[0.0021911068,0.005075961,0.014363975,0.033949133,0.06651231,0.11053562,0.15982889,0.20688193,0.24671225,0.2781477,0.30154696,0.31739557,0.32652745,0.3316622,0.3362271,0.34318864,0.35360894,0.3674141,0.38297716,0.39778185,0.40934458,0.41658485,0.41995952,0.41986713,0.41664788,0.41050526,0.40290204,0.39509937,0.3879944,0.3809072,0.37280944,0.36248955,0.3498833,0.33642566,0.3248103,0.31725702,0.31339642,0.3103927,0.30492857,0.29594126,0.28477445,0.27343693,0.2628184,0.25261092,0.24257378,0.23311776,0.22588694,0.2228101,0.22510608,0.23031695,0.23300909,0.22783428,0.21497472,0.19998139,0.18908745,0.18436944,0.18315704,0.18196158,0.17842628,0.17236525,0.16432713,0.15533684,0.14615749,0.13731611,0.1298106,0.12474174,0.1223839,0.12057332,0.116447866,0.10869262,0.09917724,0.09091594,0.087639414,0.09377587,0.11534051,0.15226074,0.19406752,0.21932167,0.21303664,0.17574966,0.12573041,0.08161535,0.053656604,0.04058717,0.036965013,0.036960512,0.036332674,0.03327465,0.028151894,0.022917494,0.01915548,0.018274238,0.021666372,0.030049019,0.041827034,0.052484035,0.057505533,0.055139586,0.04779902,0.03952555,0.03376079,0.031793565,0.03314625,0.03607823,0.03847233,0.03884844,0.037002083,0.03391024,0.030932466,0.029264873,0.029530644,0.03159097,0.034340546,0.03615388,0.03572563,0.032918822,0.028923646,0.025745204,0.025333734,0.028340796,0.033536743,0.038099542,0.039604913,0.03741731,0.034638528,0.037973788,0.057638302,0.09943766,0.15845655,0.21445346,0.24525385,0.23920782,0.20436466,0.15776409,0.115451515,0.08582092,0.07486104,0.08897456,0.13303664,0.20261426,0.2816302,0.34916937,0.39215252,0.41172186,0.41845593,0.4227948,0.42832494,0.43322492,0.43315217,0.42726052,0.4177076,0.40778825,0.395756,0.3793786,0.36353537,0.3624028,0.38705394,0.43201506,0.4788896,0.5107353,0.5238829,0.5224138,0.5096864,0.48357594,0.44085956,0.38176027,0.31151947,0.2392679,0.17406075,0.12262867,0.08767698,0.07035021,0.070963375,0.08849916,0.117495924,0.14841837,0.17113882,0.18072677,0.18041201,0.18001449,0.18971805,0.21070175,0.23244904,0.23756017,0.21673107,0.17435421,0.12626643,0.08622948,0.060817108,0.04902904,0.047906443,0.054001946,0.06370465,0.07299311,0.07864237,0.0792281,0.07530179,0.06892039,0.0635721,0.06308546,0.070005886,0.0829384,0.09707015,0.10646843,0.108198546,0.10347115,0.097050674,0.094632454,0.10048362,0.115320444,0.13658096,0.16042744,0.1851788,0.21034928,0.23645572,0.26226604,0.28803083,0.3120298,0.3314971,0.34114543,0.34135392,0.34052256,0.35097787,0.37726298,0.40977776,0.43265545,0.43768895,0.43073174,0.4246287,0.42534807,0.43105054,0.43605447,0.43950114,0.44102573,0.43850064,0.42746124,0.4082274,0.38849664,0.3790349,0.38434553,0.3995308,0.41347197,0.4169806,0.40550908,0.37993932,0.34352374,0.30092636,0.2577996,0.22207122,0.20395051,0.21098137,0.24237835,0.28675497,0.3286461,0.3573831,0.37096724,0.3740988,0.37245652,0.37104532,0.37232542,0.37611035,0.37862706,0.37475276,0.3610663,0.33791888,0.3084425,0.2770844,0.24734814,0.22164364,0.19997561,0.181507,0.16505808,0.15065669,0.13859105,0.1288548,0.12067976,0.11320383,0.10608927,0.099854805,0.09541725,0.09333532,0.09298862,0.0929451,0.092239745,0.09325659,0.10286299,0.13062884,0.17898662,0.23679592,0.27938855,0.28618458,0.25317332,0.19698744,0.13929828,0.09508919,0.06724666,0.052434895,0.04596709,0.043939173,0.04318368,0.04134525,0.037666366,0.0330879,0.02977406,0.030478904,0.03693126,0.048727144,0.062265474,0.07303152,0.077710666,0.07671704,0.07376886,0.075349085,0.088219084,0.11535516,0.15251404,0.18864314,0.21301997,0.22121353,0.2170226,0.20716894,0.1970892,0.18903528,0.18345672,0.1799519,0.1773885,0.17428459,0.16919036,0.16160111,0.1520012,0.14183064,0.1328574,0.12631093,0.12224392,0.1193091,0.11581019,0.11130602,0.111122675,0.12883948,0.184442,0.2875205,0.42444953,0.5559641,0.64297295,0.6661832,0.6328191,0.56114095,0.47123373,0.38549447,0.3276126,0.31415677,0.34076867,0.38564566,0.42348018,0.44137192,0.43938217,0.4230982,0.39677253,0.36324513,0.32425317,0.28310564,0.24629414,0.22810327,0.24203919,0.29112515,0.35662293,0.4106274,0.4309862,0.41707253,0.38164023,0.34116623,0.30467156,0.2758408,0.25323653,0.23257722,0.20782118,0.17619865,0.14096844,0.109085254,0.08589428,0.071712844,0.06368299,0.05888526,0.056585494,0.05693014,0.061259676,0.07289756,0.10072905,0.15399933,0.23596978,0.33664253,0.44149423,0.5403139,0.6311846,0.7101694,0.7656186,0.78373235,0.7618637,0.71307176,0.6587054,0.61444235,0.58359903,0.55830765,0.5287909,0.48966992,0.44184557,0.38828778,0.33199048,0.27717265,0.23177694,0.20451903,0.19768645,0.20519225,0.21871693,0.2401938,0.27879432,0.3397216,0.408005,0.45763335,0.4687951,0.44387254,0.39973304,0.35241723,0.30877414,0.26918778,0.23476118,0.20721672,0.18762235,0.1743987,0.16517882,0.15781315,0.15089077,0.14338815,0.13458146,0.12436178,0.113513045,0.10410792,0.098561294,0.098894306,0.10621554,0.12288568,0.152744,0.19924343,0.2606313,0.32973132,0.39554295,0.4471524,0.47339752,0.46728596,0.43112412,0.38260934,0.3480259,0.3472021,0.37939343,0.424011,0.45580053,0.45918968,0.4341534,0.39090094,0.34508848,0.311307,0.29855046,0.30616352,0.3268249,0.35272384,0.37913457,0.40351722,0.42237175,0.43231773,0.43211195,0.4250603,0.41714367,0.4127747,0.410746,0.4055859,0.39540672,0.38793734,0.39482656,0.41878045,0.4454721,0.454778,0.43451858,0.38803232,0.32631007,0.26376265,0.21772905,0.20657462,0.23921078,0.30519655,0.37911847,0.43657604,0.46700224,0.47385716,0.4640012,0.44091415,0.40475062,0.36036226,0.32059833,0.29944733,0.29896608,0.3034284,0.29183134,0.25461176,0.20073521,0.14685221,0.104703926,0.076493934,0.059115514,0.04879558,0.042624474,0.038236078,0.034032095,0.029300923,0.024578022,0.020891322,0.019523462,0.021212833,0.025712734,0.031410366,0.03586112,0.037200674,0.035128783,0.03190487,0.032065094,0.04227221,0.06699495,0.104888916,0.14587368,0.17754626,0.19169629,0.18953937,0.17756939,0.1630109,0.15031773,0.14148465,0.13652696,0.13354023,0.12989648,0.12354533,0.114495315,0.104459934,0.09618478,0.09231019,0.09386408,0.1002811,0.11120707,0.13091017,0.16702504,0.224315,0.2976929,0.3765161,0.4540843,0.52750015,0.5860911,0.6062556,0.5713453,0.49590746,0.42385724,0.39329326,0.40326583,0.41764152,0.39907455,0.3424407,0.27667737,0.24450128,0.2708927,0.3484174,0.43680128,0.49032995,0.48169693,0.4202325,0.33972156,0.28199318,0.27492782,0.32100284,0.39569095,0.46174368,0.49595594,0.50000834,0.49372253,0.4902148,0.48995385,0.4856471,0.47599158,0.4649242,0.45654008,0.44976142,0.43858492,0.41685152,0.38411453,0.35189292,0.33854792,0.3565391,0.39927292,0.44536793,0.47445646,0.48082396,0.47259903,0.46117818,0.45360354,0.45085582,0.4513879,0.45334268,0.4561192,0.45939597,0.46191874,0.4610194,0.45547143,0.44767877,0.44313553,