[0.0023993654,0.0026721966,0.0034624885,0.0049468167,0.007244917,0.010341149,0.014119024,0.018347995,0.022652743,0.02639356,0.028708098,0.028751587,0.026403181,0.022762338,0.020662466,0.02362298,0.03525183,0.056634482,0.08618376,0.11840552,0.14727001,0.16754083,0.17763598,0.1784554,0.17344552,0.1674698,0.16586524,0.17205991,0.18527184,0.20092545,0.21310878,0.21820968,0.2161312,0.209463,0.20097972,0.19180393,0.181396,0.16960388,0.15881081,0.15408851,0.15964603,0.175686,0.19721477,0.21795519,0.23327261,0.24221456,0.24567324,0.24585827,0.2451055,0.24555254,0.24728495,0.24822523,0.24579926,0.23995721,0.23390222,0.23101997,0.23093648,0.22840036,0.21837904,0.20170157,0.18694651,0.1839547,0.19657731,0.21952188,0.24297671,0.25865296,0.26370633,0.26018167,0.25286907,0.24602051,0.24146639,0.23794039,0.23310472,0.22577168,0.21686077,0.20834802,0.20172203,0.19771999,0.19671743,0.1986707,0.20279944,0.20738612,0.21102019,0.21286775,0.21317911,0.21212715,0.2101701,0.20716852,0.20328337,0.19848548,0.19360566,0.18925266,0.18536067,0.18036121,0.17294694,0.1637275,0.15529849,0.14961602,0.14623974,0.1432844,0.14014067,0.1374138,0.1353507,0.13236962,0.12821133,0.12550627,0.12884818,0.13932775,0.15310544,0.16420819,0.16967529,0.17063378,0.16967551,0.1680881,0.16559641,0.16174811,0.15648921,0.15018858,0.14369215,0.13948232,0.14126132,0.15249598,0.17285852,0.19774331,0.2195925,0.23310705,0.23705763,0.23359412,0.22438405,0.2104754,0.19520707,0.18496014,0.18560652,0.19604976,0.20948368,0.21816866,0.21997803,0.21700114,0.21228157,0.20631962,0.19767994,0.18508577,0.16878486,0.15084909,0.13411175,0.12197287,0.11812234,0.12505327,0.1417782,0.16241236,0.1796511,0.18914175,0.19219466,0.19285141,0.19394083,0.19517863,0.19469352,0.1917038,0.18733682,0.18389338,0.18259645,0.1825872,0.18079562,0.17402871,0.16116677,0.14517383,0.13236411,0.12886743,0.13626276,0.14943616,0.1598617,0.16095187,0.15257223,0.13999455,0.1296274,0.124653995,0.12453914,0.12799163,0.13515988,0.14695007,0.16159517,0.17422597,0.17947294,0.17592259,0.16655447,0.15617163,0.14784844,0.14193408,0.13717629,0.13234149,0.12765126,0.12487626,0.12681122,0.13458197,0.14614946,0.15594304,0.15908976,0.15550984,0.15084265,0.15145028,0.15833862,0.16745763,0.1754918,0.18405777,0.19700228,0.21369308,0.2293368,0.23935746,0.24518014,0.25098655,0.2588593,0.26551142,0.26610538,0.25897872,0.2473716,0.23614335,0.22802247,0.22273843,0.21909983,0.2163711,0.21346188,0.20822352,0.19969095,0.19086838,0.18816096,0.19547676,0.21006699,0.22404568,0.23141362,0.23185474,0.228487,0.22309645,0.21481405,0.20375235,0.19260617,0.18529348,0.18211468,0.18020044,0.17670675,0.17256062,0.17073746,0.17163706,0.17176966,0.16710816,0.15814053,0.15012908,0.14836483,0.15432973,0.16531967,0.17784947,0.18900996,0.19633682,0.19829671,0.19557463,0.19241208,0.19316046,0.19969653,0.20931506,0.21846806,0.22501798,0.22967124,0.23347382,0.23604308,0.23554957,0.22994293,0.21936925,0.2064342,0.19588558,0.19135046,0.19345139,0.19966596,0.20686863,0.21344326,0.21927685,0.22504087,0.23069906,0.235202,0.23564927,0.22959983,0.21736078,0.20393898,0.19547087,0.19484733,0.1996768,0.20593111,0.2116894,0.21740979,0.22249888,0.22446604,0.22088163,0.21311587,0.20463361,0.19847386,0.19404764,0.19103329,0.19118595,0.19809203,0.21013933,0.2190711,0.21623492,0.2022829,0.18837945,0.18542773,0.19466107,0.20724656,0.21433078,0.21302275,0.2059601,0.19613785,0.18549769,0.17645949,0.17219798,0.17473944,0.18172254,0.18857409,0.19121385,0.1899302,0.18708576,0.1855347,0.18603326,0.18876301,0.19334672,0.19959532,0.20627744,0.2120785,0.21613264,0.21951641,0.22360678,0.22867392,0.23181914,0.22985071,0.22159158,0.21062054,0.20161681,0.19808163,0.20025103,0.20745303,0.21828566,0.23033267,0.23966557,0.2434029,0.24123198,0.23583412,0.2293393,0.2231097,0.21651995,0.20946239,0.20112346,0.19110076,0.17870438,0.16495317,0.1530335,0.14790846,0.15385358,0.17335548,0.20842262,0.26131275,0.3295947,0.4009504,0.45494163,0.4772973,0.46976706,0.4483135,0.4281102,0.4157598,0.4116851,0.41790307,0.4371235,0.46596885,0.4924685,0.5034074,0.4948537,0.4726738,0.44648376,0.4215583,0.39931867,0.37820694,0.35618353,0.33107024,0.30294037,0.27472904,0.25082716,0.23403163,0.22354676,0.21492068,0.20293641,0.18603458,0.16956542,0.16311865,0.17325145,0.1975448,0.22601664,0.24846108,0.26035964,0.2632507,0.26077232,0.2556924,0.24946035,0.24322526,0.23830731,0.23566817,0.2352823,0.23580892,0.23532605,0.2323633,0.2270754,0.22122197,0.21748912,0.21794681,0.22265254,0.22932953,0.2344445,0.23593117,0.23416717,0.23149355,0.22946076,0.2280531,0.22625549,0.22373676,0.22127919,0.22008534,0.22122018,0.22478525,0.2297321,0.23375557,0.23507603,0.23383617,0.23225921,0.23219918,0.23345424,0.23394291,0.2320895,0.22790773,0.22269548,0.21729194,0.21186507,0.20825766,0.21273856,0.23653948,0.2855104,0.35222626,0.41285965,0.44642413,0.44702664,0.42870435,0.40705642,0.39136603,0.38307932,0.3867133,0.4069482,0.44231454,0.4775784,0.49374256,0.48109686,0.44679007,0.40614113,0.37050512,0.34274837,0.3212832,0.30557922,0.29576907,0.290483,0.285784,0.27784887,0.26574197,0.25104,0.23560114,0.21895598,0.20121211,0.18544202,0.17784344,0.18081093,0.1889442,0.19271266,0.18869378,0.18402044,0.18974997,0.20968747,0.23703654,0.2607297,0.27387786,0.2759098,0.26934934,0.25657234,0.23951413,0.22131318,0.20639934,0.19903088,0.20053141,0.2087378,0.2191369,0.22749387,0.2310401,0.2287205,0.22161536,0.21347873,0.20985597,0.21448453,0.2260019,0.23865515,0.24630262,0.24671976,0.2415182,0.23418204,0.2272625,0.22217639,0.21932228,0.21833847,0.21775138,0.21568704,0.21200065,0.20899107,0.209818,0.21487741,0.22165377,0.2267635,0.22937407,0.23046583,0.23300779,0.24122111,0.26268563,0.3022116,0.35661444,0.40979496,0.444057,0.45074716,0.43712965,0.4161786,0.39826944,0.38734666,0.3869144,0.39958802,0.42313167,0.44635573,0.4557805,0.44647965,0.4251314,0.4037585,0.38891375,0.38052237,0.3742974,0.36693236,0.35586342,0.33970532,0.31771812,0.29152557,0.264823,0.24286582,0.2295012,0.22572935,0.22919923,0.23564072,0.24075226,0.24150132,0.23767538,0.23131819,0.22574677,0.22254562,0.22015537,0.21440326,0.20213573,0.18493252,0.1694393,0.16315438,0.16901982,0.18322663,0.19876307,0.21027903,0.21696834,0.22067268,0.22319508,0.22499688,0.22622831,0.22764595,0.2296104,0.23034967,0.22645648,0.21659009,0.20481639,0.1975131,0.1974432,0.20019245,0.20128347,0.20083745,0.20386349,0.21023719,0.2148894,0.21296324,0.20860295,0.21070017,0.22405827,0.24445851,0.26284316,0.2731398,0.27435282,0.2691604,0.26070416,0.2521338,0.24564725,0.24144332,0.23859818,0.23857464,0.249596,0.28037977,0.33150777,0.38630354,0.42338482,0.4290186,0.40926325,0.37795794,0.34819558,0.32524633,0.31419685,0.32090542,0.34737906,0.38450423,0.4148526,0.42586896