[0.24453728,0.23866165,0.22277819,0.19616212,0.16559409,0.13860042,0.120301045,0.10908789,0.104842134,0.10970358,0.12645437,0.15077396,0.17359574,0.18638259,0.18823262,0.18357773,0.17777024,0.17224099,0.16464336,0.15103777,0.12951733,0.10232964,0.075513706,0.055158745,0.044083267,0.040753845,0.042723347,0.05015098,0.06771284,0.09998742,0.14615501,0.19624151,0.23716076,0.2600129,0.2658734,0.2618184,0.25536093,0.2498795,0.24551342,0.24156694,0.23816293,0.23616004,0.23593055,0.23701137,0.23827581,0.23875193,0.2380048,0.23635267,0.23490334,0.23490025,0.23665583,0.23846804,0.2372396,0.2304525,0.21818496,0.20313193,0.18945675,0.18125011,0.18242921,0.19419575,0.21397346,0.23393495,0.24694435,0.24962813,0.24527217,0.2384723,0.2330374,0.2298579,0.22949024,0.23219152,0.23815465,0.24600184,0.2531729,0.25647172,0.25390884,0.24540536,0.23316956,0.22050495,0.21064073,0.20541304,0.20485838,0.20742624,0.21075378,0.21289735,0.21290898,0.21114701,0.20836382,0.20543508,0.20285147,0.20101948,0.19983602,0.19886911,0.1976537,0.19680531,0.19762392,0.2010653,0.20606731,0.21066587,0.21404827,0.21829426,0.22676735,0.24055906,0.25676998,0.26977912,0.2756516,0.27391037,0.26716265,0.25767222,0.2464357,0.23374455,0.22137447,0.21217865,0.20802663,0.20783132,0.20843025,0.20713459,0.20328398,0.19745414,0.19064192,0.18389939,0.17893481,0.17673038,0.17689425,0.17766322,0.17785572,0.17757793,0.17746079,0.17760462,0.17783028,0.179115,0.18355642,0.19253945,0.20435007,0.2147075,0.21963966,0.21833801,0.21280377,0.2058009,0.19958527,0.19627856,0.198012,0.2052511,0.21544474,0.22329806,0.22389005,0.21531864,0.20043617,0.18532997,0.17687368,0.17914926,0.19214511,0.21179879,0.23236346,0.24852467,0.25729704,0.25812268,0.252152,0.24116494,0.22723778,0.21267448,0.19939113,0.1879351,0.17703778,0.16531076,0.15353203,0.14580251,0.14675482,0.15792723,0.1758049,0.19489963,0.21087174,0.22220182,0.22805512,0.22803015,0.22222094,0.21249394,0.20088999,0.18922456,0.17874742,0.1717158,0.16977833,0.17250998,0.17608131,0.1766876,0.17361636,0.16979451,0.16887681,0.17254166,0.18111463,0.19411218,0.20997415,0.22483797,0.23337953,0.23223786,0.22148688,0.20466842,0.18549152,0.16726391,0.15283687,0.14650773,0.15208356,0.17010753,0.19447343,0.21565334,0.2255286,0.2227063,0.21084388,0.19599862,0.18341915,0.17827515,0.18418413,0.20217575,0.22752255,0.2529764,0.27109548,0.27985,0.28005293,0.27507973,0.26667213,0.25751248,0.249905,0.2465875,0.24690409,0.24791674,0.24535488,0.23784494,0.22635077,0.21393931,0.20313106,0.19675611,0.19624656,0.20169216,0.20960246,0.2159368,0.2174052,0.21464367,0.20921022,0.20330697,0.19797398,0.19603126,0.20052023,0.21343404,0.2313811,0.24740767,0.25412464,0.24948905,0.23630422,0.22082232,0.20877804,0.20593983,0.21576625,0.23858078,0.26798615,0.29469952,0.31002852,0.31207165,0.3033264,0.28917065,0.2726023,0.25568262,0.23868997,0.22326158,0.21061035,0.2020889,0.1969083,0.19355507,0.18983448,0.18489496,0.17941998,0.17735445,0.18363649,0.20195262,0.22894104,0.2565933,0.27464277,0.27885884,0.2694633,0.25164405,0.23016198,0.21111925,0.19894457,0.19629596,0.2006929,0.20706165,0.21055484,0.20982341,0.20608877,0.20121254,0.1972875,0.19716543,0.20402735,0.21825768,0.2357604,0.2497716,0.2555215,0.25279918,0.24486788,0.23555744,0.22794269,0.22440904,0.2263153,0.2327043,0.2396635,0.24228482,0.23752944,0.22605813,0.2114594,0.19873835,0.19307409,0.19882579,0.21749057,0.24565339,0.27487814,0.29557836,0.3019044,0.2947023,0.27949646,0.2636005,0.25270638,0.25056842,0.25643373,0.26677826,0.27560377,0.28009725,0.2797716,0.27723035,0.2734184,0.26854625,0.26169792,0.25477746,0.25161174,0.256231,0.26762256,0.2802544,0.28709337,0.28511167,0.27512646,0.2599353,0.24165769,0.22322857,0.20955427,0.2064919,0.21622239,0.23450224,0.25295672,0.2651364,0.26967725,0.26954773,0.26738417,0.2645737,0.2604535,0.25566068,0.25114015,0.2485529,0.24762623,0.24768756,0.24827422,0.2502618,0.2542091,0.25950667,0.26454648,0.26811895,0.2700176,0.27118096,0.27262774,0.27518407,0.27832687,0.28117323,0.2825662,0.28263226,0.2819762,0.2811016,0.2790618,0.27400678,0.2648265,0.25224912,0.23853268,0.22582556,0.21576045,0.20953752,0.20792346,0.2103709,0.21497427,0.21962494,0.22331733,0.22615732,0.22861208,0.23104869,0.23379527,0.2373143,0.24189758,0.24685591,0.24980907,0.2469914,0.23618871,0.21896018,0.20088993,0.18718266,0.18010573,0.1787681,0.18304999,0.19383359,0.21145864,0.2321506,0.25005138,0.26049212,0.2633666,0.26164794,0.25897884,0.2581931,0.26093093,0.26683632,0.27201417,0.27021906,0.2571059,0.23407374,0.20784461,0.18541819,0.1705172,0.16328521,0.16330014,0.17045625,0.18421952,0.20197386,0.21978022,0.23426086,0.24403131,0.24934606,0.25113118,0.25094667,0.25146163,0.25558034,0.26456,0.27623245,0.28683797,0.29323313,0.29496935,0.29231408,0.28544697,0.2742814,0.26099032,0.2490251,0.24128157,0.23713611,0.234699,0.23248692,0.23095888,0.23024297,0.22988904,0.22960167,0.22984152,0.23129117,0.23325159,0.2347107,0.2346582,0.23336832,0.23150522,0.23027585,0.23057942,0.23268712,0.23611872,0.23983176,0.2428421,0.2435736,0.24048185,0.23231171,0.2197582,0.20490558,0.19088726,0.18098237,0.17904906,0.18817563,0.20832168,0.23435931,0.25861856,0.2752643,0.28305045,0.28338742,0.27779123,0.26787743,0.25683647,0.24914218,0.2468193,0.24756831,0.2467158,0.24272846,0.23904711,0.24077801,0.24927439,0.2610912,0.2723453,0.28230146,0.29284582,0.30377412,0.3113755,0.31086048,0.30136386,0.28709626,0.2744981,0.26791,0.26847222,0.27550447,0.28792262,0.30313003,0.3169757,0.32518217,0.32632184,0.32181135,0.31420168,0.30518195,0.29558626,0.28656736,0.27969632,0.27602485,0.2743114,0.27159572,0.26513425,0.25488183,0.24333508,0.23398884,0.22952999,0.23156495,0.24006061,0.25295287,0.2654508,0.2724466,0.2710466,0.2634929,0.2551902,0.2521287,0.2567581,0.26797643,0.281445,0.29259923,0.29789063,0.29694998,0.2912769,0.28321669,0.27356353,0.26342,0.2555163,0.25509423,0.26530883,0.2837588,0.3019574,0.3113575,0.30878118,0.2984223,0.28802416,0.2839277,0.28795266,0.29693604,0.305704,0.30954424,0.3075365,0.30071238,0.290939,0.27805665,0.26208064,0.2444426,0.22962312,0.22294807,0.22753946,0.24159427,0.2588181,0.27228388,0.27805582,0.27602673,0.2678269,0.25611553,0.24570142,0.24311118,0.2526579,0.27188447,0.29284748,0.30707288,0.31079328,0.30436346,0.291373,0.27667427,0.26697385,0.2671355,0.2777358,0.29273984,0.30357262,0.3040302,0.2946384,0.28156123,0.27220717,0.27021334,0.27424031,0.2799475,0.28383943,0.28453466,0.28328452,0.28213963,0.28340623,0.28714055,0.29154587,0.29302797,0.28997543,0.28300706,0.27530718,0.26913723,0.2653909,0.26301572,0.2611407,0.2592435,0.25768602,0.2566775,0.25661564,0.25775608,0.26024023,0.26330578,0.26534855,0.26503083,0.2624718,0.25927413,0.25704423,0.25600496,0.25529948,0.25399518,0.25213268,0.249934,0.24733709