[4.8047914E-05,4.098383E-05,2.7572829E-05,1.49507405E-05,7.012904E-06,3.658798E-06,2.5343952E-06,2.1750207E-06,2.211671E-06,3.6715326E-06,9.344895E-06,2.4435278E-05,5.8580084E-05,0.00013557401,0.00030204005,0.00062477076,0.0011525258,0.0018808786,0.002736535,0.0036351613,0.004563954,0.005666169,0.0072105504,0.00945499,0.012431398,0.015828827,0.019033646,0.021392817,0.02259735,0.02295573,0.02325763,0.024190964,0.02582375,0.0276032,0.028930867,0.029665893,0.030217903,0.031181162,0.03298675,0.03568435,0.038944762,0.042201027,0.04499915,0.047383826,0.049949255,0.053345095,0.05762935,0.062109604,0.06588296,0.068483986,0.070070915,0.071081676,0.0718535,0.07249414,0.07304068,0.073576234,0.074256726,0.07506827,0.07579685,0.07606729,0.075751,0.0750059,0.07427471,0.07392944,0.07420323,0.07507502,0.07634611,0.077679195,0.07878337,0.079570316,0.08017712,0.08078157,0.0814602,0.082200795,0.08308366,0.08430866,0.08615268,0.08876383,0.09230804,0.09690479,0.10289464,0.11002933,0.11748264,0.12346522,0.12690021,0.12770343,0.1272075,0.12645333,0.12581788,0.12489166,0.12360948,0.122602485,0.12292653,0.12526615,0.12930414,0.13386987,0.13740687,0.13855742,0.13613915,0.12900975,0.11658811,0.09999753,0.082812466,0.06966763,0.06343996,0.0632344,0.06566641,0.068521015,0.07357367,0.0844472,0.10246513,0.12326088,0.14039733,0.14951426,0.15177877,0.15078779,0.14982015,0.14961566,0.14966975,0.14925282,0.14826094,0.14694768,0.1457883,0.14520364,0.14539833,0.14611842,0.1465287,0.1459939,0.14447077,0.14295839,0.14206682,0.14178653,0.14124024,0.14026695,0.1393752,0.13940378,0.14019896,0.14081097,0.14022559,0.13848989,0.13649863,0.13537079,0.13546695,0.13656455,0.13802588,0.13930859,0.13968147,0.13845222,0.13515002,0.13033044,0.12541561,0.12229169,0.12167978,0.12268869,0.12291425,0.12074498,0.11673827,0.11345907,0.11306157,0.11515195,0.11763976,0.11863285,0.11849562,0.11842763,0.11933645,0.1205359,0.12112743,0.1205692,0.11957703,0.11932888,0.12113706,0.12515986,0.13021044,0.1336797,0.13297008,0.12637071,0.11402058,0.097711705,0.080651335,0.06619815,0.056658547,0.052314248,0.052151617,0.055228885,0.062006366,0.07324765,0.08827874,0.10342058,0.11402128,0.11725045,0.11429366,0.10880041,0.10425904,0.102025814,0.101674825,0.10231355,0.103484474,0.10521587,0.10751333,0.110191934,0.11287028,0.115384124,0.117785506,0.120403446,0.123169504,0.12537949,0.12561586,0.12291541,0.11761584,0.11153734,0.10676562,0.10463947,0.105406344,0.1087723,0.113954626,0.11970135,0.12422719,0.12632729,0.12594505,0.12433494,0.12276227,0.121923536,0.12157774,0.121082574,0.11955923,0.11670133,0.113499194,0.11246977,0.115908764,0.12359777,0.13197489,0.13657756,0.13577048,0.1320454,0.12971197,0.13073123,0.13365524,0.13532376,0.13406332,0.13033886,0.12581064,0.121805646,0.11879132,0.11669832,0.11547927,0.11563491,0.118148625,0.123301715,0.12984885,0.13459843,0.13462235,0.1281822,0.11610522,0.100369364,0.084392905,0.07171359,0.065241665,0.06507691,0.06849679,0.07227353,0.07603375,0.08261737,0.09475955,0.11108186,0.12646231,0.13555579,0.13670367,0.13177808,0.12426386,0.11702407,0.11180794,0.10918105,0.10879514,0.10961642,0.110489495,0.11051348,0.10929974,0.10710162,0.10485508,0.10431996,0.1071049,0.11389992,0.123146854,0.13213514,0.13801473,0.1396541,0.13718475,0.13182199,0.12520292,0.11978055,0.11787307,0.12075412,0.12743138,0.13575996,0.14335608,0.14893252,0.1517967,0.15198009,0.14974467,0.14568885,0.14025937,0.13395375,0.12742151,0.12168672,0.11754564,0.11511016,0.11386994,0.113785654,0.116030686,0.12203363,0.13158338,0.14186661,0.14948823,0.15278703,0.15268661,0.15087092,0.14821953,0.14477278,0.14042525,0.13556321,0.1304801,0.12562983,0.121491335,0.11877087,0.1176731,0.117345534,0.11605678,0.11156449,0.10243455,0.08875208,0.07323793,0.05997541,0.052289616,0.050125346,0.05076458,0.0517337,0.0539673,0.060925897,0.07495182,0.09373608,0.11144632,0.12266312,0.12608403,0.12408712,0.12017404,0.116411686,0.11327886,0.110373,0.10733062,0.10393837,0.10029415,0.096696,0.09363166,0.09154733,0.090907425,0.09228566,0.09624294,0.102799475,0.11083868,0.118359625,0.12347869,0.12554227,0.1253301,0.124369465,0.12423197,0.12610728,0.13055296,0.13709839,0.14404346,0.14926916,0.15118556,0.14977945,0.14617462,0.14214374,0.1390583,0.13759683,0.13763891,0.1383226,0.13860808,0.13763982,0.13599207,0.1363905,0.14491235,0.17001311,0.2181828,0.2858082,0.35540923,0.40173146,0.40751764,0.37362602,0.31791583,0.2622242,0.221913,0.20029826,0.1918271,0.18761605,0.18244882,0.17638274,0.1727076,0.17279941,0.17649503,0.18440615,0.20195127,0.23387092,0.27751908,0.31916663,0.34425497,0.34918115,0.34343973,0.33826756,0.33524778,0.3273365,0.309517,0.28583002,0.26608863,0.25560796,0.251717,0.24816167,0.24338573,0.24153106,0.24697928,0.2596599,0.27506784,0.28794098,0.2936854,0.2893635,0.2744832,0.25161695,0.2248799,0.19737685,0.17064905,0.14575909,0.1244377,0.10834072,0.09859545,0.096212484,0.103812866,0.1236181,0.15595591,0.1968338,0.24267149,0.2892566,0.331396,0.35725304,0.35529938,0.3225764,0.27265778,0.22850056,0.2087122,0.21645339,0.23973466,0.26267475,0.27513584,0.27673045,0.2711862,0.26214945,0.25013545,0.23547696,0.22148478,0.21922451,0.24431543,0.30405417,0.38226023,0.44178104,0.44948915,0.40272942,0.32967713,0.26545724,0.22721015,0.21178298,0.20712562,0.20493083,0.20241745,0.19997317,0.1978022,0.19519998,0.19209278,0.1911118,0.19799684,0.21593116,0.23934121,0.25326654,0.24412084,0.2122119,0.17420585,0.15265912,0.16028415,0.19388635,0.23761718,0.2755308,0.29858038,0.3074038,0.3061643,0.30014077,0.29339492,0.289683,0.2893372,0.28888187,0.28357697,0.27207163,0.25842163,0.24794604,0.24438827,0.24626063,0.25005987,0.25110152,0.24838774,0.24363184,0.24057572,0.24012126,0.2393945,0.23386998,0.2220688,0.20651864,0.19103485,0.17818272,0.17238308,0.18026423,0.20585941,0.2406432,0.26682404,0.26991034,0.25279942,0.2307157,0.21801223,0.21578567,0.21720366,0.21609254,0.2133662,0.21122979,0.2092063,0.20485061,0.19930126,0.19751208,0.20462118,0.22404356,0.25962457,0.3122766,0.3738062,0.42304257,0.44018006,0.41997698,0.37792072,0.33450198,0.30311796,0.28367987,0.27023247,0.256805,0.24134655,0.22534506,0.21306008,0.20960236,0.2186833,0.240044,0.2706133,0.30542862,0.3393121,0.36472932,0.3738364,0.36290404,0.33722267,0.30887315,0.28912893,0.28243914,0.28604317,0.2936192,0.2988021,0.29660854,0.2845228,0.2633219,0.23799932,0.21583669,0.20192242,0.19532607,0.1904971,0.18334804,0.1760966,0.17513962,0.1847846,0.20209955,0.21900982,0.2274869,0.2243716,0.21148682,0.19321556,0.17394769,0.1562859,0.14169328,0.13177414,0.13030334,0.14116907,0.16585927,0.2006848,0.2404265,0.27816963,0.30834362,0.32338145,0.32076716,0.30093277,0.2711194,0.23815018,0.21162988,0.19834304,0.2016234,0.2152222,0.22861068,0.23357433,0.23034863,0.22381943,0.21576566,0.20504044,0.19471347,