[0.0037126993,0.008115303,0.019307321,0.036035784,0.05379347,0.06623268,0.06912955,0.06305645,0.052631263,0.043196097,0.03854929,0.039807785,0.04564019,0.052581068,0.05683416,0.056227762,0.05184096,0.04736902,0.047456577,0.054385602,0.066318125,0.07734946,0.08217699,0.07950785,0.072782874,0.06600458,0.061456908,0.059692636,0.0608571,0.06419421,0.067757905,0.07030062,0.07277285,0.07695813,0.08208766,0.08496218,0.08315004,0.0776404,0.07089526,0.06407796,0.056389485,0.04745233,0.038676206,0.032872375,0.032440756,0.0378368,0.04680464,0.05494115,0.05807032,0.054680884,0.047252733,0.040809315,0.040632904,0.04863055,0.062127184,0.07440458,0.07997933,0.07765241,0.07111716,0.06458268,0.060658563,0.05997618,0.062255997,0.06599129,0.068682514,0.068599045,0.06612766,0.06324227,0.06163177,0.062352747,0.06548663,0.06994859,0.072517194,0.070079446,0.061755385,0.050478995,0.04059272,0.035909113,0.037929382,0.045544222,0.054843348,0.060692146,0.059835766,0.052969243,0.044779986,0.041869175,0.050996136,0.07504777,0.1092095,0.14025275,0.15444423,0.14704396,0.12510392,0.10030511,0.080623865,0.068014376,0.061141297,0.058016036,0.056996565,0.057007596,0.057801604,0.05927932,0.06154366,0.06532744,0.07171688,0.0803062,0.08806179,0.09154668,0.08980703,0.08504489,0.0799847,0.07622501,0.07430647,0.074497126,0.07602666,0.07692518,0.0752891,0.07113222,0.066524684,0.06404973,0.06550973,0.07044426,0.07636439,0.07953005,0.07850379,0.07453111,0.070614785,0.0678961,0.06646946,0.06606553,0.06725403,0.06953441,0.0717432,0.07281677,0.07346782,0.07573379,0.08321608,0.09971129,0.12709124,0.16184972,0.19614595,0.22201335,0.2363069,0.24037099,0.23726852,0.22906418,0.21736963,0.2037652,0.19003975,0.17701465,0.16511971,0.15451081,0.1461157,0.14085354,0.13948882,0.1414588,0.14487197,0.14716767,0.14686573,0.14453316,0.14187974,0.14006443,0.1391988,0.13896815,0.13951977,0.1406953,0.14209817,0.14308858,0.143984,0.14533211,0.14751963,0.15003987,0.15226386,0.15367012,0.15425187,0.15423481,0.15415837,0.15436567,0.15492736,0.15550345,0.15571155,0.15512514,0.1532715,0.14985776,0.1451252,0.14005075,0.13610105,0.1349774,0.13818417,0.1460386,0.15661322,0.16613863,0.17127985,0.17172407,0.16997653,0.16911633,0.1703542,0.17351194,0.17813379,0.18440862,0.1920221,0.20033373,0.20814848,0.21543907,0.22252883,0.2310354,0.24142778,0.25334314,0.2635289,0.2679408,0.26177016,0.24269308,0.2120414,0.17670913,0.14533547,0.123887844,0.11160579,0.10431242,0.098579966,0.09545886,0.098828256,0.11314797,0.13983667,0.17469321,0.20843512,0.23139127,0.2406659,0.24064606,0.23888786,0.23839475,0.23675549,0.22822516,0.20967658,0.1828618,0.15481229,0.13338976,0.123969175,0.12693217,0.14024092,0.16061465,0.1851989,0.20969723,0.22956704,0.24092895,0.24345785,0.23969333,0.23381962,0.22893976,0.22646482,0.22603601,0.2266757,0.22782506,0.2293457,0.23117347,0.23241134,0.23266071,0.23257227,0.2338169,0.23703097,0.24087207,0.2431729,0.2426544,0.24034508,0.2385604,0.23953599,0.24352123,0.24848656,0.25102875,0.24719048,0.23362565,0.2105915,0.18632205,0.17890038,0.204795,0.2678411,0.3489624,0.42225435,0.4645435,0.47135153,0.44630444,0.4018972,0.34830323,0.2969196,0.25316378,0.21863222,0.18857436,0.15754907,0.12334595,0.09196081,0.07509174,0.081941895,0.1105266,0.14578348,0.16848528,0.16647698,0.14213736,0.109651364,0.086306185,0.083788745,0.10284132,0.13551524,0.16920632,0.194107,0.20580412,0.20655979,0.20147197,0.19587183,0.19249195,0.19204152,0.19321042,0.19451706,0.19429766,0.1920417,0.18777561,0.18232691,0.17661904,0.17130058,0.16676717,0.16293353,0.15937454,0.15422124,0.14466192,0.12888044,0.108764015,0.08938217,0.07466592,0.0640512,0.05367412,0.042032417,0.032793786,0.033056337,0.04721405,0.07374172,0.104705475,0.1304815,0.14341879,0.14160787,0.12761597,0.10763671,0.088963054,0.0794033,0.083304495,0.09907823,0.11851215,0.13296424,0.13790362,0.13487098,0.1288875,0.12815318,0.1426244,0.1785313,0.2308759,0.28215146,0.31205952,0.30876648,0.27476296,0.22317646,0.1723123,0.13788907,0.12787104,0.13889034,0.16060263,0.18194818,0.197074,0.20470697,0.20588493,0.20123012,0.19136898,0.17825866,0.16578619,0.15762268,0.15342344,0.14868201,0.13989936,0.13057809,0.13000375,0.14405946,0.16846444,0.19143201,0.20375185,0.20463972,0.19974442,0.19501977,0.19299485,0.19270225,0.19140495,0.18681939,0.1782667,0.16684286,0.15454109,0.14490218,0.142567,0.15168531,0.17142951,0.19578703,0.21669681,0.22967951,0.23433082,0.23160703,0.2214518,0.20314258,0.17822647,0.15078898,0.12798946,0.1165028,0.120210916,0.13649493,0.1582851,0.17796218,0.19208731,0.20128356,0.2074772,0.21097994,0.21017446,0.20408757,0.19526786,0.19137836,0.2001455,0.2235053,0.25220323,0.27170908,0.2691228,0.24265991,0.2013408,0.1634041,0.14636678,0.15805614,0.19021313,0.22410618,0.2436717,0.24428834,0.2324505,0.21692294,0.20462225,0.19867194,0.20024323,0.20682669,0.21310283,0.21166672,0.19830327,0.17550844,0.15560736,0.15389402,0.17867841,0.22227912,0.26658008,0.29484773,0.3010538,0.28789872,0.26160422,0.22969477,0.20079075,0.1814764,0.17128877,0.1630407,0.14853823,0.12525037,0.0969435,0.07069754,0.052567024,0.04526593,0.04713781,0.053177785,0.057468206,0.056187034,0.0498351,0.043621447,0.04559022,0.061351538,0.08964973,0.121005096,0.14382769,0.15065585,0.1424566,0.12590285,0.10968187,0.09975932,0.097572535,0.09980264,0.10157361,0.09962779,0.09404091,0.087457746,0.08385681,0.08733916,0.09905257,0.11499939,0.12624207,0.12557547,0.112305306,0.093494356,0.07803926,0.07265636,0.07912151,0.09500584,0.11439138,0.13179018,0.14609946,0.16135883,0.1813492,0.20405833,0.22181553,0.22689737,0.21654518,0.19341747,0.16375941,0.13451312,0.111367285,0.09653846,0.08971754,0.08925685,0.093445666,0.09896788,0.1015302,0.0978463,0.08871176,0.07831575,0.071825475,0.07206273,0.07845003,0.08741332,0.09488773,0.09892306,0.10057836,0.104192235,0.11495205,0.13769685,0.17063214,0.2057866,0.23141776,0.24410053,0.24988346,0.25956598,0.27620986,0.29492795,0.3086474,0.31570438,0.3181851,0.31738406,0.31094167,0.2946297,0.26727572,0.23468949,0.21027207,0.20601177,0.2229324,0.24654369,0.25862983,0.24929936,0.22426683,0.19635916,0.17772652,0.17233253,0.17728738,0.18438877,0.18657012,0.18081234,0.16887236,0.15313315,0.13623944,0.12268839,0.11873025,0.12689994,0.14119005,0.15102793,0.14909919,0.13723944,0.12280076,0.11422682,0.11552203,0.12590732,0.14012466,0.15480144,0.17127971,0.19375907,0.22082424,0.24351783,0.25233123,0.24623859,0.23349528,0.22374213,0.22159643,0.22572333,0.23284715,0.24019893,0.24658103,0.25114986,0.25379977,0.25447902,0.25508794,0.25823367,0.267542,0.2837194,0.3043759,0.32260397,0.33092746,0.3241653,0.3035758,0.275721,0.24828635,0.22488105,0.20496716,0.18801528,0.17709826,0.17639382,0.1865984,0.20237724,0.21616751,0.2225