[0.12629834,0.124413826,0.12075934,0.11682427,0.11426415,0.11311009,0.11275285,0.11190536,0.110033005,0.10702991,0.103324205,0.09948158,0.09596372,0.092976935,0.09039166,0.08823948,0.08717487,0.08870033,0.094442874,0.104890615,0.11853475,0.13247995,0.14401591,0.15210344,0.15739626,0.16154963,0.16593416,0.17104618,0.17577519,0.17787075,0.17486884,0.16638212,0.15475725,0.14409937,0.1372956,0.13514255,0.13735253,0.14436878,0.1566063,0.17287873,0.18986483,0.2039506,0.2126786,0.21502365,0.2106844,0.20018715,0.18525611,0.16847515,0.15230237,0.13799667,0.12586792,0.11573321,0.10758651,0.10150409,0.09778937,0.096791804,0.0984135,0.10148695,0.10401703,0.10463822,0.103517294,0.10208582,0.101525135,0.102075346,0.10312253,0.103776835,0.10329311,0.101035826,0.09677275,0.090640344,0.08389568,0.07885661,0.0782825,0.083353795,0.09256143,0.102502145,0.11020317,0.114654295,0.11639821,0.1161216,0.11404047,0.11024782,0.105422266,0.100643255,0.096775286,0.09390578,0.091511704,0.08906665,0.08641384,0.083817564,0.08159236,0.07988781,0.07851607,0.07712692,0.07543758,0.0734243,0.071302176,0.069267295,0.067403205,0.06558669,0.063716374,0.061712187,0.05966725,0.05767751,0.055865716,0.054168772,0.05246171,0.050586585,0.048632454,0.046841446,0.045462042,0.044462252,0.043566525,0.042505514,0.041480362,0.04182106,0.046158403,0.057566505,0.07683962,0.10100919,0.123805344,0.14045249,0.14979453,0.15476662,0.15749958,0.15837342,0.15601765,0.15084182,0.14484428,0.14052713,0.13927633,0.14164297,0.1478901,0.1574247,0.16829592,0.17778982,0.18395962,0.1861207,0.18401958,0.1770999,0.16523261,0.14973398,0.13355035,0.11948072,0.109106064,0.102315575,0.0987556,0.09808487,0.10034898,0.105259836,0.11227518,0.12029334,0.12777644,0.1334266,0.13707535,0.13998826,0.14344329,0.14732116,0.14988182,0.14963955,0.14685334,0.14355554,0.14192528,0.14356405,0.1498578,0.1620397,0.17987423,0.19987245,0.2162739,0.22376005,0.22040077,0.20799862,0.19110005,0.17556874,0.16671105,0.16699405,0.17442028,0.18385787,0.1907111,0.19380437,0.19511282,0.19694996,0.20010185,0.20403145,0.20789307,0.21068399,0.21089847,0.20744197,0.20086522,0.19340563,0.1869505,0.18134761,0.17496787,0.16676624,0.15777431,0.15037404,0.14684413,0.14789468,0.15257835,0.15893637,0.16540098,0.17159058,0.17785044,0.18428217,0.19029534,0.19554083,0.2004081,0.20570119,0.21188073,0.21899974,0.22739254,0.23702578,0.24712102,0.2559264,0.26297352,0.26960874,0.27800754,0.28842446,0.29872903,0.30622005,0.30937994,0.3081368,0.30203453,0.2893853,0.26710537,0.23299956,0.18817973,0.13894852,0.095276795,0.06671664,0.057794362,0.06506257,0.07850654,0.08609366,0.08113143,0.06531653,0.047308307,0.03649584,0.039246667,0.05653004,0.08422235,0.113678716,0.13607644,0.14644824,0.14560184,0.13715534,0.12464053,0.110495865,0.09659464,0.08432587,0.0741306,0.066059604,0.060232874,0.056991298,0.0561782,0.057304602,0.06001235,0.064451404,0.07056322,0.077274054,0.08265347,0.08515311,0.08486882,0.08321074,0.081717275,0.08103198,0.081320554,0.0826009,0.08457472,0.08583325,0.08463076,0.08022398,0.074118525,0.06874994,0.06595602,0.065745495,0.06731516,0.06995966,0.07405358,0.08076709,0.09159715,0.106472425,0.12306905,0.13693641,0.14489408,0.14657857,0.14536957,0.14545107,0.15248793,0.17353632,0.21856014,0.2898247,0.37365234,0.43761244,0.45314026,0.41532454,0.34901443,0.28704903,0.24963711,0.23717107,0.23941131,0.24632557,0.2530702,0.2586561,0.26186618,0.25927386,0.24809135,0.23080395,0.21602716,0.21248072,0.22154562,0.2352281,0.24208516,0.23567797,0.21733284,0.19276023,0.16639045,0.1408572,0.11925448,0.10591299,0.10368598,0.11211423,0.1319617,0.16919981,0.22929893,0.30300224,0.36155686,0.37555543,0.3398827,0.27907574,0.22483146,0.19381374,0.18560733,0.194059,0.21467344,0.243788,0.28238308,0.33421063,0.3976651,0.4523548,0.46988988,0.4371101,0.37078238,0.30224574,0.253212,0.22756563,0.21799631,0.21673691,0.21577986,0.21102144,0.20211886,0.19459982,0.1919195,0.1928431,0.1920926,0.18767744,0.18327981,0.18372719,0.18845284,0.191073,0.18726742,0.18159024,0.18771885,0.22088881,0.28767744,0.37642524,0.45659947,0.4934993,0.47167826,0.40665793,0.33208156,0.2752041,0.24295299,0.22746341,0.21828264,0.2097612,0.20053995,0.19158347,0.18410265,0.17923488,0.17769456,0.18039255,0.18713732,0.19423895,0.19466351,0.18176621,0.15591747,0.123660095,0.09345787,0.06935104,0.05288929,0.046402127,0.053628013,0.075593464,0.10799334,0.14727105,0.19686209,0.2650238,0.34820357,0.42065775,0.44651094,0.41027078,0.3334825,0.2579507,0.21381481,0.20348088,0.21339722,0.23028617,0.25079533,0.27854422,0.3215219,0.37865332,0.4335132,0.45711744,0.43408158,0.37546983,0.31295848,0.271602,0.2582885,0.26275817,0.27117324,0.27038518,0.25428715,0.22259434,0.18327938,0.14578263,0.11936498,0.10835897,0.11407902,0.13333207,0.16028933,0.1863123,0.20449327,0.21244691,0.2154795,0.2241978,0.251101,0.30336732,0.3751016,0.44367996,0.4787961,0.4625893,0.40370044,0.3314627,0.27453372,0.24429734,0.23485951,0.2339847,0.23287617,0.22902535,0.22373687,0.21907115,0.21611021,0.21658415,0.22277643,0.23610868,0.2521415,0.2619114,0.25551847,0.23082334,0.19367419,0.15605192,0.12795822,0.114152305,0.11213242,0.11570755,0.1187719,0.11954686,0.12360567,0.14406173,0.1967805,0.2828501,0.37839398,0.43779293,0.4286194,0.35305676,0.24906473,0.15794615,0.10439915,0.09375433,0.11947766,0.17052513,0.23150425,0.29526743,0.35710248,0.4112885,0.4384395,0.42390856,0.37099385,0.30607232,0.25611928,0.23284565,0.2297578,0.23319036,0.23117423,0.21770333,0.19386132,0.16593492,0.14239134,0.12914176,0.12890023,0.14080335,0.16231538,0.18878888,0.21444611,0.23385626,0.24425985,0.24675111,0.24699338,0.25553834,0.28683117,0.34682858,0.42223787,0.47748172,0.48131153,0.4290241,0.34948683,0.27798995,0.23450772,0.21684547,0.21412314,0.21665569,0.21903993,0.21811157,0.2132053,0.20696098,0.2053024,0.21371265,0.23360252,0.258268,0.27619645,0.27590021,0.25516507,0.22048998,0.18421894,0.15577567,0.13959564,0.13462424,0.13703305,0.14212267,0.14593202,0.14906707,0.15958302,0.19276275,0.25758922,0.34246722,0.41250876,0.43388447,0.39958298,0.3356656,0.27884397,0.25219443,0.25738797,0.2803801,0.3046423,0.32010546,0.33435836,0.3614111,0.40533075,0.44299087,0.44418684,0.39816573,0.3273742,0.26648498,0.23722117,0.24029739,0.2629452,0.2899777,0.30771184,0.3089328,0.29393056,0.2698798,0.244379,0.22230856,0.20518152,0.19467814,0.19222589,0.19778226,0.20660879,0.21320121,0.21445173,0.21509355,0.22486274,0.25651398,0.31382424,0.38433376,0.43684348,0.44259712,0.3963144,0.3234381,0.25841382,0.22072905,0.20754774,0.20585828,0.20693642,0.20914583,0.21372272,0.21976544,0.22493325,0.22760296,0.22802795,0.22795568,0.22875042,0.23073407,0.23200308,0.22949839,0.22065707,0.20528619,0.18623568,0.16728847,0.15155542,0.13979778,0.13199764,0.12791687,0.1291308,0.14002