[0.00910661,0.016185975,0.033534292,0.060324166,0.09607065,0.13951746,0.18728113,0.23121051,0.26253712,0.2761472,0.274968,0.26561663,0.25419053,0.2429329,0.23186642,0.22066484,0.20986424,0.20106196,0.19564272,0.19377492,0.19323261,0.19112118,0.1853836,0.1765761,0.16660298,0.1575566,0.15017505,0.14416362,0.13900296,0.13508517,0.13378195,0.13589357,0.1402909,0.14375778,0.14345653,0.13859649,0.13081916,0.12228862,0.11459061,0.10843269,0.104778685,0.10582932,0.11586817,0.13882355,0.17534061,0.21968003,0.26382217,0.30126807,0.33076024,0.3525331,0.36711577,0.37462223,0.3767557,0.37512735,0.36958745,0.35893428,0.34438464,0.33097062,0.32448503,0.32701528,0.33634543,0.34866586,0.36147225,0.3734341,0.3833129,0.3897458,0.3919679,0.3907613,0.3880433,0.3864472,0.38734165,0.39050245,0.39358744,0.3945533,0.39227116,0.38755906,0.3814787,0.375098,0.36893186,0.36351404,0.35828447,0.35035157,0.3339623,0.3040501,0.26062602,0.21129364,0.16671455,0.13453762,0.1153421,0.105179906,0.09955438,0.09636762,0.09574473,0.09923548,0.10763493,0.119695604,0.13108122,0.13846517,0.14313911,0.15387215,0.18068624,0.2277203,0.28746632,0.3453637,0.38786018,0.40925395,0.41255865,0.40565598,0.3976225,0.39381847,0.39507434,0.3977413,0.39855406,0.39659205,0.39431682,0.39431527,0.3979052,0.40409532,0.41171739,0.42009795,0.4293702,0.43865827,0.44544092,0.4458184,0.43612692,0.41508928,0.38571844,0.35504484,0.33118638,0.3184303,0.31573835,0.3177884,0.31946206,0.3180124,0.31450403,0.3124453,0.31566432,0.32537565,0.33878186,0.3505597,0.3561226,0.3541074,0.34642306,0.33628574,0.32621908,0.31643042,0.3050635,0.2898365,0.27104637,0.2520937,0.23765488,0.22979635,0.2273136,0.22694655,0.22699289,0.2278676,0.23203163,0.24075018,0.25327823,0.26580206,0.27444422,0.27648857,0.27271214,0.2654183,0.2577667,0.25090063,0.24503285,0.2393781,0.23439373,0.23059219,0.22815995,0.22580206,0.22223328,0.21755494,0.21342026,0.21127294,0.21083434,0.2101803,0.20772548,0.2024921,0.19448777,0.18345849,0.1699179,0.15504354,0.14040317,0.1272706,0.11586907,0.10635891,0.09839321,0.0918415,0.086133875,0.08101559,0.076436184,0.072752364,0.07010157,0.06815248,0.06640751,0.065243356,0.06666007,0.074011475,0.091412246,0.12300259,0.17240275,0.24025194,0.3220066,0.40550315,0.47433782,0.5154949,0.5298855,0.53297424,0.5424188,0.56287193,0.5839053,0.59483796,0.5961625,0.59708476,0.6001451,0.59699553,0.57639426,0.53918594,0.49878743,0.47126713,0.46201542,0.4626284,0.45742217,0.4344163,0.39530972,0.35485914,0.33172688,0.33359155,0.35456166,0.38110206,0.4037952,0.4178108,0.42043987,0.40733084,0.37727967,0.33619818,0.2970755,0.27251717,0.26610774,0.2721293,0.2803227,0.28504547,0.2846048,0.28191948,0.2797357,0.2823166,0.29045936,0.30253935,0.31404245,0.32460532,0.33727536,0.35752904,0.3852279,0.415295,0.43787274,0.44412994,0.42893755,0.3935916,0.34683076,0.29926994,0.26130575,0.23961793,0.24155176,0.269772,0.3187543,0.37047395,0.40468654,0.4086301,0.38584355,0.35265958,0.33034873,0.33075285,0.3478708,0.3621699,0.35806623,0.3381786,0.31938854,0.3169103,0.3314911,0.35292602,0.36970243,0.37728214,0.37604594,0.36716774,0.3484398,0.3161585,0.26956674,0.21419042,0.16120413,0.121751726,0.1027649,0.10363842,0.11820827,0.13806126,0.15826307,0.17904933,0.20424752,0.23667395,0.27593496,0.3159989,0.34534672,0.35041392,0.3264852,0.28513166,0.2508531,0.2440648,0.2691954,0.31373206,0.36201546,0.4027792,0.43288437,0.45158696,0.4602611,0.46157286,0.4600104,0.45924592,0.45693967,0.44561592,0.4165841,0.37191275,0.32481265,0.2942678,0.28990057,0.30872402,0.33865273,0.36840597,0.39193106,0.40799454,0.41767928,0.42012334,0.41226593,0.3901421,0.35526514,0.31544313,0.28257987,0.26420072,0.26160347,0.27004337,0.2842586,0.29924193,0.31176487,0.32086027,0.32895645,0.34043232,0.35684514,0.3748727,0.38728228,0.3885715,0.3769078,0.35464588,0.3263482,0.29948762,0.28258196,0.28163317,0.2957903,0.31843296,0.3421757,0.36273837,0.37890458,0.38946095,0.3932797,0.38939974,0.37849426,0.36020234,0.33358958,0.29800972,0.25666276,0.21594302,0.18260087,0.16024737,0.1487161,0.14532451,0.14620335,0.1471234,0.1447723,0.13784243,0.12753701,0.116153456,0.10579941,0.09741918,0.09136685,0.087867685,0.08750484,0.09053566,0.09666505,0.10650145,0.12542139,0.16561538,0.23982532,0.3495001,0.47764674,0.59822327,0.69364643,0.7645163,0.82107407,0.86790603,0.89713246,0.8950615,0.852716,0.770788,0.65984267,0.5378868,0.4293785,0.35558322,0.3254802,0.32663476,0.33499777,0.32964647,0.30834028,0.28578958,0.28019974,0.29961136,0.33663097,0.37715498,0.40789083,0.42336905,0.42386782,0.41405454,0.39884913,0.3820862,0.36593065,0.35111442,0.3365248,0.31759718,0.28925177,0.25137147,0.21505721,0.19950743,0.21991988,0.27494952,0.34267008,0.39407492,0.4077785,0.38419056,0.3396156,0.2970229,0.2691317,0.25663367,0.25129053,0.247425,0.2442959,0.24419923,0.24722724,0.25156203,0.2567159,0.26605418,0.28408542,0.3103778,0.33523452,0.34337458,0.32461777,0.28361312,0.24012607,0.2167551,0.22627316,0.2644025,0.3169053,0.3669332,0.40303335,0.41985452,0.4202298,0.4138144,0.4114482,0.41750515,0.4258422,0.4272476,0.41749206,0.401582,0.38677672,0.3767446,0.36913446,0.35976472,0.3446859,0.3212644,0.28786865,0.24632667,0.20232308,0.16346613,0.13462143,0.11591643,0.10402653,0.09523672,0.087773204,0.08220198,0.080695696,0.084678225,0.0930236,0.101679675,0.10643095,0.10550228,0.100480765,0.09421175,0.08874282,0.084737964,0.08369393,0.0903388,0.11331561,0.1593102,0.22676587,0.30168116,0.36477736,0.40070108,0.4066452,0.39157283,0.3696054,0.3515496,0.34102097,0.33723554,0.33972618,0.3482835,0.36149123,0.3746041,0.38231823,0.3797746,0.36572334,0.3455118,0.3303808,0.3303294,0.34344366,0.35619295,0.35435522,0.33553723,0.31122878,0.29524204,0.2952839,0.30812618,0.32801124,0.34901464,0.36820683,0.38171923,0.3868648,0.3835597,0.37535474,0.3662361,0.35817614,0.35216165,0.35031855,0.35542718,0.36583087,0.3738407,0.37051877,0.35766825,0.34984243,0.36462346,0.40397847,0.45079622,0.47950026,0.4744405,0.4356351,0.3747282,0.30622306,0.24327262,0.19603664,0.17164326,0.17273147,0.1973996,0.23801072,0.28465834,0.32705125,0.35981345,0.3816081,0.395394,0.40377924,0.4082729,0.40767965,0.40063107,0.38545784,0.3608763,0.32487562,0.27807257,0.22555079,0.17728156,0.14208487,0.12317091,0.11662292,0.11549536,0.11364502,0.108172335,0.0991171,0.08832798,0.07783543,0.06885364,0.061610263,0.056046788,0.052516565,0.051953647,0.054962993,0.0609232,0.067556344,0.07229378,0.07355502,0.07164177,0.06783554,0.06359022,0.059796993,0.056824435,0.054504395,0.052403748,0.05014281,0.047675546,0.0451781,0.04285486,0.040890064,0.03957319,0.039974105,0.045614492,0.06345355,0.10136726,0.16118845,0.23559041,0.31167272,0.37943435,0.43319842,0.4689368,0.4847