[0.021361846,0.021653054,0.02236081,0.023370123,0.024381356,0.024943216,0.024596872,0.023094544,0.020480929,0.017090099,0.013407848,0.010031938,0.007643338,0.007659923,0.01291807,0.027883569,0.05535103,0.09242749,0.12865661,0.15220056,0.15765531,0.14953507,0.13646722,0.1246502,0.116620004,0.11483873,0.12253807,0.14011164,0.16213481,0.18010587,0.18776512,0.18432921,0.17313683,0.15961505,0.14976163,0.14887685,0.15923557,0.17793679,0.19762789,0.21003015,0.210414,0.19955033,0.18197568,0.16237752,0.14280571,0.12302169,0.10256392,0.08250759,0.065068424,0.05197118,0.043372024,0.038156997,0.035009947,0.033054214,0.0318329,0.031057874,0.030844666,0.03271858,0.04056539,0.059731822,0.09325766,0.13794152,0.18425322,0.22177017,0.24514823,0.25520602,0.25450233,0.24273606,0.21815775,0.18226492,0.14303628,0.109984346,0.08784366,0.07369917,0.06264617,0.053287685,0.049500715,0.056061465,0.07452974,0.10089222,0.12715213,0.14492051,0.14973284,0.1427512,0.12906694,0.1138962,0.09992772,0.08688193,0.07347265,0.059240814,0.04551145,0.03423412,0.026654199,0.02256436,0.021032238,0.021267802,0.022899486,0.025370209,0.02809185,0.030993758,0.035619628,0.043040812,0.052478734,0.059933465,0.06222756,0.058832318,0.05353771,0.051501766,0.05823794,0.07641517,0.10427252,0.13414453,0.15687482,0.16655515,0.16399544,0.15380384,0.14087462,0.1276142,0.11459232,0.10185448,0.09017419,0.08083695,0.07441593,0.06961037,0.06399513,0.05592898,0.046130568,0.036906864,0.030377524,0.027058175,0.026066547,0.026069283,0.026112407,0.02582178,0.025226237,0.024490392,0.023756543,0.02304563,0.022294104,0.021426862,0.020455467,0.0194704,0.018581733,0.017858857,0.017327912,0.016982501,0.016799124,0.016737081,0.016750446,0.016801337,0.01685636,0.016886078,0.016834652,0.016642846,0.016272746,0.015764395,0.015213598,0.014717326,0.014307073,0.013948782,0.013588448,0.013210355,0.012854725,0.012593235,0.0124611305,0.012425226,0.012384246,0.012249648,0.012001435,0.011753214,0.011756307,0.012410805,0.014201599,0.017527198,0.022431178,0.028321497,0.03400204,0.03796484,0.039024513,0.037114754,0.034529302,0.03658642,0.049859766,0.07725099,0.11351714,0.14668106,0.16599667,0.16993415,0.16726936,0.17010488,0.18580101,0.21277042,0.2435553,0.2700331,0.28791952,0.29650584,0.29696026,0.29058984,0.2789551,0.26387835,0.24857973,0.23824008,0.23950596,0.2560766,0.2843906,0.3139744,0.3336092,0.33852696,0.33198032,0.32113144,0.3112246,0.301838,0.28847763,0.2663001,0.23553495,0.20143904,0.17189236,0.1527819,0.14783704,0.15763417,0.17979883,0.2072528,0.23238754,0.24939448,0.25644293,0.25206974,0.23604238,0.21061699,0.18253167,0.15937205,0.14671026,0.14754547,0.16279672,0.18986487,0.21967275,0.24006778,0.24182265,0.22483556,0.19633047,0.16594523,0.1404486,0.121713944,0.108141184,0.097154744,0.088947274,0.08676928,0.09607032,0.11921114,0.15279303,0.18649518,0.21012592,0.22079326,0.22665763,0.24020755,0.26705623,0.30033123,0.32457793,0.32750997,0.30688456,0.27061614,0.2294086,0.19119,0.15995948,0.13820939,0.12845458,0.1311004,0.14283639,0.15776695,0.1716407,0.1839271,0.19626136,0.20923066,0.22038929,0.22495465,0.21753027,0.19572341,0.16204609,0.12429553,0.09072748,0.067082934,0.055116847,0.05615306,0.070786335,0.097681284,0.13041784,0.16055195,0.18139362,0.19183423,0.19488037,0.19511275,0.1958322,0.1979421,0.19998145,0.19941789,0.19488192,0.18826564,0.18437116,0.18771242,0.19815747,0.21025997,0.21726649,0.21589108,0.20710784,0.19230378,0.17132054,0.14371163,0.11306399,0.08683124,0.073984556,0.07916376,0.10071065,0.12994105,0.15659374,0.17321686,0.17876689,0.17589627,0.16831207,0.15881051,0.14978166,0.14282322,0.13841704,0.13631774,0.13653773,0.13958926,0.14589761,0.15550007,0.16769534,0.1811211,0.19349456,0.20220973,0.20406514,0.19600378,0.1766569,0.1486891,0.118761666,0.09458935,0.08175176,0.082170896,0.09312389,0.10711459,0.11357421,0.10609289,0.08737732,0.06915941,0.06276824,0.07183617,0.090094455,0.10769739,0.11704264,0.11640826,0.10833421,0.09766609,0.08777367,0.07939304,0.06998486,0.05787765,0.0447126,0.036446314,0.03927864,0.05480327,0.07743435,0.0957785,0.09999159,0.08733672,0.064479984,0.041127212,0.024301147,0.015026796,0.011153173,0.010979168,0.01577177,0.029760748,0.056079853,0.09316652,0.1320697,0.16223463,0.17707276,0.17899738,0.17519312,0.17255409,0.17326254,0.1753927,0.1757635,0.1719193,0.16383295,0.15382664,0.14724956,0.1507579,0.16901676,0.20027274,0.23574568,0.26412967,0.27851102,0.27923262,0.2714297,0.2599398,0.24739558,0.23500095,0.22397073,0.21451797,0.20479065,0.19122954,0.17161994,0.14693588,0.12139096,0.099316426,0.08365766,0.07584554,0.07794802,0.09214573,0.118151106,0.1503244,0.17927627,0.19689715,0.20093001,0.19494073,0.18518774,0.17685284,0.17246671,0.1713835,0.17131905,0.1699934,0.16708396,0.16367775,0.16137935,0.16106212,0.16319637,0.16780382,0.1746623,0.18334629,0.19363315,0.20549554,0.21879238,0.2326874,0.2456476,0.25525418,0.25932506,0.25671014,0.24858297,0.23751962,0.22610922,0.21546602,0.20543738,0.19576849,0.18676679,0.17889376,0.17216212,0.16601478,0.16057344,0.15591969,0.1517929,0.14586772,0.136422,0.12328903,0.109081306,0.096329905,0.08725378,0.08437551,0.09070497,0.107019186,0.12891307,0.14905708,0.16226025,0.16837668,0.16953778,0.16530265,0.15291643,0.13080744,0.10283414,0.07590527,0.056065027,0.04460305,0.039428744,0.037307445,0.03623788,0.03537874,0.034754712,0.03487352,0.036814626,0.041967366,0.05097283,0.06327536,0.07699848,0.09000778,0.09998991,0.10566745,0.10827876,0.11262035,0.124320425,0.14516275,0.17139041,0.19738077,0.22067724,0.24295206,0.26580906,0.28753427,0.30270424,0.3067133,0.297739,0.27833652,0.25238773,0.22451627,0.19820456,0.1768922,0.1635438,0.16029648,0.1665703,0.17772277,0.18627457,0.1852866,0.17304313,0.15454191,0.13975471,0.13741638,0.1502152,0.17283459,0.19651468,0.21376343,0.22155367,0.2198621,0.21092997,0.19878727,0.18853931,0.18267576,0.17828268,0.1688941,0.15040264,0.12560944,0.10261222,0.08937619,0.08754302,0.092290245,0.09580943,0.09519714,0.093856014,0.09835831,0.11006931,0.1230092,0.12830473,0.12145474,0.105576105,0.08745587,0.0728352,0.06344901,0.05878909,0.05799359,0.060903553,0.06738794,0.07674238,0.08765335,0.098379396,0.1068584,0.1105268,0.107100226,0.09609584,0.08094141,0.06888319,0.068206966,0.08305033,0.11037466,0.14112137,0.16583724,0.17937692,0.18232428,0.17840557,0.17197263,0.16621643,0.16251107,0.16015069,0.15703268,0.15160054,0.143602,0.1340241,0.12356461,0.111995436,0.09861788,0.08297374,0.06674149,0.052704465,0.04476102,0.045189034,0.055310745,0.07332183,0.09447762,0.1102714,0.113294385,0.1012372,0.07953249,0.05685645,0.040066164,0.030785495,0.02710247,0.02625423,0.026457885,0.026931135,0.027390292,0.027810767,0.02826102,0.028820895,0.029454654,0.030037442,0.030397972,0.030354599,0.029789733,0.028756648,0.027527943,0.026458904,0.