[0.0024910565,0.0026290666,0.0029169752,0.0035160538,0.0056819487,0.012841328,0.030420398,0.06279967,0.10926359,0.16188629,0.20903094,0.24136674,0.2567053,0.25930366,0.2557203,0.25053045,0.24475354,0.23678876,0.22392507,0.20439756,0.17940085,0.15477397,0.13906091,0.1391307,0.1547489,0.17890805,0.20119917,0.21487582,0.21800011,0.21328324,0.20354874,0.19222933,0.18225832,0.17635806,0.17318635,0.16801529,0.15588333,0.13713805,0.11759195,0.10415659,0.10110886,0.108726166,0.12560083,0.14782995,0.17021357,0.18659872,0.19389005,0.19289248,0.18822747,0.18470456,0.18493085,0.18704373,0.18641947,0.1775928,0.15872449,0.13290063,0.108659826,0.09487552,0.095806696,0.10823605,0.12539081,0.14272206,0.16000764,0.17844254,0.19673656,0.21139784,0.21945854,0.22109015,0.21850161,0.21365856,0.2058502,0.19264556,0.17307103,0.15116626,0.13523175,0.1320168,0.14129473,0.15657713,0.17167301,0.18419152,0.19280648,0.19255549,0.17737551,0.14633042,0.107098974,0.0704895,0.043988615,0.02936987,0.026556095,0.036266986,0.058833707,0.09047655,0.12309873,0.14847796,0.16371864,0.17237584,0.18128802,0.19521368,0.21377717,0.23155296,0.2413799,0.23898572,0.22517015,0.20593993,0.18855686,0.17902155,0.17807133,0.18153305,0.18199897,0.17454253,0.15966064,0.14246534,0.1287285,0.12190137,0.12324604,0.13229191,0.1474842,0.16581762,0.18367516,0.19743866,0.20415221,0.20283477,0.19514127,0.1858,0.17919905,0.17725442,0.17820393,0.17929405,0.17861293,0.17564057,0.17082097,0.16479468,0.15852912,0.15260829,0.14778228,0.14446485,0.14318246,0.14394154,0.14697796,0.1517648,0.15697704,0.16072173,0.16371702,0.17040516,0.18891913,0.22830527,0.29564282,0.38748452,0.483503,0.5495525,0.5590655,0.5124601,0.43879583,0.372816,0.3327467,0.31379417,0.30126175,0.28383902,0.2599957,0.23371851,0.21048631,0.19340825,0.18381242,0.18168376,0.18767025,0.20200063,0.22243752,0.24176387,0.25073385,0.24332754,0.22117649,0.19150467,0.16232587,0.13909476,0.12477579,0.12097608,0.12708311,0.13907616,0.14981967,0.1521422,0.14254424,0.122785605,0.099147104,0.0798471,0.072686546,0.08159756,0.10344536,0.12758423,0.14102127,0.13692704,0.11842545,0.09566802,0.078246415,0.07116392,0.07431764,0.084584326,0.09776328,0.110309936,0.12032616,0.12682308,0.12895906,0.1262728,0.11951095,0.11017627,0.09869116,0.08431783,0.06678014,0.048431564,0.03308948,0.023595981,0.019693831,0.019455997,0.025173351,0.048383217,0.11031593,0.2232045,0.3741665,0.51724225,0.6044982,0.61289495,0.5607551,0.48282123,0.40857103,0.34805998,0.30072775,0.26260448,0.23070483,0.20188434,0.1737964,0.14664856,0.12485538,0.11506123,0.121783435,0.14284188,0.16890363,0.18913831,0.19744718,0.1960171,0.19041532,0.18552494,0.18141395,0.17629153,0.1678798,0.15710497,0.14730142,0.14275803,0.14474668,0.15159346,0.16180736,0.17598774,0.1942045,0.21117364,0.21968086,0.21709645,0.21044129,0.20836008,0.21221113,0.2123981,0.19848202,0.16939916,0.13720365,0.11710975,0.117398895,0.13412014,0.15808056,0.18165584,0.20285775,0.22198556,0.23807926,0.24735837,0.24424078,0.22614686,0.19676952,0.1673985,0.14933552,0.14689939,0.15478854,0.1647105,0.17325048,0.18465124,0.20871411,0.25298432,0.3160051,0.38339308,0.43511835,0.45771167,0.45223653,0.4308417,0.40600553,0.3836483,0.36230853,0.3391664,0.31554914,0.30050826,0.30428365,0.32997432,0.36661184,0.39802003,0.41243145,0.41042957,0.39821875,0.38190484,0.36367533,0.34476492,0.32784912,0.3164305,0.31322482,0.31752554,0.32632875,0.3352599,0.34051695,0.33882692,0.32908532,0.31516942,0.3073999,0.31702468,0.34737468,0.38829628,0.42333338,0.4404777,0.43968973,0.42828658,0.41347826,0.3975116,0.37858608,0.35562193,0.33113503,0.3133886,0.3101878,0.3238666,0.34567368,0.3633341,0.3678105,0.3601844,0.3464824,0.3332722,0.32390454,0.3204347,0.3236661,0.33239058,0.34126392,0.34288383,0.33090034,0.30573452,0.2748742,0.25193974,0.24940045,0.27485636,0.32495794,0.38714775,0.44207215,0.47522005,0.48263147,0.47257483,0.45592442,0.43927804,0.42229235,0.40266016,0.38196602,0.36796978,0.36941078,0.38752046,0.4115642,0.42669025,0.4240234,0.40736127,0.38668263,0.37107086,0.36266407,0.35839185,0.35348952,0.34568715,0.33640313,0.32847777,0.32358542,0.32105082,0.31989077,0.3198777,0.32293454,0.33198005,0.35034057,0.37774608,0.40901366,0.43457517,0.44716904,0.4454937,0.43477622,0.42015097,0.4033322,0.38210428,0.35741606,0.33627725,0.33042923,0.3458012,0.3770604,0.40897536,0.42771855,0.42830896,0.4151386,0.3956102,0.37496814,0.35611734,0.34135213,0.3342031,0.33599743,0.34412766,0.35025227,0.34673572,0.32994476,0.3043768,0.2782363,0.26122856,0.25947532,0.2733881,0.29615495,0.31643072,0.32527295,0.32053712,0.30767122,0.29393724,0.28395382,0.27865085,0.2776054,0.2822181,0.2925971,0.30518076,0.3107928,0.3029686,0.2839013,0.2649558,0.2561864,0.25764373,0.26019803,0.25456288,0.23956616,0.22129773,0.20660324,0.19735692,0.19101138,0.18582445,0.1839879,0.18896247,0.20099638,0.21586615,0.23107441,0.24714406,0.26618406,0.28419435,0.2941301,0.29041156,0.2754309,0.25539806,0.23476548,0.21244985,0.18600607,0.15844549,0.13980846,0.14006872,0.15896879,0.18426536,0.20061827,0.20078778,0.18833224,0.17184545,0.15740858,0.14703406,0.1415304,0.14511897,0.16463482,0.20388018,0.2562148,0.30531672,0.33496866,0.3410853,0.33310735,0.32546666,0.32592627,0.33344468,0.34138283,0.34410968,0.33851483,0.32533267,0.30781814,0.29080537,0.27704355,0.2653984,0.2524832,0.23919038,0.23447289,0.24975975,0.287587,0.33503234,0.37292287,0.3890669,0.38617167,0.37507966,0.36552027,0.36091053,0.35990795,0.36104688,0.36455205,0.3718429,0.3824346,0.3929437,0.39989915,0.4019926,0.4011011,0.3990648,0.397419,0.39609134,0.39416537,0.38908088,0.37954107,0.36668178,0.3537053,0.34229478,0.33259657,0.3252648,0.3234928,0.33076897,0.34816203,0.37283614,0.3994868,0.42208496,0.4364893,0.44166636,0.44004795,0.4349831,0.4290893,0.42192748,0.41143098,0.39570794,0.37840542,0.3678516,0.37256232,0.39167956,0.41521147,0.43032005,0.43187764,0.4235494,0.4137461,0.4083524,0.40843153,0.41079816,0.41199127,0.4101778,0.4058844,0.39990458,0.3937604,0.3886704,0.38600358,0.384928,0.38454965,0.3832722,0.3803674,0.37359643,0.36238107,0.34821597,0.3354371,0.32700038,0.32295796,0.32085514,0.31793442,0.3129851,0.30628705,0.29909143,0.29172218,0.28303692,0.27137098,0.2562298,0.24023288,0.228601,0.2285931,0.24423654,0.27360424,0.30636916,0.3310355,0.34012482,0.3355215,0.3240088,0.31345287,0.3079774,0.30803564,0.3113992,0.31464303,0.3145206,0.3090011,0.2992957,0.28993735,0.28636983,0.29058936,0.29898608,0.3049023,0.3035195,0.29539362,0.28511384,0.27729666,0.27269733,0.26785028,0.2575955,0.23841459,0.21108983,0.18220371,0.1638758,0.17039752,0.20927672,0.27467313,0.3461448,0.40155157,0.42822996,0.42870235,0.41072655,0.37803864,0.32971048,0.27011266,0.21804087,0.1981582,0.22454222,0.28