275,0.48478964,0.48143724,0.48480657,0.49703822,0.5100705,0.5168812,0.515718,0.5125167,0.5124424,0.51481277,0.5118031,0.49769083,0.4769781,0.4633461,0.4682276,0.4911178,0.52146506,0.5478963,0.5653836,0.5741218,0.5753878,0.5694979,0.5562138,0.5355431,0.50629777,0.46829376,0.42524612,0.3884052,0.37028384,0.375685,0.39565012,0.41528538,0.42585766,0.4295306,0.43182656,0.4328494,0.42873433,0.41856253,0.40754282,0.40130413,0.4027102,0.41176328,0.42901072,0.45110688,0.47064376,0.47795463,0.47405335,0.4697596,0.4805695,0.507561,0.5401013,0.5611272,0.565898,0.5575331,0.5445741,0.52962416,0.51430416,0.49833748,0.48497236,0.47687754,0.47833166,0.48948193,0.50776947,0.5259292,0.53745216,0.5390578,0.53172064,0.5191154,0.5044716,0.49156117,0.48388687,0.4844207,0.49208125,0.5016289,0.50379723,0.49040017,0.45721927,0.41096547,0.3654983,0.33621344,0.32773873,0.33535185,0.34950832,0.3647928,0.37709114,0.3833346,0.37938157,0.3658934,0.34591952,0.32304257,0.29683685,0.26613477,0.23407722,0.21017635,0.20770518,0.2342209,0.28678796,0.3499249,0.40593407,0.44298837,0.46135104,0.46744633,0.46740457,0.46327916,0.45547655,0.4469358,0.4417335,0.4421909,0.44518748,0.44789776,0.45188388,0.4643371,0.48666582,0.5115195,0.5266022,0.5294106,0.52543,0.5207252,0.51284593,0.4995151,0.4848013,0.47786427,0.48080805,0.48677945,0.48616043,0.47506583,0.45487618,0.42867956,0.4011898,0.37851858,0.3679112,0.37173298,0.3895135,0.4178113,0.45439973,0.49440178,0.5328149,0.565825,0.59300786,0.6134382,0.6213848,0.6102696,0.57865816,0.53641146,0.49774456,0.4743141,0.4688119,0.4781053,0.49581257,0.51414084,0.52472544,0.52136755,0.5037392,0.47641873,0.44590268,0.41649938,0.3903669,0.36834767,0.3510317,0.33877537,0.33104154,0.32650533,0.322628,0.31647736,0.30530855,0.2881082,0.266076,0.242391,0.22032611,0.20202202,0.18780558,0.1773841,0.17054923,0.1675449,0.16795142,0.16977851,0.1696781,0.16461366,0.15371116,0.13856497,0.1221442,0.10725421,0.09561404,0.08824975,0.08642781,0.09297802,0.110211164,0.1372999,0.16770907,0.19426887,0.2157129,0.24147387,0.28531578,0.35392198,0.4378301,0.5146124,0.5606108,0.5647138,0.5332873,0.48875406,0.45642146,0.45234704,0.47208259,0.49808893,0.5130616,0.512947,0.5054789,0.49960577,0.5004742,0.5071055,0.5189733,0.53305644,0.5467672,0.5564447,0.56270003,0.5694179,0.5808389,0.59614515,0.60709244,0.60165745,0.57368207,0.5310213,0.49425793,0.4820248,0.49761105,0.5289188,0.5597802,0.5814559,0.59147495,0.5910221,0.5794866,0.55644006,0.52153504,0.48046923,0.44477215,0.42660525,0.42491457,0.42466775,0.40992782,0.38526067,0.3734362,0.39593133,0.4476285,0.5015035,0.52904224,0.5249925,0.5051843,0.49177825,0.49445835,0.5094413,0.5273571,0.5431946,0.55689687,0.5693474,0.57926434,0.5843098,0.5831411,0.5760537,0.56425875,0.54971915,0.53495663,0.5220224,0.51069945,0.49752447,0.47722837,0.4462514,0.4055173,0.36100146,0.3199489,0.28745222,0.26327357,0.24339835,0.2222573,0.19724536,0.1708731,0.14989303,0.14000624,0.14031184,0.14355707,0.14134979,0.13070704,0.11437028,0.09762529,0.08384749,0.07425433,0.07027475,0.07664627,0.100556076,0.14553846,0.20502646,0.2630386,0.30315912,0.319378,0.3182617,0.31404927,0.3175141,0.33025768,0.3430462,0.3456117,0.33563673,0.32396153,0.32453477,0.34219685,0.3667933,0.3842046,0.38927522,0.38991883,0.39629793,0.4108273,0.42715445,0.43797696,0.44140568,0.4400016,0.43749836,0.43540457,0.43376008,0.43015543,0.4198862,0.39768848,0.36267534,0.32143545,0.28349802,0.25611377,0.23917091,0.23127447,0.23103325,0.24295755,0.26879022,0.30664825,0.3441296,0.3702285,0.37842098,0.37244532,0.3548515,0.32877305,0.29865953,0.2763947,0.27001286,0.2763417,0.2833275,0.28461602,0.2852824,0.29183447,0.3016081,0.3036627,0.28903422,0.25816435,0.21963233,0.18882702,0.17953454,0.19832082,0.2359974,0.2757524,0.30200616,0.31002033,0.30169368,0.28104055,0.2513313,0.21665062,0.18238467,0.153013,0.1306548,0.11475286,0.10407271,0.097351044,0.09357625,0.09117179,0.08866191,0.08515707,0.081074245,0.07722197,0.074261025,0.07208017,0.07044063,0.06930844,0.06932014,0.07121696,0.07514552,0.079912275,0.08343035,0.083910346,0.08098928,0.0757024,0.06956472,0.06369904,0.058607932,0.054390687,0.05096103,0.04810645,0.04555941,0.043058213,0.040478155,0.03838026,0.03849084,0.043871444,0.056448504,0.075439595,0.09698153,0.11868235,0.14117992,0.16647215,0.19289456,0.2147444,0.22780432,0.23432356,0.24483342,0.2711259,0.31926432,0.38152745,0.43996426,0.4752636,0.48014334,0.4615387,0.43508008,0.41460726,0.40720448,0.41217887,0.4237601,0.43528163,0.4430984,0.44741604,0.44931033,0.44730213,0.43766913,0.41654614,0.3854302,0.35273603,0.3325878,0.3347535,0.35683262,0.38551548,0.4075851,0.4202462,0.42868772,0.43912148,0.45221257,0.46622777,0.47929096,0.49147418,0.5014917,0.5055845,0.49726045,0.47145066,0.42913735,0.3800211,0.33923677,0.31884655,0.31995758,0.3318708,0.3412764,0.34275112,0.3423251,0.34836867,0.36187747,0.3738576,0.37402782,0.3588103,0.33263767,0.30274418,0.27432153,0.24987598,0.23020631,0.21733987,0.21631879,0.2369364,0.28755334,0.36783925,0.46273565,0.5507842,0.6150964,0.65143013,0.66264313,0.65035325,0.6142008,0.5587619,0.5011398,0.4619749,0.45279872,0.46546674,0.48341623,0.4935048,0.49512866,0.4920151,0.48691058,0.47835228,0.46591648,0.45336,0.44757774,0.45494476,0.47386184,0.49563527,0.5068679,0.5004749,0.47815624,0.45029202,0.42917046,0.42489004,0.4418187,0.47456786,0.50899976,0.5281214,0.52341574,0.49802887,0.46318373,0.42949346,0.40210629,0.37953806,0.35616663,0.32714054,0.29220912,0.25595063,0.22381492,0.1997063,0.18751682,0.1952079,0.23260128,0.30289337,0.39214376,0.47140685,0.5106554,0.49864975,0.45073998,0.3987402,0.37023088,0.37233987,0.39724198,0.43192038,0.46884057,0.4970266,0.50656873,0.4920651,0.46771014,0.45540285,0.4721085,0.51093906,0.549994,0.5643946,0.54622966,0.5043575,0.45872214,0.42530158,0.4112383,0.4145114,0.4284245,0.4448857,0.45726815,0.4661111,0.47622904,0.4927267,0.5082322,0.51135725,0.4931216,0.46273172,0.43482745,0.4213185,0.4187933,0.41771778,0.40831825,0.38671616,0.3533317,0.3123941,0.27175853,0.24197803,0.23415367,0.25503573,0.3029214,0.36534056,0.42448553,0.46449497,0.47907412,0.4717443,0.4530847,0.4346383,0.42393425,0.4217776,0.42395934,0.42388126,0.417594,0.4058002,0.39918414,0.41200235,0.4545097,0.5200887,0.5902694,0.6446481,0.67394084,0.67885584,0.6645523,0.6336682,0.5867929,0.5266325,0.46349886,0.41355184,0.39080775,0.39685473,0.42116508,0.44858482,0.46995926,0.48341215,0.49163082,0.4969027,0.500783,0.5049334,0.51222813,0.52472764,0.5408666,0.55476743,0.56058407,0.558223,0.5540772,0.556365,0.5670975,0.58181167,0.5925366,0.59748167,0.6006045,0.6098377,0.6260888,0.6438934,0.6531885,0.6508928,0.64156336,0.6354654,0.63825965,0.64814514,0