[0.010494718,0.023084894,0.054955166,0.10363241,0.15887196,0.20794606,0.24275517,0.26485822,0.27927378,0.28966245,0.295777,0.29761985,0.2955042,0.29111552,0.28500047,0.2781128,0.27027464,0.26175606,0.25297716,0.2452137,0.23981483,0.23703362,0.23624866,0.23650764,0.23837025,0.24459171,0.2572715,0.2757117,0.2940034,0.3069383,0.311826,0.31195554,0.31128177,0.3129125,0.3161191,0.31758043,0.31446907,0.30571994,0.29488423,0.2850578,0.27932143,0.27645454,0.2749826,0.2729325,0.27023503,0.26784468,0.26611224,0.2648886,0.2628565,0.25948337,0.25480717,0.24947895,0.24478215,0.24110527,0.2389002,0.23683614,0.23476104,0.2318176,0.22880341,0.22554667,0.22280703,0.22095571,0.22018741,0.22052903,0.2208408,0.22074568,0.21888511,0.21544336,0.21096401,0.20738737,0.20591624,0.2059015,0.20553885,0.20284241,0.19789203,0.19173692,0.18626118,0.18230794,0.17974389,0.17773408,0.1755271,0.17336734,0.17132203,0.1695612,0.16750301,0.16508962,0.16231368,0.15949844,0.15721862,0.15598238,0.15607429,0.15623759,0.15503089,0.15170158,0.14847898,0.1491208,0.15670866,0.1710416,0.18835902,0.20415133,0.21479245,0.21990798,0.22080784,0.22062658,0.22162066,0.224832,0.22895277,0.23251034,0.23511235,0.2381955,0.24247862,0.24664526,0.24790889,0.24519211,0.24055225,0.23730363,0.23755646,0.24072213,0.24580657,0.25187957,0.25870666,0.26486182,0.26857185,0.26864803,0.26559925,0.26087245,0.25556505,0.25034705,0.2461791,0.24420585,0.24476087,0.24594492,0.24515535,0.24079989,0.23432362,0.22820304,0.22417013,0.22146933,0.21872681,0.21497853,0.210312,0.2045914,0.19771117,0.19001263,0.18287563,0.17753863,0.17441583,0.17260413,0.17096263,0.16846158,0.16511561,0.16161142,0.15912409,0.15802903,0.1578622,0.15784448,0.15780224,0.15790094,0.15774004,0.15644842,0.15348428,0.14947565,0.14547466,0.14212845,0.13922554,0.13636863,0.13359886,0.13147326,0.13065328,0.13117453,0.1325216,0.13364668,0.13383454,0.13268934,0.13068867,0.12841335,0.12664206,0.12545678,0.12490055,0.12450439,0.124075204,0.12307265,0.121401735,0.11900586,0.11654627,0.1146423,0.11377279,0.11350873,0.11296186,0.11132429,0.108446814,0.10480151,0.10101161,0.097798444,0.09577378,0.0953449,0.09649297,0.09868514,0.101305254,0.10328532,0.10376158,0.1022416,0.10049803,0.10213242,0.110823214,0.12631719,0.1433758,0.15441282,0.1547293,0.14514607,0.13087396,0.11792626,0.11079451,0.111516036,0.11950258,0.131182,0.14089853,0.14367868,0.13843809,0.1283325,0.11837125,0.111800045,0.10936388,0.109555244,0.110724606,0.11128899,0.11101528,0.11003842,0.10915717,0.10863131,0.10878936,0.10960611,0.11103914,0.11300149,0.115836956,0.120485425,0.12733978,0.13495375,0.14000559,0.13952069,0.13365348,0.12535614,0.11818806,0.113113195,0.10910046,0.104445286,0.09876594,0.09243331,0.0862749,0.081484504,0.08096073,0.08937832,0.11140432,0.1473879,0.191473,0.23333605,0.26455796,0.28164428,0.28661063,0.28298262,0.27510512,0.26620317,0.2590463,0.25440907,0.2522883,0.2515042,0.25081703,0.24849959,0.24415858,0.23862348,0.2344604,0.23333637,0.23565114,0.23990746,0.24509566,0.25111687,0.2582865,0.2657127,0.27103007,0.2724984,0.27003014,0.2654253,0.2604384,0.2560419,0.25261447,0.25005966,0.24834323,0.24648573,0.24401231,0.24072237,0.23776738,0.23550624,0.2335707,0.23068313,0.22671764,0.22227418,0.21827026,0.21495938,0.2127019,0.21179353,0.21190365,0.21183951,0.21056996,0.20859015,0.20693295,0.20630056,0.20601289,0.20573421,0.20518182,0.20449169,0.20307797,0.20115636,0.19946986,0.19892246,0.198691,0.19712083,0.19352154,0.18929206,0.18653034,0.18567036,0.18565862,0.18532383,0.1850834,0.1857654,0.18726355,0.18851869,0.18889534,0.18936421,0.19064653,0.19255418,0.19359094,0.19334526,0.19177873,0.18898271,0.18426041,0.17803569,0.17198141,0.16818266,0.16719447,0.16803275,0.16915102,0.16913301,0.16712312,0.1633657,0.16030425,0.16215147,0.1722429,0.1904601,0.21214952,0.2313069,0.243284,0.24709643,0.24420898,0.23709951,0.22877295,0.22197126,0.21971999,0.22204025,0.22672786,0.22837721,0.22404696,0.21415968,0.20452635,0.20141347,0.20846055,0.22356178,0.24073243,0.2539222,0.26060823,0.26230398,0.26220062,0.26194477,0.26138207,0.2589314,0.25425154,0.24760784,0.24093486,0.23588462,0.23391978,0.23419379,0.23445718,0.23201068,0.22646625,0.21979861,0.21499293,0.21327482,0.2136132,0.21416593,0.21428166,0.21447797,0.21475655,0.21375315,0.20978875,0.20271356,0.19393522,0.18551129,0.1785535,0.1742268,0.17339487,0.17761046,0.18605864,0.19609278,0.20286053,0.20390397,0.19968437,0.1934065,0.18726884,0.18154836,0.17553394,0.16909401,0.1630993,0.15785098,0.15316027,0.1483993,0.1440168,0.14074261,0.13913809,0.13861245,0.138204,0.13746701,0.13685107,0.13714279,0.13823338,0.139293,0.13927396,0.13821411,0.13679047,0.13596864,0.13595402,0.1363173,0.13614483,0.13471861,0.13214217,0.12900645,0.12594168,0.12261366,0.11908815,0.11690232,0.12007129,0.132706,0.15634078,0.18923414,0.2262388,0.2623824,0.2903048,0.30636272,0.30665928,0.2959127,0.27899042,0.2665348,0.26328143,0.27161255,0.2858545,0.30021665,0.31347635,0.3284941,0.3502071,0.37300262,0.3911182,0.3953925,0.39100984,0.3812689,0.37425998,0.36647022,0.35754335,0.34541512,0.33454874,0.32758152,0.32298288,0.31748095,0.307119,0.29629514,0.2888566,0.29083124,0.30111244,0.31771454,0.33599755,0.35114646,0.36058477,0.3615069,0.35708317,0.3466036,0.33382654,0.31634653,0.2984711,0.27939096,0.26329312,0.24897361,0.23932011,0.23384358,0.23221193,0.23232299,0.2348042,0.24388151,0.25944746,0.2754043,0.28138813,0.27575195,0.26470032,0.25639606,0.2542475,0.259504,0.27577332,0.304131,0.33930764,0.3707708,0.39170018,0.4036142,0.41079047,0.41748226,0.42288843,0.42807254,0.4300057,0.42753068,0.41580072,0.39798358,0.37966356,0.371529,0.37520275,0.3865715,0.39700142,0.4057312,0.4158312,0.42878637,0.43915093,0.4419811,0.43938914,0.43766403,0.4405422,0.44571242,0.45072874,0.4546883,0.45940414,0.46549246,0.4730406,0.4783293,0.4763428,0.46279812,0.44027773,0.41563568,0.3966773,0.38762653,0.39030683,0.4029425,0.41993427,0.43225518,0.4340208,0.42516625,0.4114368,0.39705166,0.3836024,0.3695685,0.35513127,0.3408266,0.32763693,0.31562763,0.30576548,0.2998534,0.29835615,0.30008027,0.30263123,0.3057287,0.3101639,0.31676516,0.32523346,0.3336818,0.34171167,0.34848666,0.3571453,0.36695614,0.37737182,0.38139117,0.37861893,0.37093985,0.3669885,0.36855754,0.3733379,0.37520146,0.37276402,0.36957678,0.3703731,0.37864864,0.39243507,0.4088098,0.4224888,0.43268836,0.43882635,0.44320455,0.44606113,0.44907835,0.45299366,0.45772874,0.4616114,0.462159,0.4594759,0.45421696,0.4494604,0.44673362,0.4469572,0.4473171,0.44376573,0.43473902,0.4218125,0.40960786,0.39900032,0.39169073,0.3873298,0.38832852,0.39087895,0.3902575,0.38115346,0.36625782,0.35106957,0.33991477,0.33290768,0.32848826,0.32753542,0.33134082,0.34175542,0