596973,0.35499716,0.40561828,0.42877066,0.42994574,0.41948688,0.40372542,0.38410723,0.36005118,0.33515802,0.3161458,0.3107359,0.31775162,0.33002758,0.33700705,0.33675537,0.33460522,0.34355545,0.37151316,0.4174428,0.46475396,0.49554572,0.49950528,0.48373583,0.46002078,0.43415463,0.40023255,0.3526342,0.29969963,0.26521072,0.2716321,0.32063988,0.38915563,0.44713232,0.4767715,0.47908798,0.4646748,0.4429961,0.42003503,0.3996794,0.38841793,0.39068237,0.40786016,0.43212405,0.4536573,0.4617208,0.45360494,0.4323049,0.41078043,0.40238735,0.41499004,0.4404912,0.46347272,0.46996006,0.45820156,0.43343595,0.4027861,0.3688363,0.33072484,0.2871457,0.24152671,0.20375638,0.18513413,0.18970187,0.20981072,0.23194498,0.24578695,0.24958068,0.24587744,0.23723727,0.22252743,0.20100026,0.17485923,0.15334494,0.1463806,0.1580502,0.17971079,0.19890504,0.20865421,0.21345995,0.21974175,0.22803427,0.23201168,0.22633581,0.21225299,0.196205,0.18530627,0.18283235,0.18754776,0.19479786,0.20054841,0.20389873,0.20809792,0.21634905,0.22946411,0.24433982,0.25813195,0.26997796,0.2815857,0.29399267,0.30607116,0.3152953,0.31956998,0.3189015,0.3138872,0.30499697,0.28992105,0.26747552,0.24046029,0.22140817,0.22404172,0.2558368,0.30941662,0.3722128,0.43187168,0.48150134,0.5139201,0.52422506,0.51041746,0.47535777,0.423687,0.36477873,0.3146138,0.29172364,0.30332783,0.3387796,0.37675914,0.4023013,0.4136908,0.4174104,0.41935095,0.4223013,0.428714,0.44015637,0.45601645,0.4722042,0.48431155,0.49031353,0.49112663,0.4895616,0.48740408,0.48477307,0.4801973,0.47329482,0.46476153,0.45525435,0.44365764,0.42905506,0.4118812,0.39400113,0.375567,0.35488176,0.32915974,0.2971487,0.2598484,0.22125603,0.18699832,0.1620334,0.14775153,0.14161567,0.13848059,0.13283606,0.1206823,0.10136825,0.078323096,0.05701569,0.041775305,0.03465588,0.03816126,0.058147386,0.09990258,0.16053744,0.22367592,0.26917538,0.2867576,0.28543445,0.28442106,0.30024156,0.33669963,0.38661984,0.43619514,0.4699949,0.47514018,0.4461961,0.38955626,0.32233265,0.26545796,0.23232774,0.22362347,0.23024774,0.24320476,0.25847492,0.27555177,0.29243132,0.3041428,0.30636147,0.29821965,0.2836837,0.26693904,0.2510701,0.23611175,0.22342344,0.21520425,0.21485575,0.22201113,0.23242243,0.23926206,0.23878449,0.23281594,0.22721355,0.22666712,0.23058878,0.23390882,0.23054342,0.21856295,0.20130865,0.18703194,0.18300986,0.19168265,0.2078477,0.22345944,0.23254204,0.23501666,0.23538482,0.23904292,0.24822927,0.25924703,0.26546478,0.26289746,0.25458005,0.24726777,0.24539532,0.24809487,0.25168714,0.25355944,0.2536331,0.2537565,0.2548062,0.25487897,0.24809784,0.2295903,0.19952804,0.16764526,0.15056238,0.16727275,0.22900541,0.32990363,0.4451702,0.5428691,0.60280305,0.62541753,0.6240408,0.60902125,0.58046985,0.534445,0.47324166,0.40812895,0.35232165,0.31250975,0.2870961,0.2725376,0.27016184,0.28650698,0.32430768,0.37411523,0.41543123,0.4296356,0.41220832,0.3732055,0.32768318,0.28566748,0.25073972,0.22335978,0.20454466,0.19552623,0.19614898,0.20423461,0.21653856,0.23011738,0.24238443,0.25104156,0.2541733,0.25180396,0.24627446,0.24146247,0.23973304,0.24100888,0.24348074,0.24543321,0.24450462,0.23586546,0.21415573,0.17766802,0.13292386,0.09081682,0.06333374,0.059987973,0.09075194,0.1599535,0.26052305,0.36731222,0.4489858,0.47947383,0.45352158,0.38531265,0.3078517,0.25511843,0.24955936,0.2880709,0.3523587,0.4190134,0.47314772,0.505709,0.5164356,0.51001096,0.49640918,0.48175347,0.4678189,0.44975877,0.4233867,0.38600242,0.3449467,0.31253144,0.30152634,0.31015763,0.32593793,0.334157,0.3314636,0.32312217,0.3153962,0.30896983,0.30255935,0.29838982,0.3064355,0.33679768,0.39175045,0.45633575,0.5079618,0.5265345,0.5084239,0.46355882,0.41249874,0.37599155,0.36736727,0.3843281,0.41141748,0.43135157,0.43657458,0.43158105,0.42589322,0.4259855,0.43256024,0.44162324,0.44878682,0.449648,0.44127584,0.42093888,0.3896002,0.3517247,0.3149213,0.2852753,0.26631764,0.25853935,0.26101437,0.27186486,0.29038945,0.31713355,0.3517246,0.38943088,0.4221749,0.44307688,0.44872463,0.43908048,0.41640687,0.388527,0.36552298,0.3553954,0.35600615,0.36002946,0.35940993,0.35265815,0.342298,0.33168867,0.3216639,0.31098652,0.30379736,0.30942914,0.3381313,0.3864142,0.4383388,0.47466612,0.48822406,0.4834138,0.46852556,0.44792524,0.42366818,0.4001968,0.38593504,0.3888948,0.40982306,0.44044852,0.46648464,0.47625697,0.46372476,0.4329535,0.39648393,0.37368557,0.3790512,0.41239643,0.4580132,0.4963918,0.5173394,0.5213887,0.512747,0.49233973,0.4603765,0.4232224,0.39597237,0.39413044,0.4214033,0.4649984,0.50480527,0.527174,0.53182864,0.52691627,0.5207419,0.5155249,0.5092359,0.4988135,0.48736656,0.4809583,0.48543918,0.49489936,0.49769485,0.4807572,0.44503722,0.40177155,0.3707219,0.36536732,0.38865933,0.42916703,0.46991932,0.49780783,0.5097549,0.5106887,0.50502115,0.49295697,0.47064278,0.43921077,0.40827882,0.39398873,0.4057816,0.4389374,0.4765103,0.5027782,0.51224345,0.5097105,0.5032385,0.4979616,0.49534127,0.49388802,0.49253127,0.4904156,0.4879155,0.48461244,0.4801499,0.4733784,0.4640415,0.4538565,0.44954625,0.45920548,0.48655787,0.5233794,0.5550561,0.5688284,0.5636756,0.54722065,0.5306776,0.5211527,0.5198576,0.52191377,0.5203276,0.50970036,0.48947123,0.46318427,0.43665195,0.41459832,0.39919925,0.38986263,0.38445207,0.38125876,0.3794805,0.38021532,0.3843933,0.39147246,0.39756247,0.3976374,0.3899566,0.37883523,0.37388563,0.38206807,0.4027168,0.4246218,0.43460467,0.42477056,0.39908028,0.36819467,0.34227416,0.32477656,0.31399834,0.30757904,0.30442655,0.3042551,0.30694,0.31323108,0.32365486,0.33559024,0.344106,0.34572116,0.34238982,0.33794284,0.33368528,0.3265414,0.3141098,0.29782155,0.28302836,0.2742814,0.27361465,0.27889657,0.28596726,0.2893057,0.28693902,0.28093463,0.2769446,0.27809262,0.28528568,0.29813978,0.31875888,0.34803307,0.38283375,0.41436026,0.43293896,0.43359116,0.4188929,0.39712152,0.376677,0.362043,0.35281053,0.34632394,0.34047213,0.3345149,0.32886884,0.32343492,0.3180594,0.31195155,0.30544713,0.2988207,0.292968,0.28787625,0.28390458,0.2809371,0.2790653,0.27767882,0.27641347,0.2748452,0.27291498,0.27020645,0.2664872,0.26168504,0.25643972,0.25147834,0.2474054,0.24429435,0.24241799,0.24329273,0.2504662,0.268512,0.29905728,0.33730277,0.3717763,0.3907163,0.38830125,0.3673196,0.3352311,0.30006596,0.2678265,0.24234271,0.22486283,0.21424556,0.20776759,0.2028266,0.19792914,0.1929187,0.18838902,0.18509509,0.18347585,0.18336691,0.18405692,0.18467508,0.18476944,0.18445511,0.18405692,0.18352318,0.18226236,0.17923033,0.17329119,0.16349252,0.14946437,0.13180621,0.1118552,0.09146779,0.07217306,0.055384103,0.041946802,0.03245792,0.026648836,0.02367975,0.022161795,0.020923356,0.019517004,0.019620622,0.026297659,0.048270494,0.093215965,0.16064787,0.23726432