968642,0.30256364,0.3036363,0.31281933,0.3264271,0.33560488,0.33349738,0.31964776,0.30134335,0.28657606,0.28025272,0.28227723,0.28973064,0.29859594,0.30583334,0.3105162,0.3135127,0.31772706,0.32715634,0.34736064,0.3770105,0.4077306,0.4222285,0.4131097,0.38450786,0.3546318,0.33615193,0.33134785,0.33120444,0.32542184,0.31045195,0.28872868,0.26665476,0.24681826,0.22851102,0.20903169,0.18963347,0.17594327,0.17473835,0.1876323,0.20934065,0.23006122,0.2419645,0.2422229,0.23357962,0.22094764,0.20902993,0.20093708,0.19784033,0.1994194,0.2036639,0.20855927,0.21215014,0.21357054,0.21162689,0.2051431,0.19290161,0.17527342,0.15501128,0.13546857,0.11893716,0.10480595,0.09409154,0.089941196,0.09831957,0.120328344,0.1517691,0.18282278,0.20608296,0.21810843,0.2208656,0.21708578,0.20912234,0.19784915,0.18356009,0.16589604,0.14439167,0.12006573,0.09628569,0.0776537,0.06699761,0.063866116,0.065385126,0.06873027,0.072321214,0.07562786,0.07834556,0.08075901,0.08513235,0.096105166,0.11827453,0.15199648,0.1907043,0.22319101,0.23831046,0.23189819,0.208905,0.18233208,0.16340248,0.15553072,0.1531719,0.15171118,0.15181136,0.15709269,0.1656992,0.17077036,0.16845919,0.16430265,0.1688564,0.1866312,0.21185583,0.23593281,0.25735715,0.28499258,0.32464695,0.3718679,0.40733078,0.41730618,0.39948967,0.36954537,0.3418636,0.3248114,0.31521878,0.30849394,0.30181122,0.29636636,0.29410037,0.29527715,0.29817295,0.30004957,0.29941237,0.29573867,0.28978845,0.28266016,0.27728638,0.27787635,0.28736672,0.30391303,0.32002926,0.32853404,0.32711825,0.32040703,0.31408247,0.31125942,0.31085512,0.3111111,0.31162322,0.31379533,0.3184926,0.32449344,0.33086845,0.33939135,0.35655084,0.38220772,0.4073024,0.41185865,0.38857165,0.34562388,0.30764735,0.2898445,0.29347685,0.30569848,0.31481037,0.3156347,0.31050125,0.30474642,0.30323103,0.30893233,0.32442203,0.3507918,0.38429534,0.4132456,0.4229544,0.40736625,0.37356225,0.33753,0.30995205,0.29326048,0.28347144,0.27959195,0.28313735,0.2951745,0.3115829,0.3253818,0.3320886,0.3327166,0.3318477,0.3326651,0.33490303,0.33598384,0.33409348,0.32955268,0.32411182,0.31895438,0.31379768,0.30737686,0.29954317,0.2919037,0.28729725,0.28715286,0.29199037,0.30223012,0.32064012,0.34636822,0.37383413,0.3901919,0.38885164,0.37050915,0.34710717,0.32747248,0.3167546,0.31220797,0.3110046,0.31046453,0.3106295,0.312156,0.31595185,0.32156423,0.3277719,0.3335135,0.3392637,0.34621093,0.3548968,0.36476526,0.37514713,0.38533,0.39385772,0.39766777,0.39472762,0.38533866,0.37342632,0.36343622,0.35911536,0.36102816,0.36662135,0.3705198,0.36724102,0.3544192,0.33506,0.31727645,0.3109548,0.32175612,0.34673393,0.37439907,0.3919002,0.39323756,0.38206062,0.36752608,0.35597932,0.34826526,0.34091294,0.3317664,0.32175744,0.31342694,0.30783388,0.30489108,0.30642173,0.31775096,0.33942124,0.36335862,0.37201723,0.35733917,0.3249617,0.29514435,0.28174424,0.28767928,0.3039508,0.32193542,0.33700657,0.34745944,0.35189256,0.34793532,0.3371882,0.32385683,0.3142701,0.31022426,0.31004915,0.30926493,0.3057139,0.3001026,0.29596376,0.2958261,0.29927897,0.30231142,0.30153966,0.29659668,0.2908084,0.28678548,0.28610566,0.290126,0.3034024,0.32773528,0.3580656,0.38008633,0.38278675,0.36596277,0.3416203,0.32138035