.35840726,0.37941262,0.40011,0.4141753,0.4185903,0.41402343,0.4062432,0.39849594,0.3941017,0.3927722,0.3952587,0.39886138,0.4016939,0.4026319,0.4033313,0.4056195,0.40893543,0.4128017,0.41583732,0.41931596,0.42216972,0.4252666,0.42709303,0.42848775,0.42770863,0.42435682,0.41711316,0.4067175,0.39464828,0.3821011,0.370589,0.36019638,0.3524704,0.3466709,0.3430477,0.3403348,0.33893356,0.338604,0.33864763,0.3391547,0.3391844,0.34049377,0.34157398,0.34417287,0.3452642,0.3446068,0.33753464,0.3249351,0.30874658,0.29533878,0.288515,0.28787142,0.2904476,0.29132947,0.2900751,0.28613225,0.2829878,0.2818335,0.28489056,0.29159963,0.29999533,0.30818707,0.3135079,0.3180672,0.32245862,0.3310341,0.341521,0.3530381,0.36034533,0.3633691,0.36089706,0.35395348,0.34317148,0.33094907,0.32112846,0.31387487,0.30958298,0.3068135,0.30936,0.31609356,0.32305887,0.32164285,0.3107855,0.29709652,0.28884292,0.28854296,0.29013708,0.28972372,0.28515732,0.28055704,0.27621284,0.27280328,0.26782548,0.2622718,0.259619,0.26516482,0.2808372,0.29950836,0.3107022,0.30815935,0.29820278,0.29292774,0.29846618,0.31246683,0.32635543,0.33958027,0.3507658,0.3621076,0.36636743,0.36446097,0.35625443,0.3498037,0.34461764,0.34196496,0.33948168,0.33871868,0.33889493,0.33876345,0.3382286,0.33656874,0.33455148,0.33028677,0.32672742,0.3254753,0.32765463,0.32861593,0.3253273,0.319344,0.3147001,0.31561315,0.32159105,0.33433282,0.35057667,0.36734876,0.37646902,0.37736157,0.3729457,0.3693793,0.36698902,0.3620442,0.35339698,0.3432304,0.33798027,0.33826593,0.34262013,0.345192,0.34438953,0.33957228,0.33223236,0.32303926,0.31378928,0.3084184,0.31003258,0.31977594,0.33492208,0.3526516,0.37067452,0.38762203,0.4033728,0.41607264,0.42495728,0.42652726,0.4237388,0.41943765,0.42048928,0.42431,0.42880046,0.42894518,0.42783573,0.42752114,0.43323192,0.4487374,0.4756097,0.506061,0.52266544,0.5136222,0.48243824,0.449326,0.42894414,0.4228988,0.41965154,0.4127479,0.40163758,0.3909283,0.38164726,0.3749324,0.37201402,0.37362278,0.37865707,0.38508168,0.39351335,0.4028724,0.4100285,0.41146317,0.40900838,0.40848768,0.41142318,0.4145583,0.4121407,0.40527084,0.39645064,0.38857558,0.380626,0.37365147,0.37040234,0.3727018,0.37981763,0.38704714,0.39189973,0.3909398,0.38531852,0.3753378,0.3651373,0.35499403,0.34563473,0.33583856,0.32756042,0.32190248,0.31834716,0.31626344,0.31753972,0.3277137,0.34784317,0.37331524,0.39468038,0.4068145,0.4098946,0.40713152,0.40129066,0.3944118,0.39048877,0.3913931,0.39626777,0.39882132,0.39589784,0.3873063,0.37816715,0.3712621,0.36827707,0.368857,0.3726009,0.37874126,0.38457027,0.3899242,0.3951247,0.40405348,0.41631833,0.43137583,0.4467386,0.46323058,0.47958386,0.49171972,0.49519396,0.4899303,0.48148915,0.47235346,0.46161267,0.4461892,0.42949215,0.4160916,0.40762094,0.3989915,0.38690233,0.37573817,0.37682012,0.39841262,0.43582842,0.47229028,0.48999736,0.48427466,0.46428856,0.44279027,0.42634258,0.4163547,0.41466856,0.42084315,0.42900336,0.42980158,0.42144704,0.40921095,0.3982412,0.38657638,0.37186646,0.357868,0.35010064,0.34924412,0.34800813,0.3430026,0.33418155,0.32725593,0.3225474,0.32088163,0.31837603,0.31287554,0.30111158,0.28559807,0.27168897,0.26336882,0.25964662,0.25582826,0.25035718,0.2444861,0.2426123,0.24754627,0.259185,0.2724702,0.28037858,0.28000972,0.27398172,0.26768696,0.2616147,0.25416538,0.24404758,0.23625915,0.23543149,0.24264608,0.25169972,0.2562112,0.2557352,0.25486365,0.25734594,0.25873983,0.25589284,0.2509308,0.25383696,0.266623,0.28253016,0.29148656,0.29171807,0.2874461,0.2801068,0.26912996,0.2535371,0.23815112,0.2260199,0.2215323,0.22558421,0.23743582,0.24904871,0.25196198,0.2448212,0.23526199,0.23234136,0.23548307,0.23891026,0.23778947,0.23646702,0.24093246,0.2519244,0.26348773,0.2696923,0.27298716,0.27655146,0.28021896,0.27615282,0.2633775,0.2492208,0.24606247,0.2575131,0.27581975,0.28817117,0.28473556,0.2683467,0.25125796,0.25046948,0.26943484,0.29819205,0.31828916,0.32283798,0.31417155,0.2995775,0.2814097,0.2656734,0.26248363,0.2810699,0.31789663,0.35956654,0.3919897,0.40640077,0.39834425,0.37039304,0.33970985,0.33359155,0.3700252,0.4391574,0.5101464,0.55651385,0.5719773,0.565814,0.54685277,0.52324414,0.5067068,0.5156161,0.5610997,0.636662,0.71668935,0.7683099,0.76832265,0.7139184,0.6268979,0.538892,0.47515807,0.44089377,0.42974612,0.435457,0.4563408,0.48705247,0.51314765,0.5205002,0.50490063,0.47538888,0.44261527,0.4141027,0.3921959,0.379248,0.3759006,0.38014567,0.38691166,0.3918954,0.39544603,0.40136728,0.4134821,0.4297459,0.44547614,0.45572162,0.46120688,0.46268824,0.46084473,0.4537973,0.44260606,0.42997018,0.4198211,0.41412687,0.41247436,0.41157493,0.40833667,0.40226445,0.39649317,0.39253318,0.39063728,0.39044794,0.39640975,0.41012517,0.4292808,0.44475174,0.45228186,0.45044765,0.44220856,0.4291785,0.41695333,0.41116276,0.4128686,0.41506502,0.40964243,0.3960632,0.3802543,0.36887345,0.36317754,0.36143127,0.36081767,0.36038843,0.36017093,0.3595556,0.35690352,0.34966674,0.34011534,0.33176395,0.32961562,0.33150408,0.33491263,0.33560014,0.3341427,0.33109704,0.32762137,0.32503977,0.32447016,0.3306691,0.34504905,0.3686709,0.39353892,0.4143869,0.42610502,0.4327447,0.43693534,0.44054496,0.44113407,0.4365411,0.42794657,0.4168141,0.4069744,0.39864397,0.39451504,0.394044,0.39840794,0.40463507,0.40968645,0.40828004,0.39797962,0.38120544,0.36673996,0.3647746,0.37853077,0.40190506,0.42394245,0.438383,0.44530663,0.44755948,0.4469414,0.44368562,0.44072816,0.4397848,0.44306913,0.4461316,0.44622564,0.4387132,0.4265767,0.41173935,0.39902925,0.38822174,0.3794603,0.3701509,0.3581501,0.3419982,0.3224945,0.30371892,0.28867018,0.2796195,0.27547812,0.27503392,0.2750834,0.27250716,0.26599827,0.2576743,0.2524,0.2523446,0.25692424,0.26227257,0.2661409,0.26777694,0.2683657,0.26932797,0.27010068,0.269824,0.26657507,0.2620095,0.25722376,0.25419125,0.25170487,0.24944885,0.2472407,0.2460792,0.24739718,0.25090253,0.25587556,0.25794005,0.25634563,0.25248936,0.2539067,0.2629227,0.27664813,0.28613123,0.28727207,0.2829012,0.27955642,0.28193662,0.28893593,0.29915938,0.30974004,0.32099828,0.3314055,0.34138644,0.35078332,0.36002302,0.368878,0.37360537,0.37227798,0.3628278,0.35175958,0.3423911,0.33773458,0.33032015,0.31774202,0.2997854,0.28495705,0.27660513,0.27601764,0.2796037,0.28472427,0.28681102,0.28218445,0.27109477,0.25911933,0.25254878,0.252754,0.25678304,0.26186696,0.2666997,0.27072582,0.2714568,0.269367,0.26543257,0.26288465,0.26018333,0.25715068,0.25328934,0.25161687,0.25334883,0.25866833,0.2671531,0.2780094,0.29111084,0.30449677,0.31728333,0.32691562,0.3325083,0.33378854,0.33383402,0.3350911,0.33771706,0.3398141,0.3405775,0.34184,0.34388566,0.34519878,0.34198788,0.33438024,0.324361,0.31580913,0.3092644,0.3040337,