[0.036891185,0.036556255,0.03563304,0.034101028,0.032145876,0.030190619,0.028593754,0.02745811,0.026549788,0.025468215,0.023808086,0.021332929,0.018046059,0.01424059,0.010384011,0.0069794618,0.004368303,0.0027111296,0.0027487092,0.0071137114,0.021636114,0.052769523,0.10212771,0.16062216,0.21161246,0.24128926,0.24967505,0.24910764,0.25286388,0.26355305,0.27367994,0.27428475,0.26399705,0.24883823,0.23707719,0.23210667,0.23085527,0.22611792,0.21226084,0.18921804,0.16305858,0.14321315,0.13752007,0.14819422,0.16981222,0.19217114,0.2055317,0.206551,0.2000873,0.19625376,0.20318188,0.22092338,0.24201514,0.2577143,0.26440704,0.263366,0.25774693,0.25025907,0.24366242,0.24014835,0.23917602,0.2370715,0.22936594,0.2148446,0.19617857,0.17774947,0.16232516,0.15038548,0.14157002,0.13658674,0.13662104,0.14165671,0.14816199,0.1510335,0.14623119,0.13428637,0.1186679,0.10307244,0.08898989,0.07732733,0.0714375,0.07791736,0.10292629,0.14700167,0.20197491,0.25435904,0.29089376,0.30576313,0.30230245,0.29119185,0.28321815,0.28336087,0.28949746,0.2962732,0.30072173,0.30347016,0.30722988,0.31327844,0.32099786,0.32887194,0.33666602,0.34557927,0.3570708,0.37072888,0.3836335,0.39025906,0.38387635,0.35881615,0.31470063,0.25911543,0.2047864,0.16311258,0.13826573,0.12953973,0.13342868,0.14607461,0.15958835,0.1653257,0.15704651,0.1361898,0.10920948,0.08382232,0.065618224,0.05844918,0.0664384,0.09350028,0.1405229,0.20131834,0.26306108,0.3117263,0.33848512,0.3422142,0.326147,0.29538745,0.25736758,0.2236002,0.2069271,0.2135101,0.23950069,0.2732137,0.30438384,0.32729304,0.3411522,0.34583905,0.34184277,0.33035406,0.31522998,0.30116645,0.29217985,0.28781494,0.28420615,0.27652428,0.26393515,0.24951291,0.2364354,0.22481489,0.2136413,0.20545186,0.20623755,0.21886057,0.23770458,0.24976063,0.24408592,0.21899414,0.18398942,0.15288246,0.13647132,0.13830446,0.15704001,0.18949579,0.23122327,0.2742884,0.30840275,0.32559308,0.32499644,0.311833,0.29269958,0.27116245,0.24715073,0.21885228,0.18524547,0.14783566,0.11072835,0.0789349,0.055863965,0.041900534,0.035386626,0.035416037,0.044176947,0.064938754,0.096607156,0.12913,0.1482539,0.14642352,0.13111468,0.12047958,0.1298246,0.16168557,0.20521851,0.24599774,0.27370977,0.2866842,0.28835848,0.28350636,0.27503088,0.26520777,0.25688097,0.25287524,0.25188887,0.24902903,0.24018817,0.22986613,0.22748381,0.23897505,0.25791565,0.2718288,0.27237502,0.26300082,0.25319883,0.25110355,0.25744078,0.26908132,0.28135237,0.29204407,0.29975176,0.3052915,0.31040785,0.3169981,0.32428205,0.32839593,0.32667658,0.3212031,0.3184032,0.32196465,0.32875076,0.3314568,0.32532784,0.31082213,0.28985143,0.26296753,0.23051132,0.1966896,0.16914314,0.15570693,0.15923117,0.17700285,0.20117928,0.22370063,0.23885165,0.24627404,0.24862348,0.24945867,0.2505779,0.25253418,0.25577578,0.26130214,0.26963452,0.2787933,0.28370455,0.27790672,0.25735208,0.22325791,0.18222986,0.14301476,0.112712406,0.094590314,0.0891865,0.09566287,0.11193638,0.13318641,0.1526589,0.16639888,0.17664887,0.19120435,0.2156148,0.24930017,0.2849884,0.31498846,0.3342792,0.34252015,0.34230995,0.3378259,0.3328537,0.33002418,0.33055308,0.33421886,0.33929917,0.3427485,0.3416688,0.33422992,0.32027993,0.29995477,0.273881,0.24355729,0.21300311,0.1871417,0.16969638,0.16153295,0.16311441,0.17720164,0.20809297,0.25625718,0.3137497,0.36634755,0.40159893,0.41524926,0.41130748,0.39639816,0.37592825,0.35257158,0.32824966,0.3043677,0.28278038,0.26460275,0.25043747,0.23957072,0.23091088,0.22324377,0.21591027,0.2085944,0.20128715,0.19413732,0.18730128,0.18067491,0.17374496,0.16604823,0.1575857,0.14948235,0.14368373,0.14277862,0.14775382,0.1566969,0.16377275,0.16265821,0.14949337,0.12574436,0.09653893,0.068611756,0.046919312,0.03341093,0.026696721,0.02389682,0.022312818,0.020586416,0.018508418,0.016491039,0.015004833,0.014259607,0.014117237,0.01420344,0.014149721,0.013799015,0.013237621,0.0127173355,0.012500354,0.012806628,0.0137713095,0.015452099,0.017805032,0.020694489,0.0239107,0.027209649,0.030382955,0.033313215,0.03598897,0.03843984,0.04066666,0.042622324,0.044243705,0.04552926,0.04689127,0.049983773,0.058067277,0.07467856,0.09986955,0.12809826,0.14960259,0.15656467,0.14682575,0.12459659,0.09670264,0.07082125,0.0547529,0.057194933,0.08530345,0.13962659,0.20924175,0.27454805,0.3174125,0.33273134,0.3290454,0.32075202,0.31815252,0.32672712,0.35226676,0.4004457,0.4724861,0.5538098,0.6215188,0.65180516,0.63937116,0.5945583,0.5404722,0.49648365,0.473405,0.46935245,0.4753165,0.480608,0.4785925,0.46794644,0.45037487,0.4280497,0.40275303,0.37697482,0.3541489,0.33715823,0.3273947,0.3241527,0.32631353,0.33170056,0.33795115,0.34145904,0.33956066,0.33110192,0.3180835,0.30408433,0.2924691,0.284163,0.27812448,0.2729944,0.2690173,0.26736248,0.2689153,0.27290258,0.27800873,0.2828727,0.2860447,0.28466284,0.27528918,0.2573725,0.23672514,0.22511296,0.23305254,0.26152658,0.29878345,0.3281003,0.33937573,0.3352269,0.32536304,0.3156418,0.3021491,0.2759246,0.23389871,0.18613553,0.1521147,0.14711969,0.17035858,0.2041518,0.2286465,0.23661625,0.237751,0.24600582,0.26626933,0.29134452,0.30959332,0.31311902,0.29928172,0.27055624,0.23369016,0.19848926,0.17330313,0.16115518,0.15922993,0.1620209,0.165013,0.16817464,0.1760099,0.19439614,0.22347574,0.25771618,0.29182813,0.3322552,0.39198828,0.4797325,0.5824962,0.6729494,0.72089124,0.7150236,0.6636571,0.59143096,0.52186257,0.4694874,0.43531808,0.41451833,0.4016602,0.39410663,0.38991675,0.3863301,0.3798538,0.3665743,0.34384897,0.31224164,0.27831116,0.2532788,0.24535318,0.2527028,0.26127824,0.25527617,0.22649689,0.18137284,0.13515458,0.1046819,0.0993205,0.118543416,0.152929,0.18982549,0.21875782,0.23526745,0.24017443,0.23697448,0.2272894,0.21062665,0.18631102,0.15903305,0.13825442,0.13411911,0.15042537,0.18359004,0.22485809,0.26424766,0.29300532,0.30664995,0.3074036,0.30405733,0.3067679,0.32049796,0.34125328,0.3589016,0.36374494,0.35283363,0.33207715,0.31279537,0.3048823,0.3094815,0.31833044,0.31910053,0.3055973,0.28064844,0.25316712,0.22929044,0.21077792,0.1972061,0.19027705,0.19218569,0.20200293,0.21509714,0.22658433,0.23536253,0.24420302,0.25628272,0.2720474,0.28686088,0.29390237,0.2877469,0.26998514,0.24913009,0.23879258,0.25327674,0.30297926,0.38808656,0.49251422,0.5889342,0.6505694,0.66754943,0.6463302,0.6036622,0.5536637,0.5068464,0.4685638,0.44127738,0.4229432,0.40861845,0.39266852,0.37212,0.34872577,0.3275468,0.31445682,0.31159887,0.31771556,0.3277525,0.33625412,0.3375909,0.32879564,0.310503,0.28730735,0.26556346,0.24983315,0.24141611,0.23837622,0.2380835,0.23868336,0.23985215,0.24210227,0.24613683,0.25257996,0.2607678,0.26810718,0.269123,0.2580481,0.23164351,0.19386841,0.15572695,0.13180707,0.13076703,0.15051064,0.17858402,0.20198761,0.21354122,0.214