342,0.22097623,0.21479075,0.20828293,0.20407398,0.20131683,0.19719167,0.18900399,0.17653365,0.16175158,0.14766735,0.13691936,0.13038279,0.12709577,0.12448585,0.120369315,0.11333155,0.103297025,0.091228716,0.080427535,0.07567615,0.08054663,0.09360019,0.109068654,0.12072358,0.12562923,0.124454975,0.12090433,0.122539334,0.1384895,0.17345887,0.22007167,0.26141807,0.2808696,0.27346167,0.24791892,0.2208308,0.20765437,0.2145989,0.23661315,0.26083612,0.27516875,0.27320933,0.2560176,0.23150831,0.21391195,0.21765496,0.24687934,0.2892572,0.3239356,0.33640945,0.32760692,0.3081921,0.28871205,0.27284274,0.259119,0.24402533,0.22600283,0.20708078,0.19217603,0.18453412,0.18166482,0.17713068,0.16668458,0.1527579,0.14182019,0.13902578,0.14595415,0.16087061,0.18067764,0.19992556,0.21383142,0.21891361,0.21583772,0.20725967,0.19901013,0.19751787,0.20804125,0.2291681,0.2538159,0.27262458,0.2802725,0.27601385,0.26179132,0.23991628,0.21274896,0.18468042,0.16252978,0.1550193,0.16684729,0.1945191,0.225516,0.24683774,0.25146973,0.24123664,0.22169584,0.19948691,0.17905296,0.1622399,0.14761342,0.1350017,0.12786259,0.13177957,0.14717917,0.16803373,0.1859112,0.19674619,0.20039062,0.19832443,0.19116634,0.17991948,0.16599871,0.15235426,0.14413662,0.14731658,0.16392052,0.18733425,0.2064117,0.2133903,0.2120918,0.21316569,0.22610982,0.2494021,0.27349162,0.2866765,0.28359902,0.26432052,0.23296905,0.19548863,0.16157097,0.14169918,0.14172578,0.15710782,0.17614694,0.1878187,0.18930666,0.18535821,0.18394907,0.19140463,0.21013199,0.23728341,0.26475254,0.28280196,0.28535673,0.27327678,0.25275376,0.23105977,0.21397054,0.20365386,0.19901113,0.1962049,0.19283368,0.18943413,0.18916835,0.19410081,0.20402981,0.21677196,0.2295353,0.23932074,0.24381083,0.24244939,0.23704956,0.23012097,0.22282512,0.21352302,0.199759,0.18073611,0.15961133,0.14139426,0.12987567,0.12504588,0.12526059,0.13084882,0.14482407,0.16883107,0.19809459,0.22281213,0.23427111,0.23087542,0.2171929,0.20002525,0.18436414,0.17253554,0.16357882,0.15468717,0.14335753,0.12990911,0.117279075,0.10951402,0.11068546,0.123292424,0.14658171,0.17472939,0.19957636,0.21464555,0.21976577,0.22188665,0.23329741,0.2648302,0.318122,0.38158128,0.43538734,0.46099004,0.45006776,0.4108617,0.36794126,0.35228932,0.37846342,0.4318069,0.47631434,0.4849843,0.45694658,0.41318962,0.37409517,0.34877458,0.33584908,0.33209085,0.33483553,0.341624,0.34813157,0.34674335,0.32984748,0.2955305,0.25490323,0.22588633,0.22158341,0.2386074,0.26269093,0.2799128,0.28599784,0.28485245,0.28298,0.28493965,0.29022595,0.29439738,0.29125834,0.27822557,0.25855485,0.24329574,0.24878629,0.2892724,0.36393046,0.45041537,0.5138801,0.5292004,0.49472857,0.43043151,0.36120808,0.30702808,0.27716997,0.2723912,0.28333235,0.2949654,0.2918912,0.26845166,0.23157251,0.19794942,0.1827531,0.19052607,0.21347475,0.23836827,0.25695205,0.26818255,0.27605656,0.2826035,0.28831348,0.29223552,0.29451117,0.2944068,0.2914441,0.28568554,0.28068683,0.2834081,0.30424574,0.34947947,0.41441908,0.47920474,0.5203428,0.52426547,0.49489677,0.44615892,0.39096785,0.33674696,0.2865835,0.24337965,0.20893073,0.18348813,0.16412145,0.14781334,0.13474578,0.13223104,0.15085131,0.19772215,0.26649538,0.3393468,0.39334488,0.41392288,0.3993224,0.36218366,0.3227763,0.2997947,0.29998657,0.3141731,0.32455996,0.31619063,0.28890574,0.25855765,0.2526811,0.29029024,0.36847904,0.45669737,0.5215162,0.54630977,0.5415513,0.5266363,0.5152174,0.5081947,0.5004191,0.4866805,0.46489742,0.43679747,0.40622702,0.37632468,0.34622547,0.31515658,0.28621793,0.2689099,0.26865935,0.28171566,0.2942474,0.29498816,0.28201556,0.2650656,0.2580901,0.2715452,0.30552986,0.3493627,0.3865446,0.40395144,0.39997485,0.38683176,0.38550314,0.40929112,0.4539764,0.4953529,0.51101613,0.49326897,0.45595625,0.41717553,0.39008507,0.37743127,0.37750712,0.3847504,0.39021125,0.3831979,0.35782596,0.31759357,0.27401635,0.2399943,0.22429842,0.22811295,0.24610014,0.26825106,0.28592315,0.29403606,0.29338506,0.28876698,0.28954336,0.3034412,0.32997933,0.3548429,0.3595334,0.33465055,0.29196897,0.25829002,0.2625617,0.31385675,0.39562878,0.47094575,0.5114106,0.51129633,0.48929653,0.46455643,0.44552496,0.42761967,0.4058925,0.37942752,0.35182527,0.32598218,0.30226088,0.27846774,0.25262347,0.22510426,0.19864412,0.1757154,0.15709807,0.14232464,0.13213593,0.12777545,0.13031776,0.13996153,0.1569985,0.180616,0.20628063,0.22565083,0.23027307,0.21835709,0.20000352,0.19637178,0.22919077,0.30185524,0.39118695,0.45846954,0.47888872,0.45626327,0.4154329,0.37818995,0.35083818,0.32831833,0.30423784,0.27744398,0.2494403,0.22237073,0.19596897,0.1699069,0.14603715,0.13064326,0.12977831,0.14301665,0.16019867,0.1690494,0.1637968,0.14916861,0.13443922,0.12795155,0.13390271,0.15220632,0.17767787,0.20158882,0.21610606,0.21903943,0.21441686,0.20904787,0.20831513,0.21357794,0.22199547,0.2280553,0.22689228,0.21654761,0.19919918,0.18023081,0.16756366,0.16794233,0.18311471,0.20677768,0.22897005,0.24176855,0.24373968,0.23769057,0.22826052,0.21955,0.21497984,0.21586198,0.22175659,0.23096837,0.2424459,0.25537193,0.26867834,0.28029788,0.28707874,0.28598237,0.2746106,0.25388676,0.22696032,0.19901238,0.17473328,0.15966934,0.15948361,0.17710988,0.20867611,0.243499,0.27048978,0.28417394,0.2865384,0.28323242,0.279422,0.27722657,0.2749379,0.26792863,0.25156185,0.2251957,0.19423442,0.16829939,0.15684855,0.16464275,0.18917216,0.22126688,0.24931945,0.26487482,0.2663113,0.25787187,0.24738751,0.24249536,0.24853043,0.2646782,0.2841672,0.2968223,0.2943602,0.27382326,0.23896009,0.20119405,0.17655464,0.17728569,0.20305382,0.23959486,0.27086568,0.28800687,0.29285648,0.28834882,0.27691138,0.2609792,0.24799174,0.24535227,0.25464168,0.26950142,0.28139773,0.28575677,0.28297076,0.27579823,0.2670615,0.25895926,0.25349626,0.2510853,0.25086114,0.24979717,0.24633728,0.24090731,0.23712224,0.23652422,0.23691215,0.23333119,0.22372119,0.21148227,0.20240127,0.20140101,0.209841,0.2264747,0.2460171,0.26059544,0.26248255,0.24894176,0.22342475,0.19332816,0.16606937,0.1464213,0.1356488,0.13246106,0.13459177,0.14019547,0.14795472,0.15753396,0.17010297,0.18799104,0.21095723,0.23403029,0.24922471,0.2529285,0.24830855,0.24324979,0.24357599,0.2517831,0.26676095,0.28541562,0.3018588,0.30994913,0.3058602,0.29139414,0.27266955,0.25758907,0.25078598,0.25205275,0.25694913,0.2607918,0.25996363,0.25158033,0.23427306,0.21074398,0.18931077,0.17759548,0.17732446,0.18304203,0.19091539,0.20164801,0.21918684,0.24223064,0.26550964,0.28253224,0.29188654,0.29446545,0.2930679,0.28925252,0.28517318,0.28055766,0.2744185,0.26457238,0.25128645,0.23602808,0.22211035,0.21358377,0.21416931,0.22477691,0.24141152,0.25885475,0.2727076,0.28208473,0.28580984,0.28364173,0.27574944,0.265184,0.2559364,0