[0.006460171,0.012057898,0.025423402,0.044421818,0.0644448,0.080796964,0.090676844,0.09480551,0.095443435,0.09510251,0.09517283,0.096240014,0.09794318,0.09955338,0.100363374,0.100263685,0.09963005,0.09929163,0.10038653,0.10409108,0.11060225,0.11850363,0.12525123,0.1290825,0.13011749,0.12999767,0.13015807,0.1308751,0.13140991,0.1308377,0.12870318,0.12506983,0.120357625,0.115068644,0.10978379,0.105325304,0.10248665,0.10172409,0.10249563,0.10365796,0.103871554,0.10272896,0.10074792,0.09914592,0.09867936,0.09938902,0.100782186,0.102680504,0.10550297,0.10998731,0.11651975,0.12449294,0.1321997,0.13733013,0.13801093,0.13373901,0.12548555,0.11521355,0.104968004,0.09648016,0.09064529,0.08742555,0.08589133,0.08516315,0.08514479,0.08652044,0.0895874,0.093427725,0.096224986,0.09665484,0.09468889,0.091303326,0.08755899,0.08453038,0.0833472,0.08513599,0.089704834,0.09565384,0.10093414,0.10478429,0.10746121,0.10977163,0.11178925,0.11315779,0.11350768,0.112769835,0.11134783,0.109657116,0.10825568,0.1074867,0.10818893,0.11218461,0.12131492,0.13555805,0.15069824,0.16061027,0.16040242,0.15052558,0.13563232,0.122110814,0.11416467,0.11270312,0.115610756,0.11941437,0.120702095,0.11745121,0.10979446,0.100418694,0.09324053,0.09201542,0.09811004,0.110479295,0.12564509,0.1398003,0.14990668,0.15505753,0.15604655,0.15471178,0.15311481,0.15321563,0.15667534,0.16402566,0.17407429,0.18407977,0.19156583,0.19564222,0.19754122,0.19906916,0.20169394,0.20510559,0.207967,0.20845972,0.2063335,0.20266981,0.19903727,0.19569825,0.19197647,0.18749239,0.18311632,0.17994328,0.17775558,0.1744925,0.16747214,0.15530871,0.1390677,0.12255028,0.11050168,0.10641291,0.10992846,0.117566615,0.12490132,0.12963597,0.1319652,0.13348776,0.13561817,0.13871466,0.14224695,0.145073,0.1466514,0.14716448,0.14737506,0.14750512,0.14723563,0.14660527,0.1463979,0.14791186,0.15116191,0.15468462,0.15573908,0.15246262,0.14517987,0.1367385,0.13075176,0.12923114,0.13133983,0.1340337,0.13402446,0.12962128,0.12151187,0.11239494,0.105716296,0.10420078,0.10855076,0.117156275,0.12690054,0.13499461,0.1402226,0.14307718,0.14466523,0.14606494,0.14835618,0.15297484,0.16098851,0.1721975,0.1848414,0.19721001,0.20881446,0.22046983,0.23233907,0.24238513,0.24645288,0.24049996,0.2237879,0.19990526,0.17500396,0.15377837,0.1373308,0.12401533,0.112343244,0.1028114,0.09677955,0.09448131,0.09391501,0.09301638,0.09116874,0.08985449,0.09027728,0.09306308,0.097586244,0.10339566,0.1090379,0.11308756,0.1139904,0.11209804,0.1093291,0.10903444,0.114166796,0.12573676,0.14199801,0.15917142,0.1741399,0.18603182,0.19644733,0.20688967,0.21727894,0.22515815,0.2280116,0.22456706,0.21634714,0.20587242,0.19549824,0.18576878,0.17597283,0.16521053,0.15337457,0.14202501,0.1331736,0.12846412,0.12742545,0.12854858,0.13009895,0.1314465,0.13260062,0.13380572,0.13517469,0.13638175,0.13649218,0.13419217,0.12866244,0.12057445,0.11182645,0.1049752,0.10178613,0.10283483,0.107230276,0.11350915,0.12031657,0.12659438,0.13134056,0.13357246,0.13294823,0.1297133,0.12427042,0.11716459,0.1104894,0.10881576,0.11710254,0.13672818,0.16303688,0.18832272,0.20658183,0.216838,0.22129883,0.22290291,0.22317642,0.22258963,0.22099747,0.22036959,0.22653003,0.24783254,0.28563055,0.32869104,0.35599974,0.35398206,0.32528245,0.28705096,0.25589994,0.23967105,0.2363752,0.23885103,0.24023275,0.23668276,0.22997569,0.22392668,0.22157174,0.22220357,0.22406773,0.22657253,0.23068453,0.23652606,0.24157996,0.2414131,0.232292,0.21411817,0.19238083,0.17695747,0.17692828,0.19402528,0.21954723,0.24017136,0.24697393,0.24236082,0.23561448,0.23473948,0.23920625,0.24276185,0.2389981,0.22602527,0.20492826,0.17718871,0.14412424,0.108631946,0.075824186,0.05057159,0.0346739,0.026506787,0.023754837,0.026740244,0.03925833,0.06562881,0.10548601,0.15134875,0.1918417,0.21856226,0.22943465,0.22708982,0.21479304,0.19563435,0.17295797,0.1505573,0.13133305,0.1175256,0.11222714,0.118710615,0.13740169,0.16202061,0.18194537,0.18754734,0.17697078,0.15683685,0.13936697,0.13540332,0.14880167,0.17371209,0.19868381,0.21388869,0.21685453,0.21168204,0.20449203,0.20017795,0.20160846,0.20968215,0.22172976,0.23217706,0.23562008,0.23054968,0.21984519,0.20791166,0.1982259,0.19073744,0.18252166,0.16938365,0.15133983,0.13372245,0.12394047,0.12426031,0.13057655,0.13827837,0.14829218,0.16626759,0.19451964,0.22785354,0.25626013,0.27284253,0.27695784,0.27213803,0.2611649,0.24436547,0.22061022,0.19054262,0.15847999,0.13261947,0.1209024,0.12651454,0.14494781,0.16752739,0.1864565,0.19922972,0.20738602,0.21382332,0.21962525,0.2242866,0.22664535,0.22700626,0.22654565,0.22585462,0.22211951,0.2111842,0.19183238,0.17070752,0.15801097,0.16042446,0.17414291,0.19011365,0.19989477,0.2020176,0.19804257,0.19122629,0.18278807,0.1736808,0.16339593,0.15320827,0.14713854,0.15186943,0.17075117,0.19941469,0.22682317,0.242993,0.24468285,0.23625259,0.22465257,0.21648388,0.21540481,0.22240925,0.23483722,0.24760883,0.25498047,0.2531623,0.2420963,0.22573793,0.21065952,0.20272623,0.20340388,0.20896126,0.21288104,0.21077174,0.20209013,0.18970288,0.17754634,0.1700623,0.17147543,0.18365957,0.20418431,0.22663403,0.24456094,0.25509432,0.2590387,0.25885913,0.2555152,0.24887882,0.23767728,0.22188608,0.20317714,0.18612629,0.17574392,0.1746481,0.18045123,0.18820675,0.19409199,0.19866109,0.20485096,0.21423437,0.22352134,0.22555543,0.21454142,0.1916262,0.1664323,0.15112646,0.15199727,0.165105,0.18020125,0.18942064,0.19180034,0.19206434,0.19489652,0.20238721,0.21378578,0.22784264,0.2428906,0.25672314,0.26502112,0.26424682,0.25337878,0.2368949,0.22064364,0.20979424,0.2052638,0.20550941,0.2070506,0.20728765,0.20611764,0.20635164,0.21080513,0.21857613,0.22488709,0.22510795,0.21911518,0.21165209,0.20848908,0.21275191,0.22304887,0.23510326,0.24342234,0.24389707,0.23367155,0.21301466,0.18575491,0.16135705,0.14889061,0.15264696,0.16687198,0.18425523,0.199459,0.214034,0.22823532,0.24118812,0.24934275,0.2523539,0.25169507,0.24995972,0.24714781,0.24078555,0.22721036,0.20539175,0.17921342,0.15663566,0.14520697,0.14748776,0.16012454,0.17671216,0.19189925,0.20336778,0.2112944,0.21694833,0.22144656,0.22534429,0.22943123,0.23598228,0.24965096,0.27194238,0.29719415,0.31372154,0.31672883,0.31568313,0.32310018,0.3388373,0.34340155,0.32215464,0.27685407,0.22769491,0.1889077,0.16525836,0.15456857,0.15837124,0.17861122,0.21300644,0.25749493,0.3065629,0.35485604,0.38913742,0.3991103,0.3828702,0.3547704,0.3309565,0.32057896,0.32124463,0.3254956,0.32736516,0.32625774,0.3281674,0.34073982,0.3620622,0.37953815,0.37646732,0.35407534,0.32638493,0.31182614,0.3088741,0.30706856,0.29469845,0.27479598,0.25649223,0.25073096,0.2639806,0.29469538,0.33127692,0.35324332,0.34783852,0.3192278,0.2876704,0.27008355,0.2686639,0.2732923,0.27389863,0.26794574,0.25819275,0.24734539,0.23469853,0.21