918,0.21212713,0.21185447,0.21801877,0.23102331,0.2483973,0.26564252,0.2769896,0.27587545,0.2591932,0.23160423,0.2061804,0.19631015,0.20745446,0.23400891,0.26499525,0.2897004,0.3024212,0.3027713,0.29597864,0.2888771,0.28625548,0.2867826,0.28413737,0.2705891,0.24357243,0.20858335,0.1773306,0.15882088,0.15447403,0.15807813,0.16512881,0.17546427,0.19297838,0.21722503,0.24340396,0.26484415,0.27990416,0.29214934,0.3053331,0.31757474,0.32098994,0.3100905,0.28783917,0.2641825,0.24599542,0.23303354,0.22264123,0.21770133,0.22599696,0.25219706,0.2913425,0.3306739,0.3576459,0.36679414,0.36116305,0.34886107,0.33804393,0.33312854,0.33350968,0.3346199,0.33041108,0.3156716,0.28891167,0.25447276,0.22297873,0.20639856,0.21095812,0.23271859,0.26071158,0.2837969,0.29432622,0.28712898,0.2589674,0.21191777,0.1567639,0.10827851,0.077597134,0.06719727,0.07659214,0.106090106,0.15578073,0.21838598,0.27936998,0.32484522,0.35000035,0.35966173,0.3608493,0.35721722,0.34842107,0.334164,0.3161379,0.29689673,0.2769565,0.25404802,0.22525902,0.190081,0.15161933,0.11516576,0.08606934,0.06788772,0.06242756,0.06920812,0.08595049,0.10779605,0.12911922,0.14435072,0.15031318,0.14624524,0.13554634,0.12453977,0.120440595,0.12601306,0.13956392,0.15747558,0.1790076,0.20453824,0.23330343,0.26249024,0.29085967,0.32002187,0.3532879,0.3931254,0.44187856,0.498945,0.5589326,0.60691315,0.628007,0.6153798,0.5795803,0.5379379,0.50417084,0.48039317,0.46350065,0.452793,0.4509602,0.46020722,0.47703978,0.4951221,0.50841457,0.51567525,0.5187538,0.52125615,0.52527523,0.53126234,0.5362826,0.53573185,0.52501434,0.5042658,0.477412,0.44836274,0.41500792,0.37098932,0.31223795,0.24454093,0.18247043,0.1429746,0.1357434,0.1595942,0.20527561,0.2634413,0.3313916,0.40868375,0.4916257,0.5656212,0.6145343,0.6261506,0.60230255,0.55320543,0.49503842,0.4413905,0.40283892,0.38477758,0.38871396,0.40907383,0.43581772,0.45782986,0.4746411,0.49288473,0.5219578,0.55543274,0.5784511,0.57355136,0.5427864,0.5000245,0.46515867,0.44693378,0.44687533,0.46037677,0.4799634,0.4931852,0.48655546,0.45445943,0.40299603,0.34667465,0.29787555,0.2608195,0.23152088,0.20491306,0.182303,0.17194606,0.1821189,0.2126003,0.25377613,0.29252505,0.31806985,0.32398102,0.30886567,0.28005162,0.25738412,0.2667242,0.32488436,0.42247692,0.5288562,0.60955083,0.64937496,0.65294284,0.6354349,0.60915375,0.5807934,0.5540559,0.5313264,0.5160445,0.5098378,0.513147,0.5219724,0.5310499,0.53477955,0.53181654,0.5244643,0.5185628,0.5175094,0.5188201,0.5121153,0.48691627,0.44085765,0.38395622,0.33158353,0.2946436,0.27477232,0.26770887,0.26965913,0.2787263,0.2934426,0.3096224,0.32324874,0.33357307,0.34750763,0.37501666,0.4225428,0.4836842,0.54180115,0.57696074,0.57742983,0.5413168,0.47580412,0.3939933,0.31443956,0.25986916,0.24842328,0.28618753,0.35718024,0.4339005,0.48944005,0.51893497,0.53414196,0.551949,0.57458574,0.59195924,0.5907969,0.5663676,0.5235377,0.47552657,0.43776134,0.4224652,0.42817256,0.44153234,0.4430054,0.42295232,0.38469422,0.3420107,0.30662715,0.28350565,0.27123538,0.267867,0.27284375,0.28600988,0.30450335,0.3218609,0.32893977,0.3186183,0.28979325,0.24932595,0.20623972,0.16945978,0.14773162,0.15774436,0.21437947,0.31961027,0.44632092,0.5581483,0.6276935,0.6559852,0.6553614,0.63807577,0.60835403,0.5721522,0.53954333,0.5200106,0.51612395,0.5223866,0.5308297,0.53558177,0.53564596,0.53355736,0.532685,0.5348144,0.5386402,0.53985554,0.5312058,0.50649303,0.4653577,0.4170153,0.37535787,0.35050347,0.34254745,0.34366742,0.34464642,0.34051824,0.33219436,0.32415375,0.31894216,0.31583622,0.3132663,0.31836578,0.3419263,0.39074966,0.45179677,0.50306827,0.5236648,0.51084334,0.4719405,0.42031416,0.3673805,0.32589015,0.30824426,0.31997856,0.35365474,0.3888241,0.40987062,0.41949734,0.43906748,0.4849315,0.547703,0.59785604,0.6094985,0.5829875,0.53618056,0.48759842,0.44476807,0.41078356,0.39196214,0.39126214,0.40194032,0.40361157,0.3796217,0.32643428,0.25895917,0.19544448,0.14796524,0.11786804,0.10349476,0.10617098,0.12896006,0.17112571,0.22316723,0.27198005,0.30736864,0.32797357,0.33837745,0.34504434,0.35224155,0.3613011,0.3706552,0.37690735,0.37729582,0.37150645,0.36176765,0.3503077,0.33829197,0.32639802,0.31635353,0.31016934,0.30831733,0.30867255,0.30793488,0.30358812,0.2954444,0.28500152,0.27482882,0.26736158,0.26466084,0.26663396,0.26946238,0.26692545,0.25552073,0.24007188,0.23073745,0.23538812,0.2524685,0.27402762,0.29182673,0.30112606,0.2996144,0.2853557,0.25858495,0.2226377,0.18466271,0.15218307,0.13136259,0.12634355,0.13896112,0.16765697,0.20443976,0.23752165,0.25544426,0.25350836,0.23388487,0.20385735,0.17180514,0.1443008,0.1234682,0.10702058,0.09084884,0.07314927,0.05537085,0.04076183,0.03106316,0.025748948,0.022753872,0.02036166,0.017955959,0.01573634,0.013993,0.012719049,0.011994519,0.0125929,0.01617417,0.024545556,0.038232192,0.05561711,0.07338788,0.08822766,0.097983904,0.101619035,0.09862432,0.090563685,0.083417416,0.088130325,0.11369454,0.15997408,0.21449395,0.26211232,0.29378724,0.3110396,0.31867126,0.3197631,0.31559968,0.31166533,0.3209045,0.3564448,0.42002186,0.49319756,0.5481141,0.56556773,0.54901564,0.51678497,0.48564276,0.4608475,0.43977818,0.4210316,0.40590537,0.3960836,0.3904463,0.38727668,0.38610303,0.3876027,0.39201558,0.39818993,0.40554368,0.41452146,0.42628333,0.4380904,0.44325295,0.43360305,0.40837228,0.37506583,0.34472346,0.3209945,0.29829466,0.2680641,0.22872,0.18874423,0.16140568,0.156422,0.17582284,0.2159758,0.2740524,0.34711885,0.42844167,0.49969426,0.5407073,0.53997326,0.5065708,0.45933154,0.41545868,0.3817344,0.36039785,0.35515073,0.36788723,0.39318576,0.4147947,0.41991818,0.41032875,0.40682063,0.4298686,0.48158738,0.53950197,0.57540464,0.5748996,0.5450637,0.50109166,0.45579326,0.41573358,0.38888082,0.38223645,0.39693883,0.4219298,0.44125915,0.44385985,0.43071854,0.41157648,0.3974359,0.3938484,0.39905038,0.40717784,0.4126738,0.41309977,0.40824297,0.39799643,0.38084474,0.3538746,0.3151503,0.26645595,0.21802594,0.18743604,0.19750373,0.25970805,0.36708137,0.48653558,0.5831976,0.63422495,0.6443597,0.62861747,0.6024966,0.5731513,0.5450341,0.52235264,0.5075094,0.4998202,0.49541035,0.49079588,0.48453784,0.4781624,0.47430274,0.47487187,0.47964886,0.48739192,0.49557304,0.49964193,0.49265757,0.46964446,0.43227255,0.3883822,0.3459413,0.30779347,0.27302498,0.24090971,0.21319622,0.19262381,0.18192907,0.18301868,0.19840975,0.23031624,0.28248867,0.35233223,0.42944407,0.49022248,0.516208,0.5015607,0.46313718,0.42212808,0.39420292,0.38074175,0.37781397,0.38381454,0.3983903,0.41753304,0.4295057,0.4278656,0.42140284,0.43140304,0.47165087,0.5306187,0.58151054,0.60085887,0.58796805,0.5545483,0.5142173,0.47346997,0.4383069,0.41655722,0.4119444,0.41805592,0.4195198,0.40533105,0.37586823,0.3415526