[0.00019070244,0.0001727543,0.00013821425,0.000104380124,8.184114E-05,7.128547E-05,6.7661946E-05,6.6848625E-05,6.6777546E-05,6.666409E-05,6.5931206E-05,6.398351E-05,6.0466366E-05,5.5676413E-05,5.0851555E-05,4.7325102E-05,4.5395427E-05,4.4099757E-05,4.2146185E-05,3.8963477E-05,3.4821434E-05,3.0422254E-05,2.6419226E-05,2.3236535E-05,2.0924615E-05,1.9064408E-05,1.7162822E-05,1.5049222E-05,1.3159942E-05,1.1765973E-05,1.06400885E-05,9.041106E-06,6.7269266E-06,4.0978093E-06,1.9552942E-06,6.73137E-07,1.5148579E-07,1.3678214E-08,0,0,0,1.4208203E-07,1.653178E-06,9.18968E-06,3.665393E-05,0.00011260858,0.00029210528,0.000666683,0.0013813818,0.0026260922,0.004605056,0.0075089354,0.011536102,0.016963597,0.024074888,0.03293768,0.043067705,0.0535097,0.06324154,0.07185317,0.079579175,0.086846225,0.09344571,0.0985712,0.10156707,0.102858156,0.103740595,0.1055591,0.10899242,0.11425177,0.12092856,0.12802996,0.13409351,0.13858074,0.14204945,0.14570017,0.14986993,0.15434082,0.15857273,0.16225827,0.16474229,0.16520606,0.1629309,0.15779431,0.1503386,0.14149405,0.13247208,0.124616824,0.11959203,0.11831653,0.1197699,0.12012476,0.11549649,0.10502773,0.0929111,0.08470547,0.08359205,0.08803741,0.09507733,0.10307548,0.11262593,0.12408117,0.13622832,0.14720565,0.15630585,0.16440511,0.1725465,0.18090133,0.18879752,0.19600122,0.2032582,0.21222192,0.22418548,0.23960304,0.25771227,0.27683535,0.29419717,0.306122,0.309328,0.3023514,0.28661057,0.2648416,0.23963428,0.21219964,0.18371041,0.15581165,0.13070507,0.10942182,0.09184734,0.07684522,0.06379675,0.05239206,0.043035526,0.03591052,0.031047128,0.027857319,0.025772816,0.024378022,0.023542823,0.02306196,0.022687407,0.02232718,0.02205588,0.021913268,0.021585086,0.020733045,0.019240687,0.017563542,0.016265431,0.0157437,0.01586132,0.016251681,0.01653684,0.016590362,0.01640932,0.01603906,0.015485894,0.0148528665,0.014320915,0.014177139,0.014588251,0.015537095,0.0166762,0.017509645,0.017597578,0.016843135,0.015516378,0.014084189,0.012960925,0.012343355,0.012207553,0.012368433,0.012584514,0.012664969,0.012532029,0.012249731,0.011938065,0.011727299,0.011674441,0.011781733,0.011993189,0.0122224735,0.012359798,0.012293286,0.011984731,0.0114851305,0.010917972,0.010374532,0.009899537,0.009516419,0.00927649,0.009276728,0.009659141,0.010629681,0.012416755,0.015196028,0.019035667,0.02388606,0.029607728,0.035896484,0.0422779,0.048140917,0.05295323,0.056413144,0.0585731,0.059888154,0.061132934,0.06319509,0.06661741,0.071491845,0.07753561,0.08452011,0.092329316,0.10103163,0.11067294,0.12111648,0.13178079,0.14197798,0.15140927,0.16036984,0.16921832,0.17815067,0.18734099,0.1971096,0.20735262,0.21741623,0.22659439,0.23485784,0.24311487,0.25182992,0.26031053,0.26500797,0.2627603,0.2525883,0.23839645,0.22370565,0.20921992,0.19257241,0.17358355,0.15550618,0.14143866,0.13149063,0.12305629,0.11523185,0.109023504,0.106003255,0.10551634,0.10522581,0.10304583,0.09859365,0.09314559,0.08817497,0.0845898,0.08251502,0.08178875,0.08211339,0.08317851,0.084727116,0.08705389,0.09093373,0.09704426,0.10494587,0.11308103,0.11983136,0.1244176,0.12702179,0.12791646,0.12721443,0.124683656,0.12040039,0.115062304,0.11064029,0.1094152,0.11275383,0.11985334,0.12871279,0.13780706,0.14694716,0.15684526,0.16784741,0.17989153,0.19238217,0.20464192,0.21584022,0.22532547,0.23307496,0.23965462,0.24628498,0.2537818,0.26243767,0.27120462,0.2787843,0.28368044,0.2853545,0.28362596,0.27925912,0.2734393,0.26781714,0.26323667,0.2591374,0.25365484,0.24490266,0.23198207,0.21505934,0.19472755,0.17181264,0.147523,0.12375566,0.1023843,0.084571235,0.07017643,0.058377434,0.048286807,0.03955554,0.03221619,0.026502294,0.022529075,0.020199174,0.019163674,0.018994754,0.019332876,0.019913457,0.020493077,0.020863509,0.020973684,0.020929493,0.020854956,0.020767244,0.020666445,0.02064857,0.020852378,0.021274203,0.021693649,0.021831697,0.021548124,0.020938583,0.020276895,0.019920683,0.020286633,0.021895265,0.025491012,0.0319208,0.041724548,0.054508265,0.06873081,0.082200885,0.09303913,0.10047174,0.1048084,0.106921434,0.10748869,0.10682552,0.10500669,0.102330565,0.0993853,0.09698673,0.09577299,0.096084744,0.09777155,0.10033372,0.102856815,0.104259394,0.103512995,0.10005551,0.094078265,0.08653585,0.07903856,0.073468365,0.07151825,0.074081905,0.08067333,0.089698434,0.09915143,0.10794755,0.116006024,0.12406544,0.13268508,0.14237224,0.15324722,0.16539611,0.1783834,0.19194353,0.20594494,0.22085355,0.23693104,0.25411454,0.2717779,0.2894429,0.30692506,0.32436684,0.341627,0.35819352,0.3732222,0.38566566,0.394376,0.39822364,0.39697734,0.39131665,0.3826151,0.3715315,0.35764328,0.33942416,0.3154107,0.2852461,0.25047633,0.21390684,0.17825884,0.14501645,0.11491739,0.08875728,0.06773047,0.052457195,0.042534545,0.036688033,0.033641562,0.03233279,0.031902637,0.031556595,0.03087549,0.030055558,0.029877456,0.031207493,0.034415927,0.03918436,0.044800147,0.05085525,0.05743715,0.065157734,0.07441722,0.08555254,0.09838047,0.11289356,0.12862618,0.14534874,0.16231038,0.17884743,0.19360101,0.2052903,0.21266206,0.2154842,0.21430106,0.21056698,0.2060297,0.2027024,0.20219482,0.20535333,0.21164979,0.21943617,0.22651117,0.23103333,0.2322836,0.23075877,0.22812985,0.22622544,0.22651918,0.2288636,0.23162802,0.23208936,0.22836484,0.22061436,0.21122794,0.20366126,0.20086443,0.20421167,0.21281283,0.22368456,0.23288192,0.23711805,0.23488958,0.22631508,0.21230942,0.19421405,0.17367966,0.15295704,0.1341526,0.11872234,0.10691,0.09824073,0.09238251,0.08934653,0.089543544,0.09284401,0.09896523,0.10711197,0.116651095,0.12660433,0.1361836,0.14475314,0.15259631,0.16088004,0.17157902,0.18642782,0.20598762,0.2289366,0.25251377,0.27360785,0.29008815,0.30144966,0.308841,0.3143883,0.3205727,0.32876834,0.3381532,0.3448478,0.3438641,0.3318068,0.3093525,0.28054267,0.25043407,0.22232145,0.19695385,0.17303316,0.1492817,0.12518726,0.10175866,0.08026297,0.06230417,0.048693407,0.039813098,0.03489548,0.03284437,0.032286283,0.032314956,0.03232053,0.032041445,0.03133406,0.030089622,0.028351946,0.026358975,0.02464509,0.023672989,0.02361255,0.024155078,0.024890827,0.025473693,0.02582331,0.025835259,0.025552271,0.025043784,0.02458255,0.024273463,0.02411515,0.023949755,0.023714265,0.023406086,0.023038417,0.02260829,0.02213739,0.021894611,0.022420684,0.024545878,0.028993718,0.03647115,0.047494594,0.062491763,0.080777384,0.10040393,0.11847945,0.13297124,0.14341544,0.15053628,0.15509169,0.15726353,0.15704869,0.1544635,0.14986849,0.14379466,0.13702588,0.13046494,0.12497566,0.12114885,0.11891987,0.117544375,0.11600559,0.11379394,0.111327946,0.1095408,0.10915337,0.11005687,0.11165243,0.11340595,0.11543989,0.11796123,0.12092189,0.123495996,0.125244,0.12596494,0.12662911,0.12787344,0.13062173,0.13446945,0.13882531,0.14235286,0.14446926,0.14513038,0.14543705,0.14740412,0.15357946,0.16565241,0.18288696,0.2015285,0.21622492,0.22283943,0.22106