[0.10195768,0.11225424,0.13047826,0.14584865,0.15258785,0.15518121,0.16118492,0.17543776,0.19522355,0.21428704,0.22688442,0.23154259,0.22995341,0.22453426,0.21614955,0.204075,0.18747269,0.16684891,0.14480162,0.12530746,0.11256456,0.10911844,0.1148468,0.12678248,0.14160411,0.15806694,0.17890215,0.20680161,0.2411421,0.27486277,0.30043593,0.31352887,0.3163495,0.31276712,0.3058646,0.2956904,0.28179717,0.2643507,0.24637584,0.2315525,0.22362101,0.22233598,0.22582655,0.23026566,0.23417051,0.23680423,0.23861635,0.23883884,0.23621954,0.22993757,0.22079124,0.21071829,0.2015179,0.19367278,0.18715477,0.18169177,0.17769909,0.17520638,0.1739356,0.17282367,0.17077418,0.16699202,0.16122073,0.1537115,0.14511399,0.13648723,0.12887518,0.12261831,0.11745586,0.112762325,0.10856364,0.10495413,0.10227782,0.10034151,0.09901166,0.09798613,0.09717991,0.09657285,0.09614261,0.09593447,0.09582011,0.09592039,0.09881392,0.112283505,0.14845115,0.21183972,0.2877544,0.34317756,0.34972575,0.30566823,0.23566963,0.16976197,0.12221422,0.09165031,0.06993187,0.0523973,0.03747504,0.025627548,0.01707039,0.01174798,0.009021309,0.007865551,0.0072821626,0.0066055623,0.0056936606,0.0047020507,0.0038513949,0.003193863,0.002673345,0.00222421,0.0018535745,0.0015939075,0.0014510449,0.0013946658,0.0013839876,0.0013863699,0.001376072,0.0013386529,0.0012853815,0.001256591,0.0012989554,0.0014219094,0.0015842579,0.0017128232,0.0017582179,0.001712805,0.0016076745,0.0014676937,0.0013068883,0.0011285312,0.00095013995,0.0007879734,0.0006490417,0.00052217674,0.00040146997,0.000300872,0.00025416425,0.00031756793,0.00056743226,0.0011050779,0.002754873,0.008229855,0.023393437,0.054557357,0.10354898,0.1624081,0.21698296,0.25512958,0.2753197,0.28471848,0.29183745,0.29993948,0.307667,0.31387928,0.31957376,0.3265537,0.33405113,0.33921692,0.339348,0.3339584,0.3245395,0.3126568,0.29944512,0.28514814,0.27006042,0.25436124,0.23899026,0.22534002,0.21499407,0.20799077,0.20287825,0.19738813,0.1909494,0.1846451,0.18037815,0.17838411,0.17729877,0.17505424,0.1709448,0.16553853,0.1601557,0.15541624,0.15156575,0.14836079,0.14571613,0.14309745,0.1401533,0.13664244,0.13312328,0.12996782,0.12736858,0.124744706,0.12190405,0.11925179,0.11864046,0.12256541,0.13284536,0.14834042,0.16432764,0.17557164,0.18242222,0.19435652,0.22450025,0.2755462,0.3317246,0.36681545,0.36592638,0.33668032,0.30086222,0.27475604,0.26008013,0.24998598,0.23897898,0.22710048,0.2169698,0.21050991,0.20708649,0.20393796,0.19775283,0.18676758,0.17255019,0.15958007,0.15316083,0.15562694,0.16456413,0.17354177,0.17657441,0.17138846,0.16015007,0.14635979,0.1321723,0.11731452,0.1008144,0.08339763,0.06947286,0.06525185,0.07414649,0.091726564,0.10728114,0.11007761,0.09699019,0.07329967,0.048792053,0.031550482,0.024943696,0.028386114,0.040172365,0.061030686,0.09195284,0.13142228,0.17104141,0.20117117,0.21596539,0.21836811,0.21430655,0.20774902,0.1981641,0.18476947,0.16997515,0.15863247,0.15482862,0.15955997,0.17249067,0.19319856,0.22110705,0.25222534,0.27920806,0.2931368,0.2898136,0.27112105,0.24566507,0.22224282,0.20708013,0.19974546,0.19663928,0.19314604,0.18788128,0.18164752,0.1763469,0.17244065,0.16945887,0.16721682,0.1681624,0.17594121,0.19232684,0.2130707,0.23062474,0.2388163,0.23784478,0.23177652,0.22513579,0.2198288,0.21632904,0.21434586,0.21336949,0.2121198,0.20916902,0.20348443,0.19500631,0.18447958,0.17327361,0.16325028,0.1558885,0.15175398,0.14985776,0.1492002,0.14890237,0.14872395,0.1476546,0.14488786,0.14006822,0.13391292,0.12709801,0.11984217,0.11230716,0.10486209,0.098313116,0.09302121,0.09103047,0.09722826,0.1195929,0.16044886,0.20976615,0.24576055,0.25074223,0.22409803,0.18161242,0.14106831,0.110500455,0.08866196,0.071396716,0.056471642,0.043377,0.032253508,0.023343584,0.01678059,0.012451713,0.009868149,0.008401638,0.0075008306,0.006795546,0.0061392616,0.0055451565,0.005102904,0.004847294,0.0047246725,0.0046511795,0.0045643323,0.0044191764,0.0041541816,0.0037620228,0.0033242926,0.002995461,0.0028524722,0.0028508303,0.0028487255,0.0027419433,0.002513923,0.0022370454,0.0019912957,0.0018134904,0.0016858483,0.0015928396,0.0016788853,0.0024681874,0.0050678933,0.010890592,0.020969203,0.03505877,0.051617235,0.06924,0.08852228,0.11285772,0.14485258,0.18250918,0.21714671,0.23958755,0.24638934,0.24284907,0.23727739,0.23475808,0.23480004,0.23408633,0.2308706,0.22709902,0.22795719,0.23777024,0.2559617,0.27623254,0.29107583,0.29693174,0.29518712,0.28912976,0.27976033,0.26575175,0.2445737,0.2162544,0.18365537,0.15247796,0.12896232,0.119330116,0.12900533,0.15931758,0.20466103,0.25199774,0.2886075,0.30799797,0.3124845,0.3072714,0.29645965,0.28127846,0.2624717,0.24179912,0.22152503,0.20317799,0.18613021,0.16929841,0.15208128,0.1358141,0.12209947,0.11226813,0.106105946,0.10245719,0.09955879,0.096289076,0.09232717,0.08804101,0.083762914,0.07991305,0.076788425,0.07454396,0.07295736,0.07171115,0.070809506,0.07025573,0.070086665,0.07017746,0.07318961,0.08601292,0.11923981,0.17630775,0.24560396,0.30071136,0.31954515,0.2992376,0.25767943,0.21659397,0.18816583,0.17253304,0.16466641,0.16005765,0.15637271,0.15296705,0.15008442,0.14835249,0.1482233,0.14971721,0.15212323,0.15407878,0.153898,0.15116341,0.14841722,0.15158127,0.16647375,0.19361271,0.22545977,0.2494039,0.25469932,0.23777807,0.20486544,0.1694597,0.14710015,0.1453176,0.15771818,0.16662413,0.15652347,0.12535658,0.08478666,0.04969673,0.0287133,0.022953846,0.031035997,0.052660733,0.08680079,0.12819523,0.16655606,0.19194455,0.199821,0.19306235,0.1780835,0.16159588,0.149233,0.14573258,0.15354924,0.17068712,0.19120069,0.20883314,0.22166644,0.2330566,0.24891996,0.2718378,0.29846385,0.32016802,0.3299403,0.32611537,0.31337345,0.29696104,0.2798673,0.26209012,0.24386089,0.22663803,0.21274215,0.20397143,0.20175405,0.20728074,0.22103079,0.2406315,0.26072302,0.27478352,0.27909663,0.27445924,0.26447603,0.2529959,0.24118637,0.22905892,0.21515608,0.19964136,0.18303584,0.16806471,0.15687986,0.15144648,0.15086688,0.15316351,0.15518057,0.15555869,0.15407443,0.15209937,0.15089373,0.15224485,0.1577687,0.16844247,0.18253277,0.19660299,0.20719779,0.21431266,0.21929121,0.22340013,0.22470176,0.22186108,0.21482635,0.20674811,0.20002697,0.19625954,0.19508623,0.19579966,0.19689429,0.19830777,0.20418169,0.22396915,0.26380005,0.31550863,0.35431215,0.35585475,0.31588504,0.2535537,0.19472851,0.15323406,0.12825556,0.11241586,0.10096651,0.09280924,0.08865584,0.0887875,0.09246287,0.09801916,0.10330468,0.10641346,0.106178164,0.10245731,0.09611771,0.08880738,0.082260855,0.07754893,0.074659646,0.07306377,0.072300695,0.072203256,0.07224087,0.07122921,0.06756699,0.060262118,0.049702182,0.037743445,0.026930362,0.019279132,0.015734905,0.01584121,0.018294508,0.02108516,0.022711406,0.022867119,0.023071261,0.025610154,0.031731125,0.040345743,0.04829094,0.05294418,0.05409086,0.054210227,0.055853467,0.05970597,0.06