[0.027094444,0.03624024,0.057647586,0.08691891,0.11785037,0.14338611,0.1597724,0.16727008,0.17015116,0.17257325,0.17695825,0.1832068,0.19018412,0.1965182,0.20074464,0.2013885,0.19687392,0.18672794,0.17242809,0.15809722,0.14889628,0.1483687,0.15610342,0.16756018,0.17671226,0.17935191,0.17516649,0.16709603,0.15884338,0.15355064,0.1527582,0.15717824,0.16557038,0.17582472,0.18457453,0.18874978,0.18443723,0.1686299,0.14040805,0.104399465,0.06928542,0.04466551,0.034918394,0.0379294,0.04749215,0.059450835,0.0738856,0.09237962,0.112530716,0.126939,0.12748663,0.11176143,0.085699566,0.061291482,0.05047388,0.058610547,0.08190895,0.109948896,0.13293749,0.1463949,0.15223907,0.1546722,0.15730232,0.16124512,0.16602214,0.17032903,0.1732079,0.17452484,0.17490877,0.17507774,0.17488837,0.17319961,0.16880757,0.16186137,0.15441804,0.14890869,0.14677489,0.14745097,0.14981191,0.15251994,0.15516073,0.15731685,0.15916152,0.16044211,0.16124193,0.16121955,0.15992041,0.15554142,0.14534847,0.12690242,0.10077361,0.071675844,0.046961274,0.03292004,0.031360876,0.03931484,0.051773857,0.065452635,0.07970918,0.094665326,0.10901269,0.120474644,0.1276847,0.1312449,0.13277961,0.13385868,0.13550127,0.13822591,0.14199945,0.14598416,0.14928019,0.15140782,0.15309548,0.15525924,0.15846437,0.16213043,0.16531605,0.16681449,0.1655907,0.1606705,0.15230028,0.14227615,0.13370876,0.1292779,0.13020895,0.13596196,0.14432263,0.15215103,0.15654102,0.15680175,0.15450227,0.15185626,0.15018095,0.1496743,0.15106334,0.15482622,0.16109397,0.16824538,0.17444645,0.17721923,0.17364866,0.16034377,0.135771,0.10305651,0.06990989,0.04530756,0.034098905,0.03513551,0.043699834,0.05647851,0.07330986,0.09440083,0.11615491,0.13102454,0.13160741,0.11626014,0.09103429,0.06779224,0.057922255,0.06677275,0.09063482,0.120237015,0.14612181,0.16358314,0.17266147,0.17602329,0.17570639,0.17195928,0.16388123,0.15171196,0.1381051,0.12711827,0.121608116,0.12160956,0.12494246,0.12888962,0.1314503,0.13167793,0.12984824,0.12724577,0.12557931,0.12592728,0.1282499,0.13149674,0.13417529,0.1348577,0.1328672,0.12875383,0.124488115,0.12233437,0.123901986,0.12883298,0.13541609,0.140855,0.14319612,0.14171846,0.13773477,0.13297313,0.12877585,0.12534535,0.12310252,0.12314153,0.12669526,0.13329482,0.1407246,0.14653194,0.15017162,0.15444975,0.16511784,0.18991552,0.23129766,0.28273746,0.32670593,0.34849843,0.34411287,0.3244662,0.30271527,0.28688338,0.27740765,0.27242005,0.271165,0.27264142,0.27518025,0.275848,0.27366278,0.26952,0.26581755,0.26364887,0.26230773,0.2599834,0.25558874,0.24987787,0.24519621,0.24479455,0.25079829,0.26300782,0.2771959,0.28734306,0.28828177,0.2806385,0.2700874,0.264245,0.26594794,0.27111045,0.27061293,0.25640932,0.22662477,0.18788761,0.15234001,0.13270034,0.13514723,0.1584118,0.19450735,0.23468369,0.27051234,0.2962432,0.3117751,0.32512304,0.3506391,0.39468333,0.45018125,0.49741438,0.5213005,0.5164147,0.48661742,0.43929204,0.38508478,0.33810925,0.3094463,0.30291128,0.3141537,0.33639678,0.36303595,0.38766992,0.40335992,0.40406498,0.3887042,0.3625553,0.33579567,0.31638464,0.30701938,0.3043454,0.30439162,0.30392835,0.30177954,0.29799148,0.29489398,0.29614332,0.30302283,0.31237116,0.3181153,0.3174186,0.31237006,0.30754027,0.3040459,0.2987288,0.28628242,0.2638531,0.23237754,0.19773944,0.16869259,0.15446113,0.15857185,0.1768685,0.19957195,0.21882443,0.23249161,0.24233258,0.25008258,0.2556921,0.2596824,0.26533362,0.27894112,0.30665454,0.34564447,0.3817447,0.3944938,0.375667,0.3347814,0.29315886,0.26529142,0.2536034,0.25266036,0.25817242,0.2683839,0.2815094,0.29400206,0.30218902,0.3045355,0.3024808,0.29935202,0.29857862,0.3022525,0.3094864,0.31675053,0.31905398,0.31442294,0.3058684,0.30105045,0.30544004,0.3177013,0.32905832,0.33097073,0.32164788,0.30696857,0.29471472,0.28776243,0.28285444,0.27314344,0.2538524,0.22527397,0.1937085,0.16894455,0.16044821,0.17238931,0.20129134,0.23670584,0.26768193,0.28739226,0.29701105,0.302497,0.31217816,0.32988948,0.35484326,0.38191584,0.4077504,0.42798868,0.43627703,0.42472926,0.3942034,0.35647857,0.32916573,0.32356116,0.34280133,0.37945402,0.41924247,0.4417063,0.43510345,0.403067,0.36499247,0.34064046,0.34050837,0.3642387,0.4008626,0.43400216,0.44500193,0.4290277,0.39547908,0.36465636,0.34912637,0.35078225,0.36137882,0.37214288,0.37648138,0.3731519,0.3646781,0.35589013,0.35174176,0.35679236,0.37498656,0.40320456,0.43049765,0.44021714,0.42590785,0.3940142,0.3612322,0.34077168,0.3395482,0.3582561,0.3895825,0.4187089,0.42713276,0.40924248,0.3740202,0.3414295,0.32600906,0.33534417,0.3657168,0.40490973,0.43185255,0.43109068,0.4028765,0.36458758,0.33469522,0.3206922,0.31824014,0.31992146,0.32164574,0.322737,0.32398042,0.32565978,0.32749984,0.3284121,0.32779706,0.32599327,0.32420006,0.3231233,0.3219981,0.3196087,0.3147656,0.30887115,0.30478406,0.30740216,0.31768408,0.33256984,0.34388688,0.34701404,0.34206358,0.33477578,0.32864976,0.32328203,0.31315574,0.29291287,0.26028147,0.21984607,0.18115519,0.15579732,0.15135522,0.16860479,0.20044506,0.23580146,0.2648616,0.28385592,0.29709423,0.31354856,0.34232846,0.3837824,0.43076357,0.47109023,0.49733123,0.5041291,0.4881589,0.4486057,0.394256,0.34204194,0.30722925,0.2944806,0.29854593,0.31107607,0.32575202,0.33810928,0.3452439,0.34518054,0.33893582,0.3297768,0.32322004,0.32312742,0.3306321,0.34249306,0.35406163,0.3611476,0.36254096,0.35967973,0.3555785,0.35293052,0.3523222,0.35213962,0.34937564,0.34249404,0.33217368,0.32135782,0.31260195,0.30694005,0.3028628,0.2973177,0.28719306,0.27183762,0.25454783,0.24154441,0.23814882,0.2452553,0.25895232,0.27390957,0.28673157,0.29662097,0.3039718,0.30897662,0.31255755,0.317358,0.3280783,0.3487662,0.3773174,0.40371814,0.4134738,0.39992908,0.3687259,0.33606124,0.3167628,0.31924787,0.3423945,0.37624785,0.4044017,0.4119434,0.39664182,0.369369,0.34755763,0.3428456,0.3594756,0.39058903,0.42162743,0.4331298,0.4161487,0.37825117,0.33969328,0.3168571,0.31398407,0.32518888,0.34132233,0.35448018,0.35969606,0.35687134,0.35008797,0.34552488,0.3493699,0.36716568,0.40000954,0.4389491,0.4656851,0.46401158,0.43409872,0.39227772,0.35839927,0.3412925,0.33853614,0.34279433,0.34864783,0.3532144,0.357749,0.3670675,0.3870255,0.41682768,0.4474782,0.4657985,0.46453717,0.44480076,0.41483834,0.3831019,0.35617557,0.33628806,0.3227872,0.31292605,0.30386695,0.29376328,0.28184628,0.26892793,0.25677857,0.24739428,0.24122481,0.2366181,0.2307735,0.22177213,0.21009791,0.19823684,0.18870158,0.18202062,0.17663701,0.17049114,0.16273518,0.1541635,0.14647849,0.14145462,0.1402721,0.14398141,0.15426098,0.17290048,0.19987915,0.23111467,0.2614331,0.2867578,0.3068882,0.3201442,0.32359663,0.31213477,0.2863228,0.25334314,0.22780056,0.22234304,0.23994464,0.26975068,0.29482353,0.3040