,0.3028438,0.3421072,0.3534752,0.34651184,0.3328986,0.3195639,0.30849373,0.2997427,0.2933267,0.2886938,0.28445122,0.2791246,0.27257547,0.26566777,0.25934598,0.253803,0.24917276,0.24563842,0.24322541,0.24100663,0.23753507,0.23161153,0.22326905,0.2136419,0.20441777,0.19680299,0.19135945,0.18808341,0.18677896,0.18683298,0.1871836,0.18674152,0.18503879,0.18224007,0.17859273,0.17405845,0.16903757,0.16485776,0.16371173,0.16694808,0.17427897,0.18370439,0.19352883,0.20306204,0.21248068,0.22074705,0.22541584,0.22397195,0.21642488,0.20578505,0.19611712,0.1898217,0.18662457,0.18462192,0.18222333,0.17874776,0.17449524,0.16946082,0.16351713,0.15615912,0.14779991,0.13937593,0.13225342,0.12697375,0.12330872,0.12033636,0.11710874,0.112883486,0.10726146,0.10004911,0.0913383,0.08257245,0.07770347,0.08294005,0.10235959,0.13361752,0.1671259,0.19399782,0.21350168,0.23526768,0.26864922,0.3136172,0.3574464,0.386269,0.39379844,0.38560593,0.37068817,0.356192,0.34406593,0.33469298,0.32822505,0.32541588,0.32592866,0.32786307,0.3281294,0.32419643,0.31543314,0.30319488,0.2899107,0.27780905,0.2684476,0.26201293,0.25745115,0.25264594,0.24603152,0.23772444,0.22950037,0.22324802,0.2191544,0.21610631,0.21258776,0.20824172,0.20325147,0.19857152,0.19517016,0.1940639,0.19478525,0.19569238,0.19506395,0.19326113,0.19222637,0.19354545,0.19654411,0.19870973,0.197309,0.19082181,0.17995423,0.1681502,0.16134764,0.16499478,0.1802572,0.20150757,0.21926211,0.22564904,0.21915646,0.20437473,0.18839313,0.17683871,0.17204398,0.17342104,0.1791433,0.18715274,0.19668609,0.20803104,0.2229755,0.24141335,0.25967598,0.27019894,0.26765597,0.25348213,0.23548378,0.2213068,0.21370442,0.21194752,0.21532881,0.22449662,0.23836963,0.25499567,0.27454373,0.30358028,0.34820223,0.4063641,0.4626917,0.5001159,0.51015455,0.4984336,0.47544882,0.449827,0.42559147,0.40532115,0.39085078,0.38171938,0.37487844,0.3670462,0.35829237,0.351841,0.3507397,0.3552153,0.36427262,0.3797147,0.40485397,0.43957648,0.47519645,0.49923596,0.50299144,0.48794731,0.46270624,0.43728444,0.41762543,0.4048802,0.39698157,0.39121675,0.3855779,0.37898147,0.37073734,0.360615,0.34923014,0.3384681,0.33105132,0.32924548,0.33349526,0.34145498,0.3489708,0.35124198,0.3450097,0.3290132,0.30543423,0.2789354,0.25556073,0.23893492,0.228885,0.22209942,0.21603824,0.21151312,0.2124265,0.2213854,0.23578207,0.24690254,0.24591948,0.22993638,0.20500956,0.18130617,0.16686188,0.16290487,0.16359809,0.15995853,0.14533192,0.120372765,0.091772296,0.06783924,0.053429615,0.049271185,0.05290458,0.060420405,0.06803492,0.07379051,0.077834666,0.08086448,0.08334848,0.087195784,0.09886053,0.12789135,0.18009974,0.24990153,0.32075897,0.37520668,0.40481398,0.41311505,0.4088281,0.40096977,0.396656,0.40311077,0.42429695,0.45780388,0.4932045,0.51962113,0.5317373,0.5323858,0.5260011,0.5146044,0.49716783,0.47398698,0.44815528,0.42349863,0.40097848,0.37862575,0.35452935,0.33089045,0.31270054,0.30478445,0.30667156,0.31366828,0.3189179,0.3178979,0.3094354,0.2953039,0.27846727,0.26065242,0.24190451,0.22097276,0.19822681,0.17660277,0.1609851,0.15502577,0.15890999,0.16890289,0.17970268,0.18713446,0.19002861,0.18941729,0.18686573,0.18290359,0.17713827,0.16925663,0.15977184,0.14987566,0.1405847,0.13243884,0.1256957,0.12099275,0.119341634,0.122409485,0.13147287,0.14656991,0.16411729,0.1778488,0.18125604,0.1724882,0.15494485,0.13488923,0.11728332,0.104958124,0.10020081,0.105255425,0.120877266,0.14342922,0.16533029,0.17726822,0.17254643,0.15199284,0.1266623,0.117352106,0.14193957,0.20388424,0.28370053,0.35364297,0.39356396,0.40416825,0.39677346,0.38106593,0.3567784,0.32079104,0.2747914,0.22780828,0.19262044,0.18238606,0.20929222,0.27601638,0.36890653,0.45616826,0.5072505,0.5092689,0.47371367,0.42189494,0.37061906,0.32575473,0.28586105,0.24864332,0.21693937,0.20053111,0.21514094,0.2691268,0.35551858,0.44569945,0.50911343,0.5266251,0.50333947,0.45413947,0.39723405,0.34699655,0.3203303,0.3281674,0.36854145,0.41976535,0.456411,0.46340463,0.44582316,0.41727284,0.38976404,0.36658046,0.34664977,0.32752085,0.3070464,0.28205535,0.25014207,0.21226746,0.1738745,0.14136939,0.11756424,0.10109491,0.088763036,0.07897097,0.071113095,0.06528969,0.060991015,0.057830263,0.05480731,0.05088761,0.046048325,0.042766783,0.04531743,0.056372996,0.07508769,0.09835917,0.12548076,0.15748738,0.19358094,0.2282147,0.25780177,0.2881821,0.33084235,0.3898882,0.4518032,0.4957334,0.5085121,0.49348402,0.46250585,0.4257859,0.38875952,0.35332546,0.32126534,0.29416534,0.2766925,0.27802882,0.3078508,0.36632657,0.43590632,0.4890449,0.5051616,0.48422804,0.44252136,0.39746365,0.3576257,0.32244745,0.29022574,0.26103726,0.23976235,0.2351488,0.26004326,0.32154652,0.41163358,0.5035557,0.56670064,0.5841096,0.5593712,0.50889546,0.45098197,0.4044489,0.38592076,0.40315154,0.44533804,0.48746204,0.5083382,0.5041572,0.4862738,0.4658645,0.44481882,0.41884327,0.38511455,0.34729967,0.3125818,0.28787467,0.2753184,0.27168545,0.27033982,0.2665732,0.26091194,0.2596353,0.26803198,0.2861161,0.30466506,0.3123227,0.3005406,0.2707944,0.2316194,0.1963802,0.17866845,0.18922938,0.2313087,0.2944851,0.3579978,0.39848784,0.40419385,0.3764528,0.32937637,0.28220406,0.25747034,0.26972145,0.31787142,0.38022634,0.4287145,0.44369343,0.42401657,0.3808327,0.32918072,0.2810453,0.24363172,0.21912746,0.20566094,0.19981515,0.19858448,0.20038791,0.20461877,0.2111299,0.21953808,0.22816336,0.2345983,0.23685168,0.23583245,0.23462933,0.23710732,0.24497569,0.2572699,0.2710773,0.28271475,0.28910086,0.2880346,0.28054628,0.2705677,0.26368138,0.261629,0.26124227,0.25658527,0.24534737,0.23013823,0.21593982,0.20442052,0.19361693,0.18053348,0.16636947,0.15582813,0.15407585,0.16118656,0.17178099,0.17786919,0.17417158,0.16090365,0.14357866,0.13050604,0.1301539,0.14803259,0.18384916,0.22977988,0.2724456,0.2984066,0.2992222,0.27557638,0.23580652,0.19397491,0.16144872,0.14375949,0.13750799,0.1373554,0.13810693,0.13831235,0.13691217,0.13400823,0.12930912,0.12374002,0.118724436,0.116703354,0.119220905,0.1259964,0.13436301,0.141203,0.1449761,0.1469599,0.1510155,0.16148518,0.18118344,0.20853777,0.23767243,0.25959992,0.2673802,0.25951695,0.24121171,0.22037925,0.20321463,0.19159418,0.1840537,0.17830841,0.17319037,0.16877067,0.16524474,0.16211623,0.15861076,0.15450342,0.14997716,0.14514065,0.13986205,0.13465816,0.13062435,0.12881309,0.12931949,0.13312484,0.14376715,0.16793394,0.20850416,0.25882608,0.30060247,0.3159945,0.29925916,0.26203558,0.22293323,0.19504237,0.18021083,0.1733434,0.16957258,0.16657121,0.16341163,0.158639,0.15111752,0.14105968,0.13011506,0.12023154,0.11309638,0.10962269,0.10957936,0.11088506,0.11080173,0.10747426,0.101660214,0.09619223,0.095102526,0.10171918,0.11729536,0.13952236,0.16323803,0.18262345,0.19386466,0