,0.3088478,0.3002137,0.29215172,0.28653136,0.28778553,0.2976407,0.31233513,0.32515118,0.33087075,0.3285521,0.3206749,0.31078348,0.30171776,0.29606533,0.296742,0.3055339,0.32087302,0.33704627,0.3478738,0.3501345,0.34425676,0.3320168,0.3146281,0.29399005,0.27293968,0.25544134,0.24402063,0.23931026,0.23937126,0.24337862,0.2533882,0.27614895,0.3124247,0.35372177,0.37997803,0.38033542,0.35770273,0.33038858,0.31088892,0.30135992,0.2944918,0.28549898,0.27606985,0.27105632,0.27315566,0.2789662,0.28448245,0.28987062,0.30340877,0.32973555,0.36405393,0.38822246,0.3904519,0.3707316,0.34461632,0.32424843,0.31523374,0.31434524,0.3188754,0.32646957,0.3342876,0.3378377,0.33365417,0.3230851,0.31087524,0.3022468,0.29894307,0.30040002,0.30498132,0.3110334,0.31653014,0.31934115,0.31909716,0.3170271,0.3153339,0.31486776,0.31553233,0.31679824,0.31852365,0.3218234,0.3283007,0.34107664,0.357834,0.37265846,0.37406936,0.36009526,0.33577594,0.31471118,0.3034115,0.30254677,0.3066847,0.31235236,0.3184693,0.32530347,0.33276483,0.33957577,0.34470165,0.34715796,0.34647676,0.342098,0.33445153,0.3256426,0.3193183,0.31863275,0.3226765,0.326274,0.3224379,0.3093933,0.2914749,0.27682224,0.26981616,0.27000847,0.27368823,0.27816,0.2824727,0.28665814,0.29095435,0.2956023,0.3026857,0.31574365,0.3387157,0.36787274,0.39156905,0.393073,0.36693907,0.3205304,0.2709826,0.22876184,0.19584781,0.169474,0.15132324,0.14906849,0.16666417,0.19859765,0.22867613,0.24824508,0.26345953,0.29131603,0.33605334,0.38015366,0.39759958,0.37795064,0.33592662,0.2963173,0.27668133,0.2799823,0.30151534,0.33367014,0.36737108,0.3918754,0.39911875,0.39054704,0.3777306,0.37762734,0.3958882,0.42385197,0.43950224,0.43221322,0.406942,0.3844329,0.37686047,0.38214865,0.38843206,0.39095047,0.3984981,0.41811323,0.44336203,0.4506998,0.4272864,0.38277903,0.34750375,0.33967105,0.35394445,0.3670831,0.3647556,0.34879443,0.33212662,0.32361165,0.32492447,0.33226812,0.34076273,0.34598458,0.344556,0.33574662,0.32210243,0.30971298,0.30533355,0.31260636,0.3292792,0.34903565,0.36590672,0.37785992,0.38564715,0.38951087,0.38745722,0.3774939,0.36118814,0.34340978,0.32932255,0.32076296,0.31695274,0.31627086,0.3177139,0.32015446,0.32201597,0.32189965,0.32058138,0.3218533,0.33199653,0.35346317,0.38065603,0.39872727,0.39610848,0.37293342,0.3441169,0.32490325,0.32205224,0.33008274,0.34092927,0.3489904,0.35397783,0.35731974,0.36002764,0.36292446,0.36726323,0.37775794,0.39475587,0.41449487,0.42283973,0.41237128,0.38207364,0.3462015,0.3162297,0.30041263,0.29611328,0.2995641,0.30720964,0.3173336,0.32796028,0.33516797,0.33796787,0.33745936,0.33792606,0.34026775,0.3433884,0.34427384,0.34247494,0.3390673,0.33614302,0.33410987,0.33238664,0.32963398,0.325845,0.32186088,0.3189942,0.31770027,0.31928122,0.32661545,0.34419635,0.3704022,0.3968008,0.4085821,0.39996353,0.3747343,0.34698585,0.3257459,0.31449088,0.30920026,0.30635822,0.30360752,0.30157253,0.30133292,0.30324575,0.30604348,0.30859682,0.3116468,0.31767786,0.32819518,0.34195268,0.35582146,0.3676491,0.37649205,0.38147354,0.3804189,0.37246254,0.35953805,0.3465201,0.33728215,0.33277068,0.3304564,0.32771507,0.3235177,0.3196324,0.31744766,0.31726718,0.31921634,0.32623318,0.34390405,0.37116316,0.39