.25217965,0.25602925,0.26629683,0.27797094,0.2850981,0.2845267,0.27752152,0.26789594,0.25953016,0.2565649,0.26185378,0.27558148,0.29165637,0.30210903,0.30127177,0.2913537,0.27949455,0.27496442,0.28287604,0.30196562,0.32323852,0.33642265,0.33579245,0.32399464,0.30838683,0.29676375,0.29419342,0.30082604,0.3118509,0.3189933,0.3169771,0.3057644,0.2905251,0.27637553,0.2678782,0.26682815,0.271692,0.2750384,0.26833105,0.24785608,0.21895404,0.19298716,0.18209662,0.1943913,0.22813249,0.2704768,0.30172876,0.3094627,0.2946719,0.27144632,0.25525138,0.25891083,0.28552556,0.32923988,0.3729492,0.40050337,0.403712,0.3893226,0.3710028,0.3643252,0.37836644,0.41151667,0.44943187,0.47269288,0.47009477,0.44402826,0.4079964,0.37766847,0.3687477,0.38809738,0.4284834,0.46537384,0.47541657,0.45082226,0.4061155,0.3638556,0.3450682,0.36001396,0.40558147,0.46271348,0.50601774,0.5194214,0.5049843,0.479161,0.45952725,0.45896378,0.47741055,0.50421804,0.5202627,0.51587427,0.4943541,0.46967578,0.45169687,0.44576702,0.45387173,0.47516176,0.5006615,0.51651937,0.514107,0.4967501,0.47619212,0.46430838,0.4694252,0.49194622,0.5241172,0.5496857,0.555967,0.5396473,0.5106759,0.48315167,0.4706081,0.47773656,0.4979651,0.5132263,0.50622517,0.47199798,0.42176807,0.37221256,0.33422765,0.31002247,0.29700235,0.29185387,0.2900236,0.28745377,0.28251806,0.27901968,0.28423873,0.30685958,0.35056698,0.4105694,0.47089386,0.51442176,0.5312144,0.5251186,0.5067428,0.48892236,0.4815575,0.4889412,0.50610334,0.5204485,0.5214283,0.50601524,0.47839597,0.44304106,0.40580627,0.37504068,0.3613516,0.36887166,0.39288685,0.4216354,0.4459742,0.46158507,0.46938285,0.47055867,0.46529797,0.45209754,0.42791036,0.389765,0.33738175,0.28085777,0.24142335,0.24504133,0.300454,0.38981736,0.4737151,0.5214797,0.5262019,0.50476354,0.47734988,0.45863745,0.45511714,0.4673076,0.48856917,0.50808996,0.5180652,0.5162379,0.50371855,0.47992396,0.44634342,0.40734932,0.3704923,0.33852112,0.30963948,0.27924544,0.2472486,0.218368,0.20087965,0.20101643,0.21962653,0.25071514,0.28452072,0.31269622,0.33229494,0.3479308,0.3690422,0.4055159,0.4565576,0.5085781,0.5391176,0.53655577,0.50602764,0.46799287,0.4406707,0.4350675,0.4504746,0.47886086,0.50508493,0.51610065,0.5068808,0.4827805,0.45361874,0.429981,0.42218587,0.4346402,0.45875755,0.471855,0.45345232,0.4008074,0.3318428,0.2701176,0.23075962,0.21713139,0.22380173,0.24111156,0.25459382,0.25174734,0.22693503,0.18944924,0.15815319,0.15289675,0.18070899,0.23281662,0.28999433,0.33493283,0.3582785,0.35864207,0.33723095,0.29888812,0.25200114,0.20932417,0.17946602,0.16382758,0.15655975,0.1526346,0.15053143,0.15117747,0.15466996,0.15992737,0.1665007,0.17476457,0.18516034,0.19613491,0.2030843,0.20092238,0.18855827,0.17311667,0.16499726,0.17048515,0.1861016,0.20306295,0.21426855,0.2190495,0.22180481,0.22753656,0.23692828,0.24520938,0.24544501,0.23506568,0.21796213,0.20133923,0.18973546,0.1833509,0.18068053,0.18118371,0.18522449,0.1920501,0.20006545,0.20838489,0.21843438,0.23291893,0.25448275,0.28352487,0.31783584,0.35213473,0.38102123,0.40009555,0.40731028,0.40108657,0.38258347,0.35655582,0.33200607,0.31594005,0.31048778,0.31207156,0.31721708,0.32478964,0.33768487,0.35876647,0.38837072,0.42074803,0.44801405,0.4642404,0.47012413,0.47049403,0.47103062,0.47547475,0.48383078,0.49300385,0.49693015,0.4906697,0.47013366,0.43474516,0.3900199,0.35242295,0.34155527,0.36390412,0.400768,0.42045888,0.40264323,0.35397807,0.30053768,0.26998577,0.27924666,0.3262719,0.39189172,0.44448003,0.46255028,0.44426885,0.40997425,0.38225594,0.37685454,0.3956448,0.42927563,0.45973942,0.46936023,0.45236406,0.41700813,0.38037363,0.35788333,0.36078146,0.38974348,0.4336115,0.46950445,0.47947225,0.45979145,0.42467105,0.3927001,0.38064477,0.39426538,0.42795277,0.46256217,0.47831002,0.46555567,0.43152067,0.39284626,0.36687288,0.36627993,0.39244738,0.43402612,0.46835124,0.4782382,0.46005127,0.42687997,0.39643088,0.38632372,0.40512255,0.4502078,0.5038786,0.5469,0.5677202,0.5691208,0.55610687,0.5328543,0.5023695,0.4727633,0.45349398,0.4504713,0.46366742,0.48538396,0.5037114,0.50622433,0.49530128,0.48510048,0.49226034,0.5139756,0.5349191,0.54034996,0.531283,0.5154583,0.49756825,0.47558105,0.44796908,0.41712245,0.38625702,0.35483298,0.31944165,0.28221285,0.25585258,0.26087168,0.30744603,0.38491774,0.46278962,0.5143391,0.53037924,0.52125573,0.50091326,0.47867608,0.4582882,0.44251713,0.43390515,0.43296424,0.43773326,0.44477305,0.45192516,0.45955178,0.4714166,0.48958495,0.51216894,0.5309046,0.54021746,0.53915334,0.53387165,0.5288482,0.526519,0.525776,0.5262118,0.52760786,0.5303677,0.53310704,0.5315528,0.5209557,0.50293726,0.49003157,0.49593577,0.5226553,0.5536101,0.56963164,0.56113464,0.53358644,0.49567035,0.45559394,0.42026117,0.39662096,0.38741338,0.38765892,0.3886406,0.3842485,0.37744975,0.37751043,0.39445564,0.42779753,0.4659408,0.4900345,0.48969626,0.4665583,0.43386686,0.40432075,0.38664338,0.38300648,0.39186516,0.4080558,0.4251155,0.43748036,0.44323325,0.44487086,0.44831038,0.4598407,0.4799274,0.5013891,0.51099557,0.5003258,0.46947825,0.42789057,0.38621143,0.3533142,0.33406138,0.32921863,0.3352661,0.34528482,0.35298622,0.35544336,0.35565683,0.36108878,0.37919807,0.4098022,0.44278717,0.46395576,0.4667175,0.45514345,0.43947697,0.42538604,0.4137632,0.40283287,0.39558005,0.39725518,0.4122298,0.43686783,0.46044907,0.47230825,0.4717858,0.47013795,0.47966233,0.501551,0.5246794,0.5364645,0.53260016,0.5168475,0.49573675,0.47581315,0.46309003,0.46242937,0.47484365,0.49787655,0.5254268,0.54965764,0.56251216,0.56140804,0.5503562,0.5374214,0.5267846,0.51798385,0.50781417,0.49509647,0.47994557,0.4637257,0.44822678,0.43530774,0.4252678,0.4163426,0.406913,0.3969237,0.3881863,0.38347432,0.38727072,0.40495816,0.43783972,0.47954282,0.51691645,0.54005164,0.54696774,0.5444243,0.5397379,0.53735894,0.5368286,0.53540665,0.52990794,0.51821375,0.50019854,0.4786618,0.45950565,0.45085955,0.45618033,0.4719834,0.48649085,0.4921572,0.48809507,0.48231342,0.4796056,0.4811828,0.48357904,0.48552588,0.4882035,0.495519,0.5106029,0.53040123,0.54602426,0.5473504,0.5360423,0.5223861,0.51751614,0.51762545,0.512002,0.49315313,0.4680892,0.4486073,0.4425347,0.4490346,0.4636881,0.48197517,0.49925748,0.5102951,0.5096545,0.49594638,0.47383964,0.45527795,0.44932565,0.45649052,0.4639695,0.4607598,0.4430975,0.41989693,0.3996736,0.38860133,0.3861077,0.38992044,0.39528188,0.39883623,0.3998342,0.40088484,0.4057372,0.41697797,0.43673947,0.46316636,0.49006662,0.5051585,0.50044864,0.4763069,0.44470012,0.41941193,0.41105223,0.42055205,0.4404497,0.45705938,0.45958626,0.44539058,0.4212816,0.39742413,0.38319793,0.3846577,0.40209976,0.42887154,0.45290455,0.46556213,0.46645746,0.4631451,0.46327826,0.46990147,0.48029