[0,0,0,0,0,0,4.218249E-15,3.708931E-09,1.1807649E-07,7.609737E-07,2.9823332E-06,8.509404E-06,1.9338628E-05,3.696427E-05,6.163543E-05,9.2625654E-05,0.00012860612,0.00016881397,0.0002122677,0.00025808837,0.0003045895,0.0003513261,0.00039898977,0.00044966605,0.0005044145,0.00056217256,0.000620743,0.00067812536,0.0007342458,0.000787859,0.0008366159,0.0008777641,0.00091278245,0.0009467664,0.0009837886,0.0010230166,0.0010592331,0.0010877793,0.0011081481,0.0011262946,0.0011546275,0.001206536,0.0012845314,0.0013738292,0.0014478263,0.0014916119,0.0015117276,0.001533432,0.0015743723,0.0016347207,0.0016987049,0.0017521991,0.0017919278,0.0018205154,0.0018444994,0.001867963,0.001904515,0.0019608801,0.0020368525,0.0021090398,0.002161681,0.002191818,0.0022217717,0.0022660072,0.0023251346,0.0023810558,0.0024232168,0.0024541058,0.0024898204,0.0025388403,0.0025975897,0.0026513245,0.0026964666,0.0027417317,0.0028059261,0.0028903352,0.0029819934,0.0030535255,0.0030960178,0.0031122437,0.003121956,0.0031304455,0.0031364753,0.0031281915,0.0031054346,0.0030769568,0.0030603688,0.003073023,0.003122325,0.0032022821,0.0032885026,0.0033589934,0.0034023963,0.0034310378,0.0034620957,0.0035123287,0.0035878895,0.003687229,0.0037995416,0.0039060265,0.0039908416,0.0040473635,0.004081141,0.0041007944,0.0041122553,0.004119498,0.0041223224,0.004118938,0.0041035446,0.0040767323,0.0040447186,0.004019132,0.004009463,0.0040245745,0.004075894,0.0041723605,0.0043118433,0.0044685896,0.004606459,0.004691629,0.0047145686,0.0046827053,0.0046255384,0.0045824074,0.0045949407,0.0046722833,0.0047800033,0.00486213,0.0048877117,0.004874092,0.004858764,0.0048680804,0.0049000215,0.004946222,0.0049905144,0.0050165043,0.005000442,0.0049467473,0.004882906,0.0048496737,0.004850881,0.0048601925,0.004845912,0.004811366,0.0047882604,0.004803645,0.0048612333,0.004942818,0.0050317943,0.005105453,0.0051441733,0.0051325653,0.005087236,0.0050324523,0.004983445,0.004925512,0.004853344,0.0047858413,0.0047598784,0.0047874614,0.0048442944,0.004892229,0.004913091,0.004922124,0.0049447003,0.004993765,0.005050073,0.0050826,0.0050618593,0.004989156,0.004889201,0.0048028217,0.00475521,0.0047485526,0.004772733,0.00483063,0.004937457,0.0050918027,0.0052522444,0.005355392,0.0053649466,0.005294477,0.0051907077,0.005084451,0.004984081,0.00488429,0.004800392,0.004755836,0.0047706687,0.004838994,0.0049367812,0.0050320397,0.0051029697,0.0051472434,0.0051847,0.005228305,0.005271125,0.005275169,0.0052243746,0.0051357783,0.0050659743,0.0050490596,0.0050726472,0.0050864033,0.0050492217,0.004982721,0.0049522896,0.005037244,0.005234553,0.0054676514,0.00560269,0.0055780434,0.0054096584,0.00519074,0.0049841595,0.004823601,0.004708867,0.004650202,0.0046556904,0.004725141,0.004838202,0.004962038,0.005063165,0.0051309927,0.005173368,0.0052047544,0.0052148574,0.00518691,0.0051204585,0.0050520827,0.005027913,0.0050701597,0.0051572626,0.0052400227,0.0052718725,0.0052482393,0.0052060583,0.0051980983,0.005237242,0.0052968585,0.005333632,0.0053420565,0.005343273,0.005370699,0.005419226,0.0054518464,0.005420062,0.005323378,0.005232071,0.0052312464,0.0053519756,0.00552016,0.005632784,0.0056173583,0.0054870076,0.00530138,0.005124695,0.0049879705,0.004877433,0.004778177,0.004695941,0.0046765613,0.004752863,0.0049195685,0.0051285983,0.0053240745,0.0054688733,0.005542302,0.005539593,0.005467707,0.0053590387,0.0052595325,0.005207607,0.005204227,0.005217385,0.005219797,0.0052134455,0.005227571,0.005268367,0.005319834,0.005346229,0.0053295344,0.0052616224,0.005149747,0.0050221384,0.0049239285,0.004916416,0.005038297,0.005293386,0.005602669,0.005836962,0.0058729337,0.0057067466,0.005456234,0.0052855746,0.005269911,0.0053576604,0.005424759,0.0053918515,0.005277747,0.005186127,0.005194006,0.0053014574,0.0054054633,0.0054197884,0.005318983,0.005182844,0.00509585,0.005097468,0.0051386557,0.005136357,0.0050383355,0.0048627215,0.004678771,0.0045475587,0.004496926,0.004527846,0.004633775,0.0047908504,0.0049511096,0.0050545423,0.005068703,0.004999766,0.0048913476,0.0047867824,0.004723334,0.0047058105,0.0047263936,0.0047568497,0.0047882055,0.0048173633,0.004855625,0.004894953,0.0049230387,0.0049322248,0.0049369126,0.004957896,0.004993925,0.005012508,0.004966795,0.004838243,0.0046564,0.004494687,0.004424507,0.004478323,0.004621994,0.0047866665,0.0049090236,0.004971394,0.004984386,0.0049591702,0.0049010897,0.004825598,0.0047756173,0.004784696,0.004860629,0.004961123,0.005036102,0.005041767,0.004980991,0.004882432,0.004780631,0.0046802964,0.0045756428,0.0044828965,0.004444592,0.0044828616,0.00456923,0.0046675485,0.0048268368,0.0054711406,0.00780555,0.014229347,0.027266001,0.047170896,0.06958789,0.08792756,0.0999316,0.11300794,0.13980885,0.18550433,0.23865426,0.2757872,0.2782052,0.24461772,0.19124268,0.13862875,0.09993339,0.076272056,0.062011898,0.051237654,0.041897465,0.035004202,0.032137595,0.033273455,0.03666881,0.04073505,0.045744795,0.05359595,0.06470368,0.07626263,0.083434574,0.08391729,0.07928824,0.07324114,0.06710686,0.059791103,0.04980922,0.038382392,0.02840627,0.022430412,0.02076911,0.021915264,0.023716392,0.024473004,0.023918727,0.022767298,0.02200074,0.021416046,0.020179763,0.017571146,0.014036886,0.010569576,0.008030687,0.0065680705,0.0059027937,0.0056525036,0.0055914447,0.005606007,0.0056491233,0.0056749806,0.0056595556,0.0055876635,0.0054625818,0.0052947216,0.005114606,0.0049563493,0.0048384094,0.004751113,0.0046715513,0.004588548,0.004493357,0.0043905634,0.004289242,0.0042242045,0.004215401,0.004263554,0.0043405257,0.0044288784,0.004516953,0.004597205,0.004645549,0.004646588,0.0045933262,0.0045078546,0.004411204,0.0043288567,0.0042581162,0.0041929,0.004124176,0.0040724482,0.004060181,0.004101192,0.004183454,0.004298875,0.004451895,0.0046459795,0.0048573012,0.0050288267,0.0051095523,0.0050876755,0.0050073024,0.004943039,0.0049671293,0.0051363097,0.005480695,0.0059865764,0.0065655303,0.0070845974,0.0074699665,0.0077792914,0.008162283,0.008690529,0.009297271,0.009825871,0.010220386,0.0105484575,0.010952271,0.011475361,0.012060352,0.012608655,0.013087829,0.013512912,0.014082302,0.015875565,0.02126518,0.033302598,0.052468896,0.07509592,0.09381049,0.10440782,0.10966564,0.121023744,0.14927477,0.1973332,0.25495023,0.30680925,0.3417116,0.35978618,0.36902168,0.37762272,0.38744628,0.39299616,0.3863999,0.36351407,0.32806054,0.2914504,0.26843652,0.27147266,0.30218455,0.35032156,0.39716873,0.42937282,0.44334996,0.44462875,0.43741655,0.42270222,0.39969468,0.37009668,0.33787477,0.3080777,0.28703034,0.28117362,0.29396132,0.32079554,0.3487327,0.36237583,0.3539885,0.33054137,0.3090258,0.30463174,0.31826794,0.3389208,0.3523105,0.3524479,0.34216478,0.32954684,0.32069632,0.31575128,0.30884314,0.29317155,0.26843128,0.2442689,0.2336876,0.24170439,0.25837922,0.2679092,0.26203486