[0.10000719,0.109449744,0.12693742,0.14280224,0.15140231,0.1538579,0.1543703,0.15600984,0.15915042,0.16260888,0.16504218,0.16570331,0.16482516,0.16326398,0.16182613,0.1604717,0.15857978,0.15568791,0.152048,0.14826667,0.14472337,0.14145814,0.13853581,0.13653588,0.13659449,0.13997363,0.14708155,0.15663181,0.16593319,0.1723928,0.17532523,0.17620927,0.17740107,0.18024744,0.18450618,0.18915556,0.19374943,0.19861622,0.20408367,0.2093802,0.21307598,0.21406297,0.21268713,0.21019243,0.20778035,0.20576847,0.20378469,0.20148213,0.19881123,0.19613402,0.1937831,0.1918466,0.1894636,0.18471982,0.17556381,0.16163094,0.14499176,0.12881005,0.115573324,0.10694302,0.104992755,0.111936234,0.12801994,0.1495722,0.17032069,0.18448229,0.18919702,0.18425961,0.17074776,0.15037763,0.12628502,0.10378885,0.08957255,0.08823288,0.09930909,0.116572954,0.13222606,0.1410442,0.14281027,0.1401392,0.13585554,0.1309301,0.12499261,0.11778215,0.11098477,0.107731365,0.110455655,0.117835164,0.12562461,0.1293207,0.12770396,0.12222779,0.11534443,0.10847538,0.10242208,0.0979172,0.09585693,0.09650705,0.09868882,0.09976005,0.096508056,0.08695886,0.07160554,0.053627465,0.03714463,0.025726458,0.021618629,0.026734008,0.041986268,0.06585651,0.09280168,0.115824856,0.13055612,0.13769789,0.1411081,0.14378187,0.14625879,0.14727207,0.14643823,0.14495169,0.14477505,0.14613067,0.14629579,0.14149345,0.13033505,0.11640591,0.106165834,0.104536444,0.110860646,0.119707204,0.12566482,0.12760723,0.12886931,0.13273583,0.13940383,0.14614086,0.15041275,0.1513219,0.14893728,0.1432687,0.13445191,0.123846225,0.11420706,0.10846881,0.10829436,0.11323606,0.121147454,0.12871401,0.1324255,0.12981,0.120485894,0.10619838,0.090110086,0.076377146,0.06978195,0.073667996,0.087499626,0.10561162,0.12060515,0.12735145,0.1262348,0.12137165,0.11757804,0.11708888,0.119500466,0.12299917,0.12591733,0.12687142,0.12536435,0.12202021,0.119026996,0.11815512,0.11950952,0.12109231,0.12094727,0.11853669,0.115164705,0.11282471,0.113461025,0.11774543,0.12467293,0.13136403,0.13509597,0.1346649,0.1311664,0.12638722,0.12194359,0.11867217,0.11727407,0.118202426,0.12162393,0.12699433,0.13323832,0.1391089,0.14340168,0.14513536,0.14331196,0.13773963,0.12928486,0.12044718,0.114154376,0.11297976,0.11765567,0.12682225,0.13692117,0.14381623,0.14454181,0.1388029,0.12851124,0.1164569,0.104790844,0.09482566,0.08758161,0.08496193,0.08901911,0.100456774,0.11635915,0.13158791,0.141212,0.14368631,0.14028214,0.13374059,0.1264567,0.1207938,0.11932429,0.12466746,0.13746972,0.15527809,0.17272723,0.18468828,0.18836604,0.18427241,0.17465307,0.16241872,0.150236,0.1402989,0.1340581,0.13226743,0.13488623,0.14106055,0.1485033,0.15419017,0.1549174,0.14940472,0.13826662,0.12401855,0.10913064,0.09601059,0.08712477,0.0853617,0.09240589,0.10653949,0.12276796,0.13563007,0.14277466,0.14505424,0.14400084,0.1392766,0.12973374,0.11597035,0.102633305,0.09635451,0.102702804,0.12123362,0.14575933,0.16617346,0.1752109,0.17100276,0.1578868,0.1416412,0.12673388,0.11463356,0.10618805,0.102395564,0.104562975,0.11165479,0.12060658,0.1275276,0.13093288,0.1315776,0.13114673,0.13028772,0.12919094,0.12896599,0.13180852,0.13938157,0.15087895,0.16322887,0.17279387,0.17739962,0.1774581,0.17504255,0.17271149,0.17117219,0.17007981,0.16845024,0.16663654,0.16519682,0.16447009,0.1635521,0.16120033,0.1564321,0.14922728,0.14027703,0.13060747,0.12117978,0.11301451,0.10751874,0.1062246,0.10962654,0.116063066,0.12191192,0.12387834,0.12075972,0.11406311,0.1059866,0.09816814,0.09089392,0.08433273,0.07931653,0.07770551,0.08086533,0.088260986,0.096984185,0.103760384,0.10671411,0.10615232,0.103245296,0.09925983,0.09533853,0.09303848,0.0940069,0.0989818,0.10697385,0.11542905,0.121583246,0.123182066,0.11890506,0.10831043,0.09267294,0.07500429,0.05898026,0.04720068,0.040608224,0.03902323,0.04158503,0.046557635,0.05148919,0.054240752,0.054054707,0.0515911,0.04803353,0.04443127,0.041936707,0.042311747,0.04798792,0.06025998,0.0778108,0.09605401,0.11004012,0.11691126,0.117384695,0.11375818,0.108165264,0.10153071,0.094431154,0.08803437,0.0846157,0.08624046,0.093208395,0.10279956,0.111245535,0.11566305,0.11589972,0.113149464,0.109165855,0.10537088,0.10354339,0.105188996,0.11073194,0.11859726,0.1265046,0.13350117,0.14127608,0.15237343,0.16759236,0.1844768,0.19934262,0.209794,0.21625012,0.22065164,0.22417474,0.22577624,0.22222964,0.2116,0.19540448,0.17933588,0.16733436,0.1587378,0.14842509,0.13454957,0.12138524,0.11770979,0.12884603,0.15295516,0.18183826,0.20727752,0.2247789,0.23362653,0.23234214,0.21800214,0.18952031,0.153477,0.12311893,0.11149626,0.12265217,0.14965123,0.17935091,0.20070374,0.20929055,0.20737523,0.1992292,0.18783765,0.17348139,0.15718903,0.14322215,0.13873231,0.14856584,0.17070091,0.19694515,0.21788812,0.22835404,0.22833467,0.22154987,0.21278924,0.20644593,0.2048477,0.2076853,0.21232516,0.21600932,0.217134,0.21555261,0.21103461,0.20262925,0.1894939,0.17258406,0.15559378,0.1434797,0.14052385,0.14874049,0.16648889,0.18888058,0.2082162,0.21924417,0.22053961,0.21599716,0.20955046,0.20407718,0.19968982,0.19625913,0.19341476,0.1913755,0.19036074,0.19068824,0.19221051,0.19426686,0.19599219,0.19703823,0.19741066,0.19684003,0.19453317,0.19008821,0.18528587,0.18312792,0.18629116,0.19328529,0.19994931,0.20180494,0.19863228,0.19416638,0.1925426,0.19496705,0.19834442,0.19939072,0.19704117,0.19465135,0.19658001,0.20524997,0.21854949,0.23171742,0.24072248,0.24474657,0.24557815,0.24482794,0.24266158,0.23842822,0.23271559,0.22717829,0.22313577,0.21975714,0.21485497,0.20667772,0.19603427,0.18583006,0.1793763,0.1777528,0.17954274,0.18235366,0.18504316,0.18801026,0.19157644,0.19503719,0.19693863,0.19671173,0.19459878,0.19100125,0.18510216,0.17553651,0.16181764,0.14622487,0.13309784,0.12634312,0.12633713,0.12974668,0.13155276,0.12802117,0.11785095,0.10233597,0.08435428,0.067415446,0.05434607,0.047039267,0.046705853,0.053589735,0.06603002,0.07967705,0.08966754,0.09303991,0.09053654,0.08477063,0.07828161,0.07219138,0.06715987,0.06456307,0.06657673,0.07438815,0.08617265,0.097255625,0.10340231,0.10420567,0.1037803,0.106850065,0.11470995,0.12343065,0.12829079,0.12805428,0.12773973,0.13309985,0.14631741,0.16262768,0.17570527,0.18137771,0.18054743,0.17629778,0.17160958,0.16814275,0.16655451,0.16725802,0.16995215,0.17384656,0.17733252,0.17857265,0.1758979,0.16895898,0.1599878,0.15297271,0.15145442,0.15504317,0.16030626,0.16318583,0.162679,0.1601397,0.15763886,0.1559931,0.15512381,0.15460838,0.15408374,0.15309162,0.15128233,0.14884086,0.14696236,0.1472643,0.1506414,0.15567552,0.1592458,0.15798862,0.15096343,0.13943519,0.12613581,0.112881996,0.10073236,0.0901859,0.082718946,0.079939574,0.082258604,0.087188624,0.090579994,0.08929428,0.08317465,0.07432849,0.06494645,0.05642164,0.049985293,0.047900837,0.05288471