[0.14107412,0.15036404,0.1745403,0.21263404,0.2554256,0.29007092,0.30647781,0.3053256,0.2940763,0.2825881,0.27618325,0.27619302,0.28029013,0.28649223,0.29340485,0.30009177,0.30407786,0.30219397,0.2930348,0.27846414,0.2629687,0.25017634,0.24089378,0.23235501,0.22309434,0.21592139,0.21975012,0.24037862,0.27593097,0.3138778,0.34110203,0.34839857,0.33340383,0.29865912,0.25110257,0.20474458,0.1765995,0.18338025,0.22742967,0.2955509,0.36064494,0.40336314,0.41816273,0.41452435,0.39948738,0.37640366,0.3463582,0.31660113,0.2956783,0.28629443,0.2812823,0.26903772,0.2446109,0.21412498,0.19170783,0.18779308,0.20280488,0.22735035,0.25040868,0.26531687,0.2709223,0.26801744,0.256781,0.2382233,0.21735387,0.20348208,0.20466866,0.22181694,0.24788491,0.27399278,0.29537296,0.31199348,0.325727,0.33719084,0.34581828,0.3492495,0.3446615,0.33067167,0.31023714,0.29199287,0.28631946,0.30024108,0.32948852,0.3604453,0.37606087,0.36924672,0.34422615,0.31347623,0.2873213,0.2726312,0.27192187,0.28499368,0.30678502,0.32865414,0.34216273,0.34397307,0.33714163,0.32846522,0.32464144,0.32858893,0.33726248,0.34094945,0.3280021,0.2922762,0.23981588,0.18563445,0.1452854,0.12610047,0.12788722,0.14492768,0.16845523,0.1864268,0.19118793,0.18690062,0.18919437,0.21148556,0.2521992,0.29508516,0.32244912,0.3265578,0.3131931,0.29305813,0.27643755,0.26865503,0.2748131,0.29605106,0.32732776,0.35397518,0.3633113,0.3532337,0.3345633,0.31897756,0.3105414,0.30589414,0.30136114,0.29835436,0.2993938,0.304077,0.30570173,0.29828894,0.280152,0.25634283,0.23217267,0.21056934,0.19137283,0.17583078,0.16849864,0.17490758,0.19679303,0.22883625,0.262198,0.28884032,0.3051947,0.30997816,0.30330732,0.28768387,0.2695296,0.257694,0.25634518,0.2639394,0.27493623,0.2862211,0.29631388,0.30362117,0.3075815,0.31011283,0.31691256,0.33169922,0.35562482,0.38400316,0.4094392,0.4215971,0.41590247,0.39424264,0.3666518,0.34159377,0.32450846,0.315356,0.3131102,0.31658593,0.32402265,0.3323126,0.3356991,0.33008346,0.3132887,0.28761575,0.2557964,0.22212988,0.1913475,0.17089917,0.16827609,0.1872048,0.22343077,0.26563367,0.30156234,0.32368395,0.33074424,0.32549283,0.31280527,0.29958543,0.29248726,0.2958203,0.30820248,0.32527855,0.34099376,0.3514143,0.35443816,0.3515509,0.34681067,0.34487823,0.3493239,0.36080918,0.37803578,0.39340988,0.39614555,0.37597683,0.33622327,0.2915801,0.26142037,0.25381243,0.26529074,0.2854354,0.30754086,0.32875425,0.34786853,0.3607926,0.3634152,0.3547554,0.3388522,0.32068267,0.30140895,0.27814054,0.24678166,0.20860542,0.17008358,0.14125365,0.12789722,0.12997447,0.14358467,0.16500352,0.191849,0.219085,0.24185967,0.25749084,0.26957664,0.2825905,0.29949245,0.3212471,0.34692731,0.37228692,0.38690677,0.382709,0.35920724,0.32853258,0.30597034,0.30468372,0.32591298,0.35930905,0.385254,0.39000812,0.37341353,0.34880814,0.32906917,0.31942034,0.31800535,0.32241356,0.33177376,0.34349874,0.35351393,0.35762548,0.35595596,0.34874976,0.33439326,0.30877224,0.27205163,0.2310596,0.1958934,0.1750198,0.17165907,0.18553863,0.21014702,0.23674339,0.25609332,0.266481,0.26985526,0.26893246,0.26244098,0.25070593,0.2391429,0.23715006,0.2507151,0.27970222,0.3170004,0.35316673,0.375953,0.38040876,0.36929443,0.35619512,0.35203138,0.36305365,0.3841056,0.405405,0.4132683,0.4025196,0.37641442,0.3467635,0.32119468,0.30205023,0.2874711,0.27823213,0.27751973,0.28552577,0.29599035,0.2969395,0.28071532,0.24819292,0.20890577,0.1714039,0.14048669,0.11810552,0.10941211,0.12059501,0.15285856,0.19689304,0.23729908,0.26216772,0.26975024,0.26613364,0.25861225,0.25150302,0.24771138,0.25037876,0.26276097,0.28508246,0.31517437,0.34899175,0.38085344,0.40222332,0.4039941,0.3848751,0.35262892,0.32357764,0.31014678,0.32003486,0.3466241,0.3758191,0.3874855,0.37552324,0.34810853,0.32440913,0.31403401,0.3151295,0.31884554,0.3215795,0.32414496,0.32680526,0.32547852,0.316272,0.30106902,0.28642488,0.2772136,0.27175054,0.26503536,0.25508884,0.24613488,0.24500225,0.25520077,0.27396962,0.2945241,0.30944085,0.31285176,0.30019772,0.27076474,0.23149234,0.19851984,0.19002576,0.21425653,0.26399407,0.32263997,0.37508324,0.41156754,0.42520142,0.4128745,0.37990296,0.34193787,0.31700075,0.3163434,0.33907828,0.37375286,0.4035376,0.41553512,0.408519,0.39247486,0.37951323,0.37480378,0.3764445,0.38046098,0.38547167,0.39068022,0.39435506,0.39274132,0.38477647,0.37238026,0.36041227,0.35148332,0.34618452,0.34326828,0.34252074,0.34397414,0.3475639,0.35229954,0.3571082,0.36122957,0.36445472,0.36681518,0.3684529,0.3695999,0.37085068,0.37329063,0.3784807,0.38798872,0.4027348,0.4227611,0.44403708,0.45951906,0.45957676,0.44272575,0.4146329,0.38915625,0.3755435,0.3795434,0.39703426,0.4200317,0.43495297,0.43495914,0.42076334,0.40272447,0.3888228,0.382435,0.38084742,0.38143563,0.38269338,0.38398376,0.38413808,0.38143775,0.37591028,0.36895716,0.36291566,0.35827327,0.35453585,0.35095838,0.34820303,0.34751222,0.3496653,0.35408732,0.35919118,0.36324337,0.36520174,0.36492434,0.36318836,0.36110687,0.36025596,0.36188078,0.3672855,0.37699124,0.39176908,0.41185883,0.43443012,0.4522759,0.45508978,0.4396774,0.41152585,0.3852055,0.37139142,0.37592044,0.39247438,0.41052878,0.41529632,0.4033663,0.37966907,0.35759977,0.3434489,0.33809254,0.3374312,0.33983457,0.34453014,0.35043573,0.35506114,0.35612094,0.35350618,0.34901235,0.3452303,0.34375238,0.34516945,0.34900537,0.35411966,0.35848364,0.36020982,0.3583238,0.35341874,0.34627143,0.3368585,0.32433546,0.30877456,0.29256177,0.27943447,0.27207384,0.26998383,0.27146903,0.2774817,0.29195446,0.31539738,0.33910045,0.34882617,0.3376669,0.31230316,0.28958914,0.28360316,0.29962865,0.32928738,0.35654268,0.36474064,0.35075513,0.3245194,0.3020313,0.29023683,0.2869821,0.28593075,0.28572476,0.2877406,0.29236576,0.295733,0.29460445,0.2897273,0.28522035,0.28347507,0.28374448,0.28471112,0.28654775,0.289332,0.29062715,0.28685692,0.27674213,0.26334423,0.25137147,0.2434745,0.23811464,0.23222302,0.22586375,0.22401671,0.23394172,0.25887296,0.29656538,0.34176388,0.3879077,0.42724785,0.4476559,0.44139016,0.40862998,0.36452737,0.32884812,0.3199239,0.34124115,0.38063562,0.41474235,0.42595407,0.4125365,0.38746938,0.36562812,0.35448644,0.35383168,0.36046645,0.3721925,0.3861792,0.39865434,0.40447116,0.4020544,0.3937724,0.3852624,0.3799353,0.37787423,0.37684894,0.37536612,0.37375793,0.3729407,0.37355152,0.37521937,0.37764427,0.38026586,0.38220465,0.38148287,0.3764018,0.36742628,0.35820022,0.35411736,0.35918888,0.37471423,0.39948526,0.42868975,0.45419133,0.46486297,0.45611417,0.4314866,0.40462697,0.38724914,0.38740447,0.40140578,0.42028818,0.42964444,0.42401695,0.40553558,0.38555217,0.37087718,0.36384478,0.36125508,0.36102128,0.3625981,0.36550072,0.368366,0.36780882,0.36262038,0.35340226,0.