429281,0.06770884,0.06903007,0.06977063,0.074173704,0.08917576,0.118929245,0.16105618,0.20417972,0.23671824,0.2527798,0.25591138,0.2521822,0.2460015,0.23820584,0.22897811,0.21940005,0.21134908,0.20633078,0.2046118,0.2051907,0.20638871,0.20655842,0.20460773,0.20014171,0.19352686,0.18557338,0.17729397,0.16912599,0.16133948,0.15371563,0.14667366,0.14053299,0.1360938,0.13350017,0.13252248,0.13227977,0.13180205,0.13070737,0.12915923,0.12810321,0.12821065,0.13010138,0.1337117,0.1388693,0.14446656,0.14928244,0.15204291,0.15315688,0.15355296,0.15463942,0.15632321,0.15832967,0.15971224,0.16041394,0.16027915,0.15986286,0.15942581,0.15966767,0.1610618,0.16411497,0.16838473,0.17377995,0.18260263,0.20145546,0.23644984,0.28513262,0.33223668,0.3586954,0.35556293,0.3304369,0.29899547,0.27268988,0.25312284,0.23546045,0.21550088,0.1937998,0.17646813,0.16925228,0.17292196,0.18161434,0.18890284,0.19208123,0.1925842,0.19237041,0.19222386,0.192316,0.1931098,0.19481957,0.19720358,0.19952142,0.20155175,0.20274216,0.20270817,0.20077014,0.19777982,0.19520456,0.19459744,0.19481075,0.19237733,0.18330508,0.16700937,0.1472856,0.1299932,0.11883706,0.11302713,0.10852414,0.10105813,0.08976239,0.07861879,0.0757303,0.0891005,0.12117354,0.16612743,0.2115178,0.24586618,0.26350093,0.26704416,0.26218772,0.25454387,0.24618421,0.2372876,0.2269734,0.21581857,0.20637625,0.20239545,0.2059253,0.21503334,0.22495498,0.23140083,0.23398952,0.23561533,0.23997833,0.24807465,0.2578329,0.26495168,0.2654259,0.25685507,0.2399704,0.21850146,0.19809426,0.18314977,0.17485546,0.17108612,0.16885878,0.16641998,0.16361259,0.16139509,0.16066599,0.16294849,0.16909729,0.1791498,0.19042899,0.19941501,0.20320547,0.2014154,0.19548808,0.18695325,0.17691714,0.16550864,0.15359522,0.14243464,0.13398999,0.12896474,0.12655586,0.12485144,0.12249923,0.119615875,0.11724719,0.11626772,0.11648808,0.11692818,0.11675457,0.115902096,0.11510276,0.11497813,0.11558732,0.116275765,0.116429985,0.117486715,0.125142,0.14927301,0.19591713,0.25698993,0.30805323,0.32304713,0.29391897,0.2357133,0.17318684,0.122692905,0.08739069,0.06300935,0.045541015,0.032997444,0.024486272,0.01916477,0.01616441,0.014593669,0.013707731,0.013050098,0.0125438245,0.012191617,0.011863169,0.011316565,0.010458771,0.009488127,0.008694033,0.008205369,0.007898153,0.0076056304,0.0072772005,0.0069690105,0.0067017223,0.006443409,0.006199574,0.006081034,0.006206773,0.006606702,0.0071999594,0.0078668175,0.008463086,0.008823096,0.008802711,0.008368046,0.0076220594,0.0067454963,0.005925395,0.005288631,0.0048697847,0.0045784526,0.0042846706,0.0038985705,0.0034419282,0.0029780783,0.0027036443,0.0035526894,0.0077443947,0.018669583,0.03824762,0.06488425,0.09242308,0.11458206,0.12877218,0.13979001,0.15657282,0.18700485,0.23037942,0.27500057,0.3020375,0.29565993,0.2530844,0.18705143,0.11865574,0.06540819,0.03476004,0.026569963,0.039293036,0.07024938,0.1106926,0.14457536,0.15718235,0.14626572,0.12271366,0.100640126,0.08736838,0.083916835,0.09171925,0.11425028,0.15238094,0.19789048,0.23760629,0.260892,0.26713422,0.26249027,0.25458556,0.24732132,0.24150918,0.23632222,0.23117165,0.22600913,0.22132654,0.21783741,0.2164203,0.21874076,0.22651602,0.24030168,0.25705984,0.27099112,0.2753429,0.26624674,0.24385768,0.21263339,0.17885184,0.14856414,0.12511668,0.109505266,0.101370044,0.10212696,0.11402585,0.1380499,0.16912311,0.19787186,0.21452105,0.21546793,0.20447879,0.19167018,0.18774772,0.1978395,0.21741505,0.23591541,0.24458444,0.24107482,0.22701742,0.2038514,0.17275976,0.13846783,0.10968745,0.095505424,0.09768146,0.10862097,0.1144102,0.10544801,0.08243743,0.055784006,0.03631643,0.029200586,0.03371496,0.04889831,0.07496059,0.1110371,0.15039729,0.1826783,0.19870287,0.19622713,0.17914261,0.15490945,0.13131125,0.11517069,0.11071474,0.11804682,0.13290793,0.14861393,0.15922295,0.16162306,0.15575035,0.1434194,0.12738647,0.110801525,0.09662998,0.086749904,0.08130322,0.0788498,0.07711613,0.07393768,0.06793304,0.058880713,0.047608197,0.037707176,0.038275916,0.06720427,0.14430884,0.27676094,0.44294837,0.5964833,0.69056773,0.70458055,0.65294886,0.56743294,0.4796785,0.40728197,0.35783064,0.32921413,0.31563273,0.3087488,0.30289057,0.29600224,0.28917372,0.2839693,0.28023374,0.27661502,0.2720523,0.26838598,0.26951215,0.2794138,0.29780403,0.31950498,0.33620873,0.34223363,0.33734235,0.32636395,0.31434226,0.30342516,0.29238483,0.27979866,0.26598963,0.25337502,0.24403101,0.23883997,0.2370819,0.23798625,0.2407413,0.24535246,0.25277743,0.2649154,0.28230056,0.30215403,0.31887794,0.3283067,0.33001527,0.32664755,0.319694,0.30875382,0.29335964,0.276091,0.2625775,0.2575675,0.2625703,0.27517208,0.29346803,0.31435856,0.33283734,0.33966002,0.33082196,0.3107023,0.29116955,0.2785354,0.2713989,0.2637404,0.25362015,0.2426889,0.23308313,0.22461991,0.2155446,0.20440765,0.19052596,0.17428654,0.15652837,0.13859834,0.122077346,0.10813322,0.096758135,0.08636174,0.075526506,0.0641158,0.05364515,0.045292262,0.040001158,0.03960752,0.04879074,0.07170031,0.10770619,0.14802182,0.18149966,0.20112832,0.20876469,0.21049307,0.21095628,0.20973265,0.20407295,0.19345528,0.18199857,0.17621876,0.18005998,0.19196893,0.20610178,0.21652202,0.21938384,0.2127638,0.19486697,0.16536112,0.12712078,0.087403156,0.05467668,0.03579383,0.034473892,0.05281074,0.09345901,0.16116755,0.26237896,0.396446,0.5476494,0.6805215,0.75854486,0.7603013,0.6962243,0.5934141,0.48595595,0.39420608,0.32909492,0.2880999,0.2663629,0.25560609,0.25109679,0.24934201,0.24946415,0.25034475,0.2508997,0.25052473,0.24968703,0.24927442,0.24896926,0.24767162,0.24468894,0.24098635,0.23806147,0.23671788,0.23628235,0.23553544,0.23365451,0.2311124,0.22981572,0.23196007,0.23864494,0.2479613,0.25622404,0.25926134,0.25544998,0.24530317,0.2316797,0.21803518,0.2086144,0.20706524,0.21530296,0.23175772,0.25136256,0.2682974,0.27867463,0.2825495,0.28189528,0.27914092,0.27538487,0.271125,0.26652417,0.26184788,0.25824356,0.25835934,0.2664905,0.28364012,0.30348253,0.31177875,0.29669067,0.25784373,0.20831907,0.16378872,0.13294755,0.11546799,0.10938955,0.1150946,0.1337419,0.16097867,0.18793344,0.20597023,0.21325308,0.21333526,0.21133246,0.20926124,0.20610088,0.19915946,0.18659383,0.16839726,0.14691764,0.12548368,0.1068115,0.09105086,0.07645296,0.061344862,0.046818543,0.03595455,0.031365883,0.032993823,0.03949432,0.050687205,0.067489326,0.08953544,0.11311939,0.13342702,0.14763492,0.15629849,0.1613865,0.1639248,0.16382666,0.16030414,0.15299924,0.1419487,0.12864843,0.115513675,0.10473656,0.09612132,0.08731819,0.07565039,0.06052677,0.043789238,0.028478557,0.01802321,0.01897795,0.044794817,0.115179025,0.24143189,0.4111775,0.5820909,0.7047016,0.746793,0.71124035,0.62364453,0.51744837,0.41774115,0.33974624,0.28793478,0.25974125,0.24837564,0.24720293,0.2517215,0.2589381,0.26633945,0.27140978,0.273389,0.27256095,0.27008903,0.2657063,0.25954047,0.25206438,