[0.011654964,0.018038416,0.032149117,0.049459744,0.06483949,0.07444192,0.07804713,0.07804517,0.07758814,0.078155905,0.07936096,0.07995668,0.07915301,0.077249855,0.07523403,0.074315794,0.0751034,0.07740202,0.07995737,0.08114576,0.07968301,0.075569205,0.07010157,0.06508182,0.06179132,0.060430452,0.06067975,0.061906148,0.06350309,0.064689636,0.06537392,0.06615353,0.06802615,0.07109839,0.07460002,0.07742977,0.07888547,0.078744344,0.07705302,0.07454789,0.07230439,0.07147667,0.07208306,0.073467314,0.07458965,0.07508514,0.07490187,0.074371964,0.07382276,0.07362334,0.073848754,0.07440605,0.075473726,0.07755705,0.08092835,0.084816955,0.08791547,0.089467876,0.08994939,0.090333246,0.091008164,0.09169031,0.092002116,0.09200374,0.09184276,0.09147554,0.09079012,0.089874625,0.08899925,0.08819431,0.08741548,0.086651474,0.08610583,0.085546784,0.08439365,0.08221633,0.07960716,0.077789985,0.077503,0.07826224,0.07889799,0.07860214,0.077454835,0.0759814,0.07477585,0.073996276,0.07359416,0.07302541,0.07183761,0.06975407,0.067278065,0.0650821,0.063527,0.062263485,0.060974818,0.060159277,0.06076601,0.06313027,0.0662049,0.06870323,0.07013316,0.071205966,0.072615094,0.07450485,0.076387785,0.077691056,0.07808444,0.07750236,0.07637892,0.07502643,0.07375267,0.072515905,0.071819946,0.0722098,0.07399636,0.07635242,0.07823024,0.079219736,0.080385,0.0833539,0.08959136,0.099324465,0.11132047,0.1227772,0.13119519,0.13704139,0.1449035,0.16048451,0.18535511,0.21471448,0.24017124,0.25549147,0.25973967,0.25717446,0.25344905,0.2526698,0.255432,0.26112616,0.2693896,0.28052258,0.2926191,0.30178812,0.30488452,0.30292526,0.2999626,0.29867092,0.29784393,0.29378828,0.28479838,0.27291992,0.26288167,0.25884998,0.2620362,0.2703659,0.27901986,0.28329882,0.28021225,0.27036735,0.2562398,0.2417832,0.23114009,0.22853039,0.23596017,0.2512635,0.26939225,0.2854847,0.2986463,0.3095776,0.31826556,0.3216195,0.31731024,0.30641308,0.2940648,0.28529134,0.2821797,0.2836747,0.28839445,0.29512665,0.30180717,0.30409828,0.2977288,0.2816122,0.25859544,0.2337277,0.21191649,0.19863755,0.1982492,0.21185108,0.23401783,0.25593916,0.2701082,0.27448606,0.27092722,0.26317543,0.25475362,0.2494599,0.24951255,0.25520456,0.26403558,0.27358758,0.28261653,0.29128906,0.29878363,0.300941,0.2920487,0.26873073,0.23617227,0.20515124,0.18578334,0.17926222,0.18072797,0.18414451,0.18753366,0.19080757,0.19560398,0.20323308,0.21496962,0.22880113,0.24078739,0.2468282,0.24658419,0.24314664,0.24090189,0.24209566,0.24561809,0.24852784,0.24864893,0.2462791,0.24304163,0.24049719,0.23866689,0.23688745,0.23447113,0.23174207,0.22983874,0.2298172,0.23258518,0.23821376,0.24680579,0.2569621,0.26646638,0.27215427,0.27264848,0.2691252,0.26539007,0.26544023,0.27122617,0.2817274,0.29353523,0.3027071,0.30593884,0.3028643,0.2962058,0.29137036,0.292081,0.2988336,0.30843368,0.31713542,0.32174006,0.32036778,0.31299874,0.30186918,0.2912487,0.28444996,0.28229988,0.28254333,0.28312528,0.28342593,0.28493956,0.28767896,0.29041693,0.29034695,0.2880571,0.28644076,0.29076132,0.30244553,0.31909943,0.33454922,0.34429863,0.3466326,0.34316787,0.33637705,0.32996747,0.3274186,0.33101496,0.33881247,0.34631148,0.34937906,0.3476437,0.3433241,0.3384428,0.3332573,0.32636812,0.31671014,0.30430087,0.29230794,0.2852507,0.2870318,0.2964052,0.30831137,0.31677487,0.3193281,0.31651306,0.30982578,0.3006281,0.2905819,0.28223363,0.27697515,0.27446422,0.27271855,0.2698331,0.26458785,0.2573591,0.2524539,0.2563892,0.27417216,0.30163708,0.32762632,0.33966938,0.33383274,0.31608298,0.29848388,0.29230762,0.30149367,0.32247236,0.34539446,0.3610138,0.36287615,0.35123897,0.3315091,0.3122199,0.2986453,0.28975862,0.2808121,0.2695272,0.25952128,0.2566933,0.26389524,0.27805248,0.29223832,0.29969886,0.29775858,0.28933048,0.28139654,0.27962884,0.28488085,0.29264888,0.29862335,0.30095038,0.30068588,0.2988113,0.29734167,0.2997333,0.30923608,0.3246328,0.33964393,0.34774777,0.34707633,0.3413155,0.33489844,0.32996675,0.32430863,0.31471273,0.2981526,0.27498692,0.24743229,0.22000448,0.1977756,0.18685608,0.19128121,0.21021986,0.2353584,0.25459334,0.25744066,0.24177317,0.21495865,0.1915716,0.18491502,0.19962418,0.2286663,0.25937256,0.28207347,0.29481053,0.30095553,0.3040217,0.3049806,0.30337334,0.29964292,0.29625762,0.29580298,0.29776976,0.2957573,0.2810881,0.25076023,0.21479703,0.19017905,0.18874075,0.20675159,0.23270099,0.25570378,0.27220628,0.27840236,0.27196917,0.25409582,0.23517875,0.22663958,0.23289512,0.24850924,0.26477024,0.27842006,0.2932485,0.31852815,0.35855392,0.4086235,0.45259938,0.4773909,0.47937572,0.46807227,0.4536135,0.4426336,0.43650982,0.43532217,0.4376403,0.44025552,0.44112703,0.44082078,0.4428405,0.4490801,0.45971513,0.47141543,0.47903278,0.47574034,0.45839596,0.43101826,0.40258297,0.38117838,0.36778286,0.35964358,0.3532981,0.34872517,0.3470091,0.348775,0.3537024,0.36175537,0.37508813,0.39630505,0.42491993,0.45277822,0.46636245,0.45528355,0.42229238,0.3815471,0.3490437,0.33093604,0.32483515,0.3247615,0.32739186,0.33061373,0.333179,0.3345654,0.33637115,0.3423947,0.35682258,0.38188174,0.4122367,0.43583855,0.43905,0.42034844,0.39079842,0.3672978,0.35709175,0.35706094,0.35908082,0.35868797,0.35573068,0.35160682,0.34837198,0.34760246,0.35253963,0.36549518,0.38812995,0.4144543,0.43352565,0.4320499,0.4089568,0.37401125,0.34362626,0.32591486,0.32104024,0.32454222,0.33361802,0.346122,0.35789895,0.36459038,0.36441597,0.36203745,0.36482272,0.37897646,0.4010907,0.4208925,0.42480978,0.41049746,0.3847628,0.3613125,0.34662572,0.3417232,0.34276953,0.3472722,0.35252368,0.35647392,0.3584663,0.36006126,0.3647838,0.37544608,0.39479956,0.4189082,0.43974337,0.44441572,0.43185553,0.4099073,0.39385092,0.3889306,0.393217,0.4008478,0.40870273,0.41636893,0.42359483,0.4332535,0.44379017,0.45162964,0.44808605,0.43542913,0.4210329,0.41597864,0.41931495,0.42773697,0.4365643,0.44508693,0.44841138,0.44332337,0.43178833,0.42186448,0.41768065,0.41593215,0.4119816,0.40536657,0.39984652,0.396075,0.39377084,0.39116833,0.388774,0.38390303,0.37499478,0.36137462,0.3473628,0.33707884,0.3337585,0.33790326,0.34873912,0.3636074,0.37808147,0.38814747,0.3920987,0.39141688,0.38856414,0.38618502,0.38623062,0.3894131,0.39369544,0.39517197,0.39166045,0.38405392,0.37549388,0.36768934,0.3626895,0.36222884,0.36771524,0.37595212,0.3818438,0.3814869,0.37580743,0.3674198,0.3583925,0.34920892,0.34040233,0.3328998,0.32712552,0.32396743,0.3238341,0.328019,0.33521762,0.3443593,0.3527484,0.36007825,0.36553955,0.37028614,0.37463772,0.37816468,0.37825486,0.37246695,0.36200014,0.35097614,0.34370002,0.3401538,0.33757567,0.33199432,0.32120907,0.30456844,0.28459388,0.26578906,0.25311708,0.24848916,0.25056303,0.25641942,0.26395333,0.2734916,0.2865251,0.30435812,0.32489