,0.066009454,0.08500866,0.104850985,0.12067747,0.12948735,0.13016258,0.122380555,0.10738674,0.08878403,0.071515694,0.05909981,0.051828813,0.0477598,0.04478694,0.04223053,0.041309197,0.04517399,0.05768332,0.08106541,0.113200285,0.14774376,0.17687769,0.19539751,0.20285638,0.20250851,0.19884862,0.19451906,0.19017005,0.18495761,0.17877907,0.172305,0.16692984,0.1635548,0.16255312,0.16364177,0.16601694,0.16820656,0.16803427,0.16371827,0.15531944,0.14586183,0.14017475,0.14175057,0.15070261,0.16330178,0.17532767,0.18357362,0.18728243,0.18640262,0.18160553,0.17411828,0.1659693,0.15935226,0.15505177,0.15205842,0.14742844,0.13910018,0.12812439,0.119748436,0.11924275,0.1275801,0.13987887,0.14983903,0.15388803,0.15264207,0.14821298,0.1424108,0.13604063,0.12997338,0.1256261,0.12508588,0.12978451,0.13902824,0.14937486,0.1567045,0.1587476,0.15646146,0.15232493,0.1483619,0.14507437,0.1424435,0.14086129,0.14118312,0.1438243,0.14799464,0.15213352,0.15471931,0.1553139,0.15443377,0.15331697,0.15308712,0.15433814,0.15664567,0.15863942,0.15870352,0.15596698,0.15102959,0.14541565,0.1406423,0.1372719,0.13516898,0.1339308,0.13334991,0.13333789,0.13381635,0.13506079,0.13750616,0.14177348,0.14756589,0.15405726,0.1599651,0.16469757,0.16791159,0.16918166,0.16768134,0.16296034,0.1558476,0.14835598,0.14265193,0.13984309,0.13962676,0.14108805,0.14342545,0.1463155,0.14915495,0.15071698,0.14963345,0.14564039,0.14042206,0.13650817,0.13556737,0.13694935,0.13859345,0.13870949,0.13715349,0.13502222,0.13356726,0.13335322,0.1343608,0.13621636,0.1385222,0.14083745,0.14305001,0.14556567,0.14983092,0.1582347,0.17347808,0.19619356,0.22343715,0.24865253,0.26573944,0.27190587,0.269424,0.2627015,0.2563553,0.25294244,0.25320032,0.25620237,0.2599523,0.26227948,0.26152396,0.257984,0.2563753,0.26609972,0.29994395,0.36011398,0.43277088,0.4864092,0.49872947,0.46866405,0.42053434,0.37848726,0.35463583,0.34549376,0.34336856,0.3422325,0.33953056,0.33572462,0.33242074,0.330941,0.33012697,0.32783595,0.32310617,0.3179755,0.31560564,0.3177978,0.3247484,0.3368287,0.35525933,0.37734416,0.3947419,0.3957491,0.37644765,0.34313872,0.3096025,0.2854582,0.27309334,0.268249,0.26606095,0.26329783,0.2591969,0.25371152,0.24673907,0.23763354,0.22636335,0.21606506,0.21366332,0.2284482,0.26136163,0.303509,0.33905685,0.36587608,0.39258564,0.42952535,0.46486732,0.47762403,0.4539392,0.40634593,0.35713205,0.32267585,0.3017889,0.2888827,0.28412685,0.2995567,0.34187582,0.4015808,0.44822142,0.45754936,0.4269316,0.37999305,0.34071028,0.32002112,0.3131424,0.31360447,0.319317,0.3325884,0.35175622,0.36921775,0.37232712,0.35531124,0.32196283,0.28607044,0.25849205,0.24330048,0.23609763,0.2319806,0.22877675,0.22758287,0.22910143,0.23174812,0.2332421,0.23330909,0.23431897,0.23899007,0.2473224,0.25673294,0.2649331,0.2756959,0.2995108,0.34694394,0.41324857,0.47446838,0.4990605,0.4752965,0.41889283,0.36180595,0.32489932,0.31017968,0.30619124,0.30332553,0.29874483,0.2960089,0.29882622,0.30765882,0.31780186,0.3236483,0.32195866,0.31446338,0.30421406,0.29299286,0.28164998,0.27406526,0.27970812,0.30471763,0.34445217,0.37903285,0.39033583,0.37262046,0.33868858,0.30441746,0.2801151,0.26470014,0.25314417,0.24075323,0.22871847,0.22142744,0.22361974,0.2338602,0.2467258,0.25619575,0.26135218,0.26429603,0.26739523,0.2706581,0.27598596,0.2894856,0.3221182,0.37608743,0.43832162,0.4798201,0.4798366,0.43893918,0.38009402,0.32642838,0.2885164,0.2648461,0.2546141,0.26440522,0.30256858,0.36357045,0.42245486,0.44552723,0.41854706,0.35566533,0.28937933,0.24196374,0.21731961,0.20777725,0.21050139,0.23075996,0.2726928,0.32876706,0.37817717,0.40122578,0.3918037,0.3614551,0.32722208,0.30129793,0.28597668,0.2784021,0.2752271,0.27591404,0.2815193,0.2924286,0.30602166,0.3178546,0.32395256,0.32344818,0.31769717,0.30834174,0.295687,0.28294376,0.27979243,0.30198064,0.35494208,0.42412856,0.47542095,0.4837561,0.44824722,0.39322755,0.34272972,0.30789056,0.28641903,0.27351448,0.26743713,0.26789674,0.27400562,0.28158557,0.28615585,0.28531817,0.28245494,0.28317797,0.2912318,0.30453083,0.31903875,0.33260262,0.3478043,0.3669422,0.38693377,0.3973728,0.3877597,0.35712585,0.3162575,0.28002962,0.25553063,0.23914205,0.22245754,0.20191307,0.18253468,0.17389047,0.18228108,0.20526229,0.23297876,0.2548198,0.26516488,0.26496083,0.25852117,0.25110117,0.24859758,0.25888085,0.2909627,0.3466474,0.41375634,0.4663259,0.48320797,0.4626908,0.42442012,0.39056107,0.37132427,0.36304414,0.35969523,0.36166045,0.3771536,0.41113582,0.45698118,0.49377155,0.50325114,0.48190913,0.44494525,0.4105643,0.3891081,0.37973714,0.3778788,0.3799505,0.38435718,0.38768426,0.38403332,0.36677682,0.33469513,0.29337117,0.25321975,0.2238226,0.21012907,0.21148324,0.2220328,0.23441209,0.24190754,0.24069776,0.22895463,0.20803173,0.18371628,0.16562293,0.16194135,0.17337604,0.192338,0.21074182,0.2290824,0.2587556,0.3092338,0.37418997,0.42907402,0.44982326,0.4316734,0.39107123,0.34950662,0.31864142,0.29932472,0.28855,0.28398845,0.28480595,0.2899778,0.2990296,0.30995616,0.32033968,0.32722953,0.32987317,0.32931998,0.3277632,0.32653415,0.3268452,0.33072972,0.3426378,0.36279503,0.3840923,0.38996074,0.3692124,0.3223595,0.26429918,0.20972688,0.16719782,0.13723098,0.118427,0.109698474,0.110103756,0.11817941,0.13088879,0.14454888,0.15497704,0.15999775,0.16069011,0.16265441,0.17416538,0.20189989,0.24852991,0.31160608,0.3861897,0.4606155,0.51841885,0.542219,0.5290811,0.49091724,0.4479561,0.4121703,0.38553527,0.3646237,0.35092953,0.35314658,0.37993225,0.42717734,0.47275767,0.4899179,0.4682949,0.4218059,0.3755981,0.34629858,0.3355811,0.33700857,0.345897,0.36204138,0.38398978,0.40413892,0.40855727,0.38787112,0.34512147,0.2962075,0.2588698,0.24297243,0.24774629,0.26520923,0.28583494,0.30195698,0.30972183,0.30881712,0.30172098,0.29280338,0.2863387,0.28469107,0.287143,0.29169372,0.2968811,0.30498868,0.322284,0.35830104,0.41404033,0.47634688,0.51762587,0.5192285,0.48244932,0.42971763,0.38174012,0.3479922,0.32580683,0.31149316,0.30378798,0.30321634,0.30897745,0.3182266,0.32739663,0.3336598,0.33620784,0.33573163,0.3337734,0.33128747,0.32942483,0.33061683,0.34004804,0.36051846,0.38706455,0.40485394,0.4003068,0.3718145,0.3321025,0.29678822,0.2736837,0.2610775,0.2538011,0.24904937,0.24736392,0.2502872,0.2574159,0.2653931,0.26985413,0.26964292,0.26849052,0.27371645,0.28922403,0.3122774,0.33507624,0.3539647,0.37497273,0.40530515,0.44206068,0.46517837,0.4566023,0.41445926,0.36000514,0.31719783,0.29827163,0.2987057,0.3103011,0.33115745,0.3665762,0.41500854,0.462077,0.48356533,0.46919194,0.42794847,0.3850287,0.35748747,0.34921125,0.3520653,0.35982803,0.37177697,0.39024523,0.41186842,0.4250313,0.41626295,0.3826171,0.3348244,0.2905146,0.26122418,0.2479121,0.24396224,0.24251778,0.24094035,0.23974542,0.23937635,0.23719162,0.2