[0.003794944,0.0039051187,0.004051468,0.0042122207,0.00507972,0.008664613,0.0176704,0.03359269,0.05476463,0.076693945,0.09468818,0.10651768,0.11277621,0.115234055,0.1152573,0.11360103,0.11097195,0.10847407,0.10752105,0.10945073,0.11491426,0.12272685,0.12970622,0.13150167,0.1256992,0.11351428,0.0998633,0.08970946,0.08508897,0.08428538,0.08513033,0.087720715,0.094202675,0.10500459,0.1172356,0.12591426,0.12768875,0.1219052,0.11096865,0.0989662,0.09118599,0.09104663,0.09845054,0.108681895,0.11633571,0.11812209,0.11518163,0.11052868,0.10709458,0.10537734,0.10407773,0.100869715,0.09479842,0.0869796,0.08072036,0.078800194,0.081784196,0.0868915,0.090374924,0.0897086,0.085569255,0.08083537,0.079161875,0.08251233,0.090576954,0.10078462,0.11076653,0.11907953,0.12554418,0.12944515,0.12991847,0.1263634,0.119811624,0.112412624,0.10700265,0.105814844,0.10969329,0.11692399,0.12361779,0.1255057,0.121049345,0.11273829,0.10580018,0.104572445,0.10988956,0.11873009,0.1267202,0.13094266,0.13141471,0.13003384,0.12837826,0.126298,0.12210093,0.114138275,0.102261685,0.08874642,0.07794142,0.07432697,0.0797618,0.09158912,0.10408929,0.11181059,0.112745255,0.1084247,0.10241737,0.09748415,0.09426942,0.09070399,0.084759705,0.07610885,0.067373015,0.06080055,0.056666274,0.052251536,0.04530107,0.03580125,0.026982239,0.022955336,0.026352642,0.036389578,0.04899019,0.059125137,0.06386949,0.06386664,0.06208558,0.060587663,0.05913749,0.055443943,0.048124287,0.03883439,0.033088554,0.03823513,0.057372242,0.085822046,0.110780515,0.121444084,0.11545842,0.10139174,0.08975488,0.08636802,0.089499205,0.09381046,0.0951361,0.09309694,0.09089249,0.09260061,0.10091444,0.11595365,0.13559191,0.15655516,0.17587823,0.19225901,0.20605148,0.21763532,0.22600941,0.22880769,0.22485493,0.21526976,0.20329428,0.19132079,0.17989884,0.16777052,0.15403484,0.1390785,0.12486476,0.11377472,0.1076828,0.106910594,0.11043296,0.116414584,0.12378416,0.13280596,0.14481185,0.16041613,0.17803274,0.1941496,0.2052772,0.2103187,0.21055192,0.20792353,0.20337361,0.1966828,0.18808258,0.17844583,0.16960835,0.16283898,0.15930653,0.1595756,0.1637245,0.17003685,0.17510486,0.175725,0.17138624,0.16482182,0.15959454,0.15755081,0.15795378,0.15908784,0.16019386,0.16258228,0.1687289,0.18036264,0.19657445,0.2137677,0.22745866,0.23469503,0.23564349,0.23266564,0.22914635,0.22715767,0.22765529,0.2295726,0.23145674,0.23154451,0.2293592,0.22550564,0.22095926,0.2158628,0.20858105,0.19738655,0.18211341,0.16581625,0.15348224,0.1493521,0.15466191,0.16668297,0.18084873,0.1929221,0.20122759,0.20642608,0.20927721,0.20906633,0.2027454,0.18870978,0.16919094,0.15198123,0.14637046,0.15749183,0.18234922,0.21037377,0.22958942,0.23230201,0.2197054,0.2019657,0.19282441,0.20135869,0.22389574,0.2484092,0.26283562,0.26484278,0.25911462,0.2521644,0.24681841,0.24250193,0.23659872,0.22659145,0.21224864,0.19819982,0.19106317,0.19479291,0.20474994,0.21259046,0.21158685,0.20218801,0.18742965,0.16985784,0.15019543,0.13046528,0.11516178,0.10873782,0.112230904,0.12134564,0.12911129,0.12976785,0.121851474,0.10823002,0.094304495,0.08581024,0.086566955,0.096172966,0.10985925,0.12091192,0.12526189,0.12330124,0.11927801,0.11955971,0.13004948,0.1530834,0.18391494,0.21373071,0.23509623,0.24668813,0.2508499,0.24989839,0.24446295,0.23503087,0.22355421,0.2136048,0.20936401,0.2138846,0.22665668,0.24294274,0.2545248,0.25407588,0.23892541,0.21408288,0.19058494,0.17929296,0.18423088,0.19885288,0.21165037,0.21302308,0.2009328,0.17892219,0.15241957,0.12595674,0.1023022,0.08332663,0.07013274,0.06378445,0.06457063,0.07044641,0.07663268,0.07693288,0.06851401,0.05393681,0.040823203,0.03679626,0.044929836,0.06168614,0.07873669,0.08877614,0.089622684,0.08548658,0.082318105,0.082931794,0.08482335,0.08254838,0.072909735,0.057678178,0.043316472,0.03653732,0.04010217,0.051164627,0.063099176,0.07060931,0.07249525,0.07221038,0.07345152,0.07731271,0.08182981,0.08609002,0.093393564,0.10988935,0.13868196,0.17454763,0.2057877,0.22135498,0.21883,0.2042345,0.18775104,0.17735349,0.17777024,0.18894432,0.20609592,0.22077315,0.22677226,0.22501266,0.22259404,0.22628613,0.23631942,0.24674964,0.25030807,0.24485223,0.23401861,0.22420095,0.2180873,0.21357334,0.20549625,0.19226564,0.17638378,0.16324283,0.15432923,0.1480122,0.14042981,0.13059008,0.11877992,0.10660564,0.095203795,0.08633021,0.08114583,0.0790354,0.077028655,0.07142674,0.06093901,0.048357174,0.040012985,0.042218965,0.05717051,0.081139356,0.106436156,0.12672223,0.1404419,0.151267,0.16311397,0.17677467,0.18835644,0.19558911,0.20070203,0.2106456,0.22797911,0.24746525,0.25724998,0.24839522,0.22023691,0.18143189,0.14432424,0.11968708,0.1126687,0.12234032,0.14244737,0.16429843,0.18064666,0.18877178,0.19046207,0.18900295,0.18572558,0.17924266,0.16662557,0.14734887,0.1243503,0.10376828,0.090073206,0.083441675,0.07917819,0.071739666,0.05919744,0.045098115,0.03666466,0.039408367,0.053183317,0.071175516,0.08437177,0.087299116,0.08140779,0.073292516,0.06926445,0.07076964,0.07355139,0.07140572,0.0618453,0.048618793,0.040050216,0.042436454,0.05597073,0.07373113,0.08733156,0.09194854,0.08925631,0.08463737,0.08259004,0.08321499,0.08239464,0.07602578,0.06526307,0.058564425,0.067353815,0.09657397,0.13901252,0.17870505,0.2037037,0.21477152,0.2229119,0.23714511,0.2556294,0.26813447,0.26610732,0.25118718,0.23352526,0.22352453,0.22479212,0.23469664,0.24898131,0.26402208,0.27672037,0.28524515,0.2897724,0.29045224,0.2834166,0.2631452,0.22919255,0.1914118,0.16441792,0.15763594,0.16828166,0.18427157,0.19233586,0.18563366,0.16584718,0.14033674,0.1175119,0.10309283,0.09823594,0.09930902,0.09954112,0.092889816,0.07836008,0.061134975,0.049789637,0.049842406,0.06051752,0.07464621,0.084615774,0.086856365,0.08404706,0.08183066,0.08405783,0.090518884,0.098284625,0.10725502,0.121551715,0.1472014,0.1838907,0.22261739,0.2484684,0.25067466,0.22805834,0.19113618,0.15683112,0.14364421,0.16097544,0.20286794,0.24590547,0.26534024,0.25152865,0.2187211,0.19246727,0.19107215,0.21466815,0.24717535,0.27005008,0.27244905,0.25704923,0.23314758,0.20885454,0.18627852,0.16463734,0.14602514,0.1352527,0.13575478,0.14403427,0.15181877,0.15149967,0.14109033,0.123905964,0.10530546,0.09030875,0.08223163,0.08160052,0.08524051,0.086620085,0.08022583,0.065516636,0.04895908,0.039850894,0.04404225,0.059889246,0.07904688,0.09296406,0.0985829,0.100913756,0.109188795,0.12857686,0.15585648,0.17991072,0.19263287,0.19383526,0.1918459,0.19351186,0.19953193,0.20433581,0.2020814,0.19076715,0.17360877,0.15715678,0.14921202,0.15370893,0.16846095,0.18326573,0.18818766,0.17976624,0.16591619,0.15867724,0.16574496,0.18454348,0.20476265,0.21645366,0.21663658,0.2102831,0.20477085,0.20246641,0.20008153,0.19229625,0.17945985,0.16627055,0.157986,0.15423697,0.15110417,0.1447197,0.13437904,0.12148604,0.10828311