076,0.34374258,0.35610625,0.3607069,0.35943627,0.3556153,0.35111812,0.34608662,0.33971933,0.3321229,0.32479778,0.32088053,0.3231717,0.3321981,0.3446847,0.35505486,0.35950282,0.35772577,0.35240218,0.34533444,0.3376656,0.32990393,0.32314023,0.31703493,0.3117874,0.30903473,0.31326643,0.32584524,0.3434142,0.3575457,0.3624626,0.35701558,0.34582365,0.33371738,0.3232278,0.31244197,0.29893163,0.2832425,0.270291,0.26432908,0.2654785,0.27013353,0.27670825,0.28588685,0.29909554,0.31475914,0.33164117,0.34890625,0.36591938,0.37848604,0.38144717,0.3718923,0.3518746,0.32685247,0.3032306,0.28683516,0.28025436,0.28219995,0.28669646,0.28726935,0.27988183,0.26704803,0.2561224,0.25556397,0.2680459,0.2900829,0.3149779,0.3396488,0.36358956,0.38687697,0.40559885,0.4150649,0.41226992,0.39944342,0.38218725,0.36732614,0.35971037,0.36024198,0.3661172,0.3724375,0.3764054,0.37751296,0.3770541,0.37511012,0.37215018,0.37006822,0.37206474,0.37956336,0.39043745,0.40051296,0.40552604,0.40234306,0.38949433,0.36876535,0.3451592,0.324715,0.31114998,0.30673587,0.31288084,0.3303611,0.3550615,0.37855434,0.3913298,0.3889825,0.37388995,0.35374677,0.33806852,0.33365977,0.34111562,0.3532276,0.36025837,0.35641193,0.34438705,0.3309214,0.32116592,0.31449333,0.3075393,0.2976525,0.2869791,0.28118595,0.2859211,0.30065838,0.31840205,0.3311647,0.33683738,0.33916342,0.34045967,0.33652386,0.319469,0.2879139,0.25217435,0.2295475,0.23171978,0.25685805,0.29291043,0.32678416,0.35228512,0.3682864,0.3763568,0.3776697,0.37504157,0.37155345,0.368557,0.36468253,0.35870638,0.35265335,0.3503202,0.3532909,0.3594327,0.36528054,0.36903265,0.3708384,0.3713878,0.37107393,0.3691895,0.3643951,0.35525867,0.34344158,0.3328044,0.32774857,0.32755256,0.32917348,0.32947192,0.3305095,0.3353504,0.34528366,0.35732627,0.3669844,0.3719274,0.372317,0.37045896,0.36660168,0.36028337,0.35188198,0.34811464,0.3564093,0.37828222,0.402056,0.413664,0.40683588,0.38928452,0.37297878,0.36622658,0.37148595,0.38661698,0.40751004,0.4276398,0.4442636,0.4562863,0.46485555,0.46748015,0.46549714,0.46108747,0.4573479,0.44915017,0.43229803,0.4083121,0.387463,0.37709174,0.3763776,0.37937438,0.38118973,0.3826466,0.38757694,0.40430462,0.43622515,0.47968447,0.518202,0.53853196,0.53606343,0.5208835,0.5033242,0.49028948,0.48191214,0.4775033,0.47567022,0.47469047,0.4732751,0.47183347,0.47329375,0.47919443,0.48835728,0.4946332,0.49166474,0.4747412,0.44615045,0.412292,0.38206565,0.36079052,0.34999928,0.34694663,0.34669474,0.3456062,0.34472635,0.35232684,0.37438536,0.40868804,0.4401349,0.4564987,0.4545468,0.44480753,0.43852365,0.44406703,0.46237198,0.4863874,0.5027522,0.4974798,0.47046745,0.43380484,0.40573016,0.3933731,0.39445838,0.4007559,0.40823007,0.41571248,0.42445484,0.43305945,0.43788028,0.43315586,0.41738844,0.39502427,0.37425563,0.36000967,0.35065928,0.34214297,0.3301904,0.31320396,0.29048213,0.26816413,0.25820234,0.2728527,0.3133278,0.3686378,0.4252052,0.47297168,0.5071911,0.52243024,0.518614,0.5000177,0.4770852,0.4556477,0.43866646,0.42488167,0.4148984,0.40807638,0.4041035,0.40191194,0.40176547,0.40425166,0.40924242,0.41533148,0.41921496,0.4172776,0.407204,0.39143482,0.37579516,0.3659861,0.3625441,0.3626671,0.36390552,0.36834645,0.38016906,0.40266073,0.434201,0.46836877,0.49619266,0.5111111,0.5128453,0.5054836,0.49538815,0.4871044,0.48646927,0.494199,0.5069916,0.51297903,0.50604624,0.4860289,0.46231547,0.44023982,0.42185783,0.40562022,0.39200115,0.3828276,0.37908885,0.38224915,0.3910415,0.40304935,0.41053447,0.40844655,0.39424887,0.37282935,0.34917876,0.32976654,0.31774685,0.31461743,0.3171759,0.32168436,0.32612264,0.3314983,0.34046254,0.3553413,0.38018405,0.41427028,0.45142663,0.47670808,0.4818807,0.46897838,0.4522151,0.441694,0.43909696,0.43844464,0.43565914,0.43134764,0.4284898,0.42874297,0.43094006,0.43407288,0.4381785,0.44616118,0.45739517,0.46871272,0.47196367,0.4653478,0.45156014,0.43981025,0.43441048,0.43603036,0.44090435,0.44732404,0.45496306,0.46369937,0.47093752,0.472627,0.46792114,0.46101806,0.4598973,0.46649912,0.4756668,0.47720864,0.46993116,0.46019992,0.4569694,0.458986,0.4588406,0.45038262,0.43572605,0.42120385,0.4116123,0.40749335,0.40740955,0.41067913,0.41994175,0.43913054,0.4688212,0.5004897,0.51942223,0.5146906,0.4889419,0.45612553,0.43194327,0.4234363,0.42927027,0.4412049,0.4511565,0.45213667,0.44353655,0.4279995,0.4114698,0.399799,0.39972162,0.41549218,0.44361106,0.47215763,0.48744726,0.48693773,0.47817695,0.4741362,0.47915217,0.49390197,0.50997776,0.5208087,0.5164035,0.49968675,0.47770962,0.46246934,0.4551514,0.45483866,0.45996118,0.47086322,0.48331556,0.4888557,0.48511115,0.47517228,0.46612784,0.45683113,0.4458981,0.43240568,0.4228046,0.42209736,0.432981,0.45154586,0.47053656,0.48235115,0.48502088,0.48352632,0.48358583,0.4845337,0.47934696,0.4624468,0.43530312,0.40296486,0.36892763,0.3331734,0.2965422,0.26213005,0.23408492,0.21441542,0.20230871,0.19534618,0.191168,0.18858363,0.18760003,0.18826514,0.18978383,0.19038923,0.188981,0.1861484,0.1844167,0.18706977,0.19702186,0.21592712,0.24310513,0.27549723,0.30737707,0.33268318,0.34587744,0.34736064,0.34447443,0.35324708,0.3842542,0.43563393,0.48662934,0.5183462,0.52294207,0.51159793,0.49665585,0.4859101,0.47796345,0.47094545,0.46555522,0.4657397,0.47634456,0.49513745,0.5144195,0.52106136,0.51269263,0.49325857,0.4735081,0.4543803,0.43430242,0.40976945,0.38487625,0.36541808,0.35672233,0.3589042,0.3672882,0.37485692,0.37582746,0.36855543,0.3532919,0.33105704,0.303828,0.2784733,0.26426423,0.26652816,0.2803446,0.2951058,0.30266544,0.30216908,0.29603055,0.2869128,0.2791227,0.27894175,0.29079798,0.31009588,0.32793844,0.33644292,0.33656237,0.33291742,0.33371666,0.3454442,0.37114465,0.4059609,0.4406384,0.4700444,0.49263906,0.5081548,0.50984365,0.49591675,0.47051993,0.4468054,0.43144712,0.4245124,0.41911873,0.4131589,0.4101394,0.41825008,0.44035673,0.4700757,0.49317718,0.49844334,0.48433778,0.45902035,0.4328657,0.41354355,0.40395892,0.40288508,0.40680563,0.4135612,0.4258699,0.44674537,0.47438082,0.49871132,0.51192045,0.5122444,0.5051418,0.49280718,0.47546843,0.45258248,0.42666817,0.39812687,0.36470547,0.32572564,0.2884197,0.2655643,0.26595375,0.2868718,0.31517884,0.33452892,0.33366644,0.31238285,0.28329477,0.26400897,0.26528284,0.28261265,0.3023542,0.3124611,0.31049904,0.3013899,0.2929151,0.29144612,0.29935476,0.31397322,0.32886967,0.33915946,0.34370962,0.34574422,0.34889987,0.35742489,0.37292764,0.39588928,0.4227787,0.4518995,0.47787902,0.49487248,0.49215594,0.468869,0.43290114,0.40077826,0.38108814,0.3744227,0.3759669,0.38357314,0.39743793,0.4176754,0.444379,0.47368148,0.49999413,0.51335454,0.51160705,0.4974133,0.48066056,0.46562532,0.4550161,0.44834468,0.44657025,0.4491224,0.45533475,0.4657537