[0.0026232956,0.0058881403,0.0146898,0.029109484,0.046726942,0.06293042,0.07363683,0.07780998,0.07759207,0.075977646,0.074825965,0.074256875,0.073735334,0.07282569,0.07155614,0.069967605,0.06807793,0.06596419,0.06409395,0.063140385,0.06344888,0.06469775,0.06603765,0.06690374,0.067330845,0.067876406,0.068786114,0.06976911,0.07014655,0.069583304,0.06824901,0.06670654,0.065406285,0.06462388,0.06445331,0.06509859,0.06670631,0.069234364,0.07209769,0.07448897,0.07576916,0.07590938,0.075260945,0.0741465,0.07263217,0.07059737,0.068004854,0.06495548,0.06175849,0.058818895,0.056598883,0.055516135,0.055800393,0.05725533,0.059156384,0.060704976,0.06167042,0.0625664,0.06391481,0.06549341,0.066532396,0.06670922,0.066800356,0.06794229,0.070399545,0.0731949,0.07517033,0.07631499,0.07736712,0.0788113,0.079829834,0.07982395,0.07936144,0.080744945,0.08575145,0.094216,0.10372188,0.11194829,0.1187287,0.12618844,0.13616009,0.14768292,0.15700205,0.16069919,0.15853867,0.15350777,0.14890857,0.14572056,0.14282568,0.13895442,0.134364,0.1301138,0.12683903,0.124024086,0.12069368,0.11622757,0.11070302,0.10467121,0.09880674,0.0935222,0.08888033,0.08445946,0.07988062,0.07507307,0.070732124,0.06779625,0.06692939,0.06794301,0.069960535,0.07194281,0.07309459,0.07314602,0.072091036,0.07017139,0.06762218,0.064932875,0.06271283,0.061516613,0.061389625,0.06200705,0.06326023,0.06573725,0.070109986,0.07619626,0.08246247,0.087172665,0.08951935,0.090079606,0.089897655,0.089741714,0.090132065,0.09173381,0.095089644,0.09975871,0.1039642,0.10585037,0.10507482,0.10350215,0.10367715,0.10690328,0.11220663,0.11751893,0.12136803,0.123676755,0.12474501,0.12418732,0.12122435,0.116057396,0.11049285,0.106637515,0.10515603,0.104877196,0.10437784,0.10368138,0.104047924,0.10645238,0.11110186,0.11948802,0.13634382,0.16708706,0.21201234,0.26247218,0.30542088,0.33206132,0.34321275,0.34587297,0.3451252,0.33970597,0.32489944,0.30063915,0.27547598,0.26296574,0.27137324,0.2974739,0.32847533,0.35187367,0.36254683,0.3635559,0.36049342,0.35754395,0.35609236,0.35609624,0.35592422,0.3536513,0.34792253,0.3402857,0.33328477,0.32897654,0.3259463,0.3214978,0.31390712,0.3049939,0.29753003,0.29064664,0.27858183,0.25589237,0.22571349,0.20168602,0.19929463,0.22485657,0.26933792,0.31618738,0.3506472,0.3682069,0.37189385,0.36855838,0.36381912,0.36092553,0.36019596,0.35943866,0.3550218,0.34306657,0.32170692,0.293013,0.26309425,0.23887354,0.22348686,0.2157289,0.21330385,0.21672238,0.2280639,0.24731606,0.2703934,0.29166195,0.3069388,0.31478477,0.3153434,0.31018445,0.301365,0.29019392,0.27489302,0.25180757,0.21943952,0.18284617,0.15285532,0.14040355,0.14984459,0.17633103,0.20887923,0.23657227,0.2537276,0.26087847,0.26195458,0.2609075,0.2600255,0.26047245,0.26261333,0.26587287,0.26790702,0.2658184,0.25811616,0.24746515,0.23881252,0.23587716,0.23566079,0.23139018,0.21832657,0.2021695,0.19473273,0.20578712,0.23292333,0.2655432,0.29205897,0.3079878,0.31409684,0.31346607,0.30862525,0.30208102,0.2961669,0.29209685,0.28961965,0.2876841,0.28605437,0.2851365,0.28529143,0.28584084,0.28584516,0.28476536,0.28272977,0.2795343,0.27443907,0.26661456,0.25656512,0.24635285,0.2385617,0.23476227,0.23453586,0.236416,0.23791869,0.2366669,0.23023427,0.2185302,0.203788,0.19102281,0.18520384,0.18981497,0.20378393,0.2212108,0.23384817,0.23726512,0.23536468,0.23738122,0.25080112,0.2744959,0.30057457,0.31908178,0.32424843,0.31487754,0.29346195,0.26313573,0.22752787,0.1905051,0.15668732,0.12968756,0.111124456,0.10001554,0.09434685,0.091908135,0.091020726,0.09024236,0.088649005,0.085871495,0.08212925,0.07800991,0.07442152,0.07254227,0.07343045,0.077344425,0.08328422,0.089149565,0.09299209,0.09606742,0.105150916,0.13209713,0.18416643,0.25622097,0.32707343,0.37356448,0.38216576,0.3571217,0.31249556,0.26416552,0.22427078,0.20078443,0.2000904,0.22343302,0.2660254,0.3136934,0.35215804,0.37300715,0.37926158,0.37797734,0.37443838,0.3688083,0.35905537,0.34345055,0.3209761,0.291804,0.25901458,0.23010369,0.21492839,0.21880747,0.23817694,0.26077828,0.27446842,0.27276275,0.2585084,0.23856348,0.22055547,0.20827675,0.20396517,0.20964587,0.2276813,0.25647774,0.28742206,0.30865034,0.3117888,0.29726908,0.2712133,0.2410797,0.21306147,0.19327748,0.1884519,0.20198615,0.23107894,0.26612732,0.2977009,0.3205727,0.33534375,0.34391347,0.3479285,0.34815815,0.34589648,0.3421379,0.3369229,0.3293102,0.31794906,0.30125841,0.27651608,0.24248378,0.20231195,0.16647924,0.14593504,0.1446218,0.1536981,0.1591518,0.15147428,0.1325634,0.11119884,0.09564883,0.089083396,0.09142471,0.10160533,0.11760211,0.13449486,0.14641319,0.14987989,0.14660944,0.14090051,0.1362828,0.13370444,0.1327324,0.13307834,0.13466942,0.1375884,0.14223532,0.14953345,0.16018866,0.17277865,0.18354952,0.18767993,0.18287118,0.17147706,0.15935135,0.15202804,0.15035202,0.15160382,0.15208946,0.1507842,0.1480316,0.14447016,0.14027935,0.13579412,0.13121046,0.12575562,0.11842862,0.10933528,0.100371815,0.093729585,0.09023606,0.08876154,0.08752235,0.08536155,0.08246725,0.07963732,0.0776493,0.07670289,0.07667684,0.07722703,0.07806682,0.07892427,0.07959914,0.07991177,0.07970578,0.07894648,0.07771779,0.07632804,0.0751384,0.07449388,0.07455652,0.07534791,0.076752014,0.07845422,0.07997496,0.08081665,0.080840565,0.08032826,0.07974503,0.0791303,0.077851176,0.074928135,0.06990244,0.06334117,0.05656534,0.05078948,0.0465527,0.043767933,0.042106077,0.041215647,0.040763114,0.04044642,0.040063974,0.039508197,0.03877455,0.037993763,0.0374514,0.037442297,0.038084354,0.03930427,0.041003566,0.043226514,0.0460383,0.05012912,0.05789325,0.074843936,0.10694852,0.15619604,0.21615781,0.2757044,0.32478794,0.35924605,0.37853166,0.3837353,0.3785703,0.36984217,0.3654412,0.36726633,0.3718109,0.37290105,0.36914948,0.36316025,0.35920262,0.3589786,0.3615475,0.36479843,0.36654833,0.36524317,0.36000612,0.35164836,0.34252658,0.33551934,0.33296868,0.3355912,0.34344378,0.35399017,0.36453155,0.37112585,0.37336978,0.37097192,0.36543357,0.35673702,0.34658542,0.3369507,0.32989585,0.325532,0.32216004,0.3170673,0.30795085,0.29384175,0.27596965,0.25613412,0.23688875,0.22118266,0.2148505,0.2229135,0.24620211,0.27675226,0.30349243,0.31784067,0.3194945,0.3128117,0.30331695,0.29375386,0.284969,0.27663362,0.26899493,0.26259837,0.25835988,0.25701487,0.26048955,0.27187535,0.2934873,0.3232932,0.35419336,0.37813807,0.39086366,0.3938354,0.39091122,0.38431785,0.37277904,0.35454953,0.33205676,0.31240368,0.30238116,0.302255,0.30665532,0.30986428,0.31031063,0.3087848,0.30540302,0.299328,0.29054797,0.28069043,0.27058086,0.25930235,0.24496593,0.22778435,0.21036518,0.19604164,0.18603802,0.17891042,0.17176084,0.16230506,0.15009935,0.13656