,0.2477168,0.2389973,0.24641097,0.27010986,0.3024657,0.33285365,0.35411277,0.36450493,0.3670161,0.36479685,0.35947517,0.35105744,0.33933195,0.32345688,0.30172396,0.27231875,0.23544377,0.19439684,0.15487318,0.121998675,0.09819957,0.08241823,0.07205386,0.06448378,0.05820836,0.052414227,0.046848893,0.04154476,0.03673022,0.032592665,0.029083023,0.026071666,0.023404276,0.02109442,0.019238696,0.017991336,0.017402353,0.0172776,0.017224668,0.016783943,0.01576217,0.014275994,0.012697124,0.0113277,0.010276414,0.0094606355,0.008790019,0.00886672,0.01144297,0.019728241,0.03553886,0.057207037,0.0780528,0.09198264,0.098844,0.10769808,0.13107058,0.17395349,0.2280214,0.27322242,0.29401657,0.28865317,0.27353942,0.26912498,0.28713283,0.3220611,0.35511377,0.36721823,0.34855855,0.30520305,0.25270942,0.2091925,0.18391067,0.17479151,0.17127682,0.16576265,0.15945067,0.16172285,0.1791917,0.21000834,0.24269922,0.26610076,0.2751417,0.27417862,0.27068254,0.2703027,0.27299985,0.27562574,0.27559376,0.2741002,0.2746601,0.2800661,0.2900832,0.30237308,0.31336403,0.31848404,0.31240812,0.292989,0.26499137,0.24048406,0.23058237,0.23807114,0.2541701,0.2664787,0.26672128,0.2568513,0.24658902,0.24658497,0.26057947,0.28188428,0.30008325,0.3083376,0.30848286,0.305604,0.30311716,0.298988,0.28891027,0.2706591,0.24805562,0.22923027,0.22034748,0.22066168,0.2230527,0.22015911,0.20765643,0.18524759,0.15475126,0.12087119,0.08977895,0.06705891,0.05417083,0.048576087,0.04594159,0.043198917,0.03945571,0.035297636,0.031540852,0.028575324,0.02644684,0.02494853,0.02381207,0.022611653,0.02114279,0.019393658,0.017707042,0.016350484,0.015444352,0.014815497,0.014239266,0.01362235,0.013050615,0.013020338,0.014681473,0.020420246,0.033189304,0.054806802,0.08356791,0.11387453,0.13888435,0.15459575,0.16197836,0.16478415,0.1650017,0.16113652,0.15045781,0.13429122,0.11875167,0.113132395,0.12439724,0.15445745,0.19746035,0.24191177,0.27579793,0.29353,0.29838553,0.29806527,0.29815102,0.29862866,0.2966652,0.2904781,0.28123233,0.2709197,0.2606828,0.2500061,0.2379243,0.2230194,0.20485991,0.18602575,0.17410499,0.17892064,0.20462579,0.2439508,0.27953103,0.295581,0.28731912,0.26433882,0.24201326,0.23204625,0.23615511,0.24792139,0.25941926,0.265926,0.26942095,0.27476624,0.28746966,0.30712402,0.32883593,0.3450967,0.35207704,0.350904,0.34651133,0.34436706,0.34713197,0.3532982,0.35817894,0.35720477,0.3492426,0.33796313,0.33015254,0.33255234,0.34618846,0.36548445,0.37929502,0.37858474,0.36061165,0.33058295,0.29719305,0.26705047,0.24234362,0.22219265,0.2078573,0.2041292,0.21647839,0.24353187,0.2748803,0.29570344,0.29740623,0.2816216,0.25709128,0.23107189,0.205815,0.18036427,0.1537985,0.12720644,0.102090634,0.08049193,0.06354432,0.05183709,0.04447547,0.039942514,0.03670453,0.033873994,0.03124439,0.028976055,0.027406508,0.026581021,0.026196545,0.025609031,0.024427952,0.022675136,0.020819705,0.019285746,0.018390544,0.018346144,0.01937534,0.02140945,0.023723809,0.025231874,0.025227705,0.024199879,0.02388438,0.026658356,0.03507518,0.049812913,0.06915604,0.0881493,0.10254831,0.110928364,0.117563464,0.13001297,0.1549828,0.1921496,0.23362523,0.2707151,0.30270496,0.3352429,0.3712329,0.40277743,0.41841125,0.41250977,0.39100388,0.36374322,0.33900538,0.3205367,0.31146118,0.3132117,0.32510927,0.34103,0.3543279,0.35991216,0.35917318,0.35558498,0.3533325,0.35282615,0.35311309,0.3523918,0.35022202,0.34685716,0.34232056,0.3360132,0.3251201,0.3071226,0.2808473,0.25206468,0.23073001,0.22839303,0.24808498,0.2843324,0.32366097,0.35438228,0.36828217,0.3645871,0.34630847,0.32087776,0.2947276,0.2720821,0.2526091,0.23662418,0.22765706,0.23215282,0.25256154,0.28325334,0.31388295,0.33661222,0.350785,0.35996237,0.36781082,0.374172,0.37470672,0.362259,0.33280846,0.29123572,0.25176036,0.22911745,0.22851527,0.24295218,0.2607983,0.27406892,0.28129187,0.28289798,0.27820602,0.26493827,0.24234779,0.21190502,0.17679481,0.14081089,0.107725054,0.080826044,0.061519686,0.04920252,0.041815955,0.03754669,0.035376813,0.035082385,0.036346722,0.038377408,0.039984975,0.040772647,0.04226933,0.047886476,0.060518146,0.07932604,0.09945607,0.115853906,0.12876724,0.14316697,0.16464232,0.19399035,0.23000164,0.27119717,0.31745237,0.3654637,0.41090187,0.45135102,0.49040392,0.5301757,0.5658551,0.583947,0.5760646,0.5453158,0.506874,0.47397304,0.4526919,0.4406798,0.4341584,0.43072578,0.43226743,0.44378933,0.46991155,0.506316,0.5377527,0.5442791,0.51750284,0.4662594,0.41209912,0.37365273,0.35863483,0.361932,0.3717613,0.3777648,0.3796812,0.38975373,0.42272356,0.4780573,0.53157717,0.5484135,0.51120824,0.43404213,0.35254475,0.2957164,0.27125785,0.2674737,0.2695677,0.270331,0.27490148,0.29593086,0.34287128,0.40789676,0.46288422,0.47439647,0.429888,0.3478484,0.26442486,0.20623599,0.1779086,0.16767412,0.16250439,0.15867013,0.1639555,0.19506794,0.26406547,0.36349812,0.45913675,0.509275,0.49530587,0.4352318,0.36755237,0.31926337,0.2952455,0.2847472,0.27904236,0.2760111,0.28141597,0.30487224,0.3522134,0.413651,0.46068916,0.46221077,0.40927455,0.32199723,0.2339253,0.16660784,0.12318716,0.095060684,0.07506913,0.062851086,0.06638289,0.09988945,0.17031421,0.26519522,0.34672853,0.37666643,0.34067154,0.26103362,0.17485766,0.10964932,0.071403764,0.0524594,0.04428294,0.044539016,0.059737075,0.102823354,0.1807964,0.28083107,0.36531076,0.3960478,0.3621585,0.29139492,0.22788735,0.20272662,0.22085421,0.26702082,0.32156208,0.37096012,0.41432324,0.45958415,0.5134529,0.56861156,0.6052491,0.60419565,0.5665954,0.5122801,0.46710575,0.44297576,0.43780252,0.4419311,0.44884288,0.4565995,0.4680376,0.48740652,0.5152368,0.54157764,0.54888123,0.5240248,0.47167316,0.41170987,0.36595795,0.34394002,0.34176385,0.3477845,0.3516772,0.35100326,0.35442975,0.37781906,0.42871675,0.4939963,0.539223,0.5338378,0.47348216,0.38636866,0.30954632,0.26525918,0.2515919,0.25372317,0.25855997,0.26337668,0.27601376,0.30806354,0.36213484,0.42184973,0.4557564,0.43911806,0.374234,0.28985485,0.21938889,0.1789307,0.16436176,0.16206342,0.16234976,0.16568382,0.18342201,0.23230354,0.31695578,0.41786662,0.4921604,0.5070965,0.46200368,0.39199272,0.33302298,0.3014803,0.28926674,0.28345332,0.2769725,0.27346063,0.28350684,0.31866062,0.37847233,0.44207704,0.47453836,0.45191994,0.37963745,0.28887045,0.21228367,0.16477372,0.14200257,0.13149826,0.12499712,0.12485673,0.14416231,0.19739926,0.28262547,0.37216488,0.42357454,0.41244686,0.35263565,0.287534,0.25594342,0.26754585,0.3048509,0.34266147,0.3662337,0.37612334,0.38463053,0.40596583,0.44417456,0.48635292,0.5085127,0.49444818,0.44957188,0.39850697,0.36690953,0.36484993,0.38402954,0.40711185,0.41989696,0.4167091,0.40050483,0.38063827,0.36856136,0.37189242,0.38778993,0.40544263,0.41308954,0.40636742,0.38705698,0.35979417,0.32885194,0.29965654,0.27745998,0.26501435,0.25957587,0.2560971,0.25073257,0.24320