,0.41843525,0.40373966,0.39118776,0.38238597,0.37380388,0.3626223,0.34863052,0.3326051,0.3142266,0.29253134,0.26804593,0.24502252,0.22974296,0.22569257,0.2300567,0.2359732,0.23831312,0.2369029,0.2347172,0.23429401,0.23639701,0.24106441,0.24837677,0.2574209,0.26523855,0.2676543,0.26231351,0.250125,0.23427604,0.21762322,0.20249832,0.19198449,0.18956251,0.19637443,0.20823558,0.21821499,0.22147293,0.21972191,0.21859159,0.2226072,0.23104532,0.23964047,0.24441151,0.24457164,0.24179868,0.23817258,0.23432565,0.2298271,0.2242983,0.21870376,0.21464281,0.21303211,0.21257584,0.20995657,0.20127298,0.1851737,0.16544802,0.15050454,0.14778282,0.1575103,0.17145343,0.17913496,0.17511171,0.16147555,0.14556862,0.1384598,0.15473306,0.20775533,0.2964804,0.3979465,0.47516954,0.50371486,0.4857117,0.44536504,0.4054382,0.3765655,0.3582315,0.34787834,0.34293243,0.33994988,0.33504704,0.32622707,0.3148844,0.3038111,0.29549423,0.29045096,0.28837898,0.28818122,0.2891401,0.29035366,0.29136646,0.29183623,0.2915841,0.29022232,0.28726265,0.28260496,0.27683455,0.2712079,0.26714277,0.26547995,0.2657446,0.26629403,0.26554695,0.26364186,0.2623686,0.2635131,0.26641855,0.26766416,0.26251483,0.24837029,0.22727972,0.20724724,0.19789003,0.20443541,0.22183643,0.23883152,0.24585034,0.24255186,0.23545825,0.23123021,0.23159628,0.23376893,0.23483197,0.23425394,0.23430438,0.23696887,0.24215953,0.24753726,0.2510092,0.25219727,0.25266626,0.25418052,0.257916,0.26324895,0.26828274,0.26934758,0.26291892,0.24752064,0.22705871,0.21014857,0.20484526,0.21256165,0.22630167,0.23782007,0.24275708,0.24265666,0.23948646,0.23681684,0.24247134,0.27056432,0.32889894,0.4082806,0.4813368,0.52402705,0.53051275,0.515653,0.4973307,0.48569325,0.4807699,0.47894844,0.4766524,0.471771,0.46462372,0.46033823,0.467813,0.49339947,0.52992487,0.55815303,0.55892235,0.5335528,0.49956456,0.47726285,0.46848902,0.46393457,0.45255172,0.43441558,0.41531858,0.40221885,0.40017298,0.41340256,0.44542584,0.49201977,0.53965414,0.56869656,0.5694587,0.54733133,0.519259,0.49777827,0.48603734,0.47960687,0.4743961,0.468541,0.46169606,0.4552234,0.45319977,0.46363044,0.48989353,0.52569693,0.55368525,0.5626879,0.556601,0.551743,0.5561462,0.5615316,0.55246663,0.52429324,0.48703566,0.45515963,0.43656728,0.43139848,0.43706933,0.44994542,0.46506318,0.47539553,0.47673312,0.46973693,0.459897,0.45237502,0.4493002,0.44952485,0.45070088,0.45074093,0.44823647,0.4427266,0.43671393,0.43614897,0.4501655,0.4811052,0.5206813,0.5505221,0.5615297,0.5612588,0.5669883,0.5838656,0.5975129,0.590655,0.5598169,0.52002877,0.48699018,0.4674201,0.45688173,0.4496089,0.44294047,0.4379768,0.43674663,0.44131303,0.45372042,0.4756852,0.5033198,0.5276787,0.5371581,0.5308437,0.51535666,0.5014273,0.48948455,0.4763132,0.4583068,0.43938088,0.42406845,0.41505444,0.41202453,0.41711894,0.43611273,0.47233585,0.5180114,0.55421275,0.5643068,0.5482283,0.52155167,0.5016493,0.4933016,0.4907203,0.48526403,0.47455075,0.46017823,0.44606408,0.4364872,0.4383583,0.45764804,0.4918573,0.5266104,0.54523396,0.54447216,0.53775024,0.5395693,0.5496966,0.55300826,0.5377781,0.50566244,0.46945715,0.4403021,0.42313877,0.41888842,0.4259293,0.44012597,0.45274928,0.45637128,0.4482856,0.4327594,0.4156349,0.4009216,0.38959494,0.38207182,0.37968588,0.38391066,0.3944277,0.40843937,0.42267632,0.43573293,0.44742742,0.457199,0.46356523,0.46885633,0.47977963,0.50293714,0.5341785,0.5582962,0.55921906,0.5351107,0.4992442,0.46859217,0.45058227,0.44202062,0.43643847,0.43034327,0.42327392,0.41595575,0.41105917,0.4158163,0.43892094,0.48090747,0.52730423,0.5551221,0.5522148,0.5263588,0.49785686,0.47923064,0.469148,0.45944357,0.4467084,0.43377817,0.4237406,0.41853926,0.42096272,0.43893453,0.47732648,0.52986693,0.57561105,0.5942292,0.58079076,0.5489276,0.5173383,0.49598202,0.48482135,0.47904333,0.4754201,0.4716612,0.46778107,0.46668074,0.4757737,0.50116324,0.5397007,0.57585734,0.5922144,0.58534855,0.5696616,0.56236297,0.56619215,0.56708956,0.5517008,0.51910096,0.48195493,0.45260778,0.4373379,0.4351083,0.44292936,0.45652494,0.47071353,0.4798406,0.48127186,0.47635272,0.46906245,0.46194363,0.4554051,0.44911477,0.4439982,0.44181764,0.4431999,0.44743398,0.45427278,0.4659777,0.48517418,0.50906515,0.5282698,0.5337271,0.5284805,0.5264819,0.5392199,0.56185776,0.57711744,0.572524,0.5494419,0.5193743,0.490671,0.4670765,0.44884643,0.4376826,0.43364593,0.4355389,0.44127366,0.45211956,0.47188362,0.5016108,0.53289074,0.5503358,0.5444029,0.52154315,0.49841285,0.48613942,0.48120186,0.47394612,0.45965442,0.44298482,0.4303216,0.425319,0.42750797,0.43605652,0.44834796,0.4599513,0.46540877,0.46600834,0.471848,0.49519047,0.53478235,0.5718947,0.5826604,0.5601619,0.51859033,0.48092258,0.45911625,0.45197377,0.45199022,0.45502153,0.4585202,0.45930064,0.45277548,0.4387274,0.4228251,0.41309276,0.41297635,0.41988564,0.43133864,0.4496024,0.47777033,0.51060486,0.53300005,0.5331474,0.5136644,0.48932984,0.47043514,0.45491293,0.43778995,0.42389044,0.4264141,0.44838604,0.47537264,0.48567066,0.47375706,0.45140597,0.4352974,0.42690024,0.41938162,0.40865174,0.40543914,0.420143,0.45199418,0.4844445,0.5057966,0.51852757,0.5352457,0.5584101,0.5754474,0.5719962,0.5473668,0.5157361,0.4916936,0.4798251,0.47534442,0.47122565,0.46488655,0.4563336,0.44868672,0.44570386,0.45421362,0.47710785,0.50830865,0.53049535,0.52883536,0.50435793,0.47401348,0.45511353,0.45021704,0.45130876,0.44967768,0.4456054,0.4416773,0.44071475,0.443132,0.45411053,0.47936344,0.5190513,0.5588896,0.578332,0.56595564,0.5298271,0.48976925,0.46094438,0.44549215,0.4374523,0.43189433,0.42939103,0.43180987,0.439446,0.45035413,0.46555153,0.48719868,0.51433444,0.53876597,0.5527786,0.5577366,0.56161636,0.56777495,0.5672242,0.55005676,0.5160147,0.47748208,0.4463557,0.42788073,0.42131543,0.42632473,0.440828,0.4582956,0.46767128,0.46322784,0.4486774,0.43522337,0.42995012,0.43155015,0.43239012,0.42775872,0.41892314,0.41154826,0.4089547,0.41258729,0.4229884,0.44413444,0.4750661,0.5079517,0.5279506,0.53040475,0.5249467,0.5272843,0.54079384,0.55312234,0.55259395,0.5386122,0.5202298,0.50149465,0.48069334,0.45593342,0.43080008,0.41082847,0.39861736,0.394315,0.39956412,0.41880456,0.45452747,0.49883685,0.5349381,0.54640776,0.5337196,0.5097982,0.49067426,0.4782773,0.46833315,0.45555273,0.44251454,0.43186024,0.42511484,0.42289373,0.4300984,0.45366725,0.49328646,0.53533834,0.55778104,0.54842067,0.51393014,0.47479376,0.44607577,0.42938173,0.41719303,0.40488958,0.39482966,0.39157507,0.39723635,0.41088235,0.4336531,0.46617985,0.50419587,0.53504443,0.54860395,0.54726535,0.5441999,0.54750997,0.550514,0.54036623,0.51375633,0.48101154,0.4560016,0.4446436,0.44481763,0.45158458,0.4609274,0.4685661,0.4694198,0.46117768,0.44698203,0.43412384,0.42832685,0.42973