342,0.21488146,0.21011168,0.21118629,0.21894765,0.23162745,0.24651198,0.26144192,0.27461764,0.28447294,0.29035687,0.29309872,0.29472208,0.29587874,0.2945043,0.28617805,0.2675546,0.2386365,0.20298815,0.16579826,0.13194367,0.10527099,0.087911285,0.08026063,0.08068613,0.08638411,0.09420487,0.10164874,0.1073773,0.11120973,0.114051014,0.11728352,0.122363925,0.12993364,0.13972354,0.15075503,0.16239755,0.17473213,0.18834472,0.203515,0.21997292,0.23732619,0.2553428,0.27395904,0.29268587,0.3108916,0.32804456,0.3444006,0.36073574,0.37809846,0.39666343,0.4146255,0.4277769,0.4312197,0.42247096,0.40262887,0.37509015,0.34224752,0.30461004,0.26179698,0.21501745,0.16834462,0.1273408,0.09674686,0.077530436,0.067384474,0.061902553,0.057607185,0.052797038,0.048007518,0.044253055,0.041990634,0.040470507,0.038873535,0.03701589,0.035530414,0.035022184,0.035570443,0.036597833,0.037282262,0.036955908,0.035421163,0.03303139,0.030479418,0.028435996,0.027122328,0.026271002,0.025413768,0.024346454,0.023250384,0.022452286,0.022096023,0.022093147,0.022303352,0.022648325,0.023080932,0.02349074,0.023789698,0.023935007,0.023989359,0.024138091,0.024957715,0.027443757,0.032724604,0.041372117,0.053146824,0.06699315,0.08139687,0.094507284,0.10468823,0.111150414,0.114596434,0.116936944,0.12058712,0.12717076,0.13716245,0.14972906,0.16365267,0.17821063,0.19320822,0.20926364,0.22564788,0.24110095,0.2528753,0.2597932,0.2616905,0.2597921,0.25503376,0.24826093,0.2405593,0.23341085,0.22731346,0.22188324,0.21552388,0.2086544,0.20282821,0.20131801,0.20489526,0.21240018,0.2203997,0.22704296,0.23247762,0.23887599,0.24765222,0.2583563,0.26919022,0.27881065,0.28773853,0.2976396,0.3102689,0.32619333,0.3451227,0.36646333,0.39006552,0.4160165,0.44385234,0.4719957,0.49789158,0.51939493,0.53514576,0.5446634,0.5468808,0.5405645,0.5247033,0.50000876,0.46835366,0.4319729,0.391986,0.3485358,0.301401,0.25136933,0.20065345,0.15294506,0.1124059,0.08240405,0.064120874,0.056031913,0.054681737,0.056251954,0.058011383,0.058749344,0.05835302,0.057146456,0.055423398,0.053387944,0.05109829,0.04854886,0.045673206,0.042532723,0.039370637,0.036583763,0.03445718,0.033034284,0.032152954,0.031735156,0.031836316,0.032492872,0.03340343,0.034011472,0.033801187,0.032713454,0.031131042,0.029723497,0.029085508,0.029630741,0.03156433,0.035008,0.040057037,0.0466277,0.054408595,0.06286314,0.07155552,0.080282986,0.089063905,0.09791422,0.10664221,0.1149022,0.12253203,0.12995654,0.13798608,0.14706397,0.15664181,0.16594869,0.174963,0.18469715,0.1955847,0.20626312,0.21428709,0.2183389,0.22034328,0.22389777,0.23084445,0.23808348,0.24001227,0.23469019,0.22685055,0.22343431,0.2257123,0.22820716,0.22529529,0.21663629,0.20656751,0.1974569,0.18909307,0.17942865,0.16995329,0.16405497,0.16587459,0.17612018,0.19230403,0.21022701,0.22623134,0.23791714,0.24425651,0.24559613,0.24394155,0.2408324,0.2368465,0.23171423,0.22758,0.2286505,0.23905897,0.25925875,0.28645515,0.3168985,0.34820053,0.37923,0.40923473,0.43727994,0.4628631,0.48665842,0.51057476,0.5364477,0.5644789,0.5932681,0.6209981,0.64690447,0.6705889,0.69145966,0.70766777,0.7176065,0.7204625,0.7175014,0.7103295,0.69955105,0.6837955,0.66125965,0.6314489,0.5950014,0.5523349,0.50294733,0.44669035,0.3854274,0.3226833,0.26232767,0.20699306,0.15863024,0.11887262,0.08922479,0.06982583,0.059238046,0.054921936,0.054519933,0.056203187,0.058636338,0.06077454,0.062171597,0.06294859,0.06356293,0.06405493,0.064148515,0.06329699,0.061486747,0.059040684,0.05675224,0.055207223,0.054764092,0.05529711,0.056396153,0.057532195,0.058270212,0.058583986,0.058616932,0.058553796,0.058138337,0.057131145,0.05548234,0.053715285,0.052329868,0.05160275,0.051325053,0.051253762,0.051218584,0.05139999,0.05233704,0.05500477,0.060449064,0.06919489,0.08088347,0.094590314,0.109615795,0.12588127,0.14350063,0.16189314,0.17940639,0.19386274,0.20359129,0.20827866,0.20879102,0.20666814,0.2028458,0.19770978,0.19108476,0.18371339,0.17693748,0.1725334,0.17111552,0.17252697,0.17609708,0.18185325,0.18994951,0.2004614,0.21273036,0.22600923,0.23980434,0.25441197,0.27074337,0.2898482,0.3123075,0.33770266,0.36493766,0.39222756,0.4179997,0.44100904,0.46120664,0.47893193,0.49410596,0.5057061,0.51268345,0.5160123,0.5185389,0.5235552,0.53042746,0.53388613,0.5249949,0.49822208,0.4536927,0.39841187,0.33974472,0.28367558,0.23293628,0.18941118,0.15436856,0.12803711,0.11023816,0.09978813,0.096090116,0.09779132,0.104043275,0.11369472,0.12659085,0.14265591,0.1618081,0.18225996,0.20071562,0.21303606,0.21671642,0.21200359,0.20181346,0.1900651,0.18005534,0.17377806,0.17179328,0.17374657,0.17835945,0.18413125,0.18977617,0.19529249,0.20154093,0.20980568,0.22067107,0.23432684,0.2505045,0.268986,0.2885683,0.30795133,0.3252782,0.34075662,0.35504198,0.37058285,0.38852486,0.4100949,0.4342071,0.4585214,0.47856012,0.49033692,0.49187937,0.48500946,0.47379312,0.46262312,0.45356953,0.44722077,0.4438485,0.44514143,0.4520088,0.46286857,0.47243974,0.47554585,0.46947575,0.4566833,0.44128492,0.42780885,0.41704273,0.40804315,0.39803377,0.38614735,0.37261832,0.35895643,0.34573328,0.33318081,0.32137787,0.31128153,0.30352852,0.2984024,0.2952341,0.29356575,0.29285333,0.29237762,0.2915794,0.28953576,0.2870262,0.28438592,0.28405064,0.2863761,0.29258323,0.30128726,0.31274468,0.3263881,0.3431224,0.36291125,0.38613167,0.41290024,0.44379723,0.47913513,0.5185662,0.56020945,0.60090536,0.63639313,0.6635573,0.68135375,0.69265634,0.70043254,0.7053078,0.7011955,0.6813199,0.64223474,0.5897474,0.53271323,0.4780936,0.4259529,0.3729112,0.31735167,0.26251435,0.21459706,0.17769708,0.15069889,0.12931423,0.109749325,0.09195337,0.077860855,0.069169976,0.06521436,0.06393315,0.06342331,0.06288009,0.06235608,0.061870266,0.061433017,0.060855687,0.060019627,0.058412056,0.055582162,0.05151246,0.04705472,0.043376744,0.041143525,0.040091887,0.039507028,0.038836475,0.038008943,0.037092034,0.03613844,0.03519253,0.034452215,0.034231197,0.034644276,0.03561771,0.03676256,0.03779315,0.03832068,0.03832089,0.03778511,0.037112314,0.03640518,0.0356466,0.03447741,0.032950044,0.0316115,0.031196386,0.031952243,0.03339285,0.0348998,0.03635129,0.038329396,0.04195885,0.048377786,0.058748502,0.073750354,0.09341657,0.11620915,0.1389308,0.15747888,0.16891783,0.1728633,0.17123799,0.16640659,0.16020386,0.15385242,0.1487119,0.14598177,0.14605765,0.14825231,0.15110415,0.15325056,0.15436964,0.15493189,0.1565863,0.15977506,0.1650955,0.1714658,0.17935956,0.18869358,0.20063038,0.21512933,0.23203953,0.25066003,0.27050218,0.29198655,0.3155522,0.34214595,0.37151608,0.4033223,0.43610466,0.4687074,0.49990106,0.529402,0.55751866,0.5846641,0.61093074,0.6355284,0.6578273,0.6771067,0.69331557,0.7060178,0.71443415,0.7167837,0.71037394,0.692334,0.66005284,0.6126099,0.5508948,0.4791689,0.40417776,0.33340153,0.27159616,0.21999629,0.17852192,0.1477832,0.12920266,0.12235334,0.124570966,0.13158858,0.13