,0.31144807,0.28737214,0.26514056,0.2410888,0.21606517,0.19394569,0.17874043,0.17189042,0.17324908,0.18151768,0.19549589,0.21395274,0.23600312,0.26230946,0.29691866,0.34774294,0.41905013,0.5025868,0.5760887,0.6183605,0.6246107,0.6072727,0.58091354,0.5510791,0.516903,0.48100278,0.451045,0.43510377,0.43460235,0.44599143,0.46225366,0.47768632,0.48759544,0.49095163,0.48956075,0.4883286,0.4909841,0.4958309,0.4935017,0.47154513,0.42467126,0.360518,0.29636046,0.2463073,0.21352132,0.19146174,0.17349344,0.15852344,0.14931066,0.14665245,0.14779367,0.15262568,0.17055066,0.21863012,0.30544245,0.41614708,0.51337737,0.5610817,0.5461156,0.48300958,0.396782,0.31004372,0.23944284,0.20150171,0.20814614,0.25667587,0.3236961,0.3783017,0.40593472,0.42132464,0.45212093,0.51022124,0.57482123,0.61377865,0.6091759,0.5727032,0.5253165,0.4815935,0.4438808,0.41470063,0.4004313,0.40481803,0.42096746,0.43324867,0.42906058,0.4072835,0.37799093,0.35356918,0.34113428,0.3399885,0.34456405,0.3479667,0.34394494,0.3296037,0.30705178,0.2858946,0.27760705,0.2897869,0.31875765,0.3531578,0.38026968,0.39434457,0.39725485,0.39494815,0.3922163,0.39088583,0.39113557,0.3932496,0.39701065,0.40031013,0.3993536,0.3925182,0.38233757,0.3749533,0.37392178,0.37869087,0.38464507,0.38931784,0.39211753,0.39358208,0.39140034,0.38354614,0.37149644,0.36332765,0.36677894,0.38374352,0.40498102,0.41999316,0.4225075,0.41692343,0.40904608,0.40275082,0.3969446,0.39268288,0.39518967,0.40968207,0.4340411,0.45617652,0.46499088,0.4583862,0.44509497,0.43279538,0.42252156,0.41162395,0.40204775,0.4022977,0.41747618,0.4432206,0.46524665,0.47382054,0.4686153,0.45862654,0.44878623,0.4383808,0.4244274,0.41238287,0.41383222,0.43634844,0.47214296,0.5020082,0.510359,0.49604714,0.4685768,0.43501934,0.3966482,0.3557879,0.3260745,0.3263551,0.36564925,0.42942238,0.4888029,0.5204201,0.521898,0.5053472,0.4822364,0.4565774,0.43074778,0.41472915,0.42015,0.44967207,0.48736203,0.5119042,0.51103556,0.49123302,0.46472564,0.4380642,0.41043946,0.38476798,0.375412,0.39737496,0.4527582,0.5198013,0.570443,0.5860655,0.57242733,0.5457835,0.5215344,0.50339884,0.48930442,0.4759599,0.46175942,0.4466085,0.4316511,0.42065895,0.41706243,0.4215313,0.42972326,0.4363484,0.4393221,0.44165805,0.4470261,0.45437768,0.45743513,0.4508753,0.43708065,0.42497554,0.42264834,0.4303144,0.44186115,0.45009026,0.45215103,0.44920075,0.44462132,0.44100034,0.4403868,0.44554123,0.46141526,0.49038872,0.5279208,0.5606439,0.5769799,0.5740128,0.55972093,0.54238343,0.5253253,0.5079154,0.4922506,0.48459515,0.48900017,0.50163096,0.51336926,0.51913023,0.525024,0.5400836,0.5665126,0.59044355,0.594641,0.5692876,0.5233874,0.4742919,0.43651935,0.4133769,0.40224198,0.40290335,0.41583812,0.43813193,0.45905694,0.46960178,0.46708906,0.4567248,0.44303465,0.42697796,0.40750945,0.38663197,0.3709675,0.36703584,0.376332,0.39278683,0.40828526,0.41816902,0.42368308,0.4283814,0.4343691,0.44316033,0.4572746,0.4811388,0.51566327,0.5559607,0.59134775,0.61256176,0.61540717,0.6025102,0.5787745,0.55001897,0.52033246,0.49401513,0.47336626,0.46014234,0.45317924,0.45086658,0.45056716,0.45123625,0.45239136,0.4544005,0.4574499,0.46197522,0.46852604,0.47604582,0.48126757,0.4789197,0.46674943,0.44647333,0.42344806,0.39982852,0.37482977,0.34598184,0.3156273,0.2877729,0.2659363,0.24824333,0.2331575,0.2233532,0.23052084,0.26840237,0.34229395,0.43927744,0.5323022,0.5958534,0.6193239,0.60922664,0.57912713,0.5430536,0.511553,0.49362576,0.49277893,0.50636625,0.52420586,0.53708583,0.5421457,0.54723215,0.56117934,0.5860346,0.6107876,0.62191695,0.61148995,0.58430684,0.5497039,0.51679426,0.4892912,0.4700513,0.46003258,0.4584999,0.4599204,0.45854628,0.45188656,0.442544,0.4340682,0.42764226,0.42215666,0.41645038,0.41105607,0.4076244,0.40791452,0.41235587,0.41982126,0.42795148,0.43460974,0.4384968,0.43888643,0.43648437,0.43494764,0.44348752,0.47066388,0.5169612,0.56677556,0.5989055,0.59966725,0.5748214,0.5404794,0.5109419,0.48979735,0.47464705,0.46316156,0.45534253,0.45161292,0.45122457,0.45350087,0.45784596,0.46411848,0.47097504,0.4773216,0.4824861,0.48748466,0.49306837,0.49708626,0.4940823,0.4781684,0.45022142,0.41825116,0.39397645,0.38363436,0.3863554,0.39553675,0.40450814,0.40844202,0.40599808,0.3984513,0.39113033,0.3913004,0.40836516,0.44471177,0.4944845,0.5391107,0.56346714,0.561311,0.54338044,0.5216692,0.5034006,0.48667303,0.47072744,0.4600588,0.45994473,0.46974513,0.47989944,0.48309553,0.48122907,0.48632208,0.50652534,0.5360558,0.55835205,0.5601752,0.5439596,0.52197474,0.50485164,0.4924651,0.48014864,0.4663068,0.45379898,0.4440259,0.4326502,0.41540456,0.39322725,0.37381542,0.36300722,0.36096644,0.36249694,0.36390087,0.36529395,0.3693441,0.3770965,0.3868045,0.39536166,0.40090737,0.40347946,0.40433112,0.4048922,0.40807605,0.4191527,0.4457538,0.48967806,0.54210514,0.5827984,0.59635,0.5811293,0.54977924,0.5138098,0.47736892,0.44075075,0.40774378,0.38550827,0.37802684,0.38307503,0.39352784,0.40224853,0.40513217,0.40246657,0.39733538,0.39408073,0.39677238,0.40801075,0.42600358,0.44127643,0.43934843,0.40865323,0.3511983,0.28178063,0.21970582,0.17601848,0.1514742,0.14005065,0.13612756,0.1360281,0.13803047,0.14085977,0.14758857,0.16724636,0.2166183,0.30338648,0.41747212,0.52221566,0.58419853,0.58912724,0.55690336,0.51381147,0.47840953,0.45274785,0.43746504,0.43624052,0.44855502,0.46408108,0.4676987,0.4597634,0.4570864,0.48039594,0.52935654,0.5826359,0.6144747,0.6153672,0.5931476,0.56058484,0.52614367,0.49452198,0.4705296,0.45775333,0.45386252,0.4507892,0.44010565,0.42041183,0.39804652,0.38245717,0.3788917,0.3861736,0.39844966,0.40976617,0.41644573,0.41776633,0.4146935,0.40870246,0.40184012,0.39680755,0.39675465,0.40242854,0.41138017,0.4188473,0.42223573,0.4220524,0.42044678,0.41688475,0.40889415,0.39402857,0.37357247,0.34974337,0.32426,0.2953296,0.26252988,0.22915994,0.20557354,0.20194858,0.22068775,0.25032175,0.2725564,0.27545723,0.26174924,0.2441681,0.2314945,0.22247829,0.21128732,0.19857009,0.19342929,0.20408718,0.22966266,0.25885287,0.27897987,0.28233048,0.27042317,0.25180528,0.23769064,0.23455591,0.23859072,0.23781635,0.2214237,0.18949802,0.15356043,0.12844515,0.1237996,0.1416737,0.1781187,0.22449227,0.26799956,0.29638302,0.30350125,0.2924724,0.270977,0.24556725,0.21870251,0.1925441,0.17228465,0.1658829,0.17734025,0.20250328,0.22946703,0.24582128,0.24439263,0.22651978,0.20082456,0.18001021,0.17599325,0.19378929,0.22874849,0.26760504,0.29735655,0.3110685,0.31099832,0.30102077,0.2832711,0.25617322,0.22089912,0.18342735,0.15427059,0.14351368,0.15508933,0.18426721,0.21750031,0.24024983,0.24283968,0.22625937,0.19927625,0.17549364,0.16646956,0.17779268,0.20567252,0.24062063,0.2719154,0.29315236,0.30195805,0.29992327,0.29057682,0.27906266,0.269884,0.26452026