[0.0012639026,0.0038284836,0.011522143,0.025071384,0.0426949,0.059079107,0.0695441,0.072236754,0.06955332,0.0646389,0.059904292,0.055906657,0.052659508,0.049916025,0.04753549,0.045394305,0.043487996,0.041822076,0.04124957,0.04378434,0.05283749,0.06861205,0.08634928,0.095657565,0.08999855,0.0703265,0.04640204,0.027161961,0.017422369,0.016785061,0.024296483,0.038222503,0.055434126,0.07051469,0.07909221,0.07987702,0.07522712,0.068669364,0.06373281,0.063492514,0.069452755,0.080423914,0.091641344,0.098371826,0.09833006,0.09350852,0.08750073,0.084047996,0.086046934,0.09487695,0.10942582,0.12508382,0.13676234,0.14136522,0.13985227,0.13510156,0.13010217,0.12643255,0.123154335,0.117161095,0.10433223,0.08397905,0.059715908,0.03818687,0.024057783,0.018891769,0.022244424,0.033831302,0.052649107,0.07521916,0.09573534,0.10925233,0.11441079,0.113578804,0.11000043,0.10590911,0.10195432,0.098336466,0.095037855,0.09199432,0.08891544,0.0857149,0.08248284,0.07944837,0.076674126,0.07422029,0.072072394,0.07018218,0.068332575,0.06636887,0.06432351,0.06240033,0.061576203,0.063609,0.07100528,0.08294279,0.09433853,0.09630227,0.08475113,0.06284414,0.040346935,0.025664417,0.023976808,0.038114183,0.06894147,0.112551354,0.15673198,0.18685506,0.19315045,0.17794408,0.15111162,0.12462484,0.10663662,0.10176185,0.11045454,0.12853085,0.14821981,0.16202737,0.16692394,0.16358954,0.15456837,0.14272535,0.13241597,0.1266789,0.12481826,0.121852435,0.11517618,0.1066609,0.100420386,0.09683921,0.09428082,0.093460344,0.09652383,0.10270816,0.105342664,0.10052141,0.09040338,0.08199154,0.078030296,0.077686585,0.0819644,0.09601414,0.12349743,0.15874058,0.18964426,0.20535964,0.20385472,0.18988466,0.17068386,0.15180963,0.13676791,0.12648372,0.11966517,0.11347351,0.105882935,0.09672,0.08753773,0.07982036,0.07430523,0.07100593,0.06994351,0.07088352,0.07284147,0.07406175,0.0730243,0.06977425,0.0667021,0.068067215,0.077949256,0.09606584,0.11635494,0.12887917,0.12786283,0.11457033,0.09658345,0.08035379,0.0693045,0.06418266,0.065671295,0.073530026,0.0846731,0.094165206,0.09772938,0.09478575,0.0875437,0.079497576,0.073961765,0.07334641,0.07839117,0.08676729,0.09453984,0.09811311,0.09687868,0.09267414,0.08897183,0.08977524,0.098340444,0.11512184,0.13588078,0.15378352,0.1634177,0.16426724,0.15979,0.15436411,0.15074022,0.14878583,0.14610048,0.13933927,0.12730202,0.112039946,0.09763787,0.08679616,0.07968251,0.07560187,0.075584084,0.08172828,0.09460182,0.11069722,0.12465456,0.132222,0.13299398,0.12880391,0.122206934,0.11517506,0.10944081,0.106319405,0.10605657,0.10759995,0.108962625,0.10837481,0.1048829,0.09881208,0.091600485,0.08545724,0.082315214,0.082723565,0.08538852,0.087884426,0.08804538,0.08573377,0.083746366,0.08758739,0.1008353,0.12114056,0.13874094,0.14418073,0.13493215,0.117466696,0.10007131,0.08720129,0.07859398,0.073118754,0.071007006,0.07310899,0.07888707,0.08603572,0.09159837,0.09440458,0.096469164,0.10339009,0.120323956,0.147586,0.17721045,0.19790463,0.20182401,0.19045855,0.17154765,0.15348051,0.13988052,0.12978266,0.11998365,0.10833935,0.09597636,0.08816456,0.09302894,0.11591641,0.15474446,0.19836058,0.2338397,0.25193354,0.25073943,0.23208179,0.2018211,0.16852762,0.14201833,0.12695627,0.120840915,0.118035346,0.11625675,0.11770278,0.123696156,0.13079505,0.13259186,0.12537877,0.112647116,0.10667309,0.12643288,0.1878749,0.286983,0.3937619,0.46619454,0.4828097,0.45436108,0.412582,0.38063332,0.36418542,0.35661563,0.35182145,0.34727955,0.34245232,0.33738825,0.33233556,0.32803857,0.32626823,0.32974508,0.34125033,0.35606766,0.36090055,0.3373334,0.27966818,0.19972439,0.12258688,0.067027874,0.039637245,0.037671413,0.059235543,0.10252083,0.16074853,0.21940224,0.26393175,0.28913638,0.30179873,0.3160939,0.3448871,0.3956301,0.4611968,0.5236308,0.55680656,0.5486341,0.49981216,0.42790604,0.3510183,0.29484805,0.28238413,0.32473886,0.4024596,0.47371474,0.50401765,0.48961997,0.4550432,0.42555237,0.4110818,0.40582332,0.39755902,0.37408483,0.32590258,0.25500947,0.17453803,0.10443572,0.060439426,0.053975094,0.09713313,0.19354115,0.32794583,0.4552854,0.5322197,0.53953,0.5002796,0.4485438,0.41017833,0.38764742,0.37498912,0.36456764,0.35338712,0.34028426,0.3262352,0.3129191,0.30198953,0.29416576,0.28921866,0.2861692,0.28322858,0.2785056,0.2713145,0.26272094,0.25486407,0.24954659,0.24904017,0.25655648,0.2744728,0.29814026,0.3150035,0.31125143,0.28498065,0.24758267,0.21561886,0.19713235,0.19065474,0.19001193,0.19109069,0.19185986,0.19122066,0.18858218,0.18436235,0.17986424,0.17855419,0.18815012,0.22206861,0.2885877,0.37892473,0.46132144,0.5003838,0.48042023,0.4165866,0.34322095,0.2940623,0.2924358,0.34244284,0.4267292,0.5065141,0.5444355,0.5270239,0.47394034,0.41791618,0.38253438,0.37237492,0.37910542,0.3886007,0.38650927,0.36509657,0.3290472,0.29297265,0.27112532,0.26850036,0.28113985,0.30149007,0.3227147,0.33979115,0.34936014,0.3511447,0.34711674,0.34026542,0.3342152,0.33559075,0.3564326,0.40243924,0.463878,0.51033825,0.5173386,0.4822884,0.43042576,0.38717553,0.36388054,0.35473248,0.35137725,0.34880996,0.34571958,0.34157303,0.33654556,0.33168328,0.3290113,0.33123717,0.34140715,0.3581922,0.37238732,0.36812997,0.33490244,0.2767699,0.21125905,0.15643105,0.12178304,0.10958987,0.12147347,0.1574763,0.2105571,0.2633774,0.2986971,0.30965844,0.30507192,0.3015851,0.31477037,0.35348594,0.414181,0.4816128,0.53041095,0.5428777,0.5161069,0.4639633,0.40308475,0.34950992,0.32110798,0.3326275,0.38358855,0.44570962,0.48412395,0.48033825,0.44809726,0.4127015,0.39258718,0.3895044,0.39386794,0.3903347,0.36242828,0.3041975,0.22551407,0.14894138,0.09530545,0.07785833,0.1051844,0.17975636,0.28856623,0.3967359,0.4656994,0.47908866,0.45236683,0.41429922,0.3832247,0.3613048,0.34347463,0.32745993,0.31379774,0.30345154,0.2957581,0.28942212,0.28304914,0.27596232,0.26863793,0.262266,0.25762346,0.253975,0.24953441,0.24306889,0.23475428,0.22624277,0.22096199,0.22405815,0.24159163,0.2717422,0.30268416,0.3137622,0.29515347,0.25305915,0.20863205,0.17752802,0.16405709,0.16175485,0.1636082,0.16531573,0.16537647,0.16394533,0.16224165,0.16198812,0.16491808,0.17581093,0.2041256,0.26090607,0.34255388,0.42515898,0.47067988,0.45914268,0.4001063,0.32903677,0.27903965,0.2702594,0.30848038,0.38469875,0.47230175,0.5294469,0.5266109,0.46576604,0.38090238,0.31051055,0.27567407,0.27726707,0.3011267,0.32881442,0.34119758,0.33364654,0.3160301,0.30563334,0.3088518,0.31914207,0.33044565,0.34359154,0.36326358,0.38249755,0.39009893,0.37864378,0.35494766,0.3291558,0.3092592,0.29770407,0.29671025,0.30647048,0.32398045,0.342397,0.35630366,0.3641329,0.3686906,0.37354055,0.38113877,0.39067948,0.39902464,0.4021374,0.3986312,0.39091346,0.38409424,0.38213396,0.38550162,0.39125738,0.39506125,0.3922874,0.37822747,0.34960186,0.30775