0.2010625,0.24094103,0.31430185,0.39159992,0.43633926,0.43041024,0.38786456,0.33559075,0.2928618,0.26322865,0.24276948,0.22878933,0.22058834,0.21746266,0.21651691,0.21425755,0.2084506,0.20121975,0.1989962,0.20930159,0.23144229,0.25442046,0.26090696,0.24336292,0.20732357,0.16793905,0.1357313,0.11541951,0.10943621,0.121206544,0.15000643,0.18470854,0.20984411,0.21634142,0.21017455,0.20384584,0.20600438,0.21471655,0.22472225,0.23287016,0.23971231,0.24382259,0.24110128,0.22844525,0.20930123,0.19296788,0.18798886,0.19610618,0.21168636,0.2273169,0.2382182,0.24320626,0.24187787,0.23294693,0.21466273,0.18916462,0.16484268,0.15615788,0.17019315,0.20023002,0.22312069,0.22191842,0.19422092,0.15645729,0.1235997,0.103574,0.09445729,0.09300453,0.09591842,0.100084364,0.102679074,0.102363296,0.10041071,0.09881982,0.10140672,0.11531197,0.15422527,0.22688693,0.32490283,0.41358945,0.45481095,0.43187794,0.36485747,0.29001352,0.23507147,0.20557176,0.19319224,0.18881695,0.18935436,0.19647782,0.21116464,0.2306435,0.24868482,0.26173887,0.27193823,0.28801712,0.3148462,0.34831682,0.3712429,0.3673484,0.331126,0.27684888,0.22808312,0.2046281,0.21084444,0.23705621,0.26912794,0.29574075,0.3122381,0.3174939,0.31314406,0.29942843,0.27612668,0.24435441,0.21204156,0.19228828,0.19504048,0.21902211,0.25085756,0.2744737,0.27941945,0.26705745,0.24771719,0.23396651,0.23115909,0.23401569,0.2332228,0.22495265,0.21506481,0.21059461,0.21180178,0.21253769,0.21070163,0.21439074,0.23277538,0.2654078,0.2965895,0.3113893,0.30390397,0.2828927,0.25929275,0.2423033,0.2347558,0.23449929,0.23470034,0.22850406,0.2154907,0.20252185,0.1966958,0.1968107,0.19548364,0.19077958,0.19722189,0.23549919,0.31234992,0.40287018,0.46727356,0.47756097,0.43968895,0.38057026,0.32755795,0.2926836,0.27715465,0.27756736,0.2889276,0.3024453,0.3075321,0.2965469,0.2703487,0.23862712,0.2151425,0.21066475,0.22367255,0.24167122,0.24580376,0.22825253,0.19379532,0.1578862,0.13050404,0.114724874,0.10906585,0.115233034,0.136261,0.17117538,0.21165346,0.24595988,0.26549518,0.269552,0.26390326,0.2567685,0.2535064,0.25355852,0.25108013,0.23847203,0.21350789,0.18289119,0.16151516,0.16272587,0.18909846,0.22925471,0.26548734,0.2854711,0.28769788,0.27979615,0.27010682,0.26415613,0.26254305,0.26534912,0.27280566,0.28689206,0.30538556,0.32081026,0.32086602,0.30044642,0.26585767,0.23344283,0.21480133,0.21047013,0.2112714,0.20971543,0.20503014,0.20147358,0.20118845,0.20148905,0.1963274,0.18166165,0.16020976,0.14510553,0.1576273,0.21473567,0.3127192,0.41969147,0.49236345,0.50330156,0.4587103,0.38852206,0.32321456,0.2779733,0.2526432,0.24140926,0.23780592,0.23744218,0.23654307,0.23314075,0.22701456,0.22097431,0.22019291,0.229773,0.24804504,0.2648827,0.26457563,0.23980385,0.19581269,0.14924128,0.113741726,0.09533477,0.091624975,0.09839528,0.11063612,0.12355465,0.13317992,0.1400331,0.14779253,0.1597629,0.17329274,0.18341021,0.18771106,0.19135998,0.2016503,0.22229528,0.24887721,0.27310336,0.2877946,0.29209456,0.29014528,0.2887846,0.29140493,0.29599968,0.29367694,0.27582604,0.24086533,0.19997549,0.17057355,0.16556154,0.18541504,0.2210865,0.26134843,0.29676998,0.31878927,0.32164633,0.3055041,0.27975592,0.2561333,0.24294466,0.2398036,0.24201094,0.2434743,0.24073787,0.23278725,0.22216892,0.21240045,0.20586567,0.20182203,0.2019186,0.21481697,0.25318012,0.31871054,0.39180163,0.440847,0.4455134,0.4124938,0.36600146,0.3284454,0.30671993,0.29724893,0.29300678,0.28941283,0.28291616,0.27222958,0.25830394,0.2442336,0.23372458,0.2301202,0.23678781,0.25329956,0.27427936,0.28878456,0.28975973,0.27731872,0.25959176,0.24353701,0.23227717,0.2257516,0.22561067,0.23460262,0.25283036,0.2750448,0.29414213,0.30651775,0.31411263,0.32059106,0.32694414,0.33151886,0.33271706,0.33176088,0.33076876,0.33119366,0.33206198,0.3314425,0.32682166,0.3172704,0.30466166,0.294706,0.29343763,0.30266353,0.3175046,0.32958758,0.332737,0.32599846,0.31380323,0.30262938,0.29880342,0.3022264,0.30596316,0.29951864,0.28360477,0.27465776,0.29392335,0.34389058,0.39943805,0.42844906,0.41886345,0.38676038,0.35465196,0.3332998,0.32263148,0.32562304,0.3454462,0.37548462,0.39372692,0.38496968,0.35212374,0.31675294,0.2944542,0.28766868,0.28784323,0.28873542,0.28927752,0.29047728,0.29169562,0.2899911,0.2832208,0.27196458,0.26030242,0.25348485,0.25464728,0.26283446,0.27323195,0.28066185,0.28235576,0.2802272,0.2787299,0.28193697,0.29003128,0.29997525,0.3079301,0.31209883,0.31272742,0.31068948,0.30606332,0.2980931,0.28647527,0.27318168,0.26301432,0.26097608,0.26800558,0.2789141,0.28602776,0.2846694,0.27665523,0.26796985,0.26511893,0.27081835,0.28324798,0.296681,0.3058472,0.30850136,0.3061426,0.30065522,0.29260767,0.28185645,0.27032164,0.26227033,0.26144764,0.26763394,0.27657542,0.28367946,0.2873968,0.28942922,0.2920408,0.29628167,0.30191562,0.30842248,0.3151189,0.32094404,0.32433304,0.32338095,0.31671804,0.30445802,0.28927168,0.27529112,0.26619413,0.26348695,0.2666732,0.27427116,0.28380468,0.29231322,0.29671583,0.29581845,0.28998396,0.28093407,0.2699643,0.25851855,0.24774002,0.23894733,0.23230042,0.2270761,0.22195126,0.21687365,0.21307658,0.21207602,0.2133215,0.21411806,0.21173276,0.20592499,0.19946446,0.19517802,0.1944117,0.19602293,0.19922423,0.2031753,0.2076221,0.21108961,0.21264035,0.2120802,0.21071053,0.20945966,0.2084281,0.20674908,0.20422447,0.20147271,0.19966678,0.1998447,0.20347744,0.21325745,0.23114908,0.2562387,0.28302124,0.30540097,0.31957588,0.32539275,0.32301947,0.31223843,0.29450628,0.2755685,0.263917,0.26493955,0.27756056,0.2945305,0.30870488,0.31501353,0.31288445,0.30261013,0.2882776,0.27507684,0.27022198,0.27577463,0.28918806,0.30309546,0.3124483,0.3154728,0.3139107,0.3092746,0.30251142,0.29476103,0.2875155,0.2816306,0.27583948,0.26840279,0.25868043,0.24858654,0.24153168,0.24128728,0.24936843,0.26364902,0.27843595,0.28814963,0.28992796,0.28400263,0.27217475,0.25788638,0.24684413,0.2453565,0.255659,0.2737585,0.29053184,0.2982786,0.29317415,0.27809533,0.25904402,0.24388385,0.23690844,0.23770648,0.24130815,0.24247728,0.23860216,0.23009275,0.21923232,0.2088383,0.20143123,0.19806047,0.19779909,0.1983093,0.19819357,0.19841261,0.20301022,0.21467312,0.23217428,0.24817908,0.25635305,0.25542232,0.25208423,0.2535071,0.26270342,0.27564862,0.28664503,0.29210415,0.29325643,0.2931954,0.29452732,0.29686984,0.29813233,0.29603004,0.29037976,0.28376174,0.27983022,0.28097382,0.28554055,0.289831,0.29043463,0.28723988,0.2823178,0.2784866,0.27809978,0.28237525,0.29079726,0.3004199,0.30729973,0.30877343,0.30503285,0.2985024,0.2916738,0.28593287,0.2810203,0.2762337,0.2705233,0.2635937,0.2554941,0.24751212,0.24237381,0.24347508,0.2531627,0.26931882,0.28692424,0.29993632,0.306489,0.3081346,0.3085073,0.30937108,0.31036034,0.30961624,0.30603775,0.29936388,0.29086968,0.28200457,0.27493337,0.27023184,0