,0.24374355,0.23902023,0.23365825,0.22862405,0.22510356,0.22474547,0.22924387,0.23813806,0.24760966,0.25148827,0.24625933,0.23329283,0.2182259,0.20582879,0.19844519,0.19647901,0.20110118,0.21310307,0.23070498,0.24858367,0.260648,0.26406863,0.25994012,0.2522271,0.24452315,0.24015082,0.24094613,0.24752735,0.2575791,0.26660013,0.2700124,0.2657961,0.25553414,0.24218118,0.22889632,0.21819837,0.2134818,0.21667856,0.2264239,0.23616749,0.23919915,0.23277785,0.22036272,0.2064017,0.1925714,0.17669515,0.15729211,0.13580282,0.11626776,0.10107952,0.089762084,0.08016494,0.07205582,0.06737512,0.068232715,0.07434866,0.083391435,0.09285804,0.10146465,0.1087026,0.113716125,0.114580035,0.109351374,0.09773006,0.08278534,0.06955902,0.06243691,0.061990846,0.06544358,0.06861215,0.06847865,0.06387495,0.055318546,0.0450177,0.036239907,0.0323215,0.03428906,0.040427566,0.047112927,0.051318232,0.05144982,0.047276426,0.0393059,0.029077822,0.019459119,0.014229204,0.016636098,0.027779788,0.045232426,0.063797064,0.07726506,0.082200795,0.078931026,0.07148083,0.06374145,0.05781488,0.052900717,0.047555465,0.040887907,0.033682648,0.027527625,0.023787575,0.02220668,0.02124928,0.019836903,0.019621417,0.024334388,0.037037086,0.056547474,0.077274024,0.09155803,0.09397703,0.084270895,0.06758901,0.05181402,0.043348316,0.04438738,0.052500647,0.06276392,0.07039621,0.072766244,0.06999367,0.0644924,0.060081188,0.06390171,0.08609587,0.13935588,0.22409473,0.32555106,0.41162565,0.46114764,0.46995565,0.4575243,0.44186887,0.43454567,0.4345026,0.43837485,0.44303367,0.4465877,0.44735405,0.442422,0.43123946,0.41563138,0.40161538,0.39509058,0.40064874,0.41713357,0.43723246,0.44880688,0.44274974,0.4195013,0.38820013,0.35717872,0.3273957,0.2973512,0.27378213,0.2751937,0.31402886,0.3830503,0.4499507,0.48688367,0.48541364,0.46443084,0.44498715,0.43887183,0.44287872,0.4478811,0.443763,0.42236042,0.3830228,0.33692798,0.308295,0.31836584,0.3697169,0.4367151,0.4856256,0.49636984,0.4771098,0.4500192,0.4334154,0.43081248,0.43555066,0.43952513,0.43582892,0.42046237,0.3932217,0.36521158,0.3522389,0.36547086,0.3948855,0.420688,0.42642692,0.41697598,0.4060694,0.40557814,0.41352555,0.42246678,0.42500767,0.41780373,0.3998525,0.3738017,0.35208902,0.35067967,0.37869,0.4214749,0.45298398,0.4528781,0.4260958,0.3923845,0.37024012,0.36479124,0.37083778,0.381538,0.3893615,0.3881882,0.37408924,0.3559668,0.35012695,0.36940274,0.40518627,0.43675706,0.44997624,0.45013085,0.449666,0.44998398,0.4414525,0.41870666,0.38886654,0.3653588,0.3520889,0.34776458,0.3515886,0.37027028,0.4044315,0.44234166,0.46582946,0.46889067,0.46141103,0.45655286,0.45473182,0.448272,0.43612948,0.42766607,0.43087116,0.43847606,0.437518,0.42423,0.4095032,0.4045291,0.4063928,0.4024736,0.38235405,0.347658,0.30771628,0.27237013,0.2473349,0.23263204,0.22529049,0.2208503,0.21668972,0.21159197,0.20624049,0.20170926,0.19948399,0.20057303,0.20631623,0.21908855,0.24011616,0.26641443,0.2881864,0.29552934,0.28474307,0.26281887,0.23994295,0.22330172,0.21302468,0.20654352,0.20171012,0.19812162,0.19572897,0.19389708,0.19261481,0.19235633,0.19411142,0.1989736,0.21071494,0.23729782,0.2855125,0.35188034,0.41826057,0.46178594,0.47139096,0.45409092,0.42864278,0.4089093,0.39919758,0.39457953,0.39110902,0.3876612,0.38681117,0.38969883,0.39493588,0.3984468,0.39699078,0.39075494,0.38488147,0.38677916,0.4006705,0.42221546,0.43957892,0.44319037,0.43635345,0.43578944,0.45381257,0.48409295,0.5028673,0.49642405,0.47510174,0.46413362,0.47558355,0.49650517,0.5062941,0.4937065,0.46703103,0.4385142,0.41850737,0.4072256,0.39991924,0.38700807,0.36008367,0.31920448,0.2789769,0.2654915,0.29567418,0.36329785,0.436154,0.48309383,0.490301,0.469659,0.440805,0.4198642,0.41077182,0.40754974,0.39842245,0.3719243,0.3267322,0.27694315,0.24957883,0.2652435,0.32169405,0.3909051,0.4413433,0.45765045,0.44701648,0.42563024,0.4073995,0.3984718,0.39830306,0.4000895,0.3937849,0.37189534,0.3349078,0.29056284,0.24692358,0.20718221,0.17042251,0.13808276,0.114984296,0.105440415,0.10650704,0.10985912,0.10760761,0.09897531,0.08925602,0.084777154,0.08730201,0.09294057,0.09631746,0.09498391,0.09139174,0.08949378,0.0915361,0.095941,0.09879101,0.09633971,0.0880982,0.07812994,0.072175555,0.07364604,0.080283105,0.08740139,0.091138355,0.09170547,0.09065393,0.089394815,0.087808274,0.08680347,0.088361286,0.09488685,0.10543298,0.116380155,0.12291464,0.12365269,0.120233305,0.116323315,0.113956936,0.11286191,0.111070454,0.10745112,0.10316709,0.100698195,0.101591386,0.10509527,0.10917217,0.11211441,0.11341244,0.11344052,0.11306285,0.11293889,0.11295012,0.11180239,0.10845736,0.10371963,0.100515164,0.1011185,0.10485121,0.10861642,0.11023275,0.11042077,0.11154148,0.11490225,0.11963523,0.12362331,0.12542252,0.124726176,0.12256131,0.11984346,0.117387265,0.11520807,0.11340546,0.11208055,0.11156598,0.11233338,0.11467692,0.11957649,0.13036902,0.15532656,0.20512109,0.28274417,0.37332585,0.4477756,0.4815534,0.47340235,0.44180167,0.41006684,0.38883844,0.3792777,0.3768659,0.3793911,0.38444534,0.3903068,0.39567733,0.40084383,0.40720782,0.41422,0.41990486,0.42231032,0.4238248,0.4280417,0.43585408,0.44249654,0.44499862,0.44862485,0.46476516,0.49812922,0.53964144,0.5722694,0.58589,0.58046764,0.56276804,0.53689545,0.50694513,0.47690192,0.4521823,0.43551072,0.42710105,0.4256207,0.42891887,0.43235514,0.42921725,0.4150122,0.3939018,0.3792504,0.38402215,0.41029474,0.44494426,0.47191885,0.48202386,0.4788638,0.46965778,0.4603347,0.45215598,0.44455102,0.43506315,0.41861176,0.3911899,0.35591793,0.32804832,0.32585403,0.35571072,0.40417302,0.44760904,0.47107884,0.47463167,0.46829674,0.45990634,0.4531695,0.44824907,0.44435775,0.43913117,0.43096927,0.42179477,0.41906452,0.429865,0.45405197,0.4801985,0.4936254,0.48646304,0.46293446,0.43394867,0.4098327,0.39599356,0.39334705,0.39805624,0.40204915,0.39550734,0.3754523,0.3523407,0.3464953,0.3699799,0.4133205,0.45104042,0.46667054,0.46558487,0.46470213,0.4697943,0.47003675,0.45405197,0.42288974,0.38860786,0.35900977,0.3371359,0.3269534,0.3389679,0.37644842,0.42533588,0.4591113,0.46412945,0.4512411,0.44341686,0.44920373,0.45710325,0.45449746,0.44567838,0.4454131,0.45759043,0.468568,0.4651067,0.4515507,0.4449172,0.4528258,0.4622196,0.45293435,0.41603413,0.36204156,0.30851635,0.26895908,0.24629414,0.23695283,0.23479919,0.23460567,0.23322959,0.23017861,0.22703469,0.22576207,0.2275704,0.23345743,0.24589355,0.26709172,0.29566073,0.32471606,0.3477473,0.36329713,0.37518814,0.38459018,0.3887171,0.3835546,0.36988235,0.35078004,0.32897303,0.30612913,0.28610078,0.27455977,0.27481464,0.2837639,0.29406485,0.3010843,0.30967936,0.33215263,0.37540087,0.43141183,0.4773004,0.4954089,0.4833248,0.4573969,0.43531942,0.42813745,0.43454504,0.4463102,0.4523959,0.44484076,0.42299175,0.39