3440013,0.33717164,0.3344619,0.33496782,0.3372936,0.33973828,0.3411139,0.3409709,0.34014145,0.34021136,0.34248617,0.34673083,0.35161066,0.35548583,0.35785997,0.35928145,0.36175844,0.3678,0.38004008,0.3983891,0.41806516,0.43007922,0.4269649,0.40985373,0.3881569,0.37456998,0.37602922,0.3934802,0.41879353,0.4406089,0.44555882,0.43125963,0.40441194,0.38080963,0.371241,0.3816972,0.40631196,0.43414184,0.44853354,0.44250312,0.4181224,0.39022645,0.37191853,0.373857,0.39363304,0.4207759,0.43724132,0.43580142,0.42219225,0.4131528,0.4156406,0.4241914,0.42536274,0.4148061,0.39776692,0.38591453,0.38619438,0.4016832,0.42668247,0.45228437,0.46461836,0.4587427,0.43703747,0.41380247,0.4016334,0.4107864,0.43826625,0.47274306,0.49667335,0.5033531,0.4977816,0.4915553,0.48526767,0.46941212,0.43454003,0.38624278,0.34237412,0.32288995,0.3360524,0.37698844,0.42683816,0.46449474,0.47308934,0.45353603,0.41749284,0.38405398,0.36556563,0.37027124,0.39258423,0.41851437,0.4271115,0.4147466,0.39614198,0.3954055,0.41753224,0.44586506,0.46039394,0.458289,0.4558845,0.46584418,0.4880767,0.5086443,0.5179073,0.5122391,0.49685264,0.48053277,0.47563004,0.48833063,0.5129003,0.53199095,0.5338003,0.5183747,0.49909484,0.48649666,0.4856018,0.4880294,0.47947994,0.4423329,0.3725996,0.28071144,0.18965793,0.11778921,0.07496793,0.06018132,0.066890694,0.08441586,0.1028721,0.118049026,0.13310574,0.15394047,0.18258357,0.21528868,0.24634953,0.27268973,0.29548672,0.31717658,0.33845517,0.3555425,0.3627567,0.35502613,0.33308437,0.30306414,0.27618897,0.26113662,0.26010635,0.26638225,0.27291045,0.27845666,0.2883586,0.30616876,0.32717904,0.3403796,0.3350344,0.3091142,0.2701057,0.23270355,0.20915629,0.20391594,0.21196915,0.22490919,0.23542611,0.23917513,0.23490603,0.22468956,0.21387412,0.20676665,0.20420982,0.20380451,0.20518048,0.21090166,0.2237215,0.24239922,0.26174614,0.2763529,0.28258333,0.27949378,0.26812395,0.25236687,0.23852356,0.23274748,0.23805834,0.2523704,0.2702416,0.2851285,0.29200697,0.2882013,0.27407,0.25304097,0.23125482,0.21550415,0.21047784,0.21647747,0.22946995,0.24383962,0.2552381,0.26353097,0.27101204,0.28031754,0.28998438,0.29612425,0.295187,0.288079,0.27830485,0.26848075,0.25859526,0.24858415,0.24066137,0.23737532,0.23819035,0.24003707,0.24144976,0.24455063,0.2510961,0.2581954,0.26010212,0.2536427,0.24324727,0.23710568,0.24361403,0.26409718,0.29468796,0.3251711,0.34536967,0.34448215,0.3189668,0.27488112,0.23263258,0.21354844,0.22719951,0.26157197,0.29577705,0.31290373,0.3092079,0.2876477,0.2550585,0.21927427,0.19044133,0.17517765,0.1736849,0.18084736,0.19232088,0.207561,0.22590281,0.24460419,0.2589815,0.26808855,0.27371132,0.27824166,0.28031275,0.27664676,0.26504478,0.24737513,0.22927809,0.21770938,0.21846874,0.23211356,0.2519127,0.26396823,0.25671056,0.23027651,0.20034875,0.1866409,0.1984173,0.22756656,0.2554812,0.26709294,0.25950482,0.2431284,0.23250777,0.23666482,0.2525874,0.26852396,0.27302203,0.26296398,0.24522619,0.2319135,0.23408417,0.2567097,0.2970204,0.3438808,0.38273194,0.4002465,0.39375028,0.36989048,0.34206375,0.31884602,0.30215994,0.28968465,0.28299364,0.29128408,0.3204534,0.36601314,0.40610063,0.42219213,0.40598926,0.37101611,0.3354665,0.32027724,0.33251926,0.36836883,0.40793216,0.4330047,0.43199825,0.40982923,0.37875655,0.35696134,0.3546494,0.37087238,0.38877627,0.39338923,0.37951258,0.3594292,0.34742615,0.3553245,0.38297212,0.42238486,0.45624486,0.46800375,0.44963193,0.40828422,0.36231124,0.3321,0.33106056,0.35640466,0.38999724,0.40602016,0.39090744,0.35054636,0.30808914,0.28603852,0.29727343,0.33684763,0.38818467,0.42847273,0.4464581,0.4445739,0.43874836,0.44113562,0.4567989,0.47737858,0.49095833,0.48617986,0.46560422,0.43967316,0.42088488,0.41107666,0.40868342,0.41157064,0.4203379,0.4300362,0.43420896,0.42858222,0.4174722,0.40850508,0.4090035,0.4207636,0.43735573,0.4456224,0.4326721,0.3969698,0.3487294,0.30562323,0.28242478,0.29014966,0.3273586,0.38229075,0.42803445,0.44357857,0.41781247,0.36595574,0.3120582,0.2867166,0.29923502,0.34099343,0.38259485,0.4072015,0.41496623,0.42403182,0.44129983,0.45771563,0.45573282,0.42788318,0.38420203,0.3439113,0.3273096,0.34250227,0.38288304,0.4281001,0.4573531,0.46100852,0.4418175,0.41192198,0.38345435,0.37012735,0.37524092,0.3933072,0.40500465,0.39991483,0.37994945,0.36558226,0.37273744,0.40665308,0.45193994,0.48599502,0.48623613,0.44685796,0.37779364,0.30308008,0.24674386,0.22786026,0.24926548,0.29640892,0.3395071,0.35488608,0.33912298,0.3135406,0.30543652,0.33086798,0.3824809,0.4356887,0.46334317,0.45360982,0.4152589,0.36996385,0.3387326,0.33476946,0.36071932,0.4076933,0.45598674,0.48496655,0.48586476,0.4669384,0.44493377,0.43308675,0.43585464,0.44894364,0.46349743,0.46776685,0.4554381,0.42428783,0.38129604,0.33610415,0.30743948,0.3055508,0.32864964,0.35054374,0.34870782,0.31246826,0.25880668,0.21055163,0.19417036,0.21780042,0.27354285,0.32987714,0.3583856,0.34338227,0.29773477,0.24583851,0.21833397,0.22873361,0.2717662,0.3183954,0.34587625,0.34877256,0.3482547,0.3591977,0.3815683,0.39351705,0.38184103,0.3460975,0.30490544,0.27587238,0.27555028,0.30616665,0.36029884,0.4150878,0.452302,0.4619271,0.45252597,0.43578136,0.42519462,0.42345873,0.42726278,0.42413917,0.40755662,0.37751484,0.34758362,0.33211342,0.34411737,0.38022205,0.42312697,0.4451317,0.43152508,0.38795015,0.33900014,0.30887887,0.31205127,0.34770402,0.40115285,0.44809398,0.46467268,0.44230008,0.3917204,0.3384273,0.30697095,0.311759,0.34799924,0.39765108,0.4360671,0.45151672,0.44524837,0.4317535,0.42195508,0.42489234,0.4392058,0.45824003,0.4664879,0.4559423,0.42966494,0.4036987,0.39150462,0.3992355,0.4218929,0.4478108,0.45953527,0.44469997,0.40111938,0.34303856,0.29145873,0.27006236,0.28961015,0.34419572,0.40581465,0.44393924,0.4385229,0.39543915,0.3374559,0.29602683,0.29233256,0.3275001,0.3821032,0.42906058,0.45313907,0.45280823,0.43991625,0.4255413,0.42103863,0.426173,0.4333019,0.42852023,0.41128755,0.39499167,0.39660767,0.41602194,0.4346346,0.43365481,0.40899026,0.3750298,0.34950158,0.34701502,0.36945835,0.40975225,0.4519017,0.48417082,0.50065994,0.5020817,0.48827824,0.46224853,0.4332011,0.41232124,0.4027709,0.3948501,0.37935603,0.35727954,0.3431032,0.34951577,0.37883493,0.41668722,0.44351757,0.44414666,0.42176333,0.39040756,0.3678739,0.36090127,0.3705294,0.38875747,0.40572655,0.40649557,0.38739765,0.35517237,0.3298967,0.32542765,0.34864974,0.39022323,0.4340957,0.45683396,0.4455762,0.400849,0.34254253,0.29442286,0.27853096,0.3006476,0.3509476,0.4034842,0.4358976,0.4393698,0.4236587,0.40248254,0.3874124,0.38455972,0.39596915,0.4167384,0.4352703,0.4431508,0.4389355,0.4300889,0.4217472,0.41945943,0.42117742,0.4230995,0.4131534,0.38873515,0.35513762,0.3311328,0.32882062