[0.0001486894,0.0002115782,0.0009893547,0.004199345,0.012615076,0.027944466,0.04888163,0.07116818,0.09207503,0.1141605,0.14380898,0.18449509,0.23182952,0.27653039,0.31155995,0.33650157,0.35484347,0.3692427,0.37982407,0.38616535,0.38914987,0.3906364,0.39217582,0.39457688,0.3970908,0.39729738,0.39154756,0.37911525,0.36317942,0.34958825,0.3408493,0.33623207,0.33325955,0.33205178,0.33340764,0.33812034,0.34500888,0.3528304,0.35925606,0.3624287,0.3606046,0.3554584,0.35000125,0.34774026,0.34891963,0.3525767,0.35784113,0.3643726,0.3711935,0.3757149,0.37733755,0.3775684,0.38037184,0.38722157,0.39678332,0.40441978,0.40664005,0.40283093,0.3960332,0.39007983,0.38705805,0.38682616,0.38722885,0.3862401,0.38247356,0.37710848,0.3722323,0.3701115,0.3704338,0.3715035,0.37016806,0.3646048,0.354437,0.3424834,0.33290076,0.329604,0.33342126,0.34218907,0.3525714,0.362352,0.3709139,0.3777677,0.38132417,0.37981203,0.373163,0.36476615,0.35925663,0.35973808,0.3643124,0.3692185,0.3713472,0.3731551,0.37796614,0.3896248,0.40628496,0.42484796,0.43877542,0.4444345,0.44002262,0.4288573,0.41535878,0.40354654,0.3943449,0.38743338,0.38225654,0.37955534,0.3792194,0.38063374,0.38122144,0.37939516,0.3740977,0.36763492,0.36335802,0.36518016,0.37293828,0.38301623,0.38905904,0.38778612,0.37992778,0.3708348,0.3649632,0.36451802,0.3673515,0.37036204,0.37027952,0.36668554,0.36155167,0.3593596,0.3627503,0.37088552,0.3778969,0.37872842,0.37155762,0.36076924,0.3511339,0.34587803,0.34357294,0.34214523,0.33861196,0.33169675,0.3204659,0.30754113,0.2968382,0.29296115,0.29654256,0.3053511,0.31425902,0.31899646,0.316738,0.30884227,0.299468,0.29423174,0.29549575,0.30166528,0.30825135,0.31228495,0.3135248,0.31380683,0.31495684,0.31777096,0.3226337,0.32903567,0.33689472,0.3454592,0.3540882,0.36020777,0.36113644,0.3550266,0.34412733,0.33281896,0.3258598,0.32415175,0.32599795,0.32782853,0.32793167,0.32568553,0.32216135,0.31751156,0.31214854,0.30551675,0.2982866,0.29114142,0.28619877,0.28530443,0.28956735,0.29711893,0.30332175,0.30345908,0.29633674,0.28530237,0.27522245,0.26895532,0.2666084,0.26647747,0.2668751,0.266441,0.26543388,0.2649823,0.26585618,0.2667254,0.2648957,0.25893906,0.24980545,0.24014251,0.23143585,0.22367442,0.21623473,0.20958026,0.20510508,0.20361252,0.20498742,0.20795716,0.21158272,0.21533342,0.21982263,0.22589827,0.23345308,0.24090244,0.24619792,0.24901576,0.25078785,0.25306895,0.25573555,0.2575477,0.25742868,0.2548466,0.24857314,0.23759687,0.22331692,0.21215,0.21206094,0.22763427,0.25621888,0.29165268,0.32849923,0.36284795,0.39042127,0.40587136,0.40841758,0.4020903,0.39459345,0.38933054,0.3862822,0.38313222,0.3802707,0.37885952,0.3792918,0.3793547,0.37663123,0.37095323,0.36492214,0.3619492,0.36319223,0.3671758,0.37100545,0.37306556,0.37379694,0.37482274,0.37695968,0.37895706,0.37849927,0.37470677,0.3699206,0.36840203,0.3724467,0.38005623,0.38612306,0.38644776,0.38028684,0.37022015,0.36037326,0.3546809,0.3555415,0.36202538,0.3695571,0.37235555,0.36788288,0.35918152,0.35186633,0.34986368,0.35222661,0.35572878,0.35622013,0.3522233,0.3442199,0.33690384,0.33519402,0.34267652,0.35691786,0.37197626,0.38085577,0.38043895,0.37271246,0.36311725,0.3571727,0.35646617,0.3586788,0.3591421,0.35483292,0.34582925,0.33499494,0.3256545,0.31992486,0.31814024,0.31889307,0.31959805,0.31814504,0.31461596,0.3121775,0.3142958,0.3233395,0.33793017,0.3557148,0.37212455,0.38372028,0.3868879,0.38188767,0.37177587,0.36224365,0.35742605,0.35822284,0.36261657,0.36814222,0.37423554,0.38257512,0.39471886,0.4090891,0.42064822,0.4249098,0.42209384,0.4162883,0.4109958,0.40606257,0.39951757,0.390239,0.37837064,0.36476362,0.35049477,0.33829322,0.3302977,0.3279471,0.32952467,0.33288482,0.33516452,0.3354155,0.33441257,0.33439445,0.33719108,0.3421835,0.34750417,0.35118136,0.35289943,0.3531904,0.3526734,0.35191914,0.35070205,0.34887716,0.34589496,0.34307453,0.34199026,0.34422955,0.34851745,0.3529071,0.35550633,0.35673487,0.35698017,0.35656524,0.35442242,0.3502045,0.3435116,0.33475733,0.3248044,0.31602046,0.3127168,0.31824496,0.33328786,0.35266814,0.37002194,0.37977734,0.38263384,0.38221812,0.3838372,0.38837132,0.39375415,0.3963163,0.395728,0.39468956,0.3968298,0.40433595,0.41635013,0.43023884,0.44201875,0.44989896,0.45533773,0.46241,0.47302198,0.48341146,0.4857725,0.47463617,0.45254874,0.4288459,0.41290584,0.4072369,0.4072238,0.40568447,0.3994677,0.39091673,0.38496593,0.3836979,0.3838474,0.37999317,0.36885476,0.35247192,0.33601227,0.32489336,0.32240918,0.32924995,0.34422502,0.36442855,0.38614216,0.40541542,0.41935953,0.42690477,0.42899916,0.4274182,0.42401743,0.41971505,0.4157879,0.4131808,0.41250744,0.41271767,0.41227475,0.4109832,0.41006753,0.41108713,0.41351533,0.4152689,0.41422364,0.40989092,0.40397155,0.3990129,0.3972598,0.39924118,0.4028859,0.40424812,0.39928833,0.38845026,0.3780304,0.37748674,0.39150882,0.41486824,0.4350476,0.4410416,0.43183038,0.4172145,0.41216394,0.4263809,0.4573914,0.49011657,0.5075498,0.50185823,0.48045182,0.45869708,0.44986153,0.4562974,0.47024485,0.47941828,0.47583112,0.46101606,0.44436184,0.43528315,0.43457928,0.43432787,0.4252073,0.405874,0.38436952,0.37135386,0.3717986,0.38120404,0.38980976,0.3900036,0.38308874,0.38041398,0.39482832,0.4299575,0.47337213,0.50653446,0.51818776,0.512472,0.5007673,0.49153244,0.4860152,0.4821705,0.4786084,0.47512472,0.47230557,0.4709941,0.47221255,0.47597227,0.4803929,0.48265758,0.48036602,0.47391677,0.46571335,0.45912346,0.4551989,0.45305455,0.45083427,0.44867554,0.44763598,0.44774273,0.44575074,0.4364928,0.4170884,0.38946605,0.3609815,0.3392724,0.32877,0.3273588,0.32927895,0.3292171,0.3270268,0.3290273,0.34382463,0.37765145,0.4256322,0.47302678,0.49748513,0.48630092,0.44218028,0.38566074,0.3381687,0.31147036,0.30272877,0.3018007,0.30000982,0.2953858,0.29547885,0.31333774,0.35760987,0.42115727,0.48088637,0.5140193,0.51473147,0.49614036,0.47589076,0.4627615,0.45585862,0.45144227,0.4484196,0.44833663,0.45288065,0.46259904,0.47528398,0.48709646,0.49381527,0.49351814,0.48736227,0.47855446,0.47138762,0.46873662,0.4712442,0.47541294,0.4768527,0.4727418,0.4654248,0.4589087,0.4558985,0.45463276,0.45166206,0.44483924,0.4349241,0.42516375,0.41915977,0.41984642,0.42695677,0.43679035,0.4434178,0.4429808,0.43607345,0.42723438,0.42027915,0.41570207,0.41057718,0.40289357,0.39365885,0.38643673,0.38452816,0.38826057,0.39534855,0.40041718,0.39876437,0.3891718,0.37846932,0.37806967,0.3937275,0.41798523,0.43154582,0.4212208,0.38794497,0.34849873,0.31787255,0.30306008,0.2989988,0.2983187,0.2957518,0.2922325,0.29196635,0.29834202,0.3110206,0.32552084,0.3365872,0.3405629,0.337575,0.33061925,0.32298768,0.3164259,0.31034148,0.30462575,0.30044156