735047,0.19382858,0.16722745,0.14474903,0.13290405,0.13267578,0.13875145,0.14582787,0.15349074,0.16576146,0.18510203,0.20937091,0.23682773,0.26589027,0.2951076,0.3149334,0.3166014,0.29605165,0.26271966,0.23066306,0.21207333,0.20826478,0.21066321,0.20787863,0.19451205,0.17600882,0.16276126,0.16351007,0.18077864,0.21398728,0.2617353,0.3174223,0.36592305,0.38580573,0.3675581,0.32177174,0.27485892,0.24712901,0.24231707,0.25044188,0.25980845,0.26458248,0.26675284,0.27447033,0.29605463,0.329433,0.36107102,0.37380978,0.36544982,0.3459686,0.3293302,0.31619585,0.3020799,0.28254905,0.261218,0.24352743,0.23606004,0.24575503,0.27342263,0.3088391,0.33010197,0.3237547,0.29453814,0.26441002,0.25048593,0.2541551,0.26252627,0.261382,0.24509674,0.22032218,0.20397286,0.21343333,0.25222126,0.30559862,0.34998742,0.37445214,0.3816707,0.37959185,0.36570254,0.33677277,0.2969556,0.26108545,0.24133776,0.24016583,0.2525834,0.2694002,0.28126538,0.27851442,0.26075575,0.23450686,0.21059155,0.19234078,0.18010187,0.17485833,0.18210112,0.20354293,0.23275322,0.25716123,0.26764166,0.26367548,0.255265,0.25611675,0.27869734,0.32026577,0.36360666,0.3813356,0.36194348,0.3162861,0.27264342,0.24989004,0.24718766,0.24982877,0.24531978,0.23378979,0.22509356,0.23359466,0.2654319,0.31204498,0.3513936,0.36485985,0.3536602,0.33428726,0.32278207,0.3178797,0.31155896,0.29796693,0.2816755,0.26860347,0.26427057,0.27406183,0.2993826,0.33403325,0.36038256,0.36661804,0.3522705,0.33096913,0.3126297,0.30005026,0.2884584,0.27414426,0.25621527,0.23751156,0.22290063,0.21624911,0.21682943,0.21920568,0.21733038,0.21070753,0.20370619,0.20242979,0.20685197,0.21380532,0.21739596,0.21582133,0.2088316,0.20203745,0.20420025,0.22171132,0.24938977,0.2702012,0.2708647,0.25231028,0.2290355,0.21319468,0.20749931,0.20834857,0.2126172,0.21950807,0.22696362,0.23250525,0.23495299,0.23580278,0.2389176,0.24916536,0.27386197,0.31289795,0.35641792,0.38184032,0.3764269,0.34282896,0.3017898,0.2692329,0.25181842,0.24588633,0.24735403,0.25284478,0.2607458,0.27371195,0.29658738,0.3295526,0.36183617,0.37811732,0.37300873,0.3533046,0.33147052,0.31155983,0.29340068,0.27397203,0.25373524,0.23368108,0.2200075,0.22420102,0.25252524,0.29679763,0.3322084,0.34216282,0.32750952,0.30700862,0.29220045,0.28299525,0.2709544,0.25271147,0.23181587,0.21579899,0.21494882,0.23630549,0.27826706,0.32562315,0.36060026,0.37748417,0.38267875,0.38452527,0.37907436,0.3625345,0.33627555,0.3131188,0.30053055,0.29993376,0.3052626,0.31072605,0.31002486,0.29836056,0.27625954,0.24994558,0.22863491,0.21619636,0.21193098,0.21264863,0.21724351,0.22473925,0.23250657,0.23795861,0.24000633,0.24019708,0.2410242,0.24804427,0.26998356,0.3101042,0.35917464,0.39473966,0.40119413,0.37827936,0.3413507,0.30323926,0.27042627,0.24483897,0.23008005,0.22978033,0.24453424,0.27223802,0.3078989,0.34218684,0.36239696,0.36011788,0.34003755,0.31615856,0.30070508,0.29415226,0.2902424,0.2836963,0.27517882,0.26957563,0.27292398,0.29115173,0.3212506,0.35131928,0.36203465,0.34708488,0.3150026,0.28572965,0.26945913,0.26444724,0.26179066,0.25612107,0.2464555,0.23258454,0.21549267,0.19879776,0.1884555,0.18722795,0.19190365,0.19780642,0.20206521,0.20540567,0.20693801,0.20698768,0.20635808,0.20813079,0.21327098,0.2226472,0.23760407,0.2581776,0.27891204,0.2900797,0.28668293,0.27329198,0.2607088,0.25547647,0.2559063,0.25525022,0.24908884,0.23863631,0.2283536,0.22320752,0.22530508,0.23576985,0.25374648,0.2795026,0.31235608,0.34797552,0.3754386,0.38041225,0.35803238,0.31712767,0.2769429,0.25140402,0.24400455,0.24990034,0.26301265,0.2800337,0.29932883,0.3227043,0.3505036,0.38019976,0.40284744,0.4118952,0.4071758,0.39497873,0.37893257,0.3588595,0.3347449,0.31153738,0.29587922,0.29295287,0.30464196,0.3311381,0.3655821,0.39530158,0.40459266,0.38992345,0.3592544,0.32860222,0.30648127,0.2942072,0.28685048,0.28033474,0.27260923,0.26645964,0.2698208,0.28901663,0.32021692,0.3483975,0.36112678,0.36122978,0.36074245,0.3658484,0.3677076,0.35714415,0.33409417,0.30941167,0.2917987,0.28551352,0.29097116,0.3065572,0.32591644,0.33921075,0.3394129,0.32697162,0.3084074,0.29050645,0.2767227,0.26666626,0.25802213,0.24764347,0.23441975,0.2207291,0.21372367,0.2197832,0.24171835,0.27586505,0.3178598,0.35958418,0.3914725,0.4000577,0.38229117,0.3460828,0.31038716,0.2875142,0.28108656,0.28579125,0.2972875,0.31367418,0.33582416,0.36494815,0.3978447,0.4259753,0.43704382,0.4274541,0.40399024,0.3797268,0.35946426,0.34072745,0.31979728,0.29958403,0.2853161,0.28069544,0.28714523,0.3063576,0.33529285,0.3639327,0.3770734,0.36913,0.3468021,0.32546902,0.31320265,0.30873,0.30368242,0.29195252,0.27153704,0.24611457,0.22221859,0.20642187,0.19974798,0.19861491,0.19945782,0.20436867,0.21678704,0.23524229,0.25147748,0.25906983,0.25900653,0.2584425,0.26252446,0.27220115,0.2851176,0.2990144,0.31061175,0.3172914,0.317778,0.3136901,0.30648056,0.29656705,0.28405905,0.27103794,0.26032293,0.25327578,0.24883531,0.24638075,0.24623062,0.25023985,0.2599436,0.27863625,0.30879351,0.34698972,0.38093033,0.3947707,0.38348222,0.35545623,0.32758787,0.30971482,0.30240628,0.2987232,0.29288062,0.2841461,0.2784772,0.2859271,0.31020537,0.3441476,0.36968052,0.3753406,0.36004415,0.33409047,0.3035891,0.27292654,0.24366619,0.22049814,0.20445459,0.19652955,0.19975092,0.22215675,0.26512635,0.31754127,0.35856748,0.3761069,0.37222812,0.35950816,0.34611857,0.33428302,0.32224467,0.31000474,0.29960608,0.2946479,0.3000644,0.31576362,0.33533716,0.3463064,0.34463075,0.335986,0.33046904,0.32829145,0.3223447,0.3095992,0.2961065,0.29118833,0.2961205,0.3077567,0.3215011,0.33648074,0.34839788,0.35130253,0.33738628,0.3062011,0.26535562,0.23090506,0.2166156,0.22558029,0.24720596,0.26614404,0.27342224,0.2699522,0.2615265,0.25099894,0.23713948,0.21853761,0.19927514,0.18866862,0.1955011,0.22052681,0.25426808,0.28222665,0.29398665,0.2888094,0.27448645,0.2600658,0.24990374,0.24173857,0.23100752,0.21511002,0.19682999,0.1826349,0.18124461,0.19735782,0.22941478,0.26602903,0.29386318,0.30240986,0.29050744,0.2619904,0.22374034,0.18283975,0.14669138,0.12103141,0.10775009,0.10571179,0.112891495,0.12823828,0.14902611,0.16923241,0.18130589,0.183087,0.1811346,0.18678086,0.20674525,0.23767586,0.26905152,0.29097426,0.2997979,0.298161,0.2915356,0.28511593,0.28174138,0.2811521,0.27998897,0.27450848,0.26369125,0.25065473,0.23984839,0.23325968,0.22922303,0.22478038,0.21858294,0.2113298,0.20390688,0.196037,0.18663031,0.17653783,0.1701863,0.17448717,0.19358546,0.22428595,0.25646383,0.27919403,0.28713557,0.28235653,0.27137247,0.26133266,0.2573154,0.260967,0.26975402,0.27799854,0.28007588,0.27425167,0.26351166,0.25283182,0.24469177,0.23805292,0.23027463,0.21998721,0.20760106,0.1937931,0.17906119,0.16339488,0.14759497,0.13273793,0.12027421,0.110762954,0.1038092,0.09830195,0.09373659,0.