494434,0.372291,0.3633233,0.36685607,0.37654385,0.3858247,0.39461467,0.4045575,0.4165611,0.42748547,0.43681037,0.44827056,0.46610713,0.48682502,0.49823424,0.49271896,0.47644266,0.46649897,0.47235522,0.48756945,0.49697188,0.4921225,0.475332,0.4542301,0.4343916,0.41969356,0.41124475,0.4072341,0.40164003,0.39139795,0.3809589,0.3827571,0.40419865,0.4404948,0.4734955,0.48755705,0.47773865,0.45306897,0.42617425,0.40737274,0.40008715,0.4018298,0.40604115,0.40613082,0.40044105,0.39373592,0.39564297,0.41240525,0.44200823,0.4721022,0.48909318,0.48561585,0.46549508,0.43912265,0.41784546,0.4081323,0.40942404,0.41396618,0.41116175,0.39513245,0.3716906,0.3580065,0.3695108,0.4064753,0.45002934,0.47835353,0.4819666,0.4688281,0.45234117,0.44114578,0.43515134,0.42910168,0.41515744,0.38576248,0.33930734,0.28646833,0.2511795,0.25452113,0.29724696,0.35313845,0.39217725,0.40496138,0.4077362,0.41992208,0.44255424,0.46155962,0.46520078,0.45537183,0.44087526,0.42559528,0.40845546,0.38765827,0.3668828,0.34992433,0.33805788,0.32907292,0.32185706,0.31853938,0.32107696,0.32821903,0.33466336,0.33680102,0.3337542,0.32696858,0.31674242,0.307061,0.307488,0.3291073,0.37223887,0.4219379,0.458353,0.47072625,0.46334866,0.4470581,0.43117854,0.41958594,0.41328773,0.4111705,0.40989065,0.405363,0.39735746,0.39376834,0.40557256,0.4365418,0.47590747,0.5051431,0.51213944,0.49884543,0.47790372,0.4611874,0.4542414,0.45509985,0.45853817,0.4584802,0.45116708,0.43822727,0.42882678,0.43438688,0.45849097,0.49036896,0.5117703,0.51145416,0.4919313,0.46563146,0.44263902,0.42753944,0.41770163,0.40970668,0.3995857,0.3872845,0.37351564,0.36012724,0.3463838,0.3314669,0.31432238,0.29569748,0.2767155,0.25900918,0.24403323,0.23309655,0.22691494,0.2250719,0.22610722,0.22808315,0.22960012,0.23019564,0.23008223,0.22969298,0.22934395,0.2292666,0.22974972,0.23101501,0.23299527,0.23476322,0.23530279,0.23412973,0.23217511,0.23070316,0.23063694,0.23189206,0.23385222,0.2358983,0.23770629,0.23959433,0.2417106,0.24373575,0.24434607,0.24244034,0.23793478,0.23213655,0.22662933,0.2222151,0.21869151,0.21551315,0.2123835,0.20948118,0.20720719,0.20618372,0.20653534,0.2078922,0.20910788,0.20962782,0.20930493,0.2087763,0.20808381,0.20732193,0.20632936,0.20550495,0.20512104,0.2054439,0.20642005,0.207758,0.20894545,0.20934917,0.20879127,0.20749237,0.20604032,0.20480692,0.20404764,0.20391601,0.20445104,0.20530213,0.20557846,0.20428962,0.20101602,0.19633168,0.19154279,0.18767063,0.18504876,0.18326563,0.18211126,0.18157922,0.18187235,0.18279757,0.18397035,0.18497603,0.18557197,0.18565343,0.18513726,0.18425769,0.18350445,0.18362941,0.18489538,0.1868936,0.18863553,0.18949266,0.18973456,0.19028999,0.19199868,0.19482513,0.19804592,0.20045294,0.20134151,0.20057179,0.1987897,0.19633369,0.19322695,0.18903305,0.18380354,0.17786284,0.17204271,0.16723414,0.16451156,0.1643401,0.1664477,0.17003697,0.17479034,0.18106581,0.1890791,0.19773322,0.20443237,0.20619029,0.20116799,0.18960677,0.17415352,0.16037448,0.15537415,0.16533864,0.18988746,0.22125424,0.24604507,0.25276354,0.23667799,0.20180118,0.15886079,0.12069104,0.09920599,0.10233753,0.13120942,0.17792718,0.22602975,0.26001036,0.27295074,0.27055618,0.26266083,0.2562432,0.25166634,0.2468624,0.24092446,0.23542674,0.23215063,0.23115282,0.23081659,0.22978365,0.22840922,0.23043184,0.24367444,0.27915242,0.3419491,0.4231322,0.49993578,0.55054134,0.56800455,0.55960435,0.53843457,0.51338434,0.49143708,0.47574627,0.46781245,0.4649893,0.46578038,0.4712503,0.48573175,0.5101216,0.5378832,0.55689573,0.5589342,0.5464713,0.52853984,0.51267546,0.49986506,0.48884463,0.47914478,0.47187528,0.4672842,0.46567833,0.4692191,0.48310292,0.5097986,0.54346246,0.56805325,0.5699091,0.5479729,0.51686597,0.49172807,0.47886446,0.47230196,0.46324357,0.44325098,0.40811625,0.35756788,0.29779944,0.23820476,0.18733977,0.14868729,0.12161246,0.10431844,0.096854925,0.101412915,0.11925828,0.14753719,0.17836119,0.20336233,0.21791168,0.22317953,0.2229784,0.22137798,0.22109057,0.22398752,0.2304823,0.2392527,0.2473857,0.2518811,0.25086954,0.24410331,0.2326972,0.21919508,0.20761959,0.20262949,0.20676182,0.21849495,0.23244323,0.24359961,0.24990498,0.25310922,0.2557239,0.26092842,0.27268752,0.29692438,0.33636558,0.38712367,0.43692443,0.47423795,0.4935596,0.49883774,0.4965241,0.49381563,0.49638662,0.50962543,0.53281,0.55916196,0.57695556,0.58156914,0.5756507,0.5683367,0.5639705,0.56208473,0.5611524,0.56354135,0.57326597,0.5875288,0.59371823,0.5793596,0.5415953,0.49515733,0.45689738,0.43818358,0.43509212,0.43990448,0.4461259,0.4530042,0.46069995,0.46810746,0.4731249,0.4745059,0.47229764,0.46660984,0.45678917,0.439979,0.413062,0.3740087,0.32697952,0.27996963,0.2421212,0.21658866,0.20135419,0.1913919,0.18338458,0.17675523,0.17264378,0.17228974,0.17493571,0.17886508,0.18179356,0.1831615,0.1832146,0.18347047,0.18546122,0.1910704,0.20108329,0.21471727,0.22908227,0.24075557,0.24753518,0.24928354,0.24682808,0.24008876,0.22884877,0.21491249,0.20335825,0.19939159,0.20382117,0.21257527,0.2198145,0.2224464,0.22049223,0.21910755,0.22878768,0.26534477,0.3364633,0.43368515,0.5265317,0.584927,0.59159964,0.5580158,0.50694174,0.46378505,0.43860817,0.43137133,0.434368,0.44166473,0.4497458,0.45692626,0.462225,0.46469423,0.4647368,0.46296525,0.46045145,0.4579827,0.4564283,0.45642996,0.4573923,0.45774165,0.45564166,0.45110634,0.44603845,0.44406807,0.4496572,0.4680897,0.5014672,0.5449899,0.58290213,0.5976076,0.5778973,0.5308047,0.47324622,0.42535642,0.39518106,0.3808774,0.37143338,0.35771742,0.33579972,0.30978262,0.2863481,0.26925835,0.2571787,0.24671872,0.23737021,0.23170008,0.23284091,0.24063182,0.25179794,0.26138654,0.26600614,0.26462826,0.2589214,0.25132445,0.24437334,0.23967643,0.2380933,0.238952,0.24012874,0.2388521,0.23346329,0.22505261,0.21660171,0.21110542,0.20784084,0.20270534,0.19075483,0.17196442,0.15167312,0.13683997,0.12986024,0.12758328,0.12534069,0.124038815,0.13346516,0.17072354,0.24701826,0.35614488,0.46848464,0.5488234,0.57772183,0.5661895,0.5448808,0.54046464,0.55850106,0.58222157,0.5901859,0.5726571,0.539951,0.51447767,0.51303166,0.53504413,0.5602641,0.5667637,0.54585314,0.5132964,0.4947209,0.5071151,0.5418003,0.5722542,0.5741442,0.54242486,0.49259797,0.44475564,0.41208613,0.39406285,0.3844205,0.3762112,0.36717203,0.35826597,0.35192147,0.3494493,0.34927568,0.3486998,0.3474525,0.35183373,0.37075078,0.408309,0.45563722,0.49687934,0.5184128,0.52055734,0.5120592,0.504443,0.5013872,0.50227404,0.5029457,0.50199443,0.49860522,0.49369547,0.4873776,0.48084235,0.47515425,0.47159764,0.46988598,0.46933278,0.46930194,0.46974972,0.46965468,0.46686065,0.45956478,0.44865355,0.43740645,0.4289421,0.424067,0.42166388,0.42073455,0.42082024,0.42161775,0.42179406,0.42035913,0.41711202,0.41348514,0.41192058,0.41675377,0