{"data":[{"name":"Protein-protein interaction","means":[[33.394984714208064,30.301957978057576,26.6828728701916,22.861779110873304,19.04318450448271,23.305896487351912,20.83861518203207,23.554409706236974,24.669541621751424,22.030229373645703,25.123075373903312,27.634434772456355,22.56123499448063,22.60305646860751,25.963374717249,25.070371679034405,20.68288084957794,22.785914920677854,21.92186325354079,22.19458575636574,23.982146981076404,26.19721480962476,24.98250025529761,23.016548234366542,19.98579241856469,19.102194365163825,17.00345342981845,16.67864664754028,20.41617882371366,22.714100442372693,28.314609655709383,28.016032946498306,32.55929896673166,33.737508350872766,29.68530299076643,26.153116761080014,25.14024600154084,21.524020881832975,18.592711314191703,21.690146256239817,18.385295951743522,21.42635610235261,24.221781058511024,21.71171440500525,23.334901842938265,20.875330065486715,23.833749202574726,23.569330006695044,18.115919793909075,19.73606033272979,23.7169174534761,23.27797063679168,26.74250573177146,22.626075731061633,28.060582947265672,30.740983698971803,27.70559359041075,28.642602394435272,33.13517488465347,32.56553629690909,30.503874224270252,33.971608256480486,34.02528392471642,35.13721769131641,31.38017174313768,28.696520113846073,27.924122566978813,27.201491366699074,26.166066220405273,27.273240086451434,26.88131384718745,30.36635576333607,31.12446278955964,31.17909453564237,30.98000134391611,36.11201790024729,32.302335298795015,36.110133842310844,33.15477758791445,31.732030901738526,30.132516541503307,27.028745159080103,26.892189262695865,23.975697232841732,20.384048535436694,22.47354979622737,24.639136611125696,28.09225387462105,28.027013294408054,33.658456503469296,32.541505228010955,36.73954373770324,35.188401774560056,34.61679635336699,31.048264402905282,33.803469461716034,30.637338094608186,31.474656684413603,30.14332268648552,33.41082618054857,30.08774752017087,29.530690136142695,27.019199279192318,25.667050671573687,24.16541557738451,21.927808842664536,24.290770623269985,21.76708040166418,21.49262480459499,22.97814827446532,20.87953577581156,17.534968704625673,18.280638857233175,14.22677666117998,16.17745924196366,13.02304140034786,14.760591944557225,12.3938847461237,17.744565709027142,19.378847233250152,18.60100665736793,18.306766597410224,14.7692914217707,14.670708167572847,16.346499590829918,12.523997468028481,17.648087015965398,14.833121498157352,16.4102355158135,17.279955213470906,16.199050823831936,19.506057705141956,16.30429198932704,18.513220497171716,12.908161501136105,11.01192922065095,10.670695734879182,7.0334454011744105,6.016394714988399,6.406183156106218,6.401036127108722,9.328009141594437,11.678632671084511,10.208077923551441,12.655698641458752,15.349741278638799,13.56574051666124,16.908807355051426,18.016270777309295,20.538861857112597,23.428844805854105,26.926535821503784,30.67593238361884,34.52149614379485,33.462971722528124,30.688160772456136,26.915924038734136,25.613065825881677,23.518403298099198,20.82069207271512,15.639381341097032,16.86902383179876,10.964639369287216,14.233565630135594,11.350266463850925,6.124846734660307,9.086335170373935,9.374727226166222,9.025754624985785,5.22099992106769,7.556132268798163,6.86715630367161,11.516556237916658,15.037194534501443,18.116009231291113,21.85418380642141,22.448463678066727,26.450006971734194,22.479677129406117,23.43586346661955,18.953874581358544,18.92338674219794,19.438682502952396,19.449866619015843,16.01265637969609,18.06982859534053,17.771586553541088,20.47690117033194,16.328879217335142,17.394879049857135,16.506776921325237,14.918192971722243,14.90509675028085,14.596945038147183,16.971689593557493,19.343108602201028,17.212730211644388,21.07783066734802,22.124937494761248,22.587839754900006,27.18355992577503,27.732293306681797,24.30300472671458,26.09450528989911,30.233247595373076,28.664402784670955,25.99489860858118,30.401972636861565,33.77144351690348,30.561288542936573,31.780887377923772,35.51948415814964,34.76570407267941,32.943946053935896,36.17003635706375,33.66393430940857,38.81672249601147,35.15995035840444,34.485292492929496,38.33916308991556,40.21294997090984,45.09492312626837,44.16760069266528,43.37562375361138,40.31132723512423,41.05611651149347,37.47512381250798,39.393321961405974,39.70278377814064,33.80769547167332,33.91503992532167,36.23088056261267,33.38838367999283,29.992996579755815,30.65919138585205,31.846657539603076,29.127025997995123,24.659441872761935,25.67339151324135,25.932613844535155,29.73647739495313,32.271009471197814,33.76692931657982,38.36368405259274,35.10556339388062,31.616149828451572,36.52017577992622,37.47694208187192,32.83518493600037,33.51183733634638,37.60552279933001,36.93383223896036,34.651569022278615,38.90633898797259,40.93233872513639,38.49859800318755,39.04855650164284,42.15892662680488,39.707409242053764,40.334853867700794,37.20951283556676,39.37193363997754,40.45183119884533,34.976677974913784,35.09411592663041,37.47833979184461,35.737978286511904,31.413772264816988,35.816237572241796,36.64128332325719,31.597680787950857,30.303996114383764,35.139866421875944,35.095029337642885,31.559050896115313,29.01992886847363,32.1782603644203,30.479181332409908,33.78029175102681,29.708407820131306,28.835472308604658,27.578742667283354,26.50531320045906,24.58447051572459,24.983733942226493,22.413523637763937,24.228246972270945,20.577670655185024,20.14296066444667,17.831177071552677,23.00066128965537,25.175313039324937,28.941993964719657,28.94758811396267,25.396942508030055,29.16360619790187,32.018755035187915,27.835072728726924,28.396231438968158,32.87627207647772,35.021668978694564,36.60663383645639,38.13789993109982,39.10403197034409],[30.184805716736122,27.035375121197475,23.463229071101896,19.594724091106883,15.999287636739577,20.656499604373906,18.64355859775304,21.797997407131028,23.03658791316167,20.920969497474953,24.291882909171353,26.849531997975156,22.232675882056057,22.1465115864678,26.019547111136852,25.374113366467444,21.232950955883865,23.961256159657626,23.64833732735334,24.25569903258388,26.431099696132296,28.9440492177875,27.892602976837544,26.049361887350333,22.92504267626703,21.586167832028273,19.329124062724112,18.276656646701305,21.69148769645758,23.526701600793846,29.215735233401148,28.618584411398043,33.211118438361126,34.86640727481757,30.90453949878729,27.612369372849876,26.333175101590303,23.42819754993781,20.788068220064996,24.303753265402975,21.24564678047645,24.10320889317056,27.169987851703343,24.897017339860476,26.67574607172115,24.319743413471738,27.360798675236275,26.983466686169518,21.52703977043836,23.227881435359436,27.084409132362435,26.45587179617179,29.896917922042913,25.650088037669757,30.876100134085636,33.8354974346954,30.825946392207253,31.406933891703,35.996706049317226,35.69503787313016,33.41172121729253,36.627732514722105,36.37860306785537,37.697623013165256,34.08912844878184,31.142385840695834,30.11829423156288,28.971735748184837,27.730519083893558,28.32029357916399,27.911201775132284,31.393462686177756,32.30623951496688,32.86203932936848,32.50345065775279,37.94368751135756,34.31538283690038,37.992416668560864,35.167210763303665,34.02245583273815,32.13686681806849,29.253216698248377,28.653340544615336,25.994509745689985,22.554194101121094,24.297819689294315,26.76240300514396,29.74151082364988,29.910935278122203,35.24473320451859,34.04054052524544,38.22935423016289,36.33546264308798,35.43815397868183,31.5655406022209,34.105443819542295,30.637173867047096,31.58864809510586,29.905109884861172,32.86325932640411,30.16607868262743,29.191096374812172,27.328255841401624,25.46875512287699,24.423308824210807,21.480742071935957,23.69736882737594,20.935050812066883,19.967410890479563,21.72573393927968,19.11439250760572,16.381345636370867,16.84491885066118,13.202270337654513,15.702339800722138,12.816195182516637,15.455151616927099,13.511122170959906,19.366956869079967,20.43040110230887,19.177519337931177,18.268948600899304,14.326686452544008,13.60944387648059,14.64910155679002,10.668110436228549,15.399173614831692,12.994343563789943,14.701746034547591,16.557226674947156,14.836547544840291,18.693421058444923,16.139477373334646,18.641391772987614,12.779038566108493,10.388506032965136,8.5543279819585,5.37679156507891,4.655513616657006,7.213330605730114,8.299557527590188,12.25980258449314,14.045747710751407,12.057306622354034,14.869427473130232,16.761384274914896,14.40662893711035,17.102085414939296,17.721530786621557,19.621063393172328,22.249265042100024,25.611409961686267,29.46882745010249,33.01442948221434,32.3874197912643,29.904789913970507,26.313206115365382,24.980703985830242,23.447185642525046,20.55408189606543,15.913546907449641,18.020799884326234,12.460093139208935,16.28054778279985,13.689490584083737,9.051656788771004,10.943615638387325,11.297446444445798,9.51316465935073,5.646323883997237,7.856422030143505,7.663267616682064,12.859047732088502,16.262790586516893,19.32833582248426,22.70653482655988,23.26841936958564,27.55264641921076,23.98271656988857,24.72590172843441,20.585615716405997,19.45571776491608,20.440021967524377,20.794345234947496,17.5660141504613,20.4337025267073,20.472432049853452,23.37063010543506,19.60308090889591,20.251833360593626,19.103721524714825,17.206177495640716,16.425275571223107,15.346669983260842,17.17871680264662,18.917032481348755,16.026388587534196,19.69643421936853,20.08698471345891,20.65493732781113,25.04546178796444,25.60817903866728,21.97798353042349,23.43696058964284,27.660834612755202,25.958538788891797,22.893383526851835,27.404062751542586,30.938930410193827,27.454804810935684,28.527404377059995,32.33446343508776,31.62632663201223,29.601528732964326,32.775312992418165,30.26010811827321,35.522304002446496,31.860144274708535,31.33323010077018,35.2478416720679,37.328918044552736,42.16502296694225,41.45081730975926,40.87292677737619,37.99180099771947,39.00731117066939,35.606073554547685,37.729790403398844,37.74116056654292,31.710898045003884,32.23315840032194,34.5861529447336,31.421365710375017,28.181440081864512,29.302207402654357,30.158614038222836,27.106280168642364,23.172903344079188,23.61425670068953,24.477357571503216,28.270196783673192,30.455392249168227,32.244885822893075,36.72381095125717,33.65083210510352,29.882444867407504,34.49239073597188,35.61520640190655,30.892866518142743,31.188861750217047,35.26379624910777,34.54901991672084,32.01094174198185,36.27286378725266,38.28622004366511,35.68882697020117,36.11454917592704,39.29726652491588,36.8378748611604,37.696363817278936,34.76963670581494,37.01531322110708,37.76898645344604,32.19897424331012,32.6423649970593,34.85498698927533,32.907634546404644,28.766429796164275,33.38439821725014,33.90436083145534,28.72299253021886,27.809814157229184,32.68849296306656,32.35465407097934,28.69172384795447,25.88631420640632,29.137249000422727,27.21123671750736,30.433653887234968,26.24614105763315,25.480112799097427,24.165506267508196,22.965616289801247,21.13068731646733,21.653000948065266,19.2322829402556,21.25522830397712,17.58810056050502,17.690578460487032,15.24623134548948,20.218044063520598,22.951727040005213,26.642079784667153,26.917217660963644,23.000205857880992,26.446018741895706,29.52213551765668,25.496897992211444,25.54072932213269,30.008507651542782,32.332808164587235,33.96388275812682,35.49655310424871,36.50044745594439],[26.84170166046186,23.728806699771802,20.562435027230514,16.209005180203896,13.69802147655006,18.527735688497643,17.24474703214214,21.082825229836303,22.028495876298837,20.482953871599243,24.01354268316088,26.827720615809294,22.888588554948942,22.228813364107918,26.69985087930138,26.565982486896957,22.682401670784547,25.894620253918273,25.891055429154875,27.121589085611635,29.501031638576336,32.43757995382843,31.39082587681566,29.522896031710196,26.52135848027756,24.62676839913378,22.554477184734843,20.87732854820979,24.037706078389586,25.566253833502316,30.935196236210054,30.379175402462348,34.904928348975446,37.00606296405578,33.290649738182104,30.168380420131633,28.93104861652455,26.621458354408123,24.34110370172667,28.39436256081438,25.351377152680616,27.726687611658473,31.10994355939341,28.972219183539718,30.67246136753405,28.31830970933738,31.53592986148933,31.269528194933095,25.849770295948257,27.736952782050857,31.626708495940658,31.044031223820767,34.412017319557,30.02958976146998,35.17046054398004,38.20036046995507,35.03358418752663,35.39916590472506,40.08663254358102,39.843846162523015,37.24337233606596,40.17982384625138,39.64185765001205,40.93899227891409,37.51306716572283,34.44803429871006,32.85915794639202,31.385249786682415,29.64284316366461,29.72530198295417,29.095208618953507,32.38654484363289,33.70677340990487,34.82763453103359,34.57207660594143,40.38349859763444,37.14677923927349,40.78216223018641,38.25044436539267,37.500207800531804,35.55512129602493,33.03539311468648,32.1972855329588,29.897201568247787,26.485549476720426,27.772053330682855,30.232791037825614,32.82179615660028,32.89547700627076,37.90704880158779,36.40103914087905,40.40914671471069,38.153079344066136,37.006022035529874,32.81406760969894,34.95354850312947,31.14779647357349,32.57548219333125,30.631403912361986,33.39083296770232,31.55512154077129,30.416128943097046,29.33241232508458,27.211326546857762,26.926418697752034,23.316597411672575,25.46363141897573,22.60932596415147,20.726909816240585,22.635433953863412,19.254325778354563,17.347774925204238,16.966607942634887,14.005105178108249,16.438471561360707,13.818369774663283,17.106785047318134,15.33466816235562,21.36312580907349,22.054745517066568,20.12737698537607,18.71506597148169,14.316905346979679,13.258286267331,13.720981066248907,10.52812384609749,14.608675728646142,13.393922492641368,15.421008865041893,18.487722771307986,16.24783950380489,20.58272253611842,18.855641226829054,21.48076156302386,15.6962379536157,12.871552829430671,9.644383084523472,7.586129315535256,6.489159923194881,10.300745700497682,11.11344829787608,15.744588385868735,17.21330515157666,15.182653869207806,18.43223934579368,19.626876195235138,16.856800864332868,18.92476420111921,19.264626101969817,20.15422096448375,22.632935894431395,25.44771443286053,29.56171834545964,32.45518284520962,32.28645562652267,30.35952273249059,26.984148999935723,25.93546545469686,24.937428116468272,22.287324474833923,18.463954266298316,21.006974691195456,15.951739531086991,20.158759467392017,18.06073570299808,13.708820865315051,15.297176423657563,15.433784828514646,12.931599784991468,9.64537553209384,11.58898986470551,11.566066844493356,16.731593840126564,19.83774860339274,22.663166831175005,25.64419921403547,25.88084914484878,30.537868660904106,27.439989645435897,28.1392603889752,24.434577045984284,22.439570435209834,23.972588068818656,24.625141521360515,21.583158008357568,24.830284300850053,24.884465906639708,27.946304205411266,24.249172278423604,24.858401064715984,23.559234246104293,21.632376767433303,20.399995402189894,18.838410476425693,20.144986978922443,21.148833288073384,17.563130231112247,20.800235882738363,20.199385325191187,20.90505530665998,24.816621952172856,25.321268209810505,21.43377968394472,22.295691516439042,26.55460952012797,24.528467994629132,20.73056993839819,25.416540003655765,29.166121819778642,25.03002710895037,25.801658247060594,29.731465748448546,28.97393604779502,26.43065143078798,29.566281158113288,27.112938389658975,32.66045960359762,29.01487469547299,28.92646589818042,32.94370702258941,35.454860993759226,40.13386950425576,39.8683607819489,39.72204526451803,37.200506807101284,38.6593035910848,35.59022122260226,37.98971850980535,37.52925596692853,31.38641269229176,32.54985331392397,34.87032905442541,31.245690279143094,28.349963303868854,30.08417874978958,30.336489429579093,26.855896442218587,23.9106764457745,23.534573168953486,25.32203233746075,28.993403551115776,30.603420746477514,32.76665860777128,36.98453114301362,34.16828474053805,30.097929284605417,34.15950991644874,35.44183631461387,30.63337791084406,30.360536081400483,34.26698919068377,33.39117120298245,30.479312250729084,34.777744768738174,36.65257575798562,33.66901984988181,33.99294944612991,37.34472222892973,34.95109033287938,36.281183340975026,33.763695937096784,36.16493411932834,36.30810787599217,30.615786970990367,31.695463279855886,33.547324612386085,31.213807994283105,27.511957030331523,32.41783383553617,32.307372615902565,26.935610874073646,26.779506347763263,31.574215640054064,30.631707364962562,26.768820131986814,23.45343419271205,26.647403526136003,24.158089826211526,27.3235671208153,22.87726173044479,22.583893493346668,21.011754789464817,19.330115034776597,17.927588849086884,18.700581463717963,16.881067754558522,19.48831637089937,15.935142763148747,17.182493835739006,14.446302759095683,18.662138366002218,22.330638798591323,25.8062007162679,26.324181914236924,21.85078121841281,24.696324228070143,27.986394606383275,24.088039528914887,23.207165951761482,27.70231110485738,30.1732975222185,31.812926852723393,33.30825073735167,34.4351452510711],[22.797417459844745,19.674868187786064,16.063786462978463,12.394373891950725,8.412372064401598,13.125167413565665,11.667691223998077,15.242804341560804,16.945568112610808,16.106813097101277,19.847432946699325,22.03102462706943,18.577629279354365,18.8047799730381,23.21088227427242,22.838218782141666,19.69821403366532,23.603915774568787,24.887391847147022,25.738028212529308,28.88137475466119,31.832826765637098,31.4800741216165,30.331682970224374,26.77028297519314,24.62862953674921,21.77085985579668,19.24983514756609,21.44022930338343,21.951933477928844,27.721156323977734,26.234856672855003,30.748832094099217,33.38558702418091,29.718741926009162,27.2029826068141,25.270387161130245,24.216857748325523,22.44569695211252,26.804406359606517,24.54096339620176,26.880560600188765,30.477640581274,29.066942944317994,31.537191252510894,29.868956616671664,33.11529333737547,31.94280550763745,26.67422211219116,28.94916977807049,32.038779548838185,30.959152536995763,34.023768878512485,29.326995135057523,33.808596532692405,37.47048368831313,34.5270296686559,33.97835224121006,38.743961366407575,39.313327494247794,36.420795246226795,38.847921070054454,37.79782203137185,39.82983402957794,36.70134522426897,33.04084913405765,31.839859178498383,29.639047056200845,28.501752974921843,27.86703327703889,27.83805645207677,31.394474678807388,32.08404761743436,33.643092061824476,32.51601159568919,38.33055085441137,35.05076385710922,38.19198459412048,35.67341641797193,35.214963480691736,32.663807196273254,30.508754041883012,28.926262308782626,27.20258411475438,24.152067252320432,24.826814968611867,27.827281887633706,29.51524660982526,30.327856188124073,34.73745821176454,33.54767801948676,37.70747970184686,35.14116925593391,33.48408690062326,29.179984703083846,31.332791334436944,27.4805501236888,28.20933812814279,25.823952364427978,27.977215509249973,26.539760496476216,24.801736046907816,24.329494094991333,21.733588357164717,22.091522931049166,17.963709816167217,20.271697015662422,17.779483527006462,15.348241181653025,16.856034999909657,13.116073804001608,11.53324685274481,11.150794844834655,9.031120419269392,12.62966176174468,11.348467960996327,15.318731924610374,15.249455098067076,21.25327225545675,20.577259124187158,18.943434845669714,16.683565413370584,13.172172631021867,10.656423292551324,9.52770483623329,5.414892280544657,8.38201621876783,7.425447076506053,9.93382926453096,13.745131819639175,12.381752399839693,16.968095304828182,16.244213298323075,17.89879897148389,12.790218029313564,9.084003806799037,6.557575332127092,5.223826030523034,6.1531268605355125,9.53355783718233,13.123522600782904,17.539701266147905,17.54595237210621,14.546185243703968,17.3036288530277,17.19022923735393,14.075837423859713,14.82558506072785,14.266840834945077,14.693878447043469,16.63900373916782,19.600190867198776,23.512842285053974,26.525857958129066,26.601204289740558,24.64830208004596,21.550902792928422,20.22678382884075,19.882714633225387,16.972010595568356,14.129505562901013,17.623078510999008,13.8003637770202,18.145871206756688,16.988865936136367,14.490000584156906,15.396003863968504,17.12301898499626,14.223358734739758,10.932403608243433,11.010017482095869,10.177784149982754,14.49070140349073,16.782743763360507,19.154420443820314,21.422627997882756,21.625192049920017,26.37129823490862,23.994879404866406,24.456364408208298,21.658092426037385,18.352508337495347,20.9858407767896,22.48589117583575,19.727535934575577,23.5424268193428,23.788876686712356,27.337548677487575,24.938873307479835,25.22433103224036,24.398855484243217,21.46715912500222,20.284992987167822,18.111420837292616,18.864822250468038,19.68976206815172,15.41137594293526,17.928170256521707,16.940529608290355,16.43752003020118,20.579123946996596,20.244710125023854,16.24157084281613,18.043658621501745,21.9521919227609,19.411509918300677,16.578869608839394,21.328564557646178,24.30802066438342,20.382949838702423,21.81592452399642,25.541093195549347,24.351005520395812,22.523841117304872,26.100284449406182,23.978125481140587,29.142347561994494,26.649760124718142,25.78042809523972,29.506421360854848,32.279770552734405,36.92638766979641,36.69703027106333,35.95556558391611,33.43650650951409,34.74988304911874,31.358927900410645,34.291664567894315,34.183554988053075,27.829446046735292,28.98083543310495,32.09352243218504,28.66218330182775,25.50029987996567,27.583300198301025,28.668046459153672,25.10064720332525,21.94670895764132,20.621218698290296,21.520921462994757,25.12827665325265,26.176128678142277,27.9455773804397,31.92711911602789,28.808671540533076,24.945148686834163,28.95232355494064,29.823632830199436,24.903342757480328,24.976403547599045,28.69785427471831,27.66121502172553,25.052644908528254,29.57413348992709,31.266241252087394,28.3649580715042,29.126047737525774,32.520625925708664,30.37461459693741,31.587279634037905,28.939455144018375,31.74808115451819,32.14163268884251,26.39369757236619,27.637312522948495,30.035144738943035,27.79427808336081,24.16317559658703,29.51793330897012,29.900442326581228,24.55097569113738,24.530973760226747,29.75210828970002,29.217286084261467,25.42717066048327,21.955581729614522,26.130359499145047,23.778929761506628,25.97855061604938,21.296397090686614,19.865820532842378,17.664939753319494,17.409650599160273,16.04509834323094,17.736792336039233,15.421817021982038,16.725173809497303,11.905999562269011,12.773557257131843,8.927749575097051,13.177479952466612,16.403483657244582,19.979846039508406,20.170967999635046,15.795116468791356,19.07888691236197,22.11713452666254,18.10848023443682,17.87604271828325,22.390528805436723,24.715493467628868,26.397931670137915,28.006021398479678,29.121062980066217],[18.977907100264073,16.00529221094451,13.35813718181249,8.355717385564011,7.374787737893771,11.479582535321397,11.406885119808543,15.847636560557735,16.673390569088827,16.603463386706157,20.263196976042423,22.842429184918565,20.421616715479235,19.655282559329205,24.621816584690396,24.993849773743186,22.190110722290868,26.333821734472675,27.682469033531934,29.302095433948043,32.45142112168809,35.84885449841365,35.37745211613423,34.096506985281906,30.80662537755261,28.140886243244722,25.72353073213343,22.81508892531039,24.83996681501485,25.222400496779674,30.23392449261697,29.104027971639635,33.37793799122943,36.38138894867019,33.12284643392087,30.73087235856787,29.1333621074562,28.47645289149646,27.049905419497247,31.89863076071235,29.442614364834345,31.17836889073591,35.05625135980228,33.66526288418446,35.88721106514788,34.12696609183762,37.58841426014043,36.68557269126639,31.44016038344182,33.92103647623164,37.20150119396824,36.327742108720685,39.32880862106376,34.52415041863313,39.05494428591293,42.60411102244689,39.393157500373356,38.78792232884763,43.625802357296706,44.07641576131139,40.84876080192544,43.006662727181755,41.71369063254078,43.54030532500298,40.61494088810419,36.980535041742286,35.041352081987164,32.63602749528818,30.823765075938432,29.713596947606177,29.32844712938727,32.51788598015458,33.77037708652503,35.91446967349216,35.086382088356956,41.24674289376851,38.52094808524696,41.67106974138271,39.569848469426695,39.5566405524412,37.156705334509795,35.42873608588769,33.860551163642164,32.49132405757583,29.367723157633762,29.618909522557843,32.336607233433085,33.762689802825086,34.20398887369795,38.26368306941183,36.62858283492938,40.441438591351535,37.52979875054757,35.70619164709745,31.133624697241668,32.693627654027054,28.52507653802783,30.03386001466677,27.511628051103198,29.520183412244446,29.19168569980203,27.586445168416358,27.9634939146313,25.4437669526422,26.695510534724445,22.19665031989872,24.42071261336645,22.049323466641262,18.810460178033818,20.25074863247721,15.796468447650868,15.29836506015225,13.5706866402805,12.544047472743232,15.068551860631123,14.037098504319488,18.134722529924083,17.955949701565395,23.775204100744254,22.93184419985225,20.564497905420072,17.97721564053991,14.203533734572929,11.758076671291372,10.123377523015867,8.718949077076163,10.15771317452513,11.431872281363985,13.978400855587422,18.517930967244784,16.836188122302566,21.483901543734707,21.359198787755776,23.102968545532548,18.236359151768276,14.621907882769593,11.504013206787265,10.782678943291739,10.434581268226648,14.115659418106286,16.495568833613977,21.325705852459823,21.334075870372644,18.672265146165305,21.869522619371995,21.392589197239058,18.158292703931693,18.499254256851877,17.98495375580205,17.09687024708163,18.91751426873784,20.725616487739806,24.94835492382423,26.827295000546574,27.412379412310525,26.35023197044378,23.59416098190858,22.914891770466994,23.046122622179592,20.89850920619624,18.98796511346945,22.283304406053585,18.847222937281128,23.35136148057818,22.521208751740755,19.671241630912576,20.839611175604826,22.057749420958473,18.969287105102204,15.852023891579401,16.4338359689037,15.772773610604476,20.123207392282993,22.234057925194904,24.2926219014514,26.23344034441293,25.91826406028357,30.975016089613927,29.042996880056986,29.606886128866073,27.166755269793757,23.53141497230208,26.48071527518462,28.072721166647153,25.391096985640715,29.19093813203373,29.245228461060886,32.87428288210012,30.213342934186553,30.703275176099872,29.75189431670741,27.020856466980348,25.651756651919996,23.362140112945582,23.870730929067427,24.149309228390113,19.57485766380452,21.60023495261532,19.609338593320885,19.28962874047007,22.57207492521322,22.092348473787048,17.96955334759052,18.88514828520922,22.592675721079058,19.535275454397464,15.764604470442247,20.63848304725684,23.7163799085151,18.716831921817796,19.725529960684625,23.569080901342026,22.116168499960068,19.435766537078532,23.09451181066221,21.228107239729887,26.80622130449223,24.59718260573743,24.39741749989932,28.177397421704065,31.622994177997054,35.95232888644766,36.39686701685781,36.23999434707463,34.272017709129585,36.139026064907,33.23095762943571,36.459775969785156,35.781021871432806,29.43982024491882,31.35165759654925,34.341831831435044,30.44671607332898,27.802846833481812,30.504945378974472,30.84108218485342,26.883774387758038,24.9785842853348,22.826962446793747,24.767311487941814,28.091862511675114,28.397531418066187,30.532366426881175,34.05112302976091,31.288502025707267,27.223519417541294,30.362865692647183,31.33465722877447,26.427088991059595,25.766070803726198,29.057240568992064,27.721937844036965,24.676160887856785,29.22477144829514,30.582081046829092,27.052662227508858,27.796329312552015,31.453780779680777,29.518381159925106,31.44476136174957,29.457490411142768,32.47999843291885,32.002811551848886,26.192362174500122,28.377232338440532,30.240633357661235,27.486483264358515,24.633928545397076,30.251614406142785,29.759699794301433,24.282730847720405,25.34847402862002,30.296882496643885,28.943889386782775,24.979649300157504,20.83801058297468,24.839239557064985,21.666168248966788,23.60508012053946,18.50580851883149,17.81853897504461,14.925479723227578,14.029762810561861,13.712060106495763,15.986099469270396,14.798283545402017,16.830549827749895,12.460517829724795,14.987017352221551,11.123433599098203,13.373781612649815,17.790881528263025,20.833148975430742,21.19279073450679,16.190544897605292,18.392778315121745,21.531611197554263,17.681027836970724,15.925164267035736,20.50303315321419,22.884341915563617,24.524765527919435,26.01651489640316,27.34563099647141],[22.811057134590275,20.364363660802365,18.05471336824269,12.900803959235795,11.26589380671522,12.9446239975761,10.690644554385706,14.530917425809347,14.12861103009229,12.263350722839455,15.684474130686016,18.88768404689205,15.523889166769818,14.124175838895217,19.02751072454407,19.522048381576138,16.21011640177684,20.086449644122606,21.176311500016794,23.155681615337663,26.24373732382662,29.905492101079084,29.43656682768812,28.26157496142192,25.08519256380938,22.01647554692441,19.87501110388847,16.776130919384105,18.967529757648723,19.90573406055809,24.430602364033902,24.1341717035031,28.381044118661833,30.994918574519758,27.84858003277628,25.101451567954868,24.209207030948917,23.11018750465307,21.914547686409318,27.36433130516571,24.59321029542758,25.531801788190222,29.66934480071081,28.449437624526617,30.59491256984143,29.14123038788939,32.85461113409695,31.842244363813602,26.871224969192472,30.011984189617436,33.076829560130825,32.58874606025684,35.20490498742717,30.15468743363808,34.754701052809914,37.981875019984706,34.35402026052322,33.69811567921989,38.60033088993498,38.83947133945298,35.232238646874265,37.175712292487354,35.8239618213749,37.37041196038269,34.5625538729833,31.025515912658197,28.649900564681765,26.297834167727565,24.231217571859023,23.248167889740124,22.749033577644195,25.977987446693252,27.272059538742134,29.329572415334386,28.74468384368448,34.986548413310345,32.463888403934604,35.82116522886498,33.95038883526453,34.16668300698625,32.25385863529182,30.90566348242615,29.966009035873796,28.937241602868948,25.348028757192665,25.165121950417234,27.20111867764449,28.88801559132711,28.572169742860833,32.764242823237765,30.75489180234548,34.41073370668392,31.615623202421077,30.121068530407655,25.620137679352084,27.265308940061562,23.200418160582895,25.227762558090348,23.276238035677128,26.323487051235187,25.29320173910552,24.97301794963534,24.585337584133004,23.38410277846831,24.996361865388966,21.258503467820912,24.524057286822018,22.884653276732198,20.404685546489247,20.80068970704623,16.550493016264262,14.12315264390867,11.488193936306574,9.033597023278414,9.691873934511623,7.936855956980307,11.815922386229168,11.673192639343192,17.26095791246723,16.385529329763216,13.914416746602738,11.504927647591726,7.538988560275339,5.430741389343257,5.694226273391007,5.881123230367548,10.596401970358775,11.529204538671982,15.064132888236763,18.57062288897237,18.58606702912146,23.015348210884664,22.099567313345464,22.92489316635174,18.121254746266178,13.778881978181484,13.038555749467905,9.614243062679424,7.308080128048067,9.932137200805613,11.870084197765427,16.491672406333816,15.73064683596036,13.308550390021562,16.77978462436173,16.080797216532325,12.956093045116006,13.866502379598582,14.566679788188486,14.021056992382219,17.32483401972497,18.844373974208747,23.604775558524633,25.728508972194778,25.12544099204334,23.8069824947032,20.393150359983775,20.486059877436627,19.386999449329554,18.493684966950518,16.091198019250477,17.989555777422353,14.711057552496275,19.307526187611483,19.520847347593463,17.078474882403555,19.55685623200932,21.338952332388548,19.35901706884381,15.41440912545198,15.971072868755778,13.815179163388699,17.768682894667236,19.532765933000018,21.041616775900142,23.251638552258783,22.04167111850092,27.51796878312923,25.521506201616877,26.782383168953412,24.52482830433887,21.79413498142292,25.28082205566848,27.0075423611721,23.865917680263227,26.582204885083655,25.653769699306366,29.614022475813645,26.95627998392928,28.384183459759765,28.176627658928602,25.404626182696052,25.219392316194345,23.630294882068984,24.849098524869728,26.126148013190114,22.034997216522843,24.54224795861801,23.48452415447982,22.459513369093152,26.521194286545875,25.47264214173475,21.42033064420507,23.582327308082885,27.08732056921926,23.741717335386127,21.129012865331916,25.98230173607662,28.312464643471728,23.592674696290416,25.23359478662397,28.858402182487698,26.781749957469803,24.658884000335675,28.767285588358778,27.239546455331634,32.58348566037416,30.95273538987117,30.384683639000738,33.99445029062709,37.40764853055208,41.77987458386104,42.053524614927916,41.36605990931963,39.13507201406976,40.5736957394536,37.13774387863854,40.42210370081025,40.35551390684617,33.94531235810632,35.24346695295202,38.612555106056945,35.14637437355976,32.037017024391204,34.23681029618328,35.366774470217564,31.703148206517056,28.70425920740769,27.149367116778638,27.791232841922856,31.315759368614493,31.939204807184574,33.356176098778064,36.988912084240376,33.513862542490955,30.030623053116464,33.712580391472926,33.96596965667588,28.931732416982527,29.2832699876038,32.36633778922266,30.751156458449337,28.405616047702097,33.275346586132734,34.312342768050215,30.813729561298377,32.33482253154148,36.04311996365638,34.40002025987808,36.05620977257254,33.72283924135955,36.98131662143487,37.05966093832589,31.267426503687695,33.155934051215134,35.5605104514748,33.062375586415875,29.923735368747938,35.546819424333215,35.61080134362756,30.18841334352721,30.748816516255783,35.91702638387751,34.99066538958938,31.0844085790897,27.14330701099997,31.219442015986232,28.190682119998822,30.175456376384318,25.059773812068798,24.079002493082385,20.882156840252183,20.478333707380862,20.176026473071587,22.41033311524481,20.844565301185916,22.468553985990766,17.468032112952116,18.83033251981367,14.215156495644214,17.139209932432344,20.21095266913622,23.620173276975184,22.732328927122396,18.317806450729307,21.707358327028278,23.932276679992032,18.970330277175616,18.869724088705762,23.7500316390378,25.25601513832255,26.70962699655865,28.16980774590429,29.57755480576482],[20.274096507901735,18.315809880907292,16.77916663364614,11.52831935972869,11.184189210818536,10.644513967697883,8.49647294399428,12.355464690595593,10.939778706860979,9.610630954540845,12.88119033017741,16.225931619386273,13.954220381657025,12.018984177857579,17.20873927417351,18.245672435565282,15.748162059624836,19.959926252576885,21.75467365437242,24.077029503566983,27.44434048820439,31.35790132127825,31.178961287069736,30.33360911358246,27.18932260496157,23.70850533285878,21.63257785202636,17.978651141348887,19.359903505377762,19.687588550342667,23.50738963412172,23.203432236003636,27.131441223939046,30.17558990585205,27.477374455778204,25.158033204392936,24.352975493901926,24.16533796861264,23.57915958810344,29.408802641128773,26.92082275228932,27.257173542026504,31.603363951426296,30.81302311859172,33.09522582169915,31.992800924913755,35.80108761079164,34.54189790904547,29.82989851776418,33.27812330210651,36.01361948538922,35.50545116002101,37.83212648168744,32.63003535397376,36.86836861265801,40.198457817265734,36.48952689730894,35.358052556994735,40.2649362941354,40.77254917427149,36.7899107135865,38.20630675128919,36.431094833052065,38.12616207040088,35.697425257094245,31.97401632274092,29.248952324672537,26.42283450985865,24.20408133957491,22.47003053414314,22.049473460730624,25.057838261979413,26.380697026206708,29.076585782684962,28.288199659988546,34.67962021405388,32.644438771074434,35.72170782695113,34.256578641911595,34.99499556804737,33.03413363213225,32.28855059047889,31.156987856470813,30.74551024534404,27.289975332097285,26.441468166980467,28.327841492620284,29.369247272231643,28.997955963853073,32.532223643035266,30.30689237869553,33.67110056886285,30.51338191750265,28.70883761599781,24.031207550736582,25.184108719001443,20.91877479417834,23.314141844057367,21.20884428561268,24.083259584577764,23.980632336655937,23.864524767244138,24.241881913569014,23.289811498796453,25.900151031235513,22.016747798802072,25.468513709072433,24.32217052999564,21.425697403717958,21.25624777695505,16.662802378806077,14.726278516101639,10.969842072417247,9.901025818342955,9.534788782505625,9.18612413145911,12.800626475119056,13.639739683895744,18.410441946936913,16.621621957371,13.905748218969812,10.86668726465606,8.074689702392185,5.51692887274662,4.26657703076924,7.66325973897344,10.527692578416108,12.894525272671837,16.570864372731204,20.33258912971667,20.902537347735652,25.257070677756438,24.901424714050577,25.190509575099686,20.964058087014916,16.477459403963714,16.09482376130167,13.172468123204808,11.258219174805609,13.330012339012725,15.416599244340127,19.737740032400726,18.28789043587463,15.895960959026725,19.12539934667931,17.526216142720966,14.472895860839927,14.334429505762207,14.835062789332241,13.035462532749468,16.268422473572503,16.68671323249962,21.668540607788557,22.98429572102038,22.47672857307095,21.818181889895286,18.708471386178157,19.46357728854414,18.763116134254883,18.76806432653289,17.56503810050632,19.344764113127948,17.214867626918423,21.65789059741616,22.622352221905658,20.829422290234746,23.2454080938178,25.33840105698723,23.282365053958664,19.401782043931135,19.617484331979757,17.25746440253823,20.63150010443618,21.798275449595284,22.717666258120012,24.329196815625746,22.555453621328862,28.212283279100504,26.926465662609594,28.26242933586151,26.75579978121461,23.53033411070853,27.682088662528113,29.79564157302617,26.80082800641247,29.485400907247403,28.378689788342886,32.5568218612331,30.35214490705378,31.873929733704003,31.89347322819245,28.885320564855828,28.797842286042975,27.0632310235625,28.06287166559024,29.165710767793147,24.853550591932798,26.898038507095215,25.429343204700007,23.873798486375044,27.626480761068727,25.98268765609635,21.996311011285552,24.35582474879389,27.38822461885908,23.50854417207328,21.327321510436704,26.045750642147283,27.718276861405332,22.695324514276237,24.57060371040331,27.948930763422258,25.298109370682123,23.29074338291287,27.70915463356324,26.690591662256537,31.849013967799348,31.178772039827287,30.5395339868366,33.89465478539082,37.74490292876254,41.8520500478244,42.48756098522122,41.72331558389474,39.77264240287967,41.32318611052139,37.92440261411672,41.58898585247689,41.520281376589374,35.1055532643345,36.636322169018186,40.32885833263309,36.848317083862604,33.83972677774405,36.35075175866269,37.59967970920417,33.82615290062651,31.17433998041839,29.003476924909645,29.495408605467237,32.809264372179896,32.83401514520624,34.05265416662282,37.260390605574685,33.709176825637115,30.45275541677596,33.65591002946498,33.532798806259954,28.52494397975454,28.90746772203129,31.465088106907746,29.499592701107325,27.339905852974738,32.33513764704691,32.91627909673765,29.119467669070094,31.119829014713034,34.960686619636434,33.71516681721173,35.63831831264785,33.58879259303145,37.181824402154,37.023768672980005,31.302927836152136,33.68885993280678,36.14229745600491,33.51988701162604,30.84841963923049,36.691892882443675,36.63918505559427,31.289878731691893,32.33480901352446,37.50007613300485,36.43464153830256,32.55796557952214,28.362679400684893,32.66117174159049,29.38016214266237,30.7686222826178,25.492170921029302,24.369674174535817,20.533547553877064,20.63761860734301,20.955404997732057,23.73322374537123,22.5052209627268,23.79655133493422,18.620237987603602,20.275721436779154,15.31473602326401,16.996468018421716,19.91754209785001,22.99086834572074,21.598093890787187,17.239963511719512,20.4060483192667,22.07575754479787,16.861052078282498,16.75349374117762,21.618173361551715,22.621084528604232,23.955900710086308,25.35301884737966,26.93373089322828],[23.006110355511126,21.51810120354116,20.686599001395862,15.190685509972022,15.703377278708532,14.466165301854012,12.294251565538293,15.52604554036339,12.801987736626556,10.541420139051437,12.807094930886116,16.848112808350574,14.672886313555109,11.278906833400832,16.371799423399253,18.09505681188582,15.47073070963881,19.097648440931643,20.31993098993401,23.427997981210048,26.439376948043705,30.68958863001585,30.29958643692011,29.329896924505675,26.660967862663973,22.773206174276492,21.45994400957583,17.885274429052934,19.38016173953749,20.25655465711994,22.873899807610268,23.698979523760737,27.28295898421131,30.023909703285415,27.73435635271803,25.18165612253415,25.260006152583184,24.703334451217135,24.35799486270779,30.50273918256032,27.652960455557878,27.15350692302471,31.637963994365123,30.843414095124523,32.71712413305642,31.66434003977416,35.643733037437485,34.670098867196266,30.24690380119832,34.0181211269145,36.8138144664604,36.73600293563319,38.83157254685977,33.60116743438814,37.95604626162782,40.84324079034636,36.7576731394968,35.78430162004389,40.65815258754267,40.779585736246815,36.49814140148123,37.69698077615115,35.8889259144446,37.05390504849223,34.821064110027436,31.40889657807187,27.878120476122003,25.216416818574466,22.22686615960697,20.454703954481175,19.485722926109066,22.038524997386485,24.004144996071517,26.913918488215586,26.78034164121267,33.313314508302376,31.853358678506428,35.13203290621668,34.112737979424374,35.17509075939533,33.80176325736871,33.439190529389776,32.88140274239266,32.68939305048691,28.952113043675027,27.838080593221513,28.979587545338237,30.22909278971091,28.982356474511803,32.440720310178556,29.649878523548853,32.5392451157183,29.39341082194349,27.920312946528103,23.318867716181607,24.050018058237757,19.829432680673758,23.318439460107207,21.81034290548904,25.357079987027895,25.288940631659298,26.205060643603147,26.33558865165056,26.282643979490707,29.123925214195232,25.672566314428195,29.420084842495942,28.48927376554704,25.81666085059714,25.39886301323747,20.93634082588188,18.567361539129493,14.579507709739746,13.132485284745556,11.042130412808666,10.202524675611663,12.671534185178919,13.029926340278534,16.81579519438246,15.288862333840193,12.00619930699205,9.453590392004344,6.951008940832241,6.52718981591803,7.538698042166707,11.500360235054904,14.964632800972945,17.15397629553107,20.90435315104056,24.318090534380254,25.131272441743477,29.440560819075635,28.73290570171489,28.92053447054102,24.613698963691377,20.092709566232955,20.02452554563971,16.434162038749417,13.6581334188932,15.1999657213508,15.867065309188025,19.83412390007563,18.245658936009587,16.61702040113158,20.020505232051924,18.509566730093827,15.860636680028845,16.195394249904545,17.541476838507183,15.771483180111964,19.529405496523395,19.250167160656225,24.37745882653211,25.186424915751,24.130510637017096,23.824473688664494,20.602781149276368,22.133903833935,20.80564157455001,21.821203375227178,20.47875349403533,21.203351773140458,19.161971455987324,23.436934182601412,24.801306212740183,22.818329322010932,25.915621632375206,27.800925340797203,26.22732528904692,22.15661124014566,22.73635848017635,20.08402270119291,23.398039728920736,24.512269178276057,25.155665648675313,26.901826353790593,24.534949400204596,30.32867125654129,29.051438400015794,30.808613379722537,29.34417132430096,26.771801188529484,30.943747385841654,32.95066132534527,29.746219877489008,31.78038564843897,30.08423549669427,34.281951638424715,31.763475259729493,33.891197562744374,34.14333737344023,31.41020998613492,31.774106040257205,30.404859007865984,31.714650851483793,33.090352932870786,28.959918855796854,31.231232435498907,29.913266584626395,28.42653845776541,32.23284846617575,30.553662273048374,26.591209077750932,28.935598346385188,31.941131970078768,27.97688100872012,25.7313807522952,30.433507048253787,32.02252702392658,26.814260679126495,28.60062050788768,31.920817197989518,29.065993923273208,26.866590880738503,31.2985791456739,30.461806379878045,35.684473402061606,35.106588986213275,34.72215846949609,38.0743639761341,42.067387276744576,46.079079485305066,46.87187220340882,46.21350575788884,44.333769679868844,45.916256905513166,42.51519549418841,46.18393749729957,46.11537415583638,39.70117880224992,41.21837281738924,44.87271265388098,41.366412750001636,38.36208383012933,40.7926306975966,41.97400890656816,38.19733423188151,35.4899577748842,33.505203717188444,33.98811632384292,37.341827874876095,37.415213787941845,38.54362788549347,41.706406426178425,38.04394867499425,34.93223518351596,38.10278605339538,37.799747272136266,32.820041667275795,33.31033483529367,35.659178757763314,33.53553222642493,31.501003884876937,36.51529114627399,36.862920019760075,32.89259929871357,35.10332101900548,39.00392656065138,37.921939518970845,39.98705154554871,38.04914904990659,41.70470781077688,41.43867383386967,35.73829234851095,38.24790984969438,40.63284390246849,37.93221872547363,35.35969372076892,41.20124752778094,40.99103887146099,35.60888315577934,36.7478341201132,41.85149358046748,40.60877007504409,36.67756380894318,32.38696645157032,36.44599822558945,32.93121706689355,34.447742191246924,29.126180503425463,28.395279365637226,24.456508651729564,24.201466712580235,24.810158854131117,27.51617152537368,26.551017728385965,28.164269493207268,23.125243098283473,24.843709823320015,19.906072922802547,21.52706568855727,24.33572052974505,27.323305962708645,25.609741340737415,21.462632056304773,24.53124043233991,25.845552236503494,20.502159885672636,20.43048254543584,25.171001925786204,25.73537683401378,26.874338887449493,28.091159740288486,29.761369260487218],[23.789452964608454,22.479095930476518,21.406427785861,16.74810217303485,16.2718199676254,13.841039901003507,10.67466376381471,12.620271970475095,9.37149273168091,6.037183945515739,8.027876483900593,12.146940866999572,9.90748926720319,6.437535186431599,11.628729415699336,13.34470938764807,11.308384737055768,15.290287168015805,17.541275062556057,20.34718353431757,23.808104562419793,28.006378205321997,28.138320834990772,27.77136214769183,24.836931395341015,20.857389232318805,19.16316158865598,15.105044489837805,15.651679447200014,15.932439680093838,18.354424590750742,18.954729728782944,22.439141589612294,25.360095754309814,23.21854395559074,21.01568188634012,21.024678794865423,21.236225773934958,21.450746128829515,27.76436900820972,25.414257337978423,24.551985871123424,29.10165502757099,28.88700929757856,31.191745199495017,30.726003407888733,34.64454148587781,33.06499213523037,28.99572548974793,33.03991654011072,35.19697061726561,34.9570438627174,36.67269934264602,31.338353427347716,35.16701469301207,38.24560213915688,34.26214091140264,32.70408322459437,37.53187011904614,38.107591636584985,33.60611356227014,34.36215075161141,32.21037554390955,33.79992825804256,31.846379989456427,28.112620869083447,24.829407951283475,21.66307565782442,19.21590347195605,16.884383123603207,16.544721402954483,19.41697914889885,20.63113252800672,23.771555019170023,22.95037116533485,29.431842032926067,28.00125758783928,30.95894547747322,30.053820047004653,31.404145691080963,29.880934529866746,29.97762395019381,29.27652010280056,29.643815908800107,26.097117652347812,24.383611346500146,25.444304369745147,26.131683229705263,25.03491036511084,28.034176015717843,25.334741725409135,28.270434421110203,24.966115291543314,23.250271792070972,18.58231798948353,19.412712341512503,15.157707382259451,18.403777942430523,16.928773730725123,20.704861436682794,20.538309883593612,21.912440779408733,22.06093432261585,22.601975318572944,25.985871096044455,22.939207913731636,27.04394744375429,26.772091716951195,24.399153009617947,23.230299707363756,19.123321093769135,16.31272989374521,11.992441434603395,11.011612391780922,7.672422446892954,8.337074429310066,10.228149778268683,12.19425783179173,15.164258806878275,12.352598741271072,9.624609581795756,6.291705182401937,6.398336096378426,5.329079622433727,6.0567983020780165,10.92893010397036,13.903202747341497,16.12227490141758,19.89660722329703,22.711646743635765,24.61076538952115,28.5415845151005,27.986013608612062,27.323805085116856,23.77778799559129,19.211496698352338,20.40689580462348,16.719516331579776,14.40608825520344,14.879742215296972,16.543789802614302,19.813206206807145,17.217157219885973,15.338301384305982,18.086120797635726,15.628964536347189,13.244631147358746,12.700302138855001,14.18746889981852,12.10127654989557,16.182635416165684,15.499592932057448,20.6150498472379,21.600928276418234,19.925404658778458,19.47680876307938,16.146426821186655,18.146376244934714,16.549356823122878,18.470655913244567,17.857819744029268,18.085621981659003,17.336128310552077,21.202057076730757,23.48358792157421,22.661246245728833,25.67944970084137,28.258018441543257,26.944569205313584,22.883625732431696,22.820689542942777,19.64446962781917,21.960562341103824,22.327575092843198,22.286828661451136,23.556501417726665,20.682777318581756,26.492654376770542,25.754774358549483,27.657148265283787,26.927861699141864,24.299777184185178,29.013844898832502,31.370860608150647,28.3008732446679,30.022878561217905,28.094408355648213,32.50303735534618,30.791761464046754,32.97683183525472,33.70260288418469,30.606441780744376,31.403433668781616,30.113708923321013,31.39838684037453,33.011916926690034,29.035498442672147,31.07693995301759,30.051611711493695,27.892544372992116,31.876828239103197,29.670191408204264,25.961215470621806,29.075189680161156,31.7021998018274,27.602303284217964,26.404353436317805,30.907632319173555,31.78475346621589,27.103389973833302,29.408961261363082,32.441126602303186,29.2775918148704,27.847956719173816,32.50411123914812,31.88417024898196,36.67208599891227,36.750002803940006,35.794633485250706,38.88066447382622,42.79950488435501,46.80104679891303,47.42604718337669,46.2216857059635,44.21132531454321,45.46420527747366,41.746165355574306,45.56436183363582,45.95238962130982,39.58030029156797,40.75032565387222,44.81617302714407,41.681263884110706,38.43853190830711,40.70754287650065,42.56091184360219,38.98759350499423,35.80507305562936,33.785010831659754,33.332501576217744,36.58461020434081,36.55610768866111,37.12783133988435,40.13387735980307,36.10807387214149,33.508866242381174,36.796152077331,35.9615975685498,31.06977675863888,32.210327864830425,34.30098871277885,32.06000948277652,30.615934524316636,35.70514382029259,35.850129881729096,32.13163955478537,34.825423819368204,38.631920768490616,37.78231963028532,39.54112064684387,37.38681196679297,41.20844071713729,41.384162506986286,35.822102820309574,38.125120016518984,40.95420588262377,38.515702453591295,35.85597991488108,41.709418250124706,42.02915082934878,36.79923855520009,37.66880046167669,42.95054340406909,42.16341720239556,38.364898395372066,34.25076642179266,38.70674030600415,35.49508490393492,36.66918116132151,31.394984601346632,29.986993387056426,25.919021652459442,26.506526469650908,26.918965538136153,29.807686299012367,28.421748508622304,29.30966662952405,23.864619923728252,24.887720952396194,19.766032941751156,21.28883648941226,23.01352273401426,25.97897497233125,23.5407376450813,20.109204985671834,23.737711890745896,24.37469264667136,18.720529687639406,19.956419312011366,24.55406125315822,24.594383537412995,25.61348479255134,26.849985614570198,28.44397918608819],[21.042747019716252,20.30374367826546,19.892351881476554,15.990917890682859,16.264804741271668,11.992874797491913,9.43832179534528,10.50795683197999,6.0909171445123,4.9261934012256186,6.114811913789757,9.656882929159968,9.92749552769192,7.1671792389465985,11.74973812416168,13.771367075419121,13.413691772561055,17.607227048206056,20.79566015352201,23.345436461761523,27.096212875223316,31.200962894546638,31.727792098332284,31.742665197148977,28.700193231071125,24.736890935084162,22.809053203376916,18.519918905037528,18.07209305282746,17.221076496789152,19.11445346578811,18.9907968144857,21.983964835025674,25.57592926172221,23.92330191575383,22.555838409674678,22.161972922934737,23.65601263705378,24.352830651841078,30.59079535512121,28.786206000895895,27.854046063893485,32.36629625372486,32.56404263348418,35.14304928614793,34.95419549979204,38.79866958916817,36.89151589916614,32.9678421100275,37.015229214739875,38.83603475455232,38.345895662599354,39.896676550160926,34.54239216345509,37.86784752863319,41.23835151495571,37.461690809954405,35.36854844125533,40.104935033186415,41.16520114993253,36.53510688205663,36.812864676413604,34.248633569293354,36.2595119128452,34.68574077998388,30.70109904350098,27.601669301244655,23.95358996591516,21.908524044929514,18.798105455638236,18.902407272641632,21.47053229981417,22.29234275168626,25.986840516375622,24.578890919014665,30.887633939153893,29.808170033202906,32.189450206612285,31.572375348968215,33.320924564790815,31.457033852660953,32.01401456204117,30.794107974778736,31.68590880282266,28.55640307825558,26.380513493582455,27.65773550173762,27.442541087469245,26.832750377018066,28.909564814867526,26.362550714685383,29.053289314294926,25.361100875992523,23.062833956449218,18.327529757733416,18.54469119259716,14.169185009006707,17.1891410181195,15.202578403972227,18.155281174529392,19.438918056163676,20.518615238123463,21.833484597561046,22.20768083670071,26.473876085762853,23.200574450421264,27.16549848405995,27.306644387367772,24.5299278292807,22.938227646547574,18.74378597157443,16.869537782429756,12.134196921805206,12.89815318413343,10.197875385298891,12.199151902947708,14.113067322099752,16.721302015387877,19.26964822801607,15.761415007335678,13.515892550345297,10.135178304633815,11.14064956431926,9.376896702981815,8.065201670317952,13.194356726165655,14.064329301140836,17.22974850972654,20.77139946704331,23.81924809429573,25.98480019925173,29.762097661947774,29.89469773223002,28.854668696313627,25.929938235746505,21.440334595472706,22.59700668512978,19.69987410372085,18.06574686919155,18.711260715795778,21.058233004818003,24.324854244245934,21.512844711195168,19.376307288487986,21.70620546188552,18.623017272870626,16.323464081855217,14.550305068391966,15.151369094175706,11.803859901631757,14.99102157449746,12.966579700212588,17.97416479128327,17.91378453961386,16.593315376142492,17.061987620368555,14.500824387417879,16.995062042522452,16.396507344832393,18.792240123236567,19.581291832808592,20.277475515563218,20.519730814695322,24.167006663345255,26.71923266014721,26.420769407691495,28.963535477085205,31.806327686601325,30.14773883362068,26.265155663689175,25.83196004424891,22.79818557285298,24.718984853000673,24.623563941833265,24.198693628389556,24.704493825356064,21.688561437375906,27.325285563834967,27.410226423495015,29.07919052469591,29.099328426980655,25.719339503643713,30.892240070658527,33.60467785656403,30.842303539372026,32.885259596987524,31.18695097943182,35.679654330574024,34.53718009913942,36.42679691835457,37.177644908263844,33.78424242444173,34.36917994795282,32.76398009611601,33.678469990728445,34.96201139716957,30.75873511796837,32.24944354016156,30.808571979283144,28.193785008545156,31.731763485555327,29.00146729461544,25.528826168461055,28.746654963860518,30.796232500923455,26.351038413467965,25.77428421014848,29.92114205785809,30.04670179017255,25.404657169396287,27.933034575056766,30.558757672531907,26.943832351347115,25.908671240422606,30.694643672277515,30.584286528974463,34.9324308060205,36.009967222130875,34.86258185873417,37.58259520413296,41.79502991250231,45.48879717974668,46.40055577858191,45.05908970831686,43.33868539214549,44.659159550129246,41.033603197058554,45.18656572397158,45.57953875077724,39.31183518962578,40.69141293297095,45.04414556837797,41.958055023185295,38.8613652272219,41.430550608903594,43.40830331337897,39.7833272258147,36.99630341938373,34.36254344673985,33.7729380732288,36.7247566095165,36.06579076283729,36.43878937170392,38.9351198837779,34.95100330642697,32.62812840143946,35.32833380792622,34.13791002744438,29.42137404353509,30.566800269852706,32.061909464444504,29.540040763239713,28.38715484129184,33.44072782911686,33.13136965975929,29.284864607962895,32.41923808602432,36.22845365593568,35.79831263208699,37.71526673129696,35.858016632405885,39.93152848087065,39.92785625778433,34.58382718441329,37.27007633346852,40.14037221026191,37.68064384113899,35.50270719974738,41.447852896204374,41.73914004761453,36.71070820476445,37.96789135378551,43.18768082973477,42.37361666778972,38.69958393690019,34.494224300361985,39.171667852123626,35.91266103042852,36.42816832368457,31.19541414412707,29.502253700951847,25.06982019987012,26.313151825615538,27.11938498773994,30.396842554415343,29.215480329643036,29.62253705147449,24.18798090038669,25.34988759389936,20.227215182069607,20.53809618954272,21.88909620005204,24.339320751972036,21.4981819857175,18.43776549874819,21.645793928644842,21.589739126476648,16.037595790905087,17.45821101879668,21.66178332799635,21.09993191385926,21.940778928057036,23.08835061046568,24.808072889432104],[24.129117820250585,23.695268029739523,23.475743104056477,19.76556476720692,19.94428499974936,15.467624640202416,12.755209286064932,12.83596303645759,8.090677161504518,6.105495171301459,4.7393133843249595,8.485744846601476,9.436981821889107,5.892554572792787,9.360877843743527,12.04186775791869,12.457257827186037,16.068162245121695,19.449062463173913,22.22129185813692,25.878518503470694,30.058742053738833,30.76252816266101,31.060420342975362,28.254720932994864,24.123450134629564,22.543229337867945,18.27294772589528,17.25686001302322,16.34201883271041,16.86486581394546,17.463648514618377,19.892829770209396,23.36230527007938,22.263134296606186,21.100408109982553,21.312321366199168,23.06492605638407,24.245055604217722,30.575540614133093,28.880646705814346,27.242302500962595,31.757424113586204,32.28741499698672,34.79836182848982,34.96305145172042,38.80965664767343,36.78134748581082,33.29448248887705,37.59644924805269,39.09541440771805,38.783846706837615,39.968288897467566,34.63060800836833,37.669389795561365,40.81953323951725,36.9218812945835,34.6139306181834,39.21817230367999,40.289926965761,35.39726722582005,35.21763970262995,32.42410283560434,34.31709282147081,33.11729298622978,29.221971734970925,25.78755591619568,21.988376503583044,19.844308956341436,16.284746940342565,16.47836189794431,18.710293598252083,19.420603639839907,23.45977945334475,22.050896436700118,28.28288226807983,27.743872616767877,29.959749099127585,29.803088889387137,31.97352544411311,30.453014862303508,31.563390694826975,30.64998115872928,31.990570774593607,28.876066756414417,26.248958098599605,26.947369805446442,26.476995007916923,25.37416856207126,26.936789991212635,24.06690002963769,26.308741056649023,22.50851384122625,20.264168387662668,15.640837996977414,15.357768136852764,11.03785562445723,14.910300832955132,13.552470778142045,17.08005211771773,18.439239028412764,20.590749156712228,21.7455560184522,23.073914657039932,27.63788819028282,24.932010957357598,29.12967945260195,29.67833799767458,27.230767291973237,25.2396651812949,21.426700940339174,19.18005442727227,14.571899562578508,15.175143339206413,11.514341212482895,13.657521123548328,14.490126189249949,17.378014802285648,18.69943697137415,14.80183824851747,12.865602050177147,9.982938825186022,12.36985362419945,11.479636307834436,11.067232367723582,16.09841965822783,17.266683530414817,20.136841246151022,23.642086195168275,26.191056351166935,28.863078489974907,32.42637311178677,32.40564026866381,30.97606865273307,28.354311163631483,23.912254678228255,25.638959511414306,22.399643700956958,20.552879724206335,20.612219457365427,22.599196029417737,25.294756892680542,22.064907647705894,20.324770228789134,22.31665807130851,18.95836540679371,17.197515965290087,15.36434776709551,16.457136249131853,13.286293777856072,16.63671128739012,14.045575485302466,18.74140848089959,18.35268233487317,16.208649088838214,16.939587347868027,14.465726083892262,17.71775950564137,16.596598956673343,20.050146741614597,21.0703823926147,20.886007196287693,21.798170491567415,25.01888382866362,28.140736765097884,28.234804715442724,31.055971037744374,34.04043027513641,32.7469762787431,28.79860736130476,28.317173439450798,24.992946789094603,26.452188980196834,26.006524927433638,25.107031758763164,25.418484039321967,21.85091194607595,27.375576504867933,27.794229770913525,29.75574803363879,30.183259290822818,27.241317167565686,32.559992623102545,35.327447727941596,32.547055852318934,34.043902843029365,31.925016388884664,36.452780448194375,35.546770962927546,37.774657202144425,38.86250979480362,35.497267497746655,36.51130083276626,35.1550140198662,36.22651952961168,37.757766985275794,33.74765019649811,35.28303659906825,34.07608644151176,31.27569929252773,34.91011957914911,31.99854244707956,28.686081963681836,32.16408083696137,34.05961525909714,29.601502872893683,29.37957337873016,33.42283822300129,33.24306173693686,28.812590103891043,31.457102776220346,33.92005384253217,30.14726549609619,29.342313306476207,34.149794426613674,34.19144961672856,38.3705830057128,39.71084016852471,38.46949187186837,41.07492760327643,45.287859060453194,48.920800224752945,49.82280375868364,48.29605759463242,46.55042694091409,47.721285731115685,43.96485014600063,48.1489137344106,48.75604188008657,42.537358930814406,43.73104316204815,48.21631582393122,45.29509484483833,42.09955202807474,44.52601050685133,46.7537822194426,43.2272211860701,40.192233722089384,37.69018335792842,36.70581352234023,39.62414473372157,38.98315047545902,39.048123670608014,41.43181445348824,37.25065885291098,35.28499019675589,38.01020065124876,36.480192859684706,31.903183876037275,33.40288677465108,34.65201582875072,32.03796363976374,31.260867391091953,36.27216073938774,35.74742927046872,32.00427525221876,35.41832356779823,39.161247019829545,38.92267500140145,40.74477728160323,38.853939778920484,42.98905345102776,43.14260100309004,37.90929060875874,40.52214895421598,43.535546662501055,41.168460740856,38.98583847961411,44.89909863502993,45.34376928055588,40.368148455290765,41.527341026090205,46.78252285483811,46.07927493739228,42.431283063505674,38.26511995815596,42.96509395560237,39.72109487086986,40.20870836785929,34.985826608524064,33.2448593577287,28.784884055463998,30.10397302438349,30.92347074715284,34.19395636565869,32.95342725345714,33.27810112795655,27.781270905035118,28.68884264333351,23.57706277421521,23.949604864573395,24.798301780661617,27.15623483327744,23.903424226127733,21.398998486893042,24.71112649589596,24.17754698763485,18.680791765555224,20.62980875890435,24.541880726942303,23.507824997707043,24.13931175333286,25.129978083894084,26.79542832310603],[26.664999905950516,26.26505951904388,26.280826668580413,21.904353099391628,22.53651154687249,18.66617944674869,16.085151770660683,16.859171544352947,12.229054023751175,9.65336991625359,8.461509683187664,12.387739035727986,12.422423678922458,7.796669609063111,10.8858243120297,13.990856883314017,13.621463840983546,16.398418317477727,18.753192985765967,22.276433002721124,25.411216679285104,29.85318054210713,30.182887449277484,30.184010527994957,27.866195723952913,23.498258614673396,22.669043677839806,18.71807536386479,18.27831459730179,18.302792282820047,17.95157166114957,19.832881634225163,22.057395212641467,24.91818183700557,24.02551773846965,22.3667246762821,23.408507514629957,24.28166962168197,25.346843186873663,31.801170944651975,29.610183437811394,27.48273342336431,32.04503695819631,32.34147758837422,34.3689941598312,34.3911274086219,38.35700458940167,36.75708202338971,33.39322007347002,37.82092876558177,39.58020168010536,39.665559522769975,40.818758067986934,35.52500779812487,38.8851833109473,41.575240806271,37.347637498447995,35.448209548496095,40.02740507430609,40.568421565493466,35.55451709730175,35.4094651618093,32.78905716735791,34.01011771905437,32.84580820335255,29.38243366627772,25.177903740904018,21.79240247825046,18.724834732526325,15.39983627983965,14.762779783884387,16.41087535657373,18.083523445244797,22.207250089470627,21.754380584900673,28.11158163838772,28.033146221033803,30.6226869123867,30.758456362710064,32.99925998521526,32.085117890316496,33.218443460342435,32.89811096327893,34.068038623832344,30.623515269119494,28.140658633730528,28.26213641409059,28.35349466621523,26.39998229030209,28.233005402686732,24.835421041618567,26.634509627214403,23.03246726049143,21.38874652682581,17.030008182977905,16.423125582506042,12.42140511244828,17.40029712106698,16.812430438044863,20.856068813394845,21.765467756975458,24.476851386876316,25.08011271103317,26.766659700443956,30.97772393827372,28.423066250597046,32.70261753106057,33.0101352428867,30.648703592707605,28.92289600285187,25.004738604562466,22.43141417981825,17.905696097989168,17.654106819175258,13.533378189139853,14.631101915192625,14.892513288857597,16.95410563458326,17.60054825509802,14.365700032328554,11.892147563533321,9.833352747501007,12.02255631746169,12.34921567929369,13.104720651761854,18.1172360397697,20.31912770618614,22.93472725506332,26.612411679645383,29.199523244424636,31.568244721174032,35.322381120120866,34.893475483227895,33.77958833526107,30.679558249639754,26.163687773380833,27.647529102598046,23.917448962158915,21.425586240615413,21.495533932748867,22.380846480050877,24.930588555919474,21.912365722084843,20.793476002275202,23.10323067775867,20.254480799284565,18.671470666391496,17.750375132686443,19.487526310546,16.880308265553715,20.62180564103468,18.34951683437393,23.06356079252594,22.62174523570728,20.36067080919185,21.064936794971718,18.403466836115047,21.654670550602923,19.978554384327143,23.445866577460958,23.704611327866647,22.977672366887646,23.277800575823793,26.556862432724138,29.56972192968038,29.12194484079454,32.43896252605328,35.068634880474946,34.03257644283323,29.92784459497506,29.886595293654715,26.520223203403848,28.354336455283985,28.23543591125217,27.507434124607272,28.27133466599399,24.589052879112398,30.181599360365084,30.19690714026992,32.42824970345927,32.44408767447629,30.094628297714852,35.1333061270136,37.64486854728669,34.619041440915545,35.7480328934642,33.2782587472512,37.72316466553916,36.27627987762449,38.92926871380763,40.02538985102754,36.990101383254625,38.190551824583515,37.0803791001419,38.422663192456014,40.11846057084543,36.17065434206627,38.050744593424504,36.913961285796034,34.459078982514995,38.22210057885711,35.58790940099557,32.08652690902538,35.305079622946934,37.49596394460887,33.0852458579722,32.28955806751601,36.54149341984242,36.76333992317396,31.995572423752847,34.38639047054438,37.04368995491026,33.358760050021566,32.08083604867164,36.823233217824445,36.76661376178149,41.258734534900796,42.20696158519787,41.319616779081805,44.120775131499485,48.39269302759139,52.067346002197816,53.04902628129857,51.78618656482815,50.042400188101546,51.32946412624396,47.63284505441551,51.70713079876955,52.16839923567491,45.86773440906865,47.123923873278045,51.412030686196616,48.32545551947149,45.14643697498357,47.52609956572122,49.49018972372997,45.883608199390174,42.8443452468716,40.57786706086686,39.92635309132976,43.004442222880115,42.58540759818521,42.84712647412228,45.407129002778056,41.26453912543303,39.10945922905769,41.94893430897028,40.599256348429535,35.939940205177884,37.26322693784405,38.66141042461157,36.07138092394692,35.058472818990815,40.08858201326755,39.62277479047216,35.71362661296862,38.969152701962685,42.793807633390514,42.45891209837097,44.43535958801069,42.593915921718974,46.66597367054568,46.656415800699335,41.29539933721466,43.96738476922737,46.807522398158916,44.299241988355426,42.05731414184679,47.99320133746073,48.192829549213144,43.061456354793606,44.27129710267056,49.49547398