0.24593,0.24410337,0.24907716,0.26060638,0.2754095,0.28846788,0.2959298,0.29711094,0.29433894,0.29058626,0.287721,0.2849572,0.28053018,0.2736878,0.26729247,0.26533842,0.26925778,0.27502605,0.27702472,0.27263388,0.26499712,0.2596333,0.26106736,0.27003756,0.28395236,0.2977303,0.3060967,0.3056233,0.296152,0.28021815,0.2616907,0.24434894,0.23270112,0.23193397,0.24653931,0.2738435,0.3029031,0.31832597,0.31318304,0.291097,0.26244774,0.23165004,0.19739251,0.15657961,0.112643935,0.07415186,0.05101162,0.049538944,0.069401324,0.10294262,0.13595217,0.15550338,0.1558794,0.1423394,0.12420822,0.10953101,0.10109677,0.100296296,0.10807156,0.12593566,0.15200783,0.18199122,0.20890523,0.22721165,0.2325509,0.22362001,0.20245652,0.17565005,0.15191221,0.13594557,0.124940716,0.11111202,0.09030393,0.06609359,0.046492666,0.036528077,0.035892274,0.042682737,0.058338296,0.08554924,0.123136126,0.16138685,0.18786924,0.1937253,0.17993738,0.15353894,0.1248553,0.10313141,0.09692823,0.110401474,0.14185522,0.18434782,0.23443292,0.29922557,0.38995385,0.5074058,0.6274149,0.7141547,0.7387123,0.70054275,0.6197145,0.5255136,0.44008026,0.37638107,0.3372983,0.31906104,0.3135909,0.31287065,0.310925,0.3049663,0.29472378,0.28233173,0.27107894,0.26398316,0.26325682,0.26998773,0.2839209,0.30188224,0.318357,0.32764736,0.32692078,0.31706843,0.3015877,0.28461835,0.2695166,0.25786093,0.2500204,0.24573453,0.24515319,0.24820529,0.2538911,0.26030704,0.26526132,0.26750496,0.26632166,0.2618221,0.25498495,0.24800687,0.24328299,0.24153149,0.2416454,0.24195786,0.24221866,0.2430992,0.24460964,0.2454663,0.24440955,0.24190356,0.2392893,0.23735388,0.23681283,0.2412252,0.25719556,0.28656292,0.31962135,0.33703053,0.32719052,0.29617038,0.26400176,0.24464566,0.23737024,0.230467,0.21455961,0.18795145,0.15561365,0.12513547,0.103243284,0.094335996,0.09901553,0.11545026,0.13898249,0.16340125,0.18182866,0.19073309,0.19161113,0.19003706,0.19126199,0.19709264,0.20497656,0.20980412,0.20656757,0.19351517,0.1732722,0.15163423,0.13386194,0.12231902,0.115908556,0.11261991,0.112131484,0.11825969,0.13641892,0.16826223,0.20612653,0.23618783,0.24777375,0.24135791,0.2268399,0.21463637,0.2093016,0.2090943,0.210851,0.21256244,0.2145467,0.21699776,0.21922375,0.21841137,0.21221875,0.200442,0.18684135,0.17899103,0.18817924,0.22970395,0.31451786,0.4394146,0.5766051,0.6860973,0.73404676,0.71292543,0.63902766,0.5412893,0.44671762,0.37260184,0.32511556,0.30026755,0.29086196,0.28948614,0.29196975,0.29392186,0.29209402,0.28447744,0.2732118,0.26282135,0.25812078,0.26237705,0.27625597,0.29786292,0.32160905,0.34034204,0.34837532,0.34518972,0.33533707,0.32517037,0.3191775,0.3178703,0.3185166,0.317114,0.31086516,0.29964232,0.28555486,0.2714697,0.2594457,0.2502718,0.24395715,0.24017347,0.23886941,0.23968309,0.24188377,0.24394882,0.24451716,0.2432483,0.2409919,0.23930156,0.23877655,0.2395247,0.24125813,0.24505955,0.2518265,0.26121983,0.27128053,0.2810491,0.29301342,0.3083918,0.3231585,0.32509306,0.30534664,0.26454896,0.2162075,0.17427576,0.14638719,0.13003151,0.119162224,0.109059535,0.099366635,0.09247157,0.090477325,0.093104474,0.09724211,0.09915457,0.09696076,0.09328357,0.09340005,0.1013957,0.11495304,0.12718166,0.13094692,0.12443998,0.109862514,0.091002025,0.07055358,0.050926264,0.034376428,0.022577355,0.015677227,0.0125982575,0.012051267,0.013193552,0.01556911,0.018792173,0.02268668,0.02748608,0.033471253,0.03984989,0.04438981,0.04447404,0.03936023,0.030781182,0.02191724,0.015174888,0.011792132,0.012977645,0.021557085,0.04178402,0.075818576,0.11980208,0.16264607,0.19147806,0.19905776,0.19031088,0.18227448,0.20016615,0.26388624,0.37485066,0.5070422,0.6202465,0.68075275,0.6793368,0.6290452,0.5537035,0.4765282,0.413416,0.3707116,0.34475872,0.327697,0.312762,0.2987245,0.2867609,0.27876592,0.2735418,0.26936078,0.26368666,0.2569647,0.25148943,0.25094858,0.25634143,0.2650969,0.2720189,0.27263224,0.26433778,0.24755447,0.22527148,0.20396672,0.1902423,0.18756866,0.19284163,0.19926216,0.20110303,0.19815236,0.19428317,0.19397014,0.19782954,0.20381242,0.20903482,0.21460569,0.22335596,0.23757584,0.25366363,0.2652364,0.2671558,0.26031032,0.25002939,0.2418067,0.23858392,0.23996735,0.24438746,0.249892,0.25515774,0.26035634,0.26723066,0.27894768,0.2959551,0.31370202,0.32231817,0.31364498,0.28744522,0.25263742,0.22029378,0.19617808,0.1788838,0.16376992,0.14754796,0.1294474,0.11109933,0.09629649,0.091161676,0.10067909,0.12459912,0.155236,0.18191181,0.1962971,0.19555576,0.18072899,0.15612304,0.12955184,0.11102986,0.10689515,0.11442683,0.1240262,0.12725438,0.1234949,0.11764267,0.11432526,0.11390954,0.114192836,0.11267228,0.10736475,0.09674716,0.080899194,0.06316536,0.049673747,0.046049505,0.05495395,0.07517639,0.10330168,0.13353889,0.15893751,0.17334813,0.17474419,0.16568027,0.15061527,0.13316248,0.115057945,0.09717206,0.08004437,0.064114645,0.050276082,0.042249683,0.05021255,0.09077585,0.17946689,0.315558,0.474907,0.61534786,0.70000905,0.71089655,0.65719074,0.5614976,0.4538426,0.35671028,0.2856674,0.24409954,0.22934009,0.23176755,0.23975044,0.24249168,0.23581772,0.22262937,0.20917107,0.19990139,0.19541657,0.19408768,0.19470958,0.19846739,0.20904028,0.22941987,0.2585571,0.28940383,0.3135837,0.32607093,0.32816774,0.32388055,0.31665042,0.30764794,0.29684997,0.28370556,0.26733103,0.2478088,0.2270817,0.2090138,0.19639929,0.18959548,0.1859492,0.18320434,0.18099995,0.18283649,0.19281591,0.21295626,0.23952103,0.26538283,0.2838216,0.29245976,0.29275563,0.28731272,0.27814433,0.2662746,0.2535102,0.24306963,0.24008729,0.24721389,0.26038766,0.26718998,0.25578454,0.22481804,0.18738985,0.1609459,0.15574497,0.16879582,0.18973349,0.20797302,0.217844,0.21765287,0.20838982,0.19254752,0.1735125,0.1539682,0.13446288,0.11462437,0.0961906,0.08480644,0.08699868,0.10486167,0.13323209,0.16285406,0.18607326,0.20043166,0.20774752,0.21140258,0.2138511,0.21578883,0.21585445,0.21226175,0.20437841,0.19440816,0.18578525,0.1813299,0.18117557,0.1837067,0.18679236,0.18973155,0.19357568,0.20082782,0.21291822,0.22826664,0.2417093,0.2480213,0.24526983,0.23614751,0.22499925,0.21456708,0.20472193,0.19363551,0.17953838,0.16092941,0.13713637,0.109728,0.08768791,0.08935692,0.13911802,0.24958843,0.4083723,0.57268625,0.6934767,0.7359391,0.6994486,0.60641354,0.49344572,0.39052653,0.31647703,0.2726752,0.2520438,0.2445483,0.24379338,0.24578083,0.24855125,0.25127354,0.2540088,0.25654313,0.25767934,0.25609866,0.25066903,0.24091189,0.22659528,0.20969534,0.19467022,0.18720073,0.18951237,0.19860196,0.20840192,0.21458288,0.21678258,0.21695107,0.21687223,0.21679306,0.21613301,0.21453948,0.21288198,0.21292728,0.21589689,0.22093476,0.22535461,0.22627462,0.22253998,0.21499503,0.20588529,0.19743055,0.19096665,0.18647312,0.18303798,0.17968673,0.17544611,0.16886596,0.15754388,0.14013205,0.11846051,0.097996436,0.08398188,0.07811072,0.07793565,0.080193095,0.08358281,0.08974