0.30015656,0.29982415,0.30586007,0.3166821,0.3299394,0.3435161,0.35965824,0.37644684,0.38771418,0.3844271,0.36647674,0.34198177,0.32198665,0.31114408,0.30858216,0.31195927,0.31833282,0.32391644,0.32415926,0.31987253,0.31623212,0.31877124,0.3273746,0.3374425,0.34591997,0.35234702,0.35990644,0.36932865,0.38129982,0.3923185,0.39971176,0.40065274,0.39712653,0.3930353,0.3912371,0.3912629,0.38948464,0.38490415,0.3782332,0.37369668,0.37273386,0.37565365,0.37956092,0.38298622,0.38483524,0.3853085,0.38484916,0.3847265,0.3870944,0.39216053,0.39847496,0.40309525,0.4053907,0.40519658,0.4017781,0.39270952,0.3773528,0.35934472,0.34440815,0.336714,0.33503315,0.3362861,0.3371501,0.33709875,0.33592007,0.33349332,0.32920316,0.3218143,0.31174228,0.30018035,0.2916067,0.2881417,0.2911965,0.29825363,0.30872735,0.32014188,0.32996663,0.33338282,0.32897368,0.31968832,0.31106934,0.30731532,0.30735958,0.309589,0.3113562,0.3145537,0.31850314,0.3244367,0.33072627,0.3388555,0.34713173,0.352525,0.35067108,0.34050843,0.3262639,0.31275514,0.30560145,0.30581474,0.31325564,0.32228777,0.32822552,0.3281027,0.32460728,0.32248822,0.3242704,0.32985926,0.33592793,0.34229195,0.34936628,0.3589066,0.36767137,0.3713807,0.3687025,0.36501262,0.36839855,0.38194573,0.40368462,0.42834702,0.45291224,0.47323808,0.4854323,0.48634508,0.4782487,0.46709105,0.45744035,0.45121643,0.4467809,0.44518742,0.4453515,0.447654,0.44822192,0.44617987,0.4392234,0.4285344,0.41506457,0.4020877,0.391781,0.3836198,0.37653276,0.36961296,0.36610135,0.3661073,0.36790916,0.36486885,0.35463974,0.33814308,0.3208265,0.3059007,0.29449368,0.2861422,0.28079364,0.27843153,0.27769017,0.2777748,0.27901682,0.28225276,0.2857059,0.28508148,0.2778461,0.26508906,0.25183055,0.2419787,0.23818211,0.23935698,0.2432882,0.24645746,0.24757542,0.24710453,0.24630077,0.2459671,0.24575408,0.24663949,0.24792652,0.2494419,0.24839377,0.24507733,0.24050029,0.23893261,0.2436059,0.25504053,0.2693336,0.27839652,0.27723894,0.26435873,0.2445116,0.22187841,0.20229219,0.19009747,0.18794714,0.19391905,0.20347996,0.21400692,0.22318852,0.22844078,0.22601752,0.21768306,0.21009362,0.20934735,0.21497707,0.22046643,0.22159457,0.21781802,0.21358389,0.21076514,0.21073401,0.21272783,0.21857198,0.22971475,0.24505894,0.26085797,0.27155057,0.27689794,0.27632388,0.27305627,0.2656997,0.25817123,0.25105524,0.24819131,0.24814348,0.25263706,0.26071873,0.26992783,0.2741036,0.26927313,0.25956136,0.25053683,0.24647544,0.24288194,0.23859854,0.23227395,0.22770967,0.22353935,0.22031717,0.21708417,0.2150805,0.21448207,0.21549517,0.2197812,0.22607106,0.2332681,0.23829462,0.24326271,0.24919195,0.25556865,0.2582971,0.25479463,0.24836414,0.2428304,0.24216656,0.24259788,0.24225454,0.23897736,0.24078977,0.25699762,0.2956523,0.3526212,0.41330525,0.46264914,0.49197558,0.5051561,0.50800544,0.50679386,0.5037808,0.5011997,0.50261426,0.50833327,0.5161974,0.51875573,0.51269203,0.4995524,0.48510388,0.47192386,0.4584689,0.44350138,0.43072915,0.4242088,0.42583454,0.43258587,0.44262943,0.4542216,0.46462592,0.4710751,0.4714532,0.4689586,0.46544018,0.46332994,0.46282327,0.4680481,0.48448157,0.51393145,0.5496371,0.5765142,0.5852044,0.5756395,0.5614082,0.55050844,0.54565793,0.53571415,0.5153235,0.4817119,0.4437705,0.40654382,0.37498644,0.3486407,0.32962856,0.3183688,0.31410623,0.31393746,0.31606615,0.32093874,0.32847765,0.33702147,0.342908,0.343652,0.33940467,0.3328569,0.32689777,0.32117,0.31381413,0.3042364,0.29610422,0.29294088,0.29438004,0.29696074,0.29911694,0.30466115,0.31726244,0.33747813,0.3603487,0.3832196,0.40607548,0.432451,0.46231744,0.49079928,0.5095852,0.5125372,0.50251085,0.48703042,0.47403815,0.46272847,0.44976473,0.43256333,0.4135394,0.3955873,0.3803393,0.3710597,0.37335512,0.39385685,0.4325999,0.4827104,0.53208566,0.57046443,0.5921372,0.59744745,0.5896172,0.5727554,0.55084133,0.52988935,0.5166092,0.5143478,0.5193589,0.5229588,0.5190646,0.5070912,0.49230358,0.4782704,0.4678552,0.46065497,0.4581151,0.46000084,0.46631515,0.4756981,0.48620772,0.49504676,0.49804044,0.4937733,0.48351797,0.47173023,0.46130726,0.45316982,0.44727156,0.4430875,0.44096145,0.43845484,0.43409017,0.42527065,0.41400883,0.4022491,0.39266777,0.38375935,0.3732256,0.36022863,0.34703708,0.33783463,0.3340392,0.33570358,0.33897614,0.3410765,0.33874962,0.33386314,0.33021918,0.33111367,0.3356801,0.33888316,0.33939004,0.3368331,0.3356484,0.33490953,0.33602083,0.3354278,0.33337176,0.32744536,0.32089412,0.3169373,0.31960285,0.32822582,0.33829832,0.34532237,0.34557557,0.34136853,0.33514228,0.33195475,0.3304763,0.32955965,0.32633835,0.32322797,0.32124743,0.31863526,0.31088415,0.29729566,0.28442076,0.27928147,0.28364658,0.29056093,0.29300156,0.28787038,0.27920863,0.27193585,0.2685463,0.26705292,0.2635564,0.25741604,0.25057837,0.24840648,0.25149903,0.25840327,0.26229954,0.2612164,0.255986,0.25281855,0.2520307,0.24831595,0.23291157,0.20581698,0.17665756,0.15951566,0.16145085,0.1799333,0.20452528,0.2240359,0.2311415,0.22633171,0.21654677,0.21050732,0.21316308,0.2227184,0.23331554,0.23844476,0.23735787,0.23440914,0.23763005,0.24942152,0.26621056,0.28019723,0.28759325,0.28935322,0.28798077,0.28613225,0.2851826,0.28910902,0.29775533,0.30978554,0.31813064,0.32081422,0.31667706,0.31317687,0.318023,0.34269723,0.38775325,0.4426353,0.48488188,0.50013787,0.48933533,0.4665458,0.44297805,0.42205498,0.40334,0.38896778,0.38162443,0.38153422,0.38465083,0.3891203,0.39519814,0.4089775,0.4334718,0.4704865,0.51273376,0.5520349,0.57812387,0.5879111,0.5820824,0.5655762,0.54284173,0.5192503,0.50083345,0.49239454,0.49403882,0.49959207,0.50262135,0.49897304,0.490621,0.4786482,0.46489203,0.4493496,0.43526745,0.42500484,0.419042,0.41433203,0.40876403,0.40384653,0.4039527,0.41126743,0.4228971,0.4315177,0.4311621,0.42044246,0.40406385,0.3882761,0.3783203,0.37445652,0.3739119,0.37181696,0.3663417,0.3575429,0.3476667,0.33703712,0.3261219,0.3148199,0.30441144,0.2976669,0.29890314,0.31180832,0.33264363,0.3522328,0.36143088,0.3616471,0.35962865,0.35986343,0.35899746,0.3534493,0.34572026,0.34179214,0.34422007,0.34804973,0.34751236,0.3391429,0.32470834,0.30556467,0.28406367,0.26114485,0.2394318,0.22091757,0.20949024,0.20779586,0.21626014,0.23025666,0.24467008,0.2560568,0.26448965,0.27037978,0.2772217,0.2908955,0.3192334,0.36126027,0.40855923,0.44717953,0.47176453,0.4816147,0.48047534,0.47004828,0.45680144,0.45003238,0.45584354,0.47039303,0.4829779,0.48816442,0.48970273,0.49609637,0.5087938,0.5199678,0.52028143,0.5092774,0.49784842,0.49649,0.50727385,0.52079004,0.52764195,0.5221285,0.5056273,0.48143724,0.45567748,0.43479517,0.42326903,0.42061368,0.42180154,0.423179,0.42385173,0.42569506,0.4275892,0.4273493,0.423903,0.42009482,0.4186884,0.41848168,0.41593707,0.40891656,0.40041