793,0.43468356,0.439051,0.44165823,0.44228563,0.44100618,0.43718398,0.4321904,0.4290979,0.4307227,0.4360383,0.44195247,0.44837555,0.4622333,0.4900845,0.52957755,0.5648129,0.5798721,0.56922585,0.54254705,0.5128539,0.48908666,0.47312048,0.464016,0.4597946,0.4575502,0.4544274,0.450609,0.45192388,0.46671414,0.49658635,0.5312986,0.55312663,0.5526739,0.5342605,0.5121892,0.49565783,0.48626542,0.47958732,0.47294816,0.4653479,0.4579884,0.45371804,0.4580736,0.4774743,0.51235074,0.55318797,0.5817999,0.5852482,0.56381446,0.53181285,0.5039471,0.48771736,0.48138142,0.48049012,0.4811195,0.48107418,0.4798447,0.4798176,0.48660946,0.50399536,0.5277203,0.5452531,0.5470337,0.53745586,0.53149414,0.53801817,0.5486571,0.5463846,0.5240238,0.49113607,0.46394882,0.45062664,0.44872233,0.45218834,0.45778,0.46427453,0.4687629,0.4676226,0.45957014,0.4479315,0.43749347,0.43179044,0.4310437,0.43306026,0.43375528,0.42999375,0.4218631,0.41436532,0.41451028,0.4282403,0.45588157,0.49105787,0.52249813,0.5419671,0.55122876,0.55898553,0.5699772,0.57687026,0.5675178,0.53833807,0.49892518,0.46372998,0.4388447,0.42016813,0.39870214,0.3703395,0.3375492,0.30716762,0.28445753,0.27103218,0.2645757,0.26157042,0.25845745,0.2537848,0.24796654,0.24318123,0.24096553,0.24102159,0.24115068,0.23874442,0.23301637,0.22530265,0.21854925,0.21452864,0.21338986,0.21373619,0.21483038,0.2162504,0.21759649,0.21706945,0.21270822,0.20343827,0.19064485,0.1774007,0.16728133,0.16327013,0.16754633,0.18099801,0.20115317,0.22159696,0.23393989,0.2335964,0.22178239,0.20415263,0.18458629,0.1646427,0.14532126,0.13115428,0.12701912,0.1336286,0.1454325,0.15647078,0.16431211,0.16932674,0.1691478,0.16163601,0.15004855,0.14555325,0.15648879,0.17966558,0.20006035,0.20481037,0.19339788,0.17907704,0.17636485,0.19090791,0.21604176,0.24034917,0.2552253,0.25785625,0.24881041,0.22830753,0.19652385,0.15544528,0.11209577,0.07611824,0.05629647,0.055446763,0.071841694,0.100108266,0.13357283,0.16172071,0.17339198,0.16181473,0.13171645,0.09663122,0.07091073,0.060884107,0.064611435,0.07400293,0.08118144,0.080914974,0.07770636,0.08196372,0.10352465,0.13846011,0.17014675,0.18011953,0.16213477,0.12525435,0.08486736,0.0538352,0.03867291,0.04297589,0.06729842,0.107889265,0.15425408,0.19452818,0.22066219,0.23277704,0.23504956,0.23257114,0.22786987,0.22265172,0.21626389,0.20684968,0.19121975,0.171283,0.15408444,0.14828189,0.1542484,0.1637915,0.1686756,0.16963416,0.17668264,0.19706655,0.22915609,0.26084927,0.28155613,0.2867027,0.2812213,0.27170202,0.2638761,0.2592385,0.25802946,0.25884303,0.26035893,0.26081136,0.26064554,0.26156738,0.26614702,0.27374104,0.28164005,0.28577945,0.28408125,0.27531025,0.25987378,0.24090098,0.22613876,0.22460939,0.24025202,0.2673603,0.29446658,0.31202933,0.31873477,0.3192549,0.3200858,0.32710388,0.34723726,0.38721326,0.4453077,0.5068224,0.55004853,0.5653398,0.56299144,0.5618995,0.56822747,0.56865877,0.54812527,0.50643295,0.46085313,0.42765763,0.41091967,0.40208888,0.39125594,0.37355378,0.35005116,0.3253096,0.30654237,0.3029784,0.32039142,0.3547018,0.3893392,0.40653983,0.39875898,0.3738918,0.34382954,0.31561735,0.2914573,0.27850163,0.290758,0.3359361,0.40341553,0.46738386,0.50977606,0.53300315,0.551675,0.5714972,0.5819735,0.5710973,0.5393545,0.50120896,0.46977827,0.44790354,0.42952904,0.4097767,0.39044678,0.3768969,0.37117466,0.3687558,0.36224592,0.34747222,0.32629034,0.30582345,0.29744327,0.3142176,0.36501944,0.4436495,0.5296927,0.59660715,0.63095933,0.6320205,0.6107772,0.57708263,0.5444543,0.52511716,0.5293112,0.55254054,0.57899016,0.5903812,0.5847189,0.5744626,0.57371813,0.58136517,0.5847483,0.5748518,0.5548587,0.5346973,0.51925427,0.5067457,0.49413303,0.48150083,0.47135493,0.4646858,0.4601805,0.45472774,0.44647512,0.4366671,0.4299849,0.43119907,0.4435993,0.46822414,0.5036087,0.5410364,0.5645552,0.5591428,0.5240577,0.4743022,0.42944077,0.4003779,0.38789824,0.38957277,0.4028306,0.42345643,0.442439,0.45120606,0.44646272,0.43277323,0.41750774,0.40601444,0.39970008,0.39673936,0.39375553,0.38536403,0.36663833,0.33473626,0.29295903,0.2483948,0.20987271,0.18331933,0.17423731,0.19009645,0.23954792,0.32290873,0.4213798,0.5033892,0.5431522,0.54307276,0.5255222,0.5141394,0.5113353,0.50901914,0.5013276,0.49596718,0.49929443,0.50791794,0.5079744,0.49141026,0.4614991,0.4295783,0.4046079,0.3913556,0.39231026,0.40638897,0.42523643,0.43290225,0.4159976,0.37278584,0.31481308,0.25729918,0.21032488,0.17654848,0.15598923,0.14987619,0.15977831,0.18352962,0.21332116,0.23901309,0.2536151,0.25623965,0.25049153,0.24105357,0.23247981,0.22900285,0.23428552,0.24842532,0.26682445,0.28165695,0.28692904,0.2815759,0.2694237,0.2560341,0.24622111,0.24245715,0.24503434,0.25228715,0.26197228,0.27176034,0.27981952,0.28498313,0.28735027,0.28867507,0.29084858,0.2944554,0.2973574,0.29657683,0.2900962,0.27871916,0.26536015,0.25377214,0.24715753,0.24662828,0.2505944,0.25476614,0.25552002,0.2524244,0.249237,0.25019088,0.2568085,0.26662818,0.27513003,0.2785063,0.2752036,0.26700547,0.25726387,0.24950548,0.245017,0.24391676,0.24580085,0.25086856,0.25828314,0.26582834,0.27040198,0.2705696,0.26723996,0.26300678,0.25997913,0.2590644,0.25994954,0.26192987,0.263968,0.26499116,0.26395544,0.26050732,0.25504908,0.24867387,0.24261163,0.23767094,0.23392604,0.2306088,0.22718996,0.22381647,0.22145425,0.22002983,0.2185456,0.21586724,0.21288396,0.2111045,0.21087928,0.21046887,0.20884643,0.2073409,0.20817779,0.2114494,0.21530057,0.2197845,0.22826369,0.24439432,0.26668477,0.28856304,0.30278555,0.3064077,0.30132535,0.29148138,0.28059515,0.2711487,0.2648414,0.26272342,0.26487797,0.2704902,0.27739397,0.2834451,0.28669158,0.28660747,0.2829906,0.27672625,0.26960686,0.26493856,0.26520827,0.27010486,0.27612147,0.27911034,0.27746832,0.2726188,0.2677709,0.2648432,0.26332915,0.2602708,0.2527338,0.24008542,0.22504415,0.21260017,0.20741439,0.21134818,0.22216265,0.23441851,0.24258442,0.24384528,0.23976146,0.23438866,0.23202594,0.2340561,0.23893277,0.24306841,0.24402376,0.2417645,0.2386843,0.23741649,0.2387364,0.24095939,0.24094494,0.23693873,0.23000407,0.22344808,0.22015081,0.22035046,0.2222725,0.22322524,0.2216207,0.21699922,0.21080865,0.20563745,0.20422323,0.20803261,0.21649194,0.22744125,0.23750667,0.24358748,0.24389382,0.23908468,0.23142906,0.22356313,0.21708433,0.21213774,0.2077943,0.20274611,0.19722287,0.19353549,0.19581896,0.20622687,0.22281112,0.23926806,0.2495807,0.2515565,0.24791902,0.24271049,0.2385342,0.23567866,0.23474662,0.2371407,0.24411245,0.25370952,0.26151964,0.2635807,0.2599008,0.25437543,0.2514747,0.253431,0.2591449,0.26620862,0.27201757,0.27502164,0.2741619,0.2697359,0.26259628,0.25428852,0.24521627,0.23584561,0.22679883,0.22024047,0.21781445,0.219671,0.22360826,0.22685517,0.22754006,0.2256674,0.