186,0.10261551,0.12530267,0.1570061,0.19020776,0.21505743,0.22453527,0.21924888,0.20462291,0.18729429,0.17189972,0.16082723,0.1543435,0.15072428,0.14738959,0.14244004,0.13606612,0.13030042,0.12755047,0.12899019,0.13376175,0.1395519,0.14382742,0.14509891,0.14350373,0.14026543,0.13677828,0.13357614,0.13040225,0.12657087,0.12165758,0.11546009,0.10783386,0.09880083,0.089340925,0.081891924,0.0792932,0.082667656,0.09026483,0.098367564,0.103345126,0.10297834,0.0975691,0.0903592,0.08654564,0.08980196,0.09898013,0.10884538,0.113890804,0.11224383,0.104987204,0.09402353,0.08036828,0.068985984,0.07308484,0.11659494,0.21639018,0.3671898,0.5271903,0.6458933,0.68639493,0.6528423,0.5702136,0.47226456,0.37997064,0.30773413,0.2607121,0.23832065,0.23268615,0.23432784,0.2371164,0.23963737,0.24227251,0.24426697,0.24430948,0.24264276,0.241156,0.24153371,0.2435375,0.24595787,0.24772848,0.24856277,0.24825905,0.24711595,0.2460307,0.24632154,0.24823062,0.25095865,0.2532363,0.25478643,0.25551042,0.25527135,0.25326845,0.24965155,0.24518178,0.2412668,0.23839177,0.2369042,0.23671788,0.23766708,0.2384413,0.23756777,0.23446453,0.23026896,0.22661835,0.22436135,0.2234834,0.22375351,0.2250616,0.2269045,0.22858417,0.23006214,0.23352766,0.2428179,0.26092574,0.2841659,0.30185577,0.3005991,0.27626994,0.23669918,0.19817533,0.17280589,0.16397077,0.16629475,0.17219931,0.17623651,0.17745979,0.17830037,0.18157347,0.18848242,0.19814019,0.20893528,0.21941622,0.22945412,0.24017508,0.25334105,0.26832843,0.2819995,0.28949645,0.28916606,0.2823006,0.27322164,0.26526704,0.26148543,0.2628413,0.26864552,0.2755133,0.279848,0.2801065,0.27756426,0.27445912,0.271582,0.2681435,0.26307526,0.2564645,0.24964947,0.24409394,0.24073578,0.23941869,0.2394356,0.23964368,0.23905653,0.23701733,0.23352648,0.22936712,0.22564594,0.2233401,0.2224607,0.2226479,0.22312093,0.2235287,0.22521214,0.23451205,0.26472417,0.32883725,0.42745432,0.53824043,0.6258977,0.66050816,0.63550246,0.56576973,0.476886,0.39270654,0.32859883,0.28997198,0.27243945,0.26781976,0.26787552,0.2688794,0.26944062,0.2707287,0.2734538,0.27876484,0.28588983,0.29345503,0.29866487,0.2997029,0.29614127,0.29019806,0.28487492,0.2823793,0.2826058,0.2842224,0.2857598,0.28631338,0.2853315,0.28244522,0.2775726,0.27072576,0.2621578,0.25272498,0.24411304,0.23814262,0.23563896,0.23567344,0.23631947,0.23546086,0.23225991,0.22711726,0.22182393,0.2182014,0.2173058,0.21869399,0.22100747,0.2229587,0.22403997,0.22446692,0.224593,0.22449549,0.22397934,0.22384141,0.22668366,0.2370251,0.25583145,0.27714372,0.28730884,0.2759089,0.24323843,0.20252073,0.16931319,0.15229039,0.14968996,0.154399,0.16107269,0.1693977,0.18156262,0.19755755,0.21291709,0.22264838,0.22504742,0.22437668,0.22622974,0.23445658,0.24732865,0.26147887,0.27448323,0.2878846,0.3029453,0.3168339,0.3219441,0.3120232,0.2882078,0.2591828,0.23450936,0.21811865,0.20739181,0.19750594,0.18588698,0.17270677,0.1596424,0.1484857,0.14099862,0.13800053,0.13864905,0.1418885,0.14882262,0.16323818,0.18795024,0.22075802,0.25457105,0.28153542,0.29728353,0.30110618,0.29406407,0.27751854,0.25385097,0.22707891,0.20226908,0.18342368,0.17362748,0.17785637,0.20726757,0.27470055,0.38272855,0.5111293,0.6222191,0.6802197,0.67116874,0.6061037,0.5099618,0.40962324,0.32567558,0.27100936,0.24721684,0.24714725,0.25726458,0.2666975,0.2702438,0.2697293,0.26841822,0.26805854,0.26772496,0.26632705,0.26430106,0.26354036,0.26566675,0.27055547,0.2756544,0.277377,0.27257302,0.26096836,0.24517018,0.23000126,0.21924524,0.21387802,0.2117516,0.21050519,0.20938437,0.20932283,0.21037668,0.21152203,0.21161355,0.21109284,0.210772,0.21016645,0.20797974,0.20377924,0.19976206,0.19845414,0.20070583,0.2043022,0.20613573,0.20480339,0.20189846,0.20084774,0.2044114,0.2121088,0.22067504,0.22640611,0.22984521,0.23609425,0.24925907,0.26688778,0.27857503,0.2775031,0.2645906,0.25014064,0.24028575,0.2355942,0.23068751,0.22340085,0.21410231,0.20510261,0.19751692,0.19264507,0.19191885,0.19587956,0.20225556,0.2067887,0.2060796,0.200145,0.19197945,0.18555312,0.18361975,0.18712097,0.19468696,0.20311274,0.20807946,0.20577258,0.19435005,0.17493968,0.15208298,0.13200799,0.12006197,0.117358364,0.12099158,0.12576349,0.12786616,0.12637109,0.12429037,0.12779222,0.14331563,0.1734448,0.21298139,0.25178242,0.27947438,0.29236588,0.29284418,0.2873605,0.28093314,0.27614173,0.27275074,0.27029097,0.26835954,0.266885,0.26462844,0.25986135,0.2524301,0.24764372,0.25822422,0.3002753,0.38137946,0.49057364,0.59584165,0.6627312,0.6687541,0.6198371,0.53670305,0.4490788,0.37476587,0.32321858,0.29014438,0.26919436,0.25225338,0.23642664,0.2215571,0.21006335,0.20350467,0.20205478,0.20451735,0.20925717,0.21497339,0.22152753,0.22965932,0.24016531,0.2515909,0.2611492,0.26615742,0.26694846,0.26583397,0.26503393,0.26473132,0.26374733,0.2616156,0.25905523,0.25696924,0.25487104,0.25160763,0.24662942,0.24090993,0.23579389,0.23249497,0.2319923,0.23513566,0.24181215,0.24981333,0.25602075,0.2579151,0.25551972,0.25060388,0.2454402,0.24149394,0.23848873,0.2352476,0.23007508,0.22285812,0.21525235,0.21086146,0.21413827,0.22669703,0.24420267,0.2550109,0.24890178,0.22618504,0.19990973,0.18501514,0.18564712,0.1945196,0.20117128,0.20179625,0.19827767,0.193332,0.18574728,0.17143969,0.14740299,0.11487708,0.08010468,0.05107446,0.03422134,0.03125045,0.039946772,0.056019675,0.07696003,0.10279282,0.13439673,0.16943848,0.20121126,0.22192697,0.22727524,0.21850307,0.20006788,0.17721693,0.15464434,0.13663648,0.12599531,0.12291028,0.1248491,0.12838973,0.13117856,0.13272488,0.1343165,0.13825051,0.14695595,0.16112195,0.17876291,0.19581942,0.20851338,0.21527612,0.21655856,0.21323167,0.20492266,0.1908366,0.17191885,0.1523583,0.13752139,0.13099575,0.13573706,0.15873261,0.21353233,0.3086095,0.43516636,0.5594234,0.643645,0.6633845,0.624965,0.5496601,0.46464476,0.38615215,0.3241326,0.28001422,0.2525823,0.23710883,0.22908288,0.22505134,0.22377527,0.22520848,0.22924101,0.2344827,0.23825745,0.23771171,0.23170727,0.2219773,0.21206683,0.20532644,0.20266128,0.20311481,0.20492528,0.20746727,0.21064456,0.21438418,0.21762721,0.21934295,0.21915959,0.21793146,0.21698658,0.21726543,0.21859495,0.2194701,0.21807243,0.21320331,0.2056955,0.19746947,0.19075175,0.18575484,0.18145841,0.17618845,0.16981177,0.16334842,0.15850729,0.15656686,0.15779884,0.16161112,0.1665112,0.17090733,0.17373498,0.17620301,0.1828754,0.19936095,0.2260517,0.25382185,0.26790634,0.25990137,0.2343052,0.20524687,0.18401171,0.17331745,0.16892941,0.16689412,0.16645336,0.16880153,0.1742605,0.18134363,0.1882264,0.19438945,0.20065384,0.2080779,0.21654777,0.2260537,0.23731689,0.2519869,0.26914743,0.28446305,0.2921266,0.2899393,0.28093418,0.27080035,0.26387882,0.2614114,0.26236466,0.26484156,0.2671037,0.26824632,0.26804313,0.26665044,0.26421937,0.2613621,0.25887322,0.25794223,0.25958934,0.26526406,0.27459148,0.28525487,0.29256135,0.2942504,0.