295,0.39387593,0.39236483,0.39459324,0.39989972,0.40411887,0.40444633,0.39647016,0.3818339,0.36382413,0.3474938,0.3342764,0.32517245,0.32242212,0.32805333,0.340735,0.35381123,0.3611565,0.36062646,0.35489437,0.34722114,0.33844924,0.32970238,0.32242444,0.3215587,0.32669505,0.33527914,0.33795235,0.3324832,0.3186024,0.30334553,0.28850403,0.27627417,0.2660715,0.25986168,0.25778133,0.2580748,0.25812393,0.2559062,0.25144243,0.24476741,0.23813118,0.23461695,0.2374463,0.24697243,0.26171604,0.2802744,0.29975554,0.31600097,0.32501575,0.32927552,0.33526555,0.3463947,0.35865545,0.36417416,0.3616393,0.35385823,0.3466669,0.33994234,0.33532038,0.33218607,0.33186015,0.3294188,0.32114074,0.30631056,0.2909267,0.28195462,0.2793921,0.27875063,0.27197158,0.2590589,0.2427624,0.23065533,0.22538902,0.22743396,0.23369867,0.24122693,0.2503865,0.26175058,0.27772045,0.29394075,0.30945268,0.32232538,0.33781266,0.35322273,0.36325455,0.35932907,0.34334835,0.32418847,0.31132185,0.30876616,0.31248772,0.3180547,0.31814766,0.31237075,0.3003963,0.2879124,0.27599987,0.26800644,0.2659261,0.27304587,0.2891347,0.30850533,0.32717562,0.34075773,0.35186803,0.358062,0.36243987,0.36515275,0.37717673,0.40640953,0.45923615,0.52329177,0.57794666,0.60175663,0.59088546,0.5554851,0.5119962,0.47285426,0.44297206,0.42224097,0.4067061,0.39504752,0.3876603,0.38538384,0.38754582,0.39639267,0.4222307,0.4745535,0.5494859,0.6202244,0.65695137,0.6453285,0.6015651,0.5511928,0.5139064,0.4908856,0.47602513,0.46571112,0.46015397,0.46159825,0.4661627,0.47007886,0.47083738,0.47097185,0.4716191,0.46876946,0.45737302,0.43808982,0.41923514,0.40984848,0.41024026,0.41477585,0.41562805,0.41330442,0.410813,0.4122086,0.41498017,0.41714612,0.41825318,0.42179573,0.42787266,0.43516102,0.4414986,0.44898644,0.4563705,0.46030092,0.4550613,0.44255194,0.42692605,0.41115746,0.39264455,0.37071648,0.34994265,0.33609733,0.3298105,0.32563588,0.31915173,0.31075832,0.3044792,0.3030384,0.30545735,0.30925974,0.3121828,0.31503192,0.31859308,0.32405022,0.3290666,0.3317856,0.3301301,0.3251532,0.31804097,0.30945346,0.29945123,0.28799212,0.27833423,0.27353856,0.2765794,0.2845221,0.29286262,0.29762805,0.29892227,0.29846618,0.29584447,0.29309955,0.29502475,0.3123367,0.34834674,0.3984305,0.44589147,0.47751758,0.48519087,0.47343728,0.4503688,0.4275739,0.41245088,0.40740645,0.40859303,0.4085567,0.40384832,0.39595583,0.3947358,0.41012582,0.44803038,0.5018937,0.55510587,0.58987117,0.5970681,0.58088493,0.5524483,0.52525586,0.5090545,0.5078999,0.517445,0.52703065,0.52778953,0.51682776,0.50057787,0.48449704,0.47323868,0.46488988,0.45984462,0.45598352,0.45237827,0.44629785,0.4378574,0.42974386,0.42358983,0.42098033,0.4206016,0.4239322,0.42842528,0.43306282,0.43410313,0.43233332,0.42790034,0.42361343,0.42159247,0.4229962,0.42479786,0.42024514,0.4064903,0.38681674,0.3704592,0.36198375,0.3603691,0.35953745,0.35566816,0.34978938,0.34554806,0.3468118,0.35000905,0.35013008,0.34138212,0.32783356,0.31486425,0.30718663,0.3018699,0.2955667,0.28820255,0.28260502,0.2814411,0.2821349,0.28258207,0.2807984,0.2801411,0.2825229,0.28779984,0.2925482,0.29426712,0.29610953,0.3005875,0.30913374,0.315178,0.31661624,0.31396416,0.31515357,0.32216918,0.3325772,0.33981833,0.34138787,0.3404754,0.3398029,0.34235695,0.34458134,0.3470186,0.34580216,0.34380624,0.33910105,0.3360019,0.33363524,0.33415827,0.3348433,0.33468065,0.33208987,0.3269975,0.32115328,0.31401756,0.30509588,0.29134348,0.2756903,0.26424155,0.26368627,0.27420518,0.2895272,0.30564103,0.31930396,0.33127418,0.3370519,0.33742014,0.33289972,0.32963276,0.3281977,0.32861766,0.32767215,0.32291123,0.31303105,0.29838642,0.28358248,0.27064288,0.2613789,0.25479886,0.25482377,0.2639329,0.27977356,0.29329062,0.29654443,0.29198772,0.28593698,0.28434837,0.28318965,0.28100765,0.27770945,0.27889714,0.28310397,0.28595296,0.2834935,0.2783759,0.27647626,0.27936757,0.2898035,0.31258944,0.35648,0.41627797,0.47277084,0.50335145,0.50415134,0.49101052,0.48062074,0.47755265,0.47307983,0.46310833,0.4479674,0.43287262,0.41724396,0.40129098,0.38808098,0.38668272,0.40612683,0.44699064,0.49893913,0.5417344,0.5605021,0.5519783,0.52894944,0.5048916,0.48823282,0.47828653,0.4731188,0.470803,0.4688699,0.4651269,0.45906308,0.45449996,0.4530346,0.45349443,0.45073366,0.4435185,0.43289766,0.42209676,0.4125687,0.40573183,0.4021906,0.4005517,0.39880252,0.39607796,0.39550328,0.39900377,0.40708598,0.4164705,0.42515275,0.43075195,0.4323455,0.43075228,0.42811987,0.42697516,0.42482057,0.41979623,0.4112277,0.40548268,0.4063917,0.41420725,0.42200866,0.42428693,0.41836765,0.40621135,0.3924185,0.38193008,0.37906075,0.3824897,0.38900688,0.3935546,0.39488196,0.39273,0.38886046,0.38600734,0.38550714,0.38650262,0.38363585,0.37477973,0.35984835,0.34304783,0.32678786,0.3145045,0.30932876,0.3118403,0.31883684,0.3234661,0.32432637,0.3217091,0.3202432,0.3185316,0.31776533,0.31613386,0.31818178,0.32651043,0.34830156,0.38542947,0.4357067,0.48557386,0.5197573,0.52742773,0.5123512,0.4883027,0.4716355,0.46920112,0.47616073,0.48085156,0.4751178,0.4608877,0.44865885,0.45073724,0.47149578,0.5047908,0.5380488,0.5620819,0.57563114,0.5815266,0.5823726,0.57700354,0.56418777,0.5429078,0.51564723,0.4897425,0.47379676,0.47322008,0.4818637,0.48952898,0.487103,0.47558287,0.46064317,0.44809034,0.44075167,0.4395362,0.4458827,0.45768407,0.46976414,0.47414258,0.46889734,0.458541,0.4508892,0.44784093,0.44405952,0.43341926,0.41526103,0.3960228,0.381947,0.37585703,0.37557718,0.37777948,0.38010225,0.3820335,0.38501763,0.3891277,0.39497802,0.40171385,0.41187748,0.4237218,0.43431243,0.43553904,0.42676365,0.4115013,0.39859363,0.39174303,0.39018634,0.3903445,0.3879323,0.38235763,0.37294757,0.3635292,0.35545075,0.35106686,0.34858415,0.34589502,0.34241334,0.3405573,0.34603176,0.35733593,0.3680818,0.3677771,0.3567338,0.3423625,0.33348766,0.33094904,0.32972488,0.32835233,0.32665303,0.32724282,0.32548603,0.3199347,0.3083832,0.29599318,0.28591558,0.2809172,0.27903065,0.27663156,0.27303028,0.26988566,0.27163175,0.27617598,0.27957514,0.27726772,0.27233973,0.27034852,0.2736996,0.27966133,0.28259978,0.2837862,0.28546754,0.29175565,0.2973334,0.2980843,0.2890167,0.27403092,0.2581223,0.24863608,0.24930699,0.2590506,0.27377257,0.28791118,0.3028048,0.32004666,0.34134123,0.3598404,0.36965182,0.36817303,0.36054435,0.35299858,0.34734225,0.34237126,0.33419427,0.32504544,0.3159183,0.310359,0.30405986,0.29538488,0.2827877,0.27217567,0.2693243,0.2767227,0.29322216,0.3121544,0.33054316,0.34172115,0.347096,0.34391543,0.33718863,0.32500902,0.31269738,0.30401686,0.3121481,0.34303513,0.39286008,0.4424373,0.47167823,0.4728776,0.4530007,0.4292355,0.41574395,0.4195831,0.43506303,0.4493669,0.4514208,0.44043705,0.42432585,0.41187826,0.41015646