.2673281,0.26383674,0.25840938,0.2516081,0.24657142,0.24732624,0.25613943,0.27252683,0.29176608,0.30851755,0.31744424,0.31798294,0.3118025,0.30344287,0.29532576,0.28896293,0.28385034,0.2798902,0.2759314,0.2701881,0.26065132,0.24774455,0.23468034,0.22556241,0.22204898,0.22296847,0.22625841,0.2313319,0.23845851,0.24699838,0.25447515,0.25755632,0.2529052,0.23846118,0.21503152,0.18909295,0.1708334,0.16862077,0.18214516,0.20239066,0.21739584,0.21872479,0.20514007,0.18221377,0.15971923,0.14624512,0.14463836,0.15343104,0.17107743,0.19813205,0.23206301,0.26355127,0.2798837,0.2733257,0.24718998,0.21318303,0.18802689,0.18805642,0.2267782,0.3042635,0.40216067,0.4859375,0.52717537,0.5200848,0.48433265,0.4451433,0.4176085,0.40149054,0.3898617,0.37654105,0.36197498,0.3540454,0.36492622,0.39981613,0.44814345,0.48506966,0.4908971,0.4659461,0.43118036,0.40670237,0.39843103,0.39742494,0.39521262,0.39033052,0.3881309,0.39399084,0.4118056,0.4408256,0.47439957,0.49793887,0.49774018,0.46894887,0.42144766,0.37134793,0.33300278,0.3128467,0.31168535,0.3254943,0.34758666,0.37175846,0.39743686,0.4283451,0.46341023,0.4921128,0.5016194,0.4941701,0.48616612,0.49349603,0.5106271,0.5178824,0.49947047,0.459703,0.41492787,0.38031408,0.36120817,0.35498562,0.35386255,0.3482027,0.33197817,0.30796313,0.28637347,0.27606404,0.2774068,0.28415307,0.29169926,0.30092385,0.3138435,0.32702807,0.33275703,0.32608226,0.30968595,0.29193434,0.28239858,0.2910258,0.3257111,0.38565364,0.45345107,0.5007139,0.50623125,0.47246268,0.42178223,0.37822127,0.35177958,0.3391714,0.3330495,0.3287997,0.3264091,0.3300515,0.34917346,0.38895586,0.443261,0.4898359,0.50996405,0.49932817,0.47288382,0.4448628,0.4227217,0.4052688,0.3932239,0.38786733,0.3908281,0.40171942,0.42128336,0.44819036,0.47607422,0.49161407,0.48388278,0.45202935,0.40732834,0.36329493,0.32889938,0.30685285,0.29822865,0.30275247,0.3188378,0.34346214,0.37558672,0.4140422,0.45224646,0.4772915,0.4792986,0.4652892,0.45340618,0.45758948,0.46939528,0.47040638,0.44823107,0.41099736,0.37536085,0.3544949,0.34998596,0.35562184,0.36291382,0.36458853,0.35863665,0.3477739,0.3372279,0.32833064,0.3175886,0.3011497,0.28114805,0.26594722,0.26235953,0.26890466,0.27709547,0.27984837,0.27692387,0.27324796,0.27517125,0.28983125,0.32375035,0.37641856,0.4344332,0.4762653,0.48735666,0.4693134,0.43632063,0.40177265,0.372021,0.34737507,0.3272889,0.3124808,0.30592826,0.3135607,0.342121,0.3899293,0.44187894,0.47264305,0.46853587,0.43526483,0.39581826,0.36635435,0.35115638,0.34379932,0.34018064,0.33881724,0.34062502,0.34809163,0.36708748,0.40121326,0.44467425,0.47870684,0.48513106,0.45852974,0.41206226,0.3647749,0.33014348,0.31100848,0.30361986,0.3032596,0.30710503,0.3172641,0.33997962,0.3793446,0.42721298,0.463297,0.47100684,0.45720592,0.44624642,0.45679903,0.4777316,0.4835433,0.45679176,0.40711603,0.3558241,0.32140195,0.30956534,0.31613496,0.33130583,0.3438542,0.350848,0.360477,0.3848151,0.42377546,0.45979467,0.47260818,0.45717916,0.42750642,0.4018475,0.38987824,0.3934238,0.41245532,0.44390556,0.47698113,0.49538752,0.49313235,0.4789996,0.47002316,0.47157505,0.47558042,0.4693754,0.4496493,0.42360532,0.4008654,0.38714588,0.38214722,0.38366592,0.38907036,0.39768708,0.4108661,0.43198577,0.46049583,0.48852646,0.5019151,0.49332598,0.46648014,0.4342971,0.4045976,0.3797305,0.35818526,0.3417833,0.3316851,0.32880554,0.3339562,0.35285816,0.38819972,0.43409285,0.47014263,0.4793757,0.4582722,0.42400804,0.3950536,0.3813989,0.3791448,0.38176033,0.38468328,0.38871643,0.39720082,0.41580716,0.44457188,0.47515997,0.49134398,0.486172,0.46944508,0.461809,0.4729636,0.49198833,0.499491,0.48617598,0.46045694,0.43702224,0.4251605,0.42456794,0.42828515,0.42775068,0.41711375,0.40030965,0.39104855,0.40293872,0.4353828,0.47041973,0.48811045,0.48203734,0.46228758,0.44203505,0.42865977,0.4245919,0.43291736,0.45359707,0.47939143,0.49770463,0.5048583,0.50806457,0.51710176,0.5287449,0.53043276,0.51362044,0.48398745,0.45544854,0.4379097,0.43233562,0.43406,0.43829104,0.44239342,0.44641122,0.4535186,0.46754524,0.4873712,0.5043047,0.5062863,0.48985365,0.461339,0.43293762,0.40978518,0.39239374,0.37806556,0.36727893,0.35965315,0.3562486,0.3605354,0.3811493,0.42060712,0.46913937,0.50141495,0.49929026,0.46146092,0.4091139,0.36291572,0.33423904,0.319908,0.3136511,0.3100028,0.30859903,0.31319094,0.3321137,0.3681973,0.41349256,0.44827184,0.46130016,0.45894578,0.45981348,0.47041094,0.47754315,0.46331108,0.42492142,0.3777381,0.34017542,0.3222383,0.3246478,0.34210894,0.36608768,0.38532376,0.39291272,0.3886627,0.3784001,0.36585128,0.3507861,0.3317635,0.31200466,0.29842016,0.29629266,0.30326256,0.3111764,0.31080425,0.29814574,0.27653924,0.2583013,0.26185676,0.30035225,0.36878383,0.43975687,0.48247275,0.48322657,0.45463505,0.41909075,0.3924793,0.37696114,0.3682193,0.36121592,0.35369316,0.3479946,0.3529327,0.37790045,0.4214777,0.46518648,0.48542666,0.47345957,0.44187546,0.41150406,0.39173284,0.37983528,0.3689158,0.35921076,0.35406017,0.35864636,0.37646112,0.41082108,0.45743167,0.50210875,0.5234525,0.5103752,0.4696282,0.42343655,0.38998184,0.37502384,0.37164697,0.3714567,0.36912552,0.3658394,0.36764,0.38493,0.42131636,0.4684852,0.5056464,0.5202289,0.51667404,0.51175684,0.5130036,0.51153636,0.49512675,0.46184978,0.423588,0.39315036,0.37816265,0.37872636,0.38920248,0.40048143,0.40212002,0.39098594,0.37104115,0.3513397,0.33605632,0.32364213,0.31077752,0.29812256,0.29043314,0.28994796,0.29380333,0.29640996,0.29551563,0.29286763,0.29176086,0.29633442,0.31412873,0.3518784,0.4067057,0.4599327,0.48902205,0.48439157,0.4565874,0.42502868,0.4023315,0.38946196,0.38014367,0.36925706,0.35606155,0.34638643,0.3503716,0.37644914,0.42131662,0.46733022,0.49221036,0.48704425,0.46023655,0.42947766,0.40345037,0.38311288,0.364539,0.3496604,0.34100533,0.3428925,0.35823798,0.38936594,0.43130574,0.4698188,0.48697484,0.47427884,0.43879375,0.39731708,0.3642366,0.344371,0.3351014,0.33097008,0.32827097,0.32722667,0.33300135,0.35365248,0.39010906,0.43200207,0.46040845,0.4674348,0.4623107,0.463325,0.47544956,0.48574337,0.47722948,0.44582245,0.4024335,0.36173275,0.3338108,0.3230182,0.32779646,0.34139776,0.35418049,0.36403427,0.378904,0.40692016,0.44224295,0.4632437,0.45270076,0.41141677,0.3594661,0.31823912,0.30148122,0.31422973,0.35317233,0.40514398,0.4472237,0.4622967,0.4506937,0.4282566,0.4102925,0.4008304,0.39972702,0.4085525,0.42823967,0.45107272,0.4632932,0.46158168,0.45405325,0.45376787,0.45865992,0.4584317,0.4439925,0.41964057,0.39509794,0.3773949,0.37094566,0.38147187,0.41262636,0.45612893,0.4921418,0.50626993,0.5020637,0.4938383,0.48904654,0.4809233,0.4647354,0.4428978,0.4255089,0.41393805,0.40841147,0.4102383,0.42385638,0.44481286,0.45857716,0.45663336,0.44596693,0.44531795,0.46031392,0.47889444,0.4829062,0.46948877,0.44999334,0.43