697,0.48912585,0.4919879,0.4892135,0.48529387,0.4850563,0.48935792,0.49611726,0.5047373,0.5159047,0.529401,0.5407122,0.54635257,0.5451816,0.53826183,0.52374345,0.4991907,0.46711907,0.4355117,0.4116565,0.39197144,0.3656437,0.3230054,0.26856112,0.21751438,0.18776083,0.18570216,0.20548342,0.23293419,0.25699154,0.27297914,0.28270924,0.28884307,0.29309252,0.29521528,0.29414615,0.2877992,0.2748854,0.25586087,0.23462604,0.21554442,0.2027243,0.19746597,0.20006709,0.20839982,0.2194093,0.22929077,0.23588614,0.23855567,0.23792046,0.23533107,0.23310225,0.23338644,0.23601799,0.23764266,0.23396452,0.2234054,0.20834137,0.19343328,0.18230873,0.17623083,0.17387593,0.1732683,0.17297749,0.17325324,0.1747564,0.17750156,0.18059482,0.1833126,0.18555774,0.18721713,0.1882268,0.18922043,0.19147931,0.19536994,0.19949196,0.20234345,0.20400178,0.20565791,0.20720638,0.20681214,0.2027816,0.1958226,0.18904002,0.18644728,0.19045748,0.20019889,0.21069433,0.21579568,0.21185528,0.20073424,0.18771285,0.17815666,0.17443888,0.1759829,0.180299,0.1846392,0.18746777,0.18873222,0.18905467,0.18831305,0.1861722,0.18266505,0.17843014,0.17329095,0.16642505,0.15745346,0.14740616,0.1382462,0.13150729,0.12843077,0.12904835,0.13220893,0.13449925,0.13261567,0.12514946,0.11432413,0.10438048,0.09930774,0.10072892,0.10705944,0.114353605,0.118318856,0.11680102,0.11090481,0.10406289,0.10034794,0.10263359,0.111185126,0.12289369,0.13249733,0.13628465,0.13438486,0.13036942,0.12765507,0.12826096,0.1325229,0.140087,0.14888543,0.156015,0.158759,0.15671252,0.15127121,0.14523207,0.14100206,0.13949889,0.13919826,0.13771711,0.13429599,0.13059948,0.12887983,0.1298046,0.13275291,0.13710761,0.14272323,0.14875168,0.15357511,0.15565383,0.1549967,0.15306777,0.15222031,0.15457302,0.16077225,0.1694238,0.17777617,0.18404503,0.18846796,0.19267575,0.19804943,0.20520109,0.2140407,0.22312522,0.22885948,0.2266265,0.21375494,0.19274218,0.17122264,0.15984781,0.16676927,0.19381632,0.23423302,0.27780423,0.31636047,0.34812844,0.3743739,0.39545846,0.40844098,0.4097623,0.39799085,0.3758904,0.3486975,0.32241866,0.30087307,0.28706732,0.28404137,0.2952111,0.32008836,0.3520031,0.3811687,0.40130302,0.412909,0.42015576,0.42580804,0.42906782,0.42639706,0.41468623,0.39376608,0.36850175,0.34597954,0.33200264,0.32783476,0.33268836,0.34411803,0.35798076,0.3660306,0.3607161,0.3401827,0.31162906,0.28641906,0.27480522,0.28108856,0.30197224,0.3267443,0.34220898,0.3402984,0.3223625,0.29799843,0.27944395,0.27760962,0.29596248,0.32753494,0.35524043,0.36318853,0.34611404,0.3132248,0.28062174,0.26405028,0.27163148,0.29998207,0.33365044,0.35349897,0.34924164,0.32505497,0.2954986,0.27572188,0.27766618,0.30376408,0.34598756,0.38392374,0.40002576,0.38804305,0.35975266,0.33304152,0.32519957,0.34356573,0.38227642,0.4221561,0.44085822,0.42875686,0.39393947,0.3562186,0.3331405,0.3350378,0.35976756,0.39433658,0.4166098,0.41131997,0.3778188,0.3333244,0.29937324,0.2951654,0.32652852,0.38317978,0.437152,0.46013603,0.44024602,0.39045188,0.33713958,0.30566803,0.31128165,0.3516403,0.40703726,0.44546795,0.44555345,0.40700698,0.35282695,0.31065667,0.30363524,0.33697692,0.39667186,0.45007098,0.46835384,0.442955,0.3917768,0.34109232,0.3118197,0.3101139,0.32945925,0.35127628,0.35603905,0.33390412,0.29315254,0.2507721,0.22091103,0.2059527,0.20105489,0.19998957,0.20017093,0.20119889,0.20242791,0.20323636,0.20674592,0.22411878,0.26762924,0.338385,0.41900766,0.48543015,0.52693725,0.54940224,0.5649026,0.57524186,0.57924443,0.5763881,0.572756,0.57042956,0.5710407,0.57370216,0.5781936,0.5794219,0.5749312,0.56707,0.5632522,0.5616372,0.55064243,0.5148305,0.4516976,0.37381148,0.30519176,0.26800737,0.2716757,0.30707765,0.350943,0.38103628,0.38663432,0.3717388,0.34624648,0.3214608,0.30755052,0.31369892,0.3426864,0.38760003,0.43309736,0.4632356,0.4671665,0.44411477,0.40422606,0.3648944,0.33990023,0.32850328,0.3202494,0.30658975,0.2952933,0.30053857,0.33260953,0.38210452,0.43043324,0.4577229,0.45958886,0.44180167,0.4169931,0.39294884,0.37456167,0.36409092,0.3635416,0.37219968,0.3849102,0.39550307,0.39949512,0.3994733,0.40208435,0.4169874,0.44738033,0.4885911,0.5276793,0.5552909,0.569628,0.57514167,0.574465,0.5681699,0.5599725,0.55521154,0.5569522,0.5603938,0.56272525,0.5638157,0.5684424,0.57498544,0.580817,0.5797557,0.5694401,0.54566175,0.51029974,0.46860185,0.43119648,0.40394613,0.38752255,0.37753627,0.37054428,0.3656402,0.36154664,0.3546784,0.33770564,0.30770877,0.26901072,0.23600966,0.22256474,0.23499668,0.26575604,0.30061463,0.3274165,0.34308672,0.35086608,0.35488483,0.35657334,0.35588884,0.35235468,0.34610876,0.3373182,0.32707462,0.31844565,0.3167949,0.32987335,0.36060765,0.40488163,0.4473852,0.47469294,0.47900128,0.46592298,0.4432459,0.41884708,0.3938404,0.36779034,0.34013548,0.31563106,0.3036083,0.3138053,0.3492733,0.40355682,0.46576658,0.5246605,0.5725279,0.6028516,0.61542827,0.6140674,0.60664773,0.59724957,0.58964497,0.587092,0.59342194,0.6071882,0.6226223,0.6329903,0.63258535,0.61797017,0.5883433,0.55167204,0.5180187,0.49382544,0.47297224,0.44742274,0.41356397,0.37668967,0.3425853,0.31534186,0.29834065,0.29526296,0.30662644,0.32589403,0.34255365,0.34728923,0.33703563,0.31718162,0.30148003,0.30587137,0.33772624,0.38850737,0.43932998,0.4717345,0.47686887,0.45479977,0.41478562,0.37241814,0.34553084,0.3427497,0.35888734,0.37901688,0.3915069,0.39492485,0.39652035,0.4034551,0.4153668,0.4243656,0.42147055,0.40595734,0.38517627,0.36866984,0.36015487,0.35864046,0.36269066,0.3723149,0.38723162,0.40412185,0.41907755,0.42932832,0.43674722,0.44644472,0.4646325,0.49133515,0.51976293,0.5398949,0.5499196,0.55492187,0.56306416,0.5748428,0.5883438,0.5991362,0.6056872,0.6047639,0.5972497,0.5864515,0.57738066,0.5709453,0.56641173,0.56349105,0.56035024,0.5490453,0.51965606,0.4712747,0.41668156,0.37298992,0.34796655,0.33857274,0.3376843,0.3422605,0.3498499,0.3579963,0.36350057,0.3674318,0.3716062,0.37662446,0.3799323,0.3803706,0.3795828,0.37999108,0.38057837,0.3737452,0.35122493,0.3102152,0.26237813,0.22505873,0.21217014,0.22138093,0.24238253,0.26360217,0.281163,0.29443693,0.30821177,0.32802248,0.3580582,0.3909851,0.41543052,0.4238901,0.4227852,0.4217249,0.42591146,0.43224046,0.4366071,0.4369967,0.43289724,0.42404428,0.4106537,0.3974751,0.3940163,0.41306722,0.4596409,0.52526236,0.5891563,0.63324285,0.6513331,0.64769804,0.6279601,0.59523135,0.5547941,0.5154803,0.4869498,0.47230324,0.46767816,0.46430323,0.45578575,0.44183806,0.43128133,0.43316278,0.45014933,0.47186562,0.48633504,0.48741353,0.48096225,0.47592124,0.4774854,0.4838946,0.48880184,0.48765683,0.47966298,0.470052,0.46355414,0.46307877,0.46745968,0.47861436,0.49852696,0.52798533,0.55915976,0.5844647,0.59938574,0.6062839,0.6039949,0.5893919,0.5607536,0.52