.6577887,0.66230303,0.6621154,0.66031986,0.65471345,0.63725334,0.5982053,0.53721,0.46470812,0.399839,0.35821983,0.3461536,0.35613418,0.37447932,0.38736475,0.3891692,0.38339043,0.3812032,0.39443445,0.42573166,0.46558872,0.49709138,0.50940114,0.5048639,0.4952089,0.4920214,0.49635205,0.5039794,0.50901186,0.5144322,0.5226353,0.535173,0.5435009,0.5432138,0.533607,0.5252572,0.5260404,0.54007214,0.56244016,0.5850318,0.59926057,0.6010087,0.5936789,0.585432,0.5817992,0.57959366,0.5706014,0.5501873,0.5239009,0.5009871,0.4897674,0.49186265,0.50874525,0.538732,0.5775196,0.6141369,0.6381586,0.64308333,0.6320593,0.61306804,0.599077,0.59610814,0.604556,0.61489415,0.62453455,0.6357444,0.6566743,0.6822374,0.69870776,0.6896987,0.65627617,0.6126463,0.5774636,0.5544347,0.5353284,0.5069885,0.46788323,0.42575684,0.39385137,0.37965953,0.38463497,0.4024622,0.42443946,0.44305837,0.45781767,0.47110114,0.4833381,0.48964313,0.4872832,0.48062077,0.47877502,0.48619953,0.49893156,0.50912595,0.5119214,0.50643235,0.49358404,0.47441486,0.45215425,0.43288156,0.42469668,0.4330878,0.4582298,0.49208888,0.5232337,0.54199797,0.54705685,0.5423443,0.5296177,0.50726455,0.47461393,0.44252583,0.4239229,0.4256847,0.43710425,0.44520536,0.44343114,0.4394516,0.440042,0.44598755,0.44996262,0.44983515,0.448495,0.45163766,0.45713463,0.46020234,0.45797357,0.45514977,0.4571654,0.46533585,0.4769199,0.48788345,0.49653372,0.5002653,0.49999177,0.49735415,0.49760714,0.5012373,0.5071469,0.5113454,0.5130004,0.5112829,0.50639826,0.49973664,0.49409923,0.4919605,0.48979977,0.48296082,0.4685913,0.45282945,0.4437991,0.44735244,0.46087143,0.47614408,0.48468855,0.4844774,0.48427245,0.49424484,0.5159505,0.5322879,0.52572685,0.49316308,0.46102145,0.45925197,0.50215906,0.5667097,0.6182427,0.63034195,0.61052936,0.58276814,0.5723591,0.5835898,0.60591674,0.620434,0.61300856,0.5786686,0.52378845,0.46343645,0.41187787,0.37842217,0.36452523,0.37131062,0.39571938,0.43179366,0.4662719,0.49104747,0.5041608,0.51211816,0.51815885,0.5222566,0.52195185,0.51816505,0.5143196,0.5138569,0.51702577,0.52099174,0.5212593,0.5156801,0.5050511,0.49276695,0.48088804,0.47085735,0.4633598,0.46010116,0.45944294,0.45781207,0.45155704,0.44257295,0.43451488,0.42685091,0.41406012,0.39209417,0.3674293,0.35168886,0.3535587,0.3680037,0.38417616,0.39353308,0.39960256,0.41089758,0.43306604,0.46360728,0.49527463,0.5217554,0.53793865,0.5417828,0.5344238,0.52231336,0.5118356,0.50621796,0.504575,0.5074809,0.5160611,0.52935505,0.54051787,0.541863,0.5308881,0.5121501,0.4934043,0.47888088,0.46956024,0.46401945,0.46329018,0.46781918,0.4778291,0.48946476,0.49912858,0.5021064,0.4970963,0.48396742,0.46703038,0.45139113,0.44277582,0.44358018,0.45518744,0.4765636,0.5064637,0.53886217,0.5654358,0.5760583,0.5671869,0.5464894,0.5296509,0.53037757,0.54513973,0.5600918,0.56122094,0.55320644,0.5486466,0.55722314,0.5702703,0.5723259,0.55326813,0.52063423,0.49198207,0.48331094,0.49797216,0.5273623,0.5569858,0.5729158,0.5674703,0.5419023,0.50996953,0.48910126,0.4930468,0.51913834,0.5555343,0.5848696,0.59826845,0.5942221,0.5816974,0.5716745,0.5713796,0.579284,0.58715844,0.5904772,0.58893925,0.5874728,0.5841035,0.57617956,0.5602692,0.5417817,0.52521664,0.51302624,0.50115675,0.48782143,0.4746327,0.4681091,0.4718717,0.4835236,0.4932064,0.49191037,0.47783944,0.45767748,0.4400383,0.42908072,0.4242915,0.42287287,0.42372477,0.42688167,0.43380153,0.44307408,0.4505076,0.448872,0.43562582,0.41566288,0.40181386,0.40669712,0.43553725,0.4825244,0.53332305,0.5743336,0.598723,0.60951096,0.6116598,0.60861295,0.599144,0.58359236,0.5641507,0.54690856,0.5367637,0.53684145,0.5444681,0.5563085,0.5682457,0.5795958,0.585283,0.58079165,0.56324655,0.54143137,0.5261681,0.52372783,0.52783775,0.5295157,0.52409387,0.51532316,0.5089598,0.5081679,0.5112081,0.51287454,0.5076471,0.4910289,0.46428654,0.4338905,0.41259813,0.40978074,0.42533848,0.44699797,0.46012577,0.46049976,0.455736,0.45835268,0.47009435,0.48295328,0.48500693,0.47717437,0.4702587,0.47624764,0.49156836,0.50064963,0.48897517,0.45810893,0.4247369,0.40791938,0.41625535,0.44366184,0.47560272,0.49880362,0.50866807,0.50893426,0.5063896,0.5048256,0.5044303,0.5036084,0.5018986,0.49999058,0.4991647,0.49901363,0.49668744,0.48792735,0.471259,0.44984928,0.4295236,0.41390958,0.4038674,0.3990848,0.40072545,0.40773264,0.41766143,0.4271468,0.4368212,0.44639432,0.45146248,0.44404915,0.42214954,0.39594004,0.38097063,0.3860465,0.4039959,0.42169797,0.4305103,0.43506005,0.44115496,0.44946706,0.45210218,0.44527486,0.4344535,0.4323852,0.45013997,0.48801336,0.5377833,0.58311844,0.61238074,0.62002,0.6136589,0.60250264,0.5932428,0.5831347,0.5685015,0.5491534,0.5306647,0.5186853,0.5146896,0.5154698,0.51530576,0.5111665,0.5055466,0.50686437,0.52193904,0.55029154,0.5819822,0.6052947,0.6117425,0.60110694,0.578389,0.5530599,0.5329118,0.52270967,0.52183944,0.5269146,0.5323141,0.5319541,0.5207006,0.49757004,0.46785066,0.4423538,0.43295196,0.4442236,0.47089386,0.49847507,0.515362,0.5162429,0.50711703,0.49562037,0.48940894,0.4883351,0.4897438,0.48966658,0.49033988,0.49677697,0.51202554,0.53000706,0.5395234,0.5346215,0.52221614,0.51620346,0.52298015,0.53499764,0.53702414,0.52199394,0.49473932,0.46868324,0.45229217,0.44712985,0.447852,0.4502243,0.45301008,0.4590361,0.47159055,0.49006033,0.5085574,0.51778895,0.5127717,0.49491194,0.4716061,0.45038262,0.43721628,0.43548456,0.44378033,0.45644462,0.46561292,0.46770254,0.46112633,0.44211498,0.40506425,0.35152805,0.29828635,0.2682455,0.2732818,0.3032595,0.3341706,0.3490944,0.34809706,0.34677818,0.35736513,0.38284507,0.41546723,0.44926214,0.48092636,0.5081993,0.5256422,0.5282281,0.517833,0.5027825,0.49295387,0.4927343,0.49984518,0.5080659,0.51043016,0.5037362,0.48915255,0.47275457,0.46098098,0.45861492,0.46662602,0.48409674,0.5078824,0.5343025,0.5580816,0.5746395,0.5796004,0.571904,0.55371004,0.5306146,0.50762945,0.48798367,0.47405794,0.4686283,0.47408164,0.48864856,0.50791615,0.52508754,0.5341265,0.52978826,0.51084715,0.48413685,0.46118805,0.45454895,0.46563104,0.48768,0.5053081,0.5084467,0.49386856,0.47032776,0.44972476,0.44124913,0.4449185,0.45373738,0.46044028,0.46179318,0.45905766,0.45359597,0.4457954,0.43649128,0.42853165,0.42538714,0.42807922,0.43446192,0.44147325,0.4462359,0.44770285,0.4454054,0.4414256,0.43837452,0.43912038,0.44404984,0.45151162,0.45918822,0.46577445,0.472525,0.47939292,0.4844022,0.48177993,0.46948227,0.44973913,0.42988458,0.4151683,0.4081963,0.40879568,0.41496256,0.4223596,0.4254714,0.42272782,0.41669604,0.41007796,0.39991787,0.38108528,0.3539164,0.3289517,0.32012925,0.33450472,0.36534405,0.39804864,0.42050138,0.43270957,0.44376028,0.46317625,0.49049202,0.51749486,0.5341952,0.538871,