[0.007848287,0.010592554,0.016429132,0.023710242,0.03381328,0.05135819,0.08129213,0.11954001,0.15186837,0.16077895,0.14141627,0.10411801,0.067136884,0.042246055,0.03350666,0.04192509,0.06964311,0.11458554,0.16471177,0.20171595,0.21287943,0.20031126,0.17703135,0.15807135,0.15519547,0.18013851,0.24122281,0.3327857,0.4269276,0.4862915,0.49059448,0.4507508,0.39792278,0.35742274,0.33592716,0.32468155,0.31109905,0.2853627,0.24370702,0.19099899,0.13941596,0.102190964,0.08474014,0.084347166,0.09641015,0.12124554,0.16004537,0.20809913,0.25269505,0.28234038,0.29425076,0.29513645,0.29368126,0.29462627,0.29646757,0.29241657,0.27448162,0.23815368,0.18814945,0.13674651,0.09800496,0.07777486,0.074022226,0.08320907,0.111312605,0.1662537,0.24518299,0.32224095,0.36725998,0.3666718,0.3369236,0.30468383,0.28777125,0.2848467,0.28651124,0.285385,0.28125632,0.27814814,0.27962884,0.28646612,0.29595485,0.30585474,0.3149939,0.323663,0.3269893,0.31613863,0.2814814,0.2255076,0.16254866,0.112220325,0.08345699,0.07305771,0.07319903,0.083007686,0.10747299,0.14847423,0.19758688,0.23926269,0.25983238,0.2534376,0.22596562,0.19492018,0.18901348,0.22926573,0.31254777,0.40094113,0.45157978,0.4443091,0.3990611,0.34936753,0.3188351,0.30701208,0.30240905,0.2923157,0.26934654,0.23103483,0.18219368,0.13463911,0.10057483,0.08596627,0.08835789,0.106153406,0.1386069,0.18497859,0.23347758,0.27145207,0.28961745,0.29316935,0.2899774,0.2877905,0.28726283,0.28706297,0.28272453,0.26815343,0.23806138,0.19385254,0.1465167,0.10992319,0.093180634,0.09854939,0.1302585,0.1935909,0.2839284,0.37308696,0.42344856,0.41517237,0.36543238,0.3110399,0.2808175,0.27809462,0.29076216,0.30499443,0.31440175,0.3172704,0.3145661,0.30850613,0.30267966,0.30120555,0.30608404,0.31648254,0.3251151,0.3212031,0.29322,0.2409756,0.17642216,0.120272614,0.0851404,0.071141124,0.06872752,0.07368761,0.08999897,0.124804735,0.17509061,0.22689112,0.26149523,0.2678521,0.24658759,0.2126412,0.191105,0.20810258,0.27079204,0.35684943,0.42464426,0.44464478,0.4185308,0.37292418,0.3340039,0.31246248,0.30432487,0.29914966,0.28550676,0.25441793,0.20582317,0.15063389,0.10573527,0.08234515,0.08139421,0.09820271,0.12925655,0.17254536,0.2209971,0.2634225,0.2898266,0.30017483,0.30103278,0.3004521,0.301536,0.3033057,0.3009479,0.2877096,0.2574715,0.21064065,0.1566329,0.11030867,0.082792275,0.07839427,0.098598324,0.14827651,0.22771068,0.32065845,0.3919213,0.41101727,0.37610707,0.3173069,0.27092046,0.25427344,0.26102048,0.27562666,0.28810382,0.29653355,0.30278143,0.3076088,0.3112267,0.31373802,0.31669757,0.32120112,0.326964,0.32784525,0.31396857,0.27632466,0.21843262,0.15550394,0.10679794,0.080197394,0.071640946,0.07290522,0.08355389,0.109585285,0.15476279,0.21201271,0.26587972,0.30035856,0.3058453,0.28353313,0.24790312,0.22782505,0.24942942,0.31741622,0.40074897,0.45799503,0.46425804,0.43141568,0.38716897,0.3545737,0.33718804,0.32742548,0.3132322,0.2855978,0.24116023,0.1868996,0.13656656,0.102716826,0.0888097,0.091483764,0.110040806,0.14701088,0.20280492,0.26504385,0.31722635,0.34732947,0.35786554,0.35707712,0.3533992,0.34937155,0.34373164,0.3305216,0.30255625,0.25597647,0.1970187,0.1397192,0.09835941,0.07970376,0.085563265,0.12072354,0.18938215,0.2825289,0.36625543,0.40257657,0.3777672,0.31884018,0.26651362,0.24375932,0.24288625,0.24685307,0.24941897,0.2583912,0.28026417,0.3110014,0.3388193,0.35539284,0.3608884,0.36102,0.36108348,0.36040902,0.35350874,0.33254167,0.29662195,0.25254962,0.21331815,0.18667038,0.17521988,0.17944159,0.20749266,0.26605144,0.34929597,0.42819348,0.47019872,0.45859918,0.4062597,0.33878973,0.28217956,0.2532964,0.26422203,0.31342658,0.3834832,0.44218552,0.4668119,0.45451298,0.42448223,0.3964616,0.3815608,0.3772098,0.374915,0.36433282,0.33875003,0.29918003,0.2546299,0.21741134,0.19514485,0.18851821,0.19424625,0.21023609,0.23592503,0.2689696,0.30361655,0.33276713,0.35288632,0.364579,0.37108943,0.37423217,0.37292615,0.36217773,0.33511063,0.287695,0.22448663,0.15937363,0.108613364,0.08058112,0.074938126,0.08997542,0.13352232,0.21183956,0.31513977,0.40602717,0.44676006,0.42531893,0.36871132,0.31587133,0.29060587,0.2908826,0.30168885,0.3118361,0.31892854,0.32687977,0.33859834,0.35396758,0.3697364,0.38224438,0.3892684,0.38973057,0.3806516,0.3558607,0.3093761,0.24519907,0.17953277,0.13437127,0.1214368,0.13684332,0.16619551,0.19832069,0.23014744,0.26340476,0.29633704,0.32219803,0.33273745,0.32412687,0.3008555,0.27685788,0.27412415,0.30898428,0.3791012,0.4544243,0.4988692,0.49247125,0.44881222,0.3960741,0.35821018,0.33926165,0.33205545,0.325207,0.31123832,0.2865821,0.25447088,0.22247916,0.19869341,0.18644041,0.18463738,0.19269459,0.2107976,0.23901582,0.27099666,0.29938817,0.31721595,0.32511115,0.32586303,0.3244559,0.3221207,0.31780118,0.30564943,0.27957556,0.2364692,0.1829213,0.13249604,0.09899008,0.08744013,0.096417375,0.12758958,0.18787937,0.27838543,0.37743923,0.44786885,0.46016204,0.4188516,0.35589123,0.30833292,0.29206002,0.30132267,0.3194425,0.3343006,0.34151205,0.34233272,0.33960828,0.33633664,0.33581063,0.33960018,0.34740114,0.3539482,0.35166672,0.33201477,0.2947459,0.24870314,0.20976697,0.18833607,0.18518704,0.19312347,0.20659433,0.2251576,0.25113425,0.2832546,0.31459907,0.3354838,0.33860055,0.3224002,0.29423353,0.27061072,0.27370515,0.31536043,0.38518015,0.45027983,0.4801986,0.46735978,0.43062055,0.39472565,0.37291083,0.36331102,0.35667896,0.34376457,0.3183833,0.28032413,0.2361008,0.19611663,0.1672016,0.15018173,0.14304274,0.14956419,0.17601608,0.22438927,0.2822535,0.33184546,0.35982633,0.36744893,0.36326876,0.35630128,0.34912536,0.33873394,0.31799582,0.28065196,0.22696233,0.16702063,0.11588514,0.08379248,0.072992176,0.08349893,0.124312006,0.20322222,0.31193396,0.4106957,0.45595172,0.42902076,0.3581575,0.28993165,0.2587148,0.26475155,0.28916702,0.3131881,0.3309518,0.34506443,0.35781738,0.3678865,0.3720229,0.37023327,0.36486652,0.35897207,0.35029042,0.33367303,0.3032628,0.2612442,0.21460985,0.17289972,0.13893972,0.11269384,0.09417356,0.09103236,0.112816,0.16363625,0.233006,0.3007417,0.34703302,0.36238983,0.3500967,0.32400402,0.3075732,0.32222804,0.37474474,0.44349733,0.49423942,0.5014359,0.46965215,0.42181906,0.3824741,0.3605325,0.35225835,0.34601906,0.33097038,0.3009553,0.25922573,0.21578729,0.18162431,0.16238143,0.15813424,0.1685459,0.19305222,0.23136823,0.27652085,0.32064256,0.35400677,0.37417158,0.38089868,0.3792864,0.37300798,0.36492968,0.3517979,0.32669047,0.28306445,0.22336884,0.16050561,0.11132592,0.086431056,0.08816188,0.11773332,0.179006,0.26951453,0.36689636,0.43369296,0.44223118,0.3991263,0.33911705,0.2975683,0.2840637,0.28645015,0.28904155,0.28934804,0.2938421,0.30700624,0.32496127,0.3398919,0.34803328,0.3514708,0.3547201,0.357407,0.35320807,0.33363557,0.29779366,0.2542713,0.2170348,0.19441403,0.1881768,0.19737864,0.22742511,0