0.44575763,0.45647612,0.47366822,0.49561167,0.51926845,0.5401383,0.55142933,0.5444738,0.510263,0.4453319,0.3592062,0.2747989,0.21931356,0.20954777,0.24395007,0.30389717,0.36469552,0.40622446,0.42019987,0.40877685,0.38111126,0.3471628,0.3153064,0.28869876,0.267362,0.2489227,0.23239906,0.21791513,0.20876108,0.21201497,0.2373013,0.2896229,0.3622662,0.4355727,0.4855841,0.49303126,0.4542438,0.38331434,0.31227145,0.27077663,0.2692748,0.28739217,0.2954079,0.27535108,0.235676,0.1985081,0.18589365,0.20652325,0.25328362,0.30569777,0.3411529,0.34831282,0.3313372,0.30356932,0.27535444,0.2505785,0.22788723,0.20588972,0.1840784,0.16346925,0.14524676,0.13015361,0.117631435,0.106306545,0.09510043,0.0841481,0.07459372,0.06728115,0.061852064,0.05699486,0.05195011,0.04862027,0.05210705,0.0691622,0.10202476,0.14536297,0.18720138,0.21997549,0.2456785,0.27577057,0.31883776,0.37436172,0.43067566,0.47236612,0.4886975,0.48117027,0.46403742,0.45312795,0.45301005,0.45349947,0.44299272,0.4222788,0.40702987,0.4136331,0.44574165,0.48940083,0.52392817,0.53545064,0.5242629,0.5015884,0.47796988,0.45965552,0.44605443,0.43776858,0.43360975,0.4319329,0.4257792,0.40930617,0.38058794,0.34430483,0.30695665,0.27431533,0.2506208,0.23778732,0.2327537,0.22631389,0.21026765,0.18467365,0.1589468,0.1415242,0.13285223,0.12639914,0.1172067,0.10524454,0.094278276,0.088217415,0.09135342,0.10598727,0.1306556,0.15711927,0.17585893,0.18101543,0.17463799,0.16231221,0.14926176,0.13756187,0.1275798,0.12009252,0.1172139,0.122000575,0.13545601,0.15798728,0.19222356,0.2468069,0.32741836,0.42662525,0.5197465,0.58118254,0.5993542,0.5813198,0.53953433,0.48596045,0.43365988,0.40163776,0.40521368,0.44170836,0.48909208,0.52051836,0.5239601,0.5027396,0.46670127,0.4202374,0.36762035,0.31988412,0.29897156,0.32174718,0.38605204,0.46418548,0.52344364,0.5443393,0.53203934,0.50437254,0.4810969,0.47314373,0.4807367,0.4921573,0.4916956,0.4694365,0.42835307,0.3812624,0.342988,0.32672706,0.3374242,0.37040302,0.40662348,0.42743358,0.4250662,0.41076925,0.398162,0.39094022,0.379782,0.35718492,0.3250616,0.2925084,0.26582044,0.24650802,0.23465915,0.23207104,0.24001901,0.2554119,0.271602,0.28167436,0.28200328,0.2736185,0.26370525,0.26652956,0.2952563,0.35127413,0.41573057,0.46199712,0.4718673,0.44777167,0.40413442,0.3555055,0.30843455,0.26417112,0.2228778,0.18626536,0.15648013,0.13479997,0.12088788,0.11700469,0.13151477,0.17897499,0.26704273,0.38561633,0.50483555,0.59533197,0.6451301,0.6650808,0.67340016,0.6818165,0.6893919,0.6856883,0.6572905,0.59527105,0.50360376,0.39962062,0.30583364,0.2368344,0.19404782,0.16979046,0.15553187,0.14604335,0.1391112,0.13360189,0.12867956,0.123760484,0.11872443,0.114272535,0.111964606,0.11379874,0.12136996,0.13553955,0.15630455,0.18166524,0.21037753,0.24568315,0.3002729,0.38455904,0.4944099,0.601618,0.67300695,0.688523,0.6544902,0.59195477,0.52527326,0.4708487,0.43628046,0.42049828,0.41843116,0.4238439,0.43201223,0.4391867,0.4440606,0.44912228,0.45988694,0.4797043,0.50402206,0.5218933,0.522097,0.49957693,0.4550852,0.3964405,0.3396102,0.30794486,0.3181089,0.36633882,0.42683196,0.47039822,0.48365948,0.47380042,0.4566213,0.44298247,0.43338096,0.42223135,0.40348497,0.37580216,0.34188214,0.3073828,0.27661958,0.25185898,0.23255359,0.21744414,0.20486005,0.19445121,0.18685798,0.18473123,0.18812138,0.19700001,0.21247494,0.24734719,0.31516266,0.42018595,0.54077303,0.6466055,0.7150574,0.74687004,0.7539533,0.7483557,0.73601294,0.72033334,0.7044845,0.6900968,0.67517656,0.65393084,0.6180649,0.5646891,0.50194424,0.45270252,0.4407389,0.47512755,0.5389926,0.600671,0.63423103,0.63326913,0.608424,0.5731238,0.5373647,0.50553125,0.4812776,0.46508154,0.45651522,0.45361432,0.45595682,0.4613569,0.46437636,0.45582828,0.4276183,0.37794444,0.3137116,0.24783741,0.19275393,0.15471022,0.13230391,0.119734816,0.11126528,0.103592604,0.097034544,0.095929265,0.10963342,0.14687659,0.21119988,0.2952847,0.3888512,0.47964856,0.55867577,0.6139908,0.639812,0.6374412,0.618525,0.5925988,0.5633361,0.5296372,0.49302277,0.46009228,0.4379852,0.43158087,0.44121018,0.4635115,0.49137902,0.5143798,0.52314043,0.509275,0.4711237,0.4143078,0.35929957,0.32990992,0.34202147,0.38788617,0.44843054,0.50510037,0.5511181,0.5817966,0.5924144,0.5796883,0.54935473,0.51230794,0.47887194,0.45298246,0.43577063,0.42647013,0.42524508,0.42963275,0.43599877,0.43951914,0.43798196,0.4328961,0.42902473,0.43186656,0.4431274,0.45900238,0.47005534,0.46609378,0.43960157,0.39303526,0.34124777,0.31235203,0.32756254,0.38553134,0.4520184,0.48827383,0.47527364,0.42896247,0.37859404,0.34517753,0.33054873,0.3249607,0.3197489,0.3112572,0.30097902,0.28985754,0.2783604,0.2659575,0.25388613,0.24407625,0.23790814,0.23510827,0.23348765,0.23098956,0.22473824,0.21355377,0.1984274,0.18614982,0.18613999,0.20427948,0.23574702,0.26636446,0.28256413,0.27985296,0.26373821,0.24219601,0.22090153,0.20212631,0.1870154,0.17575549,0.16741925,0.16018333,0.15231945,0.14313018,0.13429022,0.13159533,0.14456703,0.18005133,0.2346618,0.29323223,0.340047,0.36861777,0.38490364,0.3963153,0.40924928,0.42328265,0.43768415,0.44420397,0.43730423,0.41197693,0.3744173,0.33268118,0.2974091,0.2729175,0.25993124,0.2554501,0.2573481,0.26392764,0.2712889,0.27349958,0.26631984,0.25262073,0.24090487,0.23840816,0.2452058,0.25321493,0.25467327,0.24823116,0.24188946,0.24480157,0.2606903,0.2840676,0.30511472,0.31483322,0.31118342,0.29878393,0.2862918,0.2783865,0.2745279,0.27036443,0.2644342,0.25721586,0.25073156,0.24421066,0.23740537,0.22925334,0.22084068,0.21213965,0.20394914,0.19654591,0.19116396,0.18870164,0.18869632,0.18935615,0.18880121,0.18951933,0.19872497,0.22713578,0.2774092,0.3400749,0.39196864,0.4144492,0.40161547,0.36585316,0.32279482,0.2843105,0.2530031,0.2280081,0.20717345,0.1892199,0.17277382,0.15683381,0.14085726,0.12545063,0.11196217,0.10212877,0.09706523,0.09661973,0.09883682,0.10080612,0.10018179,0.09762516,0.097848214,0.10915508,0.13771899,0.18174164,0.22845419,0.26229084,0.27487794,0.2704733,0.25951198,0.25005493,0.24394645,0.23943007,0.23530185,0.23306394,0.23695578,0.2524325,0.2809374,0.3183662,0.3547019,0.38326216,0.40160665,0.41333282,0.42047068,0.42583874,0.43151867,0.44006076,0.45076248,0.46245396,0.47741592,0.49917865,0.5252103,0.5423786,0.53824687,0.5108655,0.47096577,0.42991197,0.39364028,0.36302707,0.3381742,0.31853575,0.30110002,0.28195706,0.25887194,0.23443092,0.21501343,0.20985965,0.2264436,0.2658598,0.3182913,0.36517897,0.3886429,0.380587,0.34739855,0.30543908,0.27647522,0.2794344,0.3231434,0.39820144,0.4811871,0.54694915,0.5840958,0.5966897,0.5950534,0.5845968,0.5601088,0.5143189,0.44366953,0.35933614,0.27760705,0.21508807,0.1748017,0.15217666,0.13803743,0.12745433,0.1181485,0.10986606,0.10