997,0.26163748,0.2254508,0.212038,0.224232,0.2525873,0.28022972,0.2940686,0.29233405,0.2843605,0.28275347,0.2940135,0.31599182,0.33991623,0.35865808,0.36903253,0.3724728,0.36898533,0.35640517,0.3309348,0.29207978,0.24385911,0.19403924,0.15037872,0.11763701,0.096307874,0.08383877,0.07760287,0.07751483,0.08631254,0.10687361,0.13887006,0.17779188,0.21785907,0.2540417,0.28332093,0.3019212,0.30685887,0.29564402,0.26949182,0.23245575,0.19293632,0.16109,0.14424178,0.14111039,0.14167877,0.13498251,0.117753476,0.096261494,0.08080739,0.07925876,0.09689363,0.13681932,0.19780737,0.26964265,0.3342301,0.376457,0.3921534,0.38965192,0.3792627,0.36735463,0.35483313,0.34176517,0.3298756,0.32104945,0.3160214,0.31310222,0.3101446,0.30561975,0.29936185,0.29318416,0.2888007,0.28782308,0.28865913,0.28895542,0.28401765,0.27056438,0.24817728,0.2247305,0.21369612,0.22505371,0.2553866,0.2881796,0.3066027,0.30339646,0.28274325,0.25207597,0.21790667,0.18452364,0.15576689,0.13386361,0.1186094,0.10771486,0.098866194,0.09110852,0.08468571,0.07991022,0.076495625,0.07415726,0.073849164,0.07807075,0.089541435,0.10920098,0.13590747,0.1665101,0.1967358,0.22132897,0.23740083,0.24592829,0.25130823,0.25650132,0.26228496,0.26882467,0.2779541,0.29095873,0.30564347,0.31722108,0.3213239,0.31849185,0.31308872,0.31066003,0.31243917,0.31487492,0.31354344,0.30870965,0.30646837,0.31228724,0.32507405,0.3359305,0.33595157,0.32224646,0.2996634,0.27533153,0.25479063,0.24077344,0.23437329,0.2353514,0.24062055,0.24434948,0.23958509,0.22262998,0.19558394,0.1656791,0.14124243,0.12623689,0.119257666,0.11472544,0.10899016,0.10132978,0.09459146,0.090460934,0.08944851,0.09005544,0.09127891,0.09217554,0.09254726,0.092288435,0.091691345,0.09106714,0.09055344,0.09021681,0.08999171,0.09005189,0.090251334,0.09042724,0.09011667,0.089263104,0.087964326,0.086559325,0.08524862,0.084132284,0.08326435,0.08244369,0.081367776,0.07954822,0.07698601,0.073972195,0.07115555,0.06939861,0.06985715,0.074017785,0.081164815,0.08846309,0.0910139,0.08934774,0.09101984,0.1109216,0.15799741,0.22766848,0.2983638,0.3475366,0.3649805,0.36012685,0.34913,0.34320557,0.34191528,0.34031358,0.3345324,0.32528564,0.3151584,0.30679443,0.30080697,0.2957722,0.28918052,0.2800993,0.27063152,0.26501933,0.2659395,0.2721779,0.27822712,0.2767761,0.26188245,0.23300433,0.19782609,0.16958015,0.1593787,0.16782248,0.18505393,0.1980285,0.19925682,0.18880592,0.17146458,0.15242006,0.1363282,0.12611866,0.1232628,0.12709121,0.13813852,0.15783714,0.1872844,0.22131647,0.25102088,0.26794755,0.27140477,0.26555106,0.2555399,0.24261977,0.22613047,0.2062955,0.18622495,0.17005502,0.15958469,0.15369262,0.15154734,0.15481871,0.16564746,0.18056951,0.19107808,0.18853247,0.17163646,0.14538105,0.117237,0.09302244,0.0769907,0.07141304,0.07435239,0.07928706,0.078179605,0.0681571,0.05252485,0.037974108,0.028289163,0.023523258,0.0214589,0.020424234,0.019683763,0.018928185,0.018104559,0.017262543,0.016593128,0.01893109,0.032498643,0.07333825,0.1522641,0.26247084,0.36917713,0.43307742,0.4329814,0.38432226,0.31959963,0.2688907,0.24374776,0.24391086,0.26228273,0.29012468,0.3164848,0.3333088,0.3374014,0.331921,0.32207975,0.31358823,0.30950758,0.3079814,0.30132374,0.28066957,0.24382871,0.19738299,0.15255028,0.11806878,0.0985223,0.09563873,0.10889157,0.13375585,0.16065502,0.179166,0.18455096,0.18087663,0.17888437,0.18937051,0.2212798,0.27512905,0.34196356,0.40045258,0.43206534,0.4302802,0.40631413,0.3762231,0.3539183,0.34885278,0.36647975,0.40337777,0.44206503,0.460274,0.4458021,0.40667453,0.3623756,0.32955587,0.31413597,0.31350282,0.32186314,0.33140123,0.33527473,0.3302954,0.3193423,0.30724627,0.29844978,0.29815856,0.31551996,0.35589412,0.41099167,0.45588002,0.46755877,0.44144025,0.39494395,0.34997877,0.3191876,0.3030931,0.29764283,0.29909837,0.304634,0.31081632,0.31446448,0.31372842,0.30909076,0.3019705,0.2935166,0.2837777,0.27193657,0.25729743,0.24022625,0.22345723,0.21086214,0.20604205,0.20989126,0.22251935,0.24207127,0.26484397,0.28183657,0.28429624,0.2685741,0.2403592,0.20867203,0.1797526,0.15627648,0.14186455,0.14345323,0.16571595,0.20447095,0.24680777,0.27875832,0.29423323,0.29755926,0.30092946,0.31777224,0.3530289,0.39723408,0.4284049,0.42869568,0.39825812,0.3565918,0.32828605,0.3265468,0.35197067,0.39290562,0.4349679,0.4591963,0.45559046,0.4251283,0.38430393,0.350378,0.3335336,0.3332671,0.34264168,0.3534423,0.35644603,0.3474413,0.3276327,0.30555502,0.28889412,0.28107166,0.27915227,0.27865472,0.27665773,0.27309632,0.2686145,0.2628006,0.2535773,0.2399423,0.22616147,0.22484107,0.25294173,0.3174118,0.40484557,0.48228797,0.52149624,0.51452357,0.47917104,0.4381915,0.4073,0.38837433,0.37758157,0.37033018,0.36383966,0.35745808,0.35084066,0.3448162,0.339991,0.3383163,0.34153938,0.34880376,0.3551381,0.35322854,0.34127483,0.32440957,0.31165656,0.30660835,0.30710056,0.30979583,0.31521082,0.3246057,0.3348002,0.33906078,0.33410192,0.32531968,0.3229259,0.33493197,0.36206058,0.39824685,0.4309986,0.4444319,0.4258654,0.3752686,0.30681002,0.24188922,0.19841553,0.18800811,0.2150271,0.27347687,0.34181258,0.38751993,0.3874108,0.34331366,0.28335458,0.2378555,0.22280449,0.23335207,0.25615984,0.27682924,0.284201,0.27312332,0.24590318,0.21210794,0.18246233,0.16853249,0.18372633,0.23697881,0.32021126,0.4023647,0.4486252,0.44467747,0.40553796,0.35854864,0.32232144,0.3006351,0.28849804,0.28131983,0.2765081,0.27320015,0.2701085,0.26583233,0.2603738,0.25815102,0.2691012,0.30244258,0.35568562,0.40857986,0.43259266,0.4119282,0.3551384,0.2892467,0.23951645,0.21811001,0.22253989,0.24107592,0.25786147,0.25850627,0.23961218,0.20909552,0.18111181,0.16374551,0.15741129,0.1576618,0.16105244,0.16556586,0.16949381,0.17145103,0.17116986,0.16992213,0.17123182,0.18128645,0.20980752,0.2600893,0.3225891,0.37055203,0.3805635,0.34639964,0.28729334,0.23025651,0.19808543,0.20241489,0.24467628,0.31225076,0.37706637,0.40705058,0.3871157,0.3289009,0.2625937,0.21516573,0.20035718,0.21580154,0.24916263,0.2823356,0.30255482,0.31234324,0.3287162,0.36525428,0.41491258,0.4504337,0.44842473,0.40651286,0.34510627,0.28656173,0.24389778,0.2175687,0.20389247,0.2006833,0.21084897,0.24370271,0.30500972,0.3867903,0.46212435,0.50243646,0.49590504,0.4543775,0.40080258,0.35361195,0.32142645,0.3043426,0.29959524,0.3018957,0.30593324,0.3059428,0.2988619,0.28501913,0.26947096,0.25939798,0.2589613,0.26393363,0.2621198,0.24272336,0.20719473,0.16915315,0.14400466,0.13610609,0.14138731,0.1544552,0.1767788,0.21025173,0.25232732,0.2936729,0.32591105,0.34666386,0.36121055,0.37845114,0.40791377,0.4524126,0.50377196,0.5406237,0.54318035,0.5063458,0.4466355,0.38916513,0.35460666,0.35270953,0.38109353,0.42664576,0.4656049,0.477852,0.45683387,0.41517484,0.371158,0.3381721,0.31952226,0.31035733,0.30074942