,0.3001878,0.3044852,0.30936992,0.3075012,0.29148534,0.26145443,0.22494741,0.19389707,0.17510827,0.16838162,0.16840702,0.1707759,0.1737089,0.17847317,0.18955342,0.21605158,0.26480135,0.33179942,0.39390495,0.42288348,0.4023217,0.3437965,0.274677,0.22121495,0.19227366,0.18302971,0.18354839,0.18861477,0.20014508,0.22687034,0.27471906,0.3392067,0.3993875,0.43311927,0.42997038,0.40160426,0.36781272,0.34420714,0.33307973,0.32919052,0.32654342,0.32339606,0.32203615,0.32646763,0.33871043,0.35711524,0.37586686,0.3886495,0.39238894,0.39072275,0.39361766,0.41047642,0.4432414,0.48068163,0.506738,0.50998145,0.49398255,0.47333205,0.4640799,0.47232914,0.49061212,0.5051186,0.50592685,0.49464548,0.48255467,0.48225644,0.4996486,0.52793294,0.55260664,0.5592814,0.5449133,0.5189342,0.49634978,0.48649016,0.48534903,0.4805921,0.46097866,0.42703485,0.39003444,0.3644122,0.35738802,0.36380997,0.37059548,0.3674389,0.35699406,0.35531974,0.37646702,0.4191917,0.46139863,0.48146024,0.47270748,0.45080352,0.433713,0.43010578,0.4345548,0.43920958,0.44006392,0.43852368,0.4372369,0.4373794,0.43838635,0.43882084,0.43813992,0.43684077,0.4361901,0.4365054,0.43706477,0.43684056,0.4357257,0.4344671,0.43374208,0.4339137,0.43445984,0.43316182,0.425276,0.40634164,0.3774563,0.34705797,0.32620564,0.32008418,0.3263186,0.3384299,0.3513967,0.36190858,0.36821458,0.37142646,0.3775687,0.39537284,0.42843986,0.46784416,0.49396625,0.48849145,0.44887212,0.39000845,0.33406517,0.2963171,0.2806115,0.2830623,0.29747573,0.32120454,0.35511577,0.40430307,0.4649907,0.5240957,0.55864525,0.55902046,0.5306194,0.4936535,0.46182218,0.44044992,0.426532,0.41733697,0.41092876,0.40612316,0.40280807,0.401853,0.40443733,0.40998378,0.41606617,0.42039955,0.42235413,0.42342827,0.42494667,0.42738637,0.43020403,0.4329679,0.4359372,0.44006944,0.44718885,0.45726264,0.46758977,0.47227743,0.46792176,0.45562983,0.44151703,0.43082663,0.4251013,0.4215896,0.41660342,0.4085318,0.3985633,0.38981688,0.38494658,0.38502172,0.38867947,0.392876,0.39414582,0.3903911,0.38229454,0.37342378,0.36843392,0.3695786,0.37425068,0.37616888,0.37104523,0.36191568,0.36061296,0.3793706,0.42059186,0.46994936,0.50647926,0.51700777,0.5061901,0.48837566,0.47493792,0.4676973,0.46258065,0.4570109,0.45077872,0.44578707,0.4425881,0.44183663,0.44292846,0.4449376,0.4456279,0.44417238,0.44133386,0.43951643,0.43904087,0.43852115,0.43581855,0.4315579,0.4281589,0.42816904,0.43052745,0.4303695,0.41976753,0.3933908,0.35221624,0.30590338,0.26673207,0.24323672,0.23535179,0.23697414,0.24054456,0.24100822,0.2392265,0.24224055,0.26227668,0.30414116,0.35820973,0.39748955,0.39968252,0.3612717,0.30417678,0.2543776,0.22628404,0.21618192,0.21305639,0.2092895,0.2056147,0.21072416,0.23727064,0.29237297,0.36854157,0.441159,0.48541108,0.49250212,0.47618452,0.45625553,0.44495282,0.4411404,0.43955922,0.4362452,0.43208528,0.42918906,0.429353,0.4313695,0.43275073,0.4312122,0.4268262,0.4208578,0.41460362,0.40875193,0.40363744,0.39994273,0.39753747,0.39650455,0.3967297,0.39927483,0.4041157,0.40913513,0.4103236,0.40535644,0.39604607,0.3869066,0.38104597,0.37855232,0.37772462,0.3777527,0.3786348,0.38038054,0.38235724,0.38352713,0.3831998,0.38124582,0.3784219,0.37582347,0.37396428,0.37220928,0.36938474,0.3657727,0.36453652,0.3692073,0.37857714,0.38282785,0.37289932,0.35246444,0.3467846,0.38194096,0.46537673,0.57047707,0.6608267,0.707918,0.70801735,0.67110914,0.61784595,0.5698467,0.5444525,0.5435775,0.5552757,0.56321985,0.55897945,0.5439086,0.524842,0.5097794,0.5039935,0.5075485,0.51214266,0.50734335,0.48839352,0.4623858,0.44174686,0.43432125,0.4379003,0.4444249,0.44702598,0.44297025,0.43175292,0.41394356,0.39134946,0.3681018,0.34817815,0.33387396,0.3261707,0.32716903,0.33922145,0.36225268,0.392969,0.42916533,0.4707233,0.5164948,0.5577268,0.58139926,0.5767947,0.5428926,0.4862728,0.41977143,0.35976055,0.32296458,0.3162289,0.33080053,0.34992698,0.36595,0.3887235,0.4306142,0.4902189,0.54716426,0.58395725,0.5960443,0.5945451,0.5885306,0.58254075,0.57396835,0.559405,0.5340523,0.4964914,0.45183477,0.4134195,0.3960582,0.40684488,0.43900895,0.47634637,0.5039653,0.5179713,0.52475566,0.53168803,0.5382375,0.53525954,0.51503795,0.4793407,0.44215885,0.41818407,0.41504955,0.4270643,0.44314018,0.45122898,0.44570813,0.4270135,0.40174055,0.37799132,0.36155605,0.35353017,0.35152254,0.3516027,0.35110447,0.3485398,0.34462854,0.33988357,0.33510447,0.33011496,0.32548308,0.32202825,0.32118818,0.32384917,0.32992825,0.33824956,0.3479484,0.36265102,0.3903973,0.43883267,0.50229764,0.56118715,0.59147877,0.58525115,0.55361086,0.5180047,0.4926251,0.48086366,0.47888866,0.48209536,0.486061,0.48513815,0.47634053,0.46249545,0.45443156,0.46119604,0.48277283,0.5081639,0.5259412,0.5327966,0.5337036,0.53496784,0.5387222,0.5438721,0.549041,0.5539589,0.5584321,0.56108934,0.5596071,0.55225325,0.53862816,0.520721,0.50136936,0.48452333,0.47286978,0.46730173,0.4642973,0.4562041,0.43570927,0.40445063,0.3791673,0.38127196,0.41842803,0.47123814,0.5079289,0.5078442,0.47524288,0.42819616,0.38250056,0.34556517,0.31915927,0.30291918,0.2954537,0.29848078,0.32093254,0.3708051,0.44451728,0.51802474,0.56502205,0.57148963,0.5482498,0.5139379,0.48492143,0.4645741,0.4515115,0.4412391,0.43201482,0.42166224,0.41014633,0.39653072,0.382189,0.3687792,0.35882917,0.35214016,0.3464401,0.34029797,0.3352221,0.3347576,0.33949554,0.34668085,0.35198784,0.35428968,0.354647,0.35449612,0.35174653,0.3444059,0.33193326,0.31828564,0.30677712,0.2992642,0.29473343,0.2923843,0.29190245,0.29303965,0.29519832,0.29744592,0.29916623,0.2997731,0.29875037,0.29605117,0.2922709,0.2884449,0.28551325,0.28470078,0.28780392,0.29644528,0.3101083,0.32654822,0.34535098,0.3721213,0.41482922,0.47391057,0.5349546,0.57638735,0.58627033,0.57226914,0.55420846,0.54697126,0.5511918,0.5563074,0.5518265,0.5336754,0.50532424,0.474063,0.44882193,0.43828377,0.44697782,0.4720739,0.5022636,0.52563137,0.5357316,0.5355186,0.53155726,0.52829,0.52379245,0.51230943,0.4921349,0.47126678,0.46444127,0.47993103,0.5105765,0.5381949,0.54708004,0.53317755,0.5023909,0.46660876,0.43858325,0.42841205,0.43630025,0.45446947,0.47266173,0.48773727,0.5012464,0.5151178,0.5255904,0.52692986,0.514913,0.49219397,0.46665514,0.44917384,0.44762027,0.4636636,0.49164438,0.52272874,0.5517698,0.58104116,0.61518174,0.6516853,0.67755985,0.6798618,0.6580863,0.62645555,0.6022976,0.5946295,0.60196084,0.6173243,0.63282603,0.64057046,0.63404393,0.61216503,0.58242416,0.55817014,0.5490672,0.55388284,0.5618997,0.56209564,0.55072325,0.5317695,0.5124696,0.49879766,0.49261472,0.49252188,0.4947288,0.49701837,0.49751365,0.49562326,0.48951805,0.47909343,0.46558365,0.45244575,0.44288492,0.4388167,0.4395