.19616692,0.19113362,0.18197463,0.17215306,0.16411975,0.15815367,0.15323858,0.1486438,0.14472175,0.14151548,0.13781218,0.13147622,0.12190268,0.11059004,0.10062602,0.0943946,0.09350678,0.098498605,0.109006114,0.12122643,0.12875688,0.12506847,0.10971299,0.08811635,0.0681763,0.053859364,0.045460705,0.04294164,0.049644917,0.06995166,0.104709566,0.14766978,0.18879978,0.21962331,0.23886432,0.25084805,0.26167417,0.27246156,0.27962327,0.27739894,0.26538405,0.24847335,0.23455662,0.22722648,0.22534253,0.22454093,0.2217577,0.21585548,0.20767154,0.19881473,0.1913405,0.185943,0.18222271,0.17928188,0.17908074,0.18352354,0.19335862,0.20418148,0.21259718,0.2165557,0.21845128,0.21965897,0.22139122,0.2232936,0.22456203,0.22283079,0.2139135,0.19562598,0.17059793,0.14843482,0.1391296,0.14626184,0.1642738,0.18318899,0.19735618,0.20607938,0.21295024,0.21893843,0.2233556,0.22317408,0.2172515,0.20646198,0.19371434,0.18135686,0.17007458,0.1594326,0.15020232,0.1446894,0.14616358,0.1565746,0.17617954,0.2010053,0.22319923,0.23284608,0.2254858,0.20435905,0.17864065,0.1558696,0.13997704,0.13181673,0.13166963,0.13845037,0.1488771,0.15858918,0.1644155,0.16603541,0.16526389,0.16508077,0.16879928,0.17826003,0.19242834,0.20653109,0.215936,0.21888895,0.21842957,0.21943252,0.22652648,0.24165533,0.26269436,0.28378356,0.29791436,0.30261815,0.30049896,0.29778978,0.29820383,0.30323336,0.31104037,0.32013044,0.32777795,0.33378842,0.33899152,0.34732032,0.36083052,0.379401,0.3977858,0.40844047,0.40445134,0.38421425,0.35395756,0.32249522,0.29727247,0.27892736,0.26805472,0.2649465,0.27229807,0.28671446,0.30256,0.31272435,0.31745827,0.3198143,0.32390645,0.32906953,0.3325416,0.33172116,0.3256041,0.31569907,0.30213,0.28778374,0.27756223,0.2861081,0.32490027,0.39456534,0.47183177,0.5282143,0.54585934,0.53216004,0.5057937,0.48346028,0.46965465,0.4602045,0.44852093,0.4324565,0.41924897,0.42043006,0.44204345,0.4753821,0.5035359,0.51460916,0.50962937,0.49767688,0.48529783,0.47273064,0.45587596,0.43249658,0.4067626,0.3898221,0.3921083,0.41348496,0.43959284,0.45389846,0.44751665,0.42518306,0.3962513,0.37485588,0.37333485,0.40004125,0.44685507,0.49472585,0.5232525,0.52707034,0.5125827,0.49045363,0.46322393,0.4271845,0.37961173,0.330667,0.3037424,0.3185814,0.3742329,0.44319025,0.49596438,0.51766056,0.51658076,0.50555426,0.4938115,0.4802854,0.46054113,0.4300393,0.39366698,0.3658142,0.36285004,0.385898,0.41764876,0.43461892,0.42530942,0.39725888,0.36941424,0.36309445,0.38876435,0.44235945,0.5024168,0.5464998,0.56073433,0.54981536,0.5254521,0.49944487,0.4715437,0.43563405,0.3874986,0.34121034,0.32107297,0.34471965,0.4008397,0.4598888,0.49524662,0.50277084,0.49319288,0.47889528,0.46452892,0.44909608,0.42981425,0.40715268,0.38763854,0.38174066,0.39434478,0.41722456,0.43264842,0.42538014,0.3944168,0.3532201,0.32524607,0.32912102,0.36927092,0.4278032,0.4785781,0.5008945,0.49395514,0.46960905,0.44316968,0.4210275,0.40170613,0.38179263,0.36630943,0.3662195,0.38799548,0.42255178,0.45237204,0.4663674,0.46855757,0.46977708,0.47541746,0.48097336,0.47740698,0.45844626,0.42629457,0.39148512,0.36699983,0.3582814,0.36051288,0.36628532,0.37445286,0.39014432,0.41590714,0.4481542,0.47955203,0.5039692,0.5168349,0.51526195,0.5000014,0.47588816,0.4494569,0.42536607,0.40564182,0.39132586,0.3835093,0.38449565,0.39611533,0.41594896,0.4351599,0.44246557,0.43523443,0.4223325,0.4165746,0.42072093,0.42450538,0.41493282,0.38793853,0.35376063,0.33027044,0.3335476,0.36754718,0.42061397,0.47278848,0.50704736,0.51849705,0.51167077,0.4964664,0.48298898,0.4783869,0.4824992,0.48743865,0.48422942,0.46975145,0.44923827,0.431793,0.42493355,0.43051517,0.44364345,0.4565934,0.4650536,0.47057226,0.47681376,0.4824855,0.48290193,0.47393656,0.4567449,0.43388018,0.40681136,0.37594914,0.34398726,0.3179903,0.3084586,0.32543847,0.3707185,0.43165076,0.48324728,0.500944,0.47475943,0.41646945,0.35490248,0.32241496,0.33592978,0.38647094,0.44443563,0.48148286,0.48462918,0.45702615,0.40493774,0.33568135,0.260941,0.20151211,0.17577754,0.18713887,0.21808134,0.24486963,0.252626,0.24381797,0.22893669,0.21682374,0.20884956,0.2022193,0.19441856,0.18599083,0.18015255,0.17989095,0.18552978,0.1942348,0.20230943,0.20710753,0.20755269,0.2033091,0.19492602,0.18435758,0.17494197,0.16994846,0.17088477,0.177046,0.18641897,0.19690867,0.20720316,0.21648352,0.22475873,0.23216672,0.23955752,0.24701615,0.2542226,0.25909495,0.25994277,0.2558304,0.24920367,0.24411458,0.24506693,0.25351295,0.26751864,0.28304157,0.29703125,0.30918983,0.31995666,0.3269274,0.3246728,0.3095063,0.2855566,0.26303616,0.25145495,0.25329635,0.26571426,0.28733182,0.32151815,0.3741279,0.44362652,0.51738673,0.573968,0.59746546,0.58524483,0.54925877,0.5049594,0.46536633,0.43847072,0.43125197,0.4483237,0.48961854,0.5463583,0.6029443,0.6413842,0.6487302,0.6237425,0.5782718,0.5315363,0.4981885,0.48142585,0.47410652,0.4675064,0.45756188,0.44691828,0.43865576,0.43339387,0.4256569,0.41213998,0.39117578,0.36653993,0.34221303,0.32814327,0.33651423,0.37390056,0.42932883,0.47768083,0.49833524,0.4887931,0.4634098,0.4374242,0.4158834,0.3928735,0.3619851,0.32895264,0.31371114,0.3352716,0.3929913,0.4615829,0.51211214,0.5309565,0.52672404,0.5147365,0.50602025,0.50257474,0.50251675,0.50377315,0.5061884,0.50904495,0.5095465,0.50133616,0.482823,0.45887053,0.4421219,0.44002345,0.4541733,0.4782392,0.50580543,0.52799046,0.53687125,0.528313,0.5067595,0.48240796,0.463555,0.4504746,0.4366497,0.4159062,0.39262506,0.38133147,0.39633405,0.43606105,0.48179206,0.5126,0.5202839,0.5131751,0.5038317,0.50047976,0.5005475,0.4967903,0.48276642,0.4642369,0.4526827,0.45753935,0.46977425,0.47363785,0.45542428,0.419032,0.3775177,0.35020924,0.3532484,0.39174554,0.4524354,0.5068541,0.5329838,0.5279167,0.5081951,0.4894607,0.4764044,0.46215424,0.44184348,0.42038575,0.41319966,0.4325149,0.4766109,0.52622724,0.5601285,0.56769466,0.5548294,0.53307825,0.5118039,0.49420762,0.48155138,0.47436857,0.47259235,0.47230354,0.46685186,0.44981995,0.42185473,0.39042652,0.36506703,0.35052595,0.34826684,0.36032358,0.38781533,0.4242477,0.45466474,0.46707928,0.46266297,0.4540331,0.45143595,0.45442495,0.4541533,0.44217372,0.4160153,0.37947342,0.3416157,0.31295213,0.30267373,0.31429806,0.34656712,0.39280462,0.44262457,0.4820887,0.4988623,0.48784307,0.45480618,0.41421995,0.38078395,0.36174312,0.35433903,0.35231993,0.35221994,0.35244343,0.34723452,0.32755125,0.29144678,0.2538533,0.23775761,0.25550404,0.29337355,0.32327452,0.32400957,0.2988799,0.26657978,0.24448363,0.23382302,0.22560199,0.21082228,0.19229425,0.17993675,0.18343736,0.20192753,0.22693644,0.24788074,0.25828996,0.25608462,0.24204381,0.22050439,0.19876446,0.18844603,0.20238537,0.25110483,0.33142298,0.42300162,0.4928615,0.51646227,0.48762202,0