,0.27782747,0.2352888,0.1781287,0.12195303,0.081922226,0.06850958,0.089342594,0.15148109,0.25173208,0.36906728,0.46722332,0.518862,0.51884156,0.48750642,0.44878292,0.4193729,0.40131852,0.39131662,0.38458267,0.37833145,0.37014648,0.35803786,0.34215033,0.32562104,0.31415346,0.31209466,0.31941834,0.33041823,0.33684817,0.3326925,0.31770423,0.2969271,0.27806607,0.26782513,0.2701975,0.28191644,0.29323295,0.29052198,0.26864138,0.233845,0.20099938,0.17993002,0.17187573,0.17226654,0.17926204,0.19343948,0.21401928,0.2350273,0.25022838,0.25836375,0.26529023,0.27927566,0.3063661,0.34742197,0.39392987,0.42867836,0.43085587,0.39372364,0.3301965,0.26872358,0.23275281,0.23270845,0.2664323,0.32376742,0.38625777,0.4276582,0.4290037,0.3916135,0.33793068,0.29370943,0.2727562,0.2763807,0.2972391,0.3258498,0.34930107,0.3605428,0.3594301,0.3545663,0.35221615,0.35362983,0.3546891,0.35274935,0.3485179,0.34463695,0.34179783,0.33780536,0.33011165,0.3193561,0.3120121,0.31856367,0.3481563,0.3987808,0.4548522,0.4939135,0.50296444,0.48536968,0.45639393,0.42948505,0.4098204,0.39521983,0.3823147,0.3694602,0.3575357,0.34822008,0.34303102,0.34221956,0.3454212,0.3525559,0.36415896,0.37879658,0.39150718,0.39504918,0.38634732,0.36847603,0.34839925,0.3301287,0.3144226,0.30145535,0.2940964,0.29455635,0.30056012,0.30478564,0.30134448,0.2915562,0.28463292,0.2915236,0.3188019,0.36485457,0.4192299,0.46534428,0.48725295,0.47949135,0.4489179,0.4110192,0.38050067,0.3689616,0.3810866,0.41111436,0.44141534,0.45112273,0.4331721,0.39838418,0.36727834,0.35124028,0.34999427,0.3560528,0.3630503,0.36539242,0.3577472,0.33922568,0.31463125,0.29350904,0.2836169,0.29085281,0.31985047,0.36780664,0.41996634,0.44641793,0.42495808,0.353135,0.2583173,0.17604202,0.1372313,0.15529168,0.22472823,0.32146195,0.40771732,0.4535475,0.44982788,0.41408,0.3700494,0.33444142,0.30912343,0.29046586,0.2748642,0.26225424,0.2530894,0.24866344,0.25082275,0.26191127,0.28102347,0.30230865,0.3173851,0.3203487,0.3106003,0.29145947,0.26741606,0.2422897,0.21842426,0.19691516,0.17955358,0.16943014,0.17089958,0.1840979,0.20443316,0.22208942,0.22955133,0.22414772,0.210239,0.19473392,0.18336485,0.17808764,0.17711215,0.1772721,0.17579605,0.1722852,0.1681407,0.16546445,0.16557474,0.16955407,0.17901625,0.19573916,0.21912254,0.24497978,0.26678026,0.27860245,0.27633968,0.25913584,0.23163038,0.20590955,0.19452107,0.20070572,0.21226515,0.21342926,0.19771624,0.17446305,0.1572258,0.15469283,0.16809018,0.19626899,0.23531564,0.27427444,0.2953919,0.28362465,0.23804851,0.17704286,0.13117775,0.13198206,0.19182928,0.29533857,0.3997496,0.465042,0.47508463,0.44767776,0.41014424,0.38175866,0.3645935,0.35499504,0.35045877,0.35190812,0.35911477,0.36919346,0.37792408,0.38332725,0.38651636,0.3902607,0.3949518,0.39769018,0.39376828,0.38204277,0.36611488,0.35269973,0.3463206,0.3481857,0.3567046,0.36974978,0.38426435,0.3964046,0.40181705,0.39855495,0.38899407,0.37988254,0.37924758,0.39260885,0.42251304,0.46520248,0.5113326,0.5439933,0.551526,0.5323307,0.49977753,0.46872863,0.4508846,0.45154488,0.4716235,0.50532955,0.5375933,0.55377746,0.54780585,0.5279327,0.50538784,0.48640546,0.46890426,0.44759575,0.41852415,0.3791944,0.33113202,0.28076643,0.24143122,0.22743024,0.24747145,0.29932168,0.37081897,0.44417644,0.5011008,0.5285559,0.52458954,0.4991522,0.46919063,0.44807434,0.44161943,0.44805253,0.46204582,0.47598612,0.48112735,0.4730724,0.4533724,0.4305923,0.41193506,0.40162313,0.39892796,0.4024191,0.4100763,0.4195774,0.4281572,0.43334368,0.43380633,0.42977142,0.4224607,0.413584,0.40043077,0.37629867,0.33304974,0.27383703,0.21512924,0.18106925,0.18540777,0.22317155,0.27296567,0.3095549,0.31506136,0.2858713,0.23451924,0.18585221,0.1646733,0.18343496,0.2359025,0.30683067,0.38006747,0.4427034,0.4785508,0.47281158,0.42309093,0.35031536,0.28958952,0.27056623,0.3011568,0.36846694,0.44724086,0.5101024,0.5358458,0.5190068,0.47381374,0.4249439,0.39348593,0.3856412,0.39701536,0.417238,0.4378012,0.4517112,0.45787945,0.45861733,0.45918456,0.46149132,0.46488747,0.46662995,0.46682155,0.46739045,0.47080815,0.47594234,0.478954,0.47525534,0.46414873,0.45073733,0.44549716,0.45749295,0.48535815,0.5143244,0.52512354,0.50966483,0.47581518,0.43995437,0.41272774,0.39592686,0.38676974,0.38438204,0.39007238,0.40342402,0.42089507,0.43633175,0.44538292,0.44746897,0.44588065,0.44366726,0.43785453,0.41998005,0.38295424,0.33269855,0.28824058,0.27048656,0.2860676,0.32209674,0.3559753,0.3696189,0.35890964,0.33170536,0.30171347,0.28251967,0.2822874,0.3027034,0.3383899,0.38430834,0.4351584,0.484866,0.52038074,0.5295089,0.5091374,0.4699792,0.42874324,0.3991119,0.39020148,0.40547916,0.44108796,0.4814469,0.5063192,0.50339586,0.47691277,0.44358245,0.4192685,0.41088644,0.41340697,0.4145948,0.4001011,0.3616755,0.30421725,0.24616367,0.21139282,0.21549483,0.25879034,0.32890913,0.40810752,0.47766605,0.5204902,0.52700615,0.5029869,0.46607637,0.43713072,0.42727253,0.44078943,0.47216883,0.51026416,0.5341907,0.5286971,0.49143037,0.43911514,0.39133322,0.36045718,0.34664917,0.34716174,0.36027882,0.38498127,0.41523227,0.44220603,0.4586611,0.46471533,0.46509114,0.46404636,0.4592906,0.4415704,0.40087053,0.33665022,0.26485658,0.21305269,0.20460469,0.2431388,0.30831525,0.36761856,0.39267686,0.3723168,0.31539676,0.24686171,0.19784892,0.19072028,0.22913897,0.29637477,0.369494,0.4269854,0.4559194,0.44694534,0.40357032,0.34221897,0.29185098,0.27580166,0.30234554,0.3635203,0.44190645,0.51704025,0.5666454,0.5760539,0.54418975,0.48729548,0.4281461,0.3851651,0.36619857,0.36828092,0.38211298,0.396371,0.40677285,0.4182367,0.4400426,0.47276792,0.50368017,0.51374155,0.4947885,0.455941,0.41900992,0.4007776,0.40537414,0.42447937,0.44707096,0.46641675,0.48120406,0.49607763,0.51387066,0.53370756,0.545526,0.54062027,0.5161221,0.48108888,0.44733512,0.42414507,0.4130138,0.41063595,0.41183785,0.41291595,0.41265574,0.41105747,0.40775952,0.40263656,0.39771977,0.39879885,0.40950027,0.42826557,0.4459029,0.45578286,0.45719084,0.4573191,0.46133563,0.46914867,0.47395292,0.46869156,0.44911078,0.41693497,0.37901363,0.3467138,0.33171833,0.34052944,0.37013564,0.4103504,0.4515786,0.49025068,0.5262253,0.5562884,0.5725566,0.56837964,0.544646,0.5113206,0.4823397,0.47026452,0.47771272,0.49532732,0.5036063,0.48849845,0.45063928,0.40596756,0.3717424,0.35660824,0.3596613,0.37308404,0.38682678,0.39000103,0.3796414,0.36097696,0.34529126,0.33925664,0.3430425,0.35169712,0.36005518,0.36440945,0.36337602,0.35875094,0.3546652,0.35504952,0.36098573,0.37173906,0.38823092,0.41402087,0.45069253,0.49197975,0.52365047,0.5318916,0.5119541,0.47150767,0.42440435,0.3832151,0.35325226,0.33399117,0.32175234,0.31329057,0.30612823,0.3008494,0.30108842,0.31225398,0.33511612,0.36393872,0.38750073,0.39677027,0.38862386,0.3702493