025744088,0.025331287,0.025034567,0.024739405,0.024440497,0.024148585,0.023824347,0.023402566,0.022871057,0.022236891,0.021500036,0.020692306,0.020079909,0.020329932,0.022482142,0.027569681,0.03612067,0.047731966,0.061187368,0.07477978,0.08662609,0.09450155,0.0960846,0.09014056,0.07880192,0.0682806,0.06716545,0.08075305,0.10703964,0.13601106,0.15676333,0.16529095,0.16789486,0.17531757,0.19322902,0.21833433,0.2422217,0.2589117,0.2676696,0.2705028,0.26891616,0.2628248,0.25265154,0.23965998,0.22605897,0.21313405,0.20148587,0.19047277,0.18035452,0.17262577,0.17068595,0.17628664,0.18817405,0.2023809,0.21571995,0.22692172,0.23555605,0.24103723,0.24277033,0.24089627,0.23532756,0.22595282,0.21395373,0.20359747,0.2006132,0.20788997,0.22231014,0.23592003,0.24108724,0.23459573,0.21808313,0.19727524,0.18228905,0.18975598,0.2341752,0.31541315,0.4079399,0.4760882,0.49654436,0.4761723,0.44149575,0.42020682,0.42313603,0.44280013,0.4599736,0.45843872,0.43436408,0.39724997,0.36082307,0.33394623,0.31707796,0.30423805,0.28768957,0.2628366,0.23088731,0.19876754,0.17527036,0.16714741,0.1750074,0.19308871,0.212077,0.2251275,0.23100257,0.23257954,0.23218231,0.22878826,0.21968107,0.20318049,0.18099342,0.15686344,0.13484411,0.11647162,0.101529926,0.09020553,0.08597516,0.093059756,0.11210722,0.13712582,0.15982614,0.1746704,0.18175016,0.18379289,0.18365127,0.18258005,0.18045539,0.17547786,0.16596425,0.15293308,0.14242192,0.14227164,0.15638638,0.17971055,0.20136786,0.21226294,0.21202387,0.20739408,0.20535219,0.20723093,0.20961021,0.20943834,0.20686853,0.20436859,0.2030548,0.2025572,0.2017687,0.2010827,0.2012863,0.20251976,0.20339938,0.20239498,0.19962877,0.19682129,0.19569938,0.19602795,0.19629192,0.19559187,0.19495492,0.19705911,0.2065079,0.2300513,0.27462754,0.33789718,0.4039888,0.44703224,0.45175457,0.422837,0.38571703,0.36713696,0.38499323,0.43446302,0.4933513,0.5280352,0.5202599,0.4739673,0.41533265,0.3692783,0.3517332,0.36271644,0.39170516,0.41891477,0.4274858,0.41236138,0.38392332,0.35611096,0.335441,0.3171858,0.29335487,0.2603877,0.22174565,0.1834597,0.1498401,0.12331561,0.107358664,0.10814076,0.12947117,0.16800688,0.21128078,0.24575113,0.26347914,0.2659994,0.25874126,0.24639581,0.22971909,0.20887716,0.18595326,0.16636956,0.15478325,0.15222679,0.15553115,0.16174912,0.17057486,0.18332034,0.19928457,0.21498685,0.22663356,0.23259048,0.23316239,0.22889262,0.22052385,0.2102877,0.20202534,0.19786392,0.19495134,0.18657969,0.16866453,0.14494249,0.12552044,0.11926738,0.12853228,0.1484472,0.17185323,0.19187196,0.20490749,0.20937324,0.20642662,0.19847763,0.18985708,0.18504082,0.18687175,0.19439179,0.20277251,0.20575793,0.19946332,0.18656974,0.1768732,0.18533422,0.22518747,0.3012633,0.39956197,0.49006322,0.538356,0.5321086,0.48577783,0.43069425,0.38765338,0.36042055,0.3404373,0.32184112,0.30500153,0.295225,0.296738,0.3096741,0.32876095,0.34610668,0.3551327,0.35389826,0.34487638,0.332631,0.32065725,0.31056178,0.30189654,0.29408148,0.2856046,0.27554527,0.26348293,0.25302017,0.24953996,0.25735807,0.27419937,0.29315722,0.30722633,0.31446698,0.31696844,0.31742036,0.3158511,0.3101633,0.2978834,0.27901623,0.25670567,0.23699103,0.225491,0.22503012,0.23378138,0.24666333,0.2572613,0.2605019,0.25462976,0.24176615,0.22741091,0.21736111,0.21555543,0.22137618,0.23086488,0.23867798,0.24187614,0.24098937,0.23877148,0.23772359,0.23819487,0.23904176,0.23860987,0.23646039,0.23347092,0.23139626,0.23148048,0.23373355,0.23716754,0.24065234,0.24350548,0.24541666,0.2464006,0.2466024,0.24642359,0.24604912,0.24570131,0.24547477,0.24555178,0.24598722,0.24635054,0.24589634,0.24300337,0.2367838,0.22790022,0.22039884,0.219391,0.22771375,0.24274695,0.2571907,0.2636778,0.2586358,0.24437432,0.2265752,0.21109648,0.20049192,0.1935672,0.18746293,0.18037994,0.17286791,0.16587757,0.1595669,0.15281256,0.14587666,0.14062898,0.13967963,0.14325207,0.14842236,0.1509266,0.14789154,0.13996655,0.13014439,0.122229554,0.11865404,0.120129235,0.1252948,0.13112496,0.1339752,0.13162315,0.12457479,0.11538362,0.10649121,0.09880059,0.09204545,0.08595721,0.080952376,0.07768259,0.07644988,0.07675765,0.07759888,0.078001745,0.0777105,0.077321894,0.07784215,0.079972625,0.08369664,0.08843511,0.093461744,0.098390885,0.103197485,0.10805625,0.112600125,0.115722805,0.116375804,0.11522206,0.11572623,0.121047854,0.13158715,0.14276125,0.15055694,0.15340279,0.15456618,0.15724261,0.16393231,0.17433019,0.18721938,0.20046629,0.21259129,0.2221551,0.22800875,0.22939044,0.22763067,0.22579207,0.22691391,0.23120631,0.23625763,0.23943411,0.24056612,0.24141864,0.24319868,0.24741311,0.25894895,0.28770673,0.33831963,0.40156034,0.4531459,0.47304925,0.45817637,0.426576,0.40091285,0.3983537,0.41921362,0.44983009,0.4666518,0.45421132,0.41368774,0.3634828,0.3250613,0.31371185,0.33271638,0.37178874,0.4090854,0.4217944,0.40155116,0.35999918,0.32007697,0.29880524,0.29769135,0.3043262,0.30350694,0.28687826,0.25649145,0.22053672,0.18801594,0.16517149,0.15590088,0.16045983,0.17520516,0.19138277,0.20068242,0.19952363,0.19246803,0.18663882,0.18646099,0.19070536,0.19503559,0.19440067,0.18425411,0.16243924,0.13252176,0.10508474,0.09431541,0.10934278,0.14794548,0.19565915,0.23489885,0.2547147,0.25634584,0.24799772,0.2367733,0.22370593,0.20714086,0.18888669,0.17665333,0.17820895,0.19417794,0.21600299,0.2331739,0.23973013,0.23604636,0.22424142,0.20692743,0.18848777,0.17783427,0.18377973,0.20845662,0.24130969,0.26601362,0.27120706,0.26042938,0.24601799,0.23876095,0.239995,0.24699461,0.25854504,0.27585557,0.2966332,0.31641892,0.33473492,0.36000857,0.39815462,0.44122052,0.46663472,0.45914614,0.42450747,0.38883638,0.3768076,0.39908418,0.444577,0.48986068,0.5084815,0.48999417,0.44294608,0.39243564,0.36265168,0.36918464,0.40854242,0.4597837,0.4914532,0.4841099,0.4434078,0.3954923,0.3647507,0.35767207,0.3643458,0.36946937,0.36276987,0.34098622,0.3069947,0.2670633,0.22755903,0.19323139,0.16571046,0.14616524,0.13591903,0.13687094,0.1484763,0.16639964,0.18434115,0.19720513,0.20400047,0.20633984,0.20744616,0.21002352,0.21641941,0.22690205,0.23924352,0.24851781,0.2497557,0.24045105,0.22194941,0.19821054,0.17377673,0.15221941,0.13525613,0.12228695,0.110861994,0.09895918,0.08776481,0.08225006,0.08785847,0.10602065,0.13205315,0.15801571,0.17702155,0.18640117,0.1870672,0.18198358,0.17413951,0.16611153,0.15928175,0.15445252,0.15167198,0.1510935,0.15236945,0.1548145,0.15690285,0.15698095,0.15397014,0.14822352,0.14135702,0.13502131,0.12932761,0.122776665,0.11423126,0.10561324,0.101274185,0.1046218,0.11436931,0.12592684,0.1347767,0.13958885,0.14087342,0.13980508,0.13717811,0.1342355,0.13193119,0.13104047,0.13191104,0.13522273,0.14073914,0.14686513,0.15068702,0.15064293,0.14763196,0.14469337,0.14448786,0.14827599,0.1561067,0.167655,0.181885,0.19646573,0.20824714,0.21491474,0.21627034