[3.2590506E-05,4.821668E-05,0.00014764971,0.0004910896,0.001321389,0.002854729,0.0051144375,0.0078105493,0.010389812,0.012268734,0.01311067,0.01298101,0.012247782,0.011342771,0.010538142,0.009891265,0.009330828,0.008755359,0.008111949,0.0073728818,0.0065493733,0.00565418,0.0047499966,0.0039130645,0.003236119,0.0027611332,0.002494754,0.0024345892,0.002662789,0.00447789,0.011601135,0.031129926,0.06879038,0.12351432,0.1826539,0.2296017,0.25308093,0.25582924,0.24890353,0.24380632,0.24439156,0.24864776,0.25218442,0.2528963,0.2511034,0.24891697,0.24796553,0.24880914,0.25056314,0.25217715,0.2531085,0.2538239,0.2549566,0.2567377,0.25859675,0.25966418,0.25922012,0.25725332,0.25440952,0.2517077,0.24980564,0.24864163,0.24748267,0.24555854,0.24270545,0.23944223,0.23655249,0.23443468,0.23320842,0.23306526,0.23445301,0.23762436,0.24213909,0.2472229,0.25216803,0.25676414,0.2608978,0.26497102,0.2701957,0.2785921,0.29123965,0.3072296,0.3244107,0.34222972,0.36259595,0.38795397,0.41801956,0.44937888,0.4777151,0.5006599,0.5179198,0.53005797,0.53634423,0.5352728,0.525542,0.5082917,0.48657838,0.46441302,0.44501474,0.43065837,0.42251575,0.42075542,0.42488554,0.4344022,0.44810656,0.463021,0.47380337,0.4762319,0.46945214,0.4575255,0.44595718,0.44036213,0.4444319,0.46032706,0.48727226,0.52173835,0.55796295,0.59084415,0.6179063,0.6399257,0.656761,0.6646185,0.6551767,0.62404794,0.57446355,0.52034736,0.47545293,0.45020068,0.44487152,0.45540464,0.4717455,0.4831556,0.4789876,0.45604238,0.4199315,0.383772,0.35984376,0.35379514,0.3622887,0.37658486,0.3864187,0.38395628,0.3659657,0.3359624,0.3029517,0.27770153,0.2658893,0.2662884,0.27294147,0.28183615,0.29190037,0.30308127,0.31243834,0.3160725,0.3119025,0.30230376,0.29147902,0.2838213,0.28088233,0.2821801,0.2845585,0.28531766,0.28298745,0.2782017,0.2715129,0.26279184,0.25219056,0.24112578,0.23196983,0.22607838,0.22374131,0.2247857,0.22933246,0.23661278,0.24471867,0.2514123,0.25657663,0.26189697,0.26984635,0.28102148,0.29469287,0.30920115,0.3237475,0.33799675,0.35216162,0.3664464,0.38214317,0.4017829,0.42848608,0.46251974,0.49922916,0.5294489,0.54478246,0.5420377,0.5248358,0.49852204,0.46595013,0.42561802,0.3772988,0.32499927,0.2770645,0.23930341,0.21206425,0.19019665,0.16918409,0.14741878,0.12770905,0.112744726,0.10491434,0.10421566,0.11056469,0.12079146,0.12936118,0.12929024,0.11817553,0.0994372,0.080059744,0.06588229,0.0616663,0.072712116,0.10187551,0.14309265,0.17915434,0.1928101,0.17891723,0.14795877,0.115321934,0.09266307,0.08555069,0.09498901,0.115736224,0.13557912,0.14283234,0.13409272,0.11646313,0.09930163,0.09010878,0.09506025,0.119847715,0.16345668,0.2109813,0.23993595,0.23536633,0.20183338,0.15786698,0.12277519,0.10919061,0.12303186,0.16292037,0.21524924,0.25579882,0.264207,0.23733662,0.19126178,0.14584011,0.11511165,0.10365456,0.11065191,0.12938939,0.14778925,0.15582418,0.15124129,0.1413803,0.13361172,0.13267487,0.14217336,0.16724561,0.20881778,0.2541926,0.28165063,0.27421248,0.23451434,0.18058021,0.13186173,0.0981467,0.07896783,0.070100546,0.06608295,0.06287577,0.05829877,0.053402495,0.050620954,0.051904097,0.060144514,0.08168069,0.12498206,0.19106458,0.26472798,0.31746718,0.32548535,0.28632268,0.22134078,0.15960275,0.12322926,0.11921295,0.14255726,0.17896235,0.21027277,0.22300255,0.21451433,0.19412611,0.17366391,0.16310848,0.1690046,0.1961819,0.2431763,0.29658082,0.3349223,0.34061167,0.31232086,0.26487106,0.21940714,0.19441676,0.20030642,0.23818342,0.29631606,0.35196647,0.38173398,0.374374,0.3374847,0.2890122,0.24783856,0.22657122,0.23105514,0.25852478,0.29580307,0.3247567,0.33135128,0.3149812,0.28652263,0.2615003,0.25253555,0.26642317,0.30350935,0.35625836,0.40979555,0.44664153,0.45611274,0.44025123,0.41181824,0.3845532,0.36678663,0.35924658,0.3593382,0.36136496,0.3591155,0.34737277,0.32681283,0.3047417,0.29102775,0.29304656,0.31087092,0.3389419,0.36688176,0.38424444,0.38247585,0.35935453,0.31956533,0.27508965,0.24157774,0.2353761,0.26519883,0.32652453,0.39891252,0.45806336,0.48840284,0.48991692,0.4704839,0.43835926,0.40029588,0.3651236,0.34121025,0.33241686,0.33438563,0.3411319,0.34777716,0.353116,0.3555056,0.35585833,0.35860562,0.37083766,0.39489827,0.4250383,0.4517084,0.46899113,0.47752258,0.4802332,0.47864568,0.4726356,0.46386394,0.4560077,0.45270845,0.4540278,0.4570761,0.45835412,0.45651326,0.45227012,0.44698647,0.44224742,0.43943724,0.43927655,0.43921733,0.43404797,0.41883114,0.39470434,0.36892322,0.351169,0.34683058,0.35562995,0.3732438,0.39461732,0.41610417,0.43604863,0.4553131,0.47399768,0.4912242,0.5045814,0.5149426,0.5238372,0.5312903,0.53186274,0.52029973,0.49689087,0.46971452,0.4482913,0.43709418,0.43376198,0.43516183,0.4411458,0.454482,0.47390863,0.4938449,0.50706285,0.511128,0.50782514,0.500966,0.4932653,0.48654106,0.48056304,0.47334334,0.46091768,0.4418372,0.41806993,0.39541575,0.37853548,0.3693646,0.36646238,0.3672748,0.36957917,0.3726573,0.37750682,0.3856225,0.3963925,0.4063146,0.4110556,0.4099219,0.40670344,0.4065962,0.4109088,0.4162298,0.4177513,0.41421926,0.40849134,0.40489474,0.40553352,0.4100746,0.41723648,0.42624104,0.43697894,0.44906652,0.46222845,0.47509822,0.48605466,0.4925075,0.49376842,0.4908625,0.48714325,0.48443756,0.48207214,0.4759712,0.46285895,0.44264865,0.41977897,0.39967492,0.38568783,0.3774582,0.37182018,0.36470434,0.3529977,0.3369391,0.32002988,0.30672392,0.29896414,0.2958264,0.29632965,0.3005676,0.30928,0.32181624,0.33902052,0.3641158,0.4008614,0.44693673,0.49132276,0.51986647,0.5227732,0.5016358,0.4666846,0.43372032,0.41489694,0.41527954,0.42965055,0.44883433,0.46478572,0.47605252,0.4845682,0.49206603,0.49690256,0.49709108,0.4936777,0.48993707,0.48784295,0.48523426,0.47965896,0.47126707,0.46267375,0.45398918,0.4417598,0.42310467,0.4012792,0.38457036,0.3802375,0.3887726,0.40537181,0.4232544,0.43672857,0.44168773,0.43800965,0.4313167,0.43056682,0.4414312,0.4618105,0.48396096,0.50191873,0.5142525,0.5229277,0.5272686,0.5256644,0.51762205,0.50848335,0.50476366,0.51050025,0.52302974,0.5364855,0.5445156,0.5432349,0.5316546,0.5125924,0.49240422,0.4768727,0.4672847,0.45920256,0.44818452,0.43398282,0.41982365,0.40743783,0.39392647,0.37611946,0.35345283,0.3305085,0.31124365,0.29803333,0.28903338,0.28197816,0.27429172,0.26659405,0.26223907,0.2668498,0.28326774,0.30834225,0.3333114,0.34911975,0.35245135,0.34680584,0.33846033,0.33095813,0.32374516,0.31604072,0.30914715,0.30563644,0.30538252,0.30639267,0.30741456,0.308795,0.30852938,0.30040017,0.27796382,0.24218047,0.20199378,0.16908525,0.14940614,0.14221989,0.14226437,0.14304312,0.14008702,0.13227047,0.12597853,0.12658764,0.134622,0.13876936,0.12996355,0.10723582,0.08175282,0.063780285,0.056615964,0.056061774,0.05648451,0.054734156,0.05107813,0.049607757,0.057590228,0.079