561307,0.4944575,0.47460875,0.46574914,0.46569848,0.473151,0.4886159,0.5110995,0.5358043,0.5551165,0.5608682,0.5512343,0.5313638,0.5114292,0.49841273,0.49295703,0.49165058,0.49082646,0.49027714,0.49050307,0.49301848,0.49691367,0.5015614,0.5065703,0.5153909,0.5304418,0.55013615,0.56613064,0.5728058,0.5710213,0.5674026,0.56378317,0.55718154,0.5442826,0.52767897,0.5123634,0.5012029,0.4937818,0.48971102,0.4907857,0.49869314,0.5127983,0.5273814,0.536158,0.5341864,0.52352226,0.5071424,0.48827708,0.46627542,0.44479668,0.4300648,0.42910334,0.4399308,0.45496094,0.46532857,0.4678513,0.46362737,0.4577198,0.45969555,0.4772788,0.5107313,0.5462677,0.5709895,0.5790638,0.5772369,0.5696172,0.55822974,0.54299045,0.5297971,0.5241797,0.5286722,0.5402436,0.55396897,0.5650564,0.57019424,0.569963,0.565891,0.56018835,0.55308485,0.5484834,0.5505937,0.5613751,0.57377726,0.57805324,0.5675196,0.54431087,0.5155678,0.49018338,0.473506,0.4658158,0.46271157,0.46242356,0.4696469,0.49170542,0.52879244,0.5710003,0.60719234,0.6317505,0.64497876,0.6454602,0.63233453,0.60819006,0.5827699,0.56457114,0.5570483,0.55604976,0.5567002,0.5554326,0.5529465,0.5508573,0.5510878,0.5524645,0.5529008,0.5495127,0.54172164,0.5300575,0.51662874,0.505014,0.4991274,0.50200087,0.5116561,0.5230031,0.5288503,0.5250628,0.5125206,0.49933454,0.4980657,0.51680607,0.55205584,0.5888739,0.61327654,0.61859494,0.60706216,0.58199096,0.5502411,0.5201974,0.5007754,0.49201712,0.4862475,0.47607604,0.4625658,0.4549947,0.4601479,0.47657895,0.49418545,0.5031737,0.5003695,0.4898446,0.47717223,0.46504435,0.45413694,0.44765115,0.44933203,0.46023405,0.47418055,0.48444673,0.48708558,0.48484644,0.4828817,0.48835325,0.5065909,0.5364468,0.5686333,0.5900096,0.5963635,0.5905104,0.5795677,0.56287146,0.5405806,0.51339775,0.48791602,0.4673653,0.45404038,0.44809046,0.45119345,0.46303234,0.48195228,0.50261563,0.51963717,0.52720016,0.52628404,0.5213783,0.52090997,0.527165,0.53893465,0.54951334,0.5543472,0.5501743,0.53827405,0.52054715,0.49869418,0.47444567,0.45301652,0.44543883,0.46048734,0.4975945,0.5418054,0.5760045,0.590765,0.5896842,0.58117145,0.57111067,0.56133723,0.55146736,0.5426312,0.53694147,0.53868586,0.54919857,0.5655078,0.57847196,0.5815857,0.5730737,0.55851984,0.5431561,0.5327349,0.5292675,0.5328147,0.53791517,0.539701,0.5364279,0.53172725,0.52925915,0.5304015,0.53510785,0.5424907,0.5519567,0.5610699,0.56857234,0.5715566,0.566133,0.54629993,0.5100066,0.46160576,0.41001192,0.36280558,0.32429782,0.2987764,0.29226753,0.30816078,0.34051272,0.37397102,0.39041936,0.37990054,0.34490955,0.30164492,0.26919043,0.26036355,0.2723125,0.29260552,0.3082346,0.31435338,0.31311944,0.30839327,0.30254456,0.29602095,0.28957894,0.28336215,0.27654,0.26620278,0.25142,0.23586185,0.23089324,0.24740534,0.2874306,0.33439264,0.36294302,0.3536857,0.30959618,0.25121078,0.20375375,0.18275969,0.19079892,0.21971922,0.25382146,0.2756231,0.27257672,0.2455493,0.20856778,0.18173309,0.17812228,0.19755185,0.22911866,0.2607152,0.28560087,0.30228862,0.31149805,0.31397727,0.31157637,0.3069749,0.30261317,0.2987431,0.2938281,0.2861323,0.2757411,0.26532587,0.25924492,0.26132768,0.272068,0.28664753,0.29592597,0.29085696,0.2710333,0.24734147,0.23760425,0.2515823,0.28465414,0.3205994,0.3458375,0.35466552,0.34845296,0.33019486,0.30822363,0.29635623,0.310559,0.35410932,0.4153597,0.47135392,0.50341946,0.5027796,0.47439897,0.4337517,0.4007726,0.39041182,0.40189207,0.4207621,0.424992,0.4017651,0.35238314,0.29663423,0.25988147,0.26211885,0.30500317,0.3736476,0.44601765,0.50411844,0.540586,0.5570092,0.56077224,0.5589128,0.55484587,0.5477323,0.5357818,0.5188893,0.49723864,0.46788716,0.42731234,0.3780932,0.3335558,0.30864444,0.3077481,0.32064012,0.3330997,0.33899388,0.34154096,0.3466783,0.3569452,0.37188208,0.38974032,0.40762043,0.4216263,0.42930734,0.43289137,0.44031295,0.4598759,0.49384204,0.53330064,0.56410223,0.57610846,0.5705523,0.55696344,0.5464549,0.54742736,0.5618276,0.5840857,0.6008921,0.60251117,0.58943945,0.57250005,0.55848897,0.5437064,0.51806796,0.47788617,0.43041325,0.3885218,0.3609586,0.34753177,0.34077868,0.33322766,0.3255523,0.32723746,0.34775615,0.3818252,0.40863433,0.4052054,0.36819124,0.31920287,0.2934536,0.31475523,0.38001013,0.45935833,0.51795954,0.53761274,0.5252818,0.5017721,0.48629084,0.48990932,0.51255584,0.5455243,0.57172245,0.5783998,0.5624556,0.5325183,0.49766925,0.46261814,0.42693868,0.38802734,0.344066,0.29558262,0.24890538,0.21248047,0.19259267,0.18862672,0.197218,0.21477616,0.23901765,0.2650818,0.28704366,0.29892,0.29904783,0.29132318,0.28911132,0.30886796,0.35898218,0.42626694,0.48480856,0.5142136,0.51694727,0.5116542,0.5182356,0.5449689,0.5863909,0.6279816,0.6523413,0.64907336,0.61803764,0.5682507,0.50883216,0.4452714,0.37986317,0.31572658,0.25769916,0.20918256,0.17079413,0.14026982,0.11709734,0.10349926,0.10500016,0.12429318,0.1583041,0.19625658,0.22736235,0.24562173,0.25322333,0.25519636,0.2566019,0.2602611,0.26775947,0.2787471,0.29050216,0.29838178,0.29744837,0.28510156,0.26369575,0.24213131,0.2320993,0.24081402,0.26464212,0.29241738,0.31346878,0.3247328,0.32898745,0.33060154,0.3318645,0.33332744,0.33430147,0.33414426,0.33286926,0.33209708,0.33366644,0.33782914,0.34160972,0.340081,0.3297111,0.31098664,0.2883197,0.26677874,0.2500932,0.2412607,0.24333943,0.25809857,0.28178573,0.3060781,0.32202184,0.32670018,0.32299688,0.31664738,0.3116722,0.3097378,0.31037855,0.31155536,0.3098832,0.30271065,0.29076788,0.2791095,0.27403814,0.27869514,0.29070356,0.3038331,0.31195346,0.31202254,0.30477998,0.2924831,0.27758956,0.2629893,0.25424019,0.25667918,0.27066284,0.28695032,0.2935712,0.2824795,0.2567803,0.22557575,0.20318037,0.20152958,0.2269079,0.27150297,0.317991,0.34917167,0.3587924,0.35113287,0.3339442,0.31499994,0.30065784,0.2965217,0.30217147,0.312289,0.31882706,0.31820697,0.31098345,0.30100223,0.29146352,0.28455868,0.28040513,0.2784463,0.2773926,0.27598283,0.27169108,0.26287726,0.2500059,0.23694074,0.22687106,0.2203133,0.21581095,0.21317816,0.2141291,0.21928096,0.22854815,0.24105097,0.2569019,0.27302718,0.28434956,0.28477493,0.27220201,0.24795651,0.21714233,0.18658338,0.16325994,0.15026559,0.14583266,0.1455694,0.14645982,0.14777869,0.15031636,0.15626223,0.1685502,0.18815686,0.21033959,0.22676341,0.23136938,0.22572036,0.21692908,0.21290977,0.21755695,0.2301662,0.24581277,0.25901744,0.26664248,0.27013025,0.27292636,0.277252,0.28266144,0.28784716,0.29311082,0.29947826,0.3058951,0.30657688,0.2944812,0.26784047,0.23504569,0.20926273,0.19872785,0.20066999,0.20746996,0.21500777,0.2253862,0.24071927,0.2591572,0.2774427,0.2946538,0.31211457,0.32768938,0.33773366,0.3386824,0.33260146,0.3207166,0.3038386,0.2801696,0.25204793,0.22445272,0.20456988,0.19733399,0.20331655,0.21824776