,0.21405233,0.21077384,0.20880748,0.21012,0.21597171,0.22639064,0.23957463,0.2525768,0.26273915,0.2691439,0.272468,0.27379426,0.27375337,0.2729284,0.27281222,0.27561954,0.28245032,0.29182476,0.30019203,0.30488738,0.3059168,0.30533853,0.30451763,0.30299166,0.29940903,0.29326403,0.28496805,0.27471808,0.26141804,0.2428809,0.21703704,0.18380578,0.14644621,0.11147062,0.086259164,0.076556265,0.083958946,0.10595336,0.13591838,0.16636008,0.19112784,0.20824678,0.21834867,0.22296695,0.22243369,0.21690536,0.20725864,0.19557811,0.18353643,0.17223524,0.16212909,0.1543569,0.149235,0.14639217,0.14429647,0.14254141,0.14137276,0.1418789,0.14425315,0.14804918,0.1514519,0.15274227,0.15070726,0.14536323,0.13645886,0.12372473,0.10783878,0.09184917,0.079927556,0.07512864,0.07783977,0.08618196,0.097325735,0.109264575,0.12224696,0.13854702,0.16031985,0.18650825,0.21253519,0.23197918,0.23997016,0.23433994,0.21620308,0.1891442,0.15868984,0.13044666,0.10824361,0.09299482,0.08356737,0.0786381,0.07789772,0.08175201,0.08977597,0.09978218,0.10797242,0.11066801,0.10587066,0.09426615,0.07859387,0.062356144,0.04823554,0.037463136,0.02996417,0.025072515,0.021985598,0.019957967,0.018387742,0.016936475,0.015651228,0.014748328,0.014406907,0.014493802,0.014730811,0.014845103,0.0148138935,0.0147628635,0.014842272,0.015068632,0.015350212,0.015547428,0.015547664,0.015289775,0.014798082,0.0141557185,0.013481475,0.012841295,0.012243293,0.011629677,0.010948057,0.01018465,0.009382319,0.0086111305,0.007926672,0.0073577655,0.0069047757,0.0065561426,0.0062984284,0.006154994,0.0062744417,0.0070360955,0.00908361,0.013125919,0.019587642,0.028263792,0.03834105,0.048662107,0.058176413,0.066156484,0.0723337,0.07669243,0.07918077,0.07925615,0.07681548,0.074265406,0.07902608,0.10093301,0.14553766,0.20634954,0.26613888,0.30561793,0.31415626,0.29353157,0.25451472,0.21103461,0.17464562,0.15289353,0.14883833,0.16229552,0.18924148,0.2218389,0.2502817,0.26689696,0.26988497,0.2635865,0.2555695,0.2518773,0.25375855,0.2576286,0.2584835,0.25341204,0.24237396,0.22604282,0.20438433,0.17893934,0.15596364,0.14932851,0.1742115,0.24083872,0.339137,0.4423727,0.5134314,0.5346069,0.5117443,0.47213337,0.4362087,0.41145322,0.39231786,0.37437966,0.3564503,0.34002557,0.32602248,0.31521937,0.30889294,0.3086575,0.315357,0.32816696,0.34427118,0.360469,0.37454447,0.3858873,0.39315537,0.39352176,0.38379872,0.36430243,0.33905455,0.3138763,0.29229525,0.27572837,0.2639593,0.25692484,0.2533265,0.2504757,0.24431925,0.23268162,0.21773064,0.20699011,0.20716752,0.21897392,0.23428519,0.24570668,0.2528603,0.26426828,0.28678706,0.31940737,0.3538835,0.38196746,0.39938354,0.40386155,0.39342323,0.36941513,0.341717,0.32856202,0.34367764,0.3840338,0.42683557,0.44765434,0.4371744,0.40570843,0.36854216,0.33244762,0.29719827,0.2648264,0.24757588,0.25574043,0.28812757,0.32633653,0.3543621,0.36950698,0.3841927,0.40436688,0.42121187,0.41650966,0.38335887,0.3319819,0.2822741,0.24831183,0.23291232,0.23073532,0.23488028,0.2407286,0.2462156,0.2519167,0.26254758,0.28709516,0.3344996,0.4007802,0.46616712,0.5025274,0.49805453,0.46282807,0.42203543,0.3919321,0.37498978,0.36395943,0.35515785,0.35050416,0.35435358,0.36742005,0.3869704,0.4101344,0.4378418,0.46890226,0.4964416,0.506229,0.4918256,0.45877388,0.42393303,0.3981594,0.38350126,0.3746591,0.3685712,0.36291257,0.35560703,0.34370705,0.32922807,0.31835726,0.31853983,0.32944325,0.34291694,0.3470408,0.3372619,0.31895533,0.30332366,0.29695454,0.29793426,0.29918686,0.29570517,0.2873679,0.2774953,0.26870564,0.26277694,0.26032054,0.26317874,0.2711023,0.28187975,0.28982008,0.29197016,0.29002383,0.29089177,0.29946533,0.31405964,0.32777703,0.33621904,0.34392563,0.35851863,0.38031068,0.3963569,0.39290604,0.36988497,0.3437467,0.3316921,0.3367016,0.34979442,0.3633465,0.38082966,0.40621802,0.43340805,0.4428909,0.42095968,0.37169555,0.3176453,0.28128278,0.27155796,0.28242493,0.3012887,0.318271,0.32769075,0.32790264,0.32079208,0.31528935,0.32562128,0.36267832,0.41968617,0.47286662,0.4956307,0.48224792,0.4483664,0.41805246,0.4019558,0.39674386,0.39270434,0.38572517,0.37736735,0.37148175,0.369663,0.37151682,0.3757834,0.38203123,0.38983557,0.3984727,0.40635404,0.41211858,0.41519943,0.41475245,0.408909,0.39456454,0.37127075,0.3421599,0.31357443,0.29035905,0.27457604,0.26520026,0.26047614,0.25841346,0.25775823,0.25733152,0.2570692,0.25793016,0.26294085,0.27405116,0.2903138,0.30618715,0.31637457,0.3186244,0.31483316,0.3072468,0.29674914,0.28403714,0.27131572,0.26268235,0.26002935,0.26049125,0.25669152,0.24438135,0.22910456,0.22446638,0.23990607,0.27035055,0.30111882,0.3226771,0.3400903,0.36143625,0.38474318,0.39410838,0.38016212,0.35035515,0.32607913,0.3197814,0.32645082,0.33046338,0.32124677,0.29906884,0.26945642,0.23733304,0.20677888,0.18428296,0.17941387,0.19731589,0.23316807,0.27037916,0.29358307,0.29673955,0.28688487,0.27198967,0.2562868,0.2418905,0.23818736,0.26182058,0.3210256,0.40314522,0.47336516,0.5018278,0.4812014,0.43207884,0.3796918,0.33931926,0.31117272,0.29095414,0.2763903,0.26833132,0.26732957,0.27001035,0.27027583,0.2621334,0.24587834,0.22775735,0.21686228,0.21723531,0.2265083,0.23783427,0.24541229,0.2465079,0.24179827,0.23419023,0.22679962,0.22102614,0.21539323,0.20798312,0.1985451,0.19001593,0.18563445,0.18722667,0.19288702,0.19935912,0.20320447,0.20425023,0.2042412,0.20560764,0.20740329,0.20642899,0.20078157,0.19484293,0.19724472,0.21344657,0.23948972,0.2646861,0.28041112,0.28596556,0.28673556,0.28800032,0.29115573,0.29389465,0.29334435,0.2886448,0.28207913,0.27716073,0.276113,0.27800226,0.27972546,0.27737394,0.26836824,0.2523207,0.23202461,0.2117389,0.19511299,0.18315123,0.1751066,0.16993749,0.16736518,0.167342,0.16948718,0.17297472,0.17698634,0.18092425,0.18422043,0.18608837,0.1859067,0.1837324,0.180283,0.17579363,0.16945095,0.16021113,0.15040009,0.14720412,0.16164719,0.19780873,0.24840148,0.29314542,0.31656468,0.31384394,0.29516318,0.27035907,0.24634655,0.22646344,0.21722032,0.22567748,0.24907358,0.27292845,0.27691743,0.25520277,0.21783952,0.18542056,0.17035437,0.17535435,0.19535214,0.22446235,0.25571308,0.27975202,0.28742072,0.27375618,0.24363393,0.2080537,0.17882161,0.16070087,0.15366459,0.15673716,0.17315626,0.20510153,0.24806528,0.2872523,0.3074163,0.3025215,0.28023633,0.25374338,0.23324908,0.22343683,0.22589028,0.24181151,0.2666286,0.28958535,0.2953051,0.27903375,0.24889968,0.22268246,0.20959686,0.20704055,0.2060764,0.20452695,0.2092781,0.22471452,0.2451675,0.2543826,0.24406952,0.2183096,0.19182901,0.17229342,0.15971984,0.1517369,0.1533211,0.17323826,0.21245861,0.2592802,0.29397276,0.30557323,0.2957034,0.27533785,0.25112963,0.22595657,0.20347728,0.19360419,0.20513232,0.23514771,0.26830867,0.2873133,0.2874467,0.27563617,0.26187244,0.24929434,0.23768419,0.22969086,0.23270468,0.25146997,0.