.28271285,0.35806784,0.4289622,0.46851578,0.46232787,0.42008224,0.36132395,0.30654487,0.2722298,0.27357998,0.3150352,0.38175854,0.44148228,0.46772715,0.45575845,0.42404354,0.3933773,0.37437388,0.36363396,0.3522083,0.33066955,0.29322645,0.24101688,0.18411432,0.13872738,0.11814826,0.1257746,0.15414484,0.19325942,0.23529078,0.27707353,0.31441092,0.34387925,0.3624545,0.37145075,0.3733084,0.37076446,0.36480173,0.3535428,0.33205542,0.29426882,0.23985434,0.17795576,0.124396056,0.09115186,0.08125586,0.09310511,0.13140258,0.20218801,0.29894853,0.38981673,0.43611845,0.4201466,0.3620774,0.30200446,0.27080885,0.2733898,0.2955599,0.3209143,0.34131017,0.35626718,0.3677181,0.37623563,0.3816528,0.38427517,0.38576877,0.38747606,0.3868362,0.3771614,0.3508792,0.30899277,0.2609231,0.21956806,0.18863104,0.16396886,0.14014351,0.1220556,0.12129518,0.14721428,0.19484246,0.24771412,0.28562537,0.29737058,0.28396562,0.26040795,0.24979186,0.27329433,0.33383024,0.40816227,0.46021995,0.4670339,0.43658212,0.39568838,0.3679329,0.35708675,0.3543086,0.34694183,0.32798162,0.2951316,0.2534254,0.2112187,0.1771764,0.15432966,0.14241695,0.1426099,0.15954758,0.19613032,0.24574323,0.29459956,0.3299507,0.34919655,0.35718247,0.35986564,0.35908136,0.35342792,0.33942565,0.31239334,0.26879254,0.21173204,0.15301725,0.10776677,0.08462521,0.08442345,0.10770572,0.16132589,0.24762368,0.34950808,0.4288348,0.45299745,0.42071164,0.36421797,0.32198262,0.31087548,0.32165718,0.33432674,0.33769083,0.3331345,0.32881373,0.32904533,0.33290496,0.33596945,0.33659235,0.3352455,0.33423448,0.3310643,0.32082674,0.2977046,0.26402578,0.22679289,0.19378836,0.16567783,0.14103928,0.12295133,0.12214339,0.14847739,0.20024987,0.26173776,0.31199345,0.33601442,0.3303019,0.3029362,0.27198705,0.2627826,0.2933648,0.36087492,0.43379256,0.47605312,0.46962306,0.4300792,0.38549152,0.35740137,0.3465749,0.3419554,0.3286107,0.29754308,0.24896103,0.19529359,0.15331411,0.13392378,0.13400818,0.14428021,0.16133177,0.1909328,0.23809862,0.29444608,0.34325048,0.37062848,0.37731385,0.37212095,0.36445105,0.35669783,0.34622797,0.3268931,0.29322204,0.24407597,0.18680732,0.13464107,0.09902531,0.0834173,0.08666859,0.11325303,0.17261444,0.26560062,0.36760947,0.4382783,0.44897878,0.408335,0.35232794,0.31607983,0.3086777,0.31824055,0.32868078,0.33454797,0.3379787,0.3417318,0.3450203,0.3462174,0.3459494,0.34619236,0.3481938,0.3486459,0.3407987,0.31724277,0.27809379,0.23223518,0.1936003,0.17040277,0.1618494,0.16165622,0.16713834,0.1821872,0.212286,0.25586292,0.30089065,0.33106092,0.3348392,0.3125013,0.27702448,0.25195125,0.2619785,0.31680644,0.39928305,0.4716661,0.5024071,0.48716715,0.44806373,0.41120806,0.38901627,0.37791967,0.36724508,0.34671775,0.31009504,0.25811467,0.20065637,0.1526735,0.12654783,0.12473323,0.14336003,0.17686026,0.22270148,0.2755607,0.32694447,0.36603627,0.38828218,0.3956003,0.3946139,0.39033845,0.38422132,0.37279543,0.3489984,0.30666736,0.24698848,0.18217726,0.12959307,0.10094098,0.0977596,0.11779586,0.1655469,0.24409825,0.33991185,0.41400483,0.42990878,0.38450333,0.31705633,0.27455613,0.2758884,0.30354145,0.32948068,0.34067085,0.3440139,0.3510982,0.3654618,0.3811669,0.39111272,0.393181,0.38995978,0.384729,0.3756185,0.35669908,0.32181385,0.27440885,0.22637856,0.19243054,0.17870186,0.18510865,0.21162717,0.26304057,0.33809483,0.41988108,0.47834253,0.4908384,0.4560597,0.39240435,0.32348064,0.27085516,0.2535643,0.28278878,0.35081136,0.42703143,0.4759451,0.48149356,0.45534527,0.4223852,0.39917266,0.38736737,0.37831983,0.36275145,0.33491492,0.2953377,0.25120723,0.21278308,0.18739074,0.17569916,0.17455177,0.1836736,0.20507699,0.24036777,0.2830042,0.3242726,0.35503817,0.37372848,0.3807298,0.37989214,0.37285003,0.36059034,0.33892348,0.3029772,0.25053316,0.18956359,0.13415237,0.097275145,0.0824083,0.088311546,0.11828589,0.18120646,0.2763299,0.3783685,0.44580325,0.45086136,0.40333226,0.34228155,0.30543062,0.3034066,0.3222349,0.34083393,0.34947035,0.34996605,0.3498932,0.35277542,0.35830554,0.3636749,0.36825433,0.37204328,0.3731813,0.36563727,0.3430027,0.30560574,0.26242957,0.22636473,0.20464988,0.19635285,0.19551308,0.19856477,0.2066869,0.22396092,0.2511358,0.2825692,0.30661106,0.3125255,0.29681408,0.26931226,0.25115058,0.26608586,0.3224829,0.40281156,0.4696897,0.4926741,0.46880618,0.42222238,0.3806678,0.3567945,0.34481463,0.3321994,0.30947676,0.27521732,0.23502375,0.19854702,0.17361432,0.16153544,0.15808819,0.15956645,0.16867621,0.19123942,0.2287616,0.27284625,0.3109467,0.33460733,0.34470966,0.3468282,0.34576476,0.3411834,0.32894287,0.30317447,0.261067,0.20654275,0.15113555,0.10858288,0.08610508,0.08344702,0.099340916,0.14252949,0.22149575,0.32898346,0.4280564,0.4776703,0.46050647,0.4013606,0.34142914,0.3107152,0.3097074,0.32186505,0.32949665,0.3263985,0.31606516,0.3062242,0.30262116,0.30684897,0.31682125,0.3284866,0.33824268,0.34168574,0.33463287,0.3129613,0.27955368,0.24252121,0.21308815,0.195058,0.18634634,0.18221402,0.18445265,0.19881088,0.22931647,0.26976582,0.30648583,0.32554114,0.321358,0.29927137,0.27504006,0.2714086,0.3056842,0.37535915,0.45165884,0.49821463,0.49635494,0.45757043,0.40913057,0.37250435,0.35321224,0.34471762,0.3366274,0.31953552,0.28862563,0.2464364,0.20209597,0.16660897,0.14770438,0.14819829,0.16877492,0.20735174,0.2589694,0.3118762,0.35410443,0.3769145,0.38191882,0.37560606,0.36665165,0.3590748,0.35295334,0.34357587,0.32588074,0.29725122,0.26156965,0.22661054,0.19960982,0.18302266,0.17819612,0.19185819,0.23483746,0.30910477,0.39382267,0.4522507,0.4563416,0.41114008,0.34951115,0.30747423,0.2973397,0.308116,0.3209784,0.32778287,0.33172226,0.3384187,0.3477714,0.35508525,0.35752392,0.35666075,0.35605156,0.35519353,0.34843042,0.3279957,0.2924125,0.24866088,0.20958085,0.1841725,0.17344527,0.17234392,0.1775239,0.1920886,0.22130442,0.2646964,0.31068966,0.34291005,0.34948477,0.33023667,0.29723212,0.27141857,0.27632537,0.3222485,0.39624393,0.46307278,0.49223435,0.47705472,0.4386367,0.4021852,0.3807067,0.37015653,0.3599883,0.34085643,0.30874565,0.26572904,0.2189307,0.17731835,0.14632006,0.12670495,0.117765464,0.12318515,0.14912695,0.19746983,0.25831428,0.3148013,0.35257626,0.36905435,0.37064943,0.36649677,0.36089766,0.35206258,0.3330965,0.29770344,0.24575561,0.18716888,0.13669364,0.10468946,0.09267056,0.09975758,0.13364221,0.20317869,0.30277398,0.39730826,0.44623318,0.4312656,0.3769867,0.323633,0.29959202,0.3025631,0.31680274,0.32935652,0.33956966,0.3510438,0.36466718,0.37771317,0.386988,0.39209715,0.3932097,0.39103496,0.38393405,0.3690964,0.342445,0.3043486,0.26127043,0.22410087,0.19953233,0.18678075,0.17959781,0.17398298,0.16903473,0.1649174,0.15864854,0.14771497,0.1330362,0.1193661,0.11115231,0.112796776,0.13356628,0.18537034,0.27006388,0.36637855,0.43921983,0.46448663,0.44728056,0.41283894,0.38426092,0.36808458,0.35724136,0.34006