882,0.44230494,0.44354978,0.44147423,0.43643788,0.4293796,0.42080483,0.41110215,0.4014139,0.3925474,0.3833231,0.37153664,0.3564303,0.34077016,0.3284602,0.3217428,0.32058477,0.32607388,0.34459794,0.3847908,0.4487357,0.5210747,0.57439345,0.5860076,0.55730814,0.5103875,0.47080263,0.44888413,0.43978986,0.43285397,0.42125824,0.40443468,0.3872852,0.37818575,0.3844448,0.4074439,0.4405829,0.47341868,0.4975125,0.5103696,0.5145742,0.51513916,0.51588297,0.5178008,0.5194001,0.5191671,0.51774406,0.51646686,0.5156204,0.5126144,0.505485,0.49442315,0.48286948,0.4739406,0.46909642,0.46751812,0.46774778,0.46801713,0.46672764,0.46395233,0.4636161,0.47360936,0.49870816,0.534072,0.56284165,0.5681092,0.5430452,0.49813882,0.45299026,0.42655087,0.4248934,0.43908367,0.45214498,0.45301723,0.44585875,0.44518828,0.4615933,0.48960915,0.5113363,0.51156497,0.4903357,0.4601479,0.4333723,0.41360533,0.3981528,0.3845296,0.37362328,0.36746216,0.36724603,0.3716786,0.37847042,0.38437673,0.38784567,0.38828805,0.38649562,0.3826568,0.37659028,0.36806467,0.3573724,0.34585106,0.3362056,0.33211723,0.3369756,0.34985235,0.3654333,0.37509525,0.37418044,0.3637216,0.35011348,0.33900523,0.33260202,0.32959947,0.32744217,0.32490566,0.32393587,0.33152446,0.35812137,0.41012082,0.48142043,0.55052954,0.5925637,0.59308743,0.5566286,0.4992076,0.43903854,0.3889656,0.35514197,0.33634007,0.3286223,0.33304462,0.36160895,0.42562112,0.51939565,0.611867,0.66807586,0.6732989,0.6429672,0.60397005,0.5748066,0.5581396,0.5469889,0.53199786,0.50611246,0.4694978,0.43248096,0.4112116,0.41647854,0.4452535,0.48270035,0.5126762,0.52574855,0.5211236,0.5032787,0.4797431,0.45826688,0.44385174,0.43633318,0.43229747,0.42989767,0.43116984,0.43912414,0.45220223,0.46253157,0.45945406,0.43538246,0.3908563,0.33509323,0.28289822,0.2461298,0.22883815,0.228665,0.24616437,0.28790373,0.35848585,0.44624302,0.5217402,0.55419177,0.5336166,0.47588834,0.40843853,0.3517102,0.31467852,0.30029204,0.309087,0.33756766,0.37800476,0.42531893,0.47577396,0.5231454,0.55115825,0.5471585,0.5118632,0.4641806,0.42375275,0.39989695,0.38903677,0.3841039,0.3807193,0.3781965,0.37696698,0.3768003,0.37664616,0.37554935,0.37320185,0.36986986,0.36620343,0.36309168,0.36145613,0.3617287,0.36312363,0.36421064,0.36386737,0.36278462,0.36285678,0.36538848,0.36889005,0.37008283,0.3666639,0.36022794,0.35436556,0.3516474,0.35161856,0.3529683,0.3558496,0.36189875,0.3734313,0.39409018,0.42788434,0.47622958,0.53092843,0.5775316,0.60163236,0.60070974,0.58155733,0.5546136,0.523408,0.48572144,0.43869206,0.38689813,0.3418484,0.317137,0.32218876,0.359746,0.42255136,0.49314132,0.54814416,0.57208574,0.56389236,0.53497165,0.4972876,0.4593244,0.42657757,0.40309158,0.39021638,0.38580394,0.3888794,0.4002694,0.42140946,0.44830427,0.4736533,0.48984602,0.49333587,0.48269215,0.4581972,0.42296764,0.3843603,0.3510581,0.32851803,0.31837365,0.3220246,0.34164944,0.37597927,0.41561818,0.44650313,0.4591705,0.4547468,0.44202304,0.42959175,0.42151392,0.41756526,0.41598186,0.41589376,0.41987213,0.4343377,0.46597433,0.5125969,0.56066304,0.5892946,0.5861632,0.551804,0.49996158,0.4470136,0.4092171,0.39684144,0.40966347,0.43653253,0.4633058,0.48518595,0.50646544,0.53109294,0.5529845,0.55871534,0.5394656,0.49791571,0.4474376,0.4021947,0.37144756,0.35661373,0.35441896,0.35850978,0.36215103,0.35977495,0.3504797,0.33798465,0.3282027,0.32404426,0.3244314,0.32616606,0.32764018,0.32880467,0.32975504,0.32879564,0.3243573,0.3175269,0.31387362,0.32122645,0.3447106,0.38296735,0.42787635,0.46978036,0.5024333,0.5240988,0.5354766,0.53675634,0.53009415,0.5186532,0.5075422,0.49880576,0.49348462,0.4902344,0.4883388,0.48554003,0.48026478,0.47198734,0.46265748,0.45453295,0.44809747,0.44139168,0.43217495,0.4197342,0.4058785,0.3937495,0.38932884,0.401226,0.4369175,0.49279812,0.55025584,0.585361,0.5868241,0.56401235,0.53730327,0.521837,0.51945573,0.5229848,0.52355283,0.515275,0.49618495,0.4689825,0.4419597,0.42524984,0.4254808,0.4397061,0.45977864,0.47800136,0.4930376,0.50596863,0.5172062,0.5248806,0.52768517,0.5264632,0.52317566,0.5200704,0.517575,0.5151064,0.51115894,0.50599533,0.5012087,0.49781907,0.49441758,0.487784,0.47538504,0.45471928,0.42356095,0.38337648,0.3458787,0.33246168,0.35930666,0.42078254,0.48629013,0.5217845,0.5129578,0.47282252,0.42617798,0.39158693,0.37486282,0.37318078,0.38133585,0.39558315,0.41633558,0.44986582,0.4989234,0.55569106,0.5972879,0.6052913,0.5777044,0.53354174,0.49302068,0.46605173,0.44997367,0.4397532,0.4328102,0.4287044,0.42642236,0.42451784,0.42210189,0.4187177,0.41375878,0.40588608,0.3952761,0.38358974,0.37436676,0.36951676,0.36892617,0.36948517,0.36831284,0.36451554,0.361173,0.36182496,0.36711773,0.3720734,0.37095276,0.36114323,0.34612107,0.33101568,0.32008576,0.31436393,0.3134789,0.31619266,0.3215306,0.32836634,0.3356,0.34148207,0.344836,0.34519854,0.34399426,0.34272695,0.34274092,0.34419343,0.34724262,0.3522102,0.35924268,0.36762103,0.37610948,0.3870707,0.4078987,0.44776657,0.504621,0.5610587,0.5914189,0.58341354,0.5460429,0.50263774,0.47170448,0.45753038,0.45334506,0.44959143,0.44073036,0.42516497,0.40547606,0.3866522,0.37605062,0.3784066,0.39297926,0.4110459,0.42345405,0.425081,0.4194783,0.41256413,0.4083456,0.40394315,0.3924693,0.37050617,0.3454055,0.3354846,0.3554305,0.40403005,0.4600385,0.49823347,0.5019488,0.47157,0.41899535,0.3630762,0.32040307,0.29892793,0.2946897,0.29810095,0.30306363,0.31084597,0.3260896,0.3493085,0.3750708,0.39454445,0.40205142,0.39747167,0.3867197,0.3775108,0.37509742,0.37776646,0.37849537,0.37157333,0.36099613,0.35809192,0.37049684,0.3902916,0.39934745,0.3846936,0.3513173,0.31607237,0.29277775,0.28297696,0.2789525,0.2738631,0.26602057,0.25993133,0.25997543,0.26762292,0.2780712,0.28472075,0.2828906,0.27343228,0.2611182,0.25194994,0.2504396,0.25722376,0.2683408,0.27627638,0.27579162,0.26919535,0.26973343,0.29271916,0.34377813,0.40779105,0.4576584,0.47102627,0.44649744,0.40270135,0.36378682,0.34442434,0.34040114,0.3377688,0.32606277,0.31205842,0.3140291,0.3462658,0.4054906,0.47086644,0.5190998,0.53480196,0.5167758,0.47164094,0.41244593,0.35525477,0.3161932,0.303835,0.31638122,0.34790292,0.39674988,0.4619681,0.5343211,0.5919332,0.61779946,0.6117417,0.5916602,0.5725121,0.5567692,0.5362857,0.50685674,0.47344258,0.44610834,0.43194214,0.43175712,0.4427513,0.46062553,0.48048964,0.49671698,0.50632375,0.50988054,0.5108467,0.5106266,0.5087993,0.50324696,0.49330226,0.48029506,0.46947908,0.46922398,0.4849173,0.5134993,0.54163116,0.5560767,0.55023247,0.529183,0.5015341,0.47727475,0.46122256,0.4549736,0.45391825,0.45349297,0.45334184,0.4611064,0.4829041,0.514388,0.5379235,0.53886324,0.51649314,0.4868228,0.46520397,0.4570726