159,0.123817384,0.11353794,0.10619274,0.10166245,0.09943739,0.0995524,0.10262937,0.110824816,0.12618668,0.1488771,0.17583793,0.20379144,0.23343845,0.26838064,0.31026146,0.35198584,0.3821584,0.39142558,0.38114682,0.36031702,0.3400673,0.3261622,0.3180035,0.31206107,0.30536792,0.29692915,0.28475997,0.26677147,0.24241483,0.2180598,0.2036752,0.2093649,0.23573275,0.27524987,0.31298974,0.3372695,0.34216693,0.33159372,0.3137697,0.298025,0.28876165,0.2843884,0.27889726,0.26700422,0.24856912,0.22778608,0.20971449,0.19665273,0.18942696,0.18875293,0.19448192,0.20265698,0.20596696,0.19892116,0.18264943,0.1646085,0.15369993,0.1558219,0.17221688,0.19938825,0.23004794,0.25519192,0.26779237,0.26501283,0.24790442,0.21976043,0.1862147,0.15644264,0.1423542,0.15259583,0.18647026,0.23150128,0.27103359,0.29309484,0.2967253,0.28790295,0.2727953,0.25363964,0.23133503,0.21013398,0.19713093,0.19726624,0.20754938,0.21882123,0.22262098,0.21859683,0.21375106,0.21589454,0.22673018,0.242453,0.258828,0.27475336,0.29069778,0.30550644,0.3172219,0.32499692,0.33005235,0.33285055,0.3326024,0.32901436,0.32457754,0.3231943,0.3265091,0.3321941,0.33591175,0.33498523,0.33044434,0.32558528,0.32329634,0.32356092,0.3240086,0.32171115,0.31539258,0.30544928,0.29256946,0.2761804,0.25509334,0.22942157,0.20251025,0.17924143,0.16343623,0.15499252,0.15126747,0.14882772,0.14575942,0.1412382,0.13539547,0.12881914,0.122788616,0.11864796,0.11682334,0.11632973,0.11545342,0.113372326,0.11072136,0.108995266,0.109093376,0.110995345,0.11416698,0.118268766,0.12281507,0.12705146,0.13068302,0.13545942,0.14486654,0.16084377,0.1808021,0.1992454,0.21364444,0.228253,0.24943244,0.27900136,0.30994603,0.33310735,0.341912,0.33656833,0.32092658,0.30165243,0.2860981,0.2794843,0.28350332,0.29499435,0.31003892,0.32326803,0.33016717,0.32523397,0.30644676,0.27749145,0.24987507,0.23659451,0.24350087,0.26408926,0.28488588,0.295036,0.29227734,0.28015646,0.2643135,0.2508591,0.24725528,0.2580145,0.2806041,0.30450597,0.32035765,0.32589456,0.3276485,0.3319714,0.33996865,0.34530005,0.34164822,0.32791093,0.31037664,0.29586923,0.2872294,0.28295377,0.28216538,0.28556165,0.2933524,0.3030623,0.31183866,0.31824446,0.32243234,0.32274467,0.31525362,0.29546785,0.2641035,0.2305472,0.21152419,0.22062564,0.25818813,0.3076199,0.34699652,0.36181307,0.35328695,0.33151364,0.30688164,0.28343156,0.26251316,0.24646373,0.24003227,0.24485286,0.25756413,0.27120438,0.2816508,0.28823,0.2920868,0.29198006,0.28592196,0.27451846,0.26392356,0.26269767,0.2742928,0.29409397,0.31222007,0.32235298,0.3218931,0.30980146,0.28433427,0.24936773,0.21861823,0.208246,0.22518761,0.25916395,0.2928283,0.3125826,0.3166742,0.30972528,0.29676434,0.2791706,0.25749245,0.23601697,0.22399478,0.22971904,0.2524906,0.28139925,0.30295584,0.31054989,0.30513278,0.29164377,0.27364135,0.25449005,0.23639667,0.22216158,0.21416165,0.21575205,0.22818309,0.24901192,0.27210465,0.2924573,0.3080394,0.31899646,0.3245041,0.32437113,0.32077873,0.31907824,0.32367048,0.33488354,0.34852472,0.35910085,0.36367884,0.36310688,0.3607688,0.35898873,0.3573449,0.35301602,0.34350702,0.32868132,0.31064305,0.2924033,0.27555332,0.26018164,0.24506558,0.22981185,0.2152285,0.2031839,0.19498104,0.19068564,0.1894982,0.19032377,0.19205295,0.19305731,0.19154853,0.18592812,0.17583108,0.16257368,0.14942642,0.14046997,0.13857798,0.14364298,0.15264153,0.16162771,0.16811271,0.17182253,0.17387857,0.17515655,0.17616345,0.17747499,0.1802594,0.18528427,0.19195445,0.19852884,0.20341861,0.2064237,0.20816688,0.20926388,0.20940842,0.20808275,0.20501204,0.20084001,0.19655192,0.19350089,0.19350667,0.20010084,0.21746899,0.24777949,0.2871749,0.3261939,0.35443512,0.36666837,0.3658621,0.35951474,0.35471442,0.35210323,0.34816155,0.3390477,0.3276496,0.32059884,0.3224562,0.3281342,0.328164,0.31782508,0.30430475,0.29900122,0.3066801,0.32056522,0.33079526,0.3338592,0.3343595,0.33790183,0.34504756,0.3522767,0.3567643,0.35922375,0.3620347,0.36663857,0.3722719,0.37653694,0.3764801,0.37078467,0.3606683,0.34982696,0.340441,0.33261654,0.324227,0.31467414,0.3045127,0.29576215,0.29033542,0.29052874,0.29710865,0.3090789,0.3227196,0.334493,0.34122992,0.34236693,0.33942604,0.33648273,0.33643344,0.33792114,0.33605862,0.32782754,0.3163047,0.3076819,0.30541325,0.30773816,0.3113872,0.31566346,0.32228452,0.33269823,0.34603092,0.36019444,0.37227917,0.37955797,0.3793633,0.3712071,0.3573029,0.3421253,0.33046022,0.32477823,0.3255258,0.3300285,0.33605292,0.3408686,0.3444221,0.34611297,0.34611884,0.34299266,0.3363242,0.3267093,0.3166105,0.30820277,0.30204085,0.29713568,0.29308173,0.29103506,0.29184398,0.29290625,0.28827116,0.27344358,0.24958624,0.22351731,0.20208354,0.18893008,0.18388958,0.18611777,0.19439055,0.20678313,0.21951438,0.22843151,0.23076935,0.22646213,0.2172249,0.20512713,0.19254752,0.1838028,0.18669897,0.20897532,0.2525147,0.30839097,0.36172178,0.40043947,0.4224024,0.4328492,0.4377164,0.43995714,0.44009408,0.43905774,0.4374287,0.43498406,0.42952427,0.41890767,0.40342772,0.38792312,0.3798642,0.38383475,0.3975277,0.41343534,0.4243796,0.42680445,0.4188296,0.39819154,0.36338112,0.31753203,0.26922837,0.22792263,0.19870663,0.17980914,0.16651402,0.15481068,0.14427078,0.13623442,0.13225587,0.132546,0.13634317,0.14232121,0.1486953,0.15341674,0.15458047,0.15149398,0.14503437,0.13732164,0.13050997,0.12580886,0.12309494,0.12155006,0.1205047,0.11997178,0.12006384,0.120364964,0.11980345,0.11753409,0.11367703,0.10916829,0.10500541,0.10153127,0.098876,0.09790947,0.10131324,0.11264002,0.1338015,0.1623761,0.19251435,0.218566,0.23829925,0.25219384,0.261014,0.26528957,0.26652908,0.26734713,0.26839378,0.2664695,0.25688955,0.2396249,0.22262602,0.2171682,0.22929005,0.25391212,0.27950418,0.29587185,0.30080327,0.2979437,0.29272076,0.28789663,0.28315136,0.27596763,0.26347128,0.24447842,0.22213067,0.20501715,0.20489319,0.22867148,0.27318323,0.32483983,0.36995313,0.4009732,0.41916075,0.42749164,0.42793873,0.4200888,0.40463927,0.38335136,0.35866162,0.33187926,0.30387732,0.27585772,0.25031015,0.23032664,0.2190258,0.21784972,0.22550625,0.23714672,0.24742651,0.25401917,0.25983372,0.2700033,0.28700233,0.30776772,0.32477745,0.331437,0.32609782,0.31338677,0.29943898,0.28756106,0.27674994,0.26505387,0.25248554,0.24095766,0.2325476,0.22852384,0.23014326,0.23801012,0.25109026,0.26559317,0.27755454,0.28485373,0.28864896,0.29085723,0.29266146,0.29350865,0.29268324,0.29005054,0.28639725,0.28230235,0.27792084,0.273024,0.26825514,0.26435477,0.26163006,0.25839317,0.2530357,0.24582231,0.24009264,0.2390303,0.24173255,0.24393697,0.24238525,0.24074052,0.24632005,0.2644153,0.2910366,0.31583977,0.3280593,0.3243554,0.3099235,0.29449967,0.28550