27973387,0.30148867,0.3013501,0.27731705,0.24053927,0.20625775,0.18204747,0.16893095,0.1666754,0.17896299,0.2057997,0.23797138,0.25718883,0.25188473,0.22608428,0.19766517,0.18156971,0.18118002,0.1909454,0.20634776,0.22826652,0.25510246,0.27876103,0.28436208,0.26646295,0.23201191,0.19874163,0.17795944,0.17129786,0.1742162,0.18499267,0.2070837,0.23848493,0.2700245,0.2841914,0.27535972,0.24944724,0.22447352,0.21021383,0.20885952,0.21583186,0.23047566,0.253716,0.2821711,0.3050864,0.3094133,0.2921201,0.26119494,0.23015113,0.20617092,0.19100071,0.18516313,0.19283283,0.21635328,0.24925351,0.27606973,0.28226113,0.2667043,0.24151562,0.22236641,0.2161846,0.22170682,0.23530234,0.25649044,0.28354296,0.3085433,0.31843075,0.30519962,0.2740738,0.23988615,0.21616292,0.20652962,0.20900826,0.22165336,0.24636626,0.28067118,0.31442058,0.33102393,0.3222834,0.2953631,0.2691116,0.25835824,0.26422635,0.27957633,0.29805937,0.32163653,0.3500398,0.3775905,0.3895775,0.379577,0.35151395,0.3206677,0.29653087,0.28095332,0.2703339,0.26581785,0.2735951,0.2952614,0.32249904,0.33818352,0.33377385,0.31292614,0.28985548,0.2729548,0.2630626,0.25676474,0.2551734,0.26428875,0.28599063,0.31386057,0.3330103,0.33534226,0.32249597,0.30571458,0.29210195,0.28438446,0.2828152,0.2912036,0.31160018,0.33763275,0.35323086,0.34370017,0.30796453,0.26049688,0.22055031,0.20086609,0.20435728,0.22864366,0.2689993,0.31773677,0.36161974,0.38553062,0.38113967,0.3538647,0.31903732,0.29071876,0.27346602,0.26503548,0.26308206,0.2695864,0.28449544,0.30147913,0.30718395,0.29423964,0.26742107,0.24199028,0.22913472,0.22897924,0.2348261,0.2425949,0.25542733,0.27390137,0.29149494,0.29359907,0.27472067,0.2414438,0.21068983,0.19225186,0.18680693,0.18994014,0.20105977,0.22359322,0.25485787,0.2843978,0.29537007,0.2828414,0.2541217,0.22694798,0.21118253,0.20820554,0.21330822,0.22526614,0.24534078,0.2703794,0.29067004,0.29380503,0.27831423,0.25323838,0.23310153,0.22434826,0.22703826,0.2387517,0.2605826,0.29267076,0.32948086,0.35921195,0.3713442,0.36494282,0.34900427,0.33506283,0.32859245,0.32907128,0.33488885,0.34710371,0.36589527,0.38597035,0.3974944,0.39346898,0.3756307,0.35195506,0.32954082,0.31040123,0.29538223,0.28817686,0.2954968,0.3180307,0.34640828,0.36270902,0.35529256,0.32633284,0.29130602,0.26505676,0.2527365,0.25105557,0.2562337,0.27101156,0.2973783,0.33129537,0.3579705,0.36609182,0.35407236,0.33358148,0.3166802,0.3104353,0.31584087,0.33183572,0.3574634,0.38687634,0.4117011,0.42125407,0.4142458,0.39529184,0.37434694,0.35433054,0.3348669,0.31437233,0.29848632,0.2963804,0.31270805,0.34097347,0.36460888,0.37061962,0.35557285,0.3279524,0.29703614,0.27095646,0.25527287,0.25685525,0.27942535,0.3173567,0.3548001,0.37386462,0.36874786,0.3475244,0.32568073,0.31248996,0.31001273,0.31573918,0.3297174,0.3512124,0.3763062,0.39443755,0.39572552,0.37630686,0.34244773,0.30516148,0.27421868,0.25470248,0.24814296,0.25678945,0.28019413,0.31222352,0.33701852,0.34156716,0.32372013,0.29611835,0.27217165,0.2582457,0.2536116,0.2579366,0.2745521,0.30191606,0.33098546,0.34515557,0.33710277,0.31161645,0.28506055,0.26914656,0.26719972,0.2754949,0.29094264,0.31389356,0.3415811,0.36619768,0.37311563,0.3557576,0.31911135,0.28283003,0.2638526,0.26929674,0.29195395,0.32168663,0.35175166,0.37853304,0.39725062,0.4001566,0.38594303,0.36078867,0.33773187,0.3244786,0.32341442,0.33164847,0.34742025,0.36775875,0.3867272,0.39524433,0.38688877,0.36452773,0.33824167,0.31896242,0.30979034,0.30870482,0.31239676,0.32236683,0.33935848,0.36021745,0.37467977,0.37489414,0.36041752,0.3399812,0.3222828,0.3105946,0.3034661,0.30041346,0.30587542,0.32279146,0.34795502,0.368976,0.37623563,0.3680294,0.35258746,0.33724657,0.32486305,0.315299,0.3109498,0.31822094,0.33925238,0.36801973,0.3887883,0.38991633,0.36878935,0.33469018,0.29720977,0.26311582,0.23612581,0.22179885,0.22725725,0.25029802,0.27789342,0.28786072,0.27202526,0.23706464,0.20297414,0.18034798,0.17082424,0.17026941,0.18003069,0.2046674,0.24107523,0.27575347,0.28862146,0.2742882,0.24329306,0.21838671,0.21175401,0.22373937,0.24508275,0.27114865,0.3004861,0.33086076,0.35309637,0.35665596,0.3383305,0.30538753,0.26991394,0.2403649,0.22077686,0.21385507,0.22473674,0.25624824,0.30302855,0.3479791,0.37131834,0.36297917,0.33010927,0.2910371,0.2618189,0.24903415,0.25038144,0.26304793,0.28237545,0.3009688,0.30626813,0.2933793,0.27008078,0.25469363,0.25874507,0.2797912,0.30611452,0.32885674,0.34810778,0.3650624,0.3775111,0.3766526,0.360214,0.33370247,0.31087014,0.29965696,0.30027017,0.30718586,0.31735215,0.3325118,0.35126862,0.3662701,0.363601,0.33893374,0.29923323,0.2611007,0.23372321,0.21753132,0.2089505,0.21054596,0.23018141,0.26934645,0.31698707,0.35120893,0.35742247,0.33509052,0.29957965,0.26704767,0.24939252,0.24914749,0.26492253,0.29067406,0.3162578,0.32834706,0.31751052,0.2877746,0.25499564,0.23784645,0.2428065,0.26451164,0.29148087,0.31831145,0.34289524,0.3632147,0.3710382,0.3612958,0.33659813,0.3091854,0.28913242,0.27857032,0.27307686,0.26998588,0.27366188,0.2880688,0.31028906,0.32623658,0.32554576,0.30930385,0.29276097,0.2887843,0.30007914,0.31887588,0.33842847,0.35831985,0.37964988,0.39894196,0.4063395,0.3972368,0.3754373,0.35255077,0.33494034,0.32214633,0.3099955,0.30006075,0.3010347,0.31875232,0.3488731,0.3745365,0.3837597,0.37464294,0.35754147,0.3392183,0.32233238,0.3069215,0.298421,0.30441636,0.32537508,0.35099256,0.3640459,0.3571403,0.33556747,0.31438366,0.3024393,0.3009492,0.30632582,0.317767,0.3357509,0.355709,0.3677113,0.36140898,0.33804607,0.30838716,0.28652593,0.27700993,0.27728227,0.28320575,0.296168,0.31793025,0.3436248,0.36113897,0.36031637,0.3416233,0.3129604,0.2820879,0.25171098,0.22598357,0.21229589,0.22048314,0.25075135,0.29207456,0.3242205,0.33457062,0.32410237,0.30656508,0.29428115,0.29170248,0.29723355,0.3094413,0.32980934,0.35564283,0.37818694,0.383171,0.36467493,0.32781377,0.287227,0.2536478,0.23221701,0.22477563,0.23494731,0.26506642,0.30810294,0.34879184,0.36932075,0.3652353,0.3429971,0.31553623,0.2870562,0.25779536,0.23007537,0.21697094,0.23368151,0.2832234,0.348462,0.40101066,0.42255008,0.41543773,0.39796492,0.38657227,0.38773957,0.39899087,0.41677046,0.43813002,0.45856166,0.4705981,0.4680277,0.45255718,0.43338847,0.41952193,0.41244376,0.40809116,0.40568662,0.40978685,0.42411682,0.44180918,0.44836888,0.43286613,0.3986186,0.35986003,0.33060703,0.31629574,0.31615606,0.32929754,0.35752475,0.39861038,0.44259214,0.4726372,0.4787556,0.4627591,0.43721664,0.4120547,0.39053544,0.3717847,0.35796022,0.35560808,0.36671904,0.38461468,0.3936865,0.38582584,0.36585748,0.35068324,0.35191408,0.36844477,0.38994816,0.4079444,0.42311248,0.4368733,0.4464123,0.44106185,0.4168943,0.38106275,0.35008535,0.33446205,0.33300003,0.3389435,0.34997654,0.37015286,0.39904806,0.4254903,0.4334083,0.41