912014,0.11268669,0.14123522,0.15024482,0.13583338,0.10831616,0.08265868,0.067868456,0.06544033,0.07459185,0.09204135,0.11128617,0.12048351,0.113711484,0.09361089,0.071685426,0.055707198,0.047679428,0.045715496,0.04974315,0.059997957,0.07314583,0.08480272,0.09567937,0.1159155,0.15229632,0.196988,0.2274596,0.2319907,0.22593695,0.2406586,0.29176602,0.3613144,0.41807106,0.4417446,0.43407524,0.40114197,0.34733573,0.27974787,0.22064286,0.19702083,0.22333021,0.28739992,0.3634664,0.4257946,0.46017465,0.46081308,0.4335029,0.3979193,0.37758613,0.3833979,0.40048876,0.40785107,0.39597264,0.3758436,0.35851297,0.34376994,0.32143286,0.28501025,0.23736237,0.1878352,0.14821373,0.13110985,0.14549948,0.18849798,0.2424628,0.28537694,0.30954134,0.32386804,0.34188214,0.36282155,0.37651333,0.37594318,0.36687458,0.3585209,0.3519595,0.33931735,0.31140098,0.26650378,0.21123873,0.15875395,0.1250097,0.1233721,0.15759604,0.21711099,0.28191087,0.33409324,0.36693856,0.38259694,0.38493726,0.3756068,0.35856375,0.34060445,0.32777444,0.31779408,0.30214974,0.2731741,0.23114483,0.18414964,0.14421518,0.12467879,0.13681419,0.18274339,0.24960923,0.31344613,0.35549828,0.3738829,0.37962028,0.3824458,0.3815967,0.37354186,0.35840786,0.34290278,0.33129618,0.32348946,0.31708348,0.31151882,0.3088361,0.30922017,0.3110948,0.31081817,0.3067145,0.29999134,0.29548702,0.29917762,0.31318173,0.33262122,0.3471059,0.34910834,0.3396093,0.32695016,0.31743702,0.30948612,0.29455817,0.2661425,0.22445391,0.17716716,0.13462426,0.108528845,0.10966951,0.14227454,0.19826914,0.25838375,0.3061789,0.33804533,0.36001685,0.3754046,0.3787137,0.36672774,0.344769,0.32544723,0.31420198,0.30582014,0.28953722,0.25840998,0.21389866,0.16407719,0.122238584,0.10227248,0.11286008,0.15083115,0.20215242,0.25038087,0.28728285,0.31116784,0.32275236,0.31767532,0.2963744,0.26445052,0.23433082,0.21163309,0.19481777,0.17748588,0.15648867,0.13334522,0.112036616,0.09835532,0.09870497,0.11711683,0.14968379,0.18563227,0.21695125,0.24842691,0.29051736,0.3461214,0.39993727,0.43548667,0.44743657,0.4486337,0.45134428,0.4594411,0.46629497,0.46652332,0.45971784,0.4505186,0.4432751,0.43925503,0.4358615,0.42934564,0.41878685,0.4077731,0.40297696,0.40800902,0.41986313,0.42819238,0.4225388,0.3985419,0.3613036,0.32113257,0.28816095,0.26858065,0.26401517,0.27217972,0.2877953,0.3045957,0.31763467,0.32497326,0.32718408,0.3259691,0.32383955,0.32402602,0.32996535,0.34021822,0.3484912,0.34546176,0.32946348,0.30615085,0.28609955,0.2743318,0.27065793,0.27150303,0.274119,0.27648377,0.277137,0.2768514,0.2788175,0.2868006,0.30113688,0.31848642,0.3342285,0.34608734,0.3526976,0.352855,0.34414056,0.32809237,0.30993605,0.29810277,0.29712078,0.30672285,0.32241222,0.34056234,0.35937035,0.3783038,0.3954513,0.40896177,0.41791043,0.42444912,0.4309702,0.43933806,0.44864812,0.45681527,0.4616939,0.4629147,0.4615644,0.4578446,0.44955254,0.4326702,0.4046844,0.36711255,0.32558784,0.2877289,0.25973848,0.24435794,0.24021937,0.24375145,0.25139642,0.2614009,0.27405384,0.2901553,0.3086423,0.32417682,0.32953998,0.32043585,0.3010885,0.28111577,0.2692256,0.2665983,0.26925907,0.27310422,0.27757737,0.28417668,0.29339337,0.3042201,0.3150349,0.3246802,0.33181027,0.33537158,0.33565772,0.3352227,0.33574772,0.33618155,0.33236504,0.32305202,0.311185,0.30299458,0.3019477,0.3084216,0.32089266,0.3383462,0.35877398,0.37852955,0.39308092,0.40031627,0.40133944,0.39968705,0.3987178,0.40038458,0.4050076,0.41101804,0.41593316,0.41735077,0.41517982,0.41210556,0.41106966,0.4141259,0.41906092,0.42265406,0.41911435,0.4049424,0.37774053,0.34079835,0.30299273,0.2787622,0.2794075,0.3043023,0.33836305,0.36289552,0.3696616,0.36484358,0.36042193,0.36099157,0.36293742,0.3608849,0.35633633,0.35482654,0.35952726,0.36744598,0.37292564,0.37290534,0.36875835,0.36430624,0.3629959,0.36627734,0.37315068,0.38247168,0.39489505,0.41642782,0.4532138,0.5039349,0.5540169,0.58378524,0.58529574,0.5660925,0.542417,0.52035666,0.49642453,0.460045,0.40664378,0.34003842,0.27667132,0.24079114,0.25161043,0.3079261,0.38407597,0.44834355,0.48729908,0.5110321,0.53675103,0.56528234,0.5828593,0.574415,0.5397291,0.4900528,0.43879414,0.3924975,0.34917983,0.3033599,0.25274345,0.2034377,0.1673133,0.15213948,0.15384053,0.15880837,0.15993142,0.16764438,0.20197989,0.26813385,0.34340683,0.39368963,0.40374887,0.3877242,0.37217236,0.36970472,0.37349746,0.36683545,0.338533,0.28924203,0.23217432,0.19026947,0.18492627,0.2224273,0.285853,0.3470136,0.3887057,0.41528106,0.44100535,0.4711865,0.49670362,0.5069383,0.49828112,0.47563657,0.44526795,0.41525492,0.39648268,0.3992368,0.42650124,0.4690361,0.5112446,0.54119635,0.557028,0.56515473,0.57196164,0.57935613,0.5863938,0.59031254,0.5898594,0.58044094,0.5602942,0.52809197,0.48778036,0.4436947,0.40128472,0.3665688,0.34528112,0.3420298,0.35694513,0.38586363,0.42057848,0.4496423,0.4615209,0.4497247,0.4213475,0.39760175,0.40123758,0.4389495,0.49320802,0.53633755,0.5496243,0.53267455,0.49678993,0.45271596,0.40852168,0.36910868,0.34041253,0.3256118,0.32596973,0.33927646,0.36139408,0.38506472,0.40309262,0.41345632,0.4237515,0.44474757,0.47848606,0.51348287,0.5335136,0.53301674,0.5183534,0.50050014,0.48326913,0.46538568,0.44554618,0.42770398,0.4183974,0.42216274,0.43932378,0.46673158,0.49920893,0.5300067,0.55281824,0.5651128,0.5688564,0.56385654,0.5450515,0.5054236,0.45007822,0.39550626,0.36123574,0.35279727,0.36210367,0.37563685,0.38468432,0.38709775,0.38430306,0.38039932,0.38033858,0.38814393,0.40314582,0.4216458,0.44032586,0.4604558,0.48093617,0.495044,0.48890594,0.45824397,0.4121368,0.36979234,0.34122857,0.3234143,0.30661342,0.2855219,0.2614676,0.23874307,0.22391813,0.22608899,0.25229686,0.2988414,0.34901914,0.38481328,0.40186974,0.40930334,0.41674998,0.42143622,0.41542372,0.3966192,0.3736519,0.35516968,0.34145558,0.325707,0.30211917,0.27151307,0.23960115,0.21341302,0.19787204,0.19486433,0.20200653,0.21441741,0.22807728,0.24423707,0.26698604,0.29514623,0.31832358,0.322832,0.30681208,0.2816156,0.2635246,0.2578893,0.25998595,0.26206443,0.26167002,0.2600614,0.25969443,0.2637075,0.27700004,0.3008084,0.32978627,0.35282663,0.36586526,0.3738997,0.3845798,0.39600036,0.3987325,0.38914594,0.37424052,0.36618304,0.36881062,0.37868726,0.3910462,0.40661004,0.42800853,0.4547408,0.48163524,0.5038016,0.5196111,0.5303371,0.53623754,0.53698874,0.53353494,0.52697617,0.51596636,0.49518228,0.46324384,0.42585233,0.39440393,0.3748709,0.36490154,0.35731065,0.34919488,0.34246707,0.34053704,0.3427086,0.34667805,0.35052013,0.35444614,0.35799703,0.36071977,0.36476958,0.37516773,0.39399648,0.41574672,0.42991543,0.43185547,0.42525855,0.4186726,0.41459182,0.4106021,0.40184155,0.38810953,0.3717827,0.35750854,0.3483108,0.34665456,0.35212627,0.36326253,0.3772963,0.39355013,0