090472944,0.08909737,0.08909913,0.08927944,0.088921644,0.08864393,0.089522414,0.09154475,0.0935488,0.09407464,0.0931611,0.09243872,0.09480208,0.1019814,0.113002725,0.124292046,0.13388996,0.14550728,0.16648288,0.20020019,0.23921378,0.27022317,0.28484198,0.2872833,0.2884688,0.2951025,0.30437848,0.30919358,0.30608204,0.29780558,0.28910494,0.28261805,0.27739504,0.27177832,0.2644788,0.2548747,0.24105078,0.22080241,0.19408153,0.16614473,0.14605898,0.14146048,0.1529964,0.17386349,0.1949227,0.21040857,0.22008972,0.22663917,0.23228973,0.23759048,0.24189788,0.24471098,0.24519753,0.24242783,0.23439972,0.21924107,0.19682217,0.17194699,0.15428774,0.15380986,0.17367198,0.20701335,0.24010833,0.25973633,0.25837344,0.23680119,0.20197122,0.1644312,0.13298135,0.11233588,0.101902544,0.098627895,0.0990377,0.10093919,0.10314974,0.10517476,0.10683665,0.10820306,0.10944688,0.110653944,0.111714125,0.11229115,0.112028904,0.11074063,0.10880286,0.107083865,0.10654247,0.10772646,0.11100034,0.11739043,0.12824492,0.14368133,0.16091222,0.17595749,0.18701582,0.19643575,0.20750529,0.21996623,0.22885053,0.22889797,0.21957676,0.20568974,0.19379984,0.1870986,0.18416892,0.17955488,0.1684226,0.14993323,0.13011086,0.11920708,0.1255793,0.14993459,0.18377948,0.21533382,0.23558123,0.24224342,0.23686011,0.22132295,0.19711588,0.16804077,0.14281462,0.13129045,0.13885385,0.16162385,0.18975715,0.21271491,0.22409432,0.22137053,0.20549168,0.1809579,0.15711461,0.14538509,0.15325956,0.17861658,0.21032222,0.23607945,0.2493913,0.25170746,0.24674213,0.23604654,0.21806927,0.19198972,0.16086116,0.13077779,0.10749692,0.09302155,0.085624844,0.082092695,0.07987382,0.07800219,0.07635781,0.07527434,0.07495357,0.07544003,0.07648317,0.07763103,0.07844112,0.07866777,0.078324504,0.0775859,0.07663519,0.07562309,0.074678116,0.07382429,0.07299531,0.072002806,0.07077011,0.069321156,0.06777672,0.0662154,0.064733714,0.06353414,0.0629146,0.06306006,0.063837044,0.06481832,0.065554716,0.06591698,0.06614602,0.066766106,0.06813613,0.070322484,0.07285934,0.07524901,0.077116035,0.0786191,0.08000023,0.081471644,0.08300383,0.084928565,0.090676844,0.10851344,0.15069002,0.22081715,0.3054348,0.3738205,0.40162858,0.3868014,0.35128883,0.3190205,0.30066785,0.29231468,0.28560498,0.27627122,0.26480553,0.25478068,0.24900402,0.24807067,0.24999945,0.2529939,0.25625238,0.2601395,0.26279068,0.2625225,0.25838533,0.25406268,0.25307524,0.25741446,0.26396236,0.26823485,0.2658633,0.25605446,0.2411942,0.22674178,0.2182467,0.21914822,0.22892193,0.24384795,0.25854412,0.26782027,0.26836732,0.2598876,0.24551994,0.23034114,0.2195381,0.21600853,0.21922155,0.225657,0.23146982,0.23527122,0.23836988,0.24238439,0.24744014,0.25205266,0.25530598,0.2569265,0.25748786,0.25741968,0.25775602,0.25980508,0.26388195,0.26873705,0.2717357,0.27168873,0.2688085,0.26556003,0.26434013,0.2675619,0.2746675,0.28227833,0.28453517,0.2777325,0.26289615,0.24606276,0.23446457,0.2318181,0.23659603,0.24307752,0.24641438,0.24452718,0.2389605,0.23189998,0.2262199,0.22510791,0.2310832,0.2433147,0.25668564,0.26595426,0.2693459,0.26951483,0.26943234,0.27007052,0.27019608,0.26812434,0.26281783,0.25421724,0.2438296,0.23306425,0.2217089,0.20713295,0.18891825,0.17275965,0.16851933,0.18179215,0.20722757,0.23286271,0.24857445,0.25316498,0.25142992,0.25025356,0.25328913,0.2605448,0.2680469,0.27190158,0.2706025,0.26647148,0.26290944,0.2624924,0.2665538,0.27519956,0.2870416,0.29791868,0.30304953,0.29961488,0.28899702,0.27522162,0.263307,0.25901088,0.26862845,0.29464653,0.33080277,0.3638936,0.38466278,0.3952826,0.40249887,0.40634915,0.39729717,0.37052214,0.33208492,0.29638508,0.27145922,0.25748873,0.24924485,0.24330032,0.23960261,0.2423131,0.25932887,0.29422092,0.3402634,0.3773676,0.38791168,0.3683538,0.33424687,0.30450907,0.28929433,0.2849475,0.2824032,0.27493554,0.26254967,0.24981534,0.24149685,0.2383676,0.23741204,0.23536016,0.23198967,0.22963963,0.22952478,0.23075403,0.23143683,0.23250055,0.23612213,0.24375069,0.2528709,0.25894776,0.25853083,0.2512006,0.24013323,0.229985,0.22663735,0.23333818,0.2490459,0.26680174,0.27880344,0.28071353,0.27435955,0.26458195,0.25533867,0.24810873,0.24240065,0.23842233,0.23589687,0.23417477,0.23093142,0.22584806,0.22100073,0.2202236,0.22448044,0.2314712,0.23723583,0.23983236,0.23981918,0.23923458,0.23972009,0.24136686,0.24270444,0.24167281,0.23761551,0.23239724,0.22970986,0.2327316,0.24210839,0.25551942,0.26918837,0.27968895,0.28598428,0.28870335,0.2890917,0.28644565,0.27991048,0.27004862,0.26058087,0.2546778,0.25224844,0.2491421,0.24203105,0.23128007,0.22233821,0.22078866,0.22935213,0.24458921,0.26019964,0.27046075,0.27399015,0.27294913,0.27036282,0.2681211,0.26623273,0.263775,0.25941965,0.25285384,0.24499285,0.23670758,0.22666596,0.21192592,0.19276214,0.17632903,0.1730622,0.18766285,0.21377343,0.23926537,0.2550269,0.26013494,0.2591867,0.25823864,0.2607455,0.26613095,0.27019247,0.26925337,0.26345643,0.25669196,0.2530346,0.25401714,0.25980607,0.2695296,0.28186175,0.29272607,0.2980031,0.2951459,0.28554797,0.2724975,0.26077744,0.25704733,0.2683623,0.2966163,0.33350328,0.3656933,0.38584337,0.39762917,0.4062481,0.40834758,0.39426246,0.36180422,0.320959,0.2863263,0.26444486,0.2530502,0.24609232,0.24028361,0.23754509,0.24483657,0.27166685,0.31784764,0.37027264,0.40445343,0.40755025,0.38344228,0.35204068,0.32731593,0.3132694,0.30408192,0.29563245,0.28871426,0.29015267,0.30800113,0.34295025,0.38241574,0.4056295,0.4005991,0.37511864,0.34906396,0.3364519,0.33517715,0.3355244,0.33038318,0.32081488,0.31209508,0.3115672,0.32594982,0.35398427,0.3846096,0.39924213,0.39066634,0.3657225,0.34283888,0.3322332,0.3341833,0.341073,0.34843287,0.35625103,0.3685098,0.38919675,0.41731143,0.44451532,0.45953646,0.45894763,0.45193914,0.44797543,0.44617137,0.4322531,0.40092397,0.36015448,0.33004943,0.3204436,0.33075985,0.35058317,0.37014544,0.38077554,0.37915465,0.36826244,0.35626474,0.3501706,0.35147014,0.35590044,0.3576938,0.3525975,0.34064206,0.32488838,0.31063125,0.3016417,0.2993684,0.30405635,0.31701708,0.3417031,0.37480924,0.40542468,0.41558003,0.399799,0.36612043,0.3339728,0.3144693,0.30916604,0.311941,0.3184843,0.32766125,0.3414648,0.3625897,0.38959882,0.41366374,0.42225233,0.41013992,0.38593915,0.3642417,0.35323855,0.3487692,0.34335098,0.33277965,0.31851235,0.3045617,0.29815808,0.30903852,0.338805,0.37586465,0.39733216,0.39193043,0.36482856,0.33444336,0.31183413,0.3000407,0.29639423,0.2997333,0.30898088,0.32402834,0.34757552,0.38020906,0.41550577,0.43965062,0.44643596,0.44371685,0.44396082,0.44789112,0.44158104,0.41688523,0.37959316,0.34785733,0.3324879,0.33591318,0.35322163,0.3774869,0.39999577,0.41318437,0.41850057,0.42106923,0.42314115,0.41582295,0.39191163,0.35490432,0.3200518,0.30025566,0.29742,0.30540708,0.31703985,0.328851,0.34048188,0.35468292,0.3