984488,0.1469046,0.15169865,0.15383452,0.15361165,0.15169948,0.14937915,0.1482268,0.14958708,0.15385324,0.15992206,0.16638218,0.17167075,0.17586012,0.17930265,0.18388493,0.19085698,0.20169522,0.21661063,0.23584886,0.25945184,0.28674158,0.31554568,0.34149587,0.36074147,0.37117335,0.37512007,0.3765587,0.38030538,0.38777032,0.39861467,0.41036904,0.42209378,0.4332515,0.44422972,0.45424604,0.46222666,0.46657228,0.46661544,0.46300468,0.45842528,0.45554218,0.45496535,0.4543577,0.45135143,0.445799,0.43968964,0.43441686,0.42968777,0.4247866,0.420283,0.41811624,0.41986492,0.42510393,0.431232,0.43470034,0.4331766,0.42636213,0.4153459,0.40101945,0.3829669,0.3603891,0.3328512,0.301621,0.26880303,0.23689188,0.20728292,0.18022288,0.15509908,0.13161911,0.11034304,0.09224534,0.07792751,0.067120835,0.059252053,0.05371503,0.05013709,0.047917176,0.04640727,0.04505934,0.043782506,0.04284903,0.04250467,0.042826813,0.043512944,0.04431572,0.044966776,0.04560235,0.046286765,0.047222752,0.04815614,0.048971575,0.04935251,0.04953584,0.049653724,0.05008009,0.05059333,0.050794333,0.049966678,0.04784907,0.044709355,0.041285753,0.038262326,0.035894904,0.034151714,0.03294805,0.032480363,0.033031534,0.03492511,0.03821877,0.04286452,0.048515175,0.054885607,0.061588842,0.06846123,0.07513822,0.08120626,0.08611891,0.08960537,0.09210515,0.09454114,0.09853398,0.105292,0.116174124,0.1314004,0.15078504,0.1728974,0.19685733,0.22253557,0.25082728,0.28197274,0.31489524,0.3480811,0.38088796,0.4141773,0.44887948,0.48542693,0.5232846,0.56163216,0.5986001,0.63136256,0.6568702,0.67421675,0.6850288,0.6921776,0.6967626,0.6979647,0.6941504,0.6851086,0.6717716,0.65555453,0.637633,0.6189274,0.5998817,0.5800411,0.5581359,0.53253126,0.5017737,0.46559063,0.42574677,0.386567,0.35322306,0.3300321,0.31819168,0.31618938,0.320053,0.32594714,0.33093897,0.3341173,0.3352187,0.3345183,0.33249554,0.33059573,0.3307905,0.3343809,0.34075248,0.3470916,0.35040072,0.34939384,0.34580314,0.34278193,0.34308538,0.34761134,0.3556113,0.36600897,0.37802723,0.39225802,0.40918946,0.42973867,0.45371124,0.4817644,0.5135643,0.54878145,0.5848608,0.61946875,0.6505379,0.6782677,0.7035646,0.7273089,0.7493703,0.76904774,0.7855733,0.79820687,0.80596584,0.80819744,0.8044397,0.7948075,0.77883476,0.75566477,0.72394484,0.68194485,0.62811863,0.56156504,0.484409,0.4016715,0.32060006,0.24739021,0.18591695,0.13754423,0.10198327,0.07793457,0.06305386,0.054838452,0.050924633,0.04977253,0.050086632,0.050933655,0.051587995,0.051890776,0.052034874,0.052204564,0.052240726,0.05155923,0.04971227,0.046950743,0.0446042,0.044448745,0.047855645,0.055289447,0.06670868,0.08202231,0.10092235,0.12249718,0.14488141,0.16597027,0.18371554,0.19715798,0.20626621,0.2125327,0.21807791,0.2250747,0.23455493,0.24597822,0.2582908,0.2701834,0.2815539,0.29185712,0.30113447,0.30872905,0.31495738,0.32034323,0.3255645,0.3305156,0.33344033,0.33217147,0.3247309,0.31140125,0.29425728,0.27677247,0.26214322,0.25208774,0.24616629,0.24244772,0.23875766,0.23407556,0.22799675,0.22070877,0.21246256,0.2041526,0.19678183,0.1910852,0.1882476,0.19035394,0.20013161,0.21772695,0.23945849,0.2586736,0.27082345,0.27608886,0.27980658,0.28791454,0.30394027,0.3267267,0.35243773,0.37666956,0.3969376,0.41291055,0.42594054,0.43755624,0.44895998,0.4599804,0.47004566,0.47799352,0.48360133,0.4866847,0.48755714,0.48590612,0.481702,0.47494915,0.4666332,0.4577686,0.44909313,0.43966803,0.4273597,0.40988478,0.386719,0.35990763,0.3330848,0.3098383,0.29196435,0.27938378,0.27065122,0.26415208,0.25878674,0.2541966,0.2506328,0.24847926,0.24798226,0.24855863,0.24868514,0.24606381,0.23907869,0.22796698,0.21492966,0.20232747,0.19065459,0.17859061,0.16489394,0.15075576,0.13891208,0.1317418,0.12864734,0.12746143,0.12587796,0.12428986,0.124765754,0.13007057,0.14057429,0.15408546,0.1668325,0.17640175,0.18293083,0.18864483,0.19624901,0.20812571,0.22514123,0.24658532,0.26959354,0.2914014,0.3098915,0.3247546,0.33610454,0.34439883,0.34958312,0.3511548,0.34778532,0.33865103,0.3241829,0.30725506,0.29134062,0.27928543,0.27138004,0.26636449,0.2624935,0.25878784,0.25459772,0.24914773,0.24129254,0.23063819,0.21769665,0.2047106,0.19442697,0.18958008,0.19115555,0.19818728,0.20881544,0.22094603,0.23352952,0.24552767,0.25697565,0.26825973,0.28021362,0.2928593,0.30518106,0.31614086,0.32546493,0.3342955,0.34409115,0.35629913,0.37128818,0.38904762,0.4084117,0.428563,0.44766197,0.46432436,0.4761223,0.48203173,0.48229825,0.4800483,0.47940898,0.4832225,0.49067307,0.49739218,0.49902484,0.4940338,0.48510805,0.4766297,0.4733918,0.47829637,0.4922987,0.5126798,0.53484124,0.5538636,0.5674677,0.5754545,0.57846594,0.5764058,0.5690208,0.5570536,0.5432365,0.53123564,0.5242235,0.52254397,0.524385,0.52652854,0.5273704,0.52600765,0.5214003,0.509499,0.4850293,0.44492134,0.3919673,0.3345658,0.28163695,0.23910163,0.20737521,0.1844136,0.16686751,0.15264124,0.14038993,0.12993471,0.12086576,0.11261552,0.10428485,0.09604942,0.08846014,0.082394585,0.07789785,0.075375386,0.07528318,0.07800018,0.08240975,0.086458586,0.08834212,0.087919176,0.08665639,0.08673035,0.09053468,0.10042835,0.119116455,0.14897667,0.19148201,0.24483208,0.30249217,0.35341355,0.387805,0.4032178,0.40658057,0.4078629,0.41339853,0.42335394,0.43547654,0.44739482,0.45741534,0.46350738,0.46495798,0.4625739,0.4587758,0.4552075,0.45272112,0.45094416,0.44981074,0.44968805,0.45134458,0.45463148,0.45716968,0.45566154,0.4474165,0.4331071,0.41554335,0.39872393,0.38511357,0.37469187,0.36518475,0.35288373,0.33650672,0.31713226,0.29994366,0.28930157,0.28887644,0.2983702,0.31629527,0.33939084,0.36519727,0.39208755,0.41981673,0.44845903,0.47702113,0.5040855,0.52888983,0.55326957,0.5803476,0.61224467,0.64824295,0.6852389,0.7200568,0.74982375,0.7719186,0.78337437,0.7825284,0.77046055,0.7505607,0.7268024,0.70154834,0.67533153,0.64632344,0.61118144,0.5663113,0.510997,0.4486988,0.38592842,0.32828596,0.2781461,0.23473114,0.19686715,0.1643213,0.13789023,0.11788789,0.10394802,0.09516692,0.090728424,0.089688964,0.09081831,0.09275564,0.094424434,0.09536296,0.09543046,0.094525374,0.09236262,0.08877629,0.08401514,0.07896633,0.074917324,0.07315592,0.07473119,0.08077217,0.09295533,0.112973,0.14090252,0.17423947,0.2093674,0.24464412,0.28077328,0.3182846,0.35493016,0.38820508,0.41896248,0.45130667,0.4858733,0.51538837,0.5266858,0.5103445,0.46650434,0.4056708,0.34162632,0.28630352,0.24551554,0.2203089,0.20777375,0.20397961,0.20493488,0.2092186,0.21708333,0.22999638,0.24748771,0.2683766,0.29060152,0.31318918,0.33444002,0.35238814,0.36470148,0.37089112,0.37295794,0.37466833,0.3794092,0.3877037,0.39724532,0.4037787,0.40459326,0.3999584,0.39397717,0.39151132,0.39581266,0.40728256,0.42518735,0.44978786,0.48181966,0.5213182,0.56392884,0.602449,0.6278138,0.636669,0.63128203,0.6192827,0.6046188,0.586515,0.56060356,0.5258729,0.4856074,0.44443014,0.40452337,0.36543855,0.32734084,0.29244405,