453,0.23346992,0.22039294,0.2043985,0.1923387,0.19668423,0.22588761,0.27586982,0.33005032,0.3714024,0.3924596,0.39792022,0.3969647,0.39669195,0.39891517,0.4024756,0.40497565,0.40423894,0.39815405,0.38615975,0.36924267,0.34977803,0.3282875,0.3043383,0.27879304,0.25866982,0.2534317,0.26773584,0.2936779,0.31518677,0.3184125,0.3030328,0.28172633,0.2722189,0.2830616,0.30890983,0.33233002,0.33799836,0.32110718,0.293493,0.27484748,0.2813643,0.31255913,0.35278967,0.38362503,0.39747223,0.3984064,0.3923731,0.38002765,0.35876083,0.32936618,0.29741767,0.2698709,0.2516816,0.24603505,0.25474498,0.27665436,0.30654037,0.33700094,0.36256424,0.38165447,0.39564487,0.40565023,0.41089222,0.40845346,0.39692584,0.37873828,0.36100492,0.35049012,0.34929624,0.3534889,0.3572816,0.35717216,0.35330454,0.34782195,0.34295368,0.33878303,0.33224317,0.31778517,0.29196915,0.25647092,0.21806823,0.18409427,0.15962188,0.14582388,0.14046405,0.1390109,0.13859068,0.1409256,0.14946473,0.16204774,0.16836236,0.15911652,0.13842092,0.1253772,0.14086726,0.19062789,0.26048553,0.32583967,0.36819902,0.38422814,0.38371003,0.37894416,0.37613115,0.37326646,0.364401,0.34540525,0.31781712,0.2893025,0.27060547,0.26897374,0.28287658,0.30004755,0.30461228,0.28699288,0.2530009,0.22300404,0.2189153,0.24981594,0.30300128,0.3558437,0.38927236,0.4001148,0.39524376,0.3842875,0.3726296,0.36210918,0.35285482,0.34447968,0.33607253,0.32714334,0.31720617,0.30646324,0.29309094,0.2764558,0.25814745,0.24551673,0.2457933,0.26070115,0.28263566,0.3004065,0.30818102,0.30948117,0.3130146,0.32406262,0.34030902,0.35482955,0.36155906,0.36009935,0.35452494,0.35102877,0.35353038,0.3627937,0.37652788,0.39083543,0.40085497,0.4015392,0.38891253,0.3620409,0.32376432,0.28039914,0.23878117,0.20413052,0.17842919,0.16176206,0.15345436,0.15227216,0.15520024,0.15701634,0.15273295,0.14138557,0.1285299,0.124083005,0.13546944,0.16084795,0.18835504,0.20440693,0.20357354,0.19168288,0.17958228,0.17453943,0.1763133,0.17892338,0.1757276,0.16432254,0.14824511,0.13444357,0.12748365,0.12693565,0.12841485,0.12976772,0.13362522,0.14736694,0.17559226,0.21625717,0.2593651,0.29477564,0.31704125,0.32786992,0.33222565,0.33548495,0.34166333,0.3520434,0.36435875,0.3722093,0.3693522,0.35503235,0.3380328,0.33107197,0.34059858,0.35915604,0.3705486,0.36166736,0.33226922,0.29433838,0.26323378,0.24743642,0.24281919,0.23794657,0.22339721,0.2012797,0.18163067,0.17446803,0.17883067,0.18452932,0.18086869,0.16894178,0.16359313,0.181527,0.2276787,0.2885122,0.3441671,0.38034642,0.39669752,0.39966217,0.39645103,0.3902621,0.3828939,0.37532485,0.36838102,0.3616089,0.35526288,0.35026774,0.34750175,0.34410715,0.33460784,0.31461012,0.2873843,0.26313633,0.2529811,0.25957826,0.27589,0.29157674,0.30117965,0.3061359,0.3111936,0.32056546,0.33648464,0.35803854,0.37989005,0.39255142,0.3863411,0.36059973,0.32751104,0.30817434,0.31582186,0.34648678,0.3820026,0.40565583,0.41182825,0.4037484,0.3856558,0.3593674,0.32677734,0.2925615,0.26194665,0.23948209,0.22818208,0.23169416,0.25070152,0.28099987,0.31377164,0.34197626,0.36395916,0.38205364,0.39796373,0.40959442,0.41289905,0.4044654,0.38589862,0.3629154,0.3441231,0.33447695,0.33387136,0.3368666,0.33853018,0.33627763,0.33127487,0.32570004,0.3212551,0.31592777,0.30404603,0.27999172,0.24370588,0.20170218,0.16212513,0.13037045,0.10903751,0.09971746,0.102007754,0.112226665,0.1257,0.1420422,0.162223,0.18319124,0.19303553,0.18456389,0.16492157,0.15823084,0.18470609,0.24556454,0.3195461,0.3798326,0.41075698,0.41369662,0.4007015,0.3831551,0.36650637,0.34943196,0.32856202,0.30209497,0.27366215,0.25066376,0.24001046,0.23994945,0.24014868,0.22706546,0.19813003,0.16491036,0.149688,0.16736273,0.21676862,0.27826008,0.32998642,0.35920545,0.36855757,0.36678573,0.36142358,0.35509607,0.34849426,0.34240785,0.33768454,0.33451727,0.33187333,0.32673404,0.31381008,0.28749046,0.2468409,0.19984663,0.16169836,0.14857285,0.16710882,0.21156202,0.2644848,0.30886865,0.33523515,0.34681368,0.35313854,0.3623695,0.37545428,0.38638362,0.38973507,0.3856777,0.38159063,0.38573316,0.40151086,0.42457032,0.44406173,0.4484733,0.4320096,0.40053794,0.3683087,0.34897614,0.34508193,0.3478632,0.34559974,0.33352146,0.31559095,0.29881525,0.28612888,0.27466664,0.2579938,0.2323003,0.19939023,0.1688655,0.15334623,0.16230708,0.19536495,0.24123637,0.28399265,0.31006667,0.31418693,0.29756534,0.26579314,0.22520429,0.1829735,0.14724448,0.12800032,0.13395469,0.16755474,0.21950953,0.2720064,0.30651876,0.31474164,0.299896,0.27409887,0.2503287,0.23864369,0.24278943,0.26016545,0.28307816,0.30254492,0.31384742,0.32084998,0.3345876,0.3655952,0.41404435,0.46881473,0.5163541,0.55128354,0.57908684,0.60384804,0.6219793,0.6194699,0.5902186,0.53964704,0.48784244,0.4510758,0.43736613,0.44139966,0.45293072,0.4614962,0.46322593,0.46326008,0.4704144,0.48702577,0.50207037,0.49919364,0.4713259,0.42882463,0.3911902,0.37286878,0.37361467,0.38210455,0.38508213,0.37813723,0.3688954,0.37339076,0.40437663,0.4593521,0.5170385,0.5493491,0.5414273,0.50201845,0.45421386,0.41602924,0.390565,0.3716098,0.3547703,0.34208766,0.33963123,0.35437122,0.38865268,0.4340652,0.46882236,0.46957493,0.429636,0.36515224,0.3028992,0.25901634,0.23340605,0.2154237,0.19739605,0.17964913,0.17283358,0.19470422,0.2580237,0.3558775,0.45426917,0.51355046,0.5161695,0.48108757,0.44348085,0.42666686,0.4296075,0.43768415,0.43910992,0.43296245,0.42700377,0.43284985,0.45675024,0.4930779,0.52173257,0.5212497,0.4853089,0.43068847,0.3856214,0.36971048,0.38270414,0.40871108,0.43017325,0.4394447,0.44163144,0.44935778,0.47140905,0.5038976,0.5302835,0.5328892,0.5084936,0.47038436,0.43966916,0.42725417,0.43023953,0.43498453,0.42984572,0.411514,0.38857993,0.37805045,0.3940427,0.43493652,0.47877356,0.49844638,0.48232436,0.44224975,0.403618,0.38653502,0.39890292,0.43332195,0.4766864,0.5140088,0.5393329,0.5534432,0.5617257,0.5641821,0.55585,0.53156704,0.49467233,0.45739964,0.43374243,0.43021694,0.4429201,0.46091285,0.47359154,0.47598878,0.4720666,0.47185448,0.4836026,0.5045048,0.5189646,0.5095702,0.47224388,0.42152846,0.380747,0.3643686,0.37120903,0.388208,0.40403724,0.4154425,0.4286028,0.4513125,0.4842523,0.5160845,0.5284793,0.51131636,0.47140166,0.42872456,0.3991965,0.38523757,0.37801763,0.36852047,0.35424605,0.3404741,0.33832502,0.3590299,0.40330005,0.45385396,0.48166907,0.46684322,0.4135414,0.34596345,0.28838155,0.25001192,0.22550033,0.20489205,0.18432893,0.16898341,0.17288901,0.20972174,0.28230006,0.3712947,0.44328716,0.4702209,0.4512662,0.41039518,0.3768269,0.3644142,0.36905447,0.37996003,0.3905438,0.40185878,0.41910955,0.44641724,0.4806986,0.5097843,0.5174579,0.495981,0.45342264,0.4101465,0.3851104,0.3853433,0.40534386,0.43314865,0.45887783,0.47812888,0.4931643,0.508064,0.5225152,0.53000426,0.5206808,0.49234962,0.4508487,0.4097085,0.37773243,0.3580569,0.