584,0.29927024,0.2928535,0.29935667,0.3270036,0.3710287,0.4147751,0.43851045,0.43365872,0.4061509,0.37058285,0.33757448,0.3112007,0.29003665,0.2721555,0.25575465,0.24049531,0.2270019,0.21618801,0.20784755,0.2006254,0.19275056,0.18235652,0.16692144,0.14396177,0.113181084,0.07869305,0.04912365,0.03529462,0.04746905,0.08821422,0.14827342,0.20611222,0.24317479,0.25617674,0.2614009,0.27858332,0.31556675,0.36133584,0.39634693,0.4064424,0.39258304,0.36711642,0.34406915,0.3299711,0.32403317,0.32232413,0.32121417,0.3169376,0.30427912,0.2813008,0.25365964,0.23854245,0.25208268,0.29975167,0.36736134,0.4338371,0.47958708,0.4954228,0.47995368,0.4409354,0.3929126,0.3519015,0.32725576,0.31808817,0.31690225,0.31598485,0.3122529,0.30720043,0.3039746,0.30396578,0.30611476,0.30852333,0.3099152,0.31030324,0.3100779,0.30997154,0.31038272,0.3114188,0.31337285,0.31716332,0.32483807,0.33513936,0.34234628,0.33594298,0.31008112,0.26675078,0.21620704,0.16848539,0.13062179,0.10567195,0.09382353,0.09114325,0.089949824,0.08352115,0.070655204,0.057333622,0.052921236,0.06562434,0.09928838,0.15009093,0.20808224,0.25874865,0.29345462,0.31079876,0.3198602,0.32988515,0.34983233,0.37931323,0.41201487,0.43342617,0.4340309,0.4131415,0.38218954,0.35368562,0.33499098,0.32550383,0.31951046,0.30996642,0.2917107,0.2665703,0.2443402,0.23728214,0.25096595,0.2780925,0.30524376,0.3210795,0.32386982,0.31647623,0.30336642,0.28783825,0.27574646,0.27390137,0.28698507,0.3116565,0.337647,0.35204363,0.34729,0.32348937,0.28776154,0.24971311,0.21931386,0.20425387,0.20748867,0.2249792,0.2473681,0.26628244,0.2793298,0.29060277,0.30451941,0.32122007,0.33557677,0.34250316,0.34151816,0.33932316,0.344651,0.36346516,0.39298072,0.42706215,0.45812634,0.4820203,0.49271712,0.48639345,0.4647238,0.43922815,0.42317024,0.42187035,0.42979845,0.4366955,0.4352982,0.42277658,0.4021964,0.38113263,0.3720493,0.3796953,0.39701128,0.40334213,0.38648686,0.34893095,0.30928442,0.28085315,0.2669897,0.2610492,0.2588972,0.2612076,0.2722601,0.2928659,0.31859264,0.34117532,0.3556507,0.3617046,0.36336648,0.36319414,0.3625337,0.3609645,0.35874698,0.3558867,0.35244274,0.34817612,0.34261742,0.3356491,0.32806084,0.32287496,0.32321683,0.32973185,0.33772758,0.34079477,0.3352207,0.32433334,0.31656298,0.32180595,0.34472668,0.3790754,0.40863442,0.41659737,0.40001008,0.37028274,0.34444955,0.33017513,0.32581326,0.32443345,0.32095852,0.31096625,0.29196998,0.26500273,0.2380898,0.22201164,0.22399461,0.24123454,0.26507768,0.28662762,0.30280435,0.3138168,0.3209639,0.32493126,0.32676855,0.329378,0.33522722,0.34578654,0.35768747,0.36533627,0.3613018,0.34059975,0.30260336,0.25411075,0.20885795,0.18032283,0.17331988,0.18169267,0.19618048,0.21437438,0.23961532,0.27416453,0.31043842,0.33575547,0.33961198,0.32270256,0.29690132,0.2795334,0.28256455,0.30441448,0.33202896,0.35420895,0.3700228,0.38660863,0.4043,0.4158469,0.41292366,0.3978667,0.37907493,0.3635836,0.35302237,0.34720778,0.34708157,0.3519539,0.35854945,0.361665,0.35914174,0.35237134,0.34521022,0.33996892,0.33607897,0.33102584,0.32314143,0.31299344,0.30279407,0.29507348,0.2924521,0.29733345,0.30877197,0.32055625,0.321456,0.3037666,0.26721656,0.2205066,0.17461856,0.14005347,0.12380386,0.12556225,0.13625488,0.14135356,0.13526262,0.1270339,0.13601561,0.17271942,0.22920918,0.28369865,0.31754205,0.32643583,0.31858572,0.30451295,0.28915644,0.27434435,0.2655028,0.2762095,0.31498125,0.3742256,0.4249272,0.44173548,0.41869065,0.37541878,0.3346064,0.30954865,0.30053353,0.30391225,0.31699553,0.33720088,0.36049214,0.37948212,0.38729346,0.3805366,0.36332667,0.34341705,0.32691774,0.3119695,0.29049155,0.2542369,0.20297454,0.14822246,0.109134056,0.10428191,0.13872452,0.20165597,0.26871803,0.31941476,0.3426021,0.34046924,0.31763208,0.28179127,0.24122876,0.20594962,0.18170875,0.16918658,0.16775906,0.17796451,0.20017089,0.22898467,0.25594187,0.27277467,0.27671704,0.26746082,0.24939846,0.23059471,0.22507419,0.24167538,0.28181604,0.33591592,0.3935585,0.44117168,0.46571514,0.45842326,0.42460456,0.3825276,0.350288,0.33538732,0.33334455,0.33582488,0.33593723,0.33292148,0.33280304,0.3468535,0.3782834,0.41563764,0.43390977,0.41795632,0.37340495,0.32461783,0.29167128,0.27951154,0.28043225,0.28669953,0.2967644,0.31273043,0.33400056,0.35502112,0.36796522,0.37028468,0.3655027,0.36107215,0.361017,0.3655599,0.37178972,0.37680885,0.37824258,0.374791,0.36701116,0.3574314,0.35050246,0.35037804,0.3585063,0.37166318,0.3832545,0.3875091,0.3825601,0.37074903,0.355742,0.34287217,0.3402113,0.35714996,0.39445305,0.43880996,0.4679697,0.46882775,0.4439762,0.4066737,0.36586487,0.32490686,0.28525352,0.2529593,0.23452568,0.23286545,0.24359663,0.25874022,0.2704973,0.27518487,0.27340433,0.26794353,0.26223266,0.2577908,0.25557497,0.25407827,0.25253758,0.2505846,0.25310457,0.2660446,0.29268432,0.32608232,0.35328922,0.36280647,0.3527968,0.3305066,0.3066899,0.28964773,0.2807391,0.275545,0.26803717,0.25768688,0.24931388,0.2476235,0.2510375,0.25399578,0.2546089,0.2560196,0.26209986,0.27073887,0.27929088,0.28832495,0.30317914,0.3249642,0.35086858,0.37624013,0.39870873,0.41277274,0.41034582,0.38694027,0.3484536,0.3082992,0.27700707,0.25852317,0.25008962,0.24843977,0.25054884,0.2567939,0.26863495,0.28785232,0.3120503,0.33534434,0.34998342,0.3523718,0.34434497,0.33189523,0.31937158,0.30675602,0.29143158,0.27283877,0.25736466,0.2525669,0.26135394,0.27352795,0.27564988,0.2579231,0.22350298,0.18136483,0.14288583,0.11630401,0.10559982,0.10757521,0.112255454,0.10924179,0.094334364,0.072514996,0.05304812,0.044181675,0.048970073,0.0649971,0.08510035,0.10086268,0.107115686,0.10594622,0.10751269,0.1263071,0.17429054,0.24986382,0.3346194,0.40001664,0.4277936,0.42057788,0.39771268,0.3769503,0.36342743,0.35147917,0.33323583,0.30659857,0.276501,0.25417206,0.24920283,0.26358786,0.28750643,0.30835667,0.31920335,0.32311437,0.32368806,0.31714264,0.29343966,0.2473095,0.1887588,0.1402742,0.12628098,0.15483882,0.21358943,0.27389818,0.31329224,0.3246962,0.3190985,0.30920485,0.3033019,0.30121878,0.3009187,0.29988062,0.29794827,0.29571617,0.29371026,0.29012582,0.28228715,0.27035084,0.25905573,0.25501272,0.26000267,0.27150404,0.2860835,0.30551323,0.33183804,0.36528382,0.40166125,0.43626606,0.46161577,0.46795532,0.45001388,0.41424346,0.37816837,0.35592595,0.3501476,0.35213235,0.35273576,0.34704435,0.33807793,0.33382288,0.34644616,0.37919283,0.42042163,0.44317663,0.42830825,0.3790171,0.31983826,0.27465037,0.2513335,0.24442261,0.24635534,0.25633743,0.27668184,0.3067995,0.3393563,0.3643645,0.37772417,0.3823892,0.3853227,0.388648,0.39177334,0.3927031,0.39299956,0.39396307,0.39611527,0.3969904,0.39362207,0.38355744,0.36769995,0.35074127,0.33881631,0.33485627,0.33511436,0.3327109,0.32276523,0.30827737