713548,0.38720942,0.36107203,0.34878623,0.34925056,0.35739174,0.3718758,0.39306298,0.4157077,0.427272,0.41669127,0.3855079,0.34674528,0.31415722,0.2915399,0.2761159,0.26757228,0.2733103,0.30057815,0.3459604,0.39286122,0.42304567,0.4304277,0.42332435,0.41508532,0.41205916,0.4145627,0.42091945,0.4339776,0.45391166,0.4766225,0.491109,0.4914048,0.4786369,0.46127558,0.44420412,0.42679778,0.4076524,0.39146602,0.38977918,0.40748122,0.43760347,0.4616165,0.46906495,0.46217695,0.45406234,0.45229635,0.45618343,0.4605018,0.4632769,0.4663224,0.46899104,0.46681103,0.45369372,0.43193427,0.41066352,0.40027902,0.40090463,0.40457594,0.40377474,0.39985827,0.40126607,0.41042757,0.41919816,0.4119512,0.38509774,0.35112652,0.33213043,0.33902028,0.36569437,0.397712,0.42525765,0.44724238,0.46203527,0.46464345,0.4494126,0.42065057,0.39030588,0.37064457,0.3636762,0.36550644,0.37292448,0.38961193,0.41620675,0.44404435,0.45455828,0.4368887,0.39674413,0.3548005,0.3286539,0.32364392,0.33471718,0.3569348,0.3897179,0.42956343,0.4652933,0.47941685,0.46483287,0.42961717,0.39351544,0.36968422,0.35965145,0.35786676,0.36218926,0.37655792,0.40281892,0.43608153,0.4637133,0.47660133,0.4727129,0.4583141,0.43972492,0.42192146,0.40810075,0.40235004,0.4080217,0.42305425,0.43842065,0.44056043,0.42445132,0.39722177,0.3757216,0.3698486,0.37899435,0.39554474,0.4160699,0.44133234,0.46883106,0.48983225,0.493414,0.4797677,0.45830107,0.44172183,0.43211222,0.42527974,0.4173857,0.41325188,0.41892216,0.4333942,0.44527683,0.4433529,0.42656687,0.4048897,0.38907123,0.38169476,0.3784517,0.3757527,0.37588573,0.38284,0.39382455,0.39855817,0.38782063,0.366344,0.349636,0.3509705,0.36758897,0.38610998,0.3972,0.4039277,0.41395083,0.42631325,0.43080053,0.41957358,0.39841327,0.38129815,0.37837398,0.3860959,0.39616835,0.40338072,0.41286525,0.42789719,0.44489872,0.45007804,0.43469307,0.400376,0.36008176,0.3259793,0.30461547,0.298066,0.30775774,0.33661893,0.37991264,0.4251497,0.45216307,0.45239958,0.43006822,0.40128067,0.37546697,0.3552517,0.33952844,0.33305487,0.34390676,0.3741032,0.41375968,0.44374654,0.451161,0.43653393,0.41366807,0.39586604,0.39030597,0.39566043,0.4088265,0.42530262,0.44018248,0.4456081,0.43582478,0.4131298,0.39014056,0.38133454,0.3917019,0.4143817,0.43949798,0.46245003,0.482762,0.49613544,0.49371144,0.47056636,0.43451712,0.40217003,0.3868338,0.38891196,0.40083483,0.41534087,0.43241405,0.4521617,0.47052416,0.4770302,0.46607265,0.44161025,0.41593757,0.3989935,0.39314246,0.39675042,0.40860674,0.4308288,0.45939505,0.48378274,0.48701656,0.46473065,0.42673695,0.39479658,0.38103065,0.3843863,0.39568904,0.41063026,0.43271875,0.46205398,0.490804,0.5023665,0.48953554,0.45755422,0.42325434,0.3981085,0.38502696,0.382036,0.39023912,0.41357374,0.44731,0.47654948,0.48192224,0.45973873,0.42180514,0.3866683,0.3616289,0.34574625,0.33938777,0.34986708,0.38215065,0.42611197,0.45970085,0.4634262,0.4373809,0.39796308,0.36447755,0.3444281,0.3357931,0.33633924,0.35040867,0.38242447,0.42714608,0.46742287,0.48629224,0.4799652,0.45968446,0.43980536,0.42658088,0.41857925,0.41456136,0.41826472,0.43165433,0.44780985,0.451718,0.43450752,0.40352097,0.37825918,0.37363052,0.38897094,0.41372153,0.43912116,0.4645292,0.48867825,0.5042627,0.49867752,0.46858585,0.42372358,0.38250804,0.3563671,0.34628108,0.34797612,0.36061916,0.38662544,0.42140457,0.45114776,0.45700273,0.4336802,0.39114007,0.35024416,0.32365105,0.31308758,0.313331,0.32256258,0.3424472,0.3693761,0.39262095,0.40021417,0.39389953,0.38651362,0.39160284,0.40932453,0.43018246,0.44546413,0.4542636,0.4597919,0.45948887,0.44499996,0.4092245,0.35944167,0.31431863,0.29324925,0.30050945,0.3271658,0.3598945,0.39334628,0.42632174,0.45396617,0.46244302,0.44075283,0.39317605,0.34000096,0.3024139,0.28836697,0.293788,0.3118969,0.34116217,0.37840018,0.41346228,0.42886445,0.41586813,0.38146076,0.34500423,0.3205121,0.30974385,0.30760205,0.31272766,0.33122408,0.36564252,0.40896034,0.44272777,0.45481682,0.44485453,0.42494905,0.4034226,0.38336834,0.36597744,0.35812092,0.3676206,0.39218262,0.41819143,0.4283241,0.41960052,0.40264758,0.39410555,0.39937365,0.4142433,0.43180606,0.45052543,0.47035003,0.485226,0.48477527,0.4619311,0.42285657,0.38193417,0.35273597,0.3388351,0.33771852,0.34787735,0.37150136,0.4085797,0.44885337,0.4751128,0.474431,0.45055667,0.42001614,0.39941406,0.39326075,0.3964573,0.40350792,0.41525114,0.4338194,0.45590082,0.4702394,0.46824095,0.4510099,0.43068203,0.41858438,0.4193519,0.43019328,0.44750544,0.46800148,0.48506367,0.48787758,0.4661964,0.4224398,0.3721901,0.33608875,0.32384083,0.32997596,0.3416985,0.35133278,0.36229083,0.3802872,0.4036243,0.4194666,0.41718352,0.39823604,0.3765073,0.36368203,0.36174917,0.36658683,0.3769401,0.39654997,0.42313775,0.4461852,0.4493201,0.43006158,0.3987237,0.3742791,0.3640277,0.36577073,0.37268767,0.38509205,0.4064436,0.43497312,0.4598043,0.46715435,0.45289913,0.42424682,0.39476153,0.37434974,0.36713862,0.37280536,0.388886,0.4116682,0.43378675,0.44594058,0.44029126,0.4193903,0.39556634,0.38336852,0.3869067,0.39994562,0.41444695,0.4301153,0.44852456,0.4653248,0.46708134,0.4471285,0.41301474,0.3845271,0.3743329,0.38159427,0.39636803,0.41287366,0.43237093,0.45484474,0.47184637,0.46870515,0.4397504,0.39569804,0.3584598,0.344612,0.35576168,0.38289395,0.41516843,0.44730103,0.47362885,0.48667684,0.47638312,0.44321212,0.3991498,0.3633404,0.34568194,0.3434014,0.34757861,0.3545389,0.36877075,0.39154062,0.41497743,0.42254317,0.4079778,0.37917766,0.355021,0.345502,0.34967884,0.36068857,0.37797067,0.40564516,0.44278207,0.4783125,0.49550068,0.48691344,0.45680454,0.41805014,0.3798314,0.34811667,0.32724205,0.3243624,0.34389815,0.38085535,0.4196353,0.442796,0.4446919,0.43254557,0.41908666,0.40932634,0.40232655,0.39626476,0.39617157,0.40671507,0.4258957,0.44123557,0.44197097,0.4282215,0.4117945,0.40365002,0.4053549,0.41223714,0.4214088,0.43539178,0.4539204,0.4692258,0.46818164,0.4461775,0.41332424,0.38903883,0.38626423,0.4026167,0.42620382,0.44676542,0.46327385,0.4760501,0.48226976,0.47418138,0.452531,0.4274857,0.41457018,0.41962913,0.43848264,0.46260932,0.48782635,0.51395893,0.538262,0.554167,0.55355597,0.53707856,0.51294416,0.49330822,0.48298046,0.479913,0.47962523,0.48143235,0.48753747,0.49501073,0.4955198,0.47893336,0.447083,0.4114913,0.38750085,0.37844655,0.37797645,0.37716392,0.37718102,0.38525102,0.40373075,0.4222753,0.42602292,0.41169047,0.39124632,0.38164493,0.3890938,0.40817305,0.43092296,0.45496222,0.47988915,0.49898586,0.5009246,0.48146665,0.45201683,0.4318575,0.43173647,0.44680402,0.46336636,0.47276822,0.47590756,0.48014998,0.48858905,0.49681267,0.49675474,0.4868581,0.47419742,0.46784225,0.46980533,0.4749193,0.47730574,0.47795853,0.48173547,0.4916432,0.5019166,0.504731,0.49618018,0.48141262,0.46712005,0.4565816,0.44870842,0.44383916