757372,0.40201083,0.42462552,0.42941308,0.4137859,0.3860624,0.36261106,0.35073856,0.3509957,0.35937896,0.37466124,0.39640892,0.42336652,0.4532729,0.48066354,0.49820474,0.4980857,0.48092267,0.45484793,0.43084654,0.41269147,0.39868963,0.3865832,0.37744465,0.37326932,0.37587318,0.38761654,0.4106169,0.43839929,0.4564712,0.44861364,0.41614684,0.37459266,0.34528038,0.334981,0.33945522,0.34920445,0.36035526,0.37219012,0.3839449,0.39221466,0.3935263,0.3884276,0.3832873,0.38684633,0.40370908,0.4277921,0.44630906,0.44732368,0.4317095,0.4094504,0.39403751,0.3906959,0.39866444,0.41197303,0.4253336,0.43336168,0.4342854,0.42916822,0.42219982,0.4161121,0.41147125,0.40652347,0.40047953,0.3944967,0.39149487,0.39323625,0.3987368,0.40465674,0.40879396,0.41312465,0.42294943,0.442337,0.465989,0.48133528,0.4746177,0.44618964,0.40767372,0.3770013,0.3639715,0.3716024,0.39481494,0.42222968,0.43777886,0.42898908,0.39831984,0.35993567,0.3313668,0.32148,0.3325301,0.36033693,0.39399612,0.41639698,0.41287675,0.3843467,0.344658,0.31167182,0.29496852,0.29960284,0.32554707,0.36473557,0.39789912,0.40524697,0.38389376,0.34822047,0.3188517,0.30672845,0.31507918,0.3405591,0.372911,0.3943371,0.38866368,0.35684216,0.31401548,0.27867544,0.25658932,0.24672048,0.24654455,0.25727466,0.27600935,0.2953162,0.30622151,0.30514935,0.29289958,0.2731029,0.25118348,0.2362777,0.23685229,0.25425148,0.27899426,0.2977579,0.30261758,0.29587257,0.28535804,0.27847347,0.27735862,0.27965832,0.27855134,0.2679375,0.24573433,0.2196723,0.2024702,0.20536183,0.22843742,0.2615172,0.2897618,0.30261412,0.29754212,0.2780101,0.24970786,0.21706128,0.1845082,0.15607142,0.13578163,0.12475144,0.12180797,0.12419174,0.13055606,0.14051443,0.1536849,0.16749455,0.17831703,0.1828428,0.17960352,0.16870905,0.15162222,0.13139676,0.11183163,0.09662946,0.087736875,0.08571493,0.08921831,0.095716715,0.10184878,0.10593116,0.109294645,0.11482174,0.12374729,0.13304242,0.13857467,0.13788448,0.13251759,0.12515067,0.11846143,0.114640236,0.115633786,0.12207983,0.1324877,0.14577095,0.16327624,0.1879713,0.21943593,0.25145862,0.27519214,0.28532943,0.28341067,0.27514863,0.26601574,0.25829998,0.25211933,0.24731487,0.24431533,0.24370198,0.24513973,0.24782117,0.25015905,0.25057998,0.24754542,0.24120508,0.23328821,0.22620763,0.22072548,0.2156014,0.208613,0.19925636,0.19016369,0.18670112,0.19307618,0.20846969,0.22643791,0.23947673,0.24401641,0.24174373,0.23678315,0.23316984,0.23399417,0.24121042,0.25429216,0.2695979,0.28207257,0.2885281,0.2892016,0.28678107,0.28363824,0.28076985,0.27757496,0.27353218,0.26839307,0.2629616,0.25788948,0.2536737,0.24976663,0.24599893,0.24300064,0.24238111,0.24457295,0.24788408,0.24971683,0.24881639,0.24636824,0.24387704,0.2419072,0.23901783,0.23367345,0.22476308,0.21279468,0.19898422,0.18480815,0.17129284,0.15943123,0.15102875,0.14822237,0.15235002,0.16207623,0.17429425,0.18561965,0.19473873,0.20182501,0.20782161,0.21269637,0.21564311,0.21483772,0.2099911,0.20420878,0.20571144,0.22081931,0.24828595,0.27568746,0.29203582,0.2951529,0.29528764,0.30132163,0.3148757,0.3283709,0.3343632,0.33142483,0.32715932,0.33442244,0.3603911,0.39707065,0.42233476,0.41701603,0.38128433,0.33434203,0.29813382,0.28203106,0.2822957,0.29054555,0.3009456,0.31309226,0.33024582,0.35820055,0.39483917,0.43002924,0.4456184,0.43551692,0.40354308,0.3633605,0.32034108,0.2787353,0.24154705,0.21431959,0.19814777,0.19251697,0.20361418,0.23930228,0.29752132,0.35446808,0.383123,0.37291518,0.33886755,0.30299193,0.27826247,0.2656246,0.2624869,0.26753494,0.27913263,0.2934291,0.30529222,0.3095498,0.30351397,0.28815475,0.26963654,0.254567,0.2455153,0.23856656,0.22843279,0.21437407,0.20110357,0.19581296,0.20217858,0.22119881,0.2479157,0.2750732,0.29060203,0.28811654,0.26662153,0.23450387,0.19927604,0.16847454,0.14748026,0.14247274,0.1547786,0.17821306,0.20110439,0.21468604,0.2177756,0.21669321,0.22084285,0.24097069,0.2813928,0.33418247,0.37688756,0.3884896,0.3645428,0.32134128,0.2804606,0.2543784,0.24273932,0.2388866,0.23618393,0.23319067,0.2356206,0.25472197,0.29309666,0.33978453,0.3718859,0.37918666,0.36457708,0.3424842,0.31609604,0.28547338,0.24810253,0.20999984,0.17770213,0.16090238,0.17038167,0.21193652,0.27602604,0.33511305,0.36370376,0.35535166,0.327521,0.30222127,0.29125527,0.29161277,0.29335362,0.28728402,0.27268532,0.26009557,0.26727298,0.30020356,0.3470144,0.38270864,0.398464,0.400753,0.40277746,0.40004435,0.38291082,0.34936175,0.3133669,0.29018164,0.28519607,0.29599735,0.3151901,0.33384815,0.3386334,0.32302964,0.29107448,0.25907642,0.24074517,0.24076867,0.25266019,0.26646256,0.27304694,0.26702818,0.249022,0.22666293,0.21195586,0.21467662,0.23797977,0.27990136,0.3326223,0.38294327,0.41106787,0.4047344,0.36676955,0.31772202,0.27862203,0.26099598,0.2624694,0.27431658,0.2875457,0.3003873,0.31923184,0.3535216,0.39930376,0.43806207,0.44577086,0.41995832,0.3756646,0.3353199,0.30331495,0.27622083,0.24825938,0.2230525,0.20498848,0.20093377,0.2195251,0.2652234,0.32791746,0.3801035,0.39851487,0.38088453,0.34886786,0.32500586,0.31780803,0.31974414,0.32009253,0.3128693,0.2986288,0.28142664,0.2660981,0.2562237,0.25252,0.2532346,0.25549474,0.2574115,0.25858954,0.25951526,0.26065847,0.26191416,0.26255357,0.2622368,0.26077345,0.26040986,0.26099595,0.26169014,0.2558078,0.24096431,0.21640557,0.18851686,0.16147317,0.1407906,0.13089831,0.13670073,0.1579905,0.18773766,0.2160116,0.2359959,0.24661593,0.25202176,0.2599626,0.28245038,0.32406494,0.37599066,0.41256288,0.4157451,0.38657868,0.34786725,0.31978068,0.30918205,0.30840302,0.30690634,0.2981479,0.28343344,0.27289906,0.2794133,0.30648592,0.34248373,0.36787257,0.37470815,0.3677616,0.35844752,0.34758803,0.3329483,0.31259117,0.29301766,0.28142753,0.2849411,0.30818927,0.34797612,0.39005372,0.41145203,0.40049228,0.36448932,0.32605347,0.30171105,0.29335734,0.29159263,0.28669584,0.27585876,0.26495656,0.26733097,0.2948593,0.34461644,0.39751482,0.43025354,0.43928385,0.43518534,0.43119457,0.42090932,0.39594388,0.35448077,0.3123044,0.28349993,0.27513662,0.28472808,0.3051292,0.32581794,0.33321968,0.32174313,0.29588854,0.27007264,0.2540683,0.2502622,0.25327384,0.25818554,0.26182708,0.26362026,0.26344684,0.26214954,0.26062822,0.2596638,0.25797954,0.2530503,0.24131273,0.22124314,0.19394112,0.16526128,0.14339644,0.13678627,0.14870793,0.17609704,0.20980568,0.23984087,0.2596028,0.26846874,0.26929334,0.2638455,0.2503185,0.22575136,0.19146258,0.15519755,0.1274077,0.11458859,0.115877844,0.124999784,0.13464159,0.13960634,0.13833016,0.13327508,0.13039832,0.13549082,0.14966118,0.16642755,0.17517291,0.16876598,0.15002441,0.13175005,0.12740155,0.14242965,0.16939132,0.19597548,0.21266387,0.21888523,0.21834147,0.21450026,0.20762968,0.19740115,0.18506898,0.17344779,0.16461055,0.15828606,0.15190232,0.14282106,0.13021322,0.11657498