881435,0.40914416,0.39596012,0.36448324,0.3335687,0.3143734,0.31070915,0.31583986,0.32402453,0.3303469,0.33334687,0.33319223,0.33237377,0.3347229,0.3436725,0.35957375,0.37621632,0.38286003,0.37028632,0.3410987,0.30812404,0.28742197,0.28483889,0.29693195,0.314194,0.33097672,0.34388575,0.3521748,0.35376903,0.3489643,0.34017876,0.3317095,0.3254833,0.32046756,0.3149512,0.30956995,0.30720162,0.31022286,0.3178856,0.32693377,0.33367482,0.33666494,0.33605072,0.3322954,0.32506523,0.31498656,0.3068149,0.3082576,0.32698298,0.3596038,0.39351746,0.40919283,0.40067613,0.37462187,0.34970927,0.33589128,0.33435586,0.3375807,0.3404889,0.34079036,0.33867013,0.33462894,0.3295482,0.3246857,0.32060125,0.3171111,0.3138512,0.31126127,0.31052038,0.31297866,0.31952548,0.32842445,0.33549997,0.33509564,0.32606944,0.31226376,0.30172637,0.29963493,0.3068111,0.3192122,0.33227515,0.3426553,0.34935367,0.3524686,0.353562,0.35617128,0.36569524,0.38426283,0.40669096,0.4209242,0.41763076,0.3974967,0.37088898,0.34896347,0.33668578,0.3327476,0.3332695,0.3347545,0.33452976,0.33102188,0.32455802,0.31896576,0.32078227,0.3373342,0.36686411,0.39770722,0.4097663,0.39475474,0.3591449,0.32343507,0.30130887,0.2957735,0.29963058,0.30672622,0.3149393,0.3242234,0.33302596,0.33679435,0.3324857,0.32111284,0.30854273,0.30063352,0.30010915,0.3050088,0.31094673,0.31333792,0.31057766,0.30436912,0.29877362,0.29853225,0.30841866,0.33408216,0.3734927,0.4158145,0.43933237,0.4338543,0.4046987,0.3751215,0.36057153,0.36206582,0.36808956,0.3722812,0.38088736,0.40027955,0.42695108,0.4413726,0.4310665,0.39789906,0.36132607,0.3355949,0.32361892,0.31839922,0.31499374,0.3148634,0.31902862,0.32580987,0.32886577,0.32652155,0.32133067,0.3183483,0.31848922,0.3173499,0.313068,0.3092736,0.318681,0.3463634,0.38572553,0.4134551,0.41434038,0.38938928,0.3601325,0.34337774,0.3413831,0.34264377,0.34054455,0.34194204,0.3557228,0.37977386,0.39465788,0.38646147,0.35719562,0.32826325,0.31383994,0.31356183,0.31258973,0.30365303,0.29011723,0.28193688,0.28078404,0.28067556,0.2758313,0.2689924,0.2686114,0.2786939,0.2949061,0.3088488,0.3189515,0.33265793,0.35785043,0.38993427,0.40993083,0.4011928,0.365785,0.3266786,0.3052665,0.3058649,0.31363332,0.31599578,0.31141216,0.3089832,0.31261852,0.31807628,0.31832966,0.31295225,0.30978906,0.31429473,0.3250287,0.332414,0.3325168,0.3289189,0.3305547,0.33814752,0.3430996,0.3368112,0.3229154,0.31968945,0.3402841,0.38061628,0.41388944,0.4186609,0.3901831,0.34819296,0.3122953,0.29385713,0.2892343,0.2916262,0.2954124,0.29953218,0.30438867,0.3095533,0.31315196,0.31366646,0.31139097,0.30790308,0.3044187,0.30138186,0.2993746,0.2982795,0.29624915,0.28910172,0.27458417,0.2546197,0.23513871,0.2207628,0.21269381,0.20911951,0.20837492,0.20953214,0.21252398,0.21787572,0.22708468,0.24082023,0.25653294,0.26785216,0.26878595,0.2577315,0.23827457,0.21423678,0.18816686,0.1627086,0.14463787,0.1410758,0.1536979,0.17499061,0.19406705,0.20402336,0.20573503,0.20415698,0.20342225,0.20395033,0.2039568,0.20178573,0.19758654,0.19299562,0.1901171,0.19069873,0.19496648,0.20137942,0.20704286,0.2103376,0.21207748,0.21494628,0.22070013,0.22941409,0.23977804,0.24980867,0.25601813,0.25422812,0.24254508,0.22414492,0.20586969