,0.2982303,0.3041078,0.33136964,0.37435675,0.41629884,0.43905532,0.43495882,0.40860307,0.37057248,0.32727662,0.28207773,0.23699151,0.19758783,0.16974355,0.1599536,0.17132147,0.2023588,0.24373715,0.28164312,0.30427945,0.30841324,0.29970142,0.2867894,0.2760043,0.26925442,0.26657757,0.26773855,0.27287447,0.2807851,0.2877196,0.2873279,0.27372572,0.24624187,0.21183564,0.18261594,0.16965318,0.17778628,0.20376362,0.23778228,0.2691582,0.29249355,0.3101508,0.3259535,0.3379039,0.33816996,0.3216959,0.29346764,0.2660192,0.2511619,0.25201038,0.2631718,0.27557102,0.28430063,0.29052404,0.29827037,0.30856577,0.3178055,0.32010242,0.3098732,0.2844862,0.24727513,0.20993435,0.18948191,0.19736825,0.23060344,0.26917028,0.29067793,0.28573585,0.26905715,0.26547584,0.2884724,0.3238405,0.34102193,0.31868967,0.2638245,0.20705761,0.17820042,0.18783335,0.2245179,0.2732803,0.3234273,0.36869144,0.3952615,0.39083472,0.35544372,0.30975094,0.2786348,0.2776605,0.30674142,0.3576784,0.4164779,0.46607932,0.4925604,0.4949331,0.48587906,0.4795917,0.4799292,0.47980067,0.4716191,0.4535203,0.430239,0.40627098,0.38521597,0.36742738,0.35630772,0.35890388,0.3829035,0.42382184,0.4603666,0.46758756,0.43715015,0.38349405,0.3295498,0.29036704,0.27001286,0.266507,0.27577785,0.2911527,0.30593595,0.31539932,0.3179544,0.31202593,0.29828835,0.28087702,0.26868805,0.26786026,0.2780095,0.29183468,0.30248058,0.3080809,0.31242105,0.3215154,0.3377887,0.35813895,0.3739371,0.37926075,0.37366378,0.36340764,0.35393825,0.34857333,0.34752214,0.35101417,0.3582566,0.3680247,0.3787987,0.3899869,0.40084708,0.40998968,0.41569898,0.4174547,0.41606998,0.4121405,0.40667936,0.39979637,0.39378306,0.38904056,0.38955578,0.39884403,0.41990945,0.444073,0.45331097,0.43363142,0.38866806,0.33945894,0.304466,0.2895186,0.28758743,0.29095355,0.29514673,0.30140564,0.3149216,0.3442887,0.39025953,0.43925643,0.46458745,0.44849622,0.397159,0.33809045,0.29861924,0.28851092,0.3013077,0.32400095,0.34770373,0.36860514,0.38554657,0.3968285,0.39900577,0.3918868,0.37933743,0.36977604,0.3679025,0.3731582,0.37892482,0.38004625,0.37535533,0.3693813,0.36743388,0.3726288,0.3833637,0.39487848,0.40115273,0.39763317,0.3836244,0.3637366,0.3466735,0.3398076,0.34543595,0.36099148,0.38522145,0.41861227,0.45736757,0.48793444,0.4926325,0.46597847,0.42016208,0.37817988,0.35557798,0.35391688,0.36394808,0.37509552,0.3821113,0.38414106,0.3828858,0.37771618,0.36754668,0.35284224,0.33872834,0.33229992,0.33625567,0.3462211,0.3531389,0.3519642,0.34394583,0.33493856,0.3296938,0.33021286,0.3351752,0.3403586,0.34001812,0.32984546,0.3082124,0.27671233,0.24010755,0.20916891,0.19727801,0.21270585,0.24984066,0.29150867,0.3204057,0.32939485,0.32326826,0.31183112,0.3034401,0.30147895,0.30488357,0.3094604,0.30914333,0.29770532,0.27370343,0.24666034,0.23728319,0.26311755,0.319921,0.3780628,0.40382102,0.38670573,0.3447031,0.30633625,0.28764126,0.28788748,0.29733256,0.30795226,0.31568393,0.31982386,0.32092842,0.32083702,0.32201278,0.32754198,0.33940554,0.35821638,0.38185644,0.40660188,0.42620417,0.43506,0.42988673,0.4145106,0.39741018,0.38742998,0.38656005,0.3891156,0.38652992,0.3735529,0.35239568,0.32969636,0.3117135,0.29743245,0.27969253,0.25133875,0.21575145,0.18754798,0.18374169,0.20933838,0.2523878,0.29155514,0.31037724,0.30581525,0.286683,0.26480213,0.24746342,0.23406905,0.22208071,0.21476583,0.22642337,0.26890865,0.33647457,0.39866564,0.42369154,0.4011121,0.35115957,0.3044944,0.28238153,0.28614584,0.30381176,0.3191282,0.32262942,0.31472278,0.30519518,0.30284807,0.31053233,0.32305777,0.33416045,0.33908632,0.3361958,0.3258754,0.31211832,0.3023695,0.30355218,0.31741455,0.3382434,0.3561413,0.36109832,0.34727505,0.31558362,0.27286324,0.22918272,0.19387501,0.17535584,0.17934532,0.20487998,0.24014525,0.26512912,0.26305673,0.22987385,0.17813517,0.12886696,0.103348844,0.11117319,0.14794134,0.19417077,0.22785498,0.23261416,0.20899634,0.17272656,0.15159845,0.17133403,0.238137,0.33094487,0.4102304,0.44893873,0.4458054,0.42297736,0.4003143,0.38601908,0.3770536,0.369457,0.36098197,0.353007,0.35075095,0.36451212,0.39800975,0.44166195,0.47007164,0.46458045,0.4259728,0.37627983,0.33763352,0.31860253,0.31407735,0.31533018,0.31937495,0.32812104,0.3440529,0.36475062,0.38335,0.39396754,0.39476463,0.3891157,0.38146928,0.37707528,0.3785244,0.3853904,0.39242312,0.39459303,0.39037395,0.38406336,0.38126853,0.38486636,0.39255324,0.39868662,0.39823624,0.38909698,0.37299418,0.3528165,0.33292794,0.32010582,0.3244044,0.35263562,0.39833656,0.44106892,0.45832512,0.44403198,0.41011402,0.37548104,0.35053834,0.33626,0.32989356,0.32953453,0.33317474,0.33665374,0.33562076,0.32730088,0.31264606,0.2958975,0.28443888,0.28552806,0.3019354,0.32911226,0.3570894,0.37732115,0.38671735,0.3890415,0.38968062,0.39215901,0.39434448,0.39058137,0.37523523,0.34709767,0.30928668,0.26755515,0.22895233,0.20260394,0.19655614,0.21224476,0.24052799,0.26694927,0.28143084,0.28348026,0.27895522,0.2720184,0.26207575,0.24522926,0.21947128,0.18634188,0.1506523,0.11763746,0.094052814,0.089827776,0.11888367,0.18759759,0.28281727,0.3699391,0.41539332,0.41065848,0.37616107,0.3409387,0.32076642,0.31621447,0.32083586,0.32999396,0.33958802,0.34691086,0.35073462,0.35303625,0.3558726,0.35989133,0.3637136,0.36649767,0.3683059,0.37017223,0.3721662,0.37385896,0.37483755,0.3766708,0.3821368,0.39236793,0.40373087,0.4079471,0.3976489,0.37165168,0.3379092,0.30780438,0.2888644,0.27721462,0.26260638,0.23776509,0.20927739,0.19311954,0.20310633,0.23873417,0.28610894,0.3281058,0.35339162,0.35835162,0.34308827,0.31183848,0.27542865,0.25056106,0.2516102,0.28196433,0.3341428,0.3932303,0.44316053,0.4686915,0.46433342,0.4370197,0.40462634,0.38400534,0.38383436,0.40280345,0.43083727,0.4532925,0.45647612,0.4385332,0.40955517,0.38614056,0.3788186,0.38981888,0.41233003,0.43458644,0.44317782,0.4317502,0.4061092,0.38049552,0.36722958,0.36933386,0.38233998,0.3983929,0.41017452,0.4124467,0.40455723,0.39009812,0.374709,0.36279133,0.35794804,0.36270925,0.3789452,0.40340564,0.4290026,0.44522217,0.4462711,0.43229792,0.41236433,0.39775565,0.39762452,0.41177002,0.43260226,0.4513593,0.4657508,0.4798547,0.495438,0.50777775,0.5073573,0.49078655,0.46180543,0.42989242,0.40237007,0.38357535,0.3729246,0.3663,0.35851213,0.34726584,0.33451143,0.3231306,0.31370744,0.304317,0.2932491,0.2808994,0.26923284,0.26001987,0.2537231,0.24970032,0.24729198,0.2464499,0.24779105,0.25161687,0.25725797,0.26276302,0.26642525,0.26735243,0.2657373,0.2608025,0.2522356,0.24172682,0.23462248,0.23584229,0.24565084,0.25914228,0.2701598,0.2759469,0.27711233,0.27615985,0.27515483,0.27560675,0.27833855,0.28310144,0.28836477,0.2916474,0.29149258,0.28853357,0.28549913,0.28571904,0.29290882,0.31045523,0.339587,0.37416044,0.402