.41216862,0.43072942,0.44128036,0.4330231,0.4016588,0.3534033,0.3023198,0.26130313,0.23631231,0.2265678,0.22682737,0.2327211,0.24194653,0.25562638,0.27457535,0.29746267,0.31888548,0.33104232,0.32719126,0.30668378,0.27492276,0.23948383,0.20440109,0.17415453,0.15824448,0.17009711,0.21441953,0.27800298,0.33627477,0.3683336,0.36870804,0.34279212,0.2992019,0.24411088,0.1845088,0.12912887,0.08819894,0.07130536,0.0887186,0.14798601,0.24378105,0.3505769,0.4304887,0.45729992,0.4306551,0.37138972,0.3028167,0.24030842,0.19275272,0.16312827,0.14854138,0.13906966,0.12910606,0.12421145,0.13790648,0.17594332,0.22487013,0.2604018,0.2646238,0.24078262,0.20716794,0.18282014,0.17468949,0.17779605,0.18293428,0.18397991,0.17991473,0.17279972,0.16344742,0.15099326,0.1332389,0.11256587,0.09567814,0.09279766,0.10861492,0.13926663,0.17109399,0.18958868,0.18601578,0.16264744,0.12862447,0.094777845,0.06771392,0.04911117,0.037051074,0.030042505,0.029001988,0.0370765,0.05424127,0.07480135,0.08816123,0.08865275,0.07973563,0.07287706,0.07543296,0.08618152,0.09746041,0.10616469,0.11531771,0.13016878,0.14992107,0.1700002,0.18658386,0.20134832,0.21770947,0.23663478,0.2537422,0.26131225,0.25238237,0.22534172,0.1852604,0.14151324,0.102461584,0.072660364,0.052833844,0.043975238,0.04990812,0.07713019,0.12756895,0.19315338,0.2554617,0.29742515,0.31191048,0.30443814,0.2841253,0.25785884,0.22842486,0.196929,0.1645167,0.1322725,0.10416237,0.08682805,0.08809638,0.10931247,0.1419865,0.17034535,0.18098474,0.17135812,0.15003686,0.13028722,0.121063866,0.124571405,0.13834651,0.16053544,0.19072545,0.22841299,0.26969966,0.30844954,0.3392483,0.3611803,0.3769212,0.39013764,0.40222847,0.4119834,0.41657737,0.4138184,0.40392423,0.39007235,0.37637344,0.3661056,0.35953292,0.356028,0.3524231,0.34656343,0.33453092,0.31596947,0.29063484,0.26387095,0.24384451,0.24353594,0.2695577,0.3161383,0.36370564,0.39416233,0.4026953,0.39965236,0.39801884,0.40325296,0.41114187,0.41366366,0.4059738,0.38816687,0.36422443,0.33689895,0.30936453,0.28549373,0.27192846,0.27159214,0.28221685,0.29707456,0.31044093,0.3177043,0.31701827,0.31222084,0.3180937,0.3485981,0.4026476,0.4530523,0.46898675,0.43816003,0.37921238,0.3204325,0.2799323,0.25670788,0.24009782,0.21920145,0.18898588,0.15316309,0.12555711,0.12507923,0.16200668,0.22765207,0.29595444,0.34314463,0.36182103,0.3606737,0.3497721,0.33177856,0.30874714,0.28731188,0.27788615,0.2817364,0.2901956,0.29271838,0.28763258,0.28204557,0.2814473,0.2850485,0.28879574,0.2918367,0.29612878,0.3019444,0.31014255,0.32619247,0.35532758,0.39145327,0.41197857,0.3985,0.35272956,0.29997098,0.26388833,0.25150916,0.2511368,0.24730308,0.23165065,0.20709221,0.1858437,0.18156908,0.20053232,0.23499882,0.26841986,0.28641653,0.28537104,0.27088764,0.25039586,0.22914852,0.2101084,0.19691266,0.19178425,0.1938952,0.19737338,0.1973675,0.19484061,0.19743435,0.21184619,0.23703408,0.26609537,0.29109475,0.30727598,0.31004214,0.29887438,0.2818656,0.27977324,0.30931917,0.36843255,0.42902383,0.46224865,0.4562014,0.4244512,0.38556412,0.35227892,0.3259419,0.30427665,0.28377292,0.26241884,0.24085774,0.22440177,0.22088765,0.23470064,0.26184344,0.29048523,0.3099703,0.316619,0.31498855,0.30933145,0.3013884,0.29109845,0.2822243,0.2793994,0.28372908,0.28991422,0.29192913,0.28759512,0.2790266,0.2681302,0.25576833,0.2449134,0.24107355,0.2486896,0.26604554,0.28938162,0.31880596,0.35501394,0.39072064,0.40563187,0.38527378,0.33368495,0.2770897,0.24066956,0.23477481,0.24904782,0.26455367,0.26607725,0.25331476,0.24112652,0.24692588,0.27501118,0.31015977,0.33098492,0.32554922,0.299235,0.26543853,0.23539078,0.21286003,0.19746447,0.18863283,0.1860634,0.18780084,0.18887721,0.18557458,0.18011354,0.18128383,0.19669515,0.22605944,0.2612909,0.293489,0.317783,0.33329836,0.34157357,0.34572718,0.34958017,0.35522512,0.3610709,0.3637112,0.35938737,0.34786782,0.3310003,0.3138758,0.29974353,0.28963062,0.28095046,0.27163735,0.2614833,0.25239372,0.24662942,0.24611585,0.2514023,0.2609206,0.27058113,0.27650243,0.27748644,0.27556717,0.27345467,0.27231303,0.2722704,0.27361003,0.27739835,0.2843506,0.29434463,0.3063968,0.3193216,0.3323642,0.34578726,0.36049554,0.37675282,0.39338863,0.40806875,0.41893196,0.4249427,0.42622542,0.42355892,0.41867295,0.41368034,0.40963998,0.40537736,0.3976508,0.38392118,0.36479235,0.34424758,0.32599664,0.31097928,0.29757568,0.28671095,0.28201044,0.28785476,0.3027437,0.32101426,0.33578274,0.34471628,0.34846452,0.347887,0.34119487,0.3267754,0.3074437,0.29220113,0.2895858,0.30102327,0.31779936,0.32954383,0.33065996,0.32423428,0.31708923,0.31638992,0.3260413,0.34587297,0.3712529,0.3956041,0.41396174,0.4256891,0.43260798,0.4351252,0.4294215,0.4100295,0.37451276,0.32592094,0.27098623,0.21666513,0.16840096,0.12935962,0.10030693,0.079728015,0.0653659,0.055762082,0.050840527,0.050918445,0.05572618,0.06397224,0.07431925,0.0861533,0.0999941,0.11604032,0.13300964,0.14768547,0.15677492,0.15876818,0.15466781,0.14681347,0.13723738,0.12706481,0.116521865,0.105714254,0.09485883,0.0849413,0.077445805,0.07420628,0.076428056,0.08409553,0.09533096,0.10676698,0.11470952,0.11650219,0.111273915,0.09962394,0.08322964,0.06450159,0.04639284,0.031713538,0.02204703,0.017144665,0.015218976,0.014266687,0.013069534,0.0115332715,0.010090347,0.00914883,0.008743172,0.008702763,0.008835406,0.009098795,0.009506443,0.0100517655,0.010703031,0.011537318,0.01284124,0.015034239,0.01857887,0.02399155,0.03262954,0.046744835,0.06874007,0.09708045,0.12504856,0.14188953,0.14101778,0.12339526,0.097508945,0.07392732,0.06580498,0.09086757,0.1661957,0.2921213,0.44040918,0.5653653,0.63382167,0.6446249,0.6227543,0.59423846,0.5713911,0.5504732,0.5204956,0.4695733,0.3955038,0.31140974,0.24620402,0.226373,0.2603062,0.329853,0.4079949,0.47491205,0.52460045,0.55293465,0.55133176,0.5154643,0.4569337,0.40089044,0.36781618,0.3595476,0.36200038,0.35720098,0.33402732,0.29135114,0.23854841,0.1935982,0.17492707,0.19041215,0.23070712,0.2780048,0.32246837,0.36842784,0.4223499,0.47522387,0.50532794,0.49809805,0.4625341,0.42345396,0.40068328,0.39593038,0.39545932,0.38178942,0.34324253,0.28193766,0.21408701,0.16572218,0.15658851,0.18955933,0.24826264,0.31243894,0.372021,0.4259582,0.47163042,0.49531102,0.48750734,0.4528772,0.41370463,0.38870582,0.38287628,0.3873862,0.392995,0.39534596,0.39378175,0.38636282,0.37253046,0.3548534,0.34058198,0.3347117,0.33943537,0.35572708,0.3858436,0.42723116,0.46596515,0.48341212,0.4711233,0.43963805,0.40813342,0.38859951,0.37921473,0.36928657,0.34737948,0.30686864,0.2513015,0.19616859,0.163342,0.16703813,0.20324855,0.25331318,0.30017674,0.342713,0.38812986,0.43668327,0.47076356,0.47418225,0.44739142,0.41193655,0.38747987,0.37891757,0.3752425,0.36239877,0.331189,0.28188917,0.22551538,0.18189