34513685,0.3333188,0.31905803,0.30723727,0.30874857,0.3353734,0.3850602,0.43529615,0.4521617,0.4164915,0.33938575,0.25459558,0.19142102,0.15806326,0.14300692,0.13163485,0.11717677,0.1029335,0.095389545,0.09840534,0.10994103,0.123721786,0.13270776,0.13543032,0.13854551,0.15512933,0.19281362,0.24653901,0.29732484,0.32713434,0.32870385,0.31090245,0.2890371,0.27820063,0.2846609,0.30577323,0.33028412,0.34686866,0.34992132,0.343514,0.33639595,0.3361412,0.34338072,0.35220435,0.3540338,0.34459066,0.32733604,0.31228372,0.30866766,0.3192431,0.33837008,0.3574873,0.37024736,0.37557626,0.37530282,0.37133554,0.36475405,0.35718575,0.35230544,0.35349727,0.36018398,0.3660369,0.36257234,0.34511146,0.31515232,0.27871954,0.24299581,0.21577097,0.20430635,0.21180087,0.23331334,0.25687873,0.27112508,0.2722811,0.2657754,0.2606746,0.26374206,0.2755785,0.29188967,0.3069942,0.3173901,0.32402954,0.33068606,0.3417511,0.3568144,0.37046054,0.37431327,0.3649739,0.3461109,0.32617304,0.3102815,0.29825547,0.28733554,0.27750528,0.27126682,0.26939762,0.26870766,0.26211628,0.24362642,0.2103572,0.1667129,0.12134007,0.084143244,0.059389208,0.045902725,0.03900973,0.034970824,0.031825434,0.029084658,0.026721602,0.02480401,0.023358626,0.022306494,0.021764329,0.024882598,0.040785503,0.0840067,0.1614183,0.25819537,0.3364828,0.35981297,0.3206478,0.24574085,0.17421089,0.12972252,0.113635845,0.113028444,0.11643437,0.120806314,0.13521118,0.17473733,0.24558987,0.33103114,0.3931614,0.40108597,0.35613957,0.29458505,0.2569874,0.26076984,0.2931411,0.32932535,0.35013232,0.35165605,0.34417322,0.34705916,0.37501767,0.42434177,0.47078538,0.48799405,0.46849695,0.42765066,0.38794127,0.3622013,0.35047865,0.34711435,0.34923437,0.36009002,0.38735867,0.43598285,0.49783286,0.54901624,0.5606639,0.5197856,0.44025397,0.35398462,0.29049706,0.25971964,0.25245836,0.24936211,0.23861904,0.22399916,0.22523387,0.26134777,0.33352432,0.4177129,0.47864398,0.4939493,0.46879926,0.42811152,0.396479,0.3821182,0.37872767,0.3750794,0.36873126,0.36830303,0.38879904,0.4368508,0.5004421,0.55189127,0.56399274,0.5309243,0.47025314,0.4107418,0.37040898,0.35069403,0.3420917,0.33560655,0.32786846,0.32180306,0.32632253,0.35148177,0.39795175,0.44971442,0.48054042,0.47480276,0.43895867,0.39545238,0.3622465,0.3428122,0.32908627,0.31240627,0.29037568,0.2711979,0.27177313,0.30849695,0.37661013,0.44388804,0.46459675,0.4171727,0.31835464,0.21145363,0.13034424,0.08471444,0.06405363,0.055642035,0.05380785,0.06353349,0.09772024,0.16785188,0.26636,0.35957482,0.40226233,0.3732561,0.2910067,0.20214762,0.14501065,0.13230386,0.15118988,0.18140703,0.20789967,0.22977656,0.2589778,0.30833745,0.37377486,0.42794695,0.43668273,0.38881728,0.3081428,0.23954083,0.21501844,0.23698755,0.27937433,0.31224397,0.32024848,0.31371596,0.31768534,0.35236815,0.41370845,0.47320452,0.49714217,0.47185883,0.41135922,0.34492552,0.29485288,0.26758626,0.255785,0.24957114,0.24273777,0.23945726,0.2533003,0.29826966,0.37109473,0.44422626,0.48123324,0.46411613,0.40603364,0.33960402,0.29423907,0.28293303,0.30142823,0.33492473,0.36743775,0.39094445,0.4105748,0.43754193,0.4745215,0.5074071,0.51486635,0.48959526,0.4450287,0.40470386,0.3817594,0.37465215,0.37237516,0.3648632,0.34905145,0.332679,0.33403158,0.3655112,0.41999292,0.46637645,0.47811547,0.4520744,0.4120241,0.3797768,0.36137804,0.34691963,0.32810462,0.30418178,0.2832571,0.27746853,0.2992753,0.35156843,0.42019364,0.47635904,0.49381292,0.46557006,0.40490547,0.33315793,0.26634604,0.21485002,0.18475054,0.17910464,0.19540839,0.22996716,0.28277168,0.35242763,0.42394805,0.46504596,0.44641617,0.367414,0.25952134,0.163556,0.101200424,0.07086551,0.05841181,0.053816695,0.055512678,0.0716723,0.11445431,0.18877979,0.27891955,0.34893343,0.36497226,0.32152626,0.24540819,0.17381327,0.12760453,0.10580599,0.09597669,0.0895499,0.08751448,0.10081148,0.14362584,0.21958642,0.3095281,0.37457857,0.38201705,0.33155885,0.25750837,0.20462592,0.19769607,0.23287092,0.28589436,0.33329496,0.36456537,0.38634506,0.41297653,0.45196566,0.4955341,0.52317077,0.5183756,0.47954747,0.42031607,0.35777298,0.3036207,0.26437396,0.24342094,0.24298458,0.263044,0.3030921,0.36248776,0.43376315,0.49828878,0.52890104,0.5099835,0.44961298,0.37700203,0.3204652,0.2917416,0.2853893,0.28957725,0.2957605,0.30230007,0.31494424,0.34380898,0.39225137,0.4483041,0.4859768,0.48640576,0.45241153,0.40687802,0.37150583,0.35241655,0.34197688,0.3313087,0.32049254,0.3185396,0.33740923,0.38183632,0.44056585,0.48672715,0.49241367,0.44981813,0.3782244,0.30970612,0.26686528,0.25432613,0.26443627,0.28742042,0.31449303,0.34214035,0.3725003,0.41212204,0.4587531,0.49648872,0.50077957,0.46000803,0.3841572,0.29936278,0.22693484,0.17423852,0.1365407,0.107766904,0.08669924,0.080499895,0.10344666,0.16808611,0.2665519,0.36338577,0.41009602,0.3828403,0.29794815,0.2001078,0.12497806,0.08357468,0.06566779,0.058843907,0.05802049,0.06911292,0.10526836,0.17655784,0.27395284,0.36476028,0.409817,0.3949817,0.3408483,0.2864016,0.25758043,0.258495,0.27773234,0.30358008,0.32819963,0.3507512,0.37651947,0.4144005,0.4655805,0.51823837,0.5508859,0.5517483,0.5258556,0.492843,0.4678984,0.4559208,0.451362,0.44846365,0.44551566,0.4466957,0.4586757,0.4843764,0.51643926,0.5381684,0.53318924,0.4991469,0.44893524,0.40271333,0.37348536,0.36362687,0.36588708,0.3706533,0.37158862,0.37210822,0.3853605,0.42293108,0.4791576,0.52594167,0.5315012,0.48585808,0.41045323,0.34004602,0.29727605,0.28218684,0.2808913,0.28047046,0.2780504,0.28169382,0.3052144,0.35527763,0.41973495,0.46720353,0.46711704,0.41385165,0.33163735,0.25596836,0.20757009,0.18572415,0.17680675,0.16988249,0.16397655,0.16892888,0.20107996,0.26819077,0.3586248,0.4363178,0.46745655,0.4415387,0.38329306,0.32668063,0.29343256,0.282179,0.2813126,0.28152272,0.2818958,0.28971145,0.31554544,0.3642969,0.42342952,0.4642614,0.45955232,0.40717223,0.3311884,0.26350942,0.21949004,0.19588645,0.18070422,0.16704984,0.1575371,0.16394085,0.20238107,0.27713656,0.36832324,0.4317825,0.43035784,0.360605,0.25734097,0.16356869,0.10251976,0.071976684,0.05824447,0.052072093,0.05383331,0.07348252,0.12407717,0.20797233,0.30467874,0.3738376,0.3831308,0.33373496,0.26114407,0.20803134,0.19630909,0.22262494,0.26855665,0.31755722,0.3611653,0.40154484,0.4449242,0.4916401,0.53155655,0.5481722,0.53489375,0.500178,0.46406272,0.44164562,0.43678832,0.44305995,0.45237437,0.45999268,0.4664202,0.47667912,0.4963449,0.52398866,0.546542,0.5452876,0.5115256,0.45572093,0.4005461,0.36436105,0.35053027,0.3506787,0.35278764,0.35044122,0.34628105,0.352698,0.3831487,0.43831086,0.49750885,0.52706784,0.505379,0.43965992,0.36149,0.3014429,0.27115238,0.26253343,0.2617953,0.2611209,0.2633905,0.27924657,0.3188134,0.3783851,0.43516383,0.45674333,0.4265051,0.35640132,0.2790304,0.22149439,0.19103466,0.1784359,0.17192233,0.16730434,0.16