2908882,0.2859924,0.28189382,0.27987885,0.28044388,0.28364858,0.2886732,0.2929876,0.29484248,0.2932966,0.29187384,0.29838455,0.32827857,0.392684,0.49024197,0.5932972,0.66702837,0.683533,0.64566725,0.572638,0.49113306,0.41586456,0.35316327,0.301254,0.2574839,0.22066224,0.19316696,0.17898034,0.17954342,0.1917445,0.2090094,0.22492576,0.2350332,0.23712502,0.2307126,0.21817738,0.20528112,0.1991406,0.2036398,0.21660781,0.23159713,0.242754,0.24818207,0.24948655,0.24873082,0.24607219,0.24040079,0.23135252,0.2211359,0.2129597,0.20924103,0.20994283,0.21389085,0.21977712,0.22661765,0.2330705,0.2374333,0.23879139,0.23775993,0.23616402,0.23557888,0.23642576,0.2379526,0.23858462,0.23647662,0.22991066,0.21885455,0.20533538,0.19348955,0.18766105,0.1917861,0.20789783,0.23267655,0.25653931,0.26687092,0.26020697,0.24400091,0.23174928,0.22799043,0.22838183,0.2254018,0.21791176,0.20930062,0.20289361,0.19863974,0.19444291,0.1886294,0.18058546,0.17016833,0.15644325,0.13839473,0.11653998,0.094322585,0.07668063,0.067423336,0.067456074,0.07490871,0.08636471,0.09750175,0.10403185,0.102405645,0.09213676,0.077349044,0.06728671,0.07157239,0.09414866,0.12942974,0.16669683,0.19779225,0.22135846,0.2400315,0.25494114,0.26426914,0.26529452,0.25776088,0.24417199,0.2287644,0.21465848,0.20265724,0.19077532,0.17675816,0.15930901,0.1392497,0.11857542,0.1013101,0.092980385,0.09858831,0.11813442,0.14740683,0.18416889,0.23722291,0.3203478,0.439193,0.57457376,0.6911835,0.7530592,0.74533033,0.6759467,0.5721674,0.4666874,0.38503292,0.3358244,0.31243345,0.30266804,0.2977666,0.29382667,0.29011962,0.28652835,0.28376338,0.28177235,0.2797867,0.27660438,0.27254847,0.26970223,0.2700406,0.27307928,0.2757384,0.27502796,0.27100888,0.26664042,0.2653664,0.26788294,0.2722565,0.2752793,0.27543426,0.27325723,0.27132487,0.27185795,0.27564698,0.28093633,0.28499445,0.2855927,0.2827467,0.27818158,0.27423128,0.27201185,0.27121636,0.27045378,0.2687914,0.2663912,0.26466155,0.26498494,0.26752302,0.2707576,0.27256504,0.27171254,0.26860967,0.26587567,0.26732945,0.27726087,0.29406348,0.30986845,0.31071565,0.29028776,0.25211394,0.21038568,0.17601447,0.1541556,0.14309011,0.1406656,0.14499132,0.15391655,0.16454174,0.17361152,0.18015718,0.18445455,0.18749408,0.1883462,0.18596263,0.18039279,0.17335908,0.16615184,0.15877384,0.15161799,0.14671342,0.14646824,0.15062529,0.15558392,0.15687032,0.15263735,0.14463347,0.13704264,0.13314776,0.13422555,0.13829134,0.14254369,0.14439704,0.14444734,0.14655747,0.15641415,0.17703994,0.20453286,0.22970879,0.24412042,0.24684227,0.24315868,0.23922198,0.23711579,0.23626278,0.2357318,0.2356739,0.23583709,0.23586117,0.23544116,0.2353027,0.236139,0.23975329,0.25033954,0.27729282,0.33065414,0.41345978,0.5125584,0.6021964,0.6552303,0.65647656,0.6076086,0.524532,0.43126893,0.3498689,0.2926692,0.25924942,0.24265929,0.2360487,0.23528753,0.23736145,0.23951982,0.24018718,0.23940916,0.23808976,0.2373085,0.23797584,0.24067302,0.24484743,0.24920885,0.25262633,0.25515243,0.25724053,0.25869238,0.25839102,0.25571492,0.2514514,0.2474875,0.24510063,0.24429025,0.24404697,0.24362879,0.24287073,0.242325,0.24266928,0.24462318,0.2480099,0.25167036,0.25358948,0.2527205,0.24970973,0.24656712,0.24461414,0.24354891,0.24194284,0.2388377,0.23467182,0.23109949,0.2300234,0.23235215,0.23729175,0.24356097,0.2513819,0.26431096,0.28445545,0.308641,0.32467833,0.3219519,0.29770666,0.26335907,0.23263116,0.21501894,0.20863873,0.20709968,0.20369154,0.19686987,0.1886903,0.1828233,0.1807969,0.18051694,0.17656285,0.16338883,0.13932714,0.10886603,0.08021187,0.06012237,0.050446942,0.05027416,0.060715314,0.085405074,0.12550668,0.17351939,0.21576035,0.24036725,0.24554478,0.23831527,0.22820468,0.22077425,0.21666427,0.2140485,0.21082681,0.20540772,0.19612098,0.18220395,0.16450219,0.14604022,0.12979375,0.117256366,0.10773662,0.100389004,0.094768494,0.0905655,0.08575317,0.077530585,0.06423413,0.048599556,0.03716966,0.03866054,0.058255613,0.09498319,0.13967709,0.1809274,0.2102231,0.22747941,0.23818849,0.24911137,0.2628636,0.27717757,0.28755358,0.2907003,0.287359,0.27987388,0.27019987,0.25600412,0.23408444,0.20303135,0.16900869,0.14282937,0.13519733,0.1484871,0.17570497,0.2049091,0.22664374,0.23803939,0.24080892,0.23796934,0.23106425,0.22141701,0.21058278,0.20098233,0.19429384,0.1910513,0.19040023,0.1913142,0.19342907,0.19736357,0.20344007,0.21060562,0.21578914,0.21599557,0.20996405,0.1999358,0.19003274,0.1842947,0.18378423,0.18614559,0.18714692,0.18381183,0.1765585,0.16835624,0.16229422,0.15937646,0.15873669,0.15875947,0.15811512,0.15594707,0.15178877,0.14532395,0.13576792,0.12213262,0.10456928,0.086233325,0.07320538,0.07193242,0.08651752,0.11600628,0.15484937,0.1934252,0.22309966,0.23877545,0.24124168,0.233332,0.21765763,0.19530211,0.1689444,0.14454639,0.12967284,0.12784353,0.13477416,0.14080817,0.1384545,0.1274833,0.113421194,0.10145035,0.09329298,0.0887807,0.08973568,0.09959974,0.12008965,0.14709137,0.17256589,0.18870783,0.19313852,0.188486,0.18033482,0.17332019,0.17007358,0.17076904,0.1744745,0.17929989,0.18332092,0.18487151,0.18422431,0.18320465,0.18370682,0.18518329,0.18482892,0.17966156,0.16825087,0.15031528,0.12608953,0.09766328,0.07077662,0.053811524,0.052259475,0.06432643,0.080766596,0.092223085,0.094764926,0.0919435,0.089277126,0.090769045,0.09762279,0.11066306,0.13020632,0.15466197,0.17965609,0.19995934,0.21251841,0.2171585,0.21604891,0.21117216,0.20443219,0.19615881,0.18678196,0.17601968,0.16495693,0.15474583,0.14649032,0.13957517,0.13247748,0.12438419,0.1166913,0.113083005,0.11785611,0.13310313,0.15694052,0.18323405,0.20578079,0.22079784,0.22861324,0.23032163,0.22739035,0.22103675,0.21398216,0.20880498,0.20726341,0.20929618,0.21388793,0.21922511,0.22270064,0.22178113,0.2152194,0.20449382,0.19273408,0.18301189,0.17665876,0.17361838,0.1734757,0.17589359,0.1803252,0.18563795,0.19056988,0.19424583,0.19661482,0.19805194,0.19872908,0.1970825,0.19032323,0.17589088,0.15543988,0.13492759,0.122814685,0.12453499,0.13971703,0.16226803,0.18397598,0.19919431,0.20585708,0.20498215,0.1971711,0.18312554,0.1632382,0.13969181,0.11496314,0.09218163,0.07364438,0.06133841,0.055685222,0.055373654,0.05718528,0.05796407,0.05620875,0.053033303,0.050777588,0.051953778,0.057929218,0.06879123,0.08274474,0.096698105,0.10734606,0.11268577,0.11248011,0.107943036,0.101008475,0.093720585,0.08745819,0.08231527,0.0769553,0.06942595,0.05864042,0.04570779,0.03380549,0.026450181,0.025237383,0.029155567,0.0357534,0.043032944,0.050309706,0.05766948,0.06520338,0.0727244,0.08021227,0.08782226,0.095336,0.10141366,0.105105735,0.11038509,0.13135254,0.18931365,0.29857734,0.44920537,0.6035969,0.71487623,0.75253725,0.71903706,0.64306957,0.5612297,0.49748537,0.45720994,0.43382657,0.42038038,0.41493735,0.4170966,0.4247452,0.4333507,0.43937156,0.44119826,0.43989694,0.43773627,0.43752834,0.43972567,0.4425999,0.44305393,0.44082928,