,0.35524356,0.35807216,0.3827053,0.41943225,0.44934866,0.4574292,0.440724,0.4079096,0.37062752,0.33778107,0.31413624,0.30416623,0.31169713,0.33996022,0.38709307,0.44576946,0.5017496,0.54149526,0.5582547,0.55637074,0.54445744,0.5291334,0.51333076,0.50001115,0.4922596,0.49022773,0.4882649,0.48084888,0.4655964,0.4477818,0.43353167,0.42932066,0.4355861,0.44792822,0.45654914,0.45288333,0.43555465,0.4116695,0.39172605,0.38189593,0.3816789,0.38645563,0.39112642,0.3928448,0.39103508,0.3876994,0.38491675,0.38337705,0.38355494,0.3880249,0.4034226,0.43300042,0.47263584,0.5073086,0.52252287,0.51168084,0.48182884,0.44588485,0.4152329,0.39440373,0.38277802,0.3774927,0.3761306,0.37666294,0.37780246,0.37749663,0.37369648,0.36521244,0.35437956,0.34744835,0.3504003,0.36399952,0.3807942,0.39056432,0.38683847,0.37115887,0.35019663,0.33055478,0.31618056,0.3079507,0.30559114,0.30726954,0.31067157,0.31299874,0.31220385,0.3070273,0.29745424,0.28643623,0.27938607,0.28202662,0.2944906,0.3111937,0.32417488,0.32973203,0.3289664,0.3253645,0.32150456,0.31902036,0.3187597,0.32057726,0.3228736,0.32389915,0.32305703,0.3211262,0.31892446,0.31701204,0.3160486,0.3172439,0.3209674,0.3258555,0.32914516,0.32857755,0.3234382,0.31447744,0.3032496,0.29188836,0.2826277,0.2767575,0.2735348,0.2707624,0.2669008,0.26257113,0.26038626,0.26287404,0.271517,0.28387627,0.29360977,0.2906752,0.26925108,0.2310416,0.18623424,0.14550735,0.11562336,0.097575076,0.08806402,0.08190412,0.07358145,0.061574757,0.04840924,0.039842363,0.041350275,0.05693161,0.0890578,0.13365509,0.17920013,0.20689948,0.2051972,0.17524143,0.13224314,0.09148764,0.061999742,0.044412557,0.035999063,0.032992095,0.03213954,0.032813326,0.038255353,0.05227493,0.07391264,0.09480026,0.10565569,0.10248417,0.089318715,0.072562486,0.05787233,0.049172465,0.049330194,0.057990864,0.070619754,0.081971854,0.09056103,0.09801966,0.10442597,0.10546013,0.097092025,0.07976965,0.059302226,0.0441488,0.044016887,0.069713496,0.1216015,0.18394355,0.22468364,0.2238131,0.18680365,0.14335571,0.11846302,0.11900105,0.13906433,0.17113976,0.20923388,0.23999603,0.24888009,0.22829735,0.18674876,0.14176597,0.11264238,0.11673405,0.16512795,0.25516966,0.36242118,0.45127913,0.49536467,0.4945773,0.4694318,0.44300103,0.42649284,0.42002153,0.4198573,0.4240615,0.43056622,0.43688604,0.4404155,0.44142458,0.44247344,0.4459997,0.45157596,0.4519199,0.43487868,0.39039811,0.3248938,0.2643219,0.24038069,0.26648235,0.3255861,0.38303933,0.4082477,0.39095077,0.33920363,0.2737635,0.2200604,0.20103286,0.22712465,0.29113042,0.3746539,0.45786247,0.526567,0.56955326,0.57954645,0.5572118,0.51487654,0.47262254,0.4478203,0.44965506,0.4755763,0.51280063,0.5403299,0.53973013,0.5081274,0.46254852,0.42753246,0.41735053,0.4275656,0.4426503,0.4444318,0.42031178,0.36627635,0.29511836,0.23418337,0.21323054,0.24535032,0.3191835,0.40982154,0.49079922,0.5457557,0.56481963,0.5510361,0.5154353,0.47782075,0.45299008,0.4493277,0.4664725,0.49855343,0.53289336,0.55252653,0.5461302,0.51597965,0.47782966,0.44791153,0.4336923,0.43196046,0.43796846,0.44911298,0.4654908,0.48358598,0.49779272,0.50313574,0.50052315,0.495332,0.49234664,0.490021,0.47767785,0.44224536,0.37987772,0.30650768,0.25348866,0.24810882,0.29450557,0.3683746,0.43460736,0.46576914,0.45384422,0.40605733,0.34088907,0.28436914,0.26242018,0.2888051,0.35498166,0.43761382,0.5108778,0.5575671,0.56694865,0.53609663,0.4736834,0.4037294,0.35646036,0.35148832,0.38798657,0.44763732,0.50731105,0.5485525,0.5625565,0.5522245,0.52865595,0.5063447,0.4928142,0.48830044,0.48635006,0.4813675,0.4696575,0.45113397,0.42797863,0.40518382,0.3897411,0.38783452,0.39994848,0.4188424,0.43476334,0.44260025,0.44479606,0.4452653,0.4458295,0.4453005,0.44510588,0.4490883,0.464573,0.49448767,0.53434414,0.56663275,0.57354826,0.54743797,0.5004739,0.45284596,0.42065418,0.40743196,0.40885654,0.41811273,0.42953733,0.43831515,0.44213793,0.44125962,0.43928114,0.43997788,0.44523624,0.45008957,0.4428436,0.41003922,0.3508389,0.28415862,0.24288578,0.24996753,0.30208573,0.3686938,0.41398463,0.4152694,0.37296662,0.30467,0.23777795,0.20012937,0.20886154,0.2629898,0.3428831,0.42538357,0.49249515,0.5370359,0.55380684,0.54344755,0.51237935,0.47715816,0.4540044,0.45300362,0.47447237,0.5103994,0.54739743,0.5682904,0.5632873,0.5349476,0.49964568,0.47397247,0.46500084,0.46690068,0.46570417,0.44682145,0.40111932,0.3335334,0.26446667,0.22281258,0.2287498,0.28272617,0.36677825,0.45660233,0.53122175,0.5757038,0.5840885,0.56107163,0.52411973,0.49105397,0.47387138,0.47300723,0.48693374,0.50975275,0.5316782,0.53808564,0.52195793,0.49074325,0.46137035,0.44643474,0.44516894,0.4488152,0.4502317,0.4504267,0.45506203,0.46727428,0.48437285,0.5002198,0.5113978,0.51784116,0.5202639,0.5143187,0.49244905,0.44913784,0.39140832,0.33791423,0.31159392,0.32301155,0.3653704,0.41722405,0.4559133,0.4651539,0.44030643,0.38869348,0.33038083,0.2914606,0.2919151,0.3336228,0.4007964,0.47077838,0.52411157,0.54879594,0.53893656,0.49993813,0.4483125,0.40896502,0.39985934,0.42452225,0.4719086,0.52409285,0.5645199,0.57919693,0.5650429,0.528609,0.48780206,0.45780873,0.44645658,0.45077685,0.46197656,0.47043064,0.4701741,0.46627402,0.47223714,0.4984068,0.53746575,0.56429785,0.55771184,0.5168712,0.46413293,0.4232695,0.4067895,0.41152093,0.4291098,0.45142877,0.47460255,0.49793825,0.52116203,0.53936595,0.54166645,0.5170893,0.46469995,0.39700642,0.334157,0.29126668,0.27209008,0.26952943,0.2734106,0.2761735,0.27582082,0.27418825,0.27415368,0.2767056,0.2806885,0.2837322,0.28444716,0.2812951,0.27217603,0.25341532,0.22423251,0.18874247,0.15670435,0.13809417,0.13804801,0.15322752,0.17263459,0.18341883,0.17899756,0.16412959,0.15241615,0.15603842,0.17783137,0.20896797,0.2368173,0.25256845,0.25587213,0.25130105,0.24316959,0.23178105,0.21513863,0.19229282,0.16629404,0.14250945,0.1255169,0.116109736,0.11202312,0.11038529,0.10994927,0.11210447,0.11943787,0.13356183,0.15316592,0.17515703,0.19785064,0.22083014,0.24318592,0.2603518,0.2674073,0.26158562,0.24470241,0.2213058,0.19687986,0.17618717,0.16033195,0.14700241,0.13107942,0.11038221,0.08686552,0.06806996,0.062031608,0.07566574,0.10958869,0.15865003,0.21032375,0.25144228,0.27304316,0.27604237,0.26756918,0.25555474,0.24410374,0.23457283,0.22814548,0.22667366,0.23106623,0.24007851,0.25002584,0.25622687,0.2550023,0.24683149,0.2375536,0.23438615,0.24023186,0.2500094,0.256033,0.25291243,0.24129827,0.22510271,0.21117611,0.2075982,0.22044165,0.2483358,0.2810124,0.30550557,0.31364855,0.30583444,0.28773713,0.2659451,0.24467303,0.22525114,0.20690699,0.1884249,0.16959162,0.15102893,0.13333493,0.116920315,0.10413879,0.100147486,0.11078203,0.13636799,0.16888863,0.19507325,0.20623158,0.20486216,0.20250148,0.20949821,0.22607814,0.24296232,0.24892648,0.23913997,0