298317,0.21642174,0.2007184,0.18851388,0.1846339,0.19028468,0.20563847,0.23215169,0.27577993,0.3371247,0.4051362,0.4540633,0.46404204,0.43463805,0.38745108,0.3467356,0.3245106,0.31821778,0.3178005,0.3151268,0.3067575,0.29563615,0.28671038,0.28413108,0.28795037,0.29626548,0.30608973,0.31539926,0.32207885,0.32567868,0.3283701,0.33579007,0.3531978,0.37897757,0.40195957,0.40648663,0.3844948,0.34171999,0.29439262,0.25763717,0.23806773,0.23307456,0.23644085,0.24269928,0.24957679,0.2559388,0.26026237,0.25893322,0.2487737,0.22986434,0.20792584,0.19258432,0.19153376,0.20738679,0.2382977,0.28404477,0.34350178,0.40755284,0.45486572,0.46393394,0.4311644,0.37449288,0.32013288,0.28315255,0.26452205,0.25831756,0.26434308,0.28879198,0.33635458,0.3964803,0.4439162,0.4537904,0.423269,0.37173772,0.32518095,0.29566213,0.28135538,0.27678236,0.2828684,0.3045516,0.3394455,0.3745444,0.39062575,0.37961534,0.34734073,0.31005618,0.27868262,0.25688294,0.24237679,0.2340919,0.2316615,0.23447944,0.23925589,0.24126832,0.2363515,0.22461037,0.21143569,0.20447505,0.20760183,0.21606779,0.22069193,0.21834695,0.22091758,0.2496274,0.3129098,0.39320454,0.45276365,0.46676937,0.43793035,0.39305833,0.3547667,0.331417,0.3180276,0.30890647,0.3017843,0.29743728,0.29674459,0.2981682,0.29837692,0.2937787,0.28387758,0.27129984,0.26006085,0.25265995,0.25059983,0.25646147,0.2753425,0.3081338,0.3459138,0.36903307,0.36178777,0.32369915,0.2708452,0.22226702,0.18882746,0.17340505,0.17579716,0.1956076,0.22746384,0.2606794,0.2837664,0.29182768,0.28796843,0.27756187,0.26403233,0.2479018,0.23229705,0.22245471,0.2258029,0.24686275,0.28913566,0.34753916,0.4082429,0.44783285,0.45286223,0.42696548,0.39074072,0.36166787,0.34609374,0.3404925,0.34259072,0.3562057,0.38692418,0.43131074,0.47274685,0.4892309,0.4722099,0.43235195,0.39188698,0.36526248,0.3536354,0.34975395,0.34947595,0.35463476,0.3678557,0.38519546,0.3953948,0.38828465,0.36343023,0.33038986,0.3004209,0.27853844,0.26389953,0.25450504,0.25114325,0.25559175,0.26746356,0.28257343,0.29508063,0.3010833,0.3005328,0.29610983,0.29057753,0.2852144,0.28012252,0.27767083,0.28457868,0.31246042,0.3654064,0.43160972,0.48115,0.49027133,0.45823,0.41041628,0.37367797,0.3587937,0.35813954,0.36213577,0.37050763,0.39384282,0.43516973,0.48110732,0.50044477,0.47447038,0.409296,0.33723035,0.285772,0.26468635,0.26495948,0.27585366,0.29312527,0.31797826,0.34993458,0.3807222,0.39817274,0.39344406,0.37045637,0.34292817,0.32766607,0.33203053,0.3525002,0.37648046,0.39414942,0.40083694,0.39831245,0.38661012,0.36599305,0.3375461,0.30869484,0.29085347,0.29676798,0.33188775,0.38583252,0.4327633,0.44554576,0.41750264,0.365672,0.31752333,0.28872496,0.27944374,0.28167275,0.29120144,0.30971193,0.3380598,0.37241432,0.40386996,0.4306607,0.4550657,0.47942558,0.4926221,0.48306546,0.44916105,0.4074705,0.37764716,0.37022164,0.38167986,0.3994464,0.41037545,0.4076415,0.39453706,0.37832525,0.36284626,0.34590223,0.3265424,0.3091526,0.30121294,0.30541202,0.31807515,0.33330378,0.34856597,0.3656716,0.3852006,0.40361205,0.41291568,0.40853536,0.3919917,0.37111273,0.3536491,0.34343722,0.33977327,0.341339,0.3509145,0.374822,0.41284522,0.45223594,0.47070122,0.4568911,0.41721824,0.37239313,0.33776322,0.31831875,0.30982363,0.30719963,0.30664194,0.306855,0.30845547,0.31275544,0.31981984,0.3275061,0.3326602,0.33287334,0.32784772,0.3193324,0.30972525,0.30089465,0.29327723,0.2872491,0.28290328,0.28054985,0.2788913,0.27624735,0.2707351,0.26226535,0.25213352,0.24281709,0.23661466,0.23446059,0.23579498,0.23883665,0.24202126,0.24397646,0.24391825,0.24090354,0.23497736,0.22732681,0.22127323,0.2201853,0.22581615,0.23633999,0.2477017,0.2559826,0.25960612,0.25941005,0.25768256,0.25661954,0.2578453,0.26135644,0.26624256,0.27103767,0.27520296,0.27891442,0.28235507,0.28487813,0.28500918,0.28169462,0.27500227,0.2664391,0.25784728,0.25079033,0.24596371,0.24362348,0.24348079,0.24489856,0.24671982,0.24759042,0.2462374,0.24188678,0.23513854,0.22829641,0.2246357,0.22584449,0.23014481,0.23338811,0.23218442,0.22727384,0.22182202,0.21912831,0.21849465,0.2178793,0.21535285,0.21284705,0.21297324,0.2174242,0.22461402,0.23236692,0.2399096,0.24884474,0.26058376,0.27441275,0.286566,0.29314098,0.29129857,0.28133425,0.26507953,0.24611288,0.22745919,0.2111445,0.19721882,0.18492837,0.17381246,0.16418673,0.15696166,0.15251969,0.15070903,0.15046014,0.15080075,0.1509005,0.15068305,0.15057416,0.15134062,0.1536786,0.15751319,0.16206814,0.16610403,0.16894759,0.17055613,0.17132308,0.1713518,0.17066015,0.16915666,0.16697203,0.16405909,0.1605229,0.15663765,0.15288165,0.14948167,0.14631987,0.143138,0.14004166,0.13719378,0.13478889,0.13265795,0.13073753,0.12904648,0.12758154,0.1261232,0.12425068,0.12177247,0.11896353,0.116280936,0.11412517,0.11237272,0.11068531,0.10868188,0.10611457,0.103060804,0.099600546,0.096127994,0.09295336,0.09042772,0.08866355,0.087502964,0.086759634,0.08617414,0.0864807,0.08968502,0.09962249,0.118501924,0.14478032,0.17121923,0.19072436,0.19967657,0.20103456,0.19907719,0.19726463,0.19599862,0.19511469,0.19412416,0.19278689,0.1906941,0.18784142,0.18488026,0.18282299,0.18222962,0.18198954,0.17929876,0.17070745,0.15571006,0.13870554,0.12903352,0.1356988,0.16241573,0.20396607,0.24909902,0.28589952,0.30794296,0.31540146,0.31287506,0.3054126,0.2966826,0.28841057,0.2811282,0.27465984,0.26927748,0.2654997,0.26388696,0.26384184,0.26409933,0.26335606,0.26103166,0.2574584,0.2532791,0.24985106,0.24865396,0.2512692,0.25803462,0.26741993,0.27654383,0.28253558,0.2848178,0.28476945,0.2848666,0.28611222,0.28793895,0.28882173,0.28816447,0.286679,0.2856113,0.28517854,0.28408873,0.28075984,0.275439,0.27096355,0.27127427,0.27827087,0.29017556,0.302371,0.3106132,0.3131388,0.31054273,0.30408418,0.29465282,0.2837057,0.27361104,0.26726645,0.26569512,0.2675422,0.26982328,0.27051997,0.2696216,0.26833832,0.26735067,0.2655228,0.26060557,0.25018737,0.23435003,0.21673708,0.20452833,0.20326716,0.21292245,0.22673391,0.2371611,0.24033546,0.23770285,0.23251592,0.22804059,0.2265005,0.2293752,0.23641163,0.2457394,0.25461388,0.2611344,0.26459765,0.2655468,0.26405478,0.25916776,0.24803592,0.2292278,0.20512088,0.18437923,0.17685378,0.18804316,0.21401174,0.24548443,0.27399316,0.29727462,0.31736,0.3364725,0.35367823,0.36568287,0.36961102,0.3650603,0.3542445,0.33989057,0.3244562,0.30952403,0.2968754,0.28731263,0.28107154,0.27730504,0.27562115,0.2751324,0.2749628,0.2740772,0.27273753,0.2722616,0.2741566,0.27963933,0.28898048,0.3020498,0.3170824,0.33189127,0.34442177,0.3544217,0.3624827,0.36816546,0.36946175,0.36376822,0.35112044,0.33424065,0.31797186,0.30645242,0.3023624,0.30576447,0.31413165,0.3231584,0.32864848,0.32821503,0.32107174,0.30769554,0.28973082,0.2711874,0.25780192,0.2551882,0.26504338,0.2843614,0.30648002,0.32569018,0.33951712,0