0.5359767,0.53289455,0.53220695,0.53081197,0.5235414,0.5079678,0.49012634,0.4774605,0.4753218,0.47830656,0.4803029,0.47737285,0.4743254,0.47472534,0.47954646,0.4865922,0.49756145,0.5156358,0.54144615,0.5691747,0.5931878,0.61152,0.62593627,0.63374346,0.6273956,0.6001795,0.5545513,0.5035849,0.46202293,0.43833646,0.42789742,0.42046908,0.40727642,0.3917342,0.38380992,0.39199877,0.41233304,0.43336904,0.44409367,0.44159785,0.42744386,0.40557322,0.38141882,0.3636396,0.3582429,0.36311308,0.36915135,0.37119666,0.37361762,0.38429213,0.40177596,0.41554117,0.41487145,0.39999536,0.37785128,0.35714015,0.34318113,0.33968818,0.34617484,0.3567679,0.36253276,0.35750476,0.3414737,0.31698158,0.28581214,0.24938105,0.21108322,0.1767392,0.15155065,0.13779221,0.13442586,0.13849105,0.14594334,0.15243475,0.15456085,0.15118492,0.14343093,0.13351421,0.12309251,0.11291935,0.10306998,0.09406528,0.08722665,0.084233664,0.085894875,0.09098545,0.09692654,0.10089793,0.10158691,0.0990672,0.09463831,0.089917146,0.08701033,0.0890949,0.10089073,0.12731235,0.16823477,0.21549563,0.25378427,0.27097085,0.26432857,0.24268891,0.21826847,0.20173424,0.19915463,0.21350181,0.24536349,0.29262134,0.350063,0.40755865,0.45257306,0.4748533,0.474355,0.46004367,0.4433775,0.42966938,0.41872808,0.40925956,0.40257284,0.40129247,0.40786526,0.42128518,0.43730006,0.44755122,0.44678462,0.43451372,0.41688016,0.40026405,0.38964403,0.38721302,0.39193663,0.4001538,0.4070816,0.41314983,0.42009637,0.42735484,0.42550555,0.40985942,0.3862697,0.3744718,0.38509202,0.41348013,0.4376297,0.4435583,0.43083763,0.4158388,0.4112657,0.4207903,0.4353315,0.44513798,0.44490895,0.4368378,0.4256353,0.41494057,0.40507713,0.39447463,0.38271868,0.37284425,0.3718896,0.3841236,0.40748572,0.4305276,0.44351658,0.44287014,0.43521428,0.42804417,0.4260027,0.42847976,0.43264362,0.43657312,0.44011047,0.44601038,0.45439008,0.4623001,0.46208355,0.4510397,0.4314613,0.41149676,0.3964601,0.38927102,0.39016315,0.3973372,0.40688288,0.41373825,0.41704977,0.41745058,0.41397133,0.4017274,0.38027605,0.35832155,0.3507905,0.36390314,0.39087108,0.4138501,0.42314875,0.42005607,0.41831443,0.42454985,0.43614885,0.43983117,0.42894503,0.40603673,0.38287076,0.3681451,0.36491823,0.37005773,0.3791072,0.3886722,0.3983825,0.4111414,0.4281491,0.44630656,0.4572097,0.45605472,0.44426158,0.42987707,0.41904104,0.4137347,0.41155517,0.41078648,0.41182017,0.41725624,0.42654172,0.4350647,0.43462518,0.42226955,0.40127775,0.3796948,0.36161378,0.34835652,0.34069207,0.34326306,0.35739997,0.37969205,0.40111196,0.4162363,0.4214095,0.41444588,0.3946346,0.3690294,0.35292915,0.35745624,0.37921777,0.39950633,0.40114912,0.38242307,0.35876796,0.34947738,0.3611418,0.38499808,0.40364078,0.4076552,0.39818934,0.38574097,0.37729946,0.3747604,0.37380898,0.37226,0.37149605,0.3780385,0.39502868,0.41882738,0.43767464,0.44302347,0.43514213,0.42305073,0.4144472,0.41090295,0.40972772,0.40890598,0.4094783,0.41328195,0.42193902,0.4328551,0.4401733,0.43489075,0.4143636,0.3833793,0.35388425,0.33479115,0.3303986,0.33986762,0.35917684,0.38111213,0.3975295,0.40694872,0.4134133,0.4226961,0.43224677,0.43748513,0.43574667,0.43206057,0.42886603,0.423242,0.40651557,0.3779932,0.34694302,0.33040062,0.33500758,0.3551384,0.37513098,0.3870581,0.39230582,0.40078786,0.41930738,0.44867846,0.4812816,0.506757,0.5187742,0.51924235,0.5170683,0.5172024,0.5200348,0.5190006,0.51319265,0.503388,0.49535587,0.4912579,0.4937717,0.50350887,0.5197939,0.5388947,0.55688554,0.57295257,0.5884903,0.6029668,0.6105936,0.6039129,0.5800999,0.54680586,0.5185368,0.5077496,0.5140752,0.5248222,0.52587,0.5144587,0.50030047,0.49341074,0.49398482,0.4944601,0.49184585,0.4922224,0.50302196,0.5209778,0.532479,0.5250774,0.5001354,0.47156027,0.4554279,0.4572579,0.47223163,0.48960146,0.50318456,0.5105961,0.51375365,0.5120203,0.5038901,0.48726013,0.46398485,0.44076288,0.42625007,0.42642435,0.4369804,0.44670698,0.4424155,0.42307976,0.3979133,0.3830355,0.38689944,0.40898976,0.43890694,0.4648247,0.47773206,0.47787735,0.4719585,0.46866003,0.46909884,0.46885213,0.46162704,0.44894126,0.43897465,0.44282374,0.46491358,0.4989624,0.53100795,0.54810834,0.5467401,0.53046864,0.5038663,0.46550214,0.41499925,0.359459,0.31787404,0.30635968,0.3267984,0.3615129,0.3888196,0.39782476,0.39492556,0.39459857,0.40485677,0.42249897,0.4364402,0.44140112,0.43920684,0.43745136,0.43731585,0.43620393,0.43138662,0.42996845,0.44236055,0.4738436,0.51440865,0.5467531,0.55583936,0.54025394,0.50773644,0.47209537,0.44599918,0.43974677,0.4553653,0.4852867,0.51697034,0.5420576,0.5618603,0.5797381,0.59422415,0.5948432,0.5739456,0.53335804,0.48940074,0.46173358,0.4632925,0.49058032,0.52543443,0.54686785,0.54420453,0.5273668,0.51455903,0.519016,0.5324432,0.5403309,0.5332186,0.5209491,0.5144951,0.5183873,0.52321523,0.52243596,0.5159574,0.5121429,0.5153354,0.52265245,0.5234831,0.5070381,0.4702531,0.42161572,0.37944102,0.3598163,0.3677392,0.39290372,0.42060602,0.44155645,0.4582391,0.47494495,0.4902934,0.4932761,0.476583,0.44315648,0.40675485,0.3783207,0.36005285,0.34728062,0.3361778,0.3283896,0.32808718,0.33927235,0.3587183,0.37823188,0.38600674,0.37859705,0.35988918,0.34033576,0.3267273,0.32314888,0.3312062,0.34953,0.37174585,0.38679186,0.3896995,0.38364246,0.37886152,0.38142958,0.3948934,0.42078266,0.4613411,0.51091987,0.557084,0.5857301,0.59486955,0.5926189,0.59135234,0.5947805,0.60007405,0.60068685,0.59336275,0.5774539,0.55503994,0.5315067,0.51368207,0.50605124,0.5057618,0.50559634,0.5015933,0.49685192,0.49750862,0.50380945,0.50917053,0.50691706,0.49689174,0.4852594,0.47718406,0.47387078,0.47280738,0.47240594,0.47303045,0.4763372,0.4802922,0.47786403,0.45928565,0.4224461,0.3764871,0.3392695,0.3252206,0.34025696,0.3799169,0.43334904,0.48348904,0.5147131,0.5210035,0.5134128,0.51085347,0.5243335,0.54832304,0.56751186,0.57343787,0.56885284,0.5628151,0.5569308,0.5454374,0.5227601,0.49429166,0.47346947,0.46847844,0.47372675,0.47188783,0.45078698,0.41154113,0.37197068,0.3524677,0.36574993,0.40690222,0.45907962,0.50378305,0.5319815,0.54499173,0.54783756,0.54367846,0.53278685,0.5164828,0.49743,0.47943214,0.46473968,0.45486644,0.45006183,0.45111474,0.45856813,0.47324958,0.4918412,0.5078549,0.5121196,0.501749,0.4797199,0.45409083,0.42984188,0.40959504,0.39429322,0.38515067,0.38167143,0.3815733,0.3843738,0.38936314,0.3934339,0.3846475,0.3564851,0.31369078,0.28039446,0.27424595,0.29751316,0.32823345,0.34865627,0.35487166,0.36408034,0.3901457,0.43456054,0.48182145,0.51686877,0.5320775,0.5305496,0.51846284,0.5030454,0.49079892,0.48802444,0.49887094,0.523788,0.558314,0.5925142,0.61516833,0.6182863,0.6042629,0.5823354,0.56399053,0.5532594,0.548358,0.5449775,0.5427038,0.54422766,0.552645