0.2640752,0.24454153,0.23434936,0.23257546,0.2369091,0.24398617,0.25052404,0.2549639,0.2579678,0.261367,0.26637962,0.2726858,0.27871084,0.2832079,0.2871518,0.29340446,0.3049109,0.32071137,0.33612943,0.34465444,0.34307244,0.33275208,0.31826225,0.30404875,0.29197502,0.28231502,0.27427396,0.2677202,0.26202357,0.25650835,0.2502161,0.2429084,0.23498596,0.22694354,0.21918868,0.21163903,0.2040307,0.19514821,0.18348326,0.16793942,0.14978452,0.13276412,0.12140689,0.117851876,0.12003034,0.123398125,0.12425214,0.122252226,0.119567834,0.11856228,0.120341636,0.124689035,0.13118225,0.13948286,0.14991218,0.16342719,0.18101345,0.20246053,0.22549088,0.24743456,0.26727578,0.28632188,0.30636868,0.3272682,0.34738913,0.3642373,0.37678218,0.38462582,0.38910365,0.39148197,0.39336646,0.39500138,0.39642844,0.39731398,0.39785895,0.398137,0.39835808,0.39897266,0.40117252,0.4063277,0.41527832,0.42732546,0.44061625,0.4522519,0.459648,0.461049,0.45699254,0.44917396,0.43915954,0.42640105,0.4096214,0.38830617,0.36379158,0.3373517,0.30895796,0.27744567,0.24261832,0.20663343,0.17326798,0.14611343,0.12669618,0.114577405,0.10803854,0.10528926,0.10484025,0.10573655,0.10744954,0.109830506,0.11278069,0.11623297,0.11982954,0.123164676,0.12542343,0.12597357,0.124263056,0.12071668,0.116169035,0.11220644,0.11003534,0.11108962,0.11611584,0.126047,0.14078192,0.15962812,0.1801246,0.19919564,0.21416797,0.22473635,0.23298825,0.24131107,0.24993409,0.25641665,0.25860274,0.258032,0.2597611,0.26785758,0.28024182,0.28899202,0.2861869,0.2702897,0.24745296,0.22683461,0.2151789,0.21396123,0.22105926,0.23328336,0.24868624,0.26655072,0.28675425,0.30857265,0.3306364,0.3520809,0.37299642,0.39400712,0.41412112,0.43231896,0.4491283,0.46819293,0.49211589,0.5200744,0.5480332,0.5730324,0.5943362,0.61148137,0.62145835,0.6193251,0.60092664,0.5656247,0.51664585,0.45964196,0.4001163,0.34146795,0.28546408,0.23390639,0.18987791,0.1560207,0.1325114,0.11699084,0.10678192,0.10117781,0.10076038,0.105956554,0.11540488,0.1269838,0.1389103,0.15107562,0.16473855,0.18148993,0.20178746,0.22443783,0.24767564,0.27092484,0.29453886,0.3182098,0.3383398,0.3500061,0.34914696,0.33635554,0.3152225,0.2907388,0.26604274,0.24220026,0.2188198,0.19556461,0.17335653,0.15409745,0.1398163,0.13138764,0.12811732,0.12825787,0.12962835,0.13056701,0.1299895,0.12764858,0.123527765,0.11787021,0.11109203,0.10432129,0.09907487,0.09657112,0.09686462,0.09892204,0.10137305,0.10291644,0.10275287,0.10046154,0.09672481,0.09273388,0.09004858,0.089854725,0.09411774,0.105938464,0.128895,0.16335846,0.20441878,0.24238636,0.2689794,0.28135058,0.28419873,0.2845129,0.287415,0.292105,0.29444805,0.29124638,0.2851105,0.2833685,0.2925088,0.311877,0.33383894,0.34944046,0.35506836,0.35351625,0.35059705,0.3514457,0.35872832,0.37336114,0.394071,0.4185137,0.44368878,0.4680233,0.4915669,0.51535213,0.54005295,0.5654917,0.5912979,0.6173434,0.6431089,0.66792226,0.6909418,0.7127983,0.7338123,0.75457335,0.7751425,0.7976342,0.82231385,0.8455572,0.8570487,0.84774685,0.8147907,0.7648513,0.70755094,0.6507089,0.59696656,0.54463625,0.49040782,0.43303117,0.37594387,0.3252436,0.2848053,0.25380918,0.22911316,0.20954065,0.19661081,0.19188084,0.19422646,0.19995324,0.20470817,0.20607431,0.20434354,0.20245898,0.20334513,0.20782238,0.2135223,0.216868,0.21604432,0.2122315,0.20833926,0.20635694,0.20636635,0.20744097,0.20881678,0.20975687,0.2086441,0.20320559,0.19246672,0.17844714,0.16594864,0.16020423,0.16462125,0.17979355,0.20395398,0.2338842,0.26632062,0.29945433,0.33317873,0.36690232,0.39579478,0.41114023,0.4048445,0.37650296,0.33341005,0.2863594,0.24300307,0.20708184,0.1796356,0.16095781,0.15020557,0.1450739,0.14268376,0.14114644,0.1407829,0.142982,0.14865726,0.15650691,0.1642081,0.16942929,0.1714359,0.17029138,0.1666227,0.16100325,0.1540428,0.14623417,0.13769327,0.12846975,0.11895614,0.11028299,0.10405755,0.101410426,0.10254399,0.10660968,0.11256245,0.11949251,0.12663256,0.13319874,0.13836472,0.14210999,0.14610505,0.15423949,0.17114653,0.19796042,0.23061003,0.26139334,0.28649864,0.3080146,0.33202192,0.36144456,0.39454988,0.42702118,0.45591977,0.4810647,0.5038157,0.52624017,0.54971313,0.5751279,0.60164285,0.6275186,0.65000886,0.66720074,0.6777784,0.68159384,0.67883044,0.6706877,0.6589706,0.64644766,0.6357965,0.62926,0.62701917,0.62678766,0.6241731,0.615509,0.5999026,0.5792473,0.555269,0.52766097,0.49477413,0.45643213,0.41508928,0.3743309,0.33688995,0.30380857,0.27558544,0.2525032,0.23488502,0.2224399,0.21441235,0.20975368,0.2077107,0.20868643,0.21388231,0.22465177,0.24088413,0.26149273,0.28499487,0.31092787,0.33970496,0.37215102,0.4084382,0.44714466,0.48518813,0.517961,0.54042363,0.5479296,0.5377431,0.5104043,0.47003236,0.4236844,0.3783511,0.33870348,0.30473173,0.2739502,0.24413234,0.217066,0.19670625,0.18662377,0.18631952,0.19261432,0.20116334,0.20992184,0.21914233,0.2319331,0.25020036,0.27321458,0.29557106,0.31161213,0.31869617,0.31863964,0.31610766,0.31363797,0.31290647,0.3121923,0.31213248,0.3120418,0.31389597,0.31652912,0.3198184,0.32150874,0.322386,0.32226384,0.32239375,0.3211857,0.31817296,0.31173027,0.30298933,0.29238364,0.28262603,0.27482328,0.2716377,0.27224752,0.27601245,0.277926,0.27581283,0.26666322,0.25312927,0.23669803,0.22157668,0.20837045,0.19820799,0.1892551,0.18103553,0.1729269,0.16703433,0.16510959,0.16816616,0.17342556,0.1768242,0.17453764,0.1659321,0.15274368,0.13791399,0.124486804,0.11470989,0.11045355,0.11257153,0.12209198,0.13910495,0.16221924,0.18734162,0.20967455,0.22670467,0.23919606,0.24930103,0.2569947,0.2602205,0.25682512,0.24744077,0.2355199,0.2262664,0.2255135,0.2374218,0.26259315,0.29534462,0.32752717,0.35238823,0.37034926,0.3857411,0.40401328,0.42670962,0.4531245,0.48122254,0.51011,0.54017866,0.5724309,0.6063661,0.6383328,0.6627758,0.67664057,0.6816024,0.68284297,0.6827758,0.67913765,0.66690665,0.6450909,0.61896133,0.596804,0.5827899,0.5734291,0.5600442,0.5357077,0.50025403,0.4612839,0.4293189,0.4111358,0.40519717,0.40287006,0.39566496,0.3808103,0.3628086,0.34798792,0.33984897,0.33641163,0.33308765,0.3265173,0.31767592,0.31065893,0.3095838,0.31570807,0.32728645,0.34142756,0.3554757,0.36884058,0.38199484,0.3969029,0.4136196,0.4310198,0.4452107,0.45378435,0.45599282,0.45528713,0.4557744,0.460825,0.47031614,0.48247436,0.49567214,0.5106717,0.530209,0.5575712,0.59365076,0.63554096,0.6768517,0.71137005,0.7351627,0.7460594,0.74093825,0.71582407,0.6697788,0.6071436,0.5368969,0.46761402,0.4064473,0.3584061,0.32723323,0.31377193,0.31464872,0.32456183,0.33727273,0.34913623,0.35770965,0.36408076,0.37139395,0.38391128,0.40237913,0.42156684,0.4321722,0.42641422,0.40339005,0.3693755,0.33362305,0.3035425,0.28187487,0.2683551,0.2614229,0.26007888,0.26282516,0.26761934,0.27381194,0.28591982,0.3155755,0.37637022,0.47265887,0.5901091,0.6964955,0.75707203,0.75220156,0.6899862,0.60223997,0.5299007,0.5006683,0.5148044,0.5482318,0.5732867