107,0.30766046,0.25782713,0.19810317,0.14298911,0.10611338,0.091548175,0.09462779,0.11031868,0.13892472,0.18300568,0.23737335,0.28983524,0.3269737,0.34590575,0.35131395,0.3517244,0.3503984,0.34606847,0.33248404,0.30349565,0.25650686,0.19771332,0.14029612,0.09846228,0.07820032,0.07869021,0.099158995,0.14711912,0.22688703,0.3247479,0.4041277,0.43110612,0.4024546,0.3490514,0.31008282,0.30213687,0.31653938,0.33296183,0.34050074,0.33954856,0.33793592,0.34038308,0.34683022,0.35364714,0.35905755,0.36321107,0.36511496,0.3571827,0.32895374,0.2751019,0.20535286,0.13924412,0.09472704,0.07488269,0.07143587,0.07538851,0.08852011,0.11913685,0.1714073,0.23489964,0.28971657,0.3161559,0.3063924,0.2674333,0.22266155,0.20570569,0.24114423,0.32439715,0.41487572,0.4669807,0.46038243,0.41480315,0.36299217,0.3276044,0.30943468,0.29959407,0.28664902,0.26207465,0.22165157,0.1708297,0.12328961,0.09229056,0.082083054,0.08823034,0.108625986,0.14460352,0.1970629,0.25462136,0.30206612,0.3280984,0.33582827,0.33386502,0.33013424,0.32573062,0.31715703,0.29823646,0.2638318,0.21460475,0.15975621,0.11360699,0.0863677,0.07969185,0.0912166,0.12640576,0.19411647,0.29217395,0.3897529,0.44518384,0.43429506,0.37561926,0.31075117,0.27551368,0.27489057,0.29332712,0.31092146,0.31960323,0.3208417,0.32018396,0.32033503,0.32104167,0.32178926,0.3233352,0.32708302,0.32830906,0.31730893,0.28253868,0.225341,0.15901716,0.10425305,0.07098313,0.05771215,0.05573396,0.06347587,0.086276054,0.12975352,0.18798663,0.24429095,0.2798985,0.28532922,0.2636689,0.23046225,0.21000935,0.22745745,0.29079416,0.37975785,0.4532901,0.4798809,0.45779955,0.41260037,0.37198064,0.34915316,0.34010443,0.33223364,0.31200585,0.27126887,0.2128724,0.15020688,0.10024566,0.07287415,0.06832261,0.08253253,0.113741,0.16103037,0.2177668,0.27082038,0.30783486,0.32592568,0.33101627,0.33114567,0.33012542,0.3267894,0.31630847,0.29267916,0.25219026,0.19831878,0.1424255,0.09852034,0.07493159,0.07355091,0.0959036,0.14952569,0.23706353,0.34326813,0.42949936,0.46116212,0.4310734,0.369545,0.31544483,0.29228392,0.29562807,0.30957416,0.32087252,0.32727036,0.33101213,0.33404604,0.33542356,0.33431825,0.33127376,0.32769415,0.32364908,0.3142912,0.29192868,0.24987577,0.19283658,0.1349815,0.093930684,0.07544135,0.07414704,0.080488294,0.094646156,0.12445927,0.1754209,0.23920548,0.2960963,0.32649353,0.32105926,0.28598765,0.2421469,0.22194596,0.2507805,0.32814017,0.41830263,0.4770907,0.48209354,0.4485589,0.4069756,0.3791568,0.36551413,0.35494173,0.33415803,0.29579574,0.24020965,0.17778562,0.123661995,0.089792766,0.07825073,0.08441669,0.10637447,0.146682,0.2069012,0.27655265,0.33857873,0.3783722,0.3954169,0.39767107,0.39489973,0.39104474,0.3850679,0.3712351,0.34229484,0.29358336,0.22982818,0.16521208,0.11638843,0.09232986,0.094438754,0.12416575,0.18601246,0.2752293,0.36666706,0.42303225,0.4238583,0.38290069,0.33703637,0.31544736,0.32114387,0.33799508,0.3507155,0.3573698,0.36537746,0.38005865,0.39972734,0.41860068,0.43383256,0.44547558,0.45403662,0.45558956,0.4429172,0.40899527,0.3550297,0.2920659,0.23682843,0.19987993,0.18365435,0.18692984,0.2160037,0.27654296,0.3634652,0.44911495,0.5027181,0.50622815,0.46767178,0.404976,0.33944094,0.29073635,0.28111482,0.32045856,0.39370677,0.46272242,0.49369153,0.4815583,0.44756547,0.41823176,0.40376136,0.39990616,0.39438224,0.37723276,0.34229556,0.29200253,0.237289,0.1926127,0.1669044,0.15945159,0.16512395,0.18119311,0.2082902,0.24510281,0.28522062,0.31997445,0.34398404,0.35680616,0.36110082,0.35854414,0.34825078,0.32643482,0.28979492,0.23906906,0.1815756,0.12880673,0.091159314,0.07243532,0.07207734,0.091115974,0.13862027,0.21947312,0.32057592,0.40379766,0.4333082,0.40292975,0.34558663,0.304157,0.29987136,0.32268873,0.34909108,0.36523065,0.37226236,0.3784896,0.3868469,0.39461684,0.3973557,0.39527798,0.39148322,0.3884475,0.3823272,0.36468884,0.3283163,0.27696857,0.22451055,0.187495,0.17202163,0.17295794,0.17962413,0.18828009,0.20356695,0.23361333,0.2773874,0.32209885,0.34857437,0.3451446,0.31597367,0.28207126,0.27208778,0.30509344,0.3745074,0.44740903,0.48707935,0.48085204,0.44671097,0.41368118,0.39725742,0.39360687,0.39068174,0.37859666,0.35353383,0.3153433,0.26994374,0.22689562,0.19625013,0.1818022,0.18175744,0.19384561,0.21760847,0.25303182,0.29397082,0.33171967,0.35760093,0.37012792,0.37132207,0.36563095,0.35488912,0.33845982,0.31234995,0.27294892,0.22079892,0.16384317,0.11399274,0.080763355,0.06674685,0.07203295,0.10191349,0.16550066,0.26118305,0.36303148,0.43064022,0.43750644,0.39404678,0.33710715,0.3019809,0.29768133,0.31280133,0.32989323,0.34169355,0.34799108,0.35264406,0.35701427,0.36214736,0.3676654,0.3737156,0.3791661,0.3813473,0.3740923,0.3506848,0.30956334,0.25911865,0.21415156,0.18625641,0.17708896,0.18036126,0.1905009,0.20720112,0.23365174,0.2687075,0.30431795,0.3278974,0.3299789,0.30949306,0.27714238,0.25440678,0.26542288,0.3198407,0.400447,0.46901998,0.4942498,0.47308087,0.42937467,0.39013112,0.36752668,0.35756025,0.34901464,0.3317829,0.30020466,0.256354,0.20881362,0.1680113,0.13910587,0.121734165,0.115455456,0.12543397,0.15838878,0.21351051,0.2770041,0.32995418,0.36013368,0.36860278,0.36433908,0.35616282,0.34704098,0.3338466,0.30991563,0.27005282,0.21610582,0.15819788,0.11005518,0.080130816,0.07065118,0.082611464,0.12562364,0.20687401,0.31726798,0.41793332,0.4673927,0.44896662,0.38944015,0.3312807,0.30364966,0.30569026,0.32148352,0.33797947,0.3526335,0.36775598,0.38255057,0.39340672,0.39701065,0.39493582,0.39052436,0.3867359,0.38033748,0.36531642,0.33525655,0.29270205,0.2458747,0.20506646,0.17230399,0.1450996,0.122246794,0.11218145,0.12765713,0.17502654,0.24417104,0.31141198,0.35199988,0.35335508,0.32246682,0.28342357,0.2688047,0.30007717,0.37265348,0.4534041,0.5045306,0.5091583,0.48086968,0.4462203,0.42270795,0.4101212,0.39778802,0.37546074,0.3393772,0.29288203,0.24486534,0.20484543,0.17834222,0.1645512,0.16024418,0.16577114,0.18536453,0.22280888,0.2731082,0.3252807,0.36653996,0.39183068,0.40195787,0.4027815,0.39886895,0.39207244,0.37865892,0.35274887,0.31127504,0.2601694,0.21212454,0.1795215,0.16632397,0.17099464,0.19406754,0.24234904,0.31603953,0.39680395,0.44993773,0.45169878,0.40904987,0.35602784,0.32509387,0.32542074,0.34393433,0.36207783,0.37130046,0.37384295,0.37659132,0.38329235,0.3938048,0.40526524,0.4153608,0.42212537,0.42344463,0.41451132,0.38934657,0.34587607,0.2910609,0.2392223,0.20186298,0.18216157,0.17787848,0.1938644,0.23934098,0.31666663,0.4041622,0.46760556,0.4799049,0.44173893,0.37318167,0.30195084,0.2521601,0.24491008,0.2878773,0.36743417,0.44727525,0.4939592,0.49684522,0.47343567,0.44734368,0.43095264,0.4210931,0.40781903,0.3823171,0.3402817,0.28474233,0.22640385,0.17937398,0.15169854,0.14228031,0.14441969,0.1577704,0.18546142,0.23069906,0.2836726,0.3321402,0.36457214,0.38227853,0.38876703,0.