[0.38234776,0.3808961,0.36716446,0.32837978,0.2635902,0.18697755,0.11610361,0.06275617,0.028984757,0.011280075,0.0036424594,0.001077019,0.00035117168,0.0019287994,0.011500813,0.041016486,0.10071679,0.18736656,0.27642724,0.33376694,0.33681157,0.28898993,0.21385318,0.13776624,0.077473685,0.037597593,0.015451533,0.005260436,0.0015466055,0.00047286515,0.0010828878,0.0068491455,0.027041713,0.073158346,0.14846541,0.23785345,0.3104358,0.3373605,0.31038517,0.2450946,0.16787203,0.10019347,0.051882237,0.022929685,0.008492234,0.0026517243,0.0007867224,0.00063412363,0.0037602943,0.017077876,0.052075893,0.11651913,0.2032578,0.28613245,0.33305526,0.32610333,0.27287897,0.19969793,0.13644691,0.10393149,0.10765439,0.13661103,0.16863985,0.18242651,0.16911824,0.1362901,0.10297951,0.09220597,0.12019771,0.18630572,0.26666784,0.325596,0.335716,0.29515564,0.2235533,0.147254,0.08439326,0.041743696,0.017421398,0.0060323863,0.001767295,0.00053334923,0.0009290807,0.0058507374,0.02385308,0.06641837,0.13829334,0.22677465,0.3025787,0.33570096,0.3150661,0.2533825,0.17654432,0.10696595,0.056220908,0.025204092,0.009492439,0.0029945814,0.0008841162,0.00041447286,0.0026796276,0.014003165,0.04646325,0.10889641,0.19612558,0.281968,0.3336164,0.33071077,0.2795623,0.20383503,0.12951247,0.07162874,0.03422064,0.0138098495,0.0046853307,0.0013905395,0.00044545473,0.0015306282,0.009175948,0.034051966,0.08693167,0.16817708,0.2576525,0.32320318,0.33835426,0.30126268,0.23222302,0.16293605,0.1207321,0.12041298,0.1571817,0.20756574,0.24142893,0.23935382,0.20357169,0.15390359,0.117364146,0.116553664,0.15958625,0.23221906,0.30186978,0.33461833,0.3163252,0.2570952,0.18170975,0.11193874,0.060024697,0.027444938,0.010566254,0.0033750597,0.001002361,0.00033770734,0.0019704874,0.011642949,0.041254964,0.100830086,0.186902,0.27489045,0.33102968,0.3332468,0.28531966,0.21070354,0.1354628,0.076006874,0.036800712,0.01509174,0.005137012,0.0015153048,0.0004664048,0.001209888,0.007665833,0.029755598,0.07903119,0.15743166,0.24742027,0.3167217,0.3375361,0.30484742,0.23664789,0.159826,0.094231315,0.048299465,0.021047445,0.007681756,0.0023407412,0.0006981203,0.0007642669,0.004588585,0.019633438,0.057152066,0.12377151,0.21035738,0.2902901,0.33253357,0.32186916,0.2671532,0.19487739,0.13334861,0.10197925,0.10463867,0.12982637,0.15630923,0.16523023,0.15007849,0.11903787,0.09004586,0.0842982,0.11677726,0.18603082,0.2679719,0.3268443,0.33597007,0.29417866,0.22192223,0.14556547,0.08313489,0.04096614,0.017051173,0.005882029,0.0017244946,0.00052071264,0.0011124165,0.0069249473,0.027259715,0.07363355,0.14932339,0.23915076,0.31216452,0.3393761,0.3124618,0.24694866,0.16930355,0.10113004,0.0523966,0.023157006,0.008567088,0.0026641833,0.0007831003,0.0005540014,0.003378797,0.015918994,0.049778298,0.113174595,0.1998982,0.2840757,0.33336055,0.3285973,0.27628466,0.2003275,0.12635632,0.06927218,0.03274249,0.013062641,0.004386436,0.0012975881,0.0004208164,0.0015623724,0.009279655,0.03417973,0.08670964,0.16710626,0.2553388,0.31993124,0.3348186,0.29831642,0.23037475,0.16252041,0.12180063,0.122546196,0.15939392,0.208697,0.24098748,0.2375593,0.20126332,0.15180123,0.11624936,0.11690754,0.16161655,0.23533516,0.30491653,0.33637002,0.31617445,0.2554336,0.17958818,0.110609084,0.060227986,0.02931802,0.013692965,0.0072412253,0.0051983423,0.0047732075,0.0070632086,0.018503359,0.051521678,0.11570224,0.20693326,0.30098712,0.36824563,0.39284983,0.38374242,0.36149216,0.3410397,0.32344487,0.30371603,0.2795327,0.2536545,0.22993456,0.21096782,0.19832802,0.19517605,0.20684421,0.23875137,0.28909746,0.34333518,0.37713647,0.3704082,0.32086203,0.24494572,0.16801775,0.11163973,0.08863607,0.09964321,0.13500239,0.17737925,0.21189077,0.23173559,0.24096096,0.24925363,0.2675908,0.30080095,0.34234726,0.3740184,0.37590587,0.34035483,0.2770959,0.20828597,0.15601934,0.13479249,0.14553255,0.17641932,0.20752425,0.22230591,0.21610214,0.19750096,0.18230931,0.18661945,0.21960454,0.27633205,0.33542168,0.36832806,0.35766903,0.30768356,0.23998861,0.1769479,0.13134937,0.1038524,0.08899813,0.07964643,0.0708526,0.060630564,0.050599206,0.046308484,0.057985354,0.09673107,0.16515544,0.2479204,0.31489798,0.3380843,0.3098031,0.2454346,0.17088024,0.106790304,0.061988298,0.035361603,0.021421514,0.014378537,0.010399559,0.008120713,0.009704677,0.022213787,0.05696998,0.121332586,0.20769443,0.28963473,0.33521056,0.32701114,0.27267367,0.19668038,0.123910844,0.06865425,0.033834055,0.015558734,0.007803571,0.005243939,0.004586425,0.005922308,0.014343808,0.04101162,0.096333325,0.17901981,0.2672626,0.3283484,0.33783925,0.29621014,0.2260505,0.15885262,0.12082439,0.1241165,0.16211106,0.21084361,0.24152714,0.23658288,0.1993864,0.1500298,0.11537861,0.11756352,0.16375892,0.23845719,0.3079234,0.33833888,0.31636146,0.2540183,0.17707975,0.10798448,0.058040768,0.027938135,0.013033293,0.00716613,0.005629722,0.006757205,0.013767716,0.035475492,0.08332371,0.16222093,0.26164034,0.3564233,0.42127645,0.44519508,0.43339506,0.3961878,0.34247693,0.28238317,0.23125196,0.20263344,0.19768901,0.2051792,0.21174811,0.21324389,0.21454044,0.22578721,0.25434768,0.29954326,0.34661186,0.37307942,0.36047754,0.30876347,0.23373455,0.15923859,0.104368664,0.08217008,0.0955471,0.13832556,0.19430752,0.24685228,0.28606486,0.3139714,0.3393005,0.37127575,0.41211236,0.45357344,0.4791473,0.47342682,0.43337372,0.37025866,0.30356064,0.25111073,0.2251516,0.2293412,0.25764182,0.295468,0.32758942,0.34636486,0.35451093,0.3608974,0.37524667,0.40291682,0.44075882,0.4757361,0.4917461,0.4807199,0.4485785,0.41002357,0.37800303,0.35776532,0.34799576,0.3448896,0.34439716,0.34278497,0.33705005,0.3266246,0.3152235,0.31152812,0.3247105,0.356647,0.39535442,0.42004362,0.4136951,0.37546578,0.31879026,0.26215547,0.21790846,0.18999118,0.17478043,0.16544525,0.15544493,0.14219481,0.12786604,0.11849118,0.12252253,0.14864703,0.20007874,0.26697552,0.32587945,0.35041556,0.32846344,0.26840273,0.19295152,0.12369791,0.073198885,0.04293559,0.02844126,0.022954457,0.021029174,0.01937113,0.01842107,0.0238015,0.04733485,0.1000126,0.18061912,0.26726162,0.32694626,0.3354535,0.29337934,0.22367834,0.15777226,0.1216701,0.12675355,0.16546033,0.21334545,0.24194701,0.23492497,0.19658764,0.1476596,0.11475805,0.11954933,0.16795719,0.2433579,0.31144738,0.3396201,0.316579,0.25634426,0.18489057,0.1234963,0.08154563,0.058629338,0.04990266,0.049606618,0.0530342,0.057642814,0.06464306,0.08038854,0.11551709,0.17763855,0.26176637,0.34680104,0.40700647,0.42883793,0.41888905,0.3949854,0.3716707,0.3536135,0.3383931,0.3229318,0.30538097,0.28621638,0.26639783,0.24841414,0.23578401,0.23565388,0.2550427,0.29465154,0.34027293,0.36821714,0.358297,0.31025797,0.24292837,0.18523599,0.15863274,0.16933797,0.20497824,0.24470682,0.