,0.5681502,0.5860378,0.5977313,0.59288114,0.5676896,0.52802664,0.490509,0.47052428,0.4754139,0.49872088,0.52804095,0.55098724,0.56262153,0.5640921,0.55996877,0.55276084,0.5429373,0.5318992,0.5248149,0.5286874,0.54441863,0.5651784,0.57797164,0.5763828,0.5624613,0.54688543,0.5348308,0.52390486,0.50456,0.47425926,0.44017658,0.41728494,0.4141214,0.42722642,0.44288632,0.450007,0.44924796,0.45059994,0.46314836,0.48247066,0.4962627,0.49159387,0.47085035,0.4445347,0.42699897,0.42169246,0.42547834,0.4303057,0.43214616,0.43072763,0.42957723,0.42971322,0.42804274,0.41750267,0.39563754,0.36679575,0.34051892,0.3224438,0.3136767,0.3127563,0.3213338,0.3385061,0.36024168,0.37724364,0.3856696,0.3857673,0.3814861,0.37320516,0.3612728,0.34937593,0.3441768,0.34844446,0.3554878,0.35544267,0.34609747,0.33731794,0.3411235,0.35836926,0.37794662,0.38699928,0.38428867,0.37781814,0.37762702,0.38508868,0.3981211,0.41453424,0.4383458,0.4702591,0.50743794,0.53874034,0.5570097,0.557316,0.5453792,0.5283701,0.51687056,0.51336116,0.51608986,0.5181024,0.5167954,0.5129505,0.51202327,0.5175237,0.5286736,0.53730243,0.53453225,0.5184201,0.49805176,0.48549318,0.4859496,0.49511823,0.50653696,0.5171779,0.5270912,0.53578067,0.5435582,0.551538,0.56015444,0.5633046,0.5547619,0.53365225,0.51214653,0.50201774,0.5084844,0.52166224,0.5326802,0.53754264,0.5440981,0.55596536,0.57049686,0.5762617,0.5678895,0.5479963,0.5259436,0.5079353,0.4959903,0.4906105,0.4919488,0.49973074,0.5094977,0.5188305,0.5241737,0.52652377,0.52265674,0.51573247,0.5080611,0.5079738,0.5147043,0.5251789,0.5312301,0.53173304,0.52820873,0.52455187,0.5223837,0.52161556,0.52177095,0.520307,0.5161307,0.50820404,0.49919638,0.49157727,0.48859107,0.4918292,0.5005481,0.51199305,0.52315474,0.53539866,0.5500504,0.5639325,0.564691,0.54318357,0.50295097,0.46567497,0.45033455,0.46222475,0.48555794,0.50781864,0.5247926,0.5441742,0.56388897,0.57552975,0.5688614,0.5475746,0.52200776,0.50057477,0.4821167,0.46359348,0.44836763,0.4442663,0.4555329,0.47506142,0.49318972,0.50285393,0.5070409,0.50896114,0.5130339,0.51702803,0.5187451,0.5130597,0.5011338,0.48696372,0.4780736,0.478049,0.48908564,0.51003474,0.53640765,0.55635303,0.55750376,0.53550667,0.5001781,0.4667685,0.44585654,0.43866134,0.44457212,0.4637431,0.4958203,0.53223395,0.56083894,0.57132465,0.5622806,0.53873223,0.5093653,0.48536202,0.4761435,0.4854875,0.5060225,0.52719,0.5437587,0.5605903,0.58249444,0.60510033,0.616632,0.61050606,0.5932899,0.5794933,0.5784519,0.5878494,0.59650564,0.5947526,0.5807844,0.562191,0.5505214,0.5529127,0.567408,0.5838281,0.592418,0.58909243,0.5768339,0.56075066,0.5452667,0.5328636,0.5252908,0.5236779,0.5283826,0.5382704,0.5498662,0.5588815,0.56206924,0.56076986,0.5583246,0.55763847,0.557537,0.5560083,0.55198526,0.5454812,0.5347852,0.5172035,0.49418268,0.4712846,0.45447564,0.4409146,0.42417765,0.3997028,0.37507403,0.36023262,0.360957,0.36941043,0.37653598,0.37837836,0.38271376,0.39531216,0.41527376,0.43284115,0.44136763,0.44077027,0.43820283,0.44195175,0.4583601,0.48767808,0.52244306,0.54994804,0.5603592,0.55532146,0.545973,0.5448088,0.5534165,0.5650995,0.569647,0.564219,0.5505435,0.53459615,0.5212836,0.5170005,0.5266483,0.5519237,0.5862188,0.6166961,0.63065743,0.62391037,0.6029847,0.5787396,0.55879,0.5444645,0.53541476,0.53392464,0.54295653,0.5616715,0.5831272,0.5991187,0.6040159,0.5953357,0.5725831,0.5388618,0.5036925,0.4809043,0.4775982,0.48965344,0.50350815,0.51436776,0.5262912,0.5476398,0.5720093,0.58531135,0.5771522,0.5565739,0.54182535,0.545928,0.5650399,0.5860972,0.5968077,0.594105,0.5831111,0.5742109,0.5766942,0.5914512,0.6104668,0.62090904,0.61830854,0.60683393,0.59766155,0.59638554,0.6031735,0.612978,0.622962,0.6321717,0.64128476,0.6489322,0.6520922,0.646985,0.6319619,0.6085167,0.5810148,0.5549441,0.5355513,0.5265248,0.5293567,0.5401605,0.5512006,0.5527615,0.5403649,0.5141184,0.4779402,0.4365398,0.39624205,0.36410317,0.34419155,0.3356996,0.33383223,0.33393276,0.33452845,0.33852234,0.35205698,0.37889683,0.41542044,0.44986203,0.4699706,0.4708978,0.45759842,0.44022545,0.42759028,0.42340162,0.42593622,0.43208155,0.4419334,0.4590927,0.48558834,0.51639014,0.542387,0.557328,0.562509,0.5623986,0.55958563,0.553564,0.5449889,0.5370837,0.5341473,0.53790885,0.54729414,0.5590038,0.56868047,0.5712848,0.56278104,0.5423815,0.514067,0.48568463,0.4659609,0.4604071,0.46872678,0.48561367,0.5055005,0.5243389,0.53943324,0.5447777,0.53603345,0.5127852,0.48258385,0.45311084,0.42983344,0.4153522,0.41268018,0.42310074,0.4416674,0.4580647,0.46387675,0.4592959,0.4513941,0.44608644,0.44381228,0.44065323,0.43371543,0.42304382,0.4128228,0.40916106,0.41771176,0.44027594,0.47115698,0.4992957,0.5111363,0.50154966,0.4736992,0.43795347,0.40056983,0.36395666,0.32760862,0.29379997,0.26605895,0.24761105,0.23890813,0.23757213,0.23918413,0.23919405,0.23566312,0.2295847,0.22386646,0.2217106,0.22707321,0.24499957,0.2766167,0.31586644,0.34951422,0.36754146,0.36704084,0.35153282,0.3243744,0.2922897,0.26686957,0.26399425,0.28539228,0.3167614,0.32978335,0.31276885,0.27233294,0.23312618,0.20903814,0.20203127,0.20180947,0.20150734,0.19845259,0.19466634,0.19211233,0.19153838,0.1912834,0.18817288,0.18235807,0.1801668,0.19484259,0.23205996,0.28481686,0.3304273,0.35502133,0.36003545,0.3660232,0.3881983,0.42925516,0.47595492,0.5139317,0.53438306,0.53847116,0.5328215,0.5259516,0.5234573,0.5259002,0.529489,0.5291216,0.5233653,0.51503104,0.50944185,0.50954777,0.5124127,0.5120914,0.5052451,0.4969245,0.49504814,0.5016782,0.5106013,0.5140392,0.51169306,0.5087518,0.5105395,0.5170724,0.5242084,0.52722925,0.52391243,0.51611274,0.5066325,0.49561623,0.47906685,0.4523674,0.41641966,0.3792099,0.35212433,0.34112373,0.34217885,0.3461076,0.34838608,0.35537922,0.37615764,0.40980563,0.4412258,0.45132503,0.4349973,0.40283048,0.37353835,0.35668615,0.3522044,0.35329032,0.35594034,0.35946098,0.36719784,0.38288078,0.40823844,0.43907627,0.46694943,0.48359942,0.48676944,0.4805043,0.4719057,0.4681355,0.47482267,0.4956106,0.52881074,0.56727505,0.5982608,0.6107881,0.5990563,0.57063466,0.54045135,0.525718,0.52934104,0.5411721,0.5429186,0.52697694,0.499608,0.47622862,0.4657992,0.4664973,0.46978724,0.46995318,0.46644664,0.46152115,0.45641264,0.45109403,0.44520748,0.43933487,0.4359667,0.4396877,0.45580688,0.4846045,0.51834345,0.54158515,0.54144543,0.51351064,0.46537772,0.40930638,0.35792267,0.3186473,0.29521653,0.28850725,0.30031815,0.32995436,0.37198946,0.41294098,0.43979844,0.445738,0.43609405,0.42282948,0.41881636,0.43082234,0.4579353,0.4961041,0.5408916,0.58804953,0.62745976,0.6455795,0.63352084,0.5977568,0.55897784,0.5387456,0.54299515,0.55779976,0.5594967,0.53439516,0.48648667,0.43529916,0.39968288,0.