594643,0.42886922,0.42650923,0.42890036,0.43646464,0.44407937,0.44610703,0.444712,0.4471067,0.45541146,0.45977148,0.451895,0.4333686,0.41657868,0.4088346,0.41022268,0.41824785,0.4354849,0.46118596,0.4850923,0.4901019,0.4718728,0.44068396,0.4141703,0.3975915,0.39027736,0.39239693,0.40908304,0.4368546,0.45998403,0.4646633,0.45540607,0.45038328,0.46024337,0.4727087,0.46754432,0.43435815,0.38447747,0.3352748,0.2992343,0.27711853,0.26473856,0.25764748,0.2537116,0.25305644,0.2563393,0.26328918,0.27227116,0.28210747,0.29379532,0.30835664,0.3226885,0.32864764,0.31757545,0.2879207,0.24570785,0.20111264,0.16137075,0.13043031,0.1098021,0.10062177,0.10262034,0.112727605,0.12558223,0.13519327,0.13798136,0.13381545,0.12597278,0.11899849,0.11628419,0.11843834,0.12346835,0.12878,0.13283388,0.13555878,0.1373048,0.13814951,0.1378594,0.1363611,0.13343456,0.12932299,0.12526754,0.12508033,0.13255791,0.14873207,0.1694598,0.19005556,0.20991607,0.2322257,0.25745532,0.27881703,0.28828844,0.2841687,0.2739729,0.26521245,0.25953102,0.251767,0.23822768,0.21946569,0.20023191,0.18353863,0.17015731,0.15951721,0.15325321,0.15467511,0.1678297,0.19739515,0.24712777,0.31421962,0.38234973,0.42728063,0.43237373,0.40271816,0.3585,0.31982473,0.2938144,0.27897072,0.27068174,0.2668898,0.26603815,0.2675211,0.26972613,0.27067724,0.26865187,0.26516166,0.26501465,0.2711814,0.27907884,0.2764618,0.2534832,0.21149115,0.16361313,0.12466845,0.10233713,0.09543091,0.09806567,0.103794724,0.107582025,0.10681341,0.102131724,0.09635207,0.09264356,0.09233832,0.095241845,0.10033316,0.1065441,0.11245761,0.11633269,0.11703837,0.114785306,0.111048855,0.10724663,0.10417115,0.10200536,0.10110548,0.10144534,0.10250189,0.102795474,0.10147917,0.09853547,0.09515071,0.09356674,0.09815214,0.115695976,0.14980568,0.1950729,0.23464806,0.25160536,0.24031837,0.21168977,0.18349874,0.16977501,0.17440414,0.19311859,0.21686721,0.23659675,0.24579369,0.24300385,0.23018901,0.21234292,0.19609427,0.1916284,0.20965524,0.25582948,0.32078278,0.38161108,0.41303983,0.40627706,0.37197408,0.33137473,0.29938126,0.28070435,0.27271053,0.27184978,0.27483094,0.27790424,0.27871564,0.2772448,0.27645722,0.27865222,0.28391337,0.2917689,0.3010224,0.31106147,0.31752267,0.3171451,0.30660808,0.2867706,0.25914118,0.2285796,0.20162116,0.18495227,0.18109496,0.18736184,0.19812544,0.20762499,0.21175204,0.20844628,0.19775619,0.18207695,0.16635458,0.15773039,0.16192292,0.17897241,0.20157021,0.21990907,0.22739685,0.22304083,0.20920211,0.19004725,0.17266478,0.16620249,0.1775529,0.2040553,0.23377813,0.25133863,0.24865718,0.22921638,0.20686893,0.1977214,0.21019769,0.23997128,0.27169737,0.2913208,0.29283634,0.2804788,0.25975445,0.2345721,0.20746696,0.18430406,0.1729409,0.17773323,0.19522144,0.21563868,0.23010258,0.23424923,0.22962673,0.22194582,0.22346918,0.24747849,0.29817697,0.36029294,0.40696868,0.41908908,0.39795494,0.36062598,0.32394683,0.2972469,0.2816093,0.2752888,0.27456057,0.27620146,0.27744886,0.27723107,0.27457783,0.27015975,0.26645565,0.2688578,0.2801457,0.29754314,0.31091273,0.31125215,0.29571918,0.27014846,0.24133402,0.21325357,0.18657582,0.16443992,0.15311058,0.1581533,0.17790318,0.20351833,0.22438562,0.23468004,0.23457281,0.22739612,0.21635306,0.20307694,0.18790443,0.17062195,0.1517632,0.13329695,0.11840779,0.10984066,0.108779214,0.11456432,0.12616833,0.14268397,0.16256969,0.1815561,0.19253011,0.18897177,0.16946714,0.14157899,0.11936635,0.11854652,0.14441317,0.18780184,0.22558731,0.23861872,0.22137372,0.18622899,0.14909945,0.121347584,0.10519036,0.09943416,0.101429164,0.108783744,0.1179178,0.12600781,0.1312697,0.13464008,0.14001203,0.15580821,0.19399829,0.26053312,0.34576178,0.4211339,0.45806238,0.4462885,0.4012077,0.34764764,0.30350193,0.27511445,0.26253572,0.26502737,0.27872503,0.29708326,0.31201234,0.31907567,0.31777716,0.3118924,0.30647266,0.30682573,0.3129263,0.319765,0.31798732,0.30395022,0.28048798,0.25595143,0.23454504,0.21584791,0.19792259,0.18305159,0.17682427,0.18215837,0.19596393,0.21104902,0.22167343,0.22592573,0.22376436,0.21509272,0.20006394,0.18193679,0.16812246,0.16623022,0.17941761,0.20240831,0.22594608,0.24078916,0.24289213,0.23322429,0.21817964,0.20672782,0.20571792,0.21528627,0.22900742,0.23872058,0.23915295,0.23051554,0.21868892,0.21409433,0.22400056,0.24672484,0.26961267,0.28165936,0.28093293,0.2761054,0.27409276,0.27438065,0.26960173,0.25351626,0.22527236,0.18970661,0.1540607,0.1249414,0.105492644,0.09511138,0.092764586,0.10229161,0.13545428,0.20058425,0.2902247,0.3732969,0.41693702,0.40681922,0.35984126,0.30413935,0.26212928,0.24022943,0.23644899,0.24521928,0.26001653,0.27424395,0.2837666,0.2880861,0.2886735,0.2875477,0.28759617,0.293234,0.30598894,0.3220795,0.33150935,0.32810524,0.31165895,0.28873888,0.26303366,0.23650865,0.21048541,0.19023098,0.18023354,0.18175524,0.19106364,0.20336634,0.21311045,0.21563853,0.20753925,0.19062062,0.17179911,0.16040622,0.1615427,0.17335479,0.18857016,0.20044822,0.20631482,0.20756142,0.20639078,0.2036674,0.19826442,0.18788438,0.1710562,0.15008253,0.13292387,0.1296496,0.14598598,0.17900221,0.2204978,0.26277056,0.29913405,0.3219751,0.32250452,0.30024627,0.26587772,0.237924,0.22814201,0.23662756,0.2534981,0.2691692,0.27898967,0.28427926,0.28829944,0.29341596,0.29921362,0.3031507,0.3045379,0.30770895,0.3243063,0.36109033,0.4122031,0.4525807,0.4602553,0.42885908,0.37735364,0.3282272,0.29669914,0.28260994,0.28174913,0.28939787,0.30294612,0.31844124,0.3315653,0.33906314,0.340199,0.3373555,0.33436695,0.33495235,0.33693567,0.33284497,0.31271085,0.27503458,0.22727321,0.18269919,0.14951795,0.1296026,0.11993408,0.117476225,0.11954299,0.12336866,0.12634885,0.12705095,0.12577482,0.12340663,0.12075282,0.118487805,0.11772918,0.11906052,0.121712305,0.123106815,0.121115826,0.11518922,0.1070041,0.09877965,0.09305656,0.092632584,0.10017554,0.1160988,0.13670573,0.15546446,0.16682929,0.16931129,0.16576467,0.16188528,0.16477501,0.18031538,0.20755003,0.23673463,0.25293532,0.24831349,0.22620864,0.19867337,0.17524193,0.15977044,0.15123136,0.1479532,0.14815938,0.14969651,0.15042295,0.14919181,0.14600022,0.14232273,0.14247037,0.15521182,0.18951716,0.24492066,0.30602488,0.34990296,0.36408183,0.35394493,0.33580843,0.3221757,0.31822005,0.32693443,0.3486484,0.37788233,0.39994264,0.4050046,0.39557076,0.38429955,0.37913692,0.37722075,0.3749597,0.37403217,0.3790177,0.3871514,0.39040986,0.3879106,0.38552967,0.3908675,0.39971104,0.40784284,0.4154834,0.42981818,0.44919753,0.4620975,0.4588337,0.4450864,0.43588066,0.43836936,0.4444257,0.44504836,0.44219133,0.44639775,0.46076378,0.4775628,0.4896488,0.49616337,0.5004008,0.49857458,0.4889435,0.4768444,0.47508493,0.48746705,0.503783,0.5115233,0.50997967,0.50928384,0.5150601,0.5217979,0.5224884,0.51852274,0.51671934,0.51841253,0.51820904,0.51480037,0.51314384,0.51