047,0.41068956,0.39935848,0.37780288,0.3605218,0.35397854,0.35695353,0.3636067,0.36972287,0.3736073,0.37465975,0.37319255,0.36933872,0.3645939,0.36023596,0.357501,0.35611108,0.35508606,0.35336956,0.35050762,0.34681067,0.34333614,0.34218928,0.34562114,0.35299373,0.3587159,0.35394213,0.33381918,0.30196595,0.26962146,0.24712402,0.23930778,0.24322385,0.25369847,0.26475623,0.2736863,0.27909863,0.28209674,0.28474155,0.29209635,0.31146944,0.347398,0.3928165,0.42809963,0.43290663,0.40405405,0.35768428,0.3187679,0.30361137,0.31799355,0.35431495,0.39795458,0.42754868,0.4320772,0.414247,0.39100623,0.37518862,0.37064517,0.37205812,0.37431112,0.3746945,0.37343737,0.37164137,0.37090662,0.3719764,0.37439778,0.37669274,0.37735784,0.37571988,0.37151,0.36496815,0.35626206,0.34617135,0.33690277,0.3323351,0.33641103,0.34799504,0.3597834,0.36163273,0.3499043,0.33000675,0.31211448,0.30237505,0.30006266,0.30072254,0.30077496,0.29939404,0.297399,0.29602054,0.29607412,0.2978015,0.30051264,0.3024085,0.3014287,0.2966514,0.28955278,0.28281596,0.27895746,0.2791441,0.28560308,0.30215907,0.33323887,0.37564227,0.41667357,0.43801442,0.43166217,0.4052653,0.37694368,0.35943505,0.35382307,0.353918,0.35430256,0.3536665,0.3521781,0.34960237,0.34532747,0.3398057,0.33527765,0.33424714,0.33809265,0.3452222,0.35226354,0.35552967,0.3535695,0.34777477,0.34217796,0.34168682,0.34821963,0.35765627,0.3601081,0.3472269,0.31868172,0.28346738,0.25253204,0.23293035,0.22597061,0.23057328,0.24422593,0.26290163,0.28132728,0.29535964,0.30443117,0.31271562,0.32804987,0.35834157,0.40147924,0.44231138,0.45750093,0.43668112,0.3895032,0.34178272,0.31544852,0.32138202,0.3567386,0.40756035,0.45194077,0.46967545,0.4573784,0.42841396,0.40309107,0.39099362,0.39069605,0.39484513,0.39884853,0.40187308,0.4061794,0.4165709,0.43588796,0.46056983,0.4780531,0.47583804,0.4517897,0.4172467,0.38755462,0.3708985,0.3661013,0.36760435,0.371835,0.37787437,0.38550213,0.39272618,0.396268,0.3944825,0.38922784,0.3843951,0.38228068,0.38169512,0.38023075,0.3765535,0.3720328,0.36868918,0.36832833,0.37104702,0.3761795,0.38220835,0.38760552,0.39073074,0.3905345,0.3867708,0.3802282,0.37231585,0.36477533,0.35999057,0.36173463,0.37435737,0.39848527,0.42645076,0.44426188,0.44099465,0.41853318,0.38907453,0.36581877,0.35288033,0.3476886,0.3454541,0.34463277,0.3449749,0.3466582,0.34870017,0.35017422,0.35041347,0.3498534,0.3499514,0.3523815,0.35726377,0.36201298,0.36315894,0.3590112,0.3522314,0.34745875,0.3488182,0.3541824,0.3566852,0.34641686,0.32012162,0.28226718,0.2449526,0.21925749,0.21185856,0.22230877,0.24461381,0.26937422,0.28792652,0.29624498,0.29630402,0.29481784,0.3009145,0.3232527,0.36325932,0.40931058,0.43902624,0.43488947,0.39888397,0.35116103,0.31562468,0.30562636,0.32381186,0.3617814,0.40464124,0.43223223,0.4344664,0.41477764,0.38959643,0.37145463,0.3647633,0.36505482,0.36738396,0.36841616,0.36768353,0.3660393,0.36485258,0.36503303,0.36686864,0.37021837,0.3744723,0.3783618,0.3803697,0.37972692,0.37706336,0.37393928,0.3726201,0.37498513,0.38100436,0.3863362,0.38397816,0.36954895,0.34594634,0.32145968,0.30313376,0.29248253,0.28717205,0.2845494,0.2837318,0.28427333,0.28627488,0.28942597,0.29345164,0.29684475,0.29815444,0.29661086,0.29334542,0.29012415,0.28851905,0.28857654,0.28945515,0.29077962,0.29527453,0.3086129,0.33517766,0.37125683,0.4048196,0.4224386,0.42050457,0.40554154,0.38991508,0.38227606,0.38771915,0.40436247,0.42490685,0.4360882,0.42905816,0.4055582,0.37885633,0.36375228,0.3687018,0.39311638,0.42757094,0.45685458,0.46516123,0.4471893,0.41158304,0.37640652,0.35688332,0.35943505,0.3803436,0.4087474,0.4304079,0.43548563,0.42410222,0.40584898,0.39274868,0.3932022,0.4105114,0.43981662,0.4688557,0.4806149,0.46752334,0.4359207,0.4031235,0.38211736,0.37651518,0.38175723,0.3927629,0.40462664,0.41497377,0.42291763,0.43262434,0.4470222,0.4661732,0.4836054,0.4933976,0.4916977,0.4785259,0.45558718,0.42774656,0.40129223,0.38058814,0.3643824,0.34849307,0.3298745,0.30921793,0.28922382,0.27263382,0.2612543,0.25540435,0.254019,0.25506642,0.25711992,0.2600573,0.2643946,0.2700678,0.27595428,0.28060678,0.28364918,0.28590932,0.29091883,0.3007045,0.31530437,0.32865477,0.33707127,0.340664,0.34547833,0.3543012,0.36499193,0.37310734,0.3768213,0.37770173,0.3764349,0.37302282,0.3666564,0.35923985,0.35337508,0.35332748,0.36101186,0.37647435,0.39530447,0.4135274,0.42852286,0.44197562,0.4559866,0.4717902,0.48715457,0.49695894,0.49539995,0.4795684,0.4531094,0.42401776,0.4007181,0.38665295,0.38090277,0.37999675,0.38118032,0.3824359,0.38283038,0.38196245,0.3804407,0.3787881,0.3775318,0.37687004,0.3778243,0.38087866,0.38509324,0.3874692,0.38568893,0.38095176,0.37771285,0.38081506,0.3903645,0.40192184,0.4082962,0.4060788,0.3968532,0.38645473,0.3791795,0.37533474,0.37053135,0.3584255,0.3333257,0.29415306,0.24726294,0.2056625,0.182616,0.1832908,0.2027474,0.23121403,0.26230475,0.29394534,0.3252122,0.3542583,0.3812468,0.40864858,0.43691435,0.46199718,0.47886503,0.4853731,0.48072648,0.46243688,0.4314263,0.394938,0.36579773,0.35067356,0.34924972,0.35580078,0.36729386,0.38189158,0.398029,0.41209838,0.4196892,0.41780898,0.40641347,0.39052406,0.3769562,0.37182882,0.3750979,0.38280633,0.38919616,0.39282897,0.3956128,0.401051,0.4084941,0.41330862,0.40956643,0.3958739,0.3767593,0.35924765,0.3482714,0.34303513,0.33839896,0.32570496,0.2984033,0.2562973,0.21035232,0.1776879,0.17149226,0.19178677,0.2262183,0.26071694,0.28727457,0.30598965,0.3187884,0.3273493,0.33183706,0.334383,0.3386844,0.35069922,0.37236127,0.39817712,0.41439915,0.40991464,0.38516095,0.3525559,0.32655874,0.31441912,0.31543747,0.32426164,0.33492693,0.342598,0.34546182,0.34544218,0.3459324,0.34931087,0.354754,0.3606417,0.36552438,0.36937356,0.37107977,0.36885646,0.36206427,0.35417807,0.3520762,0.36077714,0.37845027,0.3960633,0.40314135,0.39524576,0.37610117,0.35455707,0.33774439,0.32751957,0.31972745,0.30713645,0.28372964,0.2502287,0.21597826,0.19571169,0.19892044,0.22385211,0.25736395,0.28596032,0.30219197,0.30697086,0.30554262,0.3049455,0.3130305,0.33310425,0.3630986,0.39400277,0.41742632,0.42590252,0.41628954,0.39014614,0.35579744,0.32569933,0.30990925,0.31422237,0.33744276,0.37225786,0.40403962,0.41977704,0.41600218,0.4015551,0.38957343,0.38923165,0.40419242,0.43041578,0.4578074,0.47083473,0.46183753,0.43522274,0.40688863,0.38945773,0.3870723,0.39438686,0.40365013,0.40759084,0.40331814,0.39255896,0.38079083,0.3735125,0.3744516,0.3860928,0.4074572,0.4326932,0.45039758,0.4527206,0.440693,0.42469034,0.41579762,0.42029312,0.4381629,0.462293,0.480134,0.4779413,0.45217696,0.41193154,0.37472236,0.35382792,0.3554184,0.37663123,0.40811598,0.43384358,0.44033647,0.42525962,0.3998452,0.37858674,0.36897674,0.3697975,0.37