[0.21148506,0.22637706,0.25785947,0.29440072,0.32492754,0.34308386,0.34942245,0.34951493,0.35007083,0.35491112,0.3631984,0.37092087,0.37386143,0.3707088,0.3636932,0.35683814,0.3524979,0.35013178,0.34717044,0.34116098,0.33067092,0.314852,0.29387167,0.2681956,0.24008133,0.2123845,0.19049335,0.17974974,0.18444745,0.20262319,0.22684926,0.24670076,0.25635526,0.25621513,0.25153717,0.2456267,0.23893271,0.23041739,0.22302626,0.22227968,0.23234348,0.2506304,0.27005312,0.2844337,0.29270545,0.2972697,0.2996011,0.2986906,0.29199466,0.27916634,0.2633965,0.25129238,0.24859364,0.2561883,0.26897836,0.27985933,0.2849932,0.28534362,0.28377184,0.28128108,0.27704802,0.2720441,0.27036837,0.27674603,0.2906281,0.3066863,0.3180697,0.32227787,0.3195623,0.31055745,0.2928516,0.26336095,0.22122687,0.17097525,0.12094059,0.079626285,0.051268417,0.03512703,0.027229967,0.023501322,0.021201566,0.019215567,0.017304536,0.015568559,0.014028356,0.012592026,0.011130792,0.009622631,0.0081740795,0.0069582127,0.0060816444,0.0055213887,0.0051376256,0.004794303,0.0045476747,0.005149951,0.008324321,0.01666194,0.031580854,0.051896144,0.07308307,0.09146207,0.10665887,0.12299048,0.14226456,0.1611361,0.17100845,0.16974442,0.16561389,0.17582138,0.21176977,0.27140036,0.33845302,0.39424762,0.42655587,0.43325147,0.4165797,0.37878528,0.32232866,0.25554478,0.1946634,0.15841842,0.15732373,0.18754947,0.23291929,0.2755242,0.30422857,0.3186852,0.32481757,0.32934323,0.3353903,0.34200093,0.3460133,0.34426853,0.33588052,0.32203948,0.30508077,0.28660667,0.26735726,0.24743827,0.22667103,0.2046545,0.1811509,0.15791863,0.13951725,0.13279279,0.1424767,0.1676995,0.2005968,0.23063028,0.24918364,0.2528294,0.24218275,0.22058295,0.19358511,0.16986553,0.15987167,0.1708311,0.20141084,0.24041188,0.27315044,0.28903988,0.28638384,0.26947272,0.24421269,0.21445888,0.18226342,0.14887722,0.11587071,0.085346915,0.059620064,0.04041385,0.028154438,0.02229973,0.022536315,0.029162122,0.041886065,0.05733356,0.069881804,0.07387555,0.06846759,0.05666173,0.044471722,0.035877023,0.032855663,0.03407928,0.03755344,0.041091103,0.04392391,0.04704706,0.054317087,0.07243157,0.10744047,0.15938364,0.21876131,0.27116546,0.30560616,0.32115555,0.3250709,0.32665274,0.33092466,0.33659634,0.3380977,0.330572,0.31493083,0.29745597,0.28553137,0.28158233,0.28462425,0.29251015,0.30522683,0.3210838,0.33599433,0.3437676,0.34083048,0.3282045,0.31052783,0.2929698,0.27813613,0.2669345,0.25939962,0.25625083,0.25637618,0.2563505,0.25059998,0.2366323,0.21705638,0.20078127,0.19610016,0.20734519,0.23030345,0.25732577,0.2799925,0.29459798,0.3009355,0.30159283,0.29900405,0.29503036,0.29068664,0.28648067,0.28139877,0.27219415,0.25432655,0.22560054,0.19030799,0.15966482,0.14792742,0.16365272,0.2039005,0.25401437,0.297564,0.3254741,0.33866644,0.34176388,0.33818957,0.33045515,0.32176137,0.3147941,0.30940497,0.30287626,0.2915816,0.27137145,0.2402432,0.20117319,0.16359836,0.13533725,0.116913654,0.10191062,0.088489115,0.08364884,0.09834226,0.13512954,0.18449597,0.2311794,0.26448274,0.28322408,0.29263103,0.29899475,0.30562183,0.31280908,0.31870008,0.3200941,0.31245014,0.29039428,0.2519936,0.20300907,0.15923469,0.13819014,0.14899604,0.18431543,0.22604303,0.25619912,0.26790226,0.26577166,0.25938037,0.25447544,0.25091797,0.24661224,0.24379985,0.24894686,0.26779425,0.29732284,0.3258996,0.33891484,0.33125463,0.31051144,0.29321703,0.29091492,0.30439568,0.32472873,0.34274483,0.35344362,0.3565526,0.35366508,0.34711838,0.33925262,0.3316957,0.32496667,0.31832954,0.31043145,0.2998161,0.28703833,0.27608484,0.27252686,0.2786967,0.2896289,0.29681954,0.2951423,0.28815764,0.28444517,0.2905457,0.30532926,0.32081148,0.3271265,0.3197467,0.30212247,0.28328988,0.26968983,0.26196083,0.2566962,0.25175843,0.24658024,0.24018283,0.23107015,0.22043693,0.21262866,0.211276,0.21433192,0.21550424,0.20887637,0.19348298,0.17242877,0.15089692,0.13306344,0.120813586,0.11253369,0.10545362,0.09773693,0.08989831,0.08199794,0.07286451,0.060906455,0.047162425,0.034654696,0.026166225,0.021987565,0.020525152,0.020211479,0.021520562,0.028145535,0.046213776,0.08020513,0.12845385,0.1814072,0.22691853,0.25631556,0.26866546,0.26844,0.26188692,0.25352928,0.24507713,0.23669256,0.2281215,0.22022934,0.21365894,0.20851403,0.20354952,0.19756716,0.18996425,0.1813251,0.17278504,0.1656419,0.16117997,0.16099453,0.16604246,0.17519574,0.18424678,0.18937142,0.19097495,0.19577509,0.21053918,0.23638737,0.2657754,0.28999066,0.30486512,0.31365383,0.3208371,0.3280327,0.3328179,0.33275756,0.32797393,0.32073358,0.31290603,0.30447707,0.2961581,0.2934933,0.30849716,0.3513554,0.41943893,0.49207345,0.5436773,0.56005687,0.5471113,0.52059823,0.49440232,0.4741782,0.46022525,0.45087788,0.44401655,0.43883416,0.43549624,0.43562412,0.44046056,0.4522667,0.47265068,0.4992353,0.5216741,0.52516985,0.50227433,0.46043834,0.4190528,0.3932619,0.38459346,0.3814404,0.37274674,0.35621262,0.33853593,0.32657483,0.32162824,0.3202151,0.31900194,0.3179861,0.31890154,0.32258442,0.32744184,0.33116773,0.33230963,0.33166113,0.330874,0.3319231,0.3349531,0.3394681,0.34396604,0.3482834,0.3521235,0.35543147,0.3566114,0.35356426,0.34359717,0.3257948,0.30301848,0.28249738,0.2718432,0.2737213,0.28682974,0.31130043,0.3524401,0.41086757,0.47374478,0.515178,0.51646,0.47865546,0.42268667,0.37066904,0.33575773,0.31870934,0.31609786,0.3234422,0.33807448,0.35534188,0.36891022,0.37173855,0.3627005,0.34760225,0.3361094,0.3337592,0.33854795,0.34311986,0.34096023,0.33168265,0.32069507,0.31452632,0.3146213,0.31701124,0.3171478,0.31560242,0.3171022,0.32374144,0.3305252,0.32951084,0.32077515,0.3182802,0.34096456,0.3966155,0.46980524,0.5335849,0.5657615,0.56528115,0.5429552,0.51360834,0.48411164,0.45876274,0.43816593,0.42437658,0.41710517,0.4167788,0.42141223,0.43126658,0.44768262,0.47500792,0.50996196,0.5403752,0.5461835,0.5198971,0.47094062,0.42455304,0.3972889,0.39093676,0.39085796,0.3854297,0.37135658,0.3555669,0.3432902,0.33541715,0.32932147,0.3253074,0.32505062,0.32929245,0.33436343,0.33694208,0.335518,0.3328062,0.33090273,0.33116946,0.33213034,0.33292198,0.3326175,0.33206332,0.33209172,0.33476162,0.34169576,0.3526285,0.3623422,0.36378673,0.3547765,0.34463915,0.3456769,0.36193255,0.38114008,0.39207718,0.3965988,0.4125329,0.4476063,0.48856804,0.5060341,0.48456633,0.43368033,0.3806934,0.34586343,0.3322232,0.32975414,0.32954717,0.33008552,0.3351047,0.34525844,0.35520014,0.3566022,0.34723723,0.33403838,0.3287891,0.33763048,0.35548666,0.37050292,0.37400767,0.3676014,0.3595811,0.3568355,0.35883304,0.35934344,0.3522444,0.33627817,0.3160489,0.2977728,0.28459156,0.2757026,0.27306226,0.28783455,0.33502328,0.41743204,0.51338714,0.586749,0.6118972,0.5905647,0.54687315,0.50505584,0.47735098,0.4616686,0.45296192,0.44672668,0