3890163,0.38155782,0.36329925,0.3294942,0.27915746,0.21764414,0.15680954,0.1100545,0.08363965,0.07671946,0.08709971,0.12275692,0.19325085,0.29371962,0.39031944,0.44092998,0.42674592,0.37005928,0.31330457,0.28573132,0.28793252,0.30351973,0.3189427,0.33218893,0.34702376,0.36559463,0.38484585,0.40071067,0.41137585,0.41822994,0.42278334,0.4213605,0.40635273,0.3698469,0.31467608,0.25335255,0.20352472,0.1739216,0.16327952,0.16394515,0.1732374,0.19409229,0.23121428,0.281165,0.3317071,0.3655394,0.37054038,0.346158,0.30736932,0.28092328,0.29191864,0.34545532,0.41830507,0.4734083,0.48715508,0.4641174,0.42777967,0.39922866,0.38490295,0.3789287,0.37001526,0.34944174,0.3143793,0.27159157,0.23202528,0.20451881,0.1897003,0.18403073,0.18669175,0.2016813,0.23245396,0.27375588,0.31399775,0.3421969,0.35661975,0.36172846,0.36302376,0.36112455,0.35299698,0.33315745,0.29754952,0.245835,0.18560664,0.12957011,0.09019335,0.07156221,0.072805084,0.095188476,0.14804997,0.23466282,0.33821654,0.4194394,0.4455694,0.4150028,0.3603097,0.31929603,0.308567,0.31990325,0.33568594,0.34625873,0.35117945,0.35438752,0.3570826,0.3588753,0.35952762,0.36038446,0.3618585,0.36065182,0.3486434,0.31690064,0.26271114,0.1956022,0.13350742,0.091828376,0.073204905,0.06974239,0.07445868,0.08992723,0.12452885,0.18059863,0.24702622,0.30410677,0.33369341,0.3280542,0.29290184,0.24856322,0.22656475,0.2519861,0.3253991,0.41312692,0.47359303,0.4833578,0.45433104,0.4131064,0.3817412,0.36392704,0.35188583,0.33278182,0.29731008,0.24424899,0.18445559,0.13600837,0.114006095,0.12158533,0.15029031,0.1905789,0.23701036,0.28820395,0.33747748,0.3757173,0.39546624,0.39966738,0.39615217,0.3925813,0.38956735,0.38320336,0.3678335,0.34128904,0.30615863,0.26952782,0.23871839,0.21774931,0.20681004,0.20692457,0.22543621,0.27146873,0.34359,0.41836497,0.46271122,0.45716563,0.41499078,0.36830282,0.34383908,0.34338275,0.35299662,0.35910824,0.3603308,0.3625658,0.3696642,0.37981758,0.38790604,0.3917593,0.39197433,0.39060548,0.38408935,0.36385366,0.3195783,0.25242642,0.1766681,0.11457649,0.078890584,0.0682609,0.07169036,0.08364311,0.10832677,0.15385833,0.2189898,0.28902283,0.34198543,0.36070573,0.34068915,0.29475763,0.25106364,0.2428449,0.28555584,0.36328173,0.43567038,0.46982488,0.460596,0.42874703,0.39690253,0.37467566,0.3574973,0.33684906,0.3077492,0.2717339,0.23490168,0.20411384,0.18354662,0.17377907,0.1741554,0.18518631,0.20947212,0.248087,0.29679763,0.3454713,0.38337144,0.4055533,0.41451535,0.41658053,0.41612577,0.41271028,0.40102205,0.37510225,0.33312896,0.28185737,0.23348407,0.19913708,0.18122602,0.17729168,0.18774915,0.22317715,0.29110903,0.38092542,0.45672473,0.4833459,0.45295155,0.39434776,0.34659526,0.3308233,0.3407991,0.35835755,0.37159577,0.38065293,0.39071187,0.40357652,0.416185,0.4246877,0.42858803,0.42890456,0.4247823,0.4098765,0.3772795,0.32501784,0.26236528,0.20439826,0.16461936,0.1475572,0.15304677,0.18257087,0.24016821,0.32193968,0.4079641,0.46832597,0.4829491,0.45251963,0.3938575,0.3262197,0.26897532,0.24443562,0.27069542,0.34408614,0.43079373,0.48799905,0.494633,0.46356726,0.4237753,0.3940092,0.37469506,0.3540993,0.32213947,0.2744222,0.21606512,0.15750293,0.11130008,0.08350114,0.07349005,0.07656509,0.09337974,0.12709107,0.17965724,0.24134684,0.29887283,0.3400319,0.3642223,0.37482762,0.3766744,0.369092,0.3498342,0.31601396,0.26879528,0.2130478,0.1580527,0.11331925,0.08523365,0.07469493,0.081679374,0.11220998,0.1754064,0.269251,0.36672303,0.42780557,0.42947665,0.387128,0.3409197,0.32196894,0.3322653,0.35344675,0.3695666,0.3783618,0.3861092,0.39720562,0.4096701,0.41933843,0.42418733,0.42644027,0.4281349,0.42653707,0.41274047,0.37746656,0.32088545,0.25544944,0.20011766,0.16725324,0.1569738,0.15975128,0.16717498,0.17867516,0.201147,0.23912995,0.28660756,0.3266162,0.3420963,0.32775867,0.2958707,0.27196535,0.28157482,0.33321026,0.40767112,0.46822417,0.4861211,0.4622201,0.4212675,0.38953125,0.37553898,0.37193695,0.36569747,0.34759054,0.31433794,0.27014026,0.22494273,0.1897697,0.1700658,0.1648637,0.17142408,0.19020718,0.22315912,0.26804236,0.31565964,0.3542569,0.3765448,0.38346913,0.38132533,0.37644014,0.36983168,0.35675704,0.32945737,0.28396302,0.22447163,0.16350944,0.11508853,0.08706266,0.080400914,0.09578959,0.14218502,0.22614263,0.33646545,0.43321288,0.47518516,0.4503508,0.38977018,0.33811453,0.31930068,0.32598194,0.33734766,0.34313774,0.34655952,0.35561714,0.37037024,0.38459992,0.39058337,0.38725528,0.37780872,0.36767074,0.3546863,0.3314847,0.2878473,0.22618824,0.16013148,0.10931388,0.081282824,0.07209053,0.07378874,0.08904261,0.12657735,0.19003697,0.2650309,0.32703415,0.35407838,0.34033397,0.29658106,0.24724947,0.22412439,0.25011298,0.32425478,0.4139614,0.4787631,0.49595383,0.4757277,0.44366387,0.41972104,0.40635,0.39480475,0.37434515,0.33963728,0.2927098,0.24306762,0.20189111,0.176466,0.16667771,0.1695108,0.1849088,0.21545434,0.26179418,0.31530416,0.36361572,0.39520726,0.40858483,0.40718305,0.39771974,0.38315356,0.36448252,0.33953914,0.30703235,0.2675803,0.22646314,0.19102307,0.16724198,0.15667945,0.1603207,0.18435444,0.23929356,0.3253814,0.42059788,0.4856042,0.49265108,0.44616494,0.3800721,0.32894072,0.30680528,0.30638942,0.31576347,0.3297217,0.34890923,0.37113413,0.39005938,0.39874494,0.3970331,0.38963357,0.3825934,0.37451458,0.35702804,0.31862238,0.25788936,0.18662278,0.12566087,0.08882683,0.07647961,0.0791674,0.09171624,0.119412385,0.17079349,0.24395473,0.3204936,0.37590745,0.39268586,0.36950818,0.32051072,0.27322546,0.26056013,0.30188814,0.387238,0.476205,0.52858204,0.52916473,0.4964279,0.4577572,0.43005013,0.41121033,0.39053813,0.35835528,0.31211293,0.2573619,0.2047546,0.16529514,0.14356445,0.13789625,0.14415918,0.16442333,0.20361118,0.2633388,0.33186355,0.39216876,0.43081918,0.4481068,0.45129833,0.44788775,0.43834126,0.41737983,0.3778157,0.31702572,0.24213548,0.16895209,0.114746295,0.08747902,0.08505261,0.10277178,0.14691973,0.22661234,0.33711874,0.4422396,0.49736738,0.48179272,0.4209031,0.3608344,0.33351517,0.33774605,0.35490182,0.37141833,0.3866664,0.40460828,0.42365298,0.43834433,0.44458306,0.44423485,0.4402691,0.4336772,0.4179655,0.3840696,0.3247317,0.24706006,0.16887331,0.11153931,0.082400076,0.07894819,0.097426474,0.14704405,0.23470986,0.3506075,0.45673713,0.5146084,0.5050381,0.44149634,0.35081688,0.2648865,0.21333076,0.22004963,0.28732264,0.38532278,0.46737513,0.4994388,0.48324296,0.4446498,0.41026962,0.3880663,0.37105408,0.34679767,0.30718085,0.251691,0.18884559,0.1320756,0.09263289,0.07368058,0.07212181,0.08622894,0.117769085,0.1690656,0.23310292,0.29719982,0.34678122,0.377118,0.3891507,0.38830602,0.37652674,0.35394645,0.31904694,0.27283296,0.22051032,0.17134003,0.13509826,0.117220454,0.11702583,0.13227807,0.16537751,0.22414696,0.30860135,0.40039596,0.46508202,0.4786094,0.44584155,0.3985966,0.36744675,0