211295,0.09452825,0.087670974,0.0848915,0.09351068,0.12291392,0.1765701,0.24573195,0.30968904,0.34912226,0.35648787,0.34056947,0.31774113,0.3069402,0.32230294,0.36960295,0.43732658,0.50119853,0.5361202,0.53551203,0.51124185,0.4816729,0.45464358,0.4286419,0.40324458,0.38628808,0.38726977,0.40585265,0.43204603,0.453611,0.46678364,0.4727044,0.47470132,0.47076383,0.45896912,0.4377185,0.41066548,0.38151288,0.35416016,0.332548,0.32424936,0.33599278,0.3654122,0.39708433,0.41197696,0.40130797,0.3720068,0.33879673,0.31260362,0.29629937,0.28726336,0.28226945,0.27889302,0.27564752,0.27194765,0.26890805,0.27037838,0.28216016,0.3083671,0.34571874,0.38159502,0.39985013,0.39180946,0.36224368,0.32532564,0.29469135,0.27676967,0.27171922,0.2761843,0.28632715,0.2970974,0.30432793,0.30489978,0.29854771,0.28624514,0.27045637,0.25420454,0.24106652,0.23303027,0.22931387,0.22686617,0.22484486,0.22919297,0.2534974,0.31027564,0.3996521,0.5032087,0.5939533,0.6517437,0.6733751,0.6677194,0.6457987,0.615665,0.5843797,0.5595387,0.54677624,0.5447809,0.5473903,0.5476497,0.5442858,0.5391545,0.5349921,0.5311346,0.52569914,0.5170669,0.5060658,0.49456608,0.48407865,0.47527182,0.46948853,0.47019827,0.48069537,0.50022906,0.52157855,0.53529125,0.53609186,0.5256894,0.5094098,0.4912639,0.47397542,0.46086538,0.45503104,0.4544184,0.44921207,0.42867288,0.39198482,0.3554361,0.34485722,0.3758858,0.43786857,0.49371734,0.5062353,0.462855,0.3874056,0.32098293,0.2970605,0.32298604,0.3815345,0.44530272,0.49182796,0.5110665,0.50327027,0.47400436,0.43279693,0.39058194,0.35692492,0.33294854,0.31305414,0.28926447,0.259033,0.22428013,0.1891032,0.15635626,0.12844592,0.10709867,0.093143724,0.08563932,0.08258388,0.08162575,0.08095282,0.0795137,0.07872167,0.08424866,0.10739786,0.1585148,0.23748958,0.3262374,0.3977356,0.43169627,0.42675936,0.39616075,0.35674062,0.3203635,0.2925785,0.27367976,0.26058298,0.24877161,0.23550975,0.22190098,0.21440496,0.22423232,0.2613133,0.32580456,0.4022368,0.46822062,0.5064684,0.5137437,0.49389425,0.45562252,0.41115868,0.38269797,0.38891637,0.43402824,0.4976232,0.5518617,0.57519716,0.5626788,0.5203833,0.46239027,0.4092184,0.38078508,0.38668266,0.41746533,0.4535364,0.47756836,0.48540863,0.48216566,0.47505045,0.4669967,0.45713568,0.4432524,0.4243393,0.40148222,0.3777299,0.3576776,0.34702262,0.35191092,0.3760159,0.41541937,0.45747754,0.48585975,0.49270406,0.481106,0.4629618,0.44775954,0.44393647,0.4554677,0.4843266,0.5228968,0.55990034,0.5845585,0.59463733,0.59252995,0.5811734,0.56423163,0.5479414,0.5418177,0.5475871,0.55738926,0.5575967,0.5450697,0.5288004,0.52329683,0.5353334,0.56143934,0.59106594,0.61286753,0.6193211,0.60883385,0.5842662,0.54932934,0.5068945,0.46065316,0.4154463,0.3762404,0.344944,0.32131943,0.30375004,0.29088274,0.2810746,0.27259412,0.26493874,0.2585195,0.25426522,0.25085232,0.24628781,0.23906587,0.23221236,0.23247321,0.2496583,0.28847465,0.34410563,0.3987317,0.43357167,0.43857026,0.41947195,0.3884578,0.35610056,0.32652745,0.30072868,0.27900103,0.26111114,0.24572062,0.23060143,0.21440409,0.19735835,0.18161745,0.16986524,0.16412495,0.16555999,0.17675215,0.20407133,0.25417885,0.32697928,0.411201,0.49160394,0.55907875,0.6131268,0.654712,0.6805303,0.687278,0.67666817,0.6549063,0.6262924,0.59258336,0.5568574,0.52519476,0.50327533,0.4925964,0.493644,0.50688833,0.5313893,0.5593091,0.5795456,0.5845702,0.5732899,0.54870313,0.5135888,0.47596645,0.4460026,0.43354344,0.43821716,0.45687696,0.4859906,0.52397686,0.5618759,0.5868551,0.5905351,0.5769741,0.55712414,0.5392356,0.5251946,0.5135171,0.5030862,0.49280277,0.48047987,0.46375456,0.44183543,0.41729686,0.39439857,0.37828568,0.37062195,0.36932465,0.36759308,0.36139703,0.35226652,0.34906414,0.35912582,0.38389215,0.41682804,0.4485128,0.4712501,0.48211253,0.48511627,0.4853861,0.48413375,0.4728212,0.4429551,0.39403272,0.338418,0.29043576,0.25804588,0.23944801,0.22906719,0.22180861,0.21515054,0.20786184,0.19995809,0.19194472,0.18505184,0.17973153,0.17571105,0.17150235,0.167374,0.16710436,0.1798194,0.21246137,0.26324257,0.31768307,0.3614334,0.38991228,0.40929356,0.42346808,0.42986354,0.42900085,0.43237054,0.45533833,0.4978927,0.54073995,0.55828774,0.53819865,0.48826826,0.4305428,0.3910688,0.38639006,0.41489995,0.45451415,0.47703934,0.46467623,0.42155656,0.36996174,0.34053418,0.35691974,0.42172083,0.5117924,0.59131676,0.635257,0.6402967,0.61798006,0.5808901,0.5403163,0.5101164,0.50372475,0.5240839,0.55835795,0.5869322,0.59641796,0.5828832,0.54956335,0.50342524,0.4618226,0.4449185,0.46533465,0.51143837,0.55949277,0.58869845,0.59811157,0.5975707,0.5991442,0.6070363,0.6196253,0.6306215,0.6339202,0.6258405,0.6051272,0.57243866,0.5318244,0.49633205,0.48210812,0.4979961,0.5323866,0.56261396,0.5688966,0.5484326,0.5100015,0.46698007,0.43065557,0.4093958,0.40518975,0.41073343,0.4105995,0.38983783,0.34486237,0.29068974,0.2564686,0.27112752,0.34216166,0.44718972,0.5416402,0.5872793,0.57248855,0.51702935,0.45210806,0.40114966,0.37074935,0.35645136,0.35194883,0.35273412,0.35588205,0.35658172,0.34870946,0.32744348,0.29482734,0.26027715,0.23501737,0.22370152,0.22201286,0.2218133,0.21799369,0.2130983,0.21739812,0.24688892,0.31119654,0.403852,0.49756494,0.5645192,0.59154624,0.5885219,0.5694988,0.5453197,0.52066916,0.50452745,0.5033476,0.5142156,0.52038497,0.50545543,0.46543488,0.41265687,0.3658342,0.33935437,0.33630797,0.34789315,0.36086485,0.36856928,0.37847528,0.40377918,0.45011163,0.5071708,0.5594728,0.5949164,0.61108965,0.60671973,0.5832022,0.54259145,0.49203515,0.4398012,0.39507195,0.36739156,0.36266303,0.3798101,0.40642402,0.42748606,0.43042278,0.41136527,0.3711989,0.31655607,0.25772986,0.20694488,0.1720794,0.15409859,0.14975734,0.15524186,0.17125976,0.20272623,0.25926018,0.34393206,0.44751588,0.54665333,0.620589,0.661323,0.6765356,0.67775697,0.673829,0.6677415,0.6596846,0.64838105,0.6322438,0.6088846,0.5744193,0.52498907,0.4606936,0.38994694,0.32996908,0.2984418,0.30285308,0.33238676,0.36678877,0.38879025,0.39485502,0.3900944,0.38322935,0.38385275,0.40065455,0.43597105,0.47832778,0.51111823,0.5227991,0.5168121,0.50131863,0.48102525,0.4523356,0.4108282,0.35772315,0.30107474,0.25191978,0.21725075,0.19774465,0.18830426,0.18350156,0.18037967,0.17849237,0.17818029,0.17987938,0.18589813,0.1982797,0.21896672,0.24882996,0.29388618,0.3583138,0.43861237,0.5132365,0.5591142,0.5647103,0.5408525,0.5056173,0.4728229,0.44783416,0.4294603,0.41330934,0.39161432,0.36701658,0.35681942,0.3849974,0.4553523,0.54045254,0.6006983,0.6152736,0.59607214,0.5684591,0.5501376,0.54388076,0.5478223,0.560857,0.5801057,0.5999989,0.61545056,0.62702066,0.6365462,0.64470667,0.64899063,0.6490012,0.6455901,0.6408355,0.63406223,0.6240658,0.60896677,0.5893503,0.56693345,0.5449088