.21756472,0.19416757,0.17943598,0.17989941,0.19677325,0.2264262,0.26130447,0.2913874,0.30875304,0.31189072,0.30596396,0.2965858,0.2848657,0.26997647,0.256885,0.26058114,0.29330444,0.3499854,0.40144885,0.41745463,0.38784015,0.33198032,0.2773788,0.24197102,0.22623773,0.22319438,0.22566502,0.22955386,0.23139381,0.22766368,0.21513355,0.19378333,0.16771305,0.1446175,0.13002892,0.12454775,0.12261387,0.119317956,0.112648726,0.10523645,0.09918758,0.09555168,0.09342823,0.09214302,0.09099308,0.089571595,0.087551795,0.085048795,0.08249229,0.08053961,0.07964909,0.079880886,0.08066223,0.0811642,0.080814,0.07967093,0.078187585,0.07665149,0.075022854,0.0730981,0.07093256,0.068737686,0.06682428,0.065335386,0.06430322,0.06352257,0.06267575,0.06155775,0.06086078,0.062146883,0.067371555,0.07580811,0.08407023,0.087697506,0.08857552,0.096444406,0.12493398,0.17967421,0.2512472,0.31877807,0.36223355,0.37529942,0.36678112,0.3530664,0.34575602,0.34650683,0.34933746,0.34802344,0.34093276,0.33165526,0.32506576,0.32306537,0.32235083,0.3177502,0.30722287,0.2944522,0.28559133,0.28450528,0.29031006,0.29831174,0.30149463,0.2932815,0.27100673,0.24026369,0.21265167,0.19931,0.20188554,0.2128575,0.22085404,0.21955137,0.20925097,0.19530205,0.18291615,0.1751232,0.17147674,0.17025442,0.17006618,0.17292912,0.18215525,0.19992071,0.22207618,0.24124257,0.25083157,0.25084713,0.24559575,0.24032514,0.23743747,0.23602283,0.23252384,0.22310908,0.20658152,0.18609564,0.16716038,0.1561413,0.15780832,0.1751162,0.20538872,0.24094987,0.2713957,0.2901812,0.29678306,0.29518506,0.28957298,0.28117085,0.2696466,0.25565353,0.24419558,0.24119644,0.24976544,0.26551792,0.27980065,0.2840327,0.27509025,0.254858,0.22737783,0.19509405,0.15888108,0.12028151,0.08365088,0.05444613,0.039010555,0.045306426,0.086424075,0.17001927,0.28688964,0.40189004,0.47550058,0.48725292,0.45120504,0.3991029,0.35869515,0.34051833,0.34140518,0.35355735,0.3690022,0.3817966,0.38815704,0.38739362,0.38160953,0.37429288,0.3697643,0.36972317,0.37140536,0.36728144,0.35285962,0.3324757,0.31766215,0.3167075,0.3275399,0.34064445,0.34742162,0.34495935,0.3341999,0.31710276,0.29654285,0.2796757,0.27565768,0.29220283,0.32773915,0.3758305,0.42525557,0.46626416,0.48678175,0.4804465,0.44959596,0.40783298,0.37210152,0.3550341,0.36421707,0.39780834,0.44509444,0.48324242,0.4932538,0.46965966,0.42747474,0.38735557,0.36410975,0.3594037,0.36537957,0.3688251,0.3570563,0.32489824,0.2795765,0.2369683,0.21265478,0.2143007,0.24326698,0.29624176,0.36415687,0.4273837,0.46294537,0.4585952,0.4250199,0.38635328,0.36303982,0.3580999,0.36302415,0.36759374,0.3677642,0.36409226,0.3592181,0.35562935,0.35473618,0.3563302,0.35872266,0.36039463,0.3613017,0.36271724,0.3656225,0.36897507,0.37021062,0.36689505,0.35976818,0.35276905,0.35122225,0.35500744,0.35628715,0.3415576,0.30430934,0.25217742,0.20566307,0.18309607,0.18876284,0.2111097,0.23250878,0.2391997,0.22649832,0.20010199,0.17625296,0.17592935,0.21208912,0.2792057,0.35669383,0.42440522,0.4715476,0.4942728,0.4887633,0.45579457,0.40719366,0.36418688,0.34512958,0.3556662,0.39149752,0.4410731,0.489925,0.5196107,0.51988244,0.49444422,0.46098462,0.43623206,0.426417,0.42753235,0.4302448,0.4263604,0.41045523,0.38619897,0.36323473,0.3522334,0.35467014,0.36459884,0.37443364,0.38164333,0.38622248,0.3868635,0.37975097,0.36363697,0.34254336,0.32531175,0.32075545,0.33523968,0.36944318,0.41541347,0.45575893,0.4708525,0.45246896,0.4097999,0.36397,0.33179566,0.31844214,0.31797075,0.3227606,0.3276583,0.33127287,0.33374143,0.33518884,0.3359207,0.33702925,0.34169957,0.35284606,0.3678471,0.37723693,0.36936495,0.34306598,0.30855063,0.28196955,0.271677,0.27802423,0.29652894,0.32297555,0.35195825,0.37619022,0.39052728,0.39464483,0.39312074,0.39084283,0.39250413,0.40314445,0.42565313,0.4544101,0.47263637,0.46213567,0.41890016,0.35943246,0.31112888,0.294372,0.31384215,0.3604528,0.41659918,0.46058437,0.47203448,0.44519973,0.3935833,0.34363222,0.3152016,0.31249404,0.3268274,0.34573308,0.35841405,0.35635176,0.33873257,0.31238818,0.2891698,0.2774254,0.2821227,0.30884722,0.35977277,0.42572963,0.48057556,0.49907944,0.47371408,0.4222865,0.3713156,0.33924532,0.32811078,0.32876614,0.33012933,0.32613537,0.3174237,0.30842948,0.30277494,0.30126956,0.3023188,0.30430272,0.3061324,0.30740318,0.3074802,0.30606177,0.30331826,0.30025363,0.29844368,0.3004099,0.30899334,0.32468286,0.34109294,0.34680367,0.3324826,0.3018699,0.2688539,0.24852164,0.2445846,0.2520811,0.2638321,0.27727565,0.29178318,0.30522677,0.3135804,0.3146203,0.31043014,0.30722508,0.31278875,0.33449364,0.37221885,0.41415882,0.43731272,0.42422774,0.37715292,0.31939963,0.2792996,0.27285743,0.30198142,0.3558639,0.41763714,0.46297443,0.47225928,0.43955043,0.37881258,0.3136134,0.26454368,0.24249665,0.2474256,0.27018562,0.29524463,0.31085044,0.31914675,0.33501008,0.36886275,0.41144106,0.43734813,0.4284626,0.38864055,0.3388315,0.29680791,0.26748776,0.24654645,0.22939731,0.21769959,0.21974725,0.24964328,0.31301948,0.39825726,0.47335255,0.5099767,0.49950945,0.45920753,0.41323677,0.37918732,0.36270592,0.3617055,0.37089825,0.38273707,0.39105514,0.3921132,0.38666403,0.37801775,0.37111345,0.3696177,0.37190118,0.3682202,0.3454397,0.29858586,0.23942672,0.18941915,0.1635199,0.15964301,0.16701351,0.18106268,0.20746231,0.2518438,0.30844948,0.36359715,0.40658966,0.43687996,0.46028563,0.48153624,0.50175303,0.51737523,0.522462,0.50997734,0.47856584,0.43539742,0.3938596,0.3663442,0.35935387,0.3754932,0.41121984,0.4558474,0.4891111,0.494486,0.46915746,0.42811754,0.39057013,0.36832523,0.36186883,0.36413586,0.36542657,0.35575303,0.33032587,0.2919101,0.24966635,0.21385849,0.19410779,0.20151423,0.24428803,0.31831506,0.39966652,0.4568015,0.47109273,0.4495617,0.4155884,0.3900274,0.38016114,0.38141564,0.38610494,0.38832226,0.38562056,0.3777546,0.36690116,0.35705093,0.35263094,0.3559003,0.36541173,0.37727508,0.38719627,0.39242956,0.3917866,0.3851705,0.37340474,0.35887262,0.34624735,0.34059128,0.341738,0.3415195,0.32750288,0.2952012,0.2527958,0.21598347,0.19439022,0.18773252,0.19094026,0.20306897,0.226077,0.25995418,0.29754665,0.33060953,0.35471162,0.3735372,0.39340308,0.41945645,0.4513053,0.48157215,0.4964281,0.48182014,0.43567204,0.37405038,0.32394204,0.3059585,0.3228496,0.36440626,0.41533172,0.4618212,0.48913395,0.489329,0.46578118,0.4342642,0.41063282,0.40148926,0.40408114,0.40987667,0.4114826,0.40393385,0.3908666,0.38070408,0.38234296,0.39699924,0.41914353,0.4410561,0.4562942,0.46134028,0.45389378,0.4351492,0.4085349,0.38067445,0.3577797,0.3465723,0.3523207,0.3781196,0.41840005,0.45874703,0.48120055,0.47803274,0.456037,0.4316269,0.4175253,0.4168897,0.42488018,0.43449426,0.4411113,0.4429351,0.4411671,0.4377968,0.4347082,0.4331316,0.43345305,0.4359469,0.43750274,0.43421128,0