.36118066,0.36827216,0.37434936,0.3766855,0.3802249,0.3897231,0.40173617,0.4106107,0.41243407,0.40975475,0.4059634,0.40147856,0.38978806,0.36271906,0.31772175,0.26364884,0.21566142,0.18485695,0.1712635,0.16752489,0.16899632,0.1787339,0.20488451,0.24979962,0.3053209,0.35301006,0.37554955,0.3644894,0.32851776,0.29091808,0.28305745,0.32336235,0.40294108,0.48401022,0.5282131,0.52147156,0.4821804,0.43823656,0.4066154,0.38567206,0.36493412,0.3345059,0.29039487,0.23627006,0.18216802,0.13980278,0.115204595,0.106904335,0.11043778,0.12713148,0.16217732,0.21798825,0.2833114,0.34096262,0.37646225,0.38954696,0.38708365,0.37690425,0.3607967,0.3364462,0.30059996,0.25261298,0.1972981,0.14379323,0.102119386,0.07706455,0.06881451,0.07827678,0.11568483,0.19171894,0.30180815,0.41158795,0.47819373,0.47946426,0.43506598,0.38339832,0.35335934,0.34565556,0.34830794,0.3517216,0.3571503,0.36716282,0.38020357,0.39047873,0.39466533,0.39473495,0.39517137,0.39819,0.39877725,0.38739717,0.35453734,0.30157766,0.2398824,0.18678124,0.15195762,0.13639624,0.13456927,0.14466111,0.16909535,0.21089207,0.26514173,0.3180556,0.35264716,0.35746813,0.33316585,0.29439172,0.26825714,0.28162983,0.34311077,0.4307883,0.5041813,0.5321625,0.5131515,0.4706544,0.43079832,0.40582135,0.39131537,0.37564352,0.3487731,0.30815017,0.25915173,0.21213113,0.17690177,0.15902592,0.15909266,0.17688055,0.21210988,0.2637174,0.32355127,0.3785901,0.41529647,0.42934927,0.4254718,0.41386235,0.4015076,0.38883552,0.36951342,0.3360283,0.28576875,0.2258113,0.17061949,0.13435887,0.12272052,0.13330607,0.16334163,0.21593416,0.2916809,0.3772657,0.4423368,0.4617039,0.43422362,0.386732,0.34929538,0.33505931,0.3365713,0.3419495,0.34760007,0.35723212,0.37272656,0.3891292,0.39954725,0.40100384,0.39688292,0.39181757,0.386953,0.37502012,0.34502265,0.29011092,0.21824636,0.14824347,0.09849309,0.07368416,0.067691326,0.07423889,0.096022785,0.13892306,0.20110548,0.26677868,0.3149803,0.33118245,0.31592628,0.28285304,0.25473824,0.25658417,0.30294833,0.38603747,0.47242036,0.52522254,0.5275393,0.49407792,0.4526179,0.42285156,0.4056755,0.39061013,0.36665872,0.32930294,0.28211236,0.2343859,0.19556199,0.16950913,0.15407835,0.14648442,0.1512716,0.17741211,0.23082526,0.30198076,0.37200847,0.4213924,0.44485795,0.44778886,0.44110122,0.4300743,0.4132807,0.38318983,0.3338513,0.26650724,0.19317192,0.13028814,0.089553334,0.07290623,0.07830148,0.110886544,0.1794055,0.2830013,0.3934593,0.4700941,0.4841155,0.44534925,0.38752696,0.34460735,0.32625148,0.32571164,0.3337765,0.34949794,0.3746923,0.40546152,0.43299964,0.44881013,0.45197847,0.44540408,0.43264893,0.4117159,0.3785843,0.330361,0.27302927,0.21855085,0.179878,0.16067134,0.15600555,0.15641697,0.15660627,0.15622652,0.15814649,0.16374111,0.17248309,0.18259053,0.19271211,0.20223396,0.21381705,0.23549426,0.2791644,0.34823868,0.42879185,0.491357,0.5138317,0.49535188,0.45699623,0.42018306,0.39577433,0.38061595,0.36727417,0.3478477,0.3184884,0.28045264,0.240829,0.2084528,0.18887722,0.18260807,0.18811889,0.20481272,0.23317337,0.27102324,0.31283477,0.35039797,0.3772836,0.39054778,0.39119592,0.38147375,0.3621746,0.3326833,0.29262343,0.24456076,0.19366659,0.14682905,0.11037765,0.087526225,0.07985112,0.09135593,0.1348676,0.21980977,0.33554947,0.44071755,0.49000058,0.46869954,0.40603328,0.34835184,0.32146287,0.32075086,0.32644367,0.32836545,0.329226,0.3366995,0.35129663,0.36680984,0.37644663,0.3792013,0.37910128,0.380303,0.38085088,0.3730226,0.34792873,0.30631125,0.25864807,0.22020642,0.19742566,0.18771659,0.18470459,0.18943696,0.20919175,0.24983169,0.30506614,0.3565868,0.3828365,0.3727102,0.3333061,0.28976572,0.27491304,0.31085324,0.3913701,0.48004365,0.5333988,0.5317685,0.49096158,0.44415215,0.41386965,0.400445,0.38994944,0.36890814,0.33227876,0.28432322,0.23568588,0.19761272,0.17698158,0.17376854,0.1842578,0.20625691,0.23916055,0.282441,0.32912967,0.3709065,0.3986597,0.41044366,0.40732107,0.39476883,0.37713566,0.35609865,0.3281208,0.2877751,0.23420471,0.17506433,0.1234692,0.08990698,0.07705793,0.08440872,0.116523184,0.18298288,0.28321972,0.39219752,0.4684743,0.48302484,0.44341752,0.38491526,0.342633,0.32679376,0.32833818,0.3343232,0.34207657,0.35390067,0.3699818,0.38499022,0.39409184,0.39764714,0.39978507,0.4031615,0.40371895,0.39266482,0.36140427,0.3110855,0.25315046,0.20507501,0.17710514,0.16872512,0.17088847,0.1790762,0.19643466,0.23055823,0.27955338,0.3292249,0.35898176,0.35730806,0.32810044,0.28989574,0.2669851,0.2813962,0.3393959,0.42487606,0.5018003,0.5384968,0.5262446,0.48417783,0.43852517,0.40552756,0.3848776,0.36781928,0.34511843,0.31207108,0.27081537,0.22932243,0.19709396,0.17937326,0.1757794,0.18421215,0.20480077,0.23914714,0.2850978,0.33390605,0.3738073,0.39676157,0.40267682,0.39663807,0.38423768,0.3672864,0.34389248,0.31028593,0.2646577,0.21050315,0.15672521,0.114027716,0.08794212,0.07957935,0.090272166,0.13120624,0.21127813,0.32299888,0.4278799,0.48355535,0.47051433,0.41223505,0.34828904,0.30809736,0.29387188,0.29532456,0.30483413,0.32296327,0.35072067,0.3814484,0.40475583,0.41347218,0.41046122,0.4028887,0.39692077,0.39018288,0.37569466,0.3455988,0.30174845,0.25355145,0.21445255,0.18994777,0.17876558,0.17664784,0.18520392,0.20975585,0.25272134,0.30607465,0.3528765,0.37588772,0.36701742,0.33229682,0.29137483,0.27218118,0.29755893,0.36868513,0.4576799,0.52366287,0.5406943,0.5149626,0.47342467,0.44034687,0.4214299,0.4079391,0.3870615,0.35192916,0.3034614,0.2503866,0.20341265,0.17044608,0.15325338,0.1505732,0.16339423,0.19434702,0.2446724,0.30604902,0.365706,0.40949062,0.43323067,0.43859783,0.4326696,0.41884747,0.39757374,0.36479747,0.31773135,0.25779137,0.19399162,0.13854304,0.10114976,0.08363391,0.08500286,0.10960269,0.1696167,0.27061006,0.3932763,0.49476495,0.535659,0.51207095,0.45554435,0.40694904,0.38466033,0.3839738,0.39180243,0.40355253,0.42020068,0.4413698,0.46140215,0.47432184,0.47838977,0.47627592,0.471411,0.46322417,0.44587442,0.41177022,0.35972214,0.29900852,0.2450362,0.20870318,0.19176705,0.19241373,0.21484499,0.26750273,0.34919715,0.43759438,0.4974968,0.50466913,0.46136448,0.3910416,0.321902,0.27710712,0.2751655,0.32221448,0.40568408,0.48921716,0.5378807,0.5359841,0.4998255,0.45552924,0.42323384,0.4044995,0.39038882,0.3692384,0.33498156,0.29009098,0.24376129,0.20631875,0.18250845,0.1715604,0.17115325,0.18441398,0.21608204,0.26833394,0.33106807,0.38971803,0.42929688,0.44719636,0.4471867,0.43780681,0.42130002,0.39546165,0.35451195,0.2974123,0.23024164,0.16560645,0.11603432,0.08720323,0.07820558,0.0878103,0.124166764,0.19655037,0.30042472,0.40429223,0.46940318,0.47734952,0.4452932,0.4065449,0.3831785,0.3753852,0.37224063,0.3681786,0.36626372,0.37213182,0.3855742,0.4010316,0.41241226,0.41793558,0.41879794,0.41613725,0.40713212,0.38696155,0.35152593,0.30442128,0.2550482,0.21440113,0.18502732,0.16302967