,0.52451944,0.50494474,0.48351935,0.45893967,0.43166068,0.40327105,0.37495267,0.347923,0.32364726,0.3059859,0.30120322,0.31870702,0.36093283,0.41891292,0.46942163,0.49387574,0.48730278,0.46329024,0.43737745,0.41963843,0.41031322,0.4063286,0.40395167,0.40165412,0.39993867,0.40065828,0.40407887,0.40866137,0.4117411,0.41226724,0.41003335,0.4057006,0.40009817,0.39462456,0.39076528,0.38827637,0.38673255,0.3860874,0.3907629,0.40415046,0.4256206,0.44450763,0.44868627,0.43117318,0.39567122,0.35110068,0.30559194,0.26484096,0.23185642,0.208788,0.19480608,0.18748121,0.18310702,0.1798002,0.17887092,0.18617444,0.20829614,0.24713683,0.29478583,0.33947554,0.3740563,0.40222442,0.43120062,0.46479288,0.5019972,0.5398224,0.5742076,0.5953953,0.59607416,0.57528836,0.5445307,0.51209515,0.48098603,0.44523036,0.4044145,0.3607305,0.3207411,0.28540382,0.2552702,0.22957839,0.21187826,0.20544535,0.21231721,0.22926204,0.24965055,0.26615372,0.27694836,0.28664124,0.30313435,0.33004498,0.3656689,0.40338185,0.43456617,0.44861078,0.43922403,0.40970957,0.37354326,0.34397647,0.3261845,0.31551692,0.3060989,0.29336682,0.27826187,0.2612905,0.24582487,0.2320438,0.2213376,0.21202874,0.20418859,0.19709282,0.19083197,0.18466415,0.17778333,0.17004018,0.16228755,0.15886213,0.16809243,0.20067768,0.25817895,0.32703185,0.38038588,0.3989626,0.38180134,0.34643078,0.31033322,0.28204194,0.25994346,0.24014144,0.2200759,0.19931167,0.17849003,0.15858276,0.14043014,0.12490461,0.11334032,0.10766747,0.10875801,0.11505151,0.122148454,0.12559207,0.12320288,0.11729744,0.114354916,0.12432519,0.15551923,0.20773232,0.26784256,0.31587306,0.3378315,0.33388123,0.31512344,0.29306093,0.27359155,0.2572784,0.24328743,0.23096673,0.21997124,0.20970285,0.19960038,0.1896017,0.18062198,0.17442495,0.17261891,0.17543592,0.1809538,0.18609516,0.18815847,0.18789782,0.19158636,0.21240377,0.2634774,0.3480936,0.45084548,0.5450128,0.6063538,0.6248415,0.60196084,0.5457026,0.46924952,0.39310238,0.33759663,0.31162286,0.30618727,0.3066462,0.3049991,0.3055208,0.31280443,0.32513043,0.3338804,0.333174,0.3230183,0.30754662,0.2897861,0.2696769,0.24847353,0.23361509,0.2425464,0.29086065,0.37905097,0.4808379,0.55901307,0.58521724,0.55820656,0.49533853,0.41979155,0.3471482,0.2852891,0.23615837,0.19939573,0.17330374,0.1558915,0.14497623,0.13868536,0.1356526,0.13547154,0.13801086,0.1436118,0.15229028,0.16501307,0.181417,0.20285006,0.23248433,0.28091967,0.35658398,0.45878115,0.5683257,0.66094214,0.71988726,0.74610156,0.74961215,0.74012595,0.7215721,0.6952386,0.663789,0.6307831,0.5984102,0.5639506,0.52264124,0.47159395,0.41653886,0.37213898,0.3547044,0.37032643,0.40718555,0.44334915,0.46080828,0.45599055,0.43703154,0.4153163,0.40152982,0.40230265,0.41871884,0.4416697,0.45808303,0.4578205,0.44048473,0.41047224,0.37343386,0.3337864,0.2971706,0.2686372,0.25081924,0.24209581,0.2391451,0.2406345,0.25048468,0.277817,0.32905862,0.39996138,0.4709642,0.5201687,0.53548527,0.52180487,0.48970625,0.44987968,0.41391587,0.39981946,0.42099547,0.47196612,0.52440405,0.54936254,0.5372301,0.50381964,0.4733561,0.4633899,0.47812977,0.5106159,0.5486267,0.57914233,0.59546703,0.5978833,0.5919735,0.5825434,0.57194597,0.56062454,0.5494252,0.5399682,0.5332615,0.528024,0.5209611,0.51174575,0.50706226,0.5203226,0.5596976,0.6194115,0.67851496,0.71676224,0.7258596,0.71321815,0.691441,0.6711592,0.65696025,0.6501402,0.6500214,0.65576893,0.6655315,0.6768768,0.6868692,0.69399685,0.6980229,0.69951653,0.69856596,0.69564134,0.6923022,0.6909294,0.6929942,0.69789237,0.70419127,0.7109626,0.7180083,0.722863,0.72062445,0.70537,0.67526037,0.63164717,0.5794649,0.52518684,0.47978404,0.45404065,0.45234343,0.46713254,0.48404607,0.49158812,0.4858233,0.4692044,0.44733262,0.42942944,0.42650697,0.44568267,0.48464957,0.53153867,0.5713069,0.59029967,0.58240587,0.55268866,0.52114505,0.51086885,0.5327491,0.57333773,0.60770994,0.6165128,0.59829736,0.5612357,0.5146821,0.4637718,0.41243315,0.3637693,0.32006514,0.28184107,0.2493624,0.22270538,0.20247668,0.18886678,0.1825674,0.18300413,0.18802291,0.19280408,0.19304161,0.18677789,0.17676951,0.17051141,0.17972094,0.21573861,0.2785488,0.35274422,0.41180238,0.43895814,0.43399525,0.4148942,0.40141436,0.41027138,0.44431368,0.4939107,0.5384063,0.56205744,0.562383,0.550505,0.5390949,0.5340829,0.5334597,0.53105336,0.5222253,0.50624603,0.48695734,0.46779427,0.44905904,0.43047377,0.41826633,0.42623582,0.46424127,0.5261142,0.5896484,0.6330132,0.64879256,0.64485097,0.6337647,0.62413996,0.619173,0.61826724,0.6187946,0.61730456,0.61085343,0.5968491,0.5717692,0.533247,0.4858936,0.44407013,0.42455363,0.43302014,0.45895195,0.48376536,0.4941808,0.48815385,0.47375706,0.464957,0.47564158,0.51017857,0.55808926,0.6002105,0.6225807,0.62391526,0.61070853,0.58957785,0.5668358,0.5523793,0.557611,0.5859957,0.6267871,0.6605739,0.6713152,0.65597993,0.62278587,0.5860458,0.5574221,0.54347587,0.5430246,0.5506583,0.5590747,0.56287104,0.5596735,0.55040115,0.5392075,0.52976733,0.52292603,0.51366156,0.496855,0.4701549,0.43704915,0.4014984,0.36646083,0.33311325,0.30316284,0.27879563,0.26139858,0.2509419,0.24559201,0.24297881,0.2416008,0.24257617,0.24919276,0.26387212,0.28619897,0.31398213,0.34787595,0.3921071,0.45101628,0.5222067,0.5958846,0.65850633,0.70065194,0.71913534,0.718164,0.7052683,0.69012666,0.67836547,0.6709829,0.66312957,0.6505759,0.62976664,0.59935415,0.5592106,0.51404554,0.47291908,0.44294986,0.42485145,0.41315868,0.4043088,0.39768803,0.39487886,0.39545807,0.397823,0.39889786,0.39549673,0.3879819,0.38356662,0.39287043,0.41928366,0.45332596,0.47927043,0.4861461,0.47279498,0.44351575,0.40634036,0.37141576,0.3493431,0.3428327,0.34515032,0.3445966,0.33454525,0.315539,0.29251564,0.26970074,0.24931353,0.23156904,0.21554,0.2002698,0.1860804,0.17428732,0.16694225,0.16729312,0.18129711,0.21297932,0.25732538,0.29678544,0.31187615,0.29562894,0.2587285,0.2193743,0.18969893,0.17202292,0.16315752,0.15964614,0.15821476,0.15588689,0.15129296,0.14551497,0.14098543,0.13921635,0.14071696,0.14475004,0.14972204,0.15271689,0.15156369,0.14592934,0.13783126,0.13244179,0.13872881,0.17034648,0.23353593,0.3203504,0.40257823,0.45410547,0.46243373,0.43947557,0.4029169,0.36788476,0.3386617,0.3156787,0.29737708,0.28253797,0.26933873,0.2560904,0.24251407,0.23160116,0.2305842,0.2465616,0.28075346,0.32385787,0.36361492,0.39445686,0.42406198,0.4651263,0.52345854,0.59113103,0.65060645,0.6847207,0.6843017,0.65188926,0.5994812,0.5430224,0.49486342,0.46018538,0.43806577,0.42499247,0.4160138,0.40612745,0.39344993,0.38295388,0.3831493,0.3980415,0.4214156,0.44188604,0.45063236,0.44628534,0.43074343,0.4072802,0.37846294,0.34879765,0.3238937,0.31104505,0.3172833,0.34301528,0.37872782,0.40528098,0.40956703,0.3910255,0.3623599