609,0.16949487,0.19294626,0.23849738,0.28589356,0.32689258,0.36873046,0.4189695,0.4667555,0.48963046,0.47579297,0.43785787,0.40082195,0.3793334,0.37053013,0.35975453,0.33427882,0.28848153,0.2294309,0.17472833,0.1468397,0.15798408,0.20260479,0.26106447,0.31725225,0.36894047,0.41998383,0.4656767,0.48691568,0.4709672,0.42441618,0.37385902,0.34116915,0.33207273,0.33899817,0.35347208,0.37128338,0.38664958,0.39331743,0.38755503,0.37451398,0.3630315,0.36123952,0.37405944,0.4068071,0.45916238,0.5186944,0.5588633,0.5591039,0.5209394,0.46895504,0.4278635,0.40537748,0.3924645,0.37775505,0.3576502,0.33630028,0.32085124,0.31742013,0.32962516,0.35449156,0.38319024,0.40399107,0.41448247,0.42247257,0.43785915,0.45789877,0.46776533,0.45689127,0.42972445,0.40256596,0.38566402,0.37844992,0.37232575,0.36070928,0.3387507,0.30548015,0.2649859,0.23177661,0.22175062,0.24160685,0.2796384,0.31826976,0.34780672,0.37160888,0.3944339,0.41168332,0.4145372,0.39963278,0.37579712,0.3539076,0.33882168,0.3251728,0.30464733,0.27266806,0.23249537,0.19378509,0.16951919,0.1706057,0.19991553,0.24834426,0.29994324,0.34307954,0.37758145,0.4076358,0.4313986,0.4380658,0.42123723,0.38603452,0.3484033,0.321128,0.3096384,0.3120359,0.32483435,0.34322998,0.3612257,0.37215686,0.3713794,0.35715437,0.3313556,0.30116197,0.28078547,0.28766024,0.3273832,0.38444233,0.42579243,0.4275055,0.39017496,0.3377893,0.293959,0.2691941,0.26082346,0.26365757,0.27319443,0.28488433,0.29316667,0.29570904,0.29495168,0.29555535,0.29986355,0.30756557,0.31986806,0.3377695,0.35779157,0.36719656,0.35424647,0.31964064,0.28077105,0.25742832,0.25693348,0.27034244,0.28281215,0.2828038,0.26607233,0.23444201,0.19753061,0.1695595,0.16236906,0.17692362,0.20483607,0.23772831,0.27224407,0.3060011,0.33076015,0.33693567,0.3240095,0.30363414,0.28928676,0.28515494,0.2863001,0.2887011,0.2915418,0.29520372,0.29486573,0.28856573,0.27953446,0.27574456,0.27924547,0.28451812,0.28639033,0.28569278,0.28850815,0.29653367,0.30685446,0.31559905,0.32304856,0.33132023,0.34032714,0.3474122,0.35070422,0.35102716,0.35082734,0.35105047,0.35168436,0.35261688,0.35491148,0.3579614,0.36001897,0.36119175,0.37045053,0.3999269,0.45370087,0.51393825,0.55255294,0.55000824,0.5131233,0.46394825,0.42234218,0.39254203,0.3690504,0.34516641,0.31881335,0.29099667,0.26658413,0.25360504,0.2604667,0.28787306,0.32577494,0.3592488,0.37879348,0.38296354,0.37394586,0.3521745,0.32057682,0.28635025,0.26027286,0.24781637,0.2483502,0.25745946,0.27240065,0.29088488,0.30903378,0.32022244,0.31970015,0.30791983,0.29217163,0.28082776,0.27926055,0.28676832,0.29884753,0.30884576,0.31095532,0.303332,0.2899576,0.2760235,0.2630744,0.2469346,0.2264411,0.20623316,0.1955005,0.19821535,0.21234785,0.23368387,0.25999913,0.2891488,0.3147645,0.32888737,0.32814124,0.31830013,0.30904326,0.3056222,0.3048327,0.3003099,0.28982958,0.27721474,0.26855996,0.26743606,0.27539393,0.29159284,0.31304556,0.33211374,0.34044504,0.33443877,0.31855607,0.30162552,0.29076925,0.29080996,0.30690074,0.34110716,0.38602617,0.4212049,0.42878142,0.40573192,0.36683676,0.32753137,0.29415908,0.2657558,0.24307115,0.22966845,0.2258886,0.22669728,0.22766471,0.23152064,0.24534082,0.27054784,0.2970102,0.3126963,0.3151993,0.3159859,0.32583973,0.34527075,0.36386132,0.37292504,0.3712696,0.36369288,0.35511136,0.34806788,0.34344694,0.34070694,0.33872077,0.33628833,0.33337966,0.33047405,0.3278077,0.32608816,0.32782483,0.33781937,0.35753128,0.38225552,0.40022925,0.403012,0.3895401,0.36809412,0.3465861,0.3293202,0.31475684,0.30107608,0.28740907,0.27555194,0.26692906,0.26324096,0.26499626,0.27208766,0.2808024,0.2850012,0.28058568,0.27025637,0.26258835,0.26234493,0.26651523,0.26628065,0.2585261,0.24739836,0.24073268,0.24080746,0.24479406,0.24818416,0.24978459,0.25040135,0.25125206,0.25285843,0.25592366,0.2614765,0.27044007,0.28397453,0.30335906,0.3273635,0.3503138,0.36267182,0.3589153,0.34111547,0.31863555,0.29961726,0.28737688,0.2801937,0.27581403,0.2732104,0.2725599,0.27362713,0.27560258,0.27772403,0.27996048,0.2822998,0.28384554,0.28285423,0.27800474,0.26914608,0.25754437,0.24552286,0.23613594,0.23159833,0.23136024,0.23233622,0.23138219,0.22908516,0.22880022,0.23419328,0.24512005,0.2594715,0.27439353,0.28859022,0.30062,0.31006917,0.3175266,0.32511857,0.33293918,0.33922923,0.34083533,0.33795533,0.33264196,0.32780835,0.3232274,0.31717882,0.3085376,0.2985556,0.28948152,0.2818013,0.27556428,0.27188563,0.2734669,0.27970615,0.2848216,0.28211406,0.27132973,0.26130792,0.2623601,0.27867493,0.3047547,0.33156142,0.35180938,0.36298347,0.36501518,0.35821524,0.3424945,0.31800142,0.28670406,0.25313088,0.22502744,0.21057744,0.2138976,0.23136835,0.2551146,0.280666,0.31098384,0.34655884,0.3766233,0.3788408,0.34068254,0.269587,0.19134401,0.12778173,0.08753055,0.06613404,0.056643754,0.054088846,0.05610076,0.061225623,0.06781745,0.07358166,0.075546496,0.071848385,0.06375029,0.056816533,0.05697922,0.065601386,0.07628641,0.08053928,0.075181134,0.06668974,0.06532918,0.077027686,0.09843398,0.12036864,0.133691,0.13429947,0.123841256,0.10890687,0.09741175,0.094636194,0.09915468,0.10440449,0.103433274,0.094465055,0.08071842,0.06685326,0.055131752,0.045250278,0.03624837,0.028153704,0.021983603,0.018891387,0.019298578,0.022526337,0.027045662,0.031603202,0.036299523,0.042483017,0.051121593,0.061230868,0.07032285,0.077102594,0.08413837,0.097005345,0.11874763,0.14515476,0.16557917,0.17166503,0.1630729,0.1474552,0.1334693,0.12771189,0.13477531,0.15685357,0.19144662,0.22902949,0.25869873,0.27325645,0.27291238,0.26130983,0.24441205,0.23236729,0.24184108,0.28996888,0.37788618,0.4826996,0.56425744,0.5951347,0.5751278,0.5314594,0.49061474,0.46540472,0.4500384,0.43427464,0.41079247,0.3796761,0.3464904,0.32007745,0.30885944,0.31707132,0.34164783,0.37501392,0.41029343,0.44421208,0.47466722,0.49534848,0.5000111,0.4871354,0.46527895,0.4450067,0.43240222,0.425452,0.4186202,0.40788135,0.39151707,0.37082192,0.34918323,0.3346864,0.33528945,0.35509816,0.38871136,0.42737103,0.46465102,0.49767768,0.52373356,0.53485006,0.5280591,0.5048359,0.47694167,0.4513899,0.43185523,0.41258812,0.38671586,0.3477889,0.2965231,0.24331205,0.2060045,0.20056494,0.22988492,0.28109226,0.33555332,0.38268766,0.4228867,0.45848355,0.4825064,0.4849315,0.46302304,0.4296216,0.4011124,0.38884684,0.3939447,0.4162362,0.45218286,0.49402556,0.5236923,0.5258555,0.49520886,0.44290993,0.3850739,0.33711532,0.31054685,0.31449747,0.3510612,0.40950444,0.46837437,0.50681394,0.51733875,0.5074211,0.49165562,0.4798684,0.47294924,0.4637749,0.44428173,0.41076744,0.36881956,0.33163023,0.31365716,0.3210963,0.34832922,0.38381717,0.42024064,0.456671,0.49076977,0.5116021,0.50664955,0.47524646,0.43292794,0.39887068,0.38135365,0.37539372,0.37085858,0.3594053,0.3361651,0.30