,0.44692767,0.4617236,0.48475814,0.5028765,0.50597346,0.49371758,0.4774097,0.4659573,0.46164608,0.46005106,0.45979142,0.46310127,0.47187853,0.4818798,0.48381743,0.47258452,0.45103487,0.4282162,0.40913713,0.3934566,0.3804359,0.37527835,0.38662708,0.41407928,0.44406632,0.45526668,0.43832135,0.40168488,0.3669707,0.3504282,0.3559012,0.37743816,0.40871575,0.44578835,0.4821528,0.50653565,0.5086226,0.48937503,0.46274137,0.44385925,0.437274,0.4346598,0.42850053,0.4213786,0.42367116,0.43961576,0.46057925,0.47417358,0.47561157,0.47073936,0.46555367,0.46128836,0.4567509,0.45487595,0.46143803,0.4763049,0.48912355,0.48412743,0.456448,0.4179465,0.39041427,0.386366,0.40196243,0.4245216,0.44525802,0.46419847,0.48054388,0.48885322,0.47954297,0.4538702,0.42487004,0.41101333,0.41902956,0.44080982,0.46276104,0.47781184,0.4893603,0.5003769,0.50864595,0.50521684,0.48816884,0.4635487,0.4450005,0.4392695,0.4463546,0.46014675,0.4781787,0.4991037,0.5197882,0.531856,0.5281637,0.5098043,0.48576307,0.46479216,0.44788566,0.43138635,0.41501424,0.4062409,0.4123952,0.43022203,0.4435841,0.43707666,0.41006696,0.37830687,0.3586719,0.35575545,0.36294582,0.37473902,0.3943428,0.4251345,0.45970616,0.47901618,0.469599,0.4364446,0.3995786,0.376013,0.36797842,0.369162,0.37613678,0.39363348,0.42313793,0.45567754,0.473737,0.46856138,0.44773808,0.42767653,0.41684887,0.4096686,0.3992091,0.3878869,0.38875988,0.40760443,0.435684,0.45180023,0.44323215,0.413541,0.3807024,0.35981902,0.35594785,0.3659295,0.38697374,0.41832176,0.45447946,0.4821311,0.48638484,0.4649154,0.4306762,0.40144515,0.38505796,0.3777671,0.37516907,0.38057983,0.40125763,0.43512335,0.4670144,0.4785229,0.46456838,0.4362767,0.4107758,0.3970902,0.39505455,0.40133536,0.41622737,0.43961635,0.46640453,0.48478258,0.4862342,0.47235957,0.45569015,0.44782212,0.45224205,0.46293887,0.47317752,0.48003164,0.48431602,0.4851869,0.47864833,0.46281075,0.44281933,0.42899612,0.42772135,0.4361846,0.4483702,0.461665,0.48027882,0.5030718,0.52129626,0.5185341,0.49077234,0.44854638,0.4148579,0.4028307,0.4117485,0.43029702,0.451463,0.47525164,0.50004864,0.516852,0.5105645,0.47829247,0.43231463,0.3958296,0.38143075,0.38750136,0.40303683,0.42179516,0.44329867,0.46648905,0.48369583,0.48523486,0.4696412,0.4472523,0.43202963,0.42956278,0.4346764,0.43990922,0.44487485,0.45338765,0.46415305,0.4660269,0.4488361,0.41565165,0.3833762,0.36729756,0.36861125,0.37687424,0.3848623,0.39609042,0.41781178,0.44813251,0.47327805,0.48001206,0.46672836,0.44490263,0.42642245,0.41609368,0.41145137,0.41164687,0.42012224,0.43950316,0.4633994,0.47732124,0.47072604,0.44704628,0.42088342,0.40421903,0.3981851,0.3979263,0.4025828,0.41779003,0.4454205,0.4769584,0.49576774,0.49392334,0.47775054,0.4635733,0.4604341,0.46562865,0.47026265,0.47129953,0.47384703,0.48244247,0.49347162,0.4963962,0.48615524,0.46787265,0.45196378,0.44332063,0.44015047,0.4405166,0.44642147,0.46057892,0.4791772,0.49249825,0.49206996,0.47918943,0.46321765,0.45300937,0.4496385,0.44968757,0.45296347,0.46463904,0.48798862,0.5165167,0.5360982,0.53657573,0.52065283,0.50103414,0.4876863,0.48080924,0.47400096,0.4649104,0.45798206,0.45830357,0.46301833,0.46293703,0.45291486,0.43948367,0.43529072,0.44728085,0.46983418,0.49187446,0.5060559,0.5144177,0.5206972,0.5239633,0.51577705,0.49132657,0.4558625,0.4228523,0.4010625,0.38895932,0.38175333,0.37997496,0.39062235,0.414546,0.44325206,0.4614171,0.4636787,0.4554473,0.44951773,0.450785,0.4563805,0.46086898,0.46471706,0.47240818,0.4822793,0.48553595,0.47276238,0.44838238,0.42788732,0.42522836,0.44142637,0.46555242,0.48938575,0.51026654,0.5324123,0.5542888,0.5695944,0.5681657,0.5477471,0.5158744,0.48621556,0.4671085,0.45748293,0.45020974,0.4404914,0.42926177,0.42045727,0.41701496,0.4173403,0.41836604,0.41638687,0.4116309,0.40516272,0.3991295,0.392687,0.38462833,0.37355992,0.36067176,0.34850684,0.34070817,0.3391571,0.34362984,0.3510964,0.35938486,0.36647448,0.37201235,0.37432542,0.37374565,0.37054083,0.3659939,0.35891905,0.34870383,0.33543614,0.3217125,0.3096976,0.30126497,0.29707134,0.29713205,0.299847,0.30227566,0.3021451,0.29912445,0.29566607,0.29435214,0.2963971,0.2999604,0.30182192,0.29984918,0.2946801,0.28897083,0.28466985,0.2825267,0.2826947,0.2850264,0.28824642,0.28954276,0.28789338,0.28464842,0.28405723,0.2885526,0.29890692,0.31166115,0.32247853,0.3267212,0.32484964,0.32074657,0.31968844,0.3224044,0.326306,0.32816818,0.32817435,0.328508,0.33073238,0.33377483,0.3353616,0.33441457,0.331854,0.32911858,0.32658264,0.32384422,0.3215575,0.32092366,0.3224325,0.32377204,0.32280263,0.31865576,0.3136798,0.30988303,0.30912992,0.31079394,0.31308225,0.311765,0.30437636,0.29209724,0.2808648,0.27484524,0.27249476,0.2663615,0.25062448,0.2261809,0.20072033,0.18231474,0.17410761,0.17381056,0.17808859,0.18587427,0.19779105,0.2119177,0.22245687,0.22149926,0.20471013,0.17383029,0.136948,0.1045161,0.08644762,0.08955923,0.11536509,0.1580285,0.20404176,0.23816133,0.25035316,0.24106725,0.21821614,0.19177733,0.16850208,0.15235968,0.14615493,0.15246879,0.17023323,0.19309884,0.21129753,0.21807434,0.21321256,0.20186323,0.18977612,0.18024357,0.17445964,0.17271937,0.1744202,0.17645834,0.17449282,0.16661827,0.15598446,0.14854707,0.14741802,0.15175706,0.15892304,0.1690843,0.18375464,0.20309001,0.22269553,0.2354017,0.23540561,0.22183259,0.19886665,0.17172056,0.14380781,0.117037654,0.09502536,0.08324843,0.08432859,0.093652,0.10049489,0.09639282,0.08093371,0.061367348,0.04554121,0.03752018,0.037369188,0.04368913,0.054522503,0.06697197,0.07782475,0.084863245,0.08799035,0.08819651,0.08653588,0.08414123,0.08358138,0.089066304,0.10280642,0.12128982,0.13541155,0.13850202,0.13358568,0.13295168,0.14785017,0.17903362,0.21629997,0.24690334,0.26356775,0.26686153,0.2616136,0.25327215,0.2451887,0.238609,0.23239107,0.2242849,0.21162008,0.1947866,0.17794152,0.16817115,0.16865182,0.17601351,0.182271,0.18234468,0.1766863,0.16822569,0.15719257,0.14192128,0.12324322,0.108774275,0.10743321,0.122702755,0.14688164,0.16749956,0.17468907,0.16650514,0.1469923,0.122763544,0.1015845,0.08921806,0.08732283,0.09106935,0.093434684,0.08969944,0.08172948,0.07648355,0.08329452,0.107563876,0.14726304,0.1909885,0.22477587,0.23886746,0.23358458,0.21667178,0.19846587,0.18622361,0.18137032,0.17972605,0.1741978,0.15979786,0.13650267,0.10959369,0.08530596,0.06756799,0.05608361,0.048752785,0.04352686,0.039830018,0.037809134,0.037764426,0.040102836,0.04572517,0.0564575,0.07377181,0.096721075,0.120043665,0.13685434,0.143766,0.14554857,0.15049648,0.16375284,0.18118739,0.19646895,0.20515299,0.20848401,0.20495905,0.1927309,0.17147501,0.15068835,0.14109097,0.14687042,0.15765981,0.15951665,0.14640991,0.128669,0.12290927,0.13951613,0.17326425,0.20928466,0.23251168,0.23639382,0.22370125,0.20366442,0.18711162,0.18072422,0.18493964,0.19385105,0