,0.3535765,0.39515576,0.4391147,0.46541476,0.4638205,0.43072328,0.37822995,0.32360885,0.29331836,0.30126354,0.3442839,0.39312816,0.4232739,0.4267372,0.42091048,0.4186604,0.42118898,0.4152483,0.39608452,0.36909685,0.3497626,0.34857634,0.37036857,0.40759364,0.44645193,0.4654349,0.45121607,0.40087104,0.3327793,0.27365422,0.25378266,0.2825174,0.34712076,0.4125327,0.4515953,0.454639,0.43658474,0.41604936,0.40942892,0.41878077,0.43751097,0.44975674,0.4460663,0.4252367,0.39856684,0.37696,0.3707056,0.38103077,0.40178645,0.415694,0.4080058,0.375766,0.33498195,0.30813807,0.31216148,0.34669802,0.3953434,0.43254444,0.43787253,0.40736136,0.35438535,0.3027104,0.27406862,0.28335688,0.3281873,0.39098564,0.4416623,0.46180317,0.45113242,0.42891765,0.41312364,0.41453385,0.4304284,0.4510901,0.46077347,0.45028773,0.41998076,0.38409996,0.35843876,0.35725355,0.38070366,0.4180044,0.44624296,0.45064154,0.4285593,0.3954452,0.3679863,0.3607618,0.3755935,0.40486816,0.4310571,0.43828365,0.4188006,0.37783143,0.33126974,0.30077875,0.30399096,0.34178483,0.395445,0.43967602,0.46212924,0.47054562,0.4771984,0.48473716,0.4817282,0.4630622,0.43644878,0.4197521,0.41864645,0.42317775,0.41954648,0.40684593,0.3994886,0.4067038,0.4241722,0.43392774,0.42945662,0.41790107,0.41502213,0.4222131,0.42761174,0.4189558,0.40011242,0.38901114,0.3973103,0.42015085,0.43885767,0.44441354,0.44275188,0.4480563,0.46319437,0.47759828,0.4809849,0.47441158,0.47174764,0.48034617,0.49688387,0.50655437,0.5041204,0.4950056,0.4916863,0.4961109,0.5003151,0.49723312,0.49080944,0.4928023,0.50690335,0.52478725,0.5329873,0.5287821,0.52181673,0.5221229,0.52907634,0.5305509,0.52055573,0.5039448,0.4952482,0.49872628,0.5071413,0.50721854,0.497022,0.48615882,0.484203,0.4887247,0.48720536,0.47381365,0.4560472,0.4482071,0.45433998,0.4635966,0.46246192,0.44875255,0.4375913,0.44397938,0.4705077,0.5010319,0.5209283,0.5277822,0.5328677,0.542708,0.55189186,0.55031973,0.53629136,0.5204504,0.5111246,0.5070757,0.49773645,0.4815245,0.4692886,0.47577238,0.5021873,0.53269047,0.5497021,0.5460133,0.5300667,0.5142978,0.5093384,0.517798,0.5338337,0.5451222,0.540042,0.51815516,0.4893817,0.46845827,0.4636211,0.47740316,0.5037976,0.5333709,0.5524902,0.55568475,0.5459886,0.534579,0.527679,0.52483016,0.52150303,0.5157048,0.5094761,0.5051759,0.50373954,0.50455636,0.5085409,0.5183787,0.53355867,0.5483834,0.5530357,0.545057,0.52998406,0.51977205,0.52066374,0.533554,0.55197763,0.5683153,0.57374555,0.56603533,0.548986,0.53221416,0.5228126,0.5237291,0.5317826,0.538434,0.5323469,0.5058622,0.46425107,0.42356887,0.40276718,0.40942577,0.43806767,0.4708078,0.49012852,0.48421684,0.45661268,0.4178265,0.3826183,0.35963693,0.3555456,0.37027362,0.39864492,0.42835715,0.44888029,0.45557895,0.45318305,0.4497533,0.4542743,0.46750137,0.48397064,0.49173674,0.48784375,0.4756751,0.4656324,0.46168247,0.46748826,0.48211297,0.50242484,0.5149298,0.5096689,0.48742187,0.4676919,0.46600807,0.485095,0.5074219,0.5182123,0.50964975,0.48961118,0.4680252,0.45877063,0.4659325,0.4853662,0.4994897,0.49607763,0.4722116,0.44103777,0.41693482,0.4133682,0.43097496,0.46146032,0.4870975,0.49884596,0.49783453,0.4953593,0.4975212,0.50532466,0.5149316,0.52197933,0.5212298,0.50979805,0.49124968,0.47405198,0.4668343,0.4733373,0.49269295,0.5184682,0.5408457,0.5503891,0.54578346,0.53380525,0.52522355,0.5261829,0.5376311,0.55303067,0.56429434,0.562926,0.5496078,0.5299986,0.51415104,0.50692177,0.5114367,0.5247157,0.541181,0.5500326,0.5462937,0.5313105,0.5150536,0.5046161,0.50398254,0.5094494,0.51552755,0.5146754,0.50600636,0.49353722,0.48565456,0.48579392,0.49342814,0.5035774,0.511971,0.51423484,0.50996333,0.5013029,0.49370313,0.4908925,0.49535772,0.50613636,0.51903635,0.5263789,0.52173775,0.5054043,0.48402473,0.4663032,0.45737365,0.45935807,0.46861836,0.47732052,0.47564408,0.46405706,0.45454112,0.45951858,0.47682536,0.4882617,0.48105803,0.4576032,0.43635917,0.42983007,0.44091153,0.4605612,0.4796659,0.48984838,0.48955595,0.4815236,0.4727018,0.46799377,0.47042158,0.48017696,0.49306476,0.50026435,0.49238014,0.4710261,0.4485178,0.43976298,0.4478518,0.46327958,0.47375056,0.4737625,0.46774974,0.46315673,0.46604046,0.47838965,0.4994729,0.5278793,0.5582137,0.5833278,0.59358174,0.5875965,0.5700813,0.5527809,0.5432063,0.54545504,0.5548966,0.56347036,0.5596834,0.54017395,0.50916475,0.4794866,0.46111348,0.4601523,0.47266957,0.48725888,0.48698077,0.46328345,0.42330495,0.38792586,0.37570092,0.39186725,0.4266802,0.46240154,0.48210335,0.47613594,0.44777742,0.40898553,0.3752183,0.356993,0.35953608,0.38031402,0.41003272,0.43522188,0.44632447,0.44263244,0.43258128,0.42668387,0.43380168,0.45265344,0.4758813,0.49018112,0.49264303,0.48637626,0.48246357,0.483912,0.4917309,0.4996222,0.5032205,0.49554944,0.47889772,0.46126178,0.45636573,0.46602157,0.48103485,0.48426703,0.46946025,0.44128266,0.41520253,0.4028232,0.41189268,0.43645096,0.4651539,0.48182938,0.48470196,0.48097405,0.48534706,0.5008817,0.5233805,0.538902,0.5368873,0.5107823,0.46997383,0.4318736,0.41579583,0.42672336,0.45814154,0.4947591,0.5223666,0.52920365,0.5134562,0.48248768,0.45208403,0.435719,0.44103655,0.464933,0.49653134,0.52029085,0.52627784,0.5150421,0.49664068,0.48268488,0.48029733,0.4903849,0.5051903,0.51334065,0.50437444,0.48083413,0.45265302,0.4338945,0.43005148,0.443489,0.46731368,0.49196562,0.501931,0.4930717,0.47064602,0.45151266,0.44596002,0.458727,0.48284626,0.5086858,0.52282715,0.5207219,0.50505924,0.48730704,0.47472623,0.47090837,0.47257456,0.47596586,0.47583044,0.47231415,0.4701024,0.47873557,0.5006326,0.5305241,0.55409783,0.5627401,0.55407554,0.5361152,0.5159863,0.49941885,0.4871801,0.47944698,0.47570565,0.47496763,0.47549233,0.4749107,0.47076568,0.4600749,0.4416592,0.41748533,0.3933147,0.37427863,0.36236024,0.35543427,0.3505167,0.3457006,0.34094056,0.33689073,0.33408985,0.33258918,0.33224526,0.33277872,0.33373228,0.3343968,0.33431265,0.3336319,0.33301488,0.33274263,0.3324664,0.33152318,0.3297745,0.32755554,0.32543203,0.3237734,0.32283616,0.32266667,0.3232338,0.32442144,0.32614386,0.32813847,0.32998154,0.33134225,0.33233902,0.33354434,0.33537936,0.33762538,0.33920896,0.3388535,0.33583125,0.33068573,0.32502592,0.3207815,0.319172,0.32039663,0.3238378,0.3285431,0.33335552,0.33700022,0.33820724,0.3362851,0.33142003,0.3250595,0.31889063,0.31437814,0.3113276,0.30869308,0.30452168,0.29735997,0.28562686,0.26771417,0.24394383,0.21984865,0.2077498,0.21994664,0.26003695,0.31839526,0.37774578,0.4226116,0.4464498,0.4501909,0.4397799,0.41958532,0.398456,0.38505664,0.38949743,0.4087256,0.43305722,0.44693136,0.44467914,0.42698786,0.40560496,0.39200792,0.39549378,0.4124664,0.43529907,0.45468792,0.46967041,0.47689387,0.4738783,0.45445624,0.4194657,0.3720437