893497,0.52703524,0.5286946,0.5193712,0.50379354,0.48650613,0.46866977,0.45164612,0.44337574,0.4508252,0.47187856,0.49354568,0.5084827,0.519748,0.536248,0.5557776,0.56713414,0.5602042,0.53713423,0.50771993,0.4801378,0.4568747,0.43820897,0.42606685,0.42289183,0.42979565,0.44708046,0.47544822,0.5109992,0.5415397,0.5496501,0.5289678,0.4896721,0.45210674,0.42692098,0.4121271,0.3991754,0.3856411,0.37353924,0.36787304,0.372828,0.39568147,0.43726048,0.48852375,0.52563494,0.53035873,0.4989995,0.44862875,0.39857975,0.36220768,0.34163663,0.33499208,0.3382647,0.34900877,0.36716533,0.39801037,0.44277653,0.4914751,0.5215826,0.51956123,0.4963254,0.47959474,0.48594388,0.50277156,0.5056942,0.48180094,0.44191682,0.40441617,0.3824608,0.3785522,0.388737,0.4040633,0.4120945,0.40271536,0.37517345,0.33880392,0.3063564,0.28537813,0.2767365,0.27712846,0.28210005,0.28594387,0.2827176,0.27132976,0.2588226,0.25748166,0.2757667,0.31388807,0.3673658,0.43044803,0.49461508,0.54410285,0.5636241,0.549895,0.51779157,0.48796836,0.47200048,0.4671452,0.4646844,0.45980084,0.45413092,0.45402217,0.4665806,0.49591145,0.5360268,0.57063365,0.5808788,0.5621303,0.52579373,0.49133816,0.4679605,0.45537838,0.44785166,0.4441053,0.44357204,0.44695082,0.45570025,0.47435412,0.5033415,0.5334398,0.5466488,0.53117853,0.49093273,0.44468045,0.41035065,0.39531946,0.3946238,0.39917508,0.40175033,0.40186286,0.405566,0.42371836,0.46056375,0.5080251,0.5455746,0.5607533,0.5581823,0.5555155,0.56052685,0.56350017,0.5498998,0.51671475,0.47710302,0.4458587,0.43097553,0.42957827,0.43289295,0.4295765,0.4104384,0.37520528,0.33284858,0.29727492,0.27649626,0.2700951,0.27165258,0.27568403,0.27931762,0.28191018,0.2831097,0.28360176,0.2839264,0.28421953,0.28502125,0.29134318,0.31499466,0.36431947,0.43463802,0.5015152,0.54057544,0.5406502,0.5137527,0.4780372,0.4484079,0.42864117,0.41689882,0.40795776,0.3983865,0.3904736,0.39473185,0.42079985,0.46610805,0.51049286,0.5317206,0.5223513,0.49492553,0.46709457,0.44696322,0.43255547,0.4195243,0.40749803,0.39799717,0.3941864,0.4014773,0.4256823,0.4654821,0.50724095,0.5311758,0.52535063,0.49361035,0.4507906,0.41088268,0.3816668,0.36595058,0.3641493,0.3739587,0.39133576,0.41502059,0.44770274,0.48894462,0.5287287,0.55135536,0.55291575,0.5451293,0.5452228,0.55376,0.55640674,0.5379823,0.50019765,0.45732918,0.4245508,0.40786144,0.40561286,0.41131592,0.41798082,0.42166412,0.42705688,0.44427693,0.47766042,0.5161481,0.5376627,0.5280498,0.4917923,0.44916543,0.41963515,0.4141239,0.43487528,0.47650734,0.5249517,0.55910605,0.5671942,0.5566416,0.5484833,0.553787,0.56286854,0.5569539,0.5279775,0.48417917,0.43947005,0.40327284,0.37947157,0.36955038,0.3728312,0.38712004,0.41028675,0.44476768,0.4906837,0.541351,0.5790426,0.5900194,0.5724829,0.53909093,0.50328285,0.47256145,0.44871846,0.43223193,0.42389646,0.4232261,0.43078426,0.44945458,0.48161817,0.52168846,0.5536311,0.5599937,0.5351128,0.48895347,0.43915161,0.40054557,0.38330984,0.39407846,0.43185154,0.48371205,0.52853703,0.5544412,0.56518054,0.57191473,0.57659155,0.5736744,0.56503224,0.56336766,0.5780966,0.6004619,0.6138845,0.6144135,0.6126979,0.6186213,0.62612647,0.62698597,0.6215628,0.61896324,0.6205948,0.6194456,0.6138045,0.61141056,0.61917806,0.62913585,0.629083,0.6195166,0.61436015,0.62268263,0.6354763,0.6391621,0.63372636,0.6307289,0.635045,0.6319477,0.6052319,0.552338,0.49092543,0.43833622,0.40239736,0.37922254,0.36412874,0.35451058,0.3495015,0.34692743,0.34441856,0.34066892,0.3361934,0.33166575,0.32746384,0.32387903,0.32178858,0.3221395,0.32509398,0.33015177,0.3364205,0.34289953,0.3479378,0.34951892,0.34616712,0.33806527,0.32728672,0.31677815,0.30916476,0.30587772,0.30707598,0.3116096,0.3173475,0.3216869,0.32287738,0.3205158,0.31591737,0.31107375,0.30823842,0.30875885,0.31250703,0.3175914,0.3211474,0.3212446,0.31770477,0.31240734,0.30751145,0.30477318,0.3046678,0.30709985,0.3112568,0.3160214,0.31979254,0.3215636,0.3212142,0.3201261,0.3199421,0.32218826,0.32703224,0.3334849,0.33930814,0.3421708,0.34094205,0.33633462,0.330771,0.32664597,0.32539594,0.32668555,0.32920715,0.33130792,0.33148682,0.32859924,0.32212147,0.31273273,0.3020084,0.2915856,0.28228405,0.27428246,0.2676597,0.2626041,0.2590258,0.2567064,0.2556557,0.2558496,0.25574604,0.25163624,0.23982666,0.22002642,0.19648923,0.17502807,0.1593254,0.14973803,0.1450553,0.14430515,0.14703666,0.152364,0.15848182,0.16306262,0.16449255,0.1626301,0.15873618,0.15466355,0.15202516,0.15172617,0.15362668,0.15653862,0.15876503,0.15894681,0.15695049,0.15368839,0.15065527,0.14881498,0.14839713,0.14887053,0.14967369,0.15040411,0.15085036,0.15069246,0.14968003,0.14780758,0.1454011,0.14277945,0.14030898,0.13858868,0.13838638,0.1398917,0.14212747,0.1434233,0.14266087,0.14002109,0.13689946,0.13486432,0.13519348,0.13794684,0.14227642,0.14624004,0.14833151,0.14776117,0.14540023,0.14271545,0.14159068,0.14297801,0.14681624,0.15141065,0.15463145,0.15482043,0.152188,0.14839439,0.14597462,0.1472093,0.15313594,0.16274923,0.17285492,0.18011779,0.18292087,0.18235451,0.1804858,0.17886631,0.17796944,0.17797874,0.17917414,0.18180734,0.18556978,0.18972427,0.19304204,0.19457395,0.19379385,0.1913358,0.1884289,0.18636554,0.18562631,0.18578458,0.18598862,0.18531398,0.18328656,0.1799516,0.17630476,0.17390426,0.17417468,0.17718118,0.18171883,0.18633382,0.190771,0.19567563,0.20127429,0.20637786,0.20905812,0.20810725,0.20367636,0.19697504,0.18975502,0.18396725,0.18129534,0.18204544,0.1849435,0.18781108,0.18915063,0.1884958,0.18613476,0.18279777,0.17992765,0.17942788,0.18221886,0.18708439,0.1910795,0.1919071,0.18977557,0.18745501,0.18804467,0.1928566,0.20045091,0.2081158,0.2134002,0.21576017,0.21576464,0.21487784,0.21428637,0.21555193,0.21975704,0.22727673,0.23664375,0.24509318,0.2492189,0.24663796,0.23714077,0.22349511,0.2101295,0.20065987,0.1954903,0.19227034,0.18806691,0.1821425,0.1758051,0.17122245,0.16893524,0.16820203,0.16780017,0.16779499,0.16869515,0.17037684,0.1713934,0.17048103,0.16773959,0.16464444,0.1624952,0.16177882,0.16207924,0.16296904,0.1639176,0.16476245,0.1654333,0.16645347,0.16832429,0.17144988,0.17569394,0.18070681,0.18615192,0.19132166,0.19553123,0.19830728,0.20144026,0.20709004,0.21608888,0.22417903,0.22666796,0.22265376,0.2197374,0.22645132,0.2458377,0.27039027,0.28939402,0.29499313,0.28687787,0.2696347,0.25025454,0.23559497,0.23051178,0.23666926,0.25156847,0.26986828,0.28442225,0.28910753,0.28100976,0.262901,0.24246281,0.22878915,0.22716357,0.23585768,0.24791579,0.25594953,0.2572482,0.25383648,0.24982955,0.24712522,0.24488844,0.24009608,0.23093678,0.21805389,0.2066288,0.20337085,0.21313524,0.23581384,0.26938868,0.31572083,0.37727317,0.44982567,0.513774,0.54657525,0.5367905,0.49511775,0.44283998,0.39839077,0.36925256,0.35502124,0.3528651,0.35882565,0.36845145,0.37666094,0.37996432,0.3775