,0.33389068,0.30819854,0.28193867,0.25472727,0.23125981,0.21630748,0.21039397,0.20897114,0.20725922,0.20303254,0.19732368,0.19195347,0.18788095,0.1846705,0.18125312,0.17681746,0.17130141,0.16696788,0.16977113,0.19063433,0.2376144,0.307626,0.38030887,0.43115854,0.4457929,0.42920828,0.39608064,0.35982928,0.325919,0.2942699,0.26319224,0.23283434,0.20559429,0.18401022,0.168104,0.15577258,0.14551751,0.13799892,0.1346507,0.13547073,0.1382962,0.14041604,0.14050274,0.13987164,0.14230351,0.15330075,0.17973538,0.22461103,0.28246346,0.3358471,0.36675444,0.36713025,0.34617472,0.32078445,0.3062738,0.30940568,0.32962158,0.36170217,0.39908993,0.43714476,0.47285303,0.503248,0.52234507,0.52541953,0.5118124,0.48807058,0.4604691,0.43235862,0.4018271,0.36788118,0.3324083,0.3030426,0.29234806,0.3136429,0.36974928,0.44425252,0.5059724,0.5288856,0.50784117,0.4587461,0.4023873,0.35224548,0.31166485,0.2795056,0.25385684,0.23272417,0.21373081,0.19535391,0.17980157,0.1747704,0.19129057,0.23590262,0.3034594,0.37745574,0.44142565,0.4893227,0.52606153,0.5580583,0.5865701,0.60863966,0.6211432,0.6216922,0.6100076,0.58956486,0.5690344,0.5550148,0.5473907,0.53875095,0.52321506,0.49997497,0.4726319,0.44457445,0.41779804,0.39387462,0.37393263,0.35919666,0.3500811,0.3480929,0.3535957,0.36559343,0.3783454,0.38440812,0.37672505,0.35693422,0.33700547,0.33696416,0.3693502,0.4301803,0.49747348,0.5476451,0.5651757,0.550723,0.5146356,0.4751614,0.4475973,0.44062018,0.4514381,0.47178793,0.49246535,0.5074506,0.51439255,0.51399726,0.5100753,0.5061371,0.5034316,0.49918842,0.49104297,0.4817002,0.4788938,0.4905262,0.51682657,0.5520346,0.5876389,0.6185815,0.6414998,0.6541838,0.65504575,0.6444761,0.62365013,0.59303755,0.5532772,0.5080798,0.46323112,0.42336524,0.39014447,0.36758026,0.36489117,0.39075994,0.4428948,0.50471896,0.5561636,0.58307976,0.5805475,0.54699314,0.48462018,0.40216792,0.31823167,0.2556868,0.23434164,0.25860903,0.3146306,0.37234572,0.40542904,0.40424934,0.38058484,0.35296854,0.33436707,0.32748732,0.3293555,0.3359371,0.34357145,0.34858826,0.3485858,0.34300688,0.33439597,0.32649335,0.323061,0.32512534,0.329607,0.33073017,0.3235263,0.30909806,0.29402915,0.28907955,0.30417094,0.34629318,0.41230634,0.4867371,0.54474694,0.5691758,0.559385,0.53076416,0.49701667,0.46431795,0.43139622,0.39947215,0.37146738,0.34950343,0.3320292,0.31563798,0.29785672,0.27739057,0.2544837,0.23035266,0.20718004,0.18759002,0.1733297,0.16464381,0.15932713,0.15629458,0.15920581,0.17942338,0.2268006,0.29937413,0.37560084,0.4283065,0.44057742,0.41839394,0.38004243,0.3431107,0.3139448,0.29153827,0.27292177,0.25734213,0.24453215,0.23374815,0.22292073,0.21149105,0.20054364,0.1935153,0.19224249,0.19606185,0.20069586,0.20222747,0.19883649,0.19183366,0.1849889,0.18468368,0.20114404,0.24108641,0.30149588,0.36267313,0.4021026,0.4058043,0.37981892,0.33937752,0.30008927,0.26881218,0.24648827,0.23106967,0.22148986,0.21878277,0.22421576,0.2375319,0.25711876,0.28448322,0.3241657,0.3783169,0.43896386,0.48937014,0.5126611,0.5022226,0.46591756,0.42472422,0.4057277,0.42621204,0.48253217,0.54653585,0.58934,0.59684426,0.58094376,0.5593984,0.5460095,0.54193455,0.54504144,0.55275196,0.5639271,0.5764989,0.58600837,0.5859425,0.5699225,0.5372953,0.4960158,0.45900849,0.43455735,0.4205865,0.40788713,0.38889125,0.3633944,0.33902287,0.32777035,0.33940247,0.3733085,0.4145514,0.44168052,0.4403831,0.41199365,0.3677716,0.31888583,0.27069303,0.22612427,0.18843521,0.16139549,0.14568734,0.13849513,0.13487218,0.13112678,0.12728025,0.12782106,0.14030503,0.16935575,0.21264295,0.25993004,0.30106607,0.33116445,0.35377154,0.37712362,0.41283584,0.4676014,0.5356887,0.5933803,0.6151473,0.59222203,0.5425373,0.4931188,0.46071672,0.444705,0.4375364,0.4352382,0.43712392,0.4418665,0.44393408,0.43707636,0.41576263,0.38033453,0.33694613,0.29795852,0.27235535,0.26180318,0.25935504,0.2576455,0.2538102,0.25160387,0.2614445,0.29480898,0.35494843,0.4266659,0.4818351,0.497564,0.47175756,0.42181668,0.36911616,0.3269236,0.297017,0.27495873,0.2555062,0.23737259,0.2240181,0.22122115,0.23221798,0.25475597,0.28272274,0.30928764,0.33022964,0.34275296,0.34586105,0.3384796,0.3213439,0.29849264,0.28085867,0.28591716,0.3258364,0.39650396,0.47114137,0.51996344,0.52717483,0.5045254,0.4756515,0.45952746,0.4546583,0.44709086,0.4253784,0.39537278,0.3751541,0.37952852,0.40663496,0.44049096,0.4636923,0.46823373,0.45728335,0.44040635,0.42699924,0.42246506,0.4244511,0.42621163,0.42098877,0.41374516,0.41663823,0.4403557,0.4749321,0.49760106,0.48805797,0.44974887,0.40201625,0.36349285,0.3367373,0.31431544,0.29062176,0.2688475,0.25502148,0.25169358,0.25539124,0.26101422,0.26421928,0.26366857,0.26028624,0.25724933,0.2575511,0.2634115,0.27519837,0.2925376,0.31491613,0.34432903,0.38631967,0.44392982,0.5108537,0.5676417,0.59663385,0.5933125,0.57137626,0.5464247,0.52537817,0.5062784,0.487718,0.47401333,0.46741924,0.46540007,0.4599159,0.4468414,0.4258994,0.40097728,0.37717214,0.3605977,0.35541546,0.35959625,0.36566567,0.3648455,0.3549726,0.3431388,0.34549358,0.37537596,0.43246007,0.4956909,0.5384578,0.54538685,0.5230201,0.48868683,0.45666155,0.4311832,0.40959612,0.38877988,0.36701846,0.34470272,0.32297704,0.3030645,0.28553304,0.26987708,0.2558888,0.24367444,0.23358779,0.22494906,0.21666677,0.20818521,0.20156966,0.20251025,0.22031985,0.26049492,0.31666338,0.36744642,0.3900713,0.3764439,0.33854508,0.2962521,0.26235932,0.2392961,0.22456127,0.216362,0.21255516,0.20939948,0.20329772,0.19397883,0.1844139,0.17776358,0.17465128,0.1737241,0.17316718,0.1739874,0.1819203,0.20600255,0.24948566,0.3022189,0.34672323,0.3779088,0.4122138,0.47022653,0.54763913,0.61289805,0.6365847,0.620574,0.5931193,0.5785325,0.5786116,0.57918984,0.56992257,0.55036736,0.5254931,0.49850655,0.4728078,0.4537425,0.44779214,0.45687175,0.4784155,0.50627077,0.5339329,0.5511816,0.54645234,0.51158434,0.45468566,0.4016036,0.38617435,0.4242988,0.5008461,0.57561177,0.6144366,0.61128134,0.58803034,0.5703432,0.5655914,0.5633734,0.5495017,0.5223058,0.4897478,0.46081266,0.43473497,0.40336147,0.35952875,0.3062652,0.25635827,0.22297104,0.20973605,0.20914291,0.20983875,0.20485882,0.19682413,0.19806379,0.22871403,0.30429527,0.42263412,0.55527914,0.6641585,0.72360796,0.7345598,0.7131875,0.6742931,0.6255672,0.5747474,0.5347555,0.51570755,0.5142433,0.5146179,0.50320446,0.47898877,0.4498637,0.4200735,0.39019775,0.3649771,0.35994086,0.38801467,0.44475374,0.50396895,0.5385308,0.54049593,0.5295129,0.53149825,0.5588657,0.5977278,0.62631637,0.62969804,0.6123904,0.58517456,0.5568574,0.5263477,0.49011573,0.44772336,0.40514508,0.37160286,0.35354996,0.35170236,0.36056283,0.37103176,0.3754736,0.3703791,0.35918513,0.34658766,0.33648214,0.32836804,0.32281658,0.32337055,