117974,0.26297668,0.2370419,0.2359212,0.2592192,0.29488838,0.33237767,0.37147245,0.41487983,0.45626533,0.47711077,0.4653684,0.42588016,0.38018575,0.34760737,0.33825183,0.35404706,0.39317873,0.44728425,0.49621296,0.516993,0.49792707,0.4501417,0.39682373,0.35936522,0.34697354,0.36423302,0.41007805,0.4758917,0.5354014,0.5611147,0.53986317,0.48810163,0.43375775,0.39974177,0.3920423,0.4092859,0.44483176,0.48739704,0.517389,0.52095824,0.49793398,0.4648869,0.43776867,0.42569175,0.43081936,0.45787415,0.5070169,0.56453013,0.600661,0.5916289,0.5393218,0.47093177,0.41650295,0.38780746,0.37904444,0.37742832,0.37506416,0.36966023,0.361941,0.3556796,0.35500285,0.36458752,0.3837123,0.40713796,0.42884108,0.44387957,0.4504255,0.4441631,0.4238745,0.3931357,0.36149716,0.33885828,0.32705092,0.32291105,0.31905708,0.3123804,0.3019617,0.290212,0.2791911,0.2713946,0.26766756,0.2694923,0.2780166,0.29863465,0.3354768,0.38538077,0.4315717,0.4517007,0.4366869,0.3975238,0.35804245,0.33379683,0.32533804,0.32323906,0.31874788,0.30899295,0.29546487,0.28256106,0.27655694,0.2821208,0.30002046,0.32409784,0.34725296,0.36642227,0.38396525,0.40252694,0.41920468,0.42877695,0.4288523,0.4226649,0.4157815,0.41038883,0.40611342,0.4008701,0.3945689,0.38815677,0.38301834,0.38013896,0.3800199,0.38257918,0.38735756,0.3939757,0.40510234,0.42429885,0.44978657,0.4689318,0.4649473,0.4336327,0.38933083,0.3521248,0.32944605,0.31292307,0.29389915,0.27116874,0.2489255,0.22705,0.20561965,0.191657,0.1968465,0.22449994,0.2620879,0.29313913,0.3143036,0.3345804,0.35856366,0.37216547,0.35775447,0.3142773,0.2636791,0.22818919,0.2119661,0.20270838,0.19059843,0.17628793,0.16516846,0.15765475,0.15323828,0.1562419,0.17468949,0.21044703,0.25525394,0.30016908,0.342689,0.38346788,0.41503993,0.42249623,0.39940885,0.35650647,0.3155841,0.28935507,0.2779956,0.27507117,0.27756718,0.2804095,0.27474982,0.25190833,0.21859749,0.19322175,0.19210327,0.21278632,0.24188626,0.27241322,0.30812338,0.35009995,0.3826604,0.3859055,0.35711232,0.31897435,0.3000575,0.31109667,0.34008917,0.3665901,0.3773465,0.3700858,0.34925947,0.3226792,0.30112043,0.29514098,0.30946532,0.3393302,0.37638676,0.41717723,0.46102476,0.5014343,0.5203267,0.50461394,0.45927063,0.40851322,0.37375295,0.36025092,0.35815227,0.35607767,0.3495985,0.34068593,0.33343658,0.3304344,0.33250177,0.33910277,0.34983492,0.36547816,0.38967073,0.42330524,0.46034202,0.48413137,0.4817482,0.45268357,0.41297236,0.37901342,0.35826433,0.34661126,0.3373346,0.32689598,0.3160665,0.30728996,0.30137214,0.29685488,0.29074848,0.2822356,0.27495733,0.2789133,0.3058122,0.3589891,0.42472097,0.47563592,0.4904295,0.46827713,0.42832395,0.39096895,0.36547592,0.34931442,0.33650032,0.3240752,0.31249562,0.30480465,0.30362558,0.30963334,0.32011107,0.3319062,0.34569326,0.36915827,0.40783358,0.45574406,0.4899617,0.48971677,0.45279923,0.40155378,0.36216664,0.34591565,0.34544948,0.34729162,0.3445845,0.33804178,0.33122027,0.32627282,0.32446197,0.3268726,0.33376002,0.34516764,0.36378488,0.3968877,0.4470196,0.50345343,0.5398791,0.53624696,0.49327052,0.4349718,0.38682607,0.3633863,0.3681856,0.40065405,0.4534835,0.50508946,0.52579826,0.4981545,0.43370864,0.3650869,0.3226988,0.31758103,0.3465878,0.40091744,0.4684538,0.5263824,0.5486009,0.5226146,0.46270493,0.39918938,0.3579621,0.34807625,0.3691425,0.41484475,0.47391668,0.52164537,0.53554124,0.5075516,0.45538878,0.40363023,0.37015274,0.35955894,0.37463185,0.41496885,0.47172794,0.52124983,0.54619914,0.5489555,0.5504264,0.5598102,0.56604105,0.5543368,0.53252107,0.52315426,0.5360145,0.553276,0.55420506,0.5400731,0.5317378,0.5396045,0.5513317,0.551583,0.5433374,0.54242176,0.5521117,0.5571669,0.5461871,0.52724725,0.5198048,0.5262294,0.5325567,0.5266167,0.5173317,0.5195517,0.5336127,0.5427317,0.53832597,0.5300312,0.5344555,0.54889625,0.5590022,0.5585427,0.5610884,0.58004516,0.60541826,0.61319155,0.58734655,0.5397001,0.4923718,0.46137014,0.44505683,0.433766,0.41747725,0.3909044,0.3574802,0.3302915,0.328695,0.36016193,0.4127184,0.45984402,0.48824129,0.50516516,0.52725166,0.55373245,0.56647927,0.54971397,0.5093184,0.4674133,0.44236907,0.43655828,0.4405212,0.44399175,0.4422004,0.43544412,0.42646,0.4194127,0.41794786,0.42395616,0.43654713,0.45564976,0.48427916,0.52468187,0.56981987,0.60108477,0.60027885,0.5654238,0.5134712,0.46721625,0.4383228,0.4246255,0.41675806,0.4084595,0.39902315,0.39383945,0.40133741,0.42905465,0.4742137,0.52169293,0.55075544,0.55462456,0.5450656,0.54136014,0.54783446,0.55149245,0.53790647,0.5082192,0.47752166,0.4592912,0.45492908,0.45600036,0.4534262,0.44380152,0.42929313,0.4144956,0.40290514,0.39597782,0.39390424,0.39818314,0.4119744,0.44001034,0.48153663,0.5278228,0.55982757,0.5629601,0.53511626,0.49312517,0.45708108,0.4401851,0.4404576,0.4488318,0.4552188,0.45512196,0.45011866,0.44744563,0.45623967,0.47888097,0.50779665,0.5279918,0.534025,0.53352743,0.54046065,0.55464625,0.5607098,0.54271865,0.5017859,0.45536315,0.42102957,0.40467802,0.4004443,0.3997117,0.3969457,0.39112473,0.38406244,0.37874392,0.37770557,0.38176534,0.3910642,0.40738264,0.4363604,0.48111844,0.53410643,0.5733254,0.5769643,0.54054445,0.4824728,0.4285966,0.3937092,0.37656915,0.36766836,0.35936382,0.34812427,0.3354899,0.32686183,0.33296123,0.35891786,0.4006599,0.44020474,0.46669325,0.48130223,0.49806046,0.5194968,0.5331058,0.5215816,0.48486793,0.44145975,0.41325822,0.40692958,0.4139904,0.42009756,0.41786835,0.40779808,0.39564684,0.38746354,0.38597512,0.3907636,0.39899513,0.4104918,0.4302281,0.46339646,0.50778,0.5459897,0.5585213,0.53716946,0.4950609,0.45240438,0.42211536,0.40455285,0.3945974,0.38626876,0.37193933,0.34576944,0.31329015,0.2951565,0.31055108,0.35818776,0.41207364,0.4487407,0.4661835,0.48153505,0.5041135,0.5235519,0.52372587,0.5009702,0.46818098,0.43878922,0.4181789,0.40396318,0.39095724,0.37142777,0.337083,0.28818598,0.24135546,0.22057183,0.23844601,0.28358665,0.33362117,0.37648714,0.41791666,0.4664038,0.514648,0.5428825,0.5375363,0.50472754,0.4633174,0.42844573,0.40430698,0.38748887,0.3717055,0.3504691,0.31936157,0.28565595,0.26844406,0.28661978,0.33841833,0.39908198,0.44254282,0.46472397,0.48138905,0.5052807,0.52853554,0.5345023,0.5155863,0.48265937,0.45180717,0.43263662,0.42494288,0.42448112,0.42805418,0.4331788,0.43758062,0.43937913,0.4391645,0.43970367,0.44455934,0.4564229,0.4779947,0.5089968,0.54332185,0.56664675,0.5663671,0.5412941,0.5047028,0.47237632,0.4525067,0.44502294,0.44958952,0.46581948,0.48884654,0.50508887,0.503138,0.4826698,0.45655453,0.43802488,0.43242827,0.43833336,0.45458832,0.4797186,0.5068271,0.52183586,0.51506156,0.48815563,0.45354256,0.4224552,0.40147316,0.3954405,0.40859735,0.43932936,0.47376332,0.49377474,0.48954248,0.46742454,0.44064823,0.41857174,0.40335274,0.39868936,0.4103