036,0.37235025,0.37032306,0.37770906,0.3936533,0.40869382,0.40679398,0.3804126,0.3350227,0.2877422,0.2517528,0.2309537,0.22123301,0.2189865,0.22301441,0.23220758,0.24287538,0.25052497,0.25258246,0.24943829,0.24256897,0.23307423,0.22169097,0.20896238,0.19608104,0.18390632,0.17409258,0.16736697,0.16382068,0.16171613,0.15967913,0.15806206,0.1582491,0.1610883,0.16461171,0.1671214,0.16794531,0.16914272,0.17224681,0.1792681,0.19254088,0.21601932,0.24869253,0.28314617,0.30523252,0.30748418,0.29117584,0.2680513,0.24724256,0.23422186,0.22798443,0.22638895,0.22558649,0.22168863,0.21191482,0.19602303,0.17653471,0.15741108,0.1462571,0.15571982,0.20166452,0.2872891,0.39358303,0.48044538,0.51733375,0.49991593,0.45367768,0.40579653,0.3718344,0.35117567,0.33913183,0.33249566,0.33088377,0.3355321,0.34649754,0.36230573,0.37948465,0.3955606,0.41120002,0.42786646,0.4444039,0.45234776,0.44221318,0.40877357,0.35949945,0.3085414,0.27130085,0.25320408,0.2511779,0.25447085,0.25485292,0.24756406,0.23551871,0.22298054,0.21575157,0.21640675,0.22571684,0.24064724,0.25591916,0.2661223,0.26809758,0.26254383,0.25167215,0.2382857,0.22320284,0.20727628,0.19221294,0.183856,0.1880381,0.20641594,0.23110282,0.25047585,0.25578466,0.24778806,0.23456402,0.22776847,0.23750794,0.26571873,0.30353776,0.33274794,0.3394275,0.32090187,0.28806105,0.25381258,0.22780405,0.21337907,0.21137424,0.21967477,0.2337253,0.24708219,0.25568226,0.25886807,0.25844583,0.25730073,0.2618959,0.28487477,0.33599624,0.41045976,0.48158526,0.51988316,0.5125136,0.47412753,0.42897192,0.3950764,0.37633252,0.37134805,0.37738332,0.39127168,0.40613088,0.41509247,0.41429225,0.40567216,0.394523,0.38769802,0.39101914,0.4035546,0.41622305,0.41298953,0.3857728,0.3384111,0.28689405,0.24408595,0.21536541,0.19829768,0.1888098,0.1835389,0.17902762,0.17345546,0.16631766,0.15935712,0.15350108,0.14908169,0.1467933,0.14906187,0.15822923,0.17314178,0.18850677,0.19812568,0.19924414,0.19358319,0.18493526,0.1767044,0.17166416,0.17216021,0.17907953,0.19032232,0.20162779,0.20940155,0.2124685,0.21258743,0.21403734,0.2235658,0.24631555,0.2800289,0.3127695,0.32936776,0.3219172,0.29357418,0.25507557,0.21747617,0.18999566,0.17898889,0.18660055,0.20849329,0.23461144,0.25513732,0.26490462,0.2650745,0.26025662,0.2594174,0.2756771,0.3220171,0.39612398,0.47475266,0.5230606,0.5233648,0.48490727,0.435804,0.39617714,0.37154254,0.35629496,0.34653577,0.3405383,0.33777335,0.33665538,0.33622742,0.33673802,0.33953512,0.34654233,0.36033478,0.38122573,0.40512612,0.42118314,0.41818747,0.39063773,0.34455082,0.2932853,0.25028434,0.22238113,0.20870729,0.20438401,0.2042669,0.20548038,0.20768881,0.21153122,0.2171232,0.22247218,0.22597133,0.22793311,0.23213215,0.24198489,0.25841045,0.27797446,0.2957541,0.3070937,0.30984402,0.3043756,0.29327583,0.27985492,0.26628363,0.25352094,0.2420323,0.23351252,0.22956996,0.23021747,0.23408039,0.24146676,0.25746185,0.28577983,0.32308555,0.35452726,0.36671904,0.35582387,0.33251694,0.30969977,0.2962375,0.2931776,0.29862905,0.30837312,0.31705698,0.31865346,0.31016052,0.29258046,0.27027166,0.2503044,0.24380058,0.26681077,0.32754767,0.4162322,0.49910197,0.5440893,0.5384573,0.49993205,0.45410445,0.419763,0.40010408,0.39193,0.39146125,0.39659944,0.40553367,0.4154621,0.42328537,0.4258897,0.42317152,0.4184359,0.41789564,0.42191258,0.42301452,0.4076078,0.37097314,0.32032055,0.27210245,0.23735344,0.21851943,0.21116008,0.2106999,0.21387754,0.2180676,0.22138947,0.22313958,0.22422063,0.22550847,0.22698723,0.22806007,0.22857185,0.22929044,0.23084688,0.23313959,0.235157,0.23570116,0.23377873,0.2293763,0.22401617,0.22064443,0.22144927,0.22605741,0.23132636,0.23422714,0.23372231,0.23086523,0.22773601,0.2280296,0.23808938,0.2628381,0.2991273,0.3322899,0.34524512,0.331059,0.29833314,0.26261783,0.23562668,0.22158484,0.22131455,0.23429202,0.25757882,0.28390205,0.30540982,0.31676495,0.3173075,0.3101202,0.30425343,0.31496623,0.35564736,0.42370263,0.49402943,0.53421205,0.5278991,0.48587775,0.43334877,0.39071965,0.364966,0.35430923,0.35443306,0.36140633,0.37144446,0.3824805,0.39356828,0.40419003,0.41331708,0.42067027,0.42780253,0.4336675,0.4324288,0.41347787,0.37262347,0.31629953,0.26033056,0.21825068,0.19567464,0.19135489,0.20076571,0.21910499,0.23922603,0.2545977,0.26023367,0.25699374,0.24971674,0.24506961,0.24668805,0.25337708,0.2601597,0.26179323,0.25621313,0.2459426,0.2369919,0.23564418,0.24462865,0.26137778,0.27993062,0.29443073,0.30212286,0.302864,0.2980075,0.2882672,0.27404007,0.25637016,0.24009907,0.23388015,0.24707836,0.2801684,0.3220444,0.35300842,0.36134362,0.34873345,0.3297577,0.3165228,0.31360224,0.31732836,0.32273448,0.32617652,0.32596636,0.32268706,0.31881294,0.3174232,0.3196087,0.32531652,0.3368709,0.3609912,0.40177986,0.45354748,0.49850288,0.5211726,0.5172927,0.4978,0.4761394,0.46331322,0.46435463,0.47978806,0.5034394,0.52381265,0.53340346,0.53484416,0.53788996,0.54684204,0.55657333,0.56057924,0.55890036,0.55657214,0.55436736,0.5503332,0.5454168,0.54728365,0.5588312,0.57403517,0.5811029,0.5792608,0.57441527,0.5731887,0.5705509,0.5636589,0.5557639,0.5549128,0.5595739,0.55979824,0.55169994,0.54204315,0.54040664,0.5433038,0.5413737,0.5322495,0.52576226,0.53014094,0.5411344,0.54878306,0.5509576,0.55344987,0.5591855,0.56140405,0.5559028,0.54705,0.54420495,0.54702955,0.54848075,0.545809,0.545201,0.55146074,0.5582714,0.55695343,0.54836226,0.5429962,0.54527277,0.5476945,0.5420857,0.53392035,0.5353082,0.5500234,0.5658255,0.5728721,0.5713651,0.5701225,0.5685682,0.5614117,0.5476311,0.5370808,0.53706807,0.5437579,0.5474691,0.5471573,0.5492894,0.55832547,0.5683355,0.5742255,0.57689303,0.5814399,0.5857405,0.5834086,0.5739787,0.5650607,0.5636621,0.5659533,0.565044,0.560292,0.5585614,0.56287116,0.5674088,0.566348,0.5616844,0.5603619,0.5633984,0.5657125,0.5652383,0.5673938,0.5766364,0.58829755,0.59199905,0.5858658,0.5772853,0.5748593,0.57640177,0.5759358,0.5730209,0.57298404,0.5781074,0.5807562,0.5765698,0.5675175,0.5626139,0.5617006,0.5609155,0.5574665,0.556263,0.55950576,0.56314135,0.56247216,0.56192255,0.56947255,0.5856567,0.59747285,0.5933559,0.57162195,0.5434756,0.5186672,0.5043454,0.5033937,0.5181933,0.5428498,0.56456846,0.56907684,0.55470425,0.5294154,0.505699,0.4889511,0.48392764,0.4936594,0.51785237,0.5447238,0.55769724,0.55153173,0.5371,0.52978486,0.53030205,0.52659327,0.50913554,0.48249903,0.4594787,0.44784603,0.44606948,0.44777548,0.44835627,0.44763723,0.44965196,0.46189895,0.4893092,0.5283626,0.56361467,0.57856613,0.56745243,0.54016095,0.51122445,0.48857367,0.47150853,0.45674324,0.44338724,0.43299365,0.42977533,0.44050595,0.47092772,0.5163922,0.5591093,0.5760603,0.5580315,0.5151108,0.4697373,0.43752503,0.42165026,0.41540337,0.41280088,0.41217935,0.41769364,0.43581507,0.47125006,0.5190328,0.5641716,0.58912253,0.5904829,0.5803116