,0.10656514,0.10561827,0.117049076,0.13987303,0.16770296,0.19153659,0.20541827,0.20953594,0.20868535,0.20641853,0.20295918,0.19640057,0.18682872,0.17699635,0.17072658,0.16998386,0.17389838,0.1804461,0.1886105,0.19976676,0.21461773,0.23112595,0.24320865,0.2462169,0.23937301,0.22729349,0.21540827,0.20857048,0.209686,0.21903922,0.23331417,0.24532352,0.24921893,0.24255054,0.22874628,0.21284705,0.20085628,0.19722247,0.20338665,0.2161882,0.2272525,0.22966437,0.2203473,0.20422627,0.18857694,0.18269677,0.19364893,0.22383432,0.26636526,0.3045092,0.32155314,0.30982855,0.27748826,0.24099807,0.21833502,0.2212403,0.25203338,0.30105564,0.3480681,0.37355885,0.36835814,0.33988872,0.3032349,0.27606723,0.27074328,0.29301074,0.3362172,0.38543352,0.42751947,0.46019515,0.48878872,0.5147036,0.530292,0.52695113,0.5021075,0.46558616,0.4303464,0.41172776,0.4136219,0.42843047,0.434953,0.4164383,0.37173548,0.31489506,0.2613739,0.21705659,0.18295896,0.1602639,0.15268762,0.16272335,0.19232582,0.24433124,0.31409368,0.38610163,0.4345026,0.44658318,0.42801747,0.40182623,0.3836827,0.37817982,0.37881896,0.38154113,0.3856837,0.39499244,0.41265902,0.43784848,0.4622209,0.4731277,0.46398103,0.4405156,0.4167806,0.40209937,0.39570406,0.39156246,0.3866439,0.38236868,0.38196564,0.38843295,0.40522608,0.43062142,0.45667878,0.4692428,0.4626325,0.44152594,0.41986832,0.40635386,0.40200186,0.40162003,0.40047196,0.3987861,0.40118575,0.41532218,0.44168878,0.47055843,0.4851141,0.4780879,0.45914188,0.44466105,0.4415653,0.4406247,0.4327697,0.41741183,0.40432858,0.39951763,0.4035798,0.41172552,0.4193186,0.4224298,0.41975164,0.41371003,0.40845084,0.4066622,0.4069583,0.40656984,0.40370092,0.39948413,0.39580107,0.39455232,0.39559594,0.39808,0.40016353,0.40338036,0.41175377,0.43044147,0.45504987,0.47308168,0.4693214,0.4434874,0.40716064,0.37674204,0.3576292,0.34890607,0.34713867,0.35184526,0.36159322,0.37513554,0.39367267,0.41818044,0.44398212,0.45814928,0.45205387,0.4290373,0.40376803,0.38681364,0.37937596,0.37597457,0.37276414,0.36882952,0.36671877,0.3719262,0.39082837,0.42032874,0.4464166,0.4502355,0.42788562,0.39022902,0.35599232,0.33372685,0.32365343,0.321384,0.325081,0.3342348,0.34985837,0.3745506,0.40768608,0.44110072,0.4611058,0.46183112,0.45213577,0.44483367,0.4426464,0.43426785,0.41299203,0.38319814,0.35930517,0.3494234,0.35418355,0.36749363,0.3822672,0.39305803,0.3997554,0.40972552,0.42811736,0.449892,0.45756528,0.43906936,0.39814135,0.3534719,0.32090473,0.304487,0.29812685,0.2948978,0.29249343,0.29490638,0.30983266,0.3434439,0.3904995,0.43519625,0.45819223,0.4547886,0.43415192,0.41363683,0.40145305,0.39822778,0.39833522,0.39939114,0.4007472,0.4064457,0.4204916,0.44323733,0.4655602,0.47350207,0.4600434,0.4312147,0.400833,0.37709832,0.36017898,0.34737802,0.3399916,0.34074652,0.35105503,0.37002596,0.3974202,0.42835602,0.4533907,0.45960724,0.44560888,0.4201406,0.39890775,0.38832483,0.38725176,0.38841832,0.38792476,0.3864998,0.3901337,0.40629733,0.4348782,0.4663979,0.48464262,0.4840096,0.47132945,0.46054065,0.4554553,0.45053354,0.43953624,0.4246454,0.41322196,0.41016364,0.4149073,0.4226769,0.42766237,0.42562142,0.41677868,0.40556082,0.39705095,0.39275596,0.39107037,0.39019504,0.39091325,0.39475444,0.40201268,0.41034985,0.416725,0.41947243,0.41913578,0.4192272,0.4238164,0.43570948,0.44941425,0.45386276,0.43799278,0.40475997,0.36806595,0.34429932,0.3381873,0.34484616,0.35593918,0.36581957,0.37321505,0.38023284,0.39363828,0.41565537,0.44073907,0.45373133,0.44659957,0.42322418,0.39738727,0.37741378,0.36338404,0.35194004,0.3419985,0.3356143,0.3356488,0.3473953,0.37414718,0.4102516,0.44025633,0.45011082,0.44380453,0.43579212,0.43746582,0.44147196,0.43855882,0.42590746,0.41220495,0.40172148,0.39453062,0.38932157,0.38790438,0.39096913,0.39622426,0.40357542,0.41466495,0.4281111,0.43613604,0.4330939,0.42599478,0.42614087,0.43797895,0.4500737,0.4531592,0.4464176,0.43796313,0.4298856,0.41913375,0.40460595,0.38989565,0.37861922,0.36685243,0.34958005,0.32478008,0.29706514,0.27076325,0.24827631,0.22899306,0.21209574,0.19817555,0.19292419,0.20740186,0.2507554,0.3169333,0.38274243,0.42104325,0.42326364,0.4018052,0.37856355,0.36435816,0.35799944,0.35166517,0.34238985,0.33381248,0.33533493,0.3558596,0.39352274,0.43288302,0.45113146,0.43952325,0.4077455,0.37652838,0.35541746,0.34234497,0.33097586,0.32207426,0.3193731,0.32580793,0.34251037,0.37000737,0.4036472,0.4317359,0.44181085,0.43315598,0.41667628,0.40606466,0.4051441,0.40960327,0.41263404,0.41186354,0.41068307,0.4155794,0.43321452,0.45941472,0.48186645,0.4844265,0.4686078,0.4479471,0.43700027,0.43138802,0.41770408,0.3911072,0.3620069,0.34582272,0.3467621,0.3605568,0.37815955,0.39392725,0.403016,0.40498444,0.4021196,0.39928862,0.39907697,0.4013258,0.40463474,0.4082993,0.41268286,0.4173242,0.421106,0.42262235,0.4220078,0.4212403,0.42441443,0.43554747,0.4547039,0.47319996,0.4778448,0.45999464,0.426342,0.392593,0.3728089,0.36800528,0.37162495,0.37632692,0.37969026,0.3831081,0.39024428,0.40673685,0.4319922,0.45768276,0.46732652,0.45560145,0.42941907,0.40600124,0.39229345,0.38681403,0.3829776,0.37967548,0.37897217,0.384753,0.40052143,0.4254847,0.45028797,0.45873702,0.44051102,0.4017044,0.36101592,0.33507767,0.32728532,0.33145285,0.3397934,0.34843242,0.35713425,0.36866316,0.38775435,0.4131094,0.4367634,0.4462521,0.4422525,0.43387505,0.4318032,0.43083802,0.42149818,0.40060005,0.37818095,0.36533797,0.36500537,0.3731773,0.3838193,0.39311144,0.39952096,0.40654024,0.42112073,0.44409767,0.46553865,0.46753618,0.44419518,0.40422425,0.3666985,0.34164038,0.3296807,0.32604256,0.32886782,0.3385544,0.35533178,0.37929967,0.4079909,0.4347701,0.44820848,0.44097504,0.4163127,0.38676035,0.36376584,0.35109988,0.34681728,0.34850526,0.35575294,0.37004808,0.39332262,0.4270257,0.46466628,0.4938647,0.49980345,0.482674,0.45319808,0.42738608,0.4089369,0.39608788,0.38549483,0.37973276,0.3815907,0.3927325,0.41295627,0.43814588,0.45882615,0.46196923,0.44312942,0.41128352,0.38479516,0.3758084,0.38358295,0.397771,0.40895197,0.41401294,0.41491446,0.4148972,0.41537654,0.41661343,0.41928455,0.42667115,0.44285616,0.46721673,0.49047053,0.49851462,0.4843725,0.4553986,0.42782298,0.41367838,0.41314068,0.418977,0.42303106,0.4209524,0.4109869,0.395649,0.37995598,0.37036493,0.36943838,0.37568223,0.38441655,0.39191556,0.39675596,0.3999397,0.40327048,0.40743032,0.41195214,0.41661012,0.42409238,0.43847904,0.45950186,0.47793666,0.47958302,0.45770094,0.42041183,0.38544476,0.36730957,0.37002096,0.39041117,0.4202602,0.44770536,0.45766962,0.4430125,0.41034678,0.3772856,0.35887042,0.36028525,0.37893733,0.40710166,0.4336498,0.44482768,0.4342378,0.40775266,0.37988594,0.3627361,0.36059165,0.3738408,0.39787257,0.4217591,0.4279361,0.40709135,0.36681494,0.3276601,0.30710113,0.3109409,0.33707035,0.37