,0.097307086,0.09134982,0.09131319,0.09495247,0.09638629,0.090534955,0.07644922,0.05954665,0.048126865,0.048198134,0.059313703,0.07447076,0.08575816,0.09049439,0.09476274,0.10860562,0.13703805,0.17352958,0.20269309,0.21142806,0.19869487,0.1765108,0.16187936,0.16515295,0.18542565,0.21125694,0.23074116,0.23736452,0.23408759,0.22772425,0.2236414,0.22172344,0.21822983,0.21046491,0.19895975,0.18649177,0.1748457,0.16432114,0.15539958,0.14975367,0.14963637,0.15522957,0.164002,0.17123418,0.17255725,0.16612558,0.15387134,0.14150482,0.13536121,0.13841327,0.14758278,0.1560899,0.15819639,0.15192968,0.1390852,0.12345261,0.1098138,0.10211172,0.10068044,0.101514034,0.09796166,0.0865337,0.06942445,0.054354694,0.04935983,0.058283325,0.078255184,0.10085478,0.11757594,0.12544082,0.13002096,0.14092319,0.16373855,0.19499254,0.2235983,0.23989856,0.24191153,0.23927595,0.24521239,0.26704684,0.29719627,0.31946433,0.32265878,0.30979288,0.29334787,0.282415,0.27777103,0.27530184,0.2730192,0.27250412,0.27679148,0.28874096,0.3088851,0.33336806,0.35235533,0.35544387,0.33972308,0.31252727,0.28424087,0.2592231,0.23445936,0.20662378,0.17836171,0.15882494,0.15786211,0.18031281,0.22179969,0.26847968,0.3019611,0.30851868,0.2887641,0.25641966,0.22895932,0.21417232,0.2081571,0.2007435,0.18584712,0.16547696,0.14955755,0.15108837,0.17887242,0.22940381,0.2844478,0.32126665,0.32822442,0.3119549,0.28850713,0.26932058,0.25600004,0.24437441,0.23046543,0.21343303,0.19777346,0.19424923,0.21346097,0.25554135,0.30492148,0.34022713,0.34925696,0.3348873,0.30891094,0.2809193,0.25529677,0.23044752,0.2041689,0.17707328,0.15784694,0.15980352,0.18997973,0.23874171,0.28113627,0.2942826,0.27358195,0.23445255,0.1974564,0.17242654,0.15598233,0.1387779,0.1155149,0.088838406,0.06952001,0.07240967,0.10626473,0.1645211,0.22364338,0.2587433,0.26022673,0.23885578,0.2127543,0.19202547,0.17504849,0.15474762,0.12771143,0.09782972,0.07663146,0.07948405,0.115279995,0.1762821,0.23679024,0.26995626,0.2668082,0.24038152,0.21088652,0.18826248,0.1710102,0.15532954,0.14371158,0.1422286,0.15476309,0.18193233,0.22059524,0.26393872,0.29785243,0.30963594,0.2962178,0.2694199,0.2446417,0.22970147,0.22100596,0.21112387,0.19793482,0.18824571,0.19268513,0.21818626,0.26035786,0.30573723,0.33704433,0.34484133,0.33120868,0.3075839,0.28461266,0.26518843,0.2459122,0.22333847,0.20056252,0.1859709,0.18876825,0.21308844,0.2538353,0.29711488,0.3237319,0.32156804,0.29276416,0.25424603,0.22480486,0.21438952,0.2208898,0.23396468,0.24227381,0.23907177,0.2283727,0.22414273,0.23909397,0.27224556,0.30382907,0.31274012,0.29177836,0.25568804,0.22491996,0.21156526,0.211414,0.2116801,0.20138274,0.1806693,0.16183239,0.16359365,0.19504964,0.24699242,0.2923738,0.30903217,0.29361746,0.2639846,0.23907757,0.22604942,0.21832241,0.20723331,0.19132231,0.17895265,0.18175353,0.20701478,0.24939644,0.29353917,0.31941012,0.3179659,0.2942048,0.26392198,0.23716831,0.21314053,0.18447524,0.14792155,0.107874624,0.074306145,0.05903558,0.07381978,0.11987728,0.1839573,0.2373824,0.2596167,0.2479422,0.22051199,0.19353509,0.17269063,0.15195669,0.12643395,0.097438246,0.074441746,0.07036271,0.09749142,0.15473753,0.22558999,0.28100193,0.3044735,0.29864866,0.28351018,0.27159783,0.26339376,0.25075057,0.23145683,0.20974082,0.19357294,0.18974169,0.2054819,0.24206425,0.29176924,0.3339142,0.35185063,0.34164357,0.31744328,0.2946603,0.2813512,0.2744813,0.26783612,0.2575095,0.2452008,0.23807652,0.24566953,0.27057734,0.30341125,0.32366285,0.3174738,0.28619424,0.24760449,0.21769214,0.20177639,0.19293238,0.18300442,0.17050326,0.16262119,0.16971403,0.19834878,0.24292879,0.28779987,0.31118336,0.30365822,0.27041656,0.23083699,0.19835639,0.17591226,0.15571977,0.13130854,0.101974286,0.075999,0.06704566,0.09039926,0.14657386,0.21819961,0.27101585,0.28474292,0.26125455,0.22738415,0.20637761,0.20886157,0.22774492,0.24932802,0.2602241,0.25594714,0.24552608,0.24766374,0.2740411,0.31789216,0.35398448,0.36219883,0.33905187,0.30131865,0.26652256,0.24460872,0.23253323,0.2221936,0.20657383,0.18739182,0.17679948,0.19127928,0.23619069,0.29685402,0.34317613,0.35356566,0.32813755,0.28817755,0.2556148,0.24107933,0.2414165,0.24758203,0.2523372,0.2541002,0.25712124,0.26828745,0.28768215,0.30719244,0.3103613,0.29098275,0.25472194,0.21955669,0.19546515,0.18149595,0.16678406,0.14351107,0.11243805,0.08491498,0.07797706,0.10635713,0.16815595,0.2433192,0.30066654,0.32440332,0.3188552,0.3042334,0.2928705,0.28630638,0.27831146,0.2649371,0.24587826,0.2248302,0.21080516,0.2155519,0.24343722,0.2843561,0.31637114,0.32463196,0.3091269,0.2837324,0.25979716,0.24163397,0.22643287,0.2110223,0.19454561,0.18106562,0.17928155,0.19852819,0.23809017,0.2846078,0.31663188,0.32351387,0.30916268,0.28880987,0.27206108,0.26064864,0.2508587,0.24121062,0.23351252,0.23236085,0.24322589,0.2689401,0.30226633,0.3273537,0.32657143,0.2981704,0.25452772,0.21557455,0.19001763,0.17614353,0.16484024,0.14984901,0.12966372,0.11096766,0.10718808,0.13229646,0.1854089,0.24678902,0.2863845,0.2902695,0.26669008,0.240229,0.22731888,0.231153,0.24233305,0.25112405,0.25185052,0.24718748,0.24679823,0.26122823,0.291348,0.3237702,0.33888388,0.3272722,0.2962142,0.2633718,0.24172966,0.23421799,0.23519613,0.23716629,0.23465966,0.22681546,0.21814902,0.21460842,0.21878688,0.2264291,0.23137705,0.23095466,0.22883035,0.23005955,0.23665266,0.24636705,0.25564346,0.26253995,0.2668985,0.2696466,0.2708007,0.2692256,0.26291218,0.25120196,0.23597515,0.22113281,0.21006632,0.20373315,0.20032655,0.19665438,0.18981184,0.17864259,0.16399223,0.14810944,0.13357551,0.12292377,0.11734465,0.11593207,0.114845194,0.11080868,0.10351885,0.09731537,0.09623084,0.100741744,0.10693407,0.112694375,0.12240136,0.146358,0.1927365,0.25839087,0.32673666,0.3756573,0.39159736,0.37789285,0.3506044,0.32557213,0.30853614,0.29549798,0.27983877,0.25809714,0.23276393,0.21161504,0.20688622,0.22673857,0.2674259,0.3099469,0.3346568,0.33607936,0.32641014,0.32005385,0.3194555,0.31582877,0.30080044,0.27655336,0.25337815,0.24373329,0.25446555,0.2844416,0.3217063,0.34812555,0.34876505,0.324267,0.29036093,0.2669096,0.2626617,0.27264455,0.28329262,0.28260955,0.26677653,0.24374264,0.23098944,0.24296035,0.2796946,0.3225557,0.3500559,0.35258177,0.33871236,0.32273927,0.3130003,0.30761495,0.30038968,0.288159,0.27438948,0.2689116,0.28194785,0.3157841,0.35967028,0.39392135,0.40368304,0.38757583,0.35648724,0.32132038,0.28605467,0.24897765,0.20905668,0.17006616,0.14058883,0.13273504,0.15785445,0.21678156,0.29330847,0.35713312,0.38477612,0.37407014,0.34418806,0.31490424,0.29328144,0.27502477,0.25642475,0.24022847,0.23198284,0.23625354,0.25592202,0.2892975,0.32631853,0.3472611,0.33807132,0.30146298,0.25874242,0.23099951,0.22582306,0.23501675,0.24427865,0.24297965,0.2298228,0.21435218,0.2134706,0.23815767,