.4343365,0.4681174,0.5127594,0.55162925,0.5689643,0.5608023,0.5390344,0.5181503,0.50633717,0.50271183,0.5044346,0.50890833,0.5143182,0.51917666,0.5246439,0.5355943,0.5563523,0.5842895,0.60623485,0.6070613,0.58187205,0.542525,0.5076453,0.4888818,0.48476717,0.48741817,0.4909228,0.49403033,0.49798727,0.504766,0.5173126,0.5372887,0.561376,0.57763886,0.57263184,0.5416594,0.49724838,0.46046135,0.44604918,0.4520012,0.46361145,0.46502867,0.44732857,0.41160488,0.36680663,0.32515773,0.29534772,0.27732262,0.26418433,0.24825257,0.22830713,0.209442,0.19858862,0.19771148,0.20290299,0.2079689,0.20977075,0.2092119,0.20893149,0.21024646,0.21304052,0.21640295,0.21995604,0.22307336,0.22525102,0.22548313,0.2233119,0.21856016,0.21181329,0.20453821,0.1994934,0.20099832,0.21242811,0.23431776,0.26173523,0.287411,0.3045862,0.31181607,0.3119867,0.3115076,0.31630102,0.33211064,0.36060438,0.39978084,0.44016626,0.471992,0.4880414,0.4909146,0.48757687,0.4866556,0.49193397,0.5041578,0.5196276,0.534051,0.541866,0.54275787,0.5398818,0.53953385,0.54383546,0.5499125,0.55372214,0.5542021,0.5545955,0.55673987,0.55676705,0.54835576,0.5268452,0.49785686,0.47064248,0.45516348,0.45250794,0.45876542,0.46771348,0.4761813,0.48359907,0.49013725,0.49521187,0.49804628,0.49882957,0.49833098,0.4950991,0.48381618,0.45741165,0.41327992,0.3575019,0.30294442,0.26136324,0.23700954,0.22628884,0.223103,0.22385883,0.22789665,0.23532431,0.24402912,0.25100753,0.25352442,0.25185952,0.2480443,0.24541749,0.24641895,0.25177708,0.25931132,0.26464808,0.26382843,0.25602582,0.24405129,0.23192708,0.22214781,0.21471292,0.20775394,0.19897588,0.18672538,0.17167205,0.15718818,0.14837946,0.1482393,0.15483946,0.1616471,0.16290773,0.16193818,0.17393939,0.22068231,0.3110845,0.4291912,0.5345785,0.58978957,0.5846086,0.54521275,0.5136846,0.5171828,0.55161554,0.5860558,0.5927866,0.5657878,0.5288735,0.5097932,0.51899076,0.53694576,0.53463745,0.5012898,0.45580623,0.43316737,0.45064577,0.49593702,0.53262407,0.5341491,0.5009729,0.46243668,0.4501512,0.4760727,0.5243695,0.5652824,0.5753432,0.55319685,0.51881284,0.5002345,0.5091457,0.53259283,0.5421374,0.52168036,0.47883,0.4350302,0.40408084,0.3835733,0.36422622,0.3411835,0.31813228,0.30100086,0.29277703,0.29125044,0.29238918,0.293025,0.2928755,0.29325342,0.29537523,0.29762468,0.2952914,0.28254452,0.25813314,0.22749572,0.20131457,0.1875604,0.18801361,0.1973983,0.2088281,0.21625538,0.21678853,0.2098974,0.19729955,0.18170644,0.1657355,0.15121448,0.1393735,0.13189568,0.13048033,0.13534088,0.14350517,0.15122502,0.1575038,0.16816789,0.1936015,0.24591981,0.32829002,0.4298297,0.52270925,0.5791126,0.5877814,0.5650341,0.5425245,0.54479456,0.5734187,0.60589164,0.61709905,0.59655625,0.5599876,0.5321555,0.52762794,0.53562826,0.5322707,0.5031617,0.45896843,0.42796543,0.4321188,0.46915725,0.51272696,0.5323121,0.5159651,0.47913507,0.45433393,0.4653221,0.5106762,0.56212884,0.58719975,0.5725257,0.5343471,0.5059423,0.5075627,0.5322259,0.54811674,0.53147835,0.48130357,0.4210479,0.37168694,0.3400822,0.3176771,0.29612854,0.2733686,0.25337708,0.23897006,0.22991787,0.22418642,0.22094752,0.2204628,0.22258718,0.2258725,0.22848298,0.22954665,0.22916448,0.22745271,0.22376172,0.21770035,0.21061607,0.20576793,0.20599304,0.2111022,0.21776219,0.22192395,0.22135,0.21590501,0.2060026,0.19192767,0.17407274,0.15475303,0.13739698,0.12546046,0.11927106,0.116479285,0.113076836,0.106799595,0.09783187,0.08989316,0.08921824,0.103948556,0.13815212,0.18811393,0.24041407,0.2819387,0.3064554,0.31865385,0.3253777,0.33104137,0.33486268,0.33581272,0.33404157,0.33151224,0.32950392,0.32838833,0.32779738,0.32777068,0.3285297,0.3297913,0.33050433,0.329693,0.32756266,0.32538012,0.32435307,0.32456073,0.32542583,0.32641277,0.32775605,0.329447,0.33113816,0.3320483,0.33223787,0.3322535,0.33261642,0.3327593,0.33207357,0.33034444,0.32839894,0.32642987,0.32432315,0.32163906,0.3192253,0.31809482,0.31877467,0.32007292,0.32074502,0.32037076,0.32059944,0.32337072,0.33034894,0.34109184,0.35395852,0.36541286,0.3722384,0.37190875,0.36546698,0.35601237,0.3478907,0.34286714,0.34101364,0.34162176,0.3454877,0.3531253,0.36338732,0.3731554,0.38013956,0.3840979,0.38628146,0.38721964,0.38660404,0.3841169,0.38009965,0.37457788,0.36684975,0.35648194,0.34498915,0.33536217,0.33006582,0.33174017,0.34494293,0.37738815,0.4297024,0.49008024,0.5345728,0.5471503,0.5288496,0.4968723,0.46745625,0.44840923,0.44003043,0.440124,0.44605052,0.4542639,0.46230698,0.46933472,0.47491014,0.4771998,0.47382975,0.46460232,0.4530461,0.4435506,0.43997192,0.44187343,0.44754016,0.45214167,0.4535664,0.45097432,0.4477501,0.4459785,0.4464996,0.44782782,0.4491289,0.45028546,0.4510962,0.45102713,0.44973195,0.44774702,0.44591498,0.44498324,0.4460208,0.45035896,0.45776114,0.46554923,0.4687444,0.46497607,0.4551942,0.4442943,0.4359137,0.4318093,0.43108645,0.43253532,0.43496752,0.4367088,0.43606114,0.43162426,0.42443132,0.4168246,0.41194737,0.41134918,0.4146315,0.41896144,0.42028046,0.41590106,0.4065781,0.39673695,0.39143082,0.39377913,0.40350613,0.41765586,0.43181717,0.4423277,0.44801936,0.45010963,0.4503207,0.44904026,0.44607973,0.44154477,0.43661085,0.43359756,0.4372456,0.45444965,0.48779967,0.5291477,0.55927235,0.5623279,0.5373247,0.49992156,0.46758428,0.44974402,0.44435754,0.44561437,0.4476522,0.44873568,0.44912565,0.4506497,0.4532863,0.45659018,0.4593214,0.46109375,0.46051612,0.45700786,0.4504429,0.44245577,0.43405616,0.42615792,0.4191462,0.4137791,0.40997314,0.4070916,0.40499243,0.40506625,0.40907952,0.41670918,0.4252031,0.43130445,0.434353,0.4358827,0.4381981,0.4423581,0.44968972,0.4614737,0.47714046,0.49155816,0.49704695,0.48969364,0.4726815,0.45434883,0.4412278,0.4351431,0.43326256,0.43190122,0.42745438,0.41836587,0.40441513,0.3891585,0.37750998,0.37467182,0.38077196,0.3918123,0.40132692,0.40610835,0.40711403,0.4082917,0.4125757,0.42017457,0.429178,0.43763602,0.44504765,0.45233652,0.46129036,0.47327054,0.4867196,0.49599552,0.49378327,0.47803423,0.4551737,0.43572465,0.42574403,0.42348626,0.42555836,0.43270925,0.44968143,0.47644195,0.5045631,0.52009624,0.514515,0.4886438,0.45302847,0.42000005,0.3998876,0.3952714,0.40209007,0.41211104,0.41927585,0.42255688,0.42436492,0.4275614,0.43226254,0.43735048,0.4404578,0.44069782,0.43717268,0.430837,0.42329812,0.41831288,0.41858983,0.4247353,0.4336376,0.44178233,0.44663283,0.44772613,0.44500196,0.43971527,0.43435594,0.432544,0.43561408,0.44266245,0.45063034,0.4582317,0.46508288,0.4723498,0.4792492,0.48376927,0.48285964,0.47647023,0.46819735,0.46287453,0.46250018,0.46446443,0.4655628,0.46380004,0.4604278,0.45641354,0.45318985,0.45084414,0.44996372,0.4504986,0.45340422,0.45920643,0.46754,0.47507742,0.4776897,0.47331187,0.46461067,0.4572463,0.45565793,0.46031585,0.46836936,0.47614965,0.48150837,0.48269472