536,0.16948128,0.22341293,0.2940754,0.3540922,0.37273124,0.3394244,0.27405682,0.21103491,0.1757588,0.17445181,0.19809686,0.23207574,0.2645118,0.2950584,0.33334434,0.38416457,0.4315083,0.44554958,0.4094309,0.3370924,0.2628121,0.2138802,0.19708957,0.20150787,0.21289937,0.21858151,0.21337919,0.19665088,0.17427878,0.15142338,0.13279594,0.12019371,0.11755558,0.12802337,0.15141755,0.17979617,0.20288378,0.21445699,0.21798725,0.22419417,0.24809928,0.2997551,0.3753724,0.44958678,0.488889,0.473258,0.4141487,0.34258434,0.28690842,0.25536358,0.24182628,0.23764753,0.23859352,0.24262166,0.24567674,0.2434247,0.23397566,0.22133549,0.21241175,0.21305852,0.22223379,0.23217173,0.23216139,0.21695244,0.18993424,0.16171928,0.14224398,0.13563381,0.138502,0.14485987,0.1505792,0.15717159,0.170922,0.20210485,0.25831926,0.334764,0.4066867,0.43974137,0.41417125,0.3423551,0.25940105,0.19851075,0.17246942,0.1770897,0.19953354,0.23032594,0.2659265,0.31218192,0.36952806,0.42379698,0.44617292,0.41927743,0.35299674,0.2791635,0.22602165,0.20292115,0.20235527,0.21025454,0.2139004,0.20576476,0.18581648,0.15946908,0.13313355,0.111189164,0.09729948,0.09627872,0.11147045,0.1410297,0.17622502,0.20700319,0.22708558,0.23740357,0.24494052,0.2613517,0.29943573,0.36223292,0.4349599,0.48626766,0.49147895,0.4496821,0.3857148,0.32769337,0.29047787,0.27209544,0.2635118,0.25669256,0.24747054,0.23589922,0.22488558,0.2182575,0.21866225,0.22656913,0.24082263,0.25631568,0.26489988,0.257074,0.23000784,0.1887122,0.14476787,0.1091819,0.08930356,0.08649776,0.096375585,0.111562334,0.12565319,0.139588,0.16196346,0.20694125,0.27771756,0.3579603,0.41082445,0.40831864,0.35000876,0.26712224,0.19553322,0.15692104,0.15369551,0.17458314,0.20530736,0.23403609,0.26506636,0.3063334,0.3576256,0.3943453,0.39201716,0.34634647,0.28214967,0.22801103,0.1983636,0.18978031,0.19106485,0.19051439,0.17921239,0.1552748,0.12374874,0.09303904,0.06856436,0.053305734,0.051369146,0.06819559,0.10479301,0.15179843,0.19336164,0.21700378,0.22211647,0.21983747,0.22733253,0.26140967,0.32719857,0.40919816,0.47170368,0.48197687,0.43458065,0.35586765,0.28156412,0.23239972,0.20918454,0.2028166,0.20510465,0.2108156,0.21682912,0.22121352,0.22334379,0.2235804,0.22345082,0.22594155,0.23328151,0.24404764,0.2511209,0.24732612,0.2304296,0.2062912,0.18285072,0.16608255,0.15698217,0.15376253,0.15255983,0.14988737,0.14639746,0.15063001,0.17820036,0.23799777,0.31957385,0.38965333,0.41644385,0.39180627,0.3385109,0.28776345,0.25928822,0.25512302,0.26628792,0.28176734,0.293999,0.30877388,0.33762965,0.38489294,0.43111977,0.44975686,0.42942104,0.38597116,0.34465492,0.32005343,0.31391457,0.3207066,0.33531022,0.3478576,0.35023704,0.33768845,0.31458527,0.28611434,0.25676483,0.22935422,0.20952986,0.2029411,0.21067147,0.22652812,0.24072635,0.24569242,0.24057198,0.2340573,0.24362259,0.28634074,0.3619653,0.4450636,0.49772444,0.49920583,0.45883274,0.40633938,0.3638003,0.3361096,0.3155737,0.2983786,0.28686503,0.28539142,0.29163322,0.2988703,0.30124006,0.30034372,0.30170712,0.30942896,0.31891653,0.3196987,0.30160347,0.26508844,0.22140856,0.18684985,0.17140497,0.175196,0.1907882,0.20991796,0.22652353,0.23823547,0.24729447,0.26254317,0.2936832,0.3397963,0.38145626,0.39134917,0.35636774,0.2895107,0.22161911,0.18199565,0.18542843,0.22735174,0.2867106,0.33905682,0.37361503,0.39863086,0.42424288,0.4441537,0.43860325,0.39735726,0.3334446,0.27479348,0.2444054,0.24944925,0.28049862,0.31804374,0.34110853,0.33937058,0.31769958,0.29173216,0.27456963,0.27056217,0.27666387,0.28940043,0.30687055,0.32616076,0.34118357,0.34466216,0.33348516,0.31131327,0.2889152,0.2812013,0.30214417,0.35286805,0.41534933,0.45768607,0.4584436,0.4209441,0.3706427,0.33097735,0.31022307,0.30152282,0.29620492,0.29029045,0.28484014,0.2812955,0.2796022,0.2790602,0.2803764,0.28531447,0.29444012,0.30373856,0.30730292,0.30074564,0.2876418,0.27513674,0.26935455,0.26784202,0.26339677,0.24993686,0.22949618,0.20991735,0.19880994,0.19932018,0.21486394,0.25306043,0.31737688,0.3932631,0.44688407,0.45034304,0.40307018,0.33193064,0.26729095,0.2268746,0.21696216,0.23481673,0.27414596,0.32315674,0.37789294,0.43437645,0.48486102,0.508053,0.48940006,0.4338843,0.36703447,0.31365278,0.2845876,0.2759969,0.27627397,0.271439,0.25066867,0.21303527,0.16826975,0.13033165,0.10885048,0.10657676,0.12182007,0.14981794,0.18434447,0.2175617,0.24419363,0.2616185,0.27162412,0.27919543,0.29383254,0.32709432,0.3825933,0.44730675,0.49110064,0.48841396,0.43657663,0.36081865,0.2939566,0.25638396,0.24919705,0.2609,0.27882493,0.29343727,0.30149218,0.30305457,0.30030957,0.29435587,0.28665137,0.279956,0.27605984,0.2729135,0.26360613,0.24612652,0.22573231,0.21360207,0.2130723,0.21916538,0.22212227,0.2178505,0.20714591,0.19249515,0.17707902,0.1688556,0.18410705,0.23292632,0.3054842,0.36486518,0.37687016,0.33386144,0.26552072,0.20966776,0.19013496,0.20639537,0.24378598,0.28564927,0.32178214,0.35712072,0.39950514,0.44789597,0.47956768,0.47312346,0.4267234,0.36483955,0.31487703,0.29082286,0.29095984,0.30480504,0.31870845,0.31825328,0.2974917,0.26165757,0.22385569,0.192852,0.17062409,0.15690744,0.1552711,0.16998087,0.19866522,0.2315836,0.2576611,0.27251747,0.27916119,0.2874196,0.31015885,0.35588774,0.4166762,0.46571505,0.47445473,0.43587628,0.37127987,0.3116221,0.2748754,0.25905803,0.25282583,0.24856925,0.24596244,0.24840502,0.2566491,0.26836088,0.279357,0.28793004,0.29408765,0.29826018,0.29818496,0.29097936,0.27562752,0.25518093,0.23287444,0.2098688,0.18474019,0.15862308,0.13601832,0.12319832,0.122976996,0.13544494,0.16163768,0.20780678,0.27839652,0.36454472,0.4391266,0.47294107,0.4576275,0.41203418,0.3662823,0.33880082,0.3329666,0.34103405,0.35528827,0.36858535,0.3835226,0.40719607,0.4435084,0.47805056,0.4884092,0.4628705,0.4129082,0.3610703,0.32291916,0.3028512,0.2977833,0.30389702,0.3128667,0.3171536,0.3114896,0.29896343,0.28404403,0.27023628,0.25736028,0.24628054,0.23979807,0.24052595,0.24704826,0.25306758,0.25158274,0.24070464,0.22904555,0.23522274,0.2770917,0.35407686,0.43855846,0.49026528,0.48591745,0.43499133,0.36932454,0.31685087,0.2883384,0.27962258,0.28252235,0.28962103,0.29585674,0.29798278,0.29509333,0.28846455,0.28118375,0.27779838,0.28182843,0.29269138,0.30356362,0.3049754,0.2918854,0.26711047,0.23821288,0.20957147,0.18191557,0.15663314,0.14179398,0.14579807,0.16964339,0.2036946,0.24013738,0.2792832,0.3233665,0.36117947,0.37096968,0.34140778,0.2872607,0.239223,0.22028035,0.23233049,0.26293945,0.29488635,0.31774482,0.33124352,0.34728757,0.3731948,0.40079102,0.4063182,0.3763621,0.32012892,0.26619703,0.23654501,0.23732866,0.25757453,0.28381634,0.30453613,0.3161397,0.31884494,0.3152269,0.30540037,0.2884084,0.26474333,0.24048966,0.2252665,0.225922,0.2387505,0.25091913,0.25082555,0.23890905,0.2295692,0.24106129,