0.28458014,0.33026114,0.35312843,0.3432597,0.31176528,0.27631617,0.25177804,0.24019152,0.23386677,0.22097333,0.19754201,0.17336951,0.16936147,0.19815648,0.2523079,0.30342755,0.32811716,0.32220605,0.3024334,0.28504917,0.27460298,0.26592898,0.2545356,0.24396162,0.24193425,0.25554308,0.2858694,0.3259196,0.3634437,0.3832889,0.37899932,0.35430095,0.32398847,0.29955283,0.2841698,0.271121,0.25381216,0.23139106,0.21132572,0.20409928,0.21988992,0.25979283,0.31534347,0.36536482,0.39124706,0.3836205,0.35130966,0.30912554,0.27061924,0.24074793,0.22003765,0.20782785,0.20483597,0.21231014,0.23331292,0.26707897,0.30728522,0.33671942,0.34237233,0.32219282,0.29134998,0.26592538,0.25460002,0.25484848,0.25996614,0.26483616,0.26920652,0.2779038,0.297478,0.3263869,0.35295725,0.3573501,0.33141193,0.28261086,0.23305392,0.19834037,0.18185765,0.17565806,0.17262976,0.17110813,0.1750093,0.18951167,0.21977977,0.2631099,0.30919388,0.3378226,0.3381503,0.31224412,0.27877548,0.25270334,0.23966937,0.23346965,0.22614731,0.2134176,0.19854814,0.19174556,0.20638387,0.24570836,0.29761085,0.3348069,0.33925787,0.31092912,0.27006143,0.23347764,0.2069016,0.18414658,0.16016205,0.13534449,0.11738524,0.1170069,0.1456099,0.20104015,0.26563236,0.30680957,0.3067949,0.26989084,0.22342408,0.18816668,0.1700296,0.16046055,0.15328276,0.15210001,0.16805387,0.21083331,0.2788661,0.35596156,0.4176128,0.44297454,0.4292927,0.39021894,0.34738538,0.31344667,0.29003444,0.2705746,0.24929444,0.2241777,0.20005952,0.1877439,0.20128058,0.2427969,0.29862395,0.34030047,0.3521171,0.33601812,0.31255546,0.29541865,0.28910255,0.2875174,0.28632826,0.28301522,0.27994823,0.28204262,0.29799697,0.33002225,0.37145305,0.40348542,0.41372666,0.40040028,0.3763119,0.35129902,0.3301153,0.3103116,0.29144976,0.27404562,0.2623818,0.26146296,0.27851108,0.3116031,0.3490759,0.3693669,0.36227286,0.33251587,0.29933038,0.27629998,0.2670189,0.26476684,0.2626331,0.25703636,0.25091,0.2514605,0.2675959,0.2985824,0.33247933,0.34799066,0.33562335,0.30092868,0.26277936,0.23191158,0.2095746,0.19056237,0.17654449,0.17373197,0.18908836,0.22264987,0.26949367,0.31719744,0.35122654,0.35846618,0.34118065,0.31345412,0.2930887,0.28384545,0.27871048,0.26779604,0.2505404,0.23314607,0.22547106,0.23486514,0.26537472,0.30954322,0.3500147,0.36353096,0.34251726,0.29803708,0.25663528,0.23666687,0.24222453,0.2621579,0.28301498,0.29602122,0.3020232,0.30911902,0.32526782,0.34852275,0.36576438,0.3616965,0.33448052,0.29699886,0.26744044,0.25345233,0.2506481,0.2485919,0.24039279,0.22667831,0.21612336,0.2213524,0.25021163,0.2964034,0.3409891,0.36434147,0.36239162,0.34633258,0.3325379,0.32740036,0.32767993,0.32616016,0.3212594,0.3171185,0.32163766,0.33990833,0.370404,0.40145925,0.41698992,0.40589556,0.37202683,0.330207,0.29611528,0.27655217,0.2702122,0.27190235,0.27627373,0.28040865,0.2858405,0.29845583,0.32323655,0.35726205,0.3887984,0.40413818,0.39920223,0.3814261,0.36344454,0.35130396,0.3421495,0.3281386,0.3042588,0.2726859,0.24373285,0.23219211,0.24746476,0.28327075,0.31743124,0.32639036,0.30445576,0.2667209,0.236167,0.22476856,0.22936983,0.23790874,0.23975988,0.23202014,0.22055505,0.21875589,0.23737662,0.2761185,0.3184303,0.3439599,0.34237027,0.32076254,0.29371604,0.27110222,0.25332525,0.23684986,0.22044496,0.20618647,0.1963411,0.19088204,0.18844897,0.18777533,0.18849075,0.18853737,0.18490328,0.17453879,0.15971112,0.14639886,0.14221174,0.14872475,0.16183247,0.1748534,0.18682963,0.20457715,0.23547004,0.27609223,0.30822724,0.31200242,0.2831377,0.23692197,0.19484247,0.1670909,0.15017085,0.13411456,0.113227375,0.089678355,0.07406067,0.081696816,0.121962465,0.18781455,0.25380927,0.29316264,0.2962145,0.275239,0.24973536,0.22976826,0.21244015,0.18949223,0.15692641,0.12005768,0.09294867,0.09398776,0.13157377,0.19469197,0.25258544,0.27734265,0.26227513,0.22536941,0.18972178,0.16614084,0.15045235,0.13325293,0.10991379,0.08482174,0.07040133,0.0835586,0.13199,0.20551825,0.27386925,0.30954918,0.3047956,0.2773178,0.2503449,0.23656088,0.23401175,0.23473434,0.23270802,0.22602034,0.21768528,0.21667011,0.23179899,0.2642698,0.29985416,0.32138458,0.32017815,0.30473164,0.28828952,0.27941933,0.27763158,0.27891693,0.27893236,0.2758567,0.27200118,0.27704003,0.2988715,0.33605543,0.37017253,0.38270262,0.36669567,0.3341733,0.29967022,0.27027547,0.24320282,0.21616215,0.19201575,0.17852323,0.18269062,0.2090383,0.25264516,0.29885316,0.3242916,0.31533256,0.27663866,0.23115128,0.20049362,0.19175766,0.19612865,0.19880588,0.19214852,0.17957771,0.17470421,0.19177818,0.23537213,0.29477164,0.34591213,0.36934218,0.36077955,0.33517233,0.30847535,0.28821978,0.27069414,0.2522818,0.23414141,0.22330217,0.22785087,0.25432393,0.29939887,0.34881136,0.3790977,0.37615696,0.34253386,0.2977842,0.26095873,0.24141271,0.23704529,0.24059832,0.24488021,0.24633233,0.2473901,0.25723222,0.28026724,0.31016985,0.32558557,0.31250906,0.27242985,0.22586836,0.18928479,0.16692527,0.14999248,0.12980324,0.10413433,0.080367886,0.07231247,0.09622556,0.1546812,0.23153584,0.29193482,0.31242016,0.29197243,0.2551317,0.22377534,0.20652445,0.19640754,0.18510146,0.16944237,0.15456848,0.15068422,0.17002934,0.21383923,0.2688996,0.30706397,0.3105928,0.28045997,0.23901744,0.20508607,0.185812,0.17493214,0.16574107,0.15604575,0.15090929,0.1602506,0.19440271,0.25206432,0.31606424,0.35877776,0.36521438,0.3412172,0.30890325,0.28385296,0.26730406,0.24982429,0.22529961,0.19655205,0.17408258,0.16935414,0.19242676,0.24239413,0.30733654,0.3604553,0.3826673,0.36915573,0.3372294,0.3048409,0.28274095,0.2688628,0.2570615,0.24304111,0.2294503,0.22601807,0.24507177,0.2863522,0.33421025,0.36018857,0.3511112,0.3131152,0.27076617,0.23971534,0.22163288,0.2049648,0.17973514,0.14455046,0.110001884,0.09498024,0.118832886,0.1829025,0.26660737,0.3315594,0.35562316,0.34040833,0.31144944,0.28642413,0.27031794,0.25571933,0.23845203,0.2196573,0.20503809,0.20311803,0.22236353,0.26409706,0.3158021,0.3538272,0.3616524,0.34062883,0.3097531,0.28685996,0.27846804,0.2780478,0.2751175,0.26474527,0.25208485,0.251016,0.2734405,0.31606337,0.35925552,0.37713423,0.36175606,0.3248718,0.2910963,0.2725334,0.26724747,0.26282838,0.25264454,0.23740034,0.22581972,0.2275588,0.25032705,0.28940427,0.32834244,0.34318733,0.32450652,0.28135177,0.23723352,0.20712961,0.19215792,0.18218762,0.169212,0.15260278,0.14075677,0.14666662,0.1809984,0.23888,0.29880008,0.33086285,0.32312584,0.2869968,0.2508373,0.23255736,0.23232262,0.23665185,0.23622811,0.23183697,0.23151381,0.24204457,0.2664365,0.30062923,0.33503124,0.3546493,0.35278738,0.3338144,0.31250876,0.29700077,0.28623,0.27249193,0.25397283,0.23611905,0.22999935,0.24374521,0.2790755,0.32471362,0.3614668,0.3695568,0.34600306,0.30406055,0.26469994,0.23771255,0.2201333,0.20335752,0.1854413,0.17357206,0.17941506,0.21102099,0.26607582