689807,48.556152473637304,44.78140109377077,40.496375655378,44.939710499920174,41.471470182439525,42.282535506207545,36.97098155765375,35.68482046759192,31.251516020754597,31.993371973258398,32.92529132480847,36.054496441570066,35.00263124618643,35.830304263894064,30.434275430147977,31.59233566411328,26.44415951359033,27.17610566417538,28.517940234476345,31.019510645475275,27.987352332846086,25.151104563589783,28.360883263841917,28.113156056063634,22.622247543820567,24.008816114328056,28.05933519597885,27.162534990352825,27.785963547263286,28.69369647219048,30.41219692367623],[21.47670465644636,21.543833539256006,22.294424781752287,18.43290227352025,20.1192979155985,15.242667800559415,13.81414720461616,14.724673786654824,9.980583739247042,9.91030794576255,9.441441239008855,12.462994043425256,14.234030305393112,10.830032330842,14.37584561821534,17.1250399937753,17.38329268636297,20.962528230000856,23.904409902691132,26.98756198087264,30.469934252183304,34.77266364350461,35.2374080391745,35.23989652559719,32.58111812042816,28.369644925337592,26.98184862057232,22.78521885509471,22.180339083199755,21.373882110938585,21.8538081551579,22.41051473767724,24.642006491253042,28.243667524648423,27.30970717477063,26.19481421990945,26.329862217184147,28.001727518524397,28.967146685907036,35.31324959064158,33.41499154631566,31.937284524859983,36.493474813858576,36.77300551082157,39.08637606924072,38.94290644075137,42.8767234232286,41.155280612836165,37.426492367950125,41.62102374672431,43.47851453639436,43.19148055415237,44.593657724130665,39.24400946124942,42.5038113164943,45.65474169349671,41.697570939244216,39.57120474674684,44.213488510092795,45.14303134723286,40.26910772423755,40.16506423162047,37.40645972811821,39.10452869816247,37.90165310169609,34.136560933318044,30.424546851233917,26.782597960546376,24.20171805223666,20.708284636982953,20.434519318481637,22.145020298690632,23.49678935217272,27.712509212371064,26.720045282974414,32.948579524618154,32.6795586461842,34.897286723768445,34.86561679899616,37.05825115087019,35.52602874089295,36.525302383673655,35.48288200567881,36.653394163171214,33.5146894643962,31.097216558634177,31.95019052434993,31.52813783812041,30.456472118671037,31.950045686053237,29.000746928957234,30.975465419205513,27.118078383693657,24.85437306904463,20.36372831813191,19.558754361985727,15.428677535793796,19.41233405700227,17.836216903502493,20.511680472601753,22.841701326231423,24.37822585139949,26.16275963814329,26.86189961930113,31.493347380827643,28.25170427553035,32.123466178210435,32.35529167581105,29.352172868332765,27.730003261769536,23.465190585083974,22.056860697417243,17.301081400520303,18.2541633579484,15.374776793014261,17.04690609959229,18.510507908909542,20.743841287679466,22.542980801384346,19.1739802195964,16.693574066215383,13.860698499042575,15.015195091858663,14.025895784577864,13.106906784965613,18.257656904506703,18.82615782760329,22.313944942449346,25.78915898483066,29.04073898994351,31.02685562335737,34.8727808757385,35.138989164239504,34.164386182970205,31.210894236950963,26.710290698022728,27.49942760744013,24.661622084943,22.759366498613954,23.60457305583702,25.290139296309718,28.536619107787374,25.791777580694077,24.04979506558159,26.482822733017933,23.44275596111519,21.350122688969872,19.68420160683063,20.37752791382811,16.83049126729609,19.560310044925505,16.62600391559488,21.197679413954504,19.748900335967523,18.634117180726033,20.186095681115244,18.320037128229828,21.332272910919045,20.957952786486466,23.839686738764772,24.912422523557794,25.355929529601298,25.678233456273684,29.27195287217734,31.914141625994507,31.384411840261542,34.10946904012649,36.75946296367859,35.0636533844982,31.130648737051988,30.923107218112538,27.960747367830486,30.038324969663503,29.94972634662,29.40281486882443,29.759386687171215,26.483515876273444,32.01606512030432,32.39525158455669,34.15965185823306,34.36930280631043,31.017643227581203,36.24713725923798,38.97247635201405,36.19419819343007,38.12789762152504,36.24633850954406,40.74198570851837,39.45726279713676,41.556012804452564,42.30995971407781,39.02309601749678,39.60706729865724,37.99315755180262,38.88856367654444,40.04457792142118,35.71494729268115,37.10710465844181,35.35409579140624,32.793551257948586,35.984679103109094,33.14253633593434,29.741534973286072,32.62624187620464,34.42855193791338,29.790316225473155,29.081443994927145,33.03341838973607,32.892989352125966,27.940661272065,30.273430630679833,32.649604900915136,28.730340339777783,27.486837071474334,32.20631250356844,32.54354945821814,36.75644404448624,38.390268830011614,37.5514555745264,40.09406642418477,44.662999505463596,48.024902742036026,49.36472027895379,48.25708285102675,46.883604373745676,48.429720233118395,45.034538351727015,49.35746594996626,49.54415882714749,43.345346337990506,45.02554653354305,49.371572678074514,46.13449648389296,43.25030326389955,46.053306356686164,47.78044818956115,44.016771021646804,41.66896957159483,38.74529676458272,38.48276469707873,41.30263872306959,40.28578486520958,40.71358242016997,42.86084910527048,39.03615849162565,36.7925381262715,38.95910909748447,37.64376311757573,33.110345390972974,33.99031363599093,34.98423221310431,32.230102882304976,31.113960312687894,36.02872673000638,35.274878667494846,31.12407650485766,34.47827157132782,38.333339281483255,38.26104542591664,40.547893435686916,39.13064158490471,43.33194587698458,42.893607178151136,37.70164855014066,40.85140644200488,43.48025697099998,40.83157059244863,39.13257532809214,45.12989495089262,45.04147173220561,40.07799985801217,41.80974726376499,46.8641275850152,45.69919297691226,42.021726485227234,37.6025161829805,42.1085965983468,38.522239798069585,38.76116882014965,33.525164824389826,32.20018129595912,27.516305440225647,28.606959806114883,29.97804899594181,33.41232057730049,32.72517068256087,33.32923759875254,28.16224605993032,29.783430656855433,24.743300284431506,24.3554690062837,25.944561942346645,27.951985761568952,25.07555816233441,22.12993301848172,24.564351444899902,24.103344076663895,19.013533408588263,19.73121106351269,23.423946237836304,22.316400751289752,22.87026274724919,23.71599959919828,25.63085257527475],[21.552511590289924,21.51420589954646,21.707891805784467,18.774964095132248,19.362157533324066,13.906137592215233,11.93106755857415,11.36699480430839,6.476825648124402,7.145547852414766,5.91480435860263,7.848737593298933,10.843457440520758,8.855004685445484,11.652031019648724,13.956583625456313,15.217535716696482,19.0701143061478,22.92869429062479,25.30762855982445,29.17461194526233,33.17960077282878,34.10333456050873,34.56184920729889,31.563131520788364,27.57839480608206,25.659969925108307,21.298216182460727,19.905608136744437,18.231264003401588,18.967394035298447,18.572870506672142,20.72140148096171,24.720965767493222,23.801258177320605,23.25711568835736,22.860094218055355,25.428851775191834,26.71655639449598,32.85763960250687,31.54563836137522,30.20947311161191,34.642935715159766,35.33104163542972,38.0817360271496,38.30109987005566,42.071142968346905,39.83770178981613,36.281725708285734,40.45711156710245,41.82050878445577,41.23591088636799,42.44217223510177,37.117951890267676,39.86457741690323,43.323427290962165,39.67664934416485,37.06395055221605,41.61381262190668,43.066431000924766,38.24133025806157,37.905117416380705,34.925793627757386,37.21227208064359,36.1393208885399,32.04229290308907,29.007031213293395,24.989843042961763,23.310382303462642,19.543608400346763,20.065857659211765,22.211013696147344,22.567607838356285,26.714956308559614,24.831496912608962,30.798700600674437,30.261577175727883,32.03873706417761,31.88740862395819,34.13993360136815,32.20519006627368,33.4155283212129,31.977845758412524,33.51895833928465,30.75787436126867,28.018271828838202,29.128521309422034,28.073896403184307,27.62019648523788,28.64479893046733,26.142760627338486,28.36548855998465,24.392455166354075,21.675677315917852,17.153627216148536,16.587049273222433,12.459361750810983,15.368897225280039,13.335778011189428,15.628447111085398,18.285436086957063,19.704388063909132,21.867197252959933,22.68324057685795,27.722190018539177,24.72941112800295,28.648650964453555,29.387375799058905,26.609917484296766,24.448551640191496,20.61955641913064,19.24292196022543,14.610985275034077,16.322796448708697,13.577887075215477,16.249305689619433,17.58910857808367,20.699502813074343,22.3895836907334,18.31905264087118,16.604926741049987,13.510710981948163,15.541813366141218,13.926148379592227,12.37975891417984,17.252503272074993,16.976271149701816,20.393071045378818,23.623896118390586,26.398444666788755,29.07789920322585,32.52254314640816,33.052009504335295,31.47791604436256,29.257261706650333,24.931488238373323,26.456756548327018,23.887945887539985,22.571508480967868,22.92704181670042,25.516457346101962,28.44126191158373,25.25137620294512,23.162275591252122,25.00199830095521,21.405325169279212,19.509037040319317,16.99079974926742,17.246753029827186,13.362698318154766,15.686925892437916,12.224814324809966,16.59802051446475,15.287343149131798,13.77062936829509,15.32732225713861,13.71570993694143,16.97400104467173,16.914446063087034,20.208468455990463,22.131404668698213,22.6135663332928,23.91297128469473,27.105933694229435,30.15906440219503,30.483882690002766,32.848756701065405,35.971094624356404,34.3224063595711,30.547662399754483,29.81527005510816,26.712488126874394,28.03597847440173,27.395469477832084,26.41322654941634,26.22100195722499,22.85546720700352,28.143452717361296,29.060389098736433,30.694501685240358,31.528467689071633,27.919527914003265,33.44551698872195,36.430257084912995,33.913194564443884,35.83488300155949,34.07351392991088,38.617387431643856,38.056511049506895,39.91586008509542,40.89531982829564,37.31065075099584,38.01611951636637,36.35742540656686,37.09830311358263,38.3026270070045,34.120130422462026,35.21724484240212,33.67349198801268,30.613826444342056,33.83510690374767,30.609633371566268,27.521402952516073,30.971522412368053,32.418765148937624,27.795833611066293,28.027332879612562,31.727447629949502,31.01065650763343,26.712750616608606,29.475549497536484,31.596509556090133,27.57831663562922,27.12369395516278,31.93186597992522,32.32367855857796,36.10398950424078,38.1447877360047,36.750108045977235,39.05582608368654,43.424985173215944,46.810119053588366,47.903673308901595,46.2979133187651,44.78449855736912,46.01713849367781,42.38828881344967,46.78520645066446,47.353300773019434,41.26337858947245,42.6355971211377,47.27669660601139,44.39110586936435,41.351181098870235,44.009512993602044,46.27128190902318,42.722665784468575,40.053245611181374,37.0948409270022,36.09235507180801,38.752970425037184,37.63500632720118,37.61099808424083,39.59576976802091,35.542727384347316,33.74148340776661,35.96875936796907,34.248203934919665,29.853809760773437,31.270547598142556,32.079151991391946,29.303778647088357,28.721617663556717,33.629791342737796,32.798644466859635,29.01573210617762,32.68406184250108,36.380644423843606,36.43395986610844,38.35107128479887,36.70604693875699,40.97428855648309,40.97898014396355,35.961262954639686,38.827451549827394,41.82651980527382,39.46862629918569,37.66399562306921,43.58133516422916,43.99834252804056,39.226117113723916,40.656815123060476,45.81484163786645,45.105216692412085,41.58943251547322,37.41733724432971,42.24693285584586,39.03895618109004,39.031574133936104,33.92286631651179,31.955182233450042,27.343706738845967,29.153690355482084,30.193484566016696,33.684435573464484,32.58195459362107,32.52954128477948,27.150384663723006,28.157173530477312,23.182486518524346,22.667148649041856,23.259505409371464,25.164057279647963,21.75481452967462,19.56779866374532,22.426773618839096,21.40400823450993,16.20972762094992,18.22279642430863,21.687346486453617,20.237433503423564,20.73674539156025,21.667116721461042,23.412627253188422],[24.88556583110392,25.369885122929645,26.193030867690283,23.151540641129618,24.330628381171035,18.80725299948707,17.112008412956907,16.483704445499935,11.65958209953359,11.692135397463067,9.330112897987867,10.927779172509164,14.334564978862627,11.578801037020177,13.015158730898,15.975776301219202,17.723224959570658,20.69213257241264,24.26643987513278,27.110866874058637,30.638828951539463,34.78145771735437,35.71061210098319,36.28058952422518,33.71844971969247,29.51874552784656,28.202830450057963,24.004712905784828,22.388681333970556,20.936312429476757,19.932359688809424,20.597598534806068,21.819336166617433,25.534572362844393,25.455364261191264,25.108064386210003,25.505788252653574,28.09094421769244,29.7345822978758,35.960747705473715,34.57425440274329,32.493005192450816,36.91898765474518,37.79693173705488,40.27446602963072,40.69751460780265,44.51906020532595,42.39087254601205,39.21897261146808,43.62234894702595,44.86327034923633,44.56045965728286,45.467973357191696,40.18328761170906,42.776520651855535,45.89058542649758,42.038657274951085,39.3667919283266,43.74830416612301,45.04223108988433,39.939214401159816,39.11177283800021,35.93377643447997,37.84400886284696,37.24018141706974,33.43387664800636,29.791003603125137,25.823284357731787,23.714787234703707,19.605075054217572,19.86361497091583,21.11641751558554,21.781794661088714,26.37161003288699,24.886342498086968,30.629936885678536,31.008342300275018,32.59799193184526,33.136254861405426,35.888233088378634,34.47212315678499,36.23976370322734,35.20333239473835,37.094204892809465,34.281060967013104,31.22610794224436,31.66751558499539,30.47335433959249,29.33089515976639,29.718946137006345,26.74449691880907,28.111658299800492,24.06990745147613,21.555438756932134,17.502650325744877,15.835138020280505,12.277665214911963,16.357892136727923,15.27740583002912,17.748497060677817,20.83132686922384,23.229026171578344,25.331536178691337,26.916103233824142,32.13676738527627,29.519110122439223,33.53083600831095,34.45763543215625,31.780861257534657,29.4866533658221,25.793286548583893,24.292911137830732,19.703438049303255,21.09647800310031,17.713014613098412,20.054557975654497,20.662779806266983,23.55698930470553,24.182361900354593,20.179953356111625,18.473959399459854,16.042332159154338,18.58522449423841,17.798188108107016,16.987486999528354,22.031462330634493,22.171875449818685,25.522104701586404,28.80390553684918,31.44220439160894,34.22788932704341,37.65913700356557,38.05922018009324,36.386409859558604,34.17203340355381,29.80979771136645,31.408426673252105,28.528286782069085,26.81830617329747,26.999190299531,28.919636207674298,31.53479258868164,28.211427568213175,26.614665195473762,28.406768486053924,24.82404083643358,23.308690306195896,21.06264495820876,21.77859314382765,18.128724934395827,20.499995468281305,16.665932633574386,20.46916599513734,18.30413546897377,16.398342423577322,18.606219193531825,17.408154916995713,21.17978734033719,20.769249014701234,24.75436054801381,26.665929323432433,26.466394797157736,27.966241797394858,30.945806383636235,34.30706470207624,34.60469601760103,37.31902737467932,40.364818342509416,38.94051549358709,35.04397892938103,34.48556715229046,31.233026209909738,32.502965034211314,31.772091894234485,30.53772345214185,30.29095772241989,26.512641528569816,31.641190418010318,32.7892834433961,34.68467983537019,35.73078426297823,32.51962057600144,38.07560135022101,41.03646363153975,38.440379307416066,39.93347674382303,37.78022953287129,42.3218698881642,41.71598467472023,43.949251928368575,45.12088902573083,41.66390231311811,42.64568636435277,41.16816337320744,42.053675987890564,43.38106863964734,39.243692586745965,40.41775975135289,38.87814183911058,35.829327814770465,38.994491953576365,35.69996460808509,32.67580506456611,36.0522415433561,37.389562642476605,32.70301085562689,32.90233706029069,36.51986565120276,35.62357085529377,31.242498135865493,33.90145587773864,35.85800099406309,31.665257595772317,31.130055054610565,35.871012195082606,36.52652087361948,40.20673638889476,42.559235314172945,41.33710087824989,43.5366522726336,48.07681705862355,51.26976742797852,52.57848937155897,51.034710522364605,49.674938158839915,50.950134908876244,47.37340450534258,51.83719726998848,52.40049010234607,46.356337309919525,47.77404053902805,52.44279586445354,49.54290589443242,46.543772637911204,49.21964891602893,51.450137391230726,47.86828962203475,45.24794860521713,42.28594630830625,41.29470781064936,43.92012815025069,42.70670358824989,42.57985928340504,44.36883926999376,40.30391180021553,38.706798248220295,40.7206691573887,38.79435873909117,34.58268236083589,36.02494454271205,36.488565015374895,33.58326036015173,33.18546551895965,37.964480485194436,36.80969708371318,32.94760572295441,36.81299939316275,40.480899905932795,40.79966776910777,42.860992335015716,41.4233043224066,45.75658877937543,45.61138451671657,40.71524343488825,43.758398247555654,46.68265369556914,44.26130941864231,42.65701474308178,48.58594314547714,48.85887857871863,44.10719898589784,45.70908371382291,50.81211799925099,49.949329652618765,46.41277573149691,42.13104107464476,46.84482377829253,43.440555466764025,43.37090434558305,38.243083433497524,36.52192149535065,31.7986001735157,33.42912510973148,34.7408151867352,38.26904290215649,37.38561239112602,37.50585336072284,32.20743432768285,33.34772199601138,28.366300146759603,27.737926445079264,28.331286012987437,30.036380140958798,26.499763183316862,24.561292075627417,27.103876926124464,25.75122928162039,20.900647138397886,22.67105523460821,25.745413342145202,23.846759555253467,24.06421190551996,24.697308173783632,26.470855251939856],[23.99113611951798,24.715216039648077,26.058537110978786,22.76382425892023,24.743733520009428,19.299598964413814,18.162449424274293,18.226461277662366,13.415554819211579,13.739569218389851,12.029621918986885,14.043975156424032,17.102778656967033,13.903433892486973,15.979172263959768,19.03003436527313,20.266227054274232,23.269443065515162,26.40553102971994,29.567609396037643,32.93748750219987,37.22448059748227,37.905334328954325,38.20300474737811,35.77381753902549,31.47617365408964,30.353088615932503,26.199794774092926,25.01480304064228,23.884743355005195,23.02823208702216,23.899044627529666,25.232493358042742,28.85810703375764,28.716875449486846,28.135910712804687,28.609959529995372,30.841858945878727,32.26770384967258,38.58938022987205,36.92795466523662,34.91165870884788,39.40723324169097,40.04018438407169,42.32057114461542,42.49659033136043,46.407058925273866,44.55382169939832,41.20388568746555,45.56987350126942,47.117370077214,46.905074085956805,47.98187200348892,42.66884084723493,45.53926729132938,48.57859705125884,44.60472063044669,42.17124733254854,46.621917722202326,47.691171164140684,42.59320938132183,41.91985811938844,38.85448435302297,40.50885671681272,39.815317093034224,36.1482272180973,32.2145339990558,28.437233360450918,25.887222524546296,21.955371672174305,21.779715724153043,22.76622775809816,24.00957420437274,28.618546420607405,27.586938602884803,33.437660888910294,33.91753943461595,35.695068797395294,36.248737709161475,38.93503015497965,37.60908110324226,39.20746918817428,38.22757122941942,39.899219146129994,36.937818779671545,34.08721252305187,34.55960102490744,33.630231693240226,32.341808528686265,32.96114787045547,29.846674415724735,31.11828468520118,27.133953730759625,24.79101382908727,20.760256472098227,19.025850307067106,15.50357323388612,19.79614851581023,18.66859942331444,20.965664688100368,24.161822909381627,26.25988838241614,28.4435716706332,29.689314916004097,34.79078225035547,31.859123556721997,35.74935503271848,36.38415508948188,33.429645513421335,31.44327924941617,27.43759364756311,26.203086298452114,21.497963604768064,22.788615919173704,19.61205404580596,21.551735299775604,22.452873341950077,24.890951927913775,25.78717417133406,22.177991766367505,20.03293660767305,17.623571852360087,19.515662092853585,18.837769086354207,18.027005731576807,23.16960560768523,23.35073851236981,26.92393198421858,30.273631034539807,33.315765945086426,35.642685334424925,39.30538842777279,39.729501646877466,38.413985672922784,35.83998068157784,31.39410555353535,32.4488539043504,29.63626882057712,27.75137212759684,28.343405787034325,29.922139389886034,32.8403375072665,29.826160845195126,28.301210339718523,30.445703243535068,27.134096078703866,25.397480846012275,23.44660814740493,24.150721195711586,20.44149037604214,22.78474719965862,19.058631565327918,22.975087415402335,20.49549229238219,19.186359541461428,21.560796257370416,20.389443161307128,23.936641947280087,23.68775971066183,27.285128288501618,28.931720500074743,28.986192825291887,29.951352022279778,33.22227964632807,36.272966057429635,36.08334178451944,38.864241003715385,41.6500057318466,40.05865497156647,36.123845864766224,35.814061636058696,32.730792730516725,34.45853074821166,34.03594243220361,33.0853567784037,33.05212756111357,29.427933030582363,34.69206584312822,35.61188525295283,37.46907822316162,38.20685120993088,34.897553836217384,40.34009155382354,43.209270902182006,40.52465921519158,42.209214008708656,40.12084311111777,44.648105280812594,43.66495189202311,45.91319150741259,46.88216715811352,43.53674836503594,44.31234226289203,42.74596323412279,43.61220402405774,44.78495768347011,40.481919191886,41.69397285852494,39.892346904609404,37.08637495483293,40.08155024281164,36.93871132222641,33.785020052655476,36.76923681955553,38.180808583928936,33.43660213899828,33.176206113042184,36.81904970085569,36.118417013223834,31.364595406134985,33.76418005924377,35.75100472085436,31.554479555021206,30.625177806706343,35.27076838375544,36.02604108157744,39.82439219962089,42.16310214071672,41.26662744018565,43.50561590511241,48.23178547381966,51.306795893762576,52.85869678996677,51.636759101409645,50.463653344836054,51.98096080540731,48.61826737288269,53.106779744681205,53.386199188480006,47.31833386893739,49.01555092676799,53.53493826547478,50.405869882352484,47.57412411930547,50.43499455164372,52.308774048573156,48.574938214498104,46.31162780767609,43.20641495024406,42.71245208826713,45.35536184562676,44.038897362941135,44.19901385024344,45.962133838852004,42.107813472107765,40.250556677337116,42.04508140079129,40.344356147305,36.09637244044399,37.131035515690435,37.570557904147115,34.630422110101556,33.927538648110115,38.66165195395548,37.45439961580152,33.33122170886275,37.05661027063891,40.806212950864335,41.14549457372943,43.49621579632367,42.31023490652663,46.639253656580735,46.128819562679894,41.2028117557324,44.52880443064367,47.18669037768622,44.573624691964305,43.18646302487245,49.16102027368412,49.07538001879682,44.28191347736385,46.185821749955906,51.17155518739988,49.99636694170161,46.40986189786544,41.97421102378095,46.50028735009974,42.867565288754975,42.77136119624414,37.63120778184211,36.26411795654285,31.46712020656415,32.79821222720141,34.40307781147045,37.95526303005184,37.402400848319175,37.813850412244655,32.716541291091424,34.28671461000695,29.31972303509612,28.471446053551862,29.626483819379345,31.2464250437894,28.028034555913965,25.684333684603843,27.787028276495008,26.650840905779464,21.988008621512346,22.932283253415743,25.96424711893318,24.16165006122193,24.36646406589469,24.911156380601593,26.826270415352123],[19.471434324989573,20.459598077442685,22.10965312942353,19.600564335883163,21.910276835393432,15.925352645085596,15.651812066811543,15.593228814318303,11.345030650334502,13.390396728676178,12.49525245607294,13.7138984638081,17.408874669201033,15.228530589064116,17.82256178733724,20.34658123917325,21.71250746308031,25.38125714835116,28.964783887058303,31.66405458735354,35.37721729190807,39.50359472968989,40.305878747686776,40.61405744024753,37.791263608287515,33.682262875279264,31.995781446462452,27.67214851559048,26.443086040372087,24.7827263111653,25.019934185450648,24.71747589262345,26.34053146185365,30.45730092664684,29.9759086464162,29.66993688849272,29.313553185174506,32.01433419462841,33.273202335234686,39.42605673217637,38.03004527749382,36.6670973426985,41.13430462930437,41.73085371307281,44.32314206659723,44.37731322191763,48.22607439483377,46.19936980866114,42.53298809882364,46.66798019648019,48.24489727654266,47.6780781133227,48.97885628084441,43.64793894043353,46.44178163677081,49.90028018342095,46.20990186432493,43.6237840101977,48.1467688075011,49.55883289132206,44.66610590738953,44.189186984103536,41.11244828789924,43.24713413767782,42.3522545613067,38.37311348415803,35.018305611936235,31.059064680220832,29.002499766892726,25.108319649812692,25.27245805290931,26.772272279858072,27.627587419985293,32.08406800386606,30.522515171507578,36.36379017971863,36.32340240836224,37.92222600094475,38.0873204905314,40.53826907458639,38.631759792574364,39.953441116670135,38.37680808396055,39.94758228479873,37.257258318279135,34.5573883397587,35.698806960186985,34.48357156982356,34.01462659541913,34.64628601319092,32.03845130179864,33.77666658613894,29.704431684244856,26.933989904678064,22.728325040207256,21.390938603588403,17.700202496571222,20.787033328687052,18.795209504772053,19.950568970989636,23.855073853113254,24.793552816833298,27.72594674417629,28.077815107569283,33.3060782941256,29.922296389277335,33.41987882245076,34.00527732725021,30.693083342713965,28.792492908119367,24.71460843461138,24.35324410432651,19.75906735823949,21.863235804542487,19.689685722360778,22.00538205723468,23.67286192321663,26.321832694881877,28.139630705190726,24.374971165461165,22.27412309326055,19.30400723483504,20.647251477356278,19.09127978414948,17.23880502175381,22.068892241538105,20.999236409711358,24.981450524404792,28.030556124992938,31.389264542586115,33.48149257559724,37.07338985837879,38.01513362183235,36.75711003146196,34.42201224696603,30.119891168075124,30.807392207003648,28.730799280953487,27.423540129337717,28.410573746868568,30.723772337662957,34.047398520614195,31.180988397824805,29.143827521960784,31.28342015764825,27.860925817204308,25.789682931363078,23.355516655204102,23.275287744137486,19.12077687831837,20.58032215431727,16.646056940581364,20.280950094267567,17.287607485971723,17.085280668094846,19.815406841312047,19.20397700268532,22.271631792233812,22.997182158601834,25.923585714813417,28.1019588966446,29.03770134097543,30.027106231803195,33.44466623551003,36.18805609145235,36.074658512480255,38.31768976251186,41.17784093959342,39.14647288175255,35.4307889254652,34.895808167296344,32.13083625317198,33.88905147831998,33.45543913556613,32.662257771022176,32.34673240046793,29.17494534794321,34.314426092283085,35.41445506520213,36.85974990333275,37.70396425014764,33.690069235553025,39.17906302340618,42.18186143722248,39.74329413359456,42.02839801125571,40.45266828731081,44.97767928025513,44.204386604016115,45.95414671962844,46.680408104473216,43.12870984570854,43.45214172303482,41.53071966817085,42.039717111644165,42.82498237539798,38.34751644050827,39.14875250251841,36.99696686321252,34.0849679424329,36.64348280823006,33.3618148666439,30.387276798235266,33.18542006533021,34.250511187409394,29.444411077149535,29.44857852074431,32.76709093398108,31.7312730830103,27.071354266322615,29.502559718367436,31.226377989871917,26.916863385551206,26.23714562872692,30.84065478235974,31.83605594238822,35.30607475252559,38.141015534612016,37.1204455439913,39.12382851850732,43.936182265378704,46.82520018886285,48.50894397874909,47.29249402553989,46.325466749406445,47.94504023232932,44.772582246298654,49.38655505359105,49.54010678937785,43.60849988082031,45.51719435343865,50.075138421332866,46.93867706807425,44.30175945082797,47.389576969898044,49.1875014277775,45.43596569636542,43.594893146193634,40.08057396743831,39.73203763113388,42.14288228082497,40.43530381698813,40.66646833640973,42.14171803364789,38.53494598538359,36.655209970535786,37.99992408844167,36.33683938404504,32.22509135741941,32.99133591327995,33.17133474911878,30.17338843798818,29.452797455818065,34.06635709181269,32.71699948731567,28.532919661350277,32.31610086010865,36.0325068481731,36.52357599085767,38.97534190432775,38.01940875591592,42.39206019620924,41.69763651660453,36.948301668863145,40.48281625090536,43.05131749449531,40.43842384197269,39.38346905610383,45.31602648964836,45.16839929069506,40.576790939898046,42.71722839244918,47.56949771345191,46.38510477817191,42.94126631898919,38.54690550796354,43.16783546609213,39.63324652421853,39.09437381712738,34.10847020430868,32.522866999647796,27.672958664482877,29.44791803512996,31.192341258041633,34.897749588054275,34.460114248531916,34.52964538237206,29.63957204218684,31.348593371059554,26.610811993576835,24.991928917516496,26.118422388902946,27.343815297268016,24.28005555397165,22.013819196572005,23.56396707172553,22.238831421186063,18.013094285106494,18.643648594834094,21.28657417638783,19.337518556132935,19.524829414224296,20.102302378918953,22.16671310763708],[21.62606573555766,23.216043772414743,25.36728254538046,23.497550231398982,26.008784618752284,19.762706789327265,19.782980732332916,19.13883576453636,15.166813005941389,17.404882128668742,15.910695208302137,16.317158936871397,20.798228001189884,18.87896858237694,20.588883654663434,23.159836740878692,25.17409264995264,28.51793388133713,32.28201299225841,34.94401095029079,38.62152556525851,42.688721475302366,43.67657327177689,44.206468738933545,41.483688855689216,37.35078472472654,35.76139824176271,31.45132503461036,29.824624502703454,27.867539580775457,27.325688651943448,27.022739835411194,27.951342629870418,32.124618456272536,32.214978186847674,32.387065093764356,32.12823264386633,35.31512104145775,36.87648501926429,42.955592520535305,41.79311087624501,40.15304268026704,44.556169382821665,45.41223623073649,48.03695914667002,48.308011338837304,52.12720375532992,49.96679304618816,46.5284409753575,50.74876619402302,52.09304629737535,51.513155132717564,52.603040055636555,47.30778883601606,49.77195898148257,53.221264488518,49.58807111186379,46.735881601829995,51.10311531933789,52.70035276996247,47.690100144934405,46.80518737077991,43.49702598487485,45.69501241550886,45.1635490147772,41.21411798215549,37.83163865048954,33.76527138499199,31.84519370911572,27.694766486206717,27.987150510744485,29.05636169754498,29.738006829177394,34.3953951947502,32.70613462522897,38.17482089512999,38.6121518397662,39.79571693985534,40.345112592049425,43.122489312836535,41.26495919402763,42.99769988214859,41.35449242133963,43.29366565223501,40.808662998139724,37.82144890519772,38.79396477940876,37.131221356570016,36.672058892130025,36.60031272119958,34.013555184831965,35.269634371683715,31.139217092887947,28.253603599329058,24.491220546989716,22.559967768909583,19.470244482822135,22.370777599023658,20.621602882112782,21.101335429470854,25.796814156851124,26.912643588973648,30.274203477757002,30.87775920189306,36.434942044619945,33.25541522553066,36.64177387045843,37.53710134261551,34.237103752249304,32.09235260702654,28.28649515909508,28.197834712419343,23.741136442890912,26.121427466714096,23.868213042714487,26.369320607855467,27.76712057903256,30.571430917010183,31.927618580139338,27.993638866172333,26.106597195375038,23.32706831338539,25.048323730877183,23.60887422095422,21.77337392104466,26.55040510915085,25.11033389144603,29.137550570809726,32.011654286559335,35.22558498966598,37.51845980261386,40.926406214077275,42.082461752073954,40.57773832985485,38.59091055180804,34.37626875003705,35.194066073768234,33.24655862193865,32.020392786024985,32.88914354782479,35.225478236878736,38.393355213968334,35.35963941452328,33.396931083161135,35.33865954046002,31.720903886431582,29.853414608623098,27.18359619900429,27.007598976936116,22.766263352430187,23.772316983496932,19.352526309323125,22.180330576311654,18.233247779541273,18.179346525955317,21.60897282791987,21.726696750658064,25.020022317367324,26.00207573261176,29.29646670240631,31.95945895987601,32.74487250542847,34.18994087382184,37.389845246711296,40.374897971701756,40.51854304557593,42.713926133992175,45.68386624136199,43.65651632731502,39.97848178788952,39.33679204608778,36.53965852763698,38.04629488542303,37.3656179442834,36.30179017033019,35.63709726465654,32.31730001144871,37.16083345369986,38.717642649407985,40.14228536308733,41.416557602415324,37.32976853537154,42.95686004438883,46.085020663591976,43.77548541743443,45.97503450643753,44.34133108852197,48.88118263185001,48.37963596550123,50.14844795903384,50.991396816987574,47.361731651174615,47.74664394726233,45.8002813998907,46.217597528909316,46.936207458778135,42.47014659167488,43.045070525497174,40.80230080077637,37.704224285678606,39.97971046971142,36.461792114149176,33.780015638057456,36.575114673169395,37.21848972609084,32.39872994893778,32.83080313436155,35.75858149744496,34.174229489663865,29.820412660621106,32.25264656316393,33.52779685360616,29.04719035766552,28.726522766034922,33.13211598597854,34.538838859898085,37.493633944519495,41.03531122914193,39.95436403512309,41.60250680765911,46.52096005599986,49.06807596173479,50.96800581482157,49.662762273863144,48.93884434488418,50.54459805690038,47.47991257493007,52.229643417552,52.43104723146231,46.70034575218054,48.65682900999907,53.33670789686455,50.31367548839047,47.787452286542226,50.95285512079106,52.84324955953216,49.1357145208305,47.468770225280494,43.74756752245133,43.24288806886546,45.43258238996252,43.39650269729909,43.408871176789056,44.45322485295821,40.92782243430439,39.40987856041029,40.294342253612456,38.31569948891368,34.571446568974125,35.39587124627715,34.997411743040466,31.874941558039954,31.553472312731834,35.864239693166446,34.06872974897557,29.994301652399162,34.055486468478016,37.590163759698605,38.50273348197261,41.00372952015839,40.33516098551794,44.77573922111091,43.974637445591945,39.575579638277574,43.26979658586239,45.81036723466182,43.25780468189617,42.5659228749071,48.40683789203551,48.24568318505364,43.89221987010225,46.21306317596327,50.93555641228855,49.74571431214573,46.439459589943816,42.081154341424465,46.69273046938173,43.168615087708346,42.256789125256276,37.44961449809575,35.813983692564705,30.951640712533052,32.967076026437496,34.902215349168536,38.68438897838562,38.384131363006524,38.236550072287805,33.50920998664269,35.18132526876866,30.60746825592081,28.53915430181186,29.282519387151446,30.066457942641755,26.82978745734975,25.163803939643604,26.26624760191635,24.34277773108952,20.79905314507013,21.523485172764484,23.355982500621685,20.806781756818634,20.616281321947604,20.85169425046815,22.85057950938427],[20.9144401086197,23.034458824304476,25.5273439189477,24.9316904445272,27.457922726994525,20.944559340527736,21.65398586891968,20.393454825764444,17.40108304220968,20.5993366645385,19.288545088619667,18.634776885694144,23.726362524263376,22.743258867350395,24.145796814453078,26.27333072491859,28.752853117496507,32.26763464143647,36.45552339378905,38.68132998998357,42.570861830949596,46.41831586229664,47.654105466244054,48.38318800616955,45.42751661000153,41.47006141185431,39.5216129695741,35.15519072013279,33.21273054674722,30.699636538882093,30.46196450027532,29.283500456136377,29.94156120178241,34.41310444210494,34.60955542910934,35.32045429605103,34.499993916873294,38.33855176317131,39.98624390219201,45.78654907285658,45.04654671295235,43.71549589548951,47.99799909521871,49.0378338320397,51.940524569372535,52.31537003483556,56.02884729251151,53.5988679577521,50.13836391159742,54.219650001346594,55.34974935707574,54.47390610681139,55.546040298763295,50.31529870310831,52.41608673113069,56.16933784953147,52.847853357685764,49.68219244330177,53.946566878584854,55.96662205011353,51.0767114343848,50.060352226856,46.60966468765697,49.24338451290314,48.806285371792725,44.65132502822976,41.77044256281037,37.524956458265855,36.12976402820028,31.89168438574402,32.54141957172061,33.763615816609615,33.9874102322757,38.59003117365912,36.391691883976996,41.53619181740195,41.842615325310916,42.582183537049424,43.05980299401667,45.836260453772965,43.569862542597946,45.36735013922316,43.23097777040582,45.35645396970319,43.28720175826213,40.23160039311827,41.57603811698271,39.38547481444202,39.59011682495391,39.0463312529145,36.936121457205076,38.24866653763145,34.09545313057658,30.873479602787434,27.371669323690426,25.483766926361564,22.754454695475996,24.50649549043962,22.375322742352946,21.45662752785691,26.998366430850286,27.296938699541183,31.425455434914483,31.539693971948378,37.30325302887009,34.06853576236838,36.99528631100586,38.13680108278789,34.71559743946314,32.436317050224936,28.993256694024257,29.715865810397034,25.65529520448335,28.715869983007906,27.125725990915722,29.98488186329577,31.632153341121786,34.711628639014904,36.33699237548781,32.17918525058125,30.541363388423342,27.56705756676136,29.253408977014068,27.353879792883628,24.944526560321474,29.280526885323205,26.749724967655403,30.897001204238727,33.31156069744834,36.474786550437415,38.799659066724786,41.88612551958154,43.576416537122206,41.872792075233995,40.446999965385174,36.50864315870823,37.26998164993282,35.96728163072407,35.26624453414616,36.21567944830629,39.117550916286376,42.36390655134752,39.28903483821526,37.029738548551194,38.74046440922881,34.93044050130817,33.04206719649764,29.905439572292206,29.115486440545695,24.69780429455821,24.66509362059087,19.9999359654368,21.71386524255196,16.851157319468225,17.85800978625441,21.831806319389703,22.92765964226476,25.850945963005096,27.694005897374883,30.675219575412175,34.048591445810416,35.308972514769835,37.1500406364894,40.193163813051996,43.13603201461689,43.623196270296106,45.34641947992875,48.47909865812639,46.19645479067445,42.76486109194357,41.8294419887886,39.24685477959193,40.46901572247996,39.55306446304998,38.38254329678992,37.23085332533908,34.211976876067176,38.60717706660329,40.63443457939147,41.70511694325897,43.40672956264783,38.825183334698615,44.50774790535235,47.80501777246552,45.83028439461239,48.35441108719622,47.075922567309696,51.576567514693245,51.51263953723114,52.8969715780276,53.67937064293281,49.84682568084602,49.979110166782064,47.79155439227372,47.86874326325878,48.27110736633562,43.79039617844253,43.85524964249833,41.38460730628222,38.05150873096363,39.75558388748672,35.96639002004899,33.773438483714905,36.46578736421666,36.44643422261912,31.707072946257334,32.84556386223848,35.107544296937654,32.75393720180476,29.002368342587445,31.48419460481035,32.1137633728643,27.52166908465327,27.89816661676715,32.00351660303233,33.87275824804078,36.00975275675905,40.480678703677505,39.14286940137858,40.259050825433256,45.19234447032808,47.31692799552529,49.39089381370592,47.91755336456985,47.50926439028461,49.09039256750415,46.243229114996126,51.139266830885525,51.36229370746741,45.98524728743771,48.039482751132276,52.83608111711423,50.00519804890828,47.703702657669375,51.0138419273969,53.00356446913552,49.410417779724085,48.12299282840526,44.01795488648969,43.3680538951233,45.15598549940691,42.60038278847111,42.41144549560084,42.85326817826328,39.6048350784679,38.46513724226194,38.637028120285834,36.396986113087614,33.17428560940685,33.91943510263071,32.81662704183137,29.620454905473675,29.74560799736166,33.59782427400446,31.33836281563809,27.50264185650537,31.816459005810657,35.06165128871621,36.44634811191157,38.9287443956254,38.624628165192675,43.089794237465014,42.18154575244875,38.30687600872848,42.14469251534095,44.640615727662656,42.244240796835996,42.05443588608574,47.68463502902967,47.58938204138632,43.66797022690467,46.18109171729049,50.671607326223715,49.595430976181824,46.57289745535774,42.40027233819514,47.07592334313329,43.7787246466818,42.25317699631873,37.8062976820491,35.8591898071576,31.107715240198797,33.714543562678784,35.742412838570296,39.60840860120707,39.389417272933386,38.712704932793194,34.32006957994183,35.89611658266583,31.747838515022845,28.875071741280117,29.09443760478649,29.181493366971786,25.968592788310502,25.057497688686936,25.40684890736018,22.808680784176776,20.40429283012463,21.16366611939209,21.844785840049,18.708453724553284,18.152585871537262,18.12541146277946,20.05226886978577],[21.082911922496752,23.513907695545168,26.63669709973741,25.635100548973213,29.005911363761037,22.79510837123709,23.86521034177409,23.401519211201514,20.145519608516043,23.08087602580521,21.993738176328957,22.09781362322209,26.746908855956217,25.059574358837825,26.930248463187453,29.374706828872686,31.395211045643936,34.877698918224894,38.641390558349,41.28494165689135,44.99810038068089,49.05885002377291,50.02657236476844,50.48395842445956,47.71426123968733,43.59739916290875,41.9247301396735,37.586627719280706,36.0366559762122,33.93695544518489,33.59723639204225,32.94639751384121,33.74815464971694,38.062558707235375,38.22728685237287,38.590399904064746,38.0579342391189,41.438496667538764,42.916863341450465,48.92015448940603,47.81889645942856,46.406118737817636,50.807015362041156,51.604192793896694,54.25937083039685,54.40210804575499,58.234177002194,56.11732784054528,52.51202520693168,56.618409358279656,58.07765395530254,57.371192457250345,58.59041431555992,53.29654695554389,55.74192523218204,59.34491135052719,55.805771587436936,52.910448138995434,57.27625719968481,58.986161900292224,54.02418630830308,53.135449836192095,49.78335881246895,52.06903799864092,51.56259799759362,47.57244765832834,44.25070225894724,40.173415711731835,38.25023945759546,34.105692897739225,34.33727775681983,35.27459272069757,36.06413458005578,40.75884552203509,39.06758787577953,44.42066184495386,44.917439512420515,45.93630594290331,46.501607957303456,49.27792331977611,47.22714282190311,48.90656473872264,46.973000789037584,48.88240047109817,46.55321679474833,43.65642668560491,44.885485440687155,43.05261491525543,42.88707551722769,42.63405146952741,40.20703279534661,41.37712966489329,37.23601560870205,34.24367652916942,30.641966626038933,28.60838024142923,25.724631431651844,28.216589418014355,26.2573401890635,25.842715603218494,31.116232203726224,31.533365864633083,35.444051366933806,35.471179054477666,41.06214755112143,37.57793174161266,40.50283962944389,41.29575003549546,37.65052276753542,35.72795699486613,31.926933855471052,32.66262525079505,28.41459724587789,31.15767686825369,29.493159313550795,31.941503312800435,33.707672149453465,36.364210569558644,38.07848600414721,34.25262276766168,32.22595818246132,29.341751361444803,30.604324152362842,28.944598228119766,26.731589581118875,31.221186482180524,29.03665879029666,33.3128722233564,35.88674712724128,39.42864451622702,41.28590188134905,44.66158792106573,46.24677389539278,44.94158243297661,43.037043887646945,38.96293468730648,39.215354880967126,37.836781345549,36.850840017220946,38.1313541397962,40.57219225791985,44.04531024570977,41.232797864582174,39.12781402439401,41.19402206074019,37.63557611311012,35.58716433143797,32.82082610158043,32.24613727405081,27.85418631407448,28.166280150952378,23.742947739566024,25.89817636488678,21.219781133027606,22.29469523391937,26.113256864883706,26.837264544068997,29.7348664681261,31.367452433479798,34.17981923758012,37.10689708007665,38.40609524136681,39.70574381216067,43.04103444982762,45.747376024420575,45.70641142193059,47.61477702545695,50.4541674799648,48.072218172345295,44.55925055923171,43.93564710137579,41.462343725712934,43.16801224686158,42.58514282891694,41.67799613790359,40.85142917267403,37.83288453722102,42.50000360118445,44.20587774709773,45.36406190066655,46.68412438142855,42.161046960616574,47.72625173064869,50.89392247298873,48.74881912584285,51.35481773481286,50.020153856924296,54.533344784422894,54.01185081286112,55.521644440457855,56.13328860868294,52.45645959575117,52.45748924476054,50.24344836295575,50.378796039203245,50.6888154376041,46.058525409117046,46.26511258737473,43.56605038866348,40.57324044823063,42.17411945761162,38.64721990809955,36.245591296147275,38.46771460780854,38.63619056420895,33.88530790907788,34.341386973949206,36.679802713754526,34.70594981800954,30.46383833551994,32.540144572253396,33.24715471097774,28.745023443599568,28.498278234560306,32.39840820553737,34.371315968259815,36.68859410805508,41.040800750805374,40.18657979696235,41.385003100875394,46.52309570894419,48.49787298225963,50.875654461020986,49.86110028707075,49.66419312093622,51.54015075294033,48.94813693455388,53.816379248948195,53.6903696271113,48.27625755110963,50.633346109908445,55.20475707338971,52.08928592532996,49.96840545666468,53.450297293942704,54.996851099653156,51.22700776113106,50.301615397575695,46.12440775677272,46.06633683443097,47.93529182714073,45.37229927166767,45.54887925802053,46.057535709605844,43.03550886944563,41.54628081960572,41.57920792785648,39.679384264225945,36.373354752025655,36.63667538642333,35.62521762029508,32.46007727746666,32.12738439567278,35.89840650103576,33.65689271232505,29.517854327920464,33.516925958247164,36.84486138223172,38.200733664597855,41.0447861293596,41.03231477542167,45.436686742592286,44.073336392802105,40.15043405832657,44.28992827427663,46.42594674031112,43.78591210752957,43.82067039938154,49.483527700367695,48.92020957558944,44.93396559161638,47.78364688419726,52.121345359213194,50.639852253536894,47.54768083350332,43.195330920342606,47.57727906166088,43.986317725705014,42.478266954772806,38.043010254429134,36.62142381645872,31.836775588397796,33.9585188841905,36.33510476807522,40.17486830692596,40.36305271537059,40.114436634427335,35.964627737667335,38.02098646126885,33.85488715676818,30.93651101208957,31.87740610169296,32.005005757124756,29.213917430670335,27.71784582232799,27.682123553030078,25.540913063348786,23.22854775945971,22.971394006200626,23.703731025755733,20.898024185708174,20.384648380972177,20.219072734284357,22.242598392466817],[22.946864978309787,25.69606736365261,28.981066118936216,28.736829793720407,32.02255482130388,25.717445710201062,27.017570657630717,26.1123734239058,23.296628723820785,26.543484786034504,25.333933214846947,24.844905182150125,29.88169231728758,28.63910392192071,30.115192897610104,32.377821292303864,34.78556035542471,38.225740955909735,42.23975369478562,44.665897051697954,48.46118123660215,52.39309605009552,53.546885144241536,54.18600714626462,51.341943961819325,47.2978631846817,45.49531622863974,41.137500466166884,39.30920646773432,36.88557608020964,36.41874200732108,35.4107235659447,35.860082761158516,40.270506567617105,40.675034758902704,41.42994949788269,40.698396441003084,44.51278986474352,46.138347809511764,51.98080797486416,51.16000410631013,49.77797816681945,54.0953735972071,55.078423376233765,57.87761111572637,58.16086559507938,61.93128625096496,59.62885342403355,56.11031655831906,60.189289663116966,61.44819110095598,60.60365992925095,61.72486257740795,56.48100481924643,58.62817092931791,62.35772793102133,58.98839944778713,55.851519241780146,60.101583456762945,62.07541474405236,57.13162096096195,56.03204589822597,52.539546327622965,55.045892341312154,54.71603885270513,50.64824748426941,47.5584193430903,43.37014049416433,41.74407007337138,37.48618921989343,37.93061832554045,38.81781736454105,39.319540257766135,44.031761376242414,42.06323549585915,47.11567549988892,47.71230689275632,48.37822988160855,49.044443009667305,51.927240168479855,49.72174206207728,51.578028280908,49.41470456158202,51.54120708819902,49.47741864589407,46.449103887274596,47.76866505441016,45.55213580704644,45.678821797085284,44.97182078230435,42.78053246347261,43.8059459636111,39.66949266033434,36.522061268749994,33.21541688299836,31.05165848354038,28.534657149782657,30.468383566970306,28.477525085196735,27.321604660459634,33.06285650672274,33.217112563195855,37.52204844949507,37.45524282790264,43.19566910623825,39.8142933932842,42.487934856889716,43.51107145309639,39.87526667351386,37.80834392478978,34.3208372667195,35.4306586119292,31.418798359206203,34.487761883094564,33.02505239718029,35.69613171450543,37.451054643430346,40.30604078835239,41.96073475848299,37.960863349881016,36.12867753993395,33.21712788295498,34.64013373411255,32.83134951968981,30.420510651803635,34.725690491209285,32.03754082693316,36.31740761744084,38.62963008290571,42.03981430643407,44.00884008627935,47.14378671401253,49.02113721301234,47.520527248307154,46.010444547786356,42.100198694246686,42.427728531528075,41.34091440695659,40.602191854605,41.83234479282048,44.53895286898877,47.966299979496945,45.05012681446264,42.8435350257586,44.72432738097425,41.007482002984645,39.036064325621474,36.00141871147851,35.16811708604144,30.724451662102275,30.51150010444759,25.932581181031694,27.334570383262857,22.181194673820627,23.644194880038135,27.756477066897457,29.06835072760181,31.855689011398507,33.87077273467638,36.67662565411619,40.042677826977304,41.45517242204256,43.10059252927883,46.27120855491823,49.064226124565685,49.29454570579472,50.98603035721746,53.95292761579921,51.48549147723165,48.0949033805231,47.29163441901105,44.880843542058464,46.34224132192775,45.55559519128015,44.49418321382908,43.33762859157881,40.40218496499088,44.7390559392986,46.806742288729026,47.80592013995918,49.473731349256816,44.74768870090354,50.36630577293954,53.646373946288264,51.702877932766015,54.39367809031365,53.18576156558431,57.68095075623367,57.47397659888518,58.82475676566921,59.46953732016196,55.67319693292641,55.60741032727069,53.294950153490475,53.25413290237846,53.41689447344953,48.81903079444903,48.72149712399493,45.93141635258396,42.77368790777654,44.01832681664864,40.312858115608485,38.273824899299456,40.45498853906205,40.16031552479379,35.52192611833942,36.4765550905722,38.33421939872986,35.81314638017089,32.08612346369035,34.158734297611346,34.36681084211817,29.860795650196213,30.117472764038798,33.701691293153964,36.010116367220434,37.67207725094201,42.69177979687828,41.67978412899131,42.45921763950981,47.570772584518124,49.17617116630677,51.693522532880706,50.55381539309713,50.604409820200814,52.43092071965362,50.000121356670135,54.94718944034281,54.86970752990608,49.75075315446412,52.13283916964529,56.78343610003058,53.839504969131546,51.86781972883022,55.40827214957306,57.05389117716319,53.38902532771817,52.67520244682596,48.290310032100344,48.07007843591169,49.6585849519916,46.763002918554704,46.741214729927634,46.78951428337021,43.95828778449217,42.820264600258795,42.35062657801985,40.2175953829613,37.364310812474194,37.63069161052479,36.07198387890171,32.89713132227307,32.96086262250543,36.298566363754624,33.686645317078245,29.839617655672438,33.97569304583872,37.000871438549275,38.749009700316115,41.54358657259727,41.81702730335091,46.20078605654087,44.77653132487148,41.307957508879205,45.50650713537886,47.60192779809013,45.10382172633699,45.50122383301739,50.970539652815,50.46332778176651,46.814420875051816,49.7718050855927,53.926736247090176,52.53235860427265,49.654724365706855,45.45337815703946,49.83838618236976,46.407098777101645,44.49204829899132,40.34676698633128,38.75241325112856,34.09753200835851,36.55837385579063,38.9792533481232,42.83888302797105,43.07519296058103,42.492891973374896,38.56560297506906,40.50611694049247,36.6072662049209,33.273573217577905,33.79935516118358,33.473642455434195,30.67520788392785,29.765923874963256,29.297869841100155,26.697207754871375,25.16933643874436,25.044477168695963,24.96807168322258,21.80243863473548,21.008166267738055,20.597343868794006,22.39913136614031],[24.20155804919268,27.26530978402192,31.063564703511755,30.91156999751956,34.776483544009025,28.765304120844338,30.47081907979699,29.99043850630696,27.252463896305212,30.511288304056,29.51250639193314,29.312830905537194,34.16056922931748,32.65692131578115,34.41220236079234,36.783972774274304,38.956667613185786,42.430597177849506,46.235677345799175,48.853615616905465,52.575007561725315,56.60954537059018,57.61892772794646,58.09211691808591,55.3223235023533,51.21172588032807,49.51398070690491,45.16623395059307,43.561169031481185,41.303611299070965,40.88225771881262,40.02297473467646,40.54239371622708,44.91582154160951,45.29660089411686,45.91878064088585,45.239927901552136,48.87129920305256,50.37783659906118,56.29447183676607,55.30867365255174,53.97020550998123,58.34637616648157,59.180634694763896,61.865566082514235,61.983871739699225,65.81515755315188,63.68883666436554,60.038032511419935,64.08522154738677,65.55289143229793,64.74985594942146,65.99426854147364,60.720772443824416,63.043811933842406,66.75026182121631,63.3022133509381,60.29645954987954,64.60314080621293,66.45234259110508,61.494110046385515,60.47424055511403,57.02589568734995,59.38677671754904,59.01484412987192,55.01313113397331,51.730598858179604,47.62489781018346,45.74235668468362,41.54677536733301,41.77185330729048,42.504994906282775,43.31189591362328,48.063761858243595,46.34248026301488,51.477873489828546,52.16075819392015,52.93185554667687,53.625663886858945,56.492716201022276,54.32946072578046,56.092335324492126,53.941491595605406,55.93491913415752,53.787101220468784,50.877033347925696,52.226644027565165,50.150804465480796,50.18801902125931,49.60117074667412,47.30431519026424,48.26180054131997,44.13288440901093,41.07136216224162,37.7357487046344,35.51342389565564,32.94304028528262,35.1176948540809,33.13627139042799,32.028532182076304,37.74195757245337,37.750924006448464,42.077115560300136,41.791815668311614,47.42517865786396,43.83678617496172,46.354815029629336,47.15866041167331,43.33060659054257,41.53113516596117,37.89947993285176,39.238846340482326,35.2250296561758,38.21734839533949,36.891005975329975,39.341100361396954,41.25458928760791,43.85485823980613,45.666899424139174,41.86914842274024,39.81554119353911,36.92192598123512,38.00792797790498,36.25903153382199,33.85841799441018,38.11305520056297,35.410914078191034,39.775176422299076,42.055343856523926,45.7291317158159,47.31299369404831,50.56262539909845,52.51430326020572,51.28939179946812,49.56887330100559,45.656357869026515,45.55550546295822,44.61679244090701,43.81978414559457,45.327907412269795,47.83260523771213,51.4559852392771,48.74841256316602,46.575716277170976,48.66418744331992,45.09804237112812,42.996156589207146,40.1226093847702,39.28485354888107,34.83502890089884,34.613356269451025,30.194796718686895,31.64755255826074,26.50066168406429,28.24142899636021,32.3182469837407,33.57426550447096,36.22792866589996,38.30444151872064,40.875246550018154,44.07762149951149,45.66173652515012,46.98760297333231,50.339039324228644,52.91660146300358,52.82282942562452,54.50655923520562,57.27143875449141,54.646341535409086,51.28782349968165,50.64947840888473,48.40807918241438,50.16687440960501,49.58175718053007,48.70735601031606,47.67338032930105,44.838216616018215,49.260816074660035,51.19749107159921,52.15528705144383,53.63224705983465,48.81166179396967,54.33096475696582,57.54669939582498,55.574441891041495,58.43560015605382,57.30140074662177,61.788958877725484,61.339882879566595,62.66267694881186,63.13938020297854,59.415950188666486,59.15437355074636,56.74778627187425,56.642835739617475,56.6200207391804,51.919989607132614,51.772391244857815,48.73593822495764,45.81785925483723,46.77136235810758,43.242808726791935,41.215832947327975,42.9381389471231,42.57980843316556,38.03937911268903,38.64083401310199,40.29263256524746,37.876131202993186,34.030900623831066,35.71392063108688,35.737576413612885,31.404291656235483,31.36801885231308,34.52854084422289,37.05831462634299,38.51188088465074,43.69856363909603,43.045385603655994,43.6763058756891,48.9040170915274,50.17583520252401,53.01860269683116,52.25271028680049,52.61751394343494,54.684116948336815,52.58665133724664,57.51711358070751,57.13308030511225,52.159504833977714,54.82260147302057,59.277106448066206,56.17379602138759,54.4596497409051,58.17489028801378,59.45219510783671,55.702411121873446,55.445291855327085,50.90124027284148,51.14184236239355,52.650250878485984,49.59595615083835,49.82381647865697,49.72392685416937,47.214207571933656,45.91230423446578,45.086476458562366,43.19189282434891,40.479608006497514,40.30327099718639,38.61032596716464,35.50531820539502,35.325091261761834,38.350179288732946,35.64191345857673,31.721533725501132,35.54902208995798,38.46171430531062,40.33290514936456,43.39986446160577,44.06813069345504,48.34384971393007,46.48439545471463,43.22601823370798,47.68483531501869,49.41277620110684,46.78762481406486,47.56769096160865,52.923761456136965,52.02293082487432,48.52587836566745,51.81870001098409,55.70764433933186,54.00375779037764,51.20501335201041,46.96806532122584,51.05252066074053,47.49081725182807,45.38020660565704,41.46301269921328,40.248893386148865,35.71175644663642,37.91086776666564,40.616088425069094,44.41687141845507,45.03150947147478,44.637465847730624,41.08626623664668,43.36574193039324,39.63590120207452,36.069997047062344,37.003506100450586,36.50242913872937,34.1042291286919,32.969773138105204,31.98171637910502,29.61356316061931,28.525479645001962,27.644674981875454,27.249011876087945,24.30083884959748,23.454744964173994,22.849731909370377,24.55511047910571],[24.706433610453765,27.84363110531094,31.52478876558866,32.03045786497846,35.58688744710485,29.478496123528263,31.287853289637518,30.377319654842566,28.071805720444704,31.640387860095203,30.62158480943167,29.90503223470059,35.01657810835766,34.01290594423326,35.518952185500865,37.64678669727457,40.11381346334127,43.645403511144835,47.74022646725794,50.063995547706014,53.92016531665824,57.79840393732953,58.99556996585235,59.643839124505355,56.72181901479815,52.72799747016296,50.80820170093314,46.43313530788568,44.58627877739091,42.00973742390936,41.7116182070732,40.39391577755437,40.751427616314125,45.24189060027346,45.68296928711612,46.61862208627297,45.64978199354062,49.6595257778434,51.254451118287705,56.978510129007844,56.28447753602009,55.08646579262579,59.369458741482106,60.36286364978541,63.241209059622726,63.48560707525115,67.23396912833569,64.8885622805987,61.286062157158725,65.26647894737886,66.5298057671957,65.54912557321887,66.72946052413988,61.5155255149593,63.56340173120065,67.43469724797626,64.19485741040745,60.97303135676449,65.18895080632028,67.316600300897,62.436209147638046,61.313654873476246,57.77964817836116,60.42481442257568,60.12060186917541,55.990073463413474,53.04650010737807,48.819987314898825,47.30094508920557,43.03423098309033,43.522116925991504,44.406015309483884,44.86119334984923,49.569691753225364,47.4947219616409,52.424590079315045,53.00353917658306,53.50095616554547,54.14458446295453,57.00797382611072,54.62205042460453,56.4492116382359,54.04254412138162,56.179731305735594,54.29838440731559,51.31849511166249,52.838802335762736,50.445656848941134,50.854374280376234,49.9812977623674,47.97817121942742,48.98871490237519,44.86493924229175,41.626738229726215,38.446731312981775,36.28938267248917,33.90621100229233,35.47461710313649,33.355817269117345,31.629934326739956,37.61963549544531,37.28381449261256,41.91074603941006,41.46308026804207,47.16620193402021,43.67620113031619,45.962433122489045,46.973798338673845,43.20476358155653,41.26459874781199,37.950182055798614,39.592041746195044,35.828510171178756,39.13021363392314,38.05077460159416,40.749118287079234,42.70058161381189,45.54263833734668,47.41076291785666,43.41385085834738,41.57106523675578,38.57925301741258,39.80933236480166,37.834298160840255,35.1943551218355,39.23735170969897,36.05767841022676,40.38141711186069,42.40793378301126,45.90460026446801,47.63581202251088,50.62660243631969,52.83145368693467,51.39986284106636,50.082930434524826,46.34983963194951,46.39455711644495,45.73454136620766,45.22837526164737,46.647963094633795,49.51361366336845,53.086416802888806,50.26689843877592,47.93743356249215,49.81798630042389,46.10358343715038,44.05610301499188,40.91189326842316,39.797656371975634,35.32734224459618,34.63269281793755,30.15949883160438,31.00822861345372,25.64374945583669,27.715040127259382,31.906126524256752,33.604025632691275,36.078532538553006,38.50449616574652,40.981786761078794,44.5672579658926,46.303279796107,47.95208391959304,51.13417263184914,53.769384137882916,53.99120861365731,55.42179332691404,58.346549788476985,55.65861566031259,52.436417836463086,51.57711015099281,49.390086125782425,50.86847598243429,50.08259401269162,49.08284374139528,47.756132907695225,45.0606021631194,49.17680212993737,51.39758340615724,52.17681877420316,53.949212038130625,48.93996648722632,54.481286121613536,57.7939932977624,56.02935490149451,58.983158046806594,58.01344166647252,62.468480672725526,62.35702126421424,63.47961619731401,63.99000470275916,60.13894429093827,59.81867153535465,57.32852235158767,57.05809999524372,56.92549871255747,52.29648010795264,51.87615429441211,48.8314997269832,45.72796853803986,46.429371298324696,42.73524460319271,41.03391938257681,42.82258536543249,42.08226203044438,37.65965540590206,38.79417058219568,40.0684865249277,37.17491994823263,33.861716738873284,35.65142057140272,35.300376283985614,30.975842552252974,31.488627580665142,34.481765237370475,37.19128996960139,38.115322747659135,43.7863211419031,42.856068889828,43.16077766236831,48.278709034695666,49.33915537269495,52.16704341091454,51.175245318027486,51.654580414377435,53.59998935657858,51.56838755770163,56.539814672666324,56.27720951732039,51.548364305707075,54.14595492809447,58.6947481730173,55.802469946877736,54.159264371272144,57.86425325233005,59.32384102460039,55.71258686565525,55.523849860942185,50.85447257173014,50.839251901729256,52.11203184058861,48.82689296695502,48.83952257549956,48.39374318307862,46.00678040059955,45.02396650222989,43.86352472363182,41.75993567093761,39.410833120504996,39.32249940744757,37.23695712054378,34.15473167159159,34.35023868732897,37.05650038867477,34.11065490441219,30.514368550106575,34.479024130509295,37.13173623968961,39.272485737305,42.184320853080386,42.97668314263992,47.22691351453578,45.45658211624157,42.55193339541396,46.94601514398886,48.73631292120715,46.29698552600566,47.2676835558576,52.45139269416286,51.73845447464422,48.51743652533991,51.77337319091439,55.56236117538706,54.05882164420596,51.44770771148329,47.395578113246245,51.57780087648949,48.24897981298671,45.844970715869806,42.1397081212776,40.619482023871534,36.20668502551352,38.80509481825798,41.41139304043085,45.22611372662452,45.73839344666187,44.966390903502706,41.527607023372255,43.59098781444138,40.091560371225434,36.24388468430861,36.719616204666124,35.88209148882409,33.44727472119531,32.84371787418658,31.626239185046174,28.878847840134778,28.360794108877275,27.775437797094664,26.808436308684513,23.60529264277651,22.59481481212084,21.898534846737483,23.40785979186744],[22.451623855127607,25.692653465711484,29.42097421477084,30.572451328830976,34.09145655499563,28.16795787688654,30.36512401716499,29.448397991682132,27.72447469449011,31.671876690718417,31.019542975161613,30.123362392093526,35.15106793103254,34.52086189895983,36.26808306566824,38.15129818444736,40.52557220249566,44.31125650408347,48.529656284438936,50.63353386824337,54.62622150415762,58.41327692858895,59.633810951007526,60.25266943868444,57.137406222822555,53.27051612252648,51.093122327303135,46.70170864431729,44.915801264100146,42.20181273169211,42.498330092906556,40.703564219779956,41.30777443404335,45.94621297183161,46.10587671388424,47.06783873848359,45.712730204943256,49.801729400101586,51.249922102559395,56.81666229715471,56.23733618081705,55.41522537751118,59.655554622522544,60.5832947134827,63.600052468432914,63.753306839600924,67.44571764364477,65.03782926289745,61.27057068471173,65.08230855182222,66.37491414850844,65.21163683822896,66.53196499043885,61.35541584647004,63.389583979878005,67.45665981043136,64.38487215816113,61.15485363043401,65.40399444445372,67.6679215734122,62.94820365276217,62.015491508796416,58.54340595116679,61.40762514302202,60.92411748979663,56.652446643680776,54.00681095008975,49.73671132044413,48.41312536452615,44.21971435649216,44.8203593612843,46.01350599902875,46.34278120698255,50.94690041649421,48.66603448339805,53.67047572447384,53.88593094165245,54.38951082863404,54.749212399607366,57.40239790439225,54.73257593174183,56.32046118364132,53.64137292712872,55.63546937391502,53.90370431266056,51.09270519988961,52.951391615485065,50.52500308250368,51.327896700138766,50.61312390515495,48.861836950574485,50.200083302959236,46.06816489121782,42.6931637454701,39.373908223618756,37.52491941057647,34.974801631630385,36.09950609508437,33.64914129412548,31.523938512111464,37.52996878097916,36.557208823144435,41.38610427577529,40.422232716732466,45.97618737027893,42.317758943437454,44.271546791512066,45.20333433958536,41.338863643152905,39.546999168580705,36.36026273277381,38.451338159773236,34.96421758034862,38.49113758754518,37.91249601058425,40.6658638540345,42.90200458242283,45.773982810609596,48.05640744330623,44.05055447214338,42.226957262654594,39.05770640208437,40.039280491403844,37.77073243016825,34.82283478084745,38.50616728881283,34.83288853549755,39.14441508349547,40.89485308877745,44.44591197001241,45.96744244193467,48.82271643115004,51.279806215979804,49.933618889308256,48.778341991252454,45.24021256908574,45.07832230468485,44.84360776651198,44.650117166086254,46.21652439370557,49.37887581199483,53.08878812337682,50.38784843623918,47.85199113364137,49.7082897561762,46.03397852930237,43.864931625527205,40.61469372086701,39.17443947357597,34.715093425220466,33.58482292193625,29.339740904558106,29.88867117077416,24.589015288073483,27.25954683828224,31.333584113005546,33.205552281880244,35.264681227251906,38.07865053831463,40.069854758502245,43.77721318832408,45.922697629312026,47.503166025297645,50.70476264289054,53.10801054191111,53.35371433406443,54.46670215641525,57.375059678734964,54.49808136049612,51.47027733934713,50.506921513088294,48.548141694587194,50.0150059616005,49.260409440373365,48.3944313446591,46.98421361103277,44.62023783767196,48.60237553146739,50.814831424543,51.351514842630934,53.09902959750646,47.820164078579545,53.23755467492126,56.54815695273658,54.95073215267823,58.1950580898326,57.52656501650179,61.91631569304387,61.89532849621251,62.724343160557424,63.08304779897159,59.179868302298736,58.604711518187244,55.95854788381802,55.48646343533866,55.1233353763776,50.50201389965715,49.83241376818016,46.64641355049778,43.57568533835625,43.93082650900389,40.26531028043273,38.78642506587065,40.34954708540032,39.342408482273164,35.072716125842845,36.39440909865714,37.307155382988064,34.19639558120598,31.187438669615222,32.88870616820132,32.241089358064336,28.020323422544916,28.813259444935117,31.544398658179574,34.40725305684826,34.92882574512038,40.916324260697266,39.896964372836145,39.96408455800166,45.03063935277158,45.905275993473744,48.793703500018495,47.81847085087611,48.45780100457423,50.44721531554239,48.60941983424562,53.572715985663656,53.21822156300083,48.69228024738654,51.38806136332022,55.87047843422436,53.030571733058615,51.562695079219445,55.343797441104215,56.723508730576725,53.17818532429673,53.27633376574872,48.44880057893336,48.53499656567361,49.61142217546704,46.12601745204572,46.19861654648184,45.540718498100375,43.42530632955437,42.45103404524424,40.945226614289325,38.94333142897903,36.818321497847926,36.48960346049782,34.2028377559258,31.192782299618397,31.399390709293357,33.813591492160015,30.775420605214585,27.28953479924324,31.161034402754478,33.66002190622432,35.93133385830632,38.862108387745636,39.86216283442318,44.03582824068215,42.14206086982811,39.49435898135522,43.9392880997518,45.609869766868314,43.23727751782255,44.45860359816755,49.47398660160542,48.73721700166765,45.75940427575546,49.10171848966894,52.7100891342256,51.24415161610386,48.80225845985611