076,0.28383964,0.28577098,0.28743896,0.2882606,0.28973067,0.2930958,0.2982786,0.30467796,0.31234172,0.32377064,0.34464148,0.3827158,0.4386829,0.5025781,0.55464476,0.5829924,0.58852434,0.5841522,0.5779497,0.57200843,0.5636193,0.55414295,0.5438031,0.53216,0.5148793,0.49199954,0.46463296,0.43611765,0.4059163,0.3737906,0.34072757,0.31159183,0.29240152,0.28769338,0.29802766,0.31924307,0.3441751,0.36614755,0.38141552,0.3882331,0.3853428,0.37525582,0.3690779,0.38430533,0.4297565,0.4948788,0.553026,0.58417296,0.5854616,0.5700299,0.54803056,0.5228655,0.4921914,0.45863852,0.42883825,0.40951502,0.40152812,0.4005841,0.4022611,0.40516135,0.41013515,0.41657564,0.42104936,0.4202262,0.4138827,0.40637442,0.40200785,0.40203443,0.40367755,0.40441445,0.4042153,0.4044979,0.4058596,0.40854314,0.41569686,0.43432617,0.46879458,0.5143354,0.55500597,0.57622313,0.5743754,0.560149,0.5468876,0.5415013,0.54201967,0.54262495,0.5399218,0.533843,0.5275789,0.5234162,0.52264994,0.52436566,0.52751184,0.5303273,0.5319636,0.5334416,0.539843,0.5565517,0.58509207,0.61675495,0.6397496,0.6439199,0.6314929,0.6085921,0.5840785,0.5593564,0.5344456,0.50590056,0.47334743,0.43833366,0.40626845,0.38192585,0.36686993,0.358862,0.35531178,0.35486618,0.3568534,0.35916576,0.35987842,0.35710225,0.3488767,0.3310332,0.30164316,0.2662991,0.2396524,0.23696084,0.2623639,0.30516163,0.34665224,0.37319782,0.38207504,0.37939593,0.37244403,0.36494473,0.35635462,0.34244296,0.31916562,0.28594142,0.25106668,0.22741564,0.22586016,0.24662507,0.2817371,0.32048228,0.35527015,0.3817571,0.3984469,0.4059509,0.4069636,0.4046283,0.4020159,0.40069368,0.4002825,0.39853945,0.39339408,0.3857136,0.37768123,0.3724538,0.3704245,0.37272444,0.3782594,0.3871676,0.39697114,0.40618286,0.41165856,0.4118935,0.4063587,0.39784178,0.3898883,0.38521114,0.3838168,0.38481876,0.38794494,0.39362732,0.4014229,0.4105399,0.42290318,0.445495,0.4835726,0.5328636,0.5755848,0.5959791,0.59327906,0.5852795,0.58810735,0.60047346,0.6054223,0.5894465,0.5566966,0.52182573,0.49599198,0.47910133,0.46630493,0.45507368,0.44528905,0.4368665,0.42747524,0.41578722,0.40126443,0.38457426,0.36454853,0.340452,0.31478402,0.29716215,0.29882386,0.32380152,0.3624737,0.3977555,0.41659188,0.4168999,0.40488753,0.38821748,0.3722568,0.35944295,0.3496522,0.34101665,0.33151686,0.32147786,0.31309566,0.30903265,0.30987528,0.314786,0.32211438,0.33133915,0.34242967,0.35547984,0.36865497,0.3784605,0.38095596,0.37459835,0.36123076,0.344723,0.3284464,0.31466427,0.30401886,0.29638144,0.28884277,0.279622,0.2681577,0.2575851,0.24880506,0.24209662,0.23817627,0.24173208,0.25581446,0.2768983,0.29581803,0.30580357,0.30742645,0.30532184,0.30221996,0.29761934,0.29123256,0.28502965,0.2810652,0.28046846,0.28595746,0.30688116,0.35339418,0.42528352,0.5028556,0.55971414,0.5823106,0.58023113,0.5719613,0.56688493,0.5621912,0.5555148,0.554712,0.5691383,0.5981048,0.6260223,0.6368069,0.6230826,0.59108263,0.552202,0.51751834,0.49134502,0.47128382,0.45249507,0.4340823,0.41935948,0.41050768,0.40529063,0.39981112,0.39280656,0.38479552,0.37610045,0.36595312,0.35533515,0.34622124,0.338769,0.328465,0.30890927,0.27912417,0.24796008,0.23119998,0.23964787,0.27119827,0.31119707,0.34491858,0.36559415,0.37571156,0.37900576,0.37723923,0.37011278,0.3590276,0.34649754,0.3366271,0.33457693,0.3484017,0.3852485,0.44402146,0.51037127,0.5630975,0.58968264,0.5957865,0.59574986,0.5985388,0.59720564,0.5846369,0.56086326,0.5410442,0.5337519,0.5367686,0.53472,0.5225661,0.5092635,0.51070267,0.530598,0.5582714,0.58281124,0.6018043,0.61906594,0.6315461,0.62950915,0.6061919,0.5671857,0.5304846,0.5111389,0.5136556,0.5267878,0.53956467,0.5459842,0.5507811,0.5572755,0.5661464,0.5741448,0.5799575,0.5844267,0.58736885,0.58752245,0.58305335,0.5782955,0.57934827,0.58954525,0.6014499,0.6038232,0.59153175,0.5703283,0.5508325,0.53704405,0.5265026,0.5147013,0.50499,0.50384396,0.5135886,0.52275914,0.514454,0.4779494,0.41967857,0.35662866,0.30754325,0.28419912,0.29225308,0.3308507,0.3902391,0.45112082,0.49043345,0.49665228,0.4758327,0.44731176,0.4273719,0.42164135,0.42779246,0.44363737,0.47040406,0.5064121,0.5433357,0.5675493,0.5716164,0.5588824,0.5405877,0.5251158,0.5142516,0.5061839,0.50169206,0.50378305,0.5126751,0.52106136,0.5186384,0.5004767,0.4719101,0.4420255,0.41423535,0.38473377,0.35179058,0.32526943,0.32154492,0.34653282,0.38424602,0.40807238,0.40457043,0.3846487,0.3694105,0.36911142,0.37910867,0.39361775,0.41830435,0.46167144,0.5218528,0.5786976,0.6117449,0.61361605,0.59635276,0.5763083,0.5632218,0.558297,0.5596387,0.5677628,0.5807433,0.59401864,0.5991731,0.5930574,0.5780339,0.56207865,0.5504423,0.54504925,0.5451333,0.55224556,0.5681999,0.58995515,0.6070674,0.6080167,0.590825,0.56382865,0.538573,0.51988435,0.5070642,0.49845812,0.4959744,0.50122064,0.5107866,0.5147886,0.50370586,0.47640637,0.4416425,0.41128278,0.3917904,0.38365903,0.38564596,0.39996898,0.42745468,0.46187475,0.48686066,0.4881564,0.46398613,0.42752695,0.39255628,0.36274758,0.33448306,0.30980673,0.30348375,0.32814917,0.37842166,0.42580128,0.44287965,0.4227042,0.38354135,0.34867063,0.33272988,0.33893993,0.366833,0.41119215,0.4589033,0.48905587,0.48875514,0.46425152,0.4397045,0.43460926,0.4499668,0.4706594,0.485853,0.49797258,0.5159783,0.54118496,0.562821,0.56829995,0.5524576,0.5214965,0.48564288,0.45093095,0.42038783,0.39573717,0.38750744,0.39904022,0.42456865,0.43875313,0.42508802,0.38201234,0.32918203,0.28269872,0.2508007,0.235757,0.24572618,0.28729537,0.35301948,0.41785732,0.4602116,0.48090243,0.49977264,0.52981895,0.56217504,0.57944435,0.57639736,0.5657341,0.5601683,0.5606494,0.55673164,0.54148966,0.5172333,0.49323383,0.47595474,0.46609417,0.46158847,0.4634551,0.47343233,0.48774615,0.49130234,0.46917602,0.41922966,0.36128005,0.32103288,0.31380245,0.33533165,0.37369084,0.4208595,0.4713236,0.5148353,0.53378016,0.51983875,0.4811573,0.440008,0.41148373,0.39706266,0.3888074,0.3849835,0.3933053,0.42008758,0.4576726,0.4827999,0.47693613,0.43971458,0.39080063,0.34846845,0.3201691,0.30337012,0.30139098,0.32214606,0.3689443,0.42620707,0.46938896,0.4816968,0.46867737,0.44868496,0.43756258,0.43879578,0.44886723,0.46556446,0.4893407,0.51653683,0.5355398,0.53305864,0.5062667,0.46572533,0.42698076,0.39833125,0.38118482,0.37603506,0.3898292,0.4255972,0.47647014,0.52065134,0.54134876,0.53528786,0.5173569,0.5022115,0.49588647,0.49480796,0.49592343,0.50311023,0.5199376,0.5430963,0.5575288,0.5522149,0.52768034,0.4986424,0.47750303,0.46853602,0.46879864,0.47731534,0.49502197,0.5195208,0.54212093,0.55363125,0.5524046,0.5455346,0.5413987,0.54324555,0.54973507,0.5608063,0.57964176,0.6070056,0.6358953,0.65344614,0.65163994,0.6342752,0