22243476,0.21933924,0.21701866,0.21547271,0.21412398,0.21304601,0.21252741,0.21354233,0.21627748,0.22051401,0.2245158,0.22635503,0.22388683,0.21680349,0.20647483,0.19621237,0.18877335,0.18543027,0.18484847,0.18494081,0.18378468,0.18142372,0.17929567,0.17976177,0.18424052,0.19269584,0.20359743,0.21500434,0.22502822,0.23230474,0.23575,0.23493044,0.22974479,0.22096485,0.20998566,0.19935258,0.19168137,0.18885298,0.19047332,0.19460844,0.19898385,0.20237623,0.20477246,0.20697194,0.21116926,0.21923025,0.23141436,0.24399753,0.2525201,0.25445047,0.25152683,0.24704915,0.2435152,0.2416415,0.24101888,0.24132955,0.24243306,0.24488539,0.24891408,0.25410047,0.25880492,0.26155186,0.26145914,0.25888622,0.25453773,0.24998003,0.2465346,0.2450562,0.24420924,0.24233544,0.23837541,0.23399282,0.23114683,0.23097713,0.23202217,0.2321337,0.22979887,0.22533405,0.22048463,0.21701683,0.2161669,0.21770893,0.22079618,0.22412999,0.22705005,0.22951327,0.23174,0.23391981,0.23587812,0.23757964,0.23872197,0.23921265,0.23926993,0.2400568,0.24284597,0.24787576,0.25343868,0.25686157,0.25643113,0.25259885,0.24752651,0.24314034,0.24014683,0.23781884,0.23518616,0.23169911,0.22777438,0.22441775,0.22249083,0.22195567,0.22209139,0.22207,0.22160596,0.22042161,0.21829744,0.21513768,0.21154295,0.20834732,0.2058477,0.20388384,0.20232733,0.20173067,0.20228845,0.20364869,0.20836584,0.2254019,0.27014622,0.3481615,0.44513664,0.52578884,0.5639224,0.55826473,0.5338097,0.51253986,0.50052285,0.48911285,0.47162262,0.4486228,0.42563692,0.40808418,0.40193117,0.41427323,0.44877362,0.49785772,0.54233545,0.56323576,0.5558025,0.5294535,0.49585032,0.4576881,0.41313457,0.36394405,0.31861165,0.28437588,0.261191,0.24298686,0.22540097,0.21131259,0.20820177,0.22034138,0.24295221,0.2653294,0.27840587,0.28016624,0.27403882,0.26480028,0.25567716,0.24802946,0.2417102,0.23581219,0.22954865,0.22324055,0.21781333,0.21381153,0.2108,0.20862146,0.20892711,0.21479253,0.22839113,0.24832387,0.26961517,0.28575674,0.29218665,0.28828833,0.27771235,0.26668403,0.26226988,0.27041247,0.29244816,0.32154974,0.34379637,0.34643885,0.3277682,0.29765198,0.26987436,0.25195023,0.24436097,0.24367215,0.24710822,0.25174952,0.2543781,0.25174296,0.24347746,0.23204774,0.22138824,0.21325706,0.20911865,0.21337529,0.23732619,0.28940642,0.36422762,0.43677846,0.48028252,0.48528102,0.46561423,0.44283736,0.4285581,0.42217052,0.4174337,0.4121153,0.40697968,0.40490428,0.40881202,0.42343244,0.45305395,0.49367437,0.53063375,0.545013,0.53182954,0.5018526,0.47148654,0.44468522,0.41496754,0.37705946,0.3359551,0.30129158,0.27696383,0.25802568,0.23671658,0.21014893,0.18252502,0.16020451,0.14654748,0.14148496,0.14509416,0.15942103,0.18446589,0.21499377,0.24140604,0.25641987,0.2589338,0.2532988,0.24435408,0.23457904,0.22450177,0.21540654,0.2096671,0.20952886,0.21467717,0.2229722,0.23102196,0.23611079,0.23602451,0.23048608,0.22109471,0.21149985,0.20539111,0.2056923,0.21478361,0.2354608,0.26894775,0.30934143,0.34303626,0.35737598,0.35569212,0.358857,0.38625517,0.4337016,0.470873,0.4694805,0.42606366,0.3643675,0.31026146,0.27670714,0.2638418,0.27073708,0.29482517,0.3273094,0.35192743,0.360963,0.36416647,0.3833716,0.42827716,0.48506323,0.5261109,0.53405505,0.5124676,0.47951278,0.4514134,0.43598416,0.431144,0.43220738,0.43354475,0.43373963,0.43382064,0.43953073,0.45661056,0.48751172,0.52411884,0.55173945,0.5578792,0.5428875,0.51442873,0.4793028,0.43678546,0.38828632,0.34020975,0.30300775,0.28028658,0.2689828,0.26340342,0.26125324,0.26230252,0.26506135,0.26598182,0.26217505,0.2539737,0.24389233,0.23315217,0.22058962,0.2052982,0.19134313,0.1872689,0.20055795,0.22975628,0.26336643,0.2862319,0.2896279,0.27610162,0.25634065,0.24130027,0.23610198,0.23884039,0.24357475,0.24419922,0.23721783,0.22251028,0.20336793,0.18517351,0.17317481,0.17097883,0.18132578,0.20789753,0.2495776,0.29553485,0.32452822,0.32229707,0.29202354,0.25429347,0.22817172,0.22043099,0.22627707,0.23873048,0.2542209,0.270478,0.28599107,0.30172208,0.3253565,0.36702263,0.42871442,0.49876046,0.55714154,0.59137577,0.5995011,0.58896446,0.56627005,0.5407099,0.52223516,0.52092,0.5347233,0.5496835,0.5475771,0.52523714,0.49656788,0.48140356,0.48589197,0.5017972,0.5185564,0.5354406,0.5553581,0.57386833,0.5761208,0.5534214,0.5144389,0.48104605,0.46784627,0.47168577,0.48122844,0.4917905,0.5080913,0.53108555,0.55078214,0.5541913,0.54014647,0.5199558,0.5060171,0.4997826,0.49802676,0.50038034,0.51331925,0.5369826,0.5617776,0.5722592,0.5643385,0.5455665,0.5275321,0.51215726,0.4965416,0.48209608,0.47903797,0.49334106,0.51655746,0.52861637,0.5184533,0.49367547,0.47382978,0.46941042,0.47631744,0.48553932,0.49689135,0.51530385,0.5390158,0.5548007,0.5516092,0.53250504,0.51146346,0.4979297,0.4897792,0.4828821,0.48029897,0.48970285,0.510319,0.5298715,0.5345849,0.5232439,0.506465,0.49558344,0.4910448,0.48791507,0.48463747,0.48800734,0.50125706,0.51789665,0.52456766,0.5172809,0.50564754,0.5022108,0.50768155,0.5081562,0.49209592,0.45979634,0.42444932,0.3965576,0.3802636,0.37392512,0.37771127,0.39018002,0.40744814,0.4206066,0.42518294,0.42113504,0.41491368,0.4107063,0.4113277,0.41670573,0.42672864,0.43799034,0.4444096,0.43914858,0.4219208,0.3997415,0.38283348,0.37649918,0.37889776,0.38648012,0.39797297,0.4142305,0.43180785,0.44296637,0.44159088,0.42977366,0.4166236,0.40918347,0.4075468,0.40589342,0.39969325,0.386572,0.365451,0.3341283,0.29411414,0.2533035,0.22392428,0.21330546,0.21833771,0.22932033,0.23838203,0.24387139,0.24680208,0.24691617,0.24325816,0.2371077,0.23233181,0.23173302,0.23469867,0.23835003,0.24060984,0.24179055,0.2434973,0.24749868,0.25467265,0.2649407,0.27627864,0.285211,0.287364,0.2800224,0.2635148,0.24259306,0.22461255,0.21595526,0.21816753,0.22729512,0.23724066,0.24323487,0.24348803,0.23833887,0.23188339,0.2340898,0.26031432,0.3191879,0.40160084,0.47917497,0.52543575,0.5330264,0.5171116,0.4968643,0.48264387,0.4741591,0.46851388,0.46365324,0.4582726,0.45132828,0.445374,0.4469316,0.46302688,0.491129,0.51867723,0.53004223,0.5233485,0.5092474,0.50101423,0.49833727,0.49258685,0.47757113,0.45757222,0.44060588,0.43069553,0.42850757,0.43550315,0.4560955,0.4882973,0.5212469,0.5366903,0.5264129,0.4959675,0.46315643,0.4409856,0.43293837,0.4331236,0.43492088,0.43439603,0.43063748,0.42531583,0.42329833,0.43340388,0.4616859,0.503537,0.54165685,0.5597296,0.55692285,0.54822546,0.54746336,0.55318904,0.5523388,0.53562814,0.50617486,0.47522953,0.45296487,0.44437945,0.45032534,0.46726313,0.48720884,0.49840584,0.4927076,0.47082102,0.44257244,0.41914234,0.40605184,0.4024087,0.4050831,0.41158748,0.41954398,0.42459652,0.42429256,0.42133632,0.42619243,0.44655693,0.4801109,0.512146,0.53055555,0.5358775,0.53910744,0.5463979,0.55072075,0.5406082,0.5134361,0.48000428,0.45