,0.26023737,0.25177708,0.23690802,0.21984167,0.20981146,0.21331225,0.22862647,0.24759038,0.2620605,0.26847252,0.26505142,0.24991207,0.22184294,0.18644823,0.1559029,0.14335586,0.15303779,0.17868626,0.20806171,0.23182546,0.2462283,0.2520895,0.2512733,0.24530871,0.2366205,0.2287146,0.22657903,0.23278819,0.24535744,0.25607666,0.2545464,0.23398454,0.19598381,0.15042445,0.11050254,0.08705607,0.0854219,0.105460286,0.1423995,0.18726476,0.22887409,0.25853148,0.27338442,0.27570143,0.26774773,0.25005963,0.22273357,0.18986851,0.15946628,0.14234787,0.14569008,0.16997486,0.20566268,0.2403305,0.26434323,0.27689767,0.28101563,0.27937338,0.27150917,0.2586335,0.24583876,0.24033725,0.24452405,0.2547597,0.26382494,0.26666358,0.2596592,0.24066442,0.209296,0.171633,0.13983624,0.12692548,0.1376826,0.16514386,0.19489075,0.21485867,0.22164197,0.22028029,0.21839929,0.22139442,0.22994012,0.24109013,0.25049415,0.25509715,0.25486767,0.25246498,0.2522541,0.25734642,0.26828453,0.281664,0.29296947,0.29841602,0.2979209,0.29379869,0.29004237,0.28917757,0.29156113,0.29398918,0.2912831,0.27862707,0.2560305,0.22971962,0.2098611,0.20351298,0.21086411,0.22526026,0.23934829,0.24784224,0.2481633,0.2373172,0.21345705,0.17944907,0.14631642,0.12878023,0.13634665,0.16606088,0.20469101,0.23793752,0.25838363,0.2668375,0.2673582,0.26362062,0.25796857,0.25342262,0.25334188,0.25930917,0.26883772,0.2763714,0.27730498,0.2708747,0.26023903,0.24951403,0.24201755,0.23904169,0.23984247,0.24176277,0.24173121,0.23820521,0.23115198,0.22145152,0.20906514,0.19434977,0.17817627,0.16501708,0.16119598,0.17350088,0.20155112,0.23751406,0.26794901,0.28362775,0.2823733,0.26957867,0.25251794,0.2370957,0.22498824,0.21499783,0.20623706,0.20084037,0.20215559,0.21035178,0.2206999,0.22615182,0.22115934,0.20411003,0.17836589,0.15274714,0.13740562,0.13783954,0.15012495,0.16473901,0.1732459,0.17325573,0.16670704,0.1563205,0.1440625,0.13227443,0.12564002,0.129391,0.14706577,0.17679036,0.21301274,0.24793673,0.27564725,0.29237664,0.29760936,0.29305723,0.28232607,0.26954418,0.25836363,0.2514561,0.25014573,0.25433192,0.26201096,0.27039668,0.27665362,0.2795272,0.2785629,0.27468434,0.26943907,0.26548126,0.26460862,0.26686415,0.27021006,0.2727541,0.27371165,0.27282855,0.26787058,0.25418702,0.22789925,0.19095667,0.1543109,0.13264231,0.13577779,0.16059268,0.1944884,0.22371845,0.2425346,0.25282454,0.25937566,0.26395667,0.26536122,0.26186433,0.25432345,0.24527948,0.23761971,0.23240001,0.2286629,0.22238189,0.20932235,0.18898968,0.16900869,0.16104066,0.17235951,0.1990528,0.22897045,0.2509844,0.2613431,0.2636548,0.26315928,0.26331532,0.26458755,0.26678345,0.2701415,0.27572158,0.2836763,0.29193592,0.29593512,0.2899975,0.26977196,0.23532338,0.19333021,0.15639108,0.13655455,0.13805364,0.1536475,0.1708626,0.18064885,0.18330596,0.18520196,0.19317509,0.20934494,0.23157813,0.2548735,0.27475014,0.2881435,0.29410866,0.29238394,0.28287455,0.26572764,0.24260211,0.2167084,0.19215053,0.17186455,0.15870368,0.1550272,0.16342342,0.18191773,0.20453532,0.2222048,0.23037666,0.22975671,0.2259536,0.22309215,0.22276616,0.22423726,0.22848208,0.23722911,0.24991226,0.25986254,0.2586724,0.24335843,0.22072701,0.20051919,0.18670724,0.17567605,0.16408016,0.15557587,0.1579568,0.17489196,0.20179439,0.2293963,0.25037706,0.26193115,0.2653741,0.26349875,0.25901425,0.25295094,0.24394567,0.22921519,0.20669782,0.17778198,0.14773197,0.12455669,0.11620385,0.12842381,0.16108227,0.2069164,0.2515188,0.28108016,0.28770193,0.27398857,0.24759687,0.21716434,0.18714346,0.15901516,0.13268922,0.109363236,0.092510305,0.087247856,0.098795734,0.1287147,0.17347361,0.22317266,0.2665112,0.29417756,0.30380335,0.29851875,0.28542492,0.27143654,0.26122096,0.2561315,0.2542582,0.25256452,0.24813376,0.24100089,0.23250246,0.22431998,0.21451896,0.20016539,0.17990035,0.15886804,0.14596488,0.14875203,0.16673954,0.19094437,0.20850529,0.21021855,0.19484912,0.16889445,0.142051,0.122793846,0.11463056,0.115486115,0.118979044,0.118376195,0.11010092,0.0952849,0.0782021,0.06318257,0.052416425,0.045560863,0.041205868,0.038112488,0.035765905,0.033898447,0.032233037,0.03052503,0.028820142,0.027378274,0.0264057,0.025819575,0.025334442,0.02465067,0.02367323,0.02248361,0.021257149,0.020070292,0.018911777,0.017715802,0.01648338,0.015240405,0.014024672,0.012859896,0.011792495,0.010869739,0.010095294,0.009412527,0.008747634,0.008068516,0.007404005,0.006970607,0.007748446,0.011966925,0.02282331,0.041889522,0.06680151,0.09039559,0.1046527,0.10479975,0.092479765,0.07374997,0.055745017,0.042825583,0.035723735,0.032505523,0.030760972,0.028927723,0.026571728,0.023841804,0.021054657,0.018829914,0.018530667,0.022674972,0.033873174,0.054561317,0.08640649,0.13205075,0.19186759,0.26153246,0.3281252,0.37637722,0.39409125,0.3783616,0.3336546,0.27076632,0.20382209,0.14657043,0.107230246,0.085930325,0.07792265,0.078142315,0.08404132,0.09413659,0.10602195,0.11588091,0.12110112,0.12410287,0.1330172,0.15687293,0.19739383,0.24635978,0.291244,0.3243424,0.34521684,0.3556277,0.35495743,0.34198043,0.32004857,0.29692566,0.2792932,0.26775512,0.25832003,0.24659313,0.23009066,0.20717204,0.17762415,0.14419743,0.11410717,0.09590807,0.09673076,0.11885661,0.15912862,0.20782244,0.25193468,0.28021392,0.28820556,0.27825382,0.25633994,0.22896342,0.20175612,0.17842603,0.16103171,0.15045398,0.1492029,0.15947759,0.18156298,0.20994443,0.2376342,0.25936738,0.2754697,0.28775653,0.29742983,0.30340084,0.30489177,0.30182624,0.29499128,0.28500378,0.27223322,0.25663352,0.23832901,0.21825129,0.19938208,0.18628323,0.18530178,0.2000394,0.22836407,0.25725475,0.2695469,0.25288874,0.21163283,0.16449375,0.13379659,0.13168065,0.15519488,0.1920347,0.22877257,0.25697318,0.27301136,0.27783188,0.27437785,0.26665762,0.25630903,0.24448496,0.23311312,0.22712214,0.23063771,0.24298422,0.2580613,0.26725516,0.26579443,0.25361994,0.2360247,0.21827024,0.20554341,0.2014051,0.20959808,0.23019613,0.25701305,0.27757546,0.2791187,0.25635085,0.21426041,0.16674311,0.1292194,0.1137773,0.12328305,0.15185088,0.18588905,0.2122991,0.22469698,0.22769701,0.23141658,0.24346061,0.26277137,0.28242174,0.29632163,0.30409297,0.30849552,0.3101646,0.30515888,0.2880994,0.2571533,0.21577108,0.17130733,0.13099165,0.09954674,0.07776687,0.06368365,0.054368425,0.047601957,0.04271832,0.039559197,0.038150907,0.03795618,0.03937805,0.043831233,0.054049026,0.07140825,0.09428924,0.11682933,0.13184465,0.13426013,0.12420693,0.106143884,0.08613542,0.0697613,0.062131032,0.06943389,0.09618282,0.14178215,0.1962915,0.24595924,0.27940106,0.29523894,0.29850432,0.29561839,0.2881854,0.27626315,0.26414773,0.26258206,0.28139672,0.31948802,0.36423182,0.40079427,0.42223215,0.43092248,0.4330244,0.433959,0.43608332,0.43933836,0.4415257,0.4404997,0.43575513,0.42896464,0.