.61154765,0.59184045,0.5755814,0.56451255,0.5618624,0.57305086,0.5937626,0.61355406,0.6203045,0.6119292,0.5947853,0.5786784,0.5693881,0.5683542,0.5754697,0.58972925,0.60751265,0.62071115,0.62108874,0.6062625,0.5823532,0.55856293,0.5406627,0.5290095,0.5236423,0.52654034,0.54050684,0.5619009,0.58217937,0.5914534,0.5890941,0.5800794,0.57182974,0.5647109,0.5579727,0.5522723,0.5539904,0.5675013,0.5894436,0.6086599,0.61382437,0.6036451,0.5841406,0.5642359,0.54701185,0.5353449,0.5316129,0.54009056,0.5579884,0.57681,0.5840016,0.57485956,0.55419415,0.53434896,0.52380604,0.523163,0.52769774,0.53417975,0.5448039,0.5601619,0.5766248,0.58377177,0.5776898,0.5620976,0.5490745,0.5451124,0.55112547,0.5633605,0.5807597,0.60113645,0.6180416,0.62106067,0.60493636,0.57541686,0.5452852,0.5246319,0.515858,0.517554,0.5291829,0.5510502,0.57901734,0.60352266,0.61321187,0.6050026,0.58511996,0.5661462,0.55548334,0.55453616,0.55979925,0.5700598,0.5849515,0.6024506,0.61534375,0.61566854,0.601319,0.57966465,0.56142956,0.5534974,0.5553768,0.5654416,0.5839223,0.6116492,0.64097,0.65587085,0.6424059,0.60436445,0.56399125,0.54426116,0.55072063,0.56943625,0.58495516,0.59283066,0.5989425,0.606473,0.61162823,0.6098516,0.6029467,0.5973503,0.59527254,0.59335417,0.5872825,0.57969165,0.5770471,0.5839593,0.5968765,0.6083667,0.6140366,0.6162953,0.62013274,0.6253541,0.6275782,0.62440056,0.62164617,0.62654895,0.63798946,0.64480335,0.6370565,0.6181249,0.60086924,0.59487844,0.59647083,0.59549296,0.5870798,0.57642776,0.57134956,0.5726579,0.5747535,0.57357764,0.57316643,0.57799715,0.58591324,0.5861354,0.573906,0.55459607,0.5405385,0.5367592,0.53970355,0.5435298,0.5477025,0.5560434,0.5700053,0.5858581,0.59560007,0.59186,0.5694682,0.52953076,0.47918567,0.43091652,0.39378682,0.36966762,0.35429108,0.3443222,0.33999193,0.34140357,0.34584948,0.34838954,0.34657016,0.34070027,0.33245102,0.3224163,0.31062618,0.29724655,0.28291202,0.26886085,0.25882408,0.26029918,0.28374362,0.33370826,0.40375683,0.4745635,0.52910715,0.55989903,0.57403094,0.57931465,0.57959396,0.5704041,0.5471385,0.508835,0.4620547,0.41750345,0.384066,0.36296868,0.34742975,0.32860103,0.3020939,0.27106228,0.24232407,0.22111551,0.20695917,0.19590889,0.18386109,0.16986711,0.1554345,0.14351471,0.13676764,0.13620587,0.13984184,0.14304817,0.14119674,0.1327294,0.120406516,0.10973659,0.10544384,0.10856002,0.115439214,0.12038077,0.11889876,0.11061413,0.09885535,0.08922541,0.08630224,0.091460645,0.101360194,0.11032564,0.113496386,0.10989279,0.101669975,0.09239171,0.08717847,0.094563104,0.12769127,0.19591336,0.29605055,0.40726662,0.5034115,0.5668958,0.59719926,0.6038048,0.5973081,0.5821059,0.55843586,0.52316713,0.47736716,0.42609945,0.38054642,0.3487903,0.33329266,0.32815334,0.32531545,0.31769836,0.30275545,0.2812799,0.2571655,0.234998,0.21948057,0.2126044,0.2128088,0.21426044,0.21096914,0.20011385,0.18480872,0.1713614,0.1663034,0.17187887,0.18540938,0.19948302,0.20702945,0.20430954,0.19329095,0.17828302,0.1635379,0.15083486,0.14031018,0.13108374,0.122368686,0.11538494,0.1166326,0.1393856,0.19790304,0.2940774,0.4094402,0.5117919,0.57712746,0.60264,0.60346204,0.59533024,0.58535963,0.57474965,0.5646553,0.55863714,0.556292,0.55338216,0.5412236,0.51528597,0.4761478,0.43160772,0.39036155,0.3576213,0.3325878,0.31060338,0.28836966,0.26539937,0.2438709,0.2256292,0.21129094,0.20015687,0.1909384,0.18330687,0.18115646,0.19432199,0.23639159,0.31155935,0.40888754,0.50299054,0.5751226,0.6200978,0.6459692,0.6584951,0.6589363,0.6487499,0.6339057,0.6215121,0.6127334,0.60462976,0.59597033,0.5900762,0.586462,0.5749383,0.5394613,0.47825828,0.41200233,0.37697408,0.39530897,0.46036458,0.5390002,0.60033256,0.6319167,0.64292973,0.6454362,0.6461238,0.6432929,0.6336341,0.61186236,0.5733045,0.5167301,0.4496567,0.38492873,0.33390042,0.29889646,0.27491626,0.25429705,0.23289646,0.21064514,0.18986179,0.17207088,0.15868169,0.15517227,0.17438085,0.2301528,0.323213,0.4328024,0.5270529,0.58519095,0.6084464,0.6127017,0.6100836,0.6056552,0.6002233,0.59850717,0.6000373,0.5956322,0.56944424,0.5180412,0.4600385,0.42588642,0.43428886,0.477419,0.53051895,0.5717893,0.5940396,0.6027571,0.604065,0.60293835,0.6015916,0.6049722,0.6101648,0.6046078,0.5688358,0.50025016,0.42223808,0.3730166,0.3768989,0.4287002,0.5035463,0.5758279,0.6309251,0.6640031,0.67332625,0.6626008,0.6390886,0.61745054,0.6055343,0.6036346,0.6006618,0.5916069,0.57835674,0.56950456,0.56701845,0.5683675,0.570779,0.57691455,0.5910416,0.6129481,0.6369231,0.65477055,0.6616693,0.6563458,0.63971645,0.61327857,0.58259916,0.5587714,0.554979,0.57395726,0.6051025,0.62880015,0.63688755,0.63529366,0.63892394,0.6515798,0.6649854,0.66712266,0.6542115,0.62987846,0.5980907,0.56208944,0.5293953,0.51271963,0.5224281,0.5544988,0.59265333,0.61683184,0.6193671,0.6029106,0.57838106,0.55312395,0.53482693,0.52835983,0.53876543,0.56365126,0.59349126,0.6140311,0.6171935,0.6077447,0.59809166,0.59696585,0.60111004,0.6034372,0.6003387,0.5932899,0.5824924,0.5661648,0.5488615,0.5416021,0.5569613,0.5940741,0.64106816,0.68213934,0.7113679,0.7301901,0.73950744,0.7351292,0.713501,0.68116707,0.6491022,0.6248555,0.6047792,0.584903,0.5665334,0.55903006,0.5672634,0.5871224,0.6058058,0.61442685,0.61473244,0.6155482,0.6207188,0.6225559,0.61086583,0.58531576,0.55654377,0.53543067,0.52130085,0.507929,0.4916656,0.48032343,0.48104653,0.49264726,0.50071335,0.49393106,0.47428453,0.45800805,0.45987788,0.4815259,0.51345587,0.54489213,0.57368445,0.6003586,0.6238944,0.63577676,0.6311429,0.611479,0.5876184,0.56899565,0.56133157,0.56464857,0.57685584,0.5928201,0.6041383,0.6014919,0.5815403,0.5514657,0.5258656,0.5154105,0.5205221,0.5335637,0.5498304,0.5703768,0.59599835,0.61873084,0.6244813,0.606714,0.5734733,0.541004,0.5186059,0.50366944,0.49018744,0.47775742,0.47158563,0.47165522,0.46949685,0.45544997,0.43205786,0.4141558,0.4164271,0.4395485,0.4727899,0.50587296,0.53884596,0.57350343,0.6042356,0.61536586,0.59874886,0.5628354,0.52970934,0.5155055,0.5217107,0.53933185,0.56007904,0.5797786,0.5944254,0.59780973,0.5863288,0.5642693,0.54338306,0.53280157,0.53270316,0.53499246,0.53453654,0.53576535,0.54789686,0.57266474,0.59693724,0.60439485,0.5882989,0.55738467,0.5223294,0.4883841,0.4562112,0.43274403,0.42801043,0.44443655,0.4671935,0.47612336,0.4638994,0.44514045,0.44175425,0.46410882,0.50462174,0.54916644,0.59012175,0.62498,0.6506948,0.6577783,0.64292973,0.61077404,0.5765803,0.55017823,0.5363124,0.53213423,0.53676945,0.5487981,0.5662532,0.5832004,0.59374815,0.596319,0.594671,0.5941658,0.59636694,0.60011363,0.604531,0.6124422,0.6251667,0.6381585,0.63972396,0.621234,0.5835083,0.53653353,0.48866275,0.44367218,0.40424374,0.37984803