.20045649,0.19829567,0.18514623,0.16247056,0.13806702,0.12103053,0.117789626,0.12601432,0.13876657,0.14949167,0.1576166,0.16537462,0.17357367,0.17841198,0.17603451,0.16789939,0.16278116,0.16956468,0.18937783,0.21388803,0.23280151,0.24186511,0.24420148,0.24572144,0.24987926,0.256139,0.26146123,0.26278028,0.25928068,0.25233555,0.24451773,0.23708971,0.23003699,0.2227218,0.21608151,0.21169896,0.21086763,0.21293658,0.21682803,0.22155136,0.22671103,0.23163001,0.23562114,0.23820722,0.23886062,0.23671769,0.23113102,0.2222017,0.21135944,0.20122193,0.19639747,0.20098056,0.21453208,0.22938369,0.23512115,0.22657792,0.20727265,0.1860143,0.1702119,0.16230966,0.15904482,0.15410501,0.14305447,0.1283411,0.11859667,0.12166951,0.13737725,0.15750434,0.17276049,0.17921211,0.17967184,0.1792361,0.18150388,0.18585485,0.18965882,0.19042479,0.1887846,0.18656515,0.18500577,0.18320318,0.18079299,0.17936228,0.18165828,0.18867952,0.1980506,0.20496531,0.20351821,0.18937029,0.16208285,0.12777345,0.097593874,0.08352322,0.09192121,0.120336495,0.15817122,0.19251598,0.21428053,0.22120528,0.21612217,0.2037615,0.18937123,0.1776985,0.1717171,0.17083572,0.17202379,0.17226468,0.17115493,0.17041858,0.17246951,0.17791349,0.18520562,0.19081576,0.19129322,0.18471979,0.17201038,0.15637214,0.14173095,0.13098419,0.12545437,0.12525298,0.12956132,0.13672704,0.1449619,0.15349402,0.16256581,0.17215902,0.18051946,0.1848179,0.18225968,0.17110221,0.15077661,0.12320278,0.09423729,0.072493866,0.06520001,0.07323509,0.09108144,0.110397406,0.12562908,0.13553584,0.14215186,0.14741378,0.15181823,0.1543097,0.15357572,0.14900422,0.14071162,0.12914667,0.11479488,0.09930106,0.086569905,0.081493534,0.08670187,0.09951008,0.11347312,0.12181443,0.120664574,0.109517455,0.09080148,0.069764555,0.052886665,0.046087354,0.051300496,0.066153936,0.08431956,0.099648625,0.108746,0.112756975,0.11475065,0.1171056,0.11968876,0.12074318,0.118403114,0.11200985,0.1030139,0.09394255,0.08683098,0.081093036,0.074964575,0.067134716,0.05836067,0.050000235,0.043685947,0.04161795,0.047581732,0.06446556,0.09035367,0.115893066,0.12871304,0.12175698,0.099400364,0.07482685,0.060885966,0.06263348,0.07582208,0.092043735,0.103886336,0.10846055,0.10644413,0.100248195,0.09193366,0.08311656,0.075155504,0.069259346,0.06587205,0.064487405,0.063988,0.06350953,0.06270132,0.061566535,0.060041074,0.058073897,0.055897355,0.054003265,0.05298875,0.053257775,0.05531129,0.059717942,0.06707448,0.077237904,0.08877504,0.09917266,0.10601864,0.10863203,0.10823765,0.107594766,0.10965503,0.117091715,0.13085939,0.14973766,0.17042224,0.1895958,0.20487337,0.21472554,0.21772023,0.21387029,0.20614064,0.20003621,0.20033233,0.20799911,0.22004378,0.23121063,0.23718202,0.23692407,0.23472027,0.23811306,0.25261596,0.27762425,0.30697462,0.335538,0.36117902,0.38448104,0.40373993,0.41603708,0.41843322,0.41041765,0.39356592,0.3707138,0.34614393,0.32500076,0.31292114,0.31363085,0.32679665,0.34793544,0.370182,0.38812757,0.40015742,0.41067782,0.42828262,0.45853695,0.49584135,0.5232516,0.5256801,0.5029708,0.4701103,0.44349447,0.42864048,0.4209071,0.4141514,0.40679196,0.40103948,0.39806286,0.39864424,0.40361318,0.41783127,0.44339952,0.4753468,0.4984099,0.49924693,0.4779937,0.4502511,0.43361697,0.434189,0.44466856,0.45389137,0.45524976,0.4491683,0.439028,0.42830047,0.42055455,0.4207966,0.43464556,0.46102205,0.48971352,0.50469637,0.49815884,0.47471687,0.44805038,0.42790535,0.4166418,0.4105127,0.40588796,0.400664,0.3956425,0.3936346,0.40011108,0.4191306,0.45148495,0.48844197,0.5160232,0.5197933,0.50007063,0.47167388,0.45514926,0.45691714,0.4654653,0.46319744,0.44353923,0.4155455,0.39315164,0.38434577,0.38719502,0.39618567,0.40700018,0.4186071,0.43006873,0.43937826,0.44581953,0.45268866,0.46587607,0.4855442,0.5026747,0.5037368,0.4837676,0.45052433,0.4190875,0.39883384,0.3911362,0.39314222,0.4060512,0.43085042,0.46210745,0.48447323,0.4856387,0.4687113,0.45306727,0.45482638,0.47219458,0.48604837,0.4815996,0.45962882,0.4352272,0.41981462,0.41489768,0.41303277,0.4089289,0.4016322,0.39514843,0.39207447,0.3950374,0.40493047,0.4250668,0.45409194,0.48504114,0.5037487,0.50220597,0.4843531,0.4644766,0.4534063,0.45168924,0.45267904,0.4508702,0.44566068,0.43947628,0.43373576,0.42866054,0.4249723,0.4273238,0.43960214,0.45850334,0.4700638,0.46040455,0.4279534,0.38611948,0.35132667,0.33135068,0.32372448,0.32302174,0.3269014,0.3362476,0.3517603,0.37145737,0.39256415,0.41424203,0.43804887,0.46210024,0.47884837,0.48008618,0.46821758,0.45636144,0.45487037,0.45807227,0.4484463,0.41702843,0.3745382,0.34301364,0.33547854,0.34749356,0.36580577,0.3809398,0.39250782,0.40268955,0.4120635,0.41848794,0.4232938,0.43200615,0.44888246,0.46798024,0.47240767,0.44935188,0.40370128,0.36001801,0.34242854,0.3591865,0.3987914,0.44480357,0.4850309,0.51278394,0.5199482,0.4988513,0.4527578,0.40210047,0.37556085,0.38610947,0.42088142,0.4498537,0.45338607,0.43263558,0.4041932,0.38084292,0.36576772,0.35574448,0.34858072,0.34416816,0.34232774,0.34254694,0.34618655,0.3581219,0.38385317,0.42083192,0.45548758,0.46865264,0.45319274,0.41967893,0.38929427,0.37486944,0.374524,0.37814653,0.37813178,0.37366197,0.36708215,0.3614364,0.35975853,0.3666509,0.38700983,0.41928372,0.45140752,0.46341872,0.4442179,0.4003085,0.35388884,0.32395363,0.31709775,0.3265257,0.34233162,0.3566035,0.36631885,0.37172326,0.37587014,0.38388905,0.40177056,0.43040392,0.4603194,0.47474408,0.4650289,0.4423528,0.42986992,0.44019225,0.46177116,0.47131154,0.45641652,0.42563245,0.39676833,0.3802029,0.37375948,0.36935413,0.3621938,0.35257897,0.3441129,0.33918962,0.3402227,0.34965706,0.37181535,0.4048109,0.43711266,0.4487103,0.42958736,0.38973996,0.3565667,0.35133764,0.37643707,0.4168209,0.4579576,0.49393317,0.5235173,0.54171747,0.5405023,0.52178854,0.50051636,0.49552193,0.50926876,0.5261288,0.5262197,0.5050704,0.47447237,0.45009673,0.43803048,0.43494877,0.43401012,0.4304092,0.42090848,0.40471545,0.38470778,0.36986375,0.37110797,0.3944576,0.43085673,0.45925367,0.45891264,0.429655,0.3925667,0.37416175,0.3838565,0.40958026,0.43264472,0.4425143,0.44191775,0.43696034,0.432331,0.43018684,0.43517303,0.45206046,0.47851133,0.50145006,0.5036381,0.4791722,0.43785772,0.3984988,0.3728555,0.36211225,0.36070642,0.36525348,0.37487078,0.38904557,0.4047527,0.419812,0.4354545,0.45733103,0.487314,0.51904964,0.538771,0.53937507,0.5271082,0.5153438,0.5074973,0.49200395,0.45678008,0.4066185,0.36348784,0.34808692,0.3630046,0.39396632,0.42325735,0.44275463,0.4530989,0.4590023,0.46285367,0.46785584,0.4766754,0.49114123,0.50392485,0.50255543,0.47701797,0.43487749,0.39774957,0.38775483,0.40881243,0.44695953,0.4837033,0.5094072,0.5239422,0.5270498,0.5154744,0.48868403,0.45799804,0.44270226,0.45331144,0.47995076,0.49607685,0.48249736,0.44115844,0.39526117,0.36764953,0.36684778,0.3832048,0.40