27084848,0.2794061,0.27832612,0.2795898,0.29169932,0.3171663,0.35244277,0.3863623,0.40297046,0.38806283,0.3404002,0.27289715,0.2084689,0.16709715,0.15893544,0.17867489,0.20988853,0.23323487,0.23754807,0.22407366,0.20317538,0.1886567,0.19382043,0.22635718,0.28139699,0.3375845,0.3675612,0.35467947,0.30450973,0.23784156,0.17608629,0.1299406,0.099545754,0.0799708,0.06680455,0.057939112,0.05309963,0.05295155,0.060509708,0.08299344,0.12910713,0.19948137,0.27781424,0.33516738,0.34714577,0.3107836,0.24408661,0.17285056,0.1149022,0.07633986,0.053995285,0.0423605,0.036634266,0.034517538,0.03548215,0.04168847,0.059493404,0.09833247,0.16282478,0.24254887,0.31166577,0.3421227,0.32277,0.26448086,0.19212,0.12766905,0.08306219,0.058537755,0.04852228,0.045507267,0.044168193,0.04200064,0.04047829,0.04604275,0.07090277,0.12530859,0.20599997,0.2888064,0.34054103,0.34001935,0.292223,0.22299744,0.16298057,0.1346,0.14479592,0.18324791,0.22606976,0.24787559,0.23633115,0.19776696,0.15301926,0.12666894,0.13770397,0.1890605,0.26248205,0.32445607,0.34545413,0.3177681,0.2572644,0.18944949,0.13347201,0.09619262,0.07522765,0.06501367,0.06061044,0.059582144,0.062781304,0.07550279,0.10628841,0.16216487,0.24007559,0.32248822,0.3828816,0.39972124,0.3700533,0.3109499,0.2514358,0.21547318,0.21195255,0.2305478,0.25329557,0.26520792,0.2628307,0.2492426,0.2301171,0.21153331,0.20421642,0.21989435,0.2619994,0.31519282,0.35226592,0.35245034,0.31878328,0.27351505,0.24017654,0.22660573,0.2261271,0.22831064,0.22888346,0.2282911,0.22616766,0.21933818,0.20825543,0.20262857,0.21802342,0.2613539,0.32046676,0.36794475,0.37941608,0.3495672,0.29405364,0.23937094,0.20893307,0.21442772,0.25203273,0.30573836,0.35726607,0.39548364,0.42104432,0.4404172,0.46103844,0.4868717,0.51853794,0.5507596,0.57324815,0.5752215,0.5533157,0.5140515,0.46985662,0.4315085,0.40464178,0.38999096,0.38607657,0.39041483,0.39955476,0.40879932,0.41347805,0.41240573,0.41057423,0.41656426,0.43508816,0.4597211,0.4762107,0.4718357,0.4457139,0.40670574,0.36677587,0.3325334,0.30491516,0.28132546,0.25980878,0.2408445,0.22671582,0.21987194,0.22178417,0.235168,0.26360607,0.30779502,0.3582952,0.397531,0.40919948,0.3912367,0.35454428,0.31463078,0.2799696,0.25242275,0.23029356,0.21284921,0.19939505,0.1890996,0.18112583,0.17665909,0.18006517,0.19900876,0.23895723,0.29541755,0.34928977,0.37533498,0.35803747,0.3022996,0.23048298,0.16992801,0.14175694,0.15243767,0.19075654,0.23197842,0.25093886,0.23661299,0.19645572,0.15164599,0.12647192,0.13958551,0.19301836,0.26719615,0.32763556,0.3455398,0.3154621,0.2551948,0.19043092,0.1383761,0.10372877,0.08270507,0.06999638,0.06174101,0.05649482,0.054561928,0.05876468,0.07660222,0.120532356,0.20154846,0.31700936,0.4444839,0.5500676,0.60910624,0.6202068,0.6029616,0.58056456,0.56394106,0.5490003,0.5259865,0.49296153,0.45751175,0.42993644,0.41351986,0.40567434,0.4050466,0.4135991,0.43039688,0.44381666,0.43689334,0.3999851,0.3397819,0.27331147,0.21567005,0.17406802,0.15127581,0.14877088,0.16268116,0.17943227,0.18204033,0.16503768,0.14328347,0.1434347,0.18430841,0.26145527,0.34824514,0.41146895,0.43103746,0.40982231,0.3682767,0.32983294,0.30832562,0.30489686,0.31178215,0.31848836,0.3168062,0.3038,0.28219175,0.25844634,0.2413215,0.24067569,0.26341566,0.3056166,0.3484142,0.3661751,0.34332046,0.28474215,0.21105139,0.14419638,0.096981645,0.07117596,0.061667603,0.06119157,0.06361863,0.065335624,0.06704381,0.07550208,0.10510496,0.1688155,0.2660164,0.37067762,0.4437003,0.45361853,0.39922777,0.30630544,0.21365912,0.15345798,0.14254831,0.17857303,0.24317996,0.3105034,0.36043337,0.38692808,0.39768374,0.405533,0.4209398,0.4454299,0.46961907,0.47610536,0.45042276,0.39210057,0.31542084,0.24009389,0.18051982,0.14460748,0.13565262,0.15157138,0.17980744,0.19987999,0.19590521,0.17116857,0.14915042,0.15909043,0.21476477,0.3034269,0.39176372,0.44642743,0.4530343,0.42117843,0.3742386,0.33483854,0.31625435,0.3196026,0.3353921,0.34818718,0.3452797,0.32408115,0.29269382,0.26509333,0.25480306,0.27035943,0.30934522,0.35513553,0.38240442,0.3718952,0.32363743,0.25498888,0.18838172,0.13738535,0.104495406,0.08446184,0.07143565,0.06181066,0.055222843,0.05320413,0.060308028,0.08592445,0.14276008,0.2345279,0.343851,0.4323807,0.46461582,0.43144974,0.35643065,0.2767189,0.22274496,0.2093346,0.23564808,0.2881579,0.34402463,0.38437974,0.40333188,0.41030538,0.41878226,0.438789,0.47236988,0.5140828,0.5510002,0.56638193,0.546875,0.48898885,0.4019065,0.3046883,0.2209693,0.17144929,0.16678731,0.20373392,0.26591277,0.33160868,0.3831472,0.41530156,0.43500838,0.4546775,0.48145676,0.51106757,0.5304517,0.5275652,0.5008123,0.45943603,0.41737196,0.3853406,0.36800027,0.36248183,0.35926184,0.3454242,0.31411272,0.2724814,0.24094968,0.24031906,0.27817726,0.34401527,0.41614446,0.47231498,0.49901024,0.4959444,0.47538242,0.4548461,0.4477029,0.4569914,0.47748563,0.5010779,0.5218361,0.5360611,0.5421687,0.5409791,0.5381175,0.542628,0.5615196,0.5922516,0.62168604,0.6334565,0.61871463,0.58104116,0.53257805,0.4861547,0.44948116,0.42340398,0.40428042,0.3872794,0.37040767,0.35458338,0.34287846,0.33839834,0.34501705,0.36618295,0.40144065,0.44163302,0.47075674,0.4751123,0.4531636,0.4156101,0.37705055,0.34672332,0.3268968,0.3157587,0.31084654,0.3094615,0.30869368,0.30607513,0.30174136,0.30007067,0.30920133,0.33519137,0.3745369,0.41115448,0.4250243,0.40574548,0.3600004,0.30626062,0.26369748,0.24425484,0.24933441,0.26934254,0.28689888,0.2853861,0.25884807,0.21504043,0.1718479,0.14983787,0.16425137,0.21554138,0.28332922,0.33474842,0.34246275,0.30309984,0.23650682,0.17493291,0.14516704,0.15657976,0.1946476,0.228103,0.22949402,0.1943879,0.14608942,0.12030349,0.1449939,0.22476433,0.33835638,0.44839564,0.5223054,0.5469577,0.5307991,0.48793742,0.4304103,0.36751637,0.3158443,0.29322875,0.30703685,0.34225032,0.36992607,0.3647441,0.32253632,0.2632716,0.22243382,0.23053777,0.29448026,0.38980103,0.47628736,0.5228185,0.524059,0.49599758,0.4588028,0.4251914,0.39765587,0.37503433,0.35507417,0.33722925,0.3209795,0.30727097,0.2990513,0.3022654,0.32270095,0.35868585,0.396705,0.4159348,0.4018441,0.35713887,0.30044204,0.25734028,0.2475502,0.27958798,0.34651265,0.4320487,0.51633406,0.58604556,0.63501215,0.66550803,0.68299794,0.69421107,0.699354,0.68946457,0.6497001,0.5722969,0.47023776,0.37578818,0.32527125,0.33577982,0.3964447,0.47669402,0.5454341,0.58473516,0.59103775,0.5704002,0.5338962,0.49684858,0.47310743,0.4694703,0.47794244,0.48288524,0.46735418,0.42635083,0.36471906,0.2973458,0.24049306,0.2092167,0.2096981,0.23800816,0.2818079,0.3298202,0.37558237,0.4165468,0.4487672,0.4694569,0.4807075,0.48870203,0.49516478,0.49281454,0.4715569,0.42942575,0.375149,0.32118598,0.27403384,0.23376624,0.19790278,0.16727716,0.1447423,0.