.42289534,0.3490927,0.3002018,0.30043724,0.35541305,0.4397684,0.5169151,0.55757797,0.557368,0.52569085,0.4757998,0.4170988,0.35886046,0.3093518,0.27297506,0.2472111,0.22618313,0.20529866,0.18471885,0.16732626,0.15733205,0.1565379,0.16434915,0.17569576,0.18581246,0.19178404,0.19586085,0.20138198,0.21103053,0.22385634,0.23562352,0.23986109,0.23236705,0.21499102,0.19495982,0.17829393,0.16646469,0.15931375,0.1598738,0.17174868,0.19152929,0.20893534,0.21544081,0.2134381,0.21163492,0.21442218,0.215985,0.20662384,0.18293567,0.15160479,0.12539545,0.114314295,0.12043492,0.13768315,0.15783168,0.17564167,0.19027422,0.20239407,0.2112356,0.21402933,0.2068532,0.18751885,0.15861186,0.12921698,0.11006739,0.10634407,0.11342571,0.1224261,0.1273725,0.13002937,0.13729702,0.15892701,0.202285,0.26651177,0.33788645,0.395085,0.42314672,0.42254773,0.4060043,0.3851433,0.3616508,0.3290254,0.2832602,0.233582,0.20269857,0.21188666,0.2633878,0.3342214,0.3939376,0.4239482,0.42730865,0.41710794,0.40478513,0.39400002,0.38399446,0.3734798,0.36245644,0.35323432,0.34867167,0.35035643,0.3551452,0.35630885,0.34654245,0.32404733,0.29534212,0.27411067,0.2724872,0.29277086,0.3238949,0.3505484,0.36248836,0.35974288,0.34632397,0.3247988,0.2953959,0.26021808,0.22730772,0.20906965,0.2178485,0.25690347,0.31598616,0.3739252,0.41159996,0.42294297,0.41607752,0.4038289,0.39423296,0.388172,0.38275412,0.37565348,0.36664507,0.35697684,0.3478953,0.33974144,0.332595,0.32656434,0.32278314,0.323149,0.33129743,0.34959576,0.37630978,0.4025838,0.41822743,0.41811636,0.4061053,0.38900647,0.3698909,0.3464202,0.3165466,0.2857088,0.26813793,0.27881882,0.32167554,0.3823571,0.43673024,0.4656842,0.46733308,0.4533594,0.43811843,0.42894626,0.42455724,0.4197632,0.41026923,0.39707753,0.38449502,0.3770655,0.37356767,0.36929694,0.3594483,0.3458123,0.33532175,0.33748743,0.35665807,0.38890386,0.42110428,0.43950605,0.43706563,0.41710034,0.38624868,0.3482871,0.3031242,0.25416735,0.21328527,0.19840239,0.22161062,0.27905145,0.34983447,0.40864134,0.44021416,0.44571134,0.43624678,0.42238554,0.40884176,0.39525366,0.3804762,0.36422274,0.34927145,0.33827755,0.33283338,0.3284377,0.3195279,0.30140245,0.27699372,0.25341046,0.241566,0.24906065,0.27694133,0.31452492,0.3455691,0.35667005,0.34669054,0.3241268,0.3007834,0.28391138,0.27589694,0.27630657,0.286044,0.30493584,0.32829556,0.3443108,0.34264755,0.32332167,0.29868218,0.28152648,0.27409256,0.2677171,0.25382945,0.23467928,0.22423731,0.24084155,0.29219222,0.36774483,0.43863449,0.4762545,0.46657395,0.4191818,0.35773775,0.30950758,0.2924299,0.3089758,0.3447145,0.37778234,0.39183939,0.38456178,0.36381158,0.3365835,0.3033377,0.26242217,0.22175683,0.19904102,0.20896137,0.24632287,0.28666267,0.30490497,0.29337838,0.26349828,0.23148127,0.20680243,0.19038002,0.18275923,0.19016202,0.22451222,0.29151687,0.38110295,0.46601245,0.52064806,0.5356097,0.5229782,0.50112396,0.48432577,0.4762859,0.47428146,0.47140017,0.46169236,0.44274953,0.4177896,0.39274558,0.37286898,0.3580526,0.34367618,0.32652858,0.31388056,0.3219287,0.3611146,0.4218284,0.47722545,0.50507087,0.50321054,0.48898733,0.480147,0.48337284,0.4912775,0.49494937,0.49204662,0.49069992,0.4986898,0.516036,0.53335994,0.542753,0.5435775,0.5414975,0.5420198,0.5485757,0.5634127,0.5867056,0.6137889,0.6357193,0.6444569,0.63887984,0.6249687,0.61109513,0.6020314,0.5973621,0.59471166,0.5925429,0.590228,0.58568525,0.5768929,0.56407,0.5504155,0.5389821,0.53079474,0.5238753,0.51321685,0.4922209,0.45999017,0.4265726,0.4094697,0.41759944,0.44330776,0.46780145,0.47927523,0.47953936,0.4797558,0.48867047,0.5076328,0.53123134,0.5505121,0.5583984,0.5523358,0.5362051,0.51627964,0.49801973,0.4847391,0.4782569,0.48098493,0.49279547,0.51014924,0.5243694,0.52799624,0.51949215,0.5047499,0.49162045,0.48370513,0.4800503,0.47774413,0.47571638,0.47413895,0.47339642,0.47291407,0.47123954,0.46676815,0.4571785,0.4403347,0.41663006,0.39366361,0.38708135,0.41079307,0.46549866,0.5316591,0.5835457,0.6041823,0.59784204,0.5815339,0.5730488,0.57927036,0.5959098,0.6142101,0.62777543,0.6356675,0.6398585,0.64261943,0.64553314,0.6491275,0.65337896,0.6569638,0.6588838,0.65835136,0.65566367,0.6507208,0.6440123,0.63496345,0.62157995,0.596782,0.5517326,0.4813,0.39570627,0.32118136,0.29118726,0.3215487,0.39787212,0.47937402,0.53029394,0.5404646,0.5264199,0.5072302,0.4851869,0.4491633,0.3912966,0.32683098,0.28558198,0.29259542,0.34390637,0.41178957,0.46537772,0.4922854,0.49840817,0.49635947,0.49363005,0.49320337,0.49504593,0.5013522,0.5131019,0.53100306,0.5507708,0.5673087,0.57544416,0.5749138,0.56855536,0.56165725,0.5585386,0.5592981,0.5583713,0.5470633,0.5215729,0.48664805,0.452091,0.4239273,0.3977617,0.3640251,0.31783983,0.27175573,0.24979658,0.27159223,0.33273605,0.40756464,0.46705046,0.49802354,0.5049754,0.500152,0.49239728,0.48512518,0.47835413,0.47405472,0.47436354,0.48069027,0.48813042,0.48993722,0.47851202,0.454075,0.42349526,0.4032812,0.40651956,0.43588972,0.4738358,0.4971582,0.4884077,0.44977045,0.3946664,0.33960494,0.29258797,0.25297487,0.21625729,0.18171136,0.15653181,0.14948165,0.16309394,0.18785955,0.21015559,0.2204779,0.21984367,0.21333003,0.20515521,0.19421153,0.17916165,0.16149674,0.14904328,0.14966021,0.1653521,0.18623918,0.1994056,0.19703704,0.18425918,0.16979855,0.15996672,0.15339613,0.14739929,0.14064647,0.13440369,0.1307432,0.13072537,0.13446416,0.13926238,0.14235991,0.14196445,0.14060283,0.1422351,0.1504857,0.1657266,0.18611997,0.20767565,0.2252766,0.23406802,0.23263215,0.22441185,0.21553771,0.21063244,0.20960526,0.20878524,0.20222574,0.18725014,0.16661143,0.1526962,0.1588251,0.19374101,0.25358155,0.33116534,0.41629124,0.49971673,0.5652784,0.5999749,0.596762,0.56161124,0.50480783,0.44225892,0.39103255,0.3661618,0.36815992,0.38358685,0.39477682,0.39528477,0.39098728,0.39209569,0.4031451,0.42083803,0.43787625,0.44799265,0.44961855,0.44545746,0.44031015,0.4382019,0.4413242,0.44956812,0.4601034,0.46817556,0.46913686,0.4616187,0.44771615,0.43149447,0.4158137,0.40127674,0.3862677,0.36793122,0.34399474,0.31393552,0.28037155,0.24688046,0.21702904,0.19235413,0.1740673,0.16242123,0.15760975,0.15787981,0.15991469,0.15796386,0.14719917,0.1263279,0.10052364,0.07736876,0.062409047,0.0557202,0.05563015,0.062467575,0.07864901,0.104287826,0.13364588,0.15911593,0.17654376,0.19194806,0.21757467,0.2682061,0.3463342,0.43975034,0.52001977,0.5632456,0.5583507,0.51349187,0.4434217,0.36574268,0.29615864,0.24650423,0.22000124,0.2110789,0.21178655,0.21706332,0.22496589,0.23328918,0.23776406,0.23505527,0.22524635,0.2132615,0.20448685,0.20146118,0.20167768,0.20177482,0.2013135,0.2037183,0.21177961,0.22256224,0.22935565,0.22748257,0.22080754,0.21730345,0.22159618,0.22891255,0.23045963,0.22141986,0.2055133,0.1903526,0.18189