,44.899704691051944,49.05016097621355,45.897000461505215,43.216859060286616,39.76349677295073,38.116319288068006,33.88283881328978,36.71720545365269,39.3087645453837,43.08537513688339,43.649024073077705,42.64704827208356,39.50711583290961,41.57102659440033,38.39641690235647,34.21044419352046,34.617083713769446,33.46963306640251,31.333768319312185,30.893033125549735,29.211090065779864,26.42672754932274,26.567937750316943,25.723800692943737,24.208369136697012,21.055154314697578,19.981791968303913,19.2190807684499,20.649276132417448],[19.72939795966874,22.9082122182379,26.750353753176167,27.28643264441585,31.100939383427768,25.224929399030817,27.402289742105083,26.944823694886608,24.886599916109198,28.67187475155145,28.183976169479838,27.786929633605578,32.51423985642653,31.4919768104383,33.62615978977264,35.679603827502476,37.69864773873876,41.54599150759867,45.52361848711349,47.85019749142064,51.766265863057434,55.690366563440186,56.72093097147906,57.14794733493923,54.10828994129162,50.16166704765584,48.109008960828945,43.72566137869565,42.217034593481294,39.79493391164338,40.21403560058296,38.7336278216087,39.65060693957002,44.23278825483196,44.187882770735804,44.79368722276699,43.612946165688044,47.30987352538111,48.609486503555836,54.35125185990521,53.486836955409345,52.648489049122766,56.98294294170555,57.71779393527962,60.58781418401636,60.58219781543075,64.34543760071114,62.13700763631892,58.259734888276874,62.09336268673746,63.611962505318935,62.5818334617782,64.01925243352304,58.77861144641658,61.12292449322811,65.0788812977975,61.82978310708673,58.83352934464958,63.20828494913252,65.21341933719766,60.46268258290775,59.727424413377705,56.3779571665143,59.024533458964136,58.378723243482206,54.18047064352602,51.29154837238872,47.12397005662003,45.501047429624435,41.408696168624736,41.794989358147774,43.001449996270914,43.62589835096907,48.22934478090825,46.22491643618481,51.5131603483055,51.66405496854817,52.49489158420352,52.77939973703555,55.34940782269508,52.81960953935855,54.242610661882736,51.76366053122403,53.545713913986845,51.548791692103,48.86640919925974,50.65814320280782,48.586165060538015,49.11633003257798,48.81233234424151,46.826392357105014,48.27412800860722,44.12051522696358,40.873497770244484,37.28582911383623,35.515343986655814,32.647514319875235,34.27025304230382,31.819299773693487,30.29191087224563,35.98539108094408,35.213153103083876,39.75121462471877,38.823693433947454,44.276478901918125,40.44613452282815,42.62623076563752,43.302781417237604,39.344907358647944,37.72498264351231,34.16870190607957,36.00946973379878,32.28332398424161,35.559735635383475,34.86518927554416,37.40036504585553,39.70348549442502,42.35986062580414,44.746893453473184,40.92452339783328,38.89334324724959,35.73620562713241,36.49554130516351,34.33336105535023,31.50812104029428,35.33980556671249,32.03401021301436,36.41610434715112,38.40812822111954,42.177785180705584,43.52125540781926,46.65333008401458,48.87118126814116,47.757702252424195,46.184443995065884,42.474999716445836,42.1400727146801,41.68963719532134,41.277659189266835,42.96679180367774,45.87620927521871,49.68253025900605,47.116085264850774,44.66220452717724,46.72963693303123,43.21189516888318,40.936213116787066,37.92809227446049,36.6872899859138,32.22534047484501,31.51935507236858,27.370096212930267,28.605158800345706,23.577304429154054,26.027228043115727,29.939219832098118,31.327002086337323,33.483086443998864,36.01353287839727,37.97691304330976,41.294521325362474,43.397372993929196,44.613234344365445,48.01336973210182,50.299422494925786,50.23154587312047,51.538116213829014,54.29717867247394,51.44813967165981,48.305156878470186,47.53431765692795,45.55188842933665,47.311232351898546,46.77954038785969,46.08748037002344,44.98967350327917,42.55423073196316,46.87657044338137,48.75145173122492,49.42920630651779,50.830274473301294,45.683936065466185,51.06734537546263,54.27879047532855,52.48108380350065,55.69805259471584,54.927777168451684,59.345166641680834,58.988618418631575,59.957055031236216,60.25150230659443,56.459968891983706,55.901280966286805,53.31329856025456,52.988077801045684,52.721031697067566,48.01160377747885,47.61496050052926,44.431828413140174,41.540189339094795,42.18686494491391,38.68776468584529,36.830032376958485,38.35355600727225,37.785111971909146,33.342833236633,34.10968954653105,35.477061260543785,32.90005806749817,29.246444511901203,30.904879672890864,30.73058305405605,26.422953341172605,26.633986796576192,29.688441710287524,32.31938777111565,33.51473174033016,38.938253021745034,38.14898315741334,38.633546292187575,43.831211893259805,45.05278436534402,47.888868378464174,47.11306153035843,47.554974292815196,49.66552473419652,47.701570863853725,52.628002835623384,52.15992913005772,47.30988121161081,50.06413058933767,54.46572407742015,51.39242602484469,49.8127789098212,53.60500816193293,54.81910520261736,51.11909048960315,51.10753883483507,46.404907024527944,46.75112984738635,48.101702782482946,44.88608867600899,45.210821957300105,44.997201867163476,42.71105614912076,41.333392625589276,40.26267506060592,38.51746448806816,35.908228439381475,35.48619181651123,33.713937948738455,30.655524788887195,30.39155593077723,33.279147641840005,30.567599187514055,26.63169712336409,30.402443421538184,33.284633190129206,35.184099416467376,38.277252822060284,39.058181539690096,43.2934710507187,41.35416288683038,38.2172468221354,42.72105597290774,44.38036276062645,41.797616295670686,42.739921882829655,47.99290786726141,47.10522311012321,43.7737838739735,47.12069092295255,50.894444531327515,49.256745453988934,46.58566675540449,42.47451965889769,46.60411885100586,43.22388272227591,40.87149194506773,37.124559219133786,35.7099653465475,31.289665641419905,33.794922221729635,36.45712668546321,40.25551565761007,40.87089377004695,40.221090964761764,36.914026087274316,39.19589338485194,35.772968765343464,31.844871465570005,32.751663037619025,31.988393827973894,29.89347477087219,28.82685276770641,27.395378579164184,25.03600735053973,24.51706748601761,23.32411363464606,22.470587529578264,19.58290311180222,18.741455752128424,18.14240508796942,19.96141543844956],[18.215787967701814,21.027728287591106,24.34736378703573,24.704478396061823,27.99039967745435,21.801831429022354,23.62784070435175,22.840439564918825,20.719540694758624,24.54854996757016,23.97285436548647,23.384885600667396,28.204302299399924,27.406009641919418,29.411057157911294,31.35420550446273,33.493589154537254,37.35548315259547,41.481868761403696,43.650730899204646,47.629284686589806,51.47461637331224,52.60007559180794,53.134927964888476,50.02609755943681,46.1398870457874,43.989428410370785,39.59712820775723,37.950140966547316,35.419311333691944,35.91601865248214,34.29696155306512,35.26124840706393,39.875023885640765,39.7652866438899,40.4162452631512,39.17346340622271,42.963817136962895,44.32524932611987,50.02082675014176,49.2610221685003,48.417867988014166,52.71234899862907,53.53727846369438,56.49365237376768,56.599807013214175,60.316740023205455,57.98186613532146,54.18915805464456,58.046620792611556,59.42002165368307,58.36227885916875,59.721788319106835,54.49629642985461,56.7414705207591,60.71427737741847,57.51617002865421,54.44784246048384,58.79995870304019,60.87705012194021,56.1498383793153,55.40239520606767,52.04896778131208,54.79989073472509,54.141855593133776,49.889342978562055,47.16162468903547,42.94357417369997,41.51656611364848,37.41390227713909,37.96480151295646,39.3478076310877,39.74467694331419,44.2813989953076,42.09489170270292,47.36336188960926,47.379226681488745,48.18498859769459,48.39361562541444,50.93308095144133,48.36459284695311,49.811889754338246,47.334585805854495,49.18158633739803,47.21978972334757,44.470113762766594,46.259165427610945,44.13065827025139,44.732331528445265,44.42990246756557,42.524839698523294,44.09741426953575,39.94728340427983,36.64569277788351,33.014414108055206,31.381098421396704,28.472406546177186,29.898053827297364,27.377919209657776,25.874083579852712,31.51989259101898,30.824377774265976,35.316471467265025,34.53242024703803,40.06591856292897,36.36461704406345,38.720136910858685,39.552861363437366,35.74084456359269,33.89933052237157,30.39921041601058,32.01817232278438,28.257271264896747,31.59863350653284,30.814088996295013,33.52391922455305,35.729120292529025,38.582436324396504,40.88952943550995,36.9251093045566,35.05957173149059,31.86805736423743,32.862257553855805,30.62717056852096,27.77132858428706,31.651129751268645,28.36687372697127,32.699849164755264,34.75596630080363,38.3325534663984,40.0042273390782,43.080143828152714,45.201075881413566,43.872480770809304,42.425129006357956,38.6892444167793,38.71882850570495,38.11393880932039,37.741145231415274,39.20464423218979,42.284792627074424,45.93929351726104,43.21666300160566,40.72584994443487,42.640181149411994,39.016712057298626,36.82359218201854,33.69603324207543,32.4550998257516,27.98159849728039,27.310637236145798,23.03466542859206,24.344901306497686,19.35424866232843,21.630507855414347,25.520949634295768,26.88011836654735,29.123880228184063,31.600847850499978,33.71956680781576,37.13498881260782,39.119085387128635,40.554252130579506,43.832439265801696,46.278311678952704,46.45657111953068,47.78572147269557,50.710619164233236,48.000951563385186,44.81278398261656,43.912989811754535,41.778008924824356,43.315409391153935,42.63995312910014,41.819794841485546,40.66145514433867,38.151189168752126,42.459346361972855,44.385244177878015,45.107709382011706,46.61543421416517,41.54876380407233,47.02209673627867,50.280917492638956,48.479168629647,51.55855823053831,50.72369567221225,55.153392017985425,54.96172821887916,55.9632852577753,56.392125378782204,52.54570112221401,52.15731254966268,49.656203558818824,49.4082949343027,49.32562663917597,44.68892964321072,44.38026264966925,41.4254089675065,38.32455405475882,39.304072006934994,35.65110083456338,33.70986739493846,35.683603191584744,35.25417983669064,30.670216938527254,31.70198801711029,33.35975532894483,30.76871484952683,27.11536734028159,29.17489672557088,29.28000019265851,24.77899856004441,25.19747903035719,28.750061564314127,31.098595530651338,32.628337091916485,37.7628867665583,36.651258225680046,37.36251094437712,42.46136703727995,44.07970815549619,46.57772163109357,45.46678512874903,45.56080250304729,47.458765998929756,45.14340854741313,50.08631745975872,49.89412577582024,44.838364749671946,47.33370266416685,51.91660772205617,48.95336950257424,47.101309158771166,50.73205374125906,52.27402724178242,48.62668925513819,48.15395895008595,43.61877717954322,43.56618983816188,45.043986209177675,42.02175031107251,42.15385767040811,42.16627652329371,39.53534095540623,38.23271541443349,37.586737839642936,35.656342733516624,32.80606238390173,32.79830900714782,31.255532867956113,28.108496691568533,27.999331375359052,31.30429601049718,28.75393641711368,24.804859996747645,28.879996910899763,31.948363568154022,33.64899602045469,36.49450549931225,36.83715322230366,41.196387802575664,39.68352631401192,36.24297761886655,40.50050739389057,42.52570565883365,40.03204147755237,40.540875508585685,45.95276324221981,45.42911643021457,41.88303609186298,44.89863065465497,48.96595721727719,47.603845828184404,44.81500561545716,40.703848600577444,45.125487963221104,41.838841288572986,39.745439433094276,35.72291877708133,33.963305273135255,29.391519902220562,32.1089198055115,34.491505920307375,38.352510592381435,38.59856829058831,37.8190658271353,34.10583534465046,36.09672155095322,32.46406758714183,28.7809904835347,29.37396496596779,28.843652402170008,26.35824445045886,25.392708232920757,24.512022541396462,21.97746302457888,20.90273494455127,20.400477622353854,19.993277169215204,16.901633545225064,16.149984276101495,15.812647106800846,17.83590887494233],[16.31712776392021,19.002444038245322,22.507627522661714,22.05331715098505,25.8423263133005,19.892370509512894,21.767244997463937,21.74934257345071,19.232413380726676,22.774826515742312,22.50128917924521,22.682898198336343,26.963450442644287,25.589333326300768,28.17063311221283,30.33326654303223,31.93117353839364,35.86330342256394,39.619992574085124,42.095197019041336,45.95211378160733,49.97116116213016,50.83240777386538,51.090469261496644,48.08846991632134,44.10316008743605,42.129308425974195,37.76720524732733,36.538144217993015,34.43180886461527,35.10668671822742,33.9179076993137,35.27245734471652,39.76078202765439,39.39419718982393,39.57641930572143,38.557301878054886,41.79602298724263,42.931613604980136,48.822686138869194,47.68726439331027,46.85311913548685,51.25849913167855,51.80754483001199,54.558355896536625,54.426259521895155,58.236000943380866,56.18473860247897,52.22586238085409,56.08584200521156,57.78037196430319,56.883876869608365,58.41459104784419,53.126532261177346,55.77382264411981,59.60344369108903,56.19607395825946,53.44863846716244,57.94543756448629,59.688282450183415,54.944386247702376,54.46016084493054,51.2786884593147,53.73392275130403,52.870274811926194,48.7324257856957,45.687648990773376,41.63229048574408,39.785971493891864,35.84951324665629,36.078518819285456,37.45400139106313,38.282300726989824,42.800535753427155,41.01333215960933,46.613904995873106,46.562953054681294,47.77504084570555,47.891296507210626,50.30665535245995,47.917555642393964,49.12795990453671,46.89440584426595,48.438618308694195,46.157911644992346,43.61789188322658,45.33593653154305,43.679232108080086,43.943060803762044,44.16667895792361,41.97957793840818,43.66503599529993,39.52387234245303,36.424775281988246,32.49752126342242,30.976873431766744,27.69158701748412,29.77397247549928,27.298756692328862,26.576553686463594,31.710087815031347,31.21708817745308,35.29352363500615,34.490051629973536,39.79578013830293,35.87085352064241,38.41220505957494,38.86941603562488,34.934347380971374,33.40588275520362,29.470036580550783,30.82235884446679,26.807172158808115,29.765779302342516,28.884434636911664,31.234924960949503,33.57119794491151,36.074850039576965,38.568649067382786,34.90028326253983,32.71777766491877,29.548751823872898,30.148633469070532,28.066322348582066,25.383686950743655,29.41686275226082,26.63508743307947,31.032840723036205,33.358895734994,37.23962315568432,38.568363432590694,41.978216391369614,43.82585631091995,42.863074527611786,40.87067671251704,36.95506843392433,36.648603231073935,35.82846937153733,35.174264036790355,36.86516599841909,39.57841107317824,43.40574591309593,40.91262065265134,38.531570535062855,40.75517007968222,37.3862330239833,35.03215231814603,32.27576428041957,31.292941844482062,26.87550988941715,26.756988739570687,22.76193520623191,24.913346091996075,20.468665753129514,22.443711457391963,25.991544423327223,26.697996662665467,28.97020129192346,31.07467601817502,33.05192875170691,35.902924229741465,37.877843406593314,38.763351482655544,42.3178676469664,44.54453857267488,44.25468388108159,45.79988442443939,48.48172196769124,45.764957109121276,42.46242062445028,41.84181454741536,39.73991440981856,41.708333129495756,41.364278663970744,40.81622722088421,40.075827654246076,37.542514559270415,42.23422611517433,43.70626368103033,44.57026786605493,45.603915198500346,40.69942389650223,46.05810088402804,49.16174007082338,47.13033345853968,50.220293023861394,49.29967323795642,53.74117530865702,53.09177554393407,54.23716933642605,54.5355678149461,50.85147939069307,50.42123933689917,47.96807601546423,47.87171900705425,47.84496896790541,43.10655656116687,43.103712414669914,40.104364345270376,37.31559745994076,38.53659462489077,35.1783674551861,32.82524135862236,34.589970286673136,34.657760479658535,29.982733604427732,30.23180144663455,32.34469566542684,30.44777289849786,26.089381657718594,27.94416282816288,28.5466002863683,24.116555219543827,23.746419572973313,27.484722981362083,29.574212037725005,31.78818096107082,36.25551043315923,35.51556614167659,36.64169248110699,41.85113605172468,43.72329962998548,46.23524603860107,45.460746028754876,45.43607196514524,47.516465892450405,45.19146081151646,50.038842427123726,49.6335567360121,44.31415552492117,46.93363273987448,51.3304858702614,48.08527689418134,46.19946587328299,49.8672839866422,51.103820378678286,47.283541967943435,46.8221465876337,42.41927562815026,42.801636188457884,44.55162101841361,41.8162704511734,42.304989590776884,42.75584013124762,40.080483212400075,38.296930217389125,38.03082278595071,36.49079237583849,33.20570953313772,32.95275646453338,31.971019694815677,28.876673588884714,28.1666939030755,31.81269320244355,29.646503822691958,25.31095479021773,29.05602198811756,32.42762932392466,33.733605250611554,36.785824141816946,37.007808076883855,41.33728305042027,39.66306462274758,35.79955779638785,40.13997775589419,42.01957749140573,39.28708105679803,39.586570233993605,45.174443522441635,44.37640713918642,40.51151305622645,43.598128798425456,47.74266354340545,46.114620776979336,43.11303917631092,38.78944726515803,43.07420830203202,39.51855144278315,37.76894191509968,33.50197831659038,32.135301733098196,27.43298817534064,29.63987992218749,32.15783290920773,35.99650719786359,36.40015423194824,36.0972918603772,32.325830428759986,34.654929914694705,30.807940565214693,27.432861080457606,28.75320190057796,28.64428074168874,26.397303916170348,24.61446841130179,23.92038087162447,22.072885903607634,20.332339532314087,19.16865837178732,19.55626754992233,17.048379344015693,16.63886067506502,16.519912003385947,18.7722525881909],[15.45134966295454,17.47741818430738,20.368139567898684,19.155884350512714,22.59159862627916,16.521506153560164,17.929707779543506,18.073588578996922,15.157498932014681,18.49282462351438,18.32210487683471,18.855986400260825,22.827388896135144,21.29693313659236,24.11464287202105,26.301027873769154,27.674429563558597,31.654060725404676,35.33587097759556,37.83521094335358,41.678444307362625,45.72126191262655,46.521484589818286,46.73334240923194,43.728531294243275,39.74323265083467,37.78103540409691,33.42819613665652,32.30807256255416,30.362834813269398,31.209006239690297,30.166689847731206,31.795818544980097,36.2031809989012,35.62817612082817,35.57197276255867,34.6416874704692,37.63371360963402,38.7020127081007,44.66091615443001,43.41291787286449,42.563580161881,46.99167115191911,47.47844996369382,50.19724730298436,50.04859893289119,53.8664088529593,51.846097252553164,47.88751782417945,51.77494676460728,53.5005841516757,52.674502108089094,54.2155074488289,48.90905252378259,51.68169968832252,55.43802703412899,51.960658162958104,49.325947497665055,53.873755499271994,55.495956041149654,50.76563016470625,50.41187459246221,47.32746642268087,49.70904026760811,48.72254791692483,44.60421897416708,41.53366895318504,37.52918621704868,35.63389277322337,31.791763831630224,31.99422330565236,33.544255104844666,34.393916815201855,38.822144288170826,37.093684571388096,42.84926630172906,42.634933983053614,44.052050372274245,44.048273234953356,46.36364292657348,44.05320389652563,45.15612638874676,43.081672233139834,44.517672217917806,42.08893122700742,39.601528129188004,41.258699784186575,39.827120064080475,39.949953665047005,40.47685369410475,38.207821621306294,40.06842571476881,35.956861326621684,32.9468969023102,28.824916542205692,27.527842537565707,23.989838119027095,26.281048107510934,23.802473031339378,23.648576370520583,28.32279999745334,28.070911636921956,31.790094465692473,31.15456748174779,36.36910160497653,32.48410665590579,35.30955249950332,35.70816411181297,31.890180416205304,30.32656118087267,26.222603091344943,27.124744452495356,22.914458053618215,25.663659256120305,24.586003409654037,26.896046889596214,29.194520236553544,31.697833874905328,34.20635341228299,30.564901402320018,28.36150566336471,25.17054818688488,25.79411845421875,23.739728650681762,21.155846980947153,25.36788279298487,22.992106693158938,27.343793181704118,29.906798069199148,33.736008992601576,35.20693273812358,38.73694119742535,40.30919627983524,39.33626890802084,37.158304905561465,33.11211503065475,33.00589188727749,31.867428644848577,31.067052021259386,32.64310837019557,35.304855790736305,39.06810401283409,36.539289198723985,34.19213647923954,36.441703793982605,33.114278207098415,30.75559092792865,28.114334323215527,27.319408159187134,22.950830152135563,23.273180275915664,19.381200777482885,22.155405864705003,18.261765223583442,19.735493677513404,22.944947994751654,23.163300320575118,25.54334058488571,27.30652942150938,29.37090997405273,31.953954944750908,33.77100355336062,34.55605014306447,38.14363253800494,40.41743762648659,40.10802605881734,41.815607860138044,44.52606850116893,41.96201578622153,38.54404220266596,37.95700891089009,35.70619492181367,37.69403136991037,37.39568519976648,36.871628497078305,36.323463241442234,33.69508762441952,38.58359189971334,39.837959759453994,40.83742081932919,41.70442994499526,37.00384901269418,42.37300142164508,45.426972844584164,43.25941664135427,46.19701735499809,45.14944645163974,49.61042313259324,48.86584168474874,50.13577798564091,50.503244813372795,46.86091913725086,46.5908586894242,44.26454783319585,44.340419427894304,44.53877596859519,39.84089019312754,40.109482007928996,37.34217958289728,34.54145736887804,36.23137835418401,32.925112443265796,30.278105557202874,32.3659189783133,32.852926236809836,28.067619844520483,28.130214884903317,30.760018765225382,29.26654852792811,24.630121974351006,26.72250189305047,27.847010390292795,23.410789225266672,22.824116602832696,27.02152063895126,28.649994394531614,31.478487682407387,35.25215675778967,34.41207732293216,35.9438152220361,41.0417868224952,43.3703681437521,45.55914188979685,44.65411337645764,44.25166936287551,46.20596010165922,43.56956493191068,48.33946502015244,48.08922985718996,42.4854671768722,44.89732405850941,49.336960034472966,46.073501239220406,43.919339406430844,47.42074228231806,48.80713411816863,44.972590550301774,44.0604192945256,39.932346095758156,40.15242857971193,42.16517092139771,39.80203073708922,40.287321020549896,41.17967812854511,38.18126564893805,36.23626937609951,36.589827358053405,35.09915352408471,31.405005180769514,31.43279619838295,30.987479278341354,27.91382517077561,27.05228717984663,31.17732895781539,29.400957245527433,24.998755000132224,28.737360865628215,32.338340123027045,33.24742350483243,36.119564737553475,35.87211029518176,40.23953307921997,38.90013852607597,34.599566555685534,38.684836210676,40.811259917666874,38.07537769847313,37.84514161286395,43.617094058493365,43.02943476997365,38.835209915700204,41.60462307297408,46.037542161825606,44.547437205733644,41.34816727617269,36.95585380862167,41.40415553615342,37.83182517623625,36.54242099854911,31.940587982208807,30.472407829445327,25.63713024043654,27.716857829282606,29.977710975709396,33.81526757820799,33.9246394983947,33.768072392221235,29.57825160029938,31.773299641947798,27.59936747149858,24.74794465253832,26.15362814699755,26.55207518975434,24.086090422370717,21.935904617429372,21.996144154367258,20.447549931642914,17.70618568500769,16.955942971394922,18.349427276029566,16.12530241364856,16.061766092298154,16.345008771257405,18.680856777705912],[19.262362874558548,20.960582815210483,23.550256095952708,21.381402794377856,24.644696087260517,18.724787899817432,19.301654765747127,19.533846229886773,15.697503562215461,18.040190238440914,17.26668221096056,18.34484197518361,22.18283574902547,19.887648876005965,22.44349731402295,25.05850339275643,26.414257601979134,29.993473172163863,33.395552263748804,36.274849734480576,39.88797613304276,44.086363514290895,44.798028784681925,44.99855455074075,42.289601901801795,38.11639975929265,36.57210423344802,32.28072483991888,31.16702266413038,29.55414314878996,29.572666677630618,29.354555929041986,30.74392642130496,34.87405034627074,34.60005219585796,34.375045361144295,34.0610610258203,36.77650994914731,38.00121097056226,44.17176586635957,42.70092951045672,41.32261100478485,45.81298815048817,46.335495565136355,48.81807538725457,48.75869922721151,52.65462417576952,50.77250428180891,47.03479613066509,51.14329366044465,52.86552357987392,52.32421059081439,53.69130962291089,48.35496889384072,51.204777969275085,54.64844595509729,50.9186200738761,48.375141318649455,52.890585987835095,54.25290271850361,49.323565183756834,48.7877109337338,45.675782823636524,47.69504189989161,46.8867041280367,42.98990379636129,39.444284174193655,35.544264433358,33.267603904639216,29.357804269023617,29.3142449022268,30.457104398682667,31.602491453149497,36.17921590822085,34.833669809104165,40.599806832554705,40.82676210157214,42.35470178278316,42.68693274523459,45.23336860631658,43.35979869679076,44.72313445239492,43.094725783004215,44.654806421884,41.98020307408424,39.32126801630825,40.469345657312736,39.21033352367554,38.70466950618455,39.168732125892554,36.493121320241016,37.969645249507906,33.8794523339409,31.129251682107174,27.10556533080969,25.43958295353461,21.99634990126781,25.156555912548985,23.22492421899922,23.902029624344223,28.279435843931353,28.989291803340297,32.23910951590164,32.354417824902384,37.62117977867399,34.041494649538215,37.28699056074569,37.75276403860853,34.17261747383855,32.47134974547669,28.305038787776276,28.444194101473858,23.928502618840675,26.135418348139254,24.216547433256093,26.324866470704873,28.133609382775795,30.513078225328844,32.3919357130817,28.827020944466312,26.53571036063643,23.6581899449793,24.647633177371862,23.169209180629352,21.25490883158448,25.96535264976832,24.58459325542387,28.761987229792275,31.685416324643764,35.33847654632313,37.05446341807873,40.7190484166182,41.86777926872446,40.82622935292795,38.40135905362081,34.13556994716805,34.33202459916815,32.53030460697499,31.216942861513168,32.53729342951292,34.64966666972086,38.177096589163796,35.51514130971319,33.526436004615995,35.83452893468003,32.528442138556464,30.368226375610746,28.01524294005313,27.81049784486458,23.589081374421664,24.691110975697402,20.689189303972167,23.899309206485967,20.218063109067224,20.681804183718405,23.83530096738537,23.63425589747273,26.567553587962298,27.60990872326798,30.330962200651076,32.57154671820922,33.72267195254287,34.51026339963546,38.05471596506299,40.61177713502191,40.219770495985756,42.40325760218136,45.07836585342866,42.839732830470915,39.17642487012357,38.78100997978713,36.22319969574155,38.23792043092911,37.94198610532072,37.27100936278986,36.926416789247014,33.860659186824385,38.938210303756094,40.096354608149376,41.44883070558958,42.25993148153851,38.05725476984133,43.49170976360239,46.481129467981816,44.07700427608721,46.55808841960226,45.07893245149386,49.59067007901304,48.66094412691112,50.35613040367116,50.9232054528587,47.41500851147712,47.515100637714916,45.455464623480005,45.838365573938916,46.37297918744882,41.75220107340659,42.39240947725622,39.89418090685541,37.1388154585942,39.26914266256269,36.03034885134141,33.156094299581035,35.47587372415226,36.30936957707935,31.49515007322997,31.29525858131894,34.30747184313654,33.130290759303406,28.32119656499839,30.423566824042954,31.846300749742486,27.47640396264879,26.603699490397172,30.904713603216596,32.29742871172669,35.49916597313245,38.80335602744509,38.09481576170765,39.8743465471027,44.930831730641614,47.441187803545866,49.52868820241644,48.6206979516693,48.031179765591205,49.90600943292401,47.07217316645643,51.77338806375699,51.6351807431711,45.858056122879645,48.101974899229134,52.54783764945946,49.25837403587177,46.90832258331771,50.24452601091485,51.70423117623661,47.84290784616318,46.549662820907955,42.73579959093802,42.82913712142658,45.07925536067865,43.04068456260902,43.45524061291637,44.61466802137523,41.33837102016056,39.40419688768804,40.18839470648943,38.61821453334083,34.7392191376208,35.056611251308915,34.85241461162501,31.786315891013516,30.956326539401754,35.26353696967566,33.60495604987029,29.23572935185637,32.965040364522594,36.6233042165425,37.39429083942614,40.187385966026895,39.713656428817295,44.08388943390079,42.90872393687268,38.400547212207584,42.329967246493325,44.55890992601024,41.79506085248366,41.248944096822505,47.1198805481813,46.57104704768861,42.14532449930421,44.73437634840687,49.327798511536955,47.814924143471565,44.44990997977429,39.95876798817024,44.351632672500735,40.624938299844366,39.74958763080782,34.936858735144305,33.687400620619144,28.809847344960335,30.458796058493064,32.642168093512645,36.40171097924142,36.42269105701094,36.60684965332695,32.12866871467122,34.2500669643225,29.73620709932365,27.550122449453593,29.010709930613757,29.823719763966345,27.085432397950566,24.79876678078939,25.502638056656682,24.092132850485488,20.657990526591274,20.354037822844944,22.324234514152007,20.19497961108653,20.149670342011362,20.412608613025803,22.572295834933286],[21.651137206500152,22.870618518870774,25.09734051754701,21.90408271705337,25.07072163775738,19.70012567610739,19.6439752780546,20.4095836913613,16.025196023054978,17.217889885661908,16.344735354392498,18.34942519700462,21.376056807523003,18.214304195308966,20.95539103020693,23.8986520657808,24.74820061060209,28.01379455457506,30.877320368012033,34.17220190882599,37.49809189082519,41.86392592752151,42.32540960850829,42.32790105220542,39.90482581216091,35.596022247636,34.46828089055327,30.32100313874018,29.5479116867253,28.516961538784027,28.174538750895405,28.793952182797693,30.305989243752315,34.05537123883433,33.75610634027085,33.07622910409034,33.30958065136584,35.387373534986615,36.52719666250571,42.86774238825258,41.02247205486891,39.33382504002496,43.882369750183074,44.23502536008868,46.410446082617916,46.2568482775677,50.23109206537743,48.62930829006163,44.963229949112446,49.178711957828185,51.08388052311437,50.8323172849386,52.185577135295645,46.843050688802926,49.978042971075226,53.09945822937328,49.108865485520894,46.8690858044037,51.416980584009586,52.38101663671095,47.369415635840866,46.923751273436146,43.96194600603852,45.53292578923589,44.68162628601716,41.045127634090505,37.03437538116789,33.385441055289235,30.594701232114293,26.8623087878296,26.40288738915815,27.2863412163317,28.940224338189974,33.49930837841921,32.71636793119027,38.65143391474778,39.06136676370614,40.94152870458245,41.38267326535272,43.929223692269986,42.46957142469386,43.79892097193962,42.6379853570953,44.045088741046804,41.043105067434716,38.46607574861202,39.22838787267443,38.439792061538554,37.3216073738058,38.14289500493398,35.077468827623804,36.407275853623354,32.43147865304719,30.07074954039307,25.998804535090276,24.304720161584104,20.75588585680677,24.809009193545418,23.33243232526219,25.0243805357992,28.64106832011446,30.017585231335634,32.58909972225634,33.143830362418285,38.15851275560252,34.72279647267037,38.28071986001661,38.563265487512005,35.16027175549528,33.58560101906443,29.254467998332206,28.70240449820834,24.00244235025617,25.480672847573786,22.971519702868076,24.602817417433315,26.0982256773219,28.092951009063167,29.633270738873588,26.410075728228552,23.87274965031397,21.320605554525855,22.26226384606913,21.377556236735817,20.18177847852336,25.15979845908304,24.871595439331685,28.799348108548084,32.04884431876502,35.6574108145552,37.32111456052491,41.19628606532211,41.87036135443729,41.00551611214638,38.13642146266613,33.69784314478186,33.931342009625,31.552043948052305,29.725977709284425,30.958144420233694,32.41365254174668,35.8225454897636,33.25096186993516,31.617550145366405,34.12690671833495,31.07864381838567,28.996698306010977,27.173814571050745,27.552023641201636,23.655364944933194,25.579305971792447,21.93083434588817,25.747472622345807,22.744713631062442,22.46049334427463,25.143011519732003,24.249889888961942,27.38809420149224,27.682941482600608,30.621888423427272,32.19913606842963,32.86985630075608,33.27392700484257,36.898251854183144,39.46438606077201,38.741937931262,41.35804837757729,43.840724991897375,41.8682592412948,38.01500799175183,37.916855918718824,35.19908459092096,37.451204605321394,37.36877549075045,36.78999210906013,36.86078964012497,33.579704672874726,38.916351262320475,39.68353694017742,41.328714604029244,41.78272834334481,38.08995016360909,43.40012821210303,46.20941314589985,43.5398344708021,45.6836361369798,43.88353421546429,48.3813162230159,47.0571442567276,49.10794242193787,49.73267254416614,46.44805548427663,46.784460776160394,44.96906561747538,45.65243632019036,46.45856016159094,41.908486792175,42.97520043086842,40.703889400575974,38.18521563296993,40.73472694656215,37.75169189141323,34.563461079308055,36.91943003124187,38.24349492585717,33.46532533725166,32.72434231867264,36.187282533539886,35.591987731618495,30.464377483329045,32.466869623160186,34.32658755877147,30.140332243921243,28.783390648900017,33.17661417758723,34.19671742078733,37.94490918925324,40.49526502751315,40.0151199825266,42.16331061571882,47.148948209900944,49.93439282966952,51.883171033427935,51.10692486861086,50.2959292620193,52.1669672736816,49.19486256539587,53.746440919635006,53.60092070044064,47.61517591847271,49.75615111038682,54.073660374701795,50.66705175559427,48.16469289413004,51.34736629395469,52.7141586855298,48.79816480623451,47.20985017319468,43.76011864527021,43.963007430888986,46.49888116005636,44.88071913524058,45.42148014969183,46.99437145084652,43.541528930455755,41.3866897960596,42.67292387511108,41.27344103497457,37.104545565699034,37.50107295803553,37.762655247507816,34.78819087598545,33.71228291887107,38.24717142829272,36.89919391036494,32.469236576907676,35.98057493592918,39.767499776278456,40.22143140540999,42.98628028246307,42.26374389542742,46.56734143447829,45.486289024974305,40.66615119841905,44.43557635129732,46.671320533947785,43.82397124039741,42.908315079183794,48.86853846244207,48.26656409074533,43.557430904957215,45.96848259492032,50.69109398718528,49.090914906490724,45.532658219452124,40.94347109152882,45.20351902612593,41.31882479644523,40.96878311360573,35.94515727402281,35.00962885351535,30.16126395234507,31.237500044743655,33.31289833520347,36.92156844230317,36.89599863010293,37.544299595798726,32.88762733124354,35.05164655279542,30.28563216603429,28.835001029436615,30.650340033975827,31.95274160082399,29.24153308405055,26.51297791255286,27.754545784467755,26.82198115860348,22.747242099244932,22.46411598453199,25.13508509350285,23.432117310659322,23.57924256442893,23.963474012314673,26.045416269323447],[27.17789553912951,28.4998322071091,30.407026673896823,27.62655959174903,29.943959458747713,24.143189846539528,23.357091301454485,22.919884782317258,18.295365846626424,18.982930927308647,16.742958635096848,17.868539440228524,21.71613829748684,18.8308729687884,19.831497119849658,22.92039016889039,24.840500099243737,27.341912675279403,30.539671430375464,33.70976271859954,36.92757545972543,41.144245367330385,41.99357917891631,42.5208236991113,40.31125244669044,35.9900682812322,35.08998580937135,31.02198034005174,29.434402700273086,28.058124094805088,26.161079696999508,27.211052145563126,27.678723731803665,31.236958794306293,31.8370191347635,31.762316810793145,32.47210553896944,35.154632028380185,36.92049786502529,43.157525285842674,41.705022420685324,39.29208218338189,43.691824900367,44.60436760033144,46.83278576460852,47.253026034024494,51.12686222595311,49.19077752007951,46.15362882048202,50.62831864475842,51.93408133446026,51.774441211167996,52.58831918305123,47.33448721456834,49.858208548396306,52.79430032978877,48.83996892611874,46.157676980251416,50.399909606903904,51.592506004236675,46.343025756769364,45.163048378485406,41.851930568462066,43.44320345033026,43.230047855801814,39.702536266582676,35.6367994741909,31.82991493166266,29.363429567435595,25.205900605271786,25.098977439528188,25.369453648353485,26.497384691503093,31.313710789979524,30.291699717045862,35.6165481097559,36.80570559757284,38.11684598509264,39.21394229062482,42.31174294696509,41.16533180278803,43.26395415048952,42.30967350475379,44.388720097849706,41.61268973207029,38.44487092392975,38.6274541714977,37.252914501627174,35.83514011329792,35.62698176710981,32.45183680128765,33.00184724062385,29.012425066907607,26.66473945933288,23.28279492139428,20.75284406496181,18.122949620520345,22.297703953281307,21.583553274243446,23.265707028683078,27.217553349200358,29.62909728730844,32.19212462064307,33.78162651857102,39.22385087819783,36.51343266731579,40.33117648804054,41.267830972748854,38.307340735826344,36.08125791406484,32.287854613406644,31.307482201452704,26.687339234548254,28.25302261258702,25.00132853362936,27.082856032985074,27.667778861258043,30.18580868567411,30.469910907976228,26.78552944000031,24.90075583609767,22.809445601495316,25.03811019767327,24.515976835076,23.70115995594078,28.81367351224319,28.63232698786118,32.304032324800644,35.52207661555381,38.45719414311695,40.97359261243345,44.49569386078627,45.100351325861595,43.55167946395689,41.27799557046312,36.889407108815846,38.04688792873844,35.32500572014287,33.474640743790445,33.96228970415552,35.46215370982325,38.178862117640044,35.02043279134267,33.65004894431409,35.59398409923179,32.1223387122003,30.630382726068316,28.485552847316896,29.12543473228202,25.319942031101004,27.242648385962845,23.007197024732772,26.19295370636149,22.800341265535554,21.55019270894773,24.607852069049276,24.14599635852426,27.957528073738402,27.917899637964084,31.933404946830695,34.03591465555925,33.87586843804179,35.28699319056297,38.32160079806075,41.632422972713584,41.6643084685338,44.45405901455983,47.319803584635864,45.75754418417071,41.834999555426805,41.460112082775574,38.333060788005085,39.83643683318778,39.17806946507822,37.94301440766532,37.57827030951593,33.75785565149468,38.712038620049555,40.09355916708631,41.97602194939872,43.14409890107523,39.822931713213485,45.40725019715466,48.390453785033344,45.80526628751585,47.3419744391639,45.13202621732979,49.66265141963553,48.916056597234295,51.25266611406142,52.36048431004867,48.97027406472011,49.84435203135623,48.278506934554926,49.08538123728178,50.21497338049183,45.904008602042275,46.929023798542964,45.022801890007194,42.045190588664966,44.790322780697245,41.41526355025055,38.499687742298065,41.47212864263104,42.51002500161199,37.707664639549634,37.78812328069178,41.10403901715983,39.91010029921129,35.35130558334019,37.73592850796455,39.32624034222128,34.93708380250355,34.26444930404075,38.74524361733247,39.908348546915406,43.27049251599694,46.27977769370082,45.38104004087676,47.30573977968927,52.18095073552453,54.924382503150106,56.722963022761576,55.4517380071968,54.52573980134191,56.05416765841815,52.79209927488868,57.428317436865406,57.739164005441836,51.83128894539354,53.59768399411967,58.24017581802448,55.18666769986018,52.45616014068726,55.40795999397687,57.34970471463794,53.62773030992617,51.53638206960559,48.22357632426676,47.612786686426844,50.066658697907044,48.434473175922776,48.39496642083808,49.75322815909055,45.95792717923503,44.43627812106189,45.79676515691855,43.786766881976746,39.86693519531144,40.94730199295513,40.83687371023132,37.75854109379523,37.406000375922055,41.87965050259809,40.233797515678745,36.168444669336466,40.16175705314455,43.76482996658209,44.51249753325692,46.9533138370383,46.058687200147006,50.47325680184136,49.824118306362905,45.201584035333035,48.7262234811999,51.34327668441674,48.75025141382674,47.72085624690733,53.64522259458923,53.49971717589427,48.89758216199311,51.01694923006575,55.890634903807666,54.65897736063091,51.17399337632044,46.72240979266114,51.22383911315726,47.53514307414035,47.095319332207,42.08855273652147,40.73613366161637,35.87330041237077,37.38027598755039,39.22911100824646,42.87797789756471,42.50429265952591,42.7674466894087,37.803292501876186,39.39743715444292,34.53770817593779,33.23784164213814,34.098609494203735,35.31839037826939,31.918651391129824,30.078320499906383,31.756204082194678,30.07632617594246,25.975282899509512,26.933888940255457,29.277472354902297,26.92079409885714,26.789224644545808,27.014349573118405,28.87311891444356],[26.95346317098945,27.96123257127038,29.880067668155654,26.150903460564923,28.925345184206876,23.919913611458238,23.137807888876242,23.82497508542667,19.046825841139842,19.00291342906777,17.46690478013755,19.86647769240139,22.40933026217327,18.568325556447316,20.60377938103149,23.901591381663096,24.679086876583607,27.158278038844163,29.484078358056422,33.19274494243883,36.08836022737285,40.55387515586332,40.894760058169716,40.90184141406682,38.94674735528673,34.50305722185842,33.99423018090255,30.102765400291457,29.349653497585077,28.802743780513033,27.334396618944883,29.039680664919292,30.153760537962306,33.36557302202964,33.483416537441286,32.61655494144383,33.64760896223506,35.312974257550465,36.63567471046953,43.057064890370526,40.99726702031316,38.63954314079645,43.15187700000439,43.56606524504477,45.39000230415809,45.38351365569738,49.38417019584927,47.971016909101785,44.69113035091283,49.113255809780185,50.949990322676115,51.057923633198506,52.15058899939169,46.87104440116062,50.01586872187388,52.68980752497681,48.447463091341746,46.35097964561627,50.76484798903426,51.38854607167157,46.1935707543583,45.49497337078547,42.54947070393277,43.59321259335738,43.016564808229944,39.765767937302364,35.19371144955291,31.80923994434028,28.554925434067062,24.88224788677686,24.042083813919263,24.197338879566836,26.28883871975134,30.924335841582486,30.752955904822866,36.521642300880146,37.55148284887057,39.53085525957679,40.42019684836751,43.21829125864848,42.359498810579296,44.00269577082258,43.41589836233476,44.96229497294547,41.75440928709145,39.01843206971664,39.10522758780373,38.54137997279473,36.64103074656146,37.33885483825283,33.81939928637048,34.562442263190235,30.758125914575785,28.880809333494362,25.176516551817986,23.06799158415186,19.95811138766574,24.903315914539558,24.24414216598896,26.76018671673036,29.83357055912391,32.21901551818034,34.182329237922616,35.55915931844544,40.49844978433442,37.512991816558404,41.408776553337496,41.796135068591546,38.73011649125439,37.018766184754114,32.80265266264446,31.526878791765863,26.77839435786564,27.610431893661566,24.268815185865584,25.55068350967074,26.260180458520026,27.996218684594577,28.513131922730253,25.553233485005304,23.063823623861435,21.202533869261732,22.64233812936017,22.620304854289312,22.357816295491734,27.506568474887004,28.226330329650672,31.783526004508186,35.258215768750055,38.5335060495454,40.462056128139785,44.357288013043636,44.58116226690485,43.61521536550894,40.59953355317057,36.0677757878326,36.682143907570214,33.65779970430254,31.331984732463212,32.15391097505389,32.87273910830075,35.80906526471192,33.12149515598927,32.033948903285875,34.486361818865504,31.57183903767889,29.86519840910297,28.47469708952115,29.513178549003378,26.01366214218655,28.582116480203894,25.01369623175028,28.961906801441145,26.26285264423058,25.090802860836757,27.556910425317163,26.31216759487594,29.86058240267387,29.367996001720773,32.92105383153102,34.09959526987641,33.94101524177842,34.38371780951977,37.7963131951108,40.663465522574036,39.91198825036221,43.018648748573995,45.431219181458125,43.90089361537659,39.869756881322154,39.96545054152168,36.96073364877318,39.12151714245572,39.00942898765541,38.24672553766223,38.52214622343686,34.83627234510197,40.19617287491429,40.85711137556357,42.87278898479031,43.28980266231211,40.26060794027807,45.52911741783814,48.22204883157848,45.35129841880402,46.89517385877643,44.60375306889728,49.07133687191495,47.58211415279678,50.117402541551094,50.99450067862541,47.9181901384987,48.70119784756243,47.231567559079195,48.23990783597226,49.40856791023819,45.040059113093704,46.45382934037804,44.51153272701202,42.04072889910551,44.96773716848862,42.052827807657174,38.7459992149127,41.31878368635343,42.89448510975843,38.15280878846601,37.29457015141266,41.003802061422846,40.60835765537208,35.46556523477082,37.4921895166863,39.532520637314995,35.4060114484642,33.94223722543799,38.372856653839506,39.21130846897446,43.18098654519411,45.364482984791714,44.95308434437854,47.272397185536754,52.17900750910926,55.11176323483092,56.94341502834683,56.1199832335358,55.13023830153643,56.887745963348124,53.72678884112154,58.18962975728099,58.190204167140344,52.091617217374676,54.02476194646705,58.34062909407778,54.96774793409703,52.28212401117218,55.252206800101085,56.727596826357974,52.84466386198541,50.85737037060449,47.77085475666367,47.781001752466764,50.5025722400289,49.20380815725138,49.628301943418634,51.41481998150065,47.71714430425251,45.644400439967974,47.30272736771177,45.798474298783574,41.534784032370005,42.224636447349624,42.64768325067274,39.691200471902725,38.714247419712116,43.35636003114101,42.0788940812309,37.72433994680085,41.26418449604285,45.065831976113095,45.43365671174338,48.08901969390341,47.162126611613175,51.45249380807375,50.56145516697703,45.61143338866875,49.19254347228558,51.5398952936464,48.713663465765904,47.51443219667306,53.50736676504348,52.99263890650985,48.126363044084485,50.31383668541872,55.157633198018175,53.589925179607434,49.919690644376224,45.31329707816407,49.492297304521855,45.54375367607645,45.57001735761119,40.43686477075953,39.65507004569501,34.86359311098979,35.60984778956637,37.53792995348993,41.0006795010868,40.85451746137956,41.76010705291853,36.91290985515212,38.904244339801664,33.95195347447365,33.12996848125391,34.854648080624024,36.4575881919265,33.52609271258495,30.840623695383282,32.56991586153163,31.671886539258008,27.226658562349442,27.37309479173177,30.313810273153205,28.61121316029968,28.74056562436137,29.0913303837024,31.046082576827015],[31.481561926206332,32.54176242696537,34.390816420997915,30.651724752292584,33.16313247360845,28.144171531448603,27.032241334543684,27.36824123336966,22.48418248095866,21.961006221822903,19.852801598774214,22.036608544157716,24.59011734439782,20.680413705604423,21.768745084012043,25.179427503974093,26.248776860985107,28.027204318702214,30.1129178380157,33.94980743934158,36.52566989096242,40.947559106053475,41.338472813028545,41.51024766732972,39.91011564055766,35.44508855423655,35.34856582283719,31.67384663198446,30.69090340666663,30.272619632639692,27.750132216442143,30.107673408424247,30.637959762908757,33.45274131699012,34.110076759758584,33.37427417963552,34.93819044445664,36.58442558738465,38.17875693617903,44.54259746471605,42.51662680343809,39.61288393475446,44.012171460664376,44.63004146421017,46.25890863173703,46.50278880147003,50.457158945727734,49.06206720991135,46.20004985970263,50.77231593540363,52.38699181473507,52.703645553874594,53.49278860090655,48.30855960428991,51.242707033000805,53.611389819332906,49.27637514708263,47.12786281243878,51.336704660466566,51.84845821665736,46.51057430857681,45.42360471506248,42.39027959782425,43.121953417876576,42.93548934190439,39.97803528943233,35.1139527154993,31.88519681858483,28.518899068010832,24.82531794939139,23.883883936087162,23.307557030793358,25.47287796764981,30.164667735780398,30.305276995214253,35.6599936301853,37.33770398969056,39.14164338213191,40.51114170082291,43.61193723419936,43.176996844517774,45.21911531680243,44.9724776009134,46.7890575488392,43.58534254146538,40.6136634133586,40.18758380552729,39.54120689360772,37.167860785045995,37.42352740996549,33.66417448426157,33.757892762634086,30.111256009463705,28.555409495779468,25.401897690617766,22.812061051320423,20.401636861503185,25.665460489921458,25.645301055942692,28.401818802965426,31.343893978277368,34.42022376048151,36.142114435815905,38.143419306060444,43.159701642632214,40.572908279455476,44.638383795592524,45.253039301626856,42.425181720710604,40.49111604396418,36.478797156874876,34.87609943082275,30.174232426751196,30.81061039830268,27.010021556909795,28.250974067420678,28.345699484813935,30.06644550561957,29.677690425790473,26.792842664436677,24.59451106759676,23.269583483030797,25.243688011894946,25.673739170435866,25.8437029134083,31.013961027882516,32.06716739915681,35.428262897334015,38.94750807269338,41.91443725808247,44.15658688725309,47.9515666839575,47.99746737493284,46.80726985608269,43.91814374904694,39.39206970310141,40.37516781562488,37.04932027436523,34.54142017033103,34.996286093542714,35.37996337589247,37.865362160430585,34.998161909902365,34.26670189900657,36.49861038450662,33.56203273609672,32.22141091993177,30.93645673729839,32.28932976297314,28.995100772622667,31.730250271498154,28.035233667614243,31.76961588339741,29.017383661531323,27.330762186243692,29.832134185977793,28.64242521773605,32.49474015022621,31.631289885263023,35.70185527279146,36.88301665035427,36.143695958687275,36.89425590846792,40.00744451541961,43.19749672850827,42.64356075731322,45.98843634665323,48.453244675863054,47.22219190263237,43.12427279669698,43.231250663057196,40.026364004398964,41.929820747024806,41.640967387843865,40.61219499258509,40.83193773953692,36.845887750923865,42.03713424987102,42.849426414068915,45.080192159111505,45.701413333298696,43.0685171426013,48.37327150295492,51.0579127552569,48.144039532443095,49.24459232462137,46.62363086035366,51.05632864463051,49.66464786925595,52.49557576047966,53.61716232637705,50.62233473007025,51.74035524871617,50.48583352168008,51.65028600540933,53.03546227739096,48.80555266483864,50.32151283813775,48.57706161710805,46.00550587801847,49.081336748094344,46.0772807660862,42.81939076614764,45.5993440544032,47.153998893028756,42.40995444239001,41.72784936693679,45.44867196706176,44.928783877941186,39.916602503532246,42.027895659650746,44.01896715087387,39.834601074458114,38.5043419945356,42.94615917720787,43.81725296194518,47.72493875280013,49.97720656009297,49.50917991422509,51.79946305287595,56.68375757001764,59.611311512545235,61.411830557929314,60.461842611579016,59.417472665528024,61.061459771729915,57.78024224601887,62.24628299794348,62.406925404904854,56.30366420955637,58.08545179021712,62.48701310930894,59.21366423451633,56.4223031539463,59.268535419665696,60.91917473244482,57.094295213582534,54.8670779281486,51.927842995531066,51.67043784492284,54.41926678568685,53.199253495261964,53.424675585817255,55.19014545857236,51.332505234981646,49.47773881145726,51.23147111540087,49.5132107007418,45.316455407837346,46.26554218007686,46.58905429484193,43.59701810849483,42.854468816618734,47.486170638250826,46.105325448284766,41.85390605425579,45.54546026244359,49.29722005653275,49.758370963237105,52.32543828934036,51.33184142491784,55.65525107958287,54.902411401613584,49.98704488037021,53.48042022922719,55.94349742295168,53.177783407710756,51.902495052577116,57.89493264113383,57.49680586525597,52.619505294784545,54.69425229789996,59.59927843475013,58.10874091676774,54.42552931027354,49.838555474407414,54.02805641677145,50.08516601374944,50.18228342271921,45.03328469112372,44.22784561253901,39.43997027222791,40.18416659970657,42.05226644206426,45.481381550399654,45.24761460462068,46.14802805418536,41.19000849673501,42.99765566896363,37.981377037341865,37.35242247557613,38.803032189365396,40.439236626826776,37.26298181324651,34.84923790173701,36.77409785338107,35.6591559354599,31.16488910830918,31.698222813137782,34.56571525867964,32.65117775397751,32.67277561337277,32.93937680039558,34.79846187587987],[32.63672242086172,34.17395525276909,36.508390713388586,33.307248485974995,36.180172974154246,30.7505179155893,30.082145672011777,30.116972962524343,25.378891228850467,25.540529500360464,23.319444088234615,24.88979563518922,28.1878762392478,24.68433150922972,25.498192453329956,28.81597975903571,30.37157387416075,32.21770281026369,34.60781196163996,38.27910873478516,40.94644863341612,45.284637584341034,45.84138346874044,46.167188908085734,44.52034166042596,40.081983179652454,39.86334962876527,36.10057418754051,34.83006278022901,34.025080333544594,31.31209925885248,33.31301505163958,33.442197781734514,36.44112389145578,37.43209365592874,37.11990224296942,38.50257819398012,40.64463387170573,42.40124237590209,48.71096632702896,46.90872452803329,44.004362331824815,48.3675690088921,49.15388666181932,50.893827574471324,51.24233307040089,55.16989764316561,53.64289696978376,50.82635234003819,55.40219377388375,56.887640681552845,57.09600881356806,57.81236805603449,52.627148917950166,55.32443548543197,57.808819768783266,53.58025831998423,51.19435051163126,55.316393656666776,56.05291452049345,50.67695623223879,49.330822715464016,46.115529712637766,47.01362011501982,47.06317487743662,44.045252243050385,39.3267111404173,35.96314812063904,32.864698856532755,28.99510903158775,28.285989285882714,27.571678659138087,29.434830874171404,34.201187409102914,34.080773849251486,39.10654475594222,41.03125500615832,42.45495213396141,44.028437149148914,47.32024094707422,46.75961171141804,49.02734610693437,48.55728160853863,50.6075404821912,47.60099025364317,44.4604724227786,44.1216368554049,43.0678723767414,40.93247278180975,40.66001586545275,37.05505728718868,36.88068188538895,33.18051674307524,31.421518625271847,28.54964596820422,25.635753427237145,23.588380166342837,28.389717860493075,28.273382701081513,30.31638399032429,33.98264052672805,36.86792874179416,39.10459331287396,41.0125027904704,46.326102592577826,43.68730394767443,47.5961167485411,48.377280067605646,45.391680107983476,43.3367831648541,39.39032828213748,38.22137333214811,33.528434937953335,34.62049185987572,31.04916283520479,32.57544749469583,32.81824335231742,34.74081259399255,34.41072874016552,31.325947867693976,29.251899955545976,27.765080448048675,29.782568306236616,29.923748741300006,29.691524329013774,34.86980160194945,35.29800708261526,38.90497354283186,42.28171083914748,45.33445419915156,47.6134483066591,51.32940811505313,51.683098140182956,50.36955220045194,47.7229117611789,43.235166411037355,44.14230572412203,41.11073114606776,38.80968480760035,39.37020836823744,40.02472351799727,42.59850188770601,39.666136874231896,38.78992714172286,40.93301301115023,37.798976686284135,36.438760986781354,34.814094909218596,35.86388833923895,32.28896478425785,34.5415678309427,30.44881637869214,33.704760857056854,30.249861132048917,28.93189112984912,31.95794331362151,31.343731390916336,35.24250693824803,34.827103755284796,38.965187801401214,40.62899406288904,40.08990703913926,41.13276956368953,44.20700472946344,47.4720601793184,47.07258677113288,50.242637460637305,52.80141903016619,51.398239484106085,47.35536650350081,47.341344214840056,44.20016346890963,46.00728805915158,45.56885927881412,44.415695874219736,44.32661020626232,40.344487687151485,45.35453049249446,46.53335209119199,48.64105178175067,49.57796136141344,46.64029940988293,52.09657934516941,54.92313312213695,52.14245107567348,53.39908550693612,50.88451725765983,55.356322813345926,54.18482316667259,56.889544197041374,58.00456216015307,54.88025761558393,55.88422717667786,54.479808067127124,55.47649996989654,56.687580452738786,52.35366986685745,53.608467642969735,51.64700006966512,48.9309421971441,51.69217905273322,48.49405315192989,45.43424900213807,48.124415690526945,49.32453929578687,44.51990629357233,44.109246810659094,47.50915266617072,46.57114819070901,41.70095548427473,43.7790391361428,45.41351842001006,41.090676699518724,39.97374743763944,44.24948512530291,45.48394409469872,48.97970084297512,51.85260265594654,51.37832046885882,53.37078613903964,58.39772247240788,61.00547871642728,63.051997319568414,62.10701760317747,61.32662705426252,63.036475708663964,59.91131074729773,64.52616650941569,64.63754312983892,58.689362056001066,60.61691990225469,65.10828940790982,61.86093905374388,59.21775740810519,62.22716548106262,63.87031299427836,60.0268731921302,58.08940871233686,54.84620077834099,54.59586988131554,57.14650487346225,55.56908262729112,55.70623452283946,57.09612699976926,53.37986018493533,51.72240899415373,53.01694578811274,51.1240266308786,47.19428480331644,48.05370535861729,47.92338506378468,44.83067031379038,44.29181447570574,48.683546452834506,46.959177237611605,42.73258047466625,46.58115812609465,50.207614511358095,51.00129690789414,53.68490799505593,52.99528968351213,57.38351413459522,56.436489458323415,51.79741294691289,55.517904271630705,57.893986353010625,55.12632781873194,54.230185439068194,60.17850507676332,59.68072050898209,55.003230774089815,57.33678682697841,62.11019380874265,60.54527464863963,56.97681257861639,52.376583415571325,56.56387357360501,52.594525444928095,52.29587167086781,47.298391580613334,46.46512461039132,41.6164202410768,42.59426807187807,44.6972632667947,48.24963475164037,48.20180255563801,48.90964737590479,44.10808489554747,46.01108127014837,41.1104089368318,39.93581278945296,41.22794086043561,42.484249569881484,39.261427214149876,37.15746409884104,38.62551203307692,37.1313197683414,33.136538062735724,33.54056355290488,35.843329267920225,33.563790731512356,33.35974914371644,33.40740063959132,35.23874272094418],[28.62273022384541,30.235541137377773,32.81709798610629,29.653840604544953,32.959560881105276,27.612842099415847,27.39544556282035,27.836141958695844,23.249170070373157,23.884099585012518,22.213390496292064,23.99660935279793,27.252842075966683,23.752814563235983,25.41231472617166,28.667875999541543,29.890327972772802,32.307278616040506,34.78368526221951,38.434742552628904,41.322902555637796,45.7423223187574,46.184135012316325,46.29340305270846,44.39528315123236,39.952027979959226,39.452106973879175,35.53323892263449,34.549912187218666,33.71121554120281,31.898886451513636,33.41450234430627,34.079128718364565,37.40771900560669,37.91450375327392,37.42421929650447,38.3847133540533,40.455791578107004,41.93252524110455,48.314208389425204,46.408052076282374,43.97332983635555,48.45118875120117,48.99725948583871,50.83907691623003,50.90594431814468,54.894379494422466,53.43755143475979,50.224733527171885,54.66076802295689,56.42089376617147,56.481826488371695,57.50258003126275,52.228967485159664,55.18598576588478,57.90662849919323,53.716513391940246,51.444463339389785,55.76759649530664,56.52918602090841,51.270260908476864,50.30241307266115,47.19315280704512,48.280592156451874,47.96465176507201,44.734881000544135,40.16693985711051,36.72088598940902,33.58552691276308,29.773094192331254,29.030932334906154,28.832575556052998,30.81031812686003,35.54970131055765,35.301125196874985,40.74239657786439,42.13812201372339,43.78359620621881,44.94638123267584,47.96472230643651,47.06997049939195,48.953475265529576,48.212392802483656,49.97501562910422,46.924682404043416,44.03410241698547,44.13163260662905,43.220825498424844,41.4371514684032,41.61698636693804,38.1596830007036,38.53026612446155,34.69294596754923,32.700294707959884,29.329167864947685,26.804801808837873,24.136049918141406,28.762260105549885,28.09127828785996,29.91356515784217,33.72568353094957,35.962958075566114,38.42822858187619,39.72727126532648,44.948208749864534,41.89523950920979,45.61648442070338,46.12965199937569,42.87473703846008,41.0925060011304,36.91778606183182,36.11116165762339,31.38675154481067,32.626731185933906,29.505300605280027,30.972579594887733,31.763546460062933,33.576791801689836,34.025178349390835,30.98869663025242,28.60044598503962,26.72237210226985,28.167075366817404,27.977107164072805,27.393095313494367,32.50023615165992,32.62775617593149,36.42955757335506,39.75483832111722,43.15669612741594,45.040148145984425,48.884817176370454,49.40110239198138,48.376733689565235,45.54215211669283,41.05270382357121,41.50009374336449,38.770314550734064,36.59754861906474,37.55805251416293,38.385425606547535,41.38584943850917,38.69650331533338,37.55859686264067,39.95813294489064,36.91647692004955,35.21375994070136,33.568988262017356,34.348915498484956,30.59810958255243,32.67898250576596,28.70901436919101,32.14955789325723,28.65321163322877,27.9150719197124,30.957979503480487,30.308488138470608,33.9094103415168,33.847164699588745,37.46629211695864,39.072239728564114,39.07658433152606,39.73779164454729,43.12056298808423,46.028770251953226,45.33750443159395,48.3127535421987,50.74188279331488,49.04639373710048,45.07382927944216,45.119151305194464,42.209410568405765,44.338773642907434,44.12604250716936,43.26703784610464,43.27580319453123,39.58258107987514,44.77297421359302,45.76548293613027,47.68197511231291,48.36558969561825,45.07226835408836,50.458944355485045,53.26264455526013,50.50144340570128,52.17943509432474,49.96159367911852,54.4526743736972,53.092997580187,55.55099827669919,56.39959151071726,53.24751279839409,53.90840686776109,52.301230808236454,53.154333052201856,54.12961255484723,49.648405968181706,50.81369483513688,48.60860596033401,46.058209317813656,48.615240650684235,45.54453737478924,42.43165245307777,44.80859212077241,46.02298977025667,41.22799941083736,40.547841760274,43.89848282257912,43.109372953164296,38.05272624724179,39.95317309794831,41.6006959321808,37.346655616141554,36.00932370733052,40.18961803413019,41.45163321537201,44.988409302016045,47.82124350868281,47.512545683045445,49.51503273085553,54.60986762441104,57.155406476290544,59.317900952210586,58.5968793203661,57.93915136031007,59.82417386415517,56.886270933331055,61.49790383065406,61.37728198238763,55.449985828654775,57.59517736971872,61.9546534626428,58.55886574682766,56.074791305661066,59.2431240133526,60.61621974927435,56.68889566787437,55.08817214051014,51.678930985516146,51.8088643412407,54.32588903389731,52.64281415825462,53.035316200059526,54.422027675549515,50.918712605394106,49.00674256239617,50.13249402692233,48.49244992750102,44.51395458317668,45.0229128030042,44.94997355745763,41.883716617043056,41.0625725085541,45.41561933598504,43.753021304341644,39.370461513268,43.032622112420725,46.70672972060045,47.44137574306373,50.29344461284376,49.75998422976061,54.10575054169411,52.913356818104305,48.26799305673351,52.150158283172566,54.32580602196209,51.45398585967902,50.71817877242487,56.65234178787049,55.93171508899548,51.28255587664375,53.812501243135905,58.46642810433494,56.7318861186297,53.1816987759861,48.540325346293976,52.62473961352429,48.592618796185654,48.20334663321643,43.263571948530895,42.580275076813024,37.746008953194426,38.62953862217576,40.879786883173765,44.44299076301309,44.59240224589143,45.38278034530415,40.78577481383667,42.95989241318881,38.16220368669266,36.74000760961977,38.398508808793004,39.5737398536337,36.661396793132425,34.25339795154682,35.38895406752372,34.125470916027695,30.29412102693248,30.134022472068647,32.404318922308946,30.323897317881457,30.189507527349942,30.259783514082077,32.196018055705956],[25.070842337749937,26.925546319313636,29.702662506780353,27.14543126985739,30.55065594630475,24.853143718494966,25.06950036788421,25.28629509776754,21.01802768697529,22.48405138128364,21.037507163414467,22.339325464085825,26.123663067393,23.18371894261567,25.067024232941456,28.08737771863417,29.5671712425597,32.47364675287418,35.4628270936138,38.77260177442975,42.01164800103261,46.33821752934905,46.960576509368245,47.173373254669784,44.914072867343755,40.55973291524188,39.59348184995435,35.468200589927484,34.30630091757095,33.01357847329496,31.815108009911693,32.536979053804764,33.33646526285259,37.07982199544635,37.40236228702557,37.17449763732578,37.57594467532817,40.103639699171985,41.55786730783204,47.86041014407774,46.21087134029609,44.179275304593475,48.67085657026235,49.28050536722881,51.4375300066166,51.501327917391976,55.45717610278323,53.76350682160254,50.350667866231554,54.67487562488381,56.366265728614216,56.14196115931858,57.27168714595953,51.956210792187946,54.78292374035736,57.8498691955575,53.87434464002362,51.38763694171306,55.77225009097106,56.872071484353654,51.71056742965198,50.816594734970785,47.62034542779922,49.1673471315295,48.73147999488356,45.18228543202821,41.057123077080924,37.3411597234102,34.62446992463383,30.65299285381042,30.273145290863198,30.586764873529887,32.132822678056485,36.89352491261956,36.086899294765175,41.5990183559381,42.60563988327353,44.07422149389299,44.976379844789726,47.8903922445818,46.548969589552016,48.32193253972161,47.14177650121773,48.92550864092777,46.09364390769878,43.2129873436331,43.75400847615776,42.54273011915962,41.3475790427951,41.44529145203563,38.33837221779992,39.075953271846195,35.07598995686939,32.67645456544155,29.10399468816138,26.771926260020763,23.88073235961218,27.835502614300232,26.648202495244895,27.778154170671186,32.10569901866825,33.71109218648452,36.67686760353243,37.50755022323325,42.8695468427625,39.6089313111943,43.08862996896791,43.66072349944139,40.23527332581973,38.42662810532679,34.30335285944059,34.00658577136339,29.368148771184647,31.135791307454788,28.512787394613646,30.344831206121263,31.558540834935297,33.69470081478545,34.70655374991381,31.343056839608675,29.023549306499195,26.689587264573834,28.03255489802609,27.263074141028355,26.05442702766446,31.033872228172484,30.37530083205201,34.39640979038475,37.510796902097866,41.02165708783545,42.871492433699,46.6041518685335,47.48263471555342,46.390731762998456,43.82045764852209,39.43199423520983,39.776748005894454,37.50305586585889,35.73154029911451,36.85227608325233,38.28670979278242,41.52716087990953,38.79364367428097,37.26645420217985,39.59676194042833,36.35443718717887,34.4726166664765,32.41909354419602,32.725769656882164,28.693504428274437,30.232575486513525,26.087131088436198,29.234751253024623,25.373577369105714,25.205541883332234,28.513490400605892,28.260007887370033,31.651133326138154,32.164829027977554,35.49959116322305,37.54100082544155,38.042117846586024,38.88417060891169,42.31373976878278,45.135281953071654,44.63543783592652,47.242425036909665,49.8167358948726,47.848809335563566,44.01262400254355,43.83337697435471,41.07069598319689,43.10552820860835,42.79176461456878,41.944676255467876,41.692255155166656,38.22563698526514,43.311338861896495,44.51819157906297,46.17443735890551,47.04028077954172,43.28106117060443,48.75157037853367,51.68697521606112,49.11689641356494,51.16224025443938,49.26662949812537,53.79159138399412,52.69478427062986,54.80985803505706,55.55407858089147,52.20338322828157,52.610029565377154,50.771216298547,51.377660905569286,52.11886300467095,47.55176739247379,48.40907709472417,46.01620272819895,43.326485188692935,45.59067844568455,42.37897656498723,39.452170481984346,41.77450035431453,42.68896721735953,37.87934310613948,37.508989908952366,40.583141236747025,39.463351483430095,34.590897067131316,36.54942343141679,37.94736831048165,33.60305023791565,32.5466920895125,36.685015809880355,38.153718928497035,41.369086320434874,44.649893508100384,44.17850510219705,45.95978918629336,51.08617598156716,53.4778925088651,55.70756333576812,54.90963167680135,54.38836652877564,56.28775694748774,53.45685270549098,58.156492120406774,58.015886955148815,52.22403226622175,54.456734646635326,58.883804635919134,55.55231060459316,53.18124290243694,56.470911487297805,57.88387447119918,53.98499068474962,52.613208900818556,48.9339718648997,49.037378643367646,51.36467087239512,49.402654798289674,49.75792159305095,50.896480853098474,47.541845401823,45.716587146354115,46.519808620079715,44.82898369557999,41.015138376338875,41.42328163946817,41.102304414113334,38.00200007893134,37.27964452339924,41.49398500877004,39.68427214684759,35.337113006532164,39.08724001863146,42.6869824458586,43.582140017477634,46.44936937289853,46.06713118835507,50.43955870390293,49.18124827379013,44.72134700346155,48.70174744509164,50.862382419684764,48.042788512460135,47.53782377311758,53.414290594539686,52.72928340656187,48.261386853442616,50.90915177168943,55.47941978006522,53.811513391649896,50.38863752667996,45.812249510283415,50.01362901702727,46.100301605257194,45.356296228212216,40.53828489399337,39.621563394181145,34.761219664565445,36.03448091