,0.58031946,0.58073145,0.5920021,0.6198237,0.6561804,0.689281,0.71382815,0.7303571,0.7400375,0.7421523,0.73662287,0.72555184,0.71173906,0.6957559,0.67721564,0.656207,0.63532144,0.6168978,0.6025889,0.59292436,0.5890469,0.5918388,0.60021466,0.6104644,0.61811346,0.6201529,0.61602765,0.60605025,0.59100795,0.5710719,0.5469012,0.5190581,0.48893392,0.4585549,0.4302846,0.4064052,0.38775834,0.37508082,0.3685968,0.37199724,0.39278176,0.44197544,0.5225348,0.61951214,0.69879085,0.72602767,0.68875283,0.6050544,0.51072615,0.43789744,0.40236616,0.4029045,0.42985383,0.47246826,0.5237551,0.5791767,0.6341695,0.682679,0.72013426,0.746495,0.7663395,0.78498155,0.8050935,0.82657427,0.84782654,0.86689234,0.88074654,0.8856705,0.87905216,0.8606197,0.8335405,0.80014175,0.76041245,0.7099874,0.6463317,0.57193094,0.4952316,0.42504022,0.36656654,0.3214673,0.29045847,0.27523506,0.27598602,0.28950456,0.30782244,0.32317743,0.3306507,0.3303858,0.32418254,0.31412742,0.30170378,0.28838065,0.27636406,0.26884124,0.2699419,0.282774,0.3060234,0.3339348,0.35817376,0.37454805,0.38357744,0.39041832,0.39954627,0.4143962,0.43579146,0.4625645,0.49092302,0.51682216,0.5382939,0.55751914,0.5784241,0.6034338,0.6293698,0.64933544,0.65647966,0.6494222,0.63104695,0.6061632,0.5769699,0.54426765,0.5075427,0.46774438,0.4259814,0.38384724,0.34221902,0.30189013,0.2637675,0.22879331,0.19829158,0.17367858,0.15640064,0.14645036,0.14188844,0.13991429,0.13901027,0.14068218,0.1472152,0.15918474,0.17247541,0.18138926,0.18158914,0.17406064,0.1629972,0.15334459,0.1470063,0.14314632,0.13964935,0.13573624,0.13217907,0.13023613,0.12997039,0.13038222,0.1302442,0.12949269,0.12909774,0.1310766,0.13741572,0.1492849,0.16515706,0.18146257,0.19482064,0.2061984,0.22014676,0.24179153,0.2712367,0.30439124,0.33553234,0.36265504,0.386742,0.41031334,0.43398497,0.45806086,0.48294044,0.51036257,0.54068094,0.5731133,0.60568565,0.6374309,0.6674519,0.6938649,0.7133754,0.7229056,0.72225815,0.7140222,0.7021313,0.6889842,0.67467827,0.6577602,0.6366187,0.6107246,0.5806059,0.5483261,0.5164638,0.48752066,0.46185192,0.43838057,0.41518652,0.39228904,0.37109423,0.35375634,0.34049702,0.33037984,0.32275602,0.3198272,0.32437292,0.33683404,0.35218516,0.36392066,0.36821666,0.36706266,0.36528423,0.3666425,0.37266874,0.38238668,0.3949468,0.4091494,0.42553377,0.44503555,0.46893236,0.49733582,0.5287257,0.5600442,0.58709526,0.6062994,0.6160386,0.6165014,0.6086245,0.592483,0.56805474,0.5356058,0.4962645,0.451756,0.4033884,0.3530688,0.30250785,0.2554455,0.21524125,0.1849689,0.16427137,0.15121627,0.14325605,0.13949686,0.140131,0.14562164,0.15655279,0.17299385,0.19388612,0.21503927,0.23130916,0.23914611,0.24030483,0.23957431,0.2410651,0.24439083,0.2455433,0.24148668,0.23337428,0.22696449,0.22813477,0.23877168,0.25528863,0.27076802,0.28077507,0.28602645,0.29260793,0.30629885,0.3274442,0.35025004,0.36630693,0.37297472,0.3741952,0.3792641,0.39468956,0.42288205,0.46127477,0.5054784,0.5494854,0.588001,0.61748534,0.6385945,0.6541481,0.6681471,0.6816451,0.69380903,0.70175505,0.7049895,0.7041738,0.70159227,0.69782495,0.6942237,0.69165224,0.6911144,0.691454,0.69164735,0.69270796,0.69723505,0.70593387,0.7138832,0.7118022,0.6910743,0.6484118,0.5889849,0.5220649,0.45837775,0.40360156,0.3602111,0.32739672,0.30467463,0.29051277,0.28184003,0.27562138,0.2715733,0.2747347,0.28916594,0.31354126,0.33719006,0.3501188,0.3491315,0.34190753,0.33752394,0.34013978,0.34687075,0.35306254,0.35765663,0.36364487,0.37642005,0.39908066,0.43029988,0.4634931,0.49005914,0.5046479,0.50854236,0.5091459,0.51411015,0.52580255,0.53923804,0.54673535,0.54384595,0.5329554,0.5186469,0.50468093,0.4909399,0.47899368,0.47110593,0.47147718,0.48069406,0.4970912,0.516036,0.5346183,0.5525069,0.5724079,0.5954096,0.61916494,0.6383136,0.6486767,0.64967877,0.6437883,0.63530844,0.62589055,0.6160287,0.6040628,0.5919756,0.5815847,0.57462406,0.569124,0.56398946,0.55924016,0.5557618,0.5519488,0.5450924,0.5337654,0.52021354,0.50835085,0.5017544,0.5015672,0.5079291,0.51984596,0.53632885,0.5553581,0.57607895,0.5991714,0.62483907,0.6489847,0.66100234,0.65120625,0.6169362,0.5671153,0.5144371,0.46843424,0.4305221,0.39671353,0.3630514,0.3291648,0.29967603,0.28031322,0.27359912,0.27579054,0.27902266,0.27704766,0.26819962,0.2555059,0.24264143,0.23238827,0.2257272,0.22335255,0.22604923,0.23390025,0.24475177,0.25340393,0.2543393,0.24431546,0.22550495,0.20401816,0.18794154,0.18226154,0.18653153,0.19471441,0.19915543,0.19529386,0.18501346,0.17641574,0.18041629,0.20208777,0.23647666,0.26821375,0.2844149,0.28095362,0.26550156,0.24688397,0.23068011,0.21679878,0.20415734,0.19223642,0.18215497,0.17563291,0.17458858,0.17932026,0.18819046,0.19773866,0.20612745,0.21379445,0.22311819,0.23478413,0.24778986,0.2604634,0.27259454,0.28509107,0.2981862,0.3104396,0.3179092,0.31756946,0.30914488,0.29756603,0.28745845,0.28032076,0.27204934,0.2595525,0.24377422,0.23150529,0.22925965,0.23980534,0.2597185,0.28282264,0.3016994,0.31079832,0.30682775,0.2926369,0.2756193,0.2656338,0.26830456,0.2820202,0.29844683,0.30601418,0.298652,0.27820668,0.2568248,0.24573039,0.24988396,0.26078677,0.265708,0.2554052,0.23351908,0.2118954,0.20238258,0.20747752,0.21991229,0.2285239,0.22700296,0.21755481,0.2089868,0.2083996,0.21675567,0.22720365,0.23213546,0.22726233,0.21522623,0.20175783,0.19244969,0.18929075,0.19067276,0.19406144,0.20048563,0.21859996,0.26313415,0.3438531,0.4543182,0.56825846,0.6558888,0.70003533,0.7048583,0.6843776,0.6514609,0.61167365,0.5667154,0.5179503,0.467415,0.4177674,0.37128413,0.3308641,0.30010477,0.28293177,0.2805611,0.28923333,0.3015927,0.31086385,0.31446615,0.31313148,0.30841312,0.30090716,0.29081908,0.27953884,0.26940203,0.26376268,0.26449695,0.27187958,0.282278,0.2902659,0.29039076,0.28096268,0.26473483,0.247169,0.2350157,0.23367007,0.2471221,0.27462587,0.31173816,0.35077694,0.38713184,0.42090073,0.45737633,0.5005887,0.55042666,0.6008654,0.6445101,0.6749788,0.68975085,0.688315,0.67225266,0.64429456,0.6100009,0.5767335,0.5514814,0.5374349,0.532705,0.53293186,0.533827,0.53342277,0.52958184,0.52103156,0.50697887,0.49089396,0.47669932,0.46810174,0.4645815,0.4654559,0.46928167,0.47511527,0.47959659,0.47825637,0.46729478,0.44586313,0.4170086,0.38638,0.36071643,0.34406814,0.33746532,0.33849272,0.3460504,0.359592,0.3811041,0.41007558,0.44510245,0.48062012,0.51092553,0.5311951,0.5430054,0.5535889,0.57138413,0.5990667,0.6315768,0.6612,0.68351763,0.69920254,0.71035975,0.71664864,0.71556616,0.70569915,0.6890635,0.6691766,0.6475374,0.6231695,0.5947502,0.56360793,0.5322244,0.50282526,0.4748869,0.4462364,0.41328815,0.3735217,0.32704487,0.27850237,0.23565419,0.20624386,0.19340038,0.19393182,0.19986026,0.20311975,0.20037347,0.19362742,0.18840599,0.18774967,0.19117148,0.19385175,0.19161391,0.1825165,0.1692447,0.15788418,0.15780443,0.1803612,0.23665346,0.32827774,0.44148573,0.54658455,0.61639667,0.63887995,0.6