626967,0.38467732,0.3925319,0.39856026,0.40239596,0.40494892,0.4066476,0.4071647,0.40551564,0.40193215,0.39788124,0.39532456,0.39478764,0.39505672,0.39457187,0.39320335,0.39301205,0.39538217,0.39937392,0.40083206,0.39709,0.3888205,0.3804376,0.3750135,0.37208617,0.3672061,0.3549217,0.33129203,0.29684755,0.25839543,0.22796611,0.21652944,0.22721827,0.25334656,0.28497395,0.31562448,0.343897,0.36993742,0.3939884,0.41757974,0.44241825,0.46662417,0.48494124,0.49150774,0.4836968,0.45874348,0.41734448,0.36634815,0.32090405,0.29398948,0.28800896,0.29637107,0.31105652,0.32837173,0.34490052,0.3575677,0.3642304,0.36781278,0.37264767,0.38056076,0.3893558,0.39574137,0.39919138,0.4001403,0.39895537,0.39440593,0.3875425,0.38210818,0.38338554,0.39226842,0.40392765,0.409829,0.40584162,0.39421973,0.38223925,0.37426665,0.37037632,0.36640716,0.35923138,0.34749034,0.33337966,0.32084182,0.31480095,0.31838003,0.33121148,0.349754,0.36850736,0.3829708,0.39015198,0.38999248,0.3845936,0.3781098,0.37559,0.38158038,0.39833847,0.42192316,0.44288266,0.45017004,0.44101432,0.4218806,0.4047848,0.39794266,0.40475133,0.4226112,0.44385806,0.4562595,0.450698,0.42884573,0.40220034,0.3840722,0.38097546,0.39393568,0.41727018,0.44090474,0.45051536,0.4398581,0.4148647,0.3913351,0.3807341,0.38463202,0.39639017,0.4077762,0.41250944,0.40835163,0.39810207,0.38815442,0.38505355,0.39263234,0.41186452,0.43870637,0.46359488,0.47319666,0.46068308,0.43152562,0.40115616,0.38351953,0.38384065,0.3992635,0.42231262,0.44327772,0.45247802,0.44576702,0.427534,0.40722632,0.39251673,0.38629153,0.38806653,0.39511836,0.40232262,0.40441218,0.39967874,0.3909459,0.38123754,0.3702611,0.35561717,0.33694065,0.31809533,0.3045167,0.30004808,0.30371293,0.31127813,0.31706277,0.31804577,0.3135446,0.30462483,0.29148754,0.2743732,0.25388482,0.2320888,0.21076007,0.19159257,0.17548306,0.16411383,0.15840259,0.15830618,0.16217047,0.16870551,0.17811127,0.19135016,0.20928289,0.23249073,0.26193762,0.29713324,0.33265975,0.3581215,0.36247063,0.34174815,0.30219772,0.25847888,0.22661269,0.2171737,0.23057091,0.25771233,0.28503808,0.30232692,0.30708566,0.30431762,0.30134985,0.30379644,0.31297898,0.3268167,0.34104073,0.3522565,0.359135,0.3632759,0.36673105,0.3714607,0.37767327,0.3849978,0.3913964,0.39388934,0.38865975,0.3734486,0.35017142,0.32501337,0.3059026,0.29683176,0.29661357,0.30010578,0.30288994,0.30280295,0.2997795,0.29406783,0.28430203,0.2670643,0.23857422,0.19955368,0.15920113,0.13332635,0.13615978,0.16969492,0.22116685,0.26992974,0.30187514,0.31617844,0.32269046,0.3298202,0.3397602,0.34906963,0.35496715,0.35472104,0.3445575,0.3193294,0.2783091,0.22921252,0.18728298,0.16705215,0.17460452,0.20468245,0.24651913,0.2902052,0.33047104,0.36346766,0.38540944,0.39280215,0.3871406,0.37475523,0.36410746,0.35894594,0.35704207,0.3526423,0.34295097,0.32994547,0.31838775,0.31147978,0.30932435,0.31023183,0.31252566,0.31529865,0.31772444,0.3191974,0.31947085,0.3195461,0.31976143,0.31880584,0.31115758,0.29067737,0.25341156,0.20311947,0.14847104,0.09956163,0.06237556,0.039337814,0.031102994,0.03719827,0.054497797,0.075164914,0.08948768,0.09013581,0.0774915,0.060240377,0.05300787,0.07021149,0.11741277,0.18679869,0.25843412,0.31443182,0.34719536,0.36405537,0.3745432,0.38557425,0.39563024,0.4016985,0.40019274,0.39113298,0.37697837,0.3622632,0.35067785,0.34316826,0.33807704,0.33219877,0.32221183,0.30536982,0.28250292,0.2590412,0.24447672,0.24489485,0.26014665,0.28294656,0.30616033,0.32462958,0.33676246,0.34221402,0.34282824,0.3421702,0.3440676,0.34994838,0.35770476,0.36312458,0.3625476,0.35456696,0.33965966,0.31864503,0.29283497,0.26552856,0.24302603,0.23175804,0.23412164,0.2461993,0.26082072,0.2726017,0.28139004,0.29085574,0.30478394,0.32365355,0.34440616,0.36213446,0.37303063,0.37548983,0.37066558,0.36138558,0.35248724,0.34894106,0.35369298,0.3650532,0.37804475,0.3882409,0.39418915,0.39737764,0.3991873,0.40013364,0.39857778,0.392769,0.38118327,0.36533073,0.3485868,0.33570406,0.3296257,0.33110714,0.33842418,0.3485978,0.3582106,0.36411056,0.36446807,0.35936758,0.3510991,0.34256065,0.33601817,0.33208147,0.33083907,0.3319082,0.33469573,0.33748403,0.33834943,0.33595657,0.331014,0.32638815,0.326668,0.33487335,0.34930897,0.3618741,0.36363915,0.3510404,0.3300359,0.31086814,0.3019512,0.30523127,0.3173236,0.3320352,0.34290934,0.34623742,0.34260145,0.3385736,0.34364286,0.36585748,0.40221903,0.43799773,0.45269594,0.43820083,0.4030803,0.36718544,0.3437469,0.33511615,0.33558926,0.33990642,0.34418318,0.34504354,0.33950603,0.32771707,0.3140147,0.30499533,0.30552527,0.31608224,0.33218864,0.34649798,0.35269892,0.34844658,0.33590543,0.3196609,0.30659965,0.3043634,0.31806323,0.34415564,0.37062034,0.38275632,0.3709995,0.33542523,0.28697923,0.24475569,0.2265348,0.236124,0.26159465,0.28512552,0.30074003,0.31423494,0.33536443,0.3625811,0.38601685,0.3941195,0.3846654,0.3651367,0.3490225,0.3473325,0.36208022,0.3850353,0.40672258,0.4234338,0.43864512,0.45185265,0.45635605,0.44477352,0.41920438,0.39063954,0.3690509,0.35850954,0.35641253,0.35931584,0.36276177,0.36348048,0.35902318,0.35047397,0.34129086,0.33619976,0.33726528,0.3426167,0.3470969,0.34604752,0.33833137,0.32639065,0.31552926,0.31120095,0.3182861,0.33490166,0.35227597,0.35501945,0.33402273,0.29009232,0.23557116,0.18396533,0.14763388,0.1353984,0.15006416,0.18242086,0.2118755,0.22132407,0.21221729,0.20455325,0.21818452,0.25464752,0.29849458,0.3317065,0.34784952,0.35210046,0.3548752,0.36426938,0.38241577,0.4060799,0.43194127,0.45803264,0.48182902,0.49308845,0.48234388,0.44891205,0.40684307,0.3710231,0.34723166,0.33259854,0.3237621,0.3225626,0.32993534,0.34446004,0.35946348,0.36936712,0.37066117,0.36575493,0.35888398,0.35184214,0.33885702,0.31019965,0.2606491,0.19706,0.13812868,0.106330805,0.11763632,0.17028679,0.24452297,0.3098128,0.3452796,0.34640133,0.32486865,0.29374728,0.26498213,0.2475223,0.24870801,0.26875487,0.29766285,0.31958988,0.3209199,0.29936722,0.2646994,0.23500158,0.2257576,0.24156852,0.27275506,0.30407777,0.32542968,0.3387469,0.35192773,0.37250474,0.40186974,0.43642148,0.46494052,0.4735699,0.4541057,0.41466448,0.3743209,0.35000232,0.34471083,0.35138056,0.36058187,0.36794376,0.37444338,0.38553134,0.40603673,0.432772,0.452962,0.45147923,0.4255922,0.3874184,0.35506102,0.33788106,0.33356044,0.33541778,0.34010884,0.34975752,0.3650441,0.38191548,0.39058197,0.38468337,0.36506614,0.34072253,0.32030144,0.3085176,0.30465052,0.3059773,0.30922464,0.31189907,0.31297693,0.31274477,0.31249097,0.31381047,0.31925043,0.33183786,0.35195544,0.375881,0.3958107,0.4069617,0.40658328,0.3962277,0.37839344,0.36513558,0.37144265,0.4057766,0.45523402,0.49571648,0.50988793,0.49814072,0.46969905,0.4306008,0.38388777,0.3353978,0.2963133,0.2756679