.34902966,0.35664484,0.3638296,0.37141907,0.37795332,0.3813133,0.37753782,0.3659781,0.3487921,0.33214858,0.32006618,0.3138873,0.3109168,0.30776367,0.30102792,0.28915334,0.2742264,0.2623224,0.2611296,0.2742381,0.29887787,0.3279617,0.3550786,0.3772327,0.39361203,0.40494564,0.41134152,0.41378188,0.41063464,0.40117714,0.38534904,0.37039173,0.36587307,0.37875345,0.40416858,0.42867804,0.43832955,0.42808142,0.40203378,0.36882058,0.33515152,0.30357322,0.27300116,0.24162398,0.20890485,0.17573337,0.1438367,0.11514322,0.09143484,0.07351283,0.061162308,0.054775074,0.05715245,0.07195913,0.099609695,0.1336656,0.16391234,0.18234392,0.18832393,0.18633188,0.18151021,0.17602772,0.17055655,0.16573624,0.16300775,0.16270466,0.16396548,0.16491707,0.1644932,0.1624879,0.15963471,0.15652037,0.15332316,0.14941737,0.14401855,0.13668959,0.12828352,0.120921254,0.117547624,0.12045136,0.13011627,0.1447208,0.16086431,0.1748882,0.18423317,0.18823338,0.18817084,0.18627207,0.18455593,0.18381707,0.18393256,0.18413232,0.18335073,0.18006422,0.17278273,0.16086012,0.14519943,0.12801526,0.112289734,0.1006174,0.095218115,0.09684201,0.10471953,0.115245335,0.12375977,0.12633309,0.1224057,0.114182495,0.10560376,0.100987606,0.10481205,0.12025102,0.14681487,0.17934273,0.20989388,0.23312491,0.24835114,0.25901553,0.26732907,0.27277967,0.27305973,0.2675896,0.25930277,0.2524693,0.25096825,0.25541127,0.26434192,0.27414882,0.2801834,0.27685907,0.25955275,0.22838444,0.19162644,0.16670436,0.17474711,0.22916465,0.32283935,0.42694005,0.50642776,0.54316115,0.54329616,0.5255122,0.5020506,0.4758006,0.44718644,0.42123914,0.40314326,0.393185,0.3869965,0.38023865,0.37277135,0.36640564,0.36286595,0.36098084,0.3580568,0.35134742,0.33997223,0.3275933,0.3228518,0.335775,0.36902508,0.4113082,0.44292104,0.4472172,0.42277527,0.38061312,0.33725643,0.30353916,0.28325477,0.2733418,0.27017757,0.27049372,0.27325174,0.27598608,0.27621496,0.27100906,0.26090422,0.24790011,0.23472965,0.22045726,0.20325024,0.1832366,0.16725992,0.1648994,0.18178052,0.21406157,0.25078675,0.2811066,0.29830384,0.3004326,0.28749016,0.26360974,0.23939677,0.2338218,0.26479498,0.33594415,0.42699862,0.50509745,0.5456901,0.5471375,0.52286124,0.48565152,0.4408176,0.39134178,0.34500548,0.31389275,0.30917707,0.33375785,0.37650737,0.41593552,0.43033823,0.4117695,0.36682025,0.31048092,0.25595328,0.2118407,0.1824249,0.16901274,0.17040657,0.1830021,0.20137125,0.21928126,0.23146982,0.23539346,0.23092055,0.21884675,0.20035999,0.18112266,0.17460994,0.2004124,0.26840487,0.36791253,0.46617875,0.5336111,0.5593074,0.5564535,0.5412436,0.5226073,0.5005969,0.47623214,0.45451203,0.43995717,0.43337095,0.43068352,0.42668918,0.417092,0.40031695,0.3789381,0.35733643,0.33918798,0.32447752,0.31275752,0.30794585,0.31761682,0.34680375,0.3877821,0.42281651,0.433357,0.4156398,0.38163868,0.35042834,0.33351645,0.32965958,0.3311789,0.3318235,0.33139887,0.329779,0.32435623,0.30930623,0.28288308,0.2504216,0.22224754,0.206234,0.20164186,0.20136434,0.19779773,0.19027448,0.18429302,0.18696384,0.20020396,0.21924101,0.23599078,0.24463719,0.24434452,0.23786153,0.22794132,0.2186056,0.21802247,0.24187644,0.30104744,0.3903227,0.48148236,0.5450936,0.5678086,0.5600784,0.5371526,0.5077583,0.4728022,0.43573943,0.40551135,0.39285883,0.40216267,0.42679787,0.44954148,0.45260242,0.42896816,0.38763285,0.344905,0.31247735,0.2907269,0.27376378,0.2555983,0.23620772,0.21901804,0.20945321,0.20852216,0.2139204,0.22020526,0.22355102,0.2206694,0.20903838,0.18924196,0.17157795,0.17799926,0.22933227,0.32564533,0.43700218,0.5225715,0.5589378,0.5536929,0.52779657,0.49542788,0.4566387,0.4117365,0.36694744,0.33500668,0.32279268,0.33111075,0.35110962,0.37281367,0.38615987,0.38996115,0.38760898,0.38482022,0.38153133,0.37536064,0.3669293,0.36471936,0.3783652,0.40808252,0.43892276,0.45114446,0.43414167,0.39546636,0.35155377,0.31653118,0.29418197,0.2831627,0.28150126,0.28860477,0.30183885,0.31623015,0.32720432,0.33288202,0.33363998,0.32842878,0.31514582,0.29116488,0.25788468,0.22062065,0.18985195,0.17628832,0.18598904,0.21506727,0.2511906,0.28156927,0.29940817,0.30646688,0.30760524,0.30703127,0.30615696,0.30817828,0.32242015,0.36099365,0.4257265,0.49726176,0.5458049,0.5533371,0.52845335,0.49153122,0.45743498,0.4258238,0.3960723,0.3722445,0.3662168,0.3827109,0.4173213,0.4530598,0.474112,0.47190544,0.45038435,0.41795316,0.38149944,0.34426633,0.30794466,0.27481756,0.24676771,0.22529276,0.21140194,0.20522644,0.20506334,0.20733039,0.20850152,0.20664059,0.20056182,0.1901651,0.17944986,0.18169926,0.21466787,0.2859825,0.37986836,0.46408376,0.5127426,0.5226173,0.5073596,0.4810454,0.45019576,0.41867426,0.39123002,0.37177074,0.35869893,0.34721744,0.33274338,0.31466186,0.29439422,0.2740761,0.254244,0.23521106,0.21771301,0.20423527,0.1990576,0.20922272,0.24136066,0.29592264,0.35827255,0.4032761,0.4068909,0.36511323,0.29384395,0.21911661,0.15860763,0.11718453,0.09031632,0.072444476,0.060053315,0.05132358,0.045006994,0.040029388,0.035784647,0.032012247,0.02875598,0.026118925,0.024081044,0.02247261,0.021086479,0.019998118,0.019516662,0.020076647,0.021869367,0.024691515,0.027851665,0.03031888,0.031046586,0.029604778,0.027285613,0.028032174,0.037973434,0.06191587,0.09912785,0.14143671,0.17767997,0.1999907,0.20837349,0.20783281,0.20355684,0.1967824,0.1878205,0.18018179,0.18410127,0.21001463,0.2610076,0.3237507,0.37559345,0.3947939,0.3773211,0.33546257,0.29050478,0.25673184,0.23730314,0.2265814,0.21810037,0.2091626,0.20043232,0.1934895,0.18811445,0.1835017,0.17989774,0.17930226,0.18251894,0.18619375,0.18617767,0.18453346,0.19552128,0.23438184,0.30288935,0.37975073,0.43780208,0.46263027,0.46225533,0.45309833,0.4468346,0.44491008,0.4443834,0.44241968,0.4380175,0.43148258,0.42380598,0.4164039,0.41020408,0.40560713,0.40215936,0.39887586,0.39483944,0.3898208,0.38579297,0.38668835,0.39743653,0.41919184,0.4466248,0.46837303,0.47465348,0.463595,0.44299293,0.42397395,0.41425118,0.4143641,0.4195093,0.4239105,0.42424974,0.42102778,0.41623867,0.41211638,0.40935495,0.4091268,0.41284624,0.42332694,0.44057545,0.46045586,0.4735628,0.47252664,0.45688245,0.43475255,0.41586804,0.4053844,0.40192854,0.40074608,0.3979325,0.39265656,0.3870418,0.38562927,0.39438757,0.42048383,0.46575245,0.5204331,0.56200486,0.56989324,0.54134685,0.49431965,0.45262954,0.42934835,0.4231409,0.42591515,0.43203947,0.44147897,0.4551703,0.4703916,0.47910106,0.4755094,0.46095142,0.44395074,0.43173322,0.42582062,0.4225596,0.4183792,0.41179243,0.40375897,0.3963473,0.39228857,0.3930074,0.39704442,0.40113556,0.4053326,0.41655722,0.444996,0.49076188,0.54042643,0.573739,0.5861023,0.5845437,0.5789604,0.5614577,0.5241787,0.46905276,0.41657305,0.38311896,0.3717252,0.37213337,0.37413123,0.3734173,0.37047204,0.3673648,0.36614695,0.36790466,0.37216926,0.37649617,0.3789334