,0.4784821,0.48859325,0.48687038,0.47278962,0.45098007,0.430959,0.41214463,0.39269617,0.37049565,0.35121036,0.33892718,0.33399305,0.33084676,0.32288864,0.3079468,0.29069665,0.2815477,0.28708288,0.30582595,0.3288741,0.34990427,0.3673155,0.38146615,0.38870335,0.3846016,0.37014976,0.3537182,0.34458506,0.34565794,0.35263193,0.3590783,0.3610917,0.35860026,0.35316274,0.34665298,0.34094357,0.3395762,0.34756342,0.36782002,0.3975642,0.4290299,0.45572165,0.47659233,0.49196804,0.4999381,0.49511024,0.47852635,0.45705342,0.44175103,0.43753922,0.44425166,0.45734993,0.47179267,0.48399886,0.49419641,0.5061068,0.5202748,0.52997214,0.52489835,0.5024339,0.47149166,0.44582483,0.43183088,0.42552006,0.41749737,0.40350127,0.38814738,0.38329062,0.39603427,0.4226416,0.4479967,0.4609809,0.46055588,0.45585904,0.45235923,0.44941756,0.44268963,0.43217805,0.42244354,0.41923586,0.42493072,0.43563294,0.4433836,0.44117227,0.4311086,0.42183885,0.42245865,0.43155,0.4423413,0.44788817,0.44953933,0.4510231,0.45531556,0.46131492,0.46660647,0.46998087,0.47104096,0.47134677,0.47078705,0.4696891,0.4666835,0.46294773,0.45865962,0.45357206,0.4452572,0.43458006,0.4271841,0.42989707,0.44489112,0.4666421,0.4884266,0.5046106,0.51314276,0.51231337,0.5035361,0.49195346,0.48459518,0.48525774,0.4908323,0.49431327,0.4899062,0.47941092,0.47148266,0.47721887,0.49788812,0.5235555,0.5356095,0.5260579,0.49927875,0.47144887,0.45166612,0.4413005,0.4345297,0.42955148,0.427655,0.43151915,0.43975386,0.44824064,0.45280337,0.45307353,0.45248434,0.45433167,0.4592398,0.46350333,0.46461725,0.46181557,0.45820788,0.45537046,0.45437467,0.45474505,0.45761237,0.4649233,0.4780198,0.4965836,0.5144662,0.5238046,0.5156921,0.4928145,0.46461174,0.44592163,0.44134688,0.44832706,0.45861295,0.46793976,0.4759368,0.48535302,0.49894357,0.5144494,0.5253291,0.5226533,0.50608367,0.48215482,0.46183252,0.4496747,0.44633517,0.4484538,0.45241058,0.4521838,0.4442409,0.4302278,0.41801175,0.41449523,0.42122158,0.4338647,0.44736233,0.4584607,0.46607947,0.4698451,0.4699005,0.46815014,0.4676247,0.47273576,0.48420992,0.49888146,0.5077689,0.5048215,0.48962,0.46975717,0.4522845,0.44038463,0.43208548,0.42504576,0.4181447,0.41173875,0.40617344,0.401407,0.39744732,0.39516416,0.39694533,0.40474817,0.41796136,0.4318361,0.4410416,0.44309965,0.44058695,0.43818054,0.43962476,0.44565347,0.45389602,0.46098813,0.46475908,0.46727574,0.47146985,0.47737885,0.47911647,0.47156885,0.4563568,0.44225752,0.43820843,0.44674405,0.46542346,0.48625287,0.50245404,0.50743586,0.50606626,0.5037625,0.50585586,0.5036227,0.49098226,0.46684694,0.4429802,0.4282558,0.426259,0.4320543,0.43955967,0.44209802,0.43678114,0.42517212,0.41439977,0.41094926,0.41706434,0.42871523,0.44041315,0.44747743,0.44880113,0.44512403,0.439207,0.43329144,0.4306188,0.43424264,0.44858813,0.47187695,0.49716845,0.511077,0.50849694,0.4914455,0.47031555,0.45099512,0.4367163,0.4276737,0.4244869,0.4255724,0.4266862,0.4239535,0.41692924,0.4099369,0.40871012,0.41751012,0.43460712,0.4534283,0.46428457,0.46252754,0.4491122,0.43101594,0.41493973,0.4066997,0.4085722,0.41873178,0.4323584,0.44520962,0.45834765,0.47156525,0.48091272,0.4764761,0.45783553,0.43510175,0.4264797,0.44009545,0.47244444,0.5105957,0.54324645,0.56337184,0.5704368,0.5676685,0.55964917,0.5484968,0.5343292,0.517603,0.50084466,0.4884844,0.48476934,0.49362478,0.5138748,0.53853494,0.55435485,0.553048,0.53493804,0.5102715,0.48867497,0.47648835,0.47497943,0.4821751,0.49356127,0.5035377,0.51283866,0.5238473,0.5390584,0.55034155,0.5507372,0.5366173,0.5153621,0.4939165,0.4772253,0.46546015,0.45780185,0.45167378,0.44266224,0.42662716,0.40327325,0.3774025,0.3555278,0.34093508,0.33260563,0.32819405,0.3279858,0.3333021,0.34304997,0.35113993,0.35035476,0.33639058,0.31027105,0.27670366,0.24205895,0.212357,0.19113602,0.17834069,0.1709839,0.16578458,0.16105199,0.15701078,0.15454777,0.1540548,0.15483283,0.15576743,0.15611427,0.15595408,0.15563013,0.15525949,0.15473539,0.15398546,0.15304635,0.15221994,0.15300713,0.15922211,0.17596805,0.20583822,0.24474816,0.2825853,0.3092421,0.32118985,0.32237467,0.3192431,0.31564867,0.31190333,0.30731097,0.30227956,0.29779848,0.29464462,0.29259172,0.2921048,0.29352736,0.297354,0.30215418,0.3065238,0.3095101,0.31475124,0.3293786,0.36367318,0.4178342,0.4800314,0.5249436,0.53838056,0.5216316,0.49470532,0.47310007,0.46400115,0.4637537,0.46742836,0.47110876,0.47247577,0.47156176,0.46907827,0.468429,0.4730076,0.4875443,0.5090446,0.52891165,0.53207064,0.51479685,0.48294416,0.4521171,0.43062773,0.42036048,0.41773522,0.4200599,0.42551902,0.43092394,0.43400422,0.4335927,0.43372154,0.4394555,0.45670947,0.48358044,0.51283336,0.53016424,0.52837074,0.50798285,0.48167405,0.46062875,0.45141447,0.4514898,0.45604804,0.46107113,0.4649522,0.46698344,0.46605074,0.46303892,0.4622625,0.4714422,0.49298915,0.5193734,0.5336018,0.5248881,0.49604216,0.46303892,0.4391935,0.4287357,0.42649165,0.42661127,0.42522177,0.4219811,0.41786948,0.41537786,0.41754305,0.4279958,0.4497203,0.48031822,0.5101788,0.5241112,0.514017,0.48441565,0.4512327,0.4276885,0.41761717,0.41563323,0.41518784,0.41288206,0.40884253,0.40488896,0.4026432,0.40384647,0.4103931,0.4255762,0.45102417,0.4830025,0.5103731,0.520986,0.5110403,0.4879569,0.46404907,0.44676343,0.43683076,0.4314631,0.42904803,0.42875943,0.4296031,0.42996204,0.42949143,0.43089315,0.43895936,0.4573002,0.48097077,0.49856892,0.49793568,0.4814798,0.46132013,0.45237175,0.45566308,0.46587107,0.47502875,0.4819752,0.48584282,0.487891,0.48889232,0.4909369,0.49435377,0.49856913,0.50457543,0.5115188,0.5165228,0.5121338,0.49867177,0.48216376,0.4737021,0.47521183,0.4836421,0.49284872,0.50144935,0.5082679,0.5129533,0.5146871,0.5152169,0.5161676,0.5181108,0.519787,0.51973206,0.51641065,0.50829154,0.49351525,0.47259066,0.44694233,0.42127633,0.3985957,0.3821071,0.37001595,0.35919377,0.3458147,0.3297114,0.31352124,0.2996642,0.2901965,0.287025,0.29361224,0.3102038,0.33199382,0.34988308,0.357802,0.35592917,0.34998932,0.34504518,0.3425816,0.3398476,0.3338182,0.32345533,0.31117082,0.3003458,0.29355446,0.29079917,0.2913724,0.29416147,0.29892066,0.30397964,0.30747712,0.307276,0.3040125,0.2997469,0.29761735,0.29826424,0.3007048,0.30144897,0.29881433,0.2924297,0.2859397,0.28273126,0.28565738,0.29357985,0.30296716,0.30883935,0.30782425,0.3006173,0.29118702,0.28439453,0.2818949,0.28255928,0.2840157,0.28498295,0.2848961,0.28353748,0.28103924,0.2778147,0.27396974,0.26861385,0.2616855,0.25478524,0.25136444,0.25285208,0.25797054,0.26300183,0.26565,0.26557037,0.26388827,0.26133347,0.25804067,0.25421804,0.25046304,0.24766089,0.24648404,0.24758215,0.25134793,0.25805983,0.26652718,0.27457526,0.27865085,0.2773446,0.27162042,0.26582304,0.26297298,0.26410508,0.26710784,