38901392,0.39932132,0.41972974,0.4398737,0.45369375,0.4620695,0.46801472,0.47526416,0.48160005,0.48242065,0.47454873,0.46408817,0.46367207,0.48035297,0.5076141,0.5256497,0.52184075,0.49793017,0.4729065,0.4602691,0.46245798,0.4677665,0.46961343,0.4710249,0.48450685,0.51742214,0.56440574,0.60791534,0.62825257,0.6178391,0.5850759,0.5494487,0.5256328,0.5177147,0.52093154,0.52898985,0.5372324,0.5422933,0.5466196,0.55682254,0.5807175,0.61769485,0.660301,0.6991958,0.7293611,0.74926853,0.7577056,0.7517114,0.72660655,0.67962074,0.6165473,0.55327624,0.5105104,0.4983513,0.5134104,0.54100746,0.5699575,0.5951632,0.61907744,0.644934,0.67307764,0.699523,0.7178193,0.7247522,0.72088385,0.71051615,0.6975766,0.6862032,0.6783386,0.6739877,0.6688836,0.6608069,0.6520328,0.6512232,0.6633838,0.68488437,0.70399684,0.71015936,0.70137614,0.68359023,0.6676142,0.6613553,0.66836286,0.68336886,0.6989331,0.70731753,0.7091832,0.70720786,0.70376545,0.69133705,0.65837485,0.594457,0.5037355,0.40566048,0.33132055,0.30262324,0.32198328,0.36768487,0.41640487,0.45319024,0.4802772,0.5006636,0.5161751,0.52174264,0.515056,0.49659982,0.47289097,0.45204127,0.43948007,0.43623373,0.43804035,0.4435328,0.45253524,0.46994618,0.49410692,0.52061135,0.53893566,0.54557955,0.54207677,0.5376087,0.53902984,0.54883265,0.5621237,0.5719064,0.5744567,0.57184416,0.56885433,0.5666687,0.5633159,0.5555907,0.54484636,0.5339409,0.52763504,0.5272064,0.5324761,0.53915703,0.54374903,0.5436778,0.54091483,0.53751516,0.534503,0.5282738,0.516543,0.502256,0.49516094,0.502835,0.52157325,0.5402169,0.55056906,0.55927986,0.57736033,0.60965574,0.64359474,0.6622152,0.6545448,0.62657356,0.59165,0.56239134,0.5403616,0.5223238,0.5046684,0.4900361,0.4811733,0.4798434,0.485013,0.49545622,0.50858164,0.5196614,0.52791816,0.53573877,0.5476052,0.55924577,0.5638582,0.55783653,0.5487073,0.5459901,0.55398923,0.56804484,0.5810464,0.586171,0.57999665,0.56163645,0.5370252,0.5156962,0.5089758,0.5216472,0.55196834,0.5903546,0.6256501,0.6490199,0.6580772,0.6547207,0.6395846,0.61142033,0.5708124,0.5277258,0.4969205,0.48737034,0.49412188,0.50420874,0.5115781,0.51980406,0.53615683,0.55751175,0.5744142,0.5774241,0.5683046,0.55351704,0.5391025,0.5243385,0.50878006,0.49479398,0.4874365,0.48881412,0.49757636,0.5123339,0.529962,0.5459654,0.5530246,0.5522144,0.55086863,0.5602827,0.5812793,0.6074721,0.62820786,0.6384875,0.63616276,0.62288636,0.60037875,0.57393503,0.54808766,0.5279251,0.5141546,0.5069508,0.50446755,0.5073125,0.51487535,0.52569884,0.534638,0.53920555,0.54277223,0.5528989,0.5715322,0.5854426,0.578027,0.54274946,0.49977696,0.47601485,0.48855612,0.52534866,0.5619413,0.57855695,0.57643574,0.57216686,0.58169454,0.60863215,0.6398713,0.6595724,0.6566166,0.63323,0.59688675,0.5582546,0.52508485,0.50355834,0.4959859,0.5015681,0.5147255,0.5273462,0.5319442,0.5291701,0.52702236,0.53508663,0.5537069,0.57492274,0.58923644,0.59466416,0.5962687,0.60116094,0.6132002,0.62980086,0.64369863,0.6457787,0.63325447,0.61090136,0.5892524,0.57571256,0.5722007,0.57551116,0.5797503,0.57679343,0.5585477,0.52364,0.47921443,0.43706,0.40337145,0.37865052,0.36063257,0.35120347,0.35055992,0.3558224,0.3575823,0.3524315,0.34447062,0.3486935,0.3752195,0.42561674,0.48733583,0.54508805,0.584636,0.5994113,0.5896906,0.5645688,0.53856903,0.5251588,0.52848744,0.54219127,0.55579424,0.5618146,0.5590616,0.5480409,0.5322532,0.5149054,0.50305474,0.4991502,0.50355655,0.51104707,0.51924914,0.5264581,0.5348633,0.5450189,0.55669475,0.5644247,0.5620818,0.54646134,0.5232362,0.50265044,0.49338797,0.49610195,0.50801736,0.5237619,0.54182607,0.55849594,0.57477075,0.5892368,0.60242605,0.6085568,0.6046994,0.5927332,0.5843056,0.58884364,0.60648006,0.6259603,0.6384253,0.6444703,0.65223956,0.6638709,0.67082673,0.6615987,0.6337917,0.59799,0.5676175,0.549789,0.54191357,0.5378194,0.53282666,0.52650064,0.5237835,0.5333745,0.56198454,0.6079681,0.6591683,0.7017093,0.7256789,0.7304428,0.71863335,0.6946354,0.66025645,0.61882216,0.57811975,0.5526826,0.55450845,0.5818689,0.6162191,0.6378247,0.64100254,0.63688016,0.6356721,0.6364232,0.6274345,0.60217,0.5649748,0.53023416,0.5115351,0.513091,0.52687365,0.5372103,0.53352493,0.515898,0.49417567,0.47682142,0.46575752,0.45646164,0.44409505,0.42860177,0.41558287,0.41310847,0.42289412,0.4374698,0.44311038,0.43386576,0.41574097,0.40449622,0.4111363,0.43671393,0.4713458,0.5032708,0.52479666,0.53657705,0.5436817,0.5502762,0.5553703,0.55602264,0.5513436,0.5443196,0.5384087,0.534745,0.5321873,0.5298798,0.52926856,0.53367114,0.54574287,0.5643082,0.58417314,0.59818673,0.60274994,0.5975941,0.58490497,0.5642121,0.53671783,0.50770116,0.48798266,0.48475668,0.49592793,0.5124113,0.52497345,0.530145,0.52555925,0.51388246,0.5004234,0.49762216,0.5099043,0.5318244,0.54745936,0.5497584,0.54456216,0.54582196,0.55854553,0.5752229,0.5832262,0.5792524,0.57131773,0.5721529,0.5846018,0.60040325,0.60520107,0.5935961,0.5721853,0.5562056,0.5564306,0.57154757,0.5898619,0.5978007,0.5913684,0.5752382,0.55936605,0.54889554,0.544589,0.54302424,0.5415246,0.5395069,0.53974813,0.5470014,0.5621667,0.5798879,0.5887503,0.58214283,0.5607636,0.53356403,0.5078543,0.489136,0.47939095,0.47870424,0.48286796,0.48514283,0.48082182,0.46860301,0.44835532,0.41928697,0.38409197,0.3524218,0.33801284,0.3458408,0.36755463,0.38359427,0.3842207,0.37324294,0.3683269,0.37843212,0.4034574,0.43465564,0.46858087,0.5031607,0.534357,0.55556065,0.56400824,0.56521225,0.5654951,0.56612176,0.5623462,0.5521237,0.53967816,0.53157276,0.5290088,0.5271266,0.5204404,0.50857896,0.49503458,0.48459506,0.4807266,0.48778734,0.5095067,0.54709214,0.59327126,0.6333687,0.65160686,0.64268804,0.6147322,0.5817578,0.5528414,0.53114957,0.51994586,0.524743,0.5450819,0.5707643,0.58703774,0.58666223,0.57132006,0.5469882,0.52024746,0.4987938,0.49096695,0.49907994,0.51791954,0.5377898,0.5518661,0.55722183,0.5541675,0.54651505,0.5402383,0.5405217,0.54408056,0.5450223,0.5392192,0.533535,0.5340125,0.54149646,0.54690504,0.5463998,0.54536,0.5562168,0.58187604,0.6130381,0.63373023,0.6361014,0.6214458,0.5971442,0.56844527,0.5389061,0.5105017,0.48570922,0.4673103,0.45851088,0.46230686,0.47722563,0.49678358,0.5103237,0.5127248,0.50604737,0.49886715,0.4970747,0.5026911,0.51499444,0.5321101,0.5505994,0.5637476,0.5683138,0.56372434,0.5535887,0.53650224,0.51269466,0.48292553,0.4553992,0.4328479,0.41432998,0.3909106,0.36215734,0.33425966,0.32200256,0.3310059,0.35519883,0.37627462,0.38020718,0.36726692,0.3542101,0.36126384,0.3972834,0.45342577,0.510274,0.5517544,0.5729178,0.5800877,0.58002996,0.57644254,0.5659377,0.5500936,0.5346366,0.53199893,0.54558754,0.5705742,0.59421676,0.6100165,0.617614,0.62175393,0.6252456,0.6297001,0.63484913,0.6382994,0.6351