,0.14441015,0.13547303,0.14821409,0.19011879,0.25158677,0.31096098,0.34568906,0.34676525,0.32046393,0.2872142,0.27394292,0.30378866,0.37785932,0.46939442,0.5363286,0.55358434,0.52682716,0.48425707,0.44895878,0.4281259,0.41524088,0.4005203,0.3758513,0.3376578,0.29054296,0.24536084,0.21371794,0.19989212,0.2012611,0.21403979,0.23794551,0.27538595,0.32394812,0.37585273,0.41931045,0.4476894,0.4600419,0.4608109,0.45291996,0.43531692,0.40258193,0.35013592,0.2800654,0.20432138,0.13998698,0.100147896,0.08586369,0.091367,0.11485821,0.16662772,0.25312987,0.3603802,0.44917837,0.48667148,0.47081944,0.43263796,0.40386546,0.3938614,0.3911054,0.38328215,0.3713114,0.36407396,0.36805928,0.38063094,0.39560035,0.40815854,0.41781214,0.42414388,0.4251981,0.41528252,0.3889965,0.344413,0.28838775,0.23283298,0.18797189,0.1552592,0.13130414,0.116486974,0.11933554,0.14922142,0.20493197,0.27023315,0.32242116,0.34449592,0.33371595,0.3016907,0.27080852,0.26798853,0.30877057,0.386176,0.4661493,0.514522,0.5167262,0.4894091,0.4568092,0.43520418,0.4242579,0.4168942,0.4040605,0.37817177,0.33598077,0.2824563,0.22975896,0.18884128,0.16429625,0.15570047,0.16688688,0.2041996,0.27008072,0.35082415,0.4241092,0.4700068,0.48586658,0.48109606,0.46893084,0.4550097,0.43717182,0.407347,0.3586636,0.2912005,0.2160536,0.15032324,0.10651193,0.08713064,0.090327285,0.122860156,0.19514216,0.30370966,0.4140142,0.47841763,0.47041658,0.40734455,0.33255443,0.2816361,0.26232436,0.26426455,0.27693203,0.29886663,0.3305582,0.3675537,0.39998272,0.42010203,0.42736152,0.42688367,0.42408228,0.418142,0.40261102,0.36930835,0.3185787,0.26048663,0.21096312,0.1795422,0.1666855,0.16678971,0.17767169,0.20162319,0.24112721,0.29060987,0.3364093,0.36242294,0.3597231,0.3311706,0.2931476,0.2710824,0.28958073,0.3550477,0.44693837,0.5261657,0.56283987,0.554388,0.5232888,0.49413466,0.4775546,0.46777305,0.45193985,0.41984692,0.3694029,0.30877438,0.25135395,0.20891173,0.18521155,0.17816633,0.1863121,0.2124886,0.26076767,0.32713124,0.39805365,0.45502198,0.48729897,0.4953947,0.48912632,0.47777644,0.46426436,0.44284046,0.40390122,0.3420471,0.26347926,0.1847891,0.12399244,0.08913412,0.07906052,0.09196203,0.13616884,0.2181365,0.32682595,0.42409524,0.47283602,0.46367005,0.42391658,0.38825354,0.3732344,0.37323335,0.37785748,0.3853245,0.39949772,0.42148992,0.44538036,0.46407947,0.4741671,0.47733474,0.47563282,0.46841478,0.4490893,0.40931654,0.34398022,0.26151344,0.1802919,0.12054196,0.08851242,0.07811115,0.07902375,0.0899931,0.11664175,0.16257375,0.21973853,0.27074072,0.2978003,0.29148844,0.25640628,0.21272308,0.19362356,0.22651537,0.31180593,0.41348553,0.48382115,0.49692908,0.4640651,0.41677573,0.37943518,0.3578936,0.34268078,0.320443,0.2812082,0.22503181,0.16362877,0.11410383,0.08750623,0.08265238,0.09104338,0.110518575,0.14589857,0.20399968,0.27731717,0.35007274,0.4030448,0.4302635,0.4346129,0.42604044,0.40971816,0.38534412,0.34729835,0.29268786,0.22579561,0.15910676,0.10657287,0.0763796,0.06783492,0.07795596,0.110767044,0.176412,0.27520922,0.38281944,0.45866808,0.4762969,0.44431162,0.39704704,0.36387733,0.35142073,0.3493372,0.3476862,0.34553218,0.34663233,0.35325775,0.36312306,0.37278143,0.3797147,0.38338622,0.38370112,0.37768564,0.35994244,0.32400158,0.27145204,0.21247399,0.16389121,0.1354432,0.12673485,0.12861292,0.13639389,0.15252067,0.18441422,0.23156638,0.28313032,0.32004848,0.3284097,0.30553505,0.2656379,0.23387355,0.23876917,0.29236832,0.3795624,0.45999238,0.4968382,0.48010254,0.43217412,0.38432217,0.35536388,0.34254825,0.3308861,0.30463576,0.25767484,0.19672155,0.13807581,0.09749508,0.08066542,0.0825584,0.09584703,0.120740175,0.16352254,0.22694074,0.30130926,0.3687539,0.4142493,0.43377718,0.4329041,0.41941795,0.39806652,0.3675129,0.3240904,0.26586977,0.1996727,0.13868698,0.096939325,0.07794272,0.07795694,0.09334645,0.13442145,0.21043926,0.3140777,0.40548897,0.44430205,0.4168564,0.35353208,0.2950764,0.26558545,0.26002565,0.26506665,0.27390897,0.28953317,0.31327474,0.33979508,0.35923576,0.36629084,0.363106,0.3571247,0.35353437,0.3494855,0.3353963,0.3015038,0.24933238,0.19119562,0.1439129,0.11451233,0.100566946,0.0966536,0.10611716,0.13722062,0.19351739,0.2631353,0.32384804,0.35385486,0.34335694,0.29847053,0.2414062,0.20566386,0.22010201,0.28952286,0.3857418,0.46600732,0.5023563,0.49756756,0.47392938,0.4516637,0.43664834,0.42290947,0.39902532,0.35601377,0.2919379,0.2171366,0.14864023,0.10139477,0.07937888,0.07841811,0.09602388,0.13405049,0.1960514,0.27411696,0.3533962,0.4147658,0.4510738,0.46350518,0.46186903,0.45194995,0.43448165,0.4032658,0.35321727,0.28570816,0.21198602,0.14749427,0.103842996,0.08311466,0.08315361,0.10658517,0.16292685,0.2537929,0.35798693,0.43577614,0.45757434,0.42807725,0.38068357,0.34877148,0.3412466,0.34727433,0.35405883,0.36178008,0.3775636,0.40435,0.43472838,0.45756793,0.46707585,0.46553758,0.45800605,0.44445348,0.41739073,0.36737037,0.2939983,0.21076782,0.13940443,0.09452894,0.076303385,0.0740939,0.08193279,0.10415461,0.15153998,0.22531979,0.3116028,0.38412106,0.41941872,0.4075437,0.35997042,0.30612692,0.2824829,0.3100961,0.38058126,0.45829034,0.5080056,0.51649165,0.49777237,0.47292194,0.4540356,0.43809822,0.41450164,0.37320042,0.3112046,0.2363875,0.16442342,0.111298084,0.08269983,0.07478926,0.08147115,0.10657966,0.15916409,0.24239887,0.34002328,0.42582753,0.47916213,0.4994382,0.4991876,0.49180314,0.48015857,0.45739672,0.4135345,0.34498748,0.2601718,0.17709547,0.113996744,0.07874457,0.06923247,0.08200199,0.12386676,0.20277505,0.31126606,0.4132309,0.46776858,0.45939004,0.41401157,0.37183478,0.35605514,0.3602966,0.36799964,0.37301338,0.38266766,0.4050837,0.43636283,0.46512392,0.48095834,0.48412788,0.47952113,0.4722688,0.45946142,0.43488777,0.39242566,0.33661518,0.27959445,0.2365018,0.21262078,0.20434712,0.20387518,0.21039878,0.22950745,0.26694804,0.31776658,0.3660482,0.3923823,0.38578197,0.3483747,0.29322642,0.23684783,0.19243719,0.1651063,0.1515954,0.14341241,0.1332443,0.1200513,0.109386094,0.108315535,0.118903875,0.13763215,0.1578033,0.17422473,0.18282424,0.18206477,0.17243354,0.1576518,0.14175154,0.12707277,0.11292815,0.09742388,0.079596855,0.06061688,0.043157402,0.02965643,0.02101007,0.01640725,0.014684615,0.015636623,0.02065759,0.030678561,0.04407915,0.05558269,0.059735507,0.054485947,0.042928245,0.030265868,0.020386476,0.014230774,0.01087211,0.009095515,0.008145675,0.0077030114,0.0075952546,0.007694915,0.008012776,0.009290836,0.013462839,0.023590585,0.04128174,0.06401219,0.08436229,0.09496954,0.094490774,0.08937663,0.08857813,0.09621114,0.10962662,0.12291461,0.13252823,0.13861491,0.1433089,0.14766346,0.15059812,0.1493809,0.14142035,0.12685515,0.110471,0.1004541,0.10223985,0.11287578,0.12144939,0.118451506,0.10404595,0.08877478,0.084263265,0.09467866,0.11454677,0.13431142,0.14654948,0.14879291,0.14237446,0.