0.27014843,0.27156055,0.270884,0.26824343,0.2651029,0.2632962,0.2638471,0.26660156,0.270691,0.27493158,0.27750078,0.2766547,0.2724781,0.26748064,0.26468304,0.2647843,0.26595968,0.26594913,0.26426002,0.2615807,0.25922063,0.2577517,0.25800136,0.25963137,0.26271927,0.26684657,0.27229246,0.27769575,0.28079632,0.27956662,0.27454594,0.26855066,0.26421198,0.26272395,0.26320827,0.26438284,0.26464057,0.26368025,0.26207486,0.26127732,0.261807,0.26337433,0.26623085,0.2718496,0.28196383,0.2953008,0.30815604,0.31634703,0.31885996,0.31706488,0.31295422,0.3072599,0.30008292,0.2917738,0.28316057,0.27511242,0.26816502,0.26274705,0.25910023,0.25743148,0.25730786,0.2580296,0.25880948,0.25994357,0.26246494,0.26726905,0.27362964,0.2795042,0.2828502,0.28299448,0.28057954,0.27680823,0.27281448,0.26936606,0.26692292,0.26560497,0.26592633,0.26865384,0.27431318,0.28189966,0.2895112,0.29574966,0.30064335,0.30455768,0.3069931,0.30706322,0.30449393,0.2999504,0.29390022,0.2866752,0.27840385,0.26985115,0.26182482,0.25622097,0.25503197,0.25952208,0.26767147,0.27541873,0.27885202,0.27694046,0.2712189,0.2645791,0.2603209,0.26077023,0.2663906,0.27443537,0.2811568,0.28343627,0.28113416,0.27568448,0.26946798,0.26440874,0.2620019,0.26258156,0.26512957,0.26777956,0.26912725,0.26916122,0.26919976,0.2708303,0.27452734,0.2791791,0.28266922,0.28396693,0.2832972,0.28150725,0.27829885,0.2732964,0.2674569,0.26303956,0.26161596,0.26214567,0.26298407,0.26326147,0.26439962,0.26710263,0.27151594,0.27582625,0.27867484,0.2783588,0.27520636,0.27098295,0.2686688,0.26934168,0.27124274,0.27141586,0.26854515,0.26460886,0.26285055,0.26558658,0.2719474,0.27943802,0.2852842,0.28862062,0.28944063,0.2880791,0.28435126,0.27813292,0.26999837,0.2612766,0.25457898,0.25256142,0.2571554,0.26722154,0.27915192,0.28762618,0.2885829,0.27990317,0.26285928,0.24177355,0.22476049,0.22101176,0.2375706,0.27411464,0.32189116,0.3664415,0.3955867,0.40809795,0.41451645,0.42925903,0.4559686,0.48500776,0.5010267,0.49712905,0.47676793,0.44866094,0.42058206,0.3995284,0.39185402,0.39952073,0.4169244,0.43291673,0.43877992,0.4326663,0.41959965,0.40633926,0.39755893,0.39304814,0.3882557,0.3783256,0.36240387,0.34513378,0.3322825,0.3268844,0.32809904,0.33396804,0.34282365,0.35310438,0.36282682,0.3701906,0.37412277,0.3731968,0.36577487,0.35188746,0.33571577,0.32336292,0.3180019,0.31737858,0.3172584,0.31600717,0.31511024,0.31538174,0.31490052,0.31021938,0.30028036,0.2873341,0.27561688,0.26816246,0.2665087,0.27256945,0.28909388,0.31598973,0.3456396,0.3658148,0.36854544,0.3572433,0.34262106,0.33407703,0.33375677,0.33932292,0.34703198,0.35493067,0.3620471,0.3698134,0.37901437,0.38934243,0.39727995,0.40116778,0.40168485,0.4022051,0.40358064,0.40469527,0.4045311,0.40470085,0.4079809,0.41483077,0.42309764,0.42867568,0.42903653,0.42365324,0.4153458,0.40722367,0.40232065,0.40171015,0.40668806,0.41544294,0.42289034,0.41969815,0.40075096,0.3682491,0.3320627,0.30111992,0.27939406,0.26556027,0.25665894,0.25076836,0.2478848,0.25083765,0.2627751,0.28402892,0.3084717,0.32741597,0.3349851,0.33257362,0.32517254,0.31704772,0.30992332,0.3052111,0.30589846,0.31426167,0.32949314,0.34573582,0.35566926,0.35419285,0.34207186,0.3244988,0.30865693,0.30114445,0.30733773,0.32837987,0.35847518,0.3850635,0.39675987,0.39064035,0.37297353,0.35234025,0.3337252,0.31896654,0.30913636,0.3062576,0.31118414,0.32338217,0.3398672,0.35684475,0.37100902,0.38233316,0.3942337,0.4086975,0.42371917,0.4321603,0.43039778,0.41878676,0.403295,0.38845554,0.3793496,0.37888798,0.38862443,0.40587363,0.4272857,0.4505515,0.47418737,0.49370372,0.50237346,0.4952848,0.47292066,0.43982673,0.40187097,0.36486018,0.33374515,0.31160662,0.29826793,0.29156086,0.28891984,0.28907326,0.29199237,0.29846278,0.3086717,0.32073426,0.330611,0.33459342,0.33223855,0.3265752,0.321226,0.31720987,0.3132433,0.3078889,0.30169287,0.29604888,0.29147407,0.28685823,0.28082576,0.2738005,0.26811776,0.26766017,0.2750514,0.2914079,0.31480733,0.34215155,0.36789715,0.38564098,0.38952598,0.37875596,0.35879502,0.33793446,0.32231495,0.3128514,0.30808225,0.30611858,0.30710253,0.31119096,0.31918094,0.33006516,0.3428178,0.35482848,0.36592832,0.37630495,0.3877151,0.39861855,0.40634048,0.40711102,0.39995956,0.3868343,0.372799,0.36447212,0.36588535,0.3767425,0.39094505,0.40230837,0.40589437,0.4019275,0.39316607,0.38543844,0.38201192,0.381402,0.37669364,0.3630649,0.34290662,0.3251854,0.31738713,0.319888,0.32702395,0.33286607,0.33564988,0.33736956,0.34097227,0.3475162,0.35575318,0.36292663,0.3667363,0.3661724,0.3620142,0.35603908,0.3507209,0.34861267,0.35064983,0.35587075,0.36152264,0.3671578,0.3730395,0.37999013,0.3853308,0.38778105,0.3869051,0.38487473,0.3821123,0.37994874,0.38001946,0.38326585,0.38801873,0.39226687,0.3994483,0.41199657,0.42849216,0.4377145,0.43590474,0.42493367,0.41528884,0.40758762,0.40085816,0.39128947,0.3828356,0.38005164,0.39010763,0.41785386,0.46047997,0.50443655,0.5289044,0.52447915,0.4964839,0.46368715,0.43971953,0.43009904,0.43132985,0.43845722,0.44688806,0.45276976,0.4537382,0.44906828,0.44289145,0.44212207,0.454782,0.4796536,0.50715345,0.5210435,0.51542145,0.49484357,0.47330558,0.45899963,0.4531293,0.45083496,0.44805196,0.44342792,0.43661436,0.42748347,0.4155917,0.4049923,0.40342978,0.42053244,0.45447233,0.49266958,0.51385474,0.51076585,0.48973092,0.46917817,0.45773652,0.45447394,0.45120287,0.44513062,0.438678,0.43684217,0.44112644,0.4497194,0.4600618,0.47215828,0.48869506,0.5084961,0.5262063,0.5316195,0.52271754,0.5038294,0.48639563,0.47505704,0.4690876,0.46260652,0.45329833,0.44244018,0.4332719,0.4268663,0.42202595,0.41854367,0.41958964,0.43099204,0.45366347,0.48095623,0.49870053,0.49865398,0.48242036,0.46305463,0.45105228,0.4502556,0.4558184,0.46254024,0.46718648,0.46954772,0.4693013,0.4659196,0.4601597,0.4559374,0.45963955,0.47322878,0.49136567,0.5012606,0.49510434,0.47404814,0.4492731,0.4302975,0.42104146,0.41862842,0.41886485,0.41918075,0.41976365,0.42278484,0.429975,0.4419253,0.45801258,0.47902814,0.50507164,0.5332801,0.5557688,0.5656093,0.5624223,0.5518382,0.5402128,0.5291472,0.5198169,0.5120707,0.5073312,0.502556,0.49693918,0.48972896,0.4848865,0.4849062,0.49336365,0.5110932,0.53382367,0.5510049,0.55091983,0.53359514,0.50901455,0.49190775,0.4860953,0.4881945,0.4893572,0.4857757,0.4764736,0.46642098,0.46028104,0.46141335,0.46796718,0.47783864,0.4902955,0.50316113,0.510936,0.50524163,0.48620784,0.45952663,0.4346991,0.41267422,0.3918439,0.36947486,0.34864974,0.332458,0.32388675,0.32324997,0.3310915,0.34603894,0.36487713,0.3822808,0.39367685,0.39672795,0.3908365,0.37639055,0.35326627,0.3230051,0.2890967,0.26041037,0.24645036,0.25417548,0.2800356,0.31404796,0.3436271,0.36188185,0.36698976,0.36195052,0.35150254,0.34065