,0.4556427,0.4519539,0.44168246,0.42898932,0.4253774,0.44318688,0.48275837,0.52741146,0.5501192,0.5375591,0.49820688,0.45770523,0.43436846,0.43206772,0.4414028,0.45426512,0.46629715,0.47806644,0.48907626,0.4996523,0.50913596,0.51783866,0.52418584,0.526401,0.5230646,0.5153063,0.5055663,0.4964002,0.4893507,0.48535487,0.48477456,0.48646173,0.48860136,0.48894396,0.48702765,0.48278606,0.47832814,0.47594813,0.47790352,0.48277128,0.4874992,0.48980772,0.4903395,0.49025574,0.48895994,0.48620832,0.48425308,0.48763296,0.4976481,0.5106953,0.5205292,0.52339774,0.51894855,0.5088691,0.49532303,0.48121426,0.4696958,0.46230665,0.4594859,0.46145955,0.47257805,0.4955586,0.5277896,0.55406976,0.5582798,0.53333986,0.49064603,0.44965756,0.4258119,0.4215151,0.42843774,0.43543163,0.43591142,0.43180373,0.42975715,0.43462145,0.44435486,0.45175353,0.44997188,0.43768033,0.41922748,0.40128076,0.38769093,0.37847388,0.37127665,0.36485717,0.35969225,0.35733512,0.35819927,0.35966614,0.35578832,0.3405378,0.3133613,0.28113374,0.2541922,0.23910022,0.23546912,0.23826183,0.24258626,0.24638082,0.25126895,0.26216003,0.28712273,0.3307012,0.38702193,0.43464556,0.44967756,0.42165235,0.36488214,0.30708948,0.27130026,0.26294515,0.27192995,0.2844094,0.2935613,0.30455473,0.33062086,0.3788332,0.4411756,0.4918425,0.5091447,0.48741046,0.4444344,0.40086475,0.37061486,0.35386586,0.3468981,0.34524179,0.3466411,0.34962878,0.35389504,0.35948014,0.36538908,0.36953226,0.36995044,0.3671907,0.36374176,0.36213854,0.36241707,0.36251685,0.3603915,0.35624328,0.35273013,0.3533505,0.35960436,0.36947116,0.3774806,0.37858292,0.37107727,0.3580071,0.34420434,0.33364627,0.3279685,0.32674053,0.32833803,0.33124533,0.33599734,0.34558067,0.36297646,0.38741794,0.4129165,0.4316503,0.43843308,0.43359888,0.42106214,0.40649018,0.3944939,0.38821912,0.3869606,0.38789606,0.38944384,0.3967998,0.42044714,0.46538424,0.52240425,0.56852,0.5864991,0.57568216,0.5536881,0.53717107,0.5327472,0.5344598,0.5341702,0.5271978,0.5152744,0.5034686,0.49644387,0.4942342,0.49293113,0.48824725,0.4805828,0.4745234,0.4745666,0.48008204,0.48618865,0.48827514,0.486132,0.48286855,0.48184595,0.4849995,0.49264538,0.5037291,0.5146367,0.5220308,0.5244262,0.5239816,0.5220258,0.51810914,0.50953317,0.49529347,0.47653234,0.45687935,0.44256243,0.440763,0.4586152,0.49188337,0.52631176,0.53696895,0.5127362,0.4582132,0.39766288,0.3500255,0.32499698,0.31830385,0.32459724,0.34038487,0.36717603,0.40823686,0.4645965,0.5292868,0.5870865,0.6211725,0.62504435,0.60528916,0.57753617,0.5549454,0.5445165,0.54524726,0.55194265,0.5575864,0.5571403,0.5498503,0.5386964,0.5288612,0.5237716,0.52340156,0.5233944,0.5192252,0.5101084,0.50044465,0.49535045,0.49603358,0.49859285,0.49894392,0.4965625,0.49618778,0.5023739,0.51714516,0.5365725,0.5548336,0.5648344,0.56348103,0.55165225,0.53559947,0.52115744,0.51067185,0.50057507,0.48621687,0.465556,0.44135356,0.4189565,0.4027008,0.3948647,0.3939152,0.39737248,0.40060374,0.40149423,0.39910758,0.39637616,0.39525,0.39672902,0.40069866,0.41145578,0.43879613,0.49018493,0.55890614,0.6206158,0.6493638,0.6369984,0.5998234,0.56311756,0.54283446,0.53818655,0.5395651,0.5387129,0.53360516,0.52595615,0.51838636,0.51234895,0.50913566,0.50789446,0.506494,0.50155085,0.49306527,0.4839176,0.47810984,0.47592923,0.4739747,0.46821558,0.4580741,0.44669822,0.43698683,0.42667386,0.40818593,0.37421837,0.32528225,0.2706738,0.22320788,0.19159205,0.17758484,0.1767772,0.18149342,0.18437327,0.18379654,0.18748195,0.21004605,0.26031232,0.32975996,0.39158562,0.4186398,0.4027795,0.36091772,0.3218013,0.30545795,0.31380248,0.3319908,0.34339443,0.34147057,0.33703622,0.35080275,0.39315686,0.45306602,0.4985795,0.5074279,0.47939232,0.44023848,0.41348374,0.40967342,0.42113543,0.43513122,0.44123006,0.4364258,0.42430702,0.41135135,0.40247166,0.39904606,0.3991569,0.40073133,0.40216193,0.4040089,0.40794393,0.41559145,0.4261261,0.43507946,0.43826625,0.43480346,0.42936397,0.4262936,0.4265066,0.42571083,0.4205736,0.41115633,0.4013302,0.39376882,0.38856196,0.38470557,0.38298097,0.38604602,0.39583454,0.41271603,0.436494,0.4676542,0.50500375,0.54297924,0.571354,0.5810671,0.56976247,0.5446245,0.51729965,0.4968383,0.4847726,0.47629598,0.46689746,0.45745003,0.45659396,0.47422042,0.51218003,0.5577674,0.58988094,0.59484684,0.5765038,0.5515864,0.53375953,0.52343696,0.5115016,0.4906377,0.46474484,0.4466146,0.4499443,0.47858962,0.5241088,0.56985706,0.60162854,0.6139333,0.61104316,0.59994155,0.5855692,0.5668841,0.5412786,0.5085624,0.4768748,0.45952114,0.46768257,0.5010083,0.54670185,0.5861109,0.605493,0.6018866,0.5834792,0.5625067,0.5483432,0.54248816,0.5404871,0.5362327,0.52701503,0.51599264,0.5109443,0.51815146,0.5343892,0.547215,0.54357105,0.5228316,0.4951372,0.47289082,0.45846474,0.44714543,0.43337741,0.41737485,0.40484738,0.4038614,0.422788,0.46201333,0.5103628,0.5452211,0.5496023,0.5239646,0.487075,0.45866773,0.4461193,0.44322562,0.4403617,0.43282136,0.42343473,0.42015603,0.43155003,0.46074557,0.50148815,0.54170185,0.5709984,0.5884492,0.59855896,0.605452,0.604683,0.5885423,0.5520955,0.5026367,0.4564531,0.43196797,0.43753502,0.46812972,0.5083181,0.5430879,0.5650862,0.576319,0.5826496,0.5885939,0.59431744,0.5969048,0.5923902,0.57892257,0.557432,0.5320624,0.50858015,0.4936131,0.4906011,0.49803552,0.5088107,0.5166364,0.5189841,0.5193506,0.5222102,0.52992517,0.5383008,0.5393774,0.52823716,0.5120608,0.5083253,0.5310078,0.57447857,0.6140876,0.62497157,0.6033084,0.5677076,0.5424637,0.53827053,0.5494783,0.56298417,0.5702471,0.5698645,0.565743,0.5611928,0.5575091,0.5531401,0.5464682,0.53662586,0.52400476,0.5103386,0.49751282,0.487916,0.4809822,0.47473094,0.46618536,0.4564698,0.44862893,0.44325888,0.43410358,0.41186735,0.373754,0.3270426,0.28480586,0.25532034,0.23906626,0.23070766,0.22541536,0.22017217,0.21449018,0.21169585,0.22107655,0.25596932,0.31878933,0.39204064,0.43963394,0.4365761,0.38630918,0.32268584,0.2806677,0.2759247,0.29802713,0.32445455,0.3373326,0.33503118,0.33268332,0.35098907,0.3970909,0.45518366,0.4938489,0.49279478,0.45706832,0.41156864,0.3780373,0.36254314,0.3596685,0.36153638,0.3641889,0.3653231,0.36550954,0.36615467,0.36974096,0.37605575,0.38310444,0.38782486,0.3897363,0.39012316,0.39140782,0.39437458,0.39852598,0.40230584,0.40457532,0.40480527,0.40366745,0.40141392,0.39777514,0.3905965,0.37925395,0.36495283,0.35178223,0.3431081,0.34001103,0.34076285,0.34230146,0.3426694,0.34313884,0.3489273,0.36776233,0.40375254,0.45408264,0.507226,0.55066377,0.57460046,0.5764744,0.55734366,0.5236792,0.48456204,0.4507885,0.42814627,0.41780916,0.41876566,0.43318757,0.46224308,0.50117785,0.5358963,0.55318946,0.5483959,0.52970797,0.5086191,0.4938877,0.48