604138,38.346708643393875,42.02899448530336,42.196891172695196,42.66784058919824,38.18568600773807,40.360475522313635,35.72598503657719,33.81107033633755,35.30594685820848,36.18343865787513,33.316248026078426,31.110873526723637,31.89977800663808,30.413267663163133,26.963541618183708,26.723764445160196,28.61310953805238,26.35369833245572,26.142564916634324,26.171087838070545,28.161761044048674],[24.13722128412089,25.701211069588716,28.49284659401768,25.213149867129502,29.036861856958375,24.017272188293237,24.323965997271088,25.42291062400381,21.13375470795638,22.180907614670858,21.328665069099788,23.462689240630457,26.346858845066645,22.864213787082704,25.531333881510026,28.63210481211577,29.298121113644797,32.285303400031005,34.706270485531434,38.31745380965636,41.37097799623663,45.84521264697426,46.10088539463432,45.91337205925804,43.7784111969516,39.385633242607426,38.61428730523995,34.6127264381386,34.07313345672506,33.32596617167971,32.603788017539294,33.652311431495676,34.98432697983959,38.55078058900372,38.44998125809045,37.65992230902414,38.18515235901755,40.00016506454884,41.084280229747165,47.48724181990447,45.41218594364224,43.5432883855237,48.10672653798429,48.319743551250276,50.21542264184298,49.92175549187833,53.95273620074256,52.640467404239374,48.98815750928661,53.21713891943098,55.32773957844418,55.25519764924303,56.641462725748646,51.31345308219147,54.613690721855654,57.54039865730361,53.39320218099524,51.34343623400131,55.873595336576834,56.58618398205135,51.51222854806639,51.03451590389575,48.121484929248965,49.34182373886473,48.57961429856365,45.18368633945858,40.79410408388423,37.361744263835526,34.1705219520675,30.5681517199646,29.742082392390053,30.108824530320053,32.24091295736678,36.82862772441675,36.5330890699727,42.39281287535673,43.16810293178049,45.1250151972216,45.79310800465049,48.433638990893485,47.22152327399156,48.5936460989003,47.61836946840374,48.963553531563356,45.83503915309356,43.32006201730652,43.88621141135091,43.26166993735081,41.8206218279845,42.622238377406646,39.328656926140276,40.31190038497431,36.415828192797754,34.279029876185376,30.408079038805255,28.430925270929606,25.133881406277386,29.53288332787957,28.298339073507595,30.004516210071206,33.70447111970727,35.20073008479001,37.753629412582605,38.33459921095024,43.292931069374426,39.77872144418929,43.27262481957323,43.390177325015195,39.86010945156547,38.48855134168629,34.040036979233854,33.59139774022967,28.899465827103892,30.169515775419555,27.634658416812456,28.89459613266579,30.31886279036905,31.8799148789619,33.24321649184078,30.40853214350396,27.672849893020736,25.42710328527548,26.061257537155615,25.531829968016826,24.610360007328513,29.516447339086053,29.43246484490399,33.37368079909844,36.63966635867256,40.44258497567703,41.77812981011913,45.79209044629277,46.41770250900517,45.80994908040866,42.68001039253351,38.21766195978757,38.06681131442134,35.67051960169143,33.62065835842377,35.06778388295615,36.00244319797742,39.472028541583896,37.150977815909485,35.76104564919051,38.469987396698514,35.654133845583154,33.56850363364813,32.03682468213802,32.554948008157496,28.739585551078633,30.697451946167767,27.090609973646625,30.819091700017644,27.546394718574437,27.433381125000725,30.275465616464654,29.443642504773212,32.58964871317707,32.83182862597645,35.73169143767455,37.09693053568879,37.71027544733775,37.80028873500016,41.53084304454767,43.94531636244837,42.837011997749016,45.600157926849164,47.80911982415186,45.80509240869615,41.93299230651445,42.10227487155294,39.501238059565104,42.054868206189404,42.173948881522165,41.722779842350285,41.93984891746035,38.63906035598642,44.02100584423633,44.68054170755178,46.38683362103186,46.66755513100004,43.06451721536486,48.269876197978874,50.98019455689942,48.22154702155256,50.35191549267769,48.47490688540578,52.93760262957417,51.28993296659999,53.47344403198602,53.99129977563845,50.8724785557965,51.13631100542425,49.33084124285736,50.05053895314989,50.77053080793622,46.15098488965334,47.277162109598855,44.82579805789419,42.558568889345516,44.92634597402346,42.103183660114674,38.877367229485856,40.83752246110393,42.17782825777718,37.4402992707182,36.293365174914435,39.66449112482351,39.218594607527756,33.87678765554097,35.51868426085827,37.29308699320074,33.20084593842066,31.469443695333897,35.54683594107878,36.731157863411646,40.45426304789225,43.02723372355931,42.96391534370204,45.06987321842352,50.207862192294506,52.756935914167244,55.00514549693213,54.58601107155373,54.01506013388302,56.10670193423086,53.376546285193164,57.92439319264817,57.515938657849475,51.58716497779369,53.9676018103943,58.112421876143365,54.52165569167472,52.21131019915837,55.52799308589358,56.54084922288966,52.51566531729037,51.27952995198602,47.758067100320304,48.39192500504178,50.91399953709094,49.20848469432429,49.95599370887668,51.439862183754855,48.187466066477306,45.90351446831828,46.93786900057201,45.68520699516688,41.597032453867705,41.66544677198501,41.80246712330245,38.82389529410342,37.56776598977442,41.91089599327857,40.44177132862448,35.87118737426781,39.2037222546238,42.962434802497455,43.51530244418369,46.5508304603615,46.140155395483504,50.39260504043136,48.93242129738507,44.21085961130184,48.23139863868964,50.15452080968273,47.146555837928155,46.516691301571115,52.43123794832667,51.43423524274736,46.768394007661776,49.484871814893616,54.00681431283251,52.06104937330718,48.50149733162801,43.80974385791167,47.737724119685815,43.619253653225385,43.23413636337093,38.33165839838221,37.890444573735806,33.108269540579926,33.75770436508662,36.14974019566365,39.67773425995361,40.05605724513615,41.03274066447475,36.695285026422155,39.20714019147867,34.549196222468744,32.96987900745243,35.172836941077556,36.343478776095246,33.89203887766436,31.00439359797313,31.804300398512154,30.992584036480565,27.289450324212805,26.35699044281466,28.738210524438593,27.07898533313989,27.11612199363059,27.277328052358836,29.328891597316698],[20.471799213805298,22.72839380308338,26.173526614713232,24.126550920310095,28.33226713581806,22.8747881612676,24.109442203881766,24.860668561237517,21.292170795710955,23.622733961525842,23.067721647006792,24.34955389440311,28.00018798210488,25.39963909896548,28.12921552097673,30.87404409469291,31.975126027972205,35.46532963975605,38.5051564727957,41.664087367554075,45.10237290205241,49.42166840229109,49.92532725448342,49.89743480950749,47.36638664697515,43.11418361675978,41.7976798756276,37.58567785552023,36.764054131652486,35.3856964450215,35.28743069137642,35.31763567905549,36.642071877628894,40.693176117214215,40.50729742527949,40.16815155198555,39.983295335082765,42.46949961368918,43.561221245552005,49.79555117504793,48.10375160166171,46.719513403060155,51.256218568483185,51.58655533065768,53.85821826025838,53.583202078782904,57.548992265797594,55.9435654989142,52.083201399010115,56.14652557044327,58.144330112094956,57.698780689741,59.19785835414093,53.85137695548778,56.91134900635032,60.27038522824492,56.4259373316603,54.06859700171837,58.618658309189435,59.78703971295601,54.83350285764712,54.351580748747296,51.29165341699879,53.06205287429608,52.25745346136146,48.51113256737554,44.66694389317392,40.92592146533763,38.2821785049912,34.479011164118965,34.101126432132695,34.88793255784516,36.484994635233086,41.10884247963393,40.157853722772586,45.93908270613947,46.39479594710278,48.011415602857795,48.4640945247697,51.03784347380628,49.27603875535966,50.577205492096056,49.000816496986374,50.42271871345275,47.649366613483664,45.1287845594142,46.24912869900893,45.146270932153676,44.47451864422266,44.990959462601516,42.160705133097366,43.42369062873928,39.364658001235696,36.749542279692406,32.82331581258501,30.95583394579525,27.63376466758025,31.05447564181806,29.218727377927653,29.767481204765073,34.2848372123216,34.847300495698136,38.190309471147486,38.07690094213984,43.23724265271563,39.42756809995026,42.457356355876506,42.658449579864445,38.82750141015037,37.46530215121183,33.14194773339993,33.62369893599319,29.16512734408742,31.248440405919226,29.520136213469414,31.258288018092315,33.210795401384075,35.15806011086773,37.144913555907905,33.935778532941086,31.364510246900608,28.631866842087746,29.131148978787856,27.839465975882657,26.02361223599137,30.590279557974792,29.2032695524222,33.46994685370272,36.326339515387104,40.3167976623485,41.50819817559835,45.3253774437043,46.560200371192735,45.88823607953559,43.18488882792965,38.933565144924934,38.5214936945535,36.91282062506167,35.4838513357164,37.1908253075567,38.91263297076329,42.670244531520446,40.32970244287996,38.459284153310726,41.03844001811003,37.97472408926335,35.69039015209884,33.59348078833847,33.39480069419125,29.209300634091313,30.207596783025977,26.356565120389476,29.413213489659675,25.45012455857086,26.36897304920256,29.665769713496,29.573492746799147,32.35236964950869,33.51120437626262,35.96422057367754,38.01178289662977,39.33939666531143,39.707032796507185,43.454765051761136,45.724253916271934,44.866842259412834,47.06765603046217,49.429981463121294,47.00314531072625,43.38365349254902,43.251506500896355,40.93575567580524,43.35466495695993,43.32744963388745,42.88576165151848,42.68038159591359,39.7293203301016,44.857746496457274,45.888238769127575,47.19799592770785,47.785118043701424,43.498311363869405,48.78869224592171,51.68174743480105,49.23712957090901,51.89985192752095,50.4890526079763,54.968431592197796,53.69629146512425,55.38946360079326,55.738454704619905,52.364261046693,52.2210107039058,50.058178160917016,50.37196746726542,50.66761718675096,45.91180149698892,46.50028609869789,43.66626974520775,41.239993638140824,42.980065053496645,39.95914558321651,37.102454965541256,38.7965121999176,39.548807617466686,34.82782905413323,34.13096265082903,36.89087271152463,35.84539799733195,30.809802398824218,32.38736708528936,33.59511554117805,29.37785221630108,28.051000294288734,31.855434554971044,33.55362038214324,36.58166172829246,40.082201162934915,39.89415787737964,41.52391768960435,46.78817560199053,48.90386896343073,51.43142202998386,51.01744030731661,50.82437521536391,53.02511622265256,50.60282727947615,55.30622006229406,54.76749548710113,49.14251535998502,51.767123048763935,55.967094611990234,52.443005382504296,50.42488506894944,53.99837059395938,54.957751146257905,50.96242167887131,50.27845389651686,46.25477722592634,46.977058909445496,49.127858104644446,46.871430900465164,47.60308035148571,48.56090138858353,45.67158233272537,43.543710221166435,43.84950301545622,42.54078750801579,38.843059206075345,38.59757493231827,38.17327203717764,35.1397368654693,34.02331541992115,37.97103498888419,36.139017746919684,31.598571982261728,35.01593602026078,38.592132869517336,39.53120876845895,42.714551382135234,42.749421071292524,47.02121766639485,45.26912824020921,40.98304299188132,45.293288636402124,47.04891416543135,44.08279512803964,44.03609777634308,49.797510863884135,48.70190914588502,44.426515790914166,47.4892184852241,51.751012176402746,49.78854689872103,46.487356148673236,41.896645915398985,45.87942150007737,41.90230791649538,40.80663851237882,36.233191284154216,35.56551035159,30.79619329463938,32.019046280636694,34.65736222635746,38.34902105785407,38.9328798589507,39.43078767433944,35.47404063112863,38.09004500185879,33.819091070011225,31.284030943541243,33.286662291631174,33.81761851008276,31.568416493400253,29.061184371916443,28.988418267327948,27.786196863479564,25.05846801536741,23.694870384049526,25.123185190429048,23.135433352417802,22.953891610729425,22.908935866204967,25.02739053928979],[17.579768415826695,20.067924933526207,23.89442126682333,22.25266005712006,26.86906578001039,21.68561491467808,23.53251565678343,24.58861694979124,21.56604944907498,24.33241418240295,24.299967267890803,25.53457918942944,29.01902051654236,26.688617606459083,29.82930657663672,32.36584621694613,33.24452782818204,37.03395213066698,40.10055051426393,43.12040321621267,46.66423622397464,50.94208928865454,51.38899544213793,51.2382165726588,48.54341282826695,44.39160220355325,42.85685881111851,38.62857973764412,37.99755957868469,36.57206625807558,37.121402701537114,36.74455523841915,38.370931495762804,42.56435003229963,42.072302972379454,41.671457817114586,41.13660149638923,43.58411399927233,44.457367846714625,50.598259397968214,48.9067800924599,47.92718467642356,52.45780353819571,52.63358688400335,54.98064034691583,54.51972287478316,58.46382650655241,56.896202183271654,52.79267969928859,56.674974031954314,58.8301391910676,58.23977286631449,59.95074710335053,54.613496040779644,57.78515113500385,61.31274822931894,57.57579242477098,55.29379765690991,59.921276795114636,61.140118043766826,56.33544324484978,56.10056358382894,53.133197125026655,55.04681995807014,54.02470450660232,50.16879989922905,46.53644180466238,42.79360888645677,40.2413179215748,36.55913286310492,36.21342047905146,37.286419562177336,38.86191152888392,43.37537908741681,42.317811560291354,48.22375834392453,48.335359007784994,50.02900161518092,50.20286151311637,52.55493959049973,50.546179030042424,51.55457903938839,49.7473035278423,50.94524520292143,48.233036491798764,45.94336831810136,47.405771944937435,46.37106256156376,46.02305708655564,46.78703423077484,44.143480773787154,45.721227345989554,41.65050947763277,38.92758554516347,34.82810367745106,33.25263245525168,29.726706978432645,32.79997827813115,30.62392427689175,30.86111991336416,35.38606193428315,35.33186665958215,38.83835057184352,38.16247040608378,43.139087785306266,39.03669849315364,41.76418225615031,41.73612679583639,37.697639771694774,36.62507872575575,32.23719664751188,33.188428594204154,28.923581548817154,31.17034977989111,30.01765664102737,31.693089276552882,34.050703556518954,35.89400270067114,38.428627940515945,35.31856038120591,32.6607829174575,29.73102612671897,29.758394902270528,28.157026663705683,25.996188580321515,30.20405795108718,28.369393206641018,32.714426936541926,35.367478602063905,39.600020267747176,40.3860428713278,44.21454371978295,45.66109814496649,45.2408018781783,42.493205592404856,38.374153549275896,37.520905062239855,36.353299416748655,35.17683233647421,37.200067821454205,39.117806927029356,43.13582014787853,41.032610253387695,38.96230773520543,41.642972059624974,38.70340731782478,36.21241468790152,34.10341852548285,33.59945440349734,29.39777084059676,30.053838450277144,26.47817308753104,29.438178849326654,25.556023166749828,27.07190223620012,30.259348728525115,30.23901966380304,32.60093683523701,34.11684854335539,36.00660606198483,38.03512035924191,39.844986194910405,39.94451939743937,43.835508251071225,45.76122580171595,44.725547549040726,46.646213958638164,48.88156717918343,46.192609364022836,42.74195513539484,42.61839091185516,40.593862125963895,43.200146887913164,43.33507148749167,43.135982082822174,42.9583345839779,40.347077866666844,45.454130555481186,46.36724902571798,47.4571246938174,47.875355370543836,43.30446733153837,48.44320170143708,51.293466258789756,48.947823847229174,51.966153495996736,50.862020573318894,55.28521361307694,53.93861547161432,55.35644447697989,55.473087463295485,52.09269709707523,51.62069417860126,49.2729506140461,49.401707438687225,49.42614558575668,44.59138681315344,45.00449203266862,41.92470580580185,39.674174538473544,41.082153296608375,38.20540806080485,35.4155575331137,36.70894906169246,37.36004566361322,32.73647251228761,31.842854668131004,34.384910723652325,33.40773397687889,28.306410393250626,29.63182337487292,30.723509923227112,26.625815423101752,25.13143614605444,28.705731402965284,30.528416642855326,33.43734167186772,37.04752778395282,37.01833717217368,38.557438126433865,43.88003527450486,45.84699216666207,48.52470407205181,48.33848183214679,48.32907141668908,50.699379754819965,48.526717360724945,53.206410169608986,52.43396105093897,46.927178103249865,49.77114988510697,53.81742715708149,50.19470033029513,48.39361634751218,52.11853089006694,52.81029069811217,48.7780956440472,48.5056892382901,44.295474633392075,45.381407269659015,47.41419111900016,45.0015796050858,45.96323294727599,46.82461712298873,44.23210046229243,41.92168192587195,41.942732910695014,40.89421037028748,37.27936965060353,36.63017823410282,36.17793234210613,33.22212050370612,31.845012285615923,35.610994315941156,33.81070497799753,29.17749065668966,32.33899448266096,35.89246586683255,36.82572526304923,40.181725834191404,40.454073941326726,44.63883697369667,42.60432306745868,38.42975694191773,42.91011092929348,44.417573545222446,41.3770889733609,41.59798914864893,47.265198927531266,45.938700941751996,41.79515333903262,45.08587231708452,49.15063037650479,47.03187402234936,43.81950783622484,39.248439074045926,43.09864339131958,39.118981867105184,37.800556460409034,33.397627601409454,32.86037536812452,28.18517669594128,29.396042655550282,32.207465096218016,35.88556832616835,36.706186025230565,37.19370229775152,33.59256900557463,36.446262731684556,32.45252915645758,29.556226058067217,31.85408822639743,32.173710689833925,30.352418047095753,27.67821148484281,27.065511501627427,26.09511667136686,23.868394541666103,21.79316206259003,22.90951264481709,21.193380791872492,21.069878554347305,21.01125344373455,23.177006776701443],[20.80902202073149,23.542970587109412,27.875220164639767,26.4048895666312,31.608745613473708,27.079863647126587,29.308136507167283,30.74445062558144,27.910907202476118,30.569159881052286,30.673706177726913,32.08777792188147,35.3915477906185,32.82843542806958,36.10337556582395,38.73572114011897,39.38323740319089,43.09974702842992,45.84431516476784,49.08181214813213,52.46608990390721,56.8380336536988,57.08104131170115,56.7068965591634,54.17090662550802,49.98163255577495,48.64021184985441,44.50738227336104,44.14602141272051,42.93469142423915,43.43070838280928,43.258136162621994,44.876468519171375,49.00312912986741,48.54175340183561,48.01273899235339,47.581605913902315,49.795879558647556,50.529341445343455,56.70469167746513,54.80665849748776,53.8569014056279,58.41535795988089,58.39548758862906,60.54299184633905,59.86231960629646,63.849947719531,62.556112628185076,58.33393694457793,62.13593948053365,64.5621019319812,64.05386097115453,65.90595188902738,60.5760306653887,63.95723166522601,67.40747922904812,63.577033423127794,61.49041111063141,66.15553119715702,67.18410091929076,62.38245458377547,62.237729748467224,59.340381956495165,61.033646423821885,59.98016306011323,56.258005012059165,52.3868086279071,48.79618608077986,45.94293561000324,42.38406096833649,41.76752936232645,42.58099385573982,44.52069931636525,49.036956029542914,48.315313586209705,54.25522622865139,54.51592207970137,56.31827740585994,56.559626554381815,58.90368609593258,56.98568042205668,57.899330155941655,56.144072985079056,57.18486809259468,54.38392235165082,52.24631203387451,53.69602892675126,52.831312852469694,52.34400839089331,53.20773325827113,50.43470756504681,51.8755653780005,47.83529901796546,45.227983237747175,41.17311246272484,39.477405785377776,36.00782149101544,39.299548068309704,37.19472292989205,37.40808586641595,41.972938834223825,41.818407646289444,45.34554824871242,44.481506782484765,49.30574305683283,45.028929536836884,47.54926112302623,47.255255089487456,43.05076872676489,42.317696608645626,37.85271086561098,39.04209665952723,34.88324941931263,36.962346809739444,35.96682632251937,37.311642851889104,39.765536210696034,41.216834789577206,43.850479645662105,41.074842386453255,38.208984213064674,35.42237997338012,35.04569633062713,33.62693584623716,31.609275561644825,35.6038580799605,33.85226214992102,38.15743923749059,40.71311378656116,45.1867029069642,45.46188801292595,49.39033227470742,50.882245079480825,50.83468148752001,47.83449900854774,43.783056679409526,42.378056926793434,41.405890447150185,40.1474532406135,42.48635356687437,44.03074863413911,48.21910660747313,46.44240876349695,44.48886418763663,47.38982739276191,44.69473492878677,42.109969539617325,40.24651440954172,39.769285507287414,35.651172869624276,36.27008021094679,32.875525236736884,35.7486565175441,31.77680079143952,33.54007177624244,36.770744917842215,36.77481431477568,39.01090489211652,40.57126074497383,42.22492415990912,44.03504241103334,45.984078407576106,45.6921275877727,49.74321101612066,51.37494470616244,49.903144938019544,51.81257682548227,53.71375848540485,50.8698855033994,47.51589304437105,47.64843618666575,45.88258379531225,48.84144641316425,49.23429374784368,49.25814655046368,49.22985648145187,46.735389061351825,51.890996970161595,52.65312159286901,53.70268805049816,53.882977927520386,49.27526897825006,54.22906477693691,56.95600836918275,54.58221927484001,57.760392333051975,56.73631298578709,61.10667344945701,59.425797452153,60.819436621532915,60.71041014898803,57.48792101846285,56.77529482074149,54.350949481810964,54.414632244575294,54.20525933363053,49.307231242714295,49.67984039286499,46.329150837540745,44.46400595660231,45.486673033398965,42.91014908568943,40.17550434453964,40.823498331126736,41.417105792509545,37.02805432375127,35.627703800532146,37.85589394626522,37.11081334745164,31.955500804535838,32.66442317074136,33.52263737218709,29.821897306414595,27.88375848927668,30.703688128131326,32.73904872819295,35.38054020148536,39.0024188960189,39.56871227520045,40.93199492230342,46.33258089934725,47.847006606556896,50.94199691073927,51.32058291106577,51.71269681198838,54.3930512411567,52.676088126467796,57.272168285277985,56.08086203997501,50.806370246090175,53.9933710044429,57.71078379955948,53.88287555506475,52.449570844321734,56.35958295037331,56.5059211953802,52.38998688123496,52.74543483436804,48.40958117758504,50.124415426143,52.04784850449463,49.48934426437004,50.77417094736653,51.4692273125706,49.28740500776521,46.78983796911873,46.38938012063263,45.654310657557524,42.247832406897,41.06832538889946,40.47647814091663,37.65365071228123,35.99881190928145,39.309154015040136,37.44581567662077,32.80873257517109,35.46923287380844,38.82659873991076,39.85698310672271,43.529912781597595,44.29573801540239,48.27526687318221,45.680541707681826,41.812613867996326,46.56509706574401,47.53547757777299,44.340561578579056,45.054492364775484,50.491500378149375,48.59401932546165,44.68968627700163,48.399684909580294,52.03665277757431,49.46175535157861,46.380887616801026,41.81827631760598,45.1076246075495,40.95426936724814,39.45162797928249,35.46924354615634,35.603537088644096,31.262618324901865,31.932676064781344,35.094157679088205,38.55563388947778,39.942439573682215,40.75893134088326,37.78197752735255,41.03796774261245,37.365486637295135,34.28207227670247,37.032293678234275,37.13192534308165,35.8103671797392,32.97444207179898,31.74597058612931,31.063390631264465,29.44955727085088,26.602946194056663,27.247853385638543,25.826942995276294,25.61539432825713,25.295357541890088,27.203287019512253],[16.45685060511703,19.539027745328255,23.952484837724324,23.47968745567663,28.402931279378034,23.517484274755866,26.120045408967506,27.123143870246594,24.89416570972492,28.24460587447744,28.519994099926098,29.334110295334412,32.97594560071557,31.138110644860866,34.3535546480613,36.64009567491968,37.59193642037648,41.61206684581273,44.85959674785612,47.648173633885605,51.33604187608475,55.516328366117214,56.019069699028876,55.860633488633226,52.98260839693287,48.95549128964311,47.15747752667758,42.901400243847746,42.25935029575618,40.58663345232298,41.5890960975304,40.66154223170481,42.33432561283873,46.729225284925285,46.12491162464144,45.9086628520996,44.948818437405954,47.637035160250306,48.40627533375826,54.36769085090811,52.84502771486512,52.24733283607102,56.72878013637956,56.87233832747257,59.368270230653195,58.813510703764535,62.70158844347421,61.069175444742044,56.78964465528763,60.477479032832946,62.66947481058161,61.85710181562488,63.716499110840516,58.41710607177996,61.51740559533326,65.28334535585896,61.74292230124556,59.38593027237201,64.02103120297853,65.44333710239579,60.773443285305675,60.62865111285139,57.64849574269947,59.813994940941036,58.710650100039715,54.707760116100005,51.370021507688705,47.54606732052136,45.222596401170485,41.5427662201296,41.340377794162414,42.58712307778732,44.00147416192857,48.47514107557396,47.17505320014582,53.036170318629445,52.93635914017549,54.49240300027746,54.4957263253145,56.728398452811234,54.40105772338333,55.2505630226967,53.080993999562324,54.19787542862983,51.711244912261115,49.55515241415415,51.3878223627025,50.17665972309378,50.28756784668016,50.990498794715116,48.62716677165436,50.3750053911691,46.26941665133532,43.35129159670629,39.25807308717961,37.80397596936366,34.3048512054685,36.813656339868,34.32376232078288,33.84906700867528,38.69558492054508,37.909903043827924,41.830683064250124,40.54821564206577,45.43584199619171,41.101111884836655,43.3303362655979,43.20142604710004,38.94790034970862,38.10456710900088,33.87928056154524,35.58019188494075,31.684855761626167,34.30403713608427,33.80965081536071,35.575802339568526,38.269029360383925,40.140427067650585,43.099251973722794,39.961857366591445,37.348161807669925,34.24435448890879,33.99514291950698,32.04376849846851,29.46131261989625,33.17199424714801,30.548171281257034,34.94229063242885,37.179067099878495,41.56684464494451,41.97419193886819,45.63787376665869,47.51332737162029,47.244679207730606,44.71625441672495,40.864948806665545,39.59187398586515,39.09562017001252,38.3418008267531,40.6311253536178,42.88386207390414,47.10461711497364,45.16570883131729,42.858606891624675,45.51334585858493,42.59154021612618,39.9647457223875,37.67093060384118,36.717141266968454,32.46576203969585,32.43999800323276,29.016463508284097,31.397396793698373,27.277992603576518,29.603592828003354,32.895061778750296,33.31321354662296,35.22882934387514,37.329439821185716,38.68525726678832,40.98409333327073,43.32604279738218,43.3924247497476,47.311215767317066,48.95270215567867,47.90425539016996,49.39459862012304,51.56005558304618,48.54513637797124,45.3738456517262,45.14989815749409,43.48120313275733,46.11414123834049,46.28213190929329,46.2243819849688,45.862433297194094,43.62676191031398,48.512420380166965,49.54174694282366,50.31598007617955,50.78640296754553,45.79893022647721,50.80504690975089,53.676151106787295,51.56763587604955,55.00239281655002,54.28318454118928,58.638965679738355,57.40410626953728,58.44715056627817,58.33729951971185,54.88821045543016,54.021519534834496,51.4165532413816,51.224022617358216,50.83744380245354,45.95317262343684,45.95196296787972,42.52170392119151,40.383994928448054,41.11926612460675,38.30868352666818,35.87568817664818,36.62263993524308,36.7943274301936,32.40459787994882,31.63164645966568,33.48838315140616,32.188424774345165,27.420975691577446,28.363064771623357,28.86219150973903,24.955268356182856,23.63075064921268,26.536678186028784,28.841835082052693,31.00656839733693,35.321012287053776,35.4320019454749,36.49945994953161,41.891040450294994,43.3290024784597,46.364630826087144,46.434285224108955,46.88075512444911,49.45452615390159,47.74441143612341,52.44175843744337,51.38450993640917,46.262439163064876,49.41161144942889,53.29950837507259,49.67048737355876,48.2705520723477,52.22094124776566,52.625272302265145,48.62853373932403,49.03936051433549,44.46576987556988,45.896230005942236,47.58115665571485,44.7404132575063,45.85341298809683,46.26336168267871,44.18714772468151,41.9003117679261,41.190732275580885,40.3159771446164,37.13896883290769,35.96968673121534,35.07157104999069,32.216915534383155,30.783238334666912,33.95080931442281,31.904666937424278,27.357605944438824,30.241555919374576,33.51968241005764,34.76307026622815,38.34623073859803,39.181903851093864,43.223676862691846,40.72937432723038,37.072211915546085,41.83281300315914,42.9490473417467,39.90891335193043,40.78698398688758,46.16239484885246,44.535373683396756,40.84708886662968,44.52798957208873,48.1673878289025,45.87954490411173,42.96282118976901,38.55234554864701,42.169555128555686,38.31251394692156,36.37209149764992,32.491251484496594,32.04202757542793,27.657032658745766,29.084072713396008,32.140083459973155,35.76665860808696,36.94704378968322,37.1853941550992,34.239520360868866,37.279889802113345,33.83609511881306,30.23841091275817,32.5611900615494,32.29223160470122,30.98585776797835,28.560041631153585,26.97052550259643,25.94377920595858,24.909008979944048,22.13366205109274,22.17782027972388,20.516943699131854,20.222889401211084,19.88362116784681,21.892947515020754],[20.464465741057158,23.41556294371959,27.378890876662837,26.684089877526066,31.004881256125746,25.36716052114768,27.270954763028158,27.52918085594245,24.700572678916625,27.840130954505884,27.328548859989,27.79566999969534,32.05657645702394,30.167239193076707,32.63486620496903,35.09865719757832,36.65398080704138,40.330682200033486,43.79908895011279,46.622771391949385,50.282581345074306,54.451781145521146,55.183611211101145,55.33585732627158,52.58415665385478,48.442183999188146,46.80194658127386,42.49014457613135,41.36325199203919,39.48370509060574,39.58075878305504,38.911249739473014,39.994790639995834,44.33153794100941,44.2683232755723,44.39655534711788,43.747473114084876,46.82875569954424,48.01275627793615,54.05216590816595,52.721749597825436,51.591792800602306,56.06098581826616,56.55645304707229,59.08599925461051,58.89574971167949,62.79087558433162,60.94546360313919,57.03471809407379,60.98942619185419,62.82003536649934,62.104947434089375,63.60764215859704,58.28907423472251,61.046886643892634,64.69746713082745,61.10732868888716,58.45480492917868,62.9397442464953,64.49006904387078,59.604819874134954,58.984759246516234,55.764251319884536,57.922509086621794,57.217234870559885,53.26414550479229,49.803879931107964,45.85452175319109,43.63023757115432,39.66204132443537,39.604503655477586,40.50681918229857,41.70884809611156,46.37443544805987,44.970712096593054,50.520697466050414,50.9141672976353,52.143874232344494,52.56920338740142,55.18186433717649,53.05800295905728,54.43263898211078,52.406287547940046,53.99427511046447,51.57479344604433,48.98072816642886,50.43128971340579,48.852887577119944,48.736491493642646,48.820265046601634,46.35413685210774,47.6360652426978,43.50487575542278,40.576038269480385,36.826400898775546,34.90672996934476,31.82911972135483,34.442120002831885,32.30687962937887,31.786727874738357,37.009251543862234,36.898842573664794,40.90535540004896,40.34309425369131,45.67605159053381,41.771044701029695,44.34251185731962,44.71510146526989,40.722526863206525,39.31085362648755,35.289107338091306,36.55273206482262,32.42161712896379,35.119171213439,33.94129668367197,36.033900106835944,38.21328733180598,40.44793435457389,42.665710225042766,39.190595021309,36.820591092849384,33.87618468471599,34.41986506812918,32.701755242853416,30.35458143574704,34.56506349697819,32.16500540185605,36.5657094391262,38.99005777690418,42.9917097336958,44.127098051749414,47.66338163822711,49.43044281240546,48.63003273544889,46.41036894515916,42.40883798746589,41.86877704295051,40.89932910553082,39.95721190865664,41.76566067566391,44.01478735919711,47.87469933490993,45.48099375371345,43.3291751166886,45.726158954335226,42.45944918703202,40.13457711339594,37.60261518400914,36.87310950376274,32.49458648575,32.61999408503417,28.576743222063147,30.736344238128126,26.101397866610167,27.87404061041243,31.584520830445378,32.26830805663838,34.754594902863296,36.64435981626742,38.831995447874036,41.504637690165644,43.2749490594525,43.986216331444645,47.63121756540086,49.85838609819124,49.27941168149658,51.038350655205996,53.52932063269971,50.81999994851363,47.44035010066866,47.05070754193146,44.95590944231559,47.15752564802901,46.93847676930425,46.41785384343722,45.787470317834796,43.090158435431206,47.861900977278154,49.30643167996659,50.29791513775406,51.25339694590297,46.480475814202215,51.81816235185206,54.863964114267766,52.72469741134535,55.72976952317729,54.65019670513669,59.11439773937284,58.214378067674296,59.548576831998,59.81114707180028,56.24730829844465,55.82366557382242,53.404185812535744,53.37310397852738,53.312588996574775,48.51771844669295,48.591408543387224,45.46232314699314,42.88455990497683,43.96505120041362,40.752849191022676,38.38292473491967,39.812013573982874,39.87975365852623,35.29806829639815,35.17481308961903,37.168448129919724,35.39906308187599,30.94036050589189,32.39367180534673,32.84437905673818,28.610940019341186,27.877355465805994,31.15392658980992,33.44370415083198,35.501846828220074,40.0590224053281,39.751274068114114,40.758458355472115,46.0800156252014,47.6066895208543,50.45514789212267,50.0345786198023,50.29601566893696,52.566869548677616,50.503426751722806,55.33187779184203,54.69533198056395,49.49511197228525,52.316539127087225,56.551939465399506,53.16819880691281,51.47306072714469,55.24643820777643,56.177064013058356,52.27373593885243,52.12482233025796,47.67242249673414,48.40218303649448,50.12819377603027,47.31291473080289,47.94095698046853,48.25500855393273,45.77218787049129,43.951261366192014,43.42694167011516,41.978410112706754,38.85534268230497,38.35054639356628,37.19352479150417,34.14528263098763,33.34617879409749,36.675319495130246,34.353016067795004,30.02953274100969,33.521259920334586,36.74016043992249,38.211125119473785,41.49496614146117,42.07023640096795,46.303502261818295,44.25633123810348,40.6043169553436,45.155464978746366,46.70816852473711,43.85486675470373,44.47517258948795,49.9642017501181,48.78156430484078,45.02231916469038,48.40110671050358,52.31747949679392,50.35808336246468,47.390511926171946,42.99382190617533,46.925605643353556,43.153064918360286,41.325275313796844,37.24237997507494,36.38740719138631,31.80069738645549,33.55305996034132,36.37195910077204,40.117678446043044,40.90570679629542,40.91793490782467,37.43128997221712,40.044071684292945,36.240771721064355,32.87209851750517,34.49759515615547,34.308722460765196,32.24921697551855,30.370912065406966,29.40183165328273,27.680770728383237,26.19033391116375,24.602497228511766,24.76675801251474,22.363796006074278,21.830869493322695,21.42099348973243,23.404116149981583],[23.82470528495419,26.88543331864348,31.104401034015773,30.334190834965494,34.98863820280163,29.619528617250943,31.615881588226944,32.089061350288425,29.176212970030555,32.12511348638623,31.569816837750764,32.21724498256915,36.39445691922925,34.23188110098068,36.695771943874036,39.303235166000356,40.76676875072934,44.31062395933804,47.56124865225913,50.59154760408517,54.11691972644066,58.37443001752879,58.99352472267312,59.04311902348887,56.44809842469554,52.22979398141007,50.78934889247648,46.527089333136836,45.517288627796404,43.79759326868758,43.640461931656134,43.25386555643385,44.228788030989655,48.46765087942721,48.5382063460869,48.60165507663791,48.14397644462169,51.08780320855556,52.256313955595395,58.37187684091569,56.90008066666733,55.64297140032059,60.14599377242612,60.56885842552446,62.945902570852894,62.67684775707814,66.62049482241663,64.93697949532833,61.021606574503494,65.00299395625466,66.96090644580235,66.34961950177981,67.87242796681298,62.54156311934328,65.40191108485678,68.94899986138216,65.25081774771083,62.69288763636916,67.1800339211116,68.5905358407886,63.643444316799204,62.984791753254925,59.770071508207224,61.72951895374492,61.08975050713834,57.260828237127654,53.554500170967934,49.70126725412429,47.23484518318419,43.29903151177188,43.04348444920989,43.66608168443709,45.12697084645784,49.842201858565296,48.70444263361931,54.22840220552638,54.85936600003788,56.12774981489908,56.707949146723905,59.40336552791508,57.42607237127308,58.84768671348629,56.93131003729428,58.49828085242812,55.991773921965084,53.41185110529991,54.73814145889813,53.24438341343618,52.91946734890218,52.974608457848426,50.35231331874064,51.418068305301276,47.31421469925184,44.50581328659419,40.85194435287673,38.747757064242094,35.77746855391843,38.669234366150114,36.69804394147472,36.281119510430074,41.51647155385912,41.544055518735966,45.51241094123196,45.00694125474698,50.313181650778205,46.37029509283107,48.91401985417733,49.184812179367555,45.126602510549276,43.84307730590476,39.75596133144124,41.02912702898807,36.86467600400367,39.409863618672595,38.14270008560915,40.043071764443354,42.17743277391933,44.196158433217626,46.31158295760095,43.01243916131186,40.51328285734442,37.706804455217174,38.12502005685385,36.60797302321057,34.437721795134166,38.67558115769015,36.46294693359493,40.86008006071874,43.31242395859308,47.42703522460605,48.36158584438788,51.9818429041425,53.719471054710745,53.07839765596521,50.69249982419431,46.66333062838015,45.89751593853255,44.90041619635473,43.81010731980668,45.740642735763906,47.693772794672405,51.6031101688174,49.33201728027263,47.31269671173226,49.839164823173405,46.67892050864842,44.34324150061293,41.97134471928618,41.3594112628203,37.01583420705484,37.246759496477004,33.23446766359481,35.40644590117117,30.70788325765807,32.45121544364688,36.21054227537243,36.86800808394043,39.407759222569204,41.209669399538924,43.426148697437405,45.96256237700591,47.67644839906383,48.21291648646082,51.9389098154865,54.09713030512279,53.285817907813914,55.1419194206287,57.4701088997407,54.7316481432748,51.33663000050297,51.110352536531465,49.07508700527008,51.46453045961383,51.36349781682739,50.909712319306436,50.36956705459699,47.627634643506525,52.4548639662889,53.842230739011754,54.88373237432166,55.74260549535189,51.02005690726455,56.30842487121492,59.300078452733395,57.101023821830246,60.10436599627012,58.96858973039396,63.43292325902544,62.33656589850702,63.75497077708473,63.94967724475843,60.47652159197568,60.00334813303568,57.58343849603636,57.57016048144032,57.444756034920346,52.60765224551451,52.71113340492072,49.46604218849272,47.06927557348958,48.00833541396703,44.931013065920794,42.558836721312254,43.70103697964811,43.76373776516171,39.27718464884426,38.87536624171176,40.75319284182297,39.103540996483595,34.594538287989955,35.73988145628739,36.07964164794338,32.041010959906465,31.05716370324967,33.9518248306913,36.3559008337473,38.27694743989675,42.84875072281046,42.86870723600342,43.78178729191067,49.152210690501576,50.41018554717655,53.50234978050841,53.376348226118516,53.85847538590364,56.28408201421307,54.4442617157081,59.241429644757034,58.403193202569064,53.311892533258266,56.30008529099109,60.384681874462366,56.892315672554886,55.36615008952673,59.228329088438315,59.89419620100548,55.93569797337843,56.06712967356611,51.567036771333896,52.59440693133207,54.28936731222136,51.41066207232363,52.17713551546278,52.399007876558024,50.09480876896139,48.2087308840632,47.48424089052949,46.15458421532505,43.14196299009834,42.407692898232526,41.15741843060712,38.167352604380916,37.25962089285994,40.34890523739038,37.961174076257564,33.658288034592175,36.907265227599616,40.00189670882342,41.55729860601057,45.004549976733976,45.843747983907015,49.98000813069861,47.64232113544629,44.1593126696539,48.855183164393566,50.13740461116595,47.200708172400255,48.070038749663745,53.4558591922288,51.97077058844269,48.32014047918773,51.917130649147005,55.62886733335664,53.4170431321029,50.50127045391253,46.084511435236706,49.718806192689726,45.823662538689625,43.92975873781594,40.04050763005345,39.56163975655029,35.11453918944133,36.54310016758087,39.554769674266645,43.19894136289217,44.27784417805206,44.505032050445806,41.27753683798712,44.10131482963482,40.38087785011095,36.9830483027611,38.84693829647922,38.58820325111701,36.721256723452655,34.745718158169936,33.54224156749565,31.955171366570248,30.67174173500566,28.742085088476223,28.747660237793294,26.47730152282272,25.904478305787542,25.350785883642388,27.15833119546809],[21.48464515621882,24.69362840447754,29.208872061844012,28.878018818964748,33.85655412180601,28.946225632705985,31.469522091706445,32.28163844084128,29.879139586585985,33.12343948281789,33.06509226308977,33.76711499813789,37.692363651969046,35.71078412262249,38.615254579581965,41.05318157912958,42.23067078361489,46.0574065331526,49.279445733772555,52.20916713423439,55.81834850103211,60.054741114291986,60.575836111604964,60.46599607755142,57.72370916896941,53.60533459375861,51.97490372711169,47.71731684498236,46.94850464230389,45.244590838746404,45.74040546676506,45.01675481715311,46.34463768522306,50.704330333504075,50.42746013446998,50.36497684198244,49.5907824019375,52.416687873652265,53.3349293738364,59.35857395241952,57.84620524271264,57.00275751827452,61.50275719469135,61.73461074949075,64.15933840127983,63.67261476286139,67.59691757057014,65.9885858969098,61.813612951288995,65.59673725563181,67.74690943156968,67.00745629550886,68.7652755748019,63.44955143398786,66.46794806546282,70.16767783190139,66.56135343277414,64.1266930597514,68.70752059346366,70.12771886375718,65.33802007132128,64.97041156495806,61.877104098319705,63.94626042817215,63.05104739635217,59.12683834717931,55.595867127767725,51.76256202544762,49.32933239367387,45.532433375172076,45.26374996755405,46.17165970933098,47.67319030428841,52.281456508845515,51.090592679944656,56.798698399957445,57.063181937557786,58.470344633627555,58.74763846151986,61.19463601313915,58.98840433546936,60.074167860727684,57.95877671884455,59.24904965398671,56.78092651711933,54.47093160601298,56.12943455839155,54.76952297779426,54.72854848916277,55.109571617837446,52.638254912530385,54.046251933478544,49.92668543252253,47.03835639565761,43.164802237703235,41.36745029620145,38.13595459169635,40.79135965782603,38.50623183755705,37.898937386461746,43.04420319535968,42.48708647928417,46.5430666656599,45.4739413300492,50.52582245618227,46.29462526496889,48.51470891170986,48.50524975221128,44.26287758945938,43.329420080557504,39.19869940748565,40.90435784121575,36.96591722431158,39.59023822552187,38.8638853273497,40.64374698316639,43.15535156821141,45.01931944915854,47.67092253991427,44.51451574385848,41.9005078202983,38.92998363339425,38.86649464049096,37.10520373575957,34.67714405025165,38.52683756228387,35.96912225416513,40.372651242075065,42.605000392074146,46.94721219075878,47.410103592328866,51.031862429523244,52.95372897099587,52.621964137344776,50.15737397966345,46.29029301769281,45.04461019647725,44.487705698979845,43.62866988825288,45.87570031735826,47.956937139046204,52.118274411406276,50.12105577044769,47.93253029100573,50.57951710818979,47.590475880888924,45.05060408391588,42.72962508863137,41.85995278992235,37.55592702900031,37.51094179161614,33.84780907940422,35.974185595912225,31.469865189088942,33.73829304066422,37.31463507430587,37.960905989195766,40.07763852868297,42.16933404625037,43.79927474628285,46.234391576412655,48.41058585846794,48.61505239018492,52.49207137734677,54.262727257544505,53.22255349116617,54.800649933784,56.949504846635975,53.957777426519755,50.75941100590284,50.57643206131192,48.863926256338345,51.470197835202704,51.571648258395406,51.3965275362377,50.9339386517132,48.54603126790124,53.37104197389919,54.58021934589302,55.40826284756173,56.0361355306942,51.07095884034454,56.14991514032119,59.0590308882378,56.95364372200703,60.3083975379912,59.483627634600026,63.87629114166386,62.65325281449625,63.79500272824537,63.729281026959725,60.28631982237257,59.46577862212162,56.873419831018474,56.677072384038766,56.2619391654318,51.37804545086234,51.31446487565985,47.826775650921135,45.686463199125825,46.24902504414691,43.40026022007858,41.115926357806664,41.76096033333549,41.72744985508211,37.43334073863153,36.76362407901083,38.35228764506748,36.840770684879395,32.33270653403396,33.107456543483025,33.279140996983976,29.50838483738643,28.31799364912423,30.776739866403624,33.31355986828444,35.02116659867066,39.66159418468762,39.92813581694189,40.710579568340144,46.09726308297569,47.14363764369098,50.41808991140271,50.61737679115842,51.33352004080927,53.963769479884775,52.4500024166225,57.171392731899275,56.037657414973935,51.124389539649094,54.3578538620572,58.208420898247965,54.60517573230055,53.35423000173269,57.36040756398499,57.67784946775097,53.698851970790756,54.3150352180807,49.65938013800782,51.12999070845869,52.69314097784734,49.680146129524104,50.73094732884661,50.86396302311583,48.92572376880369,46.820033017659235,45.78636921461082,44.8006562084804,41.90331979516655,40.69169125407075,39.44068357199151,36.59380207173611,35.369670209383436,38.17460002896922,35.86151787411028,31.51746314623942,34.35660967691011,37.36316138419412,38.895267002202324,42.53597139011683,43.673611338956874,47.649312159423516,44.959781272472284,41.66002715146725,46.51662114455602,47.45559407420894,44.44568435706447,45.641476119429896,50.852187322230094,49.06374163689949,45.61336623391928,49.458974272464296,52.88368803132071,50.47169608714801,47.690897100762015,43.3455879449695,46.73476403116967,42.860554541217056,40.726317498858926,37.13535327465861,36.88045826965052,32.664288502314086,33.99161225086866,37.16120055511454,40.706482685744625,42.074371414535555,42.328004670645875,39.57359689716557,42.64153377050805,39.271610459047146,35.57457347922419,37.76835144260681,37.30062402315541,35.95651349512382,33.79741264062135,32.030041547111814,30.76840619268644,30.044125759470788,27.387053182032158,27.031679378128178,25.15976796376037,24.661073178653997,24.062080075955702,25.822222678526014],[22.64679227515522,26.06392376813884,30.633478223860067,31.037530350539136,35.859039856214125,30.883131955871217,33.60970800553721,34.09191765261623,32.05526074286711,35.623087374568634,35.53626014717588,35.8201765833924,40.030847708000124,38.427298246030176,41.146818940590045,43.42723688986178,44.86654038584366,48.76651513459692,52.242050474551704,54.9676217358608,58.704864093659936,62.8380687543174,63.518919423093514,63.53884656870603,60.66725285522839,56.61309713516707,54.79836838007253,50.48971984592049,49.52110362123265,47.54115525435866,48.11502042743469,47.02377393205316,48.20555209504479,52.69233350161163,52.48819850860754,52.692750750558616,51.67504365291267,54.835319447825775,55.825409200607126,61.71724694476686,60.43507024312931,59.7134039586868,64.16321067046675,64.51255520464346,67.09495107524194,66.68963911657573,70.56433212688387,68.79192185384761,64.62098844308406,68.35097148425159,70.36621621422209,69.47368741509571,71.20413494161308,65.91774982356442,68.73143633730234,72.58921733014026,69.13989741976482,66.52028349488899,71.04828635600697,72.70056840101063,67.95317428514797,67.49055151304061,64.30509128959021,66.6056666064469,65.77626182209553,61.734466814719305,58.44091880559755,54.4853258063677,52.30970877914213,48.41287869454041,48.33945499360201,49.325628085003444,50.58050764488706,55.20718826149944,53.74358843549142,59.306326152891224,59.528154048172894,60.706019294690414,60.96623304454433,63.43330335222468,61.03242649253921,62.1768481263662,59.8192182722441,61.22239394179607,58.96849519790083,56.6052429495747,58.42618885256301,56.78948291988767,57.05707329018807,57.18293908315727,54.92809578292072,56.34777259572804,52.20228879428127,49.15422001345827,45.39556367676418,43.588300336399826,40.49974698572263,42.718311144202765,40.30981559574451,39.16973266764794,44.61185922084071,43.726107172125246,48.08984756835314,46.822478084826216,51.943043652732506,47.7278460187673,49.688837629108875,49.81521396532592,45.5576086253782,44.56340944492902,40.681448643731684,42.74959052340641,39.01971984170817,41.94636432751982,41.457760266383936,43.451306203522705,46.02961058588322,48.09084581972504,50.81259761449794,47.47606557356461,45.00336479200817,41.93129247224098,41.97508262302122,40.00811996390653,37.3416589890749,41.015954998077106,37.96894204984931,42.379280866264246,44.36033356574473,48.618896952592074,49.11889366160134,52.525804331186826,54.72980020889025,54.27462486576517,52.14061552466412,48.43499852038085,47.21681421103549,46.97521231055134,46.38387393916686,48.61164476405568,51.0020140789783,55.16713194592519,53.092952749108974,50.757917898504274,53.26319856402455,50.14272310001605,47.61761908974728,45.05512749731834,43.92397613594727,39.560297219239985,39.073161171711455,35.34781550550781,36.95886460062314,32.212967678594104,34.84047731482962,38.559221713854974,39.59977303293084,41.55726270435858,43.996527533479856,45.51258913944619,48.29195368682704,50.656196325708045,51.10580646746797,54.87872020787024,56.66746574508442,55.85190594224718,57.184808483175274,59.44117243752621,56.335478329506905,53.2750263722578,52.91678008603017,51.29497645957307,53.71136558182974,53.667091943821994,53.41379266863127,52.699442801911445,50.444664372020654,55.031780909455364,56.48514722789105,57.140536775688396,58.00559071952348,52.81521119273502,57.909366890042484,60.903694068749154,58.98772820494765,62.48831183584145,61.8342697379426,66.20530665047797,65.24206626081897,66.19033271572432,66.10952315451874,62.55729740958995,61.62002756913635,58.90988877358073,58.52660709119652,57.93949707750344,53.08567463078994,52.726617018125,49.13886039458186,46.886726876043774,47.08744276462494,44.131000103438126,42.17715384731104,42.728376857695615,42.27325220387277,38.13271193608801,37.89296033402693,38.99942182112353,37.03001914780638,33.02955441182294,33.764821574525506,33.44980039301098,29.762702437892614,29.05475503470394,31.137750356987763,33.974884862849166,34.99473876927299,40.2473438785189,40.36466326955493,40.7260140140657,46.04668289249989,46.72412813282699,50.128505509968846,50.26064999886324,51.23557821943616,53.84881760106649,52.54113271236387,57.29991817084876,56.158891462717946,51.555259952073264,54.837365211263766,58.70735114540526,55.256339635274244,54.18054779404043,58.24916938162792,58.611650395699165,54.7405814643134,55.60252744116915,50.75431554092022,52.131941094175126,53.42844875010711,50.11858686195916,51.05379776880728,50.790176811258355,49.097491941976244,47.235936694564145,45.734168861822354,44.64483137376621,42.14629634192648,40.8486273408081,39.162042518949235,36.36460842200033,35.40486235074215,37.76350431647301,35.17893671081554,31.119052269825882,33.953585077497536,36.64368129190285,38.505740013893465,42.113208178582624,43.548783064154925,47.4520346205597,44.659752005398644,41.81772773172721,46.71927832444223,47.56559591014622,44.695880806857815,46.254941432792094,51.2377925656895,49.47963508930329,46.39270252878882,50.33608559760083,53.54373680849614,51.21606701705867,48.67464552203706,44.52061205696798,47.888895362259426,44.23199823520638,41.683496098959914,38.43901183079848,37.99234800154173,33.964402931826015,35.64459521702348,38.80083652941993,42.332972442223415,43.72673850364401,43.64059192163109,41.1368063475075,44.097285114082595,41.006336170678985,36.93747465616945,38.80389448271925,37.941223726746294,36.686819253572914,34.971685966005076,32.80080918397055,31.234483591220684,31.194124754978006,28.607409051649164,27.55494052306856,25.508212357899232,24.83426202863732,24.078428170862253,25.63547787574834],[21.41728033579901,24.885060015171646,29.586338827689215,30.520831693126482,35.454339642691686,30.940832140051405,34.05913675603654,34.73855021660936,33.199157635812504,36.98111009628073,37.26679417128065,37.529944321625266,41.532165336477284,40.14739911349934,43.14510610973135,45.25016835646177,46.49532000604403,50.59703592086166,54.07371766791643,56.66616253145776,60.473788401253024,64.54963272664104,65.18155596844522,65.10149557054703,62.10004572559058,58.15971580849318,56.16992193058499,51.88374862160448,51.07524866888407,49.07874426799708,50.17470211898481,48.773555341334756,50.20858358809625,54.779432687394845,54.30715166853599,54.44879733931654,53.14779222540448,56.244643319760605,57.043219888299426,62.803118113361634,61.53482228525835,61.17155774736298,65.58786842506842,65.8063007795261,68.4454358780777,67.88704745303161,71.71949389959292,69.98096741870411,65.6235677727529,69.1694557569036,71.30092857103814,70.28105405308537,72.18765500712061,66.94236543485829,69.83563414358743,73.82676999191995,70.4940220881622,67.9508897604973,72.52898633616265,74.2222763429006,69.62578186845754,69.3864978987523,66.2960438705928,68.71511576381104,67.6932017674024,63.57009718708354,60.47498017204241,56.5323682905543,54.4396529884951,50.65493323247578,50.60656233996733,51.824231097842976,53.06102599672247,57.586602295799565,56.041099716627386,61.70700008929085,61.622273409838236,62.87368363973947,62.88294973028691,65.13904752366014,62.5359890033299,63.41248709850284,60.86606061472723,62.05863994418762,59.88232531388152,57.74079251443712,59.844739095467084,58.28335454597878,58.82428108428825,59.17508241418642,57.0842721840922,58.775178704284,54.63250205573971,51.5163989997305,47.62184379297079,46.06794044620014,42.817271399012604,44.77841518223775,42.133134770576355,40.794153552022514,46.13796344328798,44.74604427837694,49.17783745167103,47.435532802737534,52.3124996405794,47.90076180570333,49.53150994361651,49.44793566291483,45.080208961177924,44.37473028790759,40.55497117606892,43.011173440132694,39.5521710830631,42.55628581607426,42.54012033044071,44.4593845052679,47.31552369424555,49.28007841394853,52.41041020360301,49.171319821506586,46.65808074558023,43.47015933726961,43.17181114928624,40.99929692473166,38.12569262229996,41.40815925635045,38.03616294307597,42.38581519895617,44.113864347133,48.49413816886923,48.6119387710615,51.94469412287115,54.33652900340722,54.11350966163809,51.998159207812684,48.48965119330542,46.90761725406619,47.08765349247417,46.74402990476126,49.18998247624872,51.728765532646314,56.05743675669413,54.19427971936921,51.71436366470023,54.267255661513424,51.279526009487256,48.61887037572123,46.07775509706452,44.70990191026125,40.42338599906783,39.65141593303065,36.258504656383586,37.733134133973884,33.212083914981854,36.247718484032255,39.776224589346036,40.84453380589958,42.41544858321491,45.109679715859016,46.12102093406022,48.848154523482975,51.59337894751142,51.82069026258036,55.66305879672115,57.130175557176024,56.18851164561648,57.239060517307536,59.36104374676554,56.05180514210457,53.20340752192198,52.842702154030555,51.51051381977297,54.03983676888156,54.13078739675981,54.08987099442966,53.40227334971048,51.47411580139071,55.986943002035694,57.32291651486114,57.77183231646537,58.480728663332876,53.096057084024096,57.98247317424194,60.904455756414535,59.11404087931598,62.90357100367617,62.5377546997603,66.81653135318186,65.80999783731761,66.49415626749438,66.20503005701202,62.67344424362622,61.43934716955158,58.58242139190867,58.014669317515434,57.161764987289395,52.31527177864516,51.761058332697196,47.98451064268923,45.94498486912046,45.75437479364859,43.00361451217794,41.21395290227796,41.31984166707812,40.69888026992239,36.81368821175573,36.44575978358381,37.17714416411028,35.25627232294066,31.44059460657283,31.83001492142167,31.25295147869534,27.898924576512503,27.149255436960868,28.700362875071292,31.684675630492464,32.32062656439224,37.7265759309706,38.013141759056545,38.157336637659284,43.429796598894406,43.84178343471775,47.40246613209062,47.80391110517516,49.02518901272738,51.7931241496885,50.814021779157756,55.48184518322443,54.09353694096968,49.735892431179835,53.2106846332032,56.85943857175886,53.37031128704185,52.56920457309259,56.739970952739256,56.82116916056089,52.985061277744954,54.29077876287307,49.31616797532949,51.03140780347807,52.154724866337,48.7026913225532,49.85291805416506,49.44630739917939,48.12652125424874,46.13653346111385,44.30049704826872,43.50616169176541,41.203884806985336,39.49395275039683,37.751974778460024,35.13332448459072,33.95619391942482,35.93690694156551,33.40879606152592,29.439268655225646,31.842689387904315,34.34937858160089,36.23445725330682,39.968352352766445,41.70996812722117,45.42148146125282,42.32492159680896,39.766678856007026,44.76622159201165,45.290354058370085,42.4143680671895,44.316878837050616,49.058846782966576,47.06598969425444,44.25773790288311,48.39551984514726,51.292557118272356,48.836891627200224,46.485527566417666,42.47795697989504,45.61208172631514,42.06871645382126,39.235662289826685,36.37204888077031,36.06202615919402,32.345709615029854,34.01030678719535,37.23710956739007,40.63654024056544,42.25169873814795,42.10267143550591,40.0793946873692,43.17727120782938,40.47491111086358,36.145278267919245,38.190650626980684,37.09051377188167,36.320011226943215,34.562997061011714,31.880058669419913,30.571906320534953,31.12838150193972,28.02187624345808,26.535870879181413,24.87576263266154,24.231963782824305,23.44669339641816,24.83933609622238],[25.779916553335024,29.233718412650024,33.94966247704701,34.69355975506758,39.7037314189102,35.133359982442656,38.12273153743021,38.760205687112546,36.96842679394319,40.60150951128934,40.664528216455125,40.96103183332521,45.09578966585075,43.513159440799484,46.34791937275688,48.5987313047294,49.94201601248544,53.89583142193493,57.301781351812934,60.04617746214197,63.77441718983623,67.91446466322688,68.53591139987171,68.45992504706923,65.58541950302892,61.552359306408455,59.72488852784254,55.43875864009876,54.582595068381686,52.62809187931787,53.341786214572664,52.17565269318471,53.397882592133854,57.90993609123347,57.65995292008915,57.84957695813367,56.74424042202482,59.86423544574173,60.75821214592339,66.60658610066297,65.28960159948552,64.70979507507926,69.16041848538886,69.4137458386699,71.96250690792775,71.43368869470328,75.3073825108614,73.62949077861099,69.34819759962218,72.97911093085101,75.11839771639312,74.19447509728087,76.03440587698923,70.7625878255581,73.64875358573791,77.55444841659123,74.12771674388047,71.56699569623302,76.12167605918185,77.75784732690089,73.05610940127993,72.67148545370763,69.51582992982674,71.81168039886514,70.92874459646885,66.88790897032018,63.594280295998196,59.670181470893795,57.44028889682613,53.59147332446391,53.452977861128275,54.41776680587736,55.768968619766035,60.38612009097933,58.978052911025024,64.56289895422269,64.75540726120533,65.94854205636813,66.16509516187723,68.57790848299801,66.11313962855478,67.15901563463336,64.71008050068441,66.01205379456803,63.783610053838544,61.5377438717976,63.47175216819792,61.864692707676916,62.21782398388159,62.39176340434782,60.171698963043326,61.61137383242512,57.46660592265016,54.41121473050394,50.649487264421666,48.85785024407183,45.76330639074887,47.93066634203431,45.46365901999721,44.17451392671209,49.648024333450486,48.517729169820996,52.96242135182683,51.443813376155376,56.435927642858026,52.09733574686471,53.8048997714095,53.78379555104666,49.436563065002225,48.66900112346158,44.84090676790269,47.17999367994178,43.60964639547481,46.54364535047131,46.28789423282954,48.17427401491046,50.888000745353345,52.81015274103262,55.709586710762466,52.486911299196706,49.9378256310278,46.858281913358816,46.672961098632896,44.67558863965937,41.95996578751047,45.420229560656374,42.232476238179586,46.59927619322784,48.408935904066,52.77522457516494,52.947416009373754,56.31159394582779,58.65636925613242,58.406700687482264,56.249748491694874,52.67121259348977,51.121202861874906,51.154127679885725,50.65708921329179,53.07418550602686,55.42296469448871,59.71331757628533,57.81460871748219,55.44927687928171,58.03615746162225,55.01969819783706,52.415309244356685,49.90780491566034,48.67087832436313,44.35072667781889,43.69907298495489,40.142277714109206,41.59337111268099,36.88134302733508,39.75013969969787,43.43408385609779,44.55201674786551,46.32112599244154,48.90981066556041,50.16367693831635,52.90400812144682,55.4769786068651,55.750545735306815,59.59314781425647,61.167978553685735,60.17921861201362,61.36702987569933,63.460896799946816,60.19913515676428,57.282797101087226,56.99295545854332,55.58886960108661,58.14683341217188,58.219993041851396,58.10692689777403,57.408583588444706,55.324798686111755,59.86073165506588,61.27167393967092,61.80880084898767,62.57946103785149,57.26688048304513,62.218124280558314,65.15451468376577,63.31277802919995,67.00485816838557,66.5116956557299,70.8237447608162,69.76505902155772,70.5781276133532,70.32995566194124,66.82995846281433,65.66602737300396,62.84939428727746,62.33286206427588,61.51316158486462,56.65908309473237,56.147896178699845,52.37169450200954,50.3463413385796,50.156817247262225,47.40210019146551,45.62113310356719,45.717689774347434,45.07978097649113,41.22195139891739,40.82355648490949,41.528924577595625,39.595523350430334,35.83980491848618,36.159923806379076,35.52459123703729,32.26005824272962,31.478382783915727,32.86594126024267,35.86558825967287,36.380831070790876,41.77595461159701,42.196595985733275,42.25594573700739,47.489546649784515,47.70351324204157,51.3754479906898,51.86827226446823,53.20671834685041,55.995253582622745,55.098934875049466,59.75835432424693,58.33434028826449,54.062603145701814,57.56164673753703,61.17704947222517,57.68541549038833,56.936459960752906,61.11496014741975,61.137571772202406,57.29713518194461,58.661488569388624,53.69624255350684,55.43643812061402,56.54648153765859,53.063410000454404,54.17954840458756,53.676962126257585,52.38332469287186,50.47801887147074,48.55891629450209,47.695247550831006,45.49215506562834,43.81777489783114,41.95708462155855,39.34518302772523,38.27652091212596,40.1246714869359,37.504684691459964,33.66667779970746,36.03598907027785,38.39717598447758,40.381236939102266,44.110617397331424,45.960265724345334,49.62343999252941,46.45401220180731,44.04672768140817,49.058353614145446,49.492983180235825,46.62743867382582,48.62979563486089,53.295687960070865,51.20388714969838,48.478989717441245,52.67576490329891,55.472374544682715,52.924116826342235,50.6152106585284,46.621373418197706,49.59019449795502,46.00184387610985,43.17756617967183,40.42699842789179,40.29300440882236,36.63754054733539,38.130402907488545,41.40980205492462,44.750243369258804,46.46354753741026,46.41789197141709,44.427664820394355,47.55595720013164,44.80118926227415,40.53568336635005,42.562662708744455,41.458697487569246,40.597857736913014,38.90409281907923,36.281035853161036,34.88281077576338,35.37639545671893,32.393893947398254,30.929371087961762,29.15991781050444,28.465428719118844,27.610353829205174,28.886594379869667],[24.926522869137628,28.23442921197191,32.908864628607276,32.887350835576854,38.01755102212094,33.347030278756364,36.05861590527018,36.902491505553506,34.65308753333429,37.95125606605194,37.90943286951703,38.552039731661786,42.5253908192607,40.55464487174675,43.438942715389096,45.8826828278226,47.07567877119881,50.89163917708298,54.07653236050436,57.04169001217035,60.63070455833756,64.87918389907117,65.37717491505049,65.22349406735076,62.51001721006864,58.38422981390617,56.77999182699867,52.533762117094284,51.79247784203183,50.07678700196185,50.53472916005849,49.78882025698128,51.03791848200155,55.41340859251603,55.20269482533147,55.19153900692549,54.39231258772046,57.252595114987905,58.15257904577282,64.15945494641237,62.641294636119,61.82972816108542,66.33324603363549,66.53123125761773,68.92355137856885,68.37694152059741,72.30878660726053,70.76003570687688,66.53989603233327,70.27959161409882,72.49584767866214,71.74608278034418,73.54846158090473,68.23954456406196,71.26991066515106,74.99291198299035,71.39202255520284,68.96415831461992,73.543943759726,74.96684474410549,70.17742570901146,69.79169763491359,66.68084449862424,68.73353439328095,67.86638147482218,63.95840067794285,60.38917909494149,56.56852217368681,54.08841554161725,50.289236780609855,49.97329539943387,50.776932914006196,52.34807827022833,56.98191083757583,55.841448120574675,61.50552650547441,61.85184365994119,63.211647094393044,63.53728876894661,66.01078092709777,63.783360764425844,64.87433711787244,62.696700544751074,63.97666556304115,61.542173575420726,59.26272026135043,60.959164510383786,59.558865805868216,59.55302285624001,59.85808645307154,57.39485123745535,58.7198873568959,54.598372306317195,51.703979043569426,47.90139567117545,46.02165327361036,42.875200346339604,45.4956356127891,43.21502155723058,42.425095360392916,47.70141682769808,47.01675599682042,51.191843063446534,49.99854793108414,55.02323089138098,50.73198985106531,52.77158181134584,52.70641142063027,48.39666666122426,47.58185657925298,43.51575125402655,45.433602349179566,41.5976096880387,44.25676513933458,43.646523000871206,45.374607580559825,47.936895464126664,49.71812373847089,52.412098661482744,49.317295857248716,46.66388334961785,43.7166534920389,43.5517917868698,41.802386191695604,39.357915706584336,43.089249835944265,40.41107888604099,44.799777804010134,46.9053561634602,51.31050200994693,51.57518636803495,55.15410874816478,57.20006102089393,56.979053350522484,54.53128992345568,50.748336392197906,49.28750063724403,48.91659412637092,48.10913181260468,50.47435514820496,52.502985248559234,56.73338994250971,54.834931394960016,52.64786882298333,55.338956601882295,52.39197691376188,49.82146102927238,47.51063524475203,46.57161945927954,42.27112409860723,42.07470796838035,38.44779353216999,40.36398258685986,35.75018641839475,38.201501733808485,41.84854153547047,42.641224018346875,44.67523010161547,46.894210075237076,48.41534503930316,50.88949443683565,53.176628373739895,53.31745273581637,57.22604189073092,58.89566007550979,57.75135930484316,59.24341467155111,61.28791769203761,58.1895473032247,55.082525587353395,54.946857997348886,53.37063104965334,56.0558174898438,56.208025350630315,56.089153193313635,55.59315517090938,53.28343043540952,58.04845337454113,59.29500793040541,60.05000598650944,60.67485076323852,55.612385947525325,60.62587519890266,63.51659509669125,61.468643247795946,64.94035601620051,64.20230264469006,68.5707922816644,67.29925579921634,68.36750842339589,68.200303405128,64.78670459563155,63.821430135275826,61.153140821135764,60.857521423434285,60.27150810684497,55.37987932467269,55.1849503474375,51.54500971889372,49.53951396228454,49.78488036941487,47.041660760312546,44.921058204819964,45.24078735656583,45.011922769972664,40.9183532283876,40.1954298605351,41.43466056673613,39.86067910073777,35.585487813647184,36.05177434226465,35.90991839530397,32.428120528582554,31.24544280340985,33.138480703215,35.86244442093124,37.10880773857187,41.9610592101104,42.460286643149466,42.959632013859355,48.300870475556394,48.92557472225457,52.45471703538922,52.918424268080656,53.95027553470252,56.71049535238253,55.5185019894245,60.19425122273111,58.85675924473478,54.217706421801914,57.621475697724655,61.30684479426565,57.68443229635659,56.690410721402934,60.796444272656444,60.87004724108172,56.912355693024004,57.92508995862394,53.151187366292106,54.866365488736754,56.26474885828099,53.07192745348633,54.21755957604747,54.10079481992423,52.463457340236175,50.38801648945268,48.97122186192445,48.089437971015776,45.469876920934986,43.99828826972186,42.51229794053422,39.777001997085385,38.551292788634946,40.923717807290366,38.49328403313607,34.338730910226566,36.88831976874026,39.611181452040135,41.318844069290265,45.06056936171399,46.55906556124714,50.37166819122439,47.37976175876803,44.463798174218915,49.43195249548255,50.05885490159912,47.05798976791769,48.64238342914675,53.60678323256834,51.557022771247986,48.4112129204385,52.4793906628525,55.57743611394491,52.986575837231484,50.395813928268105,46.16920701195036,49.23946689965676,45.40727677937821,43.02231967352298,39.83330853632785,39.824940470178255,35.889064883453855,37.09164419867751,40.38114590387314,43.787785650687795,45.41985160815476,45.68923087692067,43.32815143703157,46.516142803684886,43.39535941683087,39.504918562345985,41.75626789702299,41.05263636977316,39.95409187604944,37.90082358602619,35.756370752111295,34.51394093711126,34.26661042526276,31.365378082335184,30.58864694680795,28.812833183309777,28.226067519177622,27.488905816552528,29.00758409723