13114922,0.12013789,0.114414744,0.11614799,0.12421765,0.13570149,0.14799531,0.15885699,0.16516249,0.16483124,0.15825176,0.14923693,0.14155829,0.1371576,0.13546365,0.13521463,0.13525833,0.1346537,0.13219969,0.12652656,0.11672079,0.102948666,0.087317206,0.0737834,0.06761236,0.071169294,0.08162091,0.09007391,0.08882987,0.07574761,0.05645745,0.037952125,0.024751173,0.016853739,0.012535741,0.010046423,0.0085406015,0.0076484983,0.00717443,0.006925078,0.006762266,0.0074562468,0.011283408,0.022197232,0.041890312,0.06698424,0.08766079,0.09494168,0.08594611,0.06671206,0.04577512,0.030184763,0.02347693,0.028655203,0.046942335,0.07623158,0.108724974,0.13582821,0.15215711,0.15892287,0.16045336,0.16158052,0.16540627,0.17290561,0.18259893,0.19031137,0.19204478,0.1858315,0.17376776,0.15946184,0.14678055,0.13752684,0.13241953,0.13031124,0.12889199,0.124213696,0.11409301,0.10007337,0.088811524,0.08670937,0.09643229,0.114480555,0.13552225,0.15422744,0.16725136,0.17232724,0.16975673,0.16200936,0.15232095,0.14160693,0.12856676,0.11257952,0.09718365,0.08876417,0.09145426,0.102778025,0.11544109,0.122880496,0.12364129,0.120767444,0.11884891,0.12061598,0.1253208,0.12849289,0.12480667,0.11165618,0.09124952,0.0686697,0.048531335,0.03294268,0.021923102,0.014705673,0.010447049,0.008327844,0.0074942023,0.0071864785,0.006886032,0.006669978,0.007936408,0.013701039,0.027252724,0.048239637,0.070611805,0.08450226,0.08367031,0.0694615,0.04992987,0.03343156,0.025581062,0.029074907,0.044588078,0.0698153,0.098718576,0.12438204,0.14262016,0.15372574,0.1600718,0.16403034,0.16749339,0.17290436,0.18188073,0.19341016,0.20260547,0.20421173,0.19571996,0.18029487,0.16386862,0.15212941,0.1458443,0.14117664,0.13200696,0.11485327,0.09121738,0.066892415,0.049372125,0.04520588,0.05748443,0.08425152,0.118123084,0.14993878,0.17239141,0.18299145,0.18340434,0.17768276,0.17023009,0.164017,0.16029437,0.15877609,0.15864955,0.15866299,0.15710194,0.15194932,0.14173718,0.12647226,0.1078523,0.08920044,0.07475791,0.06909717,0.07375461,0.085356474,0.09489594,0.09435287,0.08128203,0.061252136,0.041869402,0.028330443,0.020876445,0.017341865,0.015309279,0.01346754,0.011395759,0.00917683,0.0070659094,0.00531926,0.004688972,0.0069404817,0.015160713,0.031029066,0.05213639,0.07055819,0.07799912,0.07110851,0.054539498,0.036717635,0.025288707,0.024092896,0.0342541,0.054507464,0.08149748,0.10940642,0.13226889,0.14634003,0.151919,0.1522998,0.15174897,0.15369374,0.15922606,0.16670173,0.17151082,0.16893055,0.15677656,0.13884854,0.1227977,0.116279244,0.12019054,0.1282327,0.13059725,0.1214635,0.10190356,0.0781515,0.05760533,0.04651326,0.049401283,0.067936935,0.09938824,0.1361853,0.16857322,0.18861735,0.19410384,0.18848312,0.17827283,0.16837811,0.16051535,0.15387498,0.1477523,0.14227538,0.13815953,0.13554126,0.13390766,0.13218544,0.12930703,0.12460375,0.118701555,0.11417347,0.1144214,0.12028682,0.12729977,0.12737247,0.11499726,0.09170154,0.06496086,0.04223899,0.026945015,0.018208565,0.013614722,0.011117242,0.009626304,0.008677208,0.008092151,0.007786488,0.007954803,0.009891995,0.016533313,0.03134812,0.054378774,0.080164544,0.09924971,0.105868645,0.10059088,0.08991685,0.07847374,0.06885985,0.06133994,0.059054982,0.06514516,0.08106939,0.102563955,0.1227571,0.13628416,0.14286469,0.14605695,0.14979173,0.15660937,0.16654404,0.17719637,0.18320167,0.17900167,0.16265257,0.13878627,0.1167459,0.104576476,0.10435021,0.11161075,0.120568015,0.12780835,0.13344647,0.13824289,0.14215714,0.14434588,0.14507997,0.14654921,0.15223426,0.16334446,0.17636164,0.18258785,0.17383534,0.14758918,0.11010656,0.072158135,0.043793436,0.030201914,0.032225255,0.04715678,0.06986045,0.09321865,0.11145314,0.1222511,0.1274192,0.12997031,0.13227706,0.13556778,0.13961022,0.14232779,0.13950546,0.12793322,0.10769371,0.0830585,0.059303742,0.04019156,0.026761768,0.018342724,0.013661936,0.011568893,0.011266343,0.012156189,0.013603753,0.014827774,0.015855348,0.01872998,0.028104037,0.047562186,0.07503455,0.100653015,0.11372746,0.11160698,0.10277023,0.098978736,0.10544572,0.11854852,0.13155633,0.14086594,0.14709367,0.15208542,0.1570548,0.1617961,0.16586284,0.16889115,0.1717652,0.17667514,0.18557589,0.19736499,0.20597154,0.20344041,0.18614654,0.15963244,0.13566785,0.123884924,0.12503944,0.13255505,0.13894415,0.14117698,0.14034861,0.13895835,0.13857959,0.13934775,0.14115788,0.14439239,0.15095864,0.1617847,0.17546754,0.18703783,0.19203655,0.189089,0.18121964,0.17233448,0.16460054,0.1574822,0.14950573,0.14046483,0.13170992,0.1254075,0.122109585,0.12082667,0.11942998,0.11701458,0.11395035,0.1117099,0.11100545,0.11101162,0.10936325,0.10400123,0.09494564,0.08443884,0.075206764,0.06855104,0.06411844,0.060792148,0.057593692,0.053756367,0.048596665,0.04170585,0.033326995,0.024512747,0.01676657,0.012054424,0.012869608,0.02204224,0.039949063,0.06224824,0.07982453,0.08470561,0.07509478,0.056759328,0.037702564,0.023333525,0.014564135,0.009854935,0.007364605,0.0059598833,0.0051141153,0.0045879367,0.0042519453,0.004056064,0.0048891604,0.009218679,0.021271454,0.042849313,0.070232764,0.09283668,0.101630844,0.095621414,0.08496874,0.08165901,0.0916324,0.11055044,0.12995021,0.14338528,0.15027456,0.15346748,0.15593785,0.15824056,0.15903343,0.1569104,0.15233655,0.14802249,0.14672638,0.14865111,0.15020625,0.14702396,0.13733423,0.1236599,0.11019826,0.09990734,0.09312896,0.08864704,0.08502988,0.08119843,0.076449394,0.070355915,0.0628515,0.054128144,0.045090348,0.03779001,0.035808653,0.041656617,0.054136824,0.06666111,0.07176623,0.06580077,0.0518192,0.035935797,0.023223346,0.0152122965,0.01103188,0.009130262,0.008321732,0.007901077,0.0074711074,0.0068612806,0.0060822875,0.0057417434,0.0074475557,0.014014355,0.027166428,0.045176584,0.06154028,0.06909265,0.06455437,0.051115364,0.035105143,0.021803714,0.013045537,0.008161055,0.0057331766,0.004604958,0.004073819,0.0037392126,0.0034363002,0.0031327347,0.0032448063,0.0050719553,0.0110964095,0.023237472,0.040422495,0.057147246,0.06642073,0.064393744,0.05305617,0.038442116,0.03025274,0.04232957,0.09401229,0.19438298,0.33024192,0.45852008,0.5377767,0.5511493,0.5213197,0.4818481,0.45629442,0.4439048,0.43129957,0.40250754,0.34962615,0.27658954,0.19914658,0.13608234,0.09805559,0.083764665,0.08676303,0.107513644,0.15103175,0.21889941,0.29683682,0.3650091,0.40784606,0.4263645,0.4291121,0.42589167,0.41851363,0.40274262,0.36995432,0.3152594,0.24313605,0.16917793,0.11190933,0.08152284,0.07679373,0.0931902,0.13645273,0.216904,0.33136266,0.44559082,0.5138313,0.5119584,0.46025875,0.40180573,0.3698404,0.36693248,0.37724364,0.38463628,0.38488373,0.3816431,0.3799049,0.38155076,0.38639858,0.39410686,0.40410316,0.41344094,0.4139147,0.39390478,0.34461164,0.27002513,0.18762504,0.120300494,0.08065025,0.066529475,0.066992044,0.07681417,0.09984118,0.14303078,0.2034225,0.26630536,0.31085587