0.43828902,0.43884405,0.44280502,0.44783857,0.4506749,0.45018932,0.44689655,0.44272733,0.43946132,0.4390494,0.44183746,0.4463929,0.44933465,0.44778177,0.44062856,0.42918745,0.41584563,0.40338662,0.39370236,0.3880149,0.38647687,0.38923737,0.39559218,0.40372404,0.40997088,0.4108386,0.40523276,0.39585295,0.3875364,0.3839836,0.385891,0.39169753,0.40013888,0.41010213,0.4181211,0.41648135,0.39745292,0.3601744,0.31373277,0.2713241,0.24185848,0.22605611,0.21955942,0.21793957,0.21872152,0.22085334,0.22300184,0.22405154,0.22376655,0.22374928,0.22587788,0.23094869,0.23754309,0.24339227,0.24670762,0.24806564,0.24948172,0.25321665,0.25845766,0.2624316,0.26114616,0.25303006,0.2376434,0.21640722,0.19137043,0.16636081,0.14500012,0.12877283,0.11564798,0.101848066,0.08506113,0.06743281,0.056531955,0.06450113,0.102391444,0.1731925,0.2652043,0.3564777,0.42509386,0.46177566,0.47108415,0.4653186,0.45526037,0.44661948,0.4411006,0.43883035,0.43959853,0.44224787,0.44468737,0.44451916,0.44218728,0.44270727,0.4560571,0.49021718,0.54544073,0.60958415,0.66584784,0.69881743,0.7021272,0.6753289,0.62477076,0.5597927,0.49287847,0.43457654,0.39206794,0.36705253,0.3567522,0.35531604,0.3572031,0.35967675,0.36258426,0.3659059,0.3684621,0.36908755,0.3680692,0.36652422,0.36470035,0.3618313,0.35746488,0.3523351,0.34719935,0.34200427,0.336349,0.33136034,0.32933488,0.33185562,0.33739743,0.34258136,0.34474584,0.34430018,0.34305772,0.34227934,0.34152862,0.34055233,0.34007558,0.34130323,0.34414527,0.3468716,0.3475928,0.34539235,0.34108815,0.33602154,0.33188894,0.32972237,0.32973942,0.3305504,0.32959017,0.3244839,0.31514904,0.30572984,0.30384275,0.31654188,0.34257448,0.36962637,0.37912345,0.3601247,0.31656614,0.26537135,0.2237705,0.2012531,0.19625533,0.20023768,0.20176238,0.19242483,0.1706273,0.142752,0.1197685,0.11062157,0.11722251,0.13287282,0.14743926,0.15350826,0.15029724,0.14201346,0.13324147,0.12644257,0.12102457,0.11585236,0.11005845,0.104619004,0.101121336,0.10111931,0.10470898,0.11073214,0.11735163,0.12293082,0.12671864,0.12879361,0.13000058,0.13103782,0.13249288,0.13423412,0.13596527,0.1365787,0.13508165,0.13071248,0.12418119,0.11705089,0.11114016,0.107207276,0.10498282,0.103578545,0.10203982,0.09900542,0.09257574,0.08119979,0.06543293,0.048933282,0.040067166,0.052361935,0.1053982,0.21247737,0.36985293,0.5449438,0.6952149,0.78526473,0.80645037,0.7672026,0.686338,0.5846144,0.4843655,0.40371022,0.350179,0.3211166,0.30883348,0.30693045,0.3101835,0.314355,0.3164153,0.31651747,0.31765068,0.32203165,0.32949713,0.3367517,0.34143507,0.3428584,0.3423632,0.34041557,0.33594143,0.32756627,0.31596968,0.30453196,0.29686007,0.29457426,0.29650688,0.30138922,0.3082789,0.3168721,0.3250794,0.3304042,0.3312126,0.3288648,0.3262945,0.3254831,0.32584694,0.32526872,0.32286587,0.31954002,0.31726217,0.31668603,0.31746104,0.3182375,0.31801888,0.3162069,0.3130974,0.30971658,0.3070571,0.30608833,0.30839208,0.31690678,0.3331818,0.35343754,0.36738503,0.36485747,0.34335116,0.31059253,0.27754506,0.25124654,0.23236178,0.21859491,0.20783015,0.19817172,0.18732393,0.17322278,0.15620996,0.13925907,0.12566638,0.11646172,0.110435575,0.107074656,0.10894986,0.12095082,0.14617275,0.18191367,0.21907306,0.24645686,0.25701797,0.25141242,0.23641105,0.21970098,0.20639165,0.19781347,0.19319682,0.18980388,0.1840118,0.17194088,0.15281884,0.13159196,0.11905617,0.12729783,0.1604075,0.21111588,0.26228166,0.3000224,0.3184303,0.3219786,0.3162079,0.30562487,0.2921299,0.27824384,0.26713154,0.26160446,0.26314846,0.27108315,0.28249404,0.29314134,0.30099893,0.3108436,0.3361112,0.39094388,0.4792823,0.58427405,0.67663413,0.7273906,0.7265575,0.6820123,0.6151851,0.5461012,0.4894611,0.44954348,0.42432627,0.40738654,0.3941749,0.38315296,0.37544325,0.37040997,0.3651975,0.35696056,0.3464818,0.33791757,0.33442065,0.33583084,0.33863795,0.3403881,0.3403109,0.33871374,0.3342447,0.32502726,0.3113283,0.29783687,0.2908506,0.29386857,0.30390334,0.31487238,0.3219341,0.32548213,0.32778737,0.32999715,0.33054215,0.32879475,0.3265494,0.32640615,0.3282087,0.32922602,0.32744548,0.3240063,0.32129693,0.31986564,0.31799224,0.3144101,0.3105459,0.30845547,0.30832565,0.30711588,0.3022431,0.29470563,0.29004082,0.29520747,0.31240985,0.33531404,0.34969583,0.34257224,0.31105363,0.2643975,0.21649905,0.1767592,0.14728191,0.12530495,0.10759389,0.092431776,0.08096838,0.07559449,0.07798935,0.086339004,0.09697691,0.10641289,0.114063025,0.121107936,0.13005722,0.1431653,0.1624661,0.18730845,0.2140464,0.23667605,0.25180689,0.26049396,0.26653993,0.27067068,0.26952967,0.26022872,0.24645077,0.23734105,0.23896553,0.24694633,0.24765633,0.22934897,0.19118117,0.14489,0.105831765,0.08489069,0.083773024,0.098080754,0.12099689,0.14795353,0.17629503,0.2046385,0.22959322,0.24753796,0.25590035,0.25618866,0.25166944,0.24459255,0.23318793,0.2131847,0.18450351,0.15789711,0.15770747,0.20882666,0.32016364,0.47029695,0.6175608,0.7192047,0.75279194,0.7199126,0.6411629,0.54455125,0.45596993,0.39035776,0.35026506,0.32886672,0.3188623,0.3148493,0.31489423,0.3162444,0.3173642,0.31653416,0.31424022,0.31040856,0.30578065,0.30086026,0.29735062,0.29702938,0.30112556,0.30892158,0.31773415,0.3241177,0.32604453,0.32357597,0.31810597,0.31050417,0.30112275,0.29057023,0.28045532,0.2728162,0.26916328,0.2698133,0.2735318,0.2775185,0.27881262,0.2756534,0.26933536,0.26332214,0.26214376,0.26826188,0.28052196,0.2942023,0.30368146,0.30625236,0.3028787,0.2972461,0.2922567,0.28968275,0.28966144,0.29205763,0.29688606,0.3056582,0.32093415,0.34184685,0.36196363,0.37015823,0.36042538,0.33466235,0.30266628,0.27286956,0.24989659,0.23285645,0.21911557,0.20592426,0.19279552,0.1812192,0.17271112,0.16599727,0.1571668,0.14334744,0.12766124,0.12026458,0.13326156,0.17217515,0.2303869,0.29285857,0.3450447,0.38086537,0.4019505,0.413031,0.41750678,0.4172437,0.41379067,0.40891576,0.4041966,0.4001046,0.39602485,0.391068,0.38506627,0.37874046,0.37308672,0.3689336,0.36780706,0.370172,0.37494555,0.37669834,0.37139806,0.35773373,0.34110048,0.32682803,0.31889418,0.31628367,0.31650493,0.3160577,0.31339037,0.30847505,0.3030378,0.29772496,0.29317522,0.29172763,0.30293247,0.34084487,0.4157065,0.5207605,0.6303721,0.7112587,0.73868364,0.7062399,0.6249941,0.51947415,0.4195064,0.34802565,0.31077436,0.29605106,0.28837672,0.27971587,0.27242172,0.27112246,0.27716565,0.28686237,0.2954756,0.2994851,0.29855287,0.29397666,0.2881061,0.28259954,0.2780858,0.2740744,0.26973906,0.26518333,0.26110932,0.2582018,0.25580588,0.2523223,0.24641721,0.23818928,0.22966976,0.22316796,0.22028391,0.2203964,0.2217343,0.22227474,0.22137588,0.21997315,0.2195127,0.22094361,0.22338645,0.22510748,0.22425015,0.22080696,0.21624894,0.21273412,0.21128304,0.21150647,0.21189708,0.21118782,0.20893793,0.2066737,0.20822416,0.21993947,0.24674554,0.2854391,0.32208437,0.33901024,0.33003163,0.304414,0.2795453,0.26410523,0.25621885,0.248186,0.23707