235239,0.5868977,0.5425543,0.4954883,0.44674227,0.39761463,0.3508849,0.31063458,0.27950668,0.25782362,0.24339567,0.23514877,0.23543103,0.2487454,0.27778473,0.32032052,0.3709856,0.42322078,0.4721087,0.51453614,0.55037147,0.5809153,0.60776,0.631222,0.6513586,0.66787004,0.6797065,0.68460816,0.6802631,0.6662484,0.643517,0.61469895,0.5827422,0.55236524,0.5279864,0.5132803,0.50767577,0.5068646,0.5038144,0.49414492,0.4782972,0.46142003,0.44743,0.4366095,0.4241482,0.40683556,0.38502216,0.3679154,0.36904278,0.4018868,0.46657452,0.5443025,0.6033302,0.6175703,0.58376783,0.51996994,0.45354497,0.40299928,0.3750751,0.36594057,0.37163153,0.38938615,0.4185798,0.45537683,0.49287954,0.523338,0.54280394,0.55245876,0.55562955,0.5540723,0.54644704,0.53036857,0.5052448,0.47378668,0.4422034,0.41858938,0.40935662,0.41557312,0.4314402,0.44920406,0.46349046,0.47443876,0.48379967,0.49278364,0.5003159,0.50585705,0.5106961,0.5184016,0.5310328,0.54670435,0.5587016,0.5604927,0.5496838,0.53120035,0.5136408,0.50445896,0.504164,0.50785655,0.5091393,0.5060299,0.4996486,0.49323818,0.48901772,0.48987535,0.49739233,0.511662,0.5290034,0.54428023,0.55256695,0.5530062,0.548256,0.54270333,0.5380847,0.5329456,0.52505994,0.5141284,0.5022394,0.4902244,0.4769142,0.45852426,0.43365145,0.40348256,0.37329093,0.34682235,0.32526383,0.30536136,0.28458735,0.2635289,0.24664779,0.23769991,0.23590887,0.23636341,0.23341644,0.22506537,0.21304162,0.20172477,0.19537479,0.19618726,0.20287348,0.21070318,0.21510498,0.21501397,0.21434607,0.21904862,0.23222542,0.252356,0.27300808,0.28823403,0.2946469,0.29427752,0.2910528,0.28782097,0.28430292,0.27813208,0.26912794,0.25920153,0.2519631,0.24839343,0.24757324,0.24731173,0.24732126,0.24942066,0.25742638,0.27482858,0.3027499,0.3372794,0.37034425,0.3932414,0.40401068,0.40864393,0.41715503,0.43244588,0.44827017,0.45352483,0.4445292,0.42702946,0.41209817,0.40605298,0.4082844,0.41279948,0.41338232,0.40574932,0.3899138,0.3695757,0.35035416,0.33580068,0.32616132,0.31976032,0.31485727,0.3102956,0.30427715,0.29510045,0.2814932,0.26407224,0.24520178,0.22886091,0.21922918,0.21837915,0.22596012,0.23900902,0.2546953,0.2700992,0.28420243,0.29608545,0.30524206,0.30978337,0.30944428,0.30651498,0.3064016,0.31194642,0.32241097,0.3340639,0.34671855,0.36188486,0.3813642,0.40190145,0.4207348,0.43632615,0.45238283,0.47114706,0.4942014,0.5196812,0.54695994,0.5763052,0.60983557,0.6500316,0.69609195,0.7437255,0.7842045,0.8113897,0.82262427,0.8195758,0.80354244,0.77550215,0.7370507,0.6905574,0.6377392,0.57975906,0.5191646,0.45976737,0.40460706,0.35492924,0.31408164,0.28816268,0.28395724,0.30165458,0.33391416,0.36855602,0.39586022,0.41268125,0.42156336,0.4256612,0.424848,0.41673914,0.40066877,0.37849727,0.3541483,0.33122507,0.31382433,0.30402008,0.30122885,0.30192557,0.3035036,0.3064942,0.3129371,0.32366475,0.33576608,0.34531868,0.34846795,0.34499237,0.33757222,0.33210948,0.3329306,0.3391702,0.3431987,0.3362007,0.31532454,0.28708783,0.26253137,0.2511134,0.25490043,0.27025577,0.28910804,0.30615926,0.31968477,0.33286083,0.34743142,0.36380467,0.3810432,0.40053156,0.42405948,0.45373055,0.4913495,0.5392198,0.595027,0.6491101,0.6870458,0.7006996,0.69396526,0.6788327,0.6658662,0.65846056,0.6548789,0.65142804,0.64545876,0.63671535,0.62743443,0.6207755,0.6164272,0.61053973,0.59928846,0.58426696,0.57184434,0.5662017,0.56428146,0.55621916,0.533952,0.49626455,0.45076716,0.4068364,0.371161,0.34315118,0.3194456,0.29741532,0.28036007,0.27390537,0.2815908,0.29964253,0.3189368,0.33041784,0.33117238,0.3271257,0.32838225,0.34221697,0.36534587,0.3884546,0.4026619,0.40912578,0.41407916,0.42464623,0.44121087,0.45948735,0.47164023,0.47071573,0.45452654,0.42837477,0.40280524,0.3863871,0.38001275,0.37769198,0.37194625,0.35877594,0.33835807,0.31360587,0.28829148,0.2650991,0.24480355,0.22662044,0.21030532,0.19673002,0.1871881,0.18207909,0.18056679,0.18121897,0.18240763,0.18412845,0.18775599,0.19613077,0.20832586,0.22001968,0.22353171,0.21689935,0.20313244,0.19002102,0.18138695,0.17755301,0.17496896,0.16991137,0.16011278,0.14723694,0.1380351,0.14049394,0.15689355,0.1796326,0.19478393,0.19374819,0.17990406,0.16707522,0.16770436,0.18518327,0.21357946,0.24488728,0.2750368,0.30432627,0.3337101,0.36072913,0.37979308,0.3856164,0.37789723,0.3614838,0.34461775,0.33325922,0.33067682,0.33465767,0.34205434,0.3486736,0.35426936,0.3593568,0.36445817,0.36748946,0.36696616,0.36415854,0.3627821,0.36570153,0.37253872,0.38039458,0.38618827,0.38857374,0.3880069,0.38541028,0.38138506,0.37606427,0.3707652,0.3672721,0.36733654,0.3705361,0.37646016,0.38643542,0.40460286,0.43264094,0.46569887,0.49246955,0.5045169,0.50280726,0.49800864,0.5010432,0.516342,0.5409064,0.5692642,0.5975835,0.62388796,0.64622116,0.660938,0.66282237,0.6473929,0.6130433,0.5635025,0.50637215,0.4504539,0.40163574,0.36147705,0.32917252,0.3035539,0.2855176,0.27515578,0.27071336,0.26607895,0.25540042,0.23618633,0.21295255,0.19315176,0.18354659,0.18659748,0.20201147,0.2274512,0.25910854,0.29160085,0.31959835,0.34061813,0.3560339,0.36991283,0.38564098,0.40331113,0.4201539,0.43266025,0.43953714,0.44144574,0.43919548,0.4326009,0.42091307,0.40648675,0.39415953,0.39037666,0.3979851,0.4155141,0.43677953,0.4540911,0.46144545,0.45807078,0.4490358,0.4420143,0.44142568,0.4462391,0.45239866,0.4587786,0.46804228,0.48363695,0.5049719,0.52803415,0.5466729,0.55482394,0.545795,0.5165856,0.4700122,0.41560438,0.36284658,0.31739742,0.2800785,0.2507824,0.23002087,0.21936913,0.2186724,0.22545564,0.23445255,0.24271357,0.25110853,0.2647991,0.28658092,0.31454715,0.34207463,0.3638169,0.37869632,0.38972116,0.3988924,0.404313,0.40054777,0.38401553,0.35585853,0.32258704,0.29163972,0.26860386,0.25488606,0.24857658,0.24571438,0.24263413,0.23885678,0.2379533,0.24616952,0.26652303,0.29564968,0.32444313,0.34587204,0.3596227,0.37147462,0.3864324,0.40520433,0.4255147,0.4454999,0.46455148,0.48212934,0.49766493,0.5116571,0.52514005,0.5380867,0.54777837,0.55184776,0.5512971,0.55263203,0.5626125,0.58305866,0.6055869,0.6175181,0.6075868,0.5762672,0.5316385,0.48636135,0.44609717,0.4113557,0.37889305,0.34927687,0.32563415,0.31037292,0.30092335,0.29079458,0.27467027,0.25318682,0.23276587,0.22087212,0.22031385,0.22841144,0.23995197,0.25098738,0.26029134,0.26868525,0.2780163,0.2895286,0.30135074,0.30922198,0.308351,0.29962778,0.2874901,0.27787507,0.2715648,0.26659492,0.2599912,0.25195965,0.24493344,0.24329454,0.25024626,0.26721552,0.29033223,0.3133346,0.3286512,0.3349705,0.33549428,0.3370295,0.34234917,0.35098255,0.35993174,0.36835408,0.37745166,0.3899745,0.4077141,0.43031356,0.45520592,0.47905502,0.4996142,0.51638836,0.52955705,0.5393138,0.54517883,0.54806584,0.54973644,0.55275327,0.5574369,0.56167954,0.5622287,0.5570348,0.5474527,0.5365816,0.5286357,0.52563304,0.5278933,0.5331424,0.5385794,0.541166,0.5390045,0.5314435,0.5196087,0.5057686,0.49183083,0.47752097,0.4601635,0.43