,0.37891272,0.37740245,0.37499273,0.37351108,0.37704575,0.39023915,0.41176176,0.43205002,0.4395199,0.43007842,0.40993366,0.38904032,0.37384245,0.36501297,0.36021432,0.35713026,0.3549432,0.35469565,0.35764718,0.36345673,0.3686925,0.36964318,0.36641428,0.36534154,0.37441957,0.3951683,0.4188203,0.43196508,0.4276638,0.40991578,0.38946784,0.37403646,0.36540464,0.36017427,0.35565493,0.3504534,0.34631565,0.3450816,0.35090533,0.3684664,0.40355834,0.45212016,0.49816942,0.5161527,0.4938338,0.43988052,0.3806894,0.33717152,0.3163577,0.31321025,0.3220981,0.34074926,0.3676635,0.398214,0.4229543,0.43298402,0.42458162,0.40344802,0.37999037,0.3642064,0.35917625,0.36191544,0.366542,0.36937156,0.36987233,0.36877775,0.3663617,0.3621191,0.35671744,0.35375276,0.3612413,0.3887292,0.43693152,0.49234566,0.53262734,0.548479,0.54818344,0.5469443,0.5438066,0.52704275,0.48953703,0.44263116,0.40291646,0.37953082,0.36861733,0.3635638,0.36007348,0.35848865,0.36013675,0.3658717,0.3747116,0.38391697,0.39099583,0.3941277,0.39360204,0.39002892,0.38530907,0.38174286,0.38312688,0.39250883,0.40897587,0.42569456,0.43292737,0.4258146,0.40781355,0.38793334,0.3736072,0.3670338,0.3664788,0.36832333,0.36933875,0.36698613,0.36126634,0.35427222,0.3491021,0.34722206,0.3488523,0.35468996,0.36774036,0.38966528,0.41661075,0.43807086,0.44400156,0.4324454,0.41087654,0.39017034,0.37693706,0.37145963,0.3700645,0.3687495,0.3658779,0.3613678,0.35877845,0.364092,0.38699448,0.42979822,0.48209083,0.5188381,0.52105945,0.48918578,0.44444454,0.40812674,0.38753426,0.3770578,0.370429,0.369066,0.37786373,0.39792404,0.42125714,0.43628195,0.43561316,0.42230332,0.4058113,0.3947747,0.39076397,0.3893427,0.38488033,0.37542975,0.3642672,0.35659274,0.3554335,0.35914287,0.36344132,0.36615703,0.3711458,0.3883734,0.42527103,0.4764297,0.5240906,0.5517492,0.5608972,0.56184936,0.56103784,0.5482927,0.5177174,0.47411108,0.43584803,0.4130311,0.40524647,0.402591,0.39770392,0.38822746,0.37741247,0.36997116,0.36870277,0.372358,0.3777635,0.3822212,0.38537705,0.38728854,0.38769066,0.38630763,0.38511816,0.38905382,0.40144977,0.42098007,0.43935046,0.4492958,0.44747448,0.43778554,0.4250804,0.41382137,0.4054443,0.40172806,0.405848,0.4242246,0.45798156,0.4978992,0.52287954,0.5181885,0.48598263,0.44659564,0.42015007,0.4155836,0.42732158,0.44518593,0.46160278,0.47840443,0.49810156,0.5187234,0.5284398,0.52135944,0.5014945,0.48262823,0.4723901,0.47098556,0.47228226,0.47151998,0.4668757,0.46207687,0.4627645,0.4709365,0.48187336,0.48883775,0.48941433,0.48597702,0.48293805,0.4828552,0.48539641,0.48644757,0.48311362,0.47644803,0.47166649,0.47005963,0.46930966,0.46582854,0.4619961,0.4610581,0.4652467,0.47027704,0.47207007,0.46782565,0.46278954,0.46252903,0.46886572,0.47306308,0.4658642,0.44537044,0.4212112,0.40455163,0.40067688,0.4054556,0.4132789,0.42152438,0.43592498,0.45976746,0.48873878,0.5047884,0.4930228,0.45075753,0.392746,0.33608755,0.29116,0.25809953,0.23311597,0.21288939,0.1960776,0.18220107,0.17074978,0.16098891,0.15266691,0.14631511,0.14294714,0.14293493,0.14566816,0.15044284,0.15820593,0.170639,0.18798383,0.20633493,0.22063594,0.22797509,0.23055482,0.23228675,0.23582208,0.24048705,0.24410476,0.24464555,0.24131148,0.23430936,0.2245908,0.21337052,0.20196082,0.19114088,0.18122362,0.17190863,0.16305473,0.15470338,0.14727034,0.14093967,0.13564263,0.13124388,0.12785502,0.12584083,0.12502997,0.12450682,0.12254677,0.1179398,0.11102065,0.10421479,0.10080034,0.10317256,0.112154216,0.12737207,0.14743729,0.16921593,0.18790466,0.19899414,0.20030995,0.19247508,0.17765033,0.15881388,0.13934387,0.12246967,0.110871546,0.106998354,0.1138873,0.1328979,0.16109161,0.18974276,0.20939708,0.2156579,0.2120992,0.2061947,0.20269401,0.20059061,0.19493417,0.18201591,0.16221322,0.13936582,0.11799332,0.10069656,0.08912465,0.085456945,0.0931801,0.11347958,0.14194475,0.16918297,0.18673998,0.19296569,0.19288109,0.19338125,0.19734061,0.20318663,0.20703442,0.20670848,0.20266348,0.19691378,0.19119926,0.18508333,0.17793375,0.16925679,0.16095899,0.15421437,0.14942811,0.14525884,0.14183308,0.1410103,0.1448973,0.15304999,0.16199762,0.16858707,0.1723121,0.17554493,0.17982347,0.1842375,0.18589406,0.18293683,0.17548019,0.16501707,0.15300258,0.14052355,0.12864645,0.11817365,0.10959359,0.10254329,0.09659397,0.09118567,0.086332135,0.082058795,0.07859785,0.07584453,0.073607124,0.071532674,0.06942866,0.06741232,0.06585696,0.06529382,0.065810144,0.06711484,0.068320006,0.06869516,0.067702055,0.06548629,0.062479276,0.059275795,0.05630602,0.05376968,0.051800877,0.050308835,0.049215663,0.04825999,0.047426,0.046750557,0.04645672,0.0465501,0.046969756,0.04796158,0.05127378,0.060768083,0.08131523,0.115128964,0.15842573,0.20188785,0.23556185,0.25465855,0.26042783,0.25769284,0.2501209,0.24021627,0.22926746,0.21963842,0.21300052,0.21049355,0.21135205,0.21456659,0.21918349,0.22545339,0.23396502,0.24467003,0.25586566,0.2649945,0.2709049,0.2750684,0.28034574,0.28793848,0.2958008,0.30047026,0.29962644,0.29407892,0.28604934,0.2781057,0.27137282,0.26639172,0.26298442,0.26112768,0.26084188,0.26235005,0.26585317,0.27094316,0.2766545,0.28139624,0.28388116,0.2833086,0.2800236,0.2751255,0.27007833,0.26545903,0.26080737,0.2553581,0.24928634,0.24395563,0.24063474,0.23957042,0.23894489,0.23557456,0.22661984,0.21300991,0.20083813,0.19643037,0.19977796,0.20164067,0.19224268,0.1697612,0.14357208,0.1264004,0.12686639,0.1454324,0.17590307,0.20891203,0.2359163,0.25272515,0.25963396,0.25943413,0.2539375,0.24332064,0.22684322,0.2050419,0.1796803,0.15358952,0.13007829,0.11370895,0.10943473,0.1195988,0.1411962,0.16608892,0.1861102,0.19724946,0.20137048,0.20314132,0.20693032,0.21458894,0.22533618,0.23683698,0.24573044,0.24816985,0.23936202,0.21670753,0.18302304,0.14948429,0.13019721,0.13447636,0.15966223,0.19362576,0.22230922,0.23797886,0.24130084,0.23803735,0.23409422,0.23256467,0.2334822,0.23455518,0.23170812,0.22003777,0.19637696,0.16310792,0.13031311,0.113048084,0.12290212,0.16020788,0.21211326,0.26126993,0.29536417,0.31275138,0.31810114,0.3173029,0.31387985,0.31007567,0.30760407,0.30794612,0.31141818,0.31699422,0.32258332,0.32632148,0.32715285,0.3248858,0.319599,0.31199887,0.30391982,0.29818404,0.29718235,0.30150768,0.30966815,0.3190006,0.32697245,0.33193573,0.33337376,0.33156392,0.327731,0.323732,0.32169017,0.3226374,0.32598028,0.32974783,0.33163592,0.3301732,0.32505548,0.3178908,0.31117234,0.3077331,0.30853155,0.31301478,0.31891933,0.32431492,0.32772633,0.32914913,0.3290614,0.32821414,0.3267695,0.32456443,0.3213189,0.31699923,0.31209314,0.3074275,0.30405676,0.30254415,0.3031978,0.30585262,0.3101573,0.31498638,0.31885633,0.32067382,0.32059905,0.31987867,0.31984398,0.32137164,0.32477406,0.33009616,0.33686736,0.3438352,0.34876063,0.34924677,0.34434605,0.33624735,0.32928374,0.32658854