943377,0.19106631,0.24375851,0.32556793,0.41133317,0.46364224,0.45973334,0.4094583,0.3472606,0.3029218,0.28501067,0.2829826,0.28430334,0.28380623,0.28653288,0.30351928,0.34379163,0.40205875,0.4542682,0.46967134,0.4354787,0.36744475,0.29776543,0.24962835,0.22545306,0.21378098,0.20300065,0.19124608,0.18731523,0.20795323,0.2652049,0.34976992,0.42634198,0.45202553,0.412739,0.33500353,0.26888224,0.24718933,0.26994637,0.31173813,0.34760606,0.36631575,0.37352434,0.3832576,0.40857008,0.44885918,0.48802242,0.50198615,0.47963646,0.4312341,0.3840429,0.3610663,0.36862007,0.39467072,0.42113543,0.43433198,0.43034184,0.41373587,0.39477417,0.38491273,0.3902609,0.40725848,0.42446855,0.43116823,0.4228556,0.401399,0.37071073,0.3357221,0.30274716,0.27825555,0.26496485,0.25977072,0.2566334,0.25148395,0.24332237,0.23242581,0.21791829,0.2021219,0.19263019,0.20198621,0.2357791,0.28773916,0.3397634,0.37670144,0.3930603,0.395601,0.39350995,0.3934064,0.39608064,0.3996702,0.40180004,0.40077353,0.39539838,0.384953,0.36983347,0.35114685,0.3290303,0.3034728,0.27666172,0.25704658,0.25396362,0.2708733,0.29773155,0.31833133,0.32005277,0.3049344,0.2868685,0.28260407,0.29813468,0.32454398,0.34340695,0.34104013,0.3174876,0.28835422,0.2735704,0.285557,0.31930956,0.35867092,0.3878341,0.4022801,0.40504435,0.39899492,0.3825117,0.3540438,0.31710947,0.2794077,0.2490925,0.23177987,0.23100716,0.24728079,0.2765789,0.31095567,0.34227297,0.3668041,0.38528976,0.40045545,0.41237044,0.41857314,0.41483402,0.40113434,0.38125625,0.36366,0.35389325,0.35371557,0.3587606,0.36382738,0.36460766,0.36010727,0.35207972,0.34353623,0.3359233,0.3263739,0.30955836,0.28223678,0.24699046,0.21050157,0.17938948,0.15746564,0.1452397,0.14017878,0.13832957,0.13771643,0.14090462,0.15013671,0.16143991,0.16353567,0.15022255,0.12962867,0.12303261,0.14836943,0.2060781,0.27807796,0.33978835,0.37628022,0.38770285,0.38540828,0.38032293,0.376688,0.37140027,0.359107,0.33733535,0.30914474,0.28300217,0.26855743,0.27098343,0.2862526,0.30151227,0.30213276,0.28151554,0.24827015,0.22326767,0.22602765,0.2610869,0.31351182,0.36146128,0.38950324,0.3967972,0.39092973,0.38071474,0.37079462,0.36241627,0.35520133,0.34832725,0.34085393,0.33237132,0.3228793,0.31223813,0.29864153,0.2810817,0.26205972,0.24940525,0.2503536,0.2654864,0.28621086,0.30209577,0.3089784,0.31191507,0.31888232,0.33288166,0.3496715,0.3619926,0.36581245,0.362227,0.35594547,0.35184252,0.35322294,0.3614407,0.37567413,0.392723,0.40606356,0.40818748,0.3932588,0.36140773,0.31811544,0.27213922,0.23064174,0.19749683,0.17322664,0.15747124,0.14985852,0.14951687,0.15300474,0.15481333,0.14995824,0.13874327,0.12767015,0.12649415,0.14026706,0.16465099,0.18739004,0.19759195,0.19339742,0.18215777,0.17351788,0.17198683,0.17547017,0.1774639,0.17268012,0.16010363,0.14448343,0.13221096,0.12700093,0.12730841,0.12895769,0.1303774,0.13515174,0.1509489,0.18176235,0.22427993,0.2672403,0.30085334,0.32099232,0.3309758,0.33584628,0.34030402,0.34717563,0.35695255,0.3664192,0.36958626,0.36203504,0.34651336,0.33302712,0.33235216,0.34620282,0.36448216,0.37189612,0.35873386,0.32745364,0.29052913,0.26220223,0.24892616,0.24503511,0.23895358,0.22293884,0.2013144,0.18426806,0.17978533,0.1839118,0.1862882,0.17860456,0.16563581,0.1635388,0.18749432,0.23921497,0.3025637,0.3576536,0.39192268,0.40717646,0.4100395,0.4063739,0.39811298,0.38709784,0.37577292,0.3658582,0.35752463,0.35048047,0.34531355,0.34123996,0.33415666,0.31786755,0.29090384,0.2607045,0.24085887,0.24073058,0.25835836,0.28210673,0.30066288,0.31005934,0.31434834,0.32003626,0.3319458,0.3508495,0.3732539,0.3914763,0.39595023,0.38007477,0.34818292,0.31632948,0.3051015,0.32282075,0.360333,0.39699888,0.41732574,0.41706705,0.40064263,0.3731184,0.33837414,0.3004667,0.26489213,0.2364592,0.21884288,0.21470289,0.22678661,0.2536836,0.28933638,0.32429135,0.3529066,0.37456873,0.3919452,0.4060255,0.41441727,0.4134983,0.40110627,0.38020125,0.3574413,0.34095308,0.33443758,0.33591664,0.33948967,0.34021875,0.33668554,0.33033156,0.32390952,0.3184056,0.31148744,0.29705313,0.2708438,0.23427232,0.19476394,0.15938282,0.13184223,0.11308748,0.10371491,0.103028335,0.10868481,0.11871824,0.13450056,0.15601759,0.1774754,0.18671334,0.17934097,0.1658867,0.16949785,0.20564799,0.27024585,0.34047854,0.3921522,0.41407046,0.41118968,0.3962411,0.379243,0.36333635,0.3459228,0.32367912,0.295912,0.26770023,0.24674404,0.23882504,0.23960601,0.23757063,0.2204294,0.18915783,0.15776832,0.1483842,0.17282611,0.22678345,0.28877047,0.33804658,0.36384806,0.3706878,0.36733094,0.36084542,0.35355505,0.34645534,0.34085107,0.33764473,0.33663777,0.33511975,0.32811758,0.3096366,0.27628067,0.23128217,0.18527448,0.15322469,0.14829987,0.17441429,0.22372359,0.27797687,0.32026526,0.3423355,0.34947968,0.3523655,0.35970113,0.37210095,0.38436007,0.3912487,0.39221847,0.3919281,0.39634362,0.40847847,0.42585787,0.44024,0.44194505,0.4254112,0.39548323,0.3637097,0.3415512,0.33041716,0.32484403,0.31790438,0.30941746,0.3027105,0.30038035,0.29920542,0.29233956,0.27295056,0.24005347,0.19997893,0.16586691,0.1508099,0.16209407,0.19594288,0.23990043,0.2780954,0.2988412,0.29777014,0.277778,0.24514635,0.20677917,0.16873886,0.13812588,0.1242471,0.1358039,0.17434813,0.22877623,0.27975038,0.30933735,0.3117601,0.2930763,0.2670795,0.24666578,0.24077342,0.25083327,0.27196205,0.29505435,0.31216535,0.3220337,0.33163226,0.35284472,0.39230612,0.44540438,0.49757147,0.5370512,0.56311125,0.58527714,0.6082198,0.6253388,0.6206016,0.58760375,0.534141,0.48181114,0.44752082,0.43849453,0.44761643,0.4627129,0.47176516,0.47176695,0.46957102,0.4760354,0.49347076,0.5103063,0.5088257,0.48164013,0.4385039,0.39959797,0.37957057,0.37869754,0.38488185,0.38486007,0.37546626,0.3669796,0.37716484,0.41674972,0.47856784,0.53659004,0.5629127,0.5465731,0.50129396,0.45179263,0.41482016,0.39151588,0.37433994,0.35894504,0.34747136,0.34619462,0.3603879,0.3891743,0.4229417,0.44339117,0.43569592,0.39783534,0.34452796,0.29447654,0.25843206,0.23494488,0.21644616,0.1981243,0.1824197,0.18104805,0.21166475,0.2843389,0.387544,0.48351526,0.5343001,0.527989,0.4892114,0.45301512,0.4382818,0.439911,0.4430255,0.4395871,0.43140745,0.4277538,0.43814015,0.46669677,0.504407,0.53062373,0.5249778,0.485347,0.43073562,0.3896897,0.37816218,0.3932452,0.41728652,0.4351404,0.44173145,0.44440147,0.45396152,0.47555265,0.5030815,0.5216465,0.5191918,0.49556375,0.46401143,0.4408227,0.4335642,0.4374504,0.44012952,0.43184868,0.41177222,0.3906878,0.38595828,0.40908638,0.45341524,0.49412325,0.5059814,0.4822786,0.4381723,0.39832294,0.38114706,0.3937411,0.43032506,0.47833776,0.5233622,0.55860597,0.58518714,0.6059046,0.6168745,0.6075193,0.5724916,0.5194661,0.4682859,0.4366037,0.4304581,0.4425819,0.45973316,0.4708859,0.47228763,0.4696683,0.47355297,0.49019608,0.51308066,0.5247306,0.510088,0.46961677,