,0.23566611,0.2530767,0.27173302,0.29347014,0.31419015,0.32846066,0.33355284,0.3337009,0.33362618,0.33627334,0.34119317,0.34804484,0.35572967,0.36219367,0.36418948,0.35948673,0.3485509,0.33518898,0.32568607,0.32507706,0.33337653,0.34416547,0.34959182,0.3452302,0.33245453,0.31536636,0.29941788,0.2895353,0.28900388,0.29666924,0.30814102,0.31904516,0.32767728,0.334615,0.3410586,0.3491442,0.35922062,0.3684642,0.36923805,0.35658193,0.3319739,0.3068473,0.29537904,0.3101385,0.35103822,0.40426818,0.44420543,0.45147714,0.4218886,0.371123,0.3231442,0.30337656,0.3236221,0.37523794,0.42591932,0.44228426,0.41051617,0.3483046,0.28892598,0.2632428,0.28463724,0.34455582,0.41568503,0.4651953,0.4750327,0.45032367,0.4131616,0.385908,0.38389835,0.40911523,0.44988775,0.48002174,0.47692832,0.43475166,0.37207118,0.31594884,0.29124323,0.3085461,0.36157867,0.42450425,0.4652556,0.46406674,0.42527482,0.37068892,0.32553756,0.31117448,0.33587337,0.3908577,0.44576296,0.47152832,0.45529473,0.41296995,0.37017345,0.35247454,0.3705264,0.4191763,0.47455493,0.5082135,0.50384945,0.46765998,0.4209245,0.38682196,0.38217738,0.40983924,0.4555675,0.4902614,0.49111453,0.4562333,0.40741882,0.3721136,0.37082586,0.40811595,0.47117963,0.5320729,0.56235194,0.55121106,0.5108911,0.4659468,0.4360522,0.43018568,0.4438442,0.46354738,0.47023824,0.4535096,0.41693392,0.37631762,0.34486747,0.32573542,0.3115653,0.29208788,0.2603061,0.21652512,0.16787928,0.124868274,0.09754574,0.094814956,0.12439147,0.18849935,0.27796677,0.3706139,0.44150063,0.47433332,0.46928784,0.43821582,0.39766455,0.3605636,0.333786,0.31877342,0.3138218,0.31601372,0.32116124,0.32551286,0.32845494,0.33265102,0.3420848,0.3552951,0.3668349,0.36987135,0.3644962,0.35620606,0.35150006,0.3515946,0.3531197,0.35335693,0.35290244,0.35489988,0.3604978,0.3698322,0.38343525,0.40642896,0.44272122,0.49025193,0.53545713,0.56249267,0.5641751,0.54733205,0.5275862,0.5174029,0.5253199,0.54935855,0.5811109,0.6015896,0.59851724,0.57066256,0.533302,0.50182134,0.48580584,0.48308086,0.48534194,0.48028174,0.45966837,0.4230167,0.37972048,0.3407277,0.31269908,0.29470956,0.28354612,0.27689716,0.2743164,0.2743245,0.27452254,0.2746171,0.280599,0.30430984,0.3551356,0.42948303,0.5066553,0.5604737,0.5756633,0.55753064,0.5256435,0.5015223,0.49871263,0.516661,0.54271525,0.5579074,0.5518143,0.52626187,0.4936343,0.46548867,0.44953096,0.44733593,0.45379317,0.4575999,0.44743097,0.42137602,0.38736686,0.35681796,0.33505324,0.3221155,0.31524506,0.31331515,0.31418145,0.31541982,0.31431165,0.31293878,0.31891036,0.3454512,0.40024117,0.47748598,0.55312395,0.6021356,0.6126767,0.59456056,0.5663669,0.5452376,0.5409371,0.5537053,0.5744877,0.5857263,0.575513,0.54295355,0.5011544,0.46549687,0.44926116,0.45584115,0.47802758,0.50053364,0.5142024,0.52319926,0.53884023,0.562531,0.5838638,0.59144264,0.5844961,0.5697027,0.55513555,0.5490973,0.55701226,0.57734925,0.5970587,0.60668796,0.6069739,0.60990715,0.6187652,0.625483,0.6153053,0.5821598,0.53109115,0.474125,0.4229755,0.38428745,0.3597108,0.34673774,0.34157157,0.34034517,0.34060135,0.3427166,0.3486713,0.36026123,0.37476575,0.3866079,0.39043465,0.38644668,0.37981227,0.37609658,0.37655592,0.37806615,0.3776468,0.37618104,0.37614107,0.378695,0.38132378,0.3831558,0.3877119,0.40404508,0.43831825,0.48690143,0.53354603,0.5610257,0.5621093,0.54591924,0.5288453,0.525913,0.54171735,0.57001036,0.5953203,0.6040027,0.59123844,0.564938,0.536253,0.5145423,0.5021658,0.49649408,0.49023786,0.4750298,0.4477719,0.41199362,0.376372,0.34609905,0.3220235,0.3019385,0.28565693,0.2751236,0.27119085,0.27201426,0.27410415,0.27906692,0.29556167,0.33674455,0.40552267,0.48833895,0.55741316,0.59357363,0.59598345,0.5833011,0.57490236,0.58318084,0.6067884,0.63467366,0.64931875,0.63856083,0.6033787,0.5577243,0.5180399,0.49401483,0.48634312,0.4879004,0.4876008,0.474268,0.44505462,0.4060034,0.36884272,0.34059116,0.32278726,0.3126569,0.3086466,0.30901563,0.3113807,0.31213617,0.3102392,0.3108542,0.32545304,0.36659566,0.4350381,0.5151494,0.5785641,0.60547256,0.59377867,0.56135184,0.5299584,0.51807636,0.53149945,0.5639294,0.5978637,0.6170213,0.61549455,0.600691,0.584649,0.5758834,0.5744627,0.57305455,0.5631363,0.54447323,0.53082514,0.53701144,0.5648427,0.5945777,0.60761195,0.597745,0.5784244,0.5622973,0.559679,0.5715051,0.59489787,0.6181457,0.6313195,0.6318992,0.62704486,0.6230468,0.62071776,0.61892563,0.61621517,0.6107233,0.59669185,0.5733813,0.5458109,0.5240991,0.5125583,0.51036763,0.51271766,0.51666594,0.51984304,0.5229065,0.52585846,0.5284968,0.5262806,0.5169761,0.5028149,0.49175823,0.48912385,0.49306402,0.4976442,0.49891397,0.4985697,0.4986521,0.49919856,0.49777102,0.49519336,0.4962044,0.50897247,0.5370514,0.5756956,0.61058694,0.63009024,0.63289624,0.6270756,0.61787575,0.6022776,0.5769821,0.5445459,0.51318043,0.48716006,0.46687317,0.4518009,0.44439697,0.44772628,0.4623476,0.4839313,0.50483817,0.5158801,0.51454544,0.5043996,0.49521896,0.4911281,0.49192938,0.49250785,0.49145997,0.48888764,0.4867514,0.48605573,0.48805162,0.49396673,0.50439733,0.5204436,0.5414967,0.5649457,0.5842808,0.5961091,0.6020534,0.6065686,0.60839564,0.60108167,0.58125544,0.553742,0.52779895,0.5083478,0.49516356,0.48633137,0.48275068,0.48591626,0.49568143,0.5066585,0.51185423,0.50539905,0.4891013,0.46963823,0.45535156,0.44920433,0.44971856,0.4531788,0.45767942,0.46308818,0.46996498,0.47727385,0.48174062,0.4807122,0.47679913,0.48135528,0.5045828,0.54672223,0.59147453,0.6235118,0.6359039,0.6343903,0.62087005,0.5952477,0.5577069,0.5173691,0.48600182,0.47381273,0.48620996,0.51912117,0.5592842,0.585704,0.5890586,0.57165384,0.5467519,0.51830727,0.4872757,0.45293486,0.4227024,0.40231144,0.3933395,0.39100417,0.39071628,0.39018127,0.39031705,0.39260152,0.39812776,0.40817443,0.42595088,0.4571041,0.50147843,0.5504374,0.5866783,0.6025829,0.6017697,0.59647334,0.58791906,0.5705934,0.5399336,0.5039301,0.47474346,0.45946193,0.45616445,0.45984396,0.46792683,0.48007008,0.49580276,0.5121041,0.5262465,0.5365707,0.54425263,0.5481238,0.5452783,0.5309651,0.5061658,0.47697973,0.45268145,0.43752685,0.42965123,0.42365286,0.41715088,0.41453192,0.42487797,0.4563767,0.5056131,0.5576758,0.59201217,0.60206205,0.59462744,0.58364064,0.5710036,0.55303603,0.52706844,0.5011249,0.4855651,0.48845902,0.5110612,0.54752105,0.58456063,0.6074725,0.6095988,0.5944142,0.57141143,0.5481625,0.53359157,0.53310585,0.5483512,0.5679744,0.5810251,0.5803383,0.57145196,0.55992144,0.55254936,0.5517363,0.55873173,0.56826377,0.5737241,0.5724878,0.56803626,0.5647216,0.56195974,0.5591478,0.55626625,0.5559992,0.5568641,0.55958885,0.56444025,0.57325786,0.5815905,0.58554953,0.58346605,0.57782704,0.568842,0.55574197,0.5412763,0.5311822,0.52917224,0.53178126,0.5351255,0.53685665,0.