13257432,0.12966011,0.13437389,0.14931245,0.18176383,0.23656742,0.3046603,0.36254457,0.38386133,0.35916033,0.3022457,0.24347906,0.2111271,0.21897788,0.2605771,0.3153207,0.35937193,0.377939,0.3711553,0.35073566,0.33310434,0.33198705,0.35387075,0.39353314,0.43345115,0.45193374,0.43537733,0.38772032,0.3249121,0.26425964,0.21392055,0.17454906,0.14326625,0.11873292,0.09990729,0.08607323,0.076596744,0.07431436,0.086503245,0.12260738,0.18521456,0.2616072,0.325433,0.3516811,0.33512974,0.2935941,0.2555355,0.2399324,0.24889319,0.2719246,0.29933807,0.32810795,0.36067107,0.3964516,0.43055606,0.4576181,0.47961903,0.50341535,0.5330375,0.5619661,0.57750124,0.57136256,0.54711336,0.51730955,0.49361858,0.4810334,0.47729254,0.4784633,0.48162174,0.48614165,0.49231824,0.49981174,0.5087247,0.5184343,0.52867645,0.53488034,0.528852,0.50106806,0.44958004,0.38540933,0.32958308,0.30368516,0.31682536,0.36157712,0.41685876,0.4618195,0.48634288,0.49500987,0.49797416,0.50220007,0.50747275,0.51185274,0.5137082,0.51038057,0.4945636,0.45808712,0.40043485,0.3329616,0.27616447,0.24735188,0.2528192,0.28299418,0.32089123,0.35072872,0.36666188,0.37073752,0.36939168,0.36948654,0.37858704,0.40114248,0.4329585,0.45803404,0.45697603,0.42073238,0.35813162,0.29032525,0.23858674,0.21463622,0.2189523,0.24260451,0.27489507,0.30770302,0.33947584,0.37085953,0.40260518,0.43469104,0.468074,0.5029213,0.53409386,0.5517664,0.5476876,0.5228428,0.4863474,0.44873413,0.4157498,0.38882935,0.3676846,0.35227528,0.34175864,0.33466065,0.32891902,0.32425487,0.3233608,0.33247927,0.35668302,0.39295352,0.4274192,0.44192052,0.42672715,0.38636148,0.336452,0.29412365,0.2718341,0.27267632,0.2885518,0.30233783,0.29755187,0.2686901,0.22663397,0.19256736,0.18908443,0.22329803,0.28386822,0.34414124,0.388422,0.41991952,0.4569645,0.5076596,0.5625611,0.60266805,0.6164065,0.60591316,0.5817042,0.5542754,0.5304845,0.51400906,0.509351,0.52048236,0.54797244,0.58208656,0.60675436,0.60805804,0.5871628,0.55690473,0.5336182,0.5257415,0.53729033,0.56846994,0.6160334,0.66711324,0.7056249,0.7206378,0.7143371,0.69670725,0.67975473,0.6723098,0.6787426,0.695546,0.71167797,0.71378946,0.6959791,0.6626153,0.6248059,0.59121454,0.5651743,0.54462427,0.52611375,0.5053711,0.47919202,0.44661275,0.411096,0.38030866,0.3645917,0.3722771,0.40250263,0.44032776,0.46220765,0.4518809,0.41203496,0.36276674,0.3282995,0.3277435,0.3687978,0.44556817,0.53628623,0.6151795,0.6661717,0.69402367,0.71318835,0.73668385,0.76537937,0.79349154,0.8128579,0.82107973,0.82352084,0.8307876,0.849776,0.875746,0.89486265,0.8934805,0.8677289,0.8241845,0.77464896,0.7305231,0.69855803,0.6817007,0.67805195,0.68429154,0.6926322,0.69446325,0.6804002,0.6494654,0.6076841,0.5672936,0.537183,0.52362734,0.5273664,0.5462194,0.5710862,0.59209013,0.6014909,0.59919614,0.5879914,0.5721686,0.5565176,0.5484038,0.5529225,0.56634706,0.5746605,0.5641408,0.5334073,0.49680403,0.47413138,0.47902632,0.5108252,0.5581906,0.6041766,0.6370733,0.6511826,0.647785,0.62954545,0.603489,0.5802404,0.5702073,0.57255834,0.57221967,0.54855293,0.4913536,0.40819588,0.32280362,0.2654482,0.26296178,0.32293227,0.42622027,0.53372866,0.61357147,0.6588475,0.6860297,0.7118127,0.7394135,0.75728494,0.7537034,0.72643876,0.68898463,0.6609113,0.6558368,0.67019254,0.68842834,0.6946101,0.6825555,0.655423,0.6204805,0.58444476,0.5517667,0.5251749,0.5066238,0.498221,0.4989477,0.49925935,0.48280498,0.4367368,0.36889815,0.30405495,0.27194524,0.28519318,0.341611,0.4268644,0.5250866,0.61763746,0.6903813,0.73701596,0.7616572,0.7716784,0.77352434,0.7710505,0.76714534,0.76000065,0.7416482,0.7007101,0.6328597,0.54540205,0.45414042,0.37272096,0.30692032,0.25465372,0.21197325,0.17686766,0.15108164,0.13642336,0.13329738,0.1412834,0.16470234,0.21013169,0.27711082,0.34741294,0.39146328,0.3872021,0.33797446,0.27161995,0.22660579,0.23221265,0.29653272,0.40091145,0.5108385,0.59337664,0.6357797,0.64802665,0.6522749,0.666452,0.6936298,0.72092986,0.7305312,0.7134475,0.6820108,0.66103417,0.6719489,0.71188515,0.75725466,0.77943873,0.76722574,0.7324404,0.69784164,0.6801174,0.67959946,0.6874787,0.6946114,0.6972553,0.6907172,0.6682777,0.623684,0.5634405,0.502011,0.45661303,0.43164048,0.42708257,0.4392712,0.46795106,0.5061901,0.54338956,0.568738,0.57960516,0.5796926,0.5758968,0.57575893,0.58735925,0.61439604,0.6517698,0.68525034,0.70221615,0.6997215,0.6871112,0.676712,0.6772674,0.68755317,0.6988092,0.69781655,0.6776027,0.6421637,0.6059161,0.5834247,0.581907,0.5992484,0.62566835,0.6470843,0.6491435,0.62505406,0.57988095,0.5274758,0.48239812,0.452786,0.43996122,0.43883932,0.4418826,0.4439679,0.44869825,0.466213,0.50380224,0.5562511,0.6075259,0.6381397,0.6367946,0.6052621,0.563256,0.53730685,0.5458196,0.58269095,0.6244212,0.6478801,0.647911,0.63537663,0.6258047,0.6266895,0.6357751,0.64570457,0.65222526,0.65719,0.6645705,0.67340404,0.67548674,0.6617525,0.63127726,0.59281176,0.55970263,0.54111105,0.5408942,0.5565183,0.58274055,0.6106005,0.6325345,0.6425161,0.6390645,0.62247306,0.5970145,0.56995875,0.55013555,0.5399541,0.53228754,0.51277393,0.47122392,0.40667072,0.3303082,0.25913805,0.21313407,0.20334359,0.22704387,0.26538157,0.29848754,0.31533194,0.31962976,0.32198605,0.33479774,0.36503896,0.40836394,0.44689003,0.457163,0.42819098,0.36881232,0.3041573,0.25915903,0.25271395,0.29107112,0.3675854,0.45799628,0.5327752,0.57052994,0.5723695,0.5534778,0.5331399,0.5207044,0.5165477,0.51399034,0.5097299,0.50850433,0.52098584,0.55291265,0.59673446,0.63589025,0.6560035,0.65385884,0.63623625,0.6128467,0.5907894,0.5726295,0.559506,0.55278367,0.5534036,0.5541234,0.53926736,0.49207547,0.41525444,0.3326625,0.279273,0.27473366,0.31856835,0.392109,0.47326216,0.5411539,0.58386564,0.5996981,0.59560555,0.5803361,0.5600923,0.5414049,0.53180283,0.5367456,0.5508341,0.5592951,0.5470516,0.5114534,0.46410897,0.42412993,0.40797126,0.4213116,0.45768133,0.5010219,0.5364755,0.5553774,0.55762196,0.54626656,0.5277881,0.5111545,0.503896,0.50336504,0.49448538,0.46004096,0.39578176,0.31601351,0.24631292,0.20916824,0.21424711,0.25407803,0.30971572,0.36236247,0.40614876,0.4488658,0.5006798,0.56061023,0.6153834,0.6463344,0.64257365,0.6062868,0.557988,0.52454334,0.52524066,0.556096,0.5959967,0.6228643,0.62739325,0.61381286,0.5902806,0.5640669,0.5383717,0.5157474,0.49879667,0.49085212,0.49213246,0.49244687,0.47573808,0.4290979,0.36216435,0.29932746,0.26816142,0.2764682,0.31785277,0.37642768,0.43979064,0.49617577,0.53941804,0.5661091,0.57803303,0.5763038,0.5645394,0.54866236,0.5364428,0.528425,0.5148873,0.48148945,0.42244425,0.34521902,0.26611653,0.19936931,0.15270801,0.12667705,0.11812816,0.12128854,0.12946443,0.13565654,0.13677074,0.13755517,0.15266417,0.1968412,0.26971814,0.3473022,0.39383626,0.38705495,0.3326884,0.2605496,0.20531