,0.32681882,0.32539132,0.31930587,0.31055772,0.30507767,0.30693582,0.3155222,0.32541978,0.33167028,0.33204123,0.3274183,0.31866094,0.30534384,0.288939,0.27637506,0.28204724,0.3171066,0.37979057,0.44803095,0.49603972,0.50937355,0.49593064,0.47124422,0.44656444,0.42390117,0.40389717,0.39018056,0.385152,0.38706776,0.38908732,0.38639542,0.37741378,0.36597288,0.3560597,0.35092393,0.34974396,0.34959733,0.34733963,0.34306395,0.34330234,0.35593152,0.38467574,0.41967878,0.44535682,0.4485903,0.43105552,0.4029689,0.37642834,0.35700718,0.34678647,0.34627664,0.3545759,0.36629093,0.3724958,0.36624694,0.34732592,0.32117733,0.29453194,0.2708808,0.25048146,0.23028801,0.20850267,0.1874548,0.1768819,0.18708794,0.22141075,0.26956013,0.3142101,0.34040818,0.34440565,0.3313818,0.3089296,0.28324974,0.26142594,0.25698763,0.28333142,0.34359744,0.41946277,0.48367402,0.515822,0.51685476,0.49942163,0.47600892,0.45133936,0.42668864,0.40557265,0.39401558,0.3972104,0.41493192,0.43888167,0.45703164,0.45791224,0.4381965,0.40007126,0.35067976,0.29692098,0.24657257,0.20668323,0.18344307,0.17968197,0.19354945,0.21867745,0.2463776,0.26940966,0.2833731,0.2868012,0.27841973,0.25837085,0.23154326,0.21241307,0.222593,0.27615085,0.36604178,0.46113253,0.5289466,0.55472654,0.54859185,0.52785516,0.5039751,0.47981933,0.45679632,0.4384472,0.42735624,0.42280838,0.42109048,0.41777575,0.41089594,0.40040067,0.38968065,0.37974215,0.369316,0.35349497,0.33310214,0.31692225,0.3190448,0.34573475,0.38734415,0.4229057,0.43413076,0.41940033,0.3909626,0.36547813,0.35020158,0.34442124,0.34255588,0.34234318,0.34297135,0.3434054,0.3384459,0.321151,0.2888957,0.24858148,0.21392687,0.19580312,0.19379522,0.19863963,0.20085202,0.19895357,0.19878751,0.20673776,0.22425324,0.24554025,0.26360852,0.27328536,0.27508187,0.2709694,0.2630367,0.253947,0.25120956,0.26976666,0.3194807,0.394964,0.4681904,0.5122139,0.51564044,0.49238706,0.45949137,0.42845237,0.39973342,0.3756474,0.36096022,0.36264542,0.3806229,0.40632665,0.42475104,0.42501378,0.40733317,0.38195238,0.35981548,0.34470353,0.33235574,0.31641743,0.2932679,0.26630902,0.24295513,0.23192476,0.23573673,0.25066233,0.2674118,0.27762142,0.2755707,0.25985116,0.23417394,0.21002369,0.20751958,0.24342574,0.31831968,0.40679523,0.47634825,0.505769,0.5005605,0.4771116,0.45023206,0.42249024,0.39384714,0.3662827,0.34767473,0.3443044,0.356915,0.3776643,0.3963208,0.40539467,0.4042069,0.3957725,0.3841811,0.3717656,0.36121133,0.35589135,0.36220244,0.38355696,0.4172127,0.44840264,0.4610639,0.44621453,0.41213346,0.37484193,0.34863916,0.33669338,0.3348377,0.33758318,0.34230438,0.3481634,0.35309276,0.35407558,0.3496953,0.3417453,0.3328403,0.32182524,0.30397317,0.2750276,0.23866737,0.20679294,0.19467826,0.20948541,0.24527688,0.2862034,0.31850073,0.33800396,0.34836802,0.35326278,0.3517443,0.3425235,0.33071256,0.33166492,0.36065218,0.41882148,0.48465744,0.52988356,0.5399031,0.5234604,0.4968462,0.4688511,0.43830037,0.40581524,0.37878284,0.36811066,0.37791562,0.40298986,0.4290273,0.44280437,0.43687734,0.4147921,0.38418248,0.3533089,0.32516536,0.3001312,0.27687824,0.25611177,0.24029984,0.23223978,0.23197812,0.23576003,0.23878421,0.23795992,0.2328623,0.2230284,0.2081364,0.1918934,0.18759918,0.2140401,0.28079548,0.37399194,0.46129346,0.5145636,0.5293749,0.5212683,0.5069526,0.49200368,0.47463,0.45558324,0.43880418,0.42719042,0.4168053,0.40179446,0.37842456,0.35005793,0.32230875,0.29973468,0.28251597,0.26902428,0.25862104,0.25369862,0.2609904,0.28628883,0.32976207,0.37703618,0.4066929,0.3988464,0.3524393,0.28184327,0.20991735,0.1518487,0.11475969,0.10075569,0.11300207,0.15149945,0.20839739,0.2676568,0.31428453,0.341643,0.3532132,0.35632548,0.35766387,0.36056492,0.36577356,0.37182343,0.37643638,0.37735105,0.37346372,0.36437988,0.35061982,0.33248565,0.3111272,0.28824326,0.2665832,0.2471593,0.22943388,0.2127711,0.20089076,0.1996839,0.21206886,0.23212929,0.24885535,0.25357038,0.24624468,0.23286049,0.21973495,0.20960723,0.20501798,0.21264662,0.24145277,0.29311016,0.3529983,0.39663884,0.4047418,0.37830415,0.33420503,0.29274228,0.26417837,0.24812698,0.23930292,0.23370911,0.23057397,0.22994588,0.23068911,0.2300254,0.22609538,0.2203419,0.2166148,0.21701853,0.21749063,0.21240264,0.20379497,0.20932083,0.2483208,0.3228191,0.40505144,0.45977107,0.46947578,0.44727588,0.41782716,0.3982905,0.39148378,0.39317402,0.39869705,0.40373316,0.40575877,0.40449807,0.402295,0.40041816,0.39823356,0.39435884,0.38941935,0.38539338,0.3837446,0.3845,0.38756895,0.39379704,0.4029928,0.41215956,0.41523424,0.40808395,0.39118752,0.37093282,0.35485354,0.34846735,0.35168365,0.35987672,0.36661032,0.36783758,0.36352095,0.35598254,0.3477384,0.34050247,0.33641192,0.33901966,0.35286406,0.37956652,0.41371515,0.44264206,0.45439303,0.44618198,0.42630407,0.40628484,0.39303252,0.3866957,0.3843142,0.38288066,0.38109687,0.37875322,0.37825933,0.3837097,0.40122175,0.4319667,0.4684659,0.49371704,0.49414703,0.4698806,0.43588054,0.40865207,0.3946155,0.38913524,0.38537645,0.38240948,0.3858484,0.39934102,0.41857243,0.43098652,0.4280449,0.41133252,0.39199242,0.37891802,0.37372223,0.37179124,0.3689877,0.36443332,0.3611674,0.36291066,0.37219855,0.38640133,0.4002032,0.40808275,0.41181943,0.41911158,0.43931547,0.47085628,0.50154686,0.5164258,0.5144343,0.505043,0.49687114,0.48476818,0.45980236,0.42140183,0.3820525,0.35522723,0.34540978,0.34677243,0.35060522,0.3517178,0.35056424,0.34999487,0.35194412,0.35508695,0.3570093,0.35597706,0.35295522,0.3502874,0.3500183,0.35255197,0.35748795,0.36647347,0.38137817,0.40150055,0.41906607,0.42543697,0.4168549,0.39945352,0.38239822,0.37234053,0.3691846,0.36973217,0.36987147,0.36844072,0.36622944,0.3659055,0.36769748,0.36970076,0.36855543,0.36495504,0.363981,0.3734782,0.3947793,0.42037642,0.43547484,0.43177485,0.41197833,0.3888389,0.37226316,0.36459854,0.36079192,0.35572675,0.3479888,0.3410511,0.3401308,0.3501748,0.3735355,0.4099879,0.451677,0.48320565,0.48565343,0.4524884,0.39512667,0.33785725,0.2990515,0.2829299,0.28215817,0.28931686,0.30218896,0.32106295,0.34330353,0.36102843,0.36698332,0.36008534,0.34794807,0.34066597,0.34385446,0.35509303,0.36676934,0.37267032,0.37186936,0.36844406,0.36637473,0.365786,0.36318323,0.35582793,0.34683153,0.34597418,0.3646436,0.40488815,0.4547274,0.49407116,0.5126017,0.5142299,0.5098505,0.5005832,0.48191416,0.4527786,0.42320547,0.40360963,0.39647654,0.39606962,0.39601958,0.39380264,0.38980997,0.3854535,0.38206425,0.3802879,0.38013902,0.3808402,0.3828065,0.38681853,0.39409682,0.40352976,0.41374287,0.42339656,0.4331555,0.4415587,0.44461086,0.43680954,0.4183371,0.39578006,0.37852156,0.37065482,0.36963272,0.3696057,0.36678943,0.361299,0.35578418,0.35320184,0.35471472,0.3596872,0.36604762,0.37309322,0.38197243,0.39671496,0.4184631,0.44304076,0.45910585,0.45831928,0.44111