,0.2748934,0.28606376,0.29849923,0.30366695,0.2995967,0.28881428,0.27663517,0.26753548,0.2636083,0.2642355,0.26713696,0.27055764,0.27285334,0.27389213,0.27605903,0.28477955,0.30546585,0.33722878,0.3724226,0.39887336,0.4090031,0.40341017,0.39052925,0.378397,0.36734334,0.35163662,0.32751462,0.30076626,0.2813652,0.2744095,0.27594376,0.27973476,0.28368115,0.28924203,0.29549804,0.29742214,0.28754115,0.26247522,0.22631675,0.19475633,0.1877914,0.21826084,0.27976385,0.3505591,0.40785822,0.43992445,0.4462441,0.4308006,0.39971995,0.36204255,0.32848716,0.30590132,0.2948805,0.29241428,0.2966581,0.3070365,0.32243022,0.33973917,0.3559475,0.3700188,0.38287973,0.39530823,0.4055184,0.40968978,0.40448117,0.39057025,0.37250265,0.355697,0.34230566,0.33069625,0.3176149,0.30135146,0.28255257,0.2635089,0.24686687,0.23445351,0.22720045,0.22445922,0.22494753,0.22623561,0.22615232,0.22269069,0.21577896,0.2068665,0.19854073,0.1921642,0.18727924,0.18228374,0.17686737,0.17387831,0.17893817,0.19816901,0.23213553,0.27427983,0.3117657,0.33615378,0.34690008,0.3518223,0.35658073,0.36073324,0.35841572,0.34571695,0.32536379,0.30539313,0.29479522,0.29804894,0.31378746,0.33549246,0.35543218,0.36812684,0.37182772,0.36642197,0.3508803,0.32342318,0.284982,0.24271043,0.20938742,0.19884233,0.21754777,0.2603966,0.31118074,0.35289553,0.37592065,0.3822987,0.3797941,0.3758603,0.37360176,0.372925,0.37274256,0.3725495,0.37234807,0.37133035,0.36761725,0.35987258,0.34959126,0.3405588,0.33542275,0.3334879,0.33180425,0.32852936,0.32349932,0.31833342,0.31519726,0.31707326,0.3249646,0.33698142,0.34836307,0.35521534,0.35601828,0.35222137,0.3466272,0.34286723,0.34327674,0.34763595,0.3522888,0.3534217,0.3498017,0.34392825,0.3380232,0.33100653,0.31762764,0.2929432,0.25620034,0.21324123,0.17318684,0.1439216,0.12777315,0.12223923,0.122955,0.12702744,0.13366842,0.14397158,0.16071005,0.18769819,0.22632594,0.2722467,0.3156605,0.34857777,0.370024,0.3859365,0.40107393,0.41410324,0.41801754,0.40626356,0.37947306,0.34677997,0.3218532,0.3118986,0.31252006,0.3111417,0.29949042,0.2811461,0.26922035,0.27749905,0.3122894,0.36806902,0.42801273,0.4704741,0.4807671,0.45812944,0.41349003,0.35998532,0.30732417,0.26157895,0.2272781,0.20808388,0.20703338,0.22567208,0.2610633,0.30302194,0.3370322,0.35247687,0.34888384,0.334429,0.3189714,0.30835703,0.30382052,0.30448672,0.31081697,0.3246034,0.34680757,0.3728768,0.3924842,0.39336488,0.36936495,0.32492504,0.27373537,0.23245607,0.21369298,0.22294937,0.25581637,0.30022955,0.33957803,0.36392403,0.3731878,0.376042,0.37742618,0.37570393,0.36453596,0.34290138,0.31791008,0.301237,0.30051124,0.31345955,0.33144215,0.34657872,0.3569163,0.3636736,0.36662138,0.36235,0.34631023,0.31650722,0.27753145,0.24044375,0.2198037,0.22253008,0.24399902,0.2661953,0.27233517,0.25651956,0.23301697,0.2237102,0.24158199,0.2755756,0.29848647,0.28849396,0.24749774,0.20014566,0.17273267,0.17659974,0.20306195,0.23944966,0.27461126,0.3026125,0.31269705,0.30019096,0.27005568,0.24274963,0.23482217,0.2516737,0.28419092,0.3230958,0.36162367,0.39550832,0.41850558,0.42705527,0.42330253,0.41518208,0.4092404,0.40757862,0.4056941,0.39672127,0.375407,0.3443811,0.31381932,0.2963071,0.29963186,0.3261836,0.3705608,0.4204813,0.45493326,0.4590268,0.43188706,0.39132857,0.35757843,0.34404528,0.3515936,0.3739635,0.401063,0.42389402,0.4379181,0.44355622,0.4429834,0.4366484,0.4250712,0.41159964,0.40252185,0.40192342,0.40819836,0.41591272,0.42119217,0.42486632,0.4306591,0.4402881,0.45070386,0.45533088,0.4499873,0.4366467,0.4221344,0.41210225,0.40739366,0.4055582,0.40508774,0.4070367,0.41322735,0.4235228,0.43476796,0.4429876,0.44495356,0.44096288,0.43333042,0.4266298,0.42385533,0.42633545,0.4325824,0.4408811,0.45008817,0.45998427,0.47095954,0.48208693,0.48927447,0.4848883,0.46344364,0.42893577,0.3935854,0.3692213,0.35748675,0.35274172,0.34872174,0.34419236,0.34050003,0.3407065,0.3489132,0.36880755,0.39586857,0.41544363,0.41106406,0.38069165,0.34005344,0.31070483,0.30343983,0.31423327,0.3324547,0.34994006,0.36572304,0.3814068,0.39709637,0.40587306,0.4017893,0.3851849,0.36797702,0.36046076,0.36383715,0.36690292,0.36022735,0.34362724,0.32756066,0.3223867,0.33265236,0.35515773,0.38326573,0.40877843,0.4244357,0.42590356,0.41466627,0.39854625,0.38684273,0.38506356,0.39123508,0.40087068,0.41155565,0.42413595,0.43701467,0.44303617,0.43437377,0.4105687,0.38089046,0.35739613,0.34632254,0.3455846,0.34872285,0.35097316,0.35222283,0.35453677,0.35724398,0.35331276,0.3350371,0.30256963,0.26897117,0.24991621,0.25095242,0.2619762,0.26994848,0.2690104,0.26340094,0.25640798,0.24983378,0.24533345,0.24994166,0.26739576,0.29251173,0.30909994,0.30183816,0.26716742,0.22019722,0.18795967,0.19366042,0.24100089,0.30968615,0.3699626,0.40051544,0.40062985,0.38388887,0.36666736,0.35785282,0.3576553,0.36095318,0.36062637,0.34916353,0.3226117,0.2861562,0.2579008,0.2577844,0.2917895,0.3428699,0.38456115,0.40132585,0.39747775,0.38722944,0.37878534,0.36870143,0.34677306,0.30618095,0.24883623,0.18523009,0.12779462,0.085300915,0.06007834,0.05077778,0.054376114,0.06683891,0.08363235,0.10170012,0.12431667,0.15736221,0.20544899,0.26178962,0.31509534,0.3526307,0.3716503,0.373466,0.3646722,0.3505285,0.33749902,0.32907113,0.32513937,0.31930804,0.30208385,0.26833394,0.22567938,0.19422299,0.19420882,0.23034286,0.28701717,0.33888558,0.3673687,0.36950848,0.3544383,0.33411983,0.31547412,0.29823253,0.2792528,0.26016584,0.25355673,0.2732835,0.3208971,0.37559152,0.411515,0.41555247,0.39791498,0.37629426,0.36257935,0.35538864,0.34797287,0.3340856,0.3133176,0.29067585,0.27608463,0.27878422,0.30220425,0.3390397,0.37466642,0.39255786,0.3819668,0.34281862,0.2883139,0.2430485,0.22898448,0.2516755,0.29206333,0.32176587,0.321952,0.2951361,0.2560585,0.21761388,0.18605244,0.16644429,0.1683271,0.1983757,0.25067055,0.30336332,0.3317764,0.32190356,0.2778722,0.21703486,0.16334964,0.13918932,0.15552951,0.20526452,0.26295033,0.30038562,0.30055645,0.26965868,0.23170668,0.21817482,0.24847126,0.3164244,0.39185444,0.4406177,0.44982052,0.4315672,0.40902972,0.3954946,0.39174092,0.39226866,0.3947477,0.39969704,0.40744618,0.41548344,0.4194152,0.41732475,0.4105964,0.40322223,0.39607334,0.38781404,0.37675133,0.36517707,0.3561981,0.3516557,0.3519812,0.36060598,0.38165772,0.41366336,0.44487575,0.46080855,0.45492312,0.4324584,0.40375158,0.3772311,0.3583169,0.35106596,0.3565583,0.37034073,0.38331005,0.3883008,0.38491932,0.37967682,0.37932968,0.38634732,0.39679027,0.40509513,0.4060156,0.39797845,0.38151237,0.36231717,0.34934345,0.35392353,0.3792343,0.416757,0.44666624,0.4538876,0.4374105,0.41055313,0.3872985,0.373546,0.3676064,0.36586604,0.36567056,0.36467922,0.36065236,0.35185656,0.33765957,0.31958118,0.30361104,0.30001923,