732,0.1936832,0.23609154,0.32441083,0.4329141,0.52893996,0.5898437,0.61314917,0.61357397,0.60965985,0.61275035,0.6221587,0.6303615,0.6314761,0.6298292,0.6357124,0.65560395,0.6831611,0.70453644,0.70868725,0.6946818,0.6691449,0.6403195,0.61335295,0.5905698,0.5730822,0.56327933,0.56221247,0.56450796,0.5565868,0.5233409,0.46354103,0.3929309,0.3376796,0.3145237,0.32659468,0.3640373,0.41496184,0.46696535,0.51092905,0.5407861,0.55485725,0.55421036,0.5426922,0.52834314,0.52127904,0.5268361,0.5381806,0.53934366,0.51702094,0.47229877,0.420958,0.38450935,0.37869927,0.40586233,0.45451367,0.50527495,0.54271674,0.560931,0.56294733,0.553909,0.5405379,0.53146726,0.5336664,0.5437369,0.54552394,0.521518,0.46760085,0.3975686,0.3334495,0.29273823,0.28150645,0.29425713,0.31857702,0.34442493,0.37194577,0.41084233,0.4668374,0.5315135,0.58464307,0.6102914,0.6069092,0.5855692,0.5589526,0.5347812,0.514646,0.49780044,0.48267075,0.46867934,0.45542428,0.44284615,0.4309443,0.4191986,0.40771487,0.39592937,0.38475743,0.37481868,0.36792126,0.36430776,0.36253753,0.3591822,0.3510681,0.33829388,0.3231947,0.30968153,0.29904464,0.2915896,0.2853606,0.27961975,0.2731987,0.26673695,0.2599931,0.25355363,0.24668974,0.23982461,0.2326438,0.22599812,0.2196076,0.21400379,0.20917605,0.20736653,0.21203719,0.22773777,0.25537542,0.29064122,0.32537666,0.35334036,0.37326494,0.38696286,0.3953966,0.39797044,0.3951318,0.38974217,0.38470075,0.38061583,0.37538254,0.36657608,0.35197434,0.3308157,0.3037986,0.274672,0.24856205,0.23085052,0.22403903,0.22719647,0.23514386,0.24123804,0.24050415,0.23231845,0.21948548,0.20509844,0.1906686,0.17628545,0.16252269,0.15056431,0.14138387,0.13429938,0.12747435,0.11906004,0.10868276,0.09726379,0.08665676,0.07872969,0.0756554,0.079173535,0.090388544,0.108317375,0.13074,0.15430467,0.17605919,0.19249333,0.20052385,0.19817565,0.1870569,0.17181103,0.15780453,0.147668,0.14026743,0.13231169,0.12110718,0.10629951,0.089876264,0.074632525,0.06288029,0.055463467,0.051978547,0.050990503,0.05117776,0.05304097,0.060638666,0.08110751,0.120274656,0.17759635,0.24310379,0.30066252,0.3329854,0.32906273,0.28913176,0.22742184,0.1667444,0.12681074,0.11399565,0.12014357,0.13167912,0.13851033,0.13774198,0.13091163,0.121099494,0.111066826,0.102787875,0.09641569,0.09057381,0.08344219,0.07486941,0.066851415,0.06287099,0.06768354,0.08726794,0.12841345,0.19263117,0.27029243,0.33896455,0.37482238,0.36690733,0.32426623,0.2672685,0.21349287,0.16963577,0.1345134,0.10599226,0.08444285,0.07134653,0.06627322,0.06773349,0.076497965,0.099862516,0.1463297,0.21603768,0.29063162,0.34165618,0.34652993,0.30564585,0.23804337,0.16904853,0.11463973,0.07957258,0.060111735,0.050750885,0.046704646,0.045160476,0.04511018,0.04888608,0.0640541,0.101371236,0.1658113,0.24591291,0.31437847,0.34272256,0.32073566,0.26107568,0.19035232,0.13268107,0.10215921,0.099150516,0.11313651,0.12714964,0.12769136,0.11192754,0.08943719,0.07687273,0.09162173,0.14238894,0.22169465,0.302438,0.35145453,0.34808445,0.29791737,0.22623847,0.16338246,0.1301542,0.13181823,0.15721808,0.18527317,0.19589162,0.18156362,0.14970496,0.11885512,0.10999325,0.1389054,0.20595628,0.29159322,0.36342466,0.39531922,0.38296986,0.3421379,0.29365328,0.24892883,0.20899503,0.1713059,0.13676853,0.108986475,0.090556115,0.08084423,0.07941259,0.09083572,0.12448899,0.18608944,0.26696515,0.3439746,0.39251837,0.4043275,0.39112175,0.37448487,0.36834934,0.37276432,0.37648034,0.3680993,0.34179762,0.3006206,0.25244176,0.20824714,0.1791302,0.17643036,0.2063623,0.2629622,0.3240346,0.35992968,0.35159,0.30183265,0.23157005,0.16386203,0.11258885,0.08012921,0.0625966,0.054700002,0.052380487,0.053709954,0.059798434,0.07562661,0.109246336,0.16657375,0.24369027,0.32301915,0.3805208,0.40099326,0.3886596,0.36324105,0.34561518,0.34596634,0.36204043,0.38364875,0.3986678,0.39786372,0.37895426,0.3470353,0.3119297,0.28482184,0.27630794,0.2923142,0.32751837,0.36276612,0.3738104,0.34737757,0.28978434,0.22136746,0.16183741,0.12093657,0.09774365,0.0863908,0.08072362,0.07694527,0.07394991,0.07538866,0.09073127,0.13456057,0.21386857,0.31693742,0.40834883,0.4510983,0.42778102,0.35532248,0.26891434,0.20564996,0.18672343,0.2158233,0.27778003,0.3478314,0.40300736,0.43447018,0.44779953,0.45376077,0.45870098,0.4632245,0.46591708,0.46457043,0.45326003,0.42359233,0.37130296,0.30365825,0.23855446,0.19598429,0.18655248,0.20402591,0.22698583,0.23214488,0.21045367,0.1754819,0.15424334,0.17008227,0.22812991,0.31369197,0.40048113,0.46274647,0.48590708,0.47103283,0.43255195,0.3894368,0.35631418,0.3383814,0.33231676,0.32976928,0.32233205,0.30523965,0.2796234,0.25103137,0.2275516,0.2185403,0.23252477,0.27083787,0.32005012,0.3551745,0.35349166,0.31118336,0.24332927,0.17345196,0.118213736,0.084056966,0.06816592,0.06434979,0.06677332,0.07510369,0.09748296,0.14702876,0.2311158,0.33924267,0.44268045,0.50762874,0.5142307,0.46547237,0.38493273,0.30497265,0.2572872,0.25962988,0.31019732,0.38593516,0.45818067,0.5061119,0.52582693,0.52352935,0.5087926,0.48923543,0.47163388,0.46046528,0.45552865,0.44886103,0.427845,0.3833423,0.31731004,0.24442673,0.18555295,0.15862624,0.16897057,0.20531897,0.24394913,0.2611773,0.24633467,0.2074538,0.16759463,0.15408449,0.18466477,0.25576803,0.3414881,0.40760586,0.43199387,0.41637602,0.3799554,0.34497663,0.32527286,0.32416794,0.33516455,0.34504962,0.33977118,0.3136448,0.27344957,0.23515576,0.21530251,0.22431238,0.26189062,0.3141942,0.3576187,0.36877248,0.33928785,0.2786726,0.2083637,0.14711061,0.10479485,0.08112692,0.07103629,0.06795613,0.06660737,0.064657785,0.065661766,0.081185244,0.12672596,0.20914364,0.3137147,0.40481928,0.44565454,0.42121014,0.34738287,0.2594352,0.19420786,0.17525141,0.20569909,0.26883155,0.3370174,0.3880378,0.41412127,0.42263302,0.4257159,0.43381572,0.4501483,0.46996042,0.48134658,0.4711422,0.43289945,0.3715525,0.30107424,0.23904778,0.20040502,0.19482507,0.2218533,0.2710327,0.32407543,0.36461592,0.384039,0.38481772,0.377304,0.37582076,0.39062595,0.42068997,0.45138457,0.46377108,0.44763342,0.408208,0.36046323,0.3194143,0.29369298,0.28446293,0.28532007,0.28426003,0.2689202,0.23528452,0.19282319,0.163043,0.16836675,0.21880163,0.30194506,0.38786772,0.44516623,0.45965222,0.43984625,0.4074836,0.38186458,0.3701603,0.3688315,0.37063864,0.3711183,0.3701491,0.36995396,0.37253752,0.37876305,0.3904096,0.41048256,0.44086024,0.47582078,0.5026888,0.50806844,0.48950708,0.4557717,0.42109862,0.39394167,0.3756002,0.36244237,0.35199937,0.34376347,0.33851025,0.33612764,0.33683014,0.34290013,0.35980228,0.39095962,0.4318938,0.46741083,0.48047397,0.4634101,0.42398092,0.37813735,0.33888492,0.30991688,0.28835678,0.2707236,0.25617412,0.245629,0.23946244,0.23729928,0.24041927,0.25413635,0.28479433,0.33171475,0.3806717,0.40929