691,0.18093222,0.18539692,0.19103158,0.19379856,0.19036974,0.18145876,0.17193384,0.16883363,0.17616554,0.19108659,0.20528167,0.21102463,0.20699228,0.19852109,0.19267108,0.19385119,0.20265764,0.21672402,0.2318518,0.2423237,0.24396174,0.23573947,0.22181703,0.20770985,0.19774538,0.19381209,0.20091857,0.23100333,0.2951007,0.39075732,0.49351677,0.5737737,0.6135728,0.6175137,0.5988908,0.5695371,0.5349323,0.49950173,0.46807173,0.44418895,0.4286728,0.42053032,0.41918397,0.42522135,0.4393519,0.46047008,0.48383117,0.5015667,0.50513804,0.49040547,0.46018353,0.42357907,0.38916394,0.36024436,0.33413628,0.30739495,0.27995673,0.25464234,0.23463094,0.22012675,0.2093379,0.19927038,0.18815969,0.17559643,0.16259886,0.15094607,0.1428448,0.14016539,0.1439353,0.15292285,0.16336238,0.16824025,0.16132934,0.14085217,0.113104604,0.08725345,0.069687165,0.06060135,0.05931856,0.069233954,0.09567221,0.13834089,0.1855709,0.22010066,0.22878867,0.21193688,0.18271726,0.16173898,0.16570379,0.20070009,0.25963104,0.3314146,0.4054135,0.47475544,0.5302043,0.56384796,0.57231575,0.56200314,0.5433176,0.52324444,0.50056434,0.4700637,0.4329432,0.40161195,0.39283594,0.4121633,0.44730398,0.47774112,0.48990455,0.48439696,0.4687324,0.45014024,0.43134883,0.41524264,0.40699467,0.41456178,0.44163048,0.48298788,0.5237596,0.54784757,0.54483885,0.5158217,0.47259536,0.43517128,0.4208738,0.4344674,0.4637481,0.49017856,0.50123084,0.49733326,0.48665288,0.47707126,0.47124135,0.4677143,0.46657786,0.4715034,0.48661575,0.50943786,0.5301926,0.53850025,0.5310802,0.5129848,0.49237406,0.4746941,0.46121463,0.45042583,0.4430989,0.44196776,0.45032534,0.465606,0.48110613,0.4884634,0.48333362,0.46632352,0.4455262,0.43412927,0.44341505,0.47178182,0.50475144,0.52546424,0.527441,0.51509434,0.49533316,0.46983123,0.4374452,0.40141734,0.37627828,0.37859598,0.4155178,0.47252044,0.52672106,0.56080645,0.57534176,0.5783443,0.5759632,0.5684562,0.556643,0.5453213,0.5410313,0.5455931,0.5549386,0.56095344,0.558947,0.5475099,0.5296115,0.50860184,0.4934161,0.49443412,0.51957756,0.56168264,0.6042859,0.63057846,0.6372724,0.6292619,0.6118011,0.5840013,0.5456552,0.50454,0.47650328,0.47394535,0.49573684,0.5265688,0.5500805,0.55836225,0.5550763,0.5459244,0.53286964,0.51141447,0.47834194,0.4400029,0.414144,0.41912234,0.45729423,0.5116346,0.55736804,0.58040863,0.58326936,0.57980686,0.5847235,0.60586023,0.6404976,0.6771979,0.70361286,0.71447676,0.7134276,0.70803386,0.70338917,0.70039266,0.69739836,0.6934777,0.6890097,0.684448,0.6790378,0.6705628,0.6581252,0.6421998,0.6260333,0.6120518,0.60264945,0.5975539,0.59661436,0.59859043,0.6022751,0.605152,0.6043828,0.59925705,0.5909605,0.5819218,0.5715123,0.5590689,0.5461674,0.5411102,0.5521889,0.58155054,0.6192548,0.6508191,0.6655131,0.66348976,0.6519994,0.6391728,0.62941664,0.62316185,0.619248,0.6148565,0.607176,0.5939227,0.57655543,0.55855656,0.54415923,0.53464836,0.52944463,0.5260195,0.52113026,0.50959206,0.48410487,0.43905863,0.3750496,0.30481717,0.24720205,0.22110318,0.23452769,0.286534,0.36658347,0.45858756,0.5416272,0.5979594,0.6212017,0.61856276,0.60434216,0.59031993,0.5819106,0.57908225,0.57898647,0.57821554,0.5750348,0.5709018,0.5690822,0.5710928,0.57476,0.5760064,0.57255244,0.5652887,0.5563419,0.5468655,0.53682923,0.52622604,0.5159164,0.5071151,0.50119466,0.4987845,0.5002671,0.5048461,0.5109052,0.5150747,0.5144436,0.50809735,0.49872693,0.49028358,0.4856355,0.4850088,0.48691145,0.48924366,0.49018416,0.48858273,0.48441097,0.47859192,0.472145,0.46528688,0.4574552,0.44848314,0.4391428,0.43105313,0.42540932,0.42268637,0.42227075,0.42321786,0.42441165,0.42507902,0.42458114,0.42238104,0.41824314,0.4124256,0.40591177,0.39975223,0.39453825,0.39009222,0.38584983,0.38159776,0.37735605,0.37348863,0.3699536,0.3667247,0.36339486,0.36004767,0.35696182,0.3549901,0.35460076,0.35576287,0.35761654,0.35932633,0.3610507,0.36448142,0.37199867,0.38445202,0.3997548,0.4131774,0.4200256,0.4177958,0.40708593,0.39023194,0.37026668,0.3499891,0.33187786,0.31747463,0.30722713,0.3005268,0.2960995,0.29214582,0.28611505,0.2746836,0.25455084,0.22470522,0.18841703,0.1529605,0.12562314,0.109569214,0.102116324,0.098032564,0.09307659,0.08656362,0.07978868,0.07441928,0.0708974,0.06888731,0.06789344,0.06763381,0.06807628,0.06894354,0.069944285,0.070252426,0.06864009,0.06350388,0.054974597,0.04662103,0.045253057,0.056564797,0.08038506,0.10948488,0.13425392,0.14865816,0.15284452,0.15067519,0.14606379,0.14120378,0.13709708,0.13435423,0.13324136,0.13323517,0.13275965,0.12961338,0.121690534,0.10872247,0.09296784,0.08061697,0.079105705,0.09532016,0.12886304,0.17251939,0.21259935,0.23928596,0.2494083,0.24857302,0.24320258,0.23753752,0.23167686,0.22500618,0.21770822,0.2110312,0.20614956,0.20330541,0.20209838,0.2017299,0.20145936,0.20053558,0.19853918,0.19553381,0.19210863,0.18902428,0.18675165,0.18526669,0.18419428,0.1832856,0.18262225,0.18236618,0.1818993,0.17926629,0.17127834,0.15543981,0.13208656,0.10554858,0.08191527,0.06571596,0.057825256,0.056979176,0.062408794,0.07503768,0.095109455,0.11981779,0.14272438,0.15784472,0.16265456,0.15932398,0.15147294,0.14220476,0.1331731,0.1257367,0.12101247,0.119621955,0.12101826,0.12392423,0.1270765,0.13044168,0.13516942,0.14261626,0.15277278,0.16410427,0.17485899,0.18433917,0.1925873,0.19912694,0.20250098,0.20166713,0.19691922,0.18996434,0.18210797,0.17391081,0.16540466,0.15751511,0.15180337,0.14967686,0.15133984,0.15576625,0.16057573,0.16224758,0.15748721,0.14630546,0.13383271,0.12798792,0.1340786,0.15041727,0.16992266,0.18494324,0.19238426,0.1934826,0.19119649,0.18712968,0.18157606,0.17482047,0.16801804,0.16252442,0.15898144,0.15717714,0.15690191,0.158065,0.16012758,0.16134731,0.1596741,0.15450776,0.1475293,0.1415312,0.13822483,0.13758256,0.13846241,0.13990258,0.14087427,0.14037919,0.13764746,0.13357536,0.13022947,0.1292718,0.12987085,0.1290793,0.12425508,0.11513821,0.104246646,0.09527814,0.09234679,0.09948296,0.11971739,0.15237348,0.19130379,0.22703691,0.2518186,0.26338705,0.26400173,0.25762552,0.24756007,0.23646156,0.2258868,0.21611927,0.20634764,0.1961531,0.18729325,0.1830761,0.18644923,0.19667858,0.21007471,0.2224143,0.23293811,0.24337363,0.25489894,0.26482913,0.26847103,0.26310334,0.2501823,0.2335348,0.21602069,0.19961794,0.1868398,0.18096311,0.18242769,0.18601191,0.18427919,0.17378259,0.16024905,0.15332091,0.1602133,0.17979307,0.20679927,0.23539317,0.26296496,0.28727284,0.30575392,0.31461325,0.31202653,0.29973686,0.2832618,0.26910257,0.26113328,0.2597212,0.2620065,0.26450887,0.26400957,0.25936934,0.25120193,0.24160056,0.23283665,0.22761156,0.22963016,0.24244861,0.26644364,0.29568553,0.319847,0.3290186,0.31852344,0.28986895,0.2491882,0.20565407,0.16804303,0.14168131,0.1259654,0.11718758,0.112508535,0.11251079,0.118