.44242787,0.43950438,0.43731904,0.43550584,0.4369761,0.4484006,0.47218785,0.50205153,0.52222043,0.523407,0.50733376,0.48675597,0.46910325,0.45416358,0.4357876,0.41266218,0.38838282,0.3691561,0.35716376,0.35130012,0.3477333,0.3451719,0.34364748,0.34537947,0.34976888,0.35496795,0.35705468,0.35443947,0.3470731,0.33705163,0.32571745,0.3126657,0.29581627,0.27481893,0.2544466,0.24414891,0.25071418,0.27240446,0.29788944,0.31622064,0.32294193,0.32212833,0.3185126,0.31418192,0.309585,0.3093499,0.32375038,0.36061278,0.41556427,0.46770215,0.49370027,0.482864,0.44559833,0.4012986,0.3655373,0.34253487,0.33030492,0.3270371,0.33354053,0.35004452,0.37126267,0.38702035,0.38834667,0.3747414,0.35406637,0.33594146,0.32462326,0.3182499,0.3132905,0.30904588,0.30800104,0.3128865,0.32387277,0.33841607,0.35275534,0.36422706,0.37186727,0.3761433,0.3764503,0.3701593,0.35714826,0.34550476,0.35410857,0.39500228,0.46162775,0.5226684,0.55143136,0.5391233,0.50314707,0.46191153,0.4290867,0.40737715,0.39826426,0.39904723,0.40472934,0.4085412,0.40655348,0.39899227,0.38998365,0.38593116,0.39297053,0.41032055,0.42935953,0.43672654,0.42803034,0.40972188,0.39541247,0.39081407,0.39185557,0.38810933,0.37458864,0.35352537,0.33296967,0.3190318,0.31439376,0.31739315,0.32621348,0.33884588,0.3539209,0.36783078,0.37691605,0.37813592,0.3730631,0.36450565,0.3546935,0.34040853,0.31721398,0.28395194,0.24862643,0.22419828,0.22107019,0.2391196,0.2689067,0.29857123,0.32220593,0.34211376,0.36316657,0.3859695,0.40420702,0.41276154,0.41482493,0.42368782,0.4501069,0.4908096,0.52556366,0.53238803,0.5039714,0.45262507,0.3981817,0.35301217,0.31792068,0.2885672,0.2650226,0.25314546,0.25791225,0.2748578,0.28922996,0.2879262,0.27062482,0.2533603,0.25414157,0.28106537,0.32371628,0.36435565,0.38727415,0.3905821,0.38092506,0.36867464,0.3585159,0.35072228,0.34261343,0.33298305,0.3212047,0.3061963,0.2862859,0.26400596,0.25113565,0.26746583,0.32681164,0.4212239,0.5174896,0.57798177,0.5856692,0.55316097,0.5069175,0.46770617,0.4431077,0.43222308,0.43008724,0.43068752,0.42808506,0.42152524,0.41400376,0.41283584,0.4235799,0.4499339,0.48484012,0.51382023,0.51818794,0.49399522,0.45226792,0.41467094,0.39294532,0.3871958,0.38810113,0.38987264,0.39007068,0.3896912,0.38764796,0.3832315,0.37570992,0.36699793,0.35915554,0.3543088,0.35240552,0.35243487,0.352281,0.35065648,0.34650818,0.33951542,0.3292949,0.31673673,0.30425465,0.29575244,0.29404357,0.29922453,0.30704024,0.3115959,0.30767688,0.29577813,0.28123394,0.27211127,0.27289763,0.28310925,0.30062822,0.32664812,0.36690092,0.42132354,0.47817063,0.51409227,0.51335126,0.4772341,0.42580533,0.37965763,0.35057017,0.33534017,0.3247542,0.3106519,0.29606918,0.29103875,0.304906,0.33372998,0.36537457,0.3867918,0.39505216,0.39161113,0.37841353,0.35222745,0.31198227,0.2630113,0.22017245,0.19824342,0.20326315,0.22728644,0.25554425,0.2756159,0.28329602,0.2810249,0.27356488,0.26542485,0.26002538,0.25995782,0.26637116,0.27851197,0.29344836,0.30696377,0.31546474,0.3180836,0.3171389,0.3161972,0.3172854,0.31938928,0.3200741,0.31783286,0.31450036,0.3134168,0.31732288,0.3249383,0.33292642,0.3379484,0.34006944,0.3412331,0.34355882,0.34700418,0.35023984,0.35170916,0.35073814,0.347373,0.34210923,0.33594692,0.32979736,0.32418787,0.31856397,0.3122957,0.30508813,0.29751006,0.2904913,0.28529516,0.28330246,0.2851872,0.29016817,0.29606533,0.3007712,0.30321744,0.30351064,0.3022414,0.3001068,0.29764757,0.29530758,0.29382312,0.29421517,0.29714155,0.30148527,0.30506718,0.3061051,0.30518663,0.3040266,0.30393508,0.304374,0.30413818,0.30274925,0.301742,0.30415276,0.31264606,0.32716963,0.34441328,0.36010623,0.37221286,0.3817656,0.3909439,0.40045753,0.41055906,0.4234271,0.44352293,0.47188392,0.50061697,0.5160485,0.50934964,0.48524955,0.45650288,0.43386653,0.4185946,0.40769204,0.39793232,0.38881958,0.37807107,0.36243436,0.33806396,0.30582145,0.26988736,0.23656929,0.2087426,0.18654615,0.16953386,0.16294257,0.17802227,0.2279417,0.3154009,0.42660818,0.53197986,0.60369086,0.62829775,0.6146968,0.5819497,0.5479872,0.5188914,0.49264243,0.46603942,0.44174692,0.42678586,0.42569122,0.43561348,0.44931987,0.46279407,0.47881106,0.5002001,0.5227182,0.5336608,0.5243521,0.49790156,0.4711305,0.45939064,0.4679064,0.48632994,0.50079596,0.50141364,0.48986363,0.47366259,0.46158585,0.45736447,0.45960572,0.4638534,0.46587968,0.46446538,0.4601079,0.45377293,0.4444213,0.4313536,0.4165086,0.40583125,0.40467837,0.4125183,0.42231318,0.4268854,0.42524752,0.4225469,0.4238396,0.42944875,0.43677464,0.44518897,0.4586934,0.47874925,0.49924698,0.504922,0.48794463,0.45685032,0.43836167,0.45139363,0.4928191,0.5342128,0.55100703,0.53736,0.51037854,0.48775908,0.47792447,0.4767841,0.47935364,0.48443905,0.49426064,0.507424,0.51648307,0.51305085,0.495487,0.4708253,0.44845462,0.43393838,0.4269571,0.4241695,0.42128858,0.41527912,0.40519288,0.3926921,0.38027957,0.36957082,0.36061296,0.353389,0.34844866,0.3468866,0.34840143,0.35281947,0.3613964,0.3798484,0.4123445,0.45705613,0.49988213,0.52535945,0.5244151,0.5043478,0.47834802,0.458241,0.44556364,0.4371979,0.429203,0.42089415,0.4119288,0.40149212,0.3880123,0.3748928,0.37015045,0.38542315,0.4217652,0.46844697,0.5027961,0.513117,0.5023243,0.48999572,0.48832285,0.49794388,0.5054295,0.50146824,0.48429906,0.4614705,0.4392937,0.420684,0.40429258,0.38912728,0.37545255,0.36588478,0.3621589,0.3641421,0.36764863,0.37053,0.3747438,0.3886415,0.41553366,0.45008743,0.4760504,0.48227414,0.46729255,0.442245,0.41719654,0.3980267,0.38509938,0.37973782,0.3849349,0.40222147,0.42708132,0.44819844,0.45461118,0.4457842,0.43559647,0.44316062,0.47602764,0.5210083,0.5532954,0.55549127,0.5299606,0.49261412,0.4584237,0.43220827,0.412106,0.39807287,0.39559817,0.41021785,0.43944803,0.4693652,0.48310184,0.4715878,0.44066897,0.40541494,0.38012755,0.36940792,0.36829123,0.36844444,0.36624333,0.36435392,0.36771545,0.37699234,0.38827586,0.39676702,0.4005991,0.39977872,0.39339408,0.37995318,0.36164185,0.3476336,0.35285866,0.38704756,0.44670358,0.5102683,0.55369,0.5624998,0.54313844,0.5111889,0.48209962,0.461128,0.44747555,0.4378645,0.43095312,0.42692542,0.4264847,0.4296792,0.43775,0.4538292,0.4832476,0.52418643,0.5658982,0.5881511,0.58164835,0.55243284,0.5233159,0.5083313,0.5063955,0.5004126,0.47917572,0.4444932,0.41016158,0.38655984,0.37332332,0.36208972,0.34730244,0.3327639,0.3281377,0.3394468,0.3631804,0.38846442,0.40605828,0.4132708,0.41379896,0.41057912,0.40327096,0.38847646,0.36657032,0.34372655,0.33165598,0.33829394,0.36232567,0.39165893,0.4145663,0.42813125,0.43891153,0.4511592,0.4588213,0.4510459,0.4273336,0.40587652,0.41078535,0.4509611,0.5070414,0.54701966,0.54859513,0.51680934,0.47267583,0.43872955,0.422963,0.42352578,0.43325734,0.44909462,0.4670392,0.48064467,