946,0.40108648,0.35741505,0.2953413,0.23783928,0.20330189,0.2005419,0.22449005,0.25691995,0.274393,0.26236627,0.22315212,0.17428823,0.13919331,0.13821782,0.17838085,0.24640186,0.31142673,0.34113944,0.3217435,0.26448295,0.19849604,0.15421687,0.14949542,0.17915358,0.21686661,0.23117451,0.20755719,0.15975721,0.120571285,0.12372186,0.18376671,0.29031035,0.40879598,0.5023454,0.54733616,0.54572195,0.51053613,0.4556273,0.39007577,0.3283464,0.2902675,0.2903,0.32142353,0.35721362,0.3670769,0.33815143,0.28150442,0.2291261,0.21547888,0.25882104,0.3467728,0.44291916,0.5094735,0.52930534,0.5108005,0.47463664,0.43795526,0.4078195,0.38358092,0.36370853,0.34731016,0.33469677,0.3242433,0.31495795,0.3086702,0.3125181,0.3327832,0.36635932,0.39702782,0.40423453,0.37781355,0.3263937,0.27326378,0.24470694,0.25694883,0.3107088,0.3910272,0.4777662,0.55358934,0.61064696,0.6485197,0.67185277,0.6869531,0.6969376,0.6973007,0.6746276,0.6163475,0.524144,0.42215276,0.34701034,0.3272948,0.36564338,0.43940687,0.5159414,0.57036215,0.5923465,0.583751,0.5529542,0.5144462,0.48424208,0.47470567,0.4831854,0.49447963,0.48841175,0.45471156,0.3962685,0.32648957,0.2616678,0.21669759,0.20097798,0.2160386,0.2541879,0.303799,0.35386047,0.39762715,0.43051457,0.45127556,0.46366236,0.47529492,0.4903612,0.50279236,0.50061756,0.4761773,0.43367806,0.38377953,0.33513442,0.28948918,0.24621129,0.20653401,0.17521101,0.15544187,0.14650308,0.14383233,0.14632231,0.15981047,0.19424927,0.25107494,0.31458163,0.35738564,0.35841548,0.31927693,0.2627321,0.21931128,0.20953669,0.2366017,0.28615513,0.33562267,0.3652468,0.3680459,0.35110208,0.3302177,0.32162762,0.33542505,0.37090954,0.4144708,0.44495472,0.4443842,0.41011366,0.35400295,0.2941284,0.24180359,0.20004596,0.16597939,0.13742582,0.113202155,0.09326681,0.07732316,0.06737779,0.06945106,0.09441175,0.14942436,0.2282517,0.30539644,0.35042405,0.34743714,0.30895212,0.2642602,0.24004406,0.24341942,0.2657353,0.29356357,0.3209709,0.34910715,0.3800305,0.41130367,0.43812832,0.46002445,0.48209095,0.50974345,0.5405094,0.5638034,0.5686311,0.55316806,0.52632457,0.500724,0.4845469,0.47807333,0.47787187,0.47995862,0.4835712,0.4885037,0.4956279,0.5042791,0.5144165,0.5250149,0.5337135,0.5335626,0.51566595,0.47421446,0.41529867,0.35624334,0.31972873,0.31960842,0.3545369,0.40739167,0.45691946,0.48903787,0.5033782,0.50836325,0.5119205,0.51665235,0.5216403,0.5259156,0.52657706,0.51645243,0.48589334,0.43168798,0.36230457,0.29713568,0.25525835,0.24661434,0.26549545,0.29676625,0.3240229,0.33930114,0.34307423,0.3408163,0.3386704,0.34280398,0.35901573,0.38804817,0.4206964,0.43868783,0.42584205,0.38034233,0.31727147,0.2601521,0.22763103,0.22621286,0.24897416,0.28200623,0.31274065,0.33640972,0.35539544,0.3738354,0.39425635,0.4182234,0.447233,0.47940707,0.50664455,0.5176195,0.5066068,0.47773293,0.44192633,0.40855038,0.38209078,0.3627361,0.34983388,0.342599,0.3403523,0.3416982,0.3455876,0.35228577,0.3651274,0.3874147,0.4175335,0.4439294,0.450601,0.42733398,0.37915933,0.32299504,0.2784719,0.25796464,0.26332936,0.28508112,0.30630186,0.30953914,0.2869598,0.244887,0.20245369,0.18207751,0.1991133,0.24970047,0.31390265,0.36773777,0.40611568,0.4406629,0.48714152,0.5429228,0.5918527,0.6169093,0.61499995,0.5945763,0.56708145,0.5410683,0.52089673,0.511368,0.5170935,0.54161716,0.578167,0.61080354,0.6202497,0.6015417,0.56623936,0.5351083,0.5212538,0.5282423,0.5541778,0.596502,0.64732915,0.69262105,0.7183521,0.720228,0.7052233,0.68571234,0.67340416,0.6749945,0.68998796,0.70854145,0.716948,0.7058241,0.676987,0.6399816,0.6048462,0.5761358,0.5536642,0.53453785,0.5153022,0.49205717,0.4627711,0.42876515,0.396034,0.37365583,0.3711231,0.39162788,0.42575487,0.45201373,0.44994572,0.4156296,0.36492002,0.32280162,0.30900034,0.332549,0.39086375,0.47093657,0.5530843,0.6197049,0.6649354,0.69486064,0.719929,0.7468014,0.77403337,0.79621935,0.80734116,0.80989033,0.8128632,0.82712275,0.85303026,0.87964153,0.89157134,0.8798496,0.84628075,0.80022144,0.7534713,0.7151291,0.6902254,0.6792404,0.6801665,0.68814874,0.69544786,0.6926532,0.67323214,0.63858294,0.59586924,0.5559909,0.5276799,0.5194189,0.5320359,0.5600224,0.58896035,0.60846776,0.6134975,0.60771686,0.5950694,0.5812609,0.57175016,0.572426,0.5828027,0.5950995,0.59767693,0.5856459,0.5651346,0.54998046,0.5520026,0.57299954,0.6048618,0.63482404,0.6544376,0.661278,0.65645087,0.6400711,0.6143162,0.5876448,0.5734982,0.5774211,0.5885275,0.58207846,0.5391181,0.4589299,0.36329302,0.28411895,0.2533379,0.28681564,0.37578586,0.48610267,0.5798283,0.6385047,0.6711946,0.69747734,0.72639614,0.7511894,0.75793695,0.740814,0.70596623,0.6717825,0.65476966,0.66130036,0.6804692,0.6950409,0.6917076,0.6691796,0.63457114,0.59665877,0.5617084,0.53230304,0.5104146,0.49781743,0.49555483,0.4975153,0.49077752,0.46094158,0.40820694,0.34846213,0.30749473,0.301545,0.3355933,0.4020672,0.4896296,0.5807388,0.6593464,0.7142766,0.7465155,0.7622822,0.76897246,0.7701955,0.7692189,0.76627207,0.75632066,0.7281024,0.67264,0.5917646,0.49900773,0.41141692,0.3392366,0.28314462,0.23752403,0.19784987,0.16410883,0.13983756,0.12794487,0.12942392,0.1467911,0.18557705,0.24786381,0.32130712,0.3789535,0.39428818,0.36100182,0.29798114,0.2404257,0.22276734,0.26651576,0.36793843,0.49813882,0.6135493,0.68412894,0.70813817,0.71123147,0.71758837,0.7341868,0.74445134,0.7318674,0.69172233,0.6427229,0.61002827,0.61318,0.64881545,0.6967821,0.7312546,0.73820734,0.7196947,0.68944985,0.662,0.64515513,0.63864845,0.63854903,0.6415315,0.6452074,0.64343673,0.627938,0.5933216,0.54728025,0.5043742,0.47848713,0.4726039,0.48572597,0.5149053,0.55575013,0.5969674,0.6256941,0.6346012,0.62519956,0.6040011,0.58014184,0.5660863,0.57305366,0.6018124,0.63718355,0.65692353,0.64775926,0.6137752,0.5721175,0.5407619,0.53008205,0.53916126,0.5586522,0.57711536,0.5882887,0.59305567,0.5965766,0.60387856,0.6179831,0.63870734,0.6600117,0.67337745,0.671119,0.65500814,0.63038373,0.604604,0.5799675,0.559019,0.5425136,0.5303898,0.5203521,0.5136945,0.5169797,0.5378364,0.57538605,0.6171116,0.64550203,0.6469515,0.62089723,0.57917565,0.5445896,0.5357582,0.55787593,0.5961685,0.6291836,0.64259386,0.63840747,0.6292288,0.62660027,0.6331167,0.64315075,0.6509219,0.65633756,0.6641709,0.6755206,0.68369013,0.67677647,0.6504777,0.6111496,0.57392734,0.54986984,0.5439043,0.5533123,0.5734656,0.59754485,0.61951536,0.63406676,0.6381112,0.6299773,0.6108837,0.58685374,0.56712073,0.55746984,0.55291027,0.5394519,0.50414366,0.4438295,0.36736307,0.29014033,0.2313601,0.20488584,0.21364401,0.24316917,0.27350152,0.29069433,0.29669717,0.30235454,0.32015705,0.35614136,0.40634784,0.45409155,0.4766288,0.45886257,0.40532032,0.33728048,0.2801921,0.25353634,0.26720163,0.32117316,0.40061125,0.48059538,0.5357328,0.55630875,0