0.28466555,0.35335717,0.4224424,0.45876873,0.44401303,0.38681933,0.3178543,0.26594344,0.24242878,0.24062109,0.24786766,0.25465778,0.25720873,0.25543252,0.2511088,0.24663322,0.2446454,0.24684234,0.25437567,0.2659231,0.27874452,0.28761235,0.2897502,0.28396073,0.27201366,0.25480732,0.23477332,0.21579345,0.20303911,0.19865851,0.19987078,0.20342924,0.21242623,0.23937492,0.29124704,0.35606837,0.39921904,0.3933781,0.34033298,0.2756737,0.23648691,0.23833613,0.26941523,0.30628976,0.33141163,0.34188667,0.3534083,0.38221624,0.42860487,0.4657997,0.4656751,0.42255226,0.361558,0.31400797,0.29645094,0.30391517,0.3204184,0.32961378,0.32306066,0.30274633,0.2776827,0.25595945,0.23896585,0.22395511,0.21009491,0.2020952,0.20502831,0.2182194,0.2332397,0.24113874,0.2396969,0.23702665,0.24711657,0.28343663,0.34692574,0.42010558,0.4698889,0.47106728,0.42387152,0.3554003,0.29591164,0.2606,0.24622299,0.24261256,0.24164289,0.23983955,0.23682016,0.23319928,0.22952776,0.2255433,0.22086638,0.2148502,0.20709085,0.19667822,0.18343806,0.16773576,0.15166043,0.13699384,0.12481623,0.11381183,0.10236398,0.09022802,0.08050098,0.07755732,0.08325956,0.093994655,0.102687985,0.103754364,0.096945055,0.08606645,0.075269185,0.06633168,0.05909106,0.05305518,0.04786459,0.04317427,0.038206667,0.032570366,0.026341578,0.02030946,0.015256391,0.01197311,0.011052196,0.013020453,0.018047864,0.025670396,0.03489967,0.044684652,0.05435963,0.06325871,0.07049843,0.07574892,0.08061522,0.088232525,0.10101227,0.117886566,0.13509645,0.1481597,0.15576583,0.15894355,0.16028373,0.15983291,0.15700798,0.15180679,0.14747526,0.14721556,0.15184475,0.15918095,0.16590457,0.16839327,0.16341381,0.15051137,0.13524534,0.12611388,0.12885271,0.14062147,0.15428084,0.16343342,0.16669296,0.16475314,0.1591081,0.15133125,0.14455944,0.14153695,0.14323892,0.14769126,0.15148221,0.15081306,0.14279813,0.12801282,0.111584194,0.10184317,0.103794515,0.115376376,0.12814514,0.13453412,0.13231277,0.1246163,0.114869736,0.104830645,0.09546718,0.08848134,0.084549464,0.08124017,0.07543239,0.06746685,0.06269004,0.06619828,0.078009106,0.0923888,0.103190266,0.10751113,0.10599222,0.099302255,0.087311186,0.070126176,0.050555337,0.032956313,0.020977749,0.016974188,0.023748076,0.04632224,0.08503449,0.1315374,0.16763486,0.18098803,0.17177413,0.15367635,0.13895941,0.13308384,0.13436496,0.13952665,0.14560445,0.14972681,0.15111506,0.15086329,0.15254682,0.15904017,0.17506576,0.20777439,0.264956,0.3428118,0.41868925,0.4601885,0.44939423,0.39888155,0.34048578,0.3007488,0.28457794,0.28291035,0.285701,0.2892802,0.29154587,0.28860307,0.2763438,0.25548452,0.23413344,0.22354913,0.23247094,0.25873733,0.29030442,0.3091574,0.3052329,0.27940091,0.24252932,0.20393051,0.1695116,0.1428649,0.12929322,0.13226844,0.14980602,0.1763456,0.21092828,0.25845394,0.31861606,0.37370273,0.39562514,0.37004438,0.3111953,0.2494837,0.20739846,0.18975054,0.19360234,0.2146793,0.24864419,0.28822258,0.33040443,0.3728346,0.40849134,0.42187378,0.40320817,0.35893223,0.30872166,0.27020034,0.2511985,0.24996106,0.2593396,0.26741388,0.26390567,0.2458813,0.2206583,0.19796856,0.18277931,0.17387003,0.16980027,0.17297651,0.1869334,0.20950226,0.23044263,0.23831569,0.2305274,0.21909465,0.22466247,0.26507998,0.3388308,0.42166603,0.47574517,0.4778324,0.4335384,0.37240818,0.32150766,0.29038522,0.2730625,0.26082447,0.24956478,0.23894347,0.22977065,0.22209178,0.21516038,0.20901819,0.20602547,0.21143734,0.22617948,0.24371374,0.24943452,0.23481363,0.20206286,0.16483992,0.13452567,0.11667826,0.1108377,0.11683182,0.13419618,0.16049959,0.19287266,0.2328369,0.28871086,0.36218098,0.43796536,0.4828585,0.4744501,0.41759178,0.34444824,0.28502914,0.25338474,0.24850501,0.26412073,0.29341364,0.32792267,0.36811522,0.41592348,0.46867046,0.50378084,0.50003856,0.45409468,0.38999215,0.3360916,0.30869946,0.30634823,0.31710625,0.3245771,0.31398913,0.28066,0.23303296,0.18802892,0.15892233,0.15005341,0.15746312,0.17540811,0.19811578,0.2197364,0.23459457,0.24039364,0.2419508,0.24898298,0.2725494,0.31920376,0.3864888,0.4578804,0.5057428,0.5072041,0.46191815,0.39449978,0.33612272,0.30339077,0.29306892,0.29189914,0.28985086,0.28419265,0.2773708,0.27184144,0.26872388,0.26877224,0.27412093,0.28733805,0.30689883,0.32501253,0.32928512,0.31212556,0.27673694,0.23688579,0.20676757,0.19208491,0.18856798,0.18832761,0.18653639,0.18300979,0.1814035,0.1894114,0.21823092,0.27332756,0.34345153,0.39870098,0.41058588,0.372653,0.30538943,0.23827286,0.19229974,0.17639887,0.18932974,0.22406797,0.26755467,0.31344518,0.36000004,0.40662196,0.43788728,0.4374809,0.40149724,0.34925005,0.30545542,0.28483868,0.28726172,0.30155084,0.31289014,0.3052036,0.2740133,0.22705251,0.18314058,0.15549244,0.14879525,0.15794708,0.17710371,0.20025384,0.22275288,0.23975563,0.24866557,0.2504229,0.2501351,0.2562237,0.27834865,0.32147,0.37698114,0.42087638,0.42711505,0.38829467,0.32217154,0.2576339,0.21357141,0.19216745,0.18538488,0.18505162,0.18564717,0.18489666,0.18341117,0.18573527,0.19737339,0.22188568,0.25733623,0.29696253,0.32967106,0.34400284,0.3329958,0.30035925,0.2599118,0.22818117,0.21421511,0.21571456,0.22371705,0.22945118,0.22902454,0.22324453,0.21944536,0.23026717,0.2667079,0.32360324,0.37515214,0.39078072,0.36127415,0.3073546,0.26220226,0.2465827,0.26077133,0.29241157,0.32658255,0.35279366,0.3702396,0.3884709,0.41489208,0.4411784,0.44637015,0.41767004,0.36524948,0.31420338,0.2849761,0.28284273,0.2992703,0.3204141,0.33167708,0.32655814,0.30756065,0.28555086,0.26893723,0.26015213,0.25559816,0.25230467,0.25020412,0.2507147,0.2527387,0.25279102,0.2480167,0.2413746,0.24119769,0.25893217,0.30046973,0.3593688,0.41410875,0.43917358,0.42339602,0.3790199,0.33237636,0.30283794,0.29266712,0.2921126,0.29222715,0.29053214,0.28888467,0.28892612,0.29043853,0.29236734,0.29444203,0.29846245,0.30772722,0.32279524,0.33821914,0.3425062,0.32823187,0.29745373,0.26276,0.23590182,0.2217129,0.21668471,0.21470232,0.21184833,0.20758615,0.20687358,0.21911402,0.2547948,0.31243336,0.3720192,0.40227923,0.3851178,0.32967296,0.26548585,0.22005862,0.20575966,0.221319,0.2564634,0.29847428,0.3358425,0.36824083,0.39797255,0.42229888,0.42543164,0.39790952,0.34755155,0.29961136,0.27527866,0.28113315,0.3083174,0.34106672,0.36224976,0.36013833,0.33376953,0.29319218,0.25116512,0.21575862,0.18940157,0.17537628,0.17882037,0.20188121,0.23696585,0.26939616,0.28712344,0.28836492,0.2828597,0.2850941,0.30823538,0.35285687,0.4051673,0.43992928,0.441053,0.41025245,0.36688313,0.3290811,0.30543336,0.2945043,0.29291216,0.29796854,0.30615845,0.31209543,0.30995193,0.29731563,0.27778494,0.26042095,0.25643516,0.26986638,0.2942569,0.31238452,0.3117591,0.29135522,0.26481912,0.24533576,0.23845588,0.23876761,0.23914629,0.2353431,0.22907229,0.22633992,0.23734237,0.2726357,0.33250368,0.40020648