,0.3222663,0.29840818,0.25494602,0.22306406,0.23590761,0.30491164,0.40399793,0.48506126,0.5124249,0.48946822,0.44669354,0.41340634,0.39597037,0.38373592,0.36157334,0.32111096,0.2618237,0.19326203,0.1305863,0.0884172,0.07094803,0.073937,0.0921348,0.12686571,0.18070036,0.24815793,0.31377223,0.3620068,0.38783887,0.39731613,0.3993317,0.39852592,0.39300534,0.37625626,0.34072614,0.28353,0.2126828,0.14555733,0.10064396,0.08475148,0.09444386,0.12472633,0.1814001,0.26800814,0.3713778,0.45282736,0.47906217,0.44597754,0.38677594,0.33924016,0.32226327,0.3283458,0.3419415,0.3526155,0.35944697,0.364745,0.370278,0.37594017,0.38142243,0.3862402,0.38905922,0.38679895,0.3729075,0.3400319,0.28465363,0.21518826,0.14925948,0.10422191,0.08412945,0.08113705,0.086579554,0.10239827,0.13733973,0.1938167,0.25866994,0.30886778,0.3257542,0.30503252,0.25946805,0.21457402,0.20390749,0.2501073,0.3492287,0.46090853,0.53728384,0.5515142,0.5180326,0.46935186,0.43225023,0.4100053,0.39085963,0.35936463,0.30763632,0.23953605,0.16907148,0.11331681,0.08160328,0.07268205,0.079749875,0.10338569,0.15065825,0.2260545,0.31644186,0.3980337,0.450662,0.4730308,0.47637627,0.47321677,0.46683875,0.45234582,0.42069378,0.36582044,0.2905281,0.20913495,0.14144704,0.10061908,0.08752764,0.09735954,0.13404568,0.20752992,0.31464577,0.42253622,0.48413587,0.47573486,0.41691574,0.3538536,0.32079086,0.32183015,0.3397174,0.35885742,0.3751743,0.39254507,0.41177154,0.42953584,0.4405358,0.44465956,0.44393396,0.4406233,0.42992797,0.40290335,0.3506848,0.276778,0.19749586,0.13576147,0.103123814,0.09540895,0.09884078,0.10913663,0.13536547,0.18977684,0.26822773,0.34682524,0.39531517,0.39560488,0.35079488,0.28429845,0.23292583,0.23291671,0.29622796,0.39852414,0.4897841,0.5325662,0.52381164,0.4912924,0.462541,0.44786882,0.4387977,0.42077017,0.38166454,0.3182939,0.23959643,0.16406922,0.109892525,0.0837721,0.08042604,0.092508316,0.1213066,0.17442401,0.2534131,0.3450679,0.42651796,0.47985968,0.50109214,0.4988953,0.4844822,0.46365377,0.43319145,0.38601032,0.31895953,0.24019606,0.16655934,0.11466239,0.08952492,0.086648546,0.1025516,0.14756007,0.23432398,0.35693964,0.47684288,0.54776955,0.5507789,0.51042485,0.46890187,0.4516915,0.45440936,0.46107003,0.46505412,0.4738125,0.49395052,0.5198715,0.53658706,0.5336382,0.5132683,0.4849637,0.45515564,0.42042282,0.37299028,0.30832353,0.23401357,0.16567396,0.11898162,0.09763199,0.09686225,0.113947175,0.1577221,0.2375245,0.34493998,0.44724286,0.50609183,0.5018822,0.44220307,0.35313657,0.26752275,0.22005862,0.23494363,0.30927554,0.40507245,0.47198308,0.4824585,0.44744053,0.3992174,0.3617579,0.3395425,0.3234125,0.3024561,0.2686731,0.22047222,0.16486214,0.11528025,0.08307322,0.07046345,0.07249107,0.087000795,0.11744412,0.16789238,0.23120339,0.29207385,0.33487472,0.35586226,0.3598614,0.35483918,0.3444816,0.3285426,0.30378565,0.26674587,0.21725035,0.1619569,0.11320158,0.08175076,0.07054951,0.07780669,0.10687997,0.16816886,0.2638829,0.3721114,0.45174313,0.47323695,0.44264796,0.39597496,0.36752447,0.36551893,0.37534797,0.3800557,0.37575266,0.36913863,0.36577383,0.36546373,0.3641677,0.3610039,0.35652664,0.35151955,0.3422656,0.32261616,0.28605756,0.23317146,0.1734056,0.122466706,0.09064314,0.07807831,0.07704107,0.08463838,0.10563839,0.1472599,0.2056671,0.26475406,0.30371276,0.30980062,0.2832633,0.23782814,0.1980597,0.19113077,0.23038717,0.30064014,0.36442363,0.38812146,0.3673699,0.32413426,0.28560555,0.2626245,0.25124994,0.24013962,0.22125839,0.1897639,0.1483902,0.10506622,0.07117128,0.052661166,0.049509272,0.05846259,0.07937448,0.11268801,0.15424766,0.19310099,0.21846886,0.22757886,0.22596358,0.22100304,0.21526875,0.20703004,0.19273597,0.17060675,0.14074351,0.10678327,0.07488417,0.05192193,0.04052211,0.0400746,0.050922345,0.08085513,0.13620068,0.20998931,0.27456278,0.30117026,0.28170922,0.2366464,0.1952821,0.17407142,0.17072766,0.17504899,0.18060543,0.18658294,0.19330935,0.1989416,0.20067619,0.1975373,0.19206516,0.18848693,0.19054896,0.19572932,0.19610347,0.1806701,0.14778255,0.10590588,0.07063217,0.05010375,0.043738324,0.045702014,0.054992806,0.07400718,0.1033447,0.13574165,0.1599804,0.16699655,0.15552509,0.13147493,0.1074798,0.09956006,0.12040352,0.16799872,0.22256331,0.25765073,0.25973448,0.23583633,0.20452893,0.17962615,0.16381712,0.15246902,0.14001192,0.12309128,0.10086363,0.0760707,0.053798094,0.038967818,0.033227716,0.035606574,0.04617497,0.066330045,0.096516155,0.13101424,0.16136192,0.18037538,0.18804069,0.1879235,0.18442744,0.17883395,0.17066675,0.1577415,0.13827723,0.11199961,0.08256151,0.056107167,0.038332853,0.030773917,0.032389726,0.043512855,0.06745401,0.10474285,0.14645739,0.17617571,0.18163644,0.16521086,0.14099148,0.123383164,0.116962016,0.118447624,0.12248739,0.12704109,0.13167532,0.13589825,0.13803834,0.13718452,0.13406682,0.13096307,0.13008897,0.13119622,0.1306011,0.122304074,0.10343412,0.07724229,0.05240627,0.03587918,0.029000798,0.028084071,0.030682502,0.038023327,0.05301003,0.07454973,0.09622196,0.109327696,0.10855826,0.094660014,0.074650176,0.05925898,0.05921815,0.07849654,0.110298015,0.13925296,0.15207924,0.14623623,0.129915,0.11354557,0.102285646,0.09516868,0.08842801,0.07901612,0.06575809,0.049953192,0.034682248,0.02342719,0.017712267,0.017086506,0.020503491,0.028857112,0.043083146,0.06191342,0.07958978,0.09041459,0.092115104,0.087959975,0.08234683,0.078052014,0.07472444,0.0708521,0.06481058,0.055852562,0.04449485,0.032900397,0.023932757,0.019225927,0.018490426,0.02104211,0.028475622,0.043213308,0.064220496,0.08396687,0.09296944,0.08772135,0.073809944,0.06091638,0.054845866,0.05519418,0.05850354,0.06260103,0.06741018,0.07300497,0.078256674,0.08121363,0.08071914,0.07729634,0.07266837,0.06884953,0.06615698,0.063172266,0.05698754,0.046783045,0.034337934,0.023742361,0.017302433,0.015353111,0.017211212,0.024082517,0.03706536,0.054524943,0.070261724,0.0777814,0.07440033,0.06300329,0.048768204,0.036667496,0.030384945,0.03228153,0.041517716,0.053382903,0.061273307,0.061669108,0.055866648,0.048268627,0.042084683,0.03801753,0.03506103,0.032014042,0.028102838,0.022904128,0.016987858,0.01157762,0.008059577,0.0067658476,0.0072662462,0.009277654,0.01317181,0.019289406,0.026573658,0.032976698,0.036553215,0.037118267,0.03567475,0.033695716,0.03181988,0.030102776,0.02794552,0.02481111,0.020351434,0.015146937,0.0103896735,0.007427279,0.0067120637,0.008094848,0.011593106,0.017855497,0.026825592,0.03617704,0.04198906,0.041584488,0.03612468,0.029447459,0.025099434,0.023745405,0.024049776,0.024532901,0.025003271,0.025890836,0.027266322,0.028514167,0.028990084,0.02859821,0.027771682,0.027032554,0.026555456,0.02597393,0.024434194,0.021292547,0.016679803,0.011738808,0.007673428,0.005095178,0.0037792309,0.0035036525,0.004296322,0.0062008016,0.008481967,0.0098875845,0.009594864,0.008202448,0.0072306283]