,0.4790202,0.46982905,0.4571841,0.44434085,0.43533382,0.4322159,0.4355708,0.44413722,0.45742226,0.4755833,0.50154024,0.53301793,0.5612412,0.5697693,0.55122596,0.51212645,0.47180673,0.44490457,0.4352362,0.43687105,0.4428276,0.44862434,0.45248237,0.45572397,0.46246347,0.4789946,0.50639147,0.5370248,0.55468744,0.5479458,0.5174333,0.47675085,0.43946087,0.4127556,0.3960998,0.38780996,0.38648796,0.39166072,0.4028767,0.42148075,0.4502814,0.48842525,0.5273497,0.5511129,0.5488227,0.5218443,0.48544896,0.45558158,0.44190124,0.44298434,0.45291814,0.46267286,0.46572813,0.457841,0.44158313,0.4226613,0.40784243,0.39926732,0.3963776,0.39733505,0.40179348,0.40951216,0.41988167,0.43315586,0.4514508,0.47925302,0.5155416,0.5516207,0.5712612,0.56675076,0.5437971,0.51848036,0.49982414,0.48569417,0.46995294,0.45380977,0.4436374,0.44135904,0.43962172,0.43100902,0.41767254,0.41089082,0.4189589,0.4388561,0.45984587,0.4740374,0.48176256,0.48963532,0.5026037,0.5228427,0.5473086,0.5716315,0.58715945,0.5861037,0.5654072,0.53269714,0.5016037,0.4824345,0.47646797,0.4778451,0.48111525,0.48321247,0.48475158,0.48626518,0.48930892,0.49368417,0.4992628,0.5042314,0.50709105,0.5062394,0.50132495,0.49305487,0.4827478,0.4722812,0.46319446,0.4566683,0.45191935,0.44691125,0.43940473,0.42943922,0.41934875,0.41283596,0.41253087,0.41925216,0.43151346,0.44647554,0.46084428,0.47186384,0.47904322,0.4839001,0.48926625,0.4948244,0.49636486,0.48776206,0.46761498,0.44143614,0.41803846,0.4031613,0.3957821,0.39202058,0.3886942,0.38793948,0.3925772,0.4045843,0.41974214,0.4331902,0.44026494,0.44149092,0.43859693,0.43471292,0.43142334,0.42944792,0.42777133,0.4251401,0.4213613,0.4177688,0.41569388,0.4153148,0.4158866,0.41707453,0.41958845,0.424366,0.4317758,0.44020343,0.4471337,0.44983017,0.44817457,0.4437931,0.44080588,0.44369897,0.45816994,0.48595014,0.5214954,0.55067056,0.55932087,0.54393417,0.51304895,0.4813381,0.45736238,0.4428177,0.43382978,0.42826355,0.42567852,0.4268502,0.43074664,0.43517515,0.4376122,0.43708885,0.43358698,0.42852846,0.4238604,0.42191592,0.42409733,0.42981735,0.43688992,0.44217643,0.44425562,0.44362596,0.44235048,0.44148707,0.4406416,0.43927118,0.4378262,0.4374789,0.43821558,0.4390255,0.43907166,0.43879256,0.43971527,0.44313672,0.45020488,0.45972613,0.4686593,0.47158614,0.46621373,0.4541894,0.44126704,0.43120256,0.42395106,0.416304,0.40563202,0.39244065,0.37891316,0.36763394,0.35894546,0.35356417,0.35312775,0.36064747,0.3762227,0.39552763,0.4123415,0.4233174,0.43000963,0.43532166,0.4399682,0.44165528,0.43862042,0.43208826,0.42603517,0.4239204,0.4272922,0.43533528,0.44597602,0.45539364,0.45994306,0.45842877,0.4531872,0.44760552,0.4429737,0.44044492,0.44386935,0.46014264,0.49045047,0.52534676,0.54674095,0.54249126,0.51354593,0.47354326,0.4370782,0.4135855,0.40507007,0.4080861,0.41655007,0.42399803,0.4281049,0.42962122,0.43165055,0.43465272,0.43820098,0.4405422,0.44194654,0.44153404,0.43866757,0.43155575,0.42146268,0.41110095,0.40447626,0.4028817,0.40555015,0.41047475,0.41644344,0.42343614,0.43149945,0.44088483,0.45122668,0.46206573,0.4718722,0.47866428,0.4812317,0.48087922,0.48114073,0.4853336,0.49231687,0.49736822,0.4947112,0.48447683,0.4703637,0.45755398,0.4462947,0.4352114,0.4231572,0.41250825,0.4067208,0.4080653,0.41616666,0.42777598,0.4387696,0.44530526,0.44598415,0.44128883,0.43308672,0.42335972,0.41457,0.40951243,0.41063356,0.41736397,0.4258605,0.4295862,0.42448494,0.41057476,0.39390957,0.38198602,0.38065192,0.3899335,0.40428814,0.4164015,0.42055878,0.4175326,0.41114518,0.40930524,0.4172983,0.44038367,0.47428784,0.50804377,0.5225736,0.5087915,0.47180215,0.43135592,0.40427878,0.39675546,0.4031056,0.41401395,0.42169103,0.4228011,0.4197649,0.42073977,0.43660495,0.4705108,0.5126152,0.5413049,0.54177433,0.51532066,0.48047706,0.45479894,0.44555116,0.44668484,0.44960427,0.44856903,0.44379136,0.4380072,0.43643925,0.44564912,0.46891737,0.4999632,0.5226918,0.5229748,0.49984694,0.4651414,0.43298504,0.410969,0.40130007,0.40436938,0.4179922,0.43636492,0.45007375,0.45470116,0.45158315,0.44756937,0.44689858,0.451712,0.4632099,0.48450372,0.5150384,0.54646206,0.56286925,0.55347914,0.520826,0.48095214,0.4494932,0.43414232,0.4338789,0.44732454,0.47173676,0.5012904,0.52314156,0.5253834,0.50294054,0.46095824,0.41098443,0.36623117,0.3399938,0.34175077,0.37315822,0.42312598,0.47147563,0.49942008,0.50031805,0.48056528,0.452363,0.42398545,0.39710414,0.36745253,0.3300589,0.28349203,0.2321678,0.18454571,0.14671007,0.12005227,0.101053,0.08696296,0.07679707,0.07152989,0.07082609,0.073181786,0.07663805,0.08027775,0.08361122,0.08556909,0.084132135,0.07792765,0.06790105,0.057810202,0.051950645,0.05271928,0.05895159,0.06710201,0.072827965,0.07323895,0.06774117,0.05875228,0.050112043,0.04508032,0.044043224,0.04504026,0.045516353,0.044213768,0.04111698,0.036551144,0.030700834,0.024116958,0.01847331,0.016528787,0.020937279,0.032434624,0.04841007,0.06344805,0.07184061,0.07100353,0.06280918,0.052075118,0.043123815,0.037637535,0.034741938,0.032717418,0.03031638,0.027279241,0.024091778,0.021380335,0.019249797,0.017366683,0.016049864,0.01718937,0.023350453,0.035403747,0.05077816,0.06467257,0.072919,0.07432634,0.07015903,0.06250658,0.05310832,0.043773144,0.03678952,0.0342619,0.03676868,0.042666707,0.04916616,0.054353397,0.059032977,0.06807726,0.091207325,0.14121927,0.22643661,0.33896747,0.45173025,0.53055644,0.5572606,0.53913635,0.5006834,0.46445397,0.44190428,0.4344511,0.43846628,0.4483695,0.45822763,0.46456376,0.46741807,0.46952438,0.4737339,0.4810828,0.4914217,0.5037628,0.51641124,0.52414054,0.519294,0.49521673,0.45263037,0.39900637,0.34446025,0.29594314,0.26032937,0.24756883,0.27135977,0.3340578,0.41904935,0.4909103,0.5227551,0.50927234,0.4713783,0.43219647,0.40641966,0.3933541,0.3859456,0.37490645,0.3534439,0.3229785,0.29608858,0.29605272,0.33617774,0.4071493,0.47267818,0.5016307,0.48695588,0.45203495,0.42253414,0.4108423,0.4112927,0.4123918,0.40408194,0.3803229,0.3426316,0.3034562,0.28731465,0.31320345,0.37796262,0.4488283,0.489969,0.48574197,0.4517741,0.41327143,0.38811645,0.37804604,0.37535572,0.36876082,0.3476037,0.31119394,0.2730942,0.2623936,0.2980827,0.37390783,0.45079827,0.49264017,0.4865249,0.45262063,0.4162449,0.3945032,0.38970742,0.39722458,0.40653637,0.40278003,0.37660816,0.3347369,0.30535433,0.31515524,0.3680545,0.43407586,0.4797347,0.49404994,0.49285516,0.4907682,0.48345408,0.4600593,0.42552295,0.39974582,0.3958018,0.4029107,0.40518293,0.40150598,0.4089801,0.434703,0.46335116,0.47310233,0.46485612,0.45956385,0.47314385,0.49464822,0.5070664,0.50847644,0.51725155,0.5420808,0.56926274,0.5749324,0.5547807,0.52617073,0.5082376,0.49787638,0.47718325,0.43250823,0.36877236,0.30266732,0.24920465,0.21553387,0.19957745,0.19518958,0.19494103,0.19509472,0.19542672,