0.33920565,0.37631872,0.4311273,0.48542714,0.5192485,0.5219121,0.49919522,0.46419606,0.42937696,0.40223444,0.3859173,0.38017228,0.38105252,0.38428167,0.38685822,0.38876545,0.39022866,0.39122188,0.3909682,0.38975534,0.38884255,0.39021662,0.39490065,0.40221158,0.40992257,0.41721356,0.42728445,0.44617033,0.475773,0.509767,0.53656644,0.55047256,0.5541586,0.554753,0.5538781,0.5487903,0.5364217,0.5181591,0.49862775,0.4824916,0.47243512,0.46692434,0.4628569,0.45745322,0.4510555,0.4435208,0.4334782,0.41820395,0.39775512,0.3753401,0.35719642,0.34975013,0.357577,0.38223532,0.42101002,0.46677884,0.50652033,0.5284615,0.52804804,0.5127824,0.49178836,0.46770334,0.43418112,0.38652822,0.32889673,0.2730992,0.22971804,0.20195138,0.18648058,0.17817856,0.17331107,0.1693087,0.16368066,0.15537493,0.1474421,0.14828058,0.16617902,0.20426989,0.25848183,0.32487014,0.40205827,0.48718432,0.5678749,0.6239943,0.6416274,0.6225028,0.5831017,0.5412782,0.5081422,0.48746446,0.47716308,0.47205064,0.46169662,0.43915662,0.40386263,0.36678913,0.34067932,0.33385,0.34471735,0.36529937,0.387782,0.4073998,0.42359948,0.43448058,0.4392791,0.44024554,0.44708872,0.46769443,0.49936485,0.52617925,0.53213096,0.51392186,0.48169363,0.44913915,0.42250106,0.40097806,0.37978372,0.3563542,0.32948467,0.30166984,0.27657261,0.25994566,0.25339,0.25472045,0.25721768,0.25682294,0.25244477,0.24612857,0.239016,0.23176272,0.22625376,0.22833884,0.24898331,0.29821095,0.37503088,0.45955157,0.52284145,0.5461452,0.53332376,0.5020536,0.46617904,0.4290537,0.38819218,0.34532607,0.30546787,0.27642038,0.2611264,0.25776723,0.2572219,0.251273,0.23638593,0.21651776,0.19689192,0.18029986,0.16647558,0.15523261,0.14746875,0.1450765,0.15077458,0.17003556,0.20635699,0.25608692,0.3029307,0.32871732,0.3238374,0.29540598,0.25798258,0.22449714,0.19974184,0.18322088,0.17229873,0.16447417,0.15760757,0.15028699,0.14234318,0.13585049,0.1355835,0.14763892,0.17552675,0.21619213,0.260546,0.2989017,0.3262875,0.34369335,0.35637417,0.37348998,0.40604487,0.45900536,0.52427536,0.5814565,0.6134705,0.61625546,0.59957147,0.5738721,0.5434596,0.50891614,0.4727013,0.44289294,0.42409047,0.41410327,0.40123203,0.37464747,0.3307049,0.27658638,0.22681421,0.19587146,0.19131435,0.20876022,0.23440492,0.2533886,0.26016036,0.263827,0.28457686,0.33695576,0.41552877,0.4894719,0.52599245,0.5121226,0.46566033,0.41433096,0.3749298,0.34519228,0.31479165,0.27942047,0.24377418,0.21728347,0.20429617,0.20251465,0.20556946,0.21088178,0.2199536,0.2339216,0.24795878,0.25362888,0.24623351,0.22840218,0.20959486,0.20156015,0.21751617,0.26484558,0.3383913,0.4158992,0.4699196,0.4846233,0.46460867,0.42707703,0.38691163,0.34993687,0.31587163,0.28422278,0.25597948,0.23128115,0.2095416,0.19047336,0.17627728,0.16974664,0.1725825,0.1830122,0.19608845,0.20507199,0.20545529,0.19784474,0.1870956,0.18106937,0.1888581,0.22220278,0.284362,0.3645732,0.4343951,0.47087952,0.46763387,0.44023266,0.40548107,0.37343526,0.34375945,0.31539953,0.28821722,0.26368323,0.24183118,0.22262116,0.20628186,0.19394284,0.18551058,0.17901106,0.1732255,0.17263134,0.19050097,0.24059077,0.32382914,0.41892067,0.4961455,0.5397792,0.560601,0.5791382,0.6027837,0.61978763,0.6167097,0.59262586,0.55891395,0.5258069,0.4992906,0.47826907,0.460667,0.442979,0.43100634,0.43757108,0.47300184,0.52758604,0.57283705,0.58464414,0.56145054,0.5257662,0.49835575,0.48924184,0.49290267,0.50434947,0.516987,0.53020644,0.5462974,0.5717501,0.6070953,0.6417887,0.66332257,0.6662598,0.65875006,0.6492807,0.6425242,0.63521284,0.6240358,0.60706764,0.5865014,0.56689936,0.5532999,0.547744,0.5481024,0.5501749,0.5509867,0.55013317,0.5475202,0.5423295,0.53285617,0.51939285,0.50385815,0.4904048,0.48409843,0.489676,0.5074219,0.5304211,0.5475276,0.55028194,0.53757507,0.5139567,0.48485878,0.45546773,0.43121445,0.4183404,0.42000267,0.43414035,0.45362768,0.47071323,0.4798148,0.4803543,0.47509196,0.46913192,0.46389857,0.45739987,0.4451153,0.42653847,0.40527892,0.38810778,0.38221005,0.3946441,0.42756203,0.47334838,0.5131114,0.52797294,0.5093463,0.46336806,0.40313557,0.34171286,0.28938496,0.2520783,0.23084587,0.22028023,0.21337116,0.20472813,0.19356282,0.18231554,0.17668463,0.18335032,0.20625176,0.24135442,0.2800204,0.31576404,0.35016224,0.38593093,0.42178142,0.45333567,0.48020172,0.5050347,0.52543545,0.53332144,0.5219882,0.49489954,0.4615833,0.42983523,0.40042984,0.37019673,0.3374842,0.30551547,0.28092134,0.26886788,0.26927856,0.27727747,0.28701666,0.2950039,0.30014196,0.3022547,0.3009508,0.29785052,0.29689798,0.3026866,0.31652907,0.337787,0.36675632,0.40320015,0.44095692,0.46694902,0.47148108,0.45650375,0.43373486,0.4130763,0.39615488,0.3801874,0.36353835,0.34861198,0.3372917,0.3296202,0.32236466,0.31264973,0.2994305,0.28506014,0.2729944,0.26494864,0.25941935,0.25324693,0.24458618,0.23381995,0.22527325,0.22743177,0.2535766,0.31004736,0.38846448,0.46040964,0.49924907,0.4937756,0.4593223,0.4169607,0.3824675,0.35405084,0.32515743,0.2897015,0.2512404,0.2159146,0.18991257,0.17436288,0.168782,0.17172559,0.18159072,0.19447838,0.2051152,0.20810562,0.2018889,0.18835117,0.17336558,0.16447186,0.17140079,0.20363568,0.26180592,0.3330301,0.39120555,0.41692308,0.40651718,0.37573186,0.34149763,0.3141538,0.29332185,0.2757165,0.25849536,0.24106973,0.22404762,0.20825951,0.19452302,0.18331747,0.17520285,0.1702994,0.16814955,0.16725023,0.16575354,0.16257514,0.16010366,0.1673987,0.20016043,0.27280632,0.38439155,0.51166946,0.6195118,0.6821149,0.69559544,0.67022914,0.6184319,0.55020434,0.4802735,0.42521656,0.39492548,0.38532236,0.38697827,0.3944222,0.40740958,0.42303732,0.43455145,0.4358591,0.42722356,0.4122335,0.39487886,0.3771075,0.36031222,0.34595037,0.33747354,0.34315094,0.37172946,0.42366526,0.4820557,0.5212788,0.5246678,0.4969293,0.45720148,0.42175737,0.39537695,0.3733441,0.3499508,0.32160687,0.2885379,0.25306225,0.21890827,0.18880387,0.16471754,0.14747532,0.1369871,0.13231593,0.13364895,0.1444618,0.16920616,0.20864718,0.25945273,0.3193688,0.3928349,0.48181686,0.5786269,0.66288567,0.7202869,0.74959064,0.76296663,0.7693648,0.7710193,0.7652845,0.7537086,0.7424136,0.73606676,0.7304914,0.7118649,0.6678827,0.5983862,0.5206862,0.4592608,0.43306133,0.4432908,0.47388068,0.5013295,0.50913846,0.4968084,0.47712934,0.46786776,0.48103058,0.5168806,0.56293106,0.60072416,0.61584496,0.6030695,0.56521314,0.5088081,0.44303742,0.3783698,0.32350108,0.2814825,0.24985339,0.22394358,0.2018102,0.18723254,0.19225077,0.23130001,0.31037486,0.41442025,0.51195365,0.57368344,0.58969754,0.5687439,0.52498883,0.47490945,0.44148433,0.44972393,0.5062162,0.58391804,0.6391191,0.64318824,0.6037801,0.5522103,0.5187023,0.51532465,0.5366649,0.56991863,0.6034126,0.63060254,0.6492455,0.65856797,0.6580972,0.64843863,0