,0.4280559,0.47435033,0.54601663,0.6200411,0.6656666,0.66760707,0.63853925,0.6040465,0.58322287,0.5773956,0.5793128,0.58036715,0.5743955,0.55929166,0.5371533,0.5174895,0.50643975,0.5048745,0.5040853,0.5001511,0.4943385,0.49292538,0.4938016,0.49117485,0.4812517,0.4714876,0.4706523,0.481499,0.49713072,0.5105471,0.5200495,0.5286102,0.5382964,0.5449002,0.54047036,0.51868004,0.48311117,0.44600284,0.42005804,0.41156033,0.41672823,0.4298264,0.4417447,0.4483851,0.44562253,0.43777713,0.42844316,0.42236957,0.417282,0.41076553,0.40100184,0.38969967,0.37882885,0.36808562,0.3577541,0.3485084,0.3436006,0.34353113,0.3465923,0.35009274,0.35263744,0.3568977,0.3630209,0.37183866,0.37929294,0.3874234,0.39829743,0.41716668,0.44024456,0.45952868,0.4660307,0.46001315,0.4491371,0.44156113,0.43933448,0.43881845,0.43625262,0.43187132,0.42971873,0.43557504,0.45352483,0.48435906,0.5232387,0.56032425,0.58427763,0.588628,0.57655954,0.5591672,0.54640603,0.5407071,0.53469896,0.52271265,0.50373024,0.48596522,0.47673404,0.4834977,0.5079978,0.54716355,0.58741444,0.6123914,0.6113673,0.5894031,0.56011754,0.5376885,0.5272003,0.5278928,0.5331838,0.5360225,0.5289438,0.51155424,0.4877758,0.46541432,0.44712436,0.43339786,0.4226826,0.41645458,0.41618535,0.42251137,0.43357906,0.44503406,0.45193067,0.4499887,0.440765,0.4285109,0.41959527,0.41539857,0.41631913,0.42015553,0.424955,0.42674294,0.42285332,0.4146844,0.40596712,0.40011778,0.39650142,0.39401826,0.3910559,0.38685432,0.38110813,0.3748847,0.37075135,0.36767533,0.36376414,0.35574368,0.34713665,0.3401966,0.33730498,0.33389974,0.32889977,0.32253727,0.31903467,0.31842306,0.31793097,0.31486905,0.31022215,0.30926225,0.31459177,0.32555792,0.3362669,0.34320268,0.34558067,0.3459132,0.34506866,0.34063408,0.3310021,0.31630996,0.3024927,0.29277313,0.29021975,0.2910761,0.29361296,0.29379234,0.29200315,0.28842768,0.285893,0.28706554,0.29220048,0.30066544,0.30825618,0.31485316,0.31968585,0.32674804,0.3371381,0.35148916,0.36619988,0.3763272,0.37948415,0.3747233,0.36559615,0.35218108,0.33842686,0.32473007,0.3152107,0.30756733,0.30247712,0.30003884,0.30426368,0.3140476,0.32193932,0.32083172,0.30988112,0.29860756,0.29296634,0.29394028,0.29444838,0.29219714,0.28925255,0.29189786,0.30212334,0.31501368,0.3216848,0.31661746,0.3046557,0.29686674,0.2999713,0.30942962,0.3133286,0.30791545,0.29853794,0.29773855,0.30663708,0.32243297,0.33657622,0.35134426,0.3656197,0.3799914,0.3878102,0.38959256,0.3875347,0.38560697,0.3837941,0.38053027,0.3794104,0.38492134,0.40600327,0.44276905,0.49227938,0.5389681,0.57166004,0.5829204,0.57767993,0.56185377,0.5393724,0.514495,0.49172768,0.47953975,0.47665712,0.48041627,0.48336872,0.48771885,0.49506703,0.5077129,0.52178884,0.53257537,0.5366304,0.5319836,0.52094644,0.5058548,0.49169526,0.47970816,0.471104,0.46380118,0.45730174,0.45117614,0.44703838,0.4454843,0.44471166,0.44174853,0.43454036,0.42508316,0.41596833,0.40914282,0.40521,0.4051968,0.41127706,0.42270645,0.43702188,0.44840518,0.45399344,0.45250854,0.44818544,0.44471776,0.4448881,0.44708744,0.4495994,0.4522924,0.45492268,0.4589986,0.46585822,0.48239002,0.5077432,0.5342563,0.5433041,0.52830154,0.4952608,0.4630264,0.4412912,0.429705,0.4206903,0.41138706,0.40324047,0.39797235,0.39498112,0.39270875,0.3907013,0.38898253,0.3878822,0.38979974,0.39642644,0.40692735,0.4144621,0.4153078,0.4102076,0.40598848,0.404521,0.40454403,0.4025127,0.39829013,0.39203155,0.3830485,0.37256405,0.36371183,0.36238566,0.3687332,0.381066,0.3933209,0.40319276,0.40774068,0.40903452,0.41138884,0.42245233,0.44486094,0.47299448,0.4950603,0.5017471,0.49266395,0.47544584,0.4610329,0.45686284,0.46371707,0.47502664,0.4845463,0.4917613,0.50341177,0.52243966,0.54448587,0.5604942,0.56920344,0.5756479,0.58462507,0.5925091,0.591758,0.5783589,0.5558606,0.53274673,0.51727813,0.5124069,0.51561016,0.51978546,0.51906085,0.5107561,0.49703202,0.48347628,0.4739991,0.47128168,0.4733485,0.48208103,0.49585047,0.5131127,0.52337843,0.52263147,0.5109367,0.49808285,0.48579124,0.47292325,0.4560615,0.44166708,0.43594316,0.43851754,0.43854558,0.42751446,0.40883383,0.39775193,0.4069496,0.4344149,0.46243265,0.47423282,0.46607175,0.4494697,0.43543527,0.42980623,0.43171954,0.44101003,0.4521476,0.45608842,0.44570652,0.4244709,0.4024895,0.38419792,0.36902896,0.35510936,0.34830165,0.34982228,0.35747874,0.36206195,0.36181083,0.35596213,0.34702107,0.33454737,0.32091752,0.30869687,0.29872546,0.29057527,0.2835058,0.2789339,0.27525342,0.27029732,0.26175743,0.25204,0.24522333,0.2457221,0.25521594,0.27048752,0.2849098,0.29145777,0.29005447,0.2848886,0.28034416,0.2757988,0.26895425,0.26129445,0.2565939,0.25904372,0.26528892,0.27111593,0.27181074,0.27181444,0.27402082,0.27894604,0.27907792,0.2729882,0.26647174,0.26889846,0.28065082,0.29372048,0.30166328,0.30312335,0.29978907,0.28966406,0.2730997,0.2537398,0.23796852,0.22944893,0.22915022,0.23730683,0.24940336,0.25841793,0.25742447,0.24943508,0.24247839,0.24235427,0.2467285,0.24924369,0.24964134,0.25119,0.25916865,0.2690264,0.27640307,0.27796733,0.28001127,0.28430197,0.28663504,0.27955163,0.26458862,0.25417235,0.25707737,0.27367863,0.29020846,0.29644373,0.28491548,0.26529694,0.25336197,0.26995474,0.32061005,0.39483318,0.46950674,0.5245542,0.5497079,0.5459262,0.522461,0.4941504,0.47386754,0.4662474,0.46722016,0.47065362,0.47263512,0.47033992,0.46046832,0.44706956,0.44364735,0.4711474,0.5362017,0.62449163,0.7028163,0.7436731,0.7383606,0.69886684,0.64666325,0.603637,0.5879151,0.6072972,0.6575546,0.7194843,0.7699501,0.7860994,0.7589285,0.69454646,0.6152306,0.5459849,0.50028783,0.47926357,0.47578573,0.48851624,0.5128313,0.54084784,0.5555795,0.5480089,0.51959807,0.4823085,0.44549978,0.4138042,0.38893995,0.37310898,0.36727986,0.36923906,0.37474963,0.38084698,0.3868835,0.39403045,0.40266237,0.4128385,0.42398706,0.4367204,0.4502178,0.4619632,0.4678308,0.46615136,0.45891705,0.44894886,0.43945327,0.43101835,0.42581236,0.42135063,0.4177762,0.41303813,0.41065428,0.40914544,0.40974692,0.41238192,0.4228802,0.44031307,0.4591832,0.46929565,0.4688709,0.46014544,0.44778767,0.43408892,0.42337772,0.41834688,0.4160304,0.40913606,0.39427373,0.3762697,0.3625587,0.3554541,0.3526981,0.34986258,0.3474392,0.34823644,0.36195362,0.39381838,0.4437114,0.49628887,0.53542256,0.550324,0.54456186,0.52810526,0.5081133,0.48891807,0.4694068,0.45460606,0.44628906,0.4500618,0.46276987,0.48379603,0.5099965,0.54362535,0.5820319,0.6193366,0.6456477,0.6564434,0.6524938,0.63796234,0.6168385,0.592802,0.57047635,0.55248284,0.54032606,0.53362435,0.53246886,0.53548527,0.5389576,0.53878146,0.5310239,0.51618385,0.49549472,0.47518358,0.46056005,0.45723036,0.46371558,0.47500017,0.48583102,0.4936998,0.49913636,0.49980107,0.49574682,0.48677143,0.4782171,0.47204