744176,0.4181244,0.4399964,0.43293074,0.40363145,0.3703626,0.3461758,0.33251083,0.3265121,0.32674363,0.33406034,0.3473567,0.36813354,0.39828977,0.43334696,0.45801568,0.45615318,0.43047002,0.40005222,0.38579366,0.3907963,0.40817514,0.43149063,0.45698717,0.4767214,0.4774569,0.45733032,0.42653525,0.40186858,0.38867155,0.38671502,0.39566863,0.41543356,0.43947354,0.45411715,0.4567788,0.45490408,0.45974076,0.46599564,0.46230647,0.44258186,0.4157,0.3938655,0.38256168,0.3791934,0.37849912,0.37728536,0.37700346,0.3833847,0.40312743,0.4311777,0.45191976,0.44625401,0.41561982,0.37534,0.3457274,0.3292317,0.3217048,0.31755686,0.31846532,0.324993,0.3365713,0.3553196,0.3826679,0.41584516,0.44092727,0.44835663,0.43835124,0.42478713,0.4175141,0.4167243,0.41237685,0.39587238,0.36691788,0.3368851,0.3229693,0.3373309,0.372548,0.40651464,0.41698074,0.40738726,0.39396915,0.38982806,0.38146916,0.3542559,0.3065665,0.2580893,0.22396934,0.20826675,0.20817925,0.2230495,0.2499864,0.27621087,0.28737667,0.27780536,0.25725165,0.23902957,0.23162116,0.2337321,0.23954211,0.24220075,0.2376629,0.22681634,0.21616767,0.21366827,0.22483154,0.25088,0.29298183,0.347674,0.4048938,0.4450668,0.4560697,0.439942,0.41384444,0.39194655,0.37977841,0.37461677,0.3731276,0.3730639,0.37518406,0.38435605,0.4066585,0.43878698,0.46600237,0.47023118,0.4500772,0.41860828,0.3937702,0.37878892,0.36876532,0.3562691,0.3414061,0.32725015,0.3196994,0.32584417,0.34754506,0.37700316,0.3950548,0.3891956,0.36039534,0.325251,0.29791757,0.28439215,0.2807422,0.28111908,0.2817237,0.28427896,0.29692808,0.32775185,0.3740972,0.4191784,0.44409195,0.44691274,0.4402006,0.43636182,0.4292678,0.40789545,0.36931852,0.32819664,0.3001134,0.2924035,0.30138555,0.31919327,0.3385364,0.35476395,0.3697172,0.38883975,0.41377175,0.4357252,0.43951002,0.41892028,0.38118532,0.34298968,0.3139958,0.2946144,0.2780414,0.25984412,0.2416268,0.23236828,0.24560307,0.28720942,0.34705243,0.398312,0.41934264,0.4076942,0.3806069,0.35360762,0.32929456,0.29943797,0.25845262,0.20890264,0.16081607,0.12549646,0.11133742,0.11792993,0.13619988,0.15348338,0.16424699,0.17239301,0.18553483,0.20453143,0.22363244,0.23610751,0.24060671,0.2415793,0.24628301,0.2650499,0.30090472,0.34816775,0.38684416,0.4045041,0.39981174,0.38737276,0.3761762,0.36725387,0.3540084,0.33360147,0.30843028,0.28335992,0.2627456,0.24854802,0.24048759,0.23477972,0.22455959,0.20325941,0.16895497,0.12837155,0.09400884,0.07907178,0.08816976,0.11413014,0.14046003,0.15387015,0.15427762,0.15383607,0.16453673,0.18648009,0.21027023,0.22629751,0.23302351,0.23435085,0.23501062,0.23687224,0.23966725,0.24189484,0.24193673,0.23873033,0.2325388,0.22482258,0.22010876,0.22577775,0.2517699,0.29864964,0.35482693,0.39613152,0.40890396,0.39502546,0.37227857,0.3516318,0.33342406,0.31024715,0.28008372,0.24851201,0.22310577,0.20805186,0.20199841,0.2019615,0.20474535,0.20843357,0.21148051,0.21301264,0.21258013,0.21041124,0.20755039,0.2058364,0.20691943,0.21370544,0.23058724,0.2647906,0.31537345,0.37135032,0.41025627,0.42043003,0.40417424,0.37883362,0.35545108,0.33681154,0.31754944,0.2951051,0.2708351,0.2499764,0.23826401,0.23902027,0.25096568,0.26796758,0.28358507,0.29426548,0.3011979,0.30747986,0.31778416,0.33720425,0.36679927,0.3977908,0.41301462,0.4014652,0.37002364,0.33868733,0.32450423,0.3300754,0.35083637,0.37891445,0.4059209,0.41859803,0.40880942,0.38081744,0.34857726,0.32522687,0.31545395,0.32260907,0.34582338,0.3765091,0.39594516,0.39277637,0.37805197,0.37287652,0.38672504,0.40100685,0.39547658,0.3638655,0.32369915,0.2912829,0.27422416,0.26712182,0.26251924,0.2533885,0.23664224,0.21349292,0.18916608,0.1698853,0.16038771,0.16417325,0.18199486,0.21046136,0.23885305,0.25495532,0.25003317,0.22556686,0.18963455,0.15338574,0.12451785,0.10601199,0.096096106,0.09237387,0.09482172,0.106555425,0.12859291,0.15530157,0.17494595,0.17906247,0.17048454,0.16231729,0.16685241,0.18600865,0.21108569,0.23133107,0.24112876,0.24180043,0.23739232,0.23156857,0.22606598,0.22153185,0.21786083,0.21450947,0.21116126,0.20786214,0.20504121,0.20223552,0.19854087,0.19271441,0.18464662,0.17450748,0.16296594,0.15022786,0.13711934,0.12569284,0.12062434,0.1285057,0.15377016,0.19412452,0.23881857,0.27491963,0.2940565,0.2967647,0.28870842,0.2766826,0.2651453,0.25676683,0.2521263,0.25010267,0.2479841,0.24391921,0.2380604,0.23184413,0.224562,0.21283741,0.19356258,0.16810489,0.14226922,0.1220485,0.109760396,0.1034095,0.099689804,0.09614724,0.09236253,0.08877932,0.08614972,0.08463781,0.08409969,0.08390538,0.083407365,0.08205927,0.0798533,0.07717321,0.07454191,0.07226896,0.07037068,0.06867773,0.06690306,0.06478781,0.062184557,0.05923127,0.056374907,0.054308902,0.053853553,0.056553125,0.06547258,0.08532977,0.11906469,0.16432224,0.2119265,0.2517973,0.27809978,0.29210272,0.297219,0.29615915,0.2896036,0.279351,0.26869535,0.2610241,0.25662336,0.25229117,0.24394278,0.23036957,0.2137643,0.19707938,0.1805666,0.16256015,0.14275861,0.12532243,0.11646079,0.1197269,0.13261713,0.14890474,0.16295289,0.1726991,0.17899124,0.18415827,0.19074924,0.2005714,0.21333468,0.2262248,0.23546535,0.23821098,0.23338515,0.22108005,0.20316005,0.18431658,0.17160515,0.1703326,0.1797509,0.19247751,0.19906205,0.19357932,0.1764393,0.15302895,0.13026203,0.113161154,0.10332477,0.099255495,0.09828051,0.09804667,0.0975297,0.09661478,0.09580021,0.095359504,0.095277704,0.09509238,0.09442284,0.09316412,0.09155638,0.089844204,0.08809229,0.08637783,0.08495143,0.08404693,0.08366244,0.08423057,0.08810822,0.099387646,0.12137723,0.15286314,0.18813068,0.22010057,0.24461113,0.26063552,0.2684467,0.26746336,0.25728258,0.2394284,0.21860571,0.20086269,0.19080414,0.18836363,0.18899493,0.18571107,0.1748439,0.15879709,0.14658916,0.14693247,0.16271104,0.18758814,0.21127881,0.22554487,0.22848614,0.22223936,0.20921797,0.19089234,0.17050464,0.15605144,0.15631628,0.1740231,0.20051323,0.2222708,0.229692,0.22332878,0.20863242,0.19079947,0.17222701,0.1567092,0.15022509,0.15781797,0.178046,0.20187695,0.2183486,0.220918,0.2112103,0.19545989,0.1796974,0.16612343,0.15391509,0.14216952,0.1310771,0.1216625,0.114164144,0.108466186,0.10442763,0.102056466,0.1008962,0.09994186,0.09844166,0.096209474,0.093864314,0.092006475,0.091232605,0.09160865,0.093201734,0.09588996,0.09968117,0.10427702,0.1091626,0.113715045,0.11763441,0.12096062,0.123818986,0.12620057,0.12815277,0.13002063,0.13235259,0.13556911,0.13967994,0.14448291,0.14961202,0.15474965,0.15951778,0.16360222,0.16678762,0.16894965,0.17018263,0.17054671,0.17011733,0.16878329,0.16653527,0.16354205,0.16013704,0.15676151,0.15389925,0.15223356,0.15254872,0.1570075,0.1712326,0.20469959,0.26405242,0.34224868,0.416338,0.45980892,0.4631245,0.43764916,0.40513706,0.37880006,0.36082777,0.34644076,0.33347404,0.32267687,0.31715146,0.31713614,0.31999078,0.32