,0.3281683,0.3729355,0.3799833,0.3492461,0.29843026,0.2513987,0.21822786,0.19516082,0.17178947,0.14370264,0.11446773,0.09510226,0.09990668,0.13920105,0.20631826,0.27536985,0.31355217,0.30869737,0.27487153,0.24118523,0.2230163,0.21747024,0.21117061,0.199485,0.18900079,0.19170153,0.21457326,0.25609183,0.3056039,0.34689072,0.3650643,0.3572315,0.33385107,0.31050503,0.2940772,0.28106046,0.26441637,0.24470161,0.23067518,0.23510845,0.26425916,0.31401932,0.36642805,0.39965975,0.3980948,0.3662486,0.3223063,0.28613973,0.2637427,0.25033626,0.23856668,0.22654317,0.21768516,0.21804184,0.23445876,0.2685162,0.31090143,0.34109664,0.34055176,0.3077365,0.25921717,0.2158186,0.18586405,0.16422606,0.14098622,0.11235491,0.08381895,0.0687203,0.08347423,0.13596092,0.21551938,0.2926036,0.33843824,0.34456918,0.32585773,0.30382583,0.289626,0.28174457,0.27159193,0.2533413,0.2281289,0.20814538,0.20933135,0.24036781,0.29085493,0.33575833,0.35152623,0.3337271,0.29727802,0.2625355,0.23934674,0.22569142,0.21527958,0.20591812,0.20075804,0.20625152,0.22926664,0.27082562,0.32123855,0.36079285,0.3726968,0.3550212,0.32123998,0.28811505,0.26422969,0.24932422,0.23951758,0.23191477,0.22662376,0.22763123,0.24326928,0.2773439,0.32112482,0.3518524,0.35010922,0.31587413,0.26847386,0.22877394,0.20204838,0.18012635,0.15226382,0.11682546,0.08208443,0.0636866,0.07888257,0.13402157,0.2156253,0.2899448,0.32657376,0.31815866,0.28549773,0.25650233,0.24659812,0.25340468,0.26548156,0.27324477,0.27436432,0.2748724,0.28630504,0.3153306,0.3562919,0.38935682,0.39668736,0.37408498,0.334343,0.29359722,0.26188216,0.24072397,0.22735198,0.21723212,0.20789726,0.20262337,0.21298261,0.2466736,0.2976649,0.3416023,0.35662806,0.3378199,0.30167958,0.26793218,0.24700715,0.23712678,0.23173243,0.22593486,0.22047876,0.22263376,0.24393077,0.28817132,0.34410563,0.38510168,0.3907337,0.35985628,0.31242597,0.26821974,0.23434804,0.20470542,0.17232426,0.13650997,0.1045877,0.08871269,0.103606425,0.15383965,0.22723274,0.2920088,0.3218954,0.31083176,0.27954885,0.25248903,0.24377944,0.2512802,0.26552185,0.27589658,0.2752462,0.26417986,0.25458643,0.26224878,0.29420516,0.33740142,0.37063766,0.3796735,0.36914563,0.35135618,0.3357141,0.32401323,0.31607768,0.3133427,0.3173271,0.32813165,0.34552777,0.3666089,0.38485852,0.3879145,0.3710103,0.33999535,0.31090602,0.2913235,0.2769972,0.2567895,0.22767837,0.19919582,0.18742639,0.2044981,0.25101992,0.31433114,0.37413824,0.40924728,0.41052732,0.38204584,0.340476,0.30065823,0.27023467,0.24612843,0.22181344,0.1933067,0.16457449,0.14686204,0.15552314,0.19682312,0.2614474,0.32092354,0.3509202,0.3435935,0.31536365,0.2846161,0.26175645,0.2443714,0.22827332,0.21086033,0.193978,0.18432821,0.19505014,0.23523957,0.30011922,0.3643889,0.40195262,0.40008447,0.3694313,0.32718894,0.28691256,0.25132346,0.21851324,0.18743175,0.1626141,0.1547573,0.17604983,0.22710045,0.29209423,0.3407913,0.3534871,0.32955515,0.28962457,0.25168636,0.22273606,0.19653451,0.16624643,0.13122244,0.10078704,0.090805925,0.11715736,0.17927252,0.25673035,0.31352112,0.32901037,0.30589578,0.26958212,0.2389335,0.21914555,0.20187122,0.18088353,0.15716195,0.14038175,0.14322145,0.17636257,0.23557617,0.3014169,0.34272766,0.34371737,0.30951932,0.26544854,0.2298869,0.20748554,0.18990134,0.17106104,0.15190509,0.14052846,0.14697583,0.18012415,0.23710163,0.3013148,0.34463668,0.3519242,0.3287364,0.29968154,0.28321013,0.28261375,0.2875937,0.28708652,0.276355,0.25791052,0.24145764,0.24038863,0.26303348,0.30451536,0.34500146,0.36590925,0.3601842,0.33713028,0.3082153,0.27990815,0.25117657,0.22062951,0.19285078,0.1784411,0.18960436,0.23004039,0.28833988,0.34087852,0.36312222,0.34792927,0.3069532,0.26360342,0.23239897,0.21438557,0.20041485,0.18444283,0.1689828,0.16352375,0.17788394,0.21588536,0.26945424,0.3201156,0.345535,0.33738378,0.30517736,0.27175,0.25296593,0.2505853,0.25298086,0.24599892,0.22275348,0.18960781,0.16679269,0.17642903,0.22560067,0.29655203,0.35559323,0.37734818,0.3593439,0.32116726,0.28616264,0.2678684,0.26458004,0.26454458,0.2570674,0.24175024,0.23198493,0.24436748,0.28185686,0.327262,0.35301423,0.34597507,0.31326815,0.27531198,0.24338466,0.21686357,0.18776019,0.15343751,0.118939675,0.096191965,0.099137336,0.13646346,0.20101042,0.26850528,0.30919322,0.31105778,0.2850102,0.25513992,0.23592108,0.22774406,0.22194527,0.21319668,0.20314081,0.19976129,0.2126987,0.2459771,0.29100353,0.32794118,0.3375915,0.3172473,0.28134528,0.2499855,0.2319962,0.22351499,0.21496572,0.20185359,0.18738633,0.1808828,0.19261277,0.22685039,0.27593195,0.322004,0.34834716,0.3509431,0.3384508,0.3227754,0.3105713,0.30290723,0.29691553,0.2883921,0.273693,0.25645986,0.24701005,0.2570535,0.28591165,0.31974766,0.33995602,0.34039629,0.3281509,0.31366292,0.29674363,0.27076855,0.23350601,0.19657542,0.17779301,0.19044125,0.23372038,0.29431477,0.35061303,0.38207176,0.37806782,0.3450235,0.3011702,0.2646856,0.24152453,0.22707655,0.21372052,0.19943531,0.18866797,0.18989438,0.21147704,0.2542369,0.30615065,0.34404364,0.34898612,0.32108855,0.27932525,0.24574311,0.22849834,0.2215532,0.21408437,0.20171262,0.1881588,0.18278211,0.19646145,0.23501305,0.29335865,0.35324064,0.39366806,0.40377286,0.38846377,0.3626616,0.33928123,0.32441488,0.31339976,0.2976152,0.27073804,0.23981953,0.22355522,0.23841183,0.2823322,0.3306203,0.35583684,0.34728885,0.31819597,0.28993276,0.27554396,0.27475417,0.27997193,0.2854862,0.2908208,0.3006376,0.32115126,0.3519841,0.3826476,0.39375162,0.3732313,0.32538044,0.2707968,0.22878033,0.20512237,0.19054522,0.17174518,0.14219522,0.1083959,0.08714482,0.0982062,0.14775474,0.2212404,0.28614247,0.3174763,0.3125397,0.29134634,0.27472973,0.27100658,0.27502787,0.27761337,0.27315328,0.26238438,0.25274965,0.2561629,0.27995947,0.3199897,0.35655856,0.37040973,0.35507366,0.32419828,0.29586136,0.27999297,0.27353612,0.26890752,0.26103142,0.25077024,0.24346317,0.24918441,0.27284184,0.30998775,0.3409996,0.35047746,0.33568898,0.31224987,0.29306975,0.28018346,0.26421645,0.23995441,0.21224417,0.19479467,0.19986439,0.23257095,0.28373146,0.33352044,0.35764447,0.34684718,0.3117367,0.27611485,0.25448754,0.24319793,0.22769074,0.19767882,0.15577663,0.11519515,0.09423537,0.10965023,0.16417103,0.24190086,0.31009114,0.3454257,0.34489024,0.3273125,0.30850884,0.29280365,0.27388242,0.24879514,0.2228893,0.20806067,0.21563475,0.2507738,0.3057182,0.3627378,0.39916703,0.40531704,0.386459,0.3607738,0.34103024,0.33104822,0.32632914,0.32321736,0.32048798,0.31876615,0.31834856,0.31835234,0.31611755,0.3082019,0.29355073,0.27694836,0.26656684,0.26676792,0.2715737,0.2687017,0.25025555,0.2214485,0.19764678,0.19266044,0.20885253,0.23582418,0.25923952,0.26926336,0.26498508,0.25122356,0.23479049,0.22107084,0.2132865,0.21132302,0.21246718,0.21235132,0.20842992,0.20095043,0.19329518,0.18