792295,0.13021572,0.14128752,0.14663588,0.147254,0.1528688,0.1745988,0.21413569,0.25983095,0.29428545,0.30735636,0.30090597,0.2846364,0.2668141,0.2511246,0.2375738,0.22587287,0.21604462,0.20827359,0.20230155,0.19749467,0.19296463,0.1876841,0.18084966,0.17255932,0.16493689,0.16202037,0.16713643,0.17928807,0.19224519,0.19884326,0.19590212,0.18577063,0.17298542,0.16183607,0.15647335,0.16260296,0.18516766,0.22425032,0.2721653,0.31784144,0.35298744,0.37621447,0.39028236,0.39848372,0.4027749,0.4044594,0.40326416,0.39641365,0.37997785,0.35379624,0.32394597,0.29949856,0.28609046,0.28243306,0.28315428,0.2830828,0.27997681,0.27374354,0.26507863,0.25459984,0.24200433,0.22646765,0.20745522,0.1868329,0.16865993,0.1571265,0.15352686,0.15555373,0.15927851,0.16166271,0.16192502,0.16086625,0.15970628,0.15882786,0.15738653,0.15387158,0.14743212,0.13900645,0.13098401,0.12593468,0.124953724,0.12750335,0.13320817,0.14476444,0.16825052,0.20681484,0.25378954,0.291872,0.3053683,0.29090214,0.25948673,0.22515172,0.19653982,0.17523938,0.16096377,0.15418713,0.15574874,0.16474777,0.17685153,0.18474369,0.18042286,0.16332039,0.14571108,0.15360488,0.20864339,0.31009984,0.42462888,0.5083163,0.53270966,0.501818,0.43779102,0.3636327,0.2921775,0.2312115,0.18601553,0.1614629,0.16160181,0.19433486,0.26531026,0.3686302,0.4758973,0.551663,0.57406193,0.55148953,0.5070711,0.4590595,0.4092901,0.3541583,0.2952786,0.24277814,0.20966442,0.21017317,0.25480196,0.34199762,0.44702864,0.5308928,0.56244975,0.53850496,0.4776449,0.40473852,0.34102914,0.31079137,0.33497372,0.41722593,0.52543825,0.6093457,0.62777144,0.5759882,0.47637153,0.36200845,0.25910765,0.18493555,0.14500974,0.13257591,0.13215478,0.12919272,0.11842019,0.10355135,0.091458,0.08576071,0.086151995,0.08950358,0.09297522,0.09388452,0.091279745,0.085159115,0.07699139,0.067894004,0.058946878,0.052058574,0.051085483,0.060196918,0.08029971,0.107565306,0.13520677,0.15812376,0.17414089,0.18424825,0.19264442,0.21027225,0.25416312,0.33551943,0.44553852,0.5514129,0.61816853,0.6306451,0.6020173,0.55444354,0.50193506,0.445151,0.38279662,0.32035297,0.27196404,0.25589463,0.2867678,0.36559606,0.47133636,0.56736916,0.6207779,0.6236035,0.5913735,0.5461423,0.49749818,0.44369903,0.38277996,0.32092938,0.27013507,0.2418531,0.24751748,0.29550695,0.38368496,0.48727354,0.56683874,0.59107,0.55778927,0.4892993,0.41451558,0.35779354,0.34092024,0.3793392,0.46799436,0.57197523,0.6425481,0.6476085,0.58942616,0.49645805,0.40036556,0.32164833,0.26614514,0.23180687,0.21330182,0.20652503,0.207586,0.21237601,0.21655904,0.21827511,0.21953541,0.22425236,0.23529954,0.2511914,0.26643983,0.2728838,0.26522282,0.24372102,0.21566714,0.19139482,0.18254955,0.19730616,0.23699526,0.29121527,0.34187022,0.37069115,0.36813867,0.33595905,0.2871888,0.24470152,0.23560722,0.27917632,0.37100673,0.48025918,0.564316,0.5969233,0.5806251,0.5399495,0.49855867,0.46756706,0.44506025,0.42478827,0.40168825,0.3742995,0.34427914,0.31543586,0.29145953,0.27447128,0.26326683,0.25554195,0.24983253,0.24710822,0.24862914,0.25388643,0.26103792,0.26788297,0.27278897,0.2734139,0.2676396,0.25588563,0.24251176,0.23396339,0.2331758,0.23794864,0.24266313,0.24400681,0.24179961,0.23749757,0.23048127,0.21894985,0.20192568,0.18253851,0.16666059,0.15983777,0.16268359,0.17035563,0.17542028,0.17254639,0.16143928,0.14666615,0.13565505,0.13557638,0.15018149,0.17747365,0.20953101,0.23517983,0.24428783,0.2322912,0.20350511,0.16979007,0.14514531,0.1364103,0.14099956,0.14953215,0.15529995,0.15616238,0.15436995,0.15095216,0.1458052,0.1375877,0.1268896,0.11619214,0.10974293,0.11021739,0.1175374,0.12797649,0.13733526,0.14241831,0.14441232,0.1494389,0.16873968,0.21166904,0.27571163,0.341166,0.38040963,0.37780783,0.34112105,0.29451725,0.25872883,0.23927535,0.22908127,0.21950161,0.20707685,0.19317907,0.18040045,0.17006396,0.16205375,0.15534538,0.14895655,0.14252573,0.13677843,0.13269281,0.13043898,0.12877029,0.12608789,0.12244957,0.12072886,0.12594081,0.14110352,0.16401003,0.18619312,0.19873993,0.1975229,0.18611395,0.17131108,0.1587194,0.15004319,0.14477839,0.14192295,0.14079867,0.1406624,0.14078596,0.14067407,0.13975988,0.1368773,0.13099885,0.12313361,0.11657549,0.11434903,0.115876056,0.11725059,0.11422485,0.10568902,0.09396664,0.08382684,0.080174446,0.08592699,0.10020428,0.11836425,0.13471587,0.14522417,0.14933497,0.14875232,0.14581841,0.14171255,0.13668488,0.13118179,0.1269637,0.126357,0.13000272,0.1351587,0.1366133,0.1301602,0.11597374,0.09896775,0.0859615,0.08364796,0.09877255,0.14013784,0.21266675,0.31000873,0.4088173,0.48158708,0.5122724,0.50708383,0.4849013,0.46211505,0.4415449,0.41456234,0.37371516,0.325006,0.29020134,0.28967336,0.32496944,0.37391225,0.4107337,0.42290032,0.4159502,0.40036896,0.3828555,0.36458007,0.34602568,0.329982,0.32195425,0.32440773,0.33468094,0.34281185,0.34310564,0.33378205,0.3206196,0.30733386,0.3022265,0.314258,0.34966686,0.3998017,0.44407785,0.464718,0.45901212,0.43910113,0.41773948,0.39840528,0.37378085,0.33703053,0.29476807,0.2679155,0.27603564,0.3177508,0.37019944,0.40775728,0.42053798,0.41551617,0.40372083,0.39128348,0.37853503,0.36622992,0.3573872,0.35815966,0.37120473,0.39435253,0.41820875,0.43496034,0.43950257,0.43438026,0.42469445,0.4211335,0.4307886,0.45480955,0.48071957,0.4954956,0.49131802,0.4741108,0.4525119,0.43381438,0.41657946,0.3975295,0.3755258,0.3605089,0.36401358,0.39108992,0.42801252,0.45651492,0.46373346,0.4539689,0.43680772,0.42104685,0.40812385,0.39823243,0.39211842,0.39257002,0.39873227,0.40525115,0.4032407,0.38985673,0.3690407,0.35082936,0.34206152,0.3477293,0.36832154,0.40178466,0.43829998,0.46597925,0.4755315,0.46832636,0.45160472,0.43376848,0.41610673,0.39765546,0.37937352,0.37297416,0.38991788,0.4328998,0.4844675,0.52313,0.53481144,0.5244479,0.5037202,0.48354253,0.46695337,0.45457837,0.44672084,0.44525182,0.44923842,0.454226,0.45337954,0.44426307,0.42976332,0.4164267,0.40942672,0.41396114,0.43443552,0.471315,0.5155639,0.5514505,0.5664524,0.5587857,0.536674,0.5102242,0.48421845,0.4571196,0.42596683,0.3958465,0.37848124,0.383885,0.40662038,0.429289,0.4345865,0.41864133,0.38950023,0.35850623,0.33252552,0.31318295,0.30133486,0.301465,0.32137367,0.3641574,0.42078468,0.47055146,0.49338543,0.48194215,0.44678354,0.41016626,0.39350763,0.40439102,0.43205035,0.45665348,0.46494046,0.4583908,0.44790137,0.44277033,0.4441155,0.44710386,0.44612765,0.44181553,0.44023404,0.44825938,0.46469548,0.48145762,0.49075523,0.49297026,0.4934328,0.4946283,0.4919064,0.47929677,0.45812035,0.4398323,0.43970212,0.46419954,0.50558734,0.5448832,0.56558824,0.56106967,0.53770787,0.50927705,0.49217966,0.49685657,0.5218325,0.5539916,0.57831043,0.5886326,0.5880775,0.5807759,0.5627516,0.5269175,0.47452843,0.4250258,0.40455747,0.42