824],[20.63112637470437,23.850556480448386,28.622037762294113,28.7452810551972,34.06328449743464,29.924111769373795,32.97168686390321,34.2306601497341,32.389651157135596,35.797678753479445,36.262777516012896,37.09503842841167,40.63664813349425,38.78184390207273,42.13390008178096,44.40944371124913,45.21236443174377,49.26983708930815,52.35517022009892,55.21666756716818,58.84855361283433,63.06227588276701,63.42840217544224,63.09975971579528,60.25943096337489,56.261789406362496,54.497091836571414,50.301357289103095,49.857608776893265,48.25679818555364,49.395251960926586,48.417636936572364,50.11053472400258,54.53204388017959,53.897853175606194,53.65112623685178,52.603820558806376,55.200929006831736,55.81918024002358,61.72476080083658,60.11442995145872,59.70693811271271,64.18740287470895,64.16969998754371,66.57783606570315,65.81537714072883,69.71034915652054,68.2579278428668,63.80858609708941,67.34983611793429,69.75611199981559,68.91676165031987,70.94594575365304,65.67438081937807,68.90627969429853,72.71602442045295,69.19071661140029,66.95291334043343,71.625527169189,72.98746944799464,68.38007258834816,68.34796172808298,65.41734278710075,67.52752805727597,66.35599780828034,62.38820431642933,58.99352053172544,55.24288129370529,52.78270757757013,49.18481445557309,48.83998249623164,49.97796024805896,51.59633891351139,56.067414210623674,54.91418298218122,60.80351457046858,60.71728940433231,62.30687972044361,62.28160178228595,64.45211862295163,62.05996866159394,62.76432075277064,60.48748449743224,61.43882016429856,58.98286242405222,57.00800877413326,58.98223628410444,57.835936782006044,58.02802405611088,58.79162628405791,56.44164159029624,58.166183988552746,54.06176896267379,51.151568081747065,47.07996292646144,45.58509011675058,42.117092990899756,44.60549846699235,42.06361879561419,41.347615891975046,46.29778998195804,45.17285299888911,49.23083422835814,47.57664855856362,52.26399763249326,47.73468360288891,49.570007679275975,49.18463364707359,44.766653971076266,44.303441606559716,40.148921014102854,42.287898762652915,38.651179656546816,41.24665807704448,41.097702033065545,42.64589041655859,45.528271215873644,47.12326407712019,50.31870414343897,47.411739587332775,44.65939788712558,41.59136927055969,40.95682722894783,39.02067794175618,36.41836667083064,39.76789442484449,36.963320941212835,41.27961832579237,43.24726404475203,47.83185900905284,47.66833209582006,51.292805687725355,53.374197572174104,53.471523610591696,50.86132532769429,47.21053174624515,45.35130183042549,45.28784661385247,44.65019679837473,47.26519189446049,49.36598301977441,53.7822666959864,52.159808410320146,49.84863580029554,52.65232425661747,49.92722472091727,47.18234277800664,45.01384069663434,43.92265722719475,39.74909106490443,39.47095360709488,36.288017085548546,38.384919501270936,34.21356703843218,36.94131634806142,40.24855657625123,40.81823867391432,42.46635908720925,44.788573870825715,45.755790591955595,47.968378899158864,50.614101601161344,50.366678713751696,54.406450170843975,55.68869127262114,54.30989268315098,55.594028622743195,57.45489677189734,54.19378356559005,51.25009602511367,51.1808269955478,49.87652043799156,52.774624738468084,53.157169005489116,53.33196133703356,53.01561026784088,51.03040211865302,55.849174306107244,56.79908718872588,57.40598484963793,57.70561511158793,52.54730576832158,57.31449032501365,60.076031556445876,58.06471893071006,61.78844341358526,61.30304024094208,65.57410642382938,64.13615320208127,64.98688601444069,64.59929713143707,61.25483003637106,60.026772755048206,57.26173471374209,56.8712895752435,56.110635469369896,51.209090789283,50.98477283446862,47.22203205732425,45.48983335915207,45.5847163577655,43.11573208036411,40.93863031619921,40.887386023526346,40.784322554063095,36.82808620439648,35.70612706740013,36.91436946537067,35.708662327893734,31.24366770555727,31.428821141270404,31.403968756619598,28.154845937405334,26.599013794316505,28.31195136028475,30.952010428070498,32.3738070759926,36.93684489843005,37.64514163877908,38.266964344677156,43.616770434373386,44.33363602527389,47.86358222504874,48.58512575077266,49.62106927973133,52.52639527540414,51.475836251602416,56.038277613785006,54.486748755198015,49.844681874097304,53.388550441697404,56.86001254539361,53.10561863400433,52.240147556642995,56.40014673944996,56.199689804726674,52.20841193389967,53.47087687327543,48.69196620023044,50.78457830146472,52.190565921965835,49.068593246197544,50.510954734860114,50.55882720574835,49.109415028005785,46.71583016007746,45.324873982065384,44.82446244886374,42.09160011644112,40.26848594423229,39.076561268924905,36.48053511142792,34.82640882737986,37.197925467355574,35.056224679708315,30.74849791926385,32.902311422825214,35.728657866651886,37.17564713401894,41.0512492498922,42.584286321341786,46.278374736503395,43.10632750869309,40.08497348882696,45.103769209656896,45.52416106241221,42.420990116538945,44.04466162215826,48.95974551025857,46.71148048985633,43.552984464883394,47.71794018644849,50.70231209015057,47.97503805615195,45.39006494627928,41.171473883914466,44.105762505138365,40.25578651024664,37.86068996853536,34.75447626123653,34.93476464893338,31.149083832834187,32.174515769601335,35.52761809177064,38.842859180447014,40.635754708798245,41.017612358112174,38.95466128671697,42.33587559195499,39.448852071641724,35.50675561207589,38.151132976962366,37.473460092038174,36.83009691138176,34.423456189916685,32.01579221669808,31.263702479218253,31.18441048534018,27.67292552700488,26.930878660221435,25.69046354924044,25.274598898074984,24.643778124110113,26.19731130610921],[24.990267951485905,28.202523616239525,33.02692510605164,33.42629882311138,38.843855781687495,35.01676178371236,38.20688369563372,39.518154525909715,37.80737300425861,41.233967014143666,41.719766182162786,42.52849667705738,46.08721967140211,44.2167079885377,47.5715921103335,49.86198057997104,50.64725750894574,54.69431011557069,57.71322801141234,60.623865179734004,64.22420742277512,68.45432402114228,68.7757352567665,68.37951376774384,65.57553040018597,61.57412525434749,59.847533137134704,55.67601700195351,55.29067340318481,53.705194684800226,54.8254662544492,53.845001232871894,55.48715700544424,59.92053514936265,59.32810241064811,59.102117063731455,58.03739309025881,60.629274909988055,61.20689664011732,67.09254605245518,65.44959308414944,65.09287177966638,69.57691156718157,69.49863482182795,71.85519760010567,71.00848469551666,74.9091829017575,73.5458312742986,69.03804527646724,72.52265634489389,75.01999696149602,74.18104327611238,76.27214949751044,71.01260661875394,74.28846639171822,78.1087085881839,74.58235378964568,72.38058136163508,77.0606961013596,78.39941637496877,73.80115837765834,73.7799418443582,70.85004667527178,72.92544828255241,71.76047595062923,67.81695591374014,64.37262796423325,60.65007450319892,58.119968612709556,54.535186849495304,54.122875360842265,55.160541095452736,56.87790535474105,61.368993126957065,60.289314239522426,66.16170300027571,66.1396770383926,67.71167305849288,67.71779118879999,69.89681122776975,67.49105243730558,68.17232832030894,65.84702966424416,66.7582544978583,64.31978229848275,62.40073534878151,64.41576754580012,63.26369061288123,63.47713482414175,64.20714989861824,61.853551410102774,63.51325687223896,59.40504243683011,56.497615339422346,52.47225149418742,50.906709437236685,47.49450215099904,49.98351426831319,47.44628224588632,46.59009912732551,51.640716903912335,50.39656952434487,54.542035420578834,52.758003025702585,57.38441787968025,52.791207541869646,54.43633726334208,53.961435973768495,49.49186605956217,49.17880419039164,45.09905481158336,47.42624992903412,43.90291010112707,46.495226737563016,46.46020084137239,47.927251100480014,50.85925537799059,52.338693047486906,55.589402642787846,52.772655582183106,49.96683230138083,46.933953494443465,46.17608635832029,44.27171707062452,41.68326067249087,44.89478107490568,42.02102106391704,46.28927307906442,48.123051782243834,52.76589136593945,52.35920148293416,55.93432342644658,58.12137470382193,58.37180793211467,55.75412031494282,52.205815301882105,50.10018112453009,50.22914638837472,49.63540836724425,52.37635739922633,54.38808146966112,58.87557835097621,57.383207041442944,55.0862666686563,57.949524339350454,55.29518875559672,52.51552440785074,50.38818290410681,49.24321528814123,45.09547985900002,44.69651247491661,41.57367620088243,43.49617597654411,39.25537623528681,42.130336310938816,45.48938682837275,46.170440165196304,47.733837568056124,50.15890326339448,51.00147298838799,53.21020251917507,55.964393637046506,55.61058938319189,59.68868439132553,60.82862014662194,59.31207829644869,60.50665566039645,62.222613492524815,58.85632985452898,56.02760947598822,56.0305882765842,54.88924127994751,57.8896242155959,58.350848680953895,58.607183620913695,58.28566774942064,56.39215992507985,61.160685526762336,62.11351933391554,62.6457747287709,62.90019239606968,57.66945395382348,62.33306749959157,65.0488433832074,63.09460564746781,66.93938194722732,66.55284827696482,70.77866577903457,69.25816514270115,70.03173785795629,69.52134664617103,66.23026791427282,64.8374073431988,62.00114251412311,61.51168887918214,60.56679400845658,55.67934112506827,55.33115056143774,51.426176531257994,49.887055371742555,49.64313994645025,47.341558270987136,45.335313240333754,44.906101592543784,44.625372726437206,40.936732676371626,39.711750373823364,40.5422849048036,39.34522328035868,35.162725030637404,34.98100181878684,34.64001824130938,31.799755686444996,30.23341078237403,31.258380023012034,34.02997523833525,34.934628191501204,39.5960388572805,40.608726866217445,40.92784140297236,46.15853713582206,46.39892692331985,50.19291946578018,51.260740400496,52.64482181388468,55.69780931542391,55.02799730115352,59.493381438669076,57.691248528003754,53.378579013866236,57.10482262311294,60.33827254221466,56.56064011018825,55.999054500753175,60.244883569067355,59.73295889156471,55.7832096045414,57.49770771933565,52.63400190634633,55.02592614220628,56.26017928234478,52.983552170264645,54.55747295041587,54.36757614174301,53.260842920304825,50.874225626151166,49.10116792002252,48.75852927425328,46.31623102334844,44.20519642385609,42.81616895460889,40.37664093375707,38.696310040457035,40.58207706662947,38.3786520412656,34.31909212425726,36.080938786457956,38.565032314986595,40.14723746178417,44.108081447141764,46.0229905528699,49.48773819985623,45.98125658861936,43.39969332997616,48.4952436825107,48.531208006023626,45.45094951306048,47.48828988085052,52.0808096622666,49.518253341572944,46.72393946877064,51.10896118170715,53.687767548035325,50.74612748618101,48.39633886222038,44.35466287212245,46.858254764382316,43.084758124399016,40.454713717059114,37.86508358238882,38.366567720548126,34.966517989942346,35.78730171715121,39.228850434661204,42.328758654361465,44.41720682943923,44.85017691500781,43.25234752033006,46.75306902059972,44.152412623053976,40.071323530141974,42.79295858168264,41.89837649934832,41.526970330287696,39.21765942788354,36.46007549247141,35.778492980204234,36.14091561001081,32.421600801013,31.30316440743376,30.201098344968123,29.727885150117128,28.976998973817608,30.285955238140218],[27.85014006730447,30.98997629545153,35.75447883900272,35.44022352150472,40.90634007454078,36.80660340423364,39.62046925359489,40.937397740900266,38.660734362408064,41.72239042094407,41.883895513236574,42.91438325381363,46.51601297030284,44.23163962897912,47.40424817056178,49.94847562814757,50.76874110888453,54.55515205418186,57.381516653637625,60.56248798021762,63.99085185099741,68.33804901435474,68.59242539528661,68.18632483151364,65.61843350603559,61.470480578280764,60.05148879391467,55.90745438896942,55.505362394548825,54.09767873981399,54.64384023937772,54.16790105801452,55.60157894400297,59.8739305256842,59.53927263653901,59.24712163659355,58.58613598370972,61.0570446932504,61.76703643410059,67.83964600852258,66.04379471875538,65.28116085040773,69.82198262130741,69.7810832156413,71.95784680188416,71.17635345552715,75.14880835009957,73.89265597149426,69.54665251203963,73.21537372880422,75.71677415877085,75.09349689886457,77.05142078809291,71.7440258061468,75.06694450200446,78.66798201862828,74.9407250903933,72.78208511639124,77.4374665870545,78.59483100340849,73.82661833368938,73.63332460701591,70.66098938728021,72.46002510753021,71.46606339440663,67.69404482043825,63.892125837010155,60.25309201262416,57.458896380662715,53.84202194184289,53.25363426551254,53.937583552604956,55.870325224464196,60.44668326944713,59.65829877590335,65.47076834292275,65.82769460285434,67.43470779574541,67.72711768920611,70.11150285957123,68.01123992656012,68.9223797374099,66.88685449682117,67.93353148820394,65.31644623237119,63.23230382173331,64.89608261927437,63.81306226783434,63.5975205908179,64.21319145133886,61.5816720097856,62.911863423682874,58.8322657839405,56.09621906791546,52.192085922442764,50.35047251592087,47.075614212502224,50.03247259403756,47.802870112940546,47.32720909541582,52.365290815251775,51.70673393152162,55.68258576981707,54.38777357829216,59.19558736540048,54.748494426167845,56.7506592017351,56.37451938258583,51.97898028542895,51.482517374675375,47.249500304816344,49.130768296113146,45.29772476869244,47.66350697515589,47.108200580216916,48.48474301642959,51.12827921767413,52.52374574964626,55.347129830708425,52.59629275344541,49.72876958744589,46.90034515051398,46.34767777218134,44.78166035156838,42.53192971931665,46.14043716138814,43.78446258839412,48.094381445277435,50.236066510257515,54.84121499793777,54.675056352166415,58.41444346609368,60.3346552204451,60.48887368476029,57.680844531383364,53.90049647332011,52.0132030238571,51.65895520234857,50.69828532968617,53.300930817999685,54.943027108447495,59.29732260157429,57.70990934172829,55.65095653841694,58.57517270645947,55.900372365744985,53.232428499818,51.23588730527861,50.42781891969648,46.24983400120674,46.27392008308098,42.89957284883866,45.09925744609649,40.73139451760518,43.13735831844077,46.62415980359508,47.14625742118789,49.10826397902991,51.17113563802972,52.4926382050312,54.581119055721445,56.91992256814621,56.60168613138708,60.68388791303278,62.06573812066359,60.480613017337035,62.04561214727836,63.76680322634833,60.61144494674116,57.55033130389397,57.68527771754203,56.28843527314432,59.32981589505076,59.77173872527003,59.898450684942,59.67362750840834,57.43923192471627,62.37149122409948,63.32023822058421,64.1083864235217,64.3776719671316,59.41057510312124,64.22835107916721,66.95508767469728,64.80513045616162,68.3476718249431,67.63124977433274,71.9375613938483,70.27629593484262,71.38478380566548,71.03105551095544,67.80461133809777,66.68843820691511,64.02064492366577,63.76114844720041,63.07690607200039,58.16305112372132,58.09291873465856,54.33976603697178,52.72233697963913,52.874207271316926,50.47673272917256,48.230275727040436,48.11019172595907,48.09460037084227,44.17626299103734,42.84264394015071,44.094470418687216,43.023709763522156,38.530961796794536,38.556739424032656,38.5344710486974,35.44987530301793,33.722563869806756,35.17625288200468,37.767039019819784,39.13806829697676,43.48508853819125,44.51175287625299,45.10208963118914,50.40189832596812,50.86774498290183,54.58056308012641,55.54493091868362,56.72569000975607,59.70792240590263,58.78016137895098,63.30073137467273,61.63583194375806,57.0640379420333,60.672158495381574,64.03027206487931,60.19700909702569,59.41087941155561,63.58185070561387,63.190641892907564,59.16038149683132,60.521811809457716,55.81745218356751,58.0610052658717,59.51444527810523,56.4252250129841,57.899713391815986,57.91263253076395,56.48038180951387,54.10699833946226,52.680544792998624,52.15462554317346,49.46834728565969,47.654495799164124,46.395251825089815,43.80433896833786,42.204112840939786,44.45188135096276,42.240805653203005,38.03585357550101,40.09245966588387,42.77339604226103,44.28430436380233,48.20200189908508,49.8680770541956,53.4852355852779,50.16332779544298,47.27350228507144,52.321736189237015,52.561998864803634,49.419809075543505,51.14441669122502,55.96660358453348,53.48360260629447,50.38856009414003,54.65100685918973,57.47846314218877,54.52649428494539,51.96431884475754,47.74061420108676,50.320234687376086,46.34541148335622,44.087491239573154,41.150656192236475,41.73401985289834,38.07388500829909,38.67536350696591,42.11136805988911,45.27245775993637,47.26698365233331,47.94700135919847,45.957127590324625,49.44494785165408,46.45472392601267,42.70934930454413,45.45641797721491,44.85406267024797,44.10272908949735,41.6723124006658,39.389918957761694,38.6097567172502,38.34203209080475,34.945984288873525,34.32701186205482,32.98576336724862,32.528473325581146,31.836536632992793,33.303661852169256],[28.429502718060657,31.323064112394576,36.014343400141954,35.224078488918224,40.837167625573514,37.070226202892506,39.80487442215178,41.470757015452726,39.0537026641788,41.8320655062798,42.1122753578203,43.49444043346586,46.75668694895763,44.18732688913304,47.562209367601554,50.19401054174587,50.705099375118174,54.42746522702857,56.953419886849815,60.30281090591461,63.5850389938953,68.00314572942133,68.06823811236222,67.47984429609865,65.04367164377992,60.880808074022916,59.630577367375025,55.585748598692916,55.443412101505835,54.315522485557246,54.891211711647,54.695020320503325,56.28924423946246,60.44088065155691,59.99712427504079,59.446481493262446,58.95438952653265,61.07273746317722,61.64765897027105,67.77855535134893,65.75673708715884,64.97549386662286,69.53382265261992,69.31972959230993,71.31785142548108,70.3856729286814,74.38364938308136,73.34548269040197,68.94727130828478,72.58827417277138,75.2845069417969,74.7837966350594,76.82305184600838,71.52232218094035,75.07168690304854,78.53798261329337,74.69178548194435,72.76006630966369,77.4644658866072,78.38789849506617,73.6356358310359,73.58908995351786,70.74445336711675,72.31918992122742,71.22274735276841,67.58061028589918,63.59143875939282,60.111119913472336,57.07317846902251,53.619728886005014,52.82156566957036,53.43366377011288,55.630661851333386,60.13299385331964,59.632319445365404,65.56418648935434,65.91829106228782,67.7490103264222,68.01383615278537,70.32522331227437,68.37199430698665,69.15405244336203,67.30162322601868,68.17148095744689,65.38696862677385,63.43704013728279,65.00986757015076,64.21322801701234,63.771181491655256,64.66549553057229,61.875926786711226,63.22237122336699,59.19233485690233,56.61141763255536,52.61883805601579,50.832015409593026,47.44414434767399,50.71383818514714,48.56450402136056,48.471172247307,53.228670696279615,52.72345608059274,56.44372079798709,55.19570991035747,59.8448081148756,55.34364361693841,57.44537227591183,56.87019401932008,52.470438261224466,52.14475835482921,47.742595884976815,49.42189775974895,45.525103523990246,47.59670357795348,46.96814869192739,48.06949541479617,50.70503599264715,51.81645341804423,54.66009495642669,52.17987671248762,49.16845628148919,46.46158040692529,45.670904803638024,44.296596681630405,42.26690086620031,45.86185068151363,43.90239748713906,48.13667850661113,50.40059028655054,55.10440824884191,54.7358047926454,58.63550522843615,60.34502562850341,60.72291231370305,57.6050009997656,53.7703998675758,51.695900024191275,51.19341589665184,50.041854203574566,52.74600682329205,54.05151756230491,58.438231851001774,57.04581651834061,55.12491535083511,58.20060723141592,55.73656829973353,53.03075915539784,51.30660802986211,50.68320537245325,46.6216883359938,46.94637954034088,43.743009711067955,46.288104417917836,42.159530945981906,44.38824543742508,47.711181303265775,47.92675235012511,49.906792189370556,51.729102937686896,52.994940519580524,54.729943957856385,56.99691496798013,56.3516544761271,60.54170489684984,61.77696769114991,59.88944581874826,61.59450095138936,63.10887485631896,60.00048743979438,56.906743532539764,57.24915831610213,55.89835275997393,59.17482414019915,59.81686536740861,60.09497284407526,60.11675563487465,57.86876118805847,62.9679701792597,63.65607555376823,64.53784659680345,64.52945743117394,59.7341190794437,64.43528805692127,67.03536075292499,64.75139143717902,68.24093812419105,67.4528935796378,71.73647476791797,69.77689745114283,70.98448377837767,70.54927791741173,67.47445178637071,66.3551728782213,63.762526750341976,63.61715222323399,62.984688470577424,58.070959565142495,58.210185390150144,54.482644599670515,53.09047316287233,53.39761904418254,51.2061670238272,48.750446508461685,48.50472104424135,48.797992420094,44.889976693971455,43.099930370270805,44.605765561413776,43.97678291611109,39.16753532037494,39.04497339556902,39.32863719858012,36.368632710423874,34.2040745187165,35.680693053877256,38.033208460588256,39.830664155071105,43.605299024235116,44.90761703045883,45.76638784563054,51.06127799063081,51.68850436932858,55.37205873621724,56.552133880705384,57.63387521563695,60.70116128919406,59.75867408275919,64.18751643909134,62.40791060532976,57.70063135783574,61.34658171400399,64.55748142714012,60.57081880935562,59.769373826634535,63.9151609590456,63.316504486323936,59.21363812454365,60.56896041050086,56.0202676468667,58.515811942945696,60.128407325766965,57.25412732549253,58.91464560271178,59.19438302685587,57.71229950347905,55.09953409679788,53.926190154149246,53.59308000899711,50.68124657250779,48.78648389002743,47.84893134472992,45.295037325479505,43.42456510802958,45.85384087994213,43.87461971779014,39.51799082973735,41.392762868718336,44.21951973471339,45.47356573390613,49.45546915312798,51.01198972898997,54.58345621510259,51.2128151996857,48.0900957123377,53.11856706892644,53.26669129994209,50.00776749683221,51.5720829687546,56.446220511401314,53.7952181143515,50.527065585163015,54.78628077326389,57.620761213777456,54.497345162316584,51.82161283536086,47.51500223257979,49.89869715070494,45.7652791702267,43.81507280100975,40.801079129129555,41.71917124963699,38.10455307343277,38.266337804744765,41.73252236729126,44.77404814297593,46.88836920859847,47.913357338469204,45.95480666129579,49.59775948524271,46.543073564748454,43.07532736556572,46.16675743952224,45.80738670683535,45.16897318169854,42.37435530110925,40.25204474844364,39.80748671957519,39.21913435489676,35.605712751273394,35.39082652014912,34.31290683159218,33.96260447120683,33.3248515185591,34.81983919618178],[29.86331547664523,32.80869487838939,37.42275888604597,36.39433858077688,41.855560365935254,37.652485199463804,40.08736182843074,41.5014487718249,38.738146832644055,41.368848739633904,41.302740968148974,42.62854857765926,46.10718767311784,43.412632410913595,46.47509718053621,49.23332912980229,49.97265446939053,53.49938319756982,56.05982222579278,59.4936039074355,62.72091370390926,67.16672322681055,67.30989358133597,66.85122437435999,64.52224179527286,60.26951604066942,59.15687314592356,55.088546068601374,54.75260641362375,53.59068330380374,53.68106187891745,53.715378635984365,55.037593700622345,59.11004874489929,58.938980898827616,58.5014211100742,58.23138774968526,60.47223943364222,61.247104434403965,67.46284231488679,65.48153097822852,64.38148702000686,68.95186254217133,68.89688880522169,70.87116355424294,70.1140598619975,74.13680654314334,73.02565637384471,68.81901468073431,72.62756877448051,75.1720777314447,74.75731291388102,76.61598821987187,71.28853099604811,74.70489374331143,78.07185885138722,74.15545442916947,72.10820794465893,76.74227727364149,77.67552336341708,72.7897851584125,72.5049886239936,69.55275553391148,71.05029586303817,70.16284584102326,66.58615449191085,62.45520918724773,58.950971821113434,55.883668413148214,52.31534781434726,51.52349051555361,51.90218285893854,54.07719136267821,58.671119285446814,58.21258033681664,63.995065874422174,64.64591067262785,66.35554015977388,66.86189877146931,69.37484805499844,67.58178586445418,68.63200227419914,66.90743996347926,68.0035129312216,65.20080756924153,63.0297323683172,64.36543691768858,63.44177669056071,62.80080687246236,63.42414725202843,60.52606829916938,61.59936977161689,57.58103684796134,55.05517446601747,51.23598408743483,49.21310566983253,46.02761225246543,49.453289584883684,47.51681766151472,47.51003588514768,52.38071926333093,52.26381383255466,55.973743256971495,55.11054893070456,59.98711380550225,55.671533384477996,58.002820682322145,57.65496821070983,53.35069251793386,52.747279419235895,48.35853163243359,49.7812319630633,45.699086672054435,47.76653679220155,46.755633384869626,47.969810979994435,50.346164895013,51.5895492945647,54.0387646344444,51.436063110919584,48.4996344722477,45.89827621098506,45.46231586062526,44.245129441877445,42.36261876267674,46.27017654224063,44.485067625033324,48.77215406412272,51.198430121444105,55.76682588532444,55.765267314207875,59.67125504927106,61.28829548151829,61.41202902989886,58.37052341556464,54.39481269384766,52.67575590037388,51.86195387935234,50.54784571243266,53.030674089305585,54.26943769411102,58.48941069631649,56.87220766049489,55.06230919091152,58.05539909326295,55.4384128234703,52.87151449391015,51.07893388319167,50.616714981134464,46.485492913348445,46.96292870253578,43.47301709706309,46.017961171087606,41.68330347011646,43.61829485847124,47.10647798943715,47.37184252886763,49.65088604778606,51.31205331259989,53.00369967192,54.86523371842939,56.81595258282538,56.43866701761071,60.530190737157255,62.070956222432585,60.37041284459874,62.28262979943466,63.96029178084262,61.02007156775066,57.76032888162392,58.05179982705168,56.44739750334791,59.56169579358146,60.03815480176305,60.09774857992066,60.035107791286364,57.52238971796149,62.6235650284646,63.47502893006261,64.50687806837297,64.70061454398807,60.03664812760737,64.9310491620451,67.62085934543136,65.27107277096283,68.52047758053033,67.50181107617597,71.85794934431495,70.0109665638215,71.4277324769104,71.19495132655634,68.06948799133679,67.20575649252014,64.72085934619327,64.69751204145405,64.27035547412902,59.354718644020096,59.58690744803341,56.00191959313166,54.37237472911796,54.92983242258868,52.51019317702668,50.00073120775313,50.13632029586437,50.44489380007535,46.33896159443489,44.80755729358716,46.502984209291135,45.66703159761973,40.83460597425638,41.022179932005905,41.372252478403404,38.1105945126099,36.15103934151736,38.00876331659613,40.362941114763835,42.27015779762013,46.18575966048349,47.24928966813454,48.16413039749804,53.51611337065797,54.275709748776535,57.86634014528646,58.76419736986931,59.700694254213744,62.62517779586721,61.43716252430715,65.97482030387528,64.42346474769697,59.569489381129294,63.05787774855782,66.49396705559201,62.58826065439537,61.57732935745778,65.64972460131892,65.3453116641529,61.2388510969868,62.24478803148193,57.74339211715621,59.89282513812313,61.58621373225605,58.74569623649402,60.17926742390113,60.473088278834005,58.72697823084071,56.29322419538396,55.279058045726885,54.65696264107595,51.680078862543205,50.11533571295386,49.09775329970278,46.3979539951199,44.77802717755998,47.4131500999496,45.29494902258688,40.91807014425428,43.17426769534125,46.0858375230198,47.43526680994126,51.31541852443579,52.695623488909106,56.435336211636894,53.29918592071405,50.04801495237836,55.02280937603243,55.44984393587973,52.232453576186984,53.59940723538855,58.64799119333402,56.23513500304139,52.81110736382939,56.924502802196436,60.00273691271846,57.03980872208146,54.25468548542435,49.86103864860783,52.502822834663924,48.34021304605452,46.49724289682958,43.212184839967776,43.89434250068256,40.02259892972627,40.360913326112176,43.757564514872755,46.944541295514945,48.83951149381246,49.79499141244632,47.450616308043735,50.93359850364957,47.59815981898768,44.25082928678316,47.0911379964898,46.828360291317594,45.80122966516859,43.15629079008308,41.357382867213666,40.61486240905798,39.70530592608175,36.54688058364073,36.49321016593257,35.060356087305415,34.6343390109343,33.98954709316144,35.551032754374916],[26.101513927072602,28.855919382452402,33.34007876546836,31.936543516549968,37.38200999374836,33.25579681536267,35.593063559910995,37.19045032544639,34.36699841091735,36.86803960397387,36.938990048031485,38.46454258514582,41.695953172241204,38.9245865837112,42.172718887262626,44.913023918703395,45.459956173612035,49.03170170963816,51.5162221398373,54.94579034234461,58.16501393366992,62.61300090916134,62.69840545955897,62.181648591302555,59.82924842656487,55.60226875550028,54.4759361289942,50.436812837854795,50.22401722075163,49.17890977591101,49.46164155839782,49.53691134515725,51.05844417303248,55.09351550005516,54.746473020949416,54.148483726333424,53.88375852132935,55.94005792294127,56.62362222908014,62.83886442164743,60.79059630426205,59.752911942961646,64.32237551451355,64.19050669242192,66.15023843972736,65.33880430660487,69.35518131860661,68.2796560823571,64.03298406436234,67.80436092009269,70.40449535629158,70.00399150794289,71.91147118295254,66.59573977015229,70.10066588930997,73.44610650198078,69.5195623250496,67.56999433786282,72.23543034851564,73.09896921667095,68.27069681517646,68.12435786892229,65.25808642933059,66.73557586178556,65.72158396429566,62.145769602178234,58.03781026744984,54.577353316333266,51.48072163568268,48.00148674533495,47.1776073470886,47.7029361304946,49.90932598578163,54.4348029299108,54.007533876542745,59.91061562562938,60.39216771359247,62.24726353736299,62.6242647673554,65.02482918001597,63.241340952084755,64.16504874211897,62.508096373687934,63.48237372864585,60.60968177335186,58.53005008134565,59.87895250994834,59.11961031387871,58.444328470620874,59.30294227800995,56.38819757077626,57.624944518675456,53.622289923698865,51.13771076242216,47.18464759986095,45.326361658262215,41.97529571948262,45.48434856993306,43.516024482967275,43.76324168638001,48.37223109774078,48.28847542996323,51.80572666208295,50.94222645406969,55.70204350629223,51.3745501660521,53.804450567497476,53.37403960919135,49.10568756508597,48.55179640607408,44.06276200524555,45.31962820612491,41.201715965392395,43.13024712321365,42.11151751481828,43.23412836014375,45.646072446345855,46.82356507011464,49.3724146506572,46.839422435314944,43.85865219079016,41.24340837498384,40.69609759964238,39.49305732080668,37.664615615322674,41.57476608507789,39.98199559746061,44.22609464086482,46.744143237162874,51.319496899993595,51.30840662379771,55.29325264107429,56.76889173884713,56.9428201857746,53.775019866408165,49.76063070190827,48.05514685633608,47.12900812615095,45.75439862668455,48.24312777976673,49.44322206489593,53.67216779104063,52.09794980756786,50.29366339194784,53.321463566700224,50.78984013381185,48.19434549184649,46.509587095182866,46.12033356451182,42.064012190521346,42.7221744189855,39.3746887975588,42.19068239449159,38.12232971367379,39.929294557149994,43.226760366547396,43.251467321002266,45.49736490781086,47.013958440027146,48.635617700290595,50.30552128070956,52.23735614190251,51.724929891279444,55.85320399410983,57.35063940977061,55.582280567673806,57.54311686384146,59.20265493766661,56.31490001600043,53.01482573283997,53.34269017209544,51.71331424739779,54.882605654110364,55.42744030600713,55.55569146525886,55.623841113717134,53.131545919178535,58.324420683970985,59.00962418946334,60.08105680527687,60.134813414495966,55.5639561554707,60.411244910862045,63.04911876154562,60.63497676696332,63.84357567598192,62.802411135338595,67.15167544836399,65.21937146523715,66.66050653483347,66.42608603618444,63.34081957269095,62.521631753977125,60.091220911896016,60.14496998121545,59.81082942325638,54.90687655992737,55.28541839965905,51.79422439101121,50.19242161514435,50.98353632302935,48.61218531443032,45.92871496504359,46.17824822270297,46.73452494326241,42.5398830873242,40.835769311433346,42.836740510805704,42.2445639128533,37.15231284781816,37.44857521912472,38.122942964165446,34.76812269320719,32.60362951588534,34.81622931024087,36.94945503337133,39.32522355503628,42.872624640981684,43.87847311936756,45.08525624642043,50.46079741920364,51.59412282846652,54.98019002715397,55.7766803895313,56.463216253367946,59.33788633252328,57.94775161917479,62.461452591561354,60.99002188975659,55.91623789708436,59.312758581700855,62.78470121364857,58.83290912688101,57.659720644341114,61.66298630765161,61.42801843042642,57.283767312583876,58.050166634483496,53.68082059380259,55.79412515169204,57.64432754771555,55.00859434612166,56.47901499880177,57.04718895688775,55.12661725134905,52.55355459422172,51.87843294167757,51.31715746239426,48.079787408279735,46.60697008942426,45.896639976596326,43.17793765302038,41.410937366274794,44.36738548369458,42.45377121359703,37.910971866908234,40.21892492435938,43.36207924698923,44.47441375351945,48.31319265692926,49.41952653040531,53.224594644129596,50.26266249259599,46.67316628748735,51.559006560917204,52.14225452970899,48.87664800831238,49.92919189993972,55.145249962998335,52.84600320488571,49.16303501366652,53.12728484726159,56.41905733595784,53.52115129324583,50.5700049012366,46.0707453201555,48.86899315742881,44.63161848658385,43.05657130786497,39.47016913032828,40.109655886133645,36.0953485982402,36.34340580740053,39.668674852676226,42.898905353817206,44.664597179927426,45.72976433788783,43.186357141967385,46.659282070363275,43.19159740691102,40.06819961986958,43.04445325553099,43.02088637622788,41.959101919206006,39.07682806851514,37.543135790790885,36.99378807793392,35.71004920412272,32.53739807050793,32.912914304089014,31.62594822612914,31.360198734179583,30.875781879791056,32.56125022198663],[30.857815142524114,33.56068161396515,37.88042556439158,36.04539285765109,41.29143492973351,36.841529808508476,38.712391895902925,40.089982815472986,36.758390646102136,38.860324460123906,38.45096482723787,40.036732122234774,43.40586021551427,40.3155878101935,43.1335481620332,46.10145728021781,46.83375537460421,50.022603575770376,52.354527492370174,56.00582460334262,59.026103840725625,63.53534190525774,63.62844306916333,63.19453419909201,61.11299657992628,56.76080386795336,55.96758580942496,51.981328583624894,51.622869832902964,50.687630160732404,50.20260556964377,50.794124638549846,51.93861641109539,55.760835472762174,55.80680689090357,55.26146803360887,55.43292462552294,57.48046407811009,58.388811444532166,64.7270832028059,62.617730208196896,61.09248716942868,65.66928310398251,65.67399818811137,67.46839298037848,66.82722295475088,70.88196096779184,69.84812817560557,65.87795416164992,69.86028400499112,72.34182055257044,72.15164601036923,73.8308323317606,68.5023779651695,71.92362608286514,75.02871532794539,70.93926898535605,68.95114844352337,73.52049245752914,74.25925609559289,69.24380586303567,68.80040038731302,65.84702992168148,67.05507651322216,66.32750239409589,62.9550877500662,58.5195232477436,55.14056978928722,51.85545366310719,48.31196805873024,47.360890350424576,47.41442231327615,49.761992456964265,54.36973154411518,54.20552955492642,59.895131978524624,60.87522974504876,62.64265963855083,63.40120951299367,66.07519320648618,64.6305087141898,65.89420831593382,64.52204872664166,65.7425678486979,62.77005044138397,60.44691068742814,61.38192479494439,60.57518063763671,59.47559541266426,60.03721040430599,56.876662656465285,57.65002855486582,53.71635188001326,51.42415766938493,47.74872206091224,45.524944589865626,42.49284521263624,46.3918353497073,44.8247423441811,45.35127235846876,49.990602182912596,50.54431314240596,53.922148877921344,53.632456157434845,58.61121164773511,54.54165007784846,57.28241093814873,57.06554495723116,52.94385674359352,52.115387942363476,47.62894571676254,48.461223290117175,44.11262140991369,45.870090305213104,44.27555159439713,45.3915669739504,47.38383780774699,48.56734490965687,50.490400636629694,47.96527212398896,45.03728951809613,42.70057991759497,42.555610687173754,41.725807602320174,40.26616280568779,44.547986806332545,43.3992155737258,47.6296607724533,50.37780352475,54.786519752955286,55.13977275997308,59.16760766112363,60.4332100064637,60.389146756642276,57.20125560922454,53.01304640358203,51.67514627733024,50.28670762262551,48.59816834727453,50.81687191610176,51.69353370907229,55.66524294989169,53.90361246550111,52.36818276210937,55.34590441373157,52.72630288378858,50.338078725620996,48.717403282868666,48.65398701385952,44.59578292483229,45.58368010238194,41.94079968843783,44.82847531374577,40.584959390184565,41.88544578400849,45.341599375718616,45.32938937607842,47.994409745221965,49.16842378749867,51.36144965884563,53.03093525574803,54.465263795922745,54.166886737974565,58.179482480898145,60.01084262506079,58.33796539958321,60.64572053365792,62.38508336356219,59.75618914208651,56.25286895094675,56.632270239179135,54.711558361368155,57.7648651516909,58.18205130433512,58.07974928433715,58.140853506228225,55.281799700608246,60.51004244449604,61.31328073113727,62.63127465469028,62.8353716215456,58.556287988560456,63.573462044494114,66.25553880226705,63.70835151479871,66.54621437137607,65.15468807029207,69.55781391050306,67.63084849828002,69.40884009999577,69.4034252379521,66.35309950644717,65.86661323254734,63.62166239448119,63.88078934671108,63.81434333278424,58.94052320514607,59.50805860492383,56.2067810286125,54.43859045646319,55.539499198426554,53.00310320494626,50.226598393871875,50.8342219429033,51.48060549728746,47.129009526145836,45.573014586322735,47.800143475125935,47.11101960557494,41.98817436766283,42.522397161561436,43.29483684843814,39.74045198691712,37.70221891676241,40.17781989775308,42.25106798464347,44.74978350038392,48.27291556052165,49.16958160203965,50.45447410050242,55.84492265219373,57.05354127651235,60.38390563165525,61.00770440109054,61.56711166660105,64.31939982035209,62.710900400301654,67.2908328777271,66.01012195406811,60.80017408166852,64.03865436853053,67.6702152077259,63.769490423456176,62.4007775262428,66.30252000846299,66.28399692634734,62.1323601496038,62.54451185826283,58.31333648760865,60.13360770229298,62.1069548352083,59.575591097223324,60.84173423806487,61.46183759519357,59.26450660758679,56.85905844751487,56.394501029448065,55.56204580413393,52.24949477811073,51.121366894096866,50.3711960854833,47.529680187294325,46.00352395980539,49.140272159273444,47.116464675302794,42.59141119862865,45.20394037337351,48.39201938600472,49.57328291938548,53.31260766382089,54.25367414456326,58.18294425989179,55.421612962810634,51.72173989640436,56.52999569235058,57.32778120927803,54.090587443646726,54.938674822805815,60.287482347972215,58.14845991503622,54.31367467392732,58.13135062631557,61.611517652067874,58.79894617982334,55.73854127328533,51.16730614206748,54.06748343241241,49.77035388380997,48.40400972579273,44.62451618969505,45.18783801524265,41.00683735014451,41.24219788396644,44.481421221213644,47.758492460542975,49.35872309080212,50.491642497938614,47.59221007736764,50.91919572254645,47.140500564955,44.29281634060837,47.06268716441948,47.208471220448594,45.73913354368931,42.97282596351387,41.86085492547551,41.0571584614466,39.34541183440273,36.7013746671892,37.323875736786015,35.70994597875269,35.342539442813305,34.83983502991633,36.54004177603513],[32.055007228168314,35.063180560428606,39.54963529940505,38.38275635652316,43.558679866232936,38.80666925643039,40.87798269054212,41.866350941166864,38.75565786274071,41.253803374863026,40.71516175594129,41.84006015419687,45.6666472359422,42.93226755395437,45.505652960315786,48.37107522281509,49.490121854397806,52.765476503311966,55.45338527258762,58.912849122704074,62.10418158535325,66.53762603790919,66.84125474699472,66.60153277165618,64.37100718714073,60.037075334609746,59.043961056851934,54.94179070811522,54.28571722701735,53.00106644653866,52.46656288474015,52.70295483017399,53.615027246106585,57.60289065121535,57.81602201881701,57.607654913376116,57.56400825168745,60.055981153318754,61.113555129858796,67.38268819989484,65.53595665286706,64.05376738962585,68.61201649206963,68.80414939993854,70.79857076336957,70.30243279480646,74.33234686922522,73.06984514884725,69.12904044998318,73.12568545754571,75.41651549366374,75.06886185941244,76.67552092225566,71.33473385724658,74.50363527108857,77.78410850833326,73.83313345463807,71.58149735674795,76.09799460048728,77.11726073075074,72.08228469213917,71.45126075352417,68.33651037079308,69.80657352977961,69.21505839556941,65.6941586576741,61.468870648053496,57.89895138430864,54.892939008854945,51.148128467893486,50.43974893843897,50.54620221416346,52.5884601932857,57.29450011751049,56.79611215976899,62.320605491436964,63.345051396321466,64.8190393743976,65.63844535826237,68.41871369489841,66.78411266521064,68.20172720182451,66.58557540160734,68.00522176004891,65.24814947652861,62.778159611030695,63.84107285950744,62.67145442824708,61.85976661639832,62.048354897596276,59.076538720924574,59.790766615838514,55.78943448397515,53.297058207515285,49.75804111616818,47.421451069183874,44.56473443864112,48.06152424069318,46.39077418870069,46.37176564418847,51.43621544935587,51.762521583118115,55.51171260798621,55.11764445476585,60.28579262947635,56.24319192986071,58.80329774769121,58.791145083398185,54.62916453579954,53.653442807674146,49.36273247320254,50.527249221497804,46.281022148978906,48.41246693123516,46.967594399898516,48.39528609416863,50.43832336806759,51.92557143539491,53.86220518802666,51.04207443929174,48.26930607404993,45.780562460202034,45.85914766010874,44.7860252304499,43.033326221035765,47.28049969459852,45.598210041258774,49.93135172169959,52.49511220646612,56.83862687532339,57.33034523048442,61.17462450285699,62.73416510656876,62.48849187387807,59.649495772512495,55.552963783407485,54.319232345721055,53.191525736019265,51.75370569005645,53.925418604809835,55.1794750443514,59.159160887458164,57.221621667669844,55.51514694151843,58.33404018661522,55.485077158044675,53.117167436769336,51.16941284432176,50.85189173313944,46.636362213543286,47.20549272917051,43.34780548918293,45.75744333743079,41.13646162401539,42.73128233473209,46.44566516454086,46.86766321650264,49.4924668748381,51.01382472695663,53.23514786188729,55.34070774876465,56.9204279388683,56.97569384927936,60.889808719804016,62.84518156777513,61.46696363117483,63.56713197688283,65.49339538199894,62.74836603508236,59.32198422014922,59.48885061386444,57.58198289488862,60.410425193171456,60.62210691103492,60.37008890926727,60.12804360560112,57.30824217894815,62.32927172612821,63.45951462756065,64.64066329760152,65.16952091136429,60.632612443901834,65.76868237850212,68.5922533270029,66.21529280728423,69.17673830491482,67.9040894491602,72.34605729235777,70.73451131775226,72.35579267390727,72.38918672620598,69.17045812706475,68.61599232870104,66.24651317995021,66.33139094627126,66.12780199868321,61.23853901542994,61.51659147232935,58.10783880231521,56.14549122770768,56.945936213367915,54.21896685873211,51.72811855685018,52.33864070466909,52.57461614477364,48.27327248290945,47.1774987443377,49.00053216471956,47.81515800130721,43.09471275345064,43.66499581811857,44.00024579256962,40.40749003687571,38.81386177309054,41.05934568334324,43.45787497975753,45.35433787203834,49.545813254919,50.265828191818954,51.162979486342756,56.54766050747139,57.42603714993044,60.889754470926384,61.399321201963666,62.194311623669364,64.91788068794942,63.45470105462811,68.1246668328088,66.8781957590899,61.91638219574167,65.19460662148815,68.92148276447253,65.16820421043658,63.92351878081281,67.90609051800138,67.99888568780048,63.92386664189857,64.52066269625911,60.055782960882716,61.71611217256071,63.45158473989676,60.60496774473872,61.70895115411035,61.939316545100866,59.9047259281158,57.770064217154456,56.876559791885285,55.86465232513402,52.897710048519144,51.75634187451955,50.56169919065818,47.70740486211065,46.47362437976055,49.26786363450385,46.94283946923395,42.63516573479183,45.35013740043071,48.287261269815644,49.80713874545838,53.52298582080824,54.722741910378744,58.644466551691366,55.81034901713943,52.50211675524834,57.38743277933245,58.155187511551574,55.036914953614534,56.2187480899221,61.42096253326518,59.33808913769457,55.80591478327096,59.735345030944124,63.07026239296165,60.34894173484674,57.485271698268264,53.038553658204584,56.00517484878015,51.87197734922474,50.07271684977386,46.53798715235807,46.86721412666215,42.73914605634331,43.38555885468798,46.66493672420402,50.02166620058545,51.62805363701711,52.40136111501484,49.63263435683937,52.859555524068654,49.24878979795669,45.98548513329972,48.40999332706433,48.19267077975064,46.68765621605726,44.3517378433372,42.90578260128414,41.729013028864955,40.54882849292247,38.01852321167417,38.04558184705726,36.15672633086081,35.600476944242544,34.92946577280085,36.49851830575878],[27.744426387511986,30.809272910180436,35.22169782759537,34.27190191875375,39.26357504680165,34.26137559650036,36.34977554983993,37.13523727896342,34.14511585565991,36.87251996387572,36.358545864592294,37.27371763611044,41.25249154234356,38.78194550525888,41.3405052005618,44.08473580809092,45.34748648189331,48.77298781686691,51.726615069978116,54.986797617201375,58.34575517760188,62.70399983346295,63.14823055225789,63.03353243141062,60.61762630458517,56.33685161352452,55.1191359480322,50.93511331750567,50.130265560543464,48.64154327917183,48.321040086661526,48.246923803994825,49.20762961500196,53.32629926091599,53.45453667601,53.36749100154133,53.1084877659959,55.80946189327169,56.90339608198645,63.10102016842211,61.427377402919134,60.07762239098029,64.6157324576654,64.90401610149192,67.08689219628067,66.68112765956934,70.67376802066349,69.21445606653089,65.26220521841968,69.23804961257962,71.3890376712282,70.9032670562953,72.49096047832661,67.15178974319723,70.18507440484129,73.61032990555023,69.78301960119363,67.39155827630226,71.90299894084599,73.11256546358729,68.1251851881127,67.49901991712534,64.33938203783181,66.05170443923836,65.42125661553995,61.742577078395676,57.765360375822866,54.056344879397,51.29763857723834,47.46258671766016,46.96138486462197,47.3258264271943,49.104973582625654,53.82237327495577,53.01931760007665,58.56273797823143,59.38477508622798,60.769533188123404,61.46062234238839,64.18936874489998,62.37420421102295,63.77266804581278,61.99843211153735,63.46860189979266,60.833794414404174,58.32816267755798,59.53981189700478,58.223162688390296,57.65954388073781,57.80196625084841,55.00045449938036,55.8984063045489,51.840715074496686,49.18950200860783,45.580349473613516,43.36045063237351,40.43276107995968,43.643786898949784,41.81337653105749,41.59275331378526,46.74188051273008,46.88839137447317,50.753062374384534,50.2642438697323,55.48057764981168,51.461008656822194,53.98605152207742,54.08332852565604,49.949386722317456,48.86014991735711,44.657061682355355,45.911869881078474,41.71472197864789,44.045545093940724,42.71964083186368,44.357526498014614,46.47604643754541,48.20107763373053,50.26555079806872,47.2255208742863,44.56167266096521,41.90701910303535,42.105396216374196,40.80785494432137,38.84070977606337,43.06609297847981,41.1097988061748,45.48066912997514,47.9776144778848,52.23964175027053,52.896456932548844,56.63983295574901,58.3027074677247,57.89766298882894,55.26211330899458,51.20548948415002,50.14435942332627,49.11236445028515,47.85002424779573,49.94256976629891,51.533809366445766,55.51078362481625,53.43425256842502,51.56591348827909,54.26367431063257,51.278031255904374,48.905621431983356,46.76196163026768,46.28897354059568,42.01149587696948,42.403720403926755,38.49640639854864,40.789082188469614,36.133783106361996,37.83808659130679,41.57018639289166,42.105337005324145,44.66383862568176,46.33873894996928,48.51703971550492,50.81947547197869,52.49873838320571,52.752742144348616,56.59648273769393,58.62081916119183,57.485247270345226,59.451472692859255,61.55380014201638,58.785693125599344,55.384673067156655,55.372193046492775,53.42938896578347,56.07561648853194,56.15737185587257,55.83184834617825,55.453953375317724,52.694397909190045,57.62649183044154,58.86879185863443,59.968144871215834,60.637924199696556,55.98781162925092,61.18225805517601,64.08119630265548,61.794372606671516,64.8081820352459,63.623519696474666,68.07739050543087,66.6955119028458,68.19977908023961,68.28698456147853,64.9478778389656,64.40069692193038,61.98997680887556,62.011784118064185,61.816939554222444,56.941648738606034,57.12143140827784,53.76107481127438,51.616721745955054,52.44365654181246,49.57058041801782,47.143581877485666,47.952458304519624,48.093858484716904,43.720743479672336,42.919173902074675,44.73884800891224,43.343319153444845,38.71600623441973,39.512235211931355,39.826917648806045,36.04764513598014,34.70760595667016,37.20869795286447,39.63819562113688,41.52206087380597,45.921099663099184,46.34245220181862,47.22896539104844,52.62204060833278,53.64398334948237,56.9685303246066,57.20984543476629,57.888543788108166,60.49569465930336,58.88972458854196,63.61793784452286,62.53412104164307,57.5293576906404,60.69887671352934,64.57690138476237,60.93306318108739,59.58420088804116,63.530172140192064,63.859434476759255,59.83158927543588,60.262370933817095,55.75589423703945,57.16358348041031,58.865406171371795,55.983441690880134,56.95335492258042,57.16259813840561,55.03905090294397,53.005435182129276,52.15040362163954,51.01718271784674,48.047592987164336,47.0484151099316,45.814500784965404,42.90916395519216,41.801526597683505,44.697483679032956,42.33743380616507,38.02877519255515,40.954563805530185,43.95288010591392,45.50018208194737,49.11659932149083,50.18752345236264,54.19690384137789,51.55295781261814,48.18589803907912,53.00853176805445,53.98162404397756,50.937013273868835,52.014442690550574,57.29048327223798,55.453347677822734,51.88398036545219,55.692631925262916,59.178196608227964,56.67077074542878,53.79246141116015,49.35703619129108,52.618972513179806,48.586713538024945,46.70940941945575,43.02798567710461,43.00850329324359,38.7431655321441,39.73933908548594,42.92609905836799,46.41752847031452,47.814382017739405,48.33800753607505,45.39787803466492,48.46802264873711,44.8333475532378,41.474074906436456,43.67246631957048,43.411692881692176,41.78493052918758,39.600731298125886,38.20855701841624,36.86728017138111,35.69669676030532,33.367755308616985,33.34701494042142,31.309960135632878,30.75930799103496,30.134504777828237,31.791520400824055],[30.074468288832254,32.90853917891076,37.036274412158775,35.465092040983734,40.221208755046625,35.02568654459744,36.5846881511002,37.27450465253323,33.77432474673941,36.00730082271879,35.10825109134925,36.20352635694205,40.13891212740992,37.32831089361559,39.56195508041481,42.505968903133805,43.831283359740176,46.90606458918433,49.67206559671789,53.125988405472725,56.28971801602571,60.693750998866015,61.12019575376547,61.0561794275554,58.87995111218354,54.506215461618716,53.59131993014922,49.485248753560555,48.61196806857597,47.30117105365947,46.357382353685146,46.80947466641223,47.52636404604713,51.406911168361624,51.80487134675978,51.670429792454925,51.83563725143856,54.40728768252131,55.65825840942867,61.95581696961804,60.187014430534035,58.42137080695491,62.95603482533589,63.32957057325659,65.34679517459688,65.07455255638607,69.09213471908667,67.69077154080908,63.98144913819524,68.13172964710088,70.19639507899655,69.91799429417887,71.31604433847599,65.97957645027923,68.9874555018384,72.1628475835031,68.18157619844685,65.81353242522474,70.24804681605936,71.2965869316416,66.17364112948052,65.34857262374179,62.16070404457301,63.60644956497088,63.17442734366448,59.690900518928956,55.431404013084105,51.8265910393611,48.88695124845488,45.04344106086226,44.414379633964415,44.42109814540367,46.3341105291905,51.08705457059123,50.54070947738044,55.94548942991051,57.136131210443835,58.52306189512289,59.49714222050456,62.412911775624124,60.93131952861511,62.57422515318271,61.11834760368736,62.74266962087082,59.97250455099149,57.2976231348625,58.12055132491063,56.864085990304005,55.87336558139989,55.87440330299236,52.831981299141646,53.38523906730387,49.405981286195654,46.96920622491698,43.552463145018116,41.08351283506658,38.37392599292846,42.008859706376576,40.5624466918883,40.792519345857606,45.773437224577684,46.56864892120407,50.151588256341185,50.22053871803947,55.54924559958462,51.77942271737847,54.654190990073175,54.89149991663274,50.93598130768884,49.62995399531681,45.38681245791437,46.12154160617885,41.70694594686023,43.77125316527696,41.89882224710786,43.4718515587141,45.20145047218798,46.895260667202386,48.42102017051167,45.42571990916686,42.80429630301347,40.415068773772504,40.94094141178882,40.0070063281157,38.43335454805114,42.98239364874667,41.582768233266805,45.881618599437964,48.64164777944139,52.73449696766255,53.71521014039641,57.53599920848239,58.90419893784588,58.33481785923416,55.60582089179636,51.37815578660752,50.671560300008,49.14551269467009,47.562082961082744,49.392651180021545,50.66091382596135,54.38772502072627,52.15998633817017,50.54997852170232,53.2092831514277,50.19818114596816,48.01558057321236,46.00611856019087,45.89403200003322,41.687625932829725,42.51618253084062,38.446544014023715,40.980140391148616,36.38399160396969,37.47359517374414,41.20384201137765,41.5364202030298,44.46978121338332,45.70695088064127,48.380740996405336,50.54905664192065,51.73334735404475,52.107628581255895,55.850567307754915,58.151970986653915,57.075741608761746,59.386033935012364,61.5454862875701,59.05743084153681,55.45741367767657,55.514569873974594,53.29263910019101,55.85423769252109,55.85871115562789,55.35903996300565,55.060695268751985,51.97247591441852,56.98308236874596,58.225766198827586,59.58164527199746,60.29890897172996,56.00437684361481,61.309269257501725,64.20505574646737,61.75955332743278,64.39141551454034,62.86735163151159,67.35404566479343,65.93036147530341,67.76476221875473,68.06606851716147,64.78904352409485,64.5808367868946,62.38256131725329,62.64257249814607,62.755872291348275,57.932792698772154,58.382566140563874,55.267107206375,53.01028284302342,54.26570837631639,51.300233555333904,48.680083924681256,49.87074336970838,50.26492763672522,45.7238228483456,44.920727813453034,47.13280814977598,45.84628245249596,41.04050299275188,42.090327245956814,42.71020403946354,38.74689666863543,37.3618277020332,40.274155736205806,42.48341417004778,44.77522257014488,48.86145767424004,49.18024188138783,50.3270909589601,55.720816597320315,57.04848093932086,60.18135731436167,60.22893639393085,60.63574937369136,63.101808554800044,61.182278792136024,65.93178224927574,65.06215683455898,59.810211002595246,62.77359631233046,66.7944771077605,63.170429846275766,61.55149728435532,65.34805567408297,65.90273433459858,61.855021470842594,61.81944386105945,57.54331016116388,58.6718898225748,60.584622594645545,57.94769036301848,58.76385595169512,59.20974676424499,56.72915113042443,54.75448395855863,54.32547171441166,53.0021728782152,49.79960280818286,49.17422645616605,48.12996380383825,45.12415709452491,44.128307132549274,47.37891444744489,45.08648245906887,40.71393571712428,43.89569016893738,47.066569320284835,48.49442371996738,51.98514200296391,52.726877805607145,56.86312631617819,54.50922969485202,50.83743340953935,55.51255582735138,56.75700769447307,53.712081935202335,54.403987050779406,59.88087329737822,58.24500855049388,54.3899791645687,57.965613195519346,61.7368709428173,59.3364203862353,56.26690191334726,51.716640105187,55.13663142981289,51.00866991737872,49.494074524950385,45.48200436199135,45.39950997860877,40.93370219493147,41.82694658689714,44.88266285933913,48.41663188414587,49.59187804688585,50.25728171852061,46.89499534370593,49.8187170110835,45.833906446779004,42.90185015640587,44.99866653109759,45.06154291144916,43.049785178300645,40.82382960935804,40.008459726637035,38.595399819602086,36.77214732200832,34.94388978312042,35.440380179919075,33.263031873924405,32.73947209448866,32.21693605833194,33.96062107133492],[33.94744024479517,36.963781983338414,41.22948826289232,40.02219692241081,44.80115159511075,39.523807942973235,41.190660529495716,41.676765238260835,38.2811158860812,40.64646003780769,39.615265886356916,40.459002206389926,44.636341559727065,41.95794306390845,43.95463349953067,46.876280077139164,48.42666880551815,51.428298778918744,54.287705534645646,57.70249513774948,60.86711546867493,65.2408263489891,65.74430306228605,65.77531562092477,63.62190857665289,59.24512550232342,58.335542757442326,54.213051689404004,53.18579444241479,51.73423904341269,50.56954164231569,50.9580714043406,51.42095251935271,55.30997951228548,55.925219586904824,55.996072594801944,56.1509172773689,58.940671273076134,60.30522786144087,66.57289945156897,64.91262348963636,63.069685438957414,67.57876593046814,68.06464337838474,70.11269663529595,69.92543768908745,73.93392951052493,72.4665848962548,68.82697473133692,73.00704640653854,74.98089092893973,74.67075986513059,75.99411424564789,70.6647542667172,73.52532502753851,76.72510834381876,72.78417253256548,70.28766422294854,74.65371605360596,75.80467208140705,70.63743824899079,69.63559925436358,66.34805465291954,67.83292430373837,67.56265666120981,64.08729998220409,59.84630359452315,56.20028261994672,53.34370188157173,49.42064890389199,48.8593954088068,48.71642636286508,50.53365010177797,55.32675072973418,54.71843855050883,59.92079206723082,61.30519424292133,62.48970022359896,63.61939660878952,66.66167348904169,65.17209657685882,66.97376149206552,65.44939651340057,67.22371796963994,64.56081606054444,61.773397321683504,62.57037222032322,61.110961951976584,60.17357279822734,59.872228046367745,56.8803553626352,57.23024668847515,53.26600334764397,50.79775212761069,47.588397204720714,44.95502101948482,42.48577341685934,45.95547244368659,44.56637252609639,44.49578938866689,49.73039858090559,50.498680045262255,54.27430825692779,54.36733864595837,59.8143641027415,56.09405367003069,58.868224923038134,59.220882291816885,55.245109804224384,53.86488609682628,49.74357688200111,50.647027079902706,46.29023298008691,48.506024238027074,46.65301113382175,48.333410344969614,50.01820030972216,51.80018669562897,53.206405992506845,50.12967967545987,47.588921246972006,45.21765301458705,45.8666328504246,44.9055222876496,43.26513495915229,47.795483029794795,46.18254947938184,50.517609797724454,53.18118941394476,57.24135526964251,58.267113129209626,61.9962536276201,63.50938708511696,62.85296441828868,60.2860251865859,56.1052091592083,55.41535551942956,54.00128577279042,52.491994388925384,54.30367073848554,55.63887795554788,59.33647552243369,57.04653040983216,55.42696761517622,58.01494124978892,54.91182872835417,52.77665518187737,50.64191891342882,50.44603683427422,46.17865658464387,46.80053638820904,42.597141289712525,44.80604568455753,39.94892034136373,41.159657684038066,45.068928046508326,45.67690731398218,48.63006846736751,50.01725559133007,52.77067589627752,55.15751262525379,56.34871849197045,56.900975982265784,60.58010381636563,62.956915924944134,61.98642438003395,64.236254857825,66.44287420369386,63.9110171198744,60.34651570673974,60.345138614651376,58.136088753879804,60.60649881589959,60.51405789927522,59.919273812534655,59.460597969993394,56.3508560887006,61.2255334415811,62.669432865075976,63.98291291466537,64.88671229845845,60.4999579276844,65.86159774337087,68.82042105540138,66.44982741771766,69.10439657498723,67.59552010063652,72.09683758099922,70.79594664038646,72.60225163351646,72.9299538752451,69.59636481495905,69.36747232253887,67.11935226476776,67.3011896415609,67.33433526468447,62.50275405907849,62.80375621668454,59.60566405581498,57.28829598666998,58.33036760249155,55.28823067995569,52.84692284663428,53.96373729407397,54.10804924432814,49.63619667038151,49.03423606439223,50.965529504309686,49.411036614255856,44.86188883745666,45.838276688618116,46.15523995726868,42.24634921919618,41.07097322741265,43.70237808910884,46.12620843298988,47.99700039063075,52.460907451736254,52.79191909563366,53.6673798630996,59.0517989752931,60.06985589816044,63.36009025013265,63.440776135439926,64.06671771281809,66.55264810099848,64.79247377038877,69.58259176455154,68.67958866981544,63.62343316720808,66.65259818780733,70.68160645954454,67.1191608018007,65.62810037547555,69.48597156665211,70.0268198096112,66.01687281887695,66.16768905234329,61.75786926901359,62.86842935086042,64.62793956056903,61.785756995068226,62.5249774133202,62.68976215970797,60.35430700323384,58.55743037484532,57.804140118964696,56.37868908247483,53.44288062747044,52.76952548853913,51.40496639360643,48.41080090221871,47.59826248528674,50.548403281991085,48.04035271430659,43.84469193380444,47.019481854756265,49.97109429081853,51.64314232515822,55.151791045685684,56.13449532301847,60.22900877914182,57.74908580218616,54.390364731100014,59.1428877045726,60.281894381437496,57.29288232860726,58.26436339965938,63.60436454506118,61.90476745933078,58.276717035923646,61.979979657712754,65.58608662868382,63.15473505642831,60.225945429442056,55.754557336804446,59.082201725621786,55.011405108885285,53.2429470376152,49.46261271701858,49.385763663193195,45.0204926062632,46.024894575458646,49.15278429427911,52.67631253473503,53.95411459920671,54.49307442859357,51.28963196722514,54.20601593202819,50.34400762772712,47.18001185910151,49.11545498853066,48.9393068228197,46.93816964704231,44.977714320495345,43.914943542754244,42.290955188024576,40.84730738239169,39.03912659370271,39.12561172747983,36.79623042180289,36.11564883447029,35.42877153707255,37.01070436898358],[31.022888663991743,34.29145250823251,38.72767143004591,38.34999193141793,43.12824803403835,37.822570819892924,39.93830480178816,40.24197280526689,37.40107392332222,40.36533511271977,39.59389823563315,40.02479422971917,44.448316011312336,42.296658089711165,44.43731440429188,47.09686096528706,48.79682094270674,52.161156157925326,55.40743999571552,58.50214408086393,61.952449339590046,66.2198322283524,66.8748328000496,66.99247179811796,64.51426887739339,60.251715827648916,58.931735283681704,54.681065415395786,53.53554824236322,51.729659753808356,51.14149918740187,50.83886315441724,51.429901776684865,55.61961424560193,56.03738187850996,56.324686155873714,55.96411876954733,59.106496485443465,60.41601754800117,66.5293441785591,65.12136557488294,63.69118145482542,68.17764404481053,68.70859602989312,71.04231844533646,70.84352131790831,74.80078986995892,73.1172110983555,69.29665849870634,73.33152118872137,75.23334358312441,74.63931519537087,76.07157173464509,70.7473928348547,73.46909977018804,76.98998700193691,73.28750853323609,70.61467750545312,75.01434920137712,76.48264383656296,71.44579046980596,70.54153946433469,67.20395735813497,69.10899303338874,68.70686839075978,64.95367108845986,61.13721653043941,57.28396072512163,54.78919075943154,50.76914548427027,50.48839675348845,50.76898533314291,52.25269653516747,57.049212011531615,55.97767991536545,61.23571470559038,62.237508306395505,63.273279262023735,64.13110046713098,67.02941334947278,65.1238339801738,66.77412490028702,64.83446810692332,66.58547459250711,64.17328754880202,61.45409062990653,62.67217738444895,60.9680329636084,60.59372365359702,60.2511688812398,57.609094183930914,58.304295112802826,54.23465001232118,51.45390882691381,48.11584629360499,45.70599352676703,43.10076696837388,45.94319000367634,44.14725247961327,43.422147072198186,48.96227903689176,49.04881235245486,53.222472798265606,52.79759088450541,58.22965898046627,54.35702185649538,56.76009640757951,57.13701191646711,53.04838270637738,51.72592330487529,47.7893777739617,49.249010967046715,45.15130766269495,47.784397463328666,46.465772650517565,48.39383595433875,50.42049670513031,52.43434423573295,54.317702745512726,51.012197219326715,48.55060134965237,45.858093023623404,46.38738434602072,44.97068875282678,42.84614212873349,47.07582682802009,44.73478295568426,49.14470168639634,51.488646890911134,55.58847744271981,56.49238519633482,60.02126164629867,61.91535904688813,61.23676075996047,58.98278150416233,55.00691999275914,54.171112318411744,53.281512751711546,52.19523721249135,54.14191576441439,56.006110794224895,59.88470254814476,57.59436156820476,55.64643441679187,58.14518112020281,54.92416162581202,52.657873402179156,50.22038956110601,49.58238362702114,45.200972597269214,45.24236058041284,41.087361640117926,42.844134141263055,37.809481506162136,39.64879027523621,43.6434041142154,44.62801741345532,47.22816996006883,49.150522814140785,51.499156148374844,54.234544828801205,55.90133255755238,56.58052098596965,60.253305073306784,62.47858834178296,61.68949828882647,63.529882399395284,65.83432607939486,63.043284123816335,59.687030784135416,59.47143323169279,57.47521691877011,59.831569413601486,59.66199670511804,59.113766103543874,58.41713140394748,55.61960292584007,60.29229050431679,61.90695350558697,62.924593845694226,63.973518095842444,59.18318943027069,64.50848176831629,67.54791158000624,65.4166257607224,68.42846229091643,67.27608618590025,71.75383435695184,70.71497092494552,72.14665702518936,72.34828622933567,68.85629033630099,68.34369347376814,65.87346290053407,65.77615381765445,65.52371313201161,60.67818788756474,60.61185741088278,57.227099854100544,54.849585595258816,55.44811460492635,52.35090574183845,50.22431071272302,51.13701784410191,50.873291911404195,46.55769629747831,46.292551636002834,47.73912398690224,45.80682991223708,41.662902549647555,42.558113335805245,42.44260291400789,38.62028109753671,37.81178375092615,40.11247990109671,42.822194963868576,44.09473201284812,49.12839481718552,49.32420731092865,49.82192199510364,55.16111955489034,55.85230589349035,59.26536517721648,59.32449975363777,60.202715450328995,62.714872128816154,61.20216319744343,66.01607963489074,65.04071817540223,60.289083256001724,63.42470450253411,67.4302496169883,63.9835769804563,62.71106946357635,66.67756239509937,67.1966665342006,63.27699632019659,63.781357338705064,59.10945868356816,60.24591669911184,61.719701528733225,58.55916116704419,59.28118478050111,59.08538814990218,57.067105954296714,55.39924066808388,54.15871449129502,52.75302456492993,50.1671505277891,49.27668131987253,47.56425736438417,44.64261088493123,43.94659021330754,46.49302361700955,43.80293944856234,39.801279191788026,42.89595685212918,45.59909496311966,47.51289141111183,51.0283993711571,52.30812181448741,56.31384445056266,53.68674584590142,50.731589027847875,55.5622531768994,56.568007606083974,53.687114062442376,55.03633991296901,60.159189267516446,58.45348525965853,55.176996678821496,59.021868675122306,62.39493535504909,60.03248916532286,57.34351569082317,53.05050557476652,56.38877105305696,52.53545966769412,50.30038178358226,46.843172026405384,46.56196794804968,42.357346567182645,43.74823271903078,46.91278356057108,50.46204763717504,51.80266195584804,51.97531085619853,49.089193136200265,51.979693710280216,48.467000017256105,44.802952380589396,46.54776031333823,45.95655028619377,44.19276781464067,42.53675214041668,40.939872747753064,39.15180467036246,38.44602517314855,36.440440314624986,35.86442487903824,33.4724768002286,32.671814125893526,31.869894981740117,33.328007487215025],[29.11044671472726,32.260593324459386,36.396925027171015,35.85595800297129,40.2405544162671,34.55127814722366,36.311202556555784,36.273026272426854,33.236515553963784,36.120464570756624,35.075424100794386,35.32788904043747,39.93698506718208,37.883291396098585,39.717091576267755,42.364007370658804,44.30602712738115,47.56361865449205,50.971640818210936,53.966037060599795,57.44992831331332,61.64986417137097,62.45218737145531,62.74501392868608,60.24962955532152,55.9941481471704,54.65176842143137,50.382203376618094,49.00647208993594,47.081712215634795,46.25214039492114,45.96013434494453,46.38165438102451,50.54713349555416,51.10105813377161,51.52542130980611,51.226978190773