064,0.41846827,0.4009556,0.39284077,0.3907176,0.390698,0.39061895,0.3909942,0.3914539,0.39227083,0.39486364,0.40455136,0.42466867,0.4521421,0.47422016,0.4789032,0.4631034,0.43546093,0.40649018,0.38212106,0.362748,0.34931076,0.34505856,0.35513887,0.37936243,0.41080162,0.43534246,0.44334185,0.4337076,0.41624412,0.40050188,0.39164206,0.38721046,0.3830992,0.37621704,0.36812973,0.36295497,0.36446974,0.37185183,0.38063136,0.38717508,0.3936346,0.4074783,0.43408236,0.4689171,0.4986063,0.51183796,0.5096749,0.5006499,0.49012268,0.47480634,0.45254216,0.42775655,0.40907934,0.39955834,0.39615926,0.39325318,0.38780653,0.37871912,0.3674585,0.35653162,0.34942436,0.3474858,0.35042712,0.35636747,0.3636264,0.37004736,0.37330833,0.37235543,0.3688346,0.36748353,0.37145483,0.37961408,0.38505754,0.38219723,0.37080523,0.3573343,0.34815302,0.34527227,0.34570238,0.34517387,0.34133413,0.33555627,0.3317041,0.33412012,0.34334686,0.35651302,0.36845538,0.37757245,0.38624597,0.39976314,0.41806397,0.43441868,0.4382342,0.42724487,0.40832552,0.39378247,0.38955846,0.39620832,0.40914956,0.4251609,0.44101048,0.4573412,0.47325304,0.4862773,0.4898425,0.48234233,0.46747914,0.45361623,0.44593558,0.44611,0.4509895,0.45554277,0.45575544,0.4524556,0.44788137,0.44150034,0.43097118,0.41881242,0.41199872,0.41462982,0.4235511,0.4336239,0.4430724,0.4525734,0.46105942,0.4662877,0.46669415,0.46246386,0.45524725,0.447669,0.4426241,0.43891242,0.4342853,0.42611757,0.4173974,0.4101411,0.4066887,0.4050052,0.4047949,0.40667212,0.41662607,0.43901828,0.47088394,0.49654284,0.50043046,0.4794195,0.4471902,0.4190185,0.40059912,0.38731992,0.3738215,0.35812664,0.33956552,0.31679532,0.2899737,0.26300907,0.24120003,0.22629024,0.21446405,0.19954228,0.17793594,0.1526288,0.13344778,0.13554937,0.1717761,0.2431531,0.33034924,0.40067306,0.425577,0.4001026,0.34281364,0.2814839,0.23455203,0.20637266,0.19189347,0.18478934,0.1809359,0.17885695,0.17866431,0.18064515,0.1843686,0.18833117,0.19069219,0.19023241,0.18707001,0.18265647,0.17879575,0.17678177,0.17729233,0.18065198,0.1867551,0.19409108,0.20009156,0.20231973,0.20023,0.19514988,0.18903978,0.1833571,0.17863621,0.175264,0.17365281,0.17436011,0.1774099,0.18212497,0.18711214,0.19064844,0.19109845,0.18797582,0.18268876,0.18028271,0.18880539,0.21793711,0.2705315,0.33665517,0.39215744,0.4135619,0.39296222,0.3444432,0.29127604,0.25076815,0.2268489,0.21481413,0.20820892,0.20261562,0.19602573,0.18853325,0.18129836,0.1755123,0.1710643,0.16723098,0.16314347,0.1593125,0.1586566,0.1682785,0.1985666,0.25560918,0.33203295,0.4040873,0.4463743,0.44910753,0.42586696,0.39887786,0.38318908,0.37825218,0.3772731,0.37405488,0.36841774,0.36122596,0.3539145,0.34570494,0.33574042,0.3212805,0.2993087,0.26685163,0.22464772,0.177584,0.13623099,0.115251064,0.13133486,0.19219942,0.28624737,0.37896845,0.4319587,0.42574033,0.3731886,0.30462837,0.24759059,0.2120788,0.19521166,0.18856913,0.18585415,0.18413784,0.18396421,0.1867956,0.19209744,0.19710378,0.19837809,0.19488825,0.18788056,0.1796736,0.1720467,0.16576345,0.16190541,0.1615384,0.16596954,0.17423858,0.18394603,0.19132055,0.19404644,0.19144388,0.1853687,0.1785915,0.173687,0.17101027,0.1698154,0.16938072,0.17068535,0.17439492,0.17988707,0.18445176,0.18568029,0.18249704,0.17655921,0.17224903,0.17798217,0.20425768,0.2570106,0.32798284,0.3924519,0.42244947,0.40554467,0.35430908,0.29446352,0.24718082,0.21833783,0.20348096,0.19592357,0.19200629,0.19008458,0.18934096,0.18915778,0.18958414,0.19078459,0.19256651,0.1942869,0.1957084,0.19752365,0.20352231,0.22106825,0.26052722,0.3239163,0.39897823,0.4589899,0.48422602,0.4733056,0.4444375,0.4156729,0.39596722,0.3839449,0.37734115,0.37447986,0.37496403,0.37593412,0.37358037,0.36267626,0.3403747,0.30690813,0.26597235,0.2218148,0.17819335,0.14040042,0.11756084,0.12270973,0.16494644,0.2410292,0.32848135,0.3952272,0.41568002,0.3882314,0.332257,0.2739936,0.22961004,0.20205565,0.18676746,0.17857623,0.17493327,0.17501016,0.1789246,0.1855038,0.19258356,0.19733115,0.19853498,0.19620913,0.19164176,0.1859992,0.1809817,0.17776568,0.17732446,0.17941016,0.18344961,0.1881324,0.19223702,0.19453855,0.19454806,0.1922053,0.1879934,0.1826155,0.17718911,0.1726171,0.16944395,0.16773762,0.16768837,0.16966693,0.17359827,0.17850743,0.1823947,0.18339865,0.18172489,0.182249,0.19564886,0.2327532,0.29418492,0.36175236,0.40638125,0.4068162,0.36642596,0.30807137,0.2570022,0.22445296,0.2084892,0.20119679,0.19688384,0.19242822,0.18729365,0.18193568,0.17796148,0.1762314,0.1763344,0.17634195,0.17459671,0.17066967,0.16746171,0.17174207,0.19455135,0.24223089,0.30956265,0.3745849,0.41486946,0.42044225,0.40341225,0.38266277,0.37174964,0.3700962,0.37252042,0.37656426,0.38841295,0.41234994,0.44487408,0.46899092,0.47163257,0.4507133,0.420864,0.395169,0.3790884,0.3678929,0.3592433,0.35719755,0.37061143,0.40109155,0.43744886,0.45886126,0.45249292,0.42289472,0.38974097,0.36956537,0.3657453,0.36950597,0.37274745,0.37578535,0.38651165,0.4093674,0.43804884,0.4569085,0.45450178,0.43198225,0.40233946,0.3787019,0.36695334,0.36540246,0.37072682,0.38310084,0.40452102,0.43339562,0.45973742,0.47067344,0.46016303,0.43473318,0.40797856,0.39057016,0.38442376,0.38550314,0.39025092,0.40115213,0.422241,0.45206442,0.4781331,0.48609746,0.47101438,0.44252732,0.4165697,0.40400037,0.4052714,0.4134889,0.42139268,0.4282941,0.43632126,0.4471012,0.45496675,0.45777163,0.45631734,0.45719644,0.4606051,0.4670482,0.4752233,0.4859755,0.49330938,0.4934068,0.48589933,0.47791466,0.4711989,0.4656223,0.4588041,0.4532423,0.44937792,0.44863257,0.45091012,0.45736346,0.46619105,0.47653803,0.48605642,0.49017438,0.4796586,0.45085397,0.41120562,0.3762988,0.35605335,0.34905824,0.34740695,0.3451059,0.34159255,0.33864367,0.33775318,0.33814356,0.33859372,0.33786902,0.33728778,0.3409057,0.35636067,0.3875501,0.42915675,0.46487233,0.48143947,0.47719595,0.46207535,0.44290754,0.42020822,0.39245215,0.3655343,0.35044804,0.35700765,0.3845683,0.421319,0.4499625,0.46344972,0.46743146,0.47179568,0.4733528,0.46114394,0.42974582,0.38936314,0.35472107,0.33300745,0.32150987,0.3146987,0.30967298,0.30580476,0.3032569,0.30221894,0.30288896,0.3053393,0.30935478,0.31640625,0.33052143,0.35711527,0.3956672,0.4377507,0.4710997,0.49197173,0.50410265,0.51163435,0.51021546,0.4946756,0.46677867,0.43640265,0.41348088,0.40233287,0.40148452,0.405915,0.41128185,0.41691425,0.4237293,0.42949125,0.42781207,0.41546607,0.39675447,0.38039044,0.37188593,0.37060466,0.37267745,0.374168,0.3737867,0.372252,0.3715655,0.37219492,0.3744954,0.37854066,0.38540372,0.39379847,0.4021957,0.40906033,0.41650185,0.4281948,0.44951436,0.48016325,0.5112272,0.52442735,0.5076951,0.46396184,0.41248527,0.37105298,0.3473775,0.33635834,0.33096147,0.32598892,0.32119307,0.31757998,0.3164634,0.31782177,0.32016644,0.32169312,0.32235372