909197,0.19025703,0.19549598,0.20082223,0.20197318,0.19705468,0.1882757,0.18031019,0.17620032,0.17527562,0.17428763,0.17395252,0.18126208,0.20729642,0.257838,0.32545963,0.39085606,0.4321402,0.4408752,0.42417625,0.39872143,0.37469503,0.35221925,0.32528684,0.29068026,0.25183284,0.21835357,0.20386113,0.22087125,0.26850727,0.32885873,0.3715154,0.38060173,0.36190268,0.33987114,0.32979468,0.3310621,0.33100438,0.3221035,0.3079786,0.29949436,0.30668303,0.33302817,0.3720968,0.40869737,0.42309427,0.40641364,0.3673679,0.33003762,0.31422794,0.32337594,0.3439646,0.35718274,0.35178593,0.33055782,0.3100185,0.31010196,0.33874407,0.38493112,0.4241614,0.4396853,0.4304693,0.4099677,0.38913664,0.37184134,0.3553081,0.33805248,0.32228252,0.314288,0.3208529,0.3462138,0.38507786,0.42477128,0.4480913,0.44821885,0.428154,0.3991975,0.36663714,0.33082247,0.2892269,0.24460788,0.20484705,0.1823541,0.18973379,0.23378305,0.30494094,0.3774618,0.4200263,0.419876,0.38748482,0.348284,0.31863368,0.30166677,0.2916006,0.28611216,0.28643146,0.29625702,0.3183026,0.35472128,0.39889145,0.4351903,0.44190285,0.41248274,0.35916615,0.3090723,0.28140497,0.28018895,0.29442284,0.30846855,0.31170368,0.3039418,0.29825842,0.3108933,0.34894392,0.4002776,0.4407436,0.4513885,0.4299947,0.39122227,0.3536975,0.331329,0.32417846,0.32126153,0.30761686,0.28065944,0.25464806,0.25199685,0.28096905,0.32786348,0.36552897,0.3780028,0.36792874,0.3515792,0.33976245,0.33374253,0.32829037,0.32270372,0.32277197,0.33642223,0.36570966,0.40399754,0.4382416,0.4560922,0.45085236,0.42689702,0.39576653,0.3702818,0.35396755,0.34133366,0.32308188,0.29613706,0.2664968,0.24676858,0.24908459,0.2788235,0.32939184,0.38338146,0.41946343,0.42534888,0.40304446,0.36667415,0.33064118,0.30382988,0.28724977,0.27983484,0.2800438,0.28821325,0.30502263,0.33168212,0.36540148,0.39605737,0.4087719,0.39528862,0.36184558,0.32561478,0.3019965,0.29738116,0.30827984,0.3273243,0.34651843,0.36323538,0.3797393,0.4007593,0.42322388,0.43519256,0.422171,0.381855,0.32643852,0.2745952,0.23689274,0.21312165,0.1979078,0.18980491,0.19317055,0.21320485,0.25157815,0.30133024,0.3498653,0.38018653,0.38218662,0.35744217,0.32152638,0.29364762,0.28611884,0.2983162,0.31755427,0.32760382,0.31993487,0.3027339,0.29789567,0.32220337,0.37070552,0.4149778,0.42669404,0.39873433,0.3494482,0.3037866,0.27477145,0.2589223,0.24513859,0.22618103,0.20461513,0.19169575,0.20184046,0.24030598,0.29600647,0.3420799,0.35535356,0.33216974,0.29144624,0.2566472,0.23898481,0.23382308,0.2308305,0.22620656,0.22647817,0.24358714,0.2848269,0.3448957,0.40680587,0.45018235,0.46428403,0.4523817,0.42763796,0.40123788,0.3765756,0.3505186,0.31970727,0.28417912,0.2491336,0.22399609,0.22120507,0.2460208,0.29050684,0.33132493,0.34846032,0.33746767,0.31422907,0.29767123,0.2973223,0.3085324,0.3205665,0.32508305,0.32169977,0.31746256,0.3240169,0.3478477,0.38591626,0.4219589,0.44099984,0.43703452,0.41896498,0.39702752,0.37686798,0.3579099,0.34028533,0.32571992,0.31598398,0.31303582,0.32139632,0.34395698,0.3755726,0.399053,0.39883217,0.37201574,0.33363104,0.30286646,0.2912995,0.29718614,0.31012273,0.3207929,0.32691845,0.33502117,0.35414466,0.38623378,0.4214369,0.43950966,0.4266475,0.38460127,0.33254737,0.2888081,0.26065776,0.24396338,0.23535568,0.237059,0.2545823,0.28908014,0.33694997,0.38677254,0.4234544,0.43084028,0.40762445,0.36923096,0.3398557,0.33026385,0.33250394,0.3303975,0.31670776,0.29808143,0.2875062,0.29496554,0.32357296,0.36681965,0.40970287,0.4299878,0.41446137,0.367175,0.31181705,0.27285042,0.26259685,0.27650794,0.30062088,0.32213002,0.33645678,0.35012496,0.37331617,0.40658057,0.4359897,0.4405631,0.4131602,0.36567903,0.32259616,0.3017764,0.30734277,0.3305551,0.35642257,0.3712912,0.3699093,0.36003685,0.35791647,0.3730065,0.40085045,0.42335692,0.42974243,0.4209726,0.40981016,0.40260673,0.39740002,0.38732347,0.37024727,0.35080913,0.33748886,0.3388034,0.35993958,0.39600924,0.43261907,0.4489964,0.43597755,0.39892757,0.3569806,0.3260235,0.3136717,0.31695703,0.32768276,0.33726433,0.3421599,0.34609464,0.35831818,0.38204172,0.41203156,0.43081304,0.4277638,0.40159276,0.36696687,0.3363683,0.31584647,0.300662,0.28405437,0.2627392,0.2413544,0.23145495,0.24666595,0.28742924,0.33739892,0.365692,0.35598406,0.31394652,0.26766393,0.23951769,0.23756416,0.25341603,0.27483812,0.29156783,0.30010486,0.30466583,0.31744328,0.34598902,0.3865923,0.41798517,0.4235491,0.39889672,0.35920748,0.31853035,0.28573066,0.26112756,0.24520898,0.23705572,0.23416366,0.23185156,0.22808553,0.22349529,0.22050817,0.21777885,0.21170032,0.19831951,0.17928372,0.16173898,0.15453511,0.16167177,0.17791222,0.19322419,0.20171134,0.20948346,0.23227851,0.27777052,0.33598045,0.37763357,0.3825319,0.35001114,0.3028379,0.2604986,0.23030256,0.20523138,0.17834234,0.14978597,0.1290917,0.1301983,0.16386838,0.22492331,0.29184583,0.33401215,0.3380568,0.31186032,0.28024617,0.25890544,0.25021216,0.24517311,0.23711687,0.2253766,0.21678467,0.22180314,0.24967325,0.29648164,0.34453452,0.3675851,0.3548261,0.31449068,0.2704916,0.23881654,0.22230174,0.21243815,0.20193936,0.19134809,0.18888001,0.20610188,0.24862213,0.30813274,0.36301938,0.38888156,0.37774578,0.34036896,0.29915,0.26857653,0.25193343,0.24304037,0.23532188,0.22549003,0.21751185,0.222494,0.25201243,0.30332187,0.35558343,0.37970468,0.36473146,0.32248816,0.27838188,0.24614264,0.22426043,0.20272213,0.17691918,0.1517034,0.13813026,0.14860177,0.18910997,0.25233653,0.31643423,0.3550351,0.35680184,0.33088458,0.29949293,0.27697197,0.26472437,0.25486097,0.24230905,0.22878797,0.22292165,0.23525815,0.2709732,0.31994668,0.3587536,0.3622323,0.32623732,0.2681668,0.2172129,0.19042213,0.18907641,0.20143037,0.21526437,0.22469874,0.23354022,0.25243136,0.28815556,0.33417585,0.37041172,0.37691548,0.35036626,0.3056211,0.26478735,0.24029793,0.2319013,0.23034306,0.2270844,0.21984349,0.21566398,0.22793172,0.26534218,0.32052436,0.36931646,0.38639006,0.36520252,0.3209389,0.2770947,0.24577372,0.22426395,0.20239691,0.1744632,0.14422296,0.1239557,0.12970163,0.17007738,0.2362659,0.30060017,0.3332082,0.32335535,0.2851824,0.24369524,0.21333532,0.19286384,0.17249648,0.14722718,0.12138512,0.10779429,0.121543996,0.17005865,0.24378365,0.31598422,0.3583237,0.36081925,0.33649266,0.30799532,0.2881271,0.2762995,0.2654315,0.25267348,0.24173258,0.24121113,0.2603133,0.30139348,0.35445634,0.39816007,0.4138899,0.39904097,0.36779287,0.33745897,0.31486467,0.29617158,0.2747074,0.2489395,0.22371228,0.2088772,0.21650045,0.25217593,0.3075141,0.3583314,0.38099387,0.36804107,0.33301494,0.29590383,0.26810297,0.2484584,0.23009484,0.20929374,0.18959075,0.18111789,0.19636996,0.23896265,0.29708388,0.3440318,0.35803413,0.33672738,0.29939854,0.26814404,0.25261852,0.24805914,0.24500601,0.23868704,0.23139387,0.23130465,0.24843602,0.28551242