,0.4440765,0.44202778,0.39523444,0.33052158,0.27597588,0.24785243,0.24697936,0.26610073,0.29649052,0.33016205,0.3692857,0.41688904,0.46975625,0.5049587,0.5014983,0.45566842,0.3900961,0.3313967,0.2968419,0.2896897,0.30443493,0.32841137,0.3444265,0.34073305,0.31696662,0.28239137,0.24591799,0.21293475,0.18803538,0.17734413,0.18462764,0.20591961,0.23117994,0.25093675,0.26216283,0.268737,0.27918312,0.30416694,0.3485802,0.40435112,0.44855893,0.4597051,0.43390837,0.38915703,0.34929433,0.32695505,0.31996217,0.3188567,0.31685534,0.3111343,0.30204526,0.29078397,0.2798791,0.27335712,0.27533984,0.28871182,0.31028566,0.33041123,0.33425447,0.31249645,0.26772174,0.21563274,0.17484242,0.15666002,0.1601041,0.1748141,0.18909387,0.19560973,0.1966899,0.20306754,0.23119219,0.28846216,0.3634336,0.42377806,0.43907222,0.4009216,0.32952732,0.25597864,0.20441025,0.18488221,0.19400711,0.22050793,0.25107992,0.28409243,0.32633635,0.3816254,0.43256631,0.45466223,0.43609402,0.39250097,0.34973633,0.3262575,0.3251809,0.33777222,0.3495681,0.34381947,0.31349793,0.2638616,0.21028681,0.16506724,0.1352828,0.1254135,0.13970374,0.17678975,0.22415252,0.26354548,0.28226146,0.2813144,0.27268398,0.27165318,0.29091766,0.33465242,0.3929089,0.44119966,0.4535664,0.42179158,0.36129367,0.29925722,0.254657,0.23199032,0.22570741,0.2294075,0.23805757,0.24785388,0.25508896,0.2574167,0.2549335,0.2512445,0.25197515,0.26176322,0.27913025,0.29612967,0.30207917,0.29240328,0.2705736,0.24609734,0.22711946,0.21816243,0.21820079,0.22223295,0.22322543,0.2182552,0.21335293,0.22328748,0.26045454,0.32032076,0.377068,0.39995623,0.37900877,0.33321503,0.29389432,0.27919507,0.28782895,0.30822542,0.33129045,0.35294297,0.37542427,0.40340197,0.43781802,0.46763802,0.47626188,0.45595363,0.41621506,0.3747103,0.3431144,0.32518566,0.32099319,0.33083788,0.34947467,0.36737314,0.37411758,0.36592093,0.34433022,0.31459367,0.28344357,0.2593521,0.25009665,0.25875008,0.28109455,0.30722272,0.32628667,0.33143577,0.3249344,0.31902853,0.3318254,0.37105903,0.42577866,0.46785316,0.47706425,0.45280036,0.41504636,0.38209972,0.36171055,0.34962454,0.34116042,0.33450696,0.33010122,0.32602713,0.3187342,0.30603227,0.2915475,0.28274807,0.28717092,0.30224708,0.31617153,0.31094214,0.28068236,0.23430765,0.1948417,0.17977785,0.19363125,0.22456767,0.25563994,0.27320263,0.27326968,0.26195425,0.25382027,0.2658086,0.30432224,0.3556889,0.38975665,0.38282862,0.3351054,0.27186134,0.22485745,0.21510775,0.24571328,0.3014127,0.360986,0.40684986,0.439415,0.46469298,0.4854004,0.488785,0.46504244,0.4171153,0.3664235,0.3342395,0.33104685,0.35053325,0.3770844,0.39329958,0.3888018,0.3650491,0.3328432,0.30462125,0.28594294,0.2758938,0.27195325,0.27511,0.28716305,0.3058748,0.3233988,0.3319905,0.32947195,0.32223997,0.32159078,0.34180877,0.38840845,0.45201924,0.50398237,0.5183713,0.48888424,0.43657064,0.3883494,0.3594077,0.34726274,0.34287474,0.34025952,0.33860382,0.33844003,0.33888128,0.33800778,0.33609,0.33484665,0.33700535,0.3409303,0.34360698,0.34005868,0.33116868,0.3204726,0.31391153,0.31099558,0.30631307,0.2923118,0.26835158,0.2403981,0.21705277,0.20299725,0.20199746,0.2216258,0.2685772,0.33706507,0.40046787,0.42857,0.40660492,0.34695426,0.275531,0.21798639,0.19093436,0.19814803,0.23185937,0.27599844,0.32211068,0.36781648,0.4126602,0.44247916,0.44406483,0.41414106,0.3690573,0.3271365,0.3010672,0.2934288,0.2995801,0.30814198,0.30238068,0.27256465,0.22106123,0.16415405,0.11878828,0.09634679,0.09748945,0.115749836,0.14117451,0.16473208,0.18165904,0.19118966,0.19719441,0.2066201,0.22979309,0.2761202,0.34611776,0.42317995,0.4760202,0.477944,0.4276854,0.3523297,0.2873344,0.2528623,0.2481244,0.2604778,0.27841243,0.29511416,0.30813244,0.3164151,0.31907538,0.31501457,0.30513403,0.29424858,0.28839532,0.28848672,0.2875667,0.27700472,0.25542915,0.23005538,0.20944317,0.19665085,0.18942942,0.18470573,0.180373,0.17474379,0.1675788,0.16470432,0.18017031,0.2257741,0.29585695,0.36039457,0.3851242,0.3572103,0.29704234,0.2396854,0.21153264,0.21846505,0.2503221,0.2909242,0.32727325,0.35882533,0.39314488,0.43356824,0.465647,0.46876594,0.43559694,0.38241974,0.3343558,0.30758557,0.30399692,0.31506607,0.3279555,0.32770848,0.30663863,0.267907,0.22453596,0.18772505,0.16272703,0.15016757,0.15118676,0.16592473,0.19023167,0.21534874,0.23327816,0.24137199,0.243608,0.2491483,0.26998594,0.3147749,0.37846676,0.4386835,0.46664038,0.4489851,0.3975195,0.3392253,0.2948047,0.2688726,0.2550696,0.24764341,0.24546999,0.24936813,0.2575144,0.26587656,0.27066088,0.2719834,0.27301553,0.27727035,0.28245375,0.28121912,0.26594725,0.23806058,0.20605995,0.17894512,0.15799288,0.14062335,0.12570596,0.11697643,0.11748618,0.12777466,0.14741229,0.18131416,0.23553431,0.30597118,0.3702842,0.39908144,0.38044655,0.3301113,0.27922854,0.2492807,0.24533446,0.262182,0.29293704,0.32994616,0.3660169,0.40041852,0.43439963,0.46413288,0.47547254,0.4587184,0.41828898,0.37191024,0.33517358,0.3158848,0.31392178,0.3258464,0.34229437,0.35285175,0.3503959,0.3379904,0.32243726,0.30861112,0.29551956,0.28207788,0.27111945,0.26804245,0.2746335,0.2857609,0.292626,0.28971425,0.2805821,0.27817008,0.29883015,0.34810638,0.41255334,0.4626154,0.4755164,0.44910905,0.40254283,0.35664293,0.32330084,0.30367604,0.29556477,0.29618186,0.30221677,0.30920884,0.31219336,0.30745146,0.2940936,0.2749809,0.25533313,0.24074076,0.23435338,0.23644213,0.24365449,0.2513938,0.25450912,0.24928646,0.23375152,0.21061558,0.1885302,0.17875177,0.18641938,0.20395349,0.21570188,0.21002318,0.18881534,0.16325726,0.14470267,0.13819034,0.14653985,0.17056514,0.20724475,0.244042,0.26547733,0.26186773,0.23727517,0.2055099,0.18180831,0.17443095,0.18078329,0.1897866,0.18915914,0.17479956,0.15368788,0.13720866,0.13056989,0.13065822,0.13365705,0.14452839,0.17172317,0.2165315,0.26410654,0.2953552,0.2993431,0.28178334,0.2555535,0.23359041,0.22299337,0.22504602,0.23296022,0.23588775,0.22774796,0.21603753,0.21923847,0.25547236,0.32699654,0.41468868,0.4831461,0.50357944,0.47109345,0.40975788,0.3522233,0.31994346,0.31336108,0.32039642,0.32903793,0.333969,0.33589265,0.33544767,0.33219507,0.32426766,0.31139687,0.29307595,0.2701166,0.2455483,0.22647564,0.21945657,0.22437192,0.23307289,0.23561792,0.22865903,0.21639478,0.20586342,0.20066452,0.20007746,0.2003923,0.19789498,0.19038187,0.17808197,0.16230367,0.144242,0.12591876,0.11265721,0.11259178,0.13066658,0.1627505,0.19559473,0.21485625,0.21303922,0.19302249,0.16477437,0.14038254,0.12847601,0.1309871,0.14275485,0.15594737,0.16575919,0.1738352,0.18587677,0.20656227,0.23327665,0.25689378,0.2657,0.25640297,0.2343734,0.2112471,0.19279487,0.1795965,0.16881268,0.16248278,0.16417225,0.17550439,0.19097815,0.20264864,0.2061357,0.20592786,0.21419813,0.24485469,0.30365697,0.37876657,0.44175732,0.46422565,0.43892804,0.3850