42245975,0.41733387,0.41248944,0.40571377,0.39548215,0.3825804,0.36947915,0.35853747,0.35014197,0.3427271,0.33437428,0.324276,0.31199864,0.295671,0.27199504,0.23997097,0.20532905,0.17982139,0.17521918,0.19445549,0.2286634,0.25992975,0.27070057,0.25245458,0.21012746,0.15923648,0.117203265,0.09651548,0.10098559,0.1282577,0.17158549,0.22214822,0.27007648,0.30686247,0.32819033,0.33446363,0.3296183,0.31806195,0.30387127,0.2903587,0.27989507,0.272894,0.26817283,0.26463887,0.26237178,0.2619773,0.26322976,0.26544502,0.26847652,0.27336597,0.28067863,0.28937197,0.29656938,0.29969049,0.2977573,0.29186216,0.28392148,0.27619278,0.27077636,0.26968363,0.27395132,0.2829522,0.29330266,0.2994113,0.29548082,0.28093335,0.26235536,0.25171575,0.25614133,0.2734804,0.29284748,0.30498347,0.3060975,0.2972183,0.27843833,0.24928184,0.21252006,0.17715573,0.15523289,0.15438814,0.17352462,0.20411532,0.2369072,0.26563534,0.28726968,0.29925847,0.30009666,0.29093263,0.27613565,0.26040474,0.24650955,0.23540924,0.22890787,0.22959815,0.23887877,0.2529026,0.26445344,0.2667663,0.25980866,0.24871732,0.24050426,0.23837955,0.242204,0.24982052,0.25956872,0.27013826,0.27987203,0.28681496,0.2893242,0.28763068,0.28317335,0.2779324,0.2729623,0.2693335,0.26861253,0.2728132,0.28215182,0.29396328,0.30369702,0.3081831,0.3076215,0.30484933,0.30278745,0.30251357,0.30380073,0.30646774,0.31111073,0.3177118,0.32434824,0.32785907,0.32647994,0.32151294,0.31611305,0.31258884,0.31123963,0.31149265,0.31339118,0.31758568,0.32388034,0.33078358,0.3365543,0.34098288,0.34545878,0.35080823,0.35564196,0.35624245,0.35044476,0.3394548,0.328055,0.3191701,0.31227246,0.30453393,0.29642496,0.29160357,0.29335403,0.3016739,0.31610152,0.3414584,0.38364068,0.44271556,0.50307226,0.54523677,0.55658484,0.54489595,0.5252545,0.51023173,0.49971655,0.49019572,0.47947904,0.46960878,0.46153954,0.45498297,0.44929448,0.4458042,0.4461322,0.45052913,0.4572339,0.46388674,0.46892372,0.4712939,0.46951744,0.46165982,0.44740167,0.4300067,0.41508493,0.40737247,0.40734974,0.4125011,0.41902173,0.42440942,0.4270606,0.42647672,0.42292127,0.41871405,0.41909966,0.43271878,0.4643781,0.5100535,0.55358297,0.58022887,0.5843708,0.57289386,0.5536792,0.5313859,0.5091985,0.49293268,0.48892093,0.49647447,0.5068625,0.5075584,0.49384925,0.47372523,0.46417955,0.47557482,0.49964797,0.51617736,0.5116478,0.49357465,0.4787188,0.4760337,0.4792634,0.48007438,0.47753373,0.4766182,0.4784586,0.47972623,0.4770852,0.47192788,0.466606,0.46117726,0.45189592,0.4349711,0.4100764,0.38271582,0.3620986,0.35480896,0.35975942,0.36865887,0.3740439,0.3746049,0.37538302,0.38105705,0.39355755,0.41255894,0.4403919,0.47967267,0.53053445,0.58533764,0.633392,0.6650304,0.6768954,0.669636,0.6467352,0.6133466,0.57727295,0.5468805,0.52814275,0.5218982,0.52545995,0.5347181,0.54624265,0.55685514,0.5640877,0.5669871,0.566421,0.5634716,0.5562915,0.5404497,0.511632,0.47121122,0.42593613,0.38516554,0.35383928,0.33059788,0.3080493,0.28053713,0.24982983,0.22823216,0.22859035,0.25502738,0.29842436,0.3477229,0.39897534,0.45583475,0.51871306,0.5780707,0.62035364,0.63760185,0.6339597,0.61870235,0.60140747,0.5860684,0.57545036,0.56883353,0.56439567,0.55549246,0.53910595,0.51860243,0.50931054,0.52402717,0.56554276,0.61773235,0.6619095,0.68352574,0.6813957,0.6579967,0.61970353,0.5741589,0.5322779,0.5030163,0.48852575,0.4841551,0.48245016,0.4788804,0.4716514,0.46159256,0.45055017,0.4424738,0.44064555,0.44527707,0.45259705,0.45822072,0.4608202,0.4621936,0.4645141,0.4679973,0.47073197,0.47095552,0.46841502,0.46661505,0.47309625,0.49533167,0.5339803,0.57580227,0.6034183,0.6058617,0.5914345,0.57425064,0.5646624,0.5585447,0.54901046,0.53188705,0.5100365,0.487623,0.46836874,0.45460382,0.44771704,0.44750154,0.4528803,0.46206534,0.47389123,0.486105,0.4969252,0.5029153,0.50199455,0.49262115,0.47840318,0.4644413,0.45468235,0.4455271,0.4301504,0.40472233,0.37474218,0.3505058,0.33925104,0.3394762,0.34506813,0.35362163,0.37235165,0.41071883,0.469606,0.5321419,0.57755136,0.5940723,0.5901528,0.5783133,0.5658273,0.5503531,0.53238326,0.51900893,0.5165894,0.52314645,0.52645963,0.5192531,0.50519115,0.5004999,0.5162789,0.54970986,0.58436316,0.6050566,0.6089187,0.6016917,0.58952934,0.5719364,0.5485876,0.5230109,0.5026558,0.4913514,0.48653805,0.4825276,0.47655192,0.47076556,0.46941808,0.47464064,0.48493436,0.49642467,0.5046734,0.5063596,0.49996004,0.48699465,0.47154745,0.45847738,0.45132628,0.45157063,0.45947424,0.47506413,0.49806252,0.5295641,0.5678311,0.6080201,0.6372714,0.64646894,0.63373643,0.61083007,0.5889859,0.57400537,0.5626986,0.5521129,0.54217577,0.535301,0.5321328,0.5311493,0.53021663,0.5293336,0.5303964,0.5357747,0.54563665,0.5583183,0.5707381,0.57958126,0.58021027,0.56900114,0.54488736,0.5122939,0.47752067,0.44712272,0.42405006,0.40946046,0.40149036,0.39770237,0.3952786,0.3937839,0.39414957,0.3996844,0.41472962,0.4463962,0.4959412,0.55583405,0.6053092,0.6285961,0.62260866,0.60165644,0.57896686,0.55955654,0.5420727,0.5284012,0.5241876,0.5279611,0.5285999,0.51376754,0.48668793,0.46825704,0.47971654,0.5232928,0.5769132,0.61541206,0.6274026,0.62101144,0.60714453,0.5912884,0.5726917,0.55314344,0.5362113,0.52315146,0.5099586,0.49191168,0.46903005,0.4471245,0.4340465,0.434312,0.4466242,0.46470472,0.4811951,0.4910214,0.49279055,0.4880577,0.47997698,0.47237357,0.46859992,0.47035602,0.4767196,0.4845877,0.49173796,0.4998494,0.5151678,0.5421961,0.577786,0.60973436,0.6262167,0.62350535,0.6078668,0.5875058,0.5672636,0.5482369,0.53165984,0.519885,0.5142236,0.51339597,0.51459414,0.5160086,0.5176737,0.52019763,0.5231094,0.5245939,0.5230933,0.5187237,0.51247,0.5036693,0.4893593,0.4673383,0.44053397,0.41636774,0.4018753,0.39751384,0.39798224,0.39698508,0.3930711,0.38962403,0.3911414,0.39987302,0.4161841,0.44121075,0.4771808,0.5218052,0.5649354,0.59090215,0.5924383,0.576551,0.5599479,0.5534528,0.55637544,0.5624473,0.56778604,0.5720594,0.5729907,0.56647134,0.55115074,0.5338444,0.52774805,0.54164225,0.5720191,0.60184956,0.6155472,0.6088703,0.59142447,0.5742536,0.56158286,0.55170566,0.5426641,0.5360581,0.5318834,0.52635604,0.5125012,0.48729894,0.45551765,0.4278818,0.4144175,0.4176674,0.43213654,0.44814456,0.4589436,0.46332487,0.46458533,0.4656714,0.46767846,0.47014058,0.47337294,0.47766504,0.48365402,0.49239686,0.50844985,0.53642446,0.577563,0.6230292,0.66010267,0.6773222,0.67283297,0.64957017,0.61314315,0.5688882,0.5245134,0.4888276,0.4681001,0.46304002,0.46948925,0.48178542,0.49554035,0.5081169,0.51842946,0.52588695,0.5302796,0.53086025,0.5256699,0.51040286,0.48030922,0.43376967,0.3767289,0.32087168,0.27881905,0.25728276,0.2558287,0.26773417,0.2838999,0.2967802,0.3034153,0.30621305,0.3108159,0.32516503,0.35912082,0.4188875,0.50128585,0.58696944,0.6532139,0.6836868,0.6812