.55000013,0.53448135,0.5263162,0.5298168,0.5397631,0.5434188,0.54020447,0.53927153,0.55630684,0.5915484,0.6317311,0.6583655,0.66337496,0.650477,0.6284702,0.60502034,0.583608,0.56597525,0.5532384,0.54658693,0.543832,0.5358355,0.5099563,0.4593632,0.39382204,0.33526742,0.30684966,0.31912783,0.36969408,0.44413593,0.52242106,0.58321667,0.61457676,0.6170487,0.6009095,0.5769146,0.55364656,0.53872466,0.5378943,0.5492286,0.5603044,0.5549065,0.5255991,0.47984496,0.4362944,0.41360453,0.42061326,0.45281878,0.49531546,0.5329574,0.55623883,0.56352264,0.55573153,0.5369139,0.5156907,0.5044515,0.5076675,0.51366943,0.49835512,0.44605651,0.36223516,0.27394292,0.21128415,0.19390489,0.22133334,0.27690476,0.33793786,0.390257,0.43530747,0.48340526,0.5405166,0.599461,0.64318997,0.65442944,0.6281145,0.57740194,0.5305093,0.51274073,0.5306225,0.56839925,0.60274965,0.6186845,0.61441183,0.5964693,0.5718642,0.545901,0.5219442,0.50329036,0.4930257,0.4921321,0.49412403,0.48611915,0.45469475,0.40155742,0.34296748,0.30346966,0.2957904,0.31982458,0.3639358,0.41698602,0.46900666,0.5142624,0.5488621,0.5707237,0.5776163,0.5692281,0.5511332,0.53428966,0.5268927,0.52437544,0.5103429,0.4697753,0.40188327,0.32075363,0.24418949,0.18383138,0.1429166,0.120071955,0.112161905,0.11473914,0.12175689,0.12767637,0.13225307,0.14396274,0.17676611,0.23700637,0.31229064,0.3727021,0.39039674,0.35788873,0.29374865,0.23029624,0.20052278,0.22500457,0.30488756,0.41610613,0.52158403,0.59021753,0.61596626,0.6142865,0.607103,0.6083756,0.61811274,0.629216,0.63201576,0.6276557,0.6245758,0.6353287,0.6602571,0.6887389,0.7051057,0.7015813,0.68097335,0.6521079,0.62361497,0.5997038,0.5817356,0.57048315,0.56754065,0.5712704,0.570671,0.5483613,0.4929519,0.4145901,0.34047747,0.29856697,0.29875162,0.3344253,0.39004925,0.4507071,0.50261825,0.5373812,0.5528632,0.55348396,0.54482645,0.5328602,0.52440673,0.52505505,0.53291565,0.5360281,0.52062815,0.48274255,0.43308887,0.39062545,0.37290406,0.38720465,0.4284213,0.48020387,0.52552986,0.55368024,0.5639879,0.5598018,0.54651546,0.5322105,0.5264318,0.5321283,0.5384621,0.52666235,0.4856584,0.42200956,0.35618392,0.30873406,0.29070377,0.29939875,0.32213032,0.34525815,0.36553648,0.39295492,0.43935585,0.5026794,0.5657158,0.6081417,0.62481374,0.62157243,0.60950136,0.5891464,0.56083304,0.5252078,0.49197015,0.468197,0.45664144,0.45260122,0.45050362,0.44616148,0.43859172,0.42840514,0.41915962,0.41499946,0.41934827,0.42708454,0.42623976,0.40306807,0.35753432,0.30497697,0.2689284,0.2632891,0.28585014,0.3229307,0.36062524,0.39314064,0.42092788,0.44688883,0.4701284,0.4882319,0.49946854,0.50689703,0.5153957,0.52734864,0.5380531,0.53739345,0.5162001,0.47331992,0.41685,0.35935056,0.31060675,0.27477503,0.25086614,0.23633754,0.22839878,0.22512972,0.22496091,0.2282914,0.23970075,0.26805064,0.32092622,0.39476836,0.4728589,0.5337205,0.5667978,0.576333,0.5740575,0.56602615,0.550163,0.5212002,0.47809157,0.42472365,0.36769786,0.31330135,0.26836553,0.24123694,0.24111868,0.2714757,0.32302046,0.3740995,0.40307987,0.40386364,0.38852444,0.37484643,0.37036678,0.3695083,0.3626136,0.345018,0.31790006,0.2832195,0.24218716,0.19827862,0.1617744,0.14909802,0.17318891,0.23188663,0.30159223,0.3495843,0.3523886,0.310879,0.24486046,0.18054743,0.1379607,0.12736724,0.14742184,0.18519354,0.22164227,0.24207886,0.24530827,0.24211036,0.24765587,0.27308264,0.32140222,0.38546333,0.4506515,0.5016534,0.53009564,0.53471905,0.5180674,0.4836106,0.43876144,0.3941795,0.35971102,0.33703932,0.31988445,0.29878438,0.27026916,0.24090646,0.22674017,0.24167931,0.28521183,0.33552524,0.3624111,0.34622094,0.29223967,0.22477458,0.17402577,0.1603409,0.18733494,0.23897932,0.28976384,0.31810698,0.319666,0.30472016,0.29056504,0.29215035,0.31880632,0.36896315,0.4270582,0.46890676,0.4754312,0.44493267,0.39072096,0.33075288,0.27690116,0.23369914,0.20104437,0.17811328,0.16450162,0.15922797,0.15990645,0.16490246,0.17774618,0.20712106,0.25774205,0.3192611,0.36687353,0.37610456,0.3407202,0.27469862,0.20295255,0.14659773,0.119390756,0.124740325,0.15680824,0.19913596,0.23309787,0.24739234,0.2460962,0.2445726,0.25972018,0.29886928,0.35408366,0.40610316,0.4350413,0.4350907,0.4157149,0.393401,0.3757551,0.3600788,0.34030926,0.31786692,0.30078626,0.29595813,0.30136117,0.30650914,0.30148843,0.28748354,0.27889368,0.29097393,0.3226044,0.35223183,0.35320592,0.31536266,0.25193802,0.19039668,0.1554981,0.15844464,0.19266711,0.23979294,0.28091517,0.30743575,0.3221841,0.33277237,0.34579158,0.3652762,0.39230356,0.42079493,0.43764135,0.42911422,0.39356855,0.34362602,0.29980028,0.27652577,0.27732497,0.2958562,0.32307985,0.3507959,0.3726144,0.38264087,0.37673637,0.35681343,0.33444571,0.32619345,0.34095454,0.36955145,0.38964283,0.38362253,0.35291204,0.31526163,0.28871688,0.27924684,0.28016382,0.28126457,0.27607772,0.26465896,0.25049767,0.23800278,0.23115225,0.2355435,0.25795278,0.30069646,0.35394335,0.39579022,0.40494552,0.37541866,0.32021376,0.26057366,0.21250254,0.18082865,0.16231662,0.1512988,0.14377265,0.1381662,0.13488722,0.13588063,0.14587595,0.1726904,0.22220246,0.2897884,0.35685956,0.40066314,0.40987217,0.3909105,0.35985312,0.33019325,0.30898544,0.29841366,0.2960662,0.2931501,0.2776712,0.24315816,0.1948889,0.14937137,0.12758154,0.14509052,0.20162725,0.27491105,0.33061317,0.34076372,0.30248275,0.2362787,0.17506646,0.14580168,0.1575623,0.19511376,0.22672902,0.2252795,0.18753457,0.13817142,0.11365688,0.14156099,0.22501214,0.34099117,0.4510913,0.52334195,0.5461003,0.52894634,0.4854416,0.42632496,0.36032555,0.30517605,0.2804422,0.29397056,0.3296827,0.35680786,0.3493421,0.30355123,0.2412911,0.19982857,0.21078801,0.28011075,0.3811905,0.47178245,0.5200773,0.52138025,0.4923395,0.45389858,0.4190319,0.39095747,0.36860108,0.3499156,0.33378437,0.31920052,0.3062302,0.2975198,0.2993137,0.31841663,0.35393476,0.39225066,0.41159582,0.39614734,0.34794807,0.2858707,0.23741974,0.22466588,0.25791594,0.32939693,0.42044806,0.50876814,0.5804649,0.6302523,0.6613611,0.67968863,0.6918404,0.69815207,0.6896623,0.65118307,0.57416135,0.47095928,0.37429896,0.32159403,0.33121932,0.39234737,0.47389808,0.54373837,0.5836847,0.589894,0.5684461,0.53055024,0.49275807,0.47084796,0.47219786,0.48677978,0.49474654,0.47680047,0.42899868,0.36006376,0.28776142,0.22887693,0.19721507,0.19802666,0.22731376,0.2729336,0.32290015,0.3694438,0.40903035,0.4384942,0.4569327,0.46829548,0.4787848,0.48901156,0.49018362,0.47204074,0.43260518,0.38063666,0.327163,0.27787173,0.23272611,0.19125569,0.15616123,0.13140258,0.118209265,0.11380831,0.11517295,0.12513594,0.15227239,0.2034632,0.27112427,0.33218315,0.3588325,0.33907413,0.28441077,0.22496177,0.19074817,0.19806933,0.24133658,0.29931363,0.34620073,0.36647832,0.3599771,0.3407452,0.3277028,0.33747157,0.37283