056,0.4703585,0.47060224,0.47204491,0.4720612,0.46949807,0.46244442,0.45156455,0.43931246,0.42836848,0.41916886,0.4083979,0.39366457,0.3754128,0.35864556,0.3477435,0.3445386,0.34733936,0.3522729,0.35526344,0.35344887,0.3486861,0.345567,0.34823498,0.35545564,0.36161888,0.3617611,0.35465422,0.34470335,0.3354261,0.32898417,0.32189134,0.31272444,0.30100277,0.2902558,0.2815033,0.27409682,0.26670387,0.25906885,0.25318623,0.24954624,0.24991722,0.2529978,0.25706258,0.25726023,0.2528539,0.24812345,0.24999957,0.2609118,0.27423823,0.28326884,0.28438684,0.28364828,0.28509557,0.2916492,0.299585,0.30680898,0.3121073,0.31718585,0.32453728,0.334774,0.3483673,0.36195216,0.3734348,0.3771011,0.372992,0.36215892,0.35272887,0.34611797,0.34004736,0.3260399,0.30355668,0.27917683,0.2625742,0.25779116,0.26114604,0.26802906,0.27259007,0.272231,0.26454508,0.2532635,0.24392639,0.24092478,0.24403746,0.24980967,0.2571354,0.2636281,0.26797244,0.26667467,0.2620395,0.2575821,0.2571008,0.2592025,0.2610444,0.26165295,0.26127028,0.26186338,0.26378775,0.26957354,0.27905044,0.29183933,0.3045652,0.31519642,0.32177493,0.32571974,0.33402327,0.3575048,0.40164748,0.45569202,0.49952033,0.5173459,0.5134915,0.50125235,0.4932022,0.48824576,0.48267922,0.4738603,0.46446297,0.45649382,0.44882882,0.44170126,0.43516317,0.43364748,0.43922874,0.4584261,0.492781,0.5384176,0.57886034,0.597287,0.5872777,0.55728024,0.52302366,0.4945633,0.47480774,0.46104154,0.450532,0.44065285,0.43007624,0.4207964,0.41653225,0.4195229,0.42534634,0.4275956,0.42177007,0.41070545,0.39912388,0.3916676,0.38962808,0.392915,0.3999407,0.40764773,0.41413155,0.41840407,0.42220083,0.42483044,0.42559052,0.42181385,0.41429773,0.4043745,0.39548707,0.38959423,0.3879827,0.39015445,0.3944799,0.39924213,0.40309015,0.4063861,0.41036794,0.41655126,0.42523834,0.43489,0.44444928,0.4525722,0.4589156,0.4596419,0.4519951,0.434433,0.41243982,0.39202833,0.37791142,0.36819008,0.35989094,0.35143408,0.34560528,0.34559765,0.35076973,0.35630193,0.35594967,0.34924898,0.33993173,0.3338529,0.33178002,0.33213815,0.33317783,0.33544078,0.33880377,0.3397832,0.3350284,0.3236303,0.31202018,0.30897424,0.32524183,0.36383343,0.41909108,0.4729534,0.50717896,0.51349014,0.50048965,0.48577663,0.48008764,0.48228768,0.47970784,0.4649544,0.43701553,0.40758404,0.38745952,0.38754916,0.40744734,0.44134822,0.47536087,0.4994177,0.5091275,0.5086462,0.5037622,0.4979218,0.49222246,0.48789683,0.48768473,0.49312234,0.5015226,0.5068798,0.5034036,0.49124566,0.4755349,0.46256316,0.45518103,0.45346963,0.4588084,0.47052023,0.48540744,0.4934826,0.49084356,0.47842988,0.4660906,0.45725572,0.45295694,0.44860247,0.4443821,0.43985543,0.43638352,0.43229166,0.42616227,0.4156216,0.3996004,0.38040376,0.36191702,0.3479977,0.33666292,0.32588586,0.31537306,0.30978742,0.31089875,0.31473938,0.31421617,0.30501413,0.28974524,0.27283928,0.25900188,0.24928707,0.24440564,0.24325077,0.24458206,0.24706967,0.25041547,0.2556087,0.26088023,0.26315486,0.25770763,0.24530399,0.22927378,0.21596533,0.20884909,0.20922537,0.21523267,0.22253089,0.22821933,0.22987509,0.22960074,0.2272585,0.22557278,0.22475551,0.22770536,0.23309572,0.23866503,0.24042006,0.2374254,0.23288883,0.23168679,0.23817755,0.25013304,0.2615619,0.26468396,0.2578244,0.24337132,0.22554775,0.20762467,0.19326848,0.18703318,0.18921374,0.19663976,0.20433807,0.21155961,0.21768123,0.22023357,0.21674001,0.20905982,0.20440553,0.20566015,0.21113639,0.21386616,0.21254192,0.20838903,0.2059726,0.20633328,0.20938754,0.21489416,0.22352819,0.23699528,0.25296715,0.26906303,0.28020003,0.28683254,0.28770593,0.28536305,0.27941152,0.2739247,0.27071556,0.27140117,0.27489367,0.2799509,0.28621238,0.28905234,0.28616384,0.2758018,0.26562366,0.2588806,0.2568997,0.25361547,0.24823105,0.24159749,0.23603235,0.2310102,0.22541559,0.22194569,0.2249235,0.24471122,0.28775513,0.3554567,0.43052027,0.49034628,0.5168285,0.5123008,0.49205515,0.47116116,0.45765603,0.45057237,0.4494244,0.44915798,0.44628397,0.4339635,0.41418943,0.39378533,0.38892415,0.4111748,0.46221045,0.5258438,0.5766801,0.5953786,0.58019406,0.5472117,0.5175519,0.5044687,0.50850624,0.5199003,0.52842826,0.5275201,0.51518875,0.49260676,0.4639987,0.4377381,0.42049423,0.41252908,0.4089092,0.40510297,0.40242568,0.4031866,0.40901282,0.41900063,0.4316982,0.44530037,0.4559643,0.46188116,0.46268475,0.46179664,0.46062395,0.45831978,0.4539602,0.45041564,0.4565141,0.4761579,0.5060417,0.53230065,0.54649556,0.5469988,0.54198927,0.53515655,0.52536416,0.50548786,0.474355,0.43664238,0.40185073,0.37429175,0.35342562,0.33605206,0.32131216,0.30947837,0.3007767,0.29534945,0.29442665,0.29879427,0.3075315,0.31734845,0.3248693,0.3274841,0.3248023,0.31822464,0.30935144,0.29880324,0.28675285,0.27680555,0.27340293,0.27854434,0.28687498,0.2933806,0.2977738,0.30588377,0.32010487,0.33688128,0.35183415,0.3656063,0.3842045,0.41082522,0.44358692,0.47446084,0.4937016,0.4959011,0.48419556,0.47055745,0.4630697,0.46059713,0.45291662,0.43566778,0.41398358,0.3996425,0.39756975,0.40459466,0.41483405,0.42988765,0.45605388,0.49468866,0.53582746,0.56488276,0.57460284,0.5686963,0.5563681,0.543415,0.53086805,0.51574045,0.49652478,0.4740813,0.45345476,0.43969372,0.4344838,0.43488705,0.43468747,0.43043342,0.42139027,0.4127271,0.40912548,0.41547087,0.43092105,0.45208505,0.4717442,0.48353305,0.48418465,0.47496605,0.4615818,0.4481896,0.43819046,0.4294689,0.4219148,0.41323325,0.40588573,0.3988177,0.39274094,0.38482368,0.37558386,0.365173,0.3543649,0.3419546,0.32727212,0.31291237,0.3032107,0.30111146,0.30528465,0.3118299,0.3178315,0.32106733,0.3219556,0.32033846,0.31912544,0.3184326,0.31950608,0.320318,0.32208523,0.3243381,0.32764626,0.33051178,0.3319651,0.3315469,0.32777908,0.32231736,0.3162937,0.3153583,0.31898645,0.32785204,0.33561972,0.34107634,0.34026313,0.3364407,0.3311812,0.3280928,0.32586333,0.3227583,0.31909478,0.3159323,0.31394574,0.30759844,0.29580286,0.28159383,0.2755325,0.2810669,0.2933923,0.30089638,0.29682425,0.28384176,0.2703235,0.263545,0.26310396,0.26413187,0.26154003,0.2558553,0.25158074,0.25312164,0.26085654,0.26971665,0.27444792,0.2719601,0.26658186,0.26148534,0.25699362,0.244798,0.22124173,0.1900869,0.1650837,0.15695085,0.16811746,0.19164251,0.21597649,0.23136218,0.23270603,0.2238192,0.21300195,0.20896828,0.21399766,0.22436501,0.23347037,0.23651229,0.23446822,0.23267837,0.23741056,0.24919765,0.26300672,0.27337882,0.2782384,0.27981555,0.2781293,0.2755582,0.27386767,0.27893126,0.2897331,0.30264175,0.31021833,0.3105842,0.30650702,0.30539837,0.31750903,0.34887442,0.39757574,0.44765985,0.48196673,0.4895512,0.47550938,0.4498981,0.4231452,0.39912462,0.3808864,0.3707355,0.36935428,0.37507525,0.38311395,0.39314523,0.40543774,0.42399907,0.4467341,0.46973336,0.48585