,0.31888875,0.2685597,0.23421927,0.232193,0.2689067,0.3335117,0.39694285,0.43316647,0.43196487,0.40251544,0.3579286,0.30751607,0.2590746,0.22562796,0.2251784,0.26552582,0.3354198,0.40373436,0.44182727,0.43734434,0.40116647,0.35448384,0.3214773,0.31909552,0.34954497,0.39462137,0.4234588,0.413542,0.36324254,0.29626098,0.24486454,0.23907839,0.2831246,0.35741043,0.42182478,0.44927368,0.43148363,0.3842201,0.3235885,0.26611164,0.22392799,0.21223386,0.2407111,0.30414262,0.37975588,0.43647897,0.45835033,0.4491179,0.4282299,0.4103392,0.4032383,0.40359068,0.4053955,0.3986547,0.3832871,0.36480555,0.3566625,0.36368433,0.38736343,0.4169315,0.44016767,0.4422921,0.4242128,0.39460292,0.3660855,0.34203863,0.3291776,0.33595446,0.3676488,0.40901664,0.43801427,0.44180885,0.431671,0.42293766,0.42189154,0.4183395,0.40462515,0.38113368,0.35982743,0.3517075,0.3664366,0.40335068,0.4526274,0.49189892,0.5044643,0.48444793,0.44214824,0.3870825,0.3279953,0.27360132,0.23957728,0.24262078,0.28597653,0.3552246,0.42045394,0.4585158,0.45905557,0.42884168,0.37740472,0.3169019,0.26200673,0.23268418,0.24590151,0.30082044,0.37676802,0.44116664,0.47360873,0.4698998,0.44326976,0.40991604,0.39247045,0.40511405,0.44817105,0.49201098,0.50259745,0.4582694,0.3759129,0.29158577,0.2482862,0.2630143,0.32603875,0.3997017,0.4505831,0.460886,0.43684903,0.38982514,0.33153334,0.274311,0.23602565,0.23779185,0.28532597,0.36445484,0.44023073,0.48664364,0.49513507,0.48026618,0.45722333,0.4382703,0.4254527,0.41766822,0.40852913,0.3970541,0.3877236,0.39051208,0.4085156,0.43762466,0.4649093,0.47666225,0.46255326,0.43030152,0.40083274,0.39800575,0.42104423,0.45292994,0.47113696,0.47412136,0.46712294,0.45567074,0.43425155,0.40212205,0.3662745,0.33864272,0.32415307,0.31994784,0.3200583,0.32206747,0.32868496,0.34716246,0.3816686,0.42633915,0.46286455,0.47414562,0.45470917,0.41339228,0.3612958,0.3059089,0.25515473,0.22182071,0.22361374,0.26544884,0.3350964,0.40117553,0.43946123,0.4400809,0.41340354,0.37074447,0.32201722,0.27584073,0.24650611,0.25155663,0.29605302,0.3669249,0.4310867,0.4624587,0.4514006,0.41436073,0.37360713,0.3529061,0.36239716,0.3988807,0.4394457,0.45669386,0.4329783,0.37363577,0.30369398,0.25552374,0.25322154,0.29689154,0.36206886,0.41339043,0.42790124,0.40455353,0.3578457,0.30433157,0.25767082,0.22961713,0.23182373,0.26804158,0.32885125,0.39025745,0.4300551,0.43944582,0.42914212,0.41506934,0.40943554,0.41281757,0.41889644,0.41720262,0.4026986,0.38064042,0.36380064,0.36349645,0.38093793,0.41111878,0.44085798,0.45693037,0.4493989,0.42808723,0.41348276,0.42159486,0.44587955,0.47023726,0.4848391,0.4926561,0.49274597,0.4792206,0.44580004,0.40143612,0.3602958,0.33445892,0.32444528,0.32511696,0.32997954,0.3360629,0.34525523,0.3607835,0.37922993,0.38737062,0.36913788,0.3220159,0.2595737,0.20381676,0.16669355,0.14848997,0.1411451,0.13827187,0.13569026,0.13192676,0.12661229,0.12090067,0.11668119,0.11625764,0.12105491,0.13060616,0.14193738,0.15190487,0.16028662,0.17072731,0.18659358,0.20590697,0.220765,0.22313964,0.2115144,0.19248761,0.17695566,0.17430829,0.187685,0.21163411,0.23399253,0.2431082,0.23585396,0.22031999,0.21001178,0.21437782,0.23340583,0.2580286,0.27661732,0.27976885,0.26521555,0.23708604,0.20487551,0.17788996,0.16216563,0.1587239,0.16679174,0.18501998,0.21160585,0.24107532,0.26610747,0.2792656,0.27706063,0.25925606,0.22980018,0.1959291,0.16745955,0.15288706,0.1555473,0.1716642,0.19227855,0.20794563,0.21344721,0.20962268,0.20102139,0.1922708,0.18526416,0.17971687,0.17421557,0.16823132,0.16213821,0.15749393,0.15588087,0.15837204,0.16448952,0.17149235,0.1758018,0.17573275,0.17543371,0.18219872,0.20108718,0.22848868,0.25457844,0.26934567,0.26790068,0.2512576,0.22397797,0.19346257,0.16673349,0.1490975,0.1416778,0.14307666,0.150184,0.15971507,0.16903822,0.17734857,0.1859745,0.19687241,0.21068577,0.22549112,0.23746888,0.24281813,0.23970069,0.2289058,0.21300752,0.19506186,0.17797607,0.16405986,0.15480594,0.15008633,0.14853263,0.14807253,0.1473368,0.14582835,0.1437743,0.14129005,0.13840245,0.13524371,0.13235112,0.13020284,0.12908451,0.12940526,0.13231002,0.13905911,0.14878277,0.15763186,0.16074848,0.15778579,0.15506004,0.16205637,0.18294142,0.21129745,0.23357494,0.23828077,0.22412689,0.19950414,0.17611538,0.16189033,0.15817899,0.16124624,0.16509001,0.16515648,0.16033356,0.15406382,0.15233493,0.16133745,0.183297,0.21475239,0.24675345,0.27058804,0.28241673,0.28464916,0.2811302,0.27295282,0.2581958,0.23581971,0.20875776,0.18368156,0.16746569,0.16349705,0.16909522,0.17666645,0.17784911,0.16886888,0.1534027,0.14019185,0.13890672,0.15389179,0.18265991,0.21565776,0.24336644,0.26040575,0.26842436,0.27103963,0.27031302,0.26509723,0.2541844,0.24025732,0.22981893,0.23013633,0.24210405,0.25945,0.27059984,0.26661548,0.24466592,0.21001442,0.17292488,0.14482276,0.13459308,0.1453254,0.17383337,0.21037722,0.2436552,0.26536572,0.27464506,0.27558255,0.2729479,0.26849428,0.26183417,0.2535259,0.24646515,0.2440027,0.24581319,0.24636249,0.23834069,0.21841496,0.190619,0.16296948,0.14257409,0.1320862,0.13175833,0.14037107,0.15568984,0.17276736,0.18657096,0.19454844,0.19850868,0.20160235,0.20568031,0.21034802,0.21448995,0.21752603,0.2193073,0.22024061,0.22092871,0.22248334,0.22527117,0.22903705,0.23263876,0.23531811,0.23658805,0.2366219,0.23598365,0.23553634,0.23578012,0.23603563,0.23505498,0.23199923,0.22778124,0.22403796,0.22205202,0.22155683,0.2219373,0.22294009,0.22504278,0.2279679,0.230781,0.23249185,0.2334861,0.2342724,0.23459274,0.2328224,0.22801012,0.22033496,0.21094252,0.2003671,0.18849514,0.17513786,0.16104993,0.14843886,0.14001036,0.13733825,0.13928474,0.14284565,0.1451831,0.14534909,0.14399122,0.14226967,0.140978,0.14045802,0.14045842,0.14047284,0.14006145,0.13965763,0.14051457,0.14432345,0.15168895,0.16128373,0.16973667,0.17383547,0.17232586,0.1668228,0.1601644,0.15492778,0.15217799,0.15165468,0.15205812,0.15198804,0.15060459,0.14803652,0.14496583,0.14205416,0.13951899,0.13726152,0.13507695,0.13296668,0.13098334,0.12924698,0.1277463,0.12658687,0.1258285,0.12560976,0.12598751,0.12738222,0.13019724,0.13510287,0.14309938,0.15669888,0.17836766,0.20725517,0.23675434,0.2574633,0.26431566,0.2596815,0.25120035,0.24459511,0.24127042,0.2387585,0.23617609,0.23676072,0.24684675,0.26991662,0.30098644,0.32921937,0.34392452,0.34357008,0.33388194,0.32408798,0.31728864,0.30984166,0.29408762,0.267945,0.23925178,0.22419001,0.23634195,0.27688494,0.331697,0.38151893,0.4149063,0.4304473,0.43213674,0.4209474,0.40342703,0.38980567,0.39384663,0.41757905,0.45518467,0.49389315,0.5224454,0.5300586,0.51430494,0.48285815,0.4514254,0.431252,0.42373264,0.4237803,0.42658222,0.42984512,0.42758563,0.41106912,0.37247393,0.31630352,0.25599837,0