0.47839978,0.45530787,0.41740105,0.38096723,0.35919,0.35530302,0.3629421,0.37371716,0.38231182,0.38734472,0.38949051,0.39012888,0.39054248,0.39229023,0.39583883,0.40114304,0.40622142,0.40901613,0.4058906,0.39677522,0.38624474,0.38780904,0.4112332,0.45500398,0.49829248,0.5200358,0.51186055,0.48660585,0.46179053,0.44702324,0.43965712,0.43206894,0.42070675,0.4076083,0.3993113,0.40012383,0.4091774,0.42198816,0.43566692,0.45193386,0.47058502,0.48626587,0.4891722,0.47762957,0.45996973,0.45032027,0.4536333,0.4637859,0.4691707,0.46515557,0.45616436,0.45022368,0.45077243,0.45481077,0.4563899,0.4510363,0.43798935,0.4193019,0.39799592,0.37569258,0.3548945,0.3411461,0.34486294,0.37198743,0.41774222,0.46303448,0.4893558,0.48830423,0.46783578,0.43987903,0.41279647,0.38661727,0.36124942,0.34121105,0.33759248,0.3566079,0.3931675,0.42793298,0.44588923,0.4459994,0.44618654,0.4610338,0.4910797,0.51764596,0.5245574,0.5080674,0.48140344,0.45808604,0.44449174,0.4369452,0.4311281,0.42695963,0.42977908,0.4437786,0.4666737,0.48825884,0.49920955,0.49823967,0.49425945,0.49519482,0.5006101,0.499716,0.4841855,0.4560983,0.43114483,0.4235858,0.43640652,0.455721,0.46778163,0.46814469,0.46669766,0.46963203,0.47395146,0.46607408,0.43902478,0.3960277,0.35021737,0.3140504,0.2947813,0.29299513,0.30194733,0.31263518,0.31668022,0.31331363,0.30552492,0.29791126,0.29096997,0.28295878,0.27136993,0.2569069,0.24339764,0.23623623,0.237781,0.24621685,0.25622496,0.26328126,0.2647896,0.26065198,0.25179225,0.24052526,0.229837,0.22016536,0.20787914,0.18653797,0.15494421,0.118375205,0.08636618,0.0639021,0.050854992,0.043581042,0.039661374,0.038059607,0.038798768,0.04159355,0.045512456,0.048867837,0.050337657,0.050030734,0.049845558,0.052177638,0.058585938,0.06897551,0.08210873,0.09619925,0.10937941,0.11931685,0.12351731,0.12051568,0.112627715,0.10655222,0.11153152,0.13361634,0.1714663,0.21541028,0.25277686,0.2754557,0.28447512,0.28698173,0.28818333,0.2858442,0.2730551,0.2468643,0.2138233,0.18807243,0.18097629,0.19521292,0.22295277,0.25454625,0.28178594,0.30148497,0.31166387,0.3124592,0.30382594,0.2858542,0.25833946,0.22439277,0.19278027,0.17525448,0.17903115,0.2013974,0.23126121,0.256862,0.27126682,0.2741769,0.26784265,0.25427493,0.23299843,0.20420603,0.17132609,0.14234996,0.12511115,0.12337535,0.13628688,0.16115266,0.19433244,0.22960223,0.2594334,0.27893806,0.2885978,0.2917559,0.29032555,0.2850318,0.27716532,0.27062124,0.2682707,0.27090514,0.27600238,0.2807924,0.28205118,0.276966,0.26268014,0.23841411,0.20620187,0.17107986,0.13939707,0.11803342,0.11335245,0.12870716,0.1613666,0.20151556,0.23734029,0.26078066,0.2708026,0.2702476,0.26235178,0.249213,0.23318727,0.21758409,0.20525195,0.19682248,0.19034487,0.18309915,0.1733375,0.16113639,0.14801577,0.13574335,0.12508826,0.11521611,0.10511025,0.09491148,0.08602051,0.07897135,0.072642386,0.065239124,0.056586456,0.048559353,0.044221204,0.046180945,0.055881035,0.072448514,0.093092225,0.11215818,0.12397315,0.12344694,0.111419596,0.09393046,0.08262462,0.08774188,0.113833904,0.15678854,0.20768754,0.26018125,0.3127948,0.36500654,0.40871856,0.43100658,0.42378172,0.39384642,0.3571154,0.32732308,0.3073714,0.29354298,0.2816987,0.27088177,0.2612677,0.2524152,0.24332203,0.23355539,0.22358759,0.21385022,0.20434208,0.19475363,0.18531646,0.17793393,0.17834084,0.19740915,0.24487399,0.31825587,0.39551178,0.44727454,0.45732805,0.435153,0.4040024,0.38266504,0.37458596,0.37427104,0.37459925,0.3726782,0.3684167,0.36422288,0.3619391,0.3634328,0.37014127,0.3860639,0.41147223,0.44277215,0.46629855,0.47375724,0.4632759,0.45061365,0.4487541,0.46253276,0.47627246,0.4726592,0.44432393,0.40197012,0.36132184,0.33109522,0.31052843,0.29523793,0.2836039,0.27580032,0.2725741,0.27304772,0.2759097,0.27918348,0.2812121,0.28037298,0.27581742,0.2677393,0.25791886,0.24894898,0.2430632,0.24111898,0.24294253,0.24793868,0.25513038,0.262616,0.26759264,0.2677647,0.26294908,0.25534627,0.24858087,0.24712224,0.25738403,0.28602573,0.33351147,0.38685775,0.42303142,0.4241171,0.39132643,0.3431863,0.30030203,0.27228642,0.25871357,0.25794315,0.27403736,0.31085518,0.36318076,0.4110364,0.43234214,0.4177356,0.37900445,0.33615136,0.3030365,0.28070918,0.264617,0.25166336,0.24197249,0.23722267,0.23855925,0.24628901,0.25818217,0.27024743,0.27798042,0.2794194,0.27564096,0.2700018,0.2673621,0.2742523,0.299107,0.3458246,0.4065766,0.4590539,0.48089483,0.46556154,0.42822036,0.39038107,0.36461022,0.34970772,0.33965495,0.3303665,0.32126084,0.3130056,0.30659994,0.30273688,0.30334473,0.31264457,0.3395809,0.38738692,0.44829082,0.4963913,0.5117367,0.4909451,0.4597982,0.44128466,0.44285938,0.44385865,0.4263383,0.38632825,0.3405412,0.3042049,0.28336155,0.27344742,0.2690046,0.26672092,0.26517573,0.26360247,0.26164797,0.25949165,0.2567605,0.25309074,0.24837686,0.24376886,0.24008542,0.2375782,0.2364731,0.23885553,0.24771602,0.26260754,0.27772388,0.2848812,0.2813944,0.2718463,0.26414236,0.26270607,0.26779902,0.27960393,0.30194047,0.34108925,0.3994051,0.46766075,0.52581125,0.5525462,0.54224414,0.5077551,0.47169778,0.448253,0.4385167,0.43610242,0.43684438,0.4418951,0.45203713,0.4644296,0.47076526,0.464918,0.4460331,0.4206418,0.39581612,0.37532485,0.35701752,0.33626857,0.3101844,0.28168443,0.2600109,0.25420702,0.2666011,0.28839388,0.307892,0.31703052,0.31779894,0.31571096,0.31601712,0.3199323,0.33035243,0.35604176,0.40636906,0.48015523,0.5546541,0.6003048,0.5988819,0.5606158,0.5103516,0.47040668,0.44615498,0.4315004,0.41914594,0.40834102,0.40358475,0.4081308,0.4189869,0.43043157,0.44036093,0.45476064,0.4774362,0.5034387,0.5167298,0.50937694,0.48860943,0.47519127,0.47941932,0.49411353,0.499907,0.48686624,0.4593217,0.42999628,0.40547618,0.3850017,0.36462414,0.34360227,0.32290867,0.30250958,0.2810943,0.25837916,0.23711486,0.22063595,0.21060564,0.20505668,0.20044942,0.19360274,0.18411638,0.17388803,0.16606979,0.16239588,0.16290899,0.16572489,0.17058264,0.18104596,0.20570715,0.25060022,0.3085091,0.35713646,0.37290213,0.35474065,0.3286626,0.3302103,0.37390396,0.4408044,0.4945368,0.50822026,0.48506013,0.44803822,0.41979578,0.4037205,0.39079237,0.37652996,0.37052917,0.38573703,0.421507,0.46004915,0.4823283,0.48298764,0.47232613,0.46100083,0.44995055,0.4296775,0.39279687,0.34258828,0.29534376,0.26949623,0.27426943,0.30294797,0.33955872,0.3697565,0.38775316,0.39539778,0.39713037,0.3979881,0.40367773,0.42079458,0.45395994,0.49839497,0.5390631,0.5558887,0.54126483,0.5045918,0.46764943,0.44556388,0.44140148,0.44720006,0.45501593,0.45959017,0.46200356,0.46511853,0.47263303,0.4832177,0.4952511,0.50749063,0.521921,0.5343194,0.53518605,0.5131874,0.4716178,0.42729864,0.40321913,0.40791687,0.4321194,0.45502293,0.46164417,0.45026898,0.4291357,0.4063108,0.3837247,0.35946545,0.33