.63327104,0.61850303,0.60893226,0.6053099,0.6035877,0.59744805,0.58284646,0.56367224,0.5544105,0.5728483,0.62648654,0.702307,0.7745204,0.822354,0.8431267,0.84758407,0.8473199,0.8469096,0.84613085,0.8445329,0.84352416,0.8445985,0.8483069,0.8538947,0.8609352,0.86989665,0.8813031,0.8940925,0.90487415,0.91076374,0.91106313,0.9086168,0.90648174,0.9071751,0.9108332,0.9171888,0.92367214,0.92670274,0.92033035,0.90081906,0.8663309,0.8197369,0.76585096,0.7125528,0.667453,0.6343674,0.6105011,0.58844334,0.56380796,0.53749424,0.5143065,0.4984193,0.49377513,0.50541973,0.53590006,0.5821577,0.6330498,0.6761398,0.69880193,0.69384104,0.6610183,0.616204,0.5844988,0.5865008,0.61866826,0.6571123,0.67501587,0.661632,0.62254286,0.5693125,0.5107287,0.45210683,0.3978484,0.3518683,0.31629017,0.29031026,0.27110168,0.25557148,0.24219961,0.2310942,0.22281528,0.2172031,0.2130782,0.20924644,0.20493452,0.20111829,0.20242548,0.21834792,0.25936747,0.32497692,0.39758492,0.44758788,0.45594916,0.4250001,0.37754023,0.33817697,0.3262399,0.34901533,0.4037951,0.47258094,0.5322414,0.5630253,0.56381994,0.54638976,0.52971643,0.5246422,0.5328374,0.54540294,0.55265063,0.54688096,0.5261834,0.4901974,0.44506133,0.4056543,0.396916,0.4357573,0.51666796,0.60928494,0.6812132,0.718152,0.72786003,0.72533655,0.71978307,0.7121296,0.70081234,0.68588656,0.6702644,0.65705544,0.6464446,0.63246566,0.60585713,0.5626939,0.5124504,0.47410774,0.46254095,0.4763228,0.5014839,0.5216988,0.52871305,0.522391,0.5126581,0.5151618,0.5441702,0.59801733,0.65755457,0.69670874,0.700125,0.6684732,0.6135809,0.5517712,0.50110114,0.4782475,0.4892938,0.52426773,0.561394,0.58225423,0.58195364,0.56842834,0.5531655,0.5435323,0.54103273,0.54291826,0.5452196,0.5449237,0.54111576,0.535665,0.532229,0.53596616,0.54871696,0.5663397,0.57721734,0.5703287,0.54195905,0.49897012,0.45255718,0.41182134,0.38010696,0.35631716,0.33751044,0.32144913,0.30768904,0.29747912,0.29206237,0.29187712,0.29692033,0.30801484,0.3270162,0.3544459,0.38888016,0.4271439,0.4682946,0.51327914,0.5631009,0.6155531,0.66603667,0.71018076,0.74383974,0.7626187,0.7630358,0.7461501,0.71863055,0.68830657,0.6608347,0.63671297,0.61313534,0.5839041,0.5448528,0.49721447,0.44956812,0.41037735,0.38224602,0.36110362,0.34390393,0.33194053,0.3289665,0.33463582,0.34402883,0.34996843,0.34905234,0.34494206,0.35081136,0.38095924,0.4390668,0.5082228,0.56186736,0.580641,0.5650551,0.52722204,0.48060358,0.4343346,0.3967651,0.37378618,0.36527464,0.36343086,0.36014876,0.35208276,0.3413105,0.3298763,0.3187765,0.30817106,0.29849648,0.28912067,0.27876377,0.26671302,0.25435972,0.24604702,0.24902284,0.27100816,0.31145513,0.35790244,0.38841963,0.38936567,0.36221766,0.32366392,0.28876075,0.26466587,0.24903864,0.2381435,0.22988762,0.2240162,0.22011857,0.21717589,0.21467382,0.21317434,0.21374524,0.21716362,0.22294037,0.22968967,0.23517902,0.23789968,0.23733781,0.2362637,0.24160492,0.26506314,0.3139653,0.38229635,0.4462352,0.4796327,0.4704416,0.42905486,0.37611744,0.32911363,0.29507482,0.2740644,0.26267016,0.25679067,0.25239164,0.24769194,0.24294288,0.23948671,0.23798867,0.23930013,0.24471049,0.25550947,0.2715893,0.29424512,0.32905236,0.3840818,0.46166095,0.55154365,0.63601035,0.69868535,0.7333463,0.7405676,0.7263753,0.69803363,0.66467696,0.63303757,0.60644346,0.5835033,0.56075424,0.5334069,0.49952492,0.4615475,0.4287615,0.41084477,0.41269374,0.4286877,0.44778118,0.45939502,0.4602749,0.4529154,0.4425299,0.43217516,0.42420328,0.42165253,0.43107948,0.45556235,0.48959914,0.51614803,0.52024657,0.49972558,0.46817288,0.44031772,0.42047238,0.40158078,0.37591127,0.34334788,0.31061193,0.28420588,0.26518795,0.24996221,0.23534425,0.22104849,0.2090322,0.19958939,0.19134903,0.18209155,0.17174871,0.16181567,0.15535869,0.15825526,0.1798685,0.23113053,0.3104163,0.39919662,0.4641312,0.48476723,0.46291664,0.4226327,0.38425136,0.35485247,0.32712406,0.29292557,0.2504555,0.20646739,0.17079611,0.14994456,0.14300309,0.14411314,0.1472796,0.14976765,0.15079887,0.15008463,0.14733241,0.14379112,0.14119995,0.1427022,0.1536837,0.18467182,0.24263519,0.3222731,0.39951292,0.448862,0.45862988,0.44024158,0.4123787,0.38922882,0.3741307,0.36669397,0.36550784,0.36904836,0.3741835,0.37832543,0.38010797,0.38011074,0.379097,0.3786775,0.37948057,0.3809192,0.38021323,0.37508476,0.36506438,0.35233817,0.34232238,0.34480262,0.37071064,0.42129162,0.4802332,0.5190758,0.51724315,0.47519302,0.41184783,0.3481289,0.29668763,0.26045448,0.237894,0.22563297,0.21948892,0.21482216,0.20835905,0.20081179,0.19885023,0.21383996,0.25411233,0.31599984,0.38134325,0.42929423,0.45193207,0.46020627,0.47419944,0.507032,0.5584891,0.61393064,0.6543401,0.6609133,0.63044286,0.57398456,0.51556844,0.4717677,0.4476802,0.43515816,0.4257748,0.4143249,0.40150174,0.38985547,0.38173652,0.37714162,0.37410042,0.37147978,0.36954877,0.3704772,0.37452614,0.3803778,0.38326418,0.3783562,0.3629346,0.34352067,0.33590618,0.36118737,0.42781666,0.5245426,0.6175308,0.67512035,0.6794694,0.6407795,0.57965714,0.5198768,0.47212398,0.4406806,0.423383,0.42057452,0.43074295,0.45174608,0.476926,0.5005172,0.5178693,0.5273847,0.52670735,0.513709,0.48926368,0.4604269,0.43791798,0.43048266,0.44158396,0.47310337,0.5233194,0.5856157,0.6414225,0.6729481,0.6703656,0.64131373,0.5989298,0.554811,0.51246476,0.47078967,0.42834607,0.38645172,0.35180283,0.33439422,0.34256685,0.37631905,0.42467904,0.47215343,0.504888,0.5155832,0.5004731,0.46077684,0.40249273,0.33820137,0.2833097,0.25500342,0.26686564,0.3208324,0.39927268,0.4705192,0.5084955,0.50844824,0.48589385,0.45987466,0.43956605,0.42388093,0.40867078,0.39355615,0.38017854,0.3697714,0.3603675,0.34898582,0.3340774,0.31731638,0.3027527,0.2928276,0.28626382,0.2786378,0.26735282,0.25370774,0.24415024,0.24819215,0.27792564,0.33812544,0.41863737,0.49058247,0.5258969,0.5151638,0.4747912,0.42875913,0.39140153,0.36345112,0.341006,0.3230571,0.3095167,0.29857162,0.2867308,0.27239957,0.25679374,0.24267322,0.23236723,0.22682528,0.2246232,0.22255625,0.21723585,0.20780563,0.19705069,0.19212496,0.2044368,0.24568236,0.31804898,0.406135,0.48139372,0.52001303,0.5177802,0.4888831,0.45207468,0.41844368,0.39105713,0.36849502,0.34975234,0.33298874,0.3169967,0.30000436,0.28214368,0.26457173,0.2504474,0.24174726,0.23742224,0.23220633,0.22089072,0.20291698,0.18350278,0.17225987,0.17994817,0.21765749,0.2855511,0.36749446,0.4297761,0.44664136,0.41500714,0.35896292,0.30501547,0.2679449,0.2461353,0.23301522,0.22368586,0.21838199,0.2209891,0.2359482,0.2615801,0.29011178,0.31282136,0.33159325,0.35478356,0.38849697,0.4244765,0.44747958,0.44541696,0.4210181,0.390372,0.37885013,0.4060178,0.47372046,0.55742925,0.623365,0.6485748,0.63708377,0.60823506,0.5817129,0.566597,0.5648549,0.5743341,0.58921045