.20725965,0.17596483,0.16048725,0.15708657,0.16578676,0.18817295,0.22287221,0.26345345,0.30016807,0.3239844,0.3308262,0.3225472,0.30650678,0.2911162,0.28418633,0.28971753,0.30861983,0.3376192,0.37261644,0.41066012,0.44940427,0.48492798,0.5086321,0.5161185,0.50836474,0.49689078,0.49100152,0.49785075,0.51236606,0.5250025,0.52178955,0.50077826,0.46997842,0.4451213,0.43318924,0.43184647,0.43352494,0.43298784,0.4278228,0.41336405,0.3844682,0.33860347,0.28287998,0.22918689,0.18847264,0.16391534,0.15523292,0.16234285,0.186908,0.22672813,0.27302274,0.3117983,0.33010286,0.3209388,0.28689057,0.2395555,0.19669677,0.17407115,0.179053,0.2072593,0.24832682,0.292979,0.33906317,0.38750365,0.4360069,0.47421822,0.4908925,0.48323235,0.46072772,0.43952194,0.4322602,0.44433847,0.46892038,0.4924114,0.49869826,0.4837598,0.45490327,0.42661747,0.40687418,0.3966991,0.39285156,0.39368114,0.3971196,0.3990653,0.39314723,0.37665892,0.35246566,0.32796016,0.30838647,0.29497275,0.28579068,0.27935347,0.2753585,0.2740076,0.2751516,0.2783554,0.28326383,0.28960136,0.29673812,0.3025993,0.3033234,0.2957883,0.28251877,0.27369848,0.2814037,0.31075704,0.3569033,0.40817806,0.45319745,0.48212275,0.49293375,0.48968777,0.48353276,0.48283753,0.49270806,0.5114978,0.5330762,0.54593545,0.5412636,0.51888764,0.49017254,0.4677836,0.45832098,0.45897165,0.46397266,0.46888593,0.47077814,0.46687678,0.45419803,0.43414342,0.4104382,0.3860172,0.35700607,0.318345,0.27115384,0.22790457,0.20432746,0.20794,0.23165928,0.25898075,0.2740727,0.27041042,0.25269645,0.23439497,0.22819327,0.2396661,0.26331285,0.29161778,0.32011008,0.351864,0.39096364,0.43716994,0.4835339,0.51742816,0.5311695,0.5225691,0.5012297,0.47843328,0.46857998,0.4757737,0.49466363,0.5075415,0.50158197,0.47464216,0.43849936,0.40598944,0.3859094,0.3809521,0.39001834,0.40850303,0.4256407,0.42876816,0.4083449,0.36714914,0.31758937,0.27575627,0.2504247,0.24195425,0.24462907,0.2536987,0.26662076,0.28252426,0.2978758,0.3068172,0.3029417,0.28548253,0.26013097,0.23813243,0.22926313,0.23912267,0.26594314,0.30361938,0.3429811,0.3786639,0.4089986,0.43541393,0.45471612,0.4614029,0.4524537,0.43306646,0.414579,0.40781036,0.42069855,0.45083442,0.48684692,0.50796247,0.50293595,0.4740161,0.43876922,0.41105166,0.3978949,0.39775792,0.4090284,0.42683557,0.44262442,0.44371584,0.4234086,0.38554886,0.34461477,0.31324208,0.29394767,0.2776418,0.25482896,0.22588341,0.20289995,0.19935493,0.21826029,0.24691732,0.26569143,0.26080832,0.23535384,0.20557463,0.19069792,0.2006331,0.23343682,0.2789278,0.32679555,0.37230816,0.41515383,0.4542426,0.48167405,0.48969808,0.47687042,0.45419893,0.43587747,0.43349645,0.44867167,0.47357497,0.49366584,0.49651125,0.48031482,0.45302764,0.42516255,0.40280774,0.38923523,0.38748494,0.39822707,0.41428375,0.4208133,0.4047831,0.3669127,0.32268992,0.29160622,0.28181967,0.28607044,0.29033247,0.28671226,0.27963603,0.27874088,0.28981146,0.30768645,0.32161748,0.32085148,0.3032057,0.2745084,0.24832791,0.23747228,0.24923344,0.27972338,0.31825197,0.3538996,0.38523546,0.41630402,0.45002317,0.4766582,0.48567602,0.47254106,0.4502413,0.43440378,0.43806148,0.45897684,0.48659185,0.5038152,0.5025007,0.48397887,0.46171454,0.4484155,0.45387244,0.47562048,0.5017843,0.5127354,0.49526,0.44855168,0.38591743,0.3275409,0.2947848,0.3015579,0.3443425,0.40063152,0.4433389,0.46195534,0.46840215,0.47840226,0.4939394,0.49998608,0.487463,0.46138754,0.44186816,0.4426545,0.46737537,0.50356704,0.53367805,0.5390013,0.51283497,0.46236375,0.4074421,0.37054208,0.36718163,0.3980802,0.44664896,0.48793864,0.5063093,0.5052449,0.50277644,0.50822175,0.51561004,0.50630647,0.47429183,0.42791247,0.38822162,0.36784223,0.36897263,0.38239858,0.39809847,0.40913537,0.41426727,0.41562155,0.4156665,0.4158976,0.41705576,0.4194739,0.42218053,0.42247808,0.41775572,0.40792522,0.39634252,0.38737103,0.38316867,0.3819895,0.3800113,0.3745797,0.36648056,0.3593825,0.3574872,0.36310968,0.37539372,0.39067563,0.4039997,0.41126272,0.41076943,0.40400013,0.3949152,0.38829973,0.3867344,0.3894323,0.39249313,0.39274836,0.38933873,0.38457313,0.3806205,0.3783896,0.37656733,0.37404445,0.37063298,0.36799434,0.3679293,0.37173188,0.3787763,0.3873051,0.39516488,0.4013121,0.40585342,0.40926063,0.41153547,0.41205516,0.41040942,0.40712687,0.40390655,0.40285373,0.40501535,0.40952697,0.41386923,0.41546455,0.41267452,0.40505883,0.39245978,0.37501648,0.35362163,0.33077326,0.30964455,0.29186532,0.2763152,0.26054564,0.24449943,0.23185368,0.22805893,0.23591198,0.25330314,0.27415228,0.2918657,0.30237365,0.30547825,0.30379686,0.30069515,0.29831576,0.29706812,0.29628745,0.29520392,0.29350558,0.29106292,0.28771153,0.28310943,0.2773013,0.2707955,0.2644919,0.2589778,0.25440776,0.25049886,0.24684335,0.24293025,0.23834646,0.23304315,0.22768243,0.22313148,0.22003888,0.21813715,0.21705067,0.2162202,0.21547247,0.2141443,0.21182787,0.20822431,0.20378296,0.19880162,0.19342105,0.18750386,0.18127692,0.17533517,0.17041613,0.1669817,0.16499455,0.16389838,0.16281773,0.16103894,0.15864192,0.15661114,0.15630186,0.15817289,0.16137391,0.16412203,0.16521649,0.16457117,0.16322869,0.16216111,0.16187008,0.16186292,0.16133887,0.15936099,0.15583873,0.15171921,0.14930876,0.15103784,0.15792276,0.168321,0.17877166,0.18601452,0.18895642,0.18906903,0.18955718,0.1933427,0.20176977,0.21436773,0.23050176,0.2496078,0.27070805,0.2909344,0.3067235,0.31437692,0.31124705,0.296105,0.27209273,0.24811806,0.23542131,0.24115495,0.26247963,0.29094383,0.3171694,0.33799812,0.3520796,0.35946473,0.35817906,0.349407,0.33643374,0.3249496,0.31837514,0.3179705,0.32215297,0.32884955,0.33504903,0.33731195,0.3306173,0.31204057,0.28358984,0.25584257,0.24210149,0.25274178,0.28726026,0.33538294,0.37994933,0.40534964,0.40422034,0.3807491,0.3465793,0.31284818,0.2858118,0.2680972,0.26242983,0.27055606,0.290251,0.3135645,0.33122033,0.3368155,0.3288802,0.30877328,0.2801891,0.25008762,0.23019706,0.23300679,0.26434362,0.31698242,0.37343165,0.416587,0.4392552,0.44575456,0.44416246,0.4396766,0.43166617,0.4166622,0.39118838,0.35419777,0.3087969,0.26258734,0.22630727,0.20892833,0.2132523,0.2341698,0.2621722,0.2890606,0.31149206,0.32904032,0.34046647,0.3412969,0.329042,0.30700195,0.28664422,0.2788836,0.28749505,0.30542442,0.32233644,0.33191827,0.33442137,0.3324791,0.32686692,0.31754744,0.30569804,0.2939148,0.28249726,0.26887468,0.25024346,0.22844444,0.20921254,0.1987798,0.19903648,0.20911403,0.22735767,0.2539949,0.28838602,0.32779607,0.36616406,0.39697406,0.41567144,0.42241192,0.42142677,0.41816333,0.41522637,0.41084027,0.40070602,0.3822882,0.357874,0.33430776,0.31873667,0.3144126,0.3194071,0.3289452,0.33860466,0.34540948,0.34833458,0.34727752,0.34336329,0.33716965,0.32842934,0.3156406,0.29810342,0.2771877,0