53894097,0.5412794,0.5463352,0.5544649,0.5653982,0.5723044,0.57181185,0.5660463,0.56301975,0.5661495,0.5728821,0.57846147,0.5795987,0.57428837,0.56161374,0.5456783,0.53279215,0.5272748,0.5258654,0.5267892,0.529064,0.5349357,0.53965384,0.54214364,0.54271203,0.5470769,0.5530564,0.55727476,0.5557458,0.5503822,0.5420006,0.53243333,0.5251853,0.5242996,0.52979,0.5363906,0.5432251,0.552479,0.5669456,0.5800667,0.5860849,0.5830385,0.5768568,0.5703695,0.56590074,0.56536984,0.5730855,0.58718634,0.59978086,0.60237926,0.59432787,0.5821499,0.57334703,0.5731466,0.58153945,0.59433126,0.60160583,0.59602404,0.5763771,0.5508725,0.5285334,0.51529837,0.5114798,0.51577526,0.5262831,0.5403897,0.55360085,0.561225,0.56159115,0.557239,0.55289024,0.5507584,0.5487728,0.5400265,0.5162736,0.47215554,0.4126217,0.35586444,0.32833555,0.34797263,0.41030738,0.48688093,0.54567456,0.56985223,0.56633586,0.5520788,0.54289645,0.5451279,0.558101,0.5744123,0.58520347,0.58475584,0.57423383,0.5586489,0.54213345,0.526334,0.5096256,0.4887476,0.45761964,0.4129274,0.35566923,0.29470438,0.2418481,0.21021044,0.2096932,0.24482901,0.31024578,0.39042354,0.46503678,0.5186563,0.5481083,0.5615867,0.5722217,0.58715993,0.6043099,0.6138404,0.61022943,0.5942059,0.5724505,0.5487662,0.5285497,0.5179358,0.52291226,0.5381425,0.54995257,0.5458084,0.5263149,0.5020509,0.483115,0.47025564,0.45574108,0.43029448,0.39025927,0.33967793,0.28718325,0.24069005,0.2048931,0.18223202,0.17524515,0.18495572,0.20735352,0.2297033,0.23599772,0.21585095,0.17411114,0.12836608,0.09988872,0.100785166,0.12924077,0.17150848,0.21139443,0.23733728,0.24568988,0.23703428,0.21478647,0.18530566,0.15916874,0.14600319,0.14783384,0.15702711,0.16231114,0.15729403,0.14352995,0.12832588,0.11915115,0.120244004,0.13089268,0.14697991,0.1627286,0.17266698,0.17224304,0.16022728,0.13995631,0.119368345,0.105369896,0.10003713,0.09897918,0.09702113,0.09559027,0.10793966,0.15517974,0.24757223,0.37079445,0.48618758,0.5598042,0.5817018,0.5704499,0.5512267,0.5436221,0.55513006,0.58427334,0.6205456,0.6500384,0.66395664,0.66377234,0.658136,0.6546135,0.6557779,0.6579459,0.6551834,0.64277977,0.62287116,0.6028503,0.591515,0.59251255,0.60508686,0.6237207,0.6414875,0.64972717,0.6457502,0.6332362,0.6223064,0.61996764,0.6283925,0.64461964,0.6630731,0.6766777,0.6780296,0.66561514,0.6432164,0.6195901,0.6008244,0.5920029,0.5933903,0.6024006,0.6103859,0.609782,0.59624314,0.5721942,0.54315543,0.51892036,0.5093894,0.51898414,0.53894883,0.5531791,0.5501907,0.5323537,0.51170033,0.5001425,0.50561076,0.5279789,0.5613312,0.5905351,0.60379344,0.5964325,0.5789148,0.56522864,0.5673847,0.58486754,0.6068978,0.6170449,0.6051688,0.57345897,0.5340163,0.5006528,0.4826965,0.48483244,0.5052758,0.53513724,0.5591388,0.56601566,0.55431414,0.5338293,0.5166741,0.513248,0.52708584,0.5532861,0.57813925,0.5869897,0.5746581,0.5476256,0.5195551,0.50231785,0.5044887,0.5251591,0.5546848,0.5753448,0.57691103,0.56110746,0.54147434,0.5290176,0.52847356,0.53577566,0.5438247,0.5449829,0.53905195,0.53250474,0.5333836,0.54107064,0.54857254,0.5509289,0.54972595,0.5495934,0.5518586,0.5579342,0.5674875,0.57847476,0.582402,0.57538277,0.5608955,0.54987144,0.5457035,0.5442641,0.5370571,0.5217833,0.50049347,0.4782538,0.45896152,0.44496116,0.43466783,0.42243037,0.40070954,0.36398554,0.31602404,0.27198946,0.25813732,0.29293123,0.37526533,0.47610447,0.56180555,0.6099157,0.62253207,0.6123006,0.594251,0.5773053,0.5672223,0.5658238,0.571945,0.58131534,0.58925337,0.5929165,0.59317964,0.59369826,0.5986567,0.60974437,0.62526137,0.6410008,0.6519804,0.6541831,0.64589685,0.6296293,0.61144763,0.598346,0.59375733,0.59684086,0.6040724,0.6119931,0.6186945,0.624692,0.6340527,0.64938104,0.66855764,0.68199635,0.6826949,0.6699259,0.65052986,0.62953407,0.6096018,0.5918646,0.57885087,0.57084376,0.56385756,0.5526925,0.5354867,0.5179859,0.5079461,0.5134916,0.533598,0.562463,0.58690995,0.59902555,0.59441787,0.57703906,0.55121493,0.52364606,0.5006405,0.48854676,0.4895365,0.5001946,0.5146799,0.52786535,0.5399081,0.552613,0.571076,0.5949195,0.6201275,0.63412964,0.62989044,0.60812646,0.5810364,0.55850226,0.54408693,0.53444284,0.5264809,0.5194543,0.5143988,0.5126404,0.51517683,0.5222356,0.53294164,0.5458924,0.5594874,0.57232434,0.5828356,0.5900497,0.59270805,0.58950216,0.579323,0.56377715,0.54696184,0.53421116,0.529357,0.53451633,0.5479225,0.5627897,0.5701501,0.56719136,0.56387454,0.57274216,0.5974726,0.6241637,0.6384787,0.63326573,0.61518526,0.59068114,0.5667297,0.54751295,0.53890663,0.54288393,0.5583345,0.5795259,0.59906745,0.60875183,0.6054068,0.59239054,0.5771916,0.56404185,0.5522018,0.5397175,0.52692896,0.5162944,0.5089427,0.50512093,0.5042577,0.50643724,0.5102319,0.5137792,0.5148656,0.51416737,0.51485735,0.52313286,0.54331297,0.5740519,0.6056761,0.62641865,0.63156027,0.6265599,0.6217525,0.6224656,0.62778157,0.6334138,0.63710207,0.6383856,0.6372312,0.6332228,0.62669927,0.61987704,0.6163997,0.6182468,0.62441367,0.6297733,0.62993574,0.6231084,0.6135335,0.6070755,0.60861355,0.6172587,0.6288876,0.639208,0.64764553,0.65549904,0.6625559,0.66661745,0.6666353,0.6662886,0.6702962,0.678957,0.68460387,0.67768306,0.6538112,0.6179378,0.5793839,0.54736507,0.527024,0.5212676,0.52886415,0.5445321,0.5587191,0.5625588,0.5536471,0.5367026,0.5217933,0.5144891,0.5143401,0.51335436,0.5067065,0.4942725,0.4820536,0.4739851,0.4720621,0.47489998,0.48138785,0.48858634,0.49476564,0.4993504,0.5043933,0.5117569,0.52213913,0.5365713,0.5543644,0.57285804,0.5848697,0.5872374,0.5825363,0.5779731,0.57631046,0.5756833,0.5758934,0.58014405,0.5913264,0.6041582,0.61099666,0.60633755,0.5932861,0.57772666,0.5678567,0.5669181,0.57300663,0.57718235,0.57444733,0.5683673,0.5688763,0.58078414,0.5993927,0.6165648,0.6252733,0.62319905,0.610564,0.5949572,0.5853636,0.5879121,0.5978189,0.60836047,0.615025,0.6192382,0.62046033,0.6170141,0.6073026,0.5926568,0.5739673,0.5509965,0.5249422,0.4996641,0.47733423,0.45234334,0.4145784,0.35925958,0.29543298,0.24072807,0.21032757,0.20638387,0.21962188,0.23594563,0.24796845,0.25821218,0.27577463,0.3048996,0.33982483,0.3688736,0.3846549,0.38985184,0.39415804,0.40695632,0.4306281,0.46117982,0.49275145,0.52532524,0.56057906,0.597547,0.6248886,0.63234466,0.6173849,0.5914882,0.5683007,0.55627066,0.5547984,0.55940515,0.56634474,0.57372195,0.5812703,0.5887296,0.5969566,0.6068736,0.619851,0.6342444,0.6468663,0.65274066,0.6508228,0.642282,0.63122094,0.6196531,0.6092275,0.60056704,0.59541273,0.59570074,0.6027579,0.6157641,0.6299653,0.63976425,0.6420053,0.6403778,0.6390055,0.63814,0.6309208,0.6130628,0.58711976,0.5624123,0.54610854,0.5392804,0.5378882,0.53721195,0.5348306,0.531025,0.5278775,0.5278957,0.53304434,0.54396915,0.5591712,0.57389957,0.58175635,0.57800025,0.564037,0