0.4203997,0.3837422,0.37072077,0.3780125,0.39399043,0.4090792,0.42182365,0.4379512,0.4644266,0.49963355,0.530818,0.53947484,0.5178539,0.47520888,0.43238643,0.40364733,0.38946056,0.38044333,0.36864364,0.35364154,0.3420446,0.34559157,0.373093,0.42181423,0.4709691,0.4924439,0.47006854,0.41207775,0.34339347,0.28623012,0.24790198,0.22257607,0.20139833,0.18162632,0.17070164,0.18566848,0.24173748,0.33631286,0.43935323,0.5081086,0.51734143,0.47692168,0.42235458,0.38382187,0.37128317,0.37491843,0.38365293,0.39180323,0.40283826,0.42242542,0.45435652,0.49327293,0.5245203,0.5303529,0.50405747,0.4564115,0.41104552,0.38794443,0.39332315,0.41807607,0.44763038,0.4701736,0.48311624,0.4909954,0.5009537,0.5130401,0.5206438,0.513624,0.49200007,0.46406266,0.44394922,0.43653658,0.43828404,0.4378191,0.427628,0.40627706,0.38221797,0.36897102,0.38015863,0.41682366,0.46337175,0.49376297,0.49170125,0.46043196,0.42027757,0.39128137,0.38507804,0.39946663,0.42567396,0.45153496,0.4726249,0.49244455,0.52067834,0.55789477,0.592551,0.60399765,0.58280796,0.5356785,0.48497167,0.4493402,0.4373928,0.4426866,0.4536878,0.4598976,0.45970428,0.46017316,0.47027028,0.49029922,0.5068976,0.5025249,0.47092333,0.4249122,0.38680598,0.37153593,0.37652525,0.38684547,0.3879756,0.3778547,0.36808035,0.37734315,0.41644228,0.4781239,0.535954,0.56201345,0.545484,0.5005013,0.45129153,0.4143333,0.39060235,0.37345603,0.3585379,0.34775305,0.34791288,0.3668319,0.40691492,0.45706153,0.49326023,0.49155965,0.44765162,0.37953508,0.31515276,0.2700009,0.24312413,0.22267891,0.20184197,0.18393505,0.18328674,0.21706581,0.29176626,0.3924316,0.48184252,0.525896,0.516072,0.4780078,0.44513145,0.43434498,0.438329,0.44157216,0.43660018,0.42707774,0.42309174,0.43361953,0.46151605,0.49727353,0.5209876,0.51359946,0.47436938,0.42271855,0.38628173,0.3786397,0.39481142,0.41678953,0.43137857,0.43532202,0.43587765,0.44106054,0.45463708,0.47255996,0.48590425,0.48638538,0.47312227,0.45400575,0.44085094,0.43940258,0.44574174,0.4486073,0.43906745,0.41701365,0.3941433,0.38865826,0.41224468,0.4576695,0.49838194,0.5071686,0.47586462,0.42109475,0.370584,0.34657285,0.35689083,0.39496484,0.44546708,0.49220237,0.52691406,0.55157477,0.5709922,0.5840469,0.5810618,0.55599123,0.5141151,0.4734683,0.44973955,0.44832245,0.46136132,0.47760823,0.488176,0.4915652,0.49237767,0.49870673,0.51381636,0.53047615,0.53346735,0.512432,0.4719806,0.42875203,0.39926758,0.38944945,0.3948667,0.4062978,0.41684887,0.42599702,0.43942228,0.46400604,0.49818623,0.528958,0.5378776,0.5169291,0.47475898,0.4308851,0.39942792,0.3818263,0.3703191,0.35750118,0.34303916,0.33365282,0.34141514,0.3747619,0.42914942,0.4815953,0.50213104,0.47545406,0.4121182,0.34038273,0.28297058,0.24588208,0.22118133,0.20058621,0.18253052,0.1736576,0.18638778,0.23311532,0.31369472,0.40616438,0.47309563,0.4890567,0.45843768,0.41229236,0.37898567,0.36920157,0.3745058,0.3846374,0.39401686,0.40526995,0.4236393,0.45305157,0.489223,0.51858264,0.5245859,0.50087875,0.45756486,0.41616896,0.39491487,0.3994185,0.42159712,0.44814384,0.46853074,0.48117265,0.4913154,0.5056467,0.52258235,0.53324443,0.52523607,0.49648273,0.4537752,0.4121686,0.38049158,0.36146113,0.34869,0.33666444,0.3223816,0.31100145,0.31184807,0.33397463,0.3743581,0.41699326,0.4418601,0.4436778,0.43437824,0.4327681,0.44649184,0.4703697,0.49262142,0.5057331,0.50945777,0.5093169,0.5123258,0.52022034,0.53014237,0.53660583,0.5399098,0.5416872,0.5417802,0.5332318,0.51146865,0.47730675,0.4367818,0.39312494,0.34818074,0.30496845,0.26895168,0.24186201,0.22019301,0.19880527,0.17709951,0.15806879,0.14412872,0.1345164,0.12723954,0.12158177,0.11783826,0.115887426,0.11480657,0.11349094,0.11186258,0.109983474,0.10840073,0.10687399,0.105733156,0.105156906,0.1059401,0.1080612,0.11072976,0.11276257,0.11371494,0.114698686,0.11719664,0.122085206,0.12853898,0.13491559,0.1403953,0.14603998,0.1547342,0.16854735,0.18770248,0.2102965,0.23459029,0.2590841,0.28195158,0.3007367,0.31415346,0.32409704,0.33392274,0.3453443,0.35610402,0.36281428,0.36449936,0.36380252,0.36410972,0.36591122,0.3658671,0.35799527,0.33680177,0.30079886,0.25480744,0.20872658,0.17151487,0.14657287,0.1309443,0.120178886,0.11162297,0.10504805,0.10031968,0.09641409,0.092116304,0.08726669,0.08296966,0.080473095,0.080067754,0.08086578,0.081448086,0.080972016,0.079469234,0.07779521,0.076601155,0.076155454,0.07634585,0.07730451,0.078910306,0.08040916,0.08043153,0.07831729,0.074624956,0.0707382,0.06755713,0.065820165,0.067026116,0.07430526,0.09075039,0.1176913,0.15368102,0.19469593,0.2336824,0.26090726,0.26846206,0.25647536,0.2355994,0.22110027,0.22416629,0.24607092,0.27951667,0.31309557,0.3379872,0.3510436,0.35501003,0.35450354,0.35221556,0.3484117,0.341604,0.3316101,0.3188089,0.30433366,0.28803805,0.26892355,0.24584675,0.21846801,0.18828373,0.15813756,0.13196687,0.11272674,0.101828896,0.099355154,0.106027156,0.12309257,0.15061645,0.18596886,0.22410583,0.26056293,0.29207048,0.31858003,0.34082627,0.36026195,0.3755169,0.38387403,0.3825493,0.37191343,0.35500216,0.3352686,0.3141125,0.29094437,0.26551518,0.23995899,0.21827932,0.20316422,0.193807,0.18730025,0.18356664,0.18719397,0.20293577,0.22755153,0.24823137,0.25122467,0.23371567,0.20696902,0.18772636,0.18680125,0.2041957,0.23322415,0.2657118,0.29552498,0.31771073,0.32970846,0.33102772,0.324908,0.31553724,0.30806985,0.3056972,0.3107557,0.32206997,0.3366462,0.3500451,0.35954857,0.3642093,0.3637761,0.35825816,0.34746447,0.33225766,0.3129234,0.2897822,0.2629691,0.23425347,0.20649035,0.18233638,0.16269363,0.14639169,0.13176416,0.11775232,0.104783066,0.09392813,0.08630305,0.082367055,0.08169475,0.08300116,0.08446326,0.08489431,0.08443075,0.08553632,0.092612125,0.111782454,0.14614472,0.19235958,0.23769014,0.26858923,0.27796343,0.27235737,0.2642044,0.26381472,0.27065375,0.2774696,0.27831987,0.2761782,0.27949846,0.29450953,0.31861034,0.34503162,0.36653593,0.3811874,0.38839945,0.39039814,0.3877519,0.3812759,0.3698057,0.3539343,0.33548537,0.31653234,0.29645127,0.27266127,0.244588,0.21522842,0.18967307,0.17111625,0.15988092,0.15414709,0.15162054,0.15039206,0.149397,0.14857925,0.14863934,0.15050802,0.15444477,0.15939043,0.16299416,0.16310224,0.15921395,0.15351401,0.15010908,0.15398544,0.16800284,0.19139282,0.21915162,0.24722898,0.27493474,0.3055528,0.33900306,0.36956683,0.3869654,0.38444936,0.36355233,0.3336453,0.3075607,0.2941517,0.2959789,0.3079727,0.32296315,0.3349996,0.34187853,0.34349275,0.33990872,0.33197486,0.32189557,0.31336424,0.30915344,0.3096299,0.3132228,0.31749192,0.32032624,0.32019565,0.31688738,0.3120619,0.30775735,0.30464116,0.30023786,0.29138651,0.27678415,0.25849995,0.23959593,0.22181158,0.2050957,0.18898225,0.17373277,0.16042398,0.1507511,0.14630957,0.14758874,0.1531328,0.16021736,0.16642444,0.17066689,0.1729153,0.1732779,0.17174697,0.16849329,0.16420