671,0.6571029,0.6243003,0.59005266,0.5602053,0.5405254,0.5335359,0.5369988,0.54356104,0.54958725,0.5566891,0.5718556,0.59889036,0.63434905,0.6682284,0.68933195,0.69203216,0.67553884,0.643481,0.59940326,0.5497393,0.50269514,0.4676098,0.44801053,0.43982908,0.4345462,0.42679313,0.4171193,0.40935585,0.40553996,0.40528128,0.4074354,0.41278386,0.4233301,0.4397808,0.45994642,0.47853652,0.49107525,0.4952264,0.49269167,0.4865807,0.4819514,0.48473808,0.5019839,0.5354984,0.57825726,0.6140073,0.6300541,0.62447685,0.60747796,0.5879472,0.5686293,0.5466137,0.52282923,0.5024085,0.4921335,0.49389187,0.504812,0.5184689,0.52908796,0.5333856,0.5311146,0.52426344,0.51465565,0.5041607,0.4923929,0.4777548,0.4563811,0.42649782,0.39022133,0.35520855,0.33048394,0.32136145,0.32565752,0.33486307,0.340556,0.3392757,0.33366227,0.32777536,0.32671747,0.33760795,0.37172297,0.43335876,0.51276654,0.5836442,0.6249948,0.6321108,0.6201245,0.60322875,0.5869171,0.5685037,0.549033,0.5350259,0.53037024,0.5296356,0.5214307,0.5028191,0.48647335,0.49066016,0.52195287,0.5651136,0.5984847,0.60845286,0.60038596,0.58475965,0.5696538,0.5544791,0.5380013,0.5206537,0.50465894,0.49114195,0.47912297,0.4682801,0.45873618,0.45317483,0.4533687,0.46102843,0.47369525,0.48827755,0.5006164,0.50929624,0.5128133,0.51001495,0.49996284,0.48399818,0.4663495,0.4515319,0.44313577,0.44287458,0.45303366,0.47640476,0.5122084,0.55261403,0.58296114,0.5928728,0.58268315,0.5637413,0.5465181,0.53405136,0.5227868,0.5095054,0.4948267,0.48137006,0.47138587,0.46591842,0.46546504,0.46993542,0.47799075,0.48721564,0.49535394,0.5009692,0.5038564,0.5027548,0.4961407,0.48187843,0.46124724,0.43773255,0.41596445,0.39617887,0.37382463,0.3427522,0.3029039,0.26404986,0.24173497,0.24583285,0.2736547,0.3135524,0.3584722,0.4108026,0.4744633,0.5414434,0.5927091,0.6141901,0.608648,0.5916442,0.5751044,0.561461,0.5486913,0.53855544,0.53380316,0.5319092,0.5246016,0.50845677,0.4924396,0.49541345,0.5276428,0.5811729,0.6299673,0.652262,0.64114195,0.60846967,0.5684164,0.5310877,0.4992572,0.47506344,0.45922104,0.45004925,0.4426326,0.43326548,0.42254546,0.4138845,0.41005003,0.4105697,0.41341427,0.4163704,0.4188697,0.42172766,0.42699,0.43606928,0.44861385,0.4621463,0.4738898,0.48222455,0.48712412,0.48932374,0.488879,0.48419037,0.47113955,0.4457729,0.40719223,0.36116794,0.31693327,0.28358832,0.26473406,0.2589836,0.26125297,0.26609656,0.2698925,0.27140045,0.27138007,0.27052426,0.26887006,0.26518646,0.25746927,0.2440735,0.2249655,0.20359923,0.18621789,0.18088679,0.19355096,0.2250349,0.26891792,0.3136131,0.34695306,0.3590189,0.34468874,0.3047564,0.24940078,0.1951408,0.15748459,0.14246365,0.14693688,0.16514118,0.19289696,0.22578223,0.25699413,0.280094,0.2943567,0.30363703,0.31147143,0.31629932,0.31448516,0.30472937,0.29132926,0.28067932,0.27685675,0.2775148,0.27720872,0.27223566,0.2651877,0.26175448,0.26593903,0.27667344,0.2890201,0.29621187,0.29217175,0.27479073,0.24999271,0.22970681,0.2253924,0.23932087,0.2651948,0.2935079,0.3188618,0.3401425,0.35773337,0.37045085,0.37668967,0.37573257,0.36803666,0.35191002,0.3256863,0.29110697,0.2597052,0.24549276,0.25677952,0.28645924,0.31920394,0.3393031,0.33975318,0.32194576,0.29430714,0.26881152,0.25519887,0.2567531,0.26796567,0.27972436,0.28368044,0.2770579,0.2622747,0.24623083,0.235853,0.23496199,0.2414072,0.24984199,0.25499687,0.25562736,0.25388715,0.2539811,0.25875998,0.26833236,0.27956223,0.28879997,0.29429308,0.2969011,0.29806808,0.2976827,0.29434404,0.28680292,0.27553686,0.26268598,0.2513773,0.2446701,0.24393891,0.24846049,0.25600636,0.2648478,0.27446368,0.2843934,0.2932172,0.29727817,0.29211262,0.27408937,0.24462809,0.21060877,0.18171078,0.16466697,0.16264635,0.17626311,0.20467599,0.24106358,0.2733157,0.28964034,0.28837457,0.27759495,0.267328,0.26119545,0.25810906,0.2579774,0.26361975,0.27589068,0.29073703,0.30189908,0.3060601,0.30383015,0.29715702,0.2876866,0.277863,0.2720478,0.2750471,0.2882109,0.30721378,0.32354966,0.329945,0.32494715,0.3128074,0.29963243,0.28886822,0.28158343,0.27766752,0.2779949,0.28226337,0.28884065,0.29438064,0.29737854,0.29839197,0.2998952,0.30310988,0.30811813,0.31414232,0.3211743,0.3287684,0.3355297,0.338618,0.33618453,0.3287694,0.32005504,0.31447014,0.31466827,0.3198175,0.32619616,0.32972035,0.3280022,0.32216683,0.31533685,0.3110906,0.3100355,0.31041685,0.3087186,0.30289903,0.292442,0.27924898,0.26674035,0.25975278,0.2619938,0.27329198,0.28828374,0.29914355,0.3008794,0.29408002,0.28318265,0.2715153,0.25932577,0.2457084,0.23193865,0.22155966,0.21707378,0.21680944,0.2147062,0.20377798,0.18048353,0.14779148,0.1137951,0.088409506,0.079155944,0.09105399,0.124417506,0.17423777,0.2274506,0.2689723,0.2881663,0.2857708,0.27076206,0.25417915,0.24263012,0.23748039,0.23749058,0.24161607,0.24882013,0.2559649,0.25692964,0.24623717,0.22315353,0.19376172,0.16740036,0.15307772,0.15570857,0.17495109,0.20365244,0.22970521,0.24028109,0.22799736,0.19445801,0.14921062,0.10550568,0.07408806,0.06001912,0.06179638,0.07534206,0.09726138,0.12697454,0.1638857,0.20470327,0.24254636,0.2710457,0.2873932,0.2933412,0.29136416,0.28340247,0.27003366,0.25319538,0.23499109,0.21751352,0.20106967,0.18598992,0.1732158,0.164285,0.15966569,0.15757932,0.15480159,0.14766742,0.13422069,0.114947595,0.093425035,0.07436804,0.061530557,0.056387678,0.059215557,0.070917755,0.091862656,0.11955699,0.14603557,0.16134925,0.15821724,0.1373175,0.10607249,0.07487247,0.05121265,0.037414405,0.031253763,0.029063553,0.027997606,0.026803853,0.02533248,0.023879418,0.022708302,0.021785691,0.020889571,0.019825978,0.018641701,0.017497532,0.016535938,0.015754906,0.015061311,0.01435236,0.013630579,0.013037622,0.012712649,0.012643874,0.012608976,0.012377568,0.011859306,0.0111647295,0.010480805,0.010010712,0.009931673,0.010402762,0.011546222,0.01346133,0.01682841,0.023562739,0.037422504,0.06162836,0.095899604,0.13320829,0.1626121,0.17401694,0.16477045,0.14014058,0.110784344,0.08627721,0.071524754,0.06563938,0.06482311,0.06506452,0.06385008,0.06008249,0.053677175,0.04575199,0.038533766,0.03585011,0.042210087,0.063411646,0.10379753,0.1637597,0.23477323,0.30211753,0.35143805,0.37791133,0.38661507,0.38693038,0.38518608,0.3830574,0.37987432,0.37584925,0.37291566,0.37407055,0.3817438,0.39610747,0.4139187,0.4285673,0.43219057,0.418586,0.38671228,0.34291628,0.3003523,0.27324352,0.26861885,0.28156725,0.2999162,0.31305087,0.3184519,0.31912717,0.31936044,0.32118663,0.32536054,0.33147702,0.33797738,0.34169665,0.33929488,0.3291433,0.3132981,0.2964369,0.28353658,0.275866,0.27133587,0.26708448,0.26394948,0.26606166,0.27679446,0.29409862,0.30967426,0.31316188,0.29753414,0.26324755,0.218406,0.17553054,0.14745043,0.1417924,0.15837865,0.18772501,0.21730916,0.23762105,0.24733917,0.24991114,0.2496699,0.24945