447,0.43963063,0.4741617,0.49665412,0.49974334,0.49132654,0.4845533,0.48392794,0.48890415,0.49978772,0.5200816,0.5463113,0.56536454,0.5653756,0.5465475,0.52137625,0.5009476,0.48858964,0.48363078,0.4881215,0.5044106,0.5277824,0.5454359,0.5470472,0.5326311,0.51299614,0.49900165,0.49588728,0.5028172,0.5161527,0.5316983,0.5437221,0.5481825,0.5443373,0.53601027,0.5279851,0.52212983,0.51990694,0.52532446,0.5470667,0.5877628,0.6356223,0.66569585,0.6579233,0.6137313,0.55430204,0.50382984,0.47182497,0.45363978,0.43891618,0.4225903,0.4053818,0.39314047,0.39350197,0.41229394,0.44850644,0.49279737,0.5346201,0.57020766,0.6006631,0.62269974,0.6224145,0.58996063,0.53207785,0.47439742,0.43856177,0.428538,0.431182,0.43304145,0.42861053,0.41776535,0.4000609,0.37420714,0.34206674,0.30938926,0.28354624,0.27249882,0.28466308,0.3268166,0.39358702,0.46402916,0.5086008,0.51153654,0.47924754,0.43483326,0.39736187,0.37419835,0.36177456,0.35410216,0.34577516,0.33479643,0.32436815,0.3225286,0.33668503,0.36617425,0.40319443,0.43883482,0.47322264,0.5081182,0.54054606,0.5528935,0.5317997,0.47937596,0.42121148,0.3825141,0.37229288,0.3779955,0.38376546,0.38203073,0.37565032,0.36721584,0.35741904,0.34619746,0.33841515,0.33975485,0.354434,0.38305965,0.4249595,0.4737126,0.5155344,0.53056735,0.5097262,0.46109822,0.4084719,0.3704975,0.35205486,0.34415975,0.33670557,0.32464516,0.30963847,0.2976279,0.29661694,0.3119779,0.34071746,0.37221292,0.39667657,0.4171847,0.44335333,0.47865453,0.5064681,0.5068528,0.47440386,0.4286405,0.39401987,0.38117597,0.38237903,0.38380685,0.37646118,0.35674953,0.32481465,0.28604302,0.25325415,0.24089903,0.25488317,0.28857234,0.33131897,0.37825152,0.42764044,0.47140908,0.49150336,0.47586688,0.43011418,0.3771099,0.33730552,0.3178567,0.31291798,0.3139678,0.31487963,0.31349978,0.3115239,0.31541446,0.33233356,0.3635656,0.40072,0.4320867,0.45375982,0.4709567,0.4887775,0.50083846,0.4957727,0.47062013,0.43835652,0.4159448,0.41038808,0.41555157,0.42193028,0.42467487,0.42388794,0.41982743,0.41156802,0.39778784,0.37903342,0.35752365,0.33901533,0.33236286,0.34724367,0.3844588,0.4311985,0.4646401,0.4683154,0.44286656,0.4040517,0.3689823,0.34537387,0.3312035,0.31968343,0.30433503,0.28201267,0.25596988,0.23679012,0.23648596,0.25931466,0.29755834,0.3391091,0.37934017,0.42178842,0.465996,0.49667558,0.492902,0.44984767,0.38852087,0.34097052,0.32489255,0.3355619,0.35616326,0.37312338,0.379433,0.37286237,0.35577533,0.3366069,0.32471672,0.32191375,0.3221747,0.3226888,0.33238295,0.3627574,0.41081214,0.4539963,0.46894845,0.45091918,0.415858,0.38312235,0.3615283,0.3495033,0.3428981,0.33946493,0.33811238,0.33821717,0.34180775,0.3523897,0.3717951,0.3960977,0.42002788,0.44293115,0.4692379,0.49755383,0.5144684,0.5021559,0.4594275,0.4057071,0.36759245,0.35387507,0.35448608,0.3535581,0.34583274,0.33503997,0.32519665,0.31670544,0.3103023,0.3095896,0.3178661,0.33405533,0.35646102,0.3869605,0.42725274,0.4691498,0.49207577,0.4795171,0.43375304,0.37706625,0.33253264,0.31028506,0.30615252,0.31041598,0.31289303,0.3056179,0.28650084,0.26419482,0.25328588,0.2638885,0.2921081,0.3276583,0.36400807,0.4038898,0.44589925,0.47763655,0.4792118,0.44367602,0.38341406,0.3222825,0.27689236,0.25017485,0.23739612,0.23307432,0.23349215,0.23322332,0.22861435,0.22031188,0.21412946,0.21463214,0.22270529,0.23849003,0.2660131,0.30608812,0.3498167,0.3770423,0.37616074,0.35192207,0.3244407,0.30790436,0.30603233,0.3141946,0.32916632,0.34514523,0.35292447,0.34299538,0.319422,0.29701564,0.291247,0.30121246,0.31587502,0.32534888,0.3301612,0.33318767,0.3319181,0.32116786,0.30262667,0.28646854,0.28235915,0.2906207,0.30501232,0.32058978,0.33569703,0.3483379,0.35235366,0.34452593,0.3273094,0.30867615,0.29321638,0.28360465,0.28534868,0.31041697,0.36490563,0.4373047,0.49764195,0.52053374,0.50236005,0.46367323,0.42703804,0.4030839,0.3875003,0.3725439,0.3519077,0.32358673,0.2893568,0.2570155,0.23651475,0.23264986,0.2409796,0.25383928,0.27196217,0.30278397,0.34795702,0.39067173,0.4063833,0.38362738,0.3352758,0.28614295,0.25296855,0.23721947,0.23190238,0.23052286,0.22875918,0.22219197,0.20770733,0.18629043,0.16326433,0.1438275,0.1324045,0.1357538,0.1662855,0.22697861,0.30187154,0.35257447,0.35288092,0.303836,0.23799218,0.18420725,0.15454702,0.14233942,0.13933235,0.13972966,0.139718,0.13654482,0.13276869,0.13456944,0.145117,0.15978007,0.174375,0.19556485,0.23626034,0.29637614,0.35113224,0.36729106,0.3331314,0.26793715,0.20428999,0.16064502,0.13791978,0.12997758,0.13474633,0.15019275,0.16906434,0.18150644,0.18273365,0.17621152,0.16827424,0.16552569,0.17572547,0.21102397,0.27469316,0.3522049,0.40873984,0.41878796,0.38237858,0.32811105,0.28408933,0.2634509,0.26131263,0.26861358,0.2766824,0.2802507,0.27642325,0.26808366,0.26049128,0.25641033,0.25348037,0.25028273,0.25571188,0.2822921,0.33089378,0.37781397,0.3913695,0.3587061,0.29811913,0.2419635,0.210123,0.20301928,0.21103083,0.22668438,0.24455263,0.25864342,0.26400068,0.26133582,0.25558808,0.2496398,0.24257024,0.23678832,0.24532914,0.28000164,0.33662105,0.38607386,0.4016824,0.3774803,0.33603677,0.3008124,0.28291598,0.27821052,0.28109518,0.2886593,0.2998235,0.3126144,0.3256542,0.33896318,0.35319045,0.3680576,0.38415816,0.40489832,0.43360877,0.46611968,0.48877516,0.48690596,0.45903274,0.41784808,0.3809233,0.35593724,0.34110233,0.33129445,0.32629326,0.32804537,0.33522022,0.34018132,0.3341669,0.31298482,0.27998328,0.24436843,0.2221207,0.23383313,0.29039726,0.37801453,0.45391986,0.47858417,0.441653,0.37221396,0.30682835,0.26614434,0.24613641,0.23422338,0.22030862,0.20155416,0.18056405,0.16534644,0.164459,0.18078096,0.20683269,0.23342459,0.26001343,0.29724202,0.3492372,0.4018483,0.42589518,0.40630856,0.35406137,0.3003206,0.26692542,0.25685713,0.25843132,0.26155663,0.26115295,0.25497568,0.2408575,0.21988378,0.1973492,0.18014091,0.1734578,0.1825798,0.21523435,0.27225348,0.3385605,0.38182414,0.37911382,0.33424616,0.278258,0.23887801,0.22293244,0.21777023,0.21067984,0.1973039,0.17924708,0.15759243,0.1346357,0.11524615,0.104593076,0.10400334,0.11381006,0.14113271,0.19642854,0.2775118,0.35833374,0.40122995,0.38864216,0.33499706,0.27437723,0.22932659,0.20413108,0.19240431,0.19179831,0.20142514,0.21608825,0.22584696,0.22514798,0.21800677,0.21383707,0.21973754,0.23905563,0.27495325,0.3274554,0.38703385,0.43149257,0.44082496,0.41104066,0.35891828,0.30699217,0.2714211,0.2555977,0.2553184,0.26046348,0.26225945,0.25592944,0.24780725,0.24660504,0.25643644,0.26864854,0.27415338,0.27568397,0.29070258,0.33080363,0.38548055,0.42584953,0.433166,0.41272354,0.3872117,0.37190023,0.367609,0.3655504,0.3584732,0.3424479,0.31624803,0.28225967,0.2478434,0.22193046,0.20857458,0.20581861,0.2125956,0.23596793,0.2811359,0.33943617,0.38185748,0.38458708