0.19768555,0.2020457,0.20689695,0.2115134,0.21986902,0.240966,0.2792177,0.32666612,0.36175057,0.36714396,0.34184253,0.30251268,0.26691684,0.2430294,0.22901915,0.22089805,0.21706562,0.21687661,0.21868496,0.21988957,0.218574,0.21468015,0.20958026,0.20738111,0.21618937,0.24902458,0.31371573,0.4025819,0.48779202,0.5395124,0.5455672,0.51901025,0.48360845,0.4563942,0.44202507,0.43731418,0.43817326,0.44205964,0.4478146,0.45537934,0.46443355,0.4744933,0.48424307,0.4930958,0.5023994,0.5147868,0.52947736,0.5387848,0.5321898,0.50900424,0.48444256,0.4806001,0.50447845,0.5399384,0.5605673,0.55625325,0.539361,0.52967185,0.531935,0.53366446,0.5209573,0.4908527,0.45322004,0.4184297,0.3928821,0.3755994,0.3622954,0.34634054,0.3225514,0.29454693,0.27865374,0.29681137,0.35416126,0.42818722,0.47978672,0.48676404,0.45657703,0.4181336,0.39251074,0.3843808,0.38377777,0.37980822,0.36471644,0.33597267,0.29992464,0.2736937,0.28014824,0.32771203,0.3992531,0.45864215,0.4795678,0.46096194,0.42423666,0.39107403,0.37296093,0.36764845,0.36671424,0.3590343,0.33723345,0.30126134,0.25875288,0.21966963,0.18863064,0.16337109,0.13861586,0.113230936,0.09096861,0.07646418,0.06964621,0.066379555,0.06256287,0.05815536,0.055798527,0.0572917,0.06097808,0.06324276,0.061720844,0.057303865,0.0529853,0.051227674,0.052121382,0.053687144,0.05329517,0.04953,0.043279752,0.037717223,0.036118373,0.039498467,0.04549436,0.050568614,0.05245002,0.051425323,0.048724305,0.04530276,0.041688487,0.039291218,0.040103927,0.045005992,0.05171228,0.05590728,0.05429512,0.047649875,0.03978241,0.03447317,0.032400463,0.03177764,0.03076212,0.029689068,0.0304246,0.034237206,0.040256765,0.04615837,0.050035257,0.051484987,0.051312312,0.050482478,0.049642142,0.048775632,0.047125045,0.0435205,0.037658293,0.031224092,0.026826197,0.025812298,0.026779478,0.027424226,0.026981309,0.027123312,0.02994213,0.035652995,0.04234126,0.04755793,0.050236452,0.050676655,0.049631983,0.04716034,0.04300301,0.037197165,0.030750765,0.025078313,0.021434238,0.020626737,0.024046324,0.034962997,0.06064053,0.11127386,0.19577809,0.30909553,0.42779556,0.5161147,0.5510492,0.53540415,0.49433267,0.45381555,0.4268668,0.4144331,0.41199455,0.41675696,0.42600572,0.43844447,0.45132062,0.46307763,0.47188666,0.47798744,0.48217502,0.48706713,0.4943459,0.5024174,0.50491065,0.4964235,0.4813361,0.476055,0.4953344,0.53765243,0.5821182,0.6085226,0.61264944,0.60477924,0.59363323,0.5755097,0.5447952,0.5014122,0.45642197,0.42013028,0.3980398,0.3887129,0.38711143,0.3876804,0.38359937,0.37319383,0.3618704,0.36602166,0.3973212,0.45203218,0.5055129,0.5340306,0.53055716,0.508439,0.48481265,0.4689431,0.461314,0.4575653,0.45089105,0.4318708,0.39577517,0.35080752,0.3215207,0.33151495,0.3838385,0.45127502,0.4991412,0.5090042,0.49006203,0.46221367,0.44058344,0.42928752,0.4258643,0.42473555,0.41772115,0.40090573,0.37975368,0.37244308,0.39272186,0.43786123,0.48276505,0.50261575,0.4889456,0.4554164,0.4218068,0.40178862,0.39862892,0.40784618,0.41923472,0.4196459,0.4007777,0.36858764,0.3448596,0.35106394,0.3887427,0.43397394,0.46011415,0.46194622,0.4560143,0.4570392,0.46080336,0.45431224,0.43633616,0.41823074,0.40970862,0.40433785,0.39430106,0.3835189,0.3891358,0.41790032,0.45471975,0.4762607,0.47667262,0.4714944,0.47645387,0.48804435,0.49201712,0.48412764,0.4747971,0.47266605,0.47132024,0.4597356,0.44093013,0.431386,0.44221878,0.46209118,0.46734414,0.44248328,0.39146182,0.33113202,0.2762961,0.23558557,0.21018513,0.19904058,0.19803822,0.20276684,0.2088139,0.21431857,0.21880977,0.22249669,0.22554843,0.23089893,0.24549492,0.2754848,0.317739,0.35721254,0.37768784,0.3754826,0.36147556,0.34995392,0.34586608,0.34533715,0.3412824,0.32993698,0.30992416,0.28354686,0.25716972,0.24020308,0.2384019,0.24802423,0.2590694,0.2668904,0.28161266,0.32072103,0.38993642,0.4708306,0.5308223,0.54812527,0.52597004,0.48796543,0.45831743,0.44943812,0.45860064,0.47526172,0.48931286,0.49675772,0.5000486,0.5030086,0.50659806,0.50764054,0.5025309,0.4916838,0.48087215,0.47740898,0.48332143,0.49330702,0.5005968,0.5056773,0.5164919,0.53731245,0.55993396,0.5689857,0.5594089,0.54326314,0.53710884,0.5441386,0.5504467,0.54228145,0.5161143,0.4806274,0.4438549,0.4124597,0.39126107,0.3842096,0.39010715,0.4002236,0.4084427,0.4165531,0.43722305,0.47436962,0.5175398,0.541667,0.53374225,0.4987594,0.45831433,0.42799708,0.41350403,0.41102326,0.41601208,0.42278585,0.42567232,0.42245844,0.41924354,0.4285846,0.45697582,0.49632946,0.52481407,0.5261125,0.49875388,0.4583906,0.421541,0.39972487,0.39426064,0.40052795,0.40840304,0.40830854,0.3982362,0.38892996,0.39822546,0.43428,0.4850401,0.52227145,0.5265183,0.49979985,0.46425557,0.43945202,0.43237185,0.4367592,0.44234678,0.4389418,0.4185499,0.38190088,0.34418997,0.332093,0.36216703,0.42254066,0.47701326,0.49749926,0.48871598,0.47791192,0.48356795,0.49674714,0.49943152,0.48553804,0.46579465,0.45128313,0.44247308,0.43546033,0.42651916,0.41586033,0.40074554,0.381798,0.36367503,0.3547493,0.35597265,0.35984638,0.35708976,0.3480445,0.34015325,0.3373437,0.33204862,0.31591904,0.29624248,0.2986827,0.34278336,0.41866818,0.4866129,0.51079893,0.48396516,0.4296631,0.37690774,0.34300628,0.32933784,0.3291714,0.33468065,0.3409338,0.34889054,0.36438453,0.39587083,0.44383338,0.49688682,0.5329418,0.5375528,0.51475203,0.48298657,0.45861864,0.4424274,0.42878166,0.41124567,0.39043036,0.36421332,0.33349982,0.30493793,0.29804525,0.32786155,0.39139235,0.46030656,0.5051234,0.512808,0.49461448,0.46841466,0.4488857,0.44349286,0.45770216,0.49042535,0.53056735,0.5579536,0.55801827,0.5321903,0.4965707,0.46823215,0.45405924,0.45160648,0.45444337,0.45816553,0.4596599,0.4595507,0.46181288,0.47505513,0.5024638,0.53688365,0.55907696,0.55531234,0.5269235,0.49112353,0.46375206,0.45031866,0.44626436,0.44593394,0.44639853,0.4473871,0.4500892,0.45782995,0.4757317,0.5052973,0.5394619,0.5626824,0.56253713,0.539063,0.5049601,0.4745222,0.4550703,0.4468232,0.44728085,0.45269692,0.45765767,0.4552252,0.44257203,0.42240477,0.40241012,0.38792214,0.3801129,0.37608162,0.37329328,0.37059438,0.36812723,0.36587998,0.36327854,0.35959637,0.35462427,0.34927368,0.34498534,0.3428795,0.34328547,0.34577692,0.34956956,0.3531966,0.3554128,0.3556341,0.3546917,0.35354576,0.35274538,0.35206255,0.35163215,0.35185695,0.35306776,0.3544277,0.35462463,0.35299328,0.3508397,0.3505197,0.3536631,0.3596517,0.36662054,0.37339365,0.38065708,0.38969335,0.40045676,0.4109225,0.418227,0.42041418,0.41721287,0.41013667,0.40176454,0.39476737,0.39042577,0.38801584,0.38541695,0.3808157,0.3740059,0.36628246,0.35965157,0.35563612,0.35533392,0.3590453,0.36630416,0.37503186,0.382296,0.38611686,0.3867215,0.38590857,0.38431776,0.38170183,0.3780526,0.375234,0.37497255,0.3768581,0.37887645,0.3788598,0.37687787,0.3736583,0.37166294,0.37