438,0.25196633,0.26014337,0.27482522,0.29318568,0.30896035,0.31628895,0.31227365,0.29838312,0.27869168,0.25711498,0.23544975,0.2138144,0.1940717,0.18185222,0.18381648,0.2012638,0.22535218,0.24239999,0.24389584,0.2339728,0.22451873,0.22494061,0.23677666,0.2564073,0.28005317,0.3037987,0.32200912,0.3288484,0.32222685,0.3062044,0.28803492,0.27391112,0.26533258,0.25916258,0.25060138,0.23824517,0.22689374,0.22472888,0.23620327,0.2571857,0.27743074,0.28782085,0.28617916,0.27720666,0.26882875,0.2680123,0.27804518,0.29725716,0.31951407,0.33744657,0.34586582,0.34318045,0.32890522,0.3018817,0.2619149,0.21438782,0.17166512,0.14746897,0.14844608,0.16938841,0.19793808,0.22288994,0.24086928,0.25512066,0.27056405,0.288771,0.30722696,0.32201996,0.33073652,0.33398643,0.33370712,0.3322211,0.33073023,0.32957184,0.32647845,0.31655574,0.29392663,0.25653613,0.20907809,0.1612036,0.12222933,0.09688871,0.08575484,0.0868245,0.096916944,0.11079063,0.1232151,0.13172019,0.13956775,0.15339185,0.17790371,0.21065857,0.24186622,0.25937468,0.25570813,0.23251629,0.20061481,0.17488182,0.1671707,0.18019295,0.20633489,0.23212178,0.24511701,0.24057043,0.22372748,0.20609449,0.19758855,0.19893928,0.20391096,0.20574705,0.2043789,0.20329177,0.20478596,0.20633607,0.20388621,0.19455814,0.17811346,0.15587088,0.13123475,0.10950852,0.09648926,0.094464086,0.09997663,0.10525882,0.103712946,0.09426468,0.08176508,0.07275507,0.071424685,0.07839397,0.09266091,0.11348516,0.13945368,0.16692638,0.18909435,0.1994921,0.19454928,0.17582107,0.14778592,0.11673853,0.08890835,0.07058895,0.06719011,0.08190175,0.11336998,0.15458828,0.1954372,0.22734146,0.24724464,0.25720462,0.2617133,0.26464558,0.2682396,0.27294236,0.2786686,0.2850536,0.29190922,0.29745084,0.29926875,0.295051,0.28575134,0.27450183,0.26530635,0.25968993,0.25624818,0.25078008,0.23803757,0.2147337,0.18260513,0.150089,0.12879924,0.12746155,0.14619173,0.17608346,0.20478792,0.22363682,0.2322103,0.2349494,0.23585989,0.234344,0.22821724,0.21674682,0.20152025,0.18349554,0.16343306,0.14560115,0.14038308,0.15711415,0.19406867,0.2331119,0.25233778,0.24169664,0.213333,0.18976574,0.18658166,0.20042717,0.21669383,0.22413464,0.22318716,0.22097135,0.22191583,0.22440952,0.22398295,0.21778965,0.20596711,0.1912334,0.17684388,0.16498058,0.1555022,0.14851733,0.14646609,0.15343988,0.17017265,0.19065976,0.20562418,0.2089656,0.20286198,0.19472943,0.19178976,0.19546938,0.20170592,0.20448573,0.20067044,0.19134386,0.17977673,0.16848226,0.15844083,0.14997865,0.14305057,0.13631688,0.12689656,0.11195374,0.09109659,0.06705479,0.04430494,0.026487209,0.014936629,0.008660301,0.005687254,0.004256276,0.0034091703,0.0027859418,0.0023002226,0.0019017054,0.0015565511,0.0012451949,0.0009767413,0.00083436404,0.0032937098,0.015340604,0.049270865,0.11191975,0.19457607,0.2683032,0.30317795,0.28703567,0.23472883,0.1724298,0.1214929,0.09193777,0.08903996,0.11827894,0.17934299,0.25733146,0.32282183,0.34882784,0.32824466,0.27713916,0.2210117,0.18009843,0.16444348,0.17498304,0.20574816,0.24503379,0.2813677,0.30775163,0.3240472,0.3329521,0.33817664,0.34175768,0.34581587,0.35365236,0.373263,0.4132545,0.47478476,0.5443372,0.599953,0.62680537,0.6261241,0.6109379,0.5922496,0.5743325,0.55674267,0.5405176,0.52802545,0.52101564,0.51873046,0.5186214,0.518292,0.5169135,0.5151581,0.5135667,0.5115209,0.5083456,0.50439066,0.50026894,0.49437022,0.4838464,0.46785238,0.45051542,0.4375988,0.43256688,0.43431517,0.44035316,0.44897127,0.45963433,0.47134316,0.48159364,0.48835889,0.49322858,0.50410676,0.5296723,0.5696736,0.6094289,0.6295261,0.62206167,0.5964164,0.56908745,0.5489307,0.53593,0.5278154,0.5266323,0.532548,0.53975075,0.5365524,0.5189602,0.49646917,0.489584,0.51046336,0.5528665,0.5942578,0.615935,0.61383104,0.5974259,0.5761401,0.55453473,0.5340212,0.5176277,0.50820535,0.50608647,0.50902253,0.5147156,0.52105093,0.52532345,0.5247457,0.51882726,0.5099576,0.5010021,0.49304426,0.48580694,0.47955883,0.4755063,0.47384658,0.47344732,0.47240496,0.470053,0.4658246,0.4612083,0.46074045,0.47500086,0.5114065,0.5685587,0.6297758,0.6777505,0.70112085,0.70253444,0.6876771,0.66317225,0.6329323,0.6020889,0.5758347,0.55753356,0.5476441,0.54381365,0.5437328,0.5456636,0.54951006,0.5548845,0.5609967,0.56623906,0.56940514,0.56889755,0.56162816,0.54337096,0.51100135,0.46453556,0.40748575,0.34700677,0.2946879,0.26213935,0.25475428,0.26603624,0.28392923,0.29897872,0.3100591,0.32190692,0.34166884,0.3788519,0.43815494,0.51565593,0.5919418,0.64780426,0.6722722,0.67186815,0.6570502,0.636568,0.6144722,0.59494185,0.58353513,0.5793981,0.57662225,0.565752,0.5498109,0.54123646,0.55597895,0.59490037,0.6437972,0.6828024,0.7004278,0.6966148,0.67664003,0.6462442,0.61170864,0.5800409,0.5576846,0.545561,0.54058266,0.5370617,0.53234786,0.5262858,0.5214109,0.51886153,0.518835,0.51999813,0.52192783,0.52415866,0.5259698,0.5259672,0.52282023,0.5170271,0.5102032,0.5050268,0.5029444,0.5042958,0.50976014,0.522011,0.54642564,0.5833993,0.62525886,0.65548676,0.6636315,0.65167403,0.63369775,0.6207481,0.6142159,0.60818285,0.5982023,0.58498913,0.5715739,0.5609498,0.5539372,0.55006075,0.5462398,0.5396888,0.5292227,0.51761883,0.508659,0.5047062,0.5041221,0.50108653,0.48863685,0.4627217,0.42724523,0.39150953,0.36508563,0.35032806,0.34273294,0.3347222,0.32287854,0.30975834,0.30231154,0.30562082,0.32234135,0.35372588,0.40289557,0.46762952,0.5361165,0.5876012,0.6090428,0.6037445,0.5889797,0.57842183,0.57470465,0.57275206,0.5708023,0.57156134,0.5771521,0.5834687,0.5853038,0.582926,0.58555347,0.6001463,0.6242707,0.6433478,0.6465543,0.6327264,0.6124172,0.59359497,0.57896495,0.56596357,0.55429363,0.5450322,0.5381959,0.5313242,0.5224106,0.5128898,0.5053707,0.50041395,0.49505582,0.48672917,0.4761136,0.46723175,0.46397367,0.4673998,0.47531283,0.48438945,0.49244973,0.49967209,0.5069304,0.51461005,0.5220456,0.53042144,0.54330444,0.5643804,0.5911581,0.6139044,0.62126,0.6103644,0.5881329,0.5653524,0.5468915,0.5323351,0.5194528,0.50946355,0.5042222,0.50444186,0.508162,0.5132647,0.5183206,0.52239853,0.52415943,0.52273536,0.51912636,0.51589686,0.51443106,0.51276356,0.50681067,0.49372923,0.47478953,0.45429206,0.43734667,0.4267589,0.42252398,0.42222735,0.42290637,0.42300677,0.42288485,0.424359,0.429484,0.44137463,0.4656773,0.5069966,0.5625348,0.61628383,0.648341,0.64813256,0.6232148,0.58987814,0.560203,0.53818685,0.5251091,0.52442247,0.53509647,0.5478695,0.5487726,0.535031,0.52037877,0.52648103,0.5603118,0.6070287,0.6393617,0.6428214,0.621841,0.5930025,0.5661642,0.5434396,0.52433234,0.51231754,0.5101781,0.51459616,0.5183632,0.516965,0.51312256,0.5124851,0.51831126,0.5283291,0.5375288,0.5416366,0.5402203,0.53620267,0.53364486,0.53451896,0.5376708,0.54029375,0.5402725,0.53759664,0.5337914,0.53068084,0.52838063,0.524085