,0.34579083,0.29050842,0.2443629,0.22076075,0.22017373,0.24310799,0.2858574,0.33541837,0.36667296,0.36490783,0.33427992,0.2976427,0.27239013,0.2656366,0.27663633,0.3064215,0.3496331,0.38960576,0.4033567,0.384305,0.34653357,0.31338271,0.29425415,0.28638768,0.28754213,0.30317867,0.33468005,0.3674356,0.38005826,0.36394575,0.3317732,0.3039514,0.29238978,0.29846606,0.32177806,0.35905656,0.3983865,0.41901937,0.4126363,0.39511105,0.39224073,0.41021416,0.42607787,0.41852,0.39261135,0.37452316,0.3769927,0.3870431,0.38923454,0.38805676,0.40069255,0.42863634,0.4521507,0.45650947,0.45029926,0.4542996,0.47181463,0.48572102,0.48313168,0.47140276,0.46830156,0.47648695,0.48504832,0.48570788,0.48498538,0.490759,0.49902257,0.49814785,0.4871118,0.47811997,0.48230052,0.4955314,0.50685114,0.51533216,0.53021526,0.55554175,0.5752945,0.5679189,0.5251096,0.4631289,0.40726182,0.37456515,0.36582175,0.36952162,0.37178293,0.36163533,0.33794513,0.3086376,0.28867674,0.28902134,0.31168628,0.34934247,0.39577186,0.44835886,0.5029596,0.5439908,0.5496721,0.5106421,0.4418533,0.37504157,0.33372667,0.32120898,0.3230414,0.32361272,0.3134844,0.29261556,0.26723817,0.24963565,0.25181606,0.2790748,0.32465938,0.3767904,0.42916083,0.4822475,0.53360146,0.56795764,0.56919664,0.5366265,0.49172628,0.45927218,0.44867596,0.44957387,0.44396153,0.41954434,0.37534878,0.32192945,0.27624363,0.25528288,0.2659353,0.30302683,0.3531462,0.40815568,0.46711564,0.52815604,0.57630795,0.588494,0.5549533,0.4909697,0.4285837,0.39056766,0.37929213,0.38235092,0.38841975,0.39407682,0.3997234,0.4043747,0.40441898,0.39933416,0.39288434,0.39317152,0.40650356,0.4388533,0.48782027,0.5425088,0.57807755,0.57612187,0.5351762,0.4782119,0.42987454,0.40240717,0.38959253,0.37954852,0.36288515,0.3373042,0.3055842,0.27561772,0.25679448,0.25665358,0.27615023,0.3114963,0.35923564,0.41845682,0.48472252,0.5423631,0.56889683,0.5524193,0.50392,0.4510437,0.4161874,0.40315667,0.39980248,0.39207435,0.3729848,0.34407043,0.31274465,0.28985372,0.2858739,0.30487463,0.3418064,0.38634977,0.43324193,0.48134968,0.5273497,0.55454564,0.5458285,0.49744484,0.4303273,0.37204584,0.3398933,0.3308729,0.3321838,0.3320048,0.3260394,0.31675065,0.31070706,0.31537008,0.3343142,0.3652782,0.40185955,0.44003376,0.47946644,0.51853895,0.5482383,0.5557305,0.5365842,0.5009039,0.46703914,0.44733238,0.44212183,0.4437015,0.44482803,0.4429023,0.43924108,0.43631735,0.4355421,0.4367344,0.43866798,0.4417665,0.4492104,0.46693847,0.495016,0.52350974,0.5328157,0.511688,0.4670794,0.42303273,0.40002272,0.40353718,0.42528346,0.4550208,0.4821585,0.4945915,0.47952974,0.43821132,0.3896449,0.36147407,0.36774886,0.40194407,0.44755828,0.49179402,0.52744436,0.54498124,0.53382415,0.4937398,0.44133317,0.40047836,0.3853564,0.39422968,0.4186267,0.44961968,0.4787759,0.49205133,0.4789773,0.44225702,0.40196875,0.37976277,0.3848401,0.41112602,0.44959068,0.4907578,0.52427816,0.53361535,0.5119756,0.46820927,0.42708573,0.40691996,0.41184673,0.43303904,0.4622676,0.49082935,0.5078406,0.49859175,0.4603748,0.40758505,0.3667952,0.35530916,0.373152,0.4090208,0.45188233,0.49252328,0.5184396,0.5167866,0.48585233,0.44105864,0.40499708,0.39196217,0.40103868,0.42518842,0.45557868,0.48408118,0.49694872,0.48474133,0.4492097,0.40774977,0.3790433,0.37234667,0.38498238,0.4122682,0.44802582,0.48354614,0.5023003,0.4945639,0.46366182,0.4293517,0.40943745,0.41128108,0.42977893,0.45738125,0.4854034,0.5039104,0.5010207,0.47425058,0.4348766,0.4038715,0.39602908,0.41152272,0.4410483,0.47383842,0.5021366,0.5168212,0.5094427,0.47898224,0.43637785,0.39856383,0.37759545,0.3752718,0.38899207,0.41334808,0.44152358,0.4600501,0.45817494,0.43621814,0.40892017,0.39377454,0.3981028,0.41858196,0.44896182,0.48242474,0.5091279,0.51469773,0.49509045,0.46294376,0.43937978,0.43300772,0.43312812,0.4282436,0.4196035,0.41872796,0.42734066,0.43482056,0.43316522,0.4278429,0.42958507,0.43730712,0.43979836,0.43304607,0.42730787,0.4342649,0.44925368,0.45671284,0.4501512,0.43910953,0.4357822,0.43759432,0.43432787,0.42398846,0.41706657,0.4212577,0.42905018,0.42843437,0.41880026,0.41259173,0.41787288,0.42827094,0.43510568,0.44204304,0.46132043,0.4931573,0.5169532,0.51015514,0.4688642,0.41302946,0.3658178,0.3397093,0.33269987,0.33740136,0.3449347,0.3482568,0.3441906,0.33797586,0.33921763,0.35450014,0.3803862,0.40933803,0.43897042,0.4725686,0.509165,0.5351208,0.53414226,0.50270396,0.456592,0.41809857,0.4001584,0.40097412,0.41013846,0.41746223,0.41708696,0.40836886,0.39495274,0.38321257,0.37900865,0.3849442,0.40067136,0.42572388,0.46143398,0.5036049,0.5387688,0.54594547,0.5175272,0.46602464,0.4185952,0.39097807,0.38036653,0.37216902,0.35678938,0.3327516,0.30351102,0.2751793,0.25894523,0.2664602,0.3008509,0.3506293,0.40015247,0.44256297,0.48167005,0.51917696,0.54406285,0.54118437,0.5063156,0.45433864,0.40688396,0.37850153,0.36969742,0.3733673,0.38135526,0.38881138,0.39356437,0.39616427,0.3986216,0.40346372,0.41234836,0.42636323,0.44737163,0.47673917,0.5111831,0.53900766,0.54501677,0.52079695,0.47290573,0.41795543,0.3730477,0.34598935,0.3358415,0.33401465,0.32982287,0.31546608,0.29348293,0.27872756,0.28804412,0.32698718,0.38227367,0.4351181,0.47584906,0.5079363,0.53446597,0.54803246,0.5374983,0.5022096,0.45730093,0.4221886,0.40703127,0.4085851,0.41654077,0.42175147,0.42051324,0.41444138,0.40826407,0.40630662,0.41054413,0.42041826,0.43582162,0.45830032,0.489808,0.5257928,0.5541389,0.55933064,0.5366163,0.49508345,0.45285693,0.42198756,0.40444747,0.39496955,0.38918492,0.3857087,0.385371,0.38910756,0.39811972,0.4120706,0.42876408,0.4438934,0.45644033,0.47105458,0.49242663,0.51580125,0.5232393,0.50013703,0.44935107,0.39358923,0.35460365,0.33857188,0.33720705,0.3409691,0.34567806,0.34871623,0.34684733,0.33974192,0.33349597,0.3348219,0.34431586,0.35729375,0.3743998,0.40323058,0.4471492,0.49224064,0.51314646,0.4951677,0.44744432,0.39495602,0.3572724,0.33837834,0.33086625,0.3254396,0.3163507,0.3034575,0.29273057,0.29524648,0.3166828,0.3524575,0.3872449,0.4131529,0.43608925,0.46782565,0.5057664,0.5270371,0.5112125,0.4588103,0.3960273,0.34886432,0.32850316,0.32780167,0.3354118,0.34303418,0.3469878,0.3455322,0.33904865,0.33052063,0.32439157,0.32439223,0.33387494,0.35753155,0.39904037,0.45282897,0.500431,0.5189356,0.50009763,0.45703235,0.41491708,0.39025566,0.3838919,0.38559854,0.3861172,0.38078654,0.37152347,0.36343113,0.36517116,0.37920392,0.40162134,0.42114806,0.43580142,0.45300052,0.48272482,0.5183015,0.5364599,0.5165127,0.45879677,0.3871162,0.32869434,0.30148235,0.310019,0.3514658,0.41319397,0.47229743,0.50160956,0.48806044,0.44099793,0.38641194,0.34750184,0.33565497,0.35146642,0.39064506,0.44163725,0.48565564,0.504769,0.49917194,0.48575795,0.48298597,0.48997822,0.49512553,0.49244738,0.4904116