,0.3803308,0.40532508,0.4365369,0.45138624,0.44107506,0.42012465,0.41275284,0.43312302,0.4758033,0.52507764,0.56942546,0.6066755,0.63599527,0.6521733,0.64797187,0.6257929,0.59557885,0.5691753,0.54837316,0.5324636,0.5227185,0.52801275,0.5522959,0.5889434,0.6202672,0.6330917,0.6271705,0.61401975,0.6045696,0.6002469,0.5974111,0.59302086,0.5913349,0.59432244,0.59932715,0.5967632,0.58204764,0.5575393,0.53104323,0.5075342,0.4889436,0.47747907,0.47826806,0.49428412,0.5205255,0.5419612,0.5459489,0.5315056,0.5136056,0.5078543,0.5202294,0.54440886,0.57232493,0.5987879,0.61890465,0.6251386,0.61318475,0.58864254,0.56466746,0.55103976,0.548377,0.55206114,0.5594663,0.5707981,0.5853854,0.5982519,0.6033261,0.5980616,0.58712363,0.57831925,0.5767438,0.58167976,0.5901167,0.60159945,0.615815,0.62892294,0.632457,0.6220662,0.6012571,0.57669324,0.55026597,0.51918375,0.48658124,0.46396527,0.46400955,0.48569345,0.512971,0.5256661,0.51633793,0.49482334,0.47909352,0.47983035,0.49489912,0.5160392,0.5402676,0.5692399,0.60225815,0.6281688,0.6362241,0.6244257,0.6046596,0.5877467,0.57716244,0.56836665,0.5597832,0.55286354,0.54883236,0.5434525,0.5323043,0.5154237,0.49861255,0.4879367,0.48685566,0.49553144,0.5138146,0.53957385,0.569812,0.59816384,0.6199766,0.6328397,0.63983005,0.6443381,0.64844567,0.65078336,0.65096825,0.6496895,0.64831036,0.64446837,0.634822,0.6181881,0.60020304,0.5881389,0.586368,0.59261006,0.6035219,0.6180467,0.63719463,0.6584851,0.67378086,0.6748893,0.6600929,0.63758916,0.6176548,0.6074531,0.60642123,0.6122026,0.6218512,0.6341438,0.6455176,0.6518614,0.65051264,0.6445827,0.639235,0.6379339,0.63855064,0.6389722,0.6386878,0.64036447,0.6432745,0.64486593,0.64156145,0.6350348,0.629493,0.62912035,0.63315266,0.6382739,0.64185673,0.6458978,0.65135545,0.6572555,0.6565821,0.6492398,0.63854647,0.63392717,0.63616896,0.6424876,0.6479073,0.6521173,0.6559522,0.6559393,0.64767265,0.6290658,0.60823244,0.5939807,0.59223896,0.5984462,0.6070285,0.6125974,0.61416,0.61083084,0.6042822,0.5985747,0.5985003,0.6050906,0.6127414,0.61375093,0.60378164,0.5879484,0.5773161,0.58015436,0.59275293,0.5999792,0.5893778,0.5613354,0.53063244,0.5114431,0.5093396,0.519422,0.5359369,0.55527765,0.5750682,0.5898065,0.59289455,0.5822399,0.5625484,0.54190135,0.5259627,0.51799315,0.52121896,0.5386845,0.5675716,0.5952904,0.6057611,0.59120005,0.559672,0.526999,0.5047329,0.4932392,0.48871413,0.48995814,0.49928847,0.514806,0.52861905,0.5312596,0.521492,0.5053722,0.49198,0.4855543,0.48893014,0.5038273,0.53340226,0.5732524,0.61273223,0.63515836,0.6330075,0.60859275,0.57503575,0.5430255,0.5204763,0.5105893,0.5157729,0.53365165,0.55600643,0.5711815,0.57137203,0.5586918,0.542206,0.53145474,0.52931976,0.5350442,0.5474017,0.5672007,0.5900149,0.60540307,0.6002124,0.5722742,0.53079975,0.49128672,0.46203446,0.44565573,0.44227016,0.45520076,0.4839127,0.5205342,0.54939365,0.5581456,0.54445094,0.5174144,0.48927072,0.4687266,0.46002087,0.46569315,0.48967576,0.5291853,0.57219344,0.5969505,0.592143,0.56249595,0.5280022,0.5024008,0.4898863,0.48748112,0.4970208,0.5203733,0.5536395,0.58277196,0.5939026,0.5834705,0.56036025,0.5374844,0.52158546,0.51471096,0.51809055,0.53595346,0.5664879,0.5982766,0.61370087,0.6040809,0.5757437,0.54466087,0.5234752,0.5160356,0.5207632,0.53540725,0.55711263,0.5793526,0.5923081,0.5885291,0.56838185,0.54016465,0.51412505,0.49644175,0.48968053,0.49537548,0.5161154,0.5478823,0.57786256,0.5880901,0.57173467,0.53795916,0.50549734,0.486418,0.4821,0.48896936,0.50676274,0.5351405,0.56795764,0.5912561,0.5944434,0.57742316,0.55132055,0.5273657,0.5116024,0.5059052,0.51271665,0.53337675,0.56071264,0.58008593,0.578816,0.5598759,0.5385273,0.5297332,0.53585935,0.5490815,0.5615221,0.57073385,0.57785183,0.5814292,0.57701725,0.5622139,0.54170436,0.52465016,0.5172836,0.5176669,0.5211795,0.5260568,0.5357488,0.5516563,0.5697007,0.58285,0.588645,0.5912325,0.5960403,0.603995,0.61136657,0.61510295,0.6145127,0.6098731,0.5994604,0.58168054,0.5588816,0.53688896,0.5222268,0.5163353,0.51806456,0.52557534,0.5406558,0.56345516,0.58929133,0.60616636,0.6051047,0.5859919,0.5605877,0.54092675,0.53333884,0.53566855,0.54413766,0.5566562,0.57131475,0.58426243,0.5887709,0.58277446,0.56897306,0.55500644,0.544825,0.54032946,0.54203564,0.5533628,0.574042,0.5975447,0.6102469,0.60505414,0.5856285,0.56545854,0.5533216,0.549526,0.550145,0.5548227,0.5672853,0.5864901,0.6045486,0.60964245,0.5979421,0.57446116,0.55011326,0.5328552,0.52701205,0.5340057,0.5522296,0.5758209,0.5950719,0.6029334,0.5992603,0.5899933,0.5810942,0.5737142,0.56664973,0.56022733,0.5589099,0.56551623,0.5773105,0.5850974,0.5812172,0.56523186,0.544296,0.5283768,0.52327055,0.5304578,0.54602605,0.5650711,0.5819276,0.59311193,0.59859496,0.6011853,0.60426384,0.6075755,0.60867447,0.60614824,0.6027232,0.6031785,0.6096737,0.61938316,0.62652594,0.62723356,0.62296206,0.6182662,0.6165704,0.6169664,0.61741227,0.6181409,0.62102324,0.624625,0.62222666,0.60824585,0.585218,0.56362337,0.55280036,0.55423766,0.5634652,0.57634807,0.59230584,0.6102552,0.6262338,0.633086,0.62756896,0.61290425,0.598926,0.5944941,0.60124946,0.6138709,0.6244926,0.6305365,0.6314561,0.6280984,0.61827654,0.60344714,0.58706075,0.5753313,0.570489,0.573324,0.58219886,0.59560233,0.6083347,0.6139913,0.6075942,0.5915687,0.5731178,0.5596512,0.5527197,0.5509344,0.5531666,0.562262,0.57902354,0.6007144,0.61817485,0.62652206,0.62517947,0.6210827,0.61743474,0.6155467,0.61380357,0.61366916,0.6161783,0.6195862,0.6194317,0.61292773,0.6024449,0.5919239,0.5835725,0.5768203,0.5731917,0.5764685,0.5883932,0.60336804,0.61088926,0.6042232,0.58652896,0.5676499,0.55600065,0.55247146,0.5536902,0.5565849,0.5619962,0.57050306,0.5791381,0.5811686,0.57236737,0.55566126,0.53915125,0.5289838,0.52541834,0.52617246,0.5321719,0.54679495,0.5700514,0.5938091,0.6066551,0.6022818,0.5844745,0.5631094,0.54677314,0.5391348,0.53989464,0.548351,0.56200796,0.5754555,0.5799217,0.57051533,0.55054355,0.5301716,0.5183537,0.5174954,0.52590334,0.5414212,0.5623364,0.5826833,0.59262305,0.58366686,0.5574108,0.5244861,0.49802685,0.48388687,0.48148823,0.487751,0.502516,0.5248789,0.54914623,0.56417924,0.5619716,0.5451486,0.5255583,0.5145207,0.5148148,0.52363294,0.5385401,0.55933684,0.58191407,0.5956661,0.58997196,0.56428814,0.53061384,0.504322,0.4935449,0.4968616,0.50921816,0.5279398,0.5506735,0.57154465,0.5798724,0.5687308,0.54083854,0.5095566,0.4888884,0.4858795,0.4981757,0.51959616,0.5440406,0.56552935,0.576842,0.5728259,0.55544716,0.5335297,0.5163307,0.5073478,0.5061063,0.5120199,0.5268429,0.54854566,0.56940633,0.5771654,0.5664224,0.5414633,0.51460576,0.49505177,0.4868277,0.48940876,0.5037057,0.52846694,0.5577