699605,0.4855486,0.48542628,0.48411515,0.4815971,0.47999394,0.48078266,0.48340985,0.48552534,0.48610982,0.48561883,0.48532653,0.48379347,0.47800156,0.46534133,0.44804642,0.43327236,0.4303341,0.44507825,0.47528887,0.5109915,0.5390714,0.55096173,0.5464354,0.5326176,0.51805216,0.5082899,0.5035825,0.50182253,0.49993452,0.49778125,0.49694547,0.50167555,0.51505107,0.5366435,0.5596344,0.57205373,0.56417805,0.5344569,0.4912704,0.44415227,0.39745542,0.34983096,0.30173498,0.26032627,0.23858683,0.24919884,0.29896632,0.38175622,0.47867092,0.5613169,0.6098128,0.62031794,0.60823137,0.59043455,0.57763886,0.5694491,0.5634372,0.5582765,0.55486035,0.55298156,0.54947424,0.54049045,0.52472305,0.50672084,0.4929547,0.4872596,0.48668435,0.48566055,0.47993776,0.47074744,0.4623311,0.45973328,0.46454713,0.4751521,0.4873935,0.49825242,0.5064928,0.51309747,0.5187493,0.5224383,0.5214576,0.5141394,0.5029536,0.4926566,0.4867967,0.48434302,0.48256055,0.47924137,0.4738467,0.46565637,0.45373854,0.4388025,0.42325523,0.4114265,0.40542892,0.40662584,0.41305292,0.4238796,0.43587792,0.44717145,0.4561241,0.467545,0.48938918,0.52536625,0.56645375,0.5934983,0.5939822,0.57091403,0.54202026,0.5216823,0.5150743,0.5160726,0.51852465,0.51743996,0.5132475,0.5072671,0.5032201,0.50218767,0.5041732,0.50601596,0.505811,0.5013814,0.4926164,0.47938207,0.46458074,0.45210102,0.44586578,0.44594058,0.44908202,0.45116183,0.44820043,0.43650272,0.41111675,0.3709216,0.32050017,0.27096903,0.23229086,0.20998685,0.20304592,0.20708744,0.21499453,0.22136766,0.2278047,0.24669094,0.29283562,0.3658342,0.44258356,0.48816356,0.48431754,0.43933392,0.38266087,0.34047505,0.3257263,0.3332597,0.3486868,0.35766634,0.35785922,0.3619033,0.3865167,0.4345111,0.4867189,0.5149147,0.5055164,0.46915916,0.4309,0.40937197,0.4085497,0.41973662,0.43147722,0.4355961,0.43044463,0.41980636,0.40867698,0.40044495,0.39539084,0.3929964,0.3928236,0.39525497,0.40104604,0.41028395,0.421757,0.4318501,0.43651164,0.4337233,0.425503,0.41641307,0.4094768,0.40436435,0.39796495,0.38857555,0.3771086,0.36688116,0.36051986,0.35905543,0.3614639,0.36587104,0.37014195,0.37304974,0.3745077,0.37521735,0.37571895,0.3759369,0.3756443,0.3749545,0.37451842,0.37500143,0.3765417,0.37858164,0.38038108,0.38126376,0.3805832,0.3790729,0.3812051,0.39701608,0.4331099,0.4846058,0.5299729,0.54914737,0.53597814,0.5045963,0.47174522,0.4466573,0.42845488,0.41522634,0.40797582,0.40797302,0.4138972,0.42147467,0.42741624,0.43021795,0.4302927,0.42825314,0.42508283,0.42119226,0.41680112,0.41208664,0.40818262,0.40611526,0.4049716,0.40266225,0.39834893,0.39558956,0.3988401,0.40859208,0.41797772,0.4177871,0.40388083,0.38026953,0.35548958,0.3364582,0.32679877,0.3274069,0.3379723,0.35720614,0.38391426,0.4177135,0.45536575,0.4886556,0.5044255,0.49572673,0.46600565,0.42894864,0.39441323,0.36355588,0.32926586,0.28729057,0.24123223,0.20461911,0.19551785,0.23055625,0.310371,0.4148465,0.5058412,0.55456704,0.5551869,0.52855766,0.49853465,0.47942862,0.47101557,0.4681492,0.46611607,0.4625387,0.4565184,0.45051017,0.4486749,0.45492744,0.46553147,0.4739368,0.4744899,0.47083864,0.46872914,0.47183982,0.4767158,0.47907963,0.47651753,0.47075567,0.46417296,0.45930222,0.45588282,0.45216498,0.44377565,0.4289401,0.4087138,0.38860056,0.37307563,0.3632519,0.35592076,0.3472024,0.3364998,0.32660258,0.32110637,0.3206634,0.32300246,0.3257415,0.32900807,0.33577764,0.3486143,0.36787364,0.3903388,0.41204074,0.4286536,0.43810967,0.4396274,0.43721113,0.4383459,0.4529551,0.48273245,0.5176863,0.5381999,0.5320413,0.5017423,0.4626421,0.4279499,0.40268877,0.3845698,0.36984286,0.3549038,0.33782443,0.320039,0.30849317,0.31123987,0.33217284,0.36543217,0.39979365,0.42431316,0.43597123,0.43812788,0.43732664,0.43752325,0.43903378,0.43890226,0.43284258,0.41905484,0.39935204,0.37963775,0.36324218,0.34961066,0.33326098,0.3103336,0.2801092,0.24663202,0.21539937,0.1910484,0.1746158,0.16597636,0.16808814,0.19089003,0.2426561,0.31881192,0.39434287,0.43897685,0.43675563,0.39915028,0.35330868,0.32399604,0.31904268,0.3307577,0.34410062,0.34885374,0.3472986,0.35344243,0.380687,0.4262586,0.4687157,0.4835348,0.46441993,0.42747924,0.3953724,0.3785486,0.37199092,0.36561906,0.35396647,0.33757743,0.32021737,0.3065904,0.29992953,0.29949668,0.2999525,0.29654595,0.2889653,0.2815669,0.27761486,0.27644864,0.27514455,0.27208814,0.2685481,0.2669697,0.26962844,0.27768362,0.289402,0.30039772,0.30468062,0.30034837,0.2901779,0.28028762,0.2742255,0.27214953,0.2719692,0.27270362,0.27436098,0.27799878,0.2852852,0.29996285,0.32533178,0.35999632,0.3946346,0.41569248,0.41406405,0.3900658,0.35281625,0.31347847,0.2811949,0.2595705,0.24797958,0.24537094,0.25635576,0.29257345,0.36042526,0.45017067,0.53184706,0.57792777,0.5779399,0.5454084,0.4978663,0.44821298,0.40103698,0.36146656,0.33510718,0.32677475,0.3388772,0.37082425,0.4179257,0.46877393,0.51036376,0.53428274,0.5414747,0.5372249,0.5246727,0.5031559,0.47318923,0.44166362,0.41970465,0.415351,0.42773357,0.447858,0.46431637,0.46886274,0.45954946,0.44064,0.41942775,0.40220404,0.39070094,0.3819706,0.36903453,0.34537646,0.30949423,0.27183014,0.25124,0.266949,0.31978187,0.39054212,0.44591162,0.46526822,0.4487451,0.4170338,0.3897537,0.3758026,0.37018546,0.3638978,0.3523686,0.3432138,0.3526392,0.39646456,0.4703997,0.551138,0.60412,0.61277485,0.5803504,0.5276883,0.47151986,0.4228617,0.3854638,0.36143157,0.35078633,0.35285583,0.36718997,0.39208436,0.42233327,0.44970596,0.46741435,0.47365525,0.47133362,0.4648958,0.45849967,0.45491707,0.4553248,0.45842218,0.4618709,0.46391234,0.46530652,0.46688274,0.46817353,0.46590352,0.45815253,0.4458097,0.43336213,0.42483607,0.42176148,0.42249978,0.424057,0.42416906,0.42213085,0.41942,0.41847754,0.42194137,0.43013862,0.44039568,0.44732133,0.445825,0.43433604,0.4158889,0.39732304,0.38483346,0.38045108,0.37872335,0.3710928,0.3539623,0.3377981,0.34110543,0.37589118,0.43139338,0.4826192,0.5075676,0.50586194,0.49115384,0.47835717,0.47046566,0.461786,0.44442335,0.41597566,0.38156578,0.35218444,0.3390002,0.3472694,0.3733858,0.40681103,0.43530253,0.44934675,0.44486186,0.4235885,0.39227584,0.3601763,0.3349686,0.32032856,0.31536305,0.31761208,0.32435656,0.33399513,0.3448211,0.3558732,0.3663142,0.37622032,0.38563514,0.39462435,0.40187824,0.40426135,0.39776024,0.3824916,0.36684564,0.3664112,0.3919665,0.43818918,0.48253083,0.50173587,0.48880097,0.45631388,0.42394462,0.40378857,0.39690462,0.39669713,0.39584565,0.39061213,0.38506666,0.39016426,0.4135095,0.44878498,0.4743209,0.47111416,0.4382342,0.3945212,0.36051404,0.3445706,0.34152898,0.34259212,0.3425033,0.3406122,0.33822384,0.3366419,0.3366016,0.3380612,0.34017205,0.34117523,0.33973277,0.3356657,0.3303