297,0.33175477,0.29729685,0.28220558,0.27777305,0.2762891,0.27464125,0.27206004,0.26822063,0.2622092,0.25380132,0.24362777,0.23321456,0.22333962,0.21360809,0.2036792,0.19420178,0.1868084,0.18103981,0.1742785,0.16255675,0.14486915,0.12466457,0.10977793,0.10765729,0.12045434,0.14198424,0.1616313,0.17035146,0.16587366,0.15170239,0.13406633,0.11856625,0.108483404,0.104245864,0.10313714,0.10103827,0.09440756,0.082510956,0.06746006,0.052877426,0.04199852,0.03626129,0.035201702,0.037084375,0.04019323,0.04375479,0.048274767,0.05486734,0.06377292,0.07295874,0.07908819,0.08045869,0.08031452,0.084790386,0.09822512,0.11813748,0.13754745,0.15012746,0.15535998,0.1573901,0.16068019,0.1656902,0.16907299,0.16769643,0.16230811,0.1574213,0.15698786,0.16122645,0.16601454,0.16561793,0.15585107,0.13716961,0.116517514,0.10390061,0.1063881,0.122219145,0.14328985,0.16089964,0.17078866,0.17236914,0.1672176,0.15905567,0.15327346,0.15451257,0.16192456,0.17046587,0.17301898,0.1667556,0.15230109,0.13545658,0.1230625,0.12210506,0.13427347,0.15566798,0.17792432,0.19411306,0.20099457,0.19930767,0.18999714,0.17448479,0.15448636,0.13452752,0.1197828,0.11533127,0.124071695,0.14607877,0.17775874,0.21129441,0.23842554,0.25369778,0.2580974,0.2558578,0.2512001,0.24471335,0.23516189,0.22190833,0.20718662,0.19430536,0.1853082,0.18023778,0.1797752,0.18784316,0.20826335,0.23908092,0.26882923,0.28420594,0.27933478,0.26032168,0.2381763,0.2203229,0.20800693,0.19962549,0.19549096,0.19696774,0.20479895,0.21595667,0.22588612,0.23050608,0.2322588,0.2403845,0.2690837,0.32128263,0.38248456,0.4217271,0.41993463,0.38101208,0.33179963,0.29468176,0.2778488,0.27527416,0.28035817,0.28941724,0.30039886,0.30984542,0.31427094,0.31312242,0.31046236,0.31202182,0.32089058,0.3310714,0.33019364,0.30510715,0.2560372,0.19697295,0.15170532,0.1359465,0.15104039,0.1807645,0.20400672,0.20453604,0.18122517,0.14774378,0.12682894,0.14082132,0.19383211,0.26624873,0.31852105,0.32643315,0.29790017,0.27004567,0.27138475,0.30216753,0.34228826,0.3738381,0.39584923,0.41404137,0.4366589,0.46304104,0.489702,0.5059659,0.50593144,0.4875392,0.45741272,0.4227631,0.39234272,0.37234393,0.36556852,0.36722788,0.36801288,0.36006173,0.34270462,0.32245985,0.30910823,0.31033114,0.32758033,0.35413072,0.37856376,0.3905876,0.3872834,0.37231803,0.35173693,0.33077708,0.31655988,0.32175556,0.35585818,0.41203865,0.46041384,0.46905923,0.42811716,0.3594915,0.29551026,0.25642404,0.2422419,0.2437642,0.2531134,0.26642835,0.28064,0.2915589,0.2960333,0.29534462,0.29551652,0.3031218,0.31702685,0.32648382,0.31571886,0.27765352,0.22050802,0.16621034,0.13638274,0.14002901,0.16733123,0.19609316,0.20511712,0.18674946,0.15190034,0.12366811,0.12691979,0.17080647,0.24038057,0.29936233,0.3180733,0.29599893,0.26290795,0.25050652,0.2684709,0.30582634,0.34739637,0.3871648,0.42384028,0.45770192,0.48593703,0.5050833,0.50939536,0.49480674,0.46232018,0.41876248,0.37477648,0.33930326,0.3204771,0.31914786,0.33104977,0.3431817,0.34654292,0.33644137,0.31873432,0.30060974,0.29036203,0.29083523,0.2998065,0.3100499,0.31445286,0.31060466,0.30064413,0.28779554,0.27493113,0.26731464,0.27609682,0.31030145,0.3653295,0.4165167,0.4355556,0.41152802,0.36045006,0.30945742,0.27686334,0.26379517,0.262733,0.2666856,0.27265787,0.2785094,0.28262967,0.28439823,0.2856783,0.288949,0.2957681,0.30478957,0.31089222,0.30654165,0.28603098,0.25139815,0.21186541,0.17875184,0.15742189,0.14669402,0.14183585,0.13987245,0.14007628,0.14405675,0.15613502,0.18483739,0.23658985,0.30424097,0.3618512,0.37918258,0.34608158,0.28134415,0.21801598,0.1800871,0.17436266,0.19521166,0.23104025,0.26929152,0.30243024,0.3335948,0.36770394,0.3998405,0.4130198,0.39623675,0.35671318,0.31595764,0.29154256,0.2880508,0.29778123,0.30787545,0.30531088,0.28410375,0.2485999,0.2110855,0.18236114,0.1664952,0.16270673,0.17104216,0.1933648,0.22934707,0.27249506,0.31163976,0.3359934,0.34051618,0.32930025,0.31583962,0.31839022,0.3453338,0.38580588,0.41213667,0.40458456,0.36538637,0.31742498,0.2812413,0.26411685,0.2604355,0.2624527,0.2649742,0.26601496,0.26566207,0.26511326,0.2658263,0.26911405,0.27580348,0.2856326,0.29295912,0.28792167,0.2600224,0.20989962,0.14896984,0.09496396,0.05872898,0.04388368,0.04966888,0.07701709,0.12476736,0.18584324,0.2479335,0.30282226,0.35152996,0.39793208,0.4386556,0.46136543,0.45907748,0.4375309,0.41323987,0.39809728,0.3957248,0.4028573,0.41474685,0.42673454,0.43565747,0.44381937,0.45318937,0.4609042,0.45501134,0.4278091,0.38241836,0.33435273,0.29855886,0.2840267,0.29013756,0.30946827,0.32950267,0.34087098,0.34353676,0.3472065,0.36029723,0.38146523,0.399281,0.40393922,0.3946054,0.37937844,0.36568165,0.3558837,0.34845755,0.34300184,0.3424919,0.35143396,0.37506524,0.41191754,0.45245716,0.4771535,0.4733448,0.44161358,0.39958027,0.36397925,0.3436385,0.3356965,0.33520374,0.33813938,0.34264258,0.34633854,0.34681317,0.3433508,0.33873263,0.337611,0.34281692,0.34944558,0.3465146,0.3219662,0.2755753,0.21983343,0.17659353,0.16108342,0.17508566,0.2039025,0.22665952,0.22732468,0.2036046,0.16870321,0.1444853,0.1533342,0.20062272,0.2685305,0.3193952,0.32702863,0.2959796,0.25968507,0.24880403,0.2698238,0.30903676,0.3492037,0.38300923,0.40948573,0.43396798,0.45967007,0.48628142,0.5034583,0.5013284,0.476493,0.43747517,0.3961506,0.3628926,0.3433405,0.33734635,0.33905503,0.33827305,0.32873896,0.31149673,0.29578528,0.29206774,0.30638197,0.33670118,0.37322393,0.40411028,0.4195048,0.41627547,0.39615,0.36538288,0.33260703,0.3091431,0.30691984,0.33032262,0.36953065,0.40015528,0.40131354,0.36988544,0.32348487,0.28304827,0.25928378,0.25052062,0.25091752,0.25668094,0.26583314,0.276227,0.28459212,0.28853238,0.28878677,0.2899388,0.29731166,0.31057897,0.32014444,0.31071684,0.27355048,0.21570969,0.15942375,0.129104,0.13613762,0.17171906,0.210869,0.22834177,0.21226855,0.1730059,0.13569124,0.12927657,0.16645981,0.23434073,0.296063,0.31840798,0.29628488,0.25663844,0.232342,0.23723567,0.26457754,0.30128166,0.34083068,0.38074842,0.42153767,0.46164703,0.49834967,0.52181786,0.52218825,0.4944342,0.44626975,0.39195767,0.3467529,0.32124695,0.31780532,0.33105624,0.34735695,0.3557067,0.35001984,0.33441672,0.31574023,0.30195725,0.29717958,0.300801,0.3084024,0.31353667,0.31238106,0.30330405,0.28797916,0.2700231,0.2579637,0.2643044,0.29915547,0.3570603,0.4133276,0.43707016,0.41576114,0.36390734,0.31070855,0.27649245,0.26421496,0.26536313,0.2715864,0.27871314,0.28527427,0.2904,0.2937123,0.29632685,0.30031225,0.30722582,0.31585577,0.32092643,0.31468353,0.2916491,0.2543957,0.21323955,0.1798249,0.15931,0.14906643,0.14441383,0.14299187,0.14541644,0.15143909,0.16224207,0.18309055,0.22226055,0.27812758,0.3317183,0.3551598,0.33553648,0.28553376,0.23280667,0.19861354,0.18996912,0.20427845,0.23353581,0.2675006,0.29778162,0.3260136