163,0.15974681,0.15582351,0.15320061,0.15345013,0.15818083,0.16693003,0.1755762,0.17891823,0.17484927,0.166431,0.15880303,0.15643953,0.16263627,0.18195455,0.21659942,0.2625964,0.3070991,0.3377894,0.3511146,0.35472503,0.3585255,0.36598358,0.37438175,0.37974414,0.38227105,0.384151,0.3870816,0.38979688,0.3889381,0.38148427,0.36724433,0.35087347,0.3387681,0.33442557,0.33379984,0.32802805,0.310595,0.28390136,0.25951907,0.25008485,0.2619686,0.28993765,0.3214619,0.343094,0.3490384,0.3444394,0.34009778,0.34490588,0.35761252,0.37172708,0.38013554,0.38203928,0.37965474,0.37590683,0.371541,0.36635077,0.36018205,0.35377005,0.34720016,0.3392916,0.3264824,0.30602396,0.27754766,0.2454894,0.21687849,0.19887619,0.1947767,0.2020488,0.2131107,0.21918839,0.21538429,0.20370382,0.19271158,0.19376868,0.21463323,0.2541913,0.30161372,0.3431634,0.37020925,0.38315716,0.38728762,0.38764217,0.38617995,0.38318542,0.3780177,0.36986136,0.3586177,0.34656355,0.33794487,0.33488846,0.33385167,0.32643473,0.30656978,0.27648124,0.24715377,0.2305929,0.23267825,0.24918914,0.27031574,0.28679475,0.2962999,0.30380425,0.3158526,0.33478022,0.3552393,0.3708056,0.37787345,0.3792882,0.37893268,0.3795997,0.38110828,0.38289738,0.38459215,0.38637963,0.38770613,0.38826418,0.38750994,0.38592783,0.38321173,0.379756,0.37527192,0.3690007,0.35694394,0.3346692,0.30171463,0.26682478,0.2432207,0.24042957,0.25805566,0.29004633,0.33019364,0.37335685,0.412738,0.44075695,0.4543629,0.45776483,0.45875874,0.46239316,0.4680561,0.47260323,0.47438493,0.47499737,0.4766151,0.47942427,0.48135233,0.48003626,0.47496876,0.46756148,0.4606814,0.45644656,0.45502007,0.45380333,0.4493464,0.4396459,0.42570195,0.41064182,0.39743122,0.3866656,0.37694347,0.3663611,0.354952,0.3438301,0.3342818,0.32613733,0.31870118,0.31118536,0.30243483,0.29040626,0.2729759,0.25061685,0.22767891,0.21026395,0.20165868,0.19936155,0.197245,0.19057834,0.17965408,0.1684783,0.16098084,0.15810293,0.15824749,0.15896446,0.15883335,0.15763395,0.15613288,0.15500464,0.1545747,0.15483147,0.15604424,0.15846778,0.16196354,0.16557229,0.16860384,0.17118824,0.17466265,0.17992415,0.18721211,0.19571967,0.20532495,0.21581398,0.22660913,0.23528875,0.2392882,0.2377971,0.2329995,0.22895662,0.22869699,0.2333671,0.24167426,0.25193593,0.26165092,0.26796195,0.26650095,0.25337717,0.22746164,0.19255994,0.15579872,0.12371397,0.0993833,0.082192875,0.07018105,0.06131652,0.05431744,0.04814453,0.042281512,0.03655863,0.031252358,0.026722817,0.02315636,0.02041138,0.018102437,0.015911978,0.013730649,0.011638191,0.009716883,0.007999216,0.006487412,0.005195756,0.0041226787,0.0032471276,0.002533845,0.0019586214,0.0014950029,0.0011162815,0.000798845,0.0005352175,0.00032822383,0.00018053236,8.705575E-05,3.560064E-05,1.17618465E-05,2.8594377E-06,4.299559E-07,1.3364211E-08,0,0,0,0,1.5973828E-05,0.0009703001,0.005781203,0.02080126,0.052698597,0.10441037,0.16911788,0.23373528,0.28385398,0.31341755,0.32450867,0.32671413,0.32914022,0.33732545,0.34818697,0.35380363,0.3453927,0.3227885,0.2951993,0.2783004,0.2813157,0.30193403,0.32666445,0.34247598,0.3425008,0.32917473,0.311188,0.30050263,0.3057746,0.32548836,0.3488197,0.36281678,0.36190572,0.34743747,0.3242956,0.29658094,0.26951835,0.248235,0.2363019,0.2315621,0.2292435,0.22491352,0.2182238,0.20958255,0.19871587,0.18570618,0.17574817,0.17891145,0.20276725,0.24440499,0.29048193,0.32668558,0.34669003,0.3535794,0.35411456,0.35359716,0.35416827,0.35623613,0.35891056,0.3604351,0.35813692,0.3504393,0.3375516,0.3215921,0.3034087,0.28259775,0.25917384,0.2384819,0.22938256,0.23807676,0.26023754,0.28219977,0.28970754,0.27894375,0.2592288,0.24722958,0.25327548,0.27499187,0.29681128,0.3036131,0.28890297,0.26238385,0.24209966,0.24449481,0.27113107,0.30876872,0.34002796,0.35645318,0.36053157,0.3571854,0.34689263,0.3273212,0.29942396,0.2690154,0.24297048,0.22577353,0.21955633,0.22578138,0.24397199,0.27056965,0.29907992,0.32383272,0.3422614,0.35504022,0.36376274,0.36837304,0.3671163,0.35810402,0.34299776,0.32700443,0.31668666,0.3147868,0.3191781,0.32456627,0.32666838,0.32396913,0.31767723,0.31042144,0.3037161,0.29628536,0.28352186,0.26189372,0.23173587,0.19842553,0.16819029,0.14584088,0.13292217,0.12795158,0.12700665,0.12686487,0.12825547,0.13433206,0.14439557,0.15058702,0.14421812,0.127174,0.11474686,0.12563966,0.16664703,0.22691695,0.28547356,0.32515037,0.3416674,0.3422406,0.33758816,0.3339201,0.33073208,0.3234364,0.3083432,0.28583655,0.26156354,0.24401629,0.24003617,0.24940872,0.26316276,0.26790273,0.25488588,0.22762555,0.20280783,0.19939314,0.22614026,0.27278173,0.3193804,0.34874627,0.35798326,0.3540369,0.34622964,0.3389291,0.3322394,0.32463828,0.31558982,0.30528846,0.29478422,0.28473625,0.27547765,0.2648373,0.25062412,0.23303671,0.21821189,0.21440257,0.2254103,0.24633865,0.26647377,0.27892348,0.284825,0.29163632,0.30374202,0.31888044,0.330436,0.33381745,0.32973942,0.32235256,0.31663248,0.3158692,0.32142133,0.3324195,0.34584033,0.3569254,0.36007503,0.35072175,0.32746384,0.29311436,0.25400466,0.21679635,0.18604611,0.16312653,0.1478154,0.1397251,0.13813664,0.14068425,0.14267392,0.13945355,0.12984525,0.118470885,0.113892905,0.122796535,0.14403577,0.16763638,0.18171854,0.18121909,0.17105317,0.16062343,0.15628342,0.15766196,0.15970927,0.15677051,0.14682326,0.13257903,0.1200554,0.11358658,0.113484226,0.11600289,0.11868874,0.12286023,0.1343687,0.15755564,0.19166757,0.22920068,0.2615722,0.2834431,0.29510888,0.30006182,0.30263212,0.30645147,0.3130915,0.3212316,0.3261538,0.3230522,0.31131968,0.29786122,0.2930006,0.30226418,0.31984198,0.33208486,0.32727674,0.304296,0.27286804,0.24638605,0.232853,0.22951178,0.22667147,0.2157541,0.19739984,0.17911142,0.16888101,0.16679382,0.16633187,0.16057126,0.15091456,0.14824851,0.16489358,0.20441735,0.25660452,0.30527434,0.3383397,0.3547782,0.3604361,0.3614702,0.35994148,0.35584673,0.34987512,0.34420452,0.34032157,0.33844173,0.3374382,0.3355786,0.3292164,0.31441298,0.2895215,0.25954995,0.23409446,0.22250558,0.22649749,0.24029325,0.25487456,0.26513898,0.2714447,0.27842724,0.2904852,0.3095446,0.33287075,0.35425988,0.36573887,0.3606632,0.33889103,0.30963352,0.2898099,0.29199865,0.31546566,0.34633783,0.3694686,0.3778738,0.37258744,0.35667852,0.33176303,0.29989138,0.26614982,0.23672587,0.21672241,0.2082532,0.21261269,0.22897358,0.25392255,0.28143644,0.30654845,0.3277533,0.34585524,0.36144772,0.37251663,0.3758664,0.36848232,0.35144374,0.32976127,0.31179646,0.3029696,0.30373028,0.30890384,0.3131996,0.31328702,0.30923137,0.3025409,0.29506806,0.28657377,0.273891,0.2532558,0.22429596,0.19142638,0.16053821,0.13566437,0.11878738,0.11114026,0.112688504,0.12098863,0.13239618,0.14575244,0.16081893,0.17532696,0.18151496,0.17511535,0.16147435,0.15791833,0.17970245,0.22880584,0.28996918,0.34165215,0.36961174,0.37308398,0.36135498,0.34412888,0.32674715