,0.60006183,0.5978225,0.57881624,0.5456113,0.5054845,0.46755752,0.44022992,0.42655262,0.4222652,0.41870427,0.4099662,0.3963233,0.38488564,0.38590083,0.41021463,0.4586586,0.5176026,0.56113786,0.57064104,0.54521155,0.49966922,0.44774964,0.39472798,0.34005716,0.2848898,0.23344688,0.19032674,0.15813775,0.13702117,0.12522604,0.12151305,0.12748677,0.14857845,0.18827753,0.24383236,0.3040893,0.35739112,0.396459,0.4229952,0.44366542,0.4682841,0.50259095,0.5444097,0.58162326,0.6009713,0.59874654,0.5826824,0.56356007,0.5432873,0.5174913,0.48403642,0.45072556,0.4290478,0.42406178,0.43013147,0.43520132,0.42935538,0.41087708,0.38733682,0.37098944,0.36758736,0.3718778,0.37102497,0.3575385,0.33392397,0.31129512,0.30363095,0.32448855,0.37892365,0.4557128,0.5268671,0.56456715,0.55755097,0.51771504,0.46732268,0.42610025,0.40163133,0.3904306,0.38275495,0.37093782,0.35548544,0.34404233,0.34450278,0.3583474,0.38111818,0.4071654,0.43223706,0.45192787,0.46026433,0.4523274,0.42848054,0.39692378,0.37255073,0.37432706,0.4159266,0.4957681,0.5897841,0.6634366,0.69198084,0.6771812,0.6409264,0.6055458,0.57732064,0.54867417,0.51263297,0.47437564,0.44907936,0.4490629,0.47349772,0.5068148,0.52891916,0.5258458,0.4979758,0.45769718,0.42166802,0.40066555,0.3938451,0.3915334,0.38442186,0.3758649,0.38356793,0.42584983,0.5013635,0.5826133,0.63653654,0.6479986,0.6286461,0.5976796,0.56556964,0.52941436,0.4853828,0.4366267,0.39237836,0.36040553,0.34167847,0.3323928,0.32788968,0.32762727,0.3328426,0.34395465,0.3553382,0.35995936,0.35380208,0.34159878,0.33274484,0.33848646,0.36813068,0.42503738,0.50105876,0.5745497,0.6236221,0.63653713,0.61894256,0.5807906,0.5331461,0.48389885,0.44379115,0.4201851,0.41284165,0.41289485,0.41080013,0.4036671,0.39501044,0.38880575,0.38614914,0.3846062,0.3819442,0.3751177,0.3621559,0.34140718,0.31453246,0.28829977,0.2755743,0.29222187,0.3441992,0.4203417,0.4924859,0.5370284,0.5466261,0.5337006,0.51330465,0.49567607,0.48325965,0.47616994,0.4723628,0.46766225,0.45792818,0.4419949,0.4231757,0.4056641,0.3921008,0.3821268,0.37428328,0.36724934,0.36007807,0.3518034,0.34072316,0.32809076,0.32103977,0.33463696,0.379684,0.45109424,0.52070504,0.5560783,0.54012877,0.48405087,0.41324893,0.35037506,0.30339763,0.26961792,0.24313217,0.22055875,0.20133139,0.18608187,0.1746995,0.16642046,0.16048276,0.1583466,0.16370623,0.18209966,0.21744263,0.2682055,0.32432783,0.36958003,0.3933725,0.40174064,0.41746676,0.45902777,0.5212566,0.5748963,0.5938273,0.5766544,0.5460213,0.52378255,0.51615494,0.5157288,0.51617163,0.5158832,0.51396614,0.5047842,0.48383108,0.45355156,0.42495695,0.40840206,0.40859702,0.42381322,0.44995627,0.47980404,0.5010519,0.49907866,0.4679403,0.42107233,0.39017937,0.40458068,0.4686142,0.55286884,0.61523086,0.62770104,0.594318,0.5401197,0.49198148,0.45948088,0.43716964,0.41376844,0.3857181,0.3563958,0.33219418,0.31414118,0.2988143,0.28022346,0.25766167,0.23548502,0.22095324,0.21494634,0.21225691,0.20473278,0.19131511,0.18103015,0.19338997,0.24718483,0.3468069,0.47188446,0.5868728,0.6620299,0.6898861,0.681334,0.651956,0.6133047,0.5758927,0.5506976,0.5443516,0.55007845,0.55170816,0.53534555,0.5033266,0.46818233,0.44138741,0.4203986,0.3989816,0.37790883,0.37363526,0.40088034,0.45804468,0.52058464,0.56366366,0.5805041,0.58760744,0.6029237,0.6286109,0.650547,0.6537487,0.6355127,0.6021471,0.5640204,0.5275319,0.49797142,0.47413325,0.45167366,0.42376804,0.39021182,0.35682067,0.33034793,0.3130722,0.30225283,0.29585353,0.29250523,0.29136673,0.2894825,0.28449216,0.27765512,0.27604032,0.2909821,0.33115685,0.39372435,0.46032295,0.5054018,0.5138741,0.49147296,0.45984182,0.4381965,0.43195477,0.43272045,0.4293712,0.41580674,0.39359495,0.3681581,0.34555542,0.3301263,0.32428932,0.32803816,0.3384732,0.35059473,0.3585074,0.35874996,0.35125113,0.33997476,0.3315492,0.3346152,0.3594736,0.41034982,0.480106,0.54582244,0.5855295,0.5897043,0.56942207,0.54019266,0.5120599,0.48432818,0.45466927,0.4232209,0.39333573,0.3684475,0.35028157,0.33863798,0.33112255,0.32554594,0.3205246,0.31669834,0.31421423,0.3129299,0.31161585,0.3095928,0.3079926,0.3122621,0.33217975,0.37577212,0.44013724,0.50780314,0.55508715,0.5682325,0.5512819,0.52158886,0.49444342,0.47330654,0.44974184,0.4135704,0.3636198,0.3095714,0.26497653,0.2368613,0.22345681,0.2185751,0.21764584,0.21848924,0.21966998,0.21986806,0.2202238,0.22466223,0.23821636,0.2643883,0.30641577,0.3674645,0.44545397,0.52714986,0.5892369,0.6138118,0.59927195,0.56175464,0.52128273,0.49249497,0.48228714,0.4901005,0.5088439,0.52210355,0.5153747,0.48318982,0.43757066,0.39516234,0.36762592,0.35315764,0.34426394,0.3354168,0.32770562,0.3250334,0.3283584,0.33456436,0.34220228,0.35712433,0.3895203,0.44118914,0.49840078,0.5384558,0.54759455,0.5290705,0.49799502,0.4666784,0.43907598,0.41215292,0.383178,0.3520718,0.32154107,0.294309,0.27195033,0.25476137,0.24241132,0.23429537,0.22924697,0.22579433,0.2222832,0.21763164,0.21165092,0.20541386,0.203194,0.21381873,0.25111306,0.3229091,0.42090502,0.51479435,0.5708106,0.57044905,0.5232218,0.45358387,0.38614944,0.33372942,0.2986176,0.27683017,0.26180303,0.24849989,0.23379807,0.2191534,0.20673387,0.199444,0.19727843,0.19908059,0.20126323,0.19983922,0.19157143,0.17669462,0.16087182,0.15488803,0.17319357,0.22376783,0.30026945,0.3771774,0.42635337,0.4330987,0.4067253,0.36759678,0.3329862,0.30837175,0.29221568,0.2816712,0.27513412,0.27077314,0.26599208,0.258779,0.2501274,0.24426122,0.24663836,0.2592602,0.27927795,0.2995963,0.31638578,0.33036938,0.3473067,0.37062442,0.40245092,0.4447641,0.49883866,0.55976385,0.6114382,0.6378626,0.63234276,0.60474396,0.56879157,0.53418565,0.5023703,0.47250995,0.44552383,0.42312527,0.404991,0.3865299,0.3613151,0.3265849,0.28589025,0.24954063,0.22746402,0.2244619,0.23585393,0.25164062,0.26225543,0.26583716,0.27058756,0.29360855,0.3494914,0.43720832,0.5308989,0.5946978,0.6057799,0.5713053,0.5163451,0.4624286,0.4136105,0.36403987,0.31000277,0.25676605,0.21264724,0.18329494,0.16750872,0.16118021,0.15976264,0.16105562,0.16329116,0.16501336,0.16443212,0.16083218,0.15435438,0.14669216,0.14088885,0.14043237,0.14654683,0.15621537,0.16384844,0.164692,0.15790744,0.14598757,0.1337104,0.12564562,0.124256395,0.12796132,0.13248076,0.13435973,0.13336833,0.13170333,0.13107961,0.13164885,0.13265117,0.1333112,0.13317424,0.1320768,0.1305003,0.1289428,0.12692653,0.12308043,0.11621953,0.10703849,0.09729614,0.088906884,0.08242508,0.077724196,0.07416501,0.071109235,0.06771339,0.06334758,0.057931323,0.051931012,0.045910534,0.04022712,0.03514386,0.031011762,0.028146498,0.026578626,0.026014432,0.026035098,0.026294798,0.026550094,0.026653863,0.026553294,0.026296772,0.02592353,0.02538287,0.024545537,0.023441017,0.02237382,0.021833338]