047454,0.31741276,0.31275868,0.31107542,0.31150097,0.31184104,0.3091371,0.3069973,0.3086636,0.31622037,0.3252895,0.33174658,0.33298102,0.33054504,0.32649985,0.32200208,0.3171644,0.31191778,0.30706623,0.303272,0.30069402,0.298926,0.29790238,0.29830408,0.30045962,0.30349532,0.30698332,0.3120463,0.32231042,0.3385471,0.35775208,0.37258455,0.3778342,0.3729197,0.3615636,0.3487761,0.3367382,0.326004,0.31554022,0.30622444,0.29948863,0.29615125,0.29422843,0.29063895,0.28425735,0.27821693,0.27556196,0.27716944,0.27910474,0.28029755,0.28086105,0.2834793,0.2860085,0.2864919,0.28424403,0.2855957,0.2998493,0.3343923,0.3845717,0.43335748,0.46033463,0.45845374,0.43664142,0.41005826,0.38651586,0.3658624,0.3470627,0.33051312,0.316365,0.30085465,0.28208908,0.26193175,0.24699445,0.24123968,0.24409454,0.25011185,0.25440338,0.25469306,0.25232667,0.249075,0.24559534,0.24163796,0.2411567,0.25397658,0.28998867,0.3454528,0.39967057,0.42726958,0.41975912,0.38969943,0.3587239,0.33935556,0.33244154,0.3323909,0.33478037,0.33706352,0.33881986,0.34026706,0.34169006,0.34209326,0.34040058,0.33675408,0.33257255,0.3289066,0.32523242,0.32117495,0.31763446,0.31686077,0.3201251,0.32751992,0.33861148,0.35268202,0.36731198,0.3797467,0.38956594,0.4019656,0.41789916,0.43070307,0.42266962,0.38659003,0.32873854,0.27050164,0.2254024,0.1960777,0.17438377,0.15434714,0.13728634,0.13420223,0.16086276,0.22518432,0.31425837,0.39618078,0.43972766,0.43809652,0.40961328,0.38132927,0.36721718,0.36640558,0.37013033,0.37277094,0.37470075,0.38153648,0.40013897,0.42943034,0.45880184,0.4706447,0.45828807,0.42777112,0.39582226,0.37159133,0.35757864,0.35028008,0.34914827,0.35325935,0.3633828,0.38118556,0.40838072,0.43930638,0.46008468,0.457919,0.43422088,0.40392068,0.38347456,0.3771801,0.3790424,0.3801745,0.37810174,0.37639585,0.38201103,0.40016055,0.42744792,0.4534515,0.46469638,0.46123227,0.45183405,0.44794977,0.44565597,0.43577805,0.4125012,0.38394785,0.36127257,0.35140273,0.35266507,0.36012074,0.3679004,0.37180915,0.3695219,0.3623344,0.3532845,0.34624252,0.3431486,0.3448571,0.34987846,0.35559848,0.35889983,0.3588694,0.3576506,0.35840786,0.36354873,0.37434912,0.39278713,0.41835597,0.44459748,0.45948985,0.45515522,0.4346055,0.40894404,0.38779745,0.37435904,0.3691155,0.37194148,0.3820918,0.39669847,0.41444886,0.43771747,0.46520662,0.48869443,0.4930699,0.4756268,0.4453937,0.42046311,0.40658346,0.40179563,0.39913836,0.3984653,0.40134355,0.41108623,0.42922935,0.45459294,0.47847208,0.48927715,0.48245725,0.46875545,0.4611174,0.46232125,0.459468,0.4442489,0.41852427,0.39386916,0.37511948,0.36275855,0.3547813,0.3515233,0.3526918,0.35917184,0.37485728,0.4008495,0.4285953,0.44205597,0.43459955,0.41914615,0.41365573,0.4222332,0.42725345,0.41545475,0.38794556,0.36208168,0.3468372,0.3427513,0.34277388,0.34393927,0.34384513,0.3409839,0.33330992,0.3202852,0.30243054,0.28124726,0.25947404,0.2398898,0.2238909,0.21297504,0.21270888,0.2344684,0.2846708,0.35449645,0.41782284,0.451375,0.45094562,0.43266985,0.41429266,0.4013196,0.3892716,0.3742822,0.35996076,0.35459164,0.3657955,0.3955659,0.4342303,0.46399155,0.46721974,0.44491264,0.41301835,0.3921088,0.38660026,0.39009348,0.39362183,0.39634156,0.40090033,0.40957353,0.424356,0.44390157,0.46260524,0.46796235,0.45479587,0.42956483,0.4090037,0.40218094,0.40622947,0.411701,0.41410804,0.4158634,0.4217596,0.43503952,0.45612,0.47928008,0.49493638,0.4935975,0.4797878,0.46408117,0.45543727,0.44593108,0.426988,0.39860857,0.37421584,0.36360446,0.36566404,0.37315023,0.38089594,0.38895229,0.3964269,0.40230027,0.4054446,0.40762028,0.41013858,0.4131858,0.4160341,0.41888514,0.42288527,0.42837802,0.43430457,0.43874478,0.44065168,0.44167164,0.44610906,0.45951763,0.48122814,0.50237125,0.5082037,0.49240258,0.46111035,0.42900288,0.40605366,0.39392993,0.38968217,0.3905046,0.3951173,0.40349331,0.41745272,0.4390749,0.46367288,0.48042706,0.47693285,0.45453265,0.42434713,0.4016876,0.3895955,0.38492444,0.38146996,0.3790498,0.37934825,0.38634682,0.40446424,0.433731,0.46558103,0.48267558,0.47444502,0.44402638,0.40789852,0.37963513,0.36431798,0.35867545,0.35849226,0.36079285,0.36659554,0.3801916,0.40629056,0.44023418,0.46932662,0.4801719,0.4758222,0.46772143,0.46551475,0.46095452,0.4441242,0.4133143,0.38207495,0.3628573,0.35965022,0.36787748,0.38089636,0.39389172,0.40429357,0.41501972,0.43104127,0.45220354,0.46804643,0.46455327,0.43933007,0.40362766,0.3742734,0.35862783,0.35493878,0.35747615,0.36253867,0.36948588,0.3790259,0.39543653,0.41819224,0.44130623,0.44937742,0.43586627,0.40566707,0.3766915,0.36048028,0.35946313,0.36748064,0.37957057,0.39336124,0.40959072,0.43073532,0.458236,0.48584569,0.5007523,0.49152255,0.4632244,0.4322773,0.4157091,0.41420817,0.419289,0.42086247,0.41726756,0.41208544,0.4121964,0.4248086,0.45023307,0.47864547,0.49137548,0.47870407,0.44670045,0.41470292,0.39650849,0.39345932,0.39702585,0.39960608,0.39882442,0.39635572,0.39433643,0.3934655,0.39376903,0.39686516,0.40647483,0.42670354,0.45480683,0.48094225,0.49063197,0.47958276,0.45478395,0.43215466,0.4206823,0.42081466,0.42580032,0.43030265,0.43140197,0.4287554,0.42306602,0.4161267,0.40968046,0.40486333,0.40157965,0.40008506,0.40108934,0.40590695,0.41446912,0.42485237,0.433769,0.4381614,0.43880546,0.44045568,0.4517083,0.4735326,0.4972745,0.50411177,0.48553932,0.44721207,0.40864536,0.38483655,0.3824923,0.4010116,0.43333614,0.46684828,0.48274627,0.4730648,0.44298252,0.4105452,0.38934758,0.38611886,0.4018081,0.43157887,0.46441865,0.48202828,0.47604373,0.4499677,0.4196206,0.39630806,0.38713923,0.39484635,0.4162937,0.43903288,0.44268754,0.41974112,0.3797861,0.3462961,0.33494258,0.3503685,0.38865733,0.43796232,0.480538,0.49444762,0.4764229,0.43929234,0.40596357,0.3826706,0.3640825,0.34122714,0.31591785,0.29518119,0.28463328,0.2837763,0.28707242,0.2860122,0.27372238,0.25043547,0.22701474,0.21665305,0.22549276,0.24590008,0.26544952,0.275358,0.276572,0.2743018,0.2739089,0.27744713,0.28445232,0.29069552,0.289266,0.27398375,0.24598755,0.21548925,0.19588967,0.19492914,0.20991522,0.2323767,0.2531769,0.2665015,0.2680694,0.25632942,0.2328822,0.20375526,0.17569833,0.15386797,0.13966848,0.13232695,0.1290528,0.12672898,0.122797824,0.11689965,0.1105765,0.10606772,0.10508758,0.107510835,0.111662365,0.11439147,0.11381939,0.109704055,0.10410014,0.09909666,0.09684055,0.09889107,0.105802365,0.1160763,0.12614608,0.13304622,0.13574658,0.13572319,0.13440225,0.13275665,0.13099416,0.12954527,0.12852724,0.12751377,0.12598445,0.12379549,0.121290326,0.118886344,0.11800343,0.122245006,0.13558906,0.15895768,0.18670505,0.2102657,0.22287191,0.2244675,0.21933578,0.21286441,0.207848,0.20463288,0.20237036,0.20043391,0.19874613,0.19715823,0.19536243,0.1931607,0.19117856,0.19053243,0.1919085,0.19438757,0.19557078,0.19274779,0.18448488,0.17127167,0.15