282,0.3318114,0.3243364,0.31667444,0.3096977,0.3061013,0.3074211,0.3115069,0.3149096,0.3154041,0.31323567,0.30899587,0.30370897,0.29956412,0.30169055,0.31627777,0.34682167,0.3893291,0.43189383,0.45995772,0.46570778,0.45296958,0.4347334,0.42272773,0.42087507,0.42398533,0.42621732,0.42647085,0.43054977,0.44312987,0.46314958,0.48336276,0.49987105,0.51547974,0.53489465,0.55482763,0.5638025,0.55436504,0.5308004,0.50689405,0.49220356,0.48737487,0.48627684,0.4836608,0.4785197,0.47293547,0.46975267,0.468768,0.46871647,0.46919584,0.47448587,0.48628005,0.5004634,0.50490963,0.49357057,0.4699204,0.44674298,0.43193772,0.42598823,0.4237291,0.4221587,0.4213325,0.42242563,0.4241488,0.42416823,0.4214628,0.42051896,0.42797878,0.4476376,0.47389325,0.49468207,0.5001803,0.4906381,0.4752054,0.46259794,0.45539144,0.4511486,0.4483656,0.44752756,0.44907573,0.45116234,0.45190573,0.45115718,0.45243552,0.46042618,0.47889543,0.5045195,0.52743095,0.5348967,0.5223306,0.49557528,0.46776173,0.44935083,0.44441268,0.45102963,0.4650509,0.48182622,0.49671975,0.5060517,0.5089711,0.5091326,0.5125745,0.52405953,0.540853,0.5546279,0.5544818,0.53766084,0.50846994,0.47768298,0.4525682,0.43778,0.43344823,0.4395225,0.45325902,0.47100845,0.48754522,0.49942073,0.506095,0.51030976,0.5165177,0.52446336,0.5296488,0.52372503,0.5067086,0.48532233,0.4713929,0.46958062,0.47761118,0.48854282,0.4962908,0.49785256,0.49213073,0.4804732,0.46512377,0.4514902,0.44658247,0.45735696,0.48188916,0.5092325,0.52294767,0.5169106,0.49653587,0.47556207,0.4611914,0.4533813,0.44715068,0.4402012,0.4329429,0.42704332,0.42325032,0.42113996,0.4213126,0.4260629,0.43988466,0.46208715,0.48596767,0.49887896,0.4958084,0.4802846,0.46380186,0.45331323,0.45155573,0.45663944,0.46663794,0.47738913,0.48449627,0.48515785,0.48034373,0.47457358,0.47301483,0.48170206,0.50007534,0.52196836,0.5335534,0.5288959,0.51091385,0.49289015,0.4832621,0.48365188,0.4884096,0.49269164,0.494114,0.49327442,0.49098194,0.48878625,0.48920086,0.4964427,0.51289004,0.53441566,0.551105,0.55232567,0.53687257,0.5114917,0.48701152,0.4692373,0.46062997,0.461453,0.47107613,0.48563012,0.49825868,0.50334615,0.49952534,0.49135503,0.48622632,0.49115562,0.5061009,0.52290815,0.52875733,0.51770526,0.49572554,0.47700676,0.4717269,0.478423,0.48733208,0.4895823,0.48434997,0.47665834,0.47187772,0.47214437,0.4777031,0.48913255,0.5068471,0.52828664,0.5468563,0.55494165,0.5498689,0.5365873,0.52361363,0.51613665,0.51221365,0.50615436,0.4936265,0.47541025,0.4566885,0.44392085,0.44035998,0.44486132,0.45437956,0.46793583,0.4863287,0.50613093,0.5199128,0.51909274,0.5062484,0.48913157,0.47778645,0.4715173,0.4681345,0.46434188,0.46211493,0.46082482,0.4592816,0.4558114,0.45185205,0.45080423,0.45552102,0.46802214,0.4840249,0.49718162,0.4990135,0.49274385,0.48501077,0.48483476,0.4882721,0.49011192,0.4846671,0.47561386,0.46618104,0.46033725,0.45769903,0.4577901,0.45887664,0.46139827,0.46815458,0.4794886,0.49188766,0.49576142,0.48789266,0.4691876,0.4479028,0.42784455,0.4137806,0.4071951,0.40977752,0.41870186,0.43100715,0.44582805,0.46198523,0.47642064,0.48212746,0.48007008,0.474967,0.47633663,0.48415652,0.49791458,0.5123132,0.52630025,0.5337684,0.5338745,0.5261249,0.51645595,0.50632566,0.49750778,0.48963928,0.4841961,0.48240387,0.48557803,0.49817535,0.5196647,0.5446164,0.557532,0.55181384,0.5294073,0.50470567,0.4863236,0.47791728,0.47534862,0.4739695,0.46816897,0.45504174,0.43654004,0.4194521,0.41153935,0.41602436,0.4310322,0.45005086,0.46652234,0.47486472,0.47431228,0.46722007,0.45909765,0.45400462,0.45430365,0.458639,0.46457794,0.46966055,0.47462285,0.48275605,0.49544582,0.51002765,0.5188381,0.519178,0.51276475,0.50714165,0.50572073,0.5098903,0.5184066,0.5290678,0.53862447,0.5428059,0.54331636,0.54113847,0.5372533,0.5242397,0.5005349,0.46841398,0.4393386,0.42001233,0.4147245,0.4203273,0.4320443,0.44196114,0.44608763,0.44486502,0.4429336,0.44256723,0.44253388,0.4413176,0.44047567,0.444046,0.45281565,0.46332154,0.46977898,0.4693035,0.46418455,0.46057224,0.46605524,0.48200306,0.5025609,0.51503867,0.51296717,0.4982067,0.4809811,0.46765867,0.46042904,0.45778778,0.46053863,0.4688839,0.48006868,0.487182,0.48508286,0.47524643,0.46568358,0.46338224,0.46875885,0.47628,0.48086396,0.48131466,0.4789698,0.47492382,0.46990144,0.4649847,0.46092057,0.45705092,0.45405003,0.45603886,0.4689152,0.4907268,0.51011205,0.5121947,0.4946908,0.46793255,0.44825026,0.44323674,0.4525075,0.46913922,0.48614287,0.4970127,0.5011749,0.50274557,0.50706786,0.5129301,0.5143817,0.5060074,0.4887985,0.468665,0.45290378,0.4465594,0.44978595,0.45832703,0.46540737,0.46767268,0.46555778,0.46290836,0.46224865,0.46465412,0.4685826,0.47135425,0.47011113,0.4651378,0.4601421,0.46018788,0.4683365,0.48482016,0.50879645,0.53571385,0.5583596,0.5665586,0.5580123,0.5377129,0.51755005,0.50404584,0.49813497,0.49463317,0.48927364,0.47948763,0.4666908,0.453886,0.4448092,0.44147596,0.44438386,0.45309326,0.46485093,0.4757117,0.47977754,0.47565624,0.46492895,0.4534538,0.44412005,0.43791685,0.43304527,0.4291717,0.4282398,0.4340879,0.45053077,0.475477,0.5015769,0.51684713,0.51615506,0.50182796,0.48464355,0.47371683,0.47473106,0.4886891,0.5122166,0.5400041,0.56299734,0.5770462,0.5773404,0.5644446,0.5364747,0.5003656,0.46534705,0.44446608,0.44139978,0.45302787,0.4695215,0.48321244,0.48952878,0.48923862,0.4849315,0.47927436,0.4730586,0.4656751,0.45711944,0.44754812,0.43858376,0.43182603,0.4307312,0.43709323,0.45032775,0.46566507,0.47982237,0.492209,0.5035258,0.51070887,0.5085922,0.4967706,0.48111334,0.47126436,0.4719268,0.48472834,0.5046346,0.52599245,0.5386862,0.539933,0.52947307,0.515022,0.49893656,0.48447314,0.46947482,0.45534635,0.44294313,0.4378465,0.44462672,0.46186122,0.47947836,0.4840591,0.47359622,0.4564527,0.447121,0.4498625,0.46301827,0.47857913,0.4921895,0.49939904,0.5014796,0.5014219,0.5028562,0.50372577,0.49895796,0.48647296,0.47039783,0.4581078,0.45324552,0.45474946,0.458897,0.4633349,0.46711656,0.46999887,0.47147772,0.47108328,0.46925512,0.4676516,0.4693931,0.4756035,0.48502526,0.49321303,0.49842486,0.5005416,0.5012045,0.49929163,0.49410713,0.48626718,0.47836694,0.47181615,0.46619523,0.46140054,0.45845494,0.46060356,0.47040734,0.4902695,0.5164245,0.5404847,0.5498801,0.54037064,0.51660776,0.49120748,0.47179973,0.46030483,0.45330766,0.44996607,0.4511707,0.4587126,0.47112015,0.4849023,0.4964088,0.50403744,0.5086612,0.5107069,0.5107515,0.5074946,0.50205535,0.49520004,0.48924065,0.48406672,0.47971854,0.47556743,0.47148016,0.46792936,0.46630284,0.47058177,0.48133457,0.49494195,0.50139636,0.4964188,0.48256394,0.46947074,0.46292314,0.46465707,0.47337964,0.48646864,0.50013334,0.5100315,0.5176707,0.5251228,0.5326634,0.53252196,0.5218974,0.5048056,0.4933709