451978,0.44401655,0.44552466,0.4514691,0.45625433,0.45832333,0.45933542,0.46254715,0.47255203,0.4930037,0.52127457,0.5462424,0.5544806,0.5434622,0.525024,0.5144357,0.515325,0.5175713,0.51093966,0.49469188,0.47733828,0.46527064,0.45970854,0.45938292,0.4668928,0.48561165,0.51260835,0.53510386,0.53933805,0.5216957,0.49172178,0.46263456,0.44202054,0.4298832,0.42373446,0.42198125,0.4239345,0.42912626,0.43882242,0.45732877,0.48773292,0.52506644,0.5544765,0.5623651,0.5491783,0.5312479,0.5240192,0.5282982,0.52997535,0.5176663,0.49207678,0.46430933,0.44443086,0.43746006,0.4447162,0.46416685,0.48879358,0.50648737,0.50760007,0.49182793,0.4688312,0.45054486,0.4427031,0.44310915,0.4453466,0.44519988,0.4422133,0.43871844,0.43718138,0.4394765,0.44790712,0.4614247,0.47579905,0.48247564,0.48095655,0.4791354,0.4909025,0.5165098,0.54171354,0.54566365,0.52353954,0.48778746,0.4586335,0.44523218,0.4441942,0.4459846,0.44500482,0.44059512,0.43450448,0.4294987,0.42995116,0.4417667,0.46503153,0.49128008,0.5059068,0.50304586,0.4898483,0.47980377,0.47810277,0.47770333,0.4706694,0.45598578,0.44124308,0.43165028,0.4289697,0.43329552,0.4489545,0.4787096,0.5165102,0.54519755,0.5487024,0.5247516,0.48690042,0.45304772,0.4332744,0.42790952,0.43153545,0.4388742,0.4454094,0.44964385,0.4532932,0.46217778,0.48144373,0.509388,0.5352647,0.5464578,0.54175067,0.5334144,0.5349803,0.54536265,0.54931027,0.5345674,0.5035328,0.47099805,0.44875434,0.44082192,0.44469345,0.45900115,0.48061106,0.5039056,0.5188446,0.5197951,0.507283,0.4885762,0.47002995,0.4557229,0.4472116,0.44463763,0.44640732,0.44885746,0.4495665,0.44982135,0.4553777,0.47217548,0.49740133,0.51826435,0.5195225,0.5026706,0.48683843,0.49258852,0.518457,0.54145867,0.54059243,0.5146009,0.48104748,0.45588323,0.44440654,0.44177344,0.4435854,0.44890535,0.4584016,0.471565,0.48666796,0.5045133,0.52432185,0.54145163,0.54597557,0.5347689,0.51707006,0.50751925,0.5112846,0.5173835,0.51385444,0.4977791,0.47884282,0.46491686,0.45880148,0.45857355,0.46399388,0.47410122,0.48458812,0.48805153,0.48264945,0.47593102,0.48109093,0.50076246,0.5229798,0.52710295,0.5054707,0.46661106,0.4298608,0.4063443,0.39838395,0.40191332,0.41573521,0.43559107,0.45363,0.4575616,0.44456044,0.4220593,0.4048058,0.3987991,0.40132585,0.40640903,0.4165214,0.43684056,0.46674547,0.4933296,0.50528,0.503382,0.5014356,0.50872445,0.5215332,0.52965623,0.53161687,0.5360501,0.548429,0.56081825,0.5593249,0.5404958,0.51710045,0.5050799,0.51014507,0.5246559,0.5413575,0.5579173,0.5756938,0.58854777,0.5881396,0.57243514,0.55319405,0.543221,0.5442236,0.5429311,0.5279547,0.499313,0.46958995,0.44843626,0.4372404,0.42987642,0.42280337,0.4171219,0.41596198,0.41984138,0.42771956,0.441372,0.4634304,0.49174857,0.5153852,0.52411085,0.51965326,0.5140631,0.5169639,0.522368,0.5185527,0.49918136,0.47299525,0.4516292,0.4418048,0.4416881,0.4495419,0.46708834,0.49442482,0.5231964,0.5374751,0.52801913,0.4991958,0.4670564,0.44425336,0.43492758,0.43488052,0.43880236,0.4428806,0.44579026,0.44968137,0.45920542,0.4811206,0.51523995,0.5525315,0.5750838,0.57394505,0.55502677,0.5378808,0.5342908,0.5411995,0.5434956,0.53221923,0.5090808,0.48414803,0.46500444,0.45582548,0.4577864,0.46934035,0.4833891,0.4881823,0.47622585,0.4507729,0.42468894,0.40944836,0.40729156,0.41181135,0.41546622,0.41554186,0.4143026,0.41510543,0.42096075,0.43432835,0.45869115,0.49179173,0.5233081,0.5370894,0.5277249,0.50833213,0.50081134,0.5142223,0.53451747,0.5410868,0.52616864,0.5002833,0.477429,0.4631133,0.45521748,0.45045137,0.44813934,0.44780913,0.44891468,0.45222795,0.4611727,0.47989783,0.5069515,0.5340927,0.5494202,0.5491409,0.53835994,0.52678657,0.51762915,0.50893,0.49857497,0.48841682,0.48110583,0.4758161,0.47101483,0.4685222,0.47566262,0.4959061,0.5227654,0.53945583,0.5341834,0.50869423,0.47805312,0.4564599,0.44916368,0.4524219,0.46017992,0.46829224,0.47467256,0.47872007,0.48223087,0.4895227,0.5050462,0.5268256,0.5468451,0.5563669,0.55682176,0.5569809,0.56322503,0.56971866,0.56414676,0.54148173,0.50875425,0.47959647,0.46178886,0.45686033,0.4622598,0.47633138,0.4945569,0.5094573,0.5126371,0.5025063,0.48443696,0.46728313,0.45576146,0.45036578,0.44865748,0.44899783,0.4499787,0.45093623,0.45272303,0.45835245,0.47190568,0.49177632,0.5104926,0.5172481,0.51193345,0.5052712,0.5115674,0.53026456,0.54573745,0.540662,0.5141079,0.48185647,0.46183667,0.4606904,0.47203287,0.48580804,0.49442682,0.49632052,0.49289787,0.48984405,0.4938619,0.511386,0.5394227,0.5669002,0.57909024,0.5731905,0.55777484,0.54576916,0.5398362,0.5339336,0.52171284,0.50399876,0.48651466,0.47311327,0.46555015,0.46551383,0.47754645,0.50140536,0.52889043,0.54337233,0.5351427,0.5072314,0.47581318,0.45464754,0.44866386,0.4530104,0.46126103,0.46900547,0.4747047,0.47838667,0.48286137,0.49349582,0.5153821,0.5449041,0.5696334,0.5752585,0.56208485,0.54442173,0.5383055,0.5425055,0.5408663,0.5197371,0.4826256,0.44655466,0.42487296,0.41942105,0.4242938,0.43579507,0.4521486,0.47028658,0.48350444,0.48871234,0.4877095,0.48625687,0.48591983,0.4856856,0.48309743,0.47893,0.47424746,0.47038046,0.46779582,0.4700166,0.4823896,0.50891024,0.54361385,0.5723688,0.5817323,0.57306784,0.55974674,0.55349326,0.55149984,0.54160494,0.5176228,0.48583105,0.45838627,0.44135323,0.43172896,0.42201635,0.40516898,0.37814155,0.34202322,0.30356053,0.27170888,0.25315502,0.24731185,0.24734636,0.24586038,0.2401609,0.23331803,0.22995128,0.2320625,0.23737346,0.24122511,0.23986739,0.2321579,0.22025977,0.20802253,0.1999386,0.19839942,0.20251207,0.20807576,0.2107899,0.20929152,0.20533133,0.20116188,0.19687323,0.19092393,0.18267041,0.17423852,0.1703192,0.17472076,0.1876366,0.20353891,0.21494979,0.21659018,0.20904829,0.19597162,0.18030596,0.16327454,0.14767955,0.13994116,0.1457802,0.16391481,0.18477635,0.19818133,0.2004757,0.19533198,0.18620254,0.17394154,0.15879886,0.14646746,0.14391746,0.15339439,0.16744454,0.17597783,0.17420103,0.16694857,0.16306365,0.16839135,0.18186735,0.19728203,0.20779558,0.20959212,0.20358728,0.19270448,0.17875855,0.16079007,0.13868757,0.11638311,0.10160341,0.10119044,0.11682278,0.14432235,0.17501307,0.19884725,0.2075239,0.19850248,0.17636235,0.15073769,0.1310764,0.121973336,0.12111008,0.121430516,0.11612678,0.10478756,0.095158495,0.09807407,0.11848962,0.14996503,0.17858018,0.19123875,0.1829008,0.15707761,0.123278864,0.09319059,0.07709813,0.079976976,0.09924001,0.12635462,0.15202028,0.17076828,0.1820672,0.18785132,0.18991935,0.18904634,0.18593703,0.18130201,0.17498493,0.1643252,0.14700459,0.12484613,0.10695738,0.10270712,0.11426047,0.13174659,0.14291458,0.14203943,0.13545297,0.13391908,0.14494061,0.16782196,0.19534402,0.21921001,0.23375243,0.23870344,0.23638748,0.22960025,0.21976669,0.20817953,0.19742934,0.19059075,0.1903582