,54.53652226505984,56.006530934907026,62.09363900462138,60.82245153930022,59.235891169552396,63.68338444194765,64.38381258227331,66.79565719306476,66.7895831439014,70.71254771296184,68.86596728688818,65.21730618334675,69.34154480859205,71.02821515516902,70.43550035764844,71.70640305524856,66.3957315943274,68.93417977309429,72.4300750243661,68.76145737893624,65.9476349025719,70.27403131533882,71.83895627626868,66.76390526450118,65.70305363576301,62.29005097830399,64.27110553379538,63.987600741866224,60.2125780424959,56.47984099560946,52.55471112465996,50.22769156070637,46.10708944559999,45.979842612355625,46.26985338937107,47.533436315821355,52.352917072579565,51.11978340614915,56.255546984592954,57.32017938884892,58.22614101407811,59.16630338470976,62.15661927307452,60.290621849277414,62.11494096479266,60.22093439099463,62.15344915146301,59.7938021654449,56.91051142797995,58.00899522834012,56.15665024825549,55.76181843748171,55.220203903517785,52.60859921672756,53.23003789747759,49.160559998895245,46.350392029584015,43.11683428689954,40.634234398128584,38.16272442675389,40.93040226191786,39.240765893175734,38.53929115597127,44.11216682804428,44.460402025844935,48.59338006601541,48.47508623710168,54.05365730686663,50.398857323577616,52.99164151742445,53.604735318297756,49.6817692483218,48.076837206895355,44.23753354846836,45.44469049642862,41.27390616143871,43.94976213230428,42.38774551699439,44.50646819598916,46.32659138664725,48.57308790660669,50.19398275789681,46.69074136984119,44.404025520876914,41.73514272543589,42.63463465795595,41.234715190266705,39.15563066017479,43.5555210972101,41.28978846828255,45.672839626854824,48.105107965158766,51.978143158925064,53.28864553228395,56.74554690677853,58.55201812684388,57.58140581673902,55.503225903420244,51.47069672935839,51.06633996751041,49.954058238665695,48.84491893066164,50.51823161871984,52.50932752481569,56.1936292822418,53.6605811519924,51.72688197247421,54.048861994458214,50.66352120457859,48.54073621937298,45.973921292987406,45.407667452215044,41.01317301106461,41.12996571167776,36.78059089690511,38.505313571613264,33.4190095061986,34.95376091064881,39.008054384436925,40.03484312488891,42.832141511123844,44.63631689771511,47.3027456041767,50.18500954098976,51.609294633062994,52.61131011329495,56.11861633768479,58.615524918264555,58.130420950178085,60.055320931019544,62.57474243717921,59.955118217514176,56.50632368507904,56.150067060532564,53.934949453685874,56.02136248926415,55.647123970260374,54.88631777564824,54.07579523283405,51.11182168664602,55.71402310311178,57.47913457048161,58.58298298479326,59.84174943889332,55.17591187933459,60.639508322922026,63.75763761778762,61.62386376425893,64.42034956959162,63.1273658320671,67.6327140275327,66.82098393519072,68.35003902059242,68.75326220713843,65.18631331965666,64.9128742948065,62.54837541700716,62.54309754208842,62.50404788149077,57.72307368164142,57.72778401723103,54.56534875216521,51.920618043779484,52.82368266875506,49.50774249566399,47.34299847419419,48.72298373654206,48.51270808066514,44.02867937658204,44.098765791082386,45.77918699834074,43.6852775119539,39.56899834958309,40.865956950178386,40.91477343648165,36.80042753690759,36.258955830205274,39.06082249793822,41.6433830470242,43.14489443410492,48.15986197186353,47.98991738609341,48.63453644716494,53.95517941064512,54.98321764700022,58.117533802728374,57.773462388584974,58.35665489017233,60.64365133029962,58.78013734633894,63.66005505667849,63.002695601984705,58.06476054266649,60.941316219228796,65.19163646773109,61.884854886450555,60.33311246026752,64.15274538428069,65.06311289478599,61.1933188413507,61.22004375191344,56.671990302534866,57.345216645702564,58.91287463867251,55.87529603847537,56.33535873112143,56.253805544571875,53.90027466016718,52.41199652391082,51.483860789812944,49.79648103264322,47.080581970087835,46.6161980385716,44.96270783590453,41.92116297200002,41.47755113571461,44.34290136265426,41.64830981546685,37.64447190967004,41.13627968627387,43.99117642213526,45.86355953611606,49.16968448962805,50.09786217706578,54.269669763849905,52.044072046138915,48.85425337946087,53.50249550214419,54.89731085393274,52.107487769734114,53.09994299353213,58.40535486913064,57.08553025512709,53.606095753103666,57.16349731436343,60.85860629274298,58.786298337455946,55.97267325641856,51.63678120305158,55.34364282455464,51.54524066068627,49.4794221497045,45.69421123051923,45.03051414738492,40.5907560979498,42.25870992408776,45.22372840539401,48.90944752744791,49.89258875166015,49.90134326205342,46.58209791474714,49.19053256464167,45.441361091738706,41.966977125186766,43.35994380224422,42.92255384021239,40.75109255101441,39.28343077396153,38.13706424944594,36.08150729698493,34.97219833829445,33.579783805558236,33.266505505266494,30.57907004300496,29.762423356450242,29.047450914720333,30.626678264393494],[32.7185917500519,35.66291233815344,39.49950323230366,38.49611075553041,42.565590550494214,36.65831694754554,37.87391714395529,37.586706832212116,34.10387160341782,36.51257826448787,34.975137807254406,35.2275560903999,39.90981480613155,37.644949025382665,38.94162259433302,41.74225003752777,43.91068998374183,46.74721580132136,50.05663006246086,53.16406593672946,56.462461883749384,60.65412403215241,61.516923476684696,61.953587425511,59.69155345686028,55.37353458047726,54.310134205977185,50.125393484449425,48.553386586524574,46.7077057725455,45.10646211175116,45.29488001140374,45.29889654605544,49.20731898145697,50.16836144744148,50.687676963293285,50.80779747835368,54.12954441393942,55.83671385585833,61.96672201749164,60.70591503060803,58.657797377153926,63.060348850256105,63.93895808519415,66.23095763471366,66.44230470965711,70.35837162601035,68.49031741465913,65.16057137812169,69.46216814158379,70.96022857636365,70.54514962931016,71.55685898489824,66.27613615152909,68.65820892954292,71.92089909189221,68.15042064926962,65.26704015558876,69.45232684521834,70.94384791012422,65.72758696819263,64.3507124359853,60.85064120346769,62.6237998848461,62.64017802740136,59.05618833393822,55.11255705379617,51.256743807129645,48.870101328947705,44.6909772868258,44.53238186309322,44.422913003878385,45.67149985397837,50.529171059937454,49.45380992479384,54.29411795025803,55.822145076241675,56.584171504694524,57.892565783282336,61.1385751674472,59.60028981410639,61.77140953514198,60.16951192664504,62.35259806122632,59.943627548593646,56.82055449354174,57.500288980000676,55.573482853504714,54.79620954491542,53.91262338903567,51.11619712507779,51.278652494145824,47.307408434938885,44.69034782486171,41.80493186836842,38.985101628428644,36.91980046976161,39.96967659628728,38.73520571185949,38.352573749683046,43.835038618675696,44.87746175627359,48.779868776186646,49.291682035278356,55.02355581377839,51.70944732258739,54.61848734693636,55.46119805148306,51.759833216861026,49.87432194006906,46.0967054549344,46.816891846990636,42.48690785892663,44.962781351158725,42.85062938555665,44.98968319054521,46.36029805431586,48.670528131196626,49.657229134908306,46.11761373565991,43.979544018768536,41.59071041028177,42.94456798295912,41.880906446574734,40.16618598732838,44.85740747437244,43.05462468962101,47.342836074123696,49.98155127892938,53.60562050287692,55.31892787540573,58.77694196411746,60.340403240152426,59.11675632040742,57.07184219181838,52.911847800290964,52.94171800801245,51.378650885798066,50.01030082300398,51.358780986228375,53.109119222457,56.481528379628486,53.72709971890503,52.039395070945176,54.22843418285151,50.75383194696025,48.883115411177094,46.368821281310744,46.130014804013975,41.813523642582794,42.276874555820015,37.71662801491743,39.50919182145771,34.423933526462946,35.29414411520701,39.393902983976176,40.346778116855376,43.54153531157139,44.94021008035932,48.177140759601656,51.04345244787608,51.933581268685685,53.20865349041807,56.53022281960497,59.38236682723681,59.076482461453814,61.29991797811022,63.93450957106104,61.60377866052575,57.98178512455086,57.63207157993714,55.12512977492745,57.015096319715575,56.47647264845056,55.45910701089015,54.626591331809635,51.31331967745566,55.8820067007138,57.77138830690365,59.11688984430627,60.555225988192916,56.23543134912861,61.83235502174597,64.98032699970098,62.739601793150975,65.12404603638932,63.48919131412815,68.02954542045393,67.29630371311463,69.13328101475923,69.79175593245878,66.25372142484036,66.3438543067144,64.19032611146237,64.39261479516594,64.65010673350469,59.94994988641602,60.160166195478375,57.25273070412147,54.440918949740464,55.71800843277482,52.26552814153232,49.99453013733117,51.77984137838414,51.725921660417356,47.11205817553816,47.30576949039927,49.279101312333786,47.184405586466234,43.0235890327283,44.575588527022916,44.8312076831325,40.56088760733629,40.07222472192013,43.20429733113827,45.62477168031115,47.39368769063949,52.21860043714354,51.90667165708717,52.720407736201906,58.016657782739685,59.26703280486836,62.22873126684382,61.64808702272974,62.00032274696853,64.11185422714298,61.953250880941866,66.8609973274618,66.4564966796367,61.345418410271996,63.98990022472673,68.41019445774252,65.18384124618149,63.380732718771306,67.04232682592848,68.23243065244026,64.37782547065481,63.953015021388495,59.60737574436091,59.91835562197742,61.63576928324443,58.789765567838295,59.019514435453814,59.07887944960941,56.387698611221246,55.070725655962576,54.49165679194788,52.54335242907529,49.70192637475547,49.65819287813154,48.09415020970815,44.97140063594227,44.74422037853686,47.86738215469437,45.18795217806359,41.22526784050888,44.974599332989584,47.918438159580184,49.739663529798506,52.8800606591227,53.51797204136625,57.7979946201852,55.880043892208924,52.492590564870795,56.97531300038027,58.645925907954805,55.901761801228844,56.57128112107605,62.025004487248225,60.93791085532334,57.254476498544506,60.581430374704595,64.52406529627304,62.595674626332546,59.643340535581586,55.236396742180325,59.105281703045364,55.258266626268416,53.46467238097543,49.419991316059985,48.64795748421257,44.049647763018875,45.69180273348561,48.51878144041835,52.24717990926736,53.0019455551976,53.06421475606614,49.35750821612503,51.75762004402786,47.71207291771937,44.61099109835417,45.76990879328213,45.582641589749116,42.993070892543074,41.63695346029699,41.03869727252156,38.820797515949,37.17376141639143,36.381230716067996,36.465451254566084,33.592300684545954,32.782478663478,32.13518479149056,33.70776545736938],[32.74225149387322,35.43331260950351,38.96089129141249,37.5124493782744,41.297123656573966,35.31364533106248,36.09890876858217,35.73373960280211,31.932192482872523,33.952359110351225,32.15947273707538,32.53008780456616,37.11916381718885,34.67739932712719,35.730340986424615,38.62912172088346,40.830160540509546,43.433588630979905,46.64534319429027,49.82325287649971,53.008729282930396,57.20161385149127,58.067718149171895,58.55757380922922,56.420961749994085,52.078855371824986,51.17577025017208,47.05879788053647,45.43248833546312,43.706362396463774,41.74236776941292,42.265243504689515,42.15490730121763,45.89516459944659,46.98185344103766,47.446330041486654,47.831952722842814,51.04271242606128,52.84118970685758,59.00058804035787,57.698214557931514,55.41033267399196,59.789161162384644,60.72879731974243,62.938387176414246,63.25186458625986,67.1601675488994,65.30086645293703,62.139466865721154,66.53158024930138,67.94544786541884,67.65142377728746,68.53708659483851,63.27779691185938,65.633581488229,68.73741133542202,64.89164931377756,62.030257989030524,66.16307274940796,67.55739365998575,62.28328987195484,60.81058695795289,57.311598846638134,58.94340929722203,59.054073271149576,55.579052203068024,51.5103046054615,47.71569976359449,45.26848356598797,41.0926148633684,40.8988611307385,40.63254664220932,41.89544673626869,46.75416146741625,45.79229955239769,50.565550755649504,52.259991006123784,53.047464215559756,54.489739102629244,57.81874052423269,56.48713249206497,58.781948652901995,57.40203611553775,59.65804427900424,57.167769018097204,53.9555903071283,54.38845881502727,52.527748173355,51.48619620934178,50.56323532383766,47.62521329925088,47.62672164680999,43.70446113532327,41.22442783883913,38.436254055430936,35.5010921148772,33.55543284281722,36.875870425615034,35.90327844883217,35.91325332999118,41.16856309368524,42.6708044180425,46.301269061741515,47.19992956848352,52.94902610120574,49.83358539011412,52.99236508546311,53.919008960494686,50.38643712018155,48.36125891829664,44.57830319877681,44.89071753146936,40.45234239432224,42.72019276030487,40.253503486967304,42.363026297002314,43.45821141899329,45.78274361683776,46.42012776370231,42.88635151546818,40.82704635137578,38.6102565735058,40.21749131442905,39.37280323908206,37.92423358092922,42.78172531377673,41.38051533237312,45.565052719925454,48.37104501038035,51.83080029799359,53.783523318635844,57.2710134698287,58.60039754824837,57.25689643587657,55.16529586475999,50.91825561887888,51.23717411323432,49.340322403014916,47.791164332363444,48.917884145657084,50.503984828962885,53.67000305411622,50.79886179167212,49.268361430897855,51.38786913611577,47.90312818931144,46.17851657834656,43.75899689437614,43.770605245767435,39.55260768604544,40.34614128186368,35.744153402737986,37.759680384811226,32.86191240487997,33.21945680614239,37.22231160754377,37.96105024689482,41.38951751073819,42.439616317370074,45.9909065926002,48.72762454350335,49.2698280813617,50.63798701776159,53.85794040432056,56.89211266595603,56.67100097611065,59.0990971373466,61.789293678596344,59.6741475560908,55.94014101912339,55.610025314661115,52.91434362944912,54.702194235183576,54.10276462631604,52.97093055802903,52.21039479597589,48.69434142643289,53.308908252633536,55.16093975474233,56.67978472482504,58.12899025254407,54.089480258080314,59.7283219850537,62.85566682112055,60.51566768511,62.62102430060534,60.7687436579366,65.31339410142164,64.58222485046831,66.61907803612671,67.43164627755836,63.939208642302475,64.27462756341599,62.285677271721006,62.65859485136144,63.15054255221055,58.52335463791489,58.937838536019825,56.2524511705818,53.367023774516035,54.99478872199606,51.50496842397914,49.08108828545093,51.168178847286164,51.343974235694496,46.629013059176785,46.81328123794548,49.107652469655406,47.15756204330751,42.86134229041898,44.61821927338604,45.158857374661096,40.779710185616814,40.24154296104191,43.716209376567214,45.9100586373541,48.05032086383284,52.54597695759796,52.120883795281514,53.180311385407705,58.44358437450462,60.01809515010362,62.758989886012806,62.00738838912639,62.08803192289642,64.07084453484285,61.63949355117444,66.52966748772702,66.3071084296912,60.988827249732914,63.44120512598036,67.95669056783017,64.75949948524834,62.728499566788585,66.24275096837123,67.62569465505302,63.77715789690417,62.95531877766076,58.82526159200116,58.90068786885832,60.79285198835608,58.190667437098256,58.31651548916268,58.62951548042557,55.64645200649287,54.338651518160496,54.170094560063845,52.12527877195303,49.056035267038624,49.3076096968776,47.99125438479372,44.82279208648456,44.62862411712242,48.07273639437677,45.53985120817852,41.518823012027426,45.41770491740675,48.52925092726968,50.17314054993888,53.18678537239382,53.50073185242687,57.86020480933805,56.21571084198218,52.54099328615009,56.8571954374512,58.76084861844076,56.02790301672237,56.33533693886388,61.93976837878572,61.0503473433952,57.129754621439396,60.221332855885336,64.40205717680217,62.6012694040666,59.499742563227585,55.03041233877948,59.0525936052625,55.17474207723437,53.68153799566957,49.373506658567294,48.504471612040014,43.77836559499021,45.37083978864476,48.04158708662389,51.788238045102645,52.32191759543248,52.46123512902108,48.43133713594301,50.67618523112083,46.39479717288703,43.66511458859054,44.74078930320105,44.845210652637526,41.99279265195544,40.575444675581686,40.46975388713303,38.27287590136474,36.08292893741558,35.69086970578263,36.238605863681165,33.35334910444788,32.63091293439409,32.1183960248201,33.77280785735426],[33.72959849661139,36.634070353411104,40.18952321639104,39.510638943085354,43.08664233472385,36.870634630694184,37.854194990403904,36.98583916951445,33.61668805510522,36.107330199576325,34.25382275764122,33.96328493087268,39.010697773469694,37.16641810880213,37.90917482086717,40.54320645223112,43.18442722345197,45.89141353622872,49.52927201101926,52.35445697416649,55.74189657457251,59.75915481115713,60.890028526899115,61.62180177760311,59.2778704194095,55.04634738599589,53.85072933540517,49.65127896106775,47.679813097800995,45.50803899245613,43.62504431856414,43.57050357408225,43.18180322591817,47.10237513266398,48.34376919485242,49.25647680314787,49.2894599954988,53.04537957180644,54.991938177004215,60.957191499261526,60.02751670194197,57.884167957671146,62.17365259203893,63.33986734274061,65.81265293071398,66.29850070267881,70.12472017272349,67.96944145696254,64.85857281658032,69.20296039971826,70.35264136623492,69.8337309055391,70.62873843281068,65.41429077337817,67.40855173621503,70.73773099014404,67.13878016078317,63.96013627653275,67.98404749837887,69.75832036778841,64.54148553333134,62.88116548073729,59.22430736235566,61.23879083550635,61.480001485808664,57.821081305822084,54.16016491417226,50.16711781350764,48.185565428124285,43.856139310331166,44.01984605748052,43.93444075095971,44.721039527470474,49.576443511800115,48.12572121761524,52.61584266792121,54.24567196279817,54.630291242472374,56.07070834123358,59.456309768578286,57.845971431696,60.28303083674712,58.57233680624634,61.0563181481456,58.89446198010784,55.54623657508841,56.18192997359389,53.86395416792353,53.28271699484949,51.90478407831694,49.32564081386497,49.33124806974294,45.386802587026125,42.64672141287642,40.0815087758411,37.14322479039635,35.46395741261397,38.033690021077696,36.89935089958728,36.11041750386093,41.824370126742636,42.95876457433493,47.017484471409205,47.76019849882199,53.66347034590387,50.65107249163521,53.548584946597536,54.743766339696506,51.23893312663881,49.02799847150393,45.57782725579426,46.281793130606204,42.07688404488805,44.77554554101558,42.592957648817375,45.05242176644943,46.2284867861954,48.893957682938996,49.62337812487968,45.781901916760305,43.96557549351635,41.57329249100531,43.37023115478214,42.20211476383178,40.397895140621735,45.07786605777675,43.04152960119805,47.25908084314246,49.78759630362775,53.087312450037956,55.222513501630964,58.42894417812539,60.0951362137184,58.49031553783778,56.879077000795114,52.80858878050023,53.27816745424787,51.72629505933769,50.52584137634235,51.58207470732682,53.647279434538525,56.799511394840884,53.761519698938976,52.009266086877325,53.89042107609533,50.17268316227428,48.494077294982546,45.69125376927147,45.35212136012975,41.03306956336856,41.25344831897628,36.48890642086265,37.79923177480471,32.530567399828456,33.24915316744808,37.49182551719286,38.81078701055513,42.091588790031835,43.58933752776147,47.093417578301704,50.35219379190868,51.08990110395507,52.888665597764955,55.92957841430332,59.068194060660716,59.23400698031898,61.36149320419766,64.26676971704748,62.036926108663884,58.441725634921724,57.83964019897981,55.19599885472436,56.66246031752436,55.80408659255671,54.495417212347284,53.345186000853886,49.954511245293034,54.209369627719894,56.46632632975899,57.77605894075109,59.63186010287737,55.31684447042968,61.03611827097556,64.31181871321087,62.21780816327495,64.45784647254219,62.79656874479441,67.33422113471747,67.03444009162438,68.82969624760038,69.68740571812978,66.00770086173219,66.26111310183263,64.14339967389738,64.30418255297768,64.64663371400883,60.061528774443794,60.131583857222104,57.38644663129894,54.26562959800137,55.570435850186875,51.86195484039985,49.81079374816204,51.95454339836444,51.66208854017977,47.04987564110871,47.82860012798318,49.67486705776355,47.154141429458605,43.411062211043536,45.2630544966651,45.34970161391593,40.9493993249703,40.98194607925405,44.25311729876412,46.72330266296597,48.23304552854078,53.37767912170844,52.67457714062239,53.32828608215579,58.51208665712567,59.771178833129035,62.564244921296506,61.588508969811464,61.85543290791609,63.72273716930463,61.398879641772126,66.36270544274049,66.259843471095,61.23748952541891,63.652076552903196,68.29108963472854,65.32356485100904,63.398391398916246,66.93950507546825,68.52103384913912,64.81044725824846,64.12093518089499,59.78294389304574,59.58538129773212,61.187404910665045,58.26689957564058,58.140063388209256,58.00522214029275,55.17892044648107,54.259028467620595,53.64931792470189,51.34551992147398,48.71773181675975,49.050514833705,47.240224805251266,44.084613484194406,44.31327970635334,47.373842959867986,44.535062658929974,40.8595648820316,44.90818766698644,47.71633772588361,49.705704832322866,52.58274097270026,53.09571723985782,57.43209503685435,55.834763614608306,52.59627407697797,56.89589113775453,58.8398337152182,56.29862583065487,56.894208118067745,62.3097795608509,61.58979779497245,58.00191742726956,61.12186325905743,65.16936280818713,63.558049615545045,60.67599707184074,56.38435075666546,60.51511432319855,56.863840036682234,54.95979120279913,50.89747408457031,49.70785661286996,45.07552254002238,47.137839003416815,49.776170135249416,53.58443779657862,54.056925376204724,53.76060932690452,49.864893745733845,51.914778563360876,47.87399034149916,44.73237933249784,45.31314147445164,45.00539215756158,42.09537110060768,41.26981185173814,40.85112431885077,38.205883211080895,36.65195958920006,36.51766971148798,36.412195306370215,33.20397664822279,32.28742434276284,31.629317782819744,33.10089672607079],[29.96681344778928,32.991713647051895,36.739945027074434,36.30433481672362,40.11225774117551,34.012860743246726,35.3715424820808,34.725001799872395,31.61567682094736,34.458292589590144,32.99015241512755,32.77553454765231,37.75312106384594,36.00231141739264,37.23698714403003,39.791943650883766,42.207901847770536,45.27119610957031,48.963023521471186,51.74334579105256,55.27717599840766,59.33357887237866,60.38793367783455,60.977221294442444,58.454493741308376,54.24988170605227,52.84970767914434,48.57104454091216,46.788331132204384,44.59354797436425,43.34934473463059,42.95891431255969,42.97446365313548,47.11398380904361,47.98022434026838,48.752246288282805,48.47811033043312,52.16980698929661,53.9111408117209,59.885171786773334,58.901622780684214,57.112450973553365,61.462937483666025,62.46013398204066,65.01137278979526,65.30629737586513,69.15450304669962,67.03994400483425,63.660289855578434,67.87737417477314,69.20847418557055,68.56977791289032,69.58674137081503,64.32878886977589,66.50093900952623,70.00166890784944,66.44807411503349,63.358569564031804,67.52618609438143,69.31774286586038,64.19953800161362,62.82986199226126,59.26037502200292,61.409512527894805,61.37515847682642,57.56486864061285,54.02416332926165,49.97990670637331,47.987660369927596,43.70632861570155,43.858198237978776,44.10459853063113,44.96138659634487,49.800436838806434,48.267619616450595,53.07484595900841,54.308314615608914,54.87986849033768,56.000931153928995,59.16778519940886,57.31245334484748,59.44758376125277,57.53491116370116,59.79171490468271,57.61870758315887,54.471056574048035,55.42937217454064,53.227769470538135,52.9058667881745,51.88648752306226,49.406805857314595,49.82212628672344,45.777363789491616,42.89045857003868,39.96523846209163,37.312285292575126,35.2167638004785,37.66531014231903,36.14824681152044,35.20438735613403,40.96715394778455,41.58647777103789,45.79551697628356,46.05487321744984,51.848643463726745,48.54320912457037,51.252223637159894,52.247670307021124,48.56244903547339,46.565942224102216,43.01091182545957,44.034448658401,39.89661061491805,42.72339024680787,40.923104548030416,43.35284933415615,44.88104821306842,47.48289064899681,48.71511602065522,44.911765548512484,42.94271487250233,40.32357923086486,41.76280139935383,40.351081741974966,38.28531152665544,42.794154494758615,40.46122166873758,44.768804239832114,47.18789925797988,50.70092873919258,52.535797922325735,55.78324815711881,57.59497945417472,56.19816352946396,54.5046339386008,50.4944571234636,50.64200504632185,49.37966187752929,48.339474475440035,49.64501502058164,51.86869653651152,55.27108801984943,52.40671057480369,50.472116676989124,52.48732049289805,48.84727378426256,46.95551315151841,44.135207587404956,43.575141124400545,39.17603520337207,39.19788219972009,34.57434583676383,35.945434785002,30.675604977285772,31.89170437282588,36.1017063140154,37.40752206613143,40.414044245005705,42.18876221306666,45.26558505544831,48.49219324247046,49.63146153546013,51.17805813136411,54.394508880334655,57.25989680369938,57.25481855161967,59.191475812087035,62.00390083712924,59.568005670214454,56.075569551680765,55.486628509251986,53.042744616330864,54.69146318829939,53.98285469180568,52.89006349723511,51.80214240536057,48.65980008072676,53.01255066915984,55.121553346118034,56.270994004526095,57.93890717913213,53.37152032228327,59.00166014139447,62.248719736804084,60.201632107634694,62.750611209864346,61.33067135878111,65.85585453264906,65.44776666747966,67.03346337741667,67.69449679386707,64.00223754608119,63.99352940933793,61.727765676226156,61.7592757169976,61.90660938817813,57.245216625540564,57.206412111966145,54.28486667888521,51.288651830225845,52.38164435019524,48.77435558258739,46.74285366629273,48.62423829012439,48.27957562271413,43.717262343364,44.3687530374055,46.08272440033735,43.61020832597623,39.81925886523161,41.52682382077899,41.53796943050865,37.20422376201279,37.16694155675665,40.2954255212196,42.83766329853759,44.261819638210056,49.46850881225593,48.85633484124972,49.45716643118576,54.67617924932094,55.85799006940257,58.742830810246545,57.92804106723019,58.30870966463964,60.306844241857235,58.15118519541085,63.100765583130276,62.81852611496931,57.855561288346856,60.432477830051305,64.95724254337098,61.90470405757629,60.12486632362479,63.778162002026846,65.15906209727406,61.41569530116298,61.00736714174731,56.54279759570582,56.61651364386018,58.15638765408926,55.1361582215633,55.20148043291423,55.03713383383261,52.410328941539554,51.30807139541953,50.52214370666287,48.42510781395718,45.800327368164425,45.83838207128972,44.03196238238064,40.90770077021418,40.93674533329387,43.90864726926364,41.09209064289641,37.31662453829875,41.217554400593215,44.03187440905072,46.00958687742693,49.01507210829448,49.68030569198175,53.96918774918359,52.17365545798901,48.985470556546446,53.40374291400658,55.18155458388839,52.58533557218658,53.345267078418026,58.706311087964,57.83082116600886,54.32364509202448,57.5866165995426,61.50705916757994,59.794901082938665,56.97174656775147,52.701377543787295,56.74883376132262,53.11391923437298,51.07451683603677,47.12993505456689,46.004965129742914,41.44056877846691,43.51192527342495,46.235219932065526,50.02729384608925,50.636650627658334,50.32966920291783,46.654018540356304,48.8635735669201,44.98405676537612,41.61133728520268,42.40262674434807,41.97030947489383,39.335972207790384,38.35696413701586,37.60228295795247,35.093403568035704,33.81736162063691,33.25734258377956,32.960586448171945,29.87689106261804,28.967976487412443,28.288604735149214,29.820488044746607],[27.34497642327823,30.135908754469455,33.721833052072185,32.73902412957476,36.528627918752036,30.47666378912687,31.62053686372569,31.219661646051645,27.81362484437817,30.40781963944765,28.98317049253225,29.137628298430283,33.86406133083005,31.82643284055047,33.28342538357606,35.959842450919524,38.127137542500314,41.20321769018545,44.72860858979665,47.647931869167394,51.12534720377186,55.264830793273596,56.1948378086218,56.666090948459875,54.192967965025446,49.94669158139426,48.63594928827157,44.37921989166271,42.774813045398986,40.80119370991158,39.634081892665215,39.49249224234246,39.759218192890415,43.845015751378654,44.531138741164504,45.026303205607675,44.895338142363386,48.28457094415851,49.93064707463574,56.00981978344092,54.83607594402441,53.01897885369129,57.42215856656414,58.29581560559766,60.74937574423666,60.95813408868136,64.84178349203987,62.84856836184057,59.42469815274193,63.661008633823094,65.11574863973779,64.57777960648474,65.65340082083972,60.36577463117471,62.744310131781646,66.14912897328544,62.477920453544066,59.55880004267599,63.81112536453218,65.41501995953259,60.286965415543946,59.075643699285756,55.608991172675076,57.611157413809735,57.439522843879224,53.67720167119351,49.98414136754829,46.01263305519067,43.82582254272424,39.61874458784307,39.63507400348612,39.930239501907884,40.97242818739267,45.802612949768864,44.44881122342446,49.491043552811476,50.62849614164497,51.46401727566055,52.49716929058055,55.58197833692803,53.83516600033314,55.84433182344306,54.1039154092939,56.21193555295784,53.849749547651555,50.78770297400901,51.67321591938324,49.744555291458965,49.21453611991345,48.53023301336358,45.880557565191395,46.424013424524325,42.36083754379502,39.56932556229139,36.41741540414337,33.85377095797575,31.49738994734721,34.333558758191494,32.84129046802836,32.411366316521935,37.8679581273391,38.698556407763185,42.62656414480217,42.983973573970395,48.68623731829364,45.33301021617694,48.25058942817837,49.10683771013975,45.44268754831839,43.512171117331924,39.752791356205414,40.47432778653891,36.18011949458081,38.772015819587985,36.805415339643275,39.090531412173014,40.59074359139984,43.069081685691565,44.30913122431279,40.61802537528309,38.53869308376606,35.95678635283927,37.32634674859967,36.0357930263915,34.133838585830894,38.76453365158931,36.80621136300342,41.08705705690034,43.695811511709614,47.26231361044386,49.06874807641559,52.475699883057416,54.055272712952416,52.76635080483718,50.810692537892535,46.687459993838104,46.84102751628441,45.342938575580156,44.12728759665483,45.42476522568459,47.46457461507934,50.86297803830037,48.053486984962746,46.19969016687783,48.32044487221658,44.78501477015898,42.86247509252067,40.226236617214525,39.85907696841752,35.509667526876726,35.90192227273606,31.362700851803275,33.240190086233405,28.25778052638025,29.185055298723157,33.22021774209448,34.12794701010525,37.235223081309016,38.727320786372935,41.841909635340016,44.767203633947666,45.79358812719882,47.126299527704724,50.43253769148325,53.25834237136277,53.09462090320757,55.19402205366179,57.93336401938146,55.59096546345129,52.0086073039058,51.53284601356535,49.02265307571557,50.80729116248979,50.223200824868584,49.22032812505917,48.36230774742356,45.145871456352296,49.7324880783576,51.586292710533456,52.860694497747154,54.290165756250346,49.89377729772692,55.492995593132875,58.66090888753084,56.46764769855015,58.92413849131643,57.40001483457178,61.93278698504186,61.319604080697665,63.02820096529785,63.68804459505272,60.08166763447749,60.15329573845981,57.979494991690224,58.153855091078206,58.441142778692104,53.775158387474185,53.97333348185501,51.158031287658204,48.24771799897151,49.65164218078398,46.14401470318102,43.84071909417564,45.823655179356194,45.83238860972337,41.156851789751855,41.500012480122685,43.60414773258654,41.509660765697184,37.3396305863597,39.11848426788536,39.52847069009952,35.13401660273091,34.778072250165316,38.231238378046825,40.50345846459183,42.46872897152239,47.164562951355876,46.60786198841259,47.55940425828999,52.80386465910487,54.348489420523,57.07158864031493,56.283394404921026,56.41316389328007,58.415233001840704,56.06875964533124,60.97266084016574,60.703653225080636,55.47324994307353,57.98989608670975,62.49332072266256,59.32884426436214,57.388648419483104,60.97257417029543,62.33769866751434,58.52498031998978,57.880331648223766,53.59767684100965,53.72211227616448,55.489914442540154,52.743155814263446,52.921541587699785,53.13712143941614,50.30152294036689,48.95261871135027,48.60306732546542,46.636508194358555,43.63256706053753,43.737046138593456,42.352712361703624,39.198213121372916,38.9723078092509,42.345284704296795,39.80226045297134,35.77418255462157,39.66775915918535,42.76274342387134,44.43036794525018,47.4474439935552,47.82677536340193,52.171305295795285,50.49120036831086,46.89920549898696,51.24639007444651,53.12510142430366,50.43158269071808,50.8513769409894,56.394133612559806,55.54236363532797,51.73897998479304,54.869840331990474,58.98353359766211,57.25507736455639,54.24634588034552,49.85804595116311,53.96118040051968,50.21809964722663,48.51869311357538,44.30411630135064,43.24512802468241,38.55443884348551,40.42000813287327,43.072702357839425,46.86308723746464,47.378805722952066,47.29250460712424,43.39506096359768,45.64022245453986,41.54478684208018,38.50224167066502,39.533523433673025,39.449272283923825,36.75369013010815,35.39364378632021,35.008153683485496,32.770691842146746,30.90004031030013,30.346783196718697,30.635263487773155,27.738870024146532,27.00867243685609,26.51309686986337,28.255490136826978],[26.86107418398795,29.419080139901734,32.4242902719097,31.81941032529664,34.78281015737463,28.355884045925446,29.104878486444353,27.89499116996058,24.673112119438247,27.417870669204348,25.642714559401348,25.042616455168805,30.241330092929005,28.85616062376631,29.688000383779777,32.086229253398336,34.81947514208504,37.84105537418781,41.83757434477587,44.32850380035559,47.979614749131144,51.88546531182708,53.143231549554756,53.96224256089702,51.31245919873924,47.2163014802941,45.647673862439,41.36089533516399,39.27416579360216,36.858169354315585,35.577016503542765,34.98000293345407,34.92879918914461,39.13045767406871,39.99239196609817,40.92638392259785,40.57458531104403,44.49510270387367,46.38800163600262,52.246116184964485,51.48932570792063,49.66803768780508,53.93268380984195,55.12779842614331,57.85073250704585,58.36975336211858,62.125012090343446,59.758409485573374,56.554618262058014,60.799489110935276,61.83997215970816,61.13579819119264,61.99234142509417,56.78168008066237,58.72243662222799,62.260360242399365,58.82531836855993,55.565142601965746,59.66723863050191,61.63114876273563,56.54860441514147,55.105134147727966,51.48636932446454,53.862901660485385,53.84811377778108,49.924169499974084,46.680498203367954,42.50934972317649,40.89596513459439,36.52604078852436,37.00699096338505,37.53116483748311,37.92920537616293,42.71377402268655,40.79994816446524,45.54069774205274,46.59072729471294,47.04629617823882,48.08589122725746,51.24686860289692,49.32154854505332,51.55537637103939,49.63463685349958,52.05023435641429,49.98792308312031,46.69491730543295,47.61947955795799,45.24807582500651,45.056823317862296,43.91875713106252,41.58702292560228,42.155607781368005,38.07827940432808,35.05173346060535,32.12481406236372,29.568724231718587,27.517637205127734,29.64921198575368,28.134347729689154,27.199384209886592,32.93935225853408,33.80376092122533,37.92167896953752,38.50484329666201,44.403757055246196,41.40296545119886,44.33915231147912,45.61731666655847,42.22970166528803,39.88169030390032,36.5350501944841,37.1911751506062,33.07878957955151,35.96660882733293,33.972916480823095,36.69892261662717,37.9985459269849,40.959661935387345,41.989825926275486,37.89923049181549,36.253420932417654,33.6073219767617,35.521356689142465,34.026388835274346,31.968664637098836,36.518523820191625,34.25686475759914,38.402941343828346,40.8667154998987,43.989422049861986,46.35209506126701,49.43417436521219,51.11049381183762,49.343397837770254,47.93241172795117,43.940657736084894,44.69440176971082,43.219765743184496,42.2673905274717,43.16970950865929,45.68408696901198,48.801411720093185,45.65066814944241,43.663721779843144,45.37787705324957,41.541184058796034,39.83842034394547,36.81337524616363,36.280167092720376,31.9321247143498,32.01491974947505,27.224768771200942,28.571321567372394,23.41050871501627,24.121451181358733,28.32024225809663,29.64312667119966,32.839204956099366,34.47337739480951,37.87316811362341,41.28024058420955,42.165475776960946,44.14380417887875,47.09711012179206,50.24752674751081,50.69836740500399,52.63736268626637,55.725244504142935,53.52307167822253,49.99926473228138,49.17987799027567,46.506180203548844,47.73259666056105,46.75206049966969,45.41044492585894,44.1768882028691,40.90199601738247,45.14338120885066,47.39953793811115,48.61167083008408,50.514823926503084,46.113898069254134,51.85297676656582,55.16986656878062,53.16105677595115,55.4611128836233,53.94565985213876,58.46765575391215,58.39568990640591,60.00989637034585,60.902894232474125,57.11889490746282,57.38756862498456,55.26709011766878,55.39729020855284,55.8175963123845,51.322983205557136,51.37673206549643,48.827938572438235,45.521712141475035,47.05248592658225,43.23538235713106,41.16664939649738,43.685691488630056,43.47654744327563,38.79512281984942,39.89273626004382,41.927192012389035,39.37674648694946,35.721847787598854,37.961415197817985,38.27710354815492,33.722575293468765,34.0427692308355,37.78088471769346,39.97963329849211,41.757052033198676,46.65694035687388,45.54519940205037,46.40008617845693,51.44697206770531,53.16019715803558,55.54907305003803,54.21327106558414,54.11021877385194,55.76616993521105,53.12094361585332,58.068879372476985,58.21893772554265,53.029241633171665,55.193593339443886,59.97439333207927,57.142452691103855,54.98428821418881,58.36827545927268,60.265704490802236,56.64817526439244,55.56767840772299,51.36653944707779,50.79894388379344,52.47388626152956,49.7282639548713,49.4644370126761,49.570785539343724,46.47649858458357,45.56818144434524,45.35110545916248,42.96152333846371,40.095951333833156,40.75358830858408,39.21442757216561,36.014814244663775,36.332817131235934,39.77577402117353,37.1570791592924,33.46125173777832,37.75260933583769,40.757174703286,42.503401662922286,45.123975902463556,45.19245934574772,49.620587797208664,48.4565578063262,44.925088924922804,48.95120996640437,51.25147671222077,48.82832615929348,49.00280561201813,54.52836509621177,54.217448566608574,50.46828309371148,53.2293016867122,57.540173574246644,56.27454211890124,53.32566343397119,49.10690253165465,53.58331202384374,50.13725156129044,48.40719908394382,44.12145512935077,42.46435324212682,37.74463293590963,40.15971845014791,42.46383678400453,46.32735542981092,46.38733938920748,45.83192798066093,41.62752152736335,43.35171231086412,39.242809947757884,36.25369172380413,36.50453828460101,36.365640396545665,33.20089132863945,32.492498167938685,32.505446216443914,29.75233498587881,27.817419526736803,28.290182988660963,28.49968212255335,25.212138552488256,24.41260998469572,24.021892176280698,25.67062220251483],[26.082622553425818,28.247143924695692,30.900540419943955,29.583391193220567,32.34267584724222,25.976879169081514,26.245484264943396,25.208867847191073,21.49186284102833,23.741143921019795,21.80240284555955,21.621104078475955,26.566478411145454,24.799116125648997,25.673559115042366,28.267278352498508,30.82076317754104,33.73217049918289,37.551609391718976,40.21668366233903,43.770513233397615,47.76628321506374,48.92019471542601,49.66678762996597,47.123141844845826,42.96202393829855,41.5576469522146,37.311436816688555,35.33816817791428,33.17963821628942,31.738099566711643,31.57133389151938,31.681572565878966,35.75123555695847,36.52944463568901,37.18485809506069,37.12010937069545,40.71985616414072,42.58790913974365,48.57500803314345,47.623237691418346,45.63516561276752,49.94806427813042,51.070012067152184,53.66768697951989,54.166049072846306,57.956482111577415,55.698650936122824,52.538630317680415,56.85757886462245,57.968005370660556,57.41746946045841,58.260862087509715,53.02449382529012,55.137803817393724,58.512563901931884,54.92250959379891,51.817911872716834,55.97478186891856,57.72358001837136,52.58599161513573,51.222431383091354,47.68289135853116,49.85690683938368,49.775229411544245,45.942881537633,42.47966976898189,38.386264370471636,36.5602734163553,32.22867226509861,32.58181228255553,33.07439623373426,33.6332728856839,38.43472924242232,36.72962005557313,41.66217790677882,42.72969758085115,43.43533834470607,44.47956761270025,47.62741500108274,45.911969673370585,48.11128023750608,46.465465745064556,48.793464615615264,46.51281601031333,43.23753306936671,43.95730848561762,41.86021334563268,41.32610514718126,40.45884177165659,37.88057091840828,38.47367721275986,34.38818018146231,31.511612665814145,28.411003305875084,25.84805580881911,23.60069329683087,26.29067943042407,24.95954620165419,24.786643149976516,30.093177287942325,31.446862160532454,35.13757836320304,36.043696352615534,41.86215611877904,38.934703237365355,42.186030759072416,43.3781534768565,40.10903647216605,37.75962867677642,34.240792208230275,34.38441741030147,30.069011664615427,32.61554605971102,30.24561521693719,32.837344783824705,33.94693674102414,36.82342244614292,37.65933921434632,33.64563655665698,31.94741531520096,29.421466085363676,31.449669332932512,30.189779619558667,28.442185126603334,33.20045397257041,31.522450994004704,35.568079598717986,38.28768794233134,41.36263420363639,43.81596559884182,47.04940198414953,48.396160446303384,46.6696712273488,44.99768446199585,40.860814074859285,41.77139259969554,39.90769667563288,38.69805510456722,39.46776237133806,41.7288739277716,44.73263436566962,41.5570076098426,39.72635659431749,41.49795446631657,37.73546982280903,36.0866491593604,33.273018389972805,33.068271655733,28.82167057902111,29.457226690989625,24.730753018178167,26.698472544530777,21.986551095087645,22.05023498725943,26.00114218446398,26.802950416317593,30.248384528234823,31.400772828002804,35.03479429757542,38.093375036127256,38.67409776656911,40.51941180088899,43.501617643345625,46.724098096420555,47.07591738833444,49.2711348461112,52.3189666704597,50.30976464903208,46.65082020895133,45.946257517274915,43.11397914346409,44.4087466762662,43.50654567271453,42.17955036136998,41.192893262083,37.72587705817896,42.21469932257659,44.22403639471453,45.646942805249836,47.344600983173024,43.24865665095751,48.98062006982331,52.21475601013142,50.02289922781431,52.09470451733894,50.36579256709895,54.905244746497736,54.64781417326477,56.479602851605435,57.44856445009544,53.76599397851075,54.229796752071195,52.27532128568001,52.618113086033574,53.27343810941283,48.819986351194395,49.18388652740284,46.84138461486209,43.600184830277506,45.55983267804196,41.8455897249475,39.47595055848819,42.19985618623534,42.40992800493077,37.63350033259953,38.42974441621356,40.927220801338215,38.80862051568725,34.80726103325485,37.152720475053286,37.9259428690365,33.360800045847334,33.361722423788116,37.43548577375306,39.28359681967726,41.64184658418399,45.91899539449234,44.843733759530735,46.083462460118795,51.097153153909986,53.20178352071856,55.375246191888216,54.02906513850718,53.61926738815269,55.22492961171029,52.33185349412652,57.20171484776128,57.42633016540171,51.95566754500092,53.98039950773613,58.7518471195483,55.84289173590163,53.466321012146125,56.714321710954934,58.65974283129421,54.99640863752608,53.55054742603195,49.62421657533448,49.008111204168706,50.95502014062276,48.57353581760117,48.36884418372305,48.91437203598226,45.536897904776744,44.42071452654345,44.765354677759106,42.47420259488419,39.203617183527506,40.04155438737356,38.99799062164627,35.8003928556424,35.8984975863001,39.767939681201554,37.48086050105648,33.60965914225593,37.86470961343824,41.12316534978276,42.51755316644175,45.07787551325604,44.78216295637691,49.24523506113041,48.28161613070187,44.32980544057822,48.19652382949036,50.64572162360193,48.15731501200775,47.89835561901601,53.60053298954423,53.37211550998772,49.30324299644218,51.843898325614624,56.384204249379415,55.14604970497125,51.99764743604321,47.678743176626455,52.21459148345097,48.679704795769425,47.37770504709409,42.80367250984158,41.20182960013189,36.37706789866648,38.544447354176626,40.700143384622685,44.530614535274566,44.42240952394728,44.1104491172085,39.5981934153882,41.27155180855597,36.87500662454224,34.40367008736399,34.82815528458957,35.15319835558147,31.836210499872177,30.753928400781355,31.360541573707806,28.914133848447644,26.166072756068534,26.86692228792613,27.841305105722057,24.798424433889096,24.22821482850209,24.069262191474152,25.8550429060818],[25.035508792121217,26.97052098891528,29.09131487913279,28.354984781443683,30.349530477391895,23.78477762388489,23.85655493650033,22.039799275170857,18.810811161447244,21.457165263234028,19.42770496706593,18.330193502532996,23.74682779097631,22.878082416496337,23.3406834217469,25.492339188796276,28.517940773055933,31.569500405633693,35.89169867201125,38.0293899891588,41.8287540756029,45.566544122789,47.01107972898275,48.023881518904645,45.206862959812916,41.25883687900876,39.46239787319546,35.176010952852074,32.814342718871,30.150949041722107,29.034414912479306,28.092630782345203,28.10282998267271,32.429747586676186,33.159211539194445,34.22250144919598,33.69744420154314,37.836524959187535,39.82984198292219,45.550516274053244,45.01874899133649,43.26450807830086,47.441370358687784,48.788856395137245,51.697557335311004,52.39154379274629,56.040893031227995,53.44050161093286,50.35724404210978,54.58390129353464,55.37505573543489,54.57785730944217,55.32744475470534,50.16519257819255,51.91466658969368,55.52797628163984,52.2282659784482,48.82972151987795,52.89758935047825,55.031190347701234,50.02569347746053,48.596509526836705,44.96601674752597,47.60796464164565,47.52993321208725,43.46064648084743,40.585141967064146,36.28927565297463,35.10825597795413,30.707403765088575,31.555483229192806,32.486431755974536,32.38523619184868,37.043183326123106,34.69980670957991,39.43421389201086,40.1568031625973,40.550233182676756,41.39876355780286,44.478659934721826,42.417805380075094,44.665938890543565,42.69432557484739,45.209070624174856,43.25656991221188,39.87017352952577,40.8421080983263,38.332851138017254,38.352856750152604,37.20656168732549,35.07344432835221,35.94502124559886,31.829239370654367,28.619202587048193,25.583400243006412,23.2806050790615,21.160840144546526,22.819975785076004,21.179514594333632,20.24960397081437,25.93882714745285,26.970314408215444,30.988083920219406,31.827371641932476,37.78854006076052,35.06715794237863,38.20338040757654,39.72446755741186,36.65075013066973,33.99623505654717,30.88970030032003,31.17563533908659,27.154771590849794,30.09967555765447,28.003799539242536,31.027953854518472,32.142918512911585,35.45317787699076,36.38795123713015,32.033757716034295,30.73889393519538,28.041087594314796,30.36709361612759,28.742413344942502,26.671865485684165,31.135877048508238,28.937859571229083,32.84939112776548,35.31143571304026,38.02814120179719,40.86516403350792,43.76500536814958,45.307477367929906,43.2150609976986,42.080409122672606,38.151305143608504,39.474353010886645,37.84982359664869,37.03978370693678,37.55449187895081,40.390797680398144,43.237675975022285,39.8541817200933,37.78093540114856,39.18727544966972,35.18030890743135,33.64555628883947,30.407164537601552,29.856899143767105,25.59119869900137,25.714358865971025,20.81341290542233,22.173665657979942,17.2720559081089,17.372470566468408,21.50367712790762,22.806845213193245,26.156942152685307,27.66986664596279,31.326848212126833,34.8969056564562,35.59109254379652,37.96761082136521,40.66357311853741,44.037470227534534,44.92071245087052,46.8083228774405,50.137237079724166,48.145700623925265,44.63961979276219,43.59301976931781,40.743668996882434,41.55625113558706,40.32814402035153,38.777024436480076,37.41359540422779,34.05774743810379,38.20954289876149,40.569832601995266,41.81383271394118,43.906150690421306,39.646835055353286,45.456925846227406,48.823865213329235,46.866694583545865,48.9691532541311,47.412799340782705,51.91754485158574,52.156615488615316,53.747260812046946,54.825565260862646,50.96773255852797,51.46116222375408,49.47152578469721,49.680104811372615,50.338061739382475,46.03180973803695,46.16841339290515,43.99654665269877,40.44316115639901,42.382045038670114,38.43163505064453,36.34257491587434,39.43376396959867,39.38002376783454,34.67769646073129,36.165536931319245,38.47259429515161,35.94414556716294,32.49945098924443,35.178215452312905,35.79476397842869,31.19636972050387,31.826110014388433,36.00115190282074,37.79849549387688,39.874647912041084,44.344531379619696,42.80480010240448,43.89473460074832,48.691692319842986,50.8731767829303,52.77709920031471,51.00703614310205,50.447885395977764,51.78035887146209,48.70903564258504,53.59530495190655,54.12663140415748,48.769417984574865,50.53142260776265,55.49249193433866,52.87769086398994,50.39135077062679,53.49759254855833,55.83915362775393,52.368505727892895,50.68065319675936,46.77059421142916,45.61931980821061,47.41689261659679,44.9790582167878,44.43220091003917,44.83689703955013,41.32714447962448,40.57093785223335,40.941026227670754,38.34628714929464,35.24467897817195,36.484165033347416,35.294860745198235,32.10566636710974,32.651055309477364,36.49418947702282,34.17788968597901,30.65151425668547,35.14678730727272,38.26988066194136,39.719525769904955,41.932761301750126,41.42110608949912,45.903404445987256,45.33899622988038,41.52283899336988,45.10903547961718,47.85460102693148,45.62107725014075,45.23328117657533,50.83870086681315,51.040570730028584,47.117320847409644,49.371365246441,53.987072698405555,53.139530531110864,50.114542240154854,46.012975669804845,50.805233279723595,47.59529476172757,46.18128220076707,41.68048874630958,39.56669179124654,34.83163299399638,37.50955655122814,39.35271610213731,43.19617253130601,42.73806494303734,41.952833610686355,37.323074907135904,38.543975691398735,34.28432784515436,31.745014516823698,31.454790430629824,31.64167532759583,28.01264093501768,27.566334898373363,28.39589054522103,25.521021572366408,22.899969461402737,24.46622091925313,25.234165889816353,21.932628004763675,21.326251718913248,21.273590978487082,22.92441985894665],[26.154885273228967,27.59885343489971,29.196885546423136,27.736669957416336,29.27559896706399,22.88204956886638,22.196989433207964,20.387008236110955,16.589806228392735,18.42042978979433,15.933022015040674,15.124319607441917,20.343927675794518,19.154262881910302,19.289616285188064,21.64507246272241,24.681696071888254,27.473444318920638,31.6923495455805,33.950002764671716,37.638132370565756,41.4244647268677,42.83976655929698,43.88041761481829,41.197767767019215,37.20038603512749,35.59779241434512,31.378852177006873,28.98055063359363,26.528632367503096,24.97267407386596,24.56168398875778,24.566275024891908,28.708320981882288,29.491945490156212,30.36388339023337,30.233347492334786,34.129470346150136,36.20850104958191,42.03103093487237,41.37290726638228,39.32285885510029,43.51388538469182,44.88941778016285,47.688916399658225,48.46981386719644,52.12829215048201,49.56936780965365,46.64818365375198,50.993234112225316,51.7382593275205,51.116968699836164,51.75183816571222,46.586156768723065,48.40068315059303,51.80862735985254,48.36298084906325,45.04725135638186,49.115707064297695,51.072454838720404,45.97802721948804,44.51072891356511,40.90679077887743,43.36145747174115,43.31464632551088,39.34875288903224,36.27539750723431,32.02613150770328,30.734706561217507,26.314114558727564,27.1425853878639,28.012447444026062,27.90517429897789,32.58612437680836,30.366467932758397,35.19023784336403,36.024900205289825,36.580406085365915,37.52876201062262,40.679747620320995,38.89478026779836,41.23841563033271,39.608972618682685,42.145255228202444,40.003726897857085,36.53492173453484,37.17825012119792,34.86225934737689,34.468384000227516,33.43833260668141,31.042489877590892,31.83938871783043,27.71703651814391,24.6552466641274,21.54257319814018,19.128469249578316,16.95073937476344,19.201045030733262,17.93983255258279,17.99259629987106,23.115432900425585,24.9530548226941,28.399385421517103,29.827740303324134,35.716270527348726,33.2552140361603,36.775518539558014,38.30835826377887,35.49785120806303,32.75089724379008,29.602923273281935,29.183656710154292,25.004460518596897,27.518716206129866,24.86238744270341,27.81303944236315,28.536374997225785,31.86167770625296,32.37051135376223,28.007137124898318,26.814419210037975,24.3312378513161,27.024774348473283,25.724041964279216,24.104383632355283,28.768858031251213,27.31356344305576,30.987832224733438,33.71008213404991,36.203645106292996,39.28581685972656,42.26085613404144,43.407326072955385,41.24082378095906,39.93903189538101,35.8871740997843,37.562446590658574,35.4484187295784,34.36064900916641,34.5722930144035,37.15029847043674,39.72992058509436,36.21262820717214,34.35210799893734,35.69584034240174,31.69598567962573,30.34670214794504,27.295325227421394,27.183670512899997,23.121214098764096,23.92402512093902,19.112643022576457,21.080901182361817,16.924590485156827,15.884231002682354,19.62294574513086,20.326043585000967,24.07420094641693,24.90190284533708,29.02359927187347,32.25975226841619,32.43643050797988,34.8590433410249,37.45566229032641,41.04288889009829,41.969449855145456,44.15684992332378,47.50700651579803,45.81225762598292,42.165129231333985,41.19169154249848,38.10199490606665,38.8328893969022,37.582859402740624,35.92573838132294,34.763459117594515,31.101719938183855,35.43588091365721,37.6256226578048,39.146163362992525,41.13949173207815,37.320251566833846,43.13996488693178,46.43209267647586,44.2980118141413,46.02608968267872,44.16663190919671,48.68840956056959,48.84549054794057,50.71310026118603,51.96273858386423,48.20041700093052,49.00734881347818,47.25577049882973,47.72078088703288,48.696492027351525,44.51272892776265,44.98625440360904,43.13461447689106,39.60736958479849,42.04052738515182,38.18883402988795,35.84386610385173,39.2326561792461,39.593623015118986,34.86698975813618,36.136154829988065,38.88895536127894,36.774887286992914,33.12548970055714,35.923662322379926,36.971866213653726,32.43787064998285,32.816983768202455,37.26540371505651,38.68512697039178,41.27114825958006,45.099652920717865,43.55076407666972,44.994125402244464,49.67861900806056,52.23490336306259,53.873076765336165,52.02847647868546,51.13291219940342,52.339115604827036,48.98239120432385,53.75168156363508,54.43976581658804,48.84539569485574,50.37082523245119,55.338076040912505,52.725045714516526,49.98122771072376,52.872090811397726,55.35380623949076,51.89476038295339,49.728279073079904,46.17888644229961,44.833134185651545,46.89999603380158,44.888403846883556,44.30640569791818,45.149394285473726,41.31141634257481,40.45298170263993,41.451731577804594,38.89740711050234,35.45205398690746,36.99375953162455,36.30388069155707,33.175832966591585,33.59505371624707,37.795851622983264,35.828807524727274,32.27160158701831,36.69170518882869,39.982041460620295,41.09043092956404,43.15135407944587,42.232895850837814,46.70793454204989,46.43560732883133,42.262299208521256,45.58489167881722,48.522161063903816,46.288995774616886,45.42058752658029,51.14988495728008,51.516040391572666,47.30987363044525,49.252168252482946,54.09980428422565,53.35300676800553,50.15617421953985,46.01318088609692,50.86626665690584,47.62431663113043,46.66444687728219,41.91399227438384,39.8183242254924,35.048988275667064,37.48109558294818,39.09291785521807,42.859190286626074,42.15748622248575,41.57900709862956,36.60902928553781,37.64577588707314,33.098507107239094,31.239636974130548,30.972886221067878,31.67858417501515,27.836494459493498,27.134412993622472,28.720219419659415,26.15934453885365,22.672659914167863,24.695401844745074,26.249554918539676,23.262994907520543,22.89370705476692,23.068194068334677,24.71728080180683],[25.652336339886915,27.05137504769489,28.414459446917608,27.54401046663099,28.672340682683856,22.189892062925047,21.564142458946197,19.186619337771305,15.986578608786267,18.294781587213343,15.91850110861635,14.262159198726836,19.855394623797693,19.482825210980067,19.386700547255927,21.29700519423662,24.659505581655093,27.601664239699844,32.17201152604799,34.002745269679984,37.873309110784504,41.44737870458688,43.06392680384947,44.27180638186315,41.37578487191238,37.56425794590922,35.64142146302131,31.403594502318793,28.752494086303315,25.878876911377287,24.71061395393247,23.54683170648833,23.478480328417955,27.859981239788475,28.583288897862932,29.81073835521698,29.224377303054403,33.572508119941865,35.708135632861975,41.29413568616887,40.96834023439347,39.17650422789205,43.25216140147436,44.77081012194063,47.80529276955694,48.68948366265366,52.23872746423253,49.44400809850459,46.53532313897696,50.77079142050287,51.31046456114429,50.47156343991472,51.074028137264946,45.97008681417108,47.51102449138498,51.13719043045612,47.94064352416253,44.40508704198808,48.40535955337435,50.674688415487395,45.709117080774796,44.21414458521927,40.5510812024959,43.37884464446804,43.32250710236638,39.175796374236405,36.589883263745925,32.21330792392087,31.424664967186324,27.01431242108633,28.18960753543358,29.372528848480698,28.80863963973041,33.32870892389433,30.639754445106963,35.264782013155326,35.81197145092159,36.09771398367482,36.86958909799751,39.94154454235268,37.832846292928664,40.17931999869155,38.2220835330576,40.88355162216926,39.03253940940252,35.51419531559181,36.431088306773475,33.76644750550087,33.89746078596015,32.63817820974581,30.65639801780264,31.679572927654316,27.56484871009625,24.23089895250156,21.213685709626958,19.077394690718172,17.055896396150896,18.246140817137242,16.622522361698895,15.77176397125288,21.371811170892116,22.75634619247688,26.60354187710586,27.83511141261673,33.84596981705129,31.475497390419,34.81037269849648,36.5726303123767,33.84454675723819,30.90975559694786,28.08857166098265,27.9520515877344,24.06613403021039,26.96234733005023,24.68828025095687,27.93727551754985,28.769175791133392,32.35912450774515,33.059084241428494,28.50706461453153,27.584764505079374,24.953917316228562,27.705709712352164,26.076043052477363,24.12636656431471,28.46582404107489,26.45941388864703,30.067066420362252,32.521034942486324,34.80556793054545,38.08201192312919,40.79539286219948,42.17809915595711,39.78171467557889,38.90464008773428,35.048922982980486,36.90600153660367,35.102790465905784,34.37467737083511,34.49528100013066,37.52128349199384,40.056187452195836,36.45894784648692,34.382173120683845,35.479122920008514,31.326683388683804,30.017544184530863,26.624414672862972,26.13660474736111,22.03681483622771,22.26644447585686,17.321744327355113,18.644024336807306,14.198813582233212,13.367542171516357,17.364386207697542,18.633987931888324,22.204745181646782,23.485667462171005,27.496533968732603,31.188644090936112,31.586617158043413,34.367987496513415,36.77664390987405,40.397020246939576,41.67436426302701,43.55878152539626,47.08056790350835,45.32106388279262,41.83268866819309,40.61169848938876,37.59143701315057,38.00521335817548,36.53467197564311,34.74940776620937,33.259874982881335,29.767416924327016,33.79728169147723,36.28760556325591,37.602655016582176,39.90283163497732,35.85734385382392,41.71874628255091,45.117862150478686,43.19915538721443,45.04672469948565,43.39604873299653,47.87934668421751,48.40101232809125,50.02107385105742,51.29402855183771,47.39293861994886,48.131692032292676,46.29544211532911,46.59807614772834,47.48731760350163,43.38505965667068,43.613310453904326,41.80046795056923,38.068605363765755,40.35231094427439,36.3310246354753,34.25545390106695,37.80042175226574,37.87826443293002,33.23794170968663,35.01602621415211,37.50988660672274,35.0373238448074,31.838498932295675,34.7971791530293,35.62746170679966,31.10163483334648,31.93944527502541,36.3369225528737,37.81063174464367,40.06830134443028,44.15796898547725,42.32703782564208,43.5761700587916,48.126332111293266,50.62523462572102,52.15183964074063,50.06239089145891,49.15722621315035,50.211752734558694,46.816692297778324,51.61502304847567,52.46483637714771,47.02123543209904,48.42765372220776,53.506033607915185,51.093742859653965,48.35215832011445,51.197167586029934,53.896744900643625,50.57129827827333,48.37808587710872,44.75638706530799,43.10445928571826,44.9958339137107,42.844427178781395,42.039225307917825,42.67861652013936,38.83507904234782,38.25492151809555,39.11723710189428,36.3526860467258,33.118850250033375,34.86216017141119,33.96053785143873,30.845515997676358,31.59721789911897,35.66597567211329,33.61423708989544,30.328106590157127,34.88025886462629,38.016693872947414,39.23583548196828,41.09388705778342,40.135238288181206,44.60550928272938,44.52468199733406,40.549910991672704,43.73729739806062,46.808271666566036,44.75075453512861,43.925042274539365,49.536001097216285,50.13669861733241,46.11571622807508,47.945618792540515,52.762615097035415,52.24231735853546,49.18257588956995,45.20904725632399,50.18404075578794,47.16881473425679,46.02272069941942,41.41435342759458,39.005420263038005,34.34212399025292,37.14132535685775,38.605519992757515,42.37506226580845,41.51981315250737,40.58197952472264,35.65464104612089,36.42694738415438,32.077195398147516,30.013093021913182,29.2413446376185,29.722098290217023,25.730346996562066,25.556428979135543,27.106701740920304,24.2034890659213,21.044682090766486,23.552428759652056,24.758912326373565,21.581422339491258,21.152190066792688,21.3419309826498,22.856663954854866],[29.193631207704385,30.56379922912107,31.715029742578654,31.080539007393625,31.790575696964087,25.38985840181579,24.499900144172102,21.639183946767147,18.75674138597309,20.73472825829049,18.00122337642553,15.731707409928084,21.379794076707295,21.46372543199428,20.422857840091815,22.06082564425763,25.947110581072923,28.433807477501922,33.167844833825924,34.69806952232846,38.50087183661071,41.830028755497445,43.707780091679645,45.226632254258114,42.39661116238234,38.72914879901372,36.833875946473306,32.743986656338045,29.67360779424033,26.54524398391075,24.72103113892176,23.463890150489462,22.64365165368439,26.883619734690264,28.137136868984385,29.87969872485317,29.36751534260541,34.13139910989125,36.56717966112025,41.87953708208854,41.90015108935691,39.88000760302039,43.75246166012003,45.59439047587175,48.707999322609375,49.90427158404411,53.31836002105033,50.295584328766736,47.74720402702198,52.00902157499876,52.163218760343746,51.29377546574609,51.59416935469425,46.63178077330285,47.70670618993781,51.2825801483933,48.25598807210159,44.43475486346595,48.17641925918551,50.68819756232875,45.720440564445816,43.82926304263639,39.99743733516988,42.98204352837718,43.27454545530529,39.17522727181532,36.85385055782597,32.44483112985231,32.09635415265205,27.636638960028105,29.111985772985605,30.109271562992706,29.054958146752305,33.474198596559475,30.480006859530814,34.508834052867456,35.344047430901895,35.130427317143905,36.189565695052245,39.48837137016463,37.44050318885615,40.18851361499241,38.23830833304408,41.283599913232884,39.71474004837615,35.93348061215051,36.62744573723331,33.5211040932228,33.737034759372236,31.75750466023401,29.99878895931274,30.64167058935617,26.641029973767086,23.254646508651305,20.918285076305455,18.525211256472407,17.39646192089289,17.875455984258632,16.720035534764175,15.363777840971593,21.103237011259754,22.889223733710523,26.73666246708396,28.471169970373964,34.57017097462146,32.717774805835255,36.02571062886714,38.16458604676406,35.76660218780763,32.534366857099826,30.19804121375673,29.929753945786096,26.341093856273382,29.241035360751624,26.835118977556622,30.22713276957678,30.66893566931099,34.46009540836565,34.661001494761706,29.97121386999866,29.467312212353573,27.085796423318744,30.260424916927228,28.75072459903955,26.960601786843373,31.133663612350865,29.136579218384526,32.47756645779124,34.77023780137172,36.59807192592173,40.27116939192708,42.679827697777,44.07250443127252,41.3059205469225,40.87735280475376,37.188867151897114,39.47501947943194,37.63219631006428,36.994350087261466,36.772568497657694,39.88075303298829,42.06269571817298,38.243579127674764,36.2617500552956,36.987345898369064,32.68998888791737,31.722815898762583,28.189058392666777,27.72864895119212,23.888385345452043,23.919225759860492,18.99955194667451,19.534975575194096,15.178634113125726,13.787097146694725,17.75656941352103,19.488268211618685,23.14264469474654,24.336145242605962,28.71957197995802,32.70749859421097,32.743647374832534,36.072584356041304,38.06754177428596,41.99193302894686,43.7149990679921,45.557408573236714,49.26019038154122,47.692936067389226,44.26665675013698,42.871723327838154,39.73945578535474,39.693419754052854,37.89508486081085,35.7659831518387,33.95099099723696,30.336308614878458,33.879321618280436,36.79268595939419,38.12440408500719,40.885383259780404,37.048433697208736,42.93797072230849,46.40412570380591,44.636241827407446,46.186359342125954,44.43169577594861,48.84640783930769,49.7869230909421,51.437812086957656,52.94143867050499,48.992368177048384,49.96125928311123,48.244657555279616,48.553412074368964,49.56109072668898,45.65924531148656,45.79685742056367,44.20434043470277,40.269719450203446,42.564761581671746,38.39473282536223,36.58254964442341,40.37857787017891,40.25045753250517,35.743342413377164,37.96761370419387,40.289005155274005,37.51295688540759,34.77431628868178,37.86079696597601,38.51267264026981,34.02301755076523,35.2183955490752,39.55049683415236,41.05860635643356,43.04528499182613,47.32281385645954,45.26522058202856,46.34981840756088,50.74068965555989,53.18083514999391,54.574786959648534,52.1913280458107,51.23194083568697,52.045600071357285,48.53661210956616,53.31204838947723,54.440585053799204,49.158875995125975,50.313856320491176,55.522307305001306,53.37847126829447,50.55893167126633,53.231736803586976,56.24927913515756,53.09576518663046,50.6743876981393,47.15975622123405,45.043799380145735,46.80687133804229,44.64895421771682,43.479924553093625,43.922363079990006,39.968348706779864,39.84586050951062,40.68945767659665,37.58808767302023,34.66237944800325,36.78624935163655,35.655122734349504,32.597199296469,33.801118385144335,37.67689314284699,35.510708993488386,32.60635663302631,37.2870362290012,40.207952345945145,41.57136007132847,43.16373136009925,42.11931000647701,46.55297670265365,46.75620966433643,43.00535225618112,45.96725907236652,49.21631564001027,47.363059528597375,46.499461909227755,51.97942169544756,52.85887067456383,48.98192639238057,50.61806076780121,55.445487680707956,55.16470592234285,52.20238809016031,48.374263520723225,53.43420593893423,50.578799251876156,49.37473180326149,44.848698849308015,42.236928361785324,37.672360352290745,40.65405497347906,41.97288611514841,45.71078494975034,44.68242765741006,43.51513272844935,38.54961967531053,38.981385993346805,34.743568649182734,32.779828876195104,31.458434110026673,31.822461964268445,27.60592634711228,28.035141321140074,29.729301938637217,26.523861378297223,23.619083421435256,26.65260464578838,27.602700010610803,24.275878186755925,23.751519985505666,23.874023178989773,25.129778381817076],[29.941882395595336,31.501031094865112,33.08592476003079,31.855611690467185,33.19394081176523,26.782686884841567,25.96532531548672,23.764415493473454,20.17197254890535,21.762462392914273,18.910395193066083,17.6080353496524,22.943301864603544,22.02681651282559,21.283038805746234,23.502673446724252,27.013751649222286,29.323535408770578,33.6203562644321,35.71466196418248,39.28333475409872,42.894723040171854,44.521176375333596,45.83348876955555,43.28442627098709,39.36294584321613,37.880635022828734,33.794223274041606,31.03092332293665,28.406862626615904,26.055234662721322,25.751901450557643,24.99149476730793,28.930436679453113,30.314615235702345,31.63643193997827,31.69481049561393,35.92811821633406,38.303305981981474,43.93246373600061,43.53774428192559,41.179247567275006,45.20710070127117,46.87730463617807,49.69042046879199,50.75581185003392,54.31799381106889,51.59756671239094,49.025817237778575,53.43510699627089,53.85498104414932,53.253961928744665,53.59860573228349,48.