879,0.22395408,0.21211986,0.20313783,0.19754249,0.19473769,0.19341494,0.19197321,0.1892677,0.1858284,0.18321389,0.18313606,0.18583338,0.19040239,0.19581729,0.20171171,0.20797463,0.21341717,0.21653073,0.216465,0.21454541,0.21287934,0.2128145,0.21361326,0.21281153,0.20784198,0.19715506,0.18146718,0.16270682,0.14321737,0.12475172,0.109859586,0.10266725,0.106949635,0.12248913,0.14315091,0.1609595,0.17071284,0.17229064,0.16762866,0.15843832,0.14588922,0.13189675,0.118808985,0.107809216,0.09859142,0.0914647,0.09199064,0.1135577,0.17441428,0.28405726,0.43005565,0.57496285,0.6761251,0.70861846,0.6793423,0.6153963,0.54677665,0.49021444,0.449278,0.4197929,0.39823332,0.38343826,0.3752255,0.37233207,0.3728925,0.37572786,0.3801695,0.3852092,0.3891609,0.39085042,0.39063236,0.39047873,0.39229462,0.3960502,0.39907923,0.39802364,0.3918266,0.38332352,0.37734112,0.37721482,0.38248873,0.38988486,0.39559707,0.3975053,0.3958782,0.39325747,0.39268816,0.39558604,0.40032592,0.40372813,0.40358034,0.400494,0.3968486,0.39474976,0.3944172,0.39454246,0.3936799,0.39151683,0.3894244,0.38962236,0.39371,0.4009606,0.40844467,0.41270068,0.4123578,0.40932846,0.40784025,0.4110386,0.41673282,0.41617838,0.39810276,0.3569797,0.29796812,0.23441839,0.17967667,0.1402737,0.115438424,0.100161195,0.08941176,0.079230495,0.06768408,0.054282323,0.040428676,0.028220542,0.019911168,0.016879851,0.02008289,0.029466549,0.044165626,0.062584765,0.084582485,0.111067474,0.14153416,0.17042536,0.1890018,0.191411,0.17944057,0.16084586,0.14326797,0.13066562,0.123625405,0.12159318,0.12319974,0.12583725,0.12759721,0.13058902,0.14380144,0.17789488,0.23683502,0.31019017,0.3780943,0.42274478,0.4389156,0.43348542,0.41785514,0.40135717,0.38888395,0.3820884,0.37974787,0.3787868,0.37558553,0.36866808,0.3596631,0.35255718,0.35218647,0.36423907,0.39608738,0.45213977,0.5278793,0.60457015,0.6580224,0.67003804,0.6396961,0.581392,0.51636606,0.46170855,0.42316452,0.39765716,0.37965032,0.3683478,0.36551952,0.37121496,0.3806858,0.38807392,0.38991418,0.38665748,0.38033554,0.37346563,0.36805677,0.3658782,0.36731252,0.37146702,0.37659478,0.3813944,0.38519275,0.3875039,0.38764188,0.38505557,0.38018838,0.37476173,0.37107477,0.37044463,0.37252167,0.37544236,0.37738732,0.3770561,0.37467206,0.37146378,0.3694956,0.36958048,0.37073982,0.37078118,0.36882576,0.36605713,0.36450732,0.3650123,0.3668363,0.36877057,0.37018052,0.3709776,0.37147084,0.37214968,0.37369892,0.3766276,0.3810945,0.38697925,0.39208123,0.3909917,0.3750418,0.33830488,0.28249326,0.2183783,0.15927313,0.11420268,0.08480243,0.06773457,0.058594663,0.054117855,0.05221251,0.05134855,0.050206035,0.048176523,0.045476597,0.04314321,0.042236526,0.043217767,0.04606803,0.051261798,0.060827572,0.0767887,0.09889189,0.12279492,0.14310567,0.15659244,0.16443115,0.16943,0.17367412,0.1770075,0.17894113,0.17995714,0.18207692,0.18635923,0.19092216,0.19018054,0.17893453,0.15618427,0.12726147,0.10033396,0.08302575,0.08032948,0.094693035,0.124767445,0.16378802,0.20113266,0.22752343,0.2400862,0.24255997,0.24110489,0.23971677,0.23781277,0.23118176,0.21525979,0.1895049,0.1596132,0.13565001,0.12733589,0.13976876,0.17117782,0.21346562,0.25414482,0.28177366,0.29043615,0.2828415,0.26682714,0.25071397,0.23891447,0.23212905,0.22907716,0.22824715,0.22844052,0.22867085,0.22833414,0.22703908,0.22469373,0.22137164,0.21745001,0.21341918,0.20915663,0.20341472,0.19316037,0.1756195,0.15019543,0.121056676,0.09454674,0.076089956,0.06673872,0.06531813,0.071087025,0.08619076,0.11213837,0.14654003,0.18051471,0.20441137,0.2127359,0.20802937,0.1965239,0.1846417,0.17579176,0.17124633,0.17020835,0.17098795,0.17143415,0.16997369,0.16569544,0.15852462,0.14921002,0.13887195,0.12860781,0.11896676,0.11039875,0.10298374,0.096577935,0.09073486,0.0863237,0.086324774,0.09552538,0.116956435,0.14902721,0.18469203,0.21546228,0.23566009,0.24502896,0.24670105,0.24443044,0.24038751,0.23579662,0.23155858,0.22860916,0.22634606,0.22195618,0.21078344,0.190118,0.16204344,0.1339428,0.11313974,0.102065586,0.0974612,0.09577826,0.098327555,0.109841585,0.1328641,0.16234215,0.18910895,0.20564169,0.21155028,0.21106164,0.20904227,0.2074358,0.2056781,0.2019571,0.19395919,0.17963171,0.15849401,0.13328995,0.109327696,0.091563046,0.0823674,0.08205254,0.091645665,0.112207346,0.14225549,0.17495851,0.20180266,0.21737891,0.22256689,0.2214365,0.21707861,0.20939797,0.19668247,0.17841876,0.15672,0.13550521,0.11915516,0.111644566,0.11609537,0.132372,0.15536945,0.17610268,0.18734795,0.18763687,0.18096806,0.17254406,0.16612667,0.16444646,0.16932483,0.18085204,0.19514237,0.20664208,0.21110658,0.20892338,0.20355217,0.19885434,0.19670735,0.1965607,0.1967413,0.19548748,0.19239296,0.18791771,0.18272668,0.17646176,0.16837312,0.15863633,0.14936973,0.14342363,0.14196092,0.14290352,0.14228734,0.13718154,0.12797984,0.11754171,0.10919341,0.10497877,0.10623878,0.11364027,0.1262834,0.14039086,0.15047337,0.15288253,0.14799522,0.13957894,0.13152964,0.12618531,0.12444482,0.12652044,0.13192959,0.13846897,0.14291099,0.14252049,0.1372274,0.12954083,0.1226959,0.11881275,0.118356794,0.121406496,0.12763686,0.13581891,0.14279278,0.14501397,0.14062005,0.13084862,0.11886403,0.10780018,0.09986648,0.09665597,0.09965515,0.10899658,0.122134686,0.13370271,0.13855892,0.13495159,0.1258203,0.1159996,0.10951552,0.107857056,0.11162128,0.12042564,0.1329605,0.14553739,0.15402298,0.15591617,0.15242867,0.14738186,0.1449622,0.14762773,0.15538053,0.16616385,0.17646699,0.18235676,0.1805342,0.17002808,0.15309106,0.13491794,0.12103929,0.11452103,0.11443753,0.11738018,0.12049358,0.12448042,0.13298734,0.1489198,0.16991538,0.18871735,0.19800971,0.19518898,0.1834278,0.16851562,0.15636772,0.15023883,0.1519286,0.16449028,0.19770634,0.2648953,0.37247834,0.50556177,0.62892866,0.70318156,0.70812386,0.6536355,0.5715145,0.4961078,0.44561568,0.4184073,0.40234014,0.38868868,0.37772286,0.3728125,0.3745111,0.3788202,0.38234365,0.38370398,0.38339257,0.3818319,0.38024223,0.3806652,0.3847215,0.39136097,0.3971183,0.39866367,0.39567435,0.3907225,0.38694593,0.38547966,0.38539517,0.38489643,0.38283637,0.37885383,0.3736827,0.36896417,0.3669727,0.3690188,0.37436202,0.38025272,0.38375008,0.38339975,0.3798742,0.375201,0.37150773,0.36991787,0.37005028,0.37060952,0.37040612,0.36944413,0.36839774,0.3678013,0.36676654,0.36370552,0.3573227,0.34863126,0.34160793,0.34233105,0.35498372,0.37618995,0.39334843,0.39019004,0.35843042,0.30416742,0.24460186,0.19643824,0.16723366,0.15406851,0.14912905,0.1459716,0.14294657,0.14238302,0.1471511,0.1575439,0.17034636,0.18170315,0.18944193,0.19492096,0.2003814,0.20852439,0.22005449,0.23431748,0.24699748,0.2532927,0.2506743,0.24281001,0.23615421,0.23509322,0.2386139,0.24285565,0.2456383,0.2477072,0.2504402,0.25250623,0.25063723,0.24331826,0.23326904,0.22591637,0.22515148,0.23172693,0.24489479,0.26376757,0.2869751,0.30963886,0.32566753,0.33040997,0.3251