0.31779525,0.3564596,0.40276513,0.4383013,0.45141116,0.4454349,0.4350601,0.43521437,0.4493085,0.4661312,0.4687495,0.44798648,0.40962532,0.36714363,0.3312354,0.3051095,0.2901027,0.28874102,0.30152443,0.32230815,0.33993247,0.34716776,0.3446162,0.33928373,0.33597347,0.33436254,0.3294455,0.3172864,0.29775408,0.27451107,0.25337157,0.24173248,0.24921179,0.28267607,0.33800864,0.39564756,0.4308904,0.43184528,0.40773526,0.379122,0.36076298,0.35506448,0.35748348,0.3640407,0.37267825,0.38142538,0.38856003,0.39401057,0.39946294,0.40571472,0.41155723,0.4149582,0.41563466,0.41528746,0.41536614,0.41555607,0.41512632,0.4160862,0.42387947,0.44244012,0.46837977,0.48945698,0.49310267,0.47606012,0.4484845,0.4259125,0.41823876,0.42301178,0.4286822,0.42446968,0.40832338,0.3890792,0.3785831,0.3840519,0.4027541,0.42631423,0.44530383,0.45426175,0.45105985,0.43805757,0.42069575,0.407295,0.40463808,0.41542485,0.4378437,0.46613932,0.49301314,0.50911707,0.50825274,0.488749,0.45710352,0.42362395,0.39964223,0.39086103,0.39700565,0.4127235,0.43394005,0.45865858,0.48613593,0.5127526,0.532882,0.5407763,0.5336288,0.5127072,0.48330584,0.45315742,0.42851534,0.41219273,0.40370417,0.40302745,0.41069412,0.42481646,0.43821013,0.44172442,0.43179002,0.41257155,0.39298594,0.3803881,0.38139436,0.4000137,0.43627155,0.47961387,0.5128443,0.51936656,0.49472377,0.44887498,0.40214583,0.37451604,0.3744681,0.39485824,0.41806772,0.43072546,0.43145218,0.42962125,0.4333091,0.4436004,0.4547043,0.4601811,0.45558763,0.44033194,0.4174476,0.3938918,0.37779298,0.37599,0.39064837,0.41635743,0.43946302,0.44460198,0.4278926,0.40157124,0.38371667,0.38013038,0.38235784,0.37961578,0.37013698,0.3591361,0.3519208,0.35471046,0.37052965,0.39627337,0.41708183,0.4227024,0.4142412,0.4035298,0.3931236,0.37669218,0.34742346,0.3114506,0.2814786,0.26842225,0.27428737,0.29363808,0.31610885,0.3312941,0.33516,0.33184823,0.33025885,0.33604646,0.3492914,0.365559,0.3800583,0.38843694,0.3883085,0.3792641,0.36475906,0.35039005,0.34402588,0.35189664,0.37521228,0.40512714,0.4263357,0.42787686,0.4122518,0.39303985,0.38236812,0.38317832,0.39020136,0.39714065,0.40026975,0.39987472,0.39837384,0.39861572,0.40084934,0.40332946,0.40462163,0.40541515,0.40714467,0.40943047,0.41070497,0.4101715,0.40933168,0.41036284,0.414215,0.41907284,0.4199196,0.40988627,0.3839004,0.3434887,0.29732156,0.2576055,0.23370428,0.22920935,0.24107642,0.26198915,0.28300533,0.29801634,0.30541226,0.30797818,0.31148884,0.32456854,0.35632387,0.4065474,0.4590675,0.48621082,0.4707928,0.41986373,0.36163643,0.32514644,0.32654396,0.36372197,0.41894743,0.46547952,0.48240086,0.4687715,0.442834,0.42670932,0.42948303,0.44636953,0.46647182,0.48271617,0.49286112,0.49827528,0.50053114,0.50097305,0.5002289,0.4991872,0.4985018,0.4986361,0.4992815,0.5001635,0.50097615,0.5016108,0.50196046,0.5023465,0.5031915,0.50200605,0.49262437,0.46684435,0.42310643,0.3690219,0.31954017,0.2865772,0.27426127,0.27805498,0.2894012,0.29994574,0.30491865,0.30517745,0.30515584,0.3093011,0.31761453,0.32658565,0.33240283,0.3352673,0.33870864,0.34626165,0.3579063,0.37141642,0.38704428,0.4100897,0.44652364,0.49227336,0.5306428,0.5410745,0.5187177,0.47803736,0.44296813,0.42623186,0.42650223,0.434755,0.44585535,0.45807835,0.46995553,0.47773525,0.47883472,0.4750519,0.4717661,0.4737091,0.4808354,0.49003306,0.49825904,0.5055308,0.51162094,0.5145736,0.51088476,0.5004187,0.4862485,0.4709263,0.45170608,0.42321396,0.38395867,0.34042645,0.30299637,0.27961126,0.2714617,0.27501157,0.2844106,0.2950941,0.30429578,0.3120333,0.31994995,0.33288762,0.3579944,0.4022257,0.4598087,0.5103628,0.5254201,0.49520305,0.4344755,0.37682864,0.34888694,0.36231056,0.41017792,0.4715816,0.51869607,0.5308416,0.510876,0.47992787,0.462274,0.4656522,0.48405513,0.50537103,0.52134866,0.52949923,0.5339525,0.5444018,0.56673723,0.593515,0.6031191,0.5768296,0.5175603,0.44947425,0.40028515,0.38033542,0.38189283,0.38990113,0.3962332,0.40287468,0.41536668,0.4345819,0.45349875,0.4653246,0.46999645,0.47517788,0.48754537,0.5070782,0.5267784,0.5389286,0.5400186,0.53288174,0.5231585,0.5156551,0.5113538,0.50900984,0.5069049,0.50445247,0.50224334,0.5014897,0.5033563,0.50794697,0.51462644,0.5239122,0.53781253,0.5574974,0.5769145,0.5838545,0.5671411,0.5291669,0.4849907,0.45219624,0.43745148,0.43591478,0.439302,0.4429307,0.44682524,0.45061016,0.45300403,0.45148444,0.44638288,0.43965697,0.4346862,0.4336572,0.43753538,0.44569468,0.4552071,0.46195576,0.46322116,0.46164775,0.46383885,0.47324786,0.4839561,0.4820398,0.45691153,0.40939423,0.3525536,0.30242804,0.2706425,0.2596052,0.2642798,0.27565327,0.28669086,0.29497027,0.30184445,0.31047785,0.32623532,0.3576868,0.40952733,0.47216105,0.52018595,0.528681,0.4945418,0.4385388,0.39140844,0.37364435,0.3925366,0.4390061,0.49280873,0.526253,0.52453595,0.4944148,0.46032003,0.4418567,0.44313255,0.45538566,0.46938923,0.4806731,0.48908028,0.4953741,0.5002412,0.50364774,0.50554794,0.50611466,0.5062055,0.5066461,0.5076921,0.5085192,0.50812024,0.5061679,0.5048799,0.5077017,0.5168369,0.52790254,0.531367,0.51797277,0.48803425,0.45122305,0.41997623,0.39997515,0.38815305,0.3772924,0.36216295,0.3433288,0.3254365,0.31415823,0.31206286,0.31779256,0.32707596,0.33549014,0.34117994,0.34506062,0.34956595,0.35539746,0.3616486,0.36737058,0.3755226,0.39206037,0.4213376,0.45758304,0.48603487,0.49160063,0.4739804,0.446862,0.4301043,0.4355137,0.4660658,0.51370007,0.5617295,0.58834386,0.581362,0.54836816,0.5122606,0.49516523,0.50553745,0.538351,0.57695407,0.6005636,0.59201837,0.5530074,0.5030697,0.46820652,0.46163476,0.4798843,0.5079932,0.52981466,0.5344584,0.5211882,0.498328,0.47816575,0.47030008,0.47995996,0.50823116,0.54776603,0.583165,0.5960445,0.5821666,0.55299264,0.52935547,0.5244148,0.5406379,0.5705264,0.5999116,0.6126395,0.5984505,0.56398773,0.5270297,0.5058691,0.5041843,0.5147686,0.5245361,0.5248974,0.51276296,0.49281868,0.4734364,0.46352443,0.46890613,0.49173054,0.52791834,0.563283,0.578175,0.5603798,0.51899314,0.47707155,0.45456502,0.4529922,0.46149576,0.46795568,0.46705535,0.4589653,0.446238,0.43256232,0.42107618,0.41546845,0.41882882,0.4327068,0.45182005,0.4646194,0.46057567,0.4411776,0.42125806,0.4166168,0.43076456,0.45284405,0.47017798,0.4788818,0.48381004,0.49005726,0.49639878,0.49808845,0.4916266,0.47921082,0.4656353,0.45541131,0.44976583,0.44853652,0.45078325,0.45509318,0.45942506,0.4639134,0.47313276,0.49132457,0.51433426,0.5272058,0.51605,0.4819983,0.44169822,0.41407678,0.40564945,0.41087377,0.41951537,0.42559215,0.42817047,0.42897412,0.42987046,0.43193236,0.43685076,0.4459034,0.458935,0.4734209,0.48626444,0.49548483,0.49961558,0.49739185,0.48905024,0.47867045,0.4724189,0.47235096,0.47370663,0.4678955,0.45234016,0.43193808,0.41600296,0.40851796