,0.19272012,0.18425035,0.17646931,0.16790068,0.16209339,0.16432035,0.17555718,0.19149284,0.20548813,0.21258004,0.20940502,0.1948828,0.17168717,0.14827704,0.13530964,0.13887279,0.15602231,0.17716943,0.19338848,0.20088388,0.20139724,0.19810914,0.19344757,0.18755715,0.18028437,0.1726483,0.16811414,0.16989295,0.17773497,0.187123,0.1930704,0.19405855,0.1926715,0.19211888,0.19407332,0.19771367,0.20182729,0.20493732,0.20640807,0.20582235,0.20363335,0.20057125,0.19746669,0.19474936,0.1925606,0.19136404,0.19207568,0.19612242,0.20352833,0.21207255,0.2165802,0.21243684,0.19844426,0.17809914,0.15641285,0.13635807,0.11934254,0.107037455,0.103702836,0.11230227,0.13218468,0.15683235,0.17865656,0.19174767,0.19453168,0.18704514,0.17059414,0.14730376,0.12245071,0.10322816,0.09719431,0.10764239,0.13238634,0.16335297,0.19156194,0.21065712,0.22016121,0.22340445,0.22508532,0.22819217,0.23345883,0.23987867,0.24574499,0.2497747,0.2512382,0.2503225,0.24747592,0.24337661,0.23817639,0.23132174,0.22134711,0.2074868,0.19155945,0.17861593,0.17396916,0.17930824,0.19076116,0.20068985,0.2011411,0.18781932,0.1628199,0.1353049,0.11759145,0.11897725,0.13995983,0.17198324,0.20197688,0.21947211,0.22052824,0.20753829,0.18567775,0.16061085,0.13738982,0.12106091,0.11624537,0.12574922,0.14851059,0.17854582,0.20773737,0.22936921,0.24142577,0.2451604,0.24282856,0.23488623,0.21989374,0.1961898,0.16432749,0.1287065,0.09564412,0.07055061,0.054928053,0.04705277,0.043640375,0.04217848,0.041517477,0.041751385,0.043293614,0.045998614,0.04867677,0.049687233,0.048138067,0.044756394,0.04143779,0.039986193,0.041098922,0.04436331,0.04886656,0.053756934,0.058310386,0.06185988,0.063700534,0.0632329,0.060154703,0.05523059,0.051089313,0.05256285,0.06429574,0.08785406,0.119149305,0.15110753,0.17685546,0.1936815,0.20193492,0.20429546,0.2034272,0.20155542,0.19840705,0.19077158,0.17385823,0.14556965,0.10979443,0.07558389,0.052308034,0.043936584,0.047198858,0.054358393,0.059164386,0.061063576,0.06425807,0.07373845,0.09044785,0.11194139,0.13324259,0.15085661,0.16241623,0.16810559,0.16846682,0.16450143,0.15682925,0.14715433,0.138671,0.13507564,0.13802958,0.14559956,0.15372789,0.15920739,0.16133487,0.16103888,0.15914713,0.15589504,0.1511333,0.14471003,0.13659538,0.12724179,0.117584646,0.10828177,0.099163234,0.08943885,0.07863415,0.067017846,0.055484805,0.045220267,0.037232768,0.031908754,0.028708594,0.02659753,0.024689114,0.02265045,0.02053167,0.018456804,0.016481739,0.014612694,0.012863323,0.011245165,0.009784881,0.008521079,0.007508256,0.006769609,0.00626858,0.005911294,0.00558625,0.0052116066,0.0047591026,0.004256369,0.003759739,0.003316234,0.0029426487,0.002628458,0.0023643232,0.002149067,0.0019865646,0.0018640333,0.001758611,0.0016498574,0.0015393944,0.0014408771,0.0013653138,0.001307771,0.0012555633,0.0011979187,0.0011315128,0.0010574464,0.0009791126,0.00090208324,0.000832099,0.0007706035,0.00071218266,0.0006490915,0.0005797714,0.00051183556,0.0004570599,0.00042061528,0.00039807215,0.0003785036,0.0003546681,0.00032460142,0.00029067544,0.00025366104,0.00021449818,0.00017547498,0.0001411184,0.00011431872,9.4075884E-05,7.720895E-05,6.149991E-05,4.7511017E-05,3.6801834E-05,3.0333918E-05,2.7886548E-05]