249,0.577324,0.57540417,0.5502724,0.5148614,0.48510942,0.4697754,0.46738884,0.47339562,0.48714456,0.5081643,0.5317468,0.5459443,0.54297686,0.5245205,0.50273615,0.4877539,0.48370886,0.48909667,0.50381786,0.52676815,0.552556,0.5693453,0.5680416,0.5493167,0.5247051,0.50636005,0.49952993,0.5018745,0.5100047,0.5238484,0.54380935,0.56586313,0.57995635,0.57806444,0.5606539,0.53666997,0.5141871,0.49638036,0.48470667,0.48487198,0.5008958,0.5268057,0.54445547,0.5395965,0.5138688,0.48449957,0.46731555,0.46614495,0.47507417,0.4887983,0.50733805,0.53022367,0.5504721,0.55579114,0.53991693,0.50989014,0.4826224,0.47185194,0.47999763,0.501067,0.52859056,0.5589618,0.5866185,0.6026938,0.5997328,0.58112806,0.5584778,0.54269814,0.5343873,0.5289669,0.52464646,0.527091,0.54124564,0.56421924,0.58434695,0.592,0.5865352,0.57553273,0.56548834,0.5582862,0.5542298,0.5560754,0.56574064,0.5788323,0.5849345,0.57673436,0.5568278,0.5363682,0.52548313,0.5275578,0.5396938,0.55777335,0.57824737,0.5966006,0.606,0.599356,0.5752571,0.5399,0.5049447,0.4795911,0.46808365,0.47023466,0.48597848,0.51357955,0.54627657,0.57146484,0.57791233,0.5647773,0.5411389,0.5184973,0.501553,0.4900967,0.48419833,0.488005,0.50356513,0.52436787,0.53595656,0.52772593,0.5023979,0.47435948,0.4569188,0.4549738,0.4666343,0.49020362,0.52212685,0.5525808,0.5650237,0.5479598,0.50471574,0.451988,0.4079677,0.38215533,0.37664947,0.39001593,0.42114368,0.46403047,0.5081567,0.5392456,0.550294,0.5442621,0.5329879,0.5266753,0.52798843,0.53433585,0.5428738,0.55459017,0.569324,0.5838954,0.59294754,0.5950308,0.59324056,0.5919339,0.59243053,0.5949063,0.5997665,0.60804385,0.6165738,0.620161,0.6144145,0.602958,0.5924836,0.5894916,0.5927165,0.59898305,0.60555536,0.6141458,0.62453514,0.6319804,0.6286263,0.61201614,0.58898014,0.57121134,0.565985,0.5722661,0.58466053,0.59902716,0.61333233,0.62431496,0.6272525,0.6189924,0.6025366,0.58439684,0.57138866,0.5658996,0.56893057,0.57956535,0.5967562,0.6143739,0.62498975,0.62218255,0.6092231,0.5952583,0.5899775,0.5945142,0.60333896,0.61082464,0.61638665,0.62293947,0.62938935,0.6307032,0.62185216,0.60692424,0.5943176,0.5914006,0.59653646,0.60588074,0.6165223,0.6285749,0.6391202,0.64199734,0.6324298,0.61278063,0.59278226,0.58139515,0.58170515,0.58832145,0.5957918,0.6009628,0.6060157,0.61065227,0.6128481,0.6087242,0.60012585,0.59122926,0.58654004,0.5846308,0.58338773,0.5814464,0.5814355,0.58414173,0.5874205,0.58546805,0.5751219,0.5579743,0.5408973,0.52972007,0.5271099,0.5311124,0.5401812,0.5517842,0.56301,0.56733423,0.5614843,0.5482413,0.53709936,0.53530306,0.542527,0.55354685,0.5645177,0.57589614,0.58692855,0.5930455,0.5890675,0.57637584,0.5631711,0.557374,0.56009084,0.56708735,0.5748026,0.5839999,0.59536576,0.6055555,0.60642797,0.5930603,0.5676876,0.5391218,0.5146359,0.49756864,0.48911107,0.49279392,0.51095456,0.53921944,0.56426126,0.5729607,0.56211156,0.5407885,0.52145,0.5109978,0.509568,0.51546645,0.5290391,0.5492799,0.5699513,0.5798946,0.5719268,0.5494449,0.52443606,0.5078582,0.5026559,0.50680256,0.51839083,0.53701544,0.5580547,0.5719836,0.57022303,0.55457187,0.5358946,0.5256502,0.52637506,0.5341801,0.5447466,0.55766195,0.5715099,0.5809345,0.578187,0.5614019,0.5370416,0.5152178,0.50194633,0.49733534,0.5014062,0.516211,0.5425834,0.5724527,0.59136647,0.5882607,0.56621116,0.5386767,0.51894885,0.5099371,0.5090658,0.5138495,0.52674496,0.5465577,0.5665521,0.5738213,0.5627611,0.53795576,0.5136237,0.49973616,0.49821368,0.50521636,0.51933223,0.540932,0.56562734,0.58213323,0.57940954,0.5576635,0.5279326,0.5037089,0.49019468,0.48597726,0.48826206,0.49860272,0.5169807,0.5375412,0.5467891,0.5361673,0.50854605,0.4796306,0.4631697,0.464071,0.4775102,0.4985772,0.52395314,0.5484384,0.56250817,0.5580594,0.537286,0.51116997,0.4909154,0.47938374,0.4743543,0.47543523,0.48723125,0.51140827,0.5401408,0.5568989,0.55142933,0.5281846,0.5042077,0.49262166,0.4951233,0.50581026,0.52153414,0.54242533,0.5646704,0.5775567,0.5719077,0.5505447,0.52734417,0.5150902,0.5162006,0.5247764,0.5361063,0.55028075,0.5677739,0.5840279,0.59027547,0.58213615,0.5632453,0.54299384,0.5279066,0.5188115,0.51509285,0.5185175,0.5321358,0.55241627,0.56902117,0.57172185,0.56052214,0.5445196,0.53378814,0.53120023,0.5350711,0.5434985,0.55731106,0.57427984,0.5873119,0.586241,0.56793433,0.53900385,0.5122867,0.4961176,0.4913944,0.49513054,0.5065307,0.52621806,0.55037826,0.56872016,0.57014614,0.55267763,0.52516085,0.50060743,0.48648235,0.48336804,0.48882487,0.50212187,0.52155346,0.54221636,0.5551835,0.5553414,0.5445702,0.5315775,0.52344507,0.5229013,0.52882886,0.54075307,0.55684525,0.5718687,0.5765679,0.5657561,0.5429571,0.5188945,0.50202155,0.49346313,0.4907048,0.4934033,0.5051015,0.52574253,0.548047,0.5597775,0.55421686,0.534486,0.5092133,0.4839739,0.4596314,0.4385525,0.42949608,0.44142434,0.47328046,0.50895286,0.5294363,0.5260305,0.50587356,0.48182786,0.4626026,0.45184708,0.45182392,0.4661716,0.49243507,0.521197,0.53742766,0.5347015,0.5179197,0.50083405,0.49202633,0.49156317,0.49552497,0.50380343,0.5192748,0.54021883,0.5579328,0.562475,0.55206996,0.5335887,0.5172381,0.5086552,0.50941914,0.5181987,0.533504,0.5512454,0.5654092,0.5706794,0.5669589,0.55976534,0.55508494,0.5549631,0.55679613,0.55886275,0.56206864,0.5679168,0.57306,0.57050353,0.5556484,0.53189105,0.50737005,0.48891497,0.4774849,0.47350538,0.47846067,0.4951605,0.51935273,0.5411735,0.5496438,0.5430828,0.52822167,0.5150108,0.5088007,0.51026076,0.51884025,0.5345333,0.5556149,0.5753494,0.5841154,0.5764875,0.555114,0.52939963,0.5079662,0.4965961,0.4974223,0.5111453,0.5342315,0.5585616,0.5737606,0.5745111,0.5647175,0.55363464,0.54844135,0.54892653,0.5521746,0.55693984,0.56512386,0.57551765,0.5815997,0.5758416,0.55820686,0.53775555,0.5249977,0.5235193,0.5293464,0.53743476,0.5467651,0.5576903,0.56845134,0.5733001,0.56867135,0.5555975,0.53937536,0.5249238,0.5150605,0.5125828,0.5201481,0.53860253,0.56287175,0.58288336,0.5885944,0.5770223,0.55432034,0.53140384,0.5162993,0.5113545,0.51514333,0.5263123,0.542336,0.55690235,0.56057143,0.54688686,0.51852626,0.4848472,0.4556295,0.43517244,0.42535344,0.428995,0.44858956,0.4809247,0.5137093,0.5338785,0.53508073,0.52263814,0.5055835,0.4911467,0.48205483,0.4801962,0.48795903,0.504191,0.5218906,0.5294358,0.52101207,0.50031143,0.47840068,0.463091,0.45639262,0.4572593,0.46720824,0.48687872,0.51128966,0.5282309,0.5279563,0.5109531,0.4886445,0.4730486,0.46901464,0.4742913,0.48609713,0.5050118,0.52988046,0.553798,0.5639505,0.5548435,0.53233546,0.51189625,0.50283194,0.5053329,0.51333326,0.52464575,0.53911203,0.55458117,0.56335783,0.5594916,0.54444003,0.5273232,0.5169339,0.51523596,0.51943946,0.5265177,0.5