.5465414,0.5330882,0.526525,0.5242683,0.521744,0.5162401,0.50821453,0.49959168,0.4922504,0.48755884,0.48774692,0.49638617,0.5173995,0.549603,0.5847375,0.6084955,0.6117509,0.59489024,0.56883556,0.54405373,0.52640265,0.5145908,0.50567436,0.4974439,0.4908146,0.48808423,0.4916003,0.50168633,0.5175831,0.5369205,0.5570696,0.57379967,0.58445185,0.5876806,0.58541423,0.5794073,0.5716767,0.56270367,0.5528578,0.5422838,0.53364843,0.5325009,0.5437506,0.5657782,0.5899851,0.6081586,0.6188505,0.62514234,0.6280237,0.62466407,0.61409974,0.59952855,0.5857344,0.57386744,0.56286985,0.5523999,0.544828,0.5434963,0.5508682,0.56674874,0.58696723,0.60438794,0.61323804,0.61223656,0.6045819,0.59330016,0.58115,0.5697117,0.5614813,0.55622834,0.5524358,0.5474494,0.5413161,0.535448,0.5319991,0.53155774,0.5335567,0.53703487,0.5425716,0.5536286,0.5736261,0.60151213,0.62789303,0.64125437,0.63592416,0.61766034,0.59722567,0.58325076,0.5777588,0.57906586,0.58394736,0.5895067,0.5939502,0.59737223,0.60171,0.6079252,0.6160175,0.6229825,0.6263652,0.6234597,0.6161034,0.6076724,0.6029586,0.60286784,0.60605526,0.6095801,0.61201435,0.6129003,0.6129326,0.61310035,0.6144357,0.617438,0.6215899,0.6267314,0.6320824,0.6365916,0.6368701,0.63049793,0.6175799,0.6021287,0.58836514,0.57817686,0.5710406,0.5655532,0.5603316,0.55360097,0.54438215,0.5338998,0.5260281,0.5250177,0.5330143,0.5472742,0.5611427,0.566346,0.56017214,0.5467377,0.5353499,0.5320022,0.53674585,0.5447921,0.55160403,0.5552477,0.5553791,0.55185,0.54442334,0.5351701,0.52957046,0.5347373,0.5532686,0.5797151,0.60247236,0.6136959,0.6136384,0.6088571,0.6034446,0.5983737,0.5941806,0.5925682,0.5938132,0.59463185,0.5943863,0.5940469,0.5969772,0.6005711,0.60435134,0.60679823,0.6104756,0.61254734,0.61282545,0.6108963,0.61028856,0.61026293,0.6098578,0.6076402,0.6039621,0.59728485,0.58653456,0.5747314,0.56778926,0.56958073,0.5772236,0.58746624,0.59801745,0.6088546,0.61507124,0.6119498,0.5977531,0.578227,0.56035376,0.54863024,0.54284424,0.54038054,0.5377138,0.5317733,0.5209219,0.5065242,0.49281862,0.4857366,0.489081,0.502052,0.51819605,0.529675,0.53210074,0.52836305,0.52510446,0.52698475,0.5313358,0.5307462,0.51888996,0.49678132,0.47240207,0.45523164,0.44805,0.44446006,0.43396798,0.41345653,0.38979027,0.37466738,0.37090144,0.37231192,0.3685013,0.3564616,0.3397729,0.32565856,0.31844363,0.3182783,0.32138363,0.3232531,0.321232,0.3155158,0.30672362,0.29538974,0.28271708,0.2718651,0.2653152,0.26120016,0.25414646,0.2388378,0.21482114,0.1858731,0.15894641,0.14073358,0.13526516,0.14082514,0.15091646,0.15773328,0.15658094,0.14800166,0.13822281,0.13844186,0.15761538,0.19541176,0.23692887,0.26381102,0.26463732,0.2435249,0.21249758,0.18470283,0.1677032,0.16319771,0.1674218,0.17331977,0.1745174,0.16801499,0.1556076,0.14209571,0.13335504,0.13275571,0.13906635,0.14635044,0.1482007,0.14184536,0.12957627,0.11637104,0.10719374,0.1060746,0.11486217,0.13156854,0.148812,0.15739441,0.15221165,0.13679984,0.121136345,0.11494549,0.12133086,0.13532741,0.14801443,0.15275674,0.14859615,0.13965106,0.13197911,0.13221727,0.14570864,0.17371379,0.2098582,0.24143298,0.2560366,0.24880697,0.22517975,0.19742763,0.17832555,0.17431891,0.18259381,0.19390266,0.1997226,0.19718671,0.18897535,0.17966437,0.1738993,0.17440711,0.18061276,0.18645327,0.18453026,0.17126971,0.15109535,0.13266058,0.12432418,0.13112563,0.15346505,0.1864001,0.21923701,0.2421745,0.25116107,0.25047192,0.24608539,0.24150126,0.23599462,0.22758596,0.21497335,0.19798104,0.17792033,0.15702043,0.13910556,0.12800659,0.12747045,0.1376505,0.1545171,0.16878618,0.17227966,0.16184527,0.14302447,0.124819316,0.116365165,0.12160834,0.13912062,0.16043667,0.17438875,0.17194533,0.15258832,0.12470073,0.10252269,0.09888667,0.11825343,0.15277858,0.18672466,0.20600717,0.2062426,0.19273727,0.17523752,0.16298737,0.16147669,0.17066847,0.18386261,0.19127469,0.18605702,0.16920304,0.14887784,0.13479784,0.1325704,0.14021426,0.15096863,0.15814666,0.16041137,0.16018356,0.16022094,0.15998602,0.15761799,0.15157844,0.1419578,0.12986316,0.11762438,0.10810161,0.10345808,0.104913354,0.11491921,0.13701157,0.17223537,0.21370713,0.2486577,0.26599923,0.26348612,0.24690767,0.22367264,0.19859123,0.17327458,0.14884795,0.1262088,0.10633094,0.089571536,0.076663315,0.068650454,0.066728495,0.07095783,0.07972401,0.08978469,0.097690076,0.10123075,0.10044258,0.09728386,0.0948551,0.09567678,0.10048175,0.10804158,0.11738769,0.12926023,0.14350574,0.15679236,0.16365486,0.16564965,0.17151141,0.19117816,0.22207308,0.25183806,0.26737583,0.2667912,0.25667623,0.24518655,0.2357273,0.22766985,0.21889788,0.20782234,0.19343354,0.17608763,0.15732752,0.14106816,0.13146065,0.1326102,0.14479919,0.1649424,0.18524607,0.19820392,0.19852345,0.18744327,0.17062314,0.15685795,0.15226291,0.15784688,0.16846211,0.1775778,0.18123353,0.18000226,0.17676242,0.17451584,0.17482658,0.17746568,0.18036635,0.18073685,0.17671764,0.16835283,0.15701704,0.14469846,0.1338621,0.1273336,0.12664671,0.1301762,0.13325685,0.13098456,0.12162307,0.10793736,0.09591603,0.09147033,0.09671462,0.108290456,0.11916981,0.12365836,0.12107254,0.115342356,0.111088514,0.1101621,0.11170579,0.11385953,0.11559648,0.11654108,0.11675007,0.11631172,0.11548864,0.11458635,0.11381825,0.11328566,0.11305859,0.113278955,0.11402749,0.11491785,0.11472994,0.11130524,0.10270537,0.08864081,0.07172173,0.056462634,0.04745333,0.047334004,0.05599752,0.07070523,0.08693241,0.10045216,0.10897077,0.11289225,0.11393564,0.11382592,0.11340389,0.112827115,0.11183939,0.11017221,0.10781598,0.10510742,0.10247546,0.10017126,0.09822031,0.09660926,0.095375754,0.09456805,0.09412065,0.093867786,0.09356383,0.092994206,0.09202951,0.09070641,0.089142226,0.087414116,0.085520804,0.08347133,0.08138838,0.0794155,0.07763744,0.076048076,0.07464715,0.073411316,0.07223562,0.070935145,0.06938388,0.06761237,0.06575393,0.063907996,0.06207089,0.06012367,0.057865918,0.054978255,0.051126298,0.046069935,0.03993992,0.033207014,0.026567372,0.020554727,0.015472359,0.011379876,0.008270423,0.0060509923,0.004565672,0.0036045478,0.0029730825,0.00252489,0.0021542904,0.0018145568,0.001502942,0.0012510385,0.0010682229,0.00093910494,0.00083250646,0.0007328331,0.0006390161,0.00055629987,0.0004864837,0.00042853516,0.0003811057,0.0003437286,0.0003152473,0.00029341728,0.00027440215,0.00025502229,0.00023276797,0.00020715922,0.00017897213,0.00015115134,0.00012693272,0.00010878589,9.658238E-05,8.866417E-05,8.2730956E-05,7.719608E-05,7.105799E-05,6.400087E-05,5.6226785E-05,4.8345664E-05,4.1010655E-05,3.447574E-05,2.8734323E-05,2.3652283E-05,1.9301486E-05,1.5727954E-05,1.2937319E-05,1.0788704E-05,9.164677E-06,7.966967E-06,7.1120944E-06,6.4654037E-06,5.845761E-06,5.0949834E-06,4.2080405E-06,3.3975493E-06,2.9948037E-06]