697,0.6212821,0.59838295,0.57351774,0.55545753,0.54856867,0.5536672,0.56861967,0.5900555,0.610955,0.6222804,0.61594075,0.5918758,0.5596249,0.535793,0.533463,0.55394703,0.58596617,0.61211276,0.6205551,0.6075411,0.5805056,0.54873013,0.52260756,0.504747,0.4957198,0.49193868,0.49219784,0.49337503,0.4925996,0.48723745,0.47807392,0.46956846,0.4657353,0.4694556,0.47919738,0.49231443,0.50253373,0.50624347,0.50224084,0.49599507,0.49309626,0.49762845,0.50838786,0.52228683,0.5363974,0.55071497,0.5669287,0.5852559,0.6020896,0.6115369,0.61055726,0.600267,0.58452666,0.5665445,0.5513808,0.54599327,0.5554518,0.57557577,0.5936918,0.5956361,0.5736978,0.52629775,0.46047327,0.3902522,0.33766794,0.31732425,0.32827035,0.35017323,0.36132228,0.35425714,0.34223595,0.34764305,0.38289642,0.44113198,0.50057364,0.5415521,0.5582101,0.5580984,0.5532958,0.5493105,0.54409367,0.5307677,0.5087008,0.4872088,0.48183468,0.5002072,0.5339839,0.56435895,0.5771288,0.57139164,0.5553418,0.536269,0.5174214,0.50118697,0.49187157,0.49269244,0.5025675,0.517513,0.53420454,0.5510829,0.5647335,0.5684797,0.5550861,0.5231056,0.47969946,0.43706056,0.40569136,0.3887848,0.38280353,0.38138565,0.38117746,0.3852807,0.40033296,0.42938006,0.46407357,0.48885044,0.49107733,0.4715759,0.440982,0.41074368,0.3858622,0.36769402,0.35798833,0.35878685,0.36793363,0.37842247,0.38339594,0.38208088,0.3792492,0.37940714,0.3823456,0.38410446,0.38165537,0.37503788,0.3672446,0.3612362,0.35863206,0.35841012,0.35845757,0.35678378,0.35302794,0.34806576,0.34238836,0.33519757,0.32330105,0.30449167,0.27874187,0.25110647,0.2272688,0.21148174,0.20265101,0.19717927,0.19068639,0.18118817,0.16861416,0.15466161,0.1414144,0.1310349,0.1251273,0.124963075,0.13118978,0.1428997,0.1568744,0.16808832,0.17275836,0.17015068,0.1628561,0.15621157,0.15692961,0.17239602,0.20223285,0.23871255,0.26777184,0.28388396,0.28943998,0.2926711,0.29762065,0.30482247,0.31384802,0.32512644,0.33862972,0.35055616,0.35383603,0.3446486,0.32868037,0.3215835,0.33328548,0.35975465,0.3814746,0.38686466,0.3797327,0.38067123,0.40089917,0.43563983,0.46476206,0.4760032,0.47102055,0.46422553,0.46707988,0.4834098,0.5078165,0.53313136,0.5526185,0.5626063,0.5598427,0.54384136,0.5189788,0.49763083,0.49349436,0.51306635,0.54862094,0.58354765,0.6020574,0.5972542,0.57346296,0.5425436,0.51964235,0.51322716,0.51987696,0.52575135,0.5192625,0.5018966,0.48583707,0.4837433,0.49645638,0.5155694,0.52758336,0.5266157,0.5146068,0.5012856,0.49283388,0.48898515,0.48604193,0.48450303,0.49148878,0.51098627,0.5373164,0.55455977,0.549472,0.52060795,0.48028293,0.44483677,0.4253627,0.4225961,0.43096748,0.4444089,0.46118617,0.48194066,0.5051799,0.5242648,0.5329959,0.5324459,0.5342123,0.5473415,0.56838393,0.57712793,0.5578878,0.51311845,0.47038653,0.45782351,0.48809323,0.54572517,0.60451347,0.6393749,0.6423847,0.61949545,0.5890105,0.5693233,0.57090455,0.589026,0.6075273,0.611464,0.5964389,0.5714359,0.5460262,0.5235574,0.4982977,0.4665966,0.4329838,0.41059723,0.4115219,0.43722025,0.4756776,0.5079968,0.5206387,0.5133632,0.49880347,0.49092183,0.49592495,0.5072847,0.5160089,0.5163481,0.5115423,0.50616735,0.50483155,0.50928015,0.52150065,0.5424785,0.5703532,0.59859514,0.61648744,0.6169742,0.60189146,0.584747,0.5768065,0.57645863,0.56498164,0.5268727,0.4677653,0.41586056,0.3979752,0.4180071,0.4582602,0.49538267,0.5141615,0.50742155,0.47897258,0.4421799,0.41847238,0.41829583,0.43846348,0.4624327,0.48376337,0.5037024,0.53035164,0.55898553,0.57991576,0.5839207,0.57801217,0.57699794,0.594618,0.62937623,0.66949433,0.69840455,0.70375067,0.6798754,0.63220906,0.57949513,0.5405862,0.5228227,0.51190996,0.4933424,0.4627234,0.4344922,0.42124048,0.42742386,0.44432256,0.4625384,0.47604933,0.48566237,0.49331078,0.50016093,0.5056643,0.5119117,0.52242935,0.53878313,0.55406547,0.557107,0.5403823,0.5104125,0.48129484,0.46477154,0.46006635,0.46117267,0.46431696,0.46981487,0.47687426,0.48105386,0.48028246,0.47614655,0.47377947,0.47529045,0.4809247,0.4864732,0.48785785,0.48111907,0.47026727,0.46377397,0.47072133,0.49080148,0.51614636,0.5377765,0.55303735,0.5647762,0.57389396,0.5769932,0.56840354,0.5498435,0.52834123,0.51306653,0.5049572,0.50100935,0.49578634,0.48779133,0.4754713,0.45986977,0.44328642,0.4304335,0.4239267,0.42379585,0.4297832,0.4416165,0.45865312,0.47504377,0.48487505,0.4832673,0.47244644,0.45680365,0.4439582,0.43986383,0.45025787,0.4747819,0.5080602,0.5386322,0.5554665,0.55099225,0.5249131,0.48620018,0.44970083,0.43221378,0.44031748,0.46921209,0.5014958,0.5223283,0.5261472,0.52265364,0.5248677,0.53987736,0.56340384,0.58592224,0.6002505,0.60468,0.6017105,0.5945386,0.58382744,0.5693609,0.5522612,0.53958344,0.53926224,0.55365974,0.57373065,0.58336955,0.5699844,0.53204125,0.4802296,0.4302247,0.3943647,0.37606427,0.36921442,0.3665844,0.36656144,0.37753776,0.40512052,0.4447868,0.4776276,0.48917183,0.4765264,0.45245716,0.43050787,0.42099965,0.4279276,0.44933143,0.47751585,0.5009,0.5140403,0.51733345,0.5144748,0.5047819,0.488772,0.47176316,0.46562305,0.4754708,0.49748394,0.5171396,0.5277617,0.52951294,0.5329372,0.5407646,0.55088395,0.5542536,0.5496497,0.54167134,0.54117966,0.55236334,0.57289785,0.5928221,0.6071171,0.6148694,0.6207455,0.62414134,0.6200555,0.6011028,0.56680167,0.5283971,0.50136846,0.49531364,0.5041084,0.51504725,0.5187859,0.5163038,0.5136687,0.5166452,0.5290581,0.5517447,0.5810282,0.60644346,0.61618155,0.6036885,0.57478637,0.5432958,0.52347034,0.520569,0.5297084,0.54211926,0.5507639,0.55449444,0.5523557,0.54206866,0.5197913,0.48695746,0.45326987,0.43131277,0.42727807,0.4351679,0.44388962,0.44869706,0.45426655,0.46841434,0.48991314,0.5114431,0.5245581,0.5298521,0.5316332,0.53390235,0.53670365,0.5389972,0.54255813,0.5489247,0.5596184,0.5720306,0.58174735,0.5823247,0.5709055,0.55222726,0.5353833,0.5256963,0.51900715,0.50916046,0.4973373,0.49330842,0.50673527,0.53814715,0.5780874,0.61083823,0.62135196,0.6019454,0.55777717,0.5047885,0.46007296,0.43149796,0.41654977,0.40998614,0.41104174,0.42185143,0.44159588,0.46504745,0.48625997,0.50232685,0.51054066,0.509461,0.4994422,0.4887227,0.48585942,0.49649593,0.51533145,0.53653437,0.55465716,0.5711619,0.5842471,0.5922914,0.59232384,0.58875465,0.5888236,0.59843886,0.61420226,0.6250331,0.62026423,0.5980494,0.56848454,0.5457364,0.53979677,0.54776454,0.5586336,0.5595562,0.54883915,0.5324517,0.52050906,0.51504683,0.51434684,0.51429033,0.51553315,0.5185947,0.5236123,0.52846295,0.5316764,0.53353864,0.5346417,0.53718466,0.5397274,0.5388365,0.52745384,0.50657827,0.48591876,0.48058084,0.49554196,0.52301586,0.54915094,0.5659513,0.5726905,0.5695085,0.55497056,0.5295848,0.50198114,0.4826983,0.47706792,0.47915557,0.4820445,0.48271248,0.4863015,0.49568477