.25590834,0.23729883,0.22381382,0.21863313,0.22646302,0.25075123,0.2905138,0.33818793,0.383698,0.41833594,0.43919548,0.4479626,0.44926187,0.44708762,0.4442704,0.44239005,0.4426563,0.44520655,0.448602,0.45029107,0.44857934,0.4440324,0.43904153,0.43593106,0.4353734,0.4362497,0.4367417,0.43596217,0.43444133,0.43347016,0.4334277,0.4338462,0.43413103,0.4345732,0.43559614,0.43731126,0.43972668,0.44223166,0.44335294,0.4400661,0.43315125,0.42829573,0.4363846,0.45989108,0.49051437,0.5097417,0.5092729,0.49428013,0.48000765,0.47319254,0.46956658,0.46355388,0.4578553,0.46368098,0.48210979,0.5018127,0.5023592,0.48054627,0.45129022,0.4396249,0.45375094,0.48196045,0.5031631,0.506711,0.49675044,0.48581252,0.48441753,0.4974607,0.520583,0.5436959,0.55410093,0.54854023,0.53224725,0.51789683,0.513668,0.5242088,0.5434248,0.561079,0.5625947,0.5461113,0.51917416,0.49660218,0.48359707,0.47792256,0.47361565,0.46833798,0.4624175,0.45625448,0.45014086,0.44589236,0.4474422,0.46011758,0.48351142,0.51057416,0.527435,0.52749103,0.5139385,0.50072193,0.49824286,0.51061195,0.5310084,0.5486958,0.5514934,0.53658587,0.5103568,0.48582363,0.47217724,0.4728169,0.4857441,0.50284415,0.5120655,0.50195336,0.4748746,0.44514668,0.4327215,0.44632614,0.48152283,0.51994306,0.54214114,0.53487533,0.5021843,0.4582769,0.4209515,0.39949313,0.39709958,0.41025898,0.43233934,0.45276666,0.46341872,0.46153495,0.45323804,0.4472026,0.45215273,0.46686414,0.48442826,0.4926289,0.48992124,0.48061422,0.47447363,0.47328946,0.47788584,0.48648965,0.4972516,0.5005406,0.48873046,0.46353135,0.4434625,0.44466475,0.47020403,0.50159943,0.52050346,0.5164529,0.49751484,0.47581914,0.46656457,0.473405,0.4921068,0.50604135,0.50481796,0.48588315,0.46127674,0.4426678,0.44144526,0.45912042,0.49094877,0.52278,0.54358625,0.54919887,0.5454674,0.53893536,0.5346042,0.5334504,0.53407246,0.53152275,0.5226878,0.50876445,0.49661723,0.49206305,0.4982287,0.5146868,0.5367606,0.55560344,0.55998904,0.5468563,0.5214011,0.49679208,0.48276863,0.48597392,0.5027724,0.52380604,0.5335383,0.5256073,0.5034001,0.48184088,0.4722967,0.4814718,0.503488,0.5276625,0.538482,0.5314441,0.5102344,0.48862734,0.47521532,0.47614482,0.4886043,0.50668436,0.5180809,0.51622957,0.50143963,0.48379126,0.47093678,0.46694234,0.46844423,0.47127545,0.46995923,0.46403834,0.4560087,0.45211017,0.45691237,0.47367695,0.5018489,0.53474385,0.55998605,0.56549233,0.5502956,0.5234899,0.4990469,0.4847771,0.48373833,0.49011478,0.49440423,0.4847261,0.46287945,0.4427782,0.44031957,0.45428196,0.46741065,0.4660108,0.4516298,0.44022858,0.44304463,0.46247616,0.49015883,0.5149715,0.5256073,0.51799715,0.49784634,0.47704744,0.46519482,0.46561432,0.47732052,0.4944421,0.5067942,0.5028704,0.48223546,0.45625424,0.44055644,0.4399036,0.44707343,0.45154795,0.44875893,0.4428284,0.439963,0.44443166,0.45610055,0.4736773,0.49704233,0.5238486,0.5487001,0.56165296,0.55956674,0.54574484,0.53174406,0.52501607,0.5300632,0.54230475,0.5540097,0.5530713,0.53533715,0.5044175,0.47345963,0.45378685,0.4530983,0.4693147,0.49141774,0.50232965,0.49173507,0.4652706,0.44111845,0.43621752,0.4550718,0.4895765,0.5237191,0.54176,0.5344539,0.5056295,0.4675279,0.43431535,0.4137994,0.40863213,0.4161314,0.42967618,0.4401668,0.44161776,0.43492174,0.42765024,0.42828932,0.44242492,0.46543905,0.4873775,0.49587348,0.49183083,0.4833875,0.48289612,0.49154663,0.5061458,0.5192759,0.5271515,0.52529025,0.5162986,0.5075159,0.5104954,0.52526885,0.5412712,0.5417829,0.5221079,0.48902807,0.458632,0.44246843,0.4479982,0.4699366,0.4975767,0.51420444,0.5165007,0.50975305,0.5088349,0.5189305,0.53928995,0.55785674,0.56302917,0.54490775,0.5091849,0.47151032,0.45099828,0.45377278,0.47454464,0.50051904,0.5205979,0.5266619,0.5185251,0.5025231,0.4902239,0.48975778,0.5045405,0.5310678,0.56169325,0.5857981,0.5960062,0.5925095,0.5827011,0.5754328,0.5747416,0.5782666,0.57738435,0.5636952,0.53417087,0.49726212,0.4652102,0.44837347,0.4472622,0.45972124,0.47824058,0.49517226,0.4988648,0.48799875,0.46952686,0.45969418,0.46697298,0.4920578,0.5237133,0.5490264,0.55495125,0.54025674,0.51239914,0.48627365,0.47045198,0.46743336,0.4724027,0.48058107,0.48749104,0.49339008,0.5014792,0.5173888,0.5415886,0.56978923,0.59236914,0.6033885,0.6005628,0.58835006,0.57154274,0.5549354,0.53986573,0.5264918,0.5135934,0.50009835,0.48507228,0.47075835,0.4626256,0.46843466,0.48827633,0.5134685,0.5274778,0.5234035,0.5050926,0.4879276,0.48193955,0.49177885,0.5113452,0.5316137,0.54058313,0.5337445,0.5143093,0.4930474,0.47977507,0.4807851,0.49565557,0.51618767,0.528433,0.52188903,0.49861836,0.47231054,0.45833567,0.46371317,0.48539615,0.51144177,0.5273516,0.5215334,0.49507642,0.45936075,0.43149486,0.42220393,0.43544674,0.46397063,0.49583736,0.5165257,0.5228496,0.52007884,0.5202739,0.52826375,0.54508764,0.56458354,0.5804522,0.58324957,0.5713791,0.5497533,0.53174853,0.5263725,0.5370826,0.5566825,0.5745658,0.5791216,0.56822044,0.54784304,0.5296684,0.52092427,0.5231266,0.5313861,0.5376996,0.53395957,0.51786137,0.49518475,0.47481528,0.46303713,0.46190628,0.4738911,0.49803483,0.5274713,0.54788613,0.55069923,0.5367667,0.5172041,0.5010036,0.49549118,0.49942574,0.5094908,0.5157454,0.5166629,0.51488847,0.518977,0.5280442,0.53633904,0.53831077,0.5362847,0.5363419,0.54169273,0.55083036,0.55851626,0.55694085,0.5383858,0.5012906,0.45598078,0.4198818,0.40750548,0.42158267,0.45572808,0.49667057,0.5311648,0.54616696,0.53935605,0.51598877,0.49136603,0.47726464,0.48315898,0.50643796,0.53902197,0.5660433,0.5809057,0.58405,0.5850839,0.5899046,0.60172033,0.6164059,0.6289676,0.6322715,0.62571716,0.61259943,0.60149115,0.5969144,0.60058683,0.6060131,0.60442066,0.5857348,0.5510533,0.51010257,0.4793373,0.4683092,0.47945428,0.50591475,0.5367475,0.55882025,0.5644198,0.5548238,0.53932077,0.528327,0.528505,0.54111826,0.56116194,0.5787399,0.5830698,0.57059485,0.5467227,0.5222235,0.5059927,0.5027275,0.51088923,0.52419895,0.5325219,0.5315966,0.52269197,0.5142834,0.51086307,0.516607,0.52782035,0.53867525,0.5374146,0.5221829,0.50003463,0.48698154,0.48969445,0.50597703,0.5248943,0.53994226,0.54725593,0.5498731,0.5501981,0.5514687,0.5528896,0.5537877,0.55436516,0.5565191,0.56191295,0.57083285,0.58310276,0.5992057,0.61724454,0.632916,0.6382056,0.6300977,0.6103131,0.58785605,0.57017684,0.56377864,0.5674557,0.57610554,0.5794418,0.5741796,0.5628509,0.5555133,0.5572963,0.57032084,0.5891741,0.6076897,0.61710256,0.61510223,0.6038973,0.5903256,0.57737035,0.5655981,0.5548708,0.54708576,0.5435956,0.54325265,0.54354495,0.543441,0.54511106,0.5522603,0.5674542,0.587095,0.60314316,0.6057791,0.59380966,0.5729603,0.5551445,0.54794854,0.55572444,0.5738673,0.5937817,0.6024762,0.59590477,0.57838917,0.5637002,0.5603847,0.57140785,0.58876497,0.6033326