756223,0.41131687,0.38813594,0.37569928,0.37739325,0.38857484,0.4003209,0.4050577,0.4026995,0.398476,0.39968088,0.40840235,0.42252383,0.4363471,0.4475797,0.45711198,0.46905127,0.48626566,0.5085147,0.53294486,0.55524766,0.5750663,0.5952622,0.6219464,0.65662986,0.6960041,0.73188305,0.7584823,0.77448076,0.7834635,0.7888511,0.7891806,0.77804327,0.74778485,0.6981215,0.6352628,0.569557,0.5061012,0.44629338,0.38870665,0.3341291,0.28461102,0.24356651,0.21492259,0.20201655,0.20454176,0.21691374,0.22953938,0.23549984,0.23370586,0.22943838,0.22689132,0.22649974,0.22390175,0.21625249,0.20390706,0.19171984,0.18521929,0.1887349,0.20161794,0.2180352,0.2292031,0.23041616,0.22427996,0.21936399,0.22135459,0.22895308,0.23389506,0.23048878,0.22070462,0.21494679,0.22338562,0.24902129,0.28552034,0.3220595,0.34996676,0.36615574,0.37269297,0.374548,0.3772045,0.3862848,0.4048132,0.43327305,0.46742788,0.5017572,0.5303874,0.5503795,0.56114024,0.5650556,0.5670014,0.5721792,0.5819263,0.5905947,0.5894112,0.57307607,0.54437184,0.5103068,0.4775608,0.44863668,0.42361966,0.4010913,0.3803908,0.3621094,0.34734383,0.3361437,0.32647762,0.31675947,0.306842,0.29801533,0.29070762,0.2864097,0.2889391,0.30469045,0.33400667,0.3686428,0.39225674,0.39529625,0.37896642,0.35638097,0.33946443,0.3340911,0.33787438,0.34556118,0.35420644,0.3650069,0.38259348,0.4102695,0.44675824,0.48586622,0.5191145,0.54093724,0.54945046,0.54625857,0.5327222,0.51029783,0.4807973,0.44757822,0.41375628,0.380705,0.3477352,0.31380764,0.27966532,0.2484077,0.22430466,0.21033323,0.20618737,0.2088568,0.21365874,0.21784149,0.2204029,0.22381361,0.22960727,0.2392323,0.2507652,0.26283714,0.27277434,0.28007248,0.2852738,0.29122424,0.30058682,0.31239477,0.3232619,0.32798707,0.3267938,0.32251012,0.32108864,0.32422277,0.33147904,0.34034505,0.3506197,0.36323836,0.37954676,0.39935604,0.42219254,0.44675556,0.47197664,0.49567214,0.51680946,0.53585607,0.55534357,0.57779896,0.60127825,0.6192282,0.6208158,0.60014313,0.5573942,0.50073725,0.43770888,0.37449694,0.31385028,0.25980672,0.2163763,0.18745126,0.17326146,0.17088944,0.17462683,0.17853214,0.17833285,0.17291011,0.16442098,0.15637076,0.15091734,0.14730853,0.1426555,0.13521138,0.1266643,0.12182566,0.12605621,0.14055271,0.16212116,0.18285729,0.19705977,0.20179439,0.19972108,0.19335242,0.18494006,0.17420946,0.16160057,0.14881466,0.14186293,0.15155946,0.19322176,0.2757213,0.39165762,0.5120265,0.60387254,0.6476829,0.6484818,0.6228571,0.58620983,0.54486406,0.5007264,0.455837,0.41404068,0.38017145,0.35714087,0.3451078,0.34069672,0.34074172,0.3443984,0.35372528,0.37046242,0.39339244,0.41901922,0.4435924,0.46594247,0.4865519,0.5062683,0.5237696,0.53607553,0.54019314,0.5358441,0.52589524,0.51486605,0.5061709,0.50085074,0.49757698,0.4937005,0.48627818,0.47360286,0.4565518,0.43887734,0.42486,0.41639185,0.41062924,0.40211082,0.38671556,0.36561596,0.3445256,0.32788944,0.31498173,0.29969928,0.27854013,0.2549174,0.24159455,0.25493366,0.30636904,0.39130607,0.485629,0.55740213,0.5863703,0.57435757,0.53767806,0.49074852,0.44088313,0.39106676,0.34911314,0.32364908,0.32021102,0.33250424,0.34755424,0.35122553,0.33873567,0.31364283,0.28472775,0.25785333,0.23505019,0.2152059,0.19826837,0.18638885,0.18359075,0.19359808,0.21809304,0.25443113,0.29621068,0.3336266,0.360075,0.3733022,0.37804377,0.37916443,0.37981296,0.37878695,0.3750355,0.3706713,0.3695648,0.3732617,0.37726554,0.37700343,0.37276164,0.37059394,0.3757285,0.38752666,0.4027427,0.4178736,0.43227968,0.44383422,0.45172453,0.45748857,0.46717831,0.48567924,0.51169497,0.53765255,0.5560968,0.56601626,0.5737381,0.58802885,0.6151235,0.65509677,0.7029218,0.7518619,0.797328,0.83730024,0.8674479,0.88011885,0.8695876,0.8395397,0.80287737,0.76882297,0.73680806,0.69604045,0.63956434,0.56764984,0.48890647,0.41259345,0.34648907,0.2951434,0.2601761,0.2396756,0.2292084,0.22399676,0.22182094,0.22253047,0.22601135,0.22987044,0.23048966,0.22566606,0.21624295,0.20572181,0.1978492,0.19509387,0.198444,0.20799123,0.22351547,0.24316041,0.263922,0.28173307,0.2937999,0.29885802,0.2962657,0.2854894,0.26562858,0.23975779,0.21366109,0.19538505,0.18779802,0.18840419,0.18966235,0.18518974,0.1733798,0.15879239,0.14915824,0.14933132,0.15703975,0.16396503,0.16195369,0.15057565,0.13694447,0.13141143,0.1383333,0.15503937,0.17299213,0.18550807,0.18997242,0.18899417,0.18666959,0.1861068,0.18820143,0.19148038,0.19419579,0.19480652,0.19394164,0.19332361,0.19477516,0.19790556,0.19948061,0.1960674,0.18673843,0.17539664,0.16722812,0.16542639,0.16793764,0.17037193,0.1698481,0.168495,0.17205155,0.18548834,0.20850988,0.2341876,0.25200918,0.2535422,0.23778473,0.21242392,0.18984799,0.17911302,0.18081306,0.18713242,0.19006689,0.1871084,0.18407333,0.18671991,0.19603483,0.20451868,0.20535879,0.1967323,0.18474786,0.1760134,0.17268448,0.17149334,0.1672921,0.1591804,0.1502158,0.14619085,0.14989994,0.16044737,0.17380969,0.18646848,0.19802062,0.21099208,0.22823238,0.24924129,0.2695098,0.28276706,0.2843319,0.2739443,0.2559391,0.23808666,0.22702314,0.22525436,0.22947562,0.23443206,0.23630077,0.23537244,0.23418427,0.23460256,0.2357046,0.23396198,0.22673737,0.21459012,0.20230375,0.1955539,0.19663672,0.20245188,0.20540226,0.19995339,0.18584949,0.17010945,0.1604198,0.16036731,0.16647047,0.17250013,0.17453717,0.17292702,0.17041762,0.16914599,0.16942227,0.16955607,0.16655739,0.15852743,0.14709298,0.13788931,0.13599104,0.14119248,0.14684312,0.14586838,0.13724878,0.12711303,0.12329888,0.1277432,0.13604532,0.1404595,0.13758214,0.12875699,0.119440615,0.11351448,0.11231933,0.11422789,0.11705929,0.11953166,0.1222828,0.12821531,0.14072905,0.16125256,0.18624736,0.20849983,0.22118615,0.2228686,0.21763098,0.2108479,0.20472331,0.19738537,0.18645443,0.17211266,0.15785044,0.14780998,0.14377517,0.14411576,0.14488705,0.14287402,0.13711071,0.12922406,0.121387236,0.115019746,0.109810114,0.10465085,0.09878401,0.094221145,0.09600102,0.11119274,0.14162457,0.1810648,0.21444975,0.23037629,0.22653006,0.21278672,0.19979173,0.192957,0.18953557,0.18432152,0.17554812,0.1660298,0.16129807,0.16322185,0.16897178,0.17164348,0.16662228,0.15418881,0.13966757,0.12872994,0.123928,0.124144375,0.12640075,0.12860511,0.12992172,0.13086818,0.13168152,0.13164397,0.1291659,0.123169124,0.11494466,0.10738918,0.10340042,0.10342792,0.105892956,0.10828108,0.10900656,0.10790158,0.10638496,0.106752,0.11147225,0.12197524,0.13782735,0.15650403,0.17423789,0.18739314,0.19344187,0.1912166,0.18074799,0.16350096,0.14307225,0.12472418,0.11319124,0.109858,0.1118722,0.114327766,0.1128385,0.10624287,0.096572556,0.0886182,0.08665212,0.091188245,0.09780687,0.09950889,0.0929631,0.08049352,0.06913732,0.06417513,0.06671851,0.073593974,0.081297494,0.08824078,0.095030576,0.102384694,0.109181084,0.112682365,0.11049029,0.10265682,0.09175783,0.08142357,0.07481774,0.073176555,0.07585355,0.079877496,0.08239185,0.08169802,0.07910799,0.07688067