,0.4932897,0.50282663,0.512963,0.51665324,0.5099038,0.49484885,0.4757298,0.45853838,0.44665918,0.44188666,0.44331178,0.44858682,0.45447028,0.4579656,0.45848796,0.4575057,0.45888042,0.4659678,0.4806536,0.50068045,0.5197061,0.5291238,0.5235979,0.50551885,0.48383632,0.4677817,0.4614391,0.46359864,0.47121027,0.480979,0.48956013,0.49350104,0.49158773,0.4858955,0.48082945,0.47966003,0.4822098,0.48452136,0.48208466,0.47323522,0.46132204,0.4519393,0.44907287,0.4521259,0.45712325,0.4591392,0.45592204,0.4499203,0.4488783,0.4593561,0.47987536,0.49823427,0.5017929,0.48854318,0.4688498,0.45630708,0.4573638,0.47205994,0.49400607,0.51666397,0.5319426,0.54037446,0.54517543,0.5514445,0.55415076,0.54748493,0.52842766,0.5041507,0.48305234,0.47074687,0.46695438,0.4685066,0.47182742,0.4731464,0.47109902,0.46580136,0.46026185,0.45673928,0.45627236,0.45713887,0.45647094,0.4520978,0.44443193,0.43663386,0.4320508,0.4332118,0.44108227,0.45774233,0.48138794,0.5071767,0.5242984,0.5280983,0.51934594,0.50721157,0.4975759,0.49326062,0.49204922,0.49190545,0.4912484,0.48980665,0.4884896,0.48951888,0.49609748,0.50919825,0.525511,0.535722,0.531223,0.5092844,0.47923172,0.454908,0.44743702,0.45618352,0.47278044,0.4869249,0.49347582,0.49368277,0.49333858,0.5004571,0.51794773,0.5420949,0.56037563,0.5639865,0.55079097,0.53083235,0.51525503,0.51322836,0.5243881,0.5429659,0.56038505,0.5719361,0.57682467,0.57614356,0.5704439,0.5598741,0.5456671,0.529042,0.5115898,0.49561802,0.48542503,0.48410806,0.4902916,0.49840546,0.50332123,0.5043865,0.50279915,0.49979067,0.49525833,0.49247965,0.49471688,0.5046398,0.5192871,0.5364418,0.55129653,0.5609117,0.55951434,0.5485826,0.53250164,0.5184832,0.50597006,0.491282,0.47213444,0.45195782,0.4355236,0.4235988,0.41363037,0.40289918,0.3905985,0.37660536,0.35950467,0.3386627,0.31541395,0.2952572,0.28473318,0.28874996,0.30651334,0.3311349,0.3516808,0.35761663,0.34388757,0.31323665,0.27542335,0.24149196,0.21859457,0.20706464,0.20319729,0.20272966,0.20362943,0.20524399,0.20747209,0.20960218,0.21111374,0.21157527,0.2112049,0.21022384,0.20901765,0.20782359,0.20709033,0.20740809,0.20959501,0.21451344,0.22386207,0.24006014,0.265394,0.2981905,0.33223394,0.35913897,0.37503365,0.38236642,0.38651356,0.39029565,0.392243,0.3905559,0.38554502,0.38022026,0.37674084,0.3753401,0.37456623,0.37329528,0.37149957,0.36986625,0.36923635,0.3698627,0.37314844,0.38221666,0.40319768,0.43735585,0.4786075,0.5113643,0.52552503,0.52022386,0.50609076,0.4915042,0.48037064,0.47142354,0.46402857,0.4583466,0.45418528,0.45049253,0.44612145,0.4420706,0.44097856,0.44605073,0.45625436,0.46710506,0.47121954,0.46699068,0.45742893,0.44963154,0.44585696,0.4441009,0.4405431,0.4342749,0.42905414,0.4290848,0.43838754,0.45413056,0.47057995,0.47756588,0.47208098,0.45565033,0.43702945,0.4228867,0.4194654,0.42933428,0.44976804,0.47282025,0.48844635,0.49613917,0.49849784,0.49918827,0.49090394,0.4708414,0.44177696,0.41812924,0.40897524,0.41669032,0.4338847,0.4523456,0.46425712,0.46690288,0.4612991,0.45238045,0.4447135,0.4416932,0.44473705,0.4523566,0.46189198,0.46928668,0.4746362,0.47748494,0.4789234,0.4775945,0.4773065,0.48210886,0.49296656,0.50282264,0.50429624,0.49984726,0.4956241,0.49609843,0.49408975,0.48885596,0.48093486,0.4765401,0.46939263,0.45692685,0.43981218,0.42938235,0.43070817,0.44232956,0.45614722,0.46621373,0.4693133,0.4658872,0.45837533,0.45040664,0.4441079,0.4400035,0.4375818,0.43780985,0.4418894,0.45148432,0.46598327,0.484362,0.50162894,0.5134044,0.5157092,0.51382583,0.51298743,0.5173485,0.519128,0.5141,0.50096923,0.4901358,0.48618653,0.49094406,0.49613214,0.49754742,0.4915813,0.4822698,0.4710246,0.4594754,0.44615492,0.4350873,0.43331063,0.4444523,0.4625744,0.4739745,0.47346044,0.46360195,0.45469758,0.44862747,0.44688022,0.44688097,0.44921434,0.44958666,0.44665134,0.44118583,0.43815124,0.4387376,0.44179752,0.446058,0.45342577,0.46334994,0.47108158,0.46869576,0.45456588,0.4326546,0.41179729,0.39578748,0.38578478,0.37751868,0.36959514,0.36097428,0.35612395,0.35638383,0.3609464,0.3626537,0.35809866,0.34793296,0.3379915,0.3305982,0.32464018,0.3168221,0.30561557,0.29129848,0.27469352,0.25796136,0.24343975,0.23380359,0.22918594,0.22843711,0.22929287,0.23076959,0.23204821,0.23262765,0.23135072,0.22839797,0.22495289,0.2231707,0.22373486,0.22629601,0.22967939,0.2331987,0.23585491,0.23664732,0.23468633,0.23044224,0.22488391,0.21933454,0.21445811,0.21111989,0.20972951,0.21019877,0.21131617,0.21167453,0.21062915,0.20885152,0.20752482,0.20728324,0.20771015,0.20797844,0.20738393,0.20575947,0.20326437,0.20051622,0.19820006,0.19678412,0.19635727,0.19716494,0.20013613,0.20585561,0.21363686,0.22081059,0.22500134,0.22520147,0.22266066,0.2191003,0.21618797,0.21472818,0.21482812,0.21555202,0.2153225,0.21271221,0.20762406,0.20157944,0.19686015,0.19480516,0.19484098,0.19510083,0.19388773,0.19083257,0.18668272,0.18262988,0.17953323,0.17758918,0.1764242,0.17531133,0.17396046,0.17246644,0.17158826,0.17171733,0.1732107,0.17574954,0.17922,0.18305372,0.1867653,0.18959032,0.19125092,0.19185181,0.19191241,0.19183125,0.1918933,0.1921522,0.19268072,0.19334923,0.19402362,0.19429775,0.19374828,0.1919726,0.18927068,0.18686736,0.18641607,0.18887265,0.19333588,0.19777359,0.20010336,0.19998004,0.19836257,0.1968826,0.19626854,0.19631584,0.19605595,0.19477023,0.19238518,0.1897614,0.18827684,0.18922496,0.19318844,0.19964653,0.20707332,0.21321227,0.21587175,0.21376163,0.20719413,0.19805916,0.1891666,0.18311615,0.18120135,0.18311942,0.18780042,0.19485892,0.2044114,0.21585715,0.22633196,0.23221187,0.23118633,0.22414412,0.21399069,0.20413683,0.19690768,0.19329844,0.19311754,0.19553296,0.19978714,0.20500399,0.21017283,0.21390738,0.21573395,0.21596801,0.21531688,0.21340793,0.20975012,0.20462553,0.19966458,0.19651799,0.19620246,0.19945793,0.206411,0.21601881,0.22503962,0.23033683,0.23050594,0.2273923,0.22388454,0.22238441,0.22306539,0.2246115,0.22520967,0.22433244,0.2228858,0.2222452,0.22258197,0.22284736,0.22184055,0.21953668,0.21665506,0.21381374,0.210712,0.20693994,0.20256115,0.19846387,0.19532783,0.19322364,0.19167453,0.19085811,0.19196177,0.19664478,0.20503183,0.21491277,0.22242248,0.22506571,0.22297536,0.21866967,0.21440776,0.21118574,0.20858254,0.20611136,0.2038489,0.20261507,0.20313288,0.20531215,0.20819066,0.21062808,0.21189332,0.21137089,0.20870735,0.20400436,0.1986134,0.1941152,0.19149284,0.1903479,0.18990342,0.18970753,0.18981576,0.19038892,0.19140996,0.19277598,0.19393529,0.19398655,0.19220531,0.18920158,0.18657666,0.18564747,0.18641023,0.18833663,0.19115783,0.19426416,0.1960252,0.19461425,0.19005986,0.18414694,0.17887127,0.17484845,0.17165644,0.16838114,0.16419208,0.15897001,0.1539071,0.15032636,0.14802338,0.1445906,0.13792753,0.1275