,0.33129278,0.36173776,0.35813558,0.32143152,0.27262995,0.23431121,0.21483058,0.20719087,0.19957578,0.1864918,0.17255962,0.169806,0.19166358,0.24060701,0.30343142,0.35271814,0.36854696,0.34981462,0.31581664,0.28561378,0.26664925,0.25355065,0.23935024,0.22258635,0.20924,0.20938964,0.23293452,0.27939808,0.33451107,0.37239745,0.37589124,0.34665558,0.30487564,0.2691073,0.24442379,0.22304614,0.19614477,0.16349477,0.13452405,0.12415049,0.14639173,0.20260882,0.27734932,0.33892703,0.36398223,0.35014284,0.3207765,0.30065632,0.30114174,0.31453118,0.3260844,0.3245441,0.3062616,0.27566284,0.2419915,0.21709406,0.2074952,0.2108693,0.21651389,0.214707,0.20255305,0.1849664,0.16937397,0.16219975,0.16652703,0.18132965,0.20060201,0.21592538,0.22242762,0.22343731,0.22789572,0.24086471,0.2575893,0.26704702,0.26243517,0.24598475,0.22578542,0.20831287,0.19711511,0.19416846,0.20127498,0.21629189,0.23210084,0.23991732,0.23539643,0.22047962,0.20000996,0.17923152,0.1634015,0.15873782,0.16805476,0.18683952,0.20370518,0.20882396,0.20073353,0.18603414,0.17422424,0.17205445,0.1819014,0.1987911,0.21402268,0.21979791,0.21673441,0.21061392,0.20628239,0.20234899,0.19464111,0.18232457,0.16958173,0.16248667,0.16362713,0.17130502,0.18123066,0.18926966,0.19282466,0.19120193,0.18640411,0.1828473,0.18533272,0.1955928,0.20871468,0.2157837,0.2084779,0.18666984,0.1578012,0.13342558,0.1205044,0.11825737,0.11932432,0.11727167,0.11146558,0.10721567,0.10860927,0.1138045,0.11443159,0.10368934,0.08184823,0.05782631,0.04260254,0.042660236,0.056552153,0.076485,0.093736626,0.1034508,0.107005425,0.109459154,0.11431664,0.120223425,0.1210143,0.111447066,0.0915105,0.068622045,0.053164113,0.052420747,0.065735064,0.08467733,0.09891031,0.10280261,0.09882701,0.09445283,0.09561884,0.10426357,0.119642735,0.14297774,0.17544226,0.21466191,0.2532522,0.28318486,0.30133113,0.30729738,0.30142704,0.28280213,0.2558346,0.23170154,0.22464834,0.24092972,0.2728778,0.30376878,0.3188946,0.31374964,0.29210714,0.26023194,0.22276764,0.18328269,0.14616422,0.11720545,0.10190814,0.10298491,0.11676699,0.13513783,0.14956917,0.15959607,0.17050882,0.18800437,0.20924367,0.22634776,0.23197448,0.2247277,0.20700456,0.18314482,0.15887038,0.14080907,0.13237242,0.13043164,0.12618007,0.11277627,0.09062574,0.0681735,0.055473626,0.057671268,0.072606176,0.09344236,0.11567458,0.1387801,0.16535407,0.19565295,0.22752059,0.25728962,0.2819077,0.29964054,0.30994567,0.3140702,0.31358126,0.31038597,0.30593494,0.30163258,0.29741192,0.29194477,0.28350797,0.27299014,0.26260424,0.25460753,0.24760401,0.24006772,0.23109557,0.22261335,0.21452542,0.20482118,0.19081765,0.17381535,0.15930784,0.15270792,0.15552801,0.16387819,0.1724873,0.17646074,0.17237663,0.15790133,0.13418624,0.107961945,0.08967096,0.08688486,0.09864035,0.115419,0.12677592,0.12842329,0.124766506,0.12381058,0.13045502,0.14330162,0.15627645,0.16442855,0.16653442,0.1649584,0.16121803,0.15478478,0.14398094,0.12913342,0.113024406,0.09981535,0.09286869,0.093611784,0.10081798,0.11192405,0.12498775,0.14153145,0.16681516,0.20715527,0.26483163,0.33057275,0.38679755,0.41413465,0.4098958,0.38485572,0.3587664,0.34008098,0.32858446,0.31701085,0.3031595,0.29040363,0.28784618,0.30453387,0.34196404,0.38788977,0.4207817,0.42402944,0.40146217,0.37230828,0.35483813,0.34764588,0.33588478,0.30691504,0.26583004,0.2307003,0.22051738,0.24343336,0.29406843,0.35415426,0.39926592,0.4099413,0.3850865,0.34121934,0.30017412,0.2720023,0.2522618,0.22935049,0.19567071,0.15404515,0.11852432,0.11049491,0.14527804,0.21753834,0.29797363,0.350557,0.3588443,0.3329238,0.29638588,0.26315865,0.23441772,0.20641364,0.1814524,0.16682227,0.16964419,0.19488649,0.24273801,0.30542192,0.3631487,0.39320716,0.38571265,0.3517189,0.3146623,0.29227674,0.28920627,0.299523,0.31489977,0.3293877,0.3420749,0.35915494,0.38802505,0.42886797,0.4677126,0.48604846,0.47491455,0.4428511,0.4053466,0.3725253,0.3432404,0.31382158,0.2830886,0.25701982,0.24383397,0.25373852,0.2887301,0.33819282,0.3771067,0.38417435,0.35655355,0.3121527,0.27177313,0.24273562,0.21818905,0.1879574,0.14988671,0.11217529,0.090155154,0.100250356,0.14782701,0.22001882,0.28609145,0.3195503,0.3146058,0.289973,0.26882136,0.263412,0.27094293,0.28189862,0.28706422,0.28261045,0.27279174,0.27105585,0.2892996,0.3270302,0.36457002,0.38042378,0.36752892,0.3405322,0.31858525,0.3091667,0.30507097,0.2955268,0.2787154,0.26318267,0.26208225,0.28403118,0.32527146,0.37033343,0.39858684,0.40055,0.38225898,0.35920036,0.33972713,0.31992927,0.29153407,0.25351444,0.21614985,0.19489996,0.20140834,0.23894155,0.2978345,0.35980037,0.4008732,0.40800616,0.38297763,0.3431059,0.30389515,0.27117616,0.23932956,0.20103745,0.1547332,0.10916378,0.08117386,0.09075644,0.1451868,0.23228824,0.31820092,0.37326553,0.3854486,0.36811545,0.3383373,0.30591163,0.2697832,0.22967637,0.19119239,0.16509686,0.16095895,0.18604685,0.23696578,0.2995942,0.34615865,0.35774353,0.33322927,0.29396963,0.2607291,0.24257047,0.23469067,0.22910766,0.22075196,0.20704027,0.18860586,0.16894011,0.15571178,0.15457673,0.16516721,0.17818117,0.18212314,0.17069793,0.14798824,0.12465743,0.10942656,0.104339324,0.10655149,0.11419439,0.12660748,0.14103347,0.15096594,0.14983712,0.13584216,0.11204829,0.08390412,0.05637488,0.03337803,0.017061086,0.007542022,0.0030917914,0.0014585779,0.0009329222,0.0007123803,0.0005516547,0.0004161514,0.00033046913,0.00075565133,0.0034654206,0.012904458,0.035564616,0.07676105,0.13472,0.19922705,0.25484034,0.28923452,0.2972257,0.28418612,0.2647762,0.2583797,0.27683756,0.31519338,0.35601965,0.38366687,0.39493814,0.39504752,0.3890967,0.37898734,0.3665848,0.35572708,0.34826997,0.34218386,0.3337169,0.32254884,0.31143343,0.3025988,0.296362,0.2926623,0.29159567,0.2897536,0.2806041,0.259354,0.23036551,0.20664619,0.20159137,0.21866913,0.24696176,0.26890245,0.27117544,0.25290486,0.22186925,0.18861578,0.16167073,0.148115,0.15030922,0.1636517,0.17542963,0.17464145,0.15855516,0.13649796,0.12220404,0.12691326,0.15214421,0.18881203,0.22222714,0.24163215,0.24647605,0.24414122,0.2416327,0.23996753,0.234396,0.22002442,0.19728304,0.17360471,0.16096604,0.16743259,0.19227266,0.22324021,0.24568625,0.25018725,0.23965101,0.22496422,0.21670915,0.21778016,0.22248591,0.22453159,0.22205888,0.21888794,0.21729457,0.2148778,0.20580673,0.18677491,0.16005652,0.1325837,0.112100996,0.104033865,0.108157,0.11852648,0.12461334,0.118552,0.099792756,0.07712767,0.062469307,0.06360292,0.07981148,0.1029577,0.12396381,0.13772918,0.1456543,0.15229227,0.16093503,0.17106438,0.17876102,0.18105131,0.17758268,0.17152415,0.16564156,0.1613368,0.15767719,0.15382023,0.14918812,0.14458042,0.14132352,0.14154623,0.1462133,0.15573327,0.16957603,0.18804906,0.20934749,0.23064677,0.24890207,0.26587537,0.28467563,0.30645064,0.32773796,0.34590945,0.36162046,0.3768824,0.39