,0.32751858,0.3462887,0.38284206,0.42976844,0.46996284,0.49251947,0.49708247,0.49092445,0.47598577,0.4523473,0.42354044,0.40119007,0.39702383,0.4145223,0.44413066,0.4696137,0.4792684,0.4756203,0.46770748,0.459517,0.44335318,0.41381064,0.37561008,0.34254298,0.3225135,0.3144847,0.3117828,0.31026444,0.30879205,0.30772924,0.30694553,0.30588344,0.30408767,0.30142808,0.29966542,0.30311152,0.31868556,0.34805155,0.38487563,0.41541553,0.4346763,0.4460734,0.45746437,0.46437618,0.4605199,0.44320634,0.42241612,0.40527645,0.39707002,0.39599323,0.402158,0.41035768,0.41931617,0.4275882,0.43774295,0.44565332,0.44891676,0.4460084,0.44124362,0.43344286,0.42129263,0.40311536,0.38414192,0.36767045,0.3565422,0.3495278,0.34729123,0.34897712,0.35544905,0.36566138,0.37886438,0.39206716,0.40289375,0.4088827,0.41080138,0.41368493,0.42626068,0.44981256,0.4726895,0.47429594,0.44647428,0.39943278,0.35543266,0.3275154,0.31586003,0.31186152,0.3093504,0.30623892,0.30393526,0.3036135,0.30540535,0.30722204,0.30697465,0.3052952,0.3092027,0.33033583,0.37421146,0.43042037,0.47407326,0.48672637,0.46995747,0.44208956,0.41654947,0.39496896,0.3728117,0.35149494,0.3358461,0.3292974,0.33000812,0.33654925,0.35021046,0.37609258,0.4126338,0.448042,0.46124086,0.44153056,0.39680913,0.35016778,0.31942853,0.30781367,0.30787018,0.3121494,0.318169,0.3255104,0.33332288,0.33953857,0.34299418,0.34404624,0.34432125,0.34508052,0.34655464,0.34808984,0.35001135,0.3555456,0.37059703,0.39872292,0.4328998,0.45565578,0.44943312,0.4135295,0.36470783,0.32535192,0.3059369,0.303488,0.30964446,0.3200226,0.33582684,0.35750416,0.38083303,0.39583433,0.39557326,0.38079572,0.36208108,0.3526329,0.36306843,0.39377937,0.43337345,0.4638568,0.47560307,0.47370383,0.46819255,0.4589201,0.43645144,0.39823377,0.3567337,0.33073452,0.32992315,0.34899735,0.37505916,0.396631,0.41408685,0.4317672,0.45087516,0.45806977,0.44139996,0.40057003,0.35351944,0.31823933,0.30256167,0.30160117,0.3095864,0.32586262,0.35578346,0.39783502,0.4393479,0.45723808,0.44078472,0.39751104,0.35115543,0.31799805,0.3017006,0.29624474,0.29983285,0.31660613,0.35079524,0.3959987,0.43429604,0.44630876,0.42755124,0.39165556,0.35953546,0.3425323,0.3380854,0.33801427,0.34037483,0.35260546,0.38296685,0.4262468,0.4619665,0.46655968,0.43622056,0.3887374,0.35183728,0.3407245,0.35352477,0.37706026,0.39996123,0.42064467,0.44305554,0.4672737,0.48252448,0.47735563,0.45116523,0.41751298,0.3916699,0.3828598,0.38961515,0.40573096,0.42065755,0.4292306,0.43099117,0.43091378,0.43044397,0.42998433,0.4298978,0.43224907,0.43640456,0.44007358,0.4414018,0.4413328,0.4410695,0.44271576,0.4472455,0.4541851,0.45884874,0.45813897,0.45258525,0.4473443,0.44416627,0.4422437,0.43897066,0.43649217,0.4381278,0.44667223,0.45966995,0.47172832,0.4780865,0.47681972,0.47003642,0.459646,0.4500793,0.44409394,0.44475865,0.44902515,0.4525441,0.45078564,0.44457278,0.4372951,0.4313712,0.42600358,0.4174366,0.40341428,0.3839431,0.36277643,0.34527454,0.3364636,0.3382121,0.34686315,0.35619172,0.36022523,0.35788247,0.35089293,0.3426839,0.33509734,0.32879218,0.32310095,0.3172998,0.31131184,0.3057773,0.30138206,0.29809365,0.29534063,0.2929728,0.29157946,0.29214498,0.2949684,0.29929188,0.3036578,0.30643022,0.3064759,0.3030658,0.29598573,0.28509942,0.27086133,0.254786,0.23966224,0.22798873,0.22026868,0.21460074,0.208784,0.2020543,0.19542666,0.18985869,0.18563496,0.1823218,0.17982824,0.1782365,0.17784119,0.17875804,0.18065338,0.18219668,0.18110669,0.17609392,0.16851868,0.16295911,0.1635279,0.17115301,0.18213393,0.19144078,0.194915,0.19078495,0.17907067,0.16164355,0.14246045,0.12674372,0.11993095,0.12489013,0.14077264,0.16182245,0.18039991,0.19019605,0.18990584,0.18344992,0.17752624,0.17786902,0.18496414,0.19393152,0.19670509,0.1878526,0.16715401,0.13970083,0.11183112,0.08854533,0.07257959,0.066389464,0.07152619,0.08708748,0.107322216,0.12499746,0.13559578,0.14054026,0.14396961,0.14869611,0.15414563,0.15839386,0.160591,0.16133183,0.16135985,0.16047879,0.15807438,0.1540327,0.1492263,0.14464085,0.14080472,0.13747607,0.13460673,0.13255717,0.13221367,0.1337912,0.13660878,0.13906069,0.14042117,0.1413068,0.14346434,0.14697272,0.14970116,0.14818501,0.14123695,0.13054778,0.11960798,0.11067093,0.10418328,0.09925997,0.09514076,0.09148526,0.088458955,0.08622214,0.084798746,0.083827436,0.082919806,0.08181089,0.0806215,0.07950925,0.07859903,0.07770044,0.07669923,0.07550493,0.07434727,0.07336595,0.07268306,0.07220172,0.071887255,0.07169057,0.07158641,0.07147526,0.07127046,0.07095241,0.07058527,0.07031367,0.0703579,0.070996694,0.07241429,0.07449135,0.07666705,0.07806339,0.077854306,0.07575526,0.07258605,0.070997626,0.07566041,0.091978736,0.12253233,0.16413635,0.2079053,0.24371846,0.26487693,0.27012488,0.26267725,0.24795236,0.23198543,0.21912825,0.21118633,0.20722549,0.20538986,0.20406365,0.20245041,0.20091115,0.20173216,0.20921157,0.22749794,0.25677362,0.29164705,0.32354307,0.3460289,0.35779667,0.3616508,0.3612779,0.35875443,0.35466266,0.34847477,0.34016955,0.3300823,0.31956553,0.30947065,0.30042312,0.29202846,0.28381968,0.27487966,0.26473895,0.25350946,0.24220727,0.23181576,0.22249942,0.21328497,0.20272915,0.18997024,0.17554635,0.1615147,0.15001678,0.14195305,0.13613512,0.13109341,0.12612036,0.12182331,0.11864453,0.11644745,0.11495021,0.11400759,0.11376091,0.11354872,0.112730175,0.11056989,0.107354514,0.10363146,0.10087278,0.10146642,0.10868699,0.124341644,0.14625795,0.16802652,0.18229793,0.18473549,0.17551696,0.15778422,0.13577598,0.11368083,0.09512178,0.08199411,0.07377986,0.068139516,0.06288378,0.05785157,0.055206463,0.05816868,0.06843289,0.084620796,0.10229019,0.116737366,0.12547037,0.12932175,0.13059866,0.1309482,0.13043761,0.12835182,0.12493923,0.120867334,0.11641962,0.10961413,0.09880514,0.08477024,0.07275751,0.06890278,0.0761937,0.09158069,0.10783521,0.118188314,0.1198997,0.11491128,0.10673285,0.09795704,0.08906766,0.07980009,0.07008846,0.06056224,0.052062813,0.045390148,0.04157951,0.042410076,0.050410375,0.06712591,0.09112666,0.11724875,0.13917066,0.15261632,0.15721573,0.15515332,0.14916253,0.14119482,0.13247088,0.12379525,0.11567557,0.10830004,0.10154381,0.095154256,0.08897994,0.0830565,0.077417605,0.07186583,0.06598978,0.05953395,0.05264989,0.0459183,0.039978553,0.035200264,0.031405542,0.02794174,0.02406776,0.019471547,0.0145398835,0.0100561315,0.006679483,0.0045529814,0.003392476,0.0027785206,0.0024126181,0.0021667418,0.0020053077,0.0019128785,0.0018471262,0.0017589554,0.0016046701,0.0013788372,0.0011124943,0.00086763105,0.00070063653,0.0006279419,0.0006173894,0.0006175116,0.00060607475,0.00059702253,0.0006188252,0.00067286944,0.0007316757,0.00075467484,0.0007205696,0.00063377526,0.00052010285,0.00040994116,0.00033609316,0.00032528804,0.00038744113,0.0004991409,0.0006093982,0.0006644256]