,0.4071288,0.40417957,0.39246365,0.36759183,0.33197603,0.29533163,0.27255526,0.27407587,0.2998081,0.3383673,0.3778328,0.41181865,0.44102857,0.46745142,0.49305156,0.5189981,0.54503864,0.56796896,0.58330244,0.5863419,0.5733107,0.54178566,0.49739766,0.45296153,0.42312613,0.4119308,0.4143363,0.4213452,0.42805982,0.43191123,0.4323252,0.43020532,0.42898405,0.43232182,0.44139442,0.4544263,0.46811473,0.48004505,0.48927176,0.49620685,0.5014489,0.50551003,0.50927895,0.5144798,0.52169496,0.5280381,0.526774,0.51288635,0.48785236,0.4600823,0.43849385,0.42677447,0.4230251,0.42295218,0.42333356,0.42206717,0.41834393,0.4127971,0.4077532,0.40611967,0.41017833,0.421273,0.43989876,0.46435907,0.49004635,0.51043177,0.52085537,0.5228793,0.5245548,0.53698295,0.5624177,0.5905567,0.6014204,0.5850476,0.5481393,0.5107663,0.48772797,0.48190698,0.48587546,0.49066392,0.49003646,0.4833901,0.47523698,0.4729637,0.47975668,0.49228993,0.5016442,0.50167006,0.4916722,0.47735396,0.46405116,0.45534456,0.4512355,0.45281014,0.46119943,0.47669628,0.4939489,0.5044234,0.5017666,0.48788345,0.47072184,0.456952,0.4462005,0.4318439,0.4069701,0.36925957,0.32318348,0.27853072,0.24733865,0.23912382,0.25579414,0.2899467,0.3290162,0.36261907,0.38802412,0.4081764,0.42956558,0.45688817,0.49208537,0.530084,0.5632584,0.58465415,0.591616,0.5823738,0.5561996,0.517968,0.47916225,0.45396194,0.44995022,0.4685936,0.50180095,0.53442526,0.5452593,0.5239449,0.47881708,0.43477213,0.41446474,0.42749965,0.46780467,0.5173099,0.5526521,0.5558701,0.528308,0.4881712,0.45860085,0.4499695,0.4608626,0.4814094,0.5018288,0.5118068,0.5068087,0.48908833,0.46886268,0.45767462,0.46442553,0.4907166,0.5260698,0.55084926,0.54620117,0.5123977,0.46710563,0.43497303,0.4284215,0.4479222,0.48375416,0.5206601,0.5400498,0.5295787,0.49443626,0.45445836,0.43251082,0.43961558,0.47317776,0.517778,0.55248785,0.55968064,0.53711563,0.49836484,0.46241915,0.43958163,0.42906472,0.4247549,0.4219927,0.41888335,0.4150335,0.41144013,0.41040567,0.41495275,0.42612377,0.44185027,0.45821607,0.47260705,0.4847578,0.49477014,0.50061554,0.4996716,0.49231878,0.4845495,0.4825518,0.4875947,0.49336755,0.49428594,0.48991892,0.48566782,0.48507464,0.48725012,0.48768902,0.48180947,0.46742567,0.44601384,0.42390394,0.40934798,0.4082153,0.42043516,0.4410468,0.46419987,0.4850197,0.5005514,0.50971466,0.51578885,0.5256195,0.54435414,0.5699354,0.5940352,0.60837287,0.6085708,0.5929536,0.563519,0.5277403,0.49778512,0.48191932,0.47908986,0.4812024,0.48100218,0.47617808,0.46887872,0.46287492,0.46143237,0.46576145,0.47438702,0.4848697,0.49481487,0.50370604,0.5109535,0.51565105,0.51497203,0.50736433,0.49470297,0.48344207,0.47966656,0.48378095,0.48983303,0.49098635,0.4859408,0.47879514,0.47454855,0.47423005,0.4749658,0.47246897,0.4637549,0.4486728,0.43022975,0.41374823,0.40349945,0.40049866,0.40153775,0.4046345,0.4108386,0.42509928,0.44804552,0.4745091,0.4948063,0.5040035,0.5054491,0.5082808,0.5187139,0.5322314,0.5364487,0.5207483,0.48848543,0.45344046,0.4320664,0.43197003,0.4547896,0.4926758,0.5323586,0.5541296,0.5484418,0.5192875,0.4851506,0.46299767,0.46343338,0.48631644,0.5212998,0.5501285,0.55546826,0.53566736,0.50436133,0.48184595,0.47742173,0.4890201,0.5052614,0.51612973,0.51471275,0.50245994,0.48604345,0.4752685,0.47711694,0.4948465,0.5259518,0.5593571,0.5772622,0.5646405,0.5242135,0.47619346,0.44500744,0.440395,0.455469,0.47565106,0.49082598,0.4979349,0.5004317,0.5045669,0.51674324,0.5381817,0.56369233,0.584542,0.5928411,0.5848391,0.5596547,0.5219112,0.47966245,0.44313744,0.4172628,0.40055898,0.38636133,0.36893997,0.34694707,0.3245348,0.30779326,0.30055526,0.30128962,0.30485156,0.30561244,0.30093178,0.29136506,0.27982998,0.26942244,0.26284087,0.26144424,0.26516905,0.27121028,0.27512327,0.2728056,0.2640141,0.25172037,0.23853862,0.22236466,0.19935898,0.1709516,0.14860444,0.14557406,0.16580068,0.19831043,0.22769953,0.24500741,0.2524368,0.255895,0.2586955,0.26020572,0.25953066,0.25799808,0.2574606,0.25840876,0.2590693,0.2583108,0.25724614,0.2592266,0.26724812,0.28146866,0.2993165,0.3163192,0.32918024,0.33614716,0.3379592,0.33609664,0.33261946,0.3290434,0.32605156,0.32340956,0.320671,0.318303,0.31708273,0.3173869,0.31858444,0.32044628,0.3231969,0.32648826,0.32779244,0.32423934,0.31563094,0.3055278,0.2978531,0.29342216,0.28997514,0.2852757,0.27915046,0.27270994,0.26686862,0.26171646,0.25712228,0.2529362,0.24909751,0.24523263,0.24040467,0.2335218,0.22393076,0.21238142,0.19989644,0.18759982,0.17618032,0.16685815,0.16018713,0.1546445,0.14684226,0.13350902,0.11490203,0.09521883,0.082358725,0.08355681,0.10120507,0.12929918,0.156927,0.17469865,0.18009311,0.17611724,0.16727303,0.15647449,0.14537157,0.13526164,0.12771885,0.12415869,0.12601286,0.13354243,0.1455941,0.1586237,0.16937523,0.17575532,0.17827463,0.17744297,0.17370404,0.1673891,0.1602573,0.1548413,0.15288042,0.15467645,0.15903188,0.16430493,0.16848542,0.17016168,0.16901119,0.16562264,0.1602117,0.15135331,0.13664757,0.11494413,0.089180164,0.06695583,0.057342585,0.06493039,0.08678609,0.115045,0.14361233,0.17030205,0.19442093,0.21288717,0.22205807,0.22105213,0.21354914,0.20462544,0.1987691,0.1976939,0.20145184,0.20710796,0.21141268,0.21149565,0.20773019,0.2018917,0.19624394,0.1915958,0.18783815,0.18445283,0.18136084,0.17918825,0.1790124,0.1812693,0.18512656,0.18863703,0.19080912,0.19159694,0.19188106,0.1911958,0.19036831,0.19094718,0.19606084,0.20457745,0.2123348,0.21305947,0.2048888,0.18974401,0.17242914,0.15664041,0.14445849,0.13590424,0.12942134,0.12203289,0.110330254,0.093180835,0.073737994,0.0595247,0.057282005,0.06892703,0.09008849,0.11467612,0.13769154,0.15553981,0.16449074,0.16115,0.14562026,0.12296579,0.10302075,0.095622696,0.10549616,0.12855278,0.15475132,0.17463072,0.18457894,0.18670005,0.18539308,0.18447013,0.18615182,0.19078302,0.19704033,0.20269944,0.20626801,0.20762312,0.20793726,0.2085657,0.21070163,0.21429002,0.21827574,0.22054672,0.22031973,0.2180746,0.21573544,0.21428406,0.21424937,0.2154124,0.21760572,0.21990776,0.22121036,0.22087114,0.21947211,0.2183662,0.21886122,0.2216403,0.22626358,0.23133372,0.23490979,0.23602068,0.23516095,0.23399483,0.2338916,0.23513198,0.23696686,0.23818342,0.23778562,0.23524587,0.23058875,0.2241636,0.21659516,0.2089084,0.20242266,0.19848697,0.19762105,0.19926815,0.20141204,0.20170845,0.19841503,0.19186532,0.18405622,0.17764975,0.17415673,0.17332065,0.17346041,0.1728472,0.17071718,0.16752388,0.1642632,0.1617422,0.16023731,0.15951999,0.15906817,0.15817386,0.15625899,0.15316395,0.14945142,0.1461155,0.14401485,0.14293593,0.1412503,0.13597238,0.1240975,0.10439216,0.078944005,0.05259345,0.03046123,0.01531377,0.0068286317,0.0028758217,0.0012592613,0.0006052683,0.00031263943,0.00017524733,0.00012785748]