,0.605164,0.5948903,0.57832104,0.5669095,0.56556004,0.57568794,0.59078425,0.6034687,0.60467213,0.59367067,0.5756886,0.5606728,0.5525875,0.5501466,0.5483382,0.5447816,0.5396309,0.53561497,0.5348664,0.53859323,0.5461776,0.5573323,0.57161474,0.58674264,0.5974226,0.59773296,0.58695465,0.57007074,0.55624336,0.5521235,0.56166154,0.58052176,0.6002981,0.60904837,0.6052436,0.59535354,0.5897048,0.5881298,0.582257,0.5668139,0.547507,0.5388169,0.5459258,0.5619986,0.5709618,0.5679538,0.5602644,0.5604364,0.56990224,0.5787289,0.57885116,0.5719369,0.56853634,0.5718503,0.57764775,0.5778439,0.5744726,0.5752752,0.5851069,0.5978069,0.60186744,0.5943468,0.58254653,0.57912374,0.5864443,0.5979894,0.6030779,0.59966475,0.5936756,0.59162897,0.5936372,0.5930934,0.5881613,0.582625,0.58424234,0.5916884,0.5968526,0.5918273,0.57958305,0.5716799,0.57409126,0.58149666,0.5798065,0.5659519,0.5482664,0.54096323,0.5446322,0.54858035,0.5415868,0.52600414,0.5157526,0.51972467,0.53305864,0.5389328,0.5291658,0.5095241,0.49421152,0.48687872,0.4779621,0.45866582,0.43377647,0.42240012,0.43368706,0.4598775,0.47766998,0.4785515,0.47123244,0.47339466,0.4860069,0.49404737,0.48591605,0.46671072,0.45641553,0.4630973,0.47915137,0.48503542,0.47581398,0.46193704,0.45885265,0.46710074,0.4717122,0.45960236,0.42950264,0.3913909,0.35136893,0.31018284,0.2670839,0.2260782,0.19343883,0.17205131,0.16015632,0.15390395,0.15044773,0.14833373,0.14583527,0.14112765,0.13267522,0.12129929,0.11031953,0.10553694,0.11187303,0.1295771,0.15147762,0.16683054,0.16858387,0.15884139,0.14611007,0.13793753,0.13589998,0.137257,0.13990252,0.14407785,0.15035628,0.15652186,0.15922791,0.15712516,0.15353419,0.15324073,0.15870361,0.16750519,0.17508318,0.17793834,0.17585106,0.17067339,0.16486777,0.15964364,0.15485872,0.14898372,0.14075123,0.12994878,0.11849111,0.10983304,0.10843713,0.11651954,0.13165204,0.14565636,0.15051095,0.14424032,0.13339807,0.12672669,0.12789248,0.13367622,0.13861503,0.14106262,0.1430274,0.14695889,0.15173393,0.15454511,0.15387505,0.15193892,0.15208595,0.15573262,0.16087125,0.16419889,0.16364133,0.15954219,0.15390156,0.14910717,0.14651124,0.14559637,0.14397688,0.13905947,0.13002832,0.11925533,0.11157105,0.11222925,0.12320453,0.1408443,0.15632117,0.16132458,0.15429175,0.14198948,0.13402319,0.1349421,0.1421904,0.14970922,0.15406907,0.15563992,0.15681897,0.1588489,0.16130961,0.1627775,0.16228925,0.15970123,0.15583426,0.15198976,0.14993554,0.15093973,0.15502733,0.16020198,0.16383666,0.16422634,0.16203694,0.15912008,0.15709531,0.15597333,0.15508091,0.15403938,0.15338768,0.15358907,0.15407242,0.15356052,0.15142232,0.14917718,0.14931665,0.15351252,0.16043293,0.16737843,0.17198884,0.17435788,0.17556782,0.17669249,0.1775475,0.17762472,0.17640816,0.17394423,0.17043619,0.16655463,0.16325468,0.1620016,0.1636055,0.1677772,0.17249377,0.17561696,0.17582725,0.173554,0.16978137,0.16529243,0.16035187,0.15548627,0.15197693,0.15118477,0.15343899,0.1571313,0.16000907,0.16073841,0.16040808,0.16088937,0.16331476,0.16658662,0.16898012,0.16926889,0.16785546,0.16600545,0.16531491,0.16659427,0.16947965,0.17233908,0.1736114,0.1727026,0.17040561,0.1678946,0.16629595,0.16619428,0.16770409,0.16997492,0.17230706,0.17516822,0.1817099,0.19483031,0.2147788,0.23625135,0.2528615,0.26030245,0.25990498,0.25483367,0.24793494,0.23962168,0.23005952,0.21992064,0.2107032,0.2034223,0.19834076,0.19491832,0.19240709,0.189866,0.18654728,0.18223977,0.17753245,0.17355144,0.17091638,0.16940801,0.16781314,0.16527955,0.16183971,0.15894479,0.15804982,0.15960295,0.16240476,0.16509278,0.16767375,0.17179637,0.17894264,0.18853591,0.19809878,0.2052661,0.20934182,0.21100819,0.21071112,0.20823969,0.20326513,0.19636732,0.18882792,0.18191476,0.17635734,0.17235024,0.16997762,0.1690769,0.16911966,0.16900866,0.16783373,0.1655029,0.16308458,0.16169651,0.16154057,0.16136737,0.15982608,0.15673757,0.15380166,0.15318161,0.15587227,0.16093351,0.16675115,0.17276014,0.17975248,0.1884997,0.19804733,0.20601271,0.2102939,0.21063119,0.20830369,0.20473926,0.20071073,0.19660121,0.19296001,0.19047093,0.1892996,0.18904702,0.18886052,0.18829624,0.1872995,0.18646605,0.18601276,0.18559398,0.18387878,0.18050523,0.17666225,0.17527552,0.17786585,0.18363911,0.18955757,0.19328792,0.19404113,0.19254561,0.1899028,0.1871593,0.18525982,0.18449001,0.18449734,0.18431216,0.1834138,0.18208455,0.18129331,0.18179663,0.18320121,0.18425669,0.18363424,0.18164913,0.17972815,0.17940532,0.18007201,0.17994906,0.17769758,0.17447399,0.17256261,0.17324263,0.17540263,0.17699015,0.17719056,0.1771692,0.17881669,0.18278398,0.18822448,0.19342388,0.19710147,0.19837819,0.1970368,0.19358128,0.18935996,0.18591215,0.18390484,0.18304299,0.1824766,0.18166108,0.18051581,0.17942142,0.17896934,0.17940705,0.18040918,0.1811776,0.18138386,0.18105882,0.18019623,0.1779511,0.17377566,0.16851144,0.16467182,0.16440587,0.16766204,0.17227899,0.17608486,0.17870374,0.18136519,0.18519641,0.1900661,0.1947052,0.19791193,0.19918461,0.19870801,0.19701667,0.19478486,0.19282275,0.19151746,0.19074108,0.18995051,0.18892701,0.18775488,0.18664949,0.18565118,0.18470722,0.18555506,0.19296467,0.216259,0.2605261,0.3213317,0.37962547,0.4184152,0.43102598,0.42879954,0.4265683,0.43739125,0.46348462,0.49736866,0.52240664,0.52396685,0.5012525,0.46802247,0.44336918,0.43742374,0.45035163,0.4715403,0.48871043,0.49104843,0.47956493,0.4612379,0.44207907,0.41784766,0.38061082,0.33005282,0.27581403,0.23131917,0.20187338,0.18540247,0.17882134,0.18645626,0.2206577,0.28618804,0.371977,0.44738436,0.48939478,0.49283513,0.47710976,0.46261433,0.4640819,0.48036858,0.50273377,0.515573,0.5114463,0.49251458,0.4724281,0.46246874,0.4690267,0.48860857,0.51086426,0.52085644,0.51001304,0.48277307,0.4525888,0.42696977,0.40159,0.36641812,0.32068408,0.27309516,0.23599477,0.21327168,0.20207804,0.19930005,0.20949875,0.24518275,0.31036922,0.3939093,0.46550164,0.50428486,0.50591487,0.4908191,0.478629,0.4838821,0.50284225,0.5249596,0.5331556,0.52157855,0.49315786,0.463295,0.44501582,0.44951662,0.474648,0.5086234,0.5297728,0.5282557,0.5108064,0.49984828,0.50537306,0.52030325,0.5233598,0.5072534,0.47903702,0.45805636,0.45441464,0.4712682,0.4982625,0.5227418,0.52806145,0.51161,0.48073503,0.45451593,0.44467428,0.45720056,0.48371443,0.5108432,0.52050513,0.5083341,0.48170474,0.45480832,0.43023744,0.40087548,0.36076978,0.31423524,0.27294797,0.2440568,0.22788127,0.22094141,0.22444005,0.24561362,0.2901965,0.3526195,0.41280517,0.4500811,0.4576486,0.44723502,0.43759778,0.4418862,0.46326968,0.49354425,0.519129,0.52518404,0.50920576,0.47893628,0.45107916,0.4371786,0.44485816,0.46887025,0.4971623,0.51069903,0.50302976,0.47917426,0.4516114,0.42258477,0.38645205,0.34041166,0.29142964,0.25236544,0.22881629,0.