,0.5741015,0.57165116,0.5601186,0.53013116,0.48840344,0.4506066,0.42719278,0.41867164,0.41984376,0.4244417,0.4258907,0.41879007,0.40356746,0.38598523,0.3732724,0.3666226,0.36240032,0.3550385,0.34256017,0.32647708,0.31118414,0.30126455,0.29892564,0.3019581,0.30542123,0.30823347,0.31902066,0.35213622,0.41281366,0.48483768,0.53778416,0.5502495,0.5274131,0.49398816,0.47272512,0.4690316,0.47457242,0.4787756,0.47754547,0.47483197,0.47982213,0.5022118,0.5422381,0.58721167,0.6152397,0.61304,0.58350056,0.5432656,0.5066572,0.47992298,0.46179423,0.45025703,0.4433672,0.44180238,0.44911814,0.47257078,0.5123377,0.55662423,0.58159685,0.5718766,0.53036904,0.47896144,0.4388324,0.4201382,0.42021167,0.43172756,0.44791472,0.46509245,0.48447752,0.511538,0.54841644,0.58789366,0.6137003,0.6178549,0.6081631,0.6028779,0.60840774,0.6136285,0.6029207,0.5741596,0.540111,0.51467776,0.5025404,0.50022864,0.50065833,0.49772277,0.4857732,0.46436158,0.4365789,0.40870342,0.38397345,0.3639171,0.3486158,0.33915552,0.3349146,0.33317116,0.32967082,0.32247198,0.3127121,0.30333543,0.29838505,0.30430007,0.33204672,0.3867701,0.45938483,0.5220037,0.5502324,0.53883094,0.50772226,0.47967067,0.46625802,0.46324053,0.4627899,0.4594144,0.45466828,0.45455563,0.46797863,0.49644423,0.5299462,0.55020005,0.5477443,0.5291483,0.5103873,0.49977112,0.49357745,0.4838077,0.46891963,0.45333555,0.44408783,0.4470593,0.4691707,0.511151,0.5628938,0.60139143,0.6073558,0.5786379,0.5329886,0.4927245,0.47025666,0.46449843,0.4672815,0.47114334,0.47413504,0.48048273,0.49913892,0.53455156,0.5811906,0.62261385,0.64696586,0.6565251,0.6639219,0.67371446,0.67248935,0.64371127,0.5847541,0.51448184,0.4553709,0.42195383,0.41561446,0.43051803,0.45629895,0.48191968,0.5032155,0.52654785,0.56013876,0.6009161,0.62978584,0.62933373,0.59755427,0.55197376,0.5130069,0.49479553,0.5026297,0.53472954,0.5802452,0.61951566,0.6369644,0.63369435,0.6248626,0.6215028,0.61671686,0.59568286,0.553355,0.50212806,0.46054217,0.44096193,0.44786754,0.47939333,0.52638185,0.56980085,0.5889492,0.57537967,0.53840446,0.49745223,0.4686805,0.4612881,0.47763753,0.5128673,0.5518275,0.57354593,0.56509423,0.5301161,0.48604438,0.4502852,0.43427345,0.44465885,0.48254547,0.53824425,0.5864448,0.6021494,0.576369,0.5252615,0.47423664,0.44463098,0.4464455,0.4788792,0.5288875,0.5730085,0.5930852,0.5908644,0.5852576,0.5904719,0.60194373,0.6074082,0.6049915,0.6040252,0.60944,0.6136804,0.6097459,0.601188,0.59765077,0.5997818,0.5997522,0.5946153,0.5907202,0.5948457,0.60195994,0.60374516,0.60002804,0.5996468,0.60694504,0.6141703,0.61351544,0.60563105,0.5997433,0.5978474,0.59597856,0.59025186,0.5847008,0.58217573,0.57640123,0.55567735,0.5142153,0.45894477,0.40233895,0.3549918,0.32127973,0.30138865,0.29241464,0.28989395,0.2900473,0.29151165,0.2950578,0.30102122,0.30821458,0.31450635,0.31869316,0.32076237,0.32103285,0.31912157,0.31433293,0.30685994,0.29862478,0.29293773,0.2932464,0.3013868,0.31608155,0.33280948,0.34559026,0.35011855,0.34551814,0.3345946,0.32203487,0.31288424,0.3103331,0.31436834,0.32167852,0.3273231,0.3275495,0.32129076,0.3111422,0.302236,0.3002422,0.30812678,0.32430157,0.34392595,0.36176094,0.37457585,0.38060758,0.3788351,0.36956823,0.35596398,0.3441397,0.33977962,0.34509134,0.3573705,0.37128735,0.3811641,0.38322914,0.37720904,0.3671019,0.35948357,0.35908648,0.36544004,0.3736016,0.37833416,0.37748674,0.37166283,0.36228454,0.35043755,0.3378531,0.3270662,0.3201988,0.3170263,0.31517026,0.3122995,0.3082372,0.3050371,0.30517253,0.3100324,0.31939515,0.33180928,0.34497336,0.3566419,0.36531138,0.370188,0.36994538,0.36301085,0.34926176,0.33235762,0.3181448,0.31147936,0.3126758,0.31808922,0.322081,0.32013294,0.3102735,0.2938812,0.27483094,0.2580396,0.24732538,0.24425822,0.24811435,0.25646663,0.2659177,0.2723508,0.272931,0.2674602,0.25962564,0.25415587,0.2543312,0.25982627,0.26836777,0.27755013,0.28599152,0.29329482,0.29950452,0.30560648,0.31262785,0.3213043,0.33102465,0.34072804,0.34915426,0.35494927,0.35639235,0.35261342,0.3452367,0.3383532,0.33586597,0.33875072,0.3446771,0.3500581,0.35229555,0.3506781,0.34648323,0.34205434,0.33984303,0.34062397,0.34346828,0.3463386,0.34808576,0.34864175,0.3486112,0.34801516,0.3464767,0.34357288,0.3391528,0.3327496,0.32390192,0.31305003,0.30239633,0.29499838,0.29295775,0.29621673,0.30260715,0.30887678,0.31184176,0.3096324,0.30238178,0.29220143,0.28222916,0.27554289,0.2736505,0.27611837,0.28075942,0.2856003,0.28945863,0.29223886,0.29371276,0.29379666,0.29258868,0.29074988,0.2889484,0.2873145,0.28567594,0.28392693,0.28313076,0.28463957,0.2892872,0.29583886,0.30196866,0.3056953,0.30660114,0.30553523,0.30320534,0.29982844,0.29488912,0.28836915,0.28084257,0.273901,0.2686786,0.2653205,0.26196173,0.25620452,0.24591595,0.23124017,0.21431582,0.19891244,0.18832768,0.18396805,0.18487374,0.18846624,0.19233131,0.1949368,0.19602495,0.19601999,0.19607727,0.19823246,0.20458059,0.21594001,0.23023163,0.24374576,0.25329754,0.2583475,0.26043263,0.26127034,0.26177084,0.2617499,0.2612106,0.26027527,0.25994062,0.26117194,0.26459596,0.26964965,0.2751763,0.28027284,0.28438118,0.28681245,0.2866051,0.28379866,0.28012982,0.27826726,0.2796993,0.28372088,0.28738615,0.28746963,0.28154412,0.27046964,0.25770667,0.2486251,0.24657314,0.25177935,0.26157165,0.27245462,0.28127298,0.28450498,0.27969715,0.2667213,0.25020063,0.236878,0.23244654,0.23795368,0.25029317,0.2639334,0.27329704,0.2749295,0.26909336,0.26017883,0.25399563,0.25440803,0.26084244,0.26934728,0.2749267,0.27401254,0.26559734,0.25174484,0.23739707,0.22854744,0.22928916,0.23927093,0.25421372,0.26852795,0.27787563,0.2796104,0.27294526,0.25939146,0.24352068,0.2307673,0.2246666,0.22485417,0.22865735,0.2329752,0.23527843,0.23403932,0.22956766,0.22468509,0.22231473,0.22242789,0.22149253,0.21640538,0.20805675,0.20030396,0.19574241,0.1936423,0.19210742,0.19088484,0.1909101,0.19231373,0.19370258,0.19382922,0.19186999,0.18611534,0.17310946,0.15026234,0.11940899,0.08718869,0.060942616,0.04407692,0.035000507,0.029872514,0.025803542,0.021908963,0.018447516,0.015699072,0.0136898,0.012382192,0.011820967,0.011958537,0.012437322,0.012694004,0.012259349,0.011157372,0.009801195,0.008718242,0.008070091,0.0076765683,0.0072056656,0.006571328,0.0059363977,0.0055434587,0.005635949,0.0071042087,0.011862077,0.022062043,0.03692514,0.051499918,0.058948975,0.057430252,0.053024203,0.055648785,0.07033715,0.092630744,0.11340982,0.12562649,0.12838607,0.12335017,0.1126936,0.09881037,0.08642546,0.08064882,0.083891205,0.09410161,0.10714183,0.11844754,0.124025054,0.12026086,0.10682071,0.08827617,0.07318499,0.06907545,0.0778159,0.09520054,0.11364051,0.12736972,0.13420635,0.13596036,0.1349777,0.1322645,0.12596288,0.113345824,0.09382949,0.07183906,0.056167122,0.05460322,0.068684615,0.09177253,0.11458314,0.13062015,0.13933764,0.14