,0.19710396,0.20938872,0.2233082,0.23387115,0.23616934,0.22793181,0.20995204,0.1852948,0.15826689,0.13454716,0.12116155,0.12323431,0.14063899,0.16635145,0.19177449,0.21166535,0.22806722,0.2466293,0.27406144,0.31415436,0.3680879,0.4294026,0.48497263,0.518809,0.52742726,0.52332616,0.52532035,0.53827804,0.5476177,0.5353281,0.49775317,0.4502931,0.41074345,0.38718095,0.37448743,0.36468902,0.35197783,0.3344336,0.31124663,0.28503358,0.26441634,0.2604239,0.27825454,0.30803236,0.33170646,0.3327316,0.3088695,0.26802903,0.2243105,0.19167571,0.18525577,0.21716058,0.28674874,0.3748767,0.45132217,0.49717316,0.5156842,0.5234938,0.53052443,0.5311413,0.5170219,0.48695028,0.45138982,0.41925347,0.3947935,0.3751113,0.35799158,0.34303236,0.3325828,0.32741043,0.32504532,0.31983462,0.30676824,0.28467798,0.25855717,0.24008584,0.24542539,0.28709948,0.3617154,0.4477493,0.51569897,0.550323,0.5543874,0.5436302,0.5281779,0.5145764,0.50667477,0.51264054,0.5333348,0.5602336,0.5764761,0.57554644,0.56475836,0.5565141,0.5506146,0.5338169,0.49953696,0.45856977,0.4324417,0.42953506,0.43967226,0.4461476,0.44148204,0.4303068,0.41884062,0.4098877,0.40246442,0.39670405,0.39330935,0.3920171,0.39197144,0.39510405,0.40836942,0.4369624,0.47578177,0.5059657,0.5080516,0.47646293,0.4251121,0.37506273,0.34173563,0.32978272,0.33815274,0.36245194,0.39445332,0.42170537,0.43359706,0.42791596,0.41150752,0.39413658,0.38186637,0.3754256,0.37222576,0.36741307,0.35439134,0.32628533,0.28145573,0.22649889,0.17412327,0.13485245,0.11205816,0.10541633,0.1191442,0.16471423,0.24706618,0.3516022,0.44342363,0.49493012,0.5056756,0.50099725,0.5022316,0.50990313,0.5127493,0.50921065,0.51148194,0.5264831,0.5429558,0.5392006,0.5070781,0.45904493,0.41714227,0.39367476,0.3884815,0.39553478,0.40934512,0.42134535,0.41878793,0.39363813,0.35636318,0.33622155,0.35825348,0.42131495,0.49313438,0.5376315,0.536622,0.49853578,0.44418076,0.39322302,0.35811403,0.34217668,0.34187698,0.3476982,0.3500159,0.34684184,0.34641084,0.36095336,0.39089373,0.41946673,0.42299977,0.391479,0.33539912,0.27541175,0.22552748,0.18855621,0.16158493,0.14322542,0.13406764,0.13402621,0.14032851,0.14881907,0.15608092,0.1609686,0.16392165,0.16570742,0.16656077,0.16634433,0.16510004,0.16303106,0.16005854,0.15530045,0.14726193,0.13492464,0.11871043,0.10081234,0.08403974,0.070862204,0.062381312,0.058794115,0.05920403,0.06254513,0.06752344,0.07392381,0.08199004,0.09200299,0.102469765,0.11068139,0.11392215,0.11146843,0.10457934,0.09563471,0.08685598,0.07986492,0.0754166,0.07331004,0.07240013,0.07118648,0.06868206,0.06497231,0.060948092,0.057491776,0.05494045,0.053161073,0.05198498,0.051313177,0.0509889,0.050534423,0.04924546,0.046490822,0.04217514,0.036950223,0.031890552,0.027917905,0.025335943,0.02394188,0.023353005,0.023426421,0.024253286,0.026086837,0.02854116,0.030785814,0.031836078,0.03239469,0.034437772,0.04000615,0.048704162,0.05818489,0.066504024,0.074012965,0.08260014,0.09273362,0.102655165,0.10954529,0.1122024,0.11145607,0.1092133,0.10689181,0.10494556,0.10329863,0.10182194,0.10109029,0.10195652,0.105355375,0.11072188,0.11625791,0.11882821,0.1164555,0.10929984,0.10099903,0.095939405,0.09686932,0.10234848,0.10894167,0.11366423,0.11640224,0.11823729,0.11966234,0.11901019,0.11402595,0.10371699,0.08979836,0.07581019,0.06540272,0.0609096,0.063121445,0.071529366,0.084117465,0.09721918,0.10634401,0.108600594,0.10433608,0.0969286,0.09013621,0.08610082,0.08479255,0.08516761,0.08606703,0.08650001,0.08552722,0.08251468,0.077391356,0.070858575,0.0640587,0.05861038,0.056244474,0.0581218,0.06350381,0.06940662,0.07203668,0.069305874,0.062149376,0.05361654,0.046455946,0.041757625,0.039087497,0.038058445,0.03886004,0.041887607,0.0464481,0.050811913,0.053176787,0.05318978,0.051918168,0.05097963,0.051016036,0.051633965,0.05156836,0.050043285,0.047343288,0.04578939,0.04864602,0.058092862,0.07310074,0.089767374,0.104038745,0.11362931,0.1184096,0.11900743,0.11676543,0.1139139,0.11392952,0.119742155,0.13172211,0.14622132,0.15736806,0.16062474,0.15580337,0.14685887,0.13851665,0.1331588,0.130221,0.12819205,0.12664025,0.12583566,0.12578718,0.12549885,0.1240519,0.12073529,0.11489027,0.105787225,0.09416216,0.08309262,0.07738421,0.0804519,0.09223003,0.10831634,0.12242329,0.12921657,0.12693672,0.11731613,0.10383735,0.08978907,0.07732189,0.0678389,0.06238462,0.06173223,0.06578522,0.07294154,0.08033184,0.08470538,0.08407652,0.07856054,0.07059599,0.06360499,0.06023273,0.060843557,0.06361261,0.06583029,0.06535902,0.061417717,0.054739784,0.047392473,0.042053923,0.0408584,0.044238653,0.0508655,0.05851388,0.06550381,0.071055196,0.07479269,0.07581565,0.07308044,0.06658402,0.058346953,0.05167002,0.04915449,0.05089341,0.054619845,0.057690736,0.059373032,0.061111074,0.06508256,0.072448604,0.082834,0.09456063,0.105026074,0.11190215,0.11438224,0.114010684,0.113154896,0.11321095,0.11373493,0.11353556,0.11222079,0.11027103,0.10836684,0.106030114,0.102383286,0.096869804,0.090548225,0.085081905,0.08207765,0.082121335,0.0850543,0.08964152,0.09365106,0.094607085,0.09188477,0.08781951,0.08669516,0.09100118,0.0991399,0.10574287,0.10593001,0.098512314,0.08674198,0.075521134,0.06849583,0.06677067,0.06922922,0.07371048,0.07780857,0.079752244,0.07882315,0.075491734,0.07109564,0.06725094,0.06527767,0.06559291,0.06765814,0.070283175,0.07239161,0.07342854,0.07363704,0.07401505,0.0759887,0.080507025,0.086895324,0.092487454,0.093820095,0.088792436,0.078616194,0.06760007,0.061486766,0.06465777,0.078302555,0.0997473,0.12350658,0.14424293,0.15891327,0.16832025,0.1745454,0.17986643,0.18448746,0.18849145,0.19132495,0.19292928,0.1919967,0.18726422,0.17837648,0.16790076,0.159927,0.16018425,0.17577301,0.2168762,0.28702918,0.37543926,0.4527901,0.4925767,0.48793793,0.45818934,0.42782566,0.410859,0.40801308,0.4183919,0.4436452,0.4812281,0.5188281,0.5400941,0.5382529,0.51933336,0.4956622,0.47465217,0.45761934,0.441112,0.42079285,0.39223528,0.35476926,0.3124534,0.27290753,0.24181415,0.22048277,0.20576255,0.19314301,0.1796995,0.1662938,0.15754847,0.15775304,0.16702472,0.18050696,0.19278328,0.20171313,0.20807606,0.21300478,0.21596418,0.21654533,0.21504854,0.21283726,0.21100418,0.21064453,0.21268936,0.21668206,0.22011618,0.2194258,0.2135386,0.2051809,0.19960588,0.20085098,0.20913817,0.22099538,0.23131698,0.23661757,0.23595947,0.23075974,0.22309834,0.21547656,0.20988993,0.2072012,0.20650475,0.20701404,0.20956856,0.21567105,0.22438543,0.2312241,0.23222493,0.22770436,0.22260775,0.22116254,0.22376305,0.22704147,0.22784042,0.22490634,0.21898101,0.2110368,0.20380552,0.20409746,0.22495551,0.27669984,0.35605466,0.438574,0.494624,0.5080784,0.4888604,0.4583958,0.43491638,0.42515826,0.431991,0.4571694,0.49666277,0.53642815,0.5567646,0.54818046,0.5163921,0.4784