086225,0.40808296,0.4028506,0.3901017,0.379007,0.37912294,0.39781225,0.43205944,0.4656279,0.47528112,0.45044044,0.4051566,0.36882865,0.36238608,0.38227114,0.409438,0.4266254,0.4298096,0.42350197,0.41314873,0.40224615,0.3948598,0.3983771,0.41869363,0.45285535,0.48663425,0.5034236,0.49741432,0.47536743,0.44944552,0.42686895,0.41049898,0.4009765,0.39862695,0.40241268,0.4112413,0.4259336,0.4485774,0.47997126,0.5175731,0.5536882,0.57797146,0.5819469,0.5684483,0.55012435,0.54008436,0.5376714,0.52982783,0.5049636,0.46635377,0.43023106,0.41135347,0.41197774,0.42351708,0.43620718,0.44765082,0.46016142,0.47580612,0.49089503,0.50161886,0.50831157,0.5155084,0.5236607,0.5242005,0.50768906,0.47348428,0.43451783,0.4050828,0.39235738,0.3933939,0.4044527,0.42521858,0.45475206,0.4831295,0.49263954,0.47429612,0.44139466,0.42216203,0.43322036,0.46270618,0.48260355,0.47636458,0.45184746,0.42915204,0.4201856,0.4222652,0.42648494,0.42848125,0.43066454,0.43677673,0.44753036,0.46126497,0.47727767,0.4963577,0.51422364,0.5204857,0.50348425,0.46586832,0.4254539,0.40498266,0.41232872,0.43707108,0.4601237,0.4681565,0.4596686,0.44204998,0.42517805,0.41618767,0.4178034,0.4315326,0.4544623,0.47794542,0.4850483,0.46689358,0.4302155,0.39729938,0.38405213,0.3904792,0.40361515,0.41331828,0.4186542,0.42472318,0.4344388,0.44606805,0.45611954,0.46510193,0.47595814,0.4880651,0.49385357,0.48656225,0.47160617,0.4644427,0.4752437,0.4963143,0.50807816,0.5001258,0.47898653,0.4624395,0.4590659,0.466279,0.47444367,0.47949147,0.481113,0.4803903,0.47579923,0.4682137,0.46180546,0.46404347,0.47519124,0.4857781,0.47928318,0.4503423,0.41172847,0.38599035,0.38472506,0.40001586,0.4183054,0.43377912,0.4522597,0.47424164,0.49031255,0.48577407,0.46168843,0.4376849,0.4375701,0.46413258,0.4947969,0.503125,0.48311743,0.45201468,0.4298749,0.4219804,0.4200503,0.41540375,0.40855625,0.40515777,0.40930918,0.41919276,0.43272614,0.4499235,0.47232473,0.49318135,0.4985789,0.47655544,0.4337598,0.39402238,0.38132238,0.40074816,0.43525222,0.46229482,0.4677948,0.4547085,0.43418577,0.4186335,0.4140317,0.42231238,0.44244313,0.468652,0.48889676,0.48956347,0.46889853,0.4394138,0.4192494,0.4153293,0.4222083,0.4301333,0.43607616,0.4423875,0.45148227,0.46064246,0.46563837,0.46597973,0.46905157,0.48211658,0.5036494,0.51992756,0.5200987,0.50741595,0.49725482,0.49734747,0.4996923,0.4905082,0.46990362,0.45243835,0.45300427,0.4704684,0.49172565,0.50325847,0.50123185,0.48768994,0.46562958,0.43703508,0.40857592,0.39224657,0.40067795,0.43403617,0.47710386,0.5062716,0.50799185,0.48577175,0.45496178,0.42880377,0.41304138,0.40956935,0.4199889,0.44341078,0.4691259,0.47962904,0.4627819,0.4277878,0.40257242,0.41194877,0.4550644,0.504066,0.530025,0.52363604,0.49893096,0.47356227,0.45645157,0.4457555,0.437611,0.43093464,0.42639616,0.4246166,0.42562094,0.43198428,0.44783807,0.47417316,0.50169355,0.5140023,0.49986503,0.46751013,0.43971536,0.43720698,0.46017978,0.4925712,0.51591784,0.5240417,0.52128404,0.51508164,0.5096634,0.5075606,0.51229054,0.5263867,0.5459673,0.560148,0.5588219,0.5412657,0.5147422,0.4864614,0.458285,0.43097177,0.40781954,0.3933842,0.38734046,0.38435912,0.3793892,0.37532997,0.38287476,0.41143715,0.45650125,0.4975023,0.5129623,0.49964115,0.4777591,0.47066495,0.48426715,0.5008199,0.50044173,0.47743607,0.44486365,0.4171817,0.4004493,0.3913797,0.3883016,0.39449802,0.41335884,0.44102553,0.46691218,0.4835861,0.49241427,0.5007574,0.5101347,0.5133613,0.5015213,0.47611967,0.44894984,0.43146825,0.42588672,0.42799613,0.4368278,0.45561886,0.4844397,0.512898,0.5263689,0.51952606,0.503993,0.49860963,0.51144195,0.5321267,0.54242533,0.5347101,0.5161892,0.4997319,0.48931792,0.47965205,0.46324447,0.43890074,0.4110973,0.38543174,0.36526632,0.35383344,0.3563681,0.38041332,0.42614007,0.48285136,0.5287816,0.5490442,0.5428427,0.52407885,0.50551414,0.49113068,0.4771531,0.45912194,0.43768278,0.41725293,0.40329492,0.3986559,0.4041684,0.42118558,0.44852695,0.47820988,0.4940143,0.48431918,0.45201454,0.41416642,0.38671592,0.37436327,0.37128007,0.37063214,0.37054744,0.37454668,0.38675037,0.40894923,0.43919662,0.4746329,0.51076037,0.5406564,0.5553253,0.5515568,0.5374957,0.52848727,0.53164476,0.53826743,0.53034997,0.49995768,0.45499673,0.41250154,0.3823297,0.3647313,0.3565084,0.35927153,0.37747097,0.4110535,0.45163962,0.48747444,0.51169395,0.52605075,0.53345436,0.53097314,0.5098344,0.46908888,0.42279354,0.3927753,0.39088237,0.41023088,0.43590486,0.45797348,0.47747084,0.49371943,0.49840617,0.4784989,0.43692413,0.39697954,0.38854894,0.4188509,0.46631542,0.5010603,0.51261497,0.51451,0.5233069,0.5397039,0.5491255,0.54035455,0.5173915,0.4924263,0.47021195,0.44243893,0.40362445,0.36381233,0.3446436,0.35479143,0.37989378,0.39540386,0.39290333,0.38638127,0.39349094,0.41435096,0.43032792,0.4275547,0.41137508,0.4008998,0.40430617,0.41129056,0.40727305,0.39394614,0.38902795,0.4042116,0.4308138,0.44713917,0.44362354,0.43155184,0.4299346,0.44280627,0.45570573,0.45389912,0.43974033,0.43034568,0.435886,0.447348,0.445326,0.42340016,0.3966169,0.38602975,0.3950068,0.4044409,0.3948951,0.36838225,0.3469434,0.34641,0.3597518,0.36707368,0.3607873,0.35436723,0.36396846,0.3883374,0.40876734,0.41314304,0.4091153,0.41530254,0.436777,0.45932522,0.46644697,0.45846143,0.4502443,0.4482839,0.44067144,0.409286,0.35786578,0.31557152,0.31481457,0.35973418,0.422001,0.4668101,0.48059273,0.47632405,0.47133276,0.47026408,0.46573696,0.45530343,0.44809267,0.45329884,0.46641555,0.46863726,0.4464285,0.40221906,0.3530062,0.31265303,0.2854242,0.26717782,0.2543452,0.2464239,0.24487197,0.24919204,0.25551987,0.25718668,0.24838299,0.22709703,0.19675148,0.16357401,0.1330591,0.10763673,0.08753016,0.0732469,0.06613773,0.06770277,0.077266365,0.09154826,0.105684996,0.115949,0.12137425,0.12282479,0.12115132,0.11628803,0.10840782,0.09875219,0.08938304,0.082021855,0.07726846,0.07470536,0.0735766,0.07389759,0.07658947,0.08277827,0.0921202,0.10247589,0.110692404,0.11452653,0.113482,0.108717375,0.10193819,0.09461317,0.08748462,0.08072187,0.07413753,0.06766874,0.061470192,0.055816248,0.050523985,0.044803157,0.037842516,0.02987512,0.022709792,0.01866378,0.019105563,0.023334766,0.029264906,0.034383476,0.036961462,0.03633235,0.033051338,0.028387697,0.023763878,0.020114256,0.01773014,0.016392723,0.015684582,0.015189222,0.014623202,0.013835828,0.012804203,0.011549484,0.010127671,0.008586912,0.0070067705,0.005480673,0.004124792,0.0030318296,0.0022456236,0.001743325,0.0014500817,0.0012787826,0.0011593113,0.0010583351,0.00096764904,0.0008919183,0.00083358336,0.0007909557,0.0007595245,0.0007348072,0.0007134076,0.00069198105,0.0006683313,0.00064142654,0.0006129879,0.00058543246,0.0005599468,0.0005343658,0.00050468673,0.00046783758,0.0004225902,0.0003684942,0.0003060275,0.00024072976,0.00018640472,0.00016061246]