,0.5110075,0.5273102,0.5426565,0.55664986,0.57094973,0.5836844,0.59002167,0.5840903,0.5646343,0.5390026,0.52112603,0.5237724,0.54761225,0.58033794,0.6037502,0.6071356,0.5903017,0.5611786,0.52841014,0.4993359,0.47871014,0.4683516,0.46707332,0.47177354,0.47970834,0.48843607,0.49547747,0.4976972,0.49256495,0.4796182,0.46087143,0.4404752,0.42259288,0.41021457,0.40368405,0.40188396,0.4036821,0.40887988,0.41728237,0.42635944,0.43210018,0.4301609,0.41912404,0.39901945,0.3716245,0.33920613,0.30633122,0.27822605,0.25895286,0.24924763,0.24722578,0.25002638,0.25477093,0.25904885,0.26121518,0.2610633,0.25938714,0.25704995,0.25405678,0.24978875,0.24449034,0.24046262,0.24167182,0.25050628,0.26495484,0.2791796,0.28719652,0.2866752,0.2785662,0.2661706,0.2524797,0.23960792,0.2268976,0.21308033,0.19901663,0.18987744,0.19142723,0.20455658,0.22383744,0.24144264,0.25206947,0.2535881,0.24571995,0.23007244,0.21038222,0.19206303,0.17853339,0.17074473,0.16661757,0.16370799,0.15979463,0.15432699,0.14799167,0.14130442,0.13496996,0.13053313,0.13203526,0.14201415,0.15775715,0.17070363,0.17328323,0.16478921,0.15048611,0.13520987,0.12050405,0.10741388,0.09953689,0.10045167,0.108537436,0.11652461,0.11631003,0.10575118,0.08983024,0.07772425,0.07691944,0.09047759,0.11654055,0.15000476,0.18352686,0.21002795,0.22522219,0.22971578,0.22634546,0.21806847,0.20680904,0.19706814,0.19495581,0.20501192,0.22359915,0.24012034,0.2426693,0.22744851,0.20027451,0.1725285,0.15270592,0.14351803,0.14291169,0.1479981,0.15721898,0.17028232,0.18687822,0.20378,0.21578097,0.21842028,0.21314143,0.20590049,0.20213069,0.20122154,0.19744457,0.18631214,0.16909516,0.1530505,0.14502083,0.14671208,0.1533767,0.15874077,0.16050886,0.1614452,0.16594005,0.17396154,0.18022758,0.17722683,0.16208304,0.1391016,0.11797839,0.107615404,0.11237583,0.13035946,0.15640773,0.18403071,0.21045141,0.23554246,0.26090094,0.28393546,0.2994218,0.30221817,0.292269,0.27373728,0.25220248,0.23183684,0.21479815,0.20175014,0.19183855,0.1830637,0.17349117,0.16416003,0.15906821,0.16245216,0.17293711,0.18386735,0.18704057,0.17972107,0.16539955,0.1511388,0.14224486,0.13920945,0.13856106,0.13653404,0.1332885,0.1323921,0.136631,0.14408179,0.1492036,0.1477233,0.14000349,0.13020997,0.12271113,0.119151324,0.118015915,0.11594056,0.10989555,0.09890303,0.085057415,0.07316183,0.06900236,0.07632938,0.09548459,0.123182565,0.15523759,0.18691005,0.21536903,0.23857892,0.2562584,0.26610383,0.26505694,0.25080535,0.22719336,0.2032566,0.18935448,0.19084235,0.20616485,0.22899485,0.25148666,0.26761234,0.27330628,0.2684195,0.2553018,0.23901016,0.22410822,0.21416098,0.21013409,0.21004128,0.21010214,0.20640089,0.19855045,0.18769579,0.1768858,0.16810687,0.16543329,0.1714381,0.1856839,0.20120372,0.21044631,0.21048294,0.20457481,0.19615428,0.18513991,0.17023964,0.1534047,0.13969834,0.13262993,0.13094147,0.12981659,0.12520774,0.11733121,0.110953026,0.11297852,0.12900893,0.16004437,0.20036106,0.23769648,0.26036325,0.26409754,0.2555713,0.24382965,0.23482704,0.22922868,0.22921674,0.23915404,0.26314607,0.29832742,0.33332983,0.35221538,0.3442223,0.31116092,0.2671772,0.2303542,0.21327531,0.21839853,0.23755471,0.2580223,0.26909676,0.2704564,0.26871768,0.27148584,0.2786168,0.28537342,0.2870631,0.2831806,0.27457622,0.26051977,0.2404089,0.21727644,0.19915561,0.19302414,0.19860297,0.20747729,0.20963788,0.20192339,0.1887197,0.17779006,0.17211486,0.1700659,0.16725926,0.1621824,0.15545441,0.15008028,0.14987218,0.16028024,0.18448092,0.22071476,0.26080716,0.29824102,0.33187833,0.36640462,0.40195248,0.4327644,0.44937882,0.44761768,0.42877555,0.39901546,0.36678362,0.34145692,0.32846668,0.3256023,0.32502404,0.3209767,0.31250724,0.30228117,0.29094318,0.28004384,0.2718304,0.27003875,0.27422854,0.2813245,0.2898701,0.3026483,0.3217343,0.3398539,0.3428346,0.3204387,0.27856117,0.23574227,0.20996408,0.20562954,0.21407361,0.22254741,0.22388087,0.21789408,0.20756316,0.19463931,0.178712,0.15907966,0.13618354,0.11319994,0.09570951,0.09064901,0.10201237,0.12945038,0.16796015,0.21240564,0.2567723,0.29672328,0.32801953,0.35101318,0.3676574,0.3816552,0.39398697,0.40295482,0.40305385,0.38906217,0.362722,0.33583358,0.32376406,0.33225563,0.35242748,0.36928234,0.3760265,0.37864003,0.3868048,0.40306413,0.4204456,0.4306567,0.43006995,0.42015788,0.4022167,0.3760358,0.34151223,0.3012404,0.2597985,0.22139448,0.18834157,0.16153705,0.14270286,0.13650592,0.14835231,0.17927279,0.22087197,0.25994068,0.28580558,0.29649583,0.29439187,0.28153408,0.2571247,0.22139616,0.17873581,0.13820446,0.11028772,0.10120239,0.110100985,0.12920536,0.15019067,0.16712642,0.17980336,0.19189286,0.20988494,0.23707138,0.268483,0.29304203,0.30109453,0.29307118,0.275879,0.25705037,0.23911862,0.22243218,0.20946418,0.2050101,0.21206887,0.22571045,0.23518594,0.23197635,0.21663517,0.19768734,0.18362278,0.17959309,0.18576813,0.19960417,0.21502197,0.22592747,0.22901659,0.22535391,0.21844946,0.21006988,0.200893,0.19025166,0.18141751,0.178316,0.18435347,0.19555958,0.20535757,0.20755787,0.20261814,0.19361706,0.1862074,0.18442915,0.19123708,0.20334649,0.21484077,0.21960218,0.21783067,0.21173055,0.2039244,0.19339943,0.17888182,0.15922092,0.13691759,0.11838067,0.11080096,0.11513784,0.12198961,0.11864886,0.09897754,0.069044,0.04018965,0.02084598,0.012014058,0.010372019,0.011875487,0.013821636,0.014683588,0.013858333,0.011577394,0.008701073,0.0066734976,0.007236043,0.01264821,0.023950927,0.040381227,0.057857096,0.072349906,0.08150792,0.08690246,0.09006884,0.09018254,0.083640605,0.06869615,0.048283268,0.028584162,0.014446798,0.0068198983,0.003705439,0.0028976325,0.003546992,0.0064154244,0.012667686,0.02265761,0.034812286,0.046395678,0.05480012,0.059035614,0.059471007,0.05717726,0.05306843,0.04789102,0.042233285,0.03660672,0.03135438,0.026671203,0.02263771,0.019259237,0.016499437,0.014299646,0.012592449,0.011292896,0.01031064,0.00958055,0.009066913,0.008737519,0.008527189,0.008346041,0.008115894,0.007803541,0.007421352,0.0070001283,0.006564066,0.006119171,0.0056638843,0.005198945,0.0047335126,0.004279626,0.0038521274,0.00347032,0.003160987,0.0029445207,0.002818085,0.0027434006,0.0026661747,0.0025461994,0.002383752,0.0022094331,0.0020562944,0.0019338354,0.0018284485,0.0017205415,0.0016001166,0.0014700316,0.0013391348,0.0012144704,0.0010982249,0.0009878426,0.00087982556,0.00077138754,0.00066263234,0.0005555137,0.00045312778,0.0003586081,0.00027473966,0.00020442855,0.00014988337,0.00011291727,9.3097646E-05,8.7835826E-05,9.1452384E-05,9.802333E-05,0.00010304025,0.00010534381,0.00010558363,0.00010536361,0.00010535345,0.00010444014,9.922429E-05,8.6431275E-05,6.644214E-05,4.4005414E-05,2.5365274E-05,1.3719233E-05,8.46598E-06,6.9724974E-06]