622,0.44688347,0.42453483,0.40606633,0.38557723,0.35981628,0.32853708,0.29435375,0.26199093,0.23702218,0.22251946,0.21687467,0.21374148,0.20626938,0.19211929,0.17601062,0.16470401,0.16062598,0.15939032,0.15656556,0.15342921,0.15656875,0.16985668,0.18982814,0.20831303,0.21906741,0.22176851,0.21927355,0.21492273,0.20961736,0.20464748,0.20140547,0.20337363,0.2119171,0.22614217,0.24001151,0.24721943,0.24353959,0.23126249,0.2161907,0.2043789,0.19814678,0.19667883,0.1983778,0.20236385,0.20791887,0.21273793,0.21383977,0.20965028,0.2023458,0.1958987,0.19350058,0.1946628,0.19700813,0.19802476,0.1977839,0.19750446,0.19858088,0.20029835,0.20154999,0.201292,0.20010994,0.19831282,0.19765319,0.20334053,0.22644956,0.27722844,0.35392895,0.43644604,0.49552894,0.5124878,0.49027827,0.4492017,0.40976802,0.38559067,0.38201246,0.4030995,0.44429675,0.49229327,0.5233537,0.5238549,0.49487254,0.45505926,0.42010555,0.39767006,0.3828262,0.36822152,0.34674504,0.31645563,0.28001004,0.24435808,0.21624337,0.198851,0.19044064,0.18719119,0.18636322,0.18770738,0.19173394,0.19747241,0.2017202,0.20147441,0.19596541,0.18716778,0.17617399,0.16223337,0.14402996,0.12504564,0.113239445,0.116808355,0.13658483,0.1652654,0.19182424,0.20852709,0.21336591,0.20841742,0.19726609,0.18373168,0.17176068,0.16402079,0.16080864,0.15948366,0.1572851,0.15317897,0.14992367,0.14992242,0.15372749,0.15757275,0.15999328,0.16239792,0.16875194,0.17695533,0.18012862,0.17245094,0.15807104,0.14820923,0.15205024,0.16899712,0.19148958,0.211478,0.22548936,0.23290896,0.23447025,0.23078556,0.22297853,0.21153592,0.19647114,0.18107425,0.17704022,0.20260985,0.26782748,0.3598262,0.44471774,0.49077162,0.48992708,0.45882046,0.42089808,0.3921194,0.38021967,0.39171603,0.4286532,0.48198828,0.52814287,0.5451475,0.52736264,0.48933747,0.4504907,0.4200953,0.39543828,0.36902034,0.33817646,0.30514804,0.27480313,0.24934338,0.22852428,0.21199034,0.2020811,0.20200765,0.21181184,0.22673787,0.24032402,0.24825722,0.24995096,0.24689114,0.24155386,0.23646452,0.23402087,0.23508428,0.23883687,0.2430635,0.24560533,0.24426155,0.23726855,0.22407895,0.20737995,0.19275774,0.18576498,0.1879965,0.19604518,0.20429993,0.20906074,0.21045546,0.21109574,0.21336229,0.2183075,0.22569819,0.23448716,0.24230804,0.24652342,0.24582724,0.24160981,0.23648126,0.23220702,0.22896336,0.22636472,0.22434299,0.22226135,0.21820855,0.20982839,0.1971965,0.1845439,0.1785823,0.18381536,0.19873029,0.21603267,0.22705287,0.22619198,0.21320327,0.19284047,0.1758011,0.17854764,0.21906693,0.30235612,0.41045156,0.5062048,0.5589531,0.5633574,0.53904647,0.50938576,0.4864769,0.47122157,0.46158051,0.45684317,0.4564027,0.45785955,0.45863292,0.45748377,0.45769513,0.46398818,0.47849953,0.49526143,0.5044916,0.49909595,0.480077,0.45367372,0.42808592,0.41049513,0.4047948,0.40863398,0.41422877,0.41509828,0.41196278,0.41194645,0.41991842,0.43326405,0.4434844,0.4447439,0.4374392,0.42619303,0.41450107,0.4023802,0.38826874,0.36854675,0.3396611,0.29925358,0.25351244,0.21640682,0.20301974,0.21682836,0.24668641,0.2755774,0.2926068,0.29733098,0.293602,0.2840841,0.26963615,0.2533632,0.24038535,0.2351441,0.23748945,0.24452321,0.25269058,0.26038468,0.26643452,0.2702185,0.27191982,0.2735044,0.27697346,0.2818081,0.28381225,0.27714255,0.25854653,0.23150755,0.20615064,0.19403815,0.19979234,0.21846198,0.23947032,0.2547513,0.26122746,0.25920722,0.251536,0.24679917,0.26160562,0.30988204,0.3892257,0.47445902,0.5353367,0.5571234,0.5477292,0.52505964,0.5015481,0.48315907,0.47176173,0.46935582,0.47374606,0.48133397,0.4902874,0.5045609,0.5293142,0.5615769,0.587303,0.5894623,0.5651012,0.52901787,0.50202197,0.49262926,0.49376103,0.49384484,0.48721102,0.47601736,0.46438494,0.45708343,0.4589858,0.4757839,0.5077813,0.546091,0.573641,0.5778801,0.5596489,0.532069,0.50758946,0.4905673,0.4788634,0.47034526,0.46446416,0.46050477,0.4570723,0.45478287,0.45832375,0.47391215,0.50062436,0.5274256,0.5391713,0.53403825,0.5253152,0.52951884,0.5460613,0.55860716,0.55162805,0.52511233,0.4919596,0.46433917,0.4472177,0.4405496,0.44413385,0.45634687,0.47184324,0.48267958,0.48475373,0.4793587,0.47150454,0.4634827,0.45571554,0.4474225,0.4400554,0.43440843,0.43046153,0.42703092,0.42626515,0.43382815,0.45565096,0.4901096,0.5271249,0.5550661,0.57097393,0.5800596,0.5852544,0.5805256,0.5569831,0.51706403,0.47548532,0.4489646,0.44217622,0.4480264,0.45555937,0.45813787,0.45473078,0.447639,0.4414262,0.44200552,0.4545207,0.47792864,0.5027357,0.51604944,0.51286316,0.5009998,0.49359667,0.49607158,0.5024025,0.50330204,0.49582657,0.48412764,0.4737003,0.4675893,0.4677604,0.47783527,0.49958578,0.5279713,0.54997563,0.5542362,0.5405211,0.51920694,0.5019356,0.4917269,0.48549572,0.4786851,0.4713522,0.4653751,0.46259585,0.4637928,0.47093043,0.4880192,0.5149022,0.54359,0.5609533,0.5620098,0.55575234,0.55520195,0.56433654,0.57230264,0.5687199,0.5499153,0.523357,0.49559584,0.47323823,0.46000993,0.46111977,0.47589087,0.49795732,0.5139739,0.51547116,0.50155526,0.48124185,0.46299708,0.45165333,0.44638982,0.44586018,0.4492332,0.45559266,0.4627476,0.4682852,0.47301352,0.47910058,0.4878596,0.49523297,0.4986081,0.5005198,0.5107767,0.5324622,0.5559173,0.56172365,0.540429,0.50035286,0.46098867,0.43595293,0.425581,0.4229735,0.42112967,0.4172846,0.4098951,0.4008323,0.39616907,0.4068568,0.4387842,0.48556742,0.5284423,0.5509482,0.5509203,0.53869563,0.5255695,0.5127195,0.49745214,0.478004,0.45904598,0.4442067,0.43589094,0.43616197,0.4498904,0.47980896,0.51847357,0.54873496,0.5542948,0.53392035,0.5013977,0.47431222,0.46099773,0.45950568,0.46435997,0.47150972,0.4783816,0.48160315,0.48070812,0.48075974,0.49242043,0.5193934,0.55238026,0.57097554,0.56507856,0.54365915,0.52870727,0.531477,0.54413027,0.54951644,0.5387617,0.5162655,0.49240485,0.47558996,0.47025037,0.47769985,0.494693,0.5137085,0.5249885,0.5242953,0.51401144,0.5015987,0.49113688,0.48210594,0.47149578,0.45958856,0.45010725,0.44654927,0.44863954,0.45414174,0.4628395,0.47841904,0.50133795,0.52507454,0.53769207,0.5361125,0.53001124,0.5328378,0.54575294,0.55465966,0.5465625,0.52043456,0.48852745,0.46124077,0.44351828,0.43421736,0.43311742,0.43882942,0.44872308,0.45829272,0.46653807,0.47769752,0.49718168,0.5231287,0.54440564,0.5496671,0.5397184,0.5261043,0.5210976,0.52444315,0.52884287,0.5256393,0.51439303,0.49805483,0.4828166,0.4737353,0.47521412,0.48693767,0.5032613,0.5155434,0.5200958,0.5223618,0.5341061,0.5584362,0.584845,0.59198046,0.5709684,0.5295012,0.48995015,0.46624586,0.462047,0.47067556,0.48795784,0.5078695,0.52276295,0.52056617,0.49761334,0.46250758,0.4343845,0.42665982,0.43916392,0.46209368,0.48842025,0.5184779,0.5521933,0.5818338,0.594969,0.5862398,0.5605369,0.5269006,0.4893688,0.45126817,0.4224106,0.4185818,0.445376,0.4862289,0.51100