267805,0.30580208,0.28214657,0.26355472,0.24991749,0.24077475,0.23595858,0.23530076,0.2372991,0.23884286,0.23618037,0.22758238,0.21464534,0.20188569,0.19361769,0.19217277,0.19693875,0.20652874,0.2199411,0.23772061,0.25839815,0.27656436,0.28285682,0.2743127,0.26159617,0.2692285,0.3147402,0.39299324,0.47295174,0.5245724,0.5379925,0.5289382,0.51733845,0.5136728,0.51365477,0.5100537,0.49947286,0.48918605,0.4858085,0.4896988,0.48705515,0.46743977,0.43135974,0.3939993,0.36790106,0.35553384,0.35041523,0.34595263,0.33965468,0.33229104,0.32566485,0.32124245,0.3180828,0.31453136,0.30879712,0.3017711,0.29408932,0.28575632,0.27550936,0.2666265,0.26963523,0.30000484,0.3638506,0.44731632,0.51964575,0.5554197,0.5515538,0.5258201,0.4982457,0.47850943,0.4662572,0.45846453,0.45284104,0.4474776,0.44029543,0.42896986,0.41303948,0.39610025,0.38864967,0.40138745,0.43592846,0.47766826,0.50650185,0.5120067,0.502546,0.4943832,0.4960333,0.50078005,0.49576306,0.47512165,0.44515213,0.41824374,0.4024988,0.3965237,0.390107,0.37295544,0.3425645,0.30853117,0.28243122,0.26795962,0.25661325,0.24150425,0.22604083,0.22469997,0.2463839,0.28700617,0.32932037,0.3581749,0.36755157,0.36324272,0.35359934,0.34502295,0.33913615,0.33611408,0.33608678,0.3383776,0.33951116,0.33204427,0.31301752,0.29025283,0.28679118,0.32005066,0.38769934,0.45786062,0.4984692,0.49538037,0.4648203,0.42969942,0.40653515,0.395883,0.3936986,0.39689144,0.40834808,0.42877272,0.452731,0.4660901,0.4591492,0.43287316,0.40128222,0.37731996,0.36659876,0.3642979,0.36431694,0.36296654,0.36158848,0.362017,0.3650751,0.36908984,0.37196085,0.37172666,0.36782035,0.36067477,0.35127425,0.34169742,0.3366312,0.34546098,0.37578154,0.42507482,0.47424924,0.49968252,0.48972186,0.45481494,0.4172772,0.39411226,0.38841274,0.39199135,0.39651802,0.39737356,0.39688584,0.3970759,0.3991189,0.40031016,0.40250704,0.41190434,0.43549296,0.4695431,0.49862584,0.50792456,0.49668276,0.48046768,0.47411788,0.4787968,0.47974563,0.46270013,0.42495522,0.37873685,0.33917657,0.31551662,0.30548236,0.3010871,0.2949385,0.28524566,0.27418283,0.26384872,0.25457948,0.24600329,0.23862575,0.23286098,0.22777772,0.2215455,0.213264,0.20444812,0.1987743,0.20055258,0.20983379,0.22076856,0.22230522,0.2105679,0.19265838,0.18744542,0.20449734,0.237619,0.2621614,0.26373836,0.24950193,0.251821,0.29402336,0.370935,0.44524536,0.48109686,0.46908975,0.42906967,0.38729322,0.35742998,0.34008121,0.33285555,0.33723447,0.3557187,0.38293698,0.40372816,0.39965627,0.3665655,0.3199521,0.28630045,0.2813984,0.30119732,0.3286343,0.3492873,0.35989714,0.36528572,0.37079635,0.37685275,0.3799179,0.37655082,0.3671622,0.3554388,0.3449017,0.33533633,0.32638165,0.32276964,0.33772674,0.38076842,0.44644216,0.5095387,0.5445652,0.54195696,0.5154208,0.48568347,0.46658537,0.4581127,0.45346332,0.44704822,0.438579,0.43123543,0.42773786,0.42831922,0.43354356,0.4460498,0.47090364,0.5056934,0.5390478,0.55147684,0.53534406,0.49902013,0.46763095,0.4579464,0.46995398,0.4835322,0.4812465,0.4592154,0.43000945,0.40664065,0.3935686,0.3864543,0.38102818,0.3779517,0.3813618,0.39288947,0.40893292,0.42199782,0.42659175,0.42190778,0.41191414,0.4018372,0.39645538,0.39837193,0.40699026,0.4176656,0.42398152,0.42250374,0.41499987,0.40543398,0.39436316,0.3791553,0.36051074,0.3444691,0.33815494,0.34059584,0.34824538,0.3611134,0.38723287,0.4291478,0.47665346,0.5098956,0.51633555,0.4990071,0.47189423,0.44685683,0.42808357,0.41498375,0.40861297,0.41274217,0.42878792,0.45072246,0.46428397,0.4568282,0.42636204,0.38610578,0.3534794,0.33955872,0.34178147,0.35137472,0.36043942,0.36836767,0.3771915,0.38743183,0.39337125,0.38954988,0.37532282,0.3588841,0.34702483,0.33945417,0.3269098,0.30481458,0.2810223,0.277155,0.3098735,0.3789843,0.45913377,0.52166325,0.54667205,0.5388999,0.5116586,0.48166037,0.45563594,0.4364626,0.42338848,0.417003,0.41820827,0.42623818,0.43860698,0.45149854,0.46308935,0.47292554,0.48071718,0.4856139,0.48681113,0.48685813,0.49030876,0.50244874,0.52281994,0.54486924,0.5571843,0.55259055,0.53139716,0.50164336,0.47081152,0.44364718,0.4209114,0.40443277,0.3948401,0.392663,0.39394912,0.39517975,0.3920751,0.38570142,0.37766123,0.37156177,0.3668381,0.36278114,0.35737073,0.35213265,0.34935522,0.35289454,0.3636768,0.37954986,0.39356795,0.39846024,0.39100194,0.3759756,0.36130568,0.35151646,0.34418914,0.3384205,0.34067407,0.3612354,0.3996458,0.43849304,0.45509627,0.43961787,0.403111,0.3664167,0.34462288,0.3397752,0.34596238,0.35839024,0.37725627,0.40233245,0.42789257,0.44050512,0.43048975,0.39778495,0.35621524,0.32154778,0.3048779,0.30643183,0.32087317,0.3412042,0.36216983,0.3800623,0.39135376,0.3937082,0.3852994,0.36726406,0.34292862,0.3185939,0.29885224,0.2843034,0.27378547,0.27155128,0.29117456,0.3420752,0.41655865,0.48410144,0.51658374,0.5062831,0.47330916,0.44251335,0.42840624,0.42888987,0.43497762,0.43855605,0.43633857,0.42977858,0.42183158,0.41483262,0.41061643,0.41344154,0.42957708,0.4605844,0.4971187,0.5224171,0.5260332,0.51360524,0.50082976,0.49787936,0.50006276,0.4946337,0.47383294,0.44103837,0.4062598,0.37694252,0.3552923,0.33977833,0.33094898,0.33078408,0.3409852,0.35815284,0.37570032,0.3869667,0.389729,0.38528728,0.37603033,0.3628566,0.34524953,0.32332894,0.30022112,0.28329083,0.2810906,0.2974184,0.32693052,0.35737658,0.3780875,0.38600168,0.38483742,0.37823036,0.36691973,0.35354033,0.34736165,0.36188173,0.3992951,0.4443233,0.4684771,0.45488802,0.40828243,0.3531742,0.31145278,0.29143092,0.28682974,0.28937456,0.2970116,0.31561244,0.34875295,0.3896755,0.41944268,0.42237756,0.3977417,0.36235282,0.33547458,0.32701048,0.33419904,0.34914485,0.36483368,0.37838972,0.3886282,0.39511982,0.39573637,0.38952747,0.377795,0.36554548,0.35682476,0.35072872,0.34125662,0.32627097,0.3151728,0.32721996,0.37105647,0.43268013,0.4778491,0.48271278,0.4463276,0.38939896,0.33083072,0.28273293,0.25126642,0.2410299,0.25040293,0.2689904,0.28385007,0.2872484,0.2802362,0.26838723,0.25684825,0.2484622,0.24349509,0.2418248,0.24246626,0.24545862,0.25065276,0.25870648,0.26937723,0.28141803,0.2920423,0.2981517,0.2989718,0.2967033,0.29553306,0.2969707,0.29942098,0.30006287,0.2994236,0.30073085,0.30685642,0.31711867,0.328348,0.3368684,0.33961764,0.33295038,0.3128811,0.27801114,0.23296237,0.1897052,0.16151574,0.15753351,0.17588107,0.2069878,0.23657429,0.2556086,0.26184383,0.26029816,0.2561195,0.253094,0.25339103,0.25900832,0.2693335,0.2797041,0.2844021,0.28148335,0.27458,0.26839006,0.2636737,0.25528854,0.23630686,0.20437707,0.16566937,0.13250162,0.115740396,0.11906028,0.1379577,0.16381057,0.18796773,0.20655458,0.22301458,0.24581234,0.2805942,0.3232365,0.36305645,0.39066997,0.40486288,0.40926114,0.40791026,0.40151533,0.38939783,0.37145042,0.34949985,0.32568127,0.30080462,0.27544007