027655,0.39779416,0.39722142,0.39158973,0.38672113,0.3870463,0.39269018,0.4003079,0.4051069,0.40215835,0.38736448,0.35911858,0.32104832,0.28233,0.25218573,0.23436315,0.22574414,0.2240789,0.23030095,0.24608831,0.26621488,0.2811443,0.28334352,0.27274886,0.25394526,0.23224808,0.21156795,0.19534205,0.18451506,0.17681366,0.16582581,0.1473164,0.122122705,0.098386295,0.08481594,0.08519567,0.09458556,0.10335538,0.10481914,0.10005209,0.096379794,0.10020142,0.112841554,0.13198484,0.15578753,0.18353392,0.21289666,0.24027936,0.26453432,0.28835532,0.3132443,0.33578512,0.35121337,0.3602061,0.3679798,0.37733293,0.38425437,0.3823943,0.3689557,0.3461673,0.31703216,0.28266716,0.24448596,0.2089178,0.1895235,0.19925696,0.24053879,0.2979746,0.34666756,0.36612466,0.35203388,0.31557354,0.2744658,0.24436437,0.23213285,0.23606479,0.24875645,0.26382887,0.2778195,0.28823444,0.2914407,0.28452298,0.26946357,0.25240508,0.23943394,0.23185122,0.2268617,0.22132619,0.21469629,0.2082569,0.20225526,0.19496398,0.18446712,0.17116612,0.1581709,0.14964406,0.14873965,0.15646507,0.17094742,0.18866974,0.206055,0.2232573,0.24349563,0.27269012,0.3122451,0.35732082,0.3942314,0.41115686,0.40519798,0.3876994,0.37398732,0.37358722,0.38400003,0.3951774,0.3955904,0.3786756,0.34637487,0.31084207,0.2884078,0.28924912,0.30855095,0.33028337,0.3388035,0.32887307,0.3044132,0.2723875,0.23866503,0.20993513,0.19353892,0.1937449,0.2062332,0.22001368,0.22525255,0.22058517,0.2129104,0.21145628,0.22134584,0.2407098,0.26087245,0.2717851,0.2667008,0.24655198,0.2167428,0.18547511,0.15945292,0.1438973,0.13978939,0.14504233,0.15527682,0.16680287,0.1775666,0.1873976,0.19715853,0.20773041,0.21971624,0.23390466,0.25235298,0.27691594,0.30725655,0.33828366,0.36330914,0.37633148,0.37565508,0.3620232,0.3393083,0.31358314,0.29309753,0.2857091,0.2948149,0.3177381,0.34405681,0.36139372,0.35996127,0.3425301,0.3209974,0.31091774,0.31599292,0.32995355,0.34180853,0.34902024,0.35394517,0.35794804,0.3554242,0.33988032,0.31191063,0.2793775,0.25071335,0.22596674,0.2006818,0.17117941,0.14111753,0.115563214,0.0982101,0.088572316,0.0860154,0.08903429,0.09455573,0.09660884,0.09026423,0.07573738,0.059672784,0.05091567,0.054544467,0.07044125,0.096066095,0.13234836,0.18136732,0.24249484,0.30627504,0.3606268,0.3961669,0.41183242,0.4111112,0.40116563,0.3912923,0.39278087,0.41072845,0.44032928,0.46541223,0.47204983,0.45435286,0.41880575,0.373794,0.32616207,0.27979854,0.24090989,0.21811087,0.21718675,0.23576827,0.26249182,0.28426853,0.29219386,0.2867801,0.2751365,0.26827598,0.27224824,0.28694177,0.30438757,0.31658244,0.31560156,0.29845706,0.26598254,0.22723372,0.1969072,0.18954849,0.21095307,0.2529843,0.29994652,0.33688033,0.3572797,0.36022964,0.34632948,0.31743065,0.27942005,0.24525325,0.22740762,0.23173422,0.25174916,0.2762947,0.29574046,0.30680236,0.3096694,0.30565152,0.29712617,0.28746,0.28062236,0.27811417,0.27748433,0.27246308,0.2583641,0.23889466,0.22999288,0.24787615,0.29553235,0.35252014,0.3938705,0.40541568,0.395188,0.3760639,0.35502815,0.32774332,0.28858018,0.23796497,0.18443577,0.14111502,0.12017625,0.12734978,0.1588542,0.20080544,0.23642802,0.2537677,0.25224474,0.24139859,0.23381537,0.23871936,0.25503358,0.27513066,0.2877083,0.2866924,0.27126583,0.2465794,0.2193895,0.19550632,0.17727302,0.16421218,0.15526344,0.15053906,0.14946179,0.14947051,0.14539029,0.13405691,0.116519004,0.09935387,0.09050899,0.09456696,0.10885296,0.12372464,0.12900026,0.121158876,0.10670657,0.0974166,0.100257255,0.113513716,0.12943278,0.14688182,0.17477156,0.22707193,0.30732048,0.3986596,0.47153464,0.49967036,0.48162803,0.43619707,0.39121422,0.36067095,0.34352744,0.3278897,0.30356604,0.2677661,0.2293082,0.20655216,0.21934853,0.27016392,0.33890048,0.38986692,0.40459952,0.38957226,0.37112346,0.36315945,0.36191368,0.35179588,0.3275667,0.29884455,0.28505027,0.30075845,0.34736657,0.40828967,0.45712683,0.46919844,0.44065008,0.3885101,0.34107077,0.31566557,0.31297022,0.32090902,0.3251768,0.31692192,0.29652438,0.27793625,0.2807539,0.31559148,0.3712969,0.42072192,0.44380543,0.43979064,0.4255661,0.4147404,0.41083574,0.40598032,0.3940431,0.3751824,0.35964444,0.36017215,0.38482818,0.42649853,0.46570456,0.4799596,0.46214828,0.42184123,0.37778756,0.34019494,0.30843756,0.27479246,0.23477195,0.19185185,0.1597458,0.15846328,0.20138943,0.2806787,0.36440238,0.41612458,0.42058328,0.3918716,0.3562088,0.32871386,0.30756482,0.28513405,0.26110008,0.24390505,0.24476703,0.2705358,0.3192426,0.376518,0.41983697,0.4298803,0.40616408,0.36598524,0.33211565,0.31415656,0.30650425,0.29511464,0.27012894,0.233151,0.1984346,0.18792792,0.21628004,0.2783896,0.34625363,0.38699174,0.38483188,0.34991682,0.30721247,0.27644062,0.2628768,0.25757384,0.24765676,0.2264102,0.20162469,0.1937594,0.22056596,0.27989188,0.3460538,0.3886162,0.39575133,0.3796083,0.36173686,0.35325345,0.35041428,0.34277868,0.32646108,0.30947557,0.30639172,0.32740876,0.36964783,0.4182503,0.45435503,0.46644056,0.45687446,0.43869784,0.42469665,0.41689768,0.4069394,0.3842008,0.3455199,0.29927328,0.26289117,0.2562959,0.2883724,0.3486714,0.40742147,0.43571553,0.42316338,0.3834935,0.33906546,0.3042926,0.28064996,0.26314053,0.25012377,0.24523978,0.25414845,0.2806412,0.32304618,0.3744123,0.41904747,0.4417452,0.43528512,0.40983906,0.3828474,0.36726967,0.36280334,0.36030582,0.3519037,0.3380399,0.32907608,0.33769336,0.36694297,0.40283427,0.41969335,0.40017176,0.34912288,0.29058215,0.24763595,0.22699656,0.2202518,0.21563989,0.20912611,0.20528291,0.21326865,0.24089885,0.2877115,0.3418888,0.3813571,0.38912952,0.36457407,0.32628345,0.29605228,0.2842091,0.28490493,0.2831103,0.2670683,0.23730712,0.21002774,0.20920314,0.2465605,0.30988005,0.36488244,0.38481927,0.36659256,0.3323991,0.30360392,0.28647515,0.2715086,0.24760877,0.21255712,0.17563595,0.15356529,0.16340166,0.20815621,0.27171025,0.320611,0.3316057,0.30441645,0.26407436,0.23415516,0.22250992,0.21934034,0.213151,0.20439444,0.20773269,0.24186744,0.31387645,0.4084489,0.4949653,0.5423701,0.5410824,0.5031157,0.45348608,0.40847394,0.37014115,0.3300761,0.28177834,0.22708757,0.17695822,0.14742158,0.15430652,0.19920386,0.2651861,0.31847024,0.3372012,0.32251054,0.29976466,0.2903709,0.3006376,0.31974414,0.33501115,0.339249,0.3359301,0.33430028,0.3473052,0.3785425,0.42160216,0.45628282,0.46930483,0.45864496,0.43879804,0.42157724,0.41164783,0.4040744,0.39350072,0.37602022,0.35247794,0.32951677,0.32153523,0.33853427,0.3771753,0.41440633,0.4287854,0.41377255,0.3852835,0.3623905,0.35408673,0.35429764,0.35094556,0.33797154,0.3206048,0.31318977,0.330191,0.3716807,0.4225012,0.45469522,0.45378947,0.42242244,0.38237736,0.34892762,0.3266541,0.3090249,0.29316816,0.28222704,0.28474757,0.30652747,0.34891692,0.4002479,0.44233358,0.45469442,0.43825802,0.41053855,0.39684644,0.4011819,0.4088514,