378545,0.5527973,0.566695,0.5698144,0.5587587,0.53809565,0.51905036,0.50782436,0.50569874,0.51071185,0.5245397,0.54602545,0.5692286,0.5810011,0.57459927,0.55242795,0.52619475,0.5038363,0.48800215,0.478716,0.47881153,0.49152294,0.5126744,0.53091246,0.53337216,0.51820135,0.4940237,0.4744401,0.46629596,0.4695635,0.48066106,0.49851742,0.52116346,0.5423253,0.55022365,0.53753394,0.50803536,0.47625837,0.4555275,0.45043385,0.45765576,0.4732904,0.49507594,0.5193545,0.5385429,0.54540855,0.53851485,0.5235172,0.5078817,0.49679723,0.49222633,0.49546936,0.50762314,0.52691865,0.5468082,0.55697113,0.55192965,0.5340397,0.513117,0.49638817,0.4872143,0.48572537,0.4939132,0.5112241,0.53117293,0.5412919,0.53296053,0.50828665,0.47904062,0.4573436,0.44826862,0.45094624,0.46251082,0.48243156,0.5069142,0.527939,0.5337214,0.52214247,0.5028136,0.49126992,0.49345896,0.5036867,0.5136874,0.5226852,0.5349285,0.5508058,0.5620218,0.5604796,0.5457609,0.52788013,0.5162248,0.51475286,0.5205507,0.5312552,0.5446597,0.5573624,0.561981,0.5527466,0.53158814,0.5088366,0.49564782,0.4952726,0.50306535,0.51286966,0.52346677,0.53527737,0.54560727,0.5463982,0.53349805,0.5110483,0.49022236,0.47839543,0.4758489,0.48019394,0.49171796,0.5121797,0.5368114,0.5541584,0.5528081,0.53213495,0.50252056,0.47800112,0.4669067,0.470566,0.48623443,0.5112038,0.53966254,0.56270045,0.56890243,0.55525535,0.52833754,0.50199306,0.48516896,0.4803573,0.485867,0.5011687,0.5234531,0.5438364,0.54836124,0.5290766,0.49207535,0.45534357,0.43506613,0.4360145,0.45240882,0.4767333,0.50394505,0.5293282,0.5451849,0.5440662,0.5252482,0.4973899,0.47313824,0.46120408,0.46376872,0.4789066,0.5045786,0.5353873,0.56206894,0.57170933,0.55943066,0.530918,0.50189954,0.48504397,0.4858111,0.5006864,0.5234525,0.54626036,0.56191975,0.56452507,0.5540345,0.53671974,0.52220196,0.51560694,0.5154041,0.51614976,0.51612544,0.5180126,0.5255923,0.5374849,0.547934,0.55201256,0.5503733,0.547971,0.54872304,0.55281025,0.55903053,0.5669593,0.57693934,0.5859349,0.5896095,0.5845414,0.57407373,0.56327105,0.55693716,0.5544892,0.55547637,0.5601117,0.569998,0.5833473,0.59425205,0.5965235,0.5887225,0.57580185,0.5644937,0.55897844,0.55985665,0.56643814,0.5773491,0.58835834,0.59230703,0.5824147,0.5596766,0.53251857,0.51258224,0.50490826,0.5079904,0.5170606,0.53056407,0.5485664,0.5685713,0.5839091,0.5880051,0.58099675,0.5687223,0.5584972,0.5529676,0.5528644,0.5579612,0.5695928,0.58391696,0.5943928,0.5923318,0.5789953,0.56196797,0.5528615,0.5544586,0.5632054,0.57281345,0.5816905,0.5905282,0.59801227,0.59976846,0.5931985,0.581306,0.57032496,0.5637596,0.5607515,0.5585527,0.556942,0.5572467,0.56050324,0.56407636,0.5636075,0.55626684,0.54467565,0.5345301,0.53000814,0.5300944,0.5326323,0.5376704,0.5476081,0.56132466,0.57236314,0.57405895,0.56507987,0.5511842,0.53740597,0.5247902,0.50796974,0.48259175,0.44777623,0.4101808,0.37829196,0.358888,0.3511561,0.34916374,0.3438228,0.32868406,0.30142066,0.2670727,0.23477866,0.21465611,0.21060574,0.21946065,0.23233849,0.24150853,0.24412845,0.24268049,0.24013622,0.23800178,0.23848821,0.25045046,0.28499368,0.3466783,0.42203286,0.4897027,0.53207403,0.55006665,0.55245703,0.5493143,0.54132694,0.5265739,0.5018122,0.46807757,0.42967477,0.39445734,0.3692906,0.35688064,0.353994,0.35483888,0.35371575,0.34764132,0.33618677,0.3224058,0.31139684,0.30737528,0.30967915,0.31278145,0.3104063,0.3004714,0.28596807,0.27234957,0.26568735,0.2726524,0.3012648,0.35344362,0.42085835,0.4829155,0.5231288,0.536593,0.53342533,0.5249329,0.5178945,0.514108,0.51368886,0.5176318,0.52423006,0.53176934,0.53709763,0.539532,0.5385631,0.53487515,0.5289025,0.5232497,0.52279806,0.53348106,0.5551625,0.5793372,0.59180576,0.58588594,0.5660239,0.54567283,0.5328138,0.52691,0.5180834,0.49725744,0.459977,0.41171333,0.3639562,0.32864466,0.31030285,0.30459228,0.30270374,0.2976045,0.28800723,0.27660087,0.2668038,0.25919542,0.25177974,0.24117796,0.22482061,0.20288432,0.18022478,0.16583146,0.16772652,0.18671359,0.21482696,0.24094541,0.25799683,0.26552665,0.26674926,0.26458624,0.2594675,0.2495894,0.23150486,0.20367157,0.16925894,0.13942441,0.12677217,0.13881466,0.16939412,0.20558707,0.23451774,0.25313464,0.26360863,0.26980162,0.27230814,0.27142322,0.26845425,0.26596868,0.2654448,0.2662307,0.26634684,0.26409078,0.25883678,0.25135627,0.24344635,0.23775972,0.23617744,0.2389232,0.2443732,0.25065383,0.25659546,0.26162466,0.26529217,0.2673498,0.2681546,0.26842538,0.2684982,0.2684308,0.2682825,0.26854396,0.2692314,0.26976416,0.27139834,0.27975348,0.3058032,0.35559046,0.42360082,0.48962948,0.5368862,0.5613176,0.5735834,0.5814546,0.58411735,0.57569927,0.5566483,0.5345339,0.5181322,0.5113726,0.5107908,0.50820094,0.49222684,0.45778397,0.4076548,0.35553417,0.31329596,0.28660998,0.26908576,0.25026265,0.22208422,0.18640953,0.15566368,0.1451198,0.16342933,0.20426166,0.2511486,0.28562164,0.29828218,0.2902321,0.27093345,0.25085315,0.23686083,0.22971691,0.22654606,0.22412467,0.2217096,0.2201292,0.2199875,0.21997695,0.2180733,0.2138725,0.20964439,0.20904726,0.21331465,0.22030391,0.22571774,0.22710119,0.22474627,0.22045647,0.21554245,0.21054226,0.20604737,0.20184709,0.19619913,0.18659125,0.17289384,0.15858275,0.14813673,0.14360495,0.14425398,0.14932299,0.15888588,0.17214032,0.18558949,0.19494139,0.19837238,0.198018,0.19768703,0.19942838,0.2016627,0.20093125,0.19498424,0.18586595,0.18092088,0.19199365,0.231167,0.30017152,0.38499603,0.4588708,0.5029741,0.51597375,0.51256347,0.5048319,0.49690124,0.48965493,0.4881746,0.5003226,0.52570075,0.554621,0.5720547,0.5708995,0.5552608,0.536469,0.52409315,0.51848155,0.51483464,0.50712806,0.49492797,0.478717,0.45754805,0.42810413,0.39067957,0.3510677,0.3167992,0.29126558,0.27312574,0.2593922,0.24802776,0.23695634,0.22266285,0.20169418,0.1732285,0.14297435,0.120880276,0.11831346,0.13899703,0.17755882,0.2197005,0.25290295,0.2713201,0.278178,0.2787398,0.27618212,0.27036932,0.26108578,0.24990846,0.23953368,0.23466583,0.24259478,0.27368757,0.33017913,0.40163317,0.46346864,0.49916244,0.5074668,0.5056711,0.5067983,0.5145578,0.52294713,0.5312708,0.5423133,0.5554742,0.55997443,0.5449117,0.51182705,0.4766693,0.45563602,0.45376265,0.46425653,0.4799919,0.4971907,0.5146272,0.5278518,0.53182626,0.52474195,0.5117266,0.5023827,0.50439525,0.51682216,0.53066397,0.53667396,0.53381354,0.5280315,0.5253075,0.5264402,0.5300045,0.5361435,0.5451834,0.5527833,0.54971594,0.5317808,0.50730234,0.49301016,0.49702224,0.5101044,0.5141482,0.5004805,0.47610304,0.45512164,0.44540533,0.44734025,0.4588729,0.48117027,0.51298445,0.54611486,0.56508636,0.55954546,0.53173465,0.49655798,0.46916604,0.45788142,0.4617028,0.47586247,0.49418375,0.511143,0.