,0.25469688,0.25137994,0.27959606,0.34133962,0.41683272,0.47491208,0.49446833,0.48008248,0.45376715,0.43501055,0.42943206,0.43116713,0.43446457,0.43533036,0.43349525,0.4283836,0.42229214,0.41954795,0.42678228,0.45002735,0.48805913,0.53042936,0.5577955,0.55718845,0.5300842,0.49640647,0.4765999,0.47858146,0.4904534,0.4949596,0.48264322,0.4581137,0.4311781,0.40780094,0.38871232,0.37362388,0.3651081,0.36486936,0.37110338,0.37739757,0.37819263,0.37200654,0.3623904,0.35403213,0.34926808,0.34673205,0.34325597,0.33718714,0.329658,0.3238341,0.32158902,0.32242107,0.32318595,0.32178974,0.31860256,0.31812012,0.3234502,0.33380494,0.3417691,0.34360135,0.34368387,0.35700977,0.39054275,0.4360805,0.46836317,0.4704689,0.44227052,0.40308186,0.36979845,0.3499942,0.3381536,0.32808688,0.31978354,0.32279745,0.3454109,0.38349545,0.41857708,0.43336365,0.4250284,0.40575346,0.3876053,0.3727456,0.3534925,0.3234639,0.28491664,0.2502763,0.23257595,0.23738499,0.2586168,0.2862427,0.31249297,0.33542576,0.35380784,0.36521637,0.36761203,0.36559632,0.3710705,0.3945036,0.4339069,0.4718791,0.48923674,0.479378,0.45232227,0.42334178,0.4009739,0.38564086,0.37498185,0.37082395,0.37934542,0.40528074,0.4454254,0.48312426,0.500621,0.48844227,0.45690036,0.42209652,0.39757124,0.38432643,0.38076392,0.3861681,0.40528986,0.43696496,0.47296366,0.49447405,0.49112758,0.46323967,0.4276838,0.3977028,0.38082978,0.37305498,0.37279698,0.38125837,0.40581048,0.44566903,0.49004424,0.51569384,0.50884277,0.47149828,0.42458344,0.38639632,0.3649182,0.35514235,0.35194913,0.35586727,0.37428012,0.40950906,0.45266852,0.48268843,0.48511496,0.4602054,0.42448804,0.39269707,0.37159184,0.35940456,0.3561722,0.3661704,0.39542636,0.44127825,0.48936453,0.5188094,0.5193684,0.49735138,0.47039476,0.45125282,0.4423372,0.4394069,0.4399574,0.44609264,0.460862,0.48222646,0.50140077,0.50782186,0.49823746,0.47752127,0.45414197,0.4318343,0.41069818,0.3895031,0.36933348,0.35066593,0.33266243,0.31278464,0.2907586,0.26905802,0.25202814,0.2414443,0.23560561,0.23109044,0.22743948,0.2303781,0.2503029,0.29782125,0.37381876,0.46624288,0.5504446,0.6041027,0.61696553,0.5977168,0.5639506,0.5318569,0.5070575,0.4868867,0.46747926,0.44985068,0.43923005,0.4392536,0.44789132,0.4604803,0.47474813,0.49489132,0.52261084,0.5529385,0.56942576,0.56238014,0.53426087,0.5063866,0.49618268,0.5093568,0.5316145,0.54680556,0.5452339,0.5309115,0.5121874,0.49627697,0.48528346,0.47864488,0.4748002,0.47212145,0.46927822,0.4653157,0.45941234,0.45028973,0.43703413,0.4212488,0.4076409,0.4012815,0.40328124,0.4101139,0.41725782,0.4232552,0.42977777,0.43833053,0.44828868,0.4582328,0.4679004,0.4778295,0.4854389,0.48479316,0.47003242,0.4447273,0.42361963,0.42540053,0.4560689,0.50137067,0.5357015,0.5416936,0.52173245,0.49186185,0.4675837,0.45476052,0.451782,0.45616615,0.46913227,0.49304047,0.5262966,0.55992323,0.5826451,0.5878158,0.5778225,0.55979115,0.5409875,0.52489215,0.51290244,0.5038734,0.49669805,0.4892117,0.48080826,0.47023308,0.4578209,0.44413388,0.43233708,0.42488328,0.4231055,0.4247395,0.42895544,0.43776867,0.4590303,0.49543658,0.5409867,0.5770492,0.59048605,0.579691,0.5580588,0.5371775,0.52232313,0.5116517,0.50431347,0.5002794,0.49837515,0.4938723,0.48166266,0.45984578,0.43442687,0.41700086,0.42181027,0.45227504,0.49914137,0.53959006,0.5591942,0.55760336,0.5524206,0.5559037,0.5682371,0.5747356,0.5642476,0.5359515,0.5003392,0.4684745,0.4460429,0.43245387,0.42458344,0.42044142,0.42117843,0.42910483,0.4450123,0.4646748,0.48383227,0.50189155,0.52371365,0.54964674,0.57024,0.57031304,0.5437372,0.50013334,0.45748556,0.42830983,0.41377875,0.40938294,0.41216072,0.4241145,0.44679368,0.4774011,0.5050486,0.51990086,0.51918465,0.5143327,0.5188072,0.53951854,0.56614673,0.5820419,0.5744955,0.5467097,0.51232433,0.48432985,0.46638155,0.45400795,0.44548476,0.44579795,0.46307537,0.4967053,0.53318566,0.55380434,0.5478511,0.52034765,0.48635498,0.46025953,0.44701067,0.44278666,0.44078195,0.43790606,0.43565938,0.43720236,0.44309178,0.45140007,0.45904884,0.46398485,0.46389613,0.45688972,0.44035414,0.4163017,0.39225754,0.38542283,0.40822718,0.4604797,0.51886874,0.5586129,0.56596917,0.55064917,0.52794737,0.50938547,0.4960755,0.48612663,0.47880912,0.4746708,0.47418952,0.47519246,0.4748118,0.47238696,0.47309723,0.48591423,0.5137329,0.547362,0.5686374,0.5677492,0.5517885,0.5395333,0.5422148,0.5538804,0.5581093,0.54342073,0.5130988,0.4787078,0.45015618,0.42659542,0.40305614,0.37705573,0.35562047,0.34742633,0.35598078,0.37451735,0.3930069,0.40529755,0.41231683,0.41714382,0.41963002,0.415419,0.40169707,0.38251165,0.36989295,0.3752528,0.40089974,0.43682218,0.46959186,0.49141708,0.50231194,0.50392497,0.4947598,0.47195685,0.43727612,0.40228358,0.3870616,0.4085271,0.4642562,0.5277471,0.5649754,0.5602629,0.5252231,0.4859135,0.46128938,0.4549683,0.46112302,0.47401622,0.4931406,0.51699424,0.53948444,0.5480254,0.5357411,0.50669944,0.47643325,0.45797595,0.45511958,0.4610901,0.46755055,0.46956745,0.46777833,0.46538654,0.46513486,0.46743202,0.4700477,0.47058812,0.4673145,0.4611529,0.4530864,0.4447421,0.43598625,0.43016735,0.4331592,0.453061,0.4884292,0.5265586,0.5475339,0.5414538,0.5145572,0.48524687,0.46788454,0.4644476,0.4653691,0.46153525,0.45177785,0.4434136,0.442355,0.44860902,0.4578966,0.4706562,0.49049655,0.51752704,0.54046154,0.5456386,0.52929455,0.5051519,0.4916968,0.49777314,0.51507884,0.5296195,0.533923,0.5328648,0.5349409,0.54370326,0.55405354,0.55838245,0.5517071,0.53531533,0.51274294,0.48736915,0.45884752,0.42930257,0.40684405,0.40712407,0.43895534,0.49358281,0.54365486,0.5640197,0.54911083,0.5147084,0.480018,0.4520078,0.4253532,0.39453265,0.36448368,0.3498498,0.36185944,0.39757136,0.43739417,0.46344355,0.47308317,0.48346066,0.5096114,0.5495979,0.5818077,0.5876088,0.56606555,0.53399765,0.50818825,0.4939402,0.48721156,0.4836031,0.48474145,0.49522686,0.51711076,0.5450507,0.56841195,0.5798921,0.581706,0.58322865,0.59001595,0.5968308,0.5928915,0.57281154,0.54551154,0.5267081,0.5271782,0.5407154,0.5515249,0.5478613,0.5339303,0.52314353,0.52306074,0.5268438,0.5198238,0.49464825,0.45708236,0.42081705,0.39458707,0.37795553,0.36323917,0.34420153,0.31930068,0.29280484,0.2702023,0.25536826,0.2480846,0.24548195,0.24370253,0.24072254,0.23673804,0.23458044,0.23700953,0.24526124,0.256489,0.26529235,0.26639,0.25893962,0.24747635,0.2395529,0.24110122,0.25225177,0.26563144,0.26961878,0.2555867,0.22520132,0.18889175,0.1581982,0.13725798,0.12363862,0.1133261,0.10531836,0.1007516,0.100349076,0.102977626,0.10578289,0.10587432,0.101714395,0.094369285,0.08653941,0.081011,0.0789495,0.0801386,0.08374096,0.089303724,0.096117325,0.102772154,0.106971644,0.107583284,0.10575671,0.10531566,0.11046528,0.12449249,0.14745574,0.17668931,0.20682365,0.23405