683843,0.4787848,0.53183484,0.56235045,0.56563514,0.5506613,0.52863145,0.50619,0.4867221,0.4734846,0.47131613,0.48453367,0.51320463,0.5496846,0.5817736,0.5992624,0.6001564,0.5894256,0.57608396,0.5687931,0.5736363,0.590431,0.61288506,0.63285255,0.6456993,0.6508966,0.6475971,0.63180465,0.6002574,0.55697066,0.51616144,0.49469796,0.5007811,0.52762985,0.55868506,0.5801944,0.5880404,0.5863242,0.580055,0.5717568,0.56299907,0.55620694,0.55593586,0.56589645,0.58576685,0.6088856,0.6242485,0.6247738,0.60999256,0.5873656,0.56473225,0.551398,0.55279875,0.57032007,0.59435445,0.6117789,0.61231947,0.59701145,0.5717466,0.5408831,0.50365025,0.4616255,0.4250872,0.41213486,0.4338126,0.48357952,0.53667766,0.57044786,0.57645845,0.56419736,0.5460312,0.53022814,0.5177297,0.5085409,0.503294,0.50480837,0.51267284,0.52301985,0.5277706,0.5235863,0.5119525,0.49957585,0.491708,0.49379516,0.5099404,0.5409107,0.5795507,0.61360556,0.63354725,0.6385564,0.63450056,0.6271055,0.61725086,0.60334456,0.5865877,0.57507396,0.57704633,0.59388834,0.6144807,0.6257908,0.62055176,0.60311055,0.58094174,0.5601482,0.541924,0.5262603,0.5131112,0.50458115,0.5016193,0.5037477,0.50596184,0.5049587,0.49873027,0.49056634,0.48364222,0.48373237,0.4947838,0.5179005,0.5455587,0.5658865,0.569388,0.55639315,0.53443927,0.51127553,0.48818633,0.4629222,0.4368799,0.4217777,0.431362,0.46928647,0.51932317,0.5580382,0.56996864,0.5587762,0.537391,0.5172667,0.501141,0.4877847,0.47684935,0.47186664,0.47533748,0.4852642,0.49278173,0.49025598,0.47487506,0.45159975,0.4272115,0.41015637,0.40837407,0.42592934,0.45753595,0.48854876,0.5059893,0.50577813,0.4935887,0.4742086,0.4465613,0.40830004,0.36548543,0.33879837,0.34771845,0.39572677,0.45811975,0.5041037,0.5144577,0.49568537,0.46416712,0.43453988,0.4106456,0.3918281,0.37769413,0.37292886,0.38123274,0.40149656,0.42212114,0.43271914,0.4276513,0.41328156,0.39668033,0.3868219,0.38710964,0.39903605,0.41549322,0.42807543,0.42921844,0.42027804,0.4055626,0.38985232,0.37095734,0.3466507,0.31818223,0.3002043,0.30625644,0.34047136,0.38343847,0.41302612,0.41472602,0.39504847,0.36553368,0.33678594,0.31102097,0.2899342,0.277145,0.28261808,0.31329155,0.3674777,0.42598355,0.4661444,0.47045982,0.44313014,0.4027237,0.378466,0.38780662,0.42950186,0.47905955,0.51191765,0.51638645,0.50096303,0.47803044,0.45586693,0.4336175,0.41019306,0.3880186,0.377612,0.3866538,0.41411138,0.44311413,0.45763993,0.4497105,0.42678174,0.39786348,0.3701967,0.34567794,0.32763097,0.32158193,0.3353379,0.37106904,0.4210354,0.46641502,0.49015418,0.48532012,0.46165657,0.43783262,0.4340575,0.45952067,0.50748944,0.5580518,0.5920396,0.6019179,0.5921188,0.5690213,0.5333751,0.4835553,0.42566374,0.37928787,0.36745134,0.39851978,0.4567039,0.5124064,0.5440934,0.54918426,0.5393345,0.5266664,0.51648444,0.5093241,0.50518113,0.5081039,0.52156734,0.54501337,0.5692246,0.5836835,0.58264613,0.5699963,0.5540281,0.5446025,0.54838234,0.5678298,0.5974547,0.6278375,0.65033716,0.66206455,0.6626516,0.6505025,0.6215909,0.57614803,0.5235757,0.48361373,0.47290346,0.49438706,0.5315071,0.5627601,0.5749163,0.57003874,0.557692,0.54598147,0.5379644,0.5334616,0.5327144,0.5383205,0.55275255,0.5757842,0.60089445,0.62063545,0.6300699,0.63191634,0.63183755,0.6364221,0.6470068,0.6613336,0.6725354,0.67642045,0.67161995,0.661751,0.64894414,0.633497,0.6133556,0.58965087,0.5679706,0.55792737,0.56473166,0.58560497,0.6080037,0.62121415,0.6209845,0.6134234,0.6053352,0.60109854,0.59942263,0.5985114,0.59717774,0.59638,0.595738,0.59322053,0.58493394,0.56988746,0.5502619,0.53185874,0.51982814,0.5194898,0.53250676,0.55661577,0.582325,0.60019964,0.6049308,0.59949857,0.58847,0.5742745,0.5549917,0.53045064,0.5061558,0.4945732,0.50407344,0.5314616,0.5588488,0.5699778,0.55950975,0.53706175,0.51380515,0.49608982,0.48328567,0.47380278,0.46761766,0.46674696,0.47105637,0.4771571,0.47745845,0.46791208,0.449065,0.4295654,0.41793993,0.42281294,0.44356558,0.4728838,0.49397826,0.4962239,0.4788529,0.45415953,0.43217072,0.4148763,0.39612234,0.37299085,0.35251853,0.35019538,0.37630138,0.4259955,0.4769574,0.50783557,0.50939137,0.49131012,0.4671792,0.44759908,0.43390152,0.42523503,0.42038986,0.42094314,0.42617092,0.43263766,0.43295023,0.42322126,0.40387872,0.38206363,0.3667796,0.36915183,0.3937352,0.43454087,0.47188577,0.48811057,0.47811756,0.45397282,0.4296316,0.40958193,0.38722932,0.35718796,0.32860252,0.32264176,0.35575512,0.4208653,0.4889687,0.53072715,0.53593194,0.5161676,0.4888784,0.4652528,0.44724283,0.43376872,0.42539787,0.42286777,0.42466316,0.42505792,0.4193281,0.4058777,0.3879495,0.37006104,0.35902688,0.3614227,0.37965152,0.40562925,0.42398235,0.42277715,0.4023864,0.37348175,0.34716296,0.32662115,0.30917302,0.292683,0.2845461,0.29530236,0.3294129,0.37390772,0.40825903,0.4178377,0.4049256,0.38154915,0.3593146,0.3421742,0.32984054,0.32252944,0.32633996,0.34856427,0.39122638,0.44290748,0.48460093,0.4990783,0.48276004,0.44658336,0.4128958,0.40297437,0.42450988,0.46452627,0.49876246,0.5099892,0.4978163,0.4736965,0.4469472,0.41828752,0.38498887,0.34937024,0.32527253,0.32611087,0.3551159,0.39435625,0.42155734,0.4218068,0.40008965,0.36918545,0.34190616,0.3224322,0.3114679,0.30990812,0.3240873,0.35884777,0.41146347,0.46458492,0.49808398,0.4986814,0.47244,0.43762115,0.4188808,0.4298469,0.46875143,0.5159221,0.5514975,0.5651787,0.5611196,0.544741,0.5151382,0.46600989,0.39897978,0.33208278,0.29587802,0.30937448,0.365245,0.42743573,0.46364927,0.46181938,0.43803453,0.4113494,0.39371052,0.38382733,0.3791933,0.38027903,0.39460406,0.4270121,0.47512698,0.52296275,0.5550785,0.5618768,0.54931366,0.5279908,0.513477,0.5144427,0.5335016,0.5594924,0.5799682,0.5856424,0.5777704,0.55720204,0.5213978,0.46566188,0.39552748,0.33117685,0.29976448,0.3153229,0.3674374,0.42592564,0.46473506,0.47552046,0.46880233,0.45755854,0.44939065,0.44449934,0.44317505,0.4487442,0.4673103,0.49987498,0.5383912,0.5670736,0.5748923,0.5620858,0.54100895,0.5254223,0.524385,0.5359168,0.5504145,0.55427617,0.5413247,0.5145938,0.4856058,0.46261725,0.4459791,0.425729,0.3941909,0.35699013,0.3375671,0.3570119,0.41463432,0.4827691,0.5313687,0.547073,0.5370502,0.5107337,0.47012603,0.41224802,0.3438498,0.28837633,0.27497292,0.31622136,0.39328733,0.4688096,0.5132239,0.5230368,0.5145023,0.50664264,0.50924236,0.5207848,0.533032,0.5360804,0.52375925,0.49290654,0.44230115,0.37176082,0.28704184,0.20033495,0.12581803,0.07191593,0.038596533,0.022289189,0.020519093,0.034862194,0.062610716,0.09465033,0.11388186,0.1110998,0.08817222,0.0594697,0.036019567,0.022300834,0.015046096,0.010911292,0.007868943,0.0055820714,0.003920401,0.0027412903,0.0018964609,0.0012720838,0.0008071012,0.00048344617,0.00028905625,0.00019269569,0.0001476755,0.000117579846,9.191434E-05,7.860384E-05]