787,0.4219556,0.46282446,0.48446378,0.49373308,0.510174,0.54377127,0.5866363,0.6201599,0.6310262,0.61907554,0.5932942,0.56360173,0.5361926,0.5131689,0.49647835,0.48802707,0.48852047,0.49036086,0.48001206,0.4451131,0.39021775,0.33504447,0.30537927,0.31347,0.35659552,0.41889885,0.48368147,0.53694695,0.57393646,0.5962094,0.60823756,0.61160415,0.6069535,0.5987217,0.5947344,0.5996433,0.6075937,0.6063564,0.58730656,0.55387926,0.51804024,0.4912611,0.47730604,0.4732336,0.47403976,0.47683474,0.48106447,0.48719206,0.49525943,0.50548416,0.51879615,0.5352791,0.5497373,0.550264,0.5239013,0.46795344,0.39606455,0.33414936,0.30807117,0.33217943,0.40278316,0.49901536,0.5912828,0.65556484,0.68439263,0.6869638,0.6782417,0.66745543,0.65377975,0.62950104,0.58945745,0.53847915,0.49496853,0.4793261,0.5006895,0.5480049,0.5994441,0.63608783,0.6511915,0.6481865,0.6342358,0.6158164,0.59698784,0.58078074,0.56973404,0.5662124,0.56679076,0.56030464,0.53097457,0.47370324,0.40182948,0.34222552,0.31665322,0.3305428,0.37379825,0.43059662,0.4857936,0.52965426,0.55846053,0.57453585,0.581059,0.58022493,0.5744993,0.56968445,0.5712929,0.57739335,0.5768091,0.5581668,0.5202327,0.47475997,0.43839076,0.4253674,0.43992558,0.47678193,0.52053505,0.55669266,0.57540506,0.57665676,0.56350446,0.543169,0.5248425,0.5174362,0.5199828,0.519219,0.4977549,0.44930038,0.38335887,0.31964305,0.27530953,0.2592626,0.26861167,0.2924864,0.31859085,0.3445694,0.3788689,0.43204442,0.5011072,0.568464,0.60872215,0.6065941,0.5647935,0.50845444,0.47034585,0.47256383,0.5114874,0.56320435,0.60192674,0.6147918,0.6045263,0.58119726,0.55441946,0.53036547,0.51312405,0.5081718,0.5209444,0.55219907,0.5903724,0.61610687,0.6133168,0.58496493,0.54780644,0.5218236,0.5150953,0.5296204,0.5630469,0.6117826,0.66327614,0.7022576,0.7177672,0.7118787,0.6945774,0.6784823,0.67245126,0.68016744,0.6964918,0.710114,0.70845884,0.68753743,0.65243655,0.6142788,0.5811206,0.55595726,0.5362727,0.5181282,0.49708703,0.47030103,0.437143,0.40097964,0.369153,0.35215056,0.35874188,0.38791433,0.4233284,0.43990552,0.42122033,0.37230572,0.31576315,0.27670518,0.27197435,0.30751398,0.37874833,0.469045,0.5567107,0.6243846,0.67037153,0.70260555,0.73216367,0.7625642,0.7911896,0.81128,0.81957334,0.82116556,0.8268414,0.8445535,0.8697669,0.8886626,0.8872602,0.8615709,0.8181369,0.7687524,0.72445774,0.69118553,0.67121387,0.663595,0.6673391,0.6769023,0.68363076,0.6759599,0.6500223,0.6095776,0.56645364,0.5308836,0.51217824,0.5131323,0.5319802,0.5581596,0.5809774,0.5923433,0.5921933,0.5823531,0.5663168,0.54830796,0.5361065,0.53485036,0.54135966,0.5421936,0.5257086,0.49204752,0.4562409,0.43654343,0.44520125,0.48093724,0.5329992,0.5841103,0.6215221,0.6384102,0.6365032,0.6195786,0.595931,0.5764403,0.57107544,0.5774489,0.5787229,0.5529701,0.4903572,0.39998809,0.30772674,0.24551766,0.24126653,0.3025204,0.40919614,0.52080876,0.6046278,0.6534961,0.68321913,0.7090616,0.73430204,0.7520006,0.75842685,0.7534837,0.74015504,0.71717596,0.68501353,0.6450004,0.60347086,0.565087,0.5322847,0.50389004,0.47809434,0.45434368,0.43257332,0.41365823,0.399205,0.3923149,0.3950012,0.40202066,0.40128195,0.37928215,0.33630586,0.2869105,0.25409064,0.25239587,0.28501245,0.34476516,0.42018595,0.4977149,0.5648007,0.61519504,0.6497314,0.67388636,0.6922657,0.7073956,0.719748,0.72649175,0.7206702,0.69372445,0.6420098,0.57085395,0.49187183,0.41708016,0.35322586,0.30177072,0.26086554,0.22882243,0.2055236,0.19102389,0.18503092,0.18733428,0.20282377,0.23896933,0.2987939,0.36866066,0.42234543,0.43458462,0.40135166,0.34112334,0.2867994,0.26513878,0.28655568,0.33883283,0.39945224,0.44883943,0.4827853,0.50740474,0.5301494,0.5535676,0.57748693,0.60113364,0.6210452,0.6305608,0.62371904,0.60205835,0.57416004,0.54924804,0.5288613,0.5077727,0.48010576,0.44719958,0.41590342,0.39317524,0.38006696,0.37414885,0.37422743,0.38363317,0.40552843,0.43607852,0.46110824,0.4625982,0.4290994,0.36406004,0.28502667,0.21712641,0.18111938,0.18405455,0.2153945,0.2554576,0.28772536,0.3077325,0.320905,0.33613363,0.3601538,0.39608812,0.4413606,0.48656917,0.51773953,0.52438414,0.5068772,0.47570452,0.44405523,0.4197178,0.40391436,0.39417294,0.38829637,0.3860469,0.3884152,0.3963865,0.40964255,0.42839637,0.45372716,0.4861172,0.5194748,0.5415857,0.5399282,0.51273817,0.46977243,0.42717502,0.39727053,0.38509443,0.38630357,0.38911495,0.37818706,0.34266487,0.28290048,0.21182181,0.15124856,0.12472961,0.14658648,0.21056743,0.28676775,0.33656085,0.33541596,0.28640154,0.21290873,0.14073706,0.085527755,0.050752465,0.032770023,0.025446588,0.023520486,0.02371992,0.025770193,0.034087837,0.05932957,0.114700295,0.20449905,0.31401357,0.41249776,0.47254646,0.48707703,0.47111022,0.44720268,0.43311667,0.43679285,0.45785746,0.4883317,0.5167873,0.53461695,0.5417174,0.54474187,0.55183476,0.56756186,0.59089977,0.61493105,0.62937003,0.62667865,0.6074639,0.5798784,0.5531005,0.5306644,0.50991863,0.48610365,0.45874715,0.4334844,0.41867673,0.41705874,0.42232683,0.42428437,0.42017305,0.41676268,0.4215026,0.42940295,0.42572573,0.39924392,0.35509142,0.31009343,0.2801813,0.27212885,0.2853803,0.31685087,0.36087987,0.4084976,0.44964862,0.47851297,0.4969736,0.5115659,0.5289853,0.55086476,0.5748661,0.59680194,0.614443,0.62698126,0.63383573,0.6332088,0.6240833,0.6070095,0.58585936,0.5646538,0.5477955,0.5353437,0.52562624,0.51432776,0.50092787,0.48746035,0.47836074,0.47500995,0.47557744,0.47604442,0.47323254,0.46556857,0.45310497,0.43678996,0.4178256,0.39741507,0.3777038,0.362705,0.3560954,0.3579739,0.36433694,0.37131473,0.37878844,0.38877714,0.4019985,0.41602623,0.42823514,0.43707085,0.44341633,0.44876334,0.4555211,0.46410906,0.4725646,0.47552752,0.4686551,0.45088446,0.42623493,0.40031934,0.37828425,0.36265114,0.35406354,0.35117182,0.35147238,0.35063913,0.34275183,0.32068387,0.28119117,0.22958905,0.18236749,0.15947376,0.1742407,0.22378695,0.29116717,0.3535845,0.394863,0.41093695,0.4090723,0.40075937,0.39522824,0.3947564,0.3946947,0.38722467,0.3681244,0.33986506,0.30938295,0.28161135,0.2567331,0.23145922,0.20332253,0.17252636,0.14236747,0.11718432,0.10022712,0.09122461,0.08695692,0.08356183,0.0795591,0.075764254,0.073637635,0.073133506,0.073001064,0.071799256,0.06929111,0.067031585,0.0690582,0.08237287,0.114535846,0.16948317,0.24293347,0.3239956,0.40030956,0.46295595,0.50714034,0.52995193,0.53136,0.513794,0.48283067,0.44308588,0.39870694,0.3523852,0.3067005,0.26250568,0.22075742,0.18430962,0.1580749,0.14488019,0.14199848,0.14224647,0.13901399,0.13011967,0.11816913,0.107563086,0.10144642,0.10000054,0.10122141,0.10270974,0.104820885,0.11267534,0.1372964,0.18796961,0.26488993,0.35270604,0.43219218,0.49085808,0.53140163,0.56136304,0.5854471,0.6020076,0.6096813,0.6108668,0.61011475,0.6100128,0.6095472,0.60588