886,0.256457,0.27437887,0.28595063,0.2877234,0.27607638,0.25231794,0.22346179,0.20031385,0.19165729,0.20111425,0.22658168,0.26317605,0.30339482,0.3388931,0.3610718,0.36555588,0.35138455,0.3216946,0.28113955,0.23810948,0.20238988,0.18373185,0.1861484,0.20723872,0.23785539,0.26774883,0.28896853,0.29931763,0.29981008,0.29178357,0.2744085,0.24686313,0.21183355,0.17665005,0.14977396,0.13652875,0.13817413,0.1540405,0.18216556,0.21840532,0.25613275,0.2894697,0.3147129,0.33027422,0.33429,0.32668602,0.31056985,0.29310092,0.28077185,0.27672276,0.2787744,0.28252795,0.28247163,0.27478823,0.25691757,0.22961968,0.19571573,0.16042322,0.12857948,0.10481235,0.09241375,0.09377921,0.107863106,0.1296465,0.1510855,0.16646288,0.17485619,0.17938711,0.18225841,0.18330777,0.18154876,0.1781405,0.17575653,0.17596911,0.17763977,0.17812389,0.17558038,0.16977434,0.1612763,0.15011531,0.13565837,0.117636584,0.09744465,0.078172326,0.06299244,0.05317984,0.047539163,0.043623906,0.039657462,0.03558816,0.03310277,0.03442425,0.04087466,0.051463053,0.06346589,0.07311291,0.07750741,0.07463009,0.06552955,0.054472167,0.048992153,0.055587858,0.075640865,0.10512016,0.13908033,0.17923598,0.23089506,0.29465997,0.3551362,0.3900455,0.38536188,0.34987387,0.30533406,0.2715141,0.25350654,0.24611312,0.24103092,0.2334161,0.2218743,0.20717706,0.1903596,0.17221403,0.15345263,0.13484022,0.11693656,0.0996621,0.0826676,0.069203205,0.06937183,0.10228159,0.18064995,0.297768,0.41592446,0.49301967,0.5045972,0.46542498,0.4071782,0.36078253,0.3361633,0.33002782,0.33182934,0.33405843,0.33300233,0.32897785,0.3235537,0.32078943,0.32750872,0.35442337,0.40438294,0.4676242,0.5186822,0.5396421,0.52910566,0.506593,0.4875255,0.47446933,0.4549388,0.42042908,0.37367153,0.32808492,0.29505727,0.2774705,0.2706294,0.268401,0.266543,0.26177683,0.25163442,0.23533873,0.21562465,0.19658907,0.18142442,0.17043404,0.16237226,0.15564603,0.14936417,0.14353265,0.13902839,0.13723798,0.13894588,0.14361118,0.14978033,0.15783691,0.17123975,0.19533801,0.2283489,0.2596803,0.27357697,0.26927316,0.26548067,0.29155576,0.3571978,0.43992424,0.49810037,0.5029909,0.45930293,0.39504078,0.3395679,0.30489543,0.29011616,0.29033017,0.30627993,0.3379021,0.37778643,0.4063108,0.4055805,0.3714129,0.31934118,0.26986435,0.23624718,0.21833223,0.20995958,0.20467412,0.19936502,0.19325845,0.18735848,0.18274032,0.17985158,0.17822982,0.17768542,0.17820047,0.1792081,0.17862529,0.17754191,0.18398291,0.21521543,0.2806901,0.37002662,0.44681868,0.4778285,0.45363843,0.3980937,0.34258148,0.30765608,0.2940612,0.2943512,0.3000933,0.30788493,0.31486535,0.31877688,0.31557378,0.30811855,0.30795333,0.33513096,0.3973216,0.47930518,0.5420646,0.556874,0.524455,0.47872213,0.4492744,0.44245335,0.43774632,0.41794482,0.3806398,0.3395253,0.30593184,0.28389275,0.27022326,0.26227808,0.25977507,0.26380304,0.2737825,0.28596973,0.29511774,0.29776105,0.29482436,0.29027927,0.28816524,0.2897767,0.29450288,0.30115396,0.30964208,0.31897986,0.3263408,0.32640588,0.31700304,0.30191055,0.29164132,0.293422,0.30678645,0.32215574,0.33486375,0.34949455,0.38093483,0.4352378,0.50208443,0.5544291,0.57100874,0.55029374,0.5108204,0.47331393,0.44727612,0.43115416,0.42179748,0.4202839,0.4313108,0.45513785,0.48468328,0.50457907,0.50337666,0.4795811,0.44441748,0.40952015,0.37947586,0.34953225,0.31383133,0.27261177,0.23458858,0.21265161,0.21535335,0.24165519,0.2799988,0.31560823,0.33620748,0.33903012,0.3285234,0.31424597,0.3018298,0.29316774,0.28766444,0.2873963,0.29429936,0.30533278,0.31346154,0.31289265,0.30564615,0.2978798,0.29456756,0.29481125,0.29348865,0.28629664,0.27349472,0.26155493,0.25771487,0.26510882,0.2794583,0.2940847,0.30424643,0.30921972,0.30896923,0.30289742,0.29158804,0.27988562,0.27595708,0.28550306,0.30616328,0.32775438,0.3390471,0.33510563,0.3185098,0.29498926,0.26797664,0.2375139,0.20259266,0.16420822,0.12622793,0.09354233,0.06962238,0.054801434,0.04697697,0.04309116,0.040683027,0.038358655,0.03564276,0.032716315,0.029877834,0.027460674,0.025466027,0.023916489,0.022634469,0.021545865,0.02044203,0.019292802,0.018087454,0.01692024,0.01580718,0.015088898,0.01628274,0.022701675,0.03828155,0.06369325,0.094028056,0.120595075,0.1384352,0.14968841,0.16076428,0.17324889,0.18212296,0.18192929,0.17685199,0.18110348,0.20812373,0.25825268,0.31603572,0.36204663,0.38542154,0.38878295,0.37994277,0.36292204,0.33576497,0.29718748,0.25391522,0.22026299,0.20995873,0.22653861,0.2609073,0.2977077,0.32454368,0.33717415,0.33836892,0.33378184,0.3283703,0.3247553,0.32243848,0.3195984,0.31357974,0.3038704,0.28996345,0.27329877,0.2542656,0.23445345,0.21400554,0.19345945,0.17284708,0.15422525,0.14206503,0.14373888,0.16457498,0.20347887,0.24914551,0.28682172,0.30469382,0.30062926,0.2781622,0.24416548,0.2055906,0.17206264,0.15379603,0.1594901,0.1893025,0.23464136,0.27911153,0.30852005,0.31530258,0.30210337,0.27564618,0.2433864,0.20982222,0.17768551,0.14800504,0.12126093,0.097762965,0.07840847,0.06422686,0.05567928,0.05206861,0.051920127,0.05350935,0.055371,0.05621609,0.055330086,0.0523794,0.04799484,0.0430187,0.038934495,0.03675258,0.037259955,0.04003588,0.044109683,0.047863185,0.050315574,0.05280529,0.061325748,0.085239954,0.1304216,0.19138707,0.25130945,0.29305792,0.31124628,0.31385186,0.31345963,0.31674123,0.32246664,0.32355365,0.3149508,0.29730454,0.2802229,0.2736856,0.2813513,0.29601386,0.3086035,0.31411585,0.31418362,0.31087467,0.30510536,0.29661837,0.28715578,0.27927005,0.2746987,0.27206317,0.26845774,0.26215735,0.2544227,0.24752413,0.24136113,0.23304307,0.219889,0.20382017,0.19201048,0.19367538,0.21349283,0.2476052,0.28454325,0.31279317,0.3269614,0.32962406,0.3261718,0.3210595,0.31601563,0.3120004,0.30875212,0.3043543,0.29410234,0.2740151,0.24402978,0.21161574,0.188582,0.18649967,0.20829046,0.24634473,0.28484133,0.31070688,0.32026327,0.31986237,0.31750625,0.3167225,0.31615865,0.31376413,0.3098121,0.30544674,0.2999988,0.28927466,0.26855496,0.23788929,0.20520951,0.18222308,0.17404912,0.17436469,0.17010415,0.15615606,0.14086069,0.14168504,0.16794918,0.21386014,0.26022702,0.29129186,0.3023906,0.301114,0.2957541,0.29112566,0.28756377,0.2855543,0.28473496,0.2831255,0.27550885,0.2575225,0.22878875,0.19733013,0.17674066,0.17981578,0.20896113,0.25249228,0.29180002,0.31212047,0.31259993,0.3011951,0.28772712,0.2742037,0.259811,0.24508213,0.23701082,0.24171416,0.25950333,0.28152564,0.29764283,0.30190778,0.2979433,0.2934339,0.29592285,0.30563042,0.3181399,0.32703093,0.3301902,0.32898852,0.32712018,0.32671693,0.32805407,0.32950738,0.32975197,0.3279136,0.32321978,0.31351504,0.29751018,0.27799988,0.26254642,0.2579222,0.26382282,0.27354816,0.28076068,0.28523716,0.29031658,0.29715738,0.3017752,0.29857263,0.2850083,0.26404366,0.24173248,0.22346413,0.21049249