21849032,0.21572308,0.22127236,0.2431792,0.28673592,0.34589425,0.40029296,0.4327424,0.43924832,0.43362522,0.43177715,0.44436207,0.47019258,0.50151545,0.52598196,0.53723407,0.5378589,0.5403726,0.5513657,0.56764436,0.57450134,0.56517345,0.5417519,0.5182746,0.50489813,0.50875145,0.5251737,0.5434482,0.54628825,0.52731884,0.491972,0.45944503,0.44362685,0.45244908,0.4780825,0.5071747,0.5195529,0.5080131,0.47684082,0.4445385,0.42465547,0.42539302,0.44359598,0.47037098,0.4902732,0.4921827,0.4758171,0.45178404,0.42772236,0.4021084,0.3672389,0.32331923,0.2783825,0.24377881,0.22268985,0.21197502,0.20819257,0.2150395,0.2446241,0.3013048,0.37535426,0.43759334,0.46894208,0.4669236,0.45398733,0.4492226,0.46447265,0.49178615,0.51700115,0.52135897,0.50034344,0.46210954,0.42708555,0.41054344,0.42021087,0.45044884,0.48724708,0.51062876,0.5096714,0.48752105,0.45789507,0.42844084,0.3967181,0.357332,0.31247342,0.2711521,0.24084252,0.22230671,0.21227746,0.21099687,0.22593339,0.2673684,0.33503172,0.41219887,0.47180626,0.49764213,0.49237677,0.4747901,0.46256888,0.467634,0.48902836,0.5185806,0.5384155,0.5379422,0.5143817,0.4818039,0.45529804,0.45003736,0.46622506,0.4933797,0.512043,0.5136302,0.5048903,0.50155836,0.5084354,0.51480126,0.50603706,0.47956076,0.44631955,0.42210424,0.41653967,0.43214574,0.45978367,0.4849712,0.4907795,0.47504845,0.4469162,0.42527726,0.42067352,0.43783382,0.4673338,0.496128,0.5065015,0.4960411,0.47171175,0.44671226,0.42092618,0.3875103,0.342087,0.29192108,0.24978067,0.22258377,0.20909573,0.20517898,0.21285212,0.24190278,0.29781485,0.3711212,0.43458423,0.46507943,0.45900786,0.43657252,0.42220306,0.43048796,0.45858574,0.49211392,0.51261616,0.5099067,0.4868441,0.45705497,0.4349463,0.42964944,0.44447735,0.47253075,0.4999167,0.50813115,0.4929274,0.46157196,0.4310927,0.4103702,0.40492228,0.41016278,0.41668394,0.40740335,0.37976012,0.34895423,0.34058297,0.36121228,0.3956649,0.42484507,0.44555995,0.46908998,0.5013252,0.5371426,0.56250596,0.5697635,0.5573863,0.53309995,0.50824255,0.49687758,0.5067423,0.5338978,0.56492305,0.58520824,0.58802384,0.57431513,0.55366284,0.5383747,0.5380395,0.55135304,0.5682486,0.5784054,0.5758684,0.5593886,0.53117806,0.49820748,0.47254622,0.4635694,0.4766582,0.5047417,0.5349782,0.54774576,0.53609556,0.50496036,0.47388923,0.45726454,0.46242318,0.4821868,0.5040005,0.51250905,0.50348115,0.4823463,0.4596965,0.43743667,0.4105588,0.37431368,0.3321875,0.29271472,0.2626389,0.2429039,0.23120481,0.22774684,0.2390179,0.27455628,0.33501062,0.4058422,0.46172968,0.48682383,0.48295665,0.4684492,0.46053383,0.4695972,0.49117818,0.5134468,0.5194952,0.50531954,0.47810864,0.45667183,0.45262304,0.4707726,0.50105804,0.5286427,0.5358195,0.5199167,0.49014962,0.46053115,0.43245313,0.39779416,0.3517948,0.3009788,0.2590437,0.23339592,0.22304831,0.22230744,0.2301948,0.25284305,0.29607442,0.35602775,0.41465417,0.45278206,0.46253088,0.45304096,0.44081286,0.439649,0.45557472,0.483364,0.5109523,0.522481,0.5133242,0.48815748,0.46345702,0.4515061,0.4620875,0.48869827,0.51764184,0.52878493,0.5203208,0.5054892,0.5035562,0.51433295,0.5199391,0.5040599,0.46876404,0.43365517,0.41673025,0.42587045,0.45499656,0.48961696,0.5116592,0.50976104,0.4874145,0.4595481,0.44326913,0.44688144,0.47042242,0.50204325,0.52497554,0.52249676,0.49550936,0.45828298,0.4276069,0.4047046,0.3791883,0.34377882,0.30257455,0.26816067,0.24776004,0.24123351,0.24406008,0.25653493,0.28623638,0.33691704,0.40160868,0.45710889,0.48610213,0.48389396,0.4671919,0.45327488,0.4562039,0.47432724,0.4989698,0.51437855,0.51376426,0.49895468,0.48239812,0.4734629,0.47792563,0.49264744,0.50978595,0.51697654,0.5081764,0.48704088,0.46462417,0.44527003,0.4238415,0.39115655,0.3479978,0.30404752,0.2717664,0.2546018,0.24854667,0.24875641,0.25772595,0.28598297,0.3367219,0.3999045,0.44919825,0.46937397,0.46086416,0.44518492,0.43901277,0.45253107,0.47931358,0.508735,0.5261473,0.5288802,0.52366453,0.5230704,0.5293153,0.5348265,0.5300992,0.51482856,0.49714234,0.48738682,0.49125552,0.5090181,0.5333794,0.5525148,0.55375844,0.5343265,0.50243807,0.4741561,0.4615866,0.46971178,0.49108252,0.5118354,0.5148584,0.49609753,0.46307126,0.43449286,0.42240286,0.43342245,0.4595267,0.48825908,0.50103956,0.49365154,0.47133413,0.44738576,0.42315707,0.39320222,0.3528347,0.30765375,0.26843897,0.24117295,0.22473492,0.21506079,0.21375644,0.22987516,0.27271676,0.33886003,0.4079279,0.4540565,0.4663618,0.45442268,0.439944,0.43788984,0.45256916,0.47486997,0.4923272,0.4919467,0.47312447,0.44381407,0.4198322,0.4118806,0.42718318,0.46053997,0.4988943,0.5210488,0.51783234,0.49331716,0.4612473,0.4267311,0.38677308,0.34009182,0.29369164,0.25916985,0.24076885,0.23502386,0.23648123,0.24679732,0.27624992,0.33066738,0.40178964,0.46336642,0.49343434,0.48716533,0.46287343,0.4428999,0.44376758,0.46702638,0.5033973,0.5352451,0.5481675,0.53872544,0.5159314,0.49448892,0.48540917,0.49358416,0.5115154,0.52496827,0.5189719,0.4960614,0.4744219,0.47307482,0.49157965,0.50893563,0.50673425,0.48267293,0.45452324,0.4393822,0.4479215,0.47508845,0.5080618,0.5276378,0.5237875,0.49879882,0.46886897,0.45027533,0.45396316,0.47898078,0.5146962,0.543271,0.55117863,0.5370743,0.51073766,0.48104063,0.44872808,0.409731,0.36525026,0.32279107,0.29114008,0.27246675,0.26378313,0.2632499,0.2748692,0.3086233,0.36506084,0.4319247,0.48152992,0.49842408,0.48361036,0.46002522,0.44696644,0.45709273,0.48523855,0.51880497,0.537914,0.53394216,0.5099433,0.48356923,0.4689393,0.47535095,0.49754333,0.5239151,0.53568584,0.52738905,0.507402,0.49941897,0.5142489,0.5468653,0.5726709,0.57276064,0.537008,0.47648653,0.4130988,0.37707224,0.3815743,0.4180249,0.45712137,0.4811171,0.49114147,0.5044166,0.5282684,0.55734223,0.57803255,0.5817382,0.5661152,0.5386524,0.5125793,0.5053113,0.5223443,0.55665064,0.5865421,0.59570116,0.5771523,0.54338527,0.51349485,0.5054423,0.5166144,0.52543366,0.50121003,0.431725,0.32963088,0.22625451,0.1451733,0.09432051,0.06607462,0.050983164,0.04198737,0.036091436,0.031670466,0.027884347,0.02432768,0.021006435,0.018075446,0.01565684,0.013739797,0.012229324,0.011012013,0.0100020515,0.009160428,0.008469436,0.007913324,0.0074684587,0.007107696,0.0068119247,0.0065554045,0.0063088182,0.0060390662,0.00572999,0.0053923554,0.0050586835,0.0047687604,0.004545994,0.004388724,0.0042674323,0.004137916,0.0039574043,0.0037064198,0.0033980962,0.00307374,0.0027775143,0.0025337513,0.0023396881,0.0021783102,0.0020372802,0.0019141078,0.0018105321,0.001721324,0.0016330524,0.0015315106,0.0014125374,0.0012852685,0.0011650706,0.0010620399,0.00097610155,0.0008997195,0.0008245115,0.0007466497,0.0006693333,0.0006036298,0.00055889366,0.0005341409,0.0005111677,0.00046972302,0.00040451274,0.00033750889,0.0003024334]