462,0.314502,0.30353978,0.29486322,0.28947493,0.28809795,0.29069367,0.29625383,0.3030422,0.3127344,0.332391,0.37477103,0.44830075,0.5495131,0.6556563,0.73671824,0.76636034,0.7385799,0.6649018,0.57038873,0.47891513,0.40688357,0.35882282,0.33147994,0.31824902,0.31278527,0.31041482,0.3086407,0.30755994,0.30889627,0.31408498,0.32239664,0.3308594,0.33618033,0.3370851,0.33517584,0.33305538,0.3319722,0.3307152,0.3275677,0.3222312,0.31671485,0.31356394,0.31434762,0.3185415,0.32406464,0.32805786,0.3285419,0.32557395,0.32141677,0.31887543,0.31903067,0.32067016,0.32117286,0.3189831,0.3141806,0.3087238,0.30461684,0.30306715,0.30337635,0.30388233,0.3032267,0.30172136,0.300871,0.30188337,0.30440223,0.30659938,0.3067727,0.305321,0.30580255,0.31268644,0.32572243,0.33638433,0.33163735,0.3055844,0.26633194,0.23127745,0.2130826,0.21153618,0.21731289,0.2214299,0.2206456,0.21548061,0.20721175,0.19670926,0.18539251,0.17530914,0.16821702,0.1652116,0.16653652,0.17179148,0.17906047,0.18535073,0.18801732,0.18692912,0.18448007,0.18343832,0.18468755,0.18697733,0.18874443,0.18983866,0.19166319,0.19577803,0.20210119,0.20852776,0.21209855,0.21102774,0.20565666,0.19771497,0.18859528,0.17785977,0.16345121,0.14395015,0.12154063,0.10295097,0.09586123,0.10353436,0.12187117,0.14237668,0.15786104,0.165821,0.16767813,0.16546063,0.16022354,0.15178049,0.14006974,0.12556581,0.109747715,0.094818175,0.084195554,0.082528144,0.094486676,0.12107262,0.15676242,0.19076121,0.21336448,0.22167408,0.2200949,0.21528916,0.21125259,0.20824325,0.20505814,0.20115304,0.19685765,0.19256367,0.18836558,0.18418689,0.17985146,0.17455418,0.1667886,0.15486538,0.13869505,0.12059901,0.10473624,0.09415364,0.08893437,0.086384945,0.08401086,0.08121872,0.080065615,0.083448134,0.09498898,0.115577005,0.14270674,0.16834767,0.18515594,0.18957104,0.18520433,0.17768063,0.17178065,0.16910018,0.16966331,0.17254482,0.1760654,0.17833275,0.17813815,0.1758923,0.17201023,0.1653805,0.15267764,0.13183591,0.104746245,0.07772099,0.057537273,0.04870561,0.053476702,0.07240924,0.10334465,0.13817091,0.16503109,0.17277884,0.15871678,0.12919939,0.097454436,0.0751626,0.068222284,0.07541713,0.09335747,0.11854599,0.1470678,0.1726348,0.18922909,0.19476634,0.19243984,0.18716685,0.18206252,0.17684041,0.16891141,0.15512209,0.1343583,0.10916755,0.08523605,0.06777396,0.058495954,0.05492081,0.053201076,0.05162144,0.052724343,0.062149633,0.08257017,0.10901892,0.1283034,0.1288224,0.108309425,0.076604046,0.046637442,0.02742496,0.021451637,0.029248452,0.05129685,0.08584302,0.12578239,0.16020407,0.18098809,0.18651341,0.18054233,0.16689225,0.14802296,0.12627925,0.1058386,0.09124803,0.08512759,0.08771027,0.09837925,0.115980625,0.13773574,0.15825684,0.1729467,0.18120833,0.18763196,0.19715483,0.21082091,0.2244557,0.23259287,0.23256959,0.22605294,0.21684836,0.20803101,0.20043367,0.19345856,0.18650417,0.18044452,0.17743956,0.18004756,0.18861544,0.20061292,0.21096729,0.21591462,0.21445335,0.20894247,0.20181786,0.19460107,0.18715487,0.17924088,0.17073043,0.16212034,0.15456976,0.14991695,0.1497673,0.15419485,0.16113774,0.16726919,0.1694761,0.16649069,0.15912546,0.14973386,0.13988133,0.12959649,0.117809676,0.10517306,0.09385243,0.08605445,0.08192432,0.08166232,0.08787923,0.104351886,0.13151564,0.16290325,0.18921125,0.2031699,0.20334278,0.19120638,0.17047687,0.14720567,0.13104486,0.130292,0.14627582,0.17060679,0.19180167,0.20210505,0.20196891,0.19589049,0.18872844,0.18227255,0.17685337,0.17234989,0.16945629,0.16884814,0.17052414,0.173553,0.17647178,0.17811932,0.17803909,0.17689759,0.1758131,0.17543048,0.17508066,0.17358135,0.1704949,0.16689892,0.16427846,0.16332805,0.16325767,0.16286384,0.16153532,0.15976687,0.15833446,0.15737887,0.15634821,0.15453833,0.15185474,0.14842911,0.14434226,0.13924406,0.13316126,0.12688263,0.12206165,0.12002414,0.121068,0.12419909,0.12792917,0.13072924,0.13143854,0.1295681,0.12557684,0.12085418,0.116902776,0.11470356,0.11424145,0.114988595,0.11621567,0.11731947,0.117467515,0.11588418,0.11222378,0.10734162,0.10284772,0.10030681,0.1001836,0.10173932,0.103521444,0.10411809,0.10286967,0.099943765,0.09618648,0.09219702,0.08779863,0.08166335,0.0722625,0.059113216,0.043820173,0.02962693,0.01990964,0.017183729,0.023061113,0.038652014,0.06318598,0.092752784,0.12060845,0.14105903,0.15236668,0.15701245,0.15835136,0.15843098,0.15762572,0.15586142,0.15288901,0.14786787,0.13925081,0.1256739,0.10778385,0.08924841,0.07627181,0.07437984,0.08484217,0.102992736,0.12081664,0.13193147,0.13469507,0.13179342,0.12676612,0.121958464,0.11759967,0.11291956,0.10700092,0.100420885,0.0957051,0.09575804,0.10091448,0.107451506,0.11056415,0.10824872,0.102988504,0.09859675,0.09704849,0.09747062,0.09811374,0.09791284,0.09700399,0.09606272,0.09568731,0.09582737,0.09588369,0.0952623,0.094003916,0.092692666,0.091939054,0.09216868,0.093982376,0.09845836,0.10637582,0.117229424,0.12868005,0.13803329,0.14349924,0.14519127,0.14402007,0.14124952,0.13782746,0.134871,0.13316679,0.13309042,0.13422053,0.13586682,0.13740446,0.13859196,0.13955723,0.14051618,0.14169435,0.14289308,0.14381485,0.1441476,0.14415224,0.14426725,0.14459477,0.14451607,0.14313896,0.14044829,0.13735534,0.13520287,0.13426213,0.13379146,0.13258217,0.13022316,0.12716264,0.12416341,0.121531434,0.119027756,0.116187066,0.112865694,0.10924239,0.10586021,0.103102066,0.10107287,0.0993932,0.09753275,0.09524252,0.09261954,0.09004685,0.08769417,0.08567665,0.08399799,0.08273194,0.08182281,0.08114911,0.08056191,0.07996744,0.07927892,0.07846812,0.07757896,0.07666248,0.075628616,0.07413423,0.07186405,0.06874406,0.0652272,0.061951544,0.059408024,0.057547066,0.055914715,0.05402301,0.051687587,0.049120326,0.04664575,0.04447551,0.042557154,0.04076227,0.039032176,0.037471782,0.036205206,0.035282087,0.034636874,0.034182537,0.03386378,0.03362848,0.03341872,0.03313303,0.032777876,0.032415364,0.032185316,0.032087326,0.032004073,0.031727742,0.031105215,0.030119061,0.028840335,0.027435124,0.026055945,0.024854483,0.023887917,0.023133686,0.022512028,0.021931348,0.021343863,0.02072529,0.020098599,0.0194961,0.018944595,0.01845742,0.018022655,0.017645506,0.017316898,0.017040774,0.01679649,0.016553955,0.016277246,0.015931694,0.015519199,0.015053836,0.014588535,0.014153355,0.013768017,0.013416977,0.013096716,0.012817812,0.012596819,0.0124310665,0.012292426,0.012153541,0.012010474,0.011874312,0.011748298,0.011595395,0.011374767,0.01106543,0.010711799,0.010378504,0.010119233,0.009930658,0.009779415,0.009632469,0.00947594,0.009313982,0.009148001,0.00898723,0.008827207,0.008658812,0.008456494,0.008221928,0.0079986425,0.00786086,0.007844863,0.007900236,0.007924574,0.00784588,0.0076866006,0.007528428,0.0074281543,0.007360796,0.0072332467,0.006973089,0.0065790736,0.0061256625,0.0056839697,0.0052780523,0.0048843487,0.004475089,0.0040421165,0.0035834638,0.003103575,0.0026329088,0.0022554307,0.0020792156]