,0.20138784,0.19517583,0.19400758,0.20006366,0.21171404,0.22282916,0.22801465,0.22661018,0.22198188,0.21636933,0.20930414,0.19959606,0.189182,0.18183927,0.17975952,0.1802922,0.17759,0.1666221,0.14672568,0.121969186,0.09810173,0.079102315,0.06535312,0.05502959,0.046372905,0.038863953,0.032794934,0.02822498,0.024866143,0.022310002,0.020421727,0.01915105,0.01833868,0.017680407,0.016957039,0.016133144,0.01529286,0.014438141,0.013592913,0.012771004,0.01206481,0.011848464,0.013865787,0.022079086,0.041345466,0.07306389,0.11156466,0.1456189,0.16576327,0.17019911,0.1648302,0.1571641,0.15179254,0.14935897,0.14985372,0.1541636,0.1647767,0.18167154,0.20176224,0.21834935,0.22829743,0.23324823,0.23992912,0.25229728,0.26924285,0.2850453,0.29490843,0.29793558,0.2962711,0.29232332,0.2866374,0.27918008,0.27098784,0.26467928,0.2617168,0.25977027,0.2527945,0.23848374,0.22600813,0.2381509,0.29330537,0.3858749,0.4786481,0.53001046,0.5238412,0.48060226,0.43385252,0.40460804,0.39352274,0.3917335,0.39298674,0.39577165,0.4006721,0.4063669,0.41046515,0.41306448,0.419816,0.44007587,0.47477826,0.5120109,0.52875924,0.51315844,0.47096184,0.42609453,0.3969899,0.3889728,0.3911021,0.39244214,0.3881674,0.382254,0.37841585,0.3772147,0.37608346,0.3748701,0.37551332,0.37947223,0.38328114,0.3816457,0.37205198,0.35917732,0.3505466,0.3513814,0.36062658,0.37333646,0.38349995,0.38676798,0.38184676,0.37099147,0.35859418,0.34718385,0.33518592,0.31790015,0.2935101,0.26689345,0.24817324,0.24500012,0.25653183,0.2752593,0.29259062,0.30439344,0.3090109,0.30633688,0.29561278,0.27794147,0.2566694,0.23757589,0.22628702,0.22461356,0.23047404,0.2399726,0.2524738,0.26965335,0.29192546,0.31408155,0.32811537,0.32981232,0.3227789,0.31483886,0.31139132,0.31229055,0.3154414,0.3202699,0.3282709,0.3390286,0.34894875,0.3530667,0.34971297,0.34212255,0.33587304,0.33304444,0.32897195,0.31457055,0.28725353,0.25903544,0.25744256,0.30327472,0.3923706,0.48726168,0.5470453,0.5523474,0.51749575,0.4684472,0.42396817,0.3888152,0.36140582,0.34186664,0.33253407,0.33609745,0.35110816,0.37139627,0.3903816,0.40619478,0.42466915,0.44833624,0.47238338,0.4815309,0.4695424,0.4415363,0.41593412,0.40262187,0.40164006,0.40255022,0.40021798,0.3956952,0.3950262,0.400226,0.40859464,0.4155489,0.41958997,0.42150107,0.42089173,0.41456103,0.40033257,0.38076806,0.36322352,0.35438773,0.3566405,0.36637866,0.3776312,0.3845276,0.38474682,0.37901184,0.37006387,0.3600236,0.34865662,0.33341452,0.31077248,0.28119397,0.25134012,0.23233761,0.23105448,0.24497978,0.26463997,0.28143892,0.2920064,0.295778,0.2921842,0.28058854,0.26377252,0.24878447,0.24436809,0.25485697,0.27647567,0.29942432,0.31565022,0.32474217,0.3321087,0.34147325,0.34966373,0.3498123,0.33755636,0.3161231,0.29270735,0.2753619,0.26722702,0.26875734,0.2771504,0.29002413,0.3040688,0.31596848,0.32199243,0.3195806,0.30931982,0.29527768,0.2824714,0.27228147,0.2606678,0.24612753,0.23773615,0.25809923,0.3223114,0.42185354,0.5178808,0.57272434,0.5721143,0.5355476,0.49072966,0.45672917,0.43577692,0.42323527,0.41403174,0.40630892,0.40070376,0.3985833,0.40066436,0.40804327,0.42366698,0.45132148,0.4875969,0.51995397,0.5311048,0.51558095,0.4830694,0.45253602,0.43459415,0.42739722,0.42173925,0.41184065,0.39817536,0.38463485,0.3740523,0.36679292,0.36068738,0.3538746,0.3462224,0.3403666,0.33777514,0.3372037,0.3351569,0.33035806,0.3241507,0.3185102,0.3125761,0.30286816,0.2862289,0.26383927,0.24373692,0.23662086,0.2485197,0.27399814,0.30030188,0.31551328,0.31575117,0.30383024,0.28595906,0.26887247,0.25850448,0.25785258,0.26558045,0.27646872,0.2845147,0.2851987,0.27793288,0.26521802,0.25202215,0.24271809,0.24037774,0.2459981,0.2598736,0.28160432,0.3099855,0.34046185,0.36507222,0.37468636,0.3662965,0.34637308,0.3274105,0.3187084,0.3199378,0.3246584,0.3265107,0.32513538,0.32351363,0.32493106,0.32888904,0.33283535,0.33519056,0.3386,0.3474746,0.36215365,0.3758285,0.37905955,0.37123486,0.36540747,0.3820127,0.4282159,0.48830244,0.5301226,0.5329526,0.4998015,0.45355842,0.41377124,0.38907167,0.37726596,0.3750337,0.378082,0.38260952,0.38503215,0.38443244,0.38294864,0.38526464,0.39792442,0.42432022,0.46006474,0.49061093,0.500488,0.4846592,0.4535967,0.4244567,0.40738216,0.40045908,0.3948475,0.38543415,0.37356654,0.36431956,0.35980785,0.3581339,0.35590422,0.35234573,0.34930333,0.3480647,0.34656274,0.34059083,0.327683,0.309913,0.2923871,0.27870357,0.26752183,0.2534457,0.23329294,0.21023083,0.19430393,0.19359179,0.20887338,0.23049474,0.24770725,0.25433406,0.2529636,0.24836065,0.24434654,0.24228199,0.24407555,0.25127247,0.26289943,0.27396688,0.27841052,0.27286175,0.25909647,0.2417682,0.22482383,0.2082399,0.1896621,0.16836494,0.149125,0.14097773,0.15155838,0.17911679,0.21051659,0.22745125,0.22057474,0.19676377,0.17541291,0.17287748,0.192783,0.2257678,0.26028728,0.28960034,0.3135759,0.33330834,0.34835505,0.35655162,0.35728338,0.35270658,0.34573197,0.33611774,0.3192229,0.2918401,0.26108587,0.24701792,0.27102548,0.33560634,0.41761944,0.48052272,0.5026004,0.48520458,0.4479077,0.40764406,0.37569034,0.35593155,0.35037628,0.3565148,0.36862972,0.3800032,0.38606143,0.38725138,0.38858053,0.39901045,0.42284513,0.4544938,0.47643146,0.47352135,0.44449648,0.40639225,0.38043806,0.37728986,0.39148545,0.408999,0.42020836,0.4234611,0.42286146,0.42037997,0.4163308,0.41090742,0.40707085,0.40718278,0.4105244,0.4134265,0.41289583,0.40930757,0.40512076,0.40268135,0.4017677,0.40115485,0.3993832,0.3969339,0.39459231,0.39310393,0.3916202,0.38914514,0.38500455,0.37976065,0.37440658,0.37039867,0.36825714,0.36746955,0.36549878,0.36123964,0.3558397,0.3532469,0.3540193,0.3546439,0.3490945,0.33665466,0.32181308,0.31169078,0.30855834,0.30921912,0.3062225,0.29533896,0.2800655,0.27179042,0.28014863,0.30403492,0.33180392,0.35181776,0.3617555,0.36668113,0.37053755,0.36922845,0.3544033,0.32173297,0.27860558,0.24099116,0.2234691,0.22920132,0.24966693,0.27234158,0.28858462,0.295723,0.2951588,0.28968355,0.28293887,0.27768514,0.2754861,0.27553838,0.27643052,0.27675053,0.27617228,0.27492252,0.27331516,0.27156258,0.26957288,0.26747432,0.2651762,0.26295826,0.26143116,0.26205298,0.2659316,0.27249086,0.27920303,0.28290105,0.28220746,0.27752948,0.27078864,0.26346108,0.25696874,0.25219765,0.25050864,0.2527434,0.2585752,0.26522708,0.2687011,0.26617467,0.25802723,0.24733001,0.23731695,0.22979073,0.22504838,0.2236352,0.22680534,0.23551428,0.2483449,0.2613541,0.27060577,0.2748364,0.27564403,0.27518892,0.2742343,0.27270445,0.27065292,0.26944235,0.27092102,0.27710462,0.28847703,0.30317676,0.3171123,0.32627866,0.3292178,0.32747185,0.32388785,0.3207425,0.3192308,0.320233,0.3248566,0.33375296,0.346041,0.35933778,0.37200305,0.38547194,0.40289366,0.42508698,0.44717392,0.4623702,0.4688742,0.47382453,0.48