238,0.11469462,0.10045677,0.08584511,0.07186853,0.060110774,0.05151246,0.046827555,0.04645853,0.050526123,0.05944856,0.076154664,0.10943667,0.16736151,0.2494204,0.33773935,0.40974465,0.44993266,0.46115097,0.4539144,0.43988323,0.424606,0.41273823,0.4061003,0.40734187,0.4155805,0.429891,0.44440174,0.45488694,0.4580815,0.45740148,0.4553438,0.45397902,0.4513209,0.44716704,0.44067076,0.4320197,0.42075375,0.4086205,0.3984286,0.39202297,0.38857326,0.38497043,0.3787963,0.36935163,0.35867584,0.3496188,0.34473965,0.3447311,0.34833062,0.35312447,0.3561233,0.35603395,0.35306177,0.34975114,0.34779966,0.34822842,0.35004506,0.3528501,0.35635948,0.3612294,0.36747435,0.3744366,0.38058305,0.38417175,0.3846737,0.38267526,0.3800136,0.37760282,0.3757945,0.3738509,0.37153578,0.36881804,0.36609867,0.36349156,0.36055863,0.35669836,0.35101447,0.3425155,0.33010402,0.31466436,0.3005644,0.29348683,0.29601538,0.30387184,0.3102984,0.31064832,0.30666292,0.3023262,0.30113998,0.30334076,0.3079015,0.3133855,0.31895298,0.32370397,0.32705477,0.32882643,0.3302003,0.3322132,0.33518073,0.33708712,0.33611897,0.33133963,0.3243661,0.31729475,0.3123921,0.31149504,0.31595466,0.3258725,0.3381622,0.34764257,0.34873462,0.3394482,0.32129085,0.29813874,0.2736844,0.25156316,0.23537187,0.22774564,0.22866519,0.2353416,0.24388862,0.25080332,0.2538135,0.25277928,0.2499501,0.2486399,0.2501753,0.25390422,0.25917926,0.26777062,0.28078926,0.29547584,0.30493423,0.30392274,0.29261824,0.27583984,0.25830728,0.24283105,0.23074444,0.22316591,0.21964206,0.21823972,0.21653475,0.21450275,0.21375103,0.215886,0.22034003,0.22612964,0.23391926,0.2455017,0.26082736,0.27497604,0.2816137,0.27704188,0.26422992,0.2492367,0.23754008,0.23050152,0.22679977,0.22445644,0.22335678,0.22591968,0.2362032,0.25595912,0.28157458,0.3039766,0.3148218,0.31138447,0.29816532,0.28193763,0.2679641,0.2579991,0.25185552,0.24856277,0.24731326,0.2471696,0.24740009,0.24730237,0.24754846,0.24881393,0.2520323,0.25641713,0.26212153,0.26896834,0.2767532,0.28265885,0.28457567,0.282843,0.2809542,0.28078917,0.28158143,0.28075707,0.27803504,0.27456197,0.27192053,0.2693337,0.2644019,0.25440705,0.2396245,0.22489099,0.21725786,0.22081254,0.23258603,0.24529982,0.25281093,0.254325,0.2518514,0.24738473,0.24129893,0.23500685,0.23035426,0.22867166,0.22859634,0.22797714,0.22564377,0.22219984,0.21940298,0.21860367,0.22050655,0.22395037,0.22656684,0.22539972,0.21914963,0.20982492,0.20256376,0.20287615,0.21187264,0.2248532,0.23385958,0.23407699,0.22653027,0.21690935,0.21009259,0.20798258,0.2090118,0.21143758,0.21353918,0.21503574,0.21542497,0.21507315,0.21418293,0.21399404,0.2159123,0.22096716,0.22842245,0.23553576,0.23880582,0.23528378,0.2245994,0.20967722,0.19674867,0.19219935,0.19930792,0.21630788,0.2381,0.25927925,0.27600095,0.28648654,0.28989765,0.28659746,0.27734414,0.26408982,0.2487822,0.23453909,0.22445406,0.2216507,0.22585614,0.2333622,0.23855412,0.23919553,0.23865287,0.24205333,0.2505691,0.25784636,0.25681418,0.24528037,0.22960709,0.21807075,0.21659179,0.22484797,0.23739453,0.24525575,0.24147075,0.2279609,0.21691047,0.22395176,0.2549295,0.3013558,0.3450962,0.37285134,0.38252938,0.3824642,0.3813388,0.38349605,0.3875912,0.3911141,0.39193884,0.39011815,0.38641557,0.3820169,0.37700224,0.37099138,0.36430693,0.35887167,0.35731745,0.3603821,0.36618245,0.37132886,0.37405682,0.37466106,0.37454847,0.373765,0.37187886,0.368714,0.36572763,0.36400768,0.36401546,0.3650479,0.3668629,0.36926997,0.3720574,0.3746293,0.37662426,0.37840143,0.38005057,0.38072672,0.37873468,0.37361893,0.36741897,0.3631141,0.36267588,0.3652325,0.36940458,0.37359223,0.37746656,0.380154,0.3816857,0.38206255,0.38236535,0.38261172,0.3830304,0.38290456,0.38236523,0.38082388,0.3788081,0.3774313,0.37881157,0.38367096,0.3903854,0.39624646,0.39941117,0.40017462,0.3994527,0.3982385,0.39727452,0.39705765,0.39730218,0.3963873,0.39305523,0.38690194,0.37939754,0.37203577,0.36664942,0.36359397,0.36257175,0.3617806,0.36066982,0.35952377,0.3597542,0.3612448,0.36315107,0.36471328,0.36615786,0.36790356,0.3693705,0.3701477,0.37018827,0.37023318,0.37027505,0.36981407,0.36847547,0.36676374,0.365967,0.3672636,0.37093008,0.37574014,0.3797808,0.38151732,0.3812413,0.37972233,0.3780791,0.3759315,0.3734186,0.370315,0.36757132,0.36568785,0.36549923,0.3671752,0.37050617,0.37453762,0.37825832,0.38095376,0.38222647,0.38149467,0.3783599,0.37338424,0.3682996,0.3656231,0.36675057,0.37184533,0.37841275,0.38382486,0.38610768,0.38605753,0.3850702,0.38308772,0.37924552,0.37295917,0.36672512,0.36195052,0.3585221,0.35205343,0.338061,0.31367102,0.28067252,0.24509108,0.21384214,0.19146155,0.1775213,0.16920817,0.1633782,0.158612,0.15450169,0.15103842,0.148138,0.14557569,0.14316313,0.14074516,0.13835,0.1361367,0.1344003,0.13341182,0.13323124,0.13371293,0.13456357,0.13560295,0.13659711,0.13728774,0.13732934,0.13666241,0.1355754,0.13460062,0.13420062,0.13463227,0.13600528,0.13829942,0.14135467,0.14482121,0.1482665,0.15130906,0.15376909,0.15565719,0.15715832,0.1584639,0.15978675,0.16120805,0.16278982,0.16445702,0.16623642,0.16824146,0.17073464,0.17377724,0.17706536,0.18006735,0.18242836,0.18429582,0.18612862,0.18849695,0.19169907,0.19570376,0.20005013,0.20416604,0.20770557,0.21075326,0.21369582,0.21691151,0.22066958,0.22582404,0.23570387,0.25718555,0.29817823,0.35974297,0.43130112,0.4932846,0.53055483,0.5404888,0.5333144,0.52139133,0.5128712,0.5092458,0.5088888,0.5090522,0.5077753,0.5042333,0.49933636,0.49527588,0.49407408,0.4964112,0.49958277,0.4996934,0.4925759,0.4788866,0.46261445,0.4502302,0.44503328,0.44661796,0.4519342,0.4587921,0.46774468,0.48074973,0.49873948,0.517288,0.5283119,0.5239596,0.50558347,0.48228374,0.46566153,0.4604555,0.46488377,0.47520208,0.4873551,0.4993883,0.50844693,0.51793337,0.52826214,0.53912455,0.5406005,0.5299027,0.5093228,0.490603,0.47929683,0.47605667,0.47623232,0.4761978,0.4735917,0.46750036,0.4597558,0.45307544,0.45020905,0.45064113,0.4533327,0.45653787,0.46009567,0.4626566,0.46375775,0.463492,0.4643625,0.46893,0.4789689,0.49591604,0.51858765,0.5429297,0.55929834,0.5627816,0.55533534,0.54798025,0.5473003,0.55233765,0.5550981,0.5496082,0.53560543,0.5170168,0.49896264,0.48452398,0.4754689,0.47204074,0.4746921,0.48245382,0.49398136,0.50570303,0.5153749,0.5205578,0.5218458,0.51972336,0.51660115,0.51364213,0.51185846,0.5115672,0.513855,0.5204224,0.5282326,0.5310371,0.5205733,0.4995539,0.47691664,0.465237,0.4669019,0.4794978,0.49668804,0.5139901,0.52624243,0.5311628,0.5310605,0.5301644,0.52957684,0.5252401,0.5152933,0.5019451,0.49113932,0.48533353,0.48480165,0.48651567,0.48730674,0.4819975,0.46918008,0.45133385,0.43686903,0.43226314,0.4404845,0.45749938,0.4777961,0.49585572,0.50996745,0.5190107,0.5223096,0.5193934,0.5137093