373218,0.3855363,0.41103756,0.44999814,0.49185494,0.52473813,0.5430779,0.55605143,0.5721448,0.5894152,0.5938303,0.58098227,0.56311387,0.55727094,0.56437415,0.5697916,0.5644571,0.5564031,0.55811334,0.5671754,0.5654711,0.5428577,0.508429,0.4850047,0.4841392,0.50114995,0.52273536,0.54298013,0.56258035,0.5801119,0.5875268,0.5777564,0.5545186,0.5286193,0.50935656,0.49625835,0.48630583,0.47745326,0.47303662,0.47632328,0.48993826,0.5155316,0.55182546,0.59291214,0.6226072,0.6250642,0.59304696,0.54051346,0.4893388,0.45689678,0.44234368,0.4365848,0.43103182,0.4257834,0.42368373,0.42856368,0.44252896,0.46826696,0.50259286,0.5356677,0.551949,0.5434304,0.5137318,0.47638178,0.4433262,0.42008522,0.40636775,0.4001639,0.39992914,0.40431216,0.41308466,0.42802146,0.45344493,0.48969564,0.52861613,0.5530472,0.55038226,0.52142066,0.4815642,0.44851157,0.43321475,0.4373999,0.4557809,0.47867456,0.49353263,0.49020854,0.46618688,0.4286686,0.38975382,0.3590074,0.3393463,0.32828435,0.32190645,0.3173343,0.3131094,0.30847958,0.30310133,0.29693463,0.29037762,0.2840867,0.27892658,0.27584848,0.27593678,0.2798078,0.28685,0.29458973,0.29991636,0.30052045,0.29650882,0.28964412,0.28268236,0.27779403,0.27653977,0.2794669,0.28634253,0.2957401,0.30499902,0.31104633,0.31180334,0.30749026,0.30035946,0.29352012,0.28952622,0.2893279,0.29209742,0.2954491,0.2970674,0.2958463,0.29254636,0.2885624,0.2848352,0.28140035,0.27791825,0.27444544,0.27138695,0.26932994,0.26802507,0.26671347,0.26456046,0.26211283,0.2608401,0.26230726,0.2671454,0.2750031,0.28465557,0.29351473,0.29863253,0.29800346,0.29238006,0.28416792,0.27622405,0.27007005,0.2662649,0.26421264,0.2633719,0.26331687,0.26405433,0.26501223,0.26507118,0.26354626,0.26243553,0.26796576,0.2896885,0.333081,0.39113972,0.4444214,0.47587374,0.48782054,0.4973023,0.5164266,0.5367016,0.5434575,0.5360854,0.52954555,0.53434736,0.5427212,0.5420802,0.5334137,0.53023857,0.5389816,0.5475678,0.54028493,0.5178109,0.49682426,0.49221352,0.4999102,0.5085669,0.5127516,0.5203419,0.53530836,0.5505004,0.5536111,0.5446796,0.53508383,0.5336315,0.53491145,0.5299687,0.5208464,0.5199456,0.5325329,0.5469704,0.5476394,0.53428084,0.52188426,0.5204117,0.5192652,0.49595192,0.4380786,0.35279608,0.26021853,0.17842668,0.117957056,0.080618724,0.06266733,0.057572216,0.058897585,0.06246658,0.06567717,0.06756272,0.067973696,0.06772902,0.067498125,0.06763393,0.06818155,0.06931602,0.071086146,0.07309281,0.074776165,0.07606704,0.07787254,0.08119178,0.08605832,0.09078133,0.09335499,0.09306532,0.0917564,0.09198939,0.09491569,0.098491676,0.09926927,0.09499949,0.087069035,0.079771005,0.07753045,0.08156496,0.08891082,0.09448692,0.09464798,0.089128055,0.08024838,0.07068567,0.06218231,0.055790093,0.05233085,0.052169558,0.054453626,0.05736691,0.059094954,0.058902714,0.056971516,0.054047253,0.05125022,0.050446775,0.053720694,0.061875004,0.07312176,0.083430044,0.08898991,0.08830163,0.082773834,0.075033166,0.06740446,0.061146736,0.05694851,0.055184647,0.055905122,0.058451574,0.061691117,0.06438282,0.06580099,0.0657224,0.064723656,0.06407771,0.06578814,0.07112081,0.0795812,0.0882413,0.0938603,0.09460598,0.09139546,0.08639058,0.08170068,0.078142084,0.075651646,0.07378041,0.07224571,0.07090142,0.06953172,0.06776709,0.06527702,0.062015772,0.0585302,0.05585977,0.055440377,0.05806383,0.06329295,0.069012344,0.07283318,0.07333285,0.070960276,0.06712248,0.06312684,0.059614718,0.056894507,0.055366565,0.055163894,0.055753965,0.055772748,0.05406515,0.050424162,0.045890767,0.042146306,0.041137327,0.04489251,0.054293025,0.06794926,0.08137902,0.08967501,0.089826174,0.082710564,0.071363755,0.059530836,0.050048973,0.04492793,0.04488303,0.04915288,0.055363804,0.060678106,0.06315996,0.0626295,0.060143482,0.057306733,0.055985045,0.058421995,0.065990865,0.077788174,0.08987524,0.09774291,0.09880096,0.09394172,0.08593459,0.077875674,0.07216138,0.07072257,0.07445657,0.08238316,0.09116276,0.09671205,0.09642621,0.09064839,0.08172831,0.07262074,0.06584028,0.06374218,0.06736516,0.07566226,0.084573984,0.08999432,0.08975329,0.085298695,0.07920765,0.07370884,0.06953285,0.06690449,0.06575253,0.06560716,0.06541308,0.064188935,0.061905187,0.05962774,0.05863796,0.059587304,0.062271923,0.066123575,0.07067806,0.075485595,0.08012341,0.08390167,0.08667642,0.08892261,0.09199018,0.09676971,0.10311049,0.10977143,0.11572219,0.12089467,0.12587327,0.13060606,0.13362284,0.132318,0.12452672,0.110354245,0.09331729,0.07958966,0.074525446,0.07917448,0.08880635,0.09659695,0.09795952,0.09316587,0.08531762,0.07763014,0.07190203,0.06889934,0.068811595,0.07112994,0.07450658,0.077290244,0.0784146,0.077874355,0.0763523,0.07471534,0.074043036,0.07604719,0.082343034,0.09291014,0.10479892,0.11368636,0.11653849,0.113510974,0.1069007,0.09911639,0.09169691,0.08569425,0.082260996,0.08195573,0.08406628,0.08652101,0.08733634,0.08573379,0.082512856,0.079041936,0.07659707,0.07612393,0.07860434,0.084340625,0.092253,0.09950415,0.103355475,0.10273692,0.09911113,0.09498349,0.092492186,0.09235569,0.09401516,0.09615472,0.09737862,0.09693348,0.09487951,0.09188797,0.08852249,0.08511313,0.08210004,0.08054308,0.08163927,0.08550837,0.09051961,0.094069354,0.094331525,0.09121141,0.086081535,0.08072204,0.07653754,0.07435265,0.07444746,0.07680627,0.08085031,0.08540424,0.08863091,0.088923,0.08557442,0.07959487,0.073853076,0.072771735,0.08042272,0.09727404,0.11855618,0.13598377,0.14332588,0.13946623,0.12826924,0.11526694,0.10629902,0.107368775,0.1223312,0.1508391,0.18493871,0.21347706,0.22424006,0.21208924,0.17913099,0.13772632,0.10392187,0.09391132,0.115801774,0.16621798,0.22893786,0.28221563,0.31065002,0.31276092,0.29916254,0.28247952,0.2708715,0.26646325,0.26853368,0.27501395,0.28342855,0.2907107,0.29421207,0.29229715,0.28597638,0.27916655,0.27917084,0.29433993,0.32974878,0.3814316,0.43553832,0.47550917,0.49226105,0.48893955,0.4758092,0.4627055,0.45429578,0.45117712,0.45185962,0.45435894,0.45746443,0.46112204,0.4677284,0.47849262,0.49190703,0.5006282,0.49821118,0.48247433,0.4602641,0.44018793,0.4292219,0.42693663,0.42973432,0.43223503,0.43227455,0.43022442,0.42959723,0.43454316,0.4475789,0.4667255,0.48397228,0.49047482,0.48149943,0.46226886,0.44187555,0.42920378,0.42563048,0.4281169,0.42889467,0.42017844,0.3954307,0.354856,0.3054068,0.25828475,0.22178727,0.1980391,0.1841188,0.17690104,0.17673731,0.18592219,0.20511942,0.22930153,0.2506462,0.26271227,0.26521936,0.26220968,0.25914475,0.25937322,0.26401505,0.2717801,0.28022817,0.28612006,0.28776753,0.28505743,0.27976504,0.27327585,0.26677904,0.26141095,0.2591764,0.2613127,0.26668963,0.27153492,0.27221814,0.26736706,0.25849795,0.24804853,0.239291,0.23695846,0.24825571,0.2791598,0.32886884,0.3868003,0.4376895,0.47099248,0.48579112,0.4881933,0.48530856,0.48283505,0.48541594,0.49466443,0.5