712733,0.51101303,0.5358129,0.5475375,0.5403662,0.5204571,0.5002171,0.48782137,0.48423028,0.48461565,0.48399392,0.4804339,0.4746062,0.46705154,0.4526142,0.424108,0.3765963,0.31624973,0.25601384,0.20938599,0.18255581,0.17820203,0.20121904,0.25971982,0.3527149,0.46155772,0.55240154,0.59975505,0.6004579,0.5748059,0.5449287,0.5221367,0.5035282,0.48388007,0.462755,0.44702315,0.4437207,0.45450667,0.47263506,0.49008092,0.50420755,0.52184683,0.54766434,0.5759914,0.58711237,0.568264,0.525206,0.4859427,0.47462976,0.49674043,0.5340114,0.5651968,0.57942253,0.5813723,0.5805475,0.5837802,0.5922865,0.60481805,0.6189846,0.630634,0.6333857,0.62051433,0.5891202,0.54252094,0.49071386,0.44688773,0.42236495,0.42013088,0.43292198,0.44824782,0.457935,0.4633931,0.47147098,0.48680195,0.5074373,0.5294027,0.5503159,0.57031846,0.5854948,0.58703065,0.5667205,0.5285081,0.4917771,0.47954205,0.5003068,0.5387582,0.5684085,0.572164,0.55405307,0.53076524,0.5162885,0.512516,0.51416254,0.5163916,0.52166504,0.53418106,0.5548009,0.575732,0.5879981,0.58823377,0.5818264,0.5760815,0.57398224,0.57294434,0.56962365,0.56246346,0.5538116,0.5462995,0.5428629,0.5421302,0.541179,0.53548366,0.5243886,0.50965416,0.49562904,0.48492506,0.48046112,0.48450005,0.5010533,0.5282294,0.5572338,0.5723899,0.56555206,0.5415866,0.516049,0.5008914,0.49761245,0.5000846,0.50255376,0.5030713,0.5016761,0.49699405,0.48606014,0.46633694,0.44128862,0.4223968,0.42568886,0.45775414,0.50814295,0.5530893,0.57604367,0.57793134,0.573601,0.57453007,0.5807991,0.58478284,0.57927024,0.5625246,0.5362797,0.50471234,0.4718702,0.44180384,0.4174874,0.4017643,0.39653942,0.40153325,0.41237104,0.42336297,0.43279043,0.44613275,0.46952024,0.50009257,0.5228041,0.5218858,0.49413216,0.45273864,0.41592917,0.39541718,0.39119864,0.3979,0.4092648,0.4239293,0.44082353,0.45932412,0.4738762,0.48244417,0.48787454,0.5024939,0.53391176,0.577203,0.6100636,0.61163074,0.5785486,0.53100306,0.494038,0.4787726,0.4771668,0.47629467,0.47283328,0.47583556,0.49509346,0.5296146,0.5645385,0.58213776,0.57410365,0.5476523,0.5184037,0.499076,0.49224567,0.49158946,0.48972014,0.4838594,0.47701144,0.4732317,0.47378337,0.4769322,0.4798939,0.48069796,0.4771204,0.46746647,0.45130035,0.43354237,0.4243096,0.43731678,0.4781972,0.5381847,0.5933279,0.62253565,0.6199327,0.59763485,0.5710086,0.548786,0.5320588,0.5197742,0.51149446,0.5060491,0.5017144,0.49720392,0.49319014,0.49333867,0.50329304,0.5280196,0.5637257,0.59736896,0.61263984,0.6050754,0.5848102,0.5686247,0.5644265,0.5664904,0.5624046,0.5446312,0.51677626,0.48882374,0.46891937,0.45664063,0.44657746,0.43465078,0.42386153,0.42081144,0.42953786,0.44685116,0.46489692,0.47748712,0.4834489,0.485195,0.4837921,0.47692823,0.46199116,0.44062927,0.42235634,0.41797337,0.4330025,0.4611138,0.49151647,0.5151921,0.53016937,0.5359392,0.5309101,0.51176363,0.48039094,0.44720182,0.43064296,0.44363752,0.48123017,0.5181626,0.5278611,0.5039707,0.46410927,0.43414629,0.42649546,0.43758368,0.45498708,0.47225642,0.49091205,0.5161274,0.54638195,0.57023436,0.57454014,0.55553454,0.52388006,0.49526283,0.48012087,0.47821215,0.484115,0.49205264,0.4990107,0.5025677,0.50121063,0.49444005,0.4844084,0.47414806,0.46663618,0.4624367,0.46042237,0.45727322,0.4525669,0.45121887,0.4647052,0.4991704,0.5471894,0.5860627,0.5963822,0.5747687,0.53815717,0.5063029,0.49018216,0.4847932,0.48000756,0.46872768,0.4545147,0.44497946,0.4453651,0.45340702,0.46571422,0.48242792,0.50745624,0.5392702,0.56797725,0.58004135,0.5718275,0.55345774,0.541723,0.54532105,0.55916876,0.5715664,0.5756987,0.57444686,0.5744713,0.5789699,0.58491564,0.58663607,0.57968616,0.563657,0.5408223,0.51511294,0.48910525,0.4670323,0.45553854,0.4655068,0.50078875,0.5528614,0.5982285,0.61769277,0.6062312,0.5771323,0.5440572,0.5120947,0.4762311,0.4346403,0.39592648,0.37750053,0.3894122,0.42493984,0.46020386,0.47721353,0.475973,0.47797075,0.4998614,0.5394885,0.5729405,0.5798078,0.5580664,0.5251776,0.49834085,0.48340866,0.4747751,0.46749914,0.46258578,0.46630907,0.48203298,0.50599957,0.52900606,0.54421717,0.5527577,0.5603931,0.57015485,0.57707286,0.57332426,0.5551378,0.52902704,0.5064755,0.49761602,0.5015697,0.51099235,0.5169379,0.5199859,0.524501,0.53370005,0.53984034,0.5321272,0.5039689,0.46195558,0.4191812,0.38785198,0.37151858,0.3671641,0.36876333,0.37112784,0.37094784,0.36670795,0.35890946,0.34872356,0.33773044,0.32665238,0.31760582,0.3136748,0.3191633,0.3348337,0.3576381,0.3808553,0.3992567,0.41059983,0.41560134,0.41576198,0.41191232,0.40480337,0.3936906,0.37666818,0.35091352,0.31687847,0.27953735,0.24565363,0.21897136,0.19819403,0.1804923,0.1644526,0.15154631,0.14424723,0.14423603,0.15064597,0.15952994,0.16565233,0.16511549,0.15754513,0.14530762,0.13186626,0.12003725,0.11226367,0.1108029,0.118103586,0.13414143,0.15544601,0.17453635,0.18553644,0.18727107,0.18530424,0.18696369,0.19679199,0.21362539,0.23235476,0.24895899,0.26352832,0.27953064,0.29883632,0.31806335,0.33014664,0.3285028,0.31246582,0.2878944,0.26575762,0.25586602,0.2624369,0.28200155,0.30701077,0.32946506,0.34378633,0.34716105,0.33975443,0.32287416,0.29753408,0.26468575,0.22885899,0.19992803,0.18965735,0.20408355,0.2386514,0.28041893,0.31564617,0.33657697,0.34269586,0.33718908,0.32221565,0.29820672,0.26612818,0.23112251,0.20193887,0.18776013,0.19326842,0.21664578,0.24975984,0.2817965,0.3034013,0.31041336,0.30422434,0.2895894,0.27215147,0.25666502,0.2469259,0.24469213,0.24936165,0.25768065,0.26583767,0.27163693,0.27508286,0.27624592,0.2726209,0.25979352,0.23498748,0.20036896,0.16253884,0.12888278,0.10535941,0.09548991,0.10135191,0.120730855,0.14739381,0.17154473,0.18689787,0.19201756,0.19069119,0.18616183,0.18062508,0.1744778,0.16786115,0.15954457,0.14785221,0.13228665,0.11488008,0.09871679,0.08551198,0.07481585,0.06526185,0.056019183,0.047138628,0.039116982,0.03245863,0.027367296,0.023600182,0.020569852,0.01777186,0.015372303,0.01447842,0.016968487,0.024459928,0.037315607,0.053957317,0.07144796,0.085774906,0.09300601,0.09024676,0.07853876,0.063172795,0.052505713,0.05337886,0.06870883,0.096390724,0.13012972,0.16080417,0.17975014,0.18434925,0.18120158,0.18252607,0.19676025,0.22134928,0.24553412,0.25915143,0.2604587,0.25462627,0.24796712,0.24188404,0.23324716,0.21764606,0.19376184,0.163728,0.13165097,0.10100934,0.074226394,0.052858964,0.037946995,0.029465005,0.025880592,0.024573522,0.023028782,0.020017624,0.015854219,0.01173225,0.008782288,0.0074264244,0.0072960625,0.007540542,0.0074164025,0.0067017376,0.005734353,0.0049797627,0.0046397727,0.004539743,0.0043472904,0.003852183,0.0031097976,0.0024015584,0.0020069648,0.002005487,0.0022216074,0.0023832608,0.0023050986,0.001982716,0.0015471996,0.0011595517,0.0009075397,0.00077897817,0.0007073201,0.00065292575,0.00062331866]