,0.51224524,0.51893616,0.529296,0.53073794,0.5150915,0.48551562,0.4554793,0.436775,0.43234754,0.43795833,0.44820103,0.4610635,0.47556892,0.4897883,0.5004478,0.50707394,0.5135494,0.5248328,0.54007703,0.55169624,0.55101925,0.5372878,0.51707876,0.49883416,0.4852921,0.47566786,0.46951008,0.46911612,0.47612548,0.48829198,0.502175,0.5145545,0.5248094,0.5310366,0.5339996,0.53670734,0.5433197,0.55285305,0.5581851,0.5545917,0.5420026,0.5279961,0.51787287,0.5182605,0.5291064,0.5485897,0.566462,0.57667035,0.5755537,0.5679337,0.55673337,0.54636544,0.5400316,0.5410003,0.5480146,0.55388707,0.5530264,0.5434551,0.53116775,0.5212407,0.51970166,0.52691007,0.5407157,0.55359983,0.560591,0.5612343,0.55909246,0.55559903,0.54775983,0.5334883,0.5133463,0.4922752,0.4735001,0.4606603,0.45454872,0.45480108,0.45630434,0.45327866,0.44197658,0.42411363,0.40507343,0.3901465,0.3815713,0.37720117,0.37346545,0.36796203,0.36207235,0.35821548,0.35653472,0.35167763,0.33585858,0.30436304,0.2605773,0.21460474,0.17713939,0.15359698,0.14258754,0.13914973,0.13820656,0.13657503,0.13299812,0.12775983,0.12220647,0.117732674,0.11514598,0.11424839,0.11444444,0.115181305,0.11640158,0.118514515,0.121985376,0.1268099,0.13245791,0.13923426,0.14991535,0.16898878,0.19888927,0.23536356,0.26867723,0.2889898,0.29368982,0.2871399,0.27733147,0.26957732,0.26594424,0.2650925,0.26527378,0.264879,0.26388308,0.2629361,0.26275134,0.26332605,0.26442114,0.26627687,0.2696402,0.27652848,0.29067612,0.31831643,0.36171433,0.41521916,0.46268415,0.49072695,0.49538144,0.4857124,0.4713533,0.4580373,0.4460056,0.43572453,0.42805958,0.4228529,0.41783723,0.41025698,0.40032938,0.39129877,0.38886604,0.39530435,0.40891886,0.42252293,0.43124095,0.43336824,0.43232414,0.43045416,0.42901292,0.4280909,0.42881587,0.4321181,0.43722558,0.44206485,0.4450234,0.44706225,0.45209324,0.46530142,0.4887236,0.51527286,0.5309527,0.52299386,0.49323297,0.45472804,0.42366585,0.4059331,0.4006821,0.4036896,0.41255498,0.42393783,0.43361974,0.43781015,0.43565932,0.4305799,0.42856827,0.43520805,0.44967008,0.4650226,0.47128382,0.4661105,0.4542998,0.44569293,0.4438722,0.44735804,0.45044696,0.4506713,0.44797012,0.4445689,0.4417214,0.4399104,0.44109154,0.44914773,0.4692198,0.49587536,0.5162882,0.51252455,0.4866744,0.4528134,0.433789,0.43332824,0.44579682,0.4563233,0.45795026,0.44644228,0.42628923,0.4053829,0.39299884,0.3930149,0.40359822,0.42337778,0.44796288,0.47228393,0.48508513,0.4850433,0.47589698,0.46831128,0.46275893,0.45766667,0.45005524,0.443,0.4376097,0.43395177,0.43150535,0.43198338,0.43672547,0.4449409,0.4563152,0.4681708,0.47608116,0.47099054,0.45221612,0.42657378,0.4081138,0.40171206,0.40539393,0.41102564,0.41511595,0.41772977,0.42453274,0.44137028,0.46749294,0.49334073,0.5048766,0.5000358,0.48611495,0.4768771,0.4763577,0.48589018,0.5006651,0.5150397,0.51755995,0.5027488,0.47524285,0.44827604,0.43124196,0.42470285,0.42631426,0.43319377,0.44256818,0.4454334,0.4340603,0.40434727,0.36112604,0.3110077,0.26133892,0.21666098,0.18029721,0.15330368,0.13574569,0.12724996,0.12670253,0.13148315,0.13704354,0.1397447,0.1384338,0.1353659,0.13384502,0.13697177,0.14660232,0.1623626,0.18146025,0.1990612,0.21210285,0.22009455,0.22522946,0.22853498,0.23006253,0.22875279,0.2247628,0.21858467,0.21154,0.20474589,0.1992609,0.19512577,0.19176121,0.18880479,0.18679279,0.1867717,0.18896997,0.19249935,0.19578858,0.19775088,0.198026,0.19679028,0.19446015,0.19176102,0.1896621,0.18885942,0.18925573,0.1902797,0.1915022,0.1932525,0.19595324,0.19961548,0.20329674,0.20594133,0.20703775,0.20709918,0.2069595,0.20708655,0.20721258,0.20669468,0.2050425,0.20221268,0.19892909,0.19607316,0.19443722,0.19405735,0.19532464,0.1994452,0.20771992,0.21948779,0.23097388,0.23795237,0.23849387,0.23462577,0.23010574,0.22824685,0.23016627,0.2343748,0.2376325,0.23696572,0.23196255,0.22462846,0.21742873,0.21155785,0.20734255,0.20512521,0.20505072,0.20613766,0.20624673,0.20351686,0.1972572,0.18870145,0.1799248,0.1735671,0.17094643,0.17210178,0.17549081,0.17960335,0.18315952,0.1856515,0.18681861,0.18685852,0.18597168,0.18459414,0.18359363,0.18426098,0.1872379,0.19121705,0.19348766,0.19220935,0.18805225,0.18362616,0.1809129,0.18030934,0.18066727,0.18086237,0.18038726,0.18009247,0.18176083,0.18670528,0.19423646,0.20151745,0.20580308,0.2062664,0.20435417,0.20195545,0.19998221,0.19808216,0.19552003,0.19224219,0.18908878,0.18721537,0.18689655,0.18755125,0.18969697,0.19732706,0.21731128,0.25365388,0.30191183,0.3489393,0.38115337,0.39241457,0.38649225,0.3715756,0.35472348,0.3391193,0.32547295,0.31368303,0.30395043,0.29622948,0.28993,0.28372002,0.27639216,0.2671431,0.25574207,0.24230224,0.22756384,0.21276486,0.19927458,0.18785524,0.17901222,0.1732334,0.17110439,0.17205699,0.17454302,0.1766886,0.17829025,0.179928,0.1825852,0.18574597,0.18889372,0.19100904,0.19200337,0.19163503,0.19047613,0.18894254,0.18747425,0.1858563,0.18391721,0.18178336,0.17987688,0.17816667,0.17586194,0.17237021,0.16838348,0.1663208,0.16843398,0.17528582,0.18491328,0.194484,0.20173548,0.20583831,0.20713007,0.2063685,0.20455873,0.2022578,0.19987172,0.19729088,0.19466342,0.19207685,0.18993919,0.18832292,0.18784498,0.18962114,0.19610102,0.20822857,0.2242046,0.23794043,0.244123,0.24117257,0.2334134,0.22663833,0.2250247,0.22900367,0.23624434,0.2430926,0.24658495,0.24611358,0.24329285,0.23998964,0.23668547,0.23272105,0.22762768,0.22186536,0.21617962,0.21145427,0.20807107,0.20642255,0.2063318,0.20752794,0.2091039,0.20999207,0.20951982,0.208152,0.2069822,0.20654781,0.20652811,0.20657964,0.20657341,0.20639701,0.20551427,0.20394164,0.2020697,0.2003429,0.19858713,0.19652362,0.19407795,0.19126453,0.18832648,0.18569367,0.18364741,0.1815904,0.1785556,0.17423166,0.16915257,0.16373044,0.15776898,0.15103422,0.14342755,0.13439922,0.12275415,0.10803795,0.09175998,0.07673951,0.0651626,0.057310227,0.052170575,0.04850136,0.04551424,0.042725395,0.040044684,0.03830615,0.0397203,0.046682656,0.059258014,0.07344803,0.08317279,0.08442992,0.07803065,0.06827157,0.059503376,0.05410102,0.052100774,0.052308008,0.052683312,0.051810276,0.049213473,0.04598069,0.043642744,0.043913517,0.04769246,0.054445684,0.061640907,0.065783344,0.0647416,0.059054498,0.051429704,0.044477463,0.039505925,0.03635761,0.034353357,0.032807235,0.03132538,0.029747888,0.028096542,0.02647048,0.02497171,0.023657218,0.022529216,0.021523476,0.020535419,0.019428413,0.018120164,0.016623253,0.015071161,0.013637441,0.012444519,0.011522899,0.010816797,0.010252476,0.009757161,0.009294,0.008842823,0.008404524,0.00798664,0.0076000206,0.007256186,0.0069533275,0.0066799535,0.0064105405,0.006126885,0.005825167,0.005518054,0.005221768,0.0049400046,0.004664907,0.004381363,0.0040861415,0.003800247,0.0035749662,0.0034712474]