403,0.4922143,0.49057183,0.48387697,0.4754002,0.4643564,0.45253,0.4398876,0.43041125,0.42517468,0.42639992,0.43004766,0.43281034,0.42930266,0.42046443,0.4063448,0.38948074,0.3694677,0.3484436,0.3286035,0.31217206,0.30015734,0.2928926,0.2930672,0.30282232,0.32224765,0.34589842,0.36573002,0.37563923,0.3739945,0.3655982,0.3549031,0.34696794,0.33978757,0.33224702,0.3199364,0.304822,0.28858793,0.27634737,0.26944175,0.26751214,0.26692888,0.2650893,0.2636831,0.2691442,0.2865617,0.31329703,0.3388215,0.3557144,0.36337838,0.36766538,0.3680732,0.3626012,0.34903488,0.334754,0.32509497,0.32204416,0.31974173,0.3147588,0.3059882,0.29465032,0.28083146,0.26467988,0.24774964,0.23217966,0.22061716,0.2155788,0.21790068,0.22504634,0.23155987,0.23463635,0.23531924,0.23749453,0.24413818,0.25894022,0.28793624,0.3344222,0.3933859,0.44823846,0.4845976,0.49684325,0.49333593,0.48183918,0.46956635,0.45840332,0.4543557,0.458778,0.470167,0.48020384,0.48467848,0.48635674,0.49244007,0.5068603,0.5225668,0.5308698,0.5256842,0.51221424,0.4967015,0.48453248,0.47578335,0.4697477,0.4656541,0.46184555,0.45758703,0.45182827,0.44677448,0.44232693,0.43883947,0.43315303,0.4259124,0.41778064,0.41251215,0.4100791,0.41038764,0.41159666,0.4132402,0.41395143,0.4119253,0.4072961,0.40141356,0.39727828,0.3943627,0.39273155,0.39180923,0.3931674,0.39441016,0.39104488,0.37929437,0.36108366,0.34255162,0.32709238,0.31553698,0.306625,0.30333892,0.30696,0.3159804,0.32402667,0.3264155,0.32339153,0.31754196,0.31160998,0.30486193,0.29888335,0.29625592,0.3009746,0.3110474,0.31926766,0.31688184,0.30083132,0.2755497,0.24855459,0.22684039,0.21374804,0.2112847,0.21738426,0.22829585,0.23772652,0.24258225,0.24155867,0.23594934,0.22772066,0.22069556,0.21932232,0.22539712,0.237952,0.2545735,0.27371457,0.29269707,0.30738628,0.3164166,0.32261956,0.33146462,0.341612,0.34849954,0.3469871,0.34103212,0.33531454,0.33359626,0.33321276,0.33263782,0.33145383,0.32871723,0.32191333,0.30726552,0.28885818,0.2721754,0.2646395,0.2623661,0.2600444,0.2502986,0.23531283,0.21964963,0.20951807,0.20731668,0.21173042,0.22039695,0.22976647,0.24068733,0.25341985,0.26864192,0.28264394,0.29411796,0.30516803,0.3185502,0.3324155,0.3376007,0.33066857,0.31367758,0.2993474,0.29248157,0.29602972,0.30141613,0.3049492,0.30032912,0.29067585,0.27797818,0.2670267,0.25895122,0.25527585,0.25882128,0.2695211,0.28634223,0.30332592,0.31926903,0.3318431,0.3416792,0.34645474,0.34777257,0.3509988,0.36552835,0.39967558,0.4524283,0.5121992,0.5574257,0.5723563,0.5525544,0.5115631,0.46598816,0.43134132,0.41066086,0.4026228,0.40135884,0.40453088,0.4098666,0.41619217,0.422313,0.43074134,0.4476728,0.47844067,0.52091336,0.5628402,0.5904612,0.5958236,0.5830242,0.56093997,0.53857213,0.52050346,0.5075411,0.49876282,0.4920036,0.4861102,0.48115122,0.47665584,0.47290102,0.46782586,0.46098062,0.44987097,0.43521103,0.42002615,0.41115367,0.41291526,0.4244198,0.4400287,0.4552783,0.46847734,0.47966424,0.48736072,0.4892157,0.485407,0.47826517,0.47247657,0.4697896,0.47222707,0.48035142,0.49339733,0.50544256,0.50712454,0.49622884,0.4778098,0.46210155,0.4493672,0.43579698,0.41724262,0.39882445,0.38662913,0.38210762,0.3790476,0.3704444,0.35569403,0.34159973,0.33692297,0.34470752,0.36060134,0.37663922,0.3870031,0.3907561,0.39041328,0.38961852,0.38976964,0.39109567,0.391772,0.39113787,0.38684353,0.3786465,0.36728385,0.35749742,0.3529079,0.35335925,0.3550798,0.35368848,0.3497819,0.34447923,0.3401803,0.33561906,0.33437014,0.34219018,0.36667934,0.4043509,0.44243482,0.46543717,0.46939826,0.46163276,0.45206216,0.44515327,0.4387567,0.43209633,0.4247035,0.41895866,0.4126797,0.40499803,0.39632633,0.39437485,0.4081502,0.44057712,0.48388413,0.5220986,0.5431709,0.5430978,0.5293169,0.51049787,0.49506965,0.48473608,0.4808588,0.48128304,0.48437557,0.4852022,0.481094,0.47092375,0.45743763,0.44292864,0.43059102,0.42216197,0.419322,0.42004266,0.42176488,0.42071626,0.41608647,0.40795255,0.4004276,0.39728746,0.39948583,0.40191603,0.39816532,0.3884976,0.37796164,0.3737632,0.3752598,0.38023898,0.3819674,0.37728044,0.36254188,0.34216952,0.32321712,0.31341258,0.31243062,0.31467143,0.31488097,0.31194162,0.30967736,0.31067303,0.31611633,0.32195374,0.32428345,0.3207613,0.3138667,0.3074535,0.30196938,0.29616177,0.28799313,0.2811133,0.27775952,0.2792661,0.28076568,0.2796351,0.27630746,0.2756475,0.2813746,0.2914961,0.3022274,0.30940315,0.31542376,0.32176337,0.32920384,0.333637,0.33328032,0.33071312,0.3304232,0.3355875,0.3424531,0.3488755,0.3515327,0.35348555,0.35350418,0.35402212,0.35413146,0.35747516,0.36251947,0.36712217,0.36666977,0.3612789,0.3546265,0.3497723,0.34740448,0.34332487,0.3366463,0.3268151,0.31799588,0.30913854,0.29790035,0.28013125,0.2592785,0.24490644,0.24431853,0.2567372,0.2723591,0.28587273,0.2961663,0.30679205,0.31662673,0.32321417,0.32480896,0.32165968,0.31719372,0.3129314,0.31263685,0.31352293,0.31471995,0.31090465,0.30420148,0.294839,0.2877923,0.28492674,0.2893665,0.2997154,0.30990013,0.31397524,0.30974796,0.30467048,0.303044,0.3060814,0.30632904,0.30266964,0.29687086,0.2942516,0.29330683,0.2904979,0.28491697,0.2805183,0.28271055,0.29205295,0.30996892,0.33768153,0.3787568,0.42653582,0.46919534,0.4938898,0.5005823,0.49740434,0.4902637,0.47874525,0.45855042,0.43604013,0.41928086,0.41613102,0.42056718,0.42640528,0.4306978,0.44081917,0.46260026,0.49354783,0.5225236,0.5380209,0.53721124,0.5242052,0.5067163,0.48977625,0.4756701,0.4647521,0.45678028,0.45239428,0.45037878,0.44909716,0.44610775,0.44325826,0.4420135,0.44322327,0.4423147,0.43750858,0.42919984,0.42103,0.41438183,0.40754512,0.39917073,0.38752723,0.37504783,0.36387125,0.35730994,0.3535564,0.34920323,0.34151563,0.3328193,0.3271066,0.32620183,0.32973424,0.33614758,0.34486854,0.3521137,0.35586786,0.35518864,0.35536778,0.35810235,0.3629336,0.36483446,0.36265293,0.35687742,0.34898925,0.34024253,0.33180702,0.3260404,0.32236567,0.32035637,0.31910518,0.31959307,0.32215965,0.32698563,0.33505952,0.34468523,0.35080063,0.34510005,0.32616553,0.3000474,0.27725652,0.26303563,0.25689533,0.25645614,0.2594274,0.26477563,0.26887274,0.27042058,0.26819503,0.26527527,0.2627478,0.26216555,0.26312223,0.2697043,0.28913626,0.3282883,0.3828154,0.43710175,0.47288343,0.48450255,0.47832167,0.46597502,0.45312187,0.44269988,0.43589982,0.43458474,0.43598807,0.43613505,0.4328229,0.43313482,0.4465077,0.47862613,0.51977545,0.5534721,0.5648237,0.5544658,0.5332785,0.5152965,0.5072161,0.506352,0.5053801,0.49669454,0.48075107,0.46198437,0.44818833,0.44079503,0.4379933,0.4351418,0.43164715,0.42827252,0.42517662,0.4190556,0.4084489,0.39634064,0.38935843,0.38888192,0.39122045,0.3905585,0.3891592,0.3903308,0.39600053,0.39772466,0.39008042,0.37091997,0.34821567,0.32782757,0.31485784,0.30878