52201957,0.52391165,0.5178973,0.5075591,0.4981263,0.49184653,0.48918605,0.48842874,0.48873314,0.48898187,0.48846805,0.48604664,0.48273528,0.48193428,0.48901534,0.5035079,0.51752484,0.51788694,0.5009514,0.47527432,0.45753136,0.45613894,0.46879658,0.48731232,0.50784725,0.53044754,0.5526287,0.5663193,0.563855,0.5484371,0.53403014,0.5326423,0.5422971,0.5481007,0.54008347,0.52106136,0.5043166,0.49690238,0.4977356,0.5005524,0.5031281,0.5046318,0.50373703,0.49700364,0.48449168,0.47018036,0.46001363,0.45604444,0.45622444,0.45688233,0.4559845,0.45403358,0.45172974,0.45007634,0.4499831,0.4554857,0.47111258,0.49862775,0.52989495,0.54984003,0.5455223,0.5201653,0.49236953,0.4826651,0.4948283,0.514952,0.52534986,0.5212919,0.5105929,0.5034651,0.50268936,0.5069223,0.5152181,0.52867293,0.54475874,0.5565982,0.55744404,0.54765487,0.53433186,0.5255637,0.5238814,0.52698165,0.5307575,0.5339007,0.53552884,0.53524756,0.53091574,0.5235087,0.51576716,0.5118144,0.510951,0.5079692,0.49643278,0.47549906,0.45215666,0.43603697,0.43213204,0.43801716,0.44903502,0.4644492,0.48538628,0.5088879,0.5242112,0.5221823,0.5038221,0.48193422,0.4694252,0.4707123,0.4820758,0.49912214,0.52062607,0.5429365,0.5565776,0.54928756,0.5210238,0.48764744,0.4700633,0.47353244,0.48334578,0.48102793,0.46166512,0.43612435,0.41730428,0.40991268,0.41110763,0.41724595,0.42816433,0.4432708,0.45827124,0.46529877,0.45989776,0.44466674,0.42717043,0.4133903,0.40538433,0.4041307,0.41363737,0.43781888,0.4738194,0.50860375,0.5276398,0.5266235,0.51370585,0.50014645,0.48924044,0.47897148,0.46913722,0.46682003,0.4764237,0.4927696,0.49976525,0.485823,0.45271933,0.41601658,0.390756,0.3825707,0.38836098,0.4047238,0.43252194,0.4702336,0.50867057,0.5310703,0.52844447,0.5056246,0.48059472,0.467217,0.469811,0.48233083,0.4985586,0.5131344,0.52230245,0.5221181,0.51231176,0.49699345,0.48299763,0.47514367,0.4746947,0.48008358,0.4897051,0.5030703,0.5199366,0.5368083,0.5463211,0.5413459,0.5219769,0.49659666,0.4761862,0.4666032,0.46748924,0.4761567,0.49150166,0.5110205,0.52761036,0.5298273,0.5118272,0.47837818,0.4433544,0.41779697,0.40551504,0.40507624,0.41712102,0.44276655,0.4782391,0.5112767,0.5289998,0.5271685,0.5135877,0.49991712,0.4931164,0.49295735,0.49596763,0.500083,0.5037216,0.5057559,0.50368387,0.49817,0.49141243,0.4875692,0.48733833,0.4891832,0.4907198,0.49248445,0.49795756,0.5079611,0.5178442,0.5173702,0.50147134,0.47382915,0.44581476,0.425941,0.41733882,0.41976455,0.4345174,0.4611781,0.4944233,0.52194875,0.53406304,0.52842426,0.51367396,0.49935344,0.49140975,0.48912907,0.49143812,0.4993547,0.5130794,0.52692604,0.52907974,0.51243275,0.4822038,0.45375422,0.43845367,0.43509316,0.43557346,0.43612003,0.44306552,0.4617685,0.48923683,0.51157624,0.5196565,0.51411456,0.5057147,0.501224,0.50194436,0.5053196,0.5127916,0.52549,0.5404547,0.54735905,0.53810793,0.51278067,0.48176205,0.4554808,0.43897238,0.43083176,0.43061435,0.44056487,0.46243572,0.4910229,0.5149489,0.52463406,0.51931065,0.50681907,0.49594793,0.49153697,0.4939227,0.5027166,0.51731163,0.5340307,0.5425144,0.5304797,0.4946802,0.4494225,0.41665223,0.4098014,0.42297173,0.44310224,0.46291244,0.48542324,0.5111645,0.53141856,0.53316754,0.513793,0.4848152,0.4633192,0.4578799,0.46558952,0.4787947,0.49322724,0.5086262,0.5229447,0.53108567,0.5286267,0.5186047,0.50852627,0.5047746,0.50656307,0.51121646,0.51703644,0.52605444,0.53666,0.5437166,0.53970724,0.5237917,0.5017876,0.482456,0.47020543,0.46481967,0.4658618,0.475197,0.4947401,0.5201803,0.5410533,0.5459822,0.5334491,0.5122712,0.49577114,0.48893008,0.48894498,0.49077424,0.49628678,0.5081344,0.52364063,0.53195196,0.52663106,0.5110554,0.49640122,0.4882805,0.48438835,0.47962406,0.47493947,0.47801825,0.4929993,0.5144618,0.5261931,0.51847935,0.49495277,0.47164306,0.4590048,0.45562878,0.4554329,0.4583434,0.471251,0.49441102,0.5174236,0.52548665,0.5157654,0.49903226,0.48890206,0.4889615,0.49278593,0.49546072,0.49902073,0.5088815,0.52322835,0.5326565,0.5278862,0.5100277,0.48936883,0.47610307,0.47071156,0.46715346,0.4616178,0.45963904,0.46858177,0.4885262,0.5079684,0.515083,0.50720465,0.4924703,0.47987577,0.47234783,0.4690546,0.47044277,0.4790776,0.49278566,0.50230867,0.49779865,0.47889522,0.45724332,0.44469905,0.44349635,0.44539618,0.44629633,0.4525795,0.47587338,0.51682514,0.5606275,0.58797467,0.5898833,0.57275176,0.54770213,0.5209212,0.49060073,0.45431605,0.41401422,0.37522987,0.34194168,0.31449938,0.29164687,0.27354658,0.26089266,0.25360617,0.24960323,0.24714626,0.24531548,0.2445261,0.24464178,0.24515116,0.24485166,0.24315526,0.23979223,0.2352491,0.23024781,0.22597925,0.22351508,0.22303367,0.22346663,0.22293605,0.22046334,0.21621893,0.21159267,0.20751925,0.20480032,0.20437206,0.21026261,0.230305,0.27358863,0.34182355,0.4236915,0.49781993,0.546334,0.5639794,0.5580001,0.5365753,0.50389236,0.46089628,0.4133319,0.37010613,0.3379333,0.31478682,0.29440722,0.2730082,0.25278178,0.23696446,0.22585654,0.2165065,0.20663917,0.19607694,0.18647836,0.17949875,0.1762228,0.17650951,0.1790319,0.18142909,0.18188097,0.17968993,0.17575186,0.1712224,0.16762473,0.16602069,0.16672938,0.16814715,0.16774909,0.16392238,0.157503,0.15069665,0.14512502,0.14168073,0.14293687,0.15631671,0.19245285,0.2590091,0.3511316,0.44908872,0.52604824,0.5632724,0.56199163,0.5391174,0.5170308,0.5075934,0.5118006,0.517433,0.50926214,0.47381833,0.41202143,0.33843377,0.27435863,0.23297048,0.21438068,0.20899443,0.2070927,0.20302004,0.19629557,0.188192,0.18042941,0.17334515,0.16668801,0.16001718,0.15358712,0.14797485,0.1434619,0.13972497,0.13633867,0.13344671,0.13188507,0.13235037,0.13467504,0.13777214,0.14064994,0.14315845,0.14571585,0.14855535,0.1511175,0.15271187,0.15267406,0.15100576,0.1480546,0.14497955,0.14287955,0.14223315,0.14222367,0.14168228,0.13987184,0.13685615,0.13305219,0.12936203,0.12719508,0.12787229,0.13151269,0.13703217,0.14345081,0.15081918,0.15955676,0.16925152,0.17838484,0.18558586,0.19029568,0.19317949,0.19521447,0.19773103,0.20158072,0.20725037,0.21421768,0.2216348,0.2284882,0.23421113,0.23841475,0.24089967,0.24150838,0.24011958,0.23678099,0.23186137,0.22636543,0.22130854,0.2169776,0.21196312,0.20366973,0.18927355,0.16756307,0.13991463,0.11046294,0.08438993,0.065531865,0.05472578,0.050097764,0.048891943,0.048928127,0.049164787,0.049214706,0.049075346,0.048799273,0.048505977,0.048214328,0.04792289,0.047599908,0.047193583,0.04664004,0.045870293,0.044923063,0.043852944,0.042730425,0.041556854,0.040399704,0.039368656,0.038608268,0.038117185,0.03775925,0.03727248,0.036456015,0.03519695,0.033548344,0.031659793,0.029756507,0.028045416,0.026621088,0.025476582,0.024516003,0.023725701,0.023143495,0.022890486]