,0.07631131,0.076170914,0.07378278,0.06815105,0.06116173,0.057172105,0.059770714,0.069258645,0.08260304,0.09472033,0.10257611,0.10535446,0.10511637,0.10328702,0.10059428,0.096343584,0.0902754,0.08346241,0.07857727,0.07889471,0.085414946,0.09562691,0.10344193,0.10363335,0.09493797,0.08208587,0.071911536,0.06907381,0.0725292,0.077616416,0.08046005,0.08128405,0.08307305,0.08807111,0.09545743,0.10231871,0.10533706,0.10343081,0.09832675,0.09430152,0.09452787,0.098959655,0.10439391,0.10764411,0.10780811,0.10604861,0.10395396,0.10207363,0.10008342,0.09759926,0.09512689,0.09384671,0.09467288,0.09698597,0.09869475,0.097490974,0.09265392,0.0858129,0.079751104,0.07678602,0.07743433,0.08099696,0.08572615,0.08937345,0.08942614,0.08526956,0.079155,0.075730555,0.07743657,0.08256128,0.08556679,0.08335907,0.07738167,0.07292518,0.07346064,0.07846186,0.08437401,0.08751327,0.086636536,0.08292929,0.07960212,0.07948751,0.082547665,0.0854753,0.083392285,0.075347655,0.06460299,0.057125304,0.05505031,0.056292266,0.056138307,0.052329164,0.046126354,0.04119421,0.040433407,0.043962236,0.049211923,0.05272654,0.052687258,0.05025391,0.049025644,0.053278815,0.0643805,0.07969632,0.09248798,0.097447746,0.09334513,0.0845623,0.07637913,0.071896605,0.070706956,0.070897914,0.07141375,0.072245,0.07379642,0.07559066,0.07637053,0.074866526,0.07039908,0.06376702,0.056754515,0.051670983,0.04967749,0.05010152,0.050949637,0.05036737,0.048717722,0.048436064,0.05338633,0.0653216,0.082324885,0.0978539,0.10530885,0.10201011,0.09193493,0.0819915,0.07692596,0.076141,0.07546553,0.07186694,0.066316195,0.062864125,0.06489577,0.071426265,0.078142434,0.0799708,0.07635484,0.07028269,0.06650428,0.06631118,0.06819885,0.069500506,0.06955295,0.069335915,0.06998391,0.07166824,0.07362777,0.07502236,0.07534319,0.07479289,0.074234225,0.07446358,0.075539924,0.07626905,0.07520662,0.07148818,0.06590506,0.06042057,0.057286393,0.05764073,0.060708005,0.06434333,0.065967925,0.06462669,0.061240032,0.058358517,0.0579837,0.06000766,0.062431682,0.06272008,0.060722243,0.05798617,0.056947753,0.057906594,0.05960686,0.059840906,0.05732734,0.052326944,0.046774473,0.04357609,0.044648487,0.049197614,0.05369298,0.05432957,0.050360125,0.04431675,0.039886612,0.03824622,0.038044903,0.036925867,0.034448233,0.03207325,0.0319577,0.034672122,0.038717624,0.041502293,0.041185085,0.037866894,0.033361476,0.03021278,0.030307822,0.033912014,0.039289933,0.04354839,0.044497326,0.042212922,0.03890078,0.036951233,0.03694509,0.037507888,0.036902588,0.034931157,0.033202007,0.03399883,0.038598567,0.046377603,0.05510947,0.06208667,0.065662704,0.06571231,0.06352401,0.06044823,0.057489395,0.05479522,0.052512493,0.05077493,0.049941663,0.04997449,0.050243918,0.049648926,0.046965647,0.042046446,0.036241606,0.032442994,0.0331592,0.038410183,0.045410648,0.05025361,0.051464558,0.050391283,0.049993187,0.05181125,0.05517226,0.058052856,0.0585652,0.0568027,0.054449838,0.053897303,0.05571493,0.058626276,0.06048954,0.060455117,0.05920646,0.05809329,0.05767155,0.057360265,0.05616817,0.053816244,0.051115986,0.04921183,0.04854372,0.04851152,0.048069134,0.04660322,0.04421653,0.04154071,0.03927679,0.03797469,0.038098287,0.039674144,0.042102266,0.043886185,0.04388388,0.04237921,0.041281283,0.042507324,0.045755934,0.048735704,0.04858568,0.045039777,0.04003221,0.03674455,0.03649912,0.038598265,0.04057282,0.040327683,0.037341997,0.03326583,0.030827196,0.031649917,0.034792624,0.037107754,0.03595172,0.031362668,0.026007144,0.02277998,0.022438996,0.02364351,0.024400517,0.02410686,0.023564631,0.024274565,0.026773876,0.030322984,0.033303082,0.034494866,0.033814743,0.03235241,0.03180076,0.033565134,0.037775528,0.042890165,0.04631969,0.046421975,0.043479886,0.039489996,0.03606698,0.03373922,0.03206948,0.031070987,0.031214967,0.032960434,0.035780367,0.03835119,0.039233472,0.037800785,0.034535002,0.030737357,0.02776629,0.026362658,0.026211247,0.02634137,0.02568955,0.02405329,0.022227952,0.0217958,0.024335526,0.030074665,0.03744584,0.043014582,0.044294085,0.04100785,0.035950914,0.032023136,0.030487368,0.030142704,0.029175049,0.027092872,0.025094742,0.025125416,0.027759885,0.031810865,0.034913268,0.035634067,0.034287933,0.032529134,0.031689238,0.031846564,0.03218567,0.03196085,0.031200072,0.030411588,0.030114928,0.03030858,0.030477697,0.029956674,0.028484993,0.026566252,0.025040664,0.024466408,0.024650143,0.024917198,0.024634069,0.023559412,0.022059241,0.020806728,0.020570563,0.021561382,0.023468958,0.025455846,0.026858062,0.027392922,0.027406305,0.02737731,0.027519701,0.02744808,0.026606316,0.024909312,0.023033017,0.021882141,0.021788694,0.022262188,0.022430891,0.021633916,0.019772673,0.017344616,0.0153066665,0.014624889,0.015522744,0.017220981,0.01825942,0.017804885,0.01609114,0.01425755,0.01309359,0.012606564,0.012176762,0.011342928,0.010225513,0.009377915,0.009323386,0.010065455,0.011093468,0.011716963,0.011564918,0.010800351,0.009958166,0.009622507,0.010011144,0.01091342,0.01172701,0.0120064765,0.01169512,0.011243324,0.011069833,0.0112418635,0.011402994,0.011181664,0.010552097,0.0098301815,0.009391081,0.00935039,0.009558683,0.009758152,0.009745686,0.009450305,0.008944616,0.008446793,0.008173685,0.008194927,0.008377937,0.008519828,0.008516164,0.008378492,0.008235849,0.008193006,0.008291411,0.00833565,0.008065813,0.007329793,0.0063951253,0.005750609,0.005796137,0.006392317,0.0069953636,0.0070256605,0.006433222,0.0056367554,0.0052078124,0.0052933744,0.0056301653,0.0057266653,0.005374218,0.0046761152,0.003973598,0.0034654282,0.0031772635,0.0029963378,0.0028646195,0.0027774314,0.0027720311,0.0028759225,0.0031278746,0.0035171236,0.0039587603,0.0042485795,0.0042198244,0.003823555,0.0032032847,0.0025385164,0.001974538,0.0015660665,0.0013458125,0.0013198963,0.0014600387,0.001682503,0.001894868,0.00203397,0.002082493,0.0020366025,0.0019034724,0.0017091288,0.0015160479,0.0013794834,0.0013135191,0.0012728975,0.0012107788,0.0011140626,0.001020609,0.0009782399,0.0010068434,0.0010740053,0.0011048713,0.001038271,0.00087538204,0.0006920819,0.0005780276,0.0005644911,0.00060940994,0.00063898164,0.00062194635,0.0005765275,0.0005455981,0.0005429198,0.0005499169,0.00053533196,0.00048500768,0.00040939485,0.0003304359,0.00026596023,0.00022225206,0.00019790056,0.00018931669,0.00019099195,0.00019624464,0.00020127623,0.00020957983,0.00023034152,0.00026573465,0.00030352062,0.00032022528,0.00030070267,0.00024957006,0.00018829778,0.00013769696,0.00010740102,9.567119E-05,9.665499E-05,0.0001036932,0.00011060032,0.00011180479,0.000105453655,9.360516E-05,8.104721E-05,7.1223556E-05,6.5287975E-05,6.238081E-05,6.1565246E-05,6.216179E-05,6.372264E-05,6.5450535E-05,6.661831E-05,6.678843E-05,6.6315E-05,6.571318E-05,6.5429376E-05,6.5381006E-05,6.538614E-05,6.520113E-05,6.4797605E-05,6.423952E-05,6.379035E-05,6.369708E-05,6.405438E-05,6.467249E-05,6.5236694E-05,6.55012E-05]