294,0.3085344,0.31125116,0.3149006,0.31804505,0.31959915,0.31933114,0.3177739,0.31796953,0.3220508,0.3304377,0.33970276,0.34592643,0.3463947,0.3407055,0.3310283,0.31818652,0.30334076,0.28477013,0.26459566,0.24362099,0.22466065,0.20641647,0.18966387,0.17412479,0.16105054,0.14981928,0.14097778,0.13516864,0.13290009,0.13281156,0.1331259,0.13290523,0.13223778,0.1312759,0.1298273,0.12782218,0.1255897,0.12382809,0.12308097,0.12350964,0.12478917,0.12633239,0.12734425,0.12708952,0.12511863,0.12167999,0.11725994,0.11255318,0.10808188,0.105012275,0.10404316,0.105122834,0.106369816,0.10627365,0.10402692,0.10040513,0.09583207,0.09128943,0.08786147,0.08716303,0.08919983,0.09247678,0.094673365,0.09513262,0.09527267,0.09838619,0.106522165,0.11879303,0.1299063,0.1339634,0.12770991,0.11332769,0.09597558,0.080520235,0.06906597,0.06108663,0.055213675,0.050470605,0.046838805,0.044458214,0.043122087,0.04210849,0.040904928,0.039458558,0.038278658,0.037712485,0.037821885,0.03808998,0.038049057,0.037501007,0.0367822,0.036239687,0.035893824,0.03577779,0.036324058,0.039083872,0.04559113,0.0571851,0.07380029,0.09609703,0.1268579,0.17019373,0.2269367,0.28789556,0.33838764,0.36499715,0.36733472,0.35424447,0.33807978,0.32578936,0.3183386,0.31397215,0.3110379,0.3088108,0.3062408,0.30227563,0.29970002,0.30681702,0.33459222,0.38672566,0.4527072,0.510578,0.5412572,0.5401556,0.5178468,0.48899102,0.46208858,0.44015756,0.42213657,0.40979192,0.40164545,0.39633253,0.3890144,0.37797698,0.3651687,0.35506263,0.35087374,0.35076055,0.35070708,0.34873554,0.3456377,0.34545115,0.34955433,0.3583752,0.36816105,0.37488818,0.37550414,0.37045273,0.36314568,0.35665846,0.35214582,0.34960523,0.34888968,0.3509319,0.35485232,0.3586204,0.35959587,0.3569254,0.3519937,0.3459756,0.3395053,0.33178395,0.32292786,0.31397724,0.30633262,0.30091047,0.2969779,0.29397348,0.29101288,0.28879377,0.2876749,0.28773996,0.28749087,0.28499487,0.28004155,0.27395284,0.26933187,0.26668513,0.26522347,0.26312602,0.25995108,0.25650725,0.2539545,0.25242236,0.2509262,0.24861555,0.24559231,0.24231572,0.23861444,0.23398016,0.22870046,0.22388619,0.22045137,0.21786176,0.21598203,0.21705979,0.22739357,0.25301,0.2938547,0.34102455,0.38147783,0.40706322,0.4168531,0.41501054,0.40492555,0.39031395,0.37599757,0.36727265,0.3661494,0.36951438,0.37347308,0.37689492,0.3843232,0.4019721,0.43317935,0.47298476,0.5081541,0.5244686,0.515777,0.48869503,0.45664325,0.4316992,0.41962695,0.42004406,0.42848322,0.43715847,0.4383981,0.42748198,0.40573445,0.3784558,0.35283053,0.33404326,0.325081,0.32496402,0.33126757,0.34006903,0.34888884,0.35573912,0.36004972,0.3614062,0.359409,0.353541,0.34403694,0.3329427,0.32311377,0.31630984,0.3112867,0.30495322,0.2948595,0.2817701,0.26843548,0.2569626,0.24658161,0.23571867,0.22424643,0.21400483,0.20638925,0.20135723,0.1983558,0.19724141,0.19798201,0.19958508,0.20070028,0.20023626,0.19814648,0.19481476,0.19059692,0.18528531,0.17871945,0.171368,0.1644737,0.15877129,0.1540209,0.14924191,0.14413686,0.13905662,0.13465653,0.13128896,0.12922154,0.12871969,0.12968992,0.13136198,0.13248289,0.13192214,0.12954128,0.12607153,0.12287346,0.12046816,0.11857613,0.11619678,0.113202505,0.11015474,0.10791279,0.106520504,0.10552237,0.104789495,0.10475036,0.105977595,0.10793168,0.109491624,0.109454565,0.108026065,0.10591161,0.103995115,0.10230186,0.10099062,0.10037044,0.1009714,0.102881014,0.10546567,0.10801608,0.10939681,0.10910789,0.10696108,0.10512328,0.10706983,0.11606136,0.1311305,0.14646529,0.1546241,0.15162922,0.13961756,0.1246211,0.11282173,0.107894786,0.11081947,0.12017855,0.13213079,0.14130086,0.14334023,0.1378964,0.12858935,0.12021951,0.11536345,0.11393946,0.11432573,0.115225665,0.1156885,0.115511306,0.11458757,0.113334365,0.112003095,0.11098712,0.11061543,0.11115843,0.112883784,0.11580249,0.12038533,0.12648927,0.13400342,0.14355125,0.16035199,0.1925966,0.24483192,0.30884218,0.3650724,0.39632896,0.3993503,0.38604173,0.36926726,0.35667026,0.3478794,0.34221753,0.33846417,0.3370166,0.33740318,0.3404369,0.34621918,0.35826278,0.3787595,0.4102118,0.44610283,0.47804296,0.49586487,0.49809337,0.48785433,0.47225526,0.45662308,0.4444294,0.43616012,0.43014038,0.42330065,0.4133123,0.4000322,0.38511908,0.3709478,0.35812962,0.34659758,0.33643198,0.33109757,0.33432055,0.3474411,0.36541298,0.381878,0.392737,0.3991041,0.40260875,0.4027163,0.39748672,0.3860037,0.37080863,0.3549163,0.34144,0.33113804,0.32424673,0.32025006,0.31918693,0.32090023,0.32462338,0.32869568,0.33157992,0.33274707,0.33271727,0.33194655,0.33011127,0.32627925,0.31958055,0.30988973,0.29757598,0.28342727,0.268248,0.25301868,0.2391472,0.22831361,0.22243406,0.22235852,0.22769366,0.23643953,0.24639797,0.25556436,0.2623318,0.26481998,0.261427,0.2516804,0.23709087,0.22042753,0.20488404,0.19332622,0.18819432,0.19085644,0.20041679,0.21353142,0.22549915,0.2328199,0.23485613,0.23512278,0.24070798,0.2588608,0.29101557,0.33010814,0.36454484,0.38676262,0.39541933,0.3931069,0.38136327,0.3634479,0.34543,0.336105,0.3399135,0.35542855,0.37644306,0.40005124,0.42631614,0.45634702,0.4838238,0.4997975,0.4984169,0.48569795,0.47207037,0.464622,0.46041498,0.45375726,0.442233,0.43009058,0.42240116,0.42081988,0.42183092,0.42017195,0.41251624,0.39972344,0.3859317,0.37571582,0.3705616,0.36856326,0.3660679,0.36120108,0.35410753,0.34586298,0.33707085,0.3278348,0.31901228,0.31090662,0.303548,0.29509568,0.28469095,0.27213773,0.2598221,0.24984777,0.24414086,0.24254668,0.24494159,0.25047347,0.258346,0.2660327,0.27105844,0.2717514,0.26892766,0.2640134,0.2580713,0.25101548,0.24299596,0.2343642,0.22533268,0.21521886,0.20374544,0.19199263,0.18252067,0.1770951,0.17541605,0.17498511,0.17343663,0.16966785,0.16449524,0.15901153,0.15402251,0.14938313,0.14515573,0.14195378,0.1409694,0.14286481,0.14693886,0.15138446,0.15410952,0.15409444,0.15161811,0.14827603,0.1458774,0.14566909,0.14751886,0.15021192,0.1522538,0.15277727,0.15170377,0.14919323,0.14521109,0.13946414,0.13186066,0.12274709,0.113230176,0.10492363,0.09934645,0.09672665,0.09579766,0.0947826,0.092749156,0.089945726,0.08706948,0.08520544,0.08573637,0.08991808,0.09723256,0.104993574,0.10967475,0.10950961,0.10586727,0.10286092,0.10453247,0.11197793,0.12152103,0.12697108,0.123566486,0.11121315,0.09405152,0.07737954,0.064815685,0.057029143,0.05269319,0.050075788,0.04819903,0.046871793,0.045908403,0.044789966,0.04299256,0.040480588,0.037925433,0.036102045,0.035473883,0.035715308,0.036180835,0.03638229,0.036386926,0.036429495,0.036442485,0.03635462,0.036540646,0.0385476,0.04410458,0.054764558,0.06995833,0.089649566,0.116023324,0.15624441,0.21437973,0.28389737,0.34633818,0.38385323,0.3922327,0.38057616,0.36230722,0.34543625,0.33146402,0.3186655,0.30509934,0.2930894,0.28683323]