236,0.5004665,0.4614011,0.41618416,0.38183495,0.36126125,0.3536221,0.36451194,0.39958778,0.45122114,0.49684486,0.5193257,0.5234369,0.5287833,0.54583627,0.56218725,0.56031626,0.536445,0.5065178,0.48472774,0.4727873,0.46128976,0.44594607,0.4306444,0.42231667,0.42252043,0.42953587,0.4439496,0.4687421,0.50062996,0.5261028,0.5293097,0.5099395,0.48377645,0.4698728,0.47055113,0.47467065,0.47110465,0.46047056,0.45045438,0.44547698,0.44513908,0.44901168,0.46259335,0.4894193,0.52368355,0.54686666,0.5446095,0.5171065,0.4815731,0.45381653,0.4399856,0.43548056,0.43674842,0.44340205,0.45669612,0.47432414,0.49368596,0.51572174,0.54331446,0.5715945,0.58538145,0.5720044,0.53970677,0.5141568,0.5159715,0.5390866,0.5594628,0.5577993,0.53438884,0.50186455,0.47193918,0.451479,0.4449122,0.4540228,0.4725144,0.48654678,0.48461875,0.46839356,0.4511837,0.44548595,0.4527682,0.4640459,0.4704964,0.46869543,0.46261263,0.45630303,0.45418525,0.45852163,0.47270557,0.49557498,0.5194215,0.53227615,0.5287864,0.5186815,0.51729125,0.5315017,0.55024046,0.5576312,0.54664904,0.52279204,0.49611458,0.47255287,0.4559596,0.44706622,0.44514215,0.44531834,0.44408047,0.4425157,0.44742188,0.46548524,0.49504086,0.52449393,0.5385635,0.5330811,0.5175104,0.5072163,0.5071444,0.5111254,0.51010805,0.50240815,0.49156272,0.48093304,0.4716268,0.4667709,0.47282994,0.4938341,0.5237808,0.54651386,0.54821086,0.528447,0.5012732,0.4817215,0.47513652,0.47627452,0.47771373,0.47706,0.47583306,0.47664103,0.4801732,0.48854557,0.5045896,0.52746785,0.5488584,0.55705184,0.5504312,0.53899765,0.5354745,0.53922784,0.5382187,0.5220445,0.49352273,0.46575668,0.45014825,0.4501729,0.46211419,0.48092517,0.5005622,0.5147756,0.51693875,0.5063362,0.4884949,0.47287488,0.4643558,0.46185943,0.4612123,0.46050677,0.46007374,0.4599165,0.45911685,0.4585351,0.46253064,0.4738698,0.48943946,0.5007591,0.50514096,0.5098298,0.52628875,0.5550893,0.58280545,0.5929218,0.58126277,0.5574047,0.5343711,0.51750124,0.5051841,0.49419713,0.48403463,0.47536588,0.46833816,0.4644675,0.46774134,0.48438302,0.51311654,0.54241914,0.5539469,0.54058677,0.5132138,0.49188828,0.48751724,0.49335015,0.49780238,0.49436843,0.4873911,0.48120132,0.47914305,0.48252168,0.49563572,0.5202511,0.5510715,0.5740886,0.5765775,0.55720496,0.5279681,0.5042127,0.49328026,0.49187064,0.4921055,0.48904702,0.48303315,0.47722316,0.4749885,0.47800013,0.4867386,0.49803272,0.50687593,0.50819254,0.5045708,0.50416994,0.51432246,0.5306715,0.54010886,0.53215295,0.50992584,0.48592043,0.47064003,0.46486282,0.46512172,0.46976742,0.47946241,0.49140057,0.49866763,0.49686024,0.48813072,0.47874475,0.47157708,0.46527708,0.45795688,0.44994465,0.44237432,0.43360034,0.4224508,0.41168797,0.41154334,0.43102038,0.46883425,0.5094219,0.5354518,0.5428975,0.5433777,0.54931027,0.559917,0.5632994,0.5528045,0.53442127,0.52154654,0.5205028,0.527464,0.5319752,0.5252292,0.50296706,0.46745762,0.42604086,0.38860586,0.36159715,0.34579477,0.33610213,0.32725242,0.31642437,0.30647168,0.3021863,0.30739343,0.31949553,0.33077312,0.33254257,0.3217794,0.3033265,0.28573498,0.27561522,0.2729594,0.2733934,0.2717133,0.26631722,0.25903368,0.25230712,0.24635851,0.23838608,0.22629993,0.21068682,0.19623719,0.18837662,0.1908248,0.20228241,0.21643524,0.22446251,0.22129071,0.20824395,0.19206722,0.17744224,0.1662574,0.15840167,0.15664782,0.1628415,0.17424043,0.18352552,0.18618299,0.185037,0.18567772,0.18783724,0.18574823,0.17611976,0.16621046,0.16738398,0.18482928,0.20925103,0.22530197,0.22294223,0.20711201,0.19106704,0.18604018,0.19263071,0.20396726,0.21243574,0.21430726,0.21031167,0.20267333,0.19329304,0.18119836,0.16473515,0.14431386,0.12527753,0.11528796,0.11996027,0.13906336,0.16638283,0.19137205,0.20380825,0.19817507,0.17744906,0.15039863,0.12698856,0.11272184,0.10755987,0.10646108,0.10295718,0.09330467,0.08097459,0.07534904,0.085211895,0.10950456,0.13594796,0.14816947,0.13763334,0.10849852,0.07387939,0.04688255,0.0356143,0.042143326,0.064077735,0.09483594,0.12553765,0.14830165,0.16033606,0.16450383,0.16594535,0.16759366,0.1681879,0.16505766,0.1564752,0.1429425,0.12555815,0.107824385,0.097104795,0.101603664,0.123078406,0.15137802,0.17239611,0.1785872,0.17619337,0.17775913,0.19217758,0.21880184,0.24963431,0.27613953,0.29307953,0.3008393,0.3025906,0.3024465,0.302534,0.30289176,0.3017359,0.29792407,0.29307213,0.29172516,0.2972984,0.30825248,0.31807554,0.32060698,0.3135409,0.29787207,0.27433562,0.24385853,0.21082853,0.18557073,0.17861682,0.19334845,0.2212342,0.24976213,0.270553,0.2851578,0.29851916,0.31619835,0.34213638,0.38317677,0.44044733,0.50466603,0.5538492,0.574209,0.57141477,0.5673172,0.575402,0.58821684,0.5876028,0.56370145,0.5240241,0.4828429,0.44939193,0.42294943,0.39753678,0.3683101,0.3336165,0.2962935,0.26349917,0.24718253,0.25751463,0.29345408,0.33923173,0.3726187,0.38038996,0.36169156,0.32485977,0.27881572,0.23744279,0.21975435,0.24557233,0.31745097,0.4137241,0.4974936,0.54431635,0.5557335,0.5526712,0.55108476,0.551282,0.5440948,0.5250288,0.49957228,0.47661683,0.46096528,0.4495059,0.43660197,0.4195079,0.40196028,0.38931713,0.38335088,0.38013294,0.37325776,0.358745,0.3373258,0.3184904,0.31885636,0.3561174,0.43267182,0.52996105,0.6152108,0.66421014,0.67259073,0.6536147,0.6238068,0.5946296,0.57398874,0.56810707,0.57897466,0.59829473,0.61006045,0.6047129,0.587632,0.574086,0.5697658,0.56539035,0.5481115,0.52049977,0.49855855,0.49642047,0.509975,0.52461576,0.527639,0.5192645,0.5060069,0.49393025,0.48410332,0.47487894,0.46477404,0.45400128,0.44519898,0.44420993,0.45887902,0.49459505,0.54496485,0.5911327,0.6097279,0.59157044,0.54601365,0.49501717,0.45584324,0.43604505,0.43446827,0.4478191,0.46980655,0.4912189,0.50092345,0.4942572,0.4748112,0.4526913,0.4356542,0.4264723,0.4223176,0.41611335,0.3980161,0.35930908,0.29994485,0.23050232,0.16715978,0.12087459,0.09279078,0.07966017,0.08440886,0.1206403,0.1997556,0.31353965,0.4278619,0.5067548,0.53999066,0.55003816,0.56352335,0.58533883,0.5998849,0.5973258,0.58731765,0.585772,0.59418297,0.59630245,0.5768339,0.5351227,0.4848852,0.44055828,0.41077748,0.39855123,0.40477157,0.4252578,0.44961858,0.464978,0.46844837,0.47088024,0.4891933,0.530673,0.58563066,0.6339276,0.6573157,0.64952093,0.6177711,0.5772057,0.5430445,0.52453715,0.5226225,0.5319777,0.5434051,0.55241007,0.5606306,0.5742195,0.59150964,0.6008907,0.5878368,0.5494821,0.49716613,0.4474378,0.40964904,0.3842604,0.3679836,0.35945055,0.35862696,0.3643969,0.3734882,0.381669,0.3861283,0.38644704,0.38453448,0.38255832,0.37980637,0.37074646,0.34626046,0.30011943,0.23492219,0.16293736,0.09916127,0.05314843,0.02573359,0.01190066,0.005700284,0.002981944,0.0016884214,0.0009656798,0.0005199979,0.00024789496,0.00010400126,4.1750565E-05,2.0265776E-05,1.3892654E-05,1.2312123E-05]