,0.49475208,0.49795863,0.48786774,0.46813765,0.455045,0.45917165,0.4709438,0.47729686,0.47850466,0.48603764,0.5019633,0.5113754,0.5021473,0.48089144,0.46659914,0.46707097,0.47184873,0.4707751,0.4670684,0.47188255,0.48416582,0.4911052,0.4843737,0.47134796,0.4639287,0.46303058,0.45968524,0.4530522,0.45335603,0.4690512,0.4902707,0.49959347,0.49224818,0.481499,0.48120132,0.48917505,0.49477616,0.4952084,0.4974247,0.5040155,0.5055177,0.4933838,0.47443318,0.46435142,0.47016323,0.48056045,0.48362923,0.48108748,0.48640084,0.5068966,0.53285795,0.55026835,0.55219847,0.54547936,0.53947824,0.5377477,0.53838664,0.53636694,0.5308003,0.522005,0.5117152,0.5013667,0.49183202,0.48553196,0.48466432,0.4909784,0.5067788,0.53011894,0.55792916,0.57721406,0.5784919,0.55693275,0.52456826,0.49662223,0.48241755,0.47705603,0.4688462,0.45013395,0.42105523,0.3904253,0.37108555,0.37683526,0.41161785,0.46505943,0.51608616,0.55073005,0.57047087,0.585295,0.59643835,0.5927693,0.5654933,0.52112144,0.4791783,0.45444885,0.44741046,0.44654885,0.43960157,0.4208968,0.3928355,0.36387262,0.34345043,0.33844042,0.34887922,0.3711646,0.40069804,0.43764186,0.48002568,0.5205552,0.54369307,0.5417928,0.5221373,0.50663656,0.5112075,0.5356535,0.5623432,0.5707515,0.54693455,0.4920741,0.42148638,0.36169398,0.33708882,0.35684252,0.4080039,0.46610236,0.5139405,0.54930735,0.5756488,0.58657736,0.5692583,0.5200935,0.456771,0.40608642,0.38414708,0.3854009,0.39306358,0.39336404,0.3828131,0.36557055,0.3485719,0.34223735,0.3547062,0.39001665,0.43985334,0.49358407,0.5417545,0.5817607,0.60835797,0.6130553,0.5914259,0.552031,0.5138127,0.49152067,0.4864482,0.48850504,0.4836471,0.46114984,0.41715813,0.3614513,0.31742942,0.31058946,0.3494517,0.41640922,0.4835705,0.5343544,0.57056314,0.59595704,0.60284156,0.5798009,0.5292175,0.47207567,0.43117285,0.4146311,0.41337958,0.41158506,0.39643097,0.3615742,0.31023034,0.2555817,0.21944316,0.21919735,0.25855064,0.3238238,0.39805844,0.4700439,0.53496975,0.58382195,0.604568,0.5942275,0.56832147,0.5510388,0.556156,0.57672554,0.59238577,0.58272374,0.5375771,0.46263385,0.3797842,0.3234552,0.32125437,0.37873945,0.47012147,0.56021875,0.6237238,0.6560032,0.6588617,0.6329041,0.58299136,0.5275189,0.4899427,0.48134863,0.49087572,0.5024455,0.5064196,0.5052236,0.5001792,0.49241114,0.48627603,0.4921856,0.5162463,0.5516188,0.5832185,0.6016496,0.60669285,0.59826684,0.5661958,0.49831292,0.39620075,0.2809894,0.18111485,0.114035994,0.08071817,0.07069359,0.07188804,0.07462356,0.075173765,0.07696593,0.09067449,0.12151253,0.16125505,0.18837541,0.19273502,0.18747292,0.19853048,0.23277561,0.26572534,0.26555613,0.22288336,0.15930621,0.10280442,0.067436084,0.050317746,0.044345308,0.04566695,0.051759616,0.058188975,0.061001424,0.06138158,0.06504849,0.074553266,0.08647271,0.09711508,0.11353978,0.14730029,0.19849692,0.24364829,0.25286373,0.21564062,0.15110098,0.08983475,0.050055366,0.031229043,0.023512304,0.019362664,0.01597405,0.013076876,0.010615297,0.008738065,0.008633596,0.013166085,0.025617952,0.04689734,0.072480075,0.09424597,0.10500429,0.10374687,0.094044484,0.08085212,0.067091934,0.05493168,0.04604128,0.04102311,0.038781088,0.037906535,0.03853329,0.041331246,0.045585364,0.048599754,0.04804914,0.04425339,0.039935704,0.041655045,0.060646635,0.11467135,0.21281004,0.34351313,0.46800026,0.54907364,0.57375497,0.56263185,0.544264,0.53495336,0.53112406,0.5190193,0.48429945,0.4208504,0.3382102,0.2631625,0.23012604,0.2569606,0.33289027,0.42155147,0.4944028,0.5444019,0.5832099,0.6134746,0.62328225,0.6011553,0.5515288,0.49533954,0.4502326,0.42285466,0.40551555,0.3854752,0.35012138,0.29583895,0.23258598,0.1828262,0.17016973,0.20518921,0.2787085,0.36874035,0.4562719,0.5309674,0.5876669,0.6157175,0.6066715,0.56264,0.5031076,0.4500254,0.4160184,0.39833263,0.38690698,0.37093294,0.3442135,0.30818462,0.274801,0.26421848,0.2910067,0.35196424,0.42397448,0.48531374,0.5312205,0.57220006,0.61291146,0.64144635,0.6431097,0.6161208,0.57641894,0.54095626,0.5182226,0.5062316,0.5002485,0.49738646,0.49692073,0.49958482,0.5050934,0.5136248,0.5244437,0.538245,0.55481595,0.576031,0.6014238,0.62625426,0.6373679,0.6222679,0.58056074,0.52796334,0.48526242,0.46200827,0.45267496,0.44290617,0.41979122,0.37680948,0.31773105,0.25934166,0.2280882,0.24400453,0.30510655,0.38495198,0.45555377,0.50640297,0.54427356,0.57189655,0.5778036,0.550894,0.4984597,0.4451903,0.4117441,0.40009865,0.39803627,0.3912443,0.3703431,0.331367,0.27859923,0.22854125,0.20403747,0.2194121,0.26847392,0.3300755,0.38820222,0.4410883,0.49360132,0.53833175,0.5579362,0.5415944,0.50054085,0.45896122,0.43439722,0.42695227,0.42486706,0.4155161,0.39010343,0.34746864,0.29645306,0.25889632,0.25600544,0.29483652,0.35833672,0.4240762,0.4804218,0.5323751,0.5823567,0.619301,0.62687606,0.60219246,0.56176317,0.5268026,0.50761646,0.49960014,0.4927316,0.48092532,0.46488333,0.44899312,0.43716976,0.43062618,0.42736527,0.42331317,0.41444933,0.39972427,0.38378844,0.3771182,0.39319518,0.4385233,0.5044559,0.5653572,0.59570867,0.5870783,0.55474114,0.5208522,0.4984982,0.4868915,0.48081982,0.47768447,0.4763964,0.47553968,0.47242358,0.46751174,0.46241704,0.4600294,0.46025813,0.46226206,0.46409604,0.46521208,0.46542665,0.46441102,0.46087325,0.45267522,0.4384378,0.4184741,0.3957473,0.37449852,0.35855234,0.34943363,0.34650669,0.34800878,0.3524233,0.3587649,0.36611447,0.37335077,0.37920055,0.383111,0.38459218,0.3826537,0.3751575,0.36043835,0.33892787,0.3132751,0.28752244,0.26551738,0.2510194,0.24588351,0.24951024,0.2579532,0.26661992,0.27230886,0.27484623,0.2759802,0.27773038,0.2807403,0.2838433,0.28503916,0.28320685,0.2789618,0.27419353,0.2702948,0.26769456,0.2658354,0.2643949,0.26322195,0.26245537,0.26190042,0.26113108,0.25958934,0.25723302,0.25469252,0.25293967,0.25223252,0.25185305,0.25065425,0.24842674,0.24610306,0.24505131,0.24569958,0.247254,0.24826837,0.24771927,0.24556051,0.24227871,0.23802845,0.23166758,0.22151631,0.20639944,0.18732049,0.16692603,0.1489333,0.13636608,0.13102926,0.13260406,0.13898425,0.14715248,0.15453576,0.1599588,0.16311093,0.16431491,0.16382752,0.16234551,0.16039346,0.15829404,0.1558776,0.15309629,0.1503046,0.1479791,0.14637013,0.14527445,0.14445238,0.1435764,0.14243785,0.14092551,0.139526,0.13916327,0.14048408,0.14242016,0.14140595,0.13302991,0.11515009,0.090579055,0.0653598,0.045088228,0.03164193,0.023776913,0.019179313,0.016132152,0.013733921,0.01161033,0.009709731,0.00815591,0.0069972225,0.0061703697,0.0054729306,0.004785529,0.0040684654,0.00338961,0.0028086714,0.0023469531,0.0019915388,0.0017065782,0.0014676447,0.0012511117,0.0010631135,0.0009080035,0.0007902984,0.0006952076,0.0006112021,0.00052992615,0.00044917324,0.0003670908,0.0002844912,0.00020772002,0.00014486667,0.00010319892,8.601659E-05]