,0.35638297,0.3849057,0.39498758,0.3753512,0.33280206,0.2891808,0.26260355,0.25798085,0.26745942,0.27780375,0.27518332,0.2535471,0.21820234,0.18321542,0.15975527,0.14993311,0.14991865,0.15807894,0.17751288,0.2102542,0.25113288,0.2883345,0.31075588,0.3153248,0.3094946,0.3084121,0.32807103,0.37187326,0.42371085,0.4525806,0.43816176,0.38553476,0.3227364,0.27535704,0.25231865,0.24637766,0.24698067,0.24799527,0.24808848,0.2482694,0.24915867,0.2508295,0.25374338,0.25980154,0.2715161,0.2852329,0.2902889,0.2716695,0.2256024,0.16199471,0.10132625,0.05764928,0.034638397,0.02676774,0.027462387,0.031316295,0.034666225,0.039084315,0.053978156,0.09484609,0.16548754,0.2477497,0.3048144,0.31337607,0.2800914,0.23736252,0.21268421,0.21525365,0.23959343,0.27546766,0.31384346,0.34640214,0.37451243,0.4007664,0.42255104,0.42220163,0.38651887,0.32046175,0.24967724,0.19993234,0.1838745,0.19875689,0.23263879,0.2691317,0.29369202,0.30023208,0.2931918,0.2813964,0.27122447,0.2638298,0.2580563,0.2527251,0.2479328,0.24450213,0.24304925,0.2440952,0.24782677,0.25416994,0.2608364,0.26324296,0.25745776,0.24324453,0.22474782,0.2061212,0.19029802,0.17859846,0.17288356,0.17340858,0.17839432,0.18453579,0.1902706,0.19553696,0.19996607,0.20013046,0.19175272,0.17256762,0.14648305,0.12201035,0.109772086,0.11633134,0.14108802,0.17516594,0.20589833,0.22278708,0.22168554,0.20513676,0.18026304,0.15679908,0.14317994,0.14265387,0.1502903,0.15747482,0.15707056,0.14829557,0.13367869,0.117903136,0.10569447,0.10235393,0.10918393,0.12083607,0.12737419,0.12292514,0.11155167,0.10337159,0.105301164,0.11554309,0.12801714,0.13935147,0.15119815,0.16618524,0.18295173,0.19584595,0.19783105,0.18575342,0.1630929,0.13986032,0.12720214,0.13083489,0.14794113,0.17007864,0.1892851,0.20101327,0.20318216,0.19465303,0.17658712,0.15492563,0.13775374,0.12983556,0.12890796,0.13061856,0.13415034,0.14246796,0.15572391,0.1681751,0.17326488,0.1701085,0.16439004,0.16160141,0.16330077,0.1667883,0.16920586,0.16803177,0.16164438,0.14868663,0.12973255,0.1073806,0.08573226,0.068111755,0.055923346,0.0484634,0.0442594,0.042029023,0.041275576,0.042033006,0.04449767,0.04834648,0.052368015,0.05473481,0.05411096,0.051541273,0.05115081,0.059692044,0.081702225,0.11635476,0.15520936,0.18859696,0.20923664,0.21574521,0.20865797,0.19157155,0.17182817,0.16039963,0.16372591,0.1769316,0.18732877,0.18693106,0.1799469,0.1766539,0.18110597,0.18861063,0.19293456,0.19447206,0.19826436,0.20738304,0.21915114,0.22744304,0.22816436,0.2217257,0.21313109,0.20764679,0.20726615,0.20814608,0.20372339,0.1898175,0.16889612,0.14882506,0.13729109,0.1372639,0.1462385,0.15908979,0.16999505,0.17396288,0.16962065,0.16234475,0.16186129,0.17403437,0.19348912,0.20843816,0.21108694,0.20458801,0.19644003,0.19046514,0.1856315,0.18214327,0.18388908,0.19320418,0.20589705,0.21328501,0.2092392,0.19443576,0.17482238,0.15798853,0.15079637,0.15676427,0.1746888,0.19741029,0.2162892,0.22429335,0.22012885,0.20702916,0.19234265,0.18271513,0.18088675,0.18293595,0.18344422,0.17935836,0.17291053,0.16637884,0.1617198,0.1610098,0.16826697,0.18522365,0.20629118,0.22184855,0.22403698,0.21236934,0.19034022,0.16363885,0.14037941,0.12980197,0.1377611,0.15990424,0.18556023,0.20422578,0.2131204,0.21442181,0.2119974,0.20796382,0.20453344,0.20319523,0.20428352,0.20500831,0.20287804,0.19774127,0.19251181,0.18928818,0.18730289,0.18509519,0.18262404,0.18217929,0.18444599,0.18845351,0.19211018,0.1947763,0.19670154,0.19801156,0.19868536,0.19865586,0.19819705,0.19658639,0.1919019,0.18126218,0.16292174,0.13805816,0.11108258,0.08743689,0.07089425,0.06253983,0.061812658,0.06735959,0.07666861,0.085556686,0.09029034,0.091375925,0.09577236,0.112392016,0.14462799,0.18511088,0.22097063,0.2420518,0.24701701,0.23982178,0.22594051,0.21051376,0.19953986,0.19770914,0.20472483,0.21581326,0.22545396,0.23118567,0.23117112,0.22455634,0.21271007,0.201693,0.19628637,0.19447368,0.18842931,0.17334342,0.15460522,0.14420466,0.15129304,0.17303117,0.19607665,0.20522618,0.19432567,0.16994643,0.14716403,0.13968323,0.15195878,0.17666936,0.20186691,0.21858801,0.22625731,0.22774367,0.2257396,0.22076254,0.21463482,0.21026401,0.2086271,0.20719995,0.2033245,0.19816375,0.19534947,0.19557951,0.1967659,0.19686425,0.19698429,0.1963107,0.19193059,0.18180226,0.17179339,0.17099072,0.18366604,0.20239043,0.21508229,0.21333575,0.19856845,0.17785452,0.16039759,0.15306123,0.15853332,0.17251955,0.1865753,0.19373417,0.19520079,0.19736612,0.20656955,0.22137219,0.23586136,0.24265343,0.24021876,0.23201947,0.22617619,0.22891802,0.24121279,0.25617823,0.26489446,0.26230976,0.25105885,0.2372234,0.22558904,0.218011,0.21495827,0.21663032,0.22184758,0.22872859,0.23600586,0.24319935,0.2491632,0.25102568,0.24720378,0.23894028,0.23039575,0.22446899,0.22102515,0.21685821,0.20847766,0.19404252,0.174084,0.15118341,0.1288809,0.110606104,0.09802562,0.09159153,0.09210407,0.10275451,0.12631416,0.16130169,0.19972257,0.23184843,0.25069344,0.25471964,0.24571557,0.22896521,0.21052384,0.19498466,0.18197012,0.17070186,0.16473483,0.17113286,0.19272274,0.22208433,0.24760975,0.2607604,0.2615063,0.25398552,0.24406512,0.23746176,0.2382782,0.24673367,0.25675654,0.26144955,0.25721714,0.24707808,0.23523752,0.22423242,0.21625371,0.21534036,0.2259094,0.24416895,0.25804472,0.25367007,0.22790204,0.19106473,0.15998061,0.1483378,0.1591969,0.18608962,0.21516742,0.2344966,0.23969333,0.2363268,0.23225667,0.22987045,0.22655575,0.21994145,0.21380286,0.21279389,0.21909982,0.22925967,0.23921506,0.24565668,0.24742429,0.2445829,0.23924844,0.23464264,0.23285519,0.23308581,0.23266928,0.22958273,0.22328186,0.21381158,0.20111556,0.18600683,0.17093726,0.15839712,0.14855307,0.13847585,0.12506703,0.10812008,0.09127557,0.07974896,0.07727322,0.085167766,0.10203252,0.12471718,0.1473492,0.1631944,0.16697232,0.15923947,0.1466005,0.13947387,0.14554732,0.16580206,0.19244885,0.21475758,0.22499757,0.22288811,0.21291642,0.19979553,0.18830448,0.18239693,0.1857901,0.195581,0.20571236,0.21011055,0.21009465,0.20982085,0.21226864,0.21633703,0.21972416,0.22073425,0.21680333,0.20621158,0.18951553,0.17371255,0.16639256,0.17235953,0.18748806,0.2039774,0.21297835,0.20971896,0.1933734,0.16827917,0.14411591,0.13124989,0.13529246,0.15171386,0.17160517,0.18721785,0.1975931,0.20439433,0.20986871,0.2144707,0.21840735,0.22095929,0.22066082,0.2168622,0.2108273,0.20539677,0.2008185,0.1942959,0.18140753,0.16105784,0.13578726,0.11040897,0.08861098,0.07208757,0.060466353,0.05222449,0.045731787,0.040137343,0.035792813,0.03358674,0.034437355,0.0386782,0.046097547,0.05557133,0.065244496,0.07268127,0.07581088,0.07373325,0.0683996,0.06501206,0.0711475,0.09100615,0.121666335,0.15228118,0.17312704,0.1814868,0.183199,0.18404199,0.18486173,0.18221915,0.17445314,0.16527444,0.1606208,0.16364808,0.16979305,0.17