588,0.32536286,0.32159933,0.3189185,0.31711748,0.31674635,0.31964234,0.32690766,0.33751392,0.3476329,0.35416648,0.3563207,0.35620284,0.35559464,0.35532787,0.35520735,0.35615787,0.35998452,0.3688551,0.38336828,0.40329483,0.42879394,0.4613173,0.5006767,0.5415831,0.5744359,0.59134537,0.59264994,0.5869282,0.58425754,0.5876352,0.5893646,0.57733965,0.54775435,0.5133994,0.4971838,0.51202446,0.54881644,0.58130175,0.5887179,0.5672783,0.5290453,0.48809183,0.45500228,0.4355283,0.430946,0.43704987,0.4470376,0.4591423,0.47873378,0.51185733,0.5550339,0.5954182,0.619728,0.6245145,0.6141862,0.59355706,0.5611263,0.51442313,0.45711127,0.40248916,0.36637166,0.35945964,0.3814536,0.4226648,0.46700644,0.5010557,0.5184377,0.5227948,0.52039766,0.5171149,0.51458126,0.5139756,0.51496345,0.5181652,0.52471226,0.5383195,0.5622058,0.59417385,0.62520313,0.64288044,0.6403958,0.6177988,0.58281535,0.54657197,0.5224381,0.51806515,0.5292187,0.5413771,0.5419859,0.53180116,0.5211162,0.5172744,0.51599216,0.50761586,0.48788604,0.46240345,0.44043127,0.4272277,0.42142966,0.41849247,0.41490903,0.40986183,0.40455627,0.40011624,0.39719188,0.3954872,0.394477,0.39333737,0.39136624,0.38869238,0.3861122,0.38477075,0.38484216,0.38542518,0.38519832,0.38408032,0.3838011,0.38705078,0.3939332,0.40136424,0.40379253,0.3991032,0.38897488,0.3783897,0.3700867,0.36489904,0.36209765,0.36225805,0.36673334,0.3779964,0.4000155,0.4374293,0.49208388,0.5570347,0.61648726,0.6524253,0.6562712,0.6343601,0.60302716,0.57783765,0.56380224,0.555834,0.5447715,0.52816963,0.51375824,0.5158692,0.54263717,0.5886369,0.63641196,0.669535,0.6790223,0.6633764,0.6218755,0.55730784,0.47962022,0.40726957,0.3576639,0.33896157,0.34703615,0.3718809,0.40273294,0.43207172,0.453666,0.4643207,0.46354973,0.455838,0.4463096,0.4381558,0.4301758,0.42079285,0.41122267,0.40712103,0.41452911,0.4364351,0.46909285,0.5038391,0.5287551,0.533878,0.5134521,0.46893242,0.40859723,0.34539294,0.29145598,0.252945,0.23002887,0.22373189,0.24108309,0.2925613,0.37598613,0.46947002,0.53656125,0.5528013,0.51912427,0.46045735,0.4037361,0.36422375,0.34257224,0.3328508,0.32985327,0.33300504,0.34749463,0.38126376,0.43706012,0.5048875,0.56267875,0.5913103,0.5872991,0.5646209,0.538367,0.5140893,0.4865553,0.45227394,0.4148318,0.38344836,0.36365208,0.35403344,0.34816864,0.34109902,0.33142698,0.32120374,0.31226453,0.3059367,0.30172753,0.29918742,0.2976055,0.2967669,0.29686305,0.2992275,0.30796543,0.3278412,0.3616382,0.40515324,0.44977304,0.48539814,0.5068583,0.5132862,0.5081761,0.49567583,0.4798961,0.46329632,0.44805527,0.43713292,0.43492126,0.44389546,0.4616786,0.47960928,0.48872724,0.48435152,0.4696909,0.4504318,0.43215764,0.4166238,0.40435448,0.39260998,0.3783063,0.3613658,0.35194325,0.3659248,0.40944493,0.46668807,0.5068762,0.5114275,0.4871504,0.459807,0.44667616,0.447094,0.44538155,0.43024185,0.40197143,0.37327468,0.35667166,0.35673758,0.36756194,0.38041663,0.3899556,0.39551154,0.39791897,0.39667466,0.39050198,0.3785769,0.36226594,0.3448348,0.33083594,0.32421514,0.32861838,0.3456812,0.37534463,0.41183612,0.4467603,0.47005096,0.47764835,0.4700916,0.45215383,0.42619535,0.39310977,0.3534222,0.3134037,0.2852912,0.2858061,0.3250214,0.3963631,0.47301015,0.5219743,0.52451366,0.4852146,0.4246286,0.3647118,0.322613,0.30771068,0.31916082,0.34589145,0.37580404,0.40714285,0.4460059,0.49243784,0.53094506,0.54122084,0.51633567,0.46917006,0.42164758,0.38937727,0.37668023,0.37900797,0.388796,0.3982226,0.40229383,0.39976624,0.39304486,0.38536516,0.37907088,0.37453744,0.37137625,0.36905512,0.36750463,0.36662546,0.36617246,0.36594117,0.36645028,0.36908388,0.37521872,0.38474727,0.39485002,0.40168938,0.40241674,0.39818767,0.39202645,0.38703826,0.38325182,0.3793905,0.37443534,0.36939976,0.3673121,0.37276888,0.39160693,0.4275147,0.47863793,0.5341508,0.57969517,0.60413694,0.60870284,0.6022983,0.5950115,0.58689016,0.57236236,0.5459219,0.5105887,0.47353807,0.44145656,0.41669488,0.3998249,0.39130202,0.39093673,0.39643142,0.40301976,0.4062176,0.40375474,0.3976588,0.39246252,0.39359263,0.40420946,0.42363498,0.44670162,0.46554062,0.47412765,0.47175372,0.46431825,0.46002987,0.46523774,0.48011684,0.5004173,0.5201332,0.53509116,0.54216033,0.53789324,0.5211332,0.49617234,0.47387496,0.46237326,0.46215403,0.46505916,0.4655062,0.46309033,0.4631425,0.46773657,0.47618878,0.48383784,0.48590937,0.4763519,0.45197806,0.41675344,0.38269818,0.362581,0.3587326,0.36223206,0.36094823,0.3510026,0.33709943,0.32536188,0.31564975,0.30200312,0.27954206,0.2503919,0.22451562,0.21438074,0.22981016,0.27170104,0.3313441,0.39113197,0.43438467,0.45162597,0.44512805,0.42368734,0.397626,0.37389228,0.35484508,0.33891955,0.3229048,0.3054612,0.28772786,0.27262163,0.26071885,0.25049117,0.23894387,0.22633015,0.21691547,0.21734245,0.23100585,0.25360626,0.27481988,0.28465578,0.28133693,0.27264366,0.27091146,0.28293383,0.30411136,0.32000282,0.31786504,0.29551682,0.26470882,0.24181493,0.2379964,0.25038382,0.2660905,0.27336052,0.2747788,0.28624496,0.32344273,0.38550022,0.45565328,0.512533,0.5446181,0.5481009,0.525199,0.4803268,0.42736652,0.38395083,0.3642627,0.36914814,0.3918737,0.42799565,0.47705793,0.5352909,0.5874566,0.6167746,0.6170161,0.5987907,0.5773649,0.56118846,0.54773587,0.53096324,0.5083278,0.48516214,0.47059634,0.4718524,0.48762262,0.5098726,0.5295289,0.5429447,0.55269337,0.56269294,0.57413507,0.58317614,0.5852857,0.5765333,0.55637676,0.5258669,0.49111393,0.46154043,0.44748673,0.45148453,0.46712053,0.48234448,0.48909095,0.48737827,0.4837853,0.48484066,0.49047768,0.49542972,0.4925013,0.4818567,0.46957698,0.46822205,0.48391703,0.5135457,0.53963375,0.5455002,0.523643,0.48299146,0.43775034,0.3996718,0.37313664,0.35782138,0.35087347,0.34945378,0.35527527,0.37575004,0.4160749,0.4681009,0.5086243,0.51720655,0.49257466,0.45428702,0.42374706,0.40955603,0.40739524,0.41099188,0.42016938,0.43885204,0.4695209,0.508369,0.5466606,0.5751868,0.5896961,0.59155387,0.58540416,0.5743432,0.5601031,0.54368204,0.52841073,0.51765937,0.5134566,0.51425654,0.51802576,0.52355576,0.5316891,0.5412102,0.5496101,0.55350834,0.5530615,0.550016,0.54654306,0.5425784,0.53729844,0.529495,0.5199128,0.51089793,0.5083389,0.51637894,0.53525764,0.5562091,0.5686631,0.5654779,0.5497115,0.53000355,0.5146971,0.5066449,0.50410724,0.50437766,0.50494283,0.50512856,0.50653595,0.5155147,0.5365284,0.56604546,0.58927935,0.59281474,0.5753644,0.55000156,0.5317288,0.5271265,0.5322333,0.53911316,0.541927,0.5395026,0.5337482,0.5267477,0.51916295,0.50992763,0.4993057,0.489113,0.48283848,0.48112425,0.48147583,0.4794333,0.4728326,0.46254733,0.4509678,0.4397348,0.42910305,0.41664127,0.39775535,0.36694548,0.3237867,0.2739669,0.22781922,0.1934