54889379120837,49.96047081820986,53.267739152391904,49.9234891894492,46.36281114484199,50.18428224636161,52.30924914495783,47.16055332151309,45.26379775862984,41.481213122418715,43.97745722035636,44.32643841304954,40.46628159502866,37.491732244110956,33.23859409259904,32.23007496938362,27.728697386423292,28.750406544146262,29.263599753979232,28.808130657130867,33.47153741044788,31.09701247586987,35.33666037129806,36.62608274152978,36.71584197916925,38.0566533139565,41.492771239320476,39.85827570698391,42.627241062520355,41.06454750629601,43.96596990328935,42.04142991699463,38.309366216588465,38.66976202110896,35.972003674711964,35.52402204578356,33.77456511988564,31.472449804750422,31.737253159414585,27.72400946639607,24.69327412137047,22.2817252678523,19.44197625072062,18.172835663578965,20.0190953459282,19.277368454705325,18.956137353507632,24.24018832283775,26.494032967558176,29.958965374814333,31.855564984732737,37.86002877979516,35.820605363617325,39.32313949858442,41.177049237628765,38.5937983489275,35.59567665780688,32.80759399855486,32.316206360915984,28.32948814061118,30.85625570619207,28.026079586725892,31.074222307663764,31.423224689168375,34.8863021229061,34.8550635711958,30.39448284577597,29.532326375953406,27.320726084225672,30.399884270332226,29.264478626217823,27.807595578642214,32.40156920713723,30.94652067781717,34.461325103380375,37.07452031366438,39.23726343586564,42.634300208145724,45.386285229485026,46.55458542151134,44.086313415954486,43.13078598582066,39.18410380618054,41.18309528097861,39.01213771309594,37.948050954465685,37.89075430796118,40.45819324782756,42.73569531083487,39.021107326953235,37.2950451430794,38.351496647925806,34.2267426327825,33.18012104741991,30.031708373587616,29.981308863845058,26.093212754068016,26.732789929177372,21.848751718988442,23.157854577270726,18.859132547737044,17.474935454585662,21.311109015276134,22.430664566259985,26.303505699363953,27.051977303350103,31.544593134871594,35.03667634098055,34.86429402279499,37.74426549806416,40.00692597150789,43.881461309422846,45.147243414949756,47.35069291422015,50.83921429693931,49.30276929377686,45.67633308487323,44.587959273236685,41.388279680226354,41.76873652556567,40.24987407086935,38.289741045637456,36.85701906004313,33.04032448877918,36.97441630164812,39.541689450291294,41.108394514001546,43.50414549494175,39.86889028728151,45.736939593444696,49.09257222623141,47.06523406274148,48.51862844324447,46.5207227119781,50.99822641274658,51.47895926037869,53.427432922285085,54.8833015723832,51.089022010532844,52.10363883582484,50.4517589371296,50.92862479322158,51.99491058596117,47.943626597995284,48.33486241272196,46.61472320120899,42.91651986811781,45.314921242231506,41.3135173070605,39.18858001031209,42.7445808280159,42.890988590239566,38.23692604687273,39.86667266888146,42.44114843103538,40.011937507938214,36.707566334800525,39.58424974660111,40.42049014498887,35.86320841048422,36.53541787740578,40.899615614167494,42.44173040779399,44.74412765938008,48.86110838211944,47.16672224061658,48.42587052456494,53.04494318135452,55.47261254613898,57.089552127677614,55.03755496509324,54.169630818799924,55.21661639422453,51.808301044454204,56.59649382000512,57.48156758400899,52.03176389149962,53.40276825242515,58.48694283936477,56.069543055311755,53.291931546833005,56.084627978121524,58.79809274574969,55.45297431042704,53.15996196146196,49.64367494275615,47.96051792283782,49.90565782499132,47.823224103591016,46.948265401637855,47.559662145879535,43.664078863359265,43.19618874800907,44.07867026376097,41.22198744498194,38.06951318052078,39.874271991891405,38.89165328442048,35.770312105212405,36.57772384706945,40.57704208243861,38.41496184986395,35.13291323123729,39.70392877883013,42.80770862359151,44.122893304353504,46.03071254087522,45.132459666391895,49.60343145457522,49.48371901101989,45.536245805211074,48.758797155311214,51.80417049762625,49.7095706297523,48.8993578266622,54.53342692543096,55.069105340638636,50.99757359475113,52.86123229096931,57.69639009084101,57.09171825822813,53.975376637895096,49.91622917286008,54.82005945742925,51.66184560728163,50.591769837126705,45.91725375160474,43.698998305248075,38.97237285435461,41.55135675079198,43.125012094212536,46.89486781995545,46.11818625555611,45.37055943831822,40.39047510430188,41.21244190651266,36.7425632996639,34.87308953664638,34.19194852492062,34.7382748678812,30.707128164657174,30.5049756084384,32.095990516760565,29.211991261939538,26.019542728857335,28.382847430087914,29.612617575546448,26.3900183931841,25.86742235683321,25.91206036413454,27.358975098376277],[30.028307544354377,32.07041050812798,34.24135574779966,33.4634784773137,35.389446882664565,28.838923790536555,28.67723237261242,26.654697286403266,23.31358412452109,25.488083618429346,22.983397513795516,21.717725009515416,27.17332428072851,26.229952780892052,25.909775523709712,28.123862741919975,31.513024771051754,34.02365446386853,38.28638698053688,40.44727752434667,44.04791667166855,47.70045409398068,49.28128722680452,50.50771103718057,47.92361016698128,43.963456871140934,42.430984631831095,38.27423014992783,35.63187315239276,32.956921407491144,30.87053792970194,30.34044585896561,29.60870733555261,33.628456272696106,34.999703496895016,36.38058648949404,36.239417690207254,40.55220962708516,42.83935480945942,48.47391409525679,48.07600963392342,45.877877830035374,49.940244210564444,51.541096331326806,54.36485003577955,55.317171246164044,58.920242804419495,56.248485316596025,53.525155700698924,57.88190681156704,58.41713695580924,57.73473904418639,58.186666215431586,53.11271012405372,54.55141566350039,57.9672478173709,54.66421535520953,51.0940843718703,54.930036287663114,57.111324870936954,51.98585806727563,50.10820570803978,46.31350173438569,48.8335980374615,49.18352546171438,45.30551005869111,42.318277850285014,38.072182452294754,36.96007643283358,32.4691583138565,33.36052752423856,33.78467591967498,33.53681588563686,38.23843952141085,35.948271823828726,40.14919149845559,41.47583365356732,41.49164407300901,42.82889909077673,46.24352268680748,44.47726173092279,47.178651056180605,45.41012936922091,48.26969515417366,46.41994840637828,42.764801561405754,43.324912905654074,40.5542526971312,40.299313104716525,38.4968255109186,36.29336285055073,36.51200427277391,32.524211235321886,29.472008647177777,27.10409125268187,24.283968540617852,22.972352437758897,24.661947566921086,23.658552115962163,22.71766340664487,28.405114947080687,30.062934198480786,33.94819672985046,35.37371913575319,41.4329894895516,39.121255310741255,42.33595021586588,44.11463425316493,41.252426614887206,38.390375989695,35.52547954576684,35.585135217068746,31.614244738341267,34.41302107525713,31.93393110317418,34.954796878450466,35.62978760331702,38.98583992737275,39.269265048088,34.88038647497534,33.803018180460015,31.435302687702787,34.16449151804451,32.857292182892664,31.10667730522788,35.67271499160471,33.73475704520937,37.509270924229774,39.989342857006214,42.44008482914337,45.550914742105945,48.32892289453914,49.792283775940696,47.463911967205746,46.51570343699237,42.59793841091164,44.205836926779845,42.36485483437238,41.41128491468152,41.672679180532704,44.30611383451378,46.857171441606695,43.2878610382418,41.447104204936196,42.662689351043106,38.57149160258428,37.331821996859254,34.11839692845339,33.79891445359258,29.704122437644966,29.92505632012665,24.961128422078346,25.933555442890864,21.02314221353744,20.58910514554628,24.739428009136272,26.234883622641263,29.83104830269408,31.06793074054696,35.1968681310216,38.860568793362745,39.085184334982884,41.80431554787437,44.236661521555554,47.91707756717856,49.01514017608551,51.06343758314179,54.47579297339518,52.68189238152928,49.11486927712391,48.0516727528732,45.03864657922382,45.61437036597581,44.188098740525454,42.36009211848334,40.843332638895966,37.23525539695786,41.109241916161075,43.75124926792873,45.1354757239417,47.5348560111422,43.559159141894916,49.42309060042364,52.82262325645086,50.88074364097032,52.63947368315141,50.83839191499464,55.325673899960265,55.75347347436949,57.545013988133704,58.83887288803678,54.99694497374701,55.74731414620055,53.8994390072091,54.19434769462159,54.9925370598838,50.78892234633389,50.946181719514634,48.903278023171296,45.24568714042331,47.22156332277591,43.17730561452572,41.209223159379654,44.427168460413476,44.26507503580206,39.61041739092498,41.27081898506461,43.499491241114995,40.786508787927374,37.53886249312413,40.228894547643314,40.7075226443067,36.103713967612734,36.851199374999,40.934751269220754,42.83558805748433,44.73239805970225,49.39663895276166,47.82678560726297,48.792018927336464,53.56504793694245,55.61472357021216,57.547918810581706,55.65910652349205,55.14295061868078,56.36419515783152,53.2572856096532,58.151881767421195,58.83109574017564,53.57284460313739,55.2164852097938,60.259350965029036,57.773655312076116,55.24922724559418,58.27002432319497,60.77171440551569,57.36650998823059,55.54936194015779,51.704806341257026,50.31135484394519,52.05427325250195,49.598015990351016,48.82020622852463,49.05208697770318,45.48052153519436,45.041290805091684,45.3421474582006,42.49855354867506,39.636729771700765,41.08908111733621,39.668049668893254,36.49161778680163,37.33062206545706,40.992817684719675,38.500942500157095,35.19348770961953,39.775676587930036,42.73653171597552,44.37093429560633,46.493489784149176,46.026082137775994,50.49831489978571,50.0195446398031,46.38140418105007,49.909272703939514,52.71251655406253,50.559813506963664,50.21938631022522,55.766742646391094,56.05159609440449,52.20029278553236,54.41684778569646,59.0276692492039,58.234911287017894,55.24150650940014,51.159163982305564,55.94675662985971,52.72669827837071,51.277630840625214,46.80497961780377,44.70287726903302,39.97691883900953,42.63927344748604,44.50169096118809,48.34328134523875,47.869797604093925,47.061754947358686,42.39119968178473,43.487139661344685,39.20831273544807,36.770089741324625,36.23669524924375,36.36340720412884,32.576019730558045,32.44826701680005,33.342001460209104,30.27434798718947,27.785571751087282,29.567133499657096,30.167085727903974,26.724571092819836,25.98314196238904,25.78886037092299,27.229831351252514],[29.81573659683776,31.738544856650293,34.03030106206903,32.39975305754718,34.70994201331443,28.374332345435235,28.045462797143518,26.712205540687208,22.71809773546214,24.301420666164375,21.793319253033324,21.51032899814444,26.42698781109376,24.56680183536072,24.654130480070567,27.33742219105908,30.195948179581855,32.58192856167865,36.34079042695231,39.026253551852875,42.39282522857289,46.32049679429129,47.58360956431788,48.52864135269487,46.2023049384595,42.03673423262099,40.88874501593335,36.77880332024788,34.54488784467439,32.44170865848144,30.122913169917226,30.451895159868922,30.0432289147853,33.81094582878125,35.05171045657263,35.86146175992401,36.22794284900317,39.86830830104302,42.001409368529664,47.943829018211765,47.06696700856927,44.628940627577805,48.84588078369377,50.18784039987524,52.694621176489726,53.45151767414688,57.191341158487624,54.868179172360094,52.07236282954054,56.534093998853805,57.39489574265131,56.99587568448821,57.55281693612875,52.39089717317907,54.27834448730433,57.42177936340232,53.78287966649375,50.576998490886474,54.55742939391528,56.27665706727866,51.02478249877182,49.320700033278655,45.6790294006888,47.69925163856584,47.9384678093568,44.28365151960256,40.69291019266338,36.65341446293718,34.88014979009764,30.479276484242423,30.89481055132762,31.007199866898944,31.4038265349181,36.23074241589308,34.58603233920792,39.164009821012435,40.687662650625164,41.193503640669654,42.61262253554865,46.0197723188909,44.62999622489049,47.19721513349068,45.846620598271095,48.44457726495317,46.17171187430695,42.654186302435,42.93424388968391,40.72328506260368,39.8280090361074,38.54666814143155,35.818941783841126,35.93480472216808,31.944531402307643,29.248896075811846,26.592739684294692,23.639821650693296,21.963442529062796,24.873359923633412,24.13924813355125,24.346160590784983,29.417148151314173,31.55571841612292,34.911476871731956,36.51285013332799,42.39012921459394,39.90691108205763,43.41150271994368,44.84203803447837,41.88460333291129,39.281267128867086,35.961975812061375,35.59935229615429,31.275960950709205,33.562081751909744,30.668424501200857,33.27596401477481,33.85101533741265,36.81931445041707,36.94979020000646,32.878096018450904,31.449914698562917,29.274702040195667,31.833950785675846,30.932732991547738,29.609242246425136,34.495605039124655,33.30506147906525,37.11352836352861,39.94824611205162,42.66367434852651,45.51110236994915,48.65371033887433,49.75622347792711,47.76495135645395,46.21128358609727,42.04417028562794,43.42087654555169,41.16871945256851,39.76640497055067,40.14489952082929,42.19611263151189,44.80574493059205,41.39754650574943,39.824514787926475,41.37265020035453,37.52933662015851,36.209626721479495,33.46053223193209,33.59792192684498,29.569928490742686,30.53477716249583,25.75301281641763,27.671066049740265,23.210350202798864,22.415386894682,26.248139098204057,26.959968137837347,30.763075825756513,31.432516268066355,35.6360305645264,38.659397679905666,38.64892871359203,40.83128999258476,43.52964501903696,47.10482672719788,47.709567270716065,50.142112808228575,53.30311114430643,51.607671572818596,47.848943420004545,47.120251781395346,44.034510275756965,45.04373657216089,43.94367652572284,42.33520324423501,41.301351831755774,37.512526041555105,41.865159001139055,44.01710327376399,45.66554140693788,47.57229852161534,43.891075643968634,49.681038641755165,52.916703695662946,50.66930023523193,52.29390051716665,50.24724742515793,54.77456354974057,54.66831826186359,56.76681381184822,58.000691957956434,54.36183754102312,55.1897854427602,53.46476894426658,53.994074022381064,54.93066990275822,50.635036678662594,51.16756788648396,49.120810921161194,45.75655485208888,48.0248864387343,44.24146773595034,41.850652634174885,44.91235757513112,45.23482884399368,40.46201253483683,41.39828138552364,44.07120827754121,41.96721872053944,38.071111768480804,40.580632429197074,41.48125127797177,36.906594564767005,36.986417904971425,41.20573947799533,42.901785511621746,45.39054688083596,49.47978345261219,48.27992616944717,49.61888276264566,54.529624850586444,56.790208537989635,58.78283110844892,57.22657553857809,56.617207754040784,58.02962169578226,54.90177422515379,59.730641850204044,60.20219113955113,54.66056274861336,56.4277886995207,61.30698218650523,58.530348559576176,55.95124450420557,58.99910922608591,61.21045588686262,57.62414142749802,55.76442209505058,52.08435725086016,51.094293397148284,53.13787968015897,50.96936840800297,50.52747164705778,51.18569643239628,47.53996617226576,46.63483165546788,47.29760082405235,44.7930241076357,41.49361926590846,42.72705335920717,41.77556394747155,38.59167306683496,38.90751237996928,42.89065748966287,40.661674987245036,36.95060768284199,41.31629568576136,44.56313429937707,45.90230364813357,48.25980937859358,47.71269964758956,52.19382447854783,51.53075296114088,47.49466322977994,51.134549459287975,53.80224538322185,51.40722005962525,50.87375382075947,56.612004497414766,56.615621874414245,52.44424029583124,54.73011217391935,59.430080745365565,58.358541800598424,55.14436689427959,50.844186796152826,55.47180215350152,51.96729994922231,50.88710980471849,46.1871024371354,44.4941982241679,39.65376073701746,41.783710286465755,43.76033150659217,47.555923268568186,47.22701218118598,46.927816194762435,42.15608641398516,43.55940863248621,38.999909705705704,36.94895788876764,37.081764025010436,37.62484094484844,33.99278181496126,33.10812019828174,34.22023380167562,31.691599643718764,28.567285340586082,29.86026236919633,31.11114062933723,28.03327583299239,27.48109192582333,27.374155747508816,29.02814272870665],[34.7942754061654,37.01359623237467,39.68759951665594,38.08468636932637,40.75926955718753,34.46322924399287,34.302770369375246,33.080918627446835,29.0692421259931,30.52207992357806,27.93469824687285,27.728653947936436,32.55536763230128,30.481880808135898,30.32661343569282,33.099447978031016,35.979794643705326,38.00352511846944,41.49187145831778,44.35181088395279,47.468439496456796,51.39937782409678,52.628538856468346,53.59164294248562,51.53818113393625,47.31876276106121,46.476468651651196,42.48578051308677,40.25022066120478,38.28548802758763,35.37455120777773,36.10028662281196,35.26751732567407,38.72932248947043,40.39063073034217,41.297366251043066,41.977677899843094,45.57001666440142,47.81208077341784,53.74805328108445,52.829300916871595,50.08158324703491,54.24672880918164,55.65246044820209,57.9732327991224,58.79683868847535,62.54819190238386,60.329983244474946,57.72105310924614,62.264912970288805,63.09534441415992,62.83692777182608,63.256110731217156,58.1430116863864,59.9428760277213,62.88851717108745,59.17523556286471,55.96954955293009,59.80041974145639,61.42172281345393,56.07902717436568,54.09672246852204,50.39946453462429,52.14563429950665,52.692711940458864,49.2896601790316,45.446842115918734,41.57411364684198,39.62636055363355,35.28130754283818,35.50871536889189,35.057412415990456,35.64464943721032,40.465408405713205,39.147864937400165,43.31907860877075,45.39682708834457,45.71574649797656,47.53171002753617,51.15877613836752,50.052407533651895,52.871732981864355,51.6947933324349,54.434585230436625,52.16014954560439,48.54403495934474,48.541440740567,46.277115688204965,45.094501098646894,43.453168472802,40.59654488805691,40.135678767751735,36.332839480940066,33.90879412213788,31.74696798110399,28.468374652048496,27.318845270987502,30.369122918578828,30.000663205146974,30.14632559856017,35.233428461998734,37.59233521328866,40.93050597783982,42.72714835121669,48.64584268727649,46.25487878895743,49.733736055362584,51.20239667711036,48.21363966166948,45.61654189473512,42.30576271566631,41.983789342193816,37.6389064636476,39.8359962377468,36.79915294524767,39.25440265039982,39.655025656343966,42.44871934389962,42.21493664013647,38.32028487919892,36.8691919330779,34.94848617549237,37.51049740057099,36.860368896995716,35.71990337864808,40.67841782059907,39.5910265501703,43.4380641907123,46.293569873580545,49.04900502322309,51.84883223342852,55.01966471892654,56.12486712789917,54.14586895188986,52.55774357800132,48.3582079605551,49.64504198761177,47.32345117562566,45.766147838806646,46.171323298229034,47.91864280689937,50.45372353205796,47.07159768012155,45.70221924249372,47.278992959295685,43.496262166361824,42.274416609183156,39.651496137835395,39.91311087375269,35.93060970765588,36.90229940716024,32.09138107459565,33.796878254296445,29.13719028543126,28.413683764034023,32.3275293979743,33.17513214293661,37.02716491504165,37.62976089671753,41.96425536355853,44.96817371287956,44.77834978078644,46.958376576397725,49.618692171956916,53.262217024735236,53.778633249610195,56.346690840480186,59.43406330458227,57.77303290741729,53.96361796644393,53.34062139952996,50.23631109773256,51.30440733835926,50.21031111560066,48.543446406186504,47.492246390270864,43.60121194448999,47.83928044034741,50.08767525134594,51.81067872253663,53.79374019239969,50.22142978782884,56.01622299886617,59.24437078824065,56.968568699713295,58.46588872814025,56.2767974263002,60.79291146519511,60.62862687546025,62.880958047572406,64.16113957836198,60.58402055368022,61.47319456589726,59.7819487155503,60.340528798209114,61.266217034943665,56.9362765520042,57.46075433139455,55.32111759713988,52.00054950999472,54.13307626520199,50.34058812344759,48.00544404777449,50.90945414480889,51.11915199257208,46.35427607626265,47.21800963962266,49.75330541596856,47.542736713589704,43.6419409297413,45.983843978467064,46.69726264942266,42.12673741029757,42.13646329603096,46.13096508115655,48.04510389579029,50.328838493604806,54.68967915818981,53.668606953078786,54.85398082752265,59.873170584053156,61.86142378658259,64.09219096254077,62.66499144168546,62.27077155373972,63.76769263343589,60.78895574129833,65.66366498909407,66.0503793090376,60.60871400214559,62.48968287734717,67.34777147776289,64.5321231410839,62.06262461283876,65.19110383750557,67.29475719630844,63.66688065803797,61.98680030285,58.215956273261106,57.346072976142985,59.3235910449377,57.01451749279831,56.568006743653285,57.01738133177365,53.492985610721895,52.684137815083524,53.07482846195052,50.512791337280326,47.412362621812846,48.52672561727679,47.30777795867763,44.10488130606545,44.48378150358583,48.23348635508573,45.780574420129575,42.096571092156275,46.443333161296295,49.569464118959424,51.13007666583268,53.620251545509284,53.33465261997197,57.80572058791501,56.93095967765792,53.08833616849265,56.89624167606744,59.412745819025986,56.967850111159024,56.69065736696577,62.38494006884203,62.20292417918086,58.12624938923351,60.615702612624005,65.19559149165748,63.958017248889156,60.77788928145741,56.42223520271117,60.90130047473358,57.27349937063191,56.05947794651438,51.45951226806756,49.98403003118506,45.146138405064356,47.141657915230326,49.32741927121989,53.12756732190523,53.01757389190824,52.82245516673016,48.19112857495175,49.74870249485403,45.220532629176695,43.03009508547662,43.25601875095776,43.63705650063478,40.079565597526326,39.254929991711215,40.07622749297644,37.46816952933616,34.666163889874326,35.661370160880736,36.60784320725882,33.43950618395531,32.742803899445015,32.4381015723248,33.99862877043469],[31.14437858425179,33.53825620530253,36.62146471013104,34.95965818443619,38.24966601753925,32.120001338497794,32.46601545283838,31.833592664995432,27.858153602430615,29.647195837298813,27.599463952408367,27.874188577353785,32.50432597486579,30.138601184593135,30.904409833258846,33.787217064412495,36.15016979594419,38.64690192843879,41.98077210284933,45.053509878195285,48.26646011631043,52.39618069500031,53.36776701411107,53.992954478411214,51.82708652498436,47.520765212181985,46.58731369361373,42.481549882508524,40.687252942018915,38.90548087854273,36.771889174979044,37.34552270154949,37.159908405528,40.8632139646821,41.99709324379048,42.51369965159168,42.96754865814297,46.243191887703524,48.14872081567078,54.266545641555346,53.05847498504244,50.67202448048649,55.0080269883263,56.06786150835773,58.34159112151909,58.80129735163882,62.66497519919978,60.67811873217761,57.65352542042724,62.09238836755652,63.33502935643875,63.04406739788951,63.81219314756391,58.58012879690168,60.81511579837332,63.88885338101571,60.075533928069106,57.13322202836851,61.22166041858156,62.67353369567809,57.3896610109009,55.8468494746147,52.316540754794026,54.01882730122627,54.169114232031,50.66611804871376,46.689257170994225,42.839165122854276,40.543552981389126,36.30182598166152,36.25611527489418,36.068530669688826,37.11522871078471,41.977435548261056,40.8643848840148,45.604339329135385,47.27200846601038,48.01622500648724,49.46803777587278,52.82660548970611,51.533484342389514,53.91853850406116,52.6124190189264,54.96704280919402,52.501886120102135,49.1904539483564,49.51939805218893,47.60297972434097,46.52392253817543,45.53052166031001,42.601671751574,42.617778871245974,38.681845904200635,36.183728857168376,33.42349359136753,30.467448775165234,28.584285976260468,31.910295403719022,31.063623019125306,31.27540704754961,36.389657204496274,38.18898370342354,41.65046505614649,42.8414329762346,48.62259843111067,45.72562621142447,49.06391017696504,50.142578304543306,46.81471310429006,44.59336319872564,40.91727919349139,40.91325164866277,36.45774979213219,38.665062550361775,35.97178933803376,38.20848853947407,39.09175328715078,41.60150680922704,42.01588553785801,38.329689190406086,36.44930079115778,34.27814534083571,36.21841925088877,35.415900824337186,34.075325650221515,39.01046089608338,37.79429581424356,41.85393234957979,44.73046284600341,47.945233384771406,50.216512754688786,53.62689295802604,54.816737378763975,53.263238748236056,51.29333519290014,47.033485605164195,47.73365058278945,45.62960413749732,44.063339776081854,44.91957843864923,46.595368245596504,49.557147537688635,46.49925885663772,44.99529923511191,46.94658464979794,43.36169408468305,41.77967413156742,39.30278777569973,39.42653500513676,35.28324482741432,36.24023102551981,31.582214692429986,33.67894724414252,28.968384210261785,28.875293242313806,32.78906409399656,33.427048950625355,37.02183904299554,37.85826333913194,41.66731427167301,44.42801931153428,44.72399829660695,46.327139921768314,49.38590625860967,52.616983516688144,52.64548156046292,55.13839497214337,57.98020688026188,56.04489595525074,52.264627081012435,51.82790187586325,48.96296060020897,50.51337549067896,49.76580635285862,48.4790886428587,47.679877056158915,44.03346334948035,48.6100277293459,50.51175213728746,52.118445904994005,53.67814180796096,49.818936442186825,55.511320432740995,58.6598343986982,56.31036152522536,58.20552660731664,56.23805084188495,60.78117998679035,60.21651465430608,62.32792508280323,63.30173712048907,59.780128724900806,60.324826676099434,58.457419013480376,58.92796562481138,59.61958034589267,55.103135883202725,55.620870243973904,53.18352336658867,50.13981082111322,52.069616849077356,48.48574086758806,46.00788817245604,48.470956837356354,48.77437024534116,43.996866344549524,44.38203408077673,46.90572660172464,44.967149652617934,40.71516719917556,42.764894264610795,43.51755707462602,39.02829585769511,38.64391104103499,42.47548013955846,44.44825565846304,46.834408566623715,51.1014986364677,50.40762811063124,51.64196613340584,56.802141082744356,58.700063554962036,61.14710959993774,60.1055785029109,59.88908601324461,61.670242245704614,58.944328313378286,63.81403892936858,63.84618124000798,58.381889951929026,60.57988364736993,65.23190364121497,62.157074034002925,59.88939316261954,63.22630396511808,64.90789720657158,61.131163362761505,59.878568736310314,55.944282920782406,55.64803099456081,57.647661317702386,55.25249412932924,55.19533452863286,55.70368862375951,52.43554270400051,51.224127389662556,51.43637303549975,49.241797927258105,46.01251163126997,46.62891615614635,45.51330063152074,42.318412757815224,42.26086197356195,45.987311771016564,43.595864530659085,39.61872591555471,43.70996093823791,46.93608986066563,48.42415859354338,51.21551671573471,51.16827173665283,55.59622416097829,54.32298324460964,50.428531995080306,54.50231628583296,56.70710398934189,54.06826524184469,54.00494763233857,59.71089413853656,59.14615077319168,55.06088306813205,57.843449995230415,62.263373984843476,60.71717407906732,57.52516443809664,53.074623687554684,57.338000242353026,53.554954626773494,52.28351510296661,47.75570791660702,46.60475083982979,41.78463011490283,43.52642486490471,45.94730061149039,49.726648902598846,49.93295875046586,49.971248118925104,45.61034655266372,47.57408917826939,43.125643178649106,40.704735480348816,41.507611834963875,41.839861542546984,38.687911415256586,37.37074030073904,37.76923732211492,35.495655011536286,32.84650837339478,33.03646822548239,33.95483925307221,31.013493029069686,30.375574115066364,30.032696666055735,31.744518085333084],[34.917058560093174,37.173650303167264,40.19145772646115,38.02178659024128,41.33706229740753,35.40846015229515,35.46081612750294,35.03057217204554,30.743839158637538,31.942619445520112,29.710065996475624,30.36035861458944,34.62181079284588,31.811911772338735,32.36773288942807,35.44572672271322,37.63923791592705,39.70730042139567,42.61648557216208,45.96655489753446,48.85988378472375,53.05175577429249,53.882849938686434,54.441127678273915,52.61130977696388,48.23522508775483,47.71248092801189,43.782670010246164,42.10924242239783,40.68572064027105,37.96725642930722,39.22448203996935,38.8623976874585,42.187749058311674,43.54886063680522,43.88229192067791,44.8301247516904,47.75266868752946,49.70294447520857,55.88908400861422,54.47460589055927,51.71179435263364,56.02373205999789,57.05307797606204,59.04512850641098,59.528447346600096,63.413805467314305,61.629918033487954,58.80582171762781,63.349759961267864,64.63542178220942,64.59797048447724,65.25035491995818,60.05716581514431,62.37767303916137,65.13682736598075,61.13725180218875,58.35994095095686,62.37004026391947,63.53334180650887,58.152751696410995,56.48614031292658,53.01127245958063,54.291534145184905,54.611111160423405,51.41370384651857,47.05215127728904,43.44502967533825,40.82055524578769,36.713723353268186,36.383796996361426,35.69377094060882,37.06264367665728,41.88861264519434,41.25950848822713,45.838479372490774,47.93407637566499,48.773389633849575,50.51796507800892,54.008711458987676,53.127577337968,55.65418421522163,54.73025377694024,57.09884441597745,54.45263827123901,51.10645552701233,51.0337591935524,49.340032537961434,47.739078484610985,46.734625573264296,43.50056235635959,43.1037897661243,39.33610906654679,37.20918534752677,34.697598996487606,31.52584793089376,29.909211838215025,33.78055648111329,33.38537624784948,34.16786538966139,38.88500547405203,41.23847203607446,44.30526333530402,45.90496202259944,51.60589056616654,48.86636612560859,52.41949614614078,53.45248828005638,50.23046846198756,48.025119732982006,44.265319760227214,43.86508816382255,39.2966542534958,41.10984367230861,38.012179119618274,39.97406388399407,40.51994266590223,42.77474677377459,42.69707062857509,39.278028801288244,37.36286007236182,35.56147008459603,37.58766660526265,37.22765560647908,36.34629807392893,41.42209734921149,40.80310498329236,44.73928919288472,47.80745129725944,50.97122740110897,53.267825033703765,56.79646423471306,57.70017547894058,56.20065033765344,54.00002036500332,49.63397521289724,50.39841314638868,47.925283927604724,46.02837316457488,46.77105840166938,47.95025253764357,50.713756223044044,47.68788930689938,46.50950715644276,48.515446328440305,45.081423115169656,43.648632581443614,41.48630967306459,41.99021960771778,38.034508395734846,39.43186436418485,34.868412232599304,37.24113433503199,32.79044823703638,32.23258655993611,35.95989729020077,36.280328161652136,40.07675276242187,40.45042732575467,44.522442718769646,46.94988087071234,46.834564336903604,48.306684821710796,51.32954692555668,54.65047636470848,54.51836900147304,57.325568588478816,60.04925664375564,58.327166562921704,54.42139459646702,54.17420970176078,51.18268962393559,52.821721162038955,52.15190519259415,50.842251350346004,50.24697614713412,46.38782640264264,51.05291879948819,52.80168847193576,54.635930396178374,56.06483587255068,52.5795903682741,58.229177482395365,61.281323032342904,58.765543902814315,60.35186409125974,58.099353121067416,62.620794432812225,61.84027149283216,64.2544687189091,65.32263909683711,61.96125100348087,62.71981320516147,61.0364114153692,61.71054863790119,62.589547597066414,58.11482009661848,58.8842718132864,56.56842421778461,53.63233375997785,55.797109122790296,52.313487029860646,49.66042913793115,52.155767619014256,52.705998792644024,47.90228997280505,48.0027761855404,50.76556099072191,49.09814843778823,44.6285170149801,46.61965038468803,47.58023250482046,43.132406701992686,42.470054371712074,46.34879753132775,48.184539845825846,50.85067255266238,54.786825236425464,54.2605975826074,55.67825629592845,60.858189042026495,62.86282353590379,65.2993354368381,64.35027056563284,64.04588468351912,65.84235459327283,63.03723066096123,67.85834041585512,67.88647824781715,62.29268958997201,64.45014126033392,69.05690259531406,65.90261256230475,63.54863043763544,66.8147970841102,68.44612843443012,64.61948472805436,63.20584988729176,59.458689324609985,59.21266893502032,61.374537559950404,59.1841903847902,59.17015073233557,59.87497987782385,56.481903095408214,55.18523695042252,55.64414355019598,53.490463918789885,50.10921090192021,50.78507848430627,49.86263899104821,46.67491254492004,46.50865195654048,50.36663028408758,48.07877673718913,44.02467599090651,48.05037890502343,51.360377628498746,52.729960488876074,55.551490557601035,55.407229821323334,59.83392403315605,58.57264342870229,54.51150953285127,58.554477329381264,60.755716478035644,58.04396142094174,57.82107805391759,63.60263415863964,62.96898719327275,58.719752830409355,61.45413386109372,65.94509884084468,64.3043429542851,60.99435871144156,56.455779130959456,60.61865275399717,56.69779235649525,55.69243759176612,51.050138883891975,50.12045625219776,45.28006875612502,46.695804809846074,49.119288388875844,52.82910596265103,53.05979620976217,53.377493943060074,48.91554230331735,50.92446317015703,46.31440118813236,44.245908996618326,45.2259801450335,45.79806329565668,42.60153074190575,41.077346208637266,41.73072717197224,39.64091305508822,36.64926385973458,36.839322122244184,38.086922944803945,35.283974445941446,34.715699300635556,34.4081253594536,36.111675390890746],[32.05778255693717,34.42595977251207,37.742289979389845,35.5658248064597,39.34485735153407,33.615748138405394,34.082308687512004,34.10167772253317,29.935618806833844,31.41242674076344,29.640160315292604,30.593120196801856,34.685988926349836,31.742617221071768,32.99469259282455,36.09171105653573,37.900303934754795,40.34995472028918,43.17048546939841,46.62217480372219,49.609958702591996,53.921204828470174,54.57283339252892,54.87734130310202,52.93031476540773,48.52033342455161,47.88404106914846,43.8755073332551,42.53470835531997,41.21707564065369,39.157716152393554,40.20802122666279,40.32681212006114,43.853362321220665,44.80247709359525,44.875594700318835,45.590796189480585,48.30315715658058,49.98499624466594,56.26746779243357,54.665185181672406,52.233929410731996,56.657619091658916,57.42264566658985,59.403056399347925,59.60043311602449,63.55600143368578,61.93288284973949,58.77806248737235,63.20979724368045,64.80293478230378,64.71225458191878,65.64138184948426,60.37325549053731,63.00360887855635,65.88789783241758,61.84890450012263,59.25984563940578,63.45785220437297,64.52738828931558,59.22210838539026,57.9052987099289,54.55888901027119,55.86016080168409,55.86105883670387,52.56322830170943,48.17634709174958,44.57631965283167,41.757040167525744,37.74540180067636,37.25358098033316,36.8378427562438,38.48688310637915,43.30906298592825,42.76536560699043,47.75016747351925,49.478624088482775,50.60825264473517,52.04188133958905,55.30520052709026,54.237553264883836,56.416411265377285,55.35488384800023,57.425133787593296,54.667898824224,51.57082692839311,51.79243911144779,50.33572713872716,48.88490825024726,48.355325920871145,45.128658449810516,45.13363069044388,41.267888325574596,39.04743739221867,36.103192349041024,33.21491622640028,31.075292092055307,35.02021390155469,34.241518002051436,34.99563013608844,39.733968468738496,41.60927778572173,44.783314367876585,45.88736035284528,51.456439283480364,48.34192202061412,51.746110358516624,52.47973239200426,49.011678103581716,47.10981791006648,43.109886061825684,42.98616383605537,38.38774642254893,40.22037708392087,37.455984113962806,39.25118107811752,40.198705704370035,42.236621081265206,42.71837688533116,39.46133788942921,37.23900898434505,35.22626192876854,36.73032979122977,36.216818059562016,35.15379998059842,40.142638926953175,39.38792996717469,43.45990209215753,46.50472598555716,50.003882214906454,51.87393812921819,55.5586212643856,56.546663931584824,55.37902654194323,52.916081469137026,48.53965384879533,48.83265077519283,46.577916503498834,44.71495626972455,45.81958158546295,46.97752804850162,50.08096425394578,47.32574210233676,46.01794696632907,48.29384123218421,45.01994006587845,43.30850967845714,41.246212472571614,41.605049794911736,37.55298780301946,38.887594600111505,34.48673766934675,37.0912502027194,32.64573074340805,32.57574015134205,36.27332657286524,36.47192581809443,40.02201215444199,40.60809537954986,44.23049314433043,46.48655319585792,46.77986708301672,47.81494196795304,51.12744801754716,54.10371307390964,53.60816170276377,56.31258969419421,58.84114857263113,56.89157627214464,53.03986344724967,52.924826163418544,50.15056033143415,52.146432462528225,51.73935886721333,50.72809943274282,50.304183871616694,46.67351043945035,51.550784058934426,53.05011364945331,54.76362612494209,55.88047331185093,52.16090146259704,57.7062650901072,60.692364969860954,58.147575807037576,60.06287188339932,58.01904916482375,62.54531584459951,61.48324748803448,63.74692509434565,64.56316847036845,61.242841631623996,61.709317118976124,59.87894935587554,60.46359137967495,61.140832757028186,56.53798368318437,57.278761605276216,54.734279633452864,52.02673625919674,54.00461800702812,50.700187477287294,47.96624903807951,50.09524325637609,50.70243966886726,45.927424781758745,45.661290546507715,48.38279636643441,46.93263306091509,42.23348988566941,43.97440355958743,44.95228627158869,40.611154797392324,39.64456985262072,43.353580587484615,45.225666872610375,47.94536464491392,51.79149338207822,51.52516819211045,52.96619837044068,58.22815676699865,60.1432549325224,62.741222820161966,62.09580891439135,61.93627880729266,63.94383884611988,61.352458747193225,66.1498066789832,65.90315115965254,60.32451296033774,62.72132144354201,67.15034323292453,63.81135806573012,61.632585359274735,65.05185911951132,66.34838901435391,62.42496111759323,61.3655079116925,57.49580302656369,57.69554481736015,59.85182190768638,57.59316059085884,57.8754357662297,58.60946022056081,55.438444318105624,53.848078356213676,54.152936017775446,52.29228091087367,48.8453823727362,49.131621825398796,48.28761981276347,45.1339465291964,44.63699314685442,48.437939625512016,46.215523678026926,41.97592796490773,45.764216270710875,49.12326638890374,50.42848545770883,53.46389690926988,53.509094205318526,57.87585209180888,56.311334602200944,52.241347048579286,56.468575348572614,58.4139303165196,55.56752133758701,55.522416080348336,61.27886324899239,60.34980522821881,56.12331471209194,59.07991906772987,63.42016735937347,61.54506167998047,58.24615626619259,53.658080883742784,57.631261608004166,53.609650921763176,52.550526062536804,47.998038328267846,47.33053977465457,42.54306339247753,43.75144225820147,46.35037853102216,50.02237523835668,50.507854391833426,50.99686036620278,46.786430291518464,49.1003342319912,44.59888273244993,42.34795009835933,43.75923129101797,44.275540494018685,41.423354936210146,39.550029765370134,39.855397697873634,38.04460441560913,35.22590610206884,34.78356451618194,35.98272552512782,33.40624515400732,32.89505773707845,32.568912123702944,34.362124746325016],[30.767448384238723,33.38290986437798,37.10385128444292,35.21264110106164,39.47173761597196,33.92764448593625,34.92595389513709,35.25000036017125,31.37995404889707,33.263465736231694,31.908426623843607,32.917206719602724,36.97964866642475,34.10273306015548,35.84645972264037,38.87453251797834,40.4679788094532,43.243338227251655,46.06473733259541,49.51618638692218,52.60670250754821,56.96775185655195,57.52055228921582,57.65668901619889,55.58564401466544,51.18383191007271,50.39847640239546,46.32303416762059,45.193164936508566,43.85699211703478,42.345899722895375,43.08238434837098,43.49031443280491,47.21125115479371,47.894762721178324,47.8808733085126,48.315679959647966,50.98776566983355,52.471158578558445,58.77292176863814,57.0989040230468,54.98822113549684,59.473741861715446,60.06014060346367,62.07274250617749,62.05198020493878,66.0431026448349,64.51200135773611,61.084822453883355,65.39308387108012,67.20439677656682,67.01624319415106,68.16670962003246,62.856210648107954,65.66111900888319,68.69874654355571,64.68811475234801,62.189092029136845,66.50576847832389,67.5805423827652,62.35561117516372,61.268622482200314,57.98868214753667,59.376606879251085,59.170260199956175,55.768619688141165,51.44926360439773,47.8294704647111,44.95850810251988,41.00972385183302,40.46014132493551,40.26257864998754,42.03243706514393,46.83438808371509,46.27013059976009,51.46515024345947,52.92841315643324,54.17354164578643,55.38341723449913,58.485231957620705,57.203871108908736,59.13283290993522,57.866743673448084,59.73607274135693,56.975801889914635,54.06824131671674,54.58959368180201,53.21067557045994,51.99734927652204,51.71262900107997,48.58126486942726,48.85978807807633,44.92667877713497,42.58251078842601,39.396537423311614,36.70971267163879,34.27651487810876,38.05901378424717,36.93456106141167,37.405493047473385,42.305835451723425,43.64844570298925,47.05097264155895,47.65364625386224,53.13761216440471,49.69933441436595,52.858559565696744,53.37119816329996,49.65867145576505,48.020397651172054,43.89330301932607,44.1902219830759,39.65687891463368,41.629800434163236,39.28827373977559,41.00106191738383,42.33841758728282,44.233513543453626,45.229632208588846,42.07402624495273,39.65180306905871,37.43332145939724,38.47598354513011,37.741562491939156,36.40842516627977,41.21971736654828,40.128754145978576,44.33898008931082,47.257574198682725,51.049467018757966,52.517125450041846,56.27123886138521,57.45310251387426,56.55309953713797,53.971878371322816,49.65170821489836,49.481674717633375,47.57059854594705,45.84303523583185,47.29646795558456,48.53091774920849,51.94506863027442,49.42592887912608,47.95826433060242,50.419748779351124,47.25031162844477,45.30369054546136,43.24234619880981,43.36183649412509,39.204711779243304,40.28412228135885,36.00257901429491,38.57158276660696,33.999084186660504,34.5130328492816,38.264088174810766,38.549172665817856,41.81591619574115,42.73831703112971,45.91847641125223,48.16188290837837,48.89290119248094,49.629845208825955,53.15635554052304,55.823889101837366,55.06564858233063,57.58230525409578,59.95401828130347,57.74126848452752,53.99714781893334,53.95235292845381,51.428722270083384,53.68965648774687,53.467954713302845,52.6916214762652,52.312976623888375,48.93398285323834,53.88143941945837,55.2759920755291,56.81668165536016,57.75967265052519,53.743160209982726,59.19769590925452,62.15555771031186,59.65829657817188,61.923977479256465,60.12861900080857,64.64764501363837,63.42695588406177,65.48419217682101,66.0615315996857,62.745145361326394,62.89277522835772,60.87916659235634,61.3063283858477,61.71782564073627,56.99678006552494,57.592979267385765,54.772066002812345,52.25218770742917,53.89402602866787,50.72245209868139,48.039199594991075,49.749560610226226,50.24610319961967,45.55399977795631,45.061572519607424,47.55204277498146,46.147621986643955,41.38719987619526,42.832179923832854,43.639833967550075,39.43524856901234,38.293426754353234,41.67017342917305,43.71409315212324,46.23813504559187,50.23395511666981,50.2174515086128,51.519569336369,56.85994877962312,58.51241666450063,61.356960760667796,61.01352066718163,61.11662479262672,63.33554297465996,61.04598910324353,65.83996653010767,65.31201487091737,59.87300369380746,62.53687026225559,66.79703873192963,63.3254488184298,61.398901651991345,65.00317112478291,65.97175885410839,61.98332434470257,61.393835572528936,57.31557422119758,57.93475623059882,59.97685115036171,57.52385107036991,58.04551201204492,58.63471213776941,55.77567177181699,54.01303837117137,53.96568141508536,52.33587824526076,48.9985661157773,48.86753189621515,47.91036532085464,44.80557045245412,44.089999549648766,47.65088634573391,45.37318676307729,41.054338460618744,44.60056317245969,47.885187744188734,49.26428813055103,52.516286549491724,52.88480481314393,57.16518026488062,55.237804780785375,51.343847554021885,55.793497752110035,57.43022908139815,54.48905766544947,54.78737223981485,60.4333950829791,59.18763658530607,55.123705448389394,58.373509049969414,62.466686701190994,60.35543439962044,57.15561830655786,52.57149180976886,56.31722889246712,52.23979864737159,50.95694017546315,46.63072124481636,46.209325371655204,41.53821554992114,42.631310417671045,45.45204108504737,49.08516402665205,49.8835820046337,50.43946019203898,46.5978839146644,49.19984133573975,44.920304961485655,42.3214377649464,44.0445852537321,44.33895891646264,41.85793341602911,39.82474773777932,39.59963600145945,37.94261165529248,35.58537654015401,34.49767450047089,35.36232177510097,32.930815277422404,32.40086099579746,31.969592227322583,33.76439777568871],[29.39945888063674,31.710396367373114,35.33127808507926,32.78664559357318,37.23600306946485,32.155081723893446,33.07273928099143,33.98107418930865,29.96015078215006,31.452971576249375,30.40582843529138,32.04185635806468,35.482277652518945,32.166683651381035,34.4010028662414,37.53837868652584,38.56254475863497,41.350552925552556,43.740724450628804,47.434795528064505,50.36567174722459,54.84443006418578,55.11653037204593,54.95856713038737,53.010530666839344,48.57778515107348,47.97500583960261,44.00803185210727,43.318619827882415,42.41164345246306,41.170200898173036,42.24019017601455,43.05954215384256,46.64045757632519,47.00482208441901,46.53282046907434,47.12945044340797,49.23439924314725,50.46237042923722,56.85617722486895,54.841455880446844,52.79685092849657,57.33519977123031,57.6297860099517,59.422126109788394,59.1514148202909,63.19223876072858,61.959614049920546,58.39319594439466,62.64348568307251,64.760571699283,64.72030165857835,66.04133346616223,60.723802925278285,63.90022568498392,66.79038331207965,62.62281246053833,60.47171299452502,64.90354580862697,65.64666215754734,60.47295013031699,59.702328321087336,56.64303575874405,57.75127240943451,57.29458762541828,54.02482637956726,49.469088054353776,46.065186658827244,42.819150830957625,39.12982876333817,38.25092078513971,38.07379153832198,40.281535394680965,44.971782212316974,44.81134479956705,50.31146715960368,51.60841381973211,53.267173186534826,54.30834021374813,57.2144555845186,56.07848060931379,57.719215331151645,56.67137237433683,58.21709933581713,55.19665428601184,52.54247864656405,53.02249205525417,52.120101404514116,50.64567393280049,50.925160425568286,47.59440938729793,48.06315553529057,44.18606259394972,42.050103780778244,38.591806921820655,36.134391780448794,33.355637162816166,37.60261543566457,36.48606676869207,37.553832878705826,41.93806645486906,43.349695614042005,46.363596472631954,46.895064296148966,52.09196088653866,48.50934141871186,51.77255932015936,51.95952931071548,48.21983923841759,46.865572388386425,42.48051593583792,42.529050995035014,37.915655515432725,39.471524314216175,37.087576205226334,38.392445586214905,39.795474344304566,41.28281660453555,42.43374652892261,39.661196159357175,36.97143577290874,34.86476170673712,35.49316950592757,34.989709842556564,33.93511847823065,38.72598100881663,38.1686418139293,42.282677178307225,45.36443808578223,49.32180738498465,50.477155346306446,54.45370412488686,55.363898617829854,54.79862043103955,51.775937056227264,47.3795969210423,46.93278950379401,44.83725333032062,42.8626400594517,44.48046749835535,45.299225371707834,48.80953567964828,46.56946124533375,45.24879155883911,47.96276833240387,45.105824709191495,43.05159148024395,41.3922094523117,41.74086459948736,37.75591883625023,39.25663444838311,35.32417098931964,38.45464298167443,34.36915486104995,34.73418206347797,38.132168596177756,37.89475398146166,41.08254869189815,41.69349996409483,44.66083273776836,46.36179572439843,47.07513491157006,47.28155855351941,51.001182760061795,53.41196367970122,52.223467996986784,54.91055741047823,57.01509051302368,54.846226680041525,51.0546186468529,51.27676652462229,48.82371921085718,51.43686455413982,51.52389339805254,51.01454685828827,51.01955407179108,47.69614743411587,52.91372183186883,53.86742016061449,55.50243277393511,55.99114272722325,52.17619990571363,57.44352936665911,60.22026999228975,57.54631404712362,59.79493997254901,57.952649970895784,62.42425009361634,60.77724945927879,62.94173082286156,63.387718111613616,60.267420684101495,60.37893124428803,58.44512897752202,59.012354387867965,59.4823931954498,54.75145117160655,55.62130798261423,52.83290655608368,50.61581058328885,52.4606701227564,49.57839280260063,46.60671865761223,48.14487081936652,49.055832003791096,44.37998608911971,43.28975579932617,46.120553835751224,45.29875173457043,40.11825091942873,41.39423308959664,42.60282454885457,38.55098894321606,36.867462507609915,40.32129813049032,42.058094136598655,45.1200366385925,48.42579168530221,48.69226187764434,50.3448835783116,55.680975568734446,57.587246546307796,60.361358449767,60.26230530242231,60.21869132452549,62.5472477846724,60.234600690840225,64.90198139997788,64.22204070586885,58.59430836598185,61.307474496376564,65.37425571499067,61.705632925415244,59.74761233222222,63.31974249768506,64.03554959474441,59.952930433172966,59.33605941527525,55.45943446735078,56.41282356612537,58.67144063037004,56.51037961444335,57.31128289139462,58.28151305021779,55.3880660635171,53.251123893936786,53.548041797314106,52.23636394058742,48.573831007710425,48.284506828147876,47.794940149429,44.760065140034165,43.625263103038534,47.42957510308246,45.48796827163326,40.94857787284121,44.22662103914457,47.71670590765432,48.74406012875381,52.08644341606376,52.303211188552844,56.521759237159785,54.53522892660032,50.316133603360704,54.736489728799995,56.27005791377061,53.182270731659315,53.24800916835984,58.97545483862072,57.552416765225516,53.25068117779341,56.467269206070135,60.60136265296725,58.314767351686896,54.960639818755034,50.27489786569638,53.84808294507515,49.609936366095816,48.71335268199811,44.24337071626064,44.15976785963835,39.516578346881445,40.11584763907395,42.93798231288584,46.44510524628004,47.33291440010423,48.29976922981583,44.46945056365186,47.268662123447214,42.89987744989011,40.67590541027144,42.902522592633986,43.53120328276049,41.26295834158052,38.6813444923938,38.64760652869385,37.50963670667598,34.73398887870661,33.28661198286258,34.69940444308574,32.71469250831788,32.41169596247828,32.14266214992149,34.03754830049399],[26.370107111589377,28.83204112411847,32.802327658990244,30.546389521549443,35.45650911374866,30.718164016896345,32.21555225209513,33.503807225025604,29.921658547771912,31.848533018689412,31.352334518609524,33.03739033105596,36.33262779871067,33.197512105838605,36.003556447998356,38.98099972286254,39.72223585004154,42.91399855068974,45.34008714288193,48.936160413826094,52.01464435973288,56.499327023738935,56.676869910673716,56.336245116225584,54.186873849206265,49.82682366574103,48.97743089273116,44.954867617310235,44.5190726916071,43.58344003652929,43.106241877948726,43.73822660514597,44.96077515824996,48.75915496849897,48.734070883310494,48.14353015476789,48.35329520002934,50.38478643638753,51.3461287058986,57.69800699403841,55.63018973446438,54.04933044061126,58.62567608034069,58.70572263946642,60.57655740854871,60.0506642213362,64.09786910136637,62.93910572536729,59.04427981900427,63.10001991498773,65.4528625979678,65.2614298250824,66.85927835001827,61.520625069306625,64.88978102430073,67.9801182514679,63.897249893133996,61.8587347536821,66.42543760811213,67.20019484398594,62.17679667074701,61.732485553158355,58.78004079278041,60.051988635173245,59.29838579056255,55.87509298099026,51.51144480967891,48.078309935290434,44.87291617233714,41.287635143532476,40.41631822021422,40.62522214797404,42.861337487711914,47.47449536369948,47.19768972742648,52.955092620742,53.81809900001388,55.62497084140052,56.31948338881371,58.968229367336114,57.54103411129395,58.825430995497435,57.52436412225938,58.790476965599936,55.78857546867188,53.40387189027559,54.28019030638891,53.493889723661376,52.362075381513286,52.99197256118221,49.832254421920005,50.72039047104476,46.774431276542565,44.47788196958521,40.712619754726376,38.5838699486895,35.44408123940503,39.413138932958965,37.877116822437735,38.67240305409311,43.101004796492234,43.86365677032737,47.05671010990493,46.9747524780952,51.98087277769125,48.044074538126694,51.00786681690881,50.90724401524406,46.93167475865549,45.918240299078164,41.417823943006816,41.922587284712684,37.45800609713009,39.14561480553735,37.33447712042227,38.542587948096056,40.42521073577183,41.76799227148858,43.59655041567355,40.93184784181289,38.066431535365126,35.69619729569145,35.76077542647847,34.9402149752662,33.54581176137484,38.02062866124845,37.08161307619464,41.28392281143279,44.18872454190649,48.44315577711457,49.11487601051599,53.14480996056188,54.252901672819974,54.01283937356236,50.86785857251912,46.58508198621867,45.60887656774398,43.952442623973745,42.196484171713365,44.20386863914764,45.1856009597773,49.0430095480379,47.092024504629535,45.547017219172375,48.43682714550742,45.72549576072817,43.4029928514317,41.75472509650275,41.805519436813356,37.772551575334944,38.985608147762285,35.31530370171059,38.44234980653317,34.415021574198136,35.38231422342908,38.70125965877089,38.48981886481991,41.27868779897017,42.24758310730405,44.62237526622616,46.25554041682614,47.502943081271134,47.34927106761713,51.285286141602,53.29424084490172,51.83146308947316,54.244145015726545,56.168223275171364,53.69935626983638,50.07513371636978,50.354900188139965,48.224280693560225,51.11339990956369,51.421614700884014,51.20990414472774,51.2882421699549,48.31682202702111,53.586588275608165,54.371034249890656,55.78079578926362,56.0312528083239,51.9019250304858,57.004176217836175,59.72058356362878,57.123868993066765,59.78419762408159,58.27654950444123,62.703469145181806,60.905329739744396,62.77550432798876,62.93439187730339,59.82578787196362,59.55526929547679,57.41702061116749,57.79702310480855,57.96690105753838,53.14055316165919,53.85750447563818,50.7970605497609,48.82561724917414,50.32561236803527,47.648853632961966,44.7180198400307,45.782718837660795,46.634425406876346,42.091752992840064,40.695322068015,43.31422484071922,42.65353452048806,37.38625672302067,38.327868749003436,39.43952829205589,35.59698711936079,33.6540247518254,36.77401131238727,38.60149432337882,41.55874763575505,44.86435674343076,45.39607304511064,46.970924987893255,52.347544221373866,54.065211034631545,57.02677513610193,57.25025964766315,57.42101970451934,59.96028297526771,57.95024198526633,62.56438641029223,61.58595462836102,56.09586617281745,59.06666580090099,62.91533218925062,59.109605793717044,57.41095096678237,61.151014167539486,61.505358272331414,57.37058149932419,57.23825947130207,53.18342437939604,54.60227920158888,56.753065113449175,54.452025654951264,55.543571963052294,56.43880602869473,53.87967639251246,51.504312827846505,51.513067698109,50.52147817503663,46.92940741256571,46.18274908069228,45.700681088681925,42.76690359960291,41.32046161160588,44.91326185240776,43.035887310748684,38.41231227368877,41.34715013653005,44.79201642371358,45.78386744571164,49.32411254307229,49.81085058235911,53.902016262710184,51.573921278699835,47.48152939729685,52.07938730442827,53.29038467010744,50.10633788017187,50.46539834495738,56.06510772716485,54.32744568325234,50.17243240286618,53.65208268343932,57.531608757699956,55.019641234323444,51.76136159121825,47.098141412802555,50.436357632730754,46.16366195018586,45.0791125816685,40.83349042220841,41.008401047633505,36.523887738976,36.97011792871169,39.98920664661721,43.42923967706555,44.624914357668786,45.66845124328975,42.25784693881317,45.34949255661067,41.266030286198884,38.72612857214578,41.32665730809944,41.77130511268142,39.96810159445306,37.1563901559296,36.59644369285752,35.750461044755994,33.425877972125036,31.250521811006085,32.40558610709897,30.730141865668596,30.478006565349528,30.1822052350343,32.08216639026556],[26.541028294363276,28.45368903168948,32.048632888977956,28.907090929375922,33.79482406730694,29.645948635762565,30.817562994222175,32.66107357077652,28.880288268856145,30.157571545355687,29.8972582759945,32.23349069957172,34.76490860704316,31.156873978533348,34.31216699608008,37.38073945168266,37.52636972313764,40.573669994027576,42.45974456136762,46.30365756428144,49.129002540972216,53.69803142576473,53.578628417699996,52.953285408782136,51.010699258357434,46.6445703094375,46.075352611574274,42.24593695660598,42.26131749107174,41.83898901871451,41.476741030682064,42.58190764090854,44.125966125019865,47.655186775424596,47.38224960938871,46.32176653142549,46.81294417085719,48.196114799283094,48.92400230003942,55.32658446554973,52.90536776347206,51.294016274496755,55.87734381503335,55.68081938483361,57.269426534366104,56.52786291707952,60.602460022406866,59.76751264172351,55.825907377638444,59.8425468973999,62.46078040345506,62.48096127450033,64.18419309693623,58.88274652934346,62.59348114456179,65.4415623815092,61.18998977954059,59.529961965625496,64.15233912002297,64.54434405530998,59.580436528312894,59.41013545182132,56.702950345496845,57.61634725877755,56.66267421763557,53.4557618434112,48.83427343876831,45.694488169764384,42.11064383536568,38.85998107952563,37.634784284372564,37.79066943294682,40.45908965739616,44.88580198859982,45.08099309086379,51.03330233220092,51.80465434006608,54.008105268251185,54.59613046008364,57.06723577101382,55.89242316431756,56.93983115228914,55.96837760158799,56.93551473182453,53.66175394213642,51.51548288283164,52.22738662093417,51.95378782209123,50.45313891278331,51.6085823806126,48.22832053821361,49.211508587360875,45.40026991155686,43.40581261630168,39.49359616375189,37.58113775574163,34.235265635376464,38.6831869550121,37.30609957568932,38.815180770471606,42.576244362211334,43.59938483098622,46.250171580842995,46.27879605470218,50.947805483126594,47.00941660380909,50.154422669242706,49.770964682504,45.89230578908695,45.11317823253638,40.41788957914526,40.47077177822412,35.948443599354825,37.06199878006053,35.07528631137239,35.79267363971152,37.599492921509864,38.46918426125345,40.29732580267107,38.09733718012509,35.01206788483798,32.88528688496257,32.57624515389558,32.13664343228119,31.210176502214445,35.65656540891161,35.50833890156909,39.49027959451961,42.605092585511336,46.905514057257804,47.35520061383626,51.59098547868652,52.30032956528414,52.35200481475003,48.755089677534826,44.392652376820045,43.259265577195,41.259979450330135,39.15891402030324,41.23315667915167,41.659380103200576,45.50271281584634,43.82854148953178,42.53357173073049,45.63910604751899,43.28867907089083,40.94613156595235,39.79566954919245,40.19967154740273,36.46247270342204,38.23209071230056,34.9675676128338,38.6585101294236,35.25560850760724,35.832278941874705,38.70684912970643,37.90719697982246,40.67137436701828,41.15727532810206,43.42486637911727,44.420660041568226,45.47425152570691,44.802719490354974,48.8594038529524,50.66358480541225,48.7840853249274,51.46045832778852,53.10757930057607,50.80109721285716,47.09575830485633,47.67689372861796,45.55500189529707,48.75121989077359,49.35297648472154,49.365053476064496,49.862585155592775,46.88845078640172,52.384539537995494,52.709287008145886,54.27910157313768,54.07798648087617,50.320506788459824,55.20560215633669,57.706871483209305,54.9013183261773,57.39526845936146,55.74825066101264,60.10011852903594,57.86987960138802,59.93365034257343,60.02315815682202,57.16041553311899,56.965886920751075,55.00245597169227,55.607723020331704,55.945905515215934,51.17854816578481,52.26923870630702,49.37308128698113,47.70093355392999,49.551447853953725,47.17820692662366,43.92719329929221,44.94163212231946,46.306102098476934,41.80109893751276,39.809140883526496,42.88927011046387,42.88482111714847,37.23554308622653,38.08089800887185,39.708582786079376,36.049821582498296,33.5831859551584,36.868416165921566,38.23617322787127,41.861895876921835,44.258960633814894,45.02396834305353,47.04120114829906,52.33087437445643,54.41816419575918,57.186736658575036,57.56507562896423,57.47086142997127,60.03354623790258,57.89543346821517,62.34143073448269,61.307592761751486,55.58649668404796,58.490979299481005,62.16336042217494,58.20505740712896,56.38381177547968,59.99378573801015,60.17947580340517,55.9812471197182,55.64019569310099,51.92428261526741,53.561171223484926,55.9866930245219,54.10525512707305,55.406588230697245,56.76482446832274,54.06770132045781,51.37098812911982,51.892250741550384,51.16132290910547,47.21352123193823,46.464174279747276,46.53696306794913,43.69469864329375,41.90170738735193,45.80608178650608,44.33071265463412,39.57157946986294,42.26909985525582,45.919866723929005,46.48965966920556,50.006112616209776,50.19694953901944,54.217992331374205,51.98469579583567,47.50051580397498,51.93631869328981,53.14015127276287,49.85239434403846,49.808147877374196,55.50188765977584,53.692668698271646,49.22774843816591,52.53055661708595,56.52662141620356,53.914628307720065,50.45535696799383,45.702067247445605,48.89036264786575,44.46645233966039,43.95907000879828,39.48916648252384,39.984939103753504,35.54771426991621,35.4120341897811,38.31449988849979,41.57950500776665,42.75918179258919,44.274193328956805,40.7660311079336,43.95665090057667,39.72329319487958,37.79728932545551,40.82774179435782,41.729296217818266,40.043669003002584,36.71988172605748,36.59244265881527,36.27964978579385,33.35591637697978,31.061865100557142,32.95327876162609,31.742622907209842,31.735501111300014,31.6377200749091,33.57631563513755],[24.318053994229942,26.409838318059172,30.376005991750354,27.68420547691258,33.00871711302051,29.226570405584912,31.008782860988973,33.11671524909348,29.858769188799243,31.61467912776645,31.81903039458601,34.04106145949856,36.535419898600956,33.23051021362026,36.77356737362898,39.64533348569526,39.64318383396127,43.03684324017877,45.0259509159508,48.70345994103689,51.67801418416211,56.20518160741742,56.04872898504167,55.30627913805291,53.16213063030711,48.90165672932235,48.06716894683046,44.19497912655073,44.368700901469985,43.83836781484675,44.12746801995312,44.75875653619867,46.57693034302278,50.31427049300905,49.754013971050554,48.68102145959964,48.77744862841919,50.19008526426362,50.70663872179075,57.01490897732236,54.61502685386345,53.44813571782862,58.03345870489724,57.684766100290965,59.37739434597574,58.434640630446665,62.487601298156804,61.67968494438184,57.46145484338921,61.27466643511824,64.06335645390341,63.90870405246255,65.84689810864148,60.54804923241356,64.36338143383153,67.42030428811577,63.295073156052716,61.68559147581711,66.39605592614534,66.87697720776274,62.06244608557745,62.13751986460148,59.496385746800115,60.608536198727904,59.43375657374232,56.07568917825103,51.69910873101955,48.508568976564476,45.05956545112933,41.87298164829602,40.73153909816082,41.218669380382465,43.804096267702064,48.161089549685315,48.170914326201036,54.26436764056014,54.678578536045535,56.925341461108246,57.23059429755203,59.492109647412434,58.02324843349596,58.78366617910687,57.53470823882197,58.28391720063277,55.091977332926156,53.172068840874545,54.26615093779141,54.013904262179615,52.88889203749872,54.248933451867394,51.076857331853574,52.38797340118524,48.51820861177534,46.34767471424178,42.24288074163453,40.576147073208936,37.012477720451855,41.087605769287855,39.34084064293707,40.47017777432104,44.34939272260954,44.741783025454566,47.61955194192344,47.066927483891185,51.5702755198601,47.32561436660489,50.130252359307285,49.50542089922878,45.408390535501546,44.94466591596649,40.20858011779355,40.773998309759016,36.46446010158379,37.771644868809915,36.39322718871923,37.07995425883408,39.32911417634666,40.120969005089975,42.55943043303856,40.41222807174348,37.247230784878994,34.87405810962453,34.09376260940783,33.297538107016386,31.98645143111394,36.04684621618523,35.411165850911885,39.4597137205502,42.33538352510999,46.88845498331511,46.87663450421856,51.1113108510282,52.06669660201847,52.40264109507145,48.77121406744281,44.56983957864466,42.92726735218248,41.44135828900433,39.63038027264166,42.06307111953659,42.71993833001075,46.86586923059116,45.44729359899573,43.91567033211182,47.12441074852688,44.88059806260712,42.31462562125623,41.111949224276195,41.1755638828876,37.396861742847086,38.78658820278867,35.75353336936244,39.29969235470488,35.898467840734185,37.06292834049523,39.90699503831472,39.238967623494936,41.60978466416125,42.4963716982289,44.20560614667419,45.22283482263638,46.801836663718674,45.87241996758801,50.082569965006805,51.51396161366971,49.43859187246748,51.78677154952871,53.27880894423314,50.661091361934815,47.16335484120399,47.76062667065064,45.980049170297406,49.379956388208456,50.14939463029414,50.41185844732575,50.910455307999,48.28714789332675,53.75229154373423,53.99137220893834,55.31591859501913,54.95913386443161,50.87311911621695,55.596700382746,58.05421123842176,55.369621795453924,58.27019638764582,56.97218610135296,61.267865285322415,58.96715350008868,60.70730700438767,60.52644479452672,57.65615037018244,57.07539219176383,54.8959333128686,55.27938176378693,55.28886561056942,50.443085376546044,51.32473397629692,48.14384119297129,46.701761673145754,48.141308442801474,45.95978983476721,42.81531595852119,43.33080082472719,44.56604973019064,40.23262012867106,37.99205713715878,40.77112902692864,40.87188127171814,35.220641000752586,35.696071859798565,37.155413490954864,33.746324626971884,31.058300671493274,33.91754067567684,35.41618680926867,38.84296629338031,41.30788803122979,42.34844961099818,44.227534128453605,49.547767625622036,51.383409779023005,54.363456585198065,55.06735868843759,55.23054022305181,57.999005370315466,56.19807287600334,60.590472383840044,59.26020887313404,53.73310902424113,56.89965533483536,60.35490542335239,56.28472102546367,54.75673425467862,58.5418800550048,58.36974833008422,54.13951450664468,54.33146673695643,50.40939409342536,52.49253702753979,54.76176881675347,52.694928665670695,54.25645972058187,55.47252686523612,53.14029531916449,50.266680197593075,50.42836341116623,49.98998243109188,46.18837611456036,44.98307622475359,44.99516103837015,42.2694754193248,40.21670366945615,43.83064911593682,42.38787950569397,37.6035361696071,39.93826080739609,43.48921622345628,44.063394235472316,47.76822101043663,48.27379882211102,52.14749411610715,49.556175635319626,45.27564782959387,49.892759352455876,50.74862757797576,47.3844249518293,47.6991168110053,53.22112804696424,51.08619918478591,46.82994557751005,50.424352294938565,54.1206137291849,51.278406771572115,47.95592692539498,43.25143192221015,46.176298449308895,41.73592190154548,40.965025911242776,36.79024039360751,37.5573881522757,33.32989629435773,33.0621442354455,36.18210014994449,39.36705335891183,40.88963395138903,42.43482826291473,39.41854625978641,42.882723531962604,39.005590668173575,36.696960753370156,40.03093709986078,40.67981428090873,39.46694079108893,36.01654312878262,35.29781455944405,35.22922975465095,32.8799906780905,29.886865725561364,31.397044835017297,30.484203222458582,30.513381732557036,30.367117992176986,32.251355672495926],[20.26719880788128,22.53551453895638,26.625349734269765,24.37231644458776,29.694117224072638,25.64715951091146,27.698473302276273,29.651527814968222,26.680350969610814,28.902395078766812,29.26189330293125,31.189660678434585,33.90397459607035,31.00124903729433,34.62265504837651,37.30928118635513,37.481344109618874,41.156117154318075,43.5261807410833,46.92805361818484,50.15546881399534,54.589699257608515,54.61160507083805,54.01174591522734,51.591149407538076,47.4034310952627,46.224326883054616,42.21455075693053,42.215557484866984,41.378833977174324,42.053157110799695,42.18462070690167,44.09260586816264,48.04614549082155,47.357130999602276,46.46252675058752,46.1979799286837,47.92089475109182,48.450498603363194,54.671655118797204,52.499881374910785,51.58667787493263,56.160448388293844,55.9128184016462,57.86976965780488,57.00175892400407,61.01448961764016,59.96121600893637,55.658445299916764,59.41384363934386,62.0660350236422,61.69808718669965,63.6636120589649,58.348927391606495,62.01186595190165,65.3090995818416,61.357981081877114,59.55954488376342,64.2884710833263,65.04032766559702,60.293832109554515,60.38769729882357,57.67902245614732,59.133972929475725,57.898516890600746,54.31060584826914,50.277342614412156,46.88869740438777,43.7743650458418,40.46184097795029,39.602916560263886,40.44228752147954,42.67821670175921,47.05458512366382,46.64748357692149,52.76352877325553,52