041178,0.15893327,0.13866445,0.1199784,0.11396524,0.12277315,0.14075637,0.15769173,0.16778606,0.16949463,0.16517997,0.15617704,0.14555974,0.13957979,0.1459543,0.16670078,0.19432032,0.21777312,0.23044355,0.23402555,0.23352444,0.23240484,0.2303973,0.22622238,0.21966417,0.2125652,0.20717233,0.20508407,0.20603485,0.20797984,0.20747863,0.20163226,0.1900236,0.17541961,0.16162784,0.15048592,0.14049418,0.12979689,0.12026984,0.11873871,0.13253021,0.1634764,0.20609216,0.25016937,0.2857468,0.30527672,0.3067733,0.29512164,0.28258684,0.28055415,0.2924306,0.30972552,0.3211927,0.3187529,0.3011451,0.2698028,0.23040801,0.19405113,0.17426217,0.17817853,0.19959873,0.22361054,0.23612219,0.23178314,0.21616532,0.20364517,0.21510594,0.26182607,0.33549872,0.40317222,0.43504986,0.42274308,0.38665083,0.3509116,0.32754847,0.31315556,0.30170628,0.29256287,0.28865206,0.29150826,0.29791704,0.30334273,0.3051742,0.30498013,0.3066723,0.31238496,0.31908578,0.3178955,0.30044696,0.26617816,0.22565949,0.19437279,0.18232422,0.18846042,0.20265846,0.21392173,0.21550839,0.2079015,0.19733602,0.1949029,0.20882441,0.23751168,0.26521635,0.27337706,0.25380823,0.21580529,0.17855935,0.15967284,0.16859208,0.20237513,0.2490649,0.2936184,0.33206066,0.37033558,0.41306922,0.4474719,0.45186046,0.41655234,0.35758317,0.30549893,0.28271604,0.29281196,0.32176423,0.35082123,0.3637445,0.35659847,0.33512214,0.3108872,0.29052618,0.27577892,0.2658141,0.26215327,0.2662125,0.27611795,0.28604046,0.28981444,0.28558347,0.2775598,0.2763294,0.29483357,0.34080863,0.4059917,0.46542487,0.4903851,0.4705465,0.42092636,0.37016508,0.33786336,0.32581818,0.3240937,0.32346332,0.32073644,0.31657943,0.31207672,0.30772504,0.30434653,0.30372366,0.3072649,0.3148758,0.32336268,0.3279278,0.32453704,0.31391597,0.3010364,0.2913917,0.28555897,0.27846885,0.26492575,0.24445242,0.2225473,0.20409727,0.19238561,0.19062197,0.20539476,0.23772798,0.27539012,0.29455665,0.27938232,0.23383401,0.18001787,0.14107174,0.13169973,0.15492979,0.20276201,0.26077998,0.31507516,0.3632772,0.4065279,0.44031549,0.44811487,0.42050615,0.366491,0.31192634,0.2778889,0.27093247,0.2811508,0.2925991,0.28797463,0.2595338,0.21124606,0.15883674,0.11820208,0.09911386,0.1021423,0.12265449,0.15346932,0.18704046,0.21575041,0.23329306,0.23748098,0.23319317,0.2331572,0.2522453,0.2995434,0.3674283,0.43245462,0.46449056,0.4498198,0.39929652,0.34328952,0.3068687,0.29800475,0.30660006,0.3191663,0.32655862,0.32806543,0.32636583,0.32463503,0.32242128,0.31846818,0.31242946,0.3085411,0.3092313,0.31226036,0.30747184,0.28800443,0.25456762,0.2180888,0.18886597,0.17230003,0.16675057,0.16803877,0.17107399,0.17087926,0.16596472,0.16115414,0.16764797,0.19031632,0.22069542,0.23813216,0.2310723,0.20574345,0.18262453,0.17724061,0.1939417,0.22918095,0.27586505,0.3251973,0.367314,0.40048805,0.42769763,0.4498063,0.45647392,0.43844816,0.39955285,0.35848144,0.33319417,0.32946014,0.3402954,0.3525878,0.3529482,0.3330274,0.2939153,0.24591577,0.20169888,0.17020051,0.15466988,0.15628992,0.17318279,0.20034057,0.22762139,0.24613588,0.2511384,0.24510181,0.2362889,0.23737657,0.26385364,0.320277,0.39394733,0.45100877,0.4645392,0.4296664,0.37183878,0.31972587,0.28938496,0.27734375,0.2747014,0.2755727,0.27940178,0.2863469,0.29505804,0.3028265,0.30804697,0.3110727,0.3142027,0.31715277,0.31560385,0.30184284,0.27369943,0.23650444,0.20077361,0.17217511,0.15100026,0.13504133,0.1255511,0.12495228,0.13429075,0.15206169,0.17730606,0.21182549,0.25427005,0.29660735,0.32244793,0.32315055,0.30333066,0.28146696,0.27134398,0.2776387,0.2969109,0.3246294,0.35543823,0.3820618,0.40286362,0.42013785,0.43681416,0.4441115,0.43151763,0.3961433,0.35100332,0.3122951,0.2903767,0.2865189,0.29650986,0.3126506,0.32430944,0.32466555,0.3139485,0.29965603,0.28847313,0.28332332,0.2831249,0.2859336,0.28954455,0.2918879,0.2917484,0.2889797,0.2838518,0.27812085,0.27782297,0.29506004,0.33728075,0.39619473,0.44364884,0.45332208,0.42012486,0.3655758,0.31655636,0.2870479,0.27432087,0.27004325,0.26989874,0.2744902,0.28457028,0.2973746,0.30752948,0.31208047,0.3129554,0.3162758,0.3257325,0.3392698,0.34792057,0.34310722,0.32144335,0.2874783,0.24776952,0.20740859,0.16976981,0.14075468,0.12829974,0.13571413,0.15716405,0.18079871,0.20056672,0.2177856,0.2347914,0.24471544,0.23892052,0.21838872,0.19762085,0.19115,0.2018615,0.22248608,0.24460585,0.26490697,0.2843379,0.30972,0.34805548,0.39823702,0.4409162,0.4517248,0.4210198,0.3664074,0.3170076,0.29241225,0.29424667,0.31263515,0.33670488,0.3552561,0.36013773,0.3470427,0.32060722,0.28961042,0.2622094,0.241663,0.2294082,0.22734708,0.23589163,0.2502393,0.26225236,0.2684889,0.2742324,0.29070255,0.3259379,0.3803306,0.44216862,0.49033022,0.5021514,0.46992108,0.4086591,0.34737352,0.3092127,0.2989101,0.30644143,0.3184303,0.32640135,0.32783866,0.32386354,0.31725717,0.3113358,0.30911377,0.3126916,0.32194328,0.33331415,0.33974448,0.33355305,0.31168637,0.27788332,0.24070239,0.2076078,0.18148929,0.16184567,0.1475783,0.1394502,0.13759466,0.14237761,0.15492761,0.17811356,0.20936926,0.2364831,0.24327324,0.22481628,0.19360603,0.16948043,0.16457586,0.17868318,0.20575452,0.23750956,0.26784572,0.29536164,0.3301903,0.37945592,0.4349536,0.46726525,0.45580736,0.40623084,0.35032976,0.31507298,0.3087356,0.32076275,0.33585772,0.33939984,0.32300782,0.28672966,0.24065898,0.19731627,0.1663151,0.1505423,0.15160482,0.16883741,0.19946285,0.23303999,0.25727558,0.26348254,0.25552797,0.24774899,0.25901768,0.30185023,0.37140998,0.44393802,0.48545346,0.4772078,0.42643058,0.3629576,0.31300545,0.2874575,0.2805958,0.28353533,0.28922868,0.29471183,0.2980831,0.29878673,0.2968411,0.29355836,0.29051843,0.28898814,0.28836408,0.28619257,0.27886668,0.2641257,0.24209301,0.21536733,0.18689959,0.15941127,0.13591608,0.12103347,0.11909751,0.13046336,0.14884715,0.16436297,0.1692762,0.16245349,0.14806108,0.1316041,0.11658287,0.10446137,0.09566527,0.08994811,0.085688114,0.08043487,0.07292813,0.0656663,0.06506506,0.078877024,0.1107604,0.15647593,0.20430058,0.24204206,0.26398733,0.27309752,0.27613518,0.27786633,0.2789108,0.27732277,0.27128908,0.26016983,0.24487275,0.22772928,0.21204537,0.20090242,0.19635226,0.20006238,0.21412832,0.23874478,0.268772,0.2934007,0.30303523,0.29618874,0.28035346,0.26553825,0.25801656,0.259353,0.2673256,0.27790534,0.28588846,0.28899622,0.28930822,0.29141816,0.29754582,0.3055811,0.31257352,0.31697845,0.31934384,0.31925645,0.31633046,0.3110515,0.30615744,0.30365047,0.30282906,0.29915822,0.28728613,0.263585,0.22986798,0.19355081,0.16637708,0.15716745,0.16650832,0.18447638,0.1986258,0.2012639,0.19393875,0.1816398,0.16877432,0.15632005,0.1450451,0.13603425,0.13226312,0.13880068,0.16137804,0.20137133,0.25013313,0.29254735,0.3156122,0.31761935,0.30521607,0.28721237,0.26779643,0.2495165,0.23441374,0.22616488,