,0.5126987,0.49077842,0.46008542,0.42763844,0.40060326,0.38203797,0.37025866,0.36202443,0.35495868,0.34741104,0.33876264,0.32900932,0.32025215,0.3138728,0.310276,0.30668604,0.3001589,0.28752902,0.2682542,0.24424511,0.2224189,0.21244158,0.22271006,0.25299326,0.2930402,0.3279198,0.34639868,0.3449082,0.32436594,0.28820387,0.24252586,0.19911899,0.17246984,0.17279601,0.19970524,0.24124677,0.28138033,0.30616665,0.30922592,0.28946853,0.25137278,0.2040437,0.16216473,0.14140011,0.15106797,0.18833832,0.23920266,0.28756186,0.32325113,0.3451034,0.35573664,0.35733995,0.35038128,0.336396,0.3185664,0.30032158,0.28243133,0.26274738,0.23749177,0.20481281,0.16671528,0.12959315,0.10139652,0.08864004,0.094296,0.116630636,0.14943308,0.18230516,0.20482923,0.20981021,0.19665618,0.17001063,0.13845393,0.11174983,0.09886386,0.1047549,0.12862326,0.16425504,0.20329513,0.23856406,0.2660438,0.28471243,0.2956753,0.30102658,0.30320004,0.30454513,0.30729327,0.31245384,0.31875214,0.3223807,0.31951085,0.3088307,0.2918156,0.27053988,0.24584264,0.21921287,0.1951987,0.18171827,0.18490602,0.20379232,0.2295962,0.25099266,0.26150158,0.26161894,0.25716516,0.25406954,0.25610805,0.26371434,0.2750156,0.28713918,0.29655644,0.3000876,0.29439917,0.279295,0.2585123,0.23994584,0.22921054,0.22638817,0.22660716,0.22655387,0.22664924,0.22839989,0.22965139,0.22572476,0.21381213,0.19606431,0.1765846,0.15726635,0.13739888,0.11794811,0.105354495,0.10836605,0.13116953,0.1677808,0.20576721,0.23380329,0.24849749,0.25341702,0.25485584,0.25706396,0.2610334,0.26535767,0.26821613,0.26943612,0.2700375,0.2717171,0.2742323,0.27712515,0.27952397,0.2822639,0.28520402,0.28745443,0.28678906,0.2819687,0.27326941,0.26233527,0.25177792,0.24369223,0.23912017,0.2360512,0.23097073,0.21972786,0.20054007,0.17423962,0.14486168,0.1176363,0.09732353,0.08680523,0.0882046,0.10239794,0.1278597,0.15845592,0.18711127,0.20964317,0.22691207,0.24035828,0.24859495,0.24872343,0.240371,0.22787528,0.2164344,0.20949495,0.20730098,0.20956807,0.21504992,0.22180192,0.22635394,0.22571337,0.21757454,0.2014396,0.17951101,0.15828097,0.14607996,0.14768039,0.1603357,0.1757676,0.18616752,0.18775594,0.18066905,0.16675854,0.14964294,0.13539171,0.13118632,0.14177686,0.16538818,0.19502299,0.22177543,0.24025266,0.24899764,0.25019488,0.24669635,0.24121916,0.23481627,0.22724737,0.21715142,0.20340626,0.18585902,0.16569012,0.14483139,0.12506996,0.10777228,0.093991004,0.08518062,0.08274459,0.08829107,0.10211425,0.122901835,0.14494409,0.16011561,0.16067919,0.14629336,0.124520816,0.1069043,0.10110465,0.107896365,0.12417739,0.14670022,0.173509,0.20137376,0.22589958,0.2418958,0.24599086,0.2371568,0.21980812,0.20247436,0.19456671,0.19772749,0.20550664,0.20801382,0.20179315,0.19025691,0.1788487,0.1683526,0.1564256,0.14353873,0.13672014,0.14494175,0.17096156,0.20786469,0.24457984,0.2730398,0.2912642,0.29966828,0.29889205,0.2891592,0.27285668,0.2534131,0.23436438,0.2171945,0.20273,0.19175757,0.18553619,0.18395598,0.18489504,0.18525136,0.18357338,0.1811574,0.18083538,0.18434636,0.19156085,0.20133245,0.21350662,0.22816639,0.24461444,0.2594413,0.2686641,0.26922682,0.26194227,0.25011757,0.23846962,0.23006757,0.22626704,0.22669643,0.23001705,0.23348737,0.23356171,0.2279113,0.21736501,0.20523004,0.19458966,0.1865346,0.18112542,0.17920919,0.18197787,0.18943357,0.19898959,0.20783275,0.21472657,0.2212823,0.22931577,0.23868997,0.24580468,0.24541621,0.23482557,0.21794789,0.20490234,0.20458627,0.21727736,0.23420726,0.24606459,0.2500213,0.24966861,0.24944131,0.25169924,0.25738084,0.2669315,0.2792146,0.29065743,0.29742563,0.29862228,0.2978882,0.30063054,0.30933538,0.32017276,0.32398167,0.3130108,0.28668356,0.2543982,0.22780824,0.21441014,0.21197754,0.21436162,0.21551158,0.21421821,0.21232982,0.21397115,0.22319894,0.24074286,0.26213232,0.27794144,0.2809094,0.26990956,0.25187308,0.23524946,0.22564156,0.22240591,0.22149712,0.2183728,0.21107544,0.2000562,0.18695791,0.17309175,0.15888585,0.14443474,0.13006963,0.11789661,0.11192962,0.11743947,0.13689454,0.16699316,0.19810967,0.21916036,0.22326596,0.21041717,0.18576582,0.15557481,0.1254412,0.100257434,0.08565468,0.08756044,0.10950401,0.14944442,0.19826011,0.24359052,0.2753063,0.290669,0.29351088,0.29091874,0.28890207,0.2910131,0.29829133,0.3091875,0.32025406,0.32684124,0.3265322,0.31972894,0.31001902,0.30064258,0.29369166,0.28888237,0.28518763,0.2809471,0.2751986,0.2672173,0.25712314,0.24523582,0.23290801,0.22183616,0.21391203,0.20972086,0.2088811,0.21066879,0.215607,0.22441368,0.2360593,0.24588831,0.24826185,0.24041985,0.2250887,0.20790112,0.19348598,0.18335022,0.17697938,0.17379571,0.1733077,0.17438193,0.17483014,0.17263097,0.16763942,0.16184956,0.15844691,0.15944143,0.16559803,0.17705482,0.19523372,0.22120099,0.25350773,0.2862905,0.3123453,0.32712469,0.3316703,0.33068296,0.3288202,0.3268758,0.32135162,0.3071282,0.2831204,0.2544844,0.2306087,0.21726613,0.21395977,0.21487814,0.21566318,0.2149735,0.21440507,0.21543382,0.21905935,0.22558896,0.23481582,0.24568868,0.2565564,0.26601526,0.27378973,0.28064358,0.28749758,0.29411253,0.2986146,0.2979814,0.2898058,0.27350068,0.25061998,0.2230913,0.19297583,0.16233285,0.13483779,0.11381876,0.10087714,0.09413999,0.091612555,0.09406564,0.10648628,0.13280453,0.17102422,0.21157305,0.24422765,0.26392886,0.2730248,0.27602956,0.27613786,0.27405006,0.2702903,0.26606056,0.26291153,0.2617019,0.2622373,0.26357627,0.26460335,0.26460356,0.26361087,0.26244953,0.26179266,0.2612464,0.25864735,0.2517101,0.23980021,0.2253707,0.2123658,0.20386016,0.20012148,0.19922632,0.19896115,0.19850951,0.19859158,0.20077495,0.20654076,0.2166506,0.23037177,0.24556327,0.25965026,0.2711666,0.28019026,0.2875503,0.29337847,0.29640666,0.2941147,0.28486773,0.26956832,0.2526782,0.2391957,0.23218529,0.23101021,0.23339784,0.23720032,0.24142335,0.24575931,0.25004476,0.25418034,0.25803366,0.26125458,0.26331374,0.2637162,0.26252672,0.26012585,0.25700626,0.25357413,0.25061175,0.24925269,0.25047192,0.25410876,0.25880334,0.26263157,0.26436052,0.26385942,0.26197496,0.25978282,0.25824443,0.25789058,0.2588311,0.26064548,0.2626901,0.264227,0.26473832,0.26391503,0.26183453,0.25866798,0.2541832,0.24737395,0.23701353,0.2232021,0.20797105,0.19462334,0.18523371,0.1798106,0.17651166,0.17390543,0.17148936,0.16982083,0.16912039,0.16940887,0.17024525,0.17152362,0.1730091,0.17474116,0.17658842,0.17849489,0.18007012,0.18083467,0.18043463,0.17892538,0.17657264,0.17339163,0.1691042,0.16345562,0.15670057,0.14950456,0.14248429,0.13554524,0.1275644,0.116675675,0.101433605,0.082145825,0.0613752,0.042673122,0.028653616,0.019729963,0.01463139,0.011657373,0.00966303,0.008135109,0.0068980544,0.005866902,0.0049963333,0.0042569465,0.003615332,0.0030191655,0.0024414866,0.0019099908,0.001508419,0.0013285457]