283533,0.14272642,0.13871716,0.13053243,0.11962507,0.10896903,0.10166618,0.099452764,0.10278361,0.110682495,0.121004045,0.13007815,0.13430698,0.13178487,0.1239182,0.11413578,0.105905734,0.100737,0.098486446,0.09787589,0.09762307,0.09617358,0.09292466,0.08787661,0.082502045,0.07792154,0.075029016,0.07347873,0.07289373,0.072722845,0.07279739,0.07290506,0.07295806,0.07282201,0.072435915,0.07170248,0.07064945,0.06939364,0.068236716,0.067456745,0.06727148,0.067645945,0.068351574,0.0690152,0.0693155,0.069171645,0.068712704,0.06822887,0.06785267,0.06763172,0.06749252,0.067496754,0.0676902,0.068089925,0.06855469,0.068906635,0.0689638,0.06858856,0.06776311,0.066642575,0.06558018,0.06487867,0.06465989,0.06474039,0.064739645,0.064156,0.06255532,0.059848636,0.056403194,0.05302863,0.050536156,0.049446005,0.049558904,0.050495353,0.052320663,0.056362823,0.063870534,0.07457484,0.08555773,0.09339154,0.096099675,0.09448158,0.090548955,0.08625153,0.08246813,0.079373114,0.0767018,0.07418693,0.07170948,0.06932532,0.06724391,0.06622376,0.06814229,0.07604456,0.09172956,0.11323061,0.13351308,0.1451916,0.14554167,0.13954295,0.13446055,0.13380301,0.13408835,0.13013162,0.12064919,0.11003741,0.10344257,0.102449365,0.10553667,0.11111381,0.11921457,0.12883669,0.13748525,0.14192669,0.14099485,0.13507813,0.12536846,0.11348385,0.101133645,0.08984455,0.079874635,0.07265905,0.07120616,0.079188205,0.09596157,0.115465075,0.12923254,0.13250542,0.12738504,0.12124661,0.12124258,0.12953252,0.14181371,0.15135944,0.15330799,0.14695011,0.13348404,0.114597045,0.09264633,0.07246169,0.060420316,0.0612168,0.074498475,0.094632946,0.11414216,0.12766932,0.13420472,0.1355851,0.13424462,0.13147666,0.12788035,0.12399738,0.120628476,0.11831423,0.11691457,0.115488134,0.11266929,0.107394435,0.099999845,0.09266663,0.089007534,0.092003524,0.10198725,0.11519744,0.12507804,0.12576334,0.115894236,0.09976243,0.08440912,0.07586325,0.07680571,0.08670179,0.10254691,0.11936468,0.13184632,0.13593487,0.13053986,0.11709974,0.09901714,0.08044159,0.06516061,0.055251915,0.05053335,0.049351912,0.049867,0.050901026,0.051846344,0.05236575,0.05225766,0.051581573,0.050644144,0.049760867,0.049056005,0.048407126,0.047714338,0.04696847,0.046294574,0.04576287,0.045381874,0.045192588,0.045453053,0.046909824,0.0503844,0.056085844,0.06249957,0.06717923,0.06862348,0.068546385,0.07109722,0.07958409,0.09324177,0.10689056,0.11427394,0.11135908,0.09864379,0.08032642,0.06301617,0.05317193,0.054974657,0.0683549,0.08882957,0.10981351,0.1257651,0.13467322,0.13720407,0.13502072,0.12891643,0.119647704,0.10849407,0.09779077,0.08930295,0.08357849,0.07975141,0.07687723,0.074487925,0.07262779,0.07132661,0.07037989,0.06946156,0.06829307,0.066824585,0.06529922,0.064145766,0.06367001,0.06378045,0.064056,0.064138405,0.06400981,0.06395865,0.06423635,0.064888805,0.06574487,0.06656591,0.06711342,0.06723627,0.06692044,0.06632814,0.06583645,0.0660789,0.06821219,0.073364384,0.08193671,0.09180065,0.099126406,0.10032637,0.096291654,0.09249661,0.095784016,0.1085762,0.12703788,0.14432292,0.15567249,0.16097118,0.16296206,0.16437459,0.16616972,0.16783571,0.16844136,0.16758163,0.16577293,0.16384055,0.1617363,0.1577979,0.15007631,0.13857299,0.12662537,0.11932596,0.12060211,0.1308729,0.1468443,0.16341251,0.17601399,0.18245439,0.18282647,0.17865343,0.17186946,0.16397224,0.15516734,0.14423509,0.13006054,0.11345619,0.0976413,0.08636715,0.08258006,0.08734376,0.09996778,0.11716918,0.13427119,0.14753021,0.15696955,0.16543186,0.17535992,0.1852553,0.19106281,0.18909013,0.17953755,0.16513796,0.14947173,0.13462201,0.12181456,0.11154308,0.1040423,0.09892488,0.095518045,0.09314526,0.09132913,0.08974788,0.08817336,0.08659556,0.085118175,0.08385473,0.08274426,0.081673644,0.080631554,0.07970851,0.0790175,0.07847133,0.07792582,0.07714001,0.07604647,0.07461193,0.07300052,0.07133004,0.069749594,0.06824271,0.06674482,0.06510559,0.063177645,0.060887616,0.058265,0.055526182,0.052862767,0.050433937,0.048197556,0.046128254,0.04416865,0.04236279,0.040713076,0.039228603,0.037849028,0.036499172,0.03511283,0.03368883,0.032316886,0.031115932,0.030164456,0.029454127,0.029001817,0.029309662,0.03198078,0.039911695,0.05584083,0.07977248,0.10733839,0.13156803,0.14710914,0.15303086,0.15169412,0.14523424,0.13440369,0.12060961,0.108427875,0.103526436,0.108200245,0.118433066,0.12746216,0.13066714,0.12844156,0.12364614,0.118976206,0.11547053,0.11325929,0.11191686,0.11077238,0.10914769,0.10689491,0.10441347,0.10223126,0.10042617,0.09863656,0.096516095,0.09415617,0.09196886,0.090266556,0.0889793,0.0878927,0.0871607,0.087654054,0.091182075,0.09937584,0.11298268,0.12987877,0.14641987,0.15822326,0.16430326,0.16652294,0.16886796,0.17235291,0.17451394,0.17067917,0.15880848,0.14109671,0.12309122,0.11058977,0.10767879,0.11527868,0.1308112,0.14843188,0.16184647,0.16685617,0.16283406,0.15120862,0.13428079,0.11479638,0.09619162,0.08176225,0.07385693,0.07401607,0.0837011,0.10302087,0.1287492,0.15385784,0.17186789,0.18087296,0.18431823,0.18622066,0.18787359,0.18785177,0.18524313,0.1811267,0.1778184,0.17708987,0.178742,0.1803804,0.17804615,0.1685384,0.15164061,0.13135073,0.114456765,0.10663888,0.10914203,0.11822959,0.1297227,0.14253063,0.15844715,0.17743921,0.19545525,0.2070182,0.2096018,0.20503269,0.19698024,0.18840522,0.18067832,0.17442106,0.16987418,0.1669081,0.1649188,0.16337998,0.16227531,0.16200884,0.16257776,0.16309208,0.16219342,0.15924644,0.15493058,0.15066428,0.14739491,0.14516114,0.14344652,0.14180677,0.13979127,0.13705082,0.13343106,0.12938629,0.12542175,0.12169223,0.11777243,0.11339354,0.1085779,0.10342568,0.09770132,0.09129074,0.08458793,0.07853914,0.07473757,0.076252885,0.08759103,0.11172273,0.14600098,0.18116654,0.2061963,0.21441163,0.2061977,0.1862824,0.16001916,0.1315134,0.1040892,0.08074569,0.06352918,0.052718524,0.046837006,0.043831363,0.04212764,0.04101335,0.040234867,0.039626304,0.03900135,0.038264018,0.037470818,0.03673448,0.03612415,0.035587177,0.035032604,0.03440508,0.033760846,0.03319556,0.032741193,0.03230306,0.031728726,0.030961268,0.030078022,0.029253297,0.02862032,0.028260319,0.02814862,0.028193122,0.028220097,0.028113628,0.027861843,0.027579548,0.027363418,0.027230436,0.027077345,0.026781855,0.02624631,0.02550403,0.024650477,0.023833128,0.02310352,0.022462288,0.021854194,0.021273812,0.020776635,0.02043756,0.020278992,0.020195296,0.020031119,0.019684225,0.019159539,0.018552674,0.017920474,0.017350962,0.016865121,0.016540186,0.016317287,0.016176693,0.016022114,0.015884792,0.015740851,0.015612274,0.015468427,0.015341222,0.015269756,0.015256859,0.015245594,0.015105375,0.014765103,0.014223398,0.013616237,0.013092437,0.01274833,0.012553298,0.012409889,0.012228642,0.011967686,0.011610302,0.011132397,0.0105001135,0.009688854,0.008722658,0.0077161645,0.0068936036,0.0065081734]