.42216897,0.4049426,0.38922906,0.38186514,0.3821496,0.3862557,0.39065245,0.3957541,0.40237918,0.4091188,0.41246736,0.40984842,0.40184748,0.39264354,0.3884455,0.39684024,0.42074203,0.45596072,0.48771366,0.501792,0.49044517,0.4592711,0.4197589,0.38644657,0.37222266,0.38427147,0.41657284,0.44729415,0.45213088,0.42143992,0.36897168,0.31875226,0.28916207,0.2842172,0.298334,0.31948164,0.33348623,0.32822153,0.30367446,0.2718227,0.24945317,0.24676971,0.2666644,0.30902037,0.3693225,0.43373096,0.47697306,0.47806597,0.43493012,0.36874798,0.30958894,0.2801284,0.2899101,0.33244812,0.3902599,0.43703827,0.45505634,0.4423324,0.4144704,0.38825476,0.37220696,0.3638916,0.3568698,0.3459375,0.32982466,0.31112957,0.2952365,0.28741983,0.29026532,0.30187938,0.31752387,0.3315327,0.3391738,0.33634198,0.3207122,0.2932512,0.25902048,0.22462328,0.19465834,0.17250504,0.1617331,0.16797592,0.19269146,0.2312179,0.27139118,0.30132523,0.3132831,0.30808216,0.2928895,0.27766702,0.26742658,0.26055178,0.25129995,0.23898892,0.22654752,0.21781874,0.21143503,0.20734017,0.20910144,0.22066458,0.2385637,0.25180483,0.25452027,0.25093725,0.25068453,0.2550498,0.25768194,0.25672364,0.26285297,0.28895164,0.33232483,0.37051344,0.38118616,0.35762715,0.3146527,0.27053338,0.2423179,0.23756857,0.2584119,0.29508784,0.3320551,0.35499012,0.3586559,0.34487104,0.31868067,0.2903798,0.27743888,0.29614642,0.34697807,0.40799904,0.45073625,0.4592608,0.44101098,0.41456798,0.395954,0.3892851,0.39129028,0.39798418,0.40859747,0.42428216,0.4447403,0.46705222,0.48747,0.5018017,0.5063881,0.49512088,0.46435562,0.41554594,0.36128142,0.31832597,0.3010751,0.31156144,0.34125045,0.37340724,0.39281487,0.3895729,0.36531153,0.3291664,0.2956955,0.27651346,0.27907476,0.30330667,0.34459504,0.39398643,0.44098756,0.47456333,0.48733118,0.47970685,0.46110034,0.44525388,0.4427559,0.45634425,0.4819387,0.509897,0.5286558,0.5257532,0.49795356,0.4535055,0.41308352,0.39339605,0.39881042,0.41669175,0.428247,0.41795382,0.38075352,0.3241935,0.2660434,0.2291646,0.23093756,0.2745752,0.34682724,0.4243166,0.48465714,0.5138202,0.510801,0.4858741,0.45641303,0.43782774,0.43759176,0.45382962,0.47951686,0.5052748,0.52163243,0.5199702,0.49982834,0.47023976,0.4489052,0.446619,0.46176445,0.4786544,0.48372456,0.47345516,0.45764375,0.44872248,0.4539216,0.47131446,0.49382368,0.5127632,0.5193568,0.5034508,0.45692062,0.38011384,0.28940618,0.21392246,0.18332471,0.21005754,0.28135574,0.36412987,0.42115894,0.42725727,0.37938237,0.2976888,0.21772434,0.17491944,0.18802454,0.2512518,0.34067285,0.4282938,0.49297526,0.52340347,0.517465,0.48299435,0.43750325,0.40276417,0.39467075,0.41479757,0.4509487,0.48399806,0.4989295,0.48971108,0.46280184,0.43150115,0.41108024,0.40790698,0.41841257,0.4309758,0.43639925,0.4320496,0.42262957,0.41492268,0.41336778,0.41802153,0.42531657,0.43135127,0.43377987,0.43290517,0.43077073,0.4296786,0.4308217,0.4334021,0.43628213,0.4397988,0.4464722,0.45967352,0.47924042,0.49962083,0.5088044,0.4961191,0.45906806,0.40851977,0.3619657,0.33296978,0.32397512,0.32755056,0.3350409,0.34169474,0.34877598,0.35914418,0.37468126,0.39466763,0.41642067,0.43522093,0.44365582,0.4333217,0.40023807,0.35014233,0.2990127,0.26482144,0.25809672,0.27636755,0.30731133,0.33558473,0.34859928,0.34031734,0.31297708,0.2782036,0.2528171,0.2510035,0.27645886,0.3220804,0.37616265,0.42760944,0.46689776,0.4847826,0.47796082,0.4533241,0.42800453,0.4174746,0.42815575,0.4549646,0.48769227,0.51397055,0.52302295,0.508094,0.4728448,0.43067035,0.40068886,0.39401972,0.4082457,0.4254873,0.42485285,0.39243746,0.33122274,0.25946352,0.2044664,0.18963307,0.22412224,0.29773393,0.38723433,0.46661237,0.51707244,0.53033495,0.5100611,0.4704461,0.43076518,0.4072806,0.40628418,0.42623377,0.45858824,0.49127564,0.50695044,0.49455306,0.4556785,0.41001025,0.37879634,0.37254444,0.38279903,0.39405927,0.39585844,0.39054382,0.38815102,0.39714468,0.41841602,0.4465356,0.47411582,0.49415,0.49759433,0.4744661,0.41798067,0.33508524,0.24788404,0.18797417,0.17846708,0.22159286,0.29455617,0.36181414,0.39138898,0.37034598,0.30898702,0.23701705,0.1891557,0.19020098,0.24256544,0.3284361,0.4201149,0.4930726,0.5310742,0.5255903,0.47881722,0.40728483,0.34267494,0.31615528,0.34084877,0.4032013,0.47315845,0.522497,0.53599197,0.51706845,0.48144004,0.45128837,0.44042483,0.45020887,0.46889547,0.48260033,0.4825232,0.47011507,0.45597914,0.45282808,0.4667537,0.49137425,0.51287514,0.51983285,0.51076216,0.4936627,0.47897163,0.4737853,0.47802445,0.48779652,0.4985435,0.5093379,0.52112675,0.534141,0.54499,0.54761106,0.53697306,0.5126948,0.48028007,0.44870934,0.42541876,0.41303822,0.4086833,0.40816984,0.40930653,0.41279468,0.41972706,0.42859888,0.4361099,0.4389405,0.43612966,0.428828,0.41821623,0.4064461,0.39551806,0.39015016,0.39304212,0.40537533,0.4233437,0.4422042,0.45567927,0.45899105,0.44919768,0.42904067,0.40621015,0.3902947,0.38684285,0.3960489,0.4148927,0.44008216,0.4673834,0.4907482,0.5036754,0.50378686,0.49455193,0.4831941,0.47591054,0.47576836,0.48351195,0.49879923,0.5177825,0.53124386,0.52636415,0.4984698,0.45698836,0.4237099,0.4146036,0.42994034,0.45358205,0.46693203,0.46022138,0.4365584,0.4094515,0.3932419,0.39705095,0.4190946,0.45111334,0.48231682,0.5055066,0.518157,0.52290577,0.524551,0.52700466,0.53113365,0.53613573,0.5417085,0.5484001,0.55518144,0.5581026,0.5517931,0.53375095,0.506545,0.47744903,0.4544811,0.44272614,0.44152305,0.44593588,0.4504646,0.45326015,0.4561918,0.46206442,0.4712603,0.4815353,0.4897914,0.4935232,0.49018455,0.47599518,0.4482509,0.4095645,0.37115082,0.3476096,0.34853208,0.3711908,0.40326807,0.43022835,0.4436523,0.44346341,0.43584666,0.42793134,0.4241561,0.42458853,0.42775023,0.43290737,0.44292465,0.46009827,0.48352098,0.50527185,0.51714784,0.5153291,0.50462437,0.49287745,0.4864111,0.4870801,0.4933972,0.5009263,0.503526,0.4951243,0.4755858,0.45096686,0.43291906,0.42918622,0.44021964,0.45583698,0.462304,0.44990325,0.42095387,0.38925433,0.3716859,0.3774054,0.4028697,0.43580112,0.46389714,0.48082438,0.48762536,0.48930013,0.49117407,0.49526986,0.50008565,0.50296277,0.50370604,0.5055801,0.5105899,0.5154991,0.5111627,0.4911573,0.45746624,0.42142916,0.3942852,0.38072774,0.37691268,0.37636104,0.37413728,0.3693036,0.3631436,0.35794565,0.35489476,0.3539091,0.35391033,0.35468557,0.35751665,0.36399913,0.37395182,0.38433042,0.3911529,0.39145017,0.38486993,0.37289226,0.35829577,0.3441522,0.33284673,0.32530037,0.32062232,0.31765142,0.3154312,0.31393644,0.31265274,0.311167,0.30953932,0.30999523,0.31535372,0.3269544,0.34238732,0.35767898,0.3698994,0.3788508,0.38488817,0.38753605,0.38589475,0.38068342,0.3745192,0.370257,0.3692526,0.37097904,0.37401262,0.37681758,0.37844336,0.37831402,0.37628505,0.37226403,0.36665747,0.36025587,0.3538742,0.34747717,0.34035394