0.39886245,0.36717877,0.32803512,0.30332753,0.30663273,0.34002158,0.39242128,0.44752613,0.48276433,0.48768362,0.4645506,0.43263087,0.40532526,0.38592306,0.3668293,0.34351978,0.31863073,0.30080977,0.29927552,0.32081985,0.3606592,0.40337548,0.42376506,0.41106594,0.37156752,0.3290491,0.2994462,0.2860714,0.27975988,0.2718319,0.2594406,0.2480468,0.24820812,0.2714382,0.31612036,0.3678684,0.40135622,0.40751728,0.39324716,0.37973246,0.37697986,0.38440666,0.39396548,0.40003872,0.40048942,0.3964202,0.39514604,0.40711784,0.435789,0.47101316,0.4915595,0.48581764,0.45754895,0.42542395,0.40308797,0.39456388,0.39272353,0.38927352,0.37912682,0.36575484,0.3588307,0.37077498,0.4021621,0.44129696,0.46493673,0.46297875,0.43939355,0.41326138,0.39490867,0.3852627,0.37478006,0.35619673,0.32677805,0.29361904,0.27152005,0.27829194,0.31667075,0.36998066,0.40632224,0.40895763,0.38295627,0.3525226,0.33253875,0.32264432,0.31045592,0.28698653,0.2534306,0.22114487,0.20834465,0.23049293,0.28605473,0.3513517,0.39048263,0.38510898,0.34349927,0.29394016,0.256884,0.23854391,0.23330085,0.23499157,0.23750103,0.23482536,0.22177841,0.19886999,0.17214002,0.15089963,0.1388718,0.13361675,0.12751062,0.11792224,0.10824779,0.105949074,0.11355231,0.12671891,0.13886203,0.1502822,0.17131871,0.21458565,0.27767286,0.33892855,0.3674864,0.3523916,0.30714616,0.26071438,0.22863364,0.20951264,0.19082491,0.1660044,0.13845082,0.121039905,0.12916265,0.1727155,0.24451597,0.32103482,0.37272632,0.38758767,0.3734356,0.35049805,0.33057663,0.3157337,0.30174616,0.28676036,0.27324402,0.26815292,0.28074175,0.31541085,0.3634015,0.40414283,0.41666043,0.39724362,0.35903504,0.32235277,0.29756305,0.2839439,0.27405825,0.2619763,0.24800755,0.23976807,0.25019416,0.28647003,0.3408594,0.39077726,0.41378787,0.4055169,0.3798022,0.35616782,0.3411038,0.32918563,0.3107215,0.28468606,0.25843528,0.24478513,0.25418857,0.2893608,0.33930358,0.3826138,0.39812353,0.3809522,0.3437178,0.30735922,0.28450847,0.27552423,0.27162156,0.2636906,0.24930972,0.23583792,0.23834021,0.2672592,0.31715387,0.36524972,0.38759124,0.37788948,0.3498989,0.32339418,0.30668083,0.29554185,0.28116348,0.26031244,0.23769343,0.22504438,0.23592906,0.27612424,0.3350161,0.38706705,0.40847263,0.39404118,0.35877752,0.32242373,0.29366708,0.2692999,0.24350715,0.21718214,0.1985206,0.1984057,0.22453482,0.2741517,0.33231303,0.3750935,0.38550243,0.3638493,0.32842994,0.299001,0.28282595,0.27244064,0.25666794,0.23299567,0.21096092,0.20641612,0.23170324,0.28600988,0.35252866,0.4035718,0.4178746,0.3944477,0.35247955,0.314055,0.28708124,0.26444754,0.23519288,0.19707747,0.15918405,0.13767867,0.14859529,0.19538827,0.26287255,0.31905058,0.3383889,0.31815648,0.28026226,0.24938326,0.23510383,0.22988462,0.22004567,0.1990847,0.17222005,0.15543348,0.16792999,0.2179418,0.29478976,0.3684237,0.41244987,0.41842556,0.4016974,0.38140813,0.3677224,0.3576064,0.34454605,0.32642415,0.30850145,0.3012686,0.31569037,0.35374263,0.404438,0.44460845,0.45706174,0.43985307,0.40888122,0.3794742,0.3573228,0.33679673,0.31225348,0.28391862,0.26002112,0.2521635,0.2713914,0.31634128,0.3714082,0.40823936,0.41023207,0.38058177,0.34309387,0.31709942,0.3081051,0.30646476,0.3011774,0.28694436,0.26832202,0.25703037,0.26794937,0.3058753,0.36036456,0.4049779,0.41998038,0.40264598,0.37143192,0.34433138,0.32851195,0.31731167,0.3022711,0.28122714,0.26159388,0.25652066,0.27864432,0.32749638,0.3865955,0.4264077,0.42889717,0.39700618,0.35512868,0.32476762,0.3137562,0.31421724,0.31494156,0.308529,0.2969134,0.289982,0.30243585,0.33892223,0.3893294,0.42852333,0.4401499,0.42372593,0.3964453,0.37156713,0.35326597,0.3361213,0.31653154,0.29480144,0.2771344,0.2719524,0.28945252,0.3291874,0.379082,0.41368696,0.41828343,0.39353836,0.35903695,0.3306817,0.31417397,0.30249712,0.28689227,0.26440862,0.24093999,0.22923243,0.2429927,0.28587693,0.3478581,0.40455484,0.43733835,0.44067764,0.42802274,0.41363862,0.4054353,0.39964414,0.38891205,0.36826214,0.3420136,0.3232895,0.3300817,0.36683464,0.4201307,0.45763847,0.45928803,0.42500782,0.37886593,0.33959863,0.3136434,0.29352227,0.27405393,0.25683913,0.25083894,0.26601383,0.3086692,0.37080982,0.43135417,0.46144438,0.44968688,0.40648946,0.3604913,0.33258724,0.32759237,0.33482125,0.34063792,0.3369368,0.3258371,0.31902418,0.33236063,0.36952046,0.41717324,0.4461558,0.43990946,0.40165094,0.35542306,0.3196222,0.300217,0.28981647,0.28008154,0.26654637,0.2521617,0.2465177,0.26343432,0.30639043,0.36319622,0.4051719,0.41435075,0.3921089,0.36194012,0.34302053,0.34154543,0.34875083,0.35460064,0.3546083,0.35262153,0.35758153,0.37873912,0.41439867,0.45116428,0.4666326,0.45224187,0.41584286,0.38104555,0.36376408,0.36805817,0.3846415,0.40268087,0.4148252,0.42186514,0.4309932,0.45040378,0.47758248,0.49887952,0.49541238,0.4635801,0.41509584,0.37214902,0.34641913,0.33705452,0.3321683,0.32092246,0.29992795,0.27730644,0.2695247,0.29191437,0.3428515,0.4011133,0.4339787,0.42633262,0.38667914,0.34311068,0.31431392,0.30240345,0.29374805,0.27562374,0.24525537,0.2138726,0.20099263,0.22314243,0.27736902,0.34014443,0.37739718,0.37419686,0.33993912,0.3023082,0.27838048,0.2684077,0.2584825,0.23737037,0.20440744,0.17223036,0.16150285,0.19073467,0.26113772,0.35161826,0.4262855,0.4607706,0.45413545,0.4274516,0.40079233,0.382327,0.3675263,0.35039186,0.3317307,0.320196,0.32860363,0.36465964,0.42361963,0.48759472,0.53463566,0.55413944,0.55082613,0.539145,0.5289192,0.5218289,0.51435536,0.50473624,0.49462685,0.48797476,0.4893956,0.50141543,0.5196786,0.53144866,0.52168655,0.4865755,0.43811202,0.3981091,0.38254824,0.3934691,0.41904128,0.44196776,0.4508803,0.44717708,0.44448623,0.45536208,0.47935954,0.50110334,0.5038812,0.48480543,0.45625043,0.43483663,0.42795774,0.4313706,0.43436566,0.42724583,0.40764713,0.38324037,0.36953017,0.37876365,0.40701604,0.43359008,0.43454802,0.40428996,0.3569046,0.31454304,0.28671739,0.26965854,0.25378805,0.23615257,0.22185798,0.22095232,0.24260657,0.288273,0.346679,0.39629292,0.41824695,0.4108232,0.38891098,0.37201187,0.36864957,0.37627932,0.38639677,0.39384794,0.3983194,0.40605423,0.42580524,0.4623425,0.5075073,0.5412436,0.54432625,0.51492494,0.47035334,0.4342421,0.4185389,0.4198731,0.4259322,0.42785224,0.42543694,0.42663887,0.44080332,0.4689789,0.4998269,0.5133643,0.49610427,0.450542,0.3943175,0.34627533,0.31484926,0.29504278,0.27492967,0.245122,0.2050299,0.1626641,0.12872885,0.11073113,0.1093435,0.11952416,0.1320858,0.13937734,0.13779281,0.12971985,0.1189742,0.1085859,0.0991297,0.09070461,0.08345463,0.07771889,0.07349294,0.07041273,0.06799548,0.06581913,0.06366241,0.061555177,0.0596537,0.05807735,0.056673665,0.055194642,0.053463046,0.05162467,0.049977858,0.048841033,0.04833299,0.048388865,0.048684105,0.048737172,0.048005342,0.04617205,0.04331244,0.040010817,0.03721716,0.03590015]