023,0.17425863,0.16839127,0.17095493,0.1757341,0.17997737,0.18782651,0.2120504,0.265022,0.34480515,0.42671847,0.4750875,0.4693824,0.42022717,0.3611482,0.32185027,0.31074777,0.31538844,0.31775847,0.30840492,0.29294482,0.2889584,0.3127701,0.36574578,0.4277316,0.4708123,0.47843012,0.45744494,0.42756283,0.40538767,0.39400497,0.3880224,0.38115343,0.37190247,0.36238083,0.35573903,0.35327768,0.35411584,0.35632083,0.3584851,0.36002406,0.36083362,0.36097363,0.3608891,0.36106098,0.36108804,0.359664,0.356207,0.35263464,0.3525225,0.35714164,0.3638972,0.36772385,0.36674383,0.36259627,0.35924172,0.358366,0.35992146,0.3627372,0.36638847,0.37092367,0.3776481,0.38943925,0.410815,0.444133,0.4867176,0.52847725,0.5568587,0.56229997,0.5445872,0.5122754,0.47787306,0.45064887,0.43230093,0.41927585,0.4093047,0.4066316,0.42070124,0.45486665,0.5007475,0.53854424,0.554504,0.5473587,0.52996284,0.51415473,0.5057893,0.50203735,0.49820423,0.49096644,0.48149875,0.47483304,0.47649443,0.4885064,0.50647575,0.5222296,0.528295,0.5231075,0.51158774,0.501466,0.4981419,0.50095063,0.5050063,0.50429106,0.49696723,0.48569262,0.47742653,0.4771625,0.4862465,0.49883947,0.5076966,0.5057368,0.493031,0.4745148,0.4585434,0.44958034,0.44667998,0.4460727,0.4470915,0.4542826,0.4738277,0.5043165,0.5348032,0.54762095,0.53347677,0.49521378,0.44727173,0.40296614,0.37030777,0.3512484,0.34528005,0.3517947,0.3704333,0.40206155,0.4462315,0.49800196,0.5466666,0.57917976,0.5889592,0.57860065,0.55894613,0.5410137,0.5330034,0.53709537,0.54982847,0.56229466,0.5659117,0.5576821,0.5426476,0.527743,0.51678854,0.5085234,0.5017204,0.49714664,0.4964138,0.4982896,0.49908733,0.49651983,0.4918172,0.4892789,0.4919354,0.50031453,0.5104694,0.5171177,0.5155268,0.50628936,0.4938724,0.48378256,0.47757587,0.4733368,0.468444,0.46284565,0.45883307,0.4588366,0.4628801,0.46825516,0.47112104,0.46946263,0.4637797,0.45653868,0.44914457,0.4424573,0.43589067,0.430187,0.42453977,0.4182476,0.40786847,0.39280352,0.37777635,0.3771503,0.40537357,0.46238065,0.52667004,0.5686334,0.5762944,0.5618462,0.5489951,0.54885036,0.5571548,0.5624873,0.5598853,0.55193347,0.5437651,0.5376461,0.53090876,0.5205172,0.5055902,0.48942026,0.4750049,0.46340573,0.45314583,0.4435711,0.43510494,0.42849037,0.42291304,0.41737047,0.41207683,0.40836617,0.4045006,0.39433298,0.36959994,0.32871315,0.27836183,0.23151354,0.19787538,0.1812784,0.17822546,0.18129317,0.18214326,0.17820536,0.17771357,0.19876945,0.25383067,0.33486602,0.40847623,0.4392395,0.413866,0.3528659,0.29215136,0.25887182,0.25747827,0.2735959,0.28877386,0.29367414,0.29446718,0.30832043,0.34656525,0.40411243,0.4564599,0.48202875,0.47431803,0.44870493,0.4242024,0.41361606,0.41725418,0.42877796,0.440039,0.44583896,0.44654754,0.44750607,0.45414546,0.4673833,0.48171628,0.49017295,0.48900393,0.4807634,0.47097698,0.46433222,0.4611459,0.45872495,0.45402345,0.4470445,0.44080248,0.4379344,0.43767834,0.43470788,0.42434946,0.40598682,0.38512364,0.36836585,0.3601966,0.36098674,0.36916617,0.3820846,0.39713767,0.41319302,0.43172678,0.45632184,0.4870442,0.51918846,0.5427739,0.5514662,0.543213,0.5230083,0.4952458,0.46501872,0.43445373,0.4060874,0.37981787,0.35813835,0.34770882,0.3615514,0.40461075,0.46613988,0.5186314,0.5423855,0.53575295,0.5164014,0.49920163,0.4891988,0.48016807,0.46680522,0.44938266,0.4361186,0.43710193,0.45800182,0.4951698,0.5368095,0.5697129,0.58578396,0.5861952,0.57720375,0.56462073,0.548845,0.5269724,0.49713114,0.4633547,0.43650818,0.4303595,0.45230937,0.4954864,0.54018396,0.56610924,0.5658444,0.54756814,0.5266766,0.5138774,0.51075315,0.5124357,0.51403135,0.51424426,0.51601285,0.5242884,0.5418854,0.5639153,0.5778144,0.5695033,0.536148,0.4869527,0.43779573,0.39719638,0.36618277,0.3396902,0.31437516,0.28984952,0.27365956,0.2801137,0.32292426,0.39770103,0.47785187,0.52730244,0.530506,0.49990538,0.46518144,0.44507444,0.44106328,0.44239876,0.4414277,0.43818018,0.44014874,0.4560093,0.48906198,0.5329253,0.57536185,0.60660625,0.62557214,0.6360015,0.63863605,0.62817556,0.5973546,0.54591876,0.481974,0.42206445,0.3830833,0.37860826,0.4106085,0.46938255,0.535675,0.5918955,0.62908846,0.6493314,0.6597378,0.6649789,0.6659932,0.65938544,0.64461344,0.61982656,0.5869229,0.5479,0.51282245,0.4924675,0.49347934,0.50939924,0.5275092,0.5380549,0.54237026,0.54787874,0.55957395,0.57238466,0.57457536,0.5580223,0.5285288,0.5053586,0.506862,0.53593206,0.5760791,0.6057592,0.61314607,0.6019682,0.5836425,0.56815505,0.55973476,0.5576198,0.55708724,0.55281377,0.5407546,0.5236618,0.50731605,0.49842247,0.496462,0.49638006,0.49059072,0.47624385,0.45524165,0.4334921,0.41554794,0.40254855,0.39158657,0.38007486,0.36840078,0.3599377,0.35505316,0.34855095,0.33160424,0.301127,0.26233813,0.22663991,0.20241235,0.19196682,0.19075517,0.1914603,0.18752922,0.17987692,0.17966293,0.20632441,0.27025157,0.360249,0.43941388,0.47187307,0.44558775,0.38414454,0.32509747,0.29548815,0.2974397,0.31339952,0.32379588,0.3212998,0.31800467,0.33627233,0.3885672,0.4639522,0.5290573,0.55592793,0.5390006,0.4999461,0.4642175,0.4462712,0.4440494,0.44844475,0.45171046,0.45078048,0.4466122,0.44096723,0.43485668,0.42840752,0.42152953,0.41432437,0.4068227,0.399346,0.39314115,0.38947,0.38833508,0.38732672,0.38411805,0.37906912,0.3759645,0.3777255,0.38277623,0.38515607,0.38073996,0.3707324,0.36081257,0.35501733,0.35373262,0.35491452,0.35708323,0.35962498,0.3630478,0.37102327,0.39111528,0.43045282,0.48680487,0.5463175,0.59051734,0.60929805,0.60457665,0.5849733,0.55783355,0.527296,0.49715582,0.47069526,0.44968084,0.43474838,0.42969278,0.44265863,0.47715333,0.5242984,0.5630579,0.577472,0.56767386,0.5485689,0.5348171,0.53102916,0.53394264,0.5383212,0.54197377,0.54326516,0.54096246,0.5339947,0.52406687,0.5153933,0.51234704,0.5164129,0.5252684,0.5348063,0.5418889,0.54536796,0.5456578,0.54368234,0.5415322,0.5426874,0.550873,0.5672224,0.5881502,0.60776955,0.6213405,0.6293871,0.63501596,0.6413049,0.6470074,0.6494538,0.646398,0.6393287,0.6309115,0.62436914,0.62161297,0.6236703,0.6292971,0.6340845,0.6325845,0.6206904,0.5987007,0.5680181,0.52816904,0.47663215,0.41398612,0.3508278,0.3047419,0.29432485,0.32711503,0.39715448,0.4839852,0.5628073,0.6138137,0.63237935,0.62719846,0.61349636,0.6033234,0.6021084,0.6089795,0.6196497,0.6289163,0.63254064,0.6276172,0.612885,0.5883076,0.55622977,0.521118,0.48916873,0.46578586,0.45391127,0.45265046,0.45886645,0.4688371,0.48072425,0.49359798,0.5067928,0.51876026,0.5278669,0.5333778,0.5358575,0.5371332,0.5383621,0.53879434,0.53664565,0.53156775,0.5264036,0.524633,0.5271702,0.53101516,0.5306585,0.52232426,0.50454205,0.4801952,0.45310792,0.42920902,0.41252542,0.4060804,0.40818664,0.41602477,0.4249337,0.43314806