,0.33229646,0.32471308,0.31975088,0.31809738,0.3172098,0.31294224,0.30275932,0.28828052,0.27381793,0.26263142,0.25453234,0.24573617,0.23268203,0.21373588,0.19168526,0.17064388,0.15451248,0.14410798,0.13864623,0.13749506,0.13927732,0.14114226,0.13686274,0.12286503,0.10068264,0.07956821,0.07070413,0.08236686,0.11579973,0.16279227,0.20852615,0.23532514,0.23326428,0.20368026,0.15920295,0.11464405,0.080970906,0.06256805,0.0579973,0.061648577,0.065967776,0.06725276,0.068956226,0.07847274,0.09808105,0.12066614,0.13631767,0.14189865,0.14177309,0.14043981,0.13720633,0.1313528,0.12607877,0.12629889,0.1314898,0.13623442,0.13801363,0.13871144,0.14114647,0.1408131,0.13234186,0.11380107,0.09198955,0.07610757,0.07541623,0.0971962,0.14062904,0.192984,0.23008995,0.23712261,0.21941034,0.19873446,0.1904062,0.19259024,0.19695263,0.19990988,0.20448874,0.20839125,0.20714895,0.20156951,0.20104249,0.21285163,0.23432334,0.2607213,0.29472533,0.34349942,0.4038949,0.45649782,0.48090485,0.47188818,0.4453148,0.4215434,0.41236177,0.41520405,0.42181277,0.42686304,0.43063918,0.43704364,0.44800368,0.46322587,0.4794638,0.49340677,0.5002167,0.49441954,0.4711719,0.4317805,0.3867146,0.3520459,0.34074542,0.35445628,0.38392314,0.41353568,0.4280243,0.41476342,0.36971548,0.30148226,0.23530497,0.20099075,0.21851575,0.2830728,0.37130725,0.45326316,0.50794554,0.52689195,0.51447433,0.4849917,0.45724782,0.44741413,0.4609419,0.4926132,0.5299322,0.5593558,0.5704668,0.558013,0.52601177,0.4855925,0.45355734,0.44076905,0.44779444,0.46066007,0.45978236,0.42899823,0.36675575,0.2893838,0.22618423,0.2056387,0.24029374,0.3194698,0.4163657,0.50097907,0.5533231,0.56515807,0.5418938,0.4982578,0.45613512,0.43371928,0.43906912,0.4671944,0.50496155,0.53646564,0.5481889,0.5341249,0.5001714,0.46146676,0.43463328,0.4258255,0.4293301,0.43213007,0.4267507,0.4152896,0.40788555,0.41287735,0.43235633,0.46185672,0.49479303,0.5236346,0.5395263,0.5335595,0.50208116,0.45235035,0.4015788,0.3692557,0.3670967,0.39387667,0.43685725,0.47753048,0.4980333,0.48585805,0.43885443,0.36920083,0.303815,0.27296606,0.29393768,0.3590474,0.44286358,0.516472,0.5609643,0.5676474,0.5389223,0.48724413,0.43526593,0.4056995,0.4103422,0.443774,0.4880062,0.5229194,0.53425807,0.519502,0.4874803,0.4557456,0.4406209,0.44870508,0.4725004,0.49622068,0.50586677,0.49759576,0.4787837,0.46204546,0.4567223,0.46360162,0.47540084,0.482976,0.48105642,0.47179952,0.46153423,0.45658278,0.45820162,0.4637535,0.46912822,0.47369373,0.47967747,0.49130964,0.50841564,0.52566105,0.5311639,0.5166448,0.482982,0.44418845,0.416451,0.40792516,0.4137001,0.42230138,0.42492512,0.4204457,0.41352686,0.41083184,0.41553393,0.42757276,0.44249704,0.45559287,0.46092513,0.45399234,0.4325846,0.40067708,0.3685198,0.34812236,0.34705257,0.36310205,0.38604656,0.4001976,0.39140916,0.35226366,0.2894824,0.22446279,0.18562335,0.1928279,0.24636944,0.32722357,0.4108177,0.47697735,0.51757723,0.5302038,0.5208526,0.49964383,0.4844406,0.48975125,0.5210488,0.5677936,0.610272,0.6290002,0.6146025,0.57136774,0.51498795,0.4661682,0.44136646,0.44454098,0.46431434,0.4784223,0.4647723,0.41334203,0.33485365,0.25897786,0.22050689,0.23974164,0.31025267,0.403941,0.4886268,0.5429213,0.5620781,0.5509514,0.52206105,0.48876604,0.46661043,0.46359393,0.480522,0.50849694,0.53536797,0.54834133,0.5376225,0.5034414,0.45743874,0.4212083,0.4092125,0.42191306,0.44358507,0.45911786,0.4628724,0.46301234,0.47005388,0.48917055,0.5160507,0.5432369,0.5636304,0.57148784,0.5600843,0.52497077,0.46960315,0.40854502,0.3620026,0.34591734,0.36394978,0.40642437,0.4547793,0.48787847,0.48871315,0.450524,0.38300416,0.3120923,0.27071127,0.28053537,0.33896133,0.4210967,0.49640903,0.54366857,0.55627507,0.5369528,0.4966838,0.45106682,0.41921768,0.4127402,0.43276247,0.4688203,0.5063793,0.53109926,0.53309137,0.5116623,0.47736844,0.4484382,0.43927717,0.451197,0.47261575,0.48744926,0.48718643,0.47521582,0.46505,0.46865323,0.48625746,0.5043026,0.50647897,0.48877802,0.4619424,0.4415709,0.43460166,0.43764266,0.44389343,0.44964075,0.45693374,0.47002098,0.4931179,0.5233932,0.5502576,0.557961,0.5368177,0.49114767,0.43829072,0.398548,0.3820114,0.3848025,0.39325932,0.3956232,0.38802907,0.3758748,0.36635545,0.364187,0.36775312,0.37353456,0.3776858,0.37831974,0.37121296,0.34979048,0.30903125,0.25522962,0.20878826,0.19429947,0.22422695,0.28747246,0.35663915,0.4008813,0.40324524,0.3637887,0.3015542,0.2447611,0.2218198,0.24634115,0.31211177,0.3964223,0.47390398,0.524906,0.5409887,0.52276826,0.4840777,0.4456556,0.42934343,0.44242343,0.47780934,0.51781696,0.5457931,0.54994583,0.524963,0.4759145,0.41860366,0.3776889,0.37041864,0.39611092,0.43180713,0.4473355,0.42228034,0.35898575,0.28137973,0.22403087,0.21440847,0.25943175,0.34142077,0.43131372,0.50241095,0.54228884,0.5487002,0.5291412,0.49632606,0.46838284,0.4599893,0.47608843,0.50980693,0.54634285,0.5695031,0.56554765,0.5314546,0.4780045,0.42738175,0.3982514,0.39450037,0.4048313,0.41507092,0.4198639,0.4239122,0.43459046,0.45301786,0.4739416,0.4906498,0.50110465,0.50517446,0.49953353,0.4743919,0.4212755,0.3432679,0.26111385,0.20559895,0.20153637,0.252529,0.336754,0.4170097,0.4574654,0.44039443,0.37385896,0.289435,0.22863321,0.22262664,0.2771852,0.3703098,0.46802065,0.5402247,0.5709354,0.5554293,0.5002621,0.42470935,0.35868803,0.33014333,0.34810743,0.39994302,0.4599742,0.5047106,0.5187981,0.4991654,0.4561663,0.41226235,0.39097476,0.40261665,0.43718758,0.47159705,0.4859151,0.47612572,0.4546968,0.438561,0.43676808,0.44660473,0.46043944,0.47245422,0.48039615,0.4827068,0.47884226,0.46974492,0.45967865,0.4521756,0.4509957,0.457499,0.47341868,0.49671698,0.52109224,0.5346355,0.5246382,0.4872061,0.4325439,0.38284424,0.3557445,0.35339,0.36231712,0.3678354,0.36538377,0.3603704,0.36055472,0.3689941,0.38404885,0.4023987,0.42036405,0.43462646,0.43853685,0.42449805,0.38525304,0.32409367,0.25698072,0.21034373,0.20547138,0.24544255,0.3112904,0.37237468,0.40278482,0.39191857,0.3471276,0.2890779,0.24430196,0.23456872,0.26719388,0.33173072,0.40776995,0.47419798,0.51759607,0.5307975,0.5169397,0.4873052,0.46109822,0.45264533,0.46527752,0.48953602,0.5111105,0.5173613,0.500452,0.46144092,0.41165352,0.37129363,0.3581533,0.37651408,0.41290963,0.44272003,0.4439588,0.4076672,0.34441927,0.28018755,0.24607903,0.26196,0.32528073,0.4124097,0.49239954,0.54195976,0.55436057,0.53598607,0.50431913,0.47711644,0.47019425,0.48654628,0.5203313,0.5566251,0.57978487,0.57718974,0.54443496,0.4905326,0.43356824,0.3949683,0.38593856,0.40612912,0.44399187,0.48402214,0.5114607,0.5165784,0.50145537,0.478049,0.46499217,0.47229728,0.4979535,0.5270276,0.5442559,0.5404116,0.5165915,0.48111275,0.44639513,0.4244777,0.42368397,0.44481644,0.48088804,0.5184423,0.54264075,0.5441647,0.523472,0.49266374,0.4666632,0.45