538825,0.14020525,0.12945299,0.12552725,0.1282701,0.13441403,0.13996594,0.1422389,0.14132302,0.13893475,0.13781641,0.14139412,0.15303002,0.17381978,0.20006144,0.22418058,0.23874362,0.24125771,0.2350467,0.22595304,0.2181015,0.21202028,0.206201,0.1991777,0.19047588,0.18003546,0.16755591,0.15329789,0.13906145,0.12887962,0.1266131,0.13349903,0.14626306,0.15978847,0.16983615,0.17533845,0.17705852,0.17669553,0.17639257,0.17855342,0.18471293,0.1932714,0.19971116,0.19863647,0.18787129,0.17007188,0.15120366,0.13685894,0.12913156,0.12663062,0.12572195,0.12303182,0.11663618,0.10712472,0.096859366,0.08863634,0.08390943,0.0819041,0.08039923,0.07712938,0.07166039,0.065120436,0.059313748,0.055981237,0.05792755,0.070704035,0.09950769,0.14481951,0.19738,0.24353401,0.27171123,0.27982268,0.27234307,0.2564951,0.23737554,0.21783966,0.19871776,0.18003316,0.16207765,0.14601098,0.13351597,0.12544718,0.12143579,0.12029921,0.12082633,0.122004665,0.123266585,0.12497494,0.12830567,0.13359167,0.13957448,0.1447428,0.1505042,0.16105747,0.17957622,0.20468003,0.23040028,0.2504203,0.260313,0.2592915,0.24893887,0.23319483,0.21611767,0.20131464,0.19107316,0.18733238,0.19069976,0.20002668,0.21195853,0.22298555,0.23062913,0.23416263,0.23354836,0.2289154,0.22018838,0.20729817,0.19070095,0.17157908,0.15215646,0.13475682,0.12109113,0.11150444,0.10552731,0.10240338,0.10113463,0.10058024,0.100504555,0.103017606,0.11171582,0.12839015,0.14961651,0.16829152,0.17767595,0.17665833,0.16760653,0.15441109,0.13926427,0.12706853,0.12566447,0.1423496,0.17610209,0.21559434,0.2471941,0.26298407,0.26443923,0.25607464,0.24156141,0.22232606,0.20091546,0.18101203,0.16591169,0.15615153,0.15031637,0.14726919,0.14850946,0.15770209,0.17749028,0.20580854,0.2353502,0.2575426,0.26700675,0.2632353,0.24824913,0.22513942,0.19736703,0.16954796,0.14552574,0.1273522,0.114316694,0.10445448,0.09574927,0.087807365,0.0830873,0.08631527,0.101514615,0.1279881,0.1595508,0.18801033,0.20734747,0.2156682,0.21347612,0.2034536,0.18942946,0.17608286,0.16542476,0.1564312,0.1465623,0.1351897,0.12401736,0.114910156,0.108514406,0.10414956,0.101249225,0.09908867,0.096871965,0.0937592,0.08969628,0.085427545,0.08217913,0.08115571,0.08293449,0.0863429,0.08854401,0.086469434,0.07970811,0.07047216,0.06237859,0.058249604,0.061089203,0.074014805,0.09857753,0.13120653,0.16339706,0.18651491,0.19742303,0.19956876,0.19881122,0.19854645,0.19812743,0.19460292,0.18575387,0.17150474,0.15434416,0.13764773,0.12439533,0.1156994,0.111290105,0.110150576,0.111220986,0.11329058,0.11481211,0.11447493,0.11167944,0.10736682,0.10359973,0.10324537,0.107708044,0.11563253,0.12244445,0.123811744,0.118586086,0.10967142,0.10128194,0.096784204,0.09881579,0.109616555,0.12980215,0.15571469,0.18038888,0.19734825,0.20526145,0.20738344,0.20841698,0.2103884,0.21309961,0.21510595,0.21576917,0.2141511,0.2094006,0.20011711,0.18631148,0.16869892,0.14964592,0.13094564,0.11479881,0.102,0.09319281,0.08745831,0.08374893,0.08097249,0.079357065,0.08005103,0.08379963,0.08931967,0.09315602,0.092220016,0.086624555,0.08038651,0.07868716,0.084236644,0.09587946,0.11056036,0.12630992,0.14276843,0.15906794,0.17207535,0.17818831,0.17659254,0.1707437,0.16645263,0.16912703,0.18145935,0.20232971,0.2269228,0.2492693,0.26498273,0.27242592,0.2709314,0.2600916,0.24017964,0.21393716,0.18550728,0.15983802,0.14149886,0.13508783,0.14262606,0.16146119,0.18415637,0.20282698,0.21357326,0.21746482,0.218117,0.21860068,0.22011603,0.22236891,0.22444373,0.22567339,0.22548203,0.22328244,0.21836503,0.21073568,0.20121942,0.19109531,0.18067764,0.17048748,0.16176568,0.15863891,0.16423869,0.17953515,0.19963326,0.21846758,0.23036902,0.23434062,0.2312358,0.22353213,0.21298243,0.20197384,0.19173606,0.1826954,0.17408516,0.16734041,0.16611947,0.17462732,0.19261481,0.21476054,0.23351274,0.24413556,0.24616273,0.24133013,0.23070784,0.2139452,0.19190337,0.16908528,0.15418789,0.15515192,0.17343645,0.20000486,0.21955836,0.21887547,0.19594471,0.16110888,0.13187817,0.12274206,0.13851084,0.17189676,0.20864917,0.2352538,0.24620831,0.24456052,0.23767267,0.2312733,0.22804582,0.22777085,0.23045488,0.23613292,0.24644071,0.26185182,0.28175595,0.3025737,0.32039392,0.3315113,0.33393896,0.32598794,0.30666706,0.27623722,0.2380615,0.1986083,0.16629587,0.14913145,0.1521167,0.1747187,0.20956075,0.2448477,0.26975477,0.28016993,0.28002468,0.278427,0.28397557,0.3012965,0.32847795,0.35937682,0.38427207,0.39554563,0.38811943,0.36388376,0.3280195,0.28862557,0.25082383,0.21705824,0.18705082,0.16124497,0.14114767,0.12784486,0.12046876,0.116262354,0.11291814,0.10950222,0.1063866,0.10387116,0.10168394,0.09921006,0.09599325,0.092043996,0.08750903,0.082520515,0.077061616,0.07127926,0.06543202,0.059872087,0.054818496,0.05055994,0.047955945,0.048980344,0.056630317,0.07270318,0.0954526,0.11863881,0.13599055,0.14606169,0.15447383,0.16744721,0.18506837,0.19898097,0.20144112,0.1940636,0.1896012,0.20100532,0.23062594,0.26779124,0.29789218,0.312574,0.3132507,0.30613652,0.29555568,0.28069863,0.25876072,0.22852252,0.19291107,0.15602243,0.12181952,0.09312352,0.074326985,0.071261264,0.08778673,0.12140425,0.1615837,0.19656937,0.21945046,0.2321424,0.23990689,0.24643707,0.25009444,0.24627143,0.23140965,0.20779902,0.18425043,0.17207353,0.17708196,0.19522834,0.21432753,0.22233258,0.21368633,0.19082607,0.16025306,0.12864022,0.101075314,0.08072268,0.06870476,0.06378541,0.06347252,0.0660095,0.07271061,0.08760595,0.114382744,0.15168017,0.19271581,0.22916575,0.25722715,0.27820233,0.29526094,0.30905107,0.31816196,0.32097614,0.3184609,0.31345785,0.3109566,0.31337288,0.31940785,0.32134888,0.31333315,0.2945685,0.27240983,0.253491,0.2396133,0.22666924,0.21076435,0.19232492,0.17593138,0.16743942,0.17082268,0.18646628,0.21069914,0.23610933,0.25519258,0.2632017,0.26012814,0.24790472,0.22786753,0.20073235,0.16895206,0.13958512,0.12216675,0.12510215,0.14954013,0.18809102,0.2274053,0.2557752,0.2682967,0.2667474,0.25476608,0.23555106,0.21395648,0.19901454,0.200393,0.22041173,0.25047964,0.27602255,0.28718886,0.28349623,0.27176043,0.25833532,0.24584104,0.2329778,0.21807873,0.20063965,0.18189578,0.16355471,0.14674322,0.13162449,0.11796391,0.1060249,0.09648577,0.08977879,0.08548046,0.08266926,0.08055315,0.07872293,0.07690763,0.07479099,0.07213818,0.06893224,0.06530407,0.0613891,0.05736916,0.05353171,0.0501845,0.0473944,0.0449525,0.042530835,0.03996721,0.037295397,0.034669712,0.03219254,0.029880926,0.027667172,0.02546998,0.023243355,0.021013938,0.018867606,0.01688338,0.015080508,0.013412005,0.01183303,0.010343685,0.00898569,0.0077884793,0.006744402,0.0058200676,0.004984835,0.0042203437,0.0035163888,0.0028681532,0.0022824875,0.0017747679,0.0013585029,0.0010313354,0.00077921554,0.0005861269,0.00044251388,0.0003412667,0.00027326852,0.00022848399,0.00020062947,0.0001891153]