0.22486651,0.22831525,0.23197971,0.23528041,0.24077652,0.25452808,0.27802214,0.30636933,0.32658076,0.32921967,0.3133054,0.28892937,0.26631513,0.2504226,0.23903555,0.22914605,0.2204883,0.21616916,0.21811618,0.22519402,0.2330886,0.24053633,0.25216165,0.27907526,0.32740638,0.38787875,0.43363237,0.438718,0.39934734,0.33782136,0.28429335,0.25490403,0.24823248,0.25469235,0.267343,0.282415,0.29708457,0.30797243,0.313686,0.31605646,0.32000187,0.32978654,0.34532428,0.3589261,0.35820678,0.332765,0.28393382,0.22619756,0.18179582,0.16624956,0.17995419,0.20648067,0.22449253,0.21972038,0.19450217,0.16466187,0.15135835,0.1652156,0.19958158,0.23166311,0.24338768,0.23384605,0.22125544,0.22309713,0.24432735,0.27632925,0.30741596,0.33161283,0.35042015,0.37255648,0.4036698,0.43998358,0.46497822,0.4646019,0.4377122,0.39798415,0.36033854,0.333438,0.32006228,0.3204405,0.33087957,0.34107414,0.33931446,0.3201873,0.28897044,0.25690168,0.23481332,0.22943199,0.24250637,0.27095056,0.30683443,0.3401523,0.36215818,0.36890343,0.36294758,0.35438693,0.35834408,0.38689503,0.4367385,0.48517296,0.5018172,0.4717697,0.40740207,0.33848023,0.28964138,0.26736394,0.2641845,0.27004507,0.27879357,0.2875609,0.29462,0.29933214,0.30307817,0.30890208,0.31943515,0.33401385,0.34702685,0.3494457,0.33363685,0.2998372,0.25741747,0.22077338,0.20018585,0.19697727,0.20368677,0.2100145,0.20810004,0.19578423,0.17808996,0.166212,0.17289843,0.20127124,0.23964798,0.2673113,0.2735524,0.26692244,0.26812223,0.29109234,0.332314,0.37685725,0.40917823,0.4253581,0.43242183,0.4461533,0.47384897,0.50729734,0.5220616,0.5010957,0.44705698,0.3829732,0.33162948,0.30534676,0.30313262,0.31718275,0.334532,0.3420024,0.33134997,0.30503824,0.2739368,0.25140288,0.2463352,0.26050866,0.28850314,0.3207048,0.34655467,0.35922444,0.35681286,0.34337422,0.32744133,0.32221845,0.3411903,0.38747847,0.44512305,0.4832466,0.47924364,0.4360256,0.37973726,0.33638883,0.31527892,0.3100158,0.31075537,0.312708,0.31498396,0.31768146,0.3199993,0.32192865,0.32509866,0.33199242,0.34428105,0.3587917,0.36826444,0.36248884,0.33759096,0.29820225,0.25760886,0.22704704,0.21053116,0.20346804,0.19956581,0.19537234,0.19154398,0.19136997,0.19958715,0.22126603,0.25492123,0.2899507,0.3085226,0.30197692,0.27563038,0.2464419,0.22674406,0.2209744,0.22767232,0.24358593,0.26525545,0.2896717,0.32246086,0.36872065,0.42450044,0.4655796,0.46993557,0.43440285,0.38218334,0.33943522,0.3201355,0.321803,0.3338143,0.3428278,0.33629236,0.30943155,0.26798558,0.22664754,0.1979863,0.1876872,0.19313473,0.2097786,0.23272395,0.2573575,0.27798638,0.2897904,0.2915376,0.28807375,0.29056713,0.31398025,0.36488155,0.43128133,0.48065546,0.48405656,0.43711796,0.366318,0.30448255,0.26963207,0.2585126,0.25969708,0.26471904,0.27134594,0.2796514,0.28890085,0.29716408,0.3035353,0.30975303,0.3189827,0.33138204,0.340435,0.3355913,0.3098165,0.266478,0.21697116,0.17406349,0.1449495,0.1315283,0.13129862,0.13958783,0.14987193,0.15850715,0.16748959,0.18561578,0.21756692,0.2581059,0.2899505,0.30209097,0.2964419,0.2886199,0.28903607,0.29921135,0.3134394,0.32858834,0.34398863,0.36018696,0.37951303,0.40352264,0.42870438,0.44145855,0.42970252,0.39450052,0.35457703,0.33061865,0.3317175,0.35227993,0.38061538,0.40658548,0.42321262,0.42711672,0.41765547,0.39722088,0.3689836,0.33692834,0.30512348,0.27804604,0.25825357,0.24643137,0.24156606,0.24292928,0.24920659,0.25926408,0.27447686,0.30154002,0.3471003,0.4057692,0.45529845,0.469812,0.4424658,0.3913903,0.34413162,0.3157598,0.30538395,0.3059516,0.31408748,0.32841274,0.34563053,0.35994375,0.3676052,0.36921057,0.3695066,0.3735542,0.3827949,0.39179635,0.3909011,0.3734571,0.3428706,0.31064448,0.2882905,0.27906942,0.27853766,0.27881423,0.274955,0.26623324,0.25677654,0.25191447,0.2564908,0.2709338,0.2911282,0.30837974,0.31522536,0.310432,0.30058518,0.2951207,0.29936978,0.31319475,0.3311338,0.3476735,0.3595499,0.37118983,0.38929567,0.41492224,0.43655264,0.43865028,0.41608047,0.3783671,0.3417515,0.31667647,0.30751443,0.3136014,0.33104643,0.3490709,0.35548863,0.3442935,0.32206026,0.30202317,0.29483333,0.30173078,0.31689385,0.33276585,0.34483123,0.35132334,0.35175857,0.3457005,0.33505693,0.32703677,0.3335719,0.3646985,0.4161347,0.4665731,0.48651662,0.46155277,0.40100095,0.3322686,0.27857628,0.24918312,0.23988831,0.24310338,0.25254092,0.2640629,0.27472532,0.2829028,0.28903696,0.29561034,0.3057046,0.3203974,0.3348252,0.33837685,0.31914505,0.27449858,0.21522956,0.16217065,0.13280763,0.1315134,0.14752012,0.16308229,0.16497822,0.15156616,0.13341372,0.12612556,0.1413741,0.17693551,0.21658158,0.240063,0.24104933,0.23175675,0.23233174,0.25266206,0.28841877,0.3290143,0.36612952,0.39588952,0.41824278,0.43936035,0.46549034,0.49368858,0.50683206,0.48848906,0.4391311,0.37826216,0.32863888,0.30300036,0.301911,0.31827956,0.33992597,0.35349917,0.3506572,0.33301985,0.30977446,0.29064032,0.28117108,0.28222847,0.29187274,0.30615175,0.31947646,0.3266549,0.32479328,0.31558657,0.30566132,0.3064942,0.3311484,0.3828536,0.44786,0.4958229,0.5034039,0.4685706,0.41411367,0.36465237,0.3333082,0.31772494,0.3113397,0.30921984,0.30914322,0.30908754,0.3071027,0.30304372,0.29958475,0.30101153,0.3103175,0.3255227,0.3389572,0.33956444,0.3205571,0.2843602,0.24269468,0.20841528,0.18772048,0.17821115,0.17363073,0.17047554,0.16879094,0.17144132,0.18096931,0.20116295,0.23094785,0.26310387,0.28195086,0.277934,0.25273472,0.22070163,0.19483119,0.18254977,0.18566786,0.20217298,0.22746818,0.2554498,0.28934503,0.33435154,0.38947234,0.43290743,0.44282317,0.41362286,0.36667728,0.32727182,0.3094751,0.3104311,0.31968984,0.3250848,0.31613252,0.2892206,0.24992472,0.2107609,0.1822895,0.16843301,0.16817558,0.17987455,0.2030286,0.23401964,0.2657945,0.2889792,0.29900396,0.29824713,0.29794466,0.31350473,0.35377935,0.40953085,0.4523271,0.45569512,0.415869,0.35611558,0.30473164,0.27594456,0.266356,0.26671988,0.27006325,0.27296552,0.2736274,0.27209064,0.27057323,0.2720909,0.2787048,0.28996375,0.30227056,0.3075857,0.29609397,0.26152942,0.20808184,0.14879479,0.09871113,0.06591306,0.05059744,0.048057094,0.05256489,0.058410417,0.062054183,0.06512471,0.07552453,0.0991953,0.13333286,0.16431648,0.18316032,0.19176356,0.20275302,0.2223034,0.24799426,0.27238008,0.29250118,0.30979475,0.32798314,0.35384455,0.3913184,0.4330139,0.45545578,0.43589568,0.37411067,0.2954515,0.2322881,0.20136182,0.2032115,0.22808135,0.26457047,0.2973239,0.31414554,0.3103658,0.29353046,0.2745978,0.26125738,0.2539221,0.24991333,0.24732612,0.24662308,0.24907172,0.2542888,0.26038358,0.26473537,0.2652892,0.25845006,0.23956732,0.20531018,0.15912104,0.110817395,0.0714209,0.04617502,0.033314366,0.02771686,0.025099898,0.023527272,0.022385627,0.021594657,0.02100637,0.0205277,0.019854434,0.018664068,0.01670882,0.014223047,0.011938577,0.010813171]