,0.43857548,0.44413742,0.455169,0.48272824,0.5291083,0.5848682,0.6262318,0.6370804,0.6173107,0.5847462,0.5561591,0.5393471,0.5312924,0.5264952,0.5209417,0.5138158,0.5059465,0.49705186,0.48413876,0.46354523,0.43498683,0.40347,0.37532982,0.3541616,0.33900294,0.32750258,0.31777743,0.30902657,0.30091846,0.29417738,0.29118824,0.2924068,0.2938857,0.2864937,0.2646037,0.2306384,0.19584985,0.17092873,0.1608705,0.16279346,0.170017,0.17474699,0.17258655,0.16739257,0.17331107,0.2098457,0.28218594,0.37180865,0.43747535,0.44935057,0.4062387,0.3412087,0.2906952,0.27456915,0.28638336,0.3058386,0.31549492,0.312418,0.31027743,0.32892475,0.37608516,0.4387907,0.4865466,0.49812266,0.47365072,0.43677732,0.41102803,0.40707982,0.4183599,0.4307753,0.43306407,0.42221507,0.4041727,0.38759175,0.37765923,0.3728899,0.3673797,0.35705757,0.34276497,0.33035377,0.32582274,0.33120242,0.3425906,0.3520987,0.35429028,0.34982705,0.34735224,0.3558369,0.38184533,0.42334446,0.47498345,0.52620906,0.56850314,0.59416395,0.6028449,0.59911263,0.5917909,0.58681804,0.584726,0.5820479,0.5771971,0.57379055,0.577262,0.5888689,0.6028742,0.61101514,0.6084536,0.5971289,0.58348066,0.57413054,0.5716658,0.5742204,0.57929534,0.58910304,0.6093695,0.6422618,0.6779857,0.70024353,0.69677895,0.67056376,0.63424414,0.6011463,0.5770369,0.5610013,0.549576,0.53901625,0.5286618,0.520446,0.5185402,0.5235408,0.5311479,0.53348595,0.52650803,0.5121937,0.49758676,0.48840794,0.48651353,0.48950288,0.49359894,0.4959674,0.49629125,0.49641004,0.498929,0.50383383,0.5079859,0.5057843,0.49487054,0.4775257,0.460318,0.4485825,0.44462347,0.4471645,0.45343152,0.46021459,0.46655294,0.47584867,0.49599025,0.5321129,0.579307,0.62032795,0.637466,0.6236741,0.5880902,0.54625875,0.5124082,0.49221444,0.48521498,0.48555768,0.48887536,0.49425897,0.5062271,0.5269912,0.553183,0.57424563,0.5815718,0.573317,0.55584705,0.53757095,0.5243034,0.5184587,0.519273,0.5247855,0.5318498,0.53925216,0.5481581,0.56098706,0.5775824,0.59371316,0.6037863,0.6045706,0.596432,0.5818749,0.5635373,0.5445152,0.5277268,0.5162435,0.51180035,0.5151573,0.524174,0.53450245,0.53963757,0.5357466,0.52246433,0.503904,0.48438668,0.46761653,0.45573747,0.450161,0.45105505,0.45690086,0.46576646,0.47645345,0.48890385,0.5015957,0.5111579,0.5128437,0.5057377,0.4923247,0.47827515,0.46662846,0.45804325,0.45046642,0.441475,0.42954648,0.41731825,0.41463113,0.43544912,0.48424375,0.5469461,0.5937967,0.60367346,0.57666,0.5331275,0.49248755,0.4635403,0.4443908,0.4306197,0.4192209,0.40896952,0.40104795,0.3973514,0.39873597,0.40251008,0.4050655,0.40518042,0.40523133,0.40760493,0.41177085,0.41542873,0.41799703,0.4213958,0.4277468,0.43692556,0.44739807,0.4565918,0.4608914,0.45441756,0.4332677,0.399832,0.36525846,0.34176216,0.33426824,0.33622155,0.33728018,0.33289948,0.32855526,0.3349904,0.360834,0.407902,0.46666256,0.51643115,0.5315998,0.49940374,0.43013695,0.3532444,0.29663658,0.2711766,0.26870206,0.27268955,0.27190042,0.2684561,0.27864662,0.32138172,0.4007485,0.4953133,0.5680377,0.59298354,0.5731058,0.5353679,0.5064165,0.49688205,0.50088525,0.5083024,0.51231974,0.5111428,0.5050793,0.49481025,0.48161495,0.46775833,0.45616665,0.4484664,0.44445184,0.4426957,0.44213235,0.44123885,0.43752995,0.42851958,0.41650286,0.40935263,0.41623905,0.4380144,0.46588585,0.48751697,0.4977208,0.49988008,0.500151,0.5018301,0.50385714,0.5053983,0.5055216,0.5055287,0.5057834,0.50838953,0.51422554,0.5244201,0.53683573,0.54764044,0.5520849,0.54822785,0.53866583,0.5277212,0.5195572,0.5145025,0.51232964,0.512595,0.51764613,0.5307676,0.55379415,0.5833644,0.60857314,0.6173022,0.60250455,0.5707392,0.53423554,0.5052726,0.48549357,0.472294,0.46171847,0.4547193,0.45310414,0.45692852,0.4629449,0.4669702,0.46699777,0.4638947,0.4602627,0.45846078,0.4597045,0.46398237,0.46975708,0.4735874,0.4713532,0.46129963,0.44680026,0.43479455,0.4310354,0.43478575,0.43979764,0.43901363,0.4312991,0.42125916,0.41551498,0.4174761,0.4266117,0.43988904,0.45301557,0.46177456,0.4651854,0.46799242,0.47995034,0.50548863,0.53847677,0.56171966,0.5631291,0.5427632,0.5147578,0.4946456,0.49340487,0.5132775,0.5475771,0.581618,0.59942913,0.59522134,0.57836443,0.5626018,0.553224,0.54061717,0.51674515,0.48196974,0.44830832,0.42284998,0.4071953,0.3970786,0.39112255,0.38844678,0.38831452,0.3888608,0.38931802,0.39033794,0.3924267,0.3953979,0.3979765,0.3995404,0.39901614,0.39625165,0.39130512,0.3864622,0.38325104,0.38283798,0.3846127,0.3894883,0.39737698,0.4064553,0.41157976,0.40942302,0.4012086,0.3921245,0.38635466,0.3838998,0.3825811,0.3807948,0.3800141,0.38215938,0.3882395,0.3962994,0.40345883,0.40687776,0.40641567,0.40395585,0.4030849,0.40509212,0.40973938,0.41435972,0.418377,0.42063344,0.42080867,0.41702905,0.41104853,0.40966418,0.42251214,0.45202628,0.48593655,0.50362605,0.49224755,0.45881072,0.42357764,0.4044493,0.4051931,0.41816068,0.4317272,0.4391373,0.43951523,0.4373407,0.43558928,0.4343442,0.4302012,0.42194822,0.4110709,0.4014566,0.39561477,0.39394382,0.394562,0.39529732,0.39503074,0.39525744,0.39906785,0.4089903,0.4226919,0.43161872,0.42450082,0.39573658,0.35125563,0.3063692,0.27759537,0.274093,0.29323784,0.32165334,0.34180638,0.34324577,0.33091226,0.32403657,0.34360424,0.39264825,0.45026025,0.48053917,0.46335134,0.40563294,0.33810914,0.2865087,0.2604887,0.2525276,0.2520087,0.25441405,0.26467112,0.29587847,0.35476032,0.43315002,0.50252277,0.5370389,0.5288747,0.49691406,0.46625698,0.45293772,0.4554287,0.46272126,0.46368933,0.4546727,0.44040212,0.43009296,0.42937505,0.43701637,0.4449276,0.4463021,0.43931755,0.4292885,0.42270377,0.42291388,0.42759934,0.43162152,0.4314345,0.42820418,0.42650604,0.43113008,0.4419714,0.45487413,0.46274456,0.46265098,0.45557454,0.44710913,0.4410205,0.43887234,0.43860936,0.43771252,0.43455312,0.4292756,0.42373928,0.41978976,0.4188224,0.42012414,0.42088166,0.4172405,0.40720478,0.3927844,0.37897196,0.36988738,0.3659099,0.3627735,0.35451278,0.3357308,0.30430648,0.26198533,0.2143804,0.1689934,0.13196598,0.105748706,0.089063615,0.07920358,0.073976494,0.071990095,0.071861655,0.07172093,0.06989711,0.06573465,0.059861075,0.0534952,0.047681272,0.04293714,0.039339315,0.03674588,0.03493173,0.033706997,0.03293108,0.032448962,0.0320093,0.031299636,0.030110618,0.028482825,0.026688725,0.025055023,0.023735637,0.022614261,0.021396002,0.019846482,0.018002901,0.016153801,0.014651347,0.0136618875,0.01309853,0.012677181,0.012096908,0.011216696,0.010119609,0.009040634,0.0081587015,0.0075014974,0.006954676,0.00640663,0.0058281906,0.0052716383,0.004804339,0.004446685,0.004164789,0.0038843201,0.0035440375,0.0031460251,0.0027717415,0.002524199,0.0024393273,0.0024558308,0.0024807868,0.0024713352,0.0024553952]