765,0.59633565,0.5784418,0.5507005,0.51374465,0.47254536,0.4342682,0.4044224,0.38330075,0.36756158,0.35385144,0.34146407,0.3317112,0.3260233,0.3238903,0.32150006,0.31187284,0.28791735,0.24795245,0.19951366,0.15847515,0.14163451,0.1580529,0.20309544,0.26179263,0.3175288,0.36134112,0.39299276,0.41638437,0.4342042,0.44694543,0.45469967,0.4580622,0.4580122,0.4556216,0.45237866,0.4502763,0.45065677,0.45371273,0.45779237,0.4606801,0.46038023,0.45722583,0.45351872,0.4524442,0.45485404,0.45895028,0.46140566,0.4605608,0.45682645,0.4519836,0.44701695,0.44144857,0.43334636,0.42042193,0.40186247,0.3787754,0.35356042,0.32729027,0.29993525,0.27158344,0.24622001,0.23256643,0.2437952,0.2895043,0.36795726,0.4599184,0.5397603,0.5897987,0.6120441,0.61941224,0.62287116,0.6231687,0.61586046,0.5990545,0.5755084,0.5503776,0.52726316,0.50787336,0.49344322,0.48606834,0.48896894,0.50204474,0.5206942,0.5362887,0.5431426,0.54101443,0.53479356,0.53109974,0.53689605,0.5572058,0.5911959,0.6299291,0.66123754,0.6772639,0.6786833,0.6706267,0.65773386,0.6410442,0.619862,0.5937765,0.5652873,0.5391567,0.5202356,0.50983804,0.50534797,0.5015879,0.49354792,0.47762665,0.45434645,0.42876932,0.40883175,0.39843395,0.39523348,0.39283836,0.38794652,0.37905788,0.36431515,0.33887526,0.30382225,0.2678419,0.24541187,0.24526735,0.2696534,0.31585214,0.3802791,0.4555436,0.5301652,0.59161663,0.6324505,0.65215665,0.6571552,0.6583262,0.6682407,0.6940116,0.7329108,0.7735546,0.80464476,0.8210742,0.8241761,0.81689817,0.8016054,0.7801916,0.7559862,0.73248744,0.7128119,0.69708925,0.68417853,0.6718947,0.66071075,0.65231603,0.647943,0.6455094,0.64083797,0.6317,0.6186548,0.6047464,0.5929787,0.58688605,0.5888392,0.59793204,0.60949755,0.6182763,0.62156004,0.6183489,0.607748,0.5895532,0.56655836,0.5439451,0.5265074,0.5163954,0.51303715,0.5140145,0.51652414,0.5197025,0.5265768,0.5421607,0.5685877,0.6009727,0.629085,0.64373213,0.64115,0.6235072,0.5948147,0.5596986,0.5220172,0.48545957,0.45158935,0.41949403,0.38513425,0.3433876,0.29200518,0.2364161,0.19099645,0.17260544,0.19156021,0.24518506,0.32149836,0.4065319,0.49041757,0.5663404,0.6277807,0.6697283,0.69208723,0.70110273,0.70298004,0.6998516,0.6904953,0.6765978,0.663465,0.654494,0.6473612,0.6353927,0.61505574,0.58750093,0.5578125,0.53021604,0.5071427,0.4892788,0.47669294,0.46871063,0.46294174,0.45488438,0.44135535,0.42220238,0.4026389,0.38814318,0.38448772,0.39447486,0.41933367,0.45596,0.49840793,0.54075736,0.5794676,0.61274004,0.6376064,0.6496237,0.64516187,0.6234128,0.5879149,0.54404765,0.4969858,0.44882914,0.3998601,0.35030082,0.30087757,0.25288385,0.20792986,0.17038031,0.1450573,0.13442193,0.13462335,0.13926922,0.14434083,0.15205012,0.16524865,0.18221258,0.1935848,0.19127946,0.1736693,0.1495374,0.13216542,0.13822617,0.18240313,0.27038035,0.38908386,0.5090091,0.601419,0.655832,0.68302494,0.70058256,0.7204029,0.7456391,0.77645475,0.8116502,0.84801453,0.87916327,0.8989382,0.9026279,0.88857275,0.8577461,0.81490797,0.7666237,0.7182033,0.67390615,0.63796896,0.6159021,0.60985523,0.6169562,0.63131756,0.6476501,0.66333526,0.67479235,0.6780033,0.6673587,0.64053655,0.600055,0.55663854,0.5244723,0.51461285,0.52735656,0.5542242,0.5832226,0.60576904,0.6170137,0.61660933,0.60613656,0.58916974,0.5676086,0.5439084,0.5201275,0.49972495,0.48304006,0.4704673,0.46537498,0.47776422,0.5151538,0.57303184,0.63180286,0.6690653,0.67363644,0.6517761,0.6197203,0.5915188,0.5713947,0.555515,0.53887135,0.520001,0.49988195,0.47897372,0.45565817,0.4290084,0.39974323,0.37045243,0.34274873,0.3192142,0.30520183,0.31045297,0.34152028,0.39508376,0.455248,0.50465655,0.53416055,0.5474523,0.5527961,0.55614567,0.55871177,0.5595893,0.55867153,0.55471283,0.5471774,0.535994,0.5252061,0.51926225,0.520241,0.5252689,0.52926713,0.52946633,0.52667856,0.5235017,0.52092624,0.5170726,0.50962096,0.4971801,0.48123097,0.46455857,0.4514171,0.44611976,0.45088848,0.46440008,0.48073137,0.4936688,0.49788085,0.4916011,0.47389635,0.44561997,0.40830648,0.3658043,0.3229376,0.28460613,0.25294712,0.22608341,0.19941235,0.17071956,0.14480536,0.13192265,0.13916306,0.16307163,0.19081013,0.21022654,0.21711652,0.21592176,0.21346731,0.21472003,0.21941443,0.22223568,0.21533263,0.19491445,0.16591144,0.13966732,0.12727027,0.13401897,0.16028465,0.20196748,0.25155434,0.29818496,0.33304405,0.35206616,0.35668358,0.35044345,0.33932516,0.3317103,0.33562347,0.35269138,0.37579355,0.39483848,0.40443859,0.40650806,0.40536705,0.4028391,0.39758754,0.38830504,0.37553617,0.3614595,0.34797144,0.3359094,0.32521114,0.31554607,0.30680978,0.2977467,0.28633976,0.27058092,0.251465,0.23285438,0.21992455,0.2170673,0.2266844,0.24809976,0.27582154,0.30093452,0.31569993,0.31790474,0.31063405,0.29808828,0.28277734,0.26577312,0.24862517,0.23368233,0.22275633,0.21550888,0.20953898,0.20237072,0.19415927,0.18865758,0.19073206,0.2025144,0.22073852,0.23909576,0.2517241,0.2563169,0.25278732,0.24221872,0.22576474,0.20517327,0.18187891,0.1565021,0.12937842,0.10204498,0.07784963,0.060596164,0.053007487,0.055478115,0.06600442,0.08071059,0.09607417,0.111465655,0.1296974,0.15376085,0.18277872,0.21121006,0.23291872,0.24525607,0.24988122,0.24991514,0.24742179,0.24348699,0.2387787,0.23447986,0.23078747,0.22722112,0.22224407,0.21497393,0.2053891,0.19451469,0.18356992,0.17355792,0.16508593,0.15859543,0.15367132,0.14929996,0.14367545,0.13622111,0.12755622,0.11967626,0.114223264,0.112293966,0.11435115,0.12003955,0.12811397,0.13638781,0.14314587,0.14717133,0.14780998,0.14400119,0.1350747,0.121307075,0.104596235,0.0875342,0.07232052,0.05979784,0.049542595,0.040730994,0.032892276,0.026294338,0.02142934,0.018707922,0.018046968,0.018985016,0.020637244,0.022034064,0.02262322,0.02268807,0.023188232,0.024642736,0.026503047,0.027221143,0.025777487,0.022339417,0.018432118,0.015897598,0.016622826,0.021829644,0.031576745,0.04399572,0.056049567,0.06499228,0.06978186,0.070933945,0.06977301,0.0676733,0.06597463,0.0655187,0.066379465,0.0676013,0.06814408,0.06747646,0.065969326,0.06407291,0.06193546,0.05927299,0.055931225,0.052084114,0.048142638,0.044470575,0.041210953,0.03841096,0.03607008,0.03420371,0.032656062,0.031077588,0.029084453,0.02655811,0.0237877,0.021259092,0.01939272,0.018406233,0.018284604,0.018809238,0.0195134,0.019945068,0.019813798,0.019145245,0.01805457,0.016653439,0.014998831,0.013198369,0.011421538,0.009843543,0.008572898,0.0076133967,0.006906103,0.006395286,0.0060960036,0.0060561094,0.006268536,0.006593115,0.0068210787,0.0067972173,0.0065024723,0.0060083014,0.005393755,0.004709124,0.0039952267,0.0032997874,0.002665893,0.002116094,0.001657783,0.0012898124,0.0010083852,0.00079846615,0.0006404563,0.00051390677,0.00040806585,0.00031926986,0.00024941523,0.000199927,0.00017002686,0.00015535917,0.00015071534]