,0.30904952,0.28929448,0.26640245,0.24293983,0.22422458,0.21598142,0.21757297,0.22109495,0.21473145,0.19464312,0.16873421,0.15488976,0.16656314,0.20470917,0.25472823,0.29850522,0.32434177,0.33308294,0.33169055,0.32691672,0.32145548,0.3161244,0.31149372,0.30833232,0.30654097,0.304646,0.29928467,0.28573397,0.2601422,0.22301565,0.18209575,0.1499129,0.1394067,0.15547366,0.19350304,0.23910515,0.27795884,0.30113998,0.3106881,0.31494227,0.32239604,0.33521196,0.34829995,0.35551286,0.35508716,0.35220638,0.35421947,0.36540926,0.38385502,0.40109083,0.406814,0.39411816,0.3662648,0.33441615,0.31090948,0.2996093,0.29538766,0.29020926,0.28090367,0.27034295,0.26307586,0.25994313,0.2572296,0.24836524,0.22925015,0.20075326,0.17111535,0.15210451,0.15345319,0.17670567,0.21311021,0.24915393,0.27199814,0.2761909,0.26190493,0.23439728,0.19949204,0.16367479,0.13315496,0.115711235,0.118891805,0.14623015,0.19156243,0.2398137,0.27350354,0.28300643,0.27011952,0.24577385,0.22282894,0.2109987,0.21434782,0.23083301,0.2540838,0.2761668,0.2929167,0.3078573,0.3306978,0.37004372,0.42339072,0.47771347,0.51843953,0.5425667,0.55953026,0.5795253,0.601268,0.6101091,0.59349555,0.55228996,0.50364804,0.46635947,0.45029318,0.45220348,0.46188203,0.46946073,0.47050527,0.46930647,0.47421202,0.48929477,0.50568223,0.5072915,0.4840474,0.4433527,0.40377176,0.38193437,0.37989548,0.3878921,0.39234817,0.38796782,0.38093343,0.386319,0.4165971,0.4705331,0.5289281,0.5650626,0.5631044,0.529012,0.48377725,0.4453759,0.4184232,0.39715806,0.37646744,0.3573742,0.3470569,0.3552626,0.3879588,0.43894017,0.48584747,0.5010704,0.47165796,0.4096992,0.34290698,0.29229355,0.2617806,0.24166997,0.2233835,0.20659338,0.20113589,0.22237098,0.2814026,0.3729985,0.46862364,0.53155154,0.54214406,0.5130479,0.47634363,0.45594862,0.45460847,0.45951906,0.45964244,0.45288262,0.4461788,0.4499354,0.47084346,0.5040986,0.53143907,0.53146636,0.49745107,0.4442347,0.3992876,0.3820716,0.39322197,0.41733396,0.43628803,0.44217363,0.43990254,0.44326308,0.46169996,0.493297,0.5224771,0.5318375,0.51447386,0.4804007,0.44921923,0.43559325,0.4401933,0.45092174,0.45315608,0.4401329,0.4178758,0.40402603,0.41519523,0.45380864,0.49991274,0.5257036,0.5153912,0.4772619,0.43507302,0.41093,0.41624284,0.44734013,0.4921142,0.5338892,0.5639704,0.5831309,0.5991588,0.6133079,0.617408,0.5994959,0.55879027,0.5081027,0.46753725,0.44904742,0.45279768,0.4676675,0.4814688,0.485978,0.4831687,0.4820511,0.49197626,0.511646,0.52780604,0.5236057,0.49368474,0.4485056,0.40812173,0.3869443,0.38712874,0.39980888,0.41451624,0.42624477,0.43780294,0.4566821,0.48640028,0.5200494,0.5405282,0.5334205,0.49919066,0.45439148,0.41802594,0.39773265,0.38792595,0.37860593,0.36529768,0.35177922,0.34821233,0.365479,0.40659866,0.45850888,0.49461994,0.4911717,0.445861,0.3782567,0.3144283,0.26783746,0.23769338,0.2158031,0.19736047,0.18473542,0.18942843,0.22778851,0.30618247,0.40752757,0.49116215,0.52211165,0.4951731,0.44039345,0.39323834,0.3725084,0.3732123,0.38301456,0.39357236,0.40494776,0.4216551,0.44765028,0.48185763,0.5144291,0.53070354,0.5195642,0.48400196,0.43970188,0.40724757,0.39836255,0.41312137,0.44041768,0.46814206,0.48734078,0.4978398,0.50389355,0.51053673,0.5168769,0.5175166,0.50707096,0.48736098,0.46667323,0.45441473,0.45224628,0.4537253,0.44866133,0.4317808,0.40672746,0.38585734,0.3846654,0.4103208,0.45384872,0.49184108,0.50399554,0.48666713,0.45458627,0.42735437,0.4186505,0.4313182,0.45934296,0.49101815,0.51690596,0.53527236,0.55403143,0.5782156,0.6036915,0.61395353,0.5979812,0.5568726,0.5085811,0.47137165,0.45635995,0.4601796,0.4718227,0.479076,0.47754154,0.47343007,0.47806156,0.49579263,0.5160679,0.519804,0.49576762,0.45168877,0.4084494,0.3842697,0.38189635,0.39053705,0.3959142,0.3922669,0.3856897,0.3906405,0.4191476,0.47025752,0.5255006,0.558856,0.55461115,0.5192282,0.4740657,0.43726993,0.41263476,0.39384934,0.3755971,0.35899138,0.3502638,0.3579469,0.38719383,0.43285167,0.47466525,0.4877235,0.45999122,0.40236068,0.33941388,0.2905264,0.26023543,0.24074261,0.22329725,0.2060681,0.19839297,0.21809709,0.27862278,0.37443355,0.47353506,0.53678197,0.54423285,0.51068836,0.46964887,0.44616905,0.442901,0.44717607,0.44762668,0.44220486,0.43760166,0.44378927,0.46687284,0.50184107,0.53050107,0.53137594,0.49741173,0.44351575,0.39761522,0.3795829,0.39008144,0.41356906,0.4322925,0.43856683,0.43779293,0.44392172,0.46679404,0.50351995,0.53656965,0.5462899,0.5258555,0.48720828,0.452342,0.4364059,0.4393356,0.44812632,0.4481016,0.43299878,0.4095526,0.39597845,0.4091309,0.45053625,0.49866366,0.52308106,0.5065857,0.45762768,0.40323332,0.36936033,0.3703127,0.40273654,0.45311627,0.5026514,0.5399861,0.564007,0.5815685,0.59572476,0.6006133,0.58677965,0.55310494,0.510994,0.47763976,0.4633102,0.4668741,0.47852096,0.4887412,0.49318326,0.4948349,0.50079036,0.5161323,0.53698987,0.5500641,0.5415819,0.5093389,0.46549198,0.427987,0.40777686,0.40448573,0.41028738,0.41773257,0.4245232,0.43436065,0.45368323,0.48435736,0.5176235,0.536189,0.5265271,0.49085268,0.44588396,0.40992105,0.38981426,0.38064852,0.37306288,0.36227426,0.35088554,0.34902442,0.36818826,0.4116052,0.4648312,0.5006036,0.49573806,0.44942662,0.3814254,0.31738615,0.27022073,0.23907779,0.21552406,0.19550027,0.182178,0.1867485,0.22141473,0.28994843,0.37714836,0.45134005,0.4834614,0.46806422,0.4272053,0.39007244,0.373009,0.37351987,0.38222656,0.39267993,0.40464017,0.42137194,0.4465135,0.47987995,0.512511,0.52885014,0.5166796,0.47924682,0.43420443,0.40291134,0.39594612,0.41136226,0.4377015,0.46390662,0.48275375,0.49488187,0.5048979,0.5160276,0.52533156,0.52464366,0.5093071,0.4826139,0.45609787,0.4408295,0.44022515,0.44821632,0.45308185,0.4468858,0.4300052,0.41356257,0.41199616,0.433467,0.47108564,0.5055454,0.5186903,0.5057785,0.47746608,0.4501631,0.43681797,0.44181928,0.4613603,0.48553848,0.50397426,0.51040226,0.5056159,0.493742,0.47841313,0.4587885,0.43167678,0.39485267,0.35152838,0.3102049,0.28021201,0.2660316,0.2626525,0.25940776,0.24493903,0.21538512,0.17398924,0.12921344,0.08890158,0.05795321,0.037481226,0.02581349,0.020147704,0.017686317,0.016611068,0.015962234,0.015423902,0.014837819,0.014130268,0.013251082,0.012255889,0.011255421,0.010370318,0.0096882405,0.009216528,0.008908927,0.008655584,0.008377437,0.008030116,0.0076407087,0.0072235786,0.0067917723,0.0063271555,0.0058454275,0.0053661405,0.004931154,0.004556279,0.0042516286,0.004002468,0.0037934675,0.0035994658,0.0034053859,0.003196088,0.0029679511,0.0027125247,0.0024343065,0.0021369278,0.0018390421,0.0015509821,0.0012865935,0.0010504404,0.0008496472,0.00068413356,0.0005494785,0.00043681343,0.00033851064,0.0002515862,0.00017610635,0.00011411841,6.685678E-05,3.4473127E-05,1.5029898E-05,5.2497203E-06,1.32258E-06,1.9340153E-07,1.0597432E-09,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]