068018,0.5128214,0.5068634,0.49288902,0.4822034,0.4822646,0.48796844,0.48892245,0.48148635,0.47321784,0.47200927,0.47370377,0.46700075,0.4450967,0.4164885,0.39468464,0.38770738,0.39179072,0.39885142,0.40352258,0.40474322,0.40395856,0.40271327,0.40296105,0.40524605,0.40841052,0.40991104,0.4082451,0.402877,0.39212367,0.37292495,0.3433782,0.30731657,0.272369,0.2458865,0.22939944,0.22016591,0.21386872,0.20869549,0.20489599,0.2039287,0.20540838,0.20756237,0.20782958,0.20571916,0.20208079,0.19862302,0.19658716,0.19742547,0.2018918,0.20925243,0.2166906,0.22195582,0.22471446,0.22687043,0.2292824,0.23139472,0.23150574,0.23015364,0.22924815,0.2312013,0.23535068,0.23969294,0.24219866,0.24347253,0.24488585,0.24903087,0.25991473,0.28522703,0.32950675,0.38934684,0.4478127,0.4866239,0.49478328,0.47820675,0.45091328,0.4272213,0.41345918,0.4095637,0.4124761,0.41875938,0.42596745,0.43244433,0.43836236,0.44401863,0.44952106,0.45336333,0.45475242,0.4533896,0.45035434,0.44595706,0.44065925,0.4350764,0.43087077,0.42920962,0.42977938,0.43181816,0.4358271,0.4451324,0.4613203,0.48196316,0.4971048,0.4976032,0.47876546,0.44802997,0.41680753,0.39673093,0.38965085,0.39166948,0.39412037,0.39095542,0.37810072,0.35647908,0.32950744,0.30348277,0.28328124,0.27197337,0.26937664,0.2737628,0.28169182,0.28918493,0.29277316,0.2912334,0.28583536,0.2787749,0.27190635,0.26604235,0.2620754,0.26039103,0.2608656,0.2622951,0.26400575,0.26648507,0.27133432,0.2792889,0.28896275,0.2964566,0.29711947,0.28777653,0.26964593,0.24923463,0.23572744,0.23519377,0.24549465,0.2573979,0.25994313,0.24857455,0.22980297,0.22193171,0.24484818,0.3052516,0.3855543,0.4539496,0.48553598,0.48153272,0.46404636,0.45736256,0.46813765,0.48400518,0.4874616,0.47184923,0.44732317,0.43067157,0.43275878,0.44920465,0.46547267,0.4665562,0.45018163,0.42781928,0.41782555,0.42907503,0.4535109,0.4703108,0.4612154,0.42355415,0.36995885,0.31906584,0.28268802,0.26152042,0.2487552,0.23674284,0.22445612,0.21528745,0.2148705,0.22126304,0.22622365,0.21937384,0.2011317,0.185959,0.19408233,0.23547614,0.30045697,0.36690268,0.41520086,0.43925658,0.44485745,0.44115505,0.4348586,0.42885843,0.42475238,0.42279825,0.42235336,0.42181325,0.42041865,0.41889635,0.4182857,0.418643,0.41864312,0.41762137,0.4164308,0.41699564,0.420014,0.4240627,0.4265901,0.4262143,0.4237018,0.4208075,0.41837767,0.41571918,0.4124048,0.409114,0.40752324,0.40746823,0.40728533,0.4048328,0.4004719,0.3964547,0.39584315,0.40139472,0.41559872,0.43929172,0.46867952,0.49487424,0.50822926,0.5053262,0.49121794,0.4757423,0.46589926,0.4628171,0.46275058,0.46206155,0.45949256,0.45700455,0.45853567,0.46825305,0.48679376,0.50837755,0.52223533,0.5196285,0.5006919,0.474403,0.45272326,0.44224432,0.4425467,0.44765827,0.45212018,0.45307398,0.45192042,0.45262215,0.45992112,0.4749705,0.49257126,0.50274855,0.4977447,0.478302,0.4526933,0.43112049,0.41879138,0.41521707,0.41498956,0.4113884,0.39934814,0.37821057,0.3527598,0.3289782,0.31032848,0.29455566,0.27759305,0.25760454,0.23818316,0.22535807,0.22308564,0.22974466,0.24007714,0.24872763,0.25341392,0.25408992,0.25197884,0.24832769,0.24493964,0.2430246,0.24274017,0.24174945,0.23706783,0.22630735,0.21044469,0.19272114,0.17788424,0.1698227,0.17176752,0.1845508,0.20579691,0.22856815,0.24525328,0.2513313,0.24870737,0.24270724,0.23875427,0.24015588,0.2501838,0.2738687,0.31566092,0.37410626,0.43822154,0.4923983,0.525371,0.5366934,0.53447455,0.5284421,0.52487665,0.5250544,0.52658296,0.52587646,0.5209425,0.5142617,0.50870895,0.50514436,0.4987818,0.4867499,0.47144425,0.4609278,0.4604446,0.4670191,0.4730061,0.4729646,0.4685966,0.46514106,0.46662614,0.4732953,0.48212352,0.48959243,0.49329093,0.49364957,0.49253276,0.4916352,0.49076614,0.48912176,0.4866968,0.48426917,0.48112524,0.4728383,0.45349434,0.4195155,0.3742627,0.3257759,0.2830443,0.25088942,0.23071563,0.22213016,0.2247168,0.2361222,0.25090155,0.26190847,0.26478148,0.2606037,0.25403157,0.24973023,0.24975123,0.25514892,0.2655069,0.27923688,0.29133442,0.2966315,0.29193452,0.2795144,0.26481497,0.25399783,0.24964167,0.24980812,0.24893089,0.24336867,0.23551442,0.23387754,0.24480347,0.26528266,0.28216264,0.2808355,0.25663647,0.22039904,0.19686043,0.20932245,0.26573718,0.34820715,0.42643365,0.4753634,0.49251652,0.49242735,0.4924967,0.49813405,0.50311995,0.4990628,0.48621812,0.47251835,0.4676386,0.472194,0.4802861,0.48184386,0.4752626,0.46457168,0.46004525,0.46442518,0.47502223,0.4815974,0.4796305,0.4701148,0.46154845,0.46002254,0.46611235,0.47457203,0.47809923,0.47444615,0.4652423,0.45795265,0.45731452,0.46519408,0.4758345,0.48208857,0.47827363,0.46611527,0.45104197,0.43882143,0.42864886,0.41597107,0.39561546,0.3688798,0.34192815,0.32180485,0.31111827,0.30763936,0.30797258,0.30931997,0.31109563,0.31238347,0.31200644,0.30616295,0.2912792,0.26606378,0.23558211,0.20846795,0.1927066,0.19020237,0.19721343,0.20703734,0.21408473,0.21534687,0.21035099,0.19990085,0.18566652,0.1698751,0.15540421,0.14470474,0.13971545,0.14144744,0.1497852,0.16204812,0.17278475,0.17657381,0.1720686,0.16558571,0.16933645,0.19646402,0.25125703,0.3237045,0.392097,0.43702158,0.45412663,0.45508406,0.45557913,0.4627765,0.47251752,0.4769218,0.47203255,0.4618661,0.45416382,0.45494136,0.46277726,0.46987116,0.4686494,0.4584547,0.4471903,0.44423535,0.45300636,0.46698365,0.4751073,0.4696232,0.45321932,0.43649676,0.43129206,0.44100258,0.45899403,0.4724845,0.47241405,0.45897317,0.44255388,0.434463,0.44032732,0.45316684,0.46174368,0.45665184,0.43966618,0.41834378,0.3986932,0.3792834,0.35406592,0.32210326,0.2887702,0.26296023,0.2478385,0.2412374,0.23826289,0.23634224,0.23488949,0.23395227,0.23306449,0.23163426,0.22932045,0.22563441,0.21964453,0.21071868,0.20013623,0.19156076,0.18875612,0.19223218,0.19802217,0.20075125,0.19723655,0.18821234,0.17588817,0.1625312,0.14937454,0.13823842,0.1310048,0.12925626,0.13283008,0.13934283,0.1452752,0.1469029,0.14304604,0.13487604,0.1261685,0.12058442,0.11980298,0.122230746,0.12333874,0.11925343,0.108433224,0.093298994,0.07712201,0.062861934,0.05142488,0.042955514,0.03722656,0.03455165,0.03510387,0.038459513,0.043000218,0.04686013,0.04875521,0.04874965,0.0476062,0.046214763,0.044945773,0.043844726,0.04274113,0.041534062,0.04010808,0.038437575,0.036614913,0.03494125,0.033749443,0.033205662,0.03320675,0.033498917,0.033807334,0.033905372,0.033620875,0.03288773,0.031809095,0.030632094,0.029638655,0.028977685,0.02861625,0.028368736,0.028034493,0.027501315,0.026803516,0.026072519,0.025440067,0.024948291,0.024549007,0.024150973,0.023707783,0.02321911,0.022722974,0.02220352,0.02160761,0.02086389,0.019995928,0.019109232,0.018346025,0.01776581,0.017322818,0.016897649,0.016387781,0.015768576,0.015089429,0.014424,0.013782312,0.013109107,0.012326025,0.011470298,0.010728039,0.010370189]