764756,0.46729532,0.49043775,0.51672363,0.5347333,0.53537613,0.51534075,0.48308668,0.453799,0.4414741,0.44832802,0.4652324,0.48243,0.49262676,0.4954716,0.48916826,0.47851494,0.46995637,0.47170046,0.48256895,0.49410215,0.49840263,0.493207,0.48164955,0.46462384,0.44469222,0.4281032,0.42366347,0.43412852,0.45168564,0.46801126,0.47872153,0.48492244,0.4826287,0.46884203,0.44814253,0.4352866,0.4412258,0.46192017,0.4843564,0.49933204,0.50741744,0.510101,0.50354666,0.4816111,0.44257352,0.39137712,0.33448544,0.27696356,0.22179528,0.17194821,0.13076322,0.10051173,0.081254296,0.07030081,0.06464172,0.06326375,0.068802975,0.08508263,0.11242509,0.14455271,0.17124516,0.18578857,0.1893122,0.18855096,0.18853182,0.18886785,0.18612789,0.17871356,0.16895759,0.15959243,0.15081091,0.13966472,0.12426152,0.10666096,0.09357151,0.093695514,0.11300368,0.15046442,0.19640897,0.23784871,0.2658393,0.2798661,0.28429613,0.28284273,0.27687111,0.26834476,0.26175067,0.26129892,0.26671323,0.27270445,0.27318946,0.26573423,0.25272194,0.23891376,0.22842126,0.22188242,0.21601193,0.20549439,0.18799078,0.168011,0.1550204,0.15692578,0.17256854,0.1939276,0.21172221,0.22254877,0.2260142,0.22191818,0.209807,0.19284622,0.17774053,0.16821289,0.16111916,0.14905258,0.12826271,0.10163566,0.07538778,0.054037347,0.038410358,0.02732194,0.019360254,0.013730117,0.009968133,0.0076443,0.006295493,0.00550238,0.0049849977,0.004625062,0.0052448125,0.009522798,0.022359228,0.047206014,0.081526235,0.11458399,0.13366127,0.1324058,0.11500966,0.09148917,0.07028957,0.054639507,0.043763515,0.035888594,0.029709147,0.024618387,0.020387597,0.016900687,0.014071655,0.011761338,0.009867876,0.008304442,0.0070348624,0.006065529,0.0055948873,0.0066716745,0.011896409,0.026178258,0.055124123,0.10278908,0.16754313,0.24114771,0.30891064,0.35418847,0.36395422,0.3359423,0.28253698,0.22681151,0.19187623,0.18938701,0.21668784,0.261975,0.31142128,0.35461977,0.38574576,0.404716,0.41307077,0.41196874,0.40061775,0.3817648,0.3623887,0.3513389,0.35020268,0.3520776,0.34473515,0.3211654,0.2834305,0.24180843,0.2073496,0.18674517,0.18103115,0.18724555,0.20069422,0.21583937,0.22767495,0.23287185,0.23129414,0.22623195,0.22293435,0.22459352,0.22890192,0.2276535,0.21224111,0.17966397,0.13692322,0.09805416,0.07878437,0.08701083,0.11872115,0.15832391,0.18941253,0.20323397,0.20184594,0.19127576,0.17601041,0.1585865,0.14263605,0.1331949,0.13277264,0.13900311,0.14583997,0.14807613,0.1440441,0.1370637,0.13298903,0.13797332,0.15348677,0.17656566,0.20022821,0.21760368,0.22222884,0.20973055,0.18085419,0.14487776,0.11922035,0.119171895,0.14859755,0.19517843,0.24064927,0.27099666,0.2837589,0.28336325,0.27576557,0.26485202,0.2527292,0.24020742,0.22540341,0.20572376,0.18138732,0.15966497,0.15036117,0.15847184,0.17825574,0.19984968,0.21594536,0.22644033,0.23145626,0.23070867,0.22379263,0.21463071,0.20623077,0.1965007,0.1788801,0.1497836,0.11325558,0.07761398,0.04947484,0.030434592,0.019385474,0.016017549,0.022587843,0.041022565,0.06783759,0.092749156,0.10487089,0.102747686,0.09542284,0.0943377,0.10270509,0.11712267,0.13460553,0.15524918,0.17673184,0.19033039,0.18886562,0.17379929,0.15546785,0.14296305,0.13988596,0.14724861,0.16374092,0.184112,0.19648777,0.19481821,0.18548547,0.1832775,0.19556975,0.21447992,0.23042786,0.23886263,0.24403131,0.24340606,0.23496144,0.22140843,0.21636178,0.22813554,0.25044838,0.26897287,0.2759064,0.274788,0.2681488,0.2539644,0.23157777,0.21038584,0.20151384,0.20724912,0.22022136,0.23552638,0.25347716,0.2750013,0.2940334,0.30592683,0.31187704,0.31816906,0.32575116,0.33100402,0.33445415,0.34170735,0.35520533,0.3642722,0.3577566,0.33803344,0.3217562,0.3217294,0.33416662,0.3516951,0.3727258,0.40428543,0.4413936,0.47079632,0.47835,0.46671617,0.4476795,0.43351305,0.42758217,0.42804375,0.43176568,0.43718114,0.44372186,0.4506874,0.4566457,0.45986578,0.45912337,0.45456102,0.44650653,0.4352838,0.42114925,0.40659904,0.39676416,0.39756295,0.4119905,0.4363686,0.46126822,0.47519186,0.47283924,0.45755598,0.4400724,0.42970613,0.4310838,0.44278193,0.46165594,0.48356104,0.50494933,0.52209073,0.53202623,0.53242326,0.52368784,0.5094164,0.49569932,0.4875809,0.4873656,0.49505267,0.50816655,0.52056384,0.52243257,0.50640905,0.47536406,0.44315314,0.4268682,0.4334085,0.45526743,0.47347054,0.471162,0.44353974,0.40323544,0.37258014,0.37048015,0.40055117,0.45055768,0.5013917,0.5386388,0.5583358,0.5653215,0.56691056,0.5671752,0.56624216,0.5632453,0.5602727,0.5608445,0.5671589,0.57609135,0.5814287,0.5755822,0.5552528,0.5222858,0.4856052,0.45532247,0.43839967,0.43384162,0.43623897,0.44065383,0.4460986,0.45425758,0.46574983,0.47932896,0.49214163,0.50153095,0.50444484,0.49651134,0.4734098,0.4349765,0.39057902,0.35671195,0.34809425,0.36701894,0.402239,0.4372309,0.46027422,0.4693999,0.46932685,0.46672407,0.46495306,0.46397355,0.46164784,0.45782185,0.45533642,0.4591327,0.47133124,0.4881927,0.5005554,0.5011175,0.4897593,0.47413138,0.46229848,0.45743212,0.45617032,0.4529355,0.444212,0.4324409,0.42479408,0.42813453,0.4422629,0.45992592,0.47269294,0.47685632,0.47224757,0.458746,0.4363413,0.41003993,0.39030075,0.3876959,0.40444994,0.4334251,0.46276808,0.4838299,0.49440885,0.49795008,0.49925128,0.5006926,0.5014133,0.49942067,0.495082,0.49069425,0.4871237,0.48002395,0.46198523,0.42860672,0.3832384,0.3352408,0.29424578,0.26500624,0.2469395,0.23597492,0.228262,0.22137488,0.21481855,0.20763963,0.19770937,0.18148045,0.15761296,0.1295149,0.106951654,0.100695886,0.116099894,0.14782922,0.18353961,0.21129423,0.2260844,0.22980452,0.22745205,0.22360033,0.22106898,0.22070777,0.22164641,0.22200803,0.22055954,0.21725261,0.21282257,0.20763092,0.2019756,0.1968032,0.19365849,0.19337837,0.19503863,0.19698744,0.19835848,0.19970895,0.20189965,0.20512663,0.20922202,0.21415387,0.22008033,0.2262248,0.23042794,0.22973894,0.22249515,0.20993268,0.19618385,0.18582799,0.1816131,0.18326385,0.18863751,0.19471222,0.19886382,0.19939582,0.1964513,0.19200581,0.18933624,0.19144277,0.19935566,0.21050896,0.21928541,0.2194155,0.20848267,0.1890982,0.16773212,0.14949454,0.13703674,0.13036877,0.12956722,0.13353764,0.139605,0.1435194,0.14213148,0.13478608,0.12294596,0.108587004,0.09351885,0.07927295,0.06726792,0.058204364,0.051984012,0.048105195,0.046597537,0.048251856,0.053185746,0.059628133,0.06379973,0.06284704,0.05682632,0.04889513,0.042342875,0.038572803,0.036859836,0.035861656,0.03474049,0.033341423,0.031899374,0.030653557,0.0296309,0.028503768,0.026699156,0.023733238,0.019550348,0.014659714,0.00987206,0.005924044,0.0031515926,0.0014940273,0.00064510945,0.00027374938,0.00012905215,7.2150884E-05,4.3068896E-05,2.4476672E-05,1.2726648E-05,6.3127823E-06,3.2030541E-06,1.740731E-06,9.898794E-07,5.586346E-07,2.9717853E-07,1.3457179E-07,4.4846E-08,8.965818E-09,0]