.904964433325766,55.01594042934772,55.140658363016975,57.32771879773825,55.564992499112556,56.26485331454873,54.732363730115495,55.51797734717122,52.50171077343959,50.57012472958069,51.94297224346967,51.47528444902031,50.748570524226295,52.043071250721894,49.122202369834916,50.68180676699516,46.72723976029653,44.32003561004023,40.115011215007854,38.61001866944137,34.93986975474256,38.57073682793044,36.54138215151323,37.295796607853724,41.35168343956175,41.34870614059235,44.470305689389164,43.63591005650238,48.191591919200455,43.86200483246668,46.51341148814359,45.96237280398424,41.79606089127258,41.284117900418735,36.62156493137686,37.49462414938894,33.279704012623114,34.93507869933111,33.877940059488346,34.85067709234496,37.33044460050091,38.42799634669041,41.17220190838425,38.73409665271636,35.683137055598415,33.017846834062254,32.28274413595507,31.076876276622144,29.340345337077252,33.29925677181764,32.11361870916163,36.28538918209169,39.009398396114335,43.57465549671562,43.62470756577497,47.74436585524944,48.94277762998663,49.15871197886188,45.776060426602115,41.65411488848542,40.056363097395604,38.866466301653084,37.37068178981371,39.82474479974817,40.99760410838449,45.23853355453846,43.694844716655695,41.8829488896783,44.97432882006475,42.55728646382821,39.91342409048292,38.4197054460527,38.17761936225946,34.266754468254724,35.308127878339164,32.25297942821355,35.608171066620905,32.14556975649057,33.62762522785228,36.50406686995766,36.03605581097114,38.225155558371085,39.44162609312307,40.95619791287998,42.264527684878196,44.133792578728354,43.404631317349306,47.58656350632478,49.020755152124686,47.19964841871516,49.28116822456806,50.96189539249348,48.19399848590342,44.7823477555255,45.149907825778776,43.42035060266527,46.65874853557167,47.303669264631516,47.533474054723804,47.8390951285296,45.37085945403676,50.722364821376395,51.11252991689688,52.26614248287191,52.07114751484979,47.70649003413145,52.490611546629964,55.052245852341294,52.51713952819912,55.62148482675211,54.52695461961782,58.84336163922626,56.819418806260636,58.326959527820954,58.13554263635598,55.0917486579264,54.394213476042715,52.0728280322532,52.29171717659292,52.18578250612232,47.30384022935225,47.96709150503646,44.70935314258789,43.10248506470221,44.39787122300677,42.081660452255484,39.06168137468503,39.63298670550117,40.66913298425799,36.296333216699814,34.34067916000204,36.97542393029624,36.8203896757966,31.28235356266774,31.888215940303,33.21919691421073,29.67717883491508,27.2152270988028,30.20021476674305,31.832308731147414,35.09766317418213,37.928160075100394,38.717011289169484,40.47752125850421,45.82763093449019,47.667686499607825,50.60590655796737,51.135004706740865,51.31029277155248,54.028574400021334,52.2148134168179,56.67801251379806,55.41919333580449,49.93960965100047,53.09864046457792,56.666758461769525,52.688633671963856,51.164664400112834,54.99543975401968,54.97823190837551,50.78708887205855,51.00825969876534,46.91726208912901,48.85749020060786,51.010118112343925,48.78457156764051,50.27021875478461,51.356305414494976,49.0713264255843,46.277943099068025,46.29845148986696,45.80504666929295,42.084654516273346,40.8712701753574,40.76731748566097,38.02341856421506,36.03731525762969,39.62701069076561,38.12511498812558,33.353033306304454,35.78778407970431,39.33819805642469,39.98800962081817,43.65895143319108,44.17946869406557,48.10273868692152,45.56606808119126,41.344732421939334,45.98691291542277,46.93648205027467,43.6321049061889,44.01751940756134,49.55371910056696,47.56926796377053,43.38608469591025,46.985544639652616,50.724557606325504,48.03848149672785,44.775206102005185,40.10343337234438,43.28030504073233,38.96590061671186,37.927530076232514,33.722668547020795,34.154584544425525,29.816985589464664,29.972061010128936,33.09172653380003,36.440492765607985,37.85158095506576,39.07561737820598,36.028763884537035,39.41982560937521,35.62282551489232,32.99947648433274,36.17396658787324,36.65612473565147,35.46160896265635,32.146500397596505,31.250398953064323,31.06221441776268,28.932186575267764,25.896593206374536,27.20743611482322,26.237691390421467,26.27591282826127,26.170760083708156,28.132409576399933],[21.86281764544877,23.935333020988054,27.58274827919179,24.888373968337355,29.694896602930022,25.108468769274523,26.504637837793833,28.097876773348588,24.541804675594648,26.38146303052404,26.237996190442665,28.215036412913573,31.09813121102762,27.95113607497794,31.18681035718928,34.06289293499224,34.477027039845,37.88285778066359,40.28866474851053,43.79982842605122,46.960448978366486,51.427959253189876,51.55036407085565,51.123447973911134,48.82907551168193,44.53240199863485,43.53044885622898,39.50133815427272,39.261599022795416,38.43484314507272,38.49722338001182,38.9947373940838,40.62693036631388,44.44751791263824,44.042296669721146,43.22237521505414,43.28376290957226,45.089627707005256,45.86812697558089,52.19312462645037,50.06268858875499,48.72787809953461,53.313057505153296,53.266647172321825,55.19683976731112,54.570137105362775,58.605953346904705,57.4455812826294,53.40945165234767,57.38390649166539,59.8134944278822,59.57193120352918,61.290004137057025,55.9532840489379,59.46044123609961,62.6091095215027,58.563753682329406,56.642042528953745,61.290866316915434,62.034384418008976,57.129108399014676,56.955076078693416,54.139086603151064,55.493644508290906,54.48081951175462,50.97159983312748,46.76445844339286,43.345319592339166,40.183636631990524,36.72832905869762,35.875373799307965,36.4818563914497,38.69023665667435,43.178061284028075,42.82341653471254,48.81965161847026,49.269529535612726,51.29163574415324,51.67592739346264,54.08413271819355,52.548624699674164,53.56022430430452,52.24436506578586,53.29171940303062,50.22851242176675,48.02665261523713,49.062820958444064,48.495231632275264,47.47211603029356,48.51375161517211,45.43008929456866,46.71241019501846,42.768840423575945,40.45608797099848,36.40385896904559,34.656862803708535,31.159710901594313,35.096946299949224,33.377307453038604,34.44971877963869,38.47306200119517,39.079514746763195,42.04088648743091,41.79049175113325,46.5788089682437,42.5628448113147,45.57457274031254,45.32390257527546,41.38267512963928,40.48551704515544,35.87761278940079,36.24114059307641,31.777184891361138,33.326303122767776,31.651103392337106,32.76405349952964,34.8301358181528,36.12516616919076,38.30031341151524,35.68648101447491,32.7430920287567,30.231450071902845,30.04856257094216,29.10769034240473,27.668328482467867,32.08431927732079,31.303618473220187,35.45124224079618,38.42205219026485,42.70885698286907,43.31006492155015,47.40698660889485,48.393669873806886,48.25052359226297,44.97116706287093,40.67539097298672,39.670392203002194,37.97106074346198,36.228225058777106,38.29094538202784,39.363714270147184,43.31402987273597,41.43813676035113,39.795282714721374,42.74709165557368,40.13926416684929,37.71112421939077,36.169866390756084,36.22349665253367,32.28765213090528,33.675531609273754,30.30354468961289,33.792520073589984,30.26585605802674,31.158925521684505,34.120099569212385,33.565492202039366,36.181886323696325,37.046314872725546,39.16516870194134,40.551013555538674,41.914891362638066,41.54323084610263,45.55978171875693,47.42308880243956,45.89119374967027,48.272403111704136,50.18535870234635,47.71825958372497,44.08833321585364,44.37492255227342,42.26721384375148,45.236851634374034,45.653994717062396,45.58664499115041,45.83030944244317,42.99308995415003,48.369325145541204,48.90999866327446,50.29521863295327,50.32857814143122,46.23963283463438,51.24276643242878,53.89112651913147,51.25665160423675,53.969700492648414,52.540001558040224,56.93957652715309,55.07106626517683,56.87324816246688,56.98011362842636,53.88825034711428,53.59006784514762,51.46874247638036,51.892097763480834,52.12451988749353,47.31782426967274,48.16244640804822,45.20879202432283,43.292749595507146,45.025232777588606,42.44977543211702,39.33941721537959,40.50716891435513,41.64067642052725,37.06232566063143,35.474604635795025,38.41862321267446,38.07615961216637,32.587943533175206,33.65736782514022,35.14751100297105,31.29763177461513,29.1665039298324,32.65616731487378,34.15452589157406,37.59282746053282,40.412452547356224,40.83289008367793,42.71648121999837,48.02246814554743,50.13312764421691,52.82019835147364,52.941274393227246,52.83009167406025,55.298348725675204,53.10144608234564,57.63964467637694,56.7357943511325,51.05631049075217,53.91302862864775,57.75477506017458,53.9279039648002,52.07489163615728,55.72037719749685,56.14116963625484,52.000077973840355,51.62590126535817,47.72747012945419,49.120430432274915,51.42155889471705,49.365487512189645,50.529590798105765,51.74300960557198,49.04729517104275,46.48233441423668,46.878410475318944,46.02763403132929,42.15983325903581,41.48043459042283,41.4118279804769,38.52524165099098,36.87224808551268,40.78735169459541,39.23034612670695,34.50411385429861,37.38921364986829,41.040036063566276,41.70594877991942,45.14024469132496,45.30268483793711,49.40182706012528,47.29240150142556,42.865829667229306,47.296621815094085,48.662924023913256,45.46896862742946,45.462111547064524,51.186637475987325,49.60698349486046,45.214957664616534,48.48092015459994,52.56120015515795,50.172192615280316,46.775602513003356,42.064293401700816,45.580156376759895,41.319361419396024,40.525787447217425,35.99950447690693,36.052338294771864,31.465198572911557,31.861559206696075,34.718657862832615,38.18600647492774,39.18035169681903,40.29467686271784,36.676332281136794,39.73068130188547,35.53588864865721,33.276379472128966,36.046928013411666,36.7818517952112,35.02322471698979,31.893901492195308,31.662037410282675,31.139503241915627,28.367030242768543,26.17715933522074,27.899480079908262,26.53837590875936,26.53894600200403,26.509859120510182,28.5552149143757],[23.734722019227494,26.164755350159712,29.87084604267857,27.787891307075714,32.26174493213743,27.006239147784473,28.294858697717633,29.14412274681999,25.500681181304444,27.61907486172033,26.922481409814164,28.293627201487492,31.924846249629418,29.078133441857165,31.659810293769233,34.55015813742874,35.63189488994261,38.90563190758366,41.718986807707296,45.08454196338571,48.35487519683505,52.746639443343184,53.15685307821699,53.059664958013144,50.72669830507235,46.400257905606985,45.32702957585495,41.18733294642928,40.43060870823636,39.19843686431441,38.71292930095521,39.0694050246461,40.19448612071211,44.11908200441871,44.144248028437005,43.7837330314962,43.83918466602203,46.220837756575726,47.34594018616457,53.6426811261308,51.83141635989006,50.24952658730529,54.799910325966,55.098620054188224,57.2014080778202,56.891975112942845,60.8959644597829,59.44217714515987,55.64146555487031,59.75300298259306,61.83309293101334,61.511670993515736,62.982322867385584,57.636787924171934,60.752515138387714,63.97430561127267,60.0203032462924,57.732735775181816,62.25344725550696,63.28392975535634,58.25038811909362,57.671008835778046,54.59773791352555,56.14708739047355,55.463695099175965,51.87234586153187,47.76466924750849,44.13065304849208,41.25263148265316,37.4737540043539,36.90114909198521,37.3235814273114,39.16953993173217,43.84684243382338,43.178543785138096,48.86871820877207,49.63735479644301,51.251563572089836,51.91926056911425,54.61843963529058,53.045309923438616,54.457379216459,53.02017231947471,54.47730219538502,51.630763101034375,49.07768689347426,50.01369857448839,48.95780513270398,48.0396750178606,48.446820807900785,45.44789868723419,46.41666511350524,42.40020304293488,39.925170021787224,36.168809019941065,34.05157344561726,30.934237720535876,34.62428877671418,33.012321626253545,33.624117820126195,38.206446499905006,38.97750710116421,42.295390011757824,42.32187611913005,47.501716786841136,43.71241912919868,46.745020147676094,46.90707611796873,43.04325392588803,41.74140184588864,37.39045958023903,37.85257095980472,33.36851633708679,35.30873167220195,33.431339540713154,34.99699989536391,36.81815626318799,38.56721597418454,40.325294502586154,37.28836440361991,34.63540598985429,32.103884996437834,32.567492785273295,31.532529597897504,29.941491631723775,34.541944031662126,33.34980153421427,37.59681496282559,40.48405647936024,44.531113689476115,45.606015791106614,49.483913387780504,50.674375542324285,50.09816219801821,47.27396297805136,42.993835557510096,42.441305520768964,40.7609249635332,39.16735164417788,40.93013327041089,42.328103030412684,46.066552372544436,43.81131217443151,42.11453038329039,44.779134160074626,41.80139212735616,39.560961819129695,37.60988260954714,37.55053826826454,33.407866709484516,34.490552160147324,30.603796430546844,33.59220970269873,29.467234200213298,30.33819768427893,33.74693202806297,33.69247624315701,36.57350247347163,37.633076121118044,40.20133398473414,42.15786302098958,43.35360763308402,43.62266877995937,47.3981568310799,49.66083903919333,48.62629857512448,50.95520865216733,53.18354552204559,50.77605097952774,47.12657374333561,47.141557008203335,44.84382401738108,47.38926592346625,47.43364806965723,47.003719965637735,46.85567954774283,43.815047573309606,48.96399385341099,49.98552281101374,51.36951702190664,51.91625069775368,47.72015279834423,52.987192116955974,55.839930813154155,53.335855275302,55.93174704751244,54.419867126538676,58.895909352343615,57.464850238960544,59.28128782394457,59.6110184106069,56.32579686554309,56.19286229856844,54.059858392571115,54.41317518597007,54.68723319502403,49.908431860893735,50.53597103645477,47.62342847701993,45.321726483342324,46.961129389249784,44.01650229199206,41.16771309314001,42.659564755801476,43.38992221355404,38.72217310361852,37.83881201213096,40.5012189098967,39.501148671721964,34.43025083557769,35.77842003564962,36.873857143637345,32.76067539261544,31.267004019696092,34.780815848313885,36.603988254866096,39.51524536794571,43.07416794900207,43.1469830491601,44.69519622239113,50.02527782556918,51.92862750908649,54.66033302094301,54.46186371961906,54.445136531411734,56.76221395948307,54.497311919928215,59.196284159340486,58.517150578294796,52.96572397867656,55.71513380113762,59.819656721541286,56.21150896353515,54.3133534807996,57.95272784031601,58.72071693989213,54.678059087536475,54.19237737242517,50.13885151773295,51.06806781359975,53.197143626413855,50.88048042558159,51.69019085320366,52.553522155802156,49.77815035210162,47.637058395949595,47.771162111081374,46.50229331166218,42.90507171806524,42.512697584913624,41.9593669994224,38.9358136700502,37.786246180885875,41.549461903560626,39.60605551702003,35.063024176903916,38.36269083298664,41.8511143010945,42.89983830762777,46.222601579583625,46.47276262395427,50.69630231111978,48.71875597543294,44.564896443691765,49.00718013559111,50.56669767549611,47.529804918619554,47.6858015107344,53.382104031968076,52.05105717310814,47.849527412837816,51.09064654011074,55.20354485961889,53.03536109393088,49.76275004935191,45.14019721181453,48.88343307561527,44.78464882959686,43.64526369766119,39.21059392437453,38.856056500135985,34.17969319641777,35.13662712866192,37.94714481847707,41.5612702971878,42.386422041317125,43.06776934348039,39.304712457319084,42.08041376348788,37.86385849997675,35.29835867345487,37.44872226867607,37.89896843520559,35.75110775447427,33.23215648549071,32.95480452379611,31.773936448480686,29.260041960419233,27.663205360656058,28.878435767697706,26.89392760678113,26.610028610972222,26.393909439258735,28.38780129996889],[27.2902251644687,29.282185046787134,32.565545568579594,29.62904554750215,33.837264024315765,28.816101715110495,29.446362012310182,30.46169168297248,26.285610369675716,27.512849936846628,26.512131706083245,28.399788702109152,31.56840133865629,28.11441098140489,30.49285488197047,33.649182705012755,34.49703237125115,37.3014939147685,39.62997319370481,43.34006345816529,46.270706145578686,50.763027039871524,50.99700060978898,50.80736878463561,48.83469239026779,44.40742953180734,43.802582828192534,39.85073450038866,39.25107409817246,38.46905638909403,37.357815875706464,38.522410242026496,39.53451035218883,43.06223209500997,43.259761585726864,42.62171976333926,43.26253034580879,45.18687930421313,46.356649742462515,52.76623925518029,50.68722094661778,48.663131547477015,53.20990089315884,53.45882508680301,55.24711057541783,54.96232363958698,59.0043630853108,57.77666758178982,54.19872223737999,58.45288392782898,60.58358955137896,60.568435611013705,61.90626689784776,56.58993823506307,59.83936660764217,62.696538958204165,58.50781642788892,56.43104134133956,60.897572854937636,61.577503201971595,56.432663845411916,55.77763635054455,52.79126817903853,53.881662434245044,53.31066100218543,50.03343805096336,45.48126987805281,42.103635502320905,38.81686035428102,35.185962920636086,34.27407525821436,34.243229164836286,36.48818878425605,41.13765220790769,41.00216047133936,46.64861128317294,47.782108781823744,49.592048647185486,50.51324591307186,53.32325047747362,52.21501143657191,53.75714582622313,52.7978152651599,54.25708081930232,51.160477578073305,48.5632555843326,49.02083343182607,48.27452710080774,46.73487085045437,47.24299093622097,43.87709077014493,44.50985330518375,40.64074149526759,38.55413621002742,34.94727606013403,32.65164483553596,29.688121657635733,34.08926700095235,32.98593071245944,34.397280687923775,38.45671194611045,39.985284855696115,42.75419913492516,43.36482786687738,48.45096129713345,44.91742048740652,48.31029538862654,48.45745219603061,44.81920681623326,43.46193295354211,39.0344464134429,38.81828992751346,34.15724786861039,35.53234741082667,33.02734645801147,34.26143851412301,35.620747646054696,37.085620120932965,38.24870369336503,35.50447938732837,32.78358174180308,30.684927204331988,31.31719806281735,30.88312960155383,29.961681567829984,34.81379101912882,34.547368436389625,38.56880578277671,41.75713372832823,45.64418077981236,46.87292455722381,50.885769601980456,51.629108212302825,51.06047373058763,47.95174620204131,43.51368711952659,43.19203129962311,40.91433821922886,38.85255463218481,40.38686896921316,41.162604803934734,44.627975874805905,42.3692469298554,41.07537845071118,43.80085638163781,40.99257031221367,38.94719484151481,37.395052126999,37.87215473025303,33.98608094995775,35.73951093048334,31.946428032806352,35.362631965049424,31.62765945579167,31.73364231385201,34.89232907515188,34.36827581682676,37.57298099763492,37.96528625836737,40.94346039641859,42.45032659720086,43.061269578261744,43.18972595314725,46.91046368464891,49.32868128319066,48.138508878966896,50.90756702584638,53.02938639837523,50.96312529834743,47.11953653575096,47.355574193443715,44.82570532084739,47.43413336101432,47.55255262452654,47.06883800053296,47.19800312522253,43.85391829017782,49.158288869423416,49.95980901878458,51.6586612001276,52.03290683541989,48.364981153935204,53.59506299259529,56.32533111500367,53.58865437822871,55.741939576250225,53.843917761989815,58.305886877001996,56.6158335271357,58.834320531317445,59.32095487366392,56.23061935781785,56.43678366394999,54.58628029034093,55.25063676199161,55.854723928425955,51.177857733364384,52.197937707514754,49.569206585292406,47.351261403680745,49.45462443772054,46.61322683393448,43.50379932769961,45.222822027247894,46.35750935581498,41.64526428821738,40.4805577384563,43.58357890866842,42.96544797690736,37.6689124226518,39.092391725322344,40.58020325227465,36.5043966731703,34.74965471261638,38.489199267291596,39.97045586005215,43.37339900614065,46.31159610272176,46.46756548422639,48.35039428722945,53.61285632359468,55.8227639168164,58.36779188257438,58.14681923525297,57.859841924510604,60.091872536664766,57.585115096928966,62.19614584644709,61.62988485369253,55.846114311392796,58.413744771986984,62.50706194836394,58.85405019509995,56.73089846055018,60.18441221991328,61.01456916650681,56.94634743821332,56.04165488576235,52.34656697080073,53.17828596298752,55.57664445675433,53.64167077354874,54.43001338240077,55.65296962407003,52.58467505670662,50.36734509784043,51.01738167533034,49.73615999283118,45.861703895545034,45.73234236168897,45.538855049410394,42.520839820017535,41.31545020340407,45.38090752602389,43.652785270525925,39.07177106047687,42.37663089205132,46.00697450895037,46.81206704845736,50.034359569831715,49.96546345858171,54.20467895315697,52.443676725462886,47.972902238071555,52.22336584638151,53.92449017841915,50.854098434797564,50.5948361131321,56.4199972982936,55.166777234661794,50.67517714404886,53.672936489285455,57.98752712442707,55.828350541388176,52.36198121660024,47.653072948466786,51.362428866536085,47.14442794005612,46.51508675111585,41.831064723272505,41.63698095000625,36.92316326707444,37.484168323483175,40.13245800847277,43.64073995375446,44.32195799701545,45.344555996358125,41.28406711898587,43.97580266771824,39.46101885132556,37.557365821064444,39.80787539706005,40.700382272758205,38.34424179296114,35.600647517344534,35.95012111977326,34.97204680582476,31.755632076321294,30.51284274891499,32.38053277532325,30.538092888987492,30.37391253951725,30.28365402301291,32.2481133708569],[26.920178553513423,29.178222250037628,32.40574599000449,30.243796679112975,34.00769198636678,28.27617185901925,28.872357555893174,29.032723594620744,24.980747259774102,26.73099944499863,25.28265517211688,26.32138622672059,30.352784381968704,27.53725353116066,29.27434562757705,32.26951980921421,33.900837182602004,36.755944504352456,39.752355416730865,43.07326539888683,46.281229054541235,50.5989499716855,51.24148922891458,51.471204239605974,49.2637939457816,44.899399254289165,43.970308384388424,39.84747377781496,38.62448553729714,37.23094879690809,35.86694032610672,36.5175994661956,37.08087866298367,40.851946789637,41.377840699842,41.32495216412809,41.698956167473426,44.39219626857241,45.89883076133278,52.180066562968875,50.581390964427804,48.51845666242496,52.99636833551451,53.644768706372126,55.78301969543823,55.85106948950044,59.811472140421685,58.133277327256764,54.733171481956305,59.05430442930811,60.74557224445829,60.50464573383706,61.6187996927452,56.30802835784516,59.06174277450672,62.1469245764282,58.18966470169593,55.63699277998492,59.975507832310406,61.126055598822205,55.933907852689615,54.91146742345934,51.642487071593365,53.180226756900595,52.87667749838856,49.36075792523876,45.20389310485807,41.48813215553909,38.776498000013135,34.76927039241464,34.37743271219386,34.474753129759634,36.03859249122186,40.83895939824189,40.05672276386911,45.38986438499393,46.60526630500472,47.90841854512727,48.96043278885305,51.98182316796601,50.63070026595243,52.51226652385136,51.249844428059184,53.122794822253326,50.36977916162395,47.43799402552553,47.988430524081544,46.62048608639545,45.47653914757536,45.31745725890477,42.24101507372438,42.76238108773545,38.77318988833818,36.348733075960766,32.98329855803247,30.45595375450952,27.82325298068664,31.604490044410795,30.42911972823264,31.143594618456763,35.83434110736155,37.29836445035225,40.53380630804038,41.26637815325421,46.73407566731225,43.41470255461591,46.73722108588274,47.33895973461249,43.789463783982626,42.004009730183014,37.917860156191516,37.93288305424194,33.35637112219407,35.29755543380812,32.82353147421341,34.67593025108037,35.94315807807698,38.04458017836193,39.03782278371075,35.69877999674704,33.38182814348871,31.074030102023627,32.34405641809973,31.539380439923743,30.213614003718302,35.11481013798951,34.1573586566862,38.28482635796121,41.28432140355555,44.89256941763766,46.63092540129199,50.33615725986121,51.39446858269344,50.327607092930194,47.83029610909332,43.48607207121278,43.65236856872916,41.57540751098612,39.87305465588378,41.11554218992331,42.54419806916589,45.848376495108134,43.163759566381735,41.63047812501875,43.97280119911443,40.70983156333213,38.814884067441454,36.68381259203624,36.856932440931146,32.73531839914851,33.984334136736386,29.70884610250445,32.50114766342017,28.214614140135165,28.392268504360537,31.976031633651587,32.06284895448506,35.40872848970801,36.17065472134393,39.46547574603247,41.694023110835744,42.31051274379675,43.19743820086764,46.63546900854404,49.42760104167926,48.89242568426175,51.4237670231314,53.95817887252264,51.87404289588807,48.08744257097717,47.917165566579115,45.249614304147286,47.32100213413069,46.99423730382354,46.13502232608946,45.75974815087354,42.32919210197566,47.30752370116235,48.670629691958,50.254831263208544,51.23027269897509,47.31928106415552,52.813879372741376,55.79046634402899,53.28493107369306,55.433960595103706,53.59819919342285,58.124878146180365,57.05174620497509,59.11557437996291,59.80886805612379,56.4373794986634,56.73557265545189,54.80535235835152,55.30864259854369,55.89855197867195,51.26476974313884,51.962957607698975,49.3800365246399,46.705068854417114,48.674846397730526,45.42299098533326,42.642849263353945,44.741594155476676,45.41194219609889,40.63195813798818,40.313491938901485,43.095975982726465,41.75275550777497,36.97451250262768,38.75959038796558,39.85364756145382,35.51101778076108,34.5061221683823,38.34965241981562,40.11497281602121,42.97706682919417,46.67962494055083,46.341173719953346,47.876904916605326,53.10907757930638,55.1754003490158,57.66494424886434,57.00364039006947,56.75585012793146,58.76973333449385,56.156219949060045,60.92450149469585,60.65239159219897,55.024304634164494,57.42964874984207,61.828095463059235,58.46803198842696,56.28091879577439,59.71054368787074,60.98583117492516,57.061313667321045,56.01619614241339,52.13094758165133,52.39237306629917,54.56637162407076,52.34674432927426,52.7251447188863,53.57501807731461,50.42445917449448,48.68357604084103,49.07711470791232,47.352880143786024,43.78009102491253,43.99054214113468,43.32518366420101,40.19593441998891,39.54413805619617,43.4697198719687,41.40287532551824,37.0759494536044,40.81415738627725,44.273090670748644,45.42637785516142,48.44616772365289,48.39260068089265,52.75194989717531,51.22992670642949,47.03801478025812,51.22794259340175,53.199812826095474,50.3473921620322,50.20816432831198,55.99149589949573,55.109200191066485,50.833150830454706,53.739100309440204,58.11850862014907,56.29825830707097,52.98335041395763,48.408232215776714,52.46763624293726,48.503942534995105,47.47139053721925,42.85698231055794,42.08061593717626,37.26986984586677,38.562203970033245,41.09774975342505,44.795935125428876,45.21124994476788,45.64584777594135,41.42124899833539,43.749037994508946,39.27642742893458,36.98943406753437,38.50030840333974,39.07046005545724,36.32294314820941,34.28101244579881,34.59647210032595,32.936836848317334,30.022895491715758,29.46725047967112,30.82532204748275,28.394200999900654,27.99496691360917,27.79886223222068,29.71916349687287],[32.578268076163795,34.55400251454617,37.43358473083956,34.68857419980771,38.09649224560312,32.50543016031594,32.43332405069895,32.50436551473336,28.011039453284397,28.846927927934985,26.860089152206672,28.145675199776765,31.85836844261069,28.592457218211877,29.654184763131653,32.88223941093608,34.54723013611042,36.68568700759121,39.248666658329014,42.84571384835035,45.64459178082776,49.98230209245663,50.56145610842596,50.85388752911458,49.090894303684145,44.65519271760818,44.26485668578016,40.38657516802321,39.10683851152563,38.068889839323816,35.65374308310875,37.214421185512336,37.322982439257366,40.57472705011819,41.56787695985417,41.437639068819806,42.51455437689891,44.918786202004114,46.63280968671678,52.9462356428639,51.21421344436756,48.52441511954476,52.92211177057192,53.68237475427457,55.50910942999351,55.765962616848164,59.715586632316516,58.175460716714404,55.19141108552733,59.700901901377854,61.26563456270703,61.34734540589232,62.173448134411835,56.94334787423847,59.62850786235638,62.288895422529606,58.133782653811195,55.66727537382225,59.826057493845695,60.69791143177192,55.347660260830445,54.009490827179704,50.7336784271141,51.78932674893244,51.828933668648276,48.701058480549534,44.10581482426846,40.648989647891035,37.64870069269427,33.725954036545,33.08864562795474,32.472168812764984,34.27537258233413,39.063129502324585,38.785403653376264,43.77318623812695,45.64585134076033,46.92782563061603,48.461140015417314,51.75234994043817,50.96770106878261,53.199402963904284,52.45612213290419,54.51218404458928,51.60991359915096,48.49232042530353,48.41288030385967,47.174665772236224,45.344667991268,44.93886600299055,41.49733730716451,41.36958367879406,37.596395771871606,35.62676019395246,32.7366550059478,29.80455973276855,27.72672096380796,32.12996420484056,31.690791934243396,33.09233527645548,37.326202069877716,39.725828475458385,42.43866154229245,43.95256904233458,49.406965214532285,46.511288936564945,50.182078150179684,50.92302971146374,47.67277523299915,45.706396886765106,41.69557609836567,41.048903242387794,36.37151112991563,37.82263578613173,34.64367015697614,36.275752743053225,36.880588390972115,38.81961882836701,38.89161298570368,35.75899339292182,33.57912980667486,31.83987947495763,33.558838169993784,33.3943242679688,32.75705857532756,37.8692676898783,37.72905976545799,41.59477730626457,44.829266865048794,48.14004985466026,50.189820190387316,53.921524397034894,54.58087208936351,53.36481918770685,50.76845362819602,46.3149896850673,46.87807083084836,44.21658008496128,42.10088771719276,42.96312475315203,43.816282361407865,46.671320866439316,43.85265729492531,42.781783514185065,45.021283244598216,41.83584192330723,40.2890690124324,38.467190886209785,39.185251566960716,35.35413692020678,37.16643303609486,32.89545136094971,35.853405953665494,31.85658201365706,31.169575337613786,34.568533337613786,34.36091474091323,38.105566238278016,38.187356844557264,42.07711364071419,44.0192094296789,43.89411116254266,44.89791731854598,48.11450999536611,51.22503805230048,50.731332758898404,53.694971069620124,56.21334204856874,54.53355288292112,50.57048515993692,50.53726832461101,47.581409298235606,49.523948733660376,49.12387966421972,48.05397624737417,47.81541558331816,43.99564581040239,48.96073149891649,50.2888046649392,52.21260243692398,53.22054440394703,49.89527950339586,55.40042299828977,58.301121681360854,55.61898654844104,57.202711413231654,54.90833950007546,59.41008099132157,58.251998724844924,60.75935959724131,61.71671718486314,58.50969166671009,59.24311461700443,57.627354794481114,58.428908669030555,59.37306701400143,54.886692178566655,55.9033746447705,53.63117234485865,50.93693917964761,53.31221814491897,50.067397331813964,47.14398563481032,49.53307229716713,50.457936195987074,45.647239296517,45.25707550187384,48.342286949821045,47.174512310280264,42.33313859685236,44.22447497651574,45.549944043599055,41.20494843866666,40.110426378012995,44.1097233745316,45.66687865642823,48.812765670188575,52.15546692095395,51.82530112133424,53.56121365275336,58.73351650797533,60.995265712718485,63.342032092641986,62.576960835393564,62.115480519759004,63.99685108291873,61.1440585053844,65.85863883306348,65.76972556578033,59.98616063551201,62.17162899863053,66.62575745822829,63.30431834420886,60.8974583808235,64.1279621912356,65.56783103494476,61.66247713927043,60.18165283208181,56.61762885604905,56.63338919996636,59.0014606264185,57.08229100340881,57.313671525094854,58.38561941803575,54.93889884656339,53.29139384211541,54.09022700383583,52.221783096256765,48.51314748678782,49.0654348538881,48.58263361112414,45.445301333417966,44.90183147719697,49.01603356185804,47.036383330747064,42.76591103623342,46.58604323209098,50.09990721794177,51.14796279226088,54.038422509535266,53.72853884468285,58.11661667979051,56.83119757544478,52.45448310271598,56.45817414132834,58.602554571084,55.76953800874432,55.30614337484153,61.17839596148022,60.42875090837333,55.95433236516743,58.62763441799016,63.18618087098339,61.428572093718515,57.977230933019015,53.354950852028814,57.41610923093076,53.381745833841315,52.718338214042994,47.925099649949516,47.22197180660309,42.3832035305974,43.429456913157516,45.81514884759057,49.43292917676954,49.68581056323748,50.32887544989839,45.82370080521501,47.97471552449646,43.25313142679698,41.533036657853984,42.936409543802085,43.830617901905754,40.79586835864275,38.76597810883095,39.63807012950572,37.997829619456134,34.56978693867541,34.49672521009894,36.26932066161505,33.83639948640961,33.4753742795109,33.32629012380461,35.154355838246005],[31.35428133106248,33.259130134022605,35.83981352865729,33.42454738550743,36.32819191916094,30.406005735715908,30.111402127281444,29.624967852079997,25.20120775640172,26.194073206299464,23.901904411062237,24.66715765439328,28.812749498231906,25.9942545475579,26.60660728784431,29.69119153307073,31.838324338094004,34.01282760128706,37.04139528486011,40.31840074151805,43.326155590103326,47.52032089969739,48.37978633991053,48.95618232075052,46.99237970575729,42.63776590240565,41.98724823252736,38.01552124444797,36.3332310619518,34.91505592244769,32.40333696291128,33.61852985871123,33.499514911564184,36.90124735455477,38.031332958786635,38.24332864875478,39.13433181410953,41.992949582294635,43.90666707622001,50.102058877884566,48.69395457170393,46.02377828182855,50.3589957257804,51.374748684256375,53.4614255320737,53.95411635819772,57.827887752056355,55.96466765539533,53.09581906585397,57.62453241035362,58.88357238413086,58.80436096616904,59.488746879211966,54.28014319460008,56.64466584437111,59.46006792834051,55.48008171497811,52.71734531844719,56.800723545419096,57.986496921659885,52.643265744296656,51.1254817611064,47.69246924025203,49.095409543073885,49.24271588995467,45.92305947579834,41.66770942299971,37.97395549267447,35.422196485053625,31.269499475224908,31.037951012250993,30.66011642337815,31.915726588036915,36.76711080155084,35.97763537641853,40.816737607417366,42.61316357256165,43.605466675269724,45.14042623751691,48.5124249644784,47.55029385786438,49.95443048849364,49.03626574232382,51.32871541105301,48.64451174967107,45.336263258396386,45.324103825398,43.723826656791516,42.16961185058649,41.411306502602535,38.18498508120723,38.10030991012596,34.2354913020519,32.02357550641373,29.232649111141765,26.227680007454854,24.31828540990068,28.310892316919404,27.85409504043839,28.968165848460348,33.42493449630648,35.86943815359029,38.73927902855818,40.399572391699465,46.02167470027248,43.33704274941591,47.012148461416515,48.04295621896355,44.948599228092114,42.69817536572902,38.94837953027427,38.298041428521486,33.71390928556433,35.4334065716741,32.24090048749448,34.26197721123728,34.77120771851695,37.14603506767491,37.131093915227204,33.593753213214804,31.72549149072315,29.850295977052465,32.01161282054873,31.615743575608548,30.782293154927665,35.88101963130217,35.44031298989099,39.264495241042205,42.39387042845461,45.43256987291226,47.86301775757869,51.37303713116785,52.148931911108775,50.59248357738361,48.39311128812812,44.0202773728349,44.988993445872346,42.39394242770908,40.50888799002139,41.11357522937779,42.412663758487746,45.11806706147165,42.00991656280059,40.77697603192839,42.726682392045966,39.26171060966268,37.84252244574636,35.677840103060426,36.25024666787702,32.362150548089524,33.958106808981114,29.483444948446866,32.130362683459516,28.037761028760187,27.16251594558883,30.67403063722221,30.729047965802877,34.56928705689704,34.76433853886102,38.873574986429205,41.198610938236506,41.015547139038915,42.515852892762915,45.50713438392782,48.86395335764651,48.83614375947466,51.649227888223905,54.449296506633765,52.81720612380214,48.89832071790368,48.587638726924176,45.51945282461883,47.064682041575765,46.36926577950633,45.05308634037608,44.52616117813694,40.65217787589405,45.40492126283554,47.04205553389904,48.91096218857761,50.27484680812478,46.8824865168232,52.51772538403504,55.549435517011425,53.00974874159286,54.53634400389134,52.27551127413227,56.799066626852344,56.063215989909565,58.46422810076185,59.57724768926332,56.20214810853374,57.040724355027415,55.42175468341984,56.15919445780432,57.16122590196232,52.76451563888868,53.63955114637727,51.509685008515625,48.529051816083765,50.94798969402089,47.48135472328552,44.72828886984871,47.45695519306138,48.19719709700861,43.375556966163025,43.507402072457936,46.50490028106422,44.99782556877883,40.49464123372091,42.679557985494355,43.89797741900195,39.433629938141486,38.793451888664634,42.96096084667868,44.53023435426498,47.49138355823726,51.07365559035023,50.36643945368969,51.99563759780218,57.06019521707745,59.3881214706032,61.54905100958268,60.4312721550628,59.85310879655913,61.5199451581944,58.498186859253586,63.25373177992069,63.428546751750744,57.694306265461236,59.67001935071273,64.31634283260608,61.21892943638335,58.68953116792533,61.81453362585558,63.61020442728168,59.83200251319755,58.10429472427309,54.541574578094135,54.100522421247064,56.38287886323722,54.4224121860877,54.365578854032684,55.33387701342074,51.74492048713378,50.388257156434705,51.22861654805132,49.09358463211307,45.492411215201884,46.37548475657994,45.767045561985526,42.60383340830595,42.39839166936827,46.53065540784888,44.48519985499764,40.4194327514909,44.484128279069644,47.92839061949735,49.05541288250366,51.71012068494525,51.237952025686006,55.67984538691946,54.69886829671629,50.39459148864214,54.219253713503115,56.623547890051995,53.9668558289404,53.395829601125385,59.25116677119702,58.847507146374376,54.44063469784981,56.9073315955792,61.5792519368301,60.127211677377154,56.73664776582298,52.2262857019248,56.558347615056334,52.7304040456353,51.95992863094391,47.14021313660518,46.01015637728121,41.13308387784092,42.61207366082336,44.799300445752294,48.50092594542147,48.46460612237126,48.74409139225594,44.047413307821806,45.86503623265342,41.14025155756613,39.38164763720781,40.27113806831514,41.10220917450651,37.776167716631015,36.16526185712177,37.25181927163288,35.27716603814854,31.82825623108118,32.376216290708534,34.059983294139876,31.37811158884946,30.966991782757322,30.865531774818088,32.64726639977173],[35.48987334183949,37.385294777092476,39.77616887058284,37.5240877516614,40.03112125390581,33.9755585483291,33.37278574171084,32.393277950737115,28.008791184252388,28.769329814400926,26.02316787931147,26.32338776300214,30.6509993223019,28.10503041883142,27.842942446957686,30.824796563186055,33.443911257425434,35.132672881534084,38.24464117262227,41.35625996593486,44.22637848741651,48.24066769317791,49.31584969894159,50.19060955441464,48.38132019926792,44.104128290429045,43.58796209661429,39.74681120058538,37.675497305145946,36.107892008554,32.804036482967945,34.210022706710404,33.432498821878056,36.568510427311125,38.25010635688789,38.836268652812166,39.97129261441188,43.112645526904,45.33615317507387,51.36164167674835,50.20343872563253,47.17290159749457,51.342477486618066,52.670885141430965,54.761066962778074,55.57839538219648,59.35020772449513,57.31147391850861,54.835701534445924,59.45977767484562,60.35988967519078,60.3302633135987,60.69264390462618,55.5982191823991,57.56639101339122,60.238995954219064,56.336180235082374,53.34323214710152,57.1723484662416,58.488891744279954,53.07924120583392,51.11865310708345,47.526135124248704,48.909834307107104,49.472805595500674,46.29360655125841,42.10931012132191,38.43289585019378,36.16382545553071,31.937525736454955,31.91741321074378,31.170437918276583,32.04734446086845,36.85598378232444,35.95331856256521,40.19623834181457,42.47916607942433,43.053454550468395,44.99367268403326,48.646756708615804,47.89622644216169,50.72531588345644,49.93794443761357,52.587290349306734,50.07974260838721,46.49448474074545,46.15278530917453,44.228025123584665,42.54066311232611,41.13183010126963,37.94403756117665,37.30932119536246,33.59794432336383,31.504912972200565,29.35699842974467,25.98917091839551,24.86500772525302,28.604889826623793,28.6245694040129,29.614193029224154,34.088792694749934,37.01442773306969,39.8127098160621,41.99121312037118,47.74335339198437,45.485340461540545,49.24101500367386,50.60432338628577,47.76546708258204,45.212399978417615,41.77885072097031,40.93674070392335,36.46925536208798,38.20399207566146,34.74820252382467,36.93607494176758,37.01616179732143,39.59873615567686,38.963751083879,35.28852110310775,33.80695216021363,32.20111644850928,34.87525785644471,34.62838296581808,33.95676000791893,39.04370644520963,38.65001436413173,42.31715712209746,45.39949009910477,48.075228656666994,50.91497819036235,54.21877083154559,54.95878746755089,53.05512068256495,51.18826590738545,46.88023058185354,48.29251749581688,45.555759917471406,43.68281207829968,43.92921634414174,45.24941310821424,47.580510271290585,44.214773538209954,43.127972519100794,44.75494772610309,41.13437904613406,40.04017481032483,37.757995655989674,38.435990587968874,34.6837814041595,36.227580202684976,31.610028973706957,33.832390463703796,29.689441783044757,28.37190356181026,31.929023209463875,32.23429341041124,36.27844966178415,36.310340057880005,40.863290870739995,43.42091683462049,42.82262577710319,44.81956478421889,47.46005435217272,51.16548897159431,51.534170493733924,54.40788910506073,57.39319854682611,55.97647511337172,52.044828399563855,51.59237687420786,48.34530113122255,49.49315327024536,48.503826181070174,46.85805164912377,46.09655599163635,42.01242265188225,46.43769225209357,48.40390459168219,50.369584831478406,52.117464409200096,48.96003110869018,54.678542394332815,57.779415265656695,55.31186693172477,56.49997715738739,54.04312157419372,58.53572697747455,58.13427021654574,60.66655466979397,62.03546631896256,58.62303796000978,59.73995709993418,58.258951951485045,59.05339709936666,60.21783904348123,55.96510302355401,56.811159738819214,54.87812294265121,51.67783466675955,54.183311892902864,50.53710798463447,47.94162776117919,50.96475803886443,51.559905474080914,46.75802986070552,47.28874911234152,50.21050075358378,48.417658229078846,44.223678424803985,46.58891622300087,47.681900839469236,43.150883891197644,42.83909648586381,47.04570079595485,48.663147346024374,51.43410165374134,55.22385140236646,54.29712447121063,55.812489255794425,60.798150563047955,63.10120326563199,65.1687999711195,63.78060199648215,63.140200209122575,64.61060454227382,61.44531375254282,66.22436843334259,66.65125431621685,60.98312935603022,62.747522584952236,67.55354603446474,64.65928826112413,62.01551383473339,65.00630146140374,67.10870888868452,63.44329901455676,61.45340295762569,57.97309977371417,57.106678318179384,59.33068539199412,57.372186721918354,57.00133955899228,57.838495895151866,54.09743900649582,53.09802877319124,53.96728234963513,51.52159303784762,48.09918118504007,49.330694809538045,48.534770602325494,45.356956000397496,45.526056060290955,49.588564466842,47.411057177701785,43.586614842912894,47.853893195890706,51.17392243938979,52.44229382521117,54.902661101768075,54.33843267724356,58.810963667504836,58.07198632754746,53.8911268627081,57.56422149865388,60.16404391907667,57.652898508793584,57.01762553209826,62.837076002585306,62.68245297604674,58.337208317527875,60.64198690313046,65.38701305578991,64.13875067465085,60.78816026364295,56.35383009312575,60.81440757601689,57.09232573603864,56.28379427634176,51.466529698323846,50.12264760371214,45.24619303071053,46.93003410361494,48.995280084307154,52.715965767821025,52.49792065184199,52.58389700919582,47.743153396538744,49.27278100651161,44.528573689642656,42.86032857906203,43.28640294083172,44.070240975457835,40.451068085223376,39.287988207555856,40.57812842193264,38.28296120666928,34.872949975883984,35.973182260033546,37.51680678133152,34.595311489210715,34.081154980119585,33.933806267298195,35.564508621003036],[33.962354772018344,35.525492320774426,37.533423865471626,34.968822223909726,37.12682116230573,31.217816579735004,30.243149173298498,29.2894345358992,24.751243940608656,25.107268058381095,22.252742696498913,22.771594693920523,26.82732711393219,24.147477753843862,23.823556292425938,26.87114058161545,29.388464840994484,31.016046121615155,34.08976817744887,37.22729755485138,40.094204165445056,44.13476412633022,45.18321250156112,46.04498410046497,44.226013177083026,39.94796131811026,39.45395155069592,35.64159108089659,33.60674662227188,32.17033689924667,28.85306684154463,30.463566195133044,29.85703208423685,32.934843593713786,34.47232818501289,34.87735528858562,36.12715548346259,39.08312064201678,41.28077821468962,47.333591832230084,46.107841672991455,43.04573165686633,47.23110162398823,48.52720152951561,50.60625616364892,51.428562318855874,55.198194207697235,53.16359602229188,50.702839111270734,55.34038109867051,56.24402744557032,56.258187626593354,56.62298529512507,51.52645405230978,53.575994921731244,56.20014460865752,52.2506670863591,49.33280583014568,53.210427153634775,54.44752201270532,49.0389375255224,47.18415433126353,43.65056281256953,45.00412610100826,45.45551726598288,42.263100193384204,38.03986269956831,34.36491115389406,32.04712359948619,27.822040074182922,27.799390031238513,27.1638874700242,28.042193951686823,32.87243308398824,31.98818601245603,36.437692783153324,38.5837756057299,39.34365269482963,41.182458679829885,44.76704460132931,44.07539070963279,46.82827610384298,46.1673950249819,48.73816481110919,46.13673533118519,42.58632475142268,42.17341876639589,40.41705996005557,38.596863737496186,37.42451259817292,34.13244144726409,33.65507966448623,29.90060284851951,27.855679737200152,25.525889917071638,22.230634171630655,20.937665161080663,24.993438104443456,25.125355666922946,26.622286718975623,30.693974550365187,33.86812823862978,36.34916906133353,38.69326362821847,44.32429033381817,42.15855649334282,46.06360146374167,47.39180877824154,44.69681938391866,42.13661647159604,38.70065779768127,37.533552964207345,33.052400423238026,34.56431061408888,30.91768934419312,33.053557627578066,32.98361950396193,35.577570016095734,34.83517387606139,31.15057819594871,29.715110548549873,28.18552118399763,31.002969749774692,30.874612499041323,30.403837699204768,35.50313040002524,35.450494102433495,38.954772203335736,42.12641305600013,44.6764873624919,47.60716729544856,50.923577096785515,51.468689878594866,49.555033072856844,47.61361649562416,43.286172883193125,44.86969254836171,41.9378718415602,39.98369612140426,40.07809963675497,41.33652552031397,43.549771080024726,40.13644993278203,39.11078875964373,40.70408377275862,37.11786698518082,36.08823216549397,33.918623749133566,34.77917061506099,31.174949889295203,33.02334590423631,28.560449586056674,31.092967451341064,27.393360394732937,25.666046653466324,28.930293703653597,28.88492966358713,33.00618997215998,32.726193633102234,37.36996941083283,39.71461030244279,38.931502709375266,40.89616899735799,43.49533513645117,47.24146765802103,47.63690392980471,50.60152579091213,53.59723227125929,52.31872233686159,48.35533358612757,47.914766776025,44.58321845146431,45.68441856853583,44.708717829936106,43.06304170563788,42.43535354603655,38.28488223099629,42.81413529422139,44.61885690931965,46.681182506967936,48.314315219459274,45.3577688669674,51.02962095661216,54.07172548752915,51.53565280336319,52.58538102516618,50.04130903810142,54.52347494355701,54.08009669398615,56.68776408009992,58.110194835211935,54.74504826448358,55.981252134327136,54.609542931646956,55.513558271452595,56.82426526998275,52.65951783234163,53.664633168952626,51.91868489119675,48.742098928125905,51.50332926968313,47.93050615722567,45.212490517273224,48.397518694646514,49.217890850310944,44.427591840082535,44.87799455273648,48.03245884033881,46.47054337830505,42.20805861750652,44.67455583007128,46.019706319254254,41.532649629064665,41.14624904773163,45.539481857235494,46.90268681405534,49.963908584068975,53.356031285113296,52.35824495795892,54.0839657477175,58.96538748289234,61.53605198212423,63.38790316494953,61.92270338970044,61.0531830190911,62.435225479855944,59.09970410924312,63.79344778915372,64.31493256399303,58.51846306762147,60.13290342963048,64.929043477009,62.05439366924513,59.264692974474514,62.1190330290254,64.31058547721706,60.676310610625315,58.41279170324193,55.146336588557496,54.16482613525561,56.52724121612264,54.82118457440263,54.44914657474305,55.55864018548782,51.650815831456846,50.56229346906148,51.801010571141816,49.41495643645325,45.78308147616293,47.16938385253506,46.69240281097691,43.55976644933885,43.64399761044949,47.930036469581665,45.992133091586936,42.15285354603242,46.382262479023005,49.81241792996993,50.84550169645903,53.18515258300679,52.34921230308705,56.80772618937441,56.27533529322451,51.87550365650397,55.35918261717179,58.08959674361723,55.60361162544148,54.6604746893664,60.53249540756442,60.520218319910036,56.02468492672177,58.1049575453256,62.98553245251665,61.84859758349094,58.41610603264836,53.99903539592746,58.52833054522596,54.85379764817959,54.305927227269365,49.35545672506493,47.942009072495004,43.07406924272716,44.68927266683549,46.56000021968063,50.22468970651399,49.81460880140743,49.96014401978127,44.94498489881238,46.334163367004614,41.48324834570891,40.18403206083011,40.60155651840293,41.66122575293522,37.968519584871665,36.66854808712813,38.361318466166125,36.24927642715593,32.41107449098169,33.77180447390997,35.7334506368741,32.99272110667409,32.63184922160539,32.650025913126676,34.31671720347977],[33.51421812291553,34.76022897832192,36.50389150482799,33.41841830824257,35.44393942685132,29.87460396962344,28.588807022507098,27.980382990998724,23.224596436529154,22.98080167659552,20.175071498461275,21.31172412224133,24.73580134472094,21.581591263773145,21.45486275375949,24.68335938304007,26.767898493786884,28.262047511044848,30.98336186794112,34.368797600369035,37.08594099002607,41.24652818414344,42.101799321012585,42.79490077975447,41.10436139081526,36.763796348649265,36.47930000800524,32.76151237037159,31.00548280419589,29.975570638536297,26.66118732107983,28.766417335403343,28.483196635404976,31.349637114076614,32.65508818965997,32.63904814415378,34.16522536692251,36.6201828370734,38.68405728980327,44.8374626523213,43.34558124365545,40.19530317596936,44.43173482203319,45.557350636252814,47.46212058787452,48.17427362031941,51.9878026396127,50.14161120078032,47.65809174483025,52.31880874014961,53.38342496136696,53.553014652179606,53.980419129542184,48.87383087446746,51.18397442258847,53.64241230453032,49.533079085092886,46.86954885594696,50.828815622937206,51.78585320457894,46.36502991019507,44.70828101891731,41.33389066364967,42.41871313856371,42.709109755645734,39.639219466737785,35.14008353599789,31.62449362671537,28.94881711671339,24.86249334218831,24.55687439415796,23.849806131451633,25.106619109340798,29.930860343648643,29.422547115433808,34.16780244962055,36.245570730313474,37.38259629497487,39.132839022229994,42.60199249299081,42.112648852384176,44.69653871323531,44.30265467975904,46.6626710655996,43.829648276284864,40.41946586955092,39.85336465663058,38.505486409389874,36.34084873070697,35.63399614885726,32.08684973301369,31.72165090489938,28.013820923596324,26.22648525822426,23.663471242404313,20.523899196822605,18.936982566606215,23.63881982581807,23.931517965051626,26.173390417013078,29.6104926631764,33.03326591036429,35.04674604128052,37.50492121280831,42.89393810208421,40.73276558809189,44.80163119469158,45.94063860218395,43.32978034893687,40.91209018647355,37.33991922856902,35.7973286420184,31.246278335012498,32.33337269337793,28.436225774406157,30.277317192162283,30.04971855418471,32.40456009634505,31.520649600592755,28.063975652022055,26.494761282947767,25.16634822156667,27.938105630906207,28.11951562373922,28.0295224833288,33.17121391195029,33.70096918673459,37.03819180553779,40.374085529428655,42.921073565693604,45.75941150198833,49.20654903941922,49.463460042351215,47.71326105446786,45.47393405092138,41.07448243261215,42.64918537332378,39.43383809522044,37.23741931339143,37.27901061399932,38.19229355866579,40.329184710411155,37.00435221626538,36.165995604235114,37.88298358530622,34.495943304235595,33.483404500478855,31.65887634414421,32.83581882114133,29.44805622581362,31.775156804575605,27.620581716781288,30.655789770481594,27.507303917516154,25.47439861233979,28.319739619126732,27.72385748155286,31.859981098313998,31.146824174039857,35.77094268948975,37.64593992029377,36.653922954846884,38.30596337244041,40.975331191997526,44.65054546996329,44.82508335002992,48.000180450770905,50.86146669967727,49.729815010553445,45.69334948291407,45.41923451496782,42.03524216363464,43.29533106929468,42.4938548118861,40.97680141628472,40.66671947966104,36.46605100639281,41.218611526787825,42.66601464444171,44.8774832134068,46.18775936104208,43.51768806543276,49.06403631370154,51.967880638834856,49.27293985718558,50.17251888582688,47.48863097522577,51.94602879660105,51.22490453053271,53.99992938111822,55.41492712984285,52.19743857132426,53.53207253833849,52.29574571751563,53.367291997659834,54.822601099414584,50.710713482782474,51.972460153603414,50.365179333655014,47.36007651722209,50.38107240936226,47.00063059255476,44.06522247978591,47.25553297747716,48.41017535834162,43.64099652498462,43.743852681396355,47.19153819564471,46.03898706669802,41.542871521352794,43.97147288873934,45.63015646261358,41.24932279718027,40.567053098716954,45.07108033308825,46.16238627869538,49.61052263496529,52.47344391021894,51.58395978583394,53.57943306427014,58.402150366821736,61.213145843173116,62.93319668177271,61.55727715565295,60.50747278927576,61.898879626629096,58.468570238669415,63.04933355098906,63.54464215401028,57.590263032479385,59.145611132282994,63.835985370794525,60.873825323144494,57.985971639025394,60.741066005763024,62.85535591943667,59.19288585957852,56.74660722870213,53.71851389090668,52.837592771075414,55.394080411897534,53.98239727272594,53.749124485104566,55.192592008697005,51.18505832494695,49.86268079660041,51.467886838286546,49.275299728269886,45.380393743471835,46.763903695332154,46.67660030059851,43.60813781483646,43.4416303567411,47.940726799040405,46.2762869933601,42.33023417928087,46.400737900082895,49.97036014642354,50.728603665052795,53.05563708030623,52.020139745970326,56.434476433309264,55.96987039945575,51.31210213307109,54.68170848034877,57.42222529600911,54.878789588397446,53.662015081839435,59.59675392514552,59.567528131681755,54.87947407559876,56.81833804636999,61.7892982633067,60.62267027637952,57.07100799467573,52.61642600919771,57.08623502307718,53.35977972552064,53.14846521431627,48.06777735685026,46.790193378069304,41.950741467841084,43.27492809573594,45.03003642457752,48.59126022799639,48.112647869403744,48.50972195661439,43.3939859038887,44.7965585787678,39.8243467548341,38.96231619376341,39.63468892680353,41.02297006966268,37.40516138140131,35.74401478710557,37.75908214542197,36.01088495382746,31.73841095134237,33.0550461691563,35.49914735096891,33.07354286987268,32.88909546342238,33.053646751871476,34.77279057087681],[29.94173171673742,30.886798262915466,32.299126288674664,29.097305805884016,30.854567343486877,25.379646858604744,23.916676039235377,23.40172759692513,18.58695537523409,18.261030429855587,15.579545627244611,17.009106068108032,20.282210455469084,17.070049498582865,17.444323017204347,20.699873455142875,22.58901899150728,24.537402412579628,27.486191273804874,30.79298314057847,33.77779575754715,37.99729767234756,38.835233812751774,39.44424583984292,37.46810082432606,33.12585656248048,32.5425133677215,28.66013832596752,27.011634229476368,25.943879873688374,23.337557759585184,25.125062590528305,25.407314772190833,28.550536813220997,29.342967459283283,29.113010852437938,30.344219827081073,32.73362267147908,34.63373729670178,40.86393240844018,39.335021026560305,36.51507875836259,40.85533616325167,41.855902738167906,43.92802939594194,44.51117000872877,48.35632793672377,46.45078441899781,43.70763523104753,48.29814283940533,49.47152765487914,49.512360808703264,50.12664681443613,44.94037621483289,47.41990905531623,50.078412065831415,46.00716625751736,43.39132604120809,47.53597336696605,48.55023824962818,43.214952721037804,41.89379907389133,38.604483126549496,39.932257638934686,39.86154202028128,36.53616109810592,32.22882434253922,28.551929182536075,25.938243072870154,21.79648733474395,21.59918825000375,21.56611068573312,22.74500846709234,27.58251726114853,26.80872195752111,32.055266496151305,33.52592803340758,34.924864264760664,36.237568310020855,39.450260784412855,38.68165459908235,40.9556147722351,40.40197592830165,42.55817978234736,39.66866225749795,36.40180371827717,36.13776504050936,34.932775038083946,33.02048801151319,32.79839994451661,29.35372642845959,29.63012656189752,25.75353437450276,23.735210269128647,20.551988902057502,17.856601351788985,15.489445541381729,20.290194066980984,20.204827004043636,22.709111703623286,25.925700383820605,29.095070184079894,31.039979081218917,33.245753382923866,38.52850886263565,36.21456780899129,40.29749892127714,41.31876593759865,38.70039943009424,36.362784281094015,32.71853712522792,31.109960793912013,26.53188361614649,27.60406461212908,23.791394556776986,25.70693766874485,25.70178870236506,28.178858671813405,27.75564917550959,24.137255529443454,22.45449760240639,20.816896096579118,23.527565471662157,23.50194973782616,23.300376266653156,28.4351337679111,28.988644396975225,32.29323481742458,35.64947760377791,38.232624209630906,41.02155547974805,44.49680141772287,44.73762705753857,43.05776170182762,40.751344637118855,36.344029473117715,37.91215157755104,34.73712462873523,32.629330595674965,32.71260315592912,33.86678519175449,36.16467299439937,32.84811426242888,31.80229488465704,33.590189754946124,30.176500437876324,28.999378101622327,27.128728774493748,28.24486826265569,24.829442791879504,27.280975992733246,23.293375219186533,26.67152395666143,23.918287239555948,21.85683519013352,24.440210369723655,23.539307595733344,27.575558249888417,26.85491449851099,31.2785513020482,33.05179730630394,32.265184679452275,33.787897005710136,36.5889398793891,40.14622721833437,40.29938063768424,43.376733942516466,46.26708448684729,45.064509334702365,41.05230933251658,40.728144826955614,37.37462951928383,38.68695172184816,37.95441804802071,36.562590881198936,36.349442357431414,32.266889516883225,37.20934854907113,38.476332189171295,40.61958400123989,41.76528137094492,38.97698689783903,44.498762740253824,47.39057871253886,44.68936274542131,45.76042507489713,43.22097717826984,47.71120322078181,46.95704952354756,49.58935289499999,50.916568432738714,47.64888413009148,48.88227407023658,47.59204262151664,48.63814500944152,50.07850755206213,45.96549354134545,47.2550854076431,45.69532049690324,42.720650293041196,45.839223332971066,42.53409064475869,39.52181981500037,42.76252999704398,44.05018087759549,39.312722187024995,39.360415170697564,42.9277872739355,41.950838658045775,37.43188486209404,39.92311151303495,41.748990545834104,37.44691346126646,36.73943375169165,41.35149990064952,42.243476956974135,45.85826026783321,48.4394677861737,47.46806232336248,49.59101602640021,54.31141414022421,57.301340272302426,58.85871954094809,57.451228274534294,56.262876074144245,57.62211948908294,54.128467136109485,58.644901857947886,59.15094907770117,53.13423855955454,54.637044866295255,59.292588871531756,56.328505424201325,53.38721049132445,56.097440902123545,58.22595628404606,54.58228094103918,52.046981396923584,49.09038770530891,48.20630275625786,50.82655204112486,49.54164638106484,49.380172287840836,51.008777597069454,46.96647572463539,45.498107807904205,47.31036034176812,45.25171934484229,41.19653255876609,42.58937818837568,42.76418557058028,39.76020838903517,39.45872913899842,44.095757895922496,42.65489308210457,38.70314705248733,42.67501847778551,46.31202700278465,46.86664639412732,49.10950340034221,47.903317245982855,52.28095909754722,51.929880733154604,47.13664403565066,50.37940494179105,53.17741655547652,50.65856578033363,49.25885382817668,55.204898226662756,55.26650564729192,50.51487720917876,52.317077347063794,57.349016892455474,56.27198066000838,52.69844625006336,48.28924337979093,52.82726224275683,49.19063013022138,49.09856154939498,43.96808741055842,42.57918335852932,37.77770634318854,39.133459509459485,40.72638076374191,44.25793175847268,43.63722104050139,44.00486312538831,38.81309317282007,40.14352924379493,35.14454157348593,34.44999851962673,35.16630151908955,36.72343896466015,33.15555136349111,31.321907397247802,33.56088500036961,32.01908077468268,27.476707801531024,28.902406532345317,31.649265457926923,29.453310229300655,29.430623613293246,29.77335434227375,31.537825073653732],[32.67550313381401,33.40910657835349,34.40428913584408,31.223628976190003,32.34848284454785,26.996434992004506,25.02339876172484,24.069219060261503,19.357080675684312,18.43226134777082,15.247057366697586,16.340189281369963,19.418093563158774,16.458988715512714,15.720511091440668,18.908320725991224,21.189946343373975,22.543034448583793,25.553488799947207,28.702907798007082,31.559012023533768,35.630980486947465,36.658994685008636,37.547428663449004,35.70113195073838,31.449116533493296,31.00843698255383,27.300944345796353,25.288775456430596,24.200695570754423,20.75311085304361,22.9686734845102,22.775460600338047,25.596337939672885,26.77675163353154,26.73221583462444,28.31946913622367,30.80605807498332,32.98430817690326,39.06089442484904,37.71679769287636,34.53294304213821,38.72773046357849,39.99964920955053,42.07355221074103,42.96767280874674,46.705000295862554,44.635280409654236,42.274718873287114,46.951787919875876,47.79171498384796,47.90781478334633,48.23069512597462,43.15232543468434,45.33024765525966,47.820701423186485,43.78375793840561,41.01383577761226,44.97404215558872,46.04543700094273,40.64355211812765,39.00749374336254,35.61087682683091,36.911595010046774,37.12059208571013,33.8968207827736,29.621285703353436,25.937340397546585,23.572935077388394,19.32876718001009,19.38508190367941,19.109580833574938,19.854471385834504,24.70936114492466,23.807519178618822,28.730409152527912,30.52203379236357,31.714771988231742,33.30836343200463,36.72644872338804,36.20536010665754,38.80580538247595,38.48652802884616,40.90248857312179,38.105659173482316,34.61392043473628,33.97114336526707,32.61321176152316,30.444854544118115,29.8327165714918,26.304875783200508,26.226871872388145,22.41820924735468,20.55822806952113,17.80360245973917,14.791342696705506,13.077531052425352,18.004052154626034,18.561319095805594,21.452420035408036,24.214731057663613,28.05528010947574,29.612011573863473,32.43774969027461,37.68842480788909,35.86593594731549,40.101997585412356,41.385326663131494,39.135921852502115,36.549628141574686,33.246412502962166,31.227281557260767,26.84201207988506,27.720460991654896,23.557249780813486,25.5637419886026,24.978989514172955,27.656570881447188,26.511182150725144,22.75214235037756,21.565290169369696,20.32360741576284,23.65649523870344,23.88001174772366,24.012699962853084,29.004164124643513,29.85298120843782,32.81614858822713,36.142850528618084,38.25970283019133,41.462559870715396,44.72608791504588,44.78460957511541,42.79403743603163,40.756415059387464,36.443433059869,38.53857229169245,35.13060398953518,33.00932911335752,32.61922898673987,33.74242545953044,35.55406611280501,31.96864183974743,31.12398195359978,32.54227985832304,29.025437068998354,28.247582265300494,26.381782004749493,27.75290951882027,24.67101122248413,27.285389599267397,23.39315650316569,26.55679984847955,24.207144812465273,21.446309811528934,23.72388373342689,22.745085366266107,26.977548623213302,25.815359155425785,30.69718558454708,32.48844820448357,31.142596951647192,33.114533664550436,35.515531055425875,39.41745956681191,39.971688870371025,43.14870954969557,46.199984039827854,45.30787767879792,41.30026734073398,40.85224926911128,37.3000897960889,38.181873566553406,37.1870321328654,35.49174363381877,35.17436122988937,30.857656286383094,35.55885166411096,36.98465678830766,39.29278662098723,40.692193269493636,38.3079188073174,43.829696884050094,46.72158442754498,44.048627979265675,44.69116061156898,41.9100650144606,46.34768609943643,45.87759605738171,48.67653100182127,50.2741106707044,47.02283435699075,48.5963154221142,47.521963253575116,48.69415288661757,50.37905690652896,46.49277519362442,47.860917335335415,46.6247928701859,43.503970440343394,46.84884753459735,43.47551699345974,40.549845338106664,44.12043882484717,45.42308781477281,40.768259779300685,41.10494856044114,44.71414341394928,43.65997735679148,39.4152696908193,42.086976776587086,43.94310828811802,39.66722864841093,39.19517296120363,43.89123854437281,44.65981607822323,48.25675227603091,50.74004509906279,49.54994686948807,51.6933458095487,56.24504769292044,59.368379094776536,60.69887065706198,59.02704939541718,57.64127745902529,58.76751962317574,55.05901265146553,59.505318229582684,60.286093202052825,54.27711497518736,55.484254083034166,60.238036527693104,57.47977200974443,54.35983719744676,56.83824825559412,59.279625468180214,55.78047741834542,52.8449658500045,50.136994196317175,48.80651756767128,51.45573867704188,50.36418293068427,49.93558741809804,51.63752593253994,47.377651568182436,46.162211864963304,48.246286931056005,45.988845770272135,41.97579483642825,43.75735746124551,43.9930586075227,41.04263509713831,40.99852304733083,45.67250543932189,44.29558137526747,40.57405123513514,44.64030418701773,48.21127042717533,48.72478495081087,50.71113367198046,49.25797806848887,53.61521554887515,53.60459417383141,48.8099771292255,51.77019499432836,54.79672821772516,52.43633875596749,50.79013775339263,56.69293248389281,57.05820069483554,52.29819370236952,53.79720404378437,58.94509851382347,58.12252944376272,54.556367142032684,50.262897252460846,54.91516470771252,51.43109297036865,51.470040101422626,46.312756058673585,44.7138361852868,39.98341081731469,41.453562926486086,42.79640479770671,46.26410903248871,45.366085544255775,45.599005775079696,40.22956760889045,41.18600245518348,36.167815532834,35.827769028762184,36.1153170057133,37.80518395903046,33.98683719203879,32.482515778130576,35.1347980774287,33.471345647997595,28.768665647541813,30.813306444261045,33.64590824439558,31.41148476985035,31.39646782899352,31.797826485444656,33.426623721016355],[29.51567765021009,29.946292074658277,30.585518950860205,27.36687850496185,28.163425453885612,22.931168578806286,20.753043511499776,19.842965286404457,15.10775559346067,14.05980700030736,10.934603574220164,12.355465413438624,15.305061008066362,12.33677825761372,12.194933090015349,15.41689731078915,17.526794227914493,19.50251100010348,22.852344643992247,25.858938416921504,29.05521232599067,33.17100944092795,34.19326209751722,34.99331939633021,32.80120740386158,28.561380385002778,27.728399623195575,23.80084398875636,21.876579240611807,20.675071341082777,18.16543158382989,19.88621871924343,20.396671132893974,23.583056240333935,24.13417242848989,23.871213641229847,25.046872454193853,27.52127467355685,29.51628380042226,35.68346855723886,34.32370740853673,31.550575615594916,35.8615638284955,36.999057985032394,39.28273864173317,40.02957004739194,43.79739159784689,41.64825856060245,38.981440816497745,43.571873104845835,44.528847371720616,44.47913897596112,45.017759548447046,39.84381861706534,42.198125457438636,44.941204398635094,40.966139064077566,38.22905368929007,42.397096364494566,43.560670832207954,38.26942184697,37.01247726217297,33.713688977402306,35.317420086262146,35.11956980603455,31.59195017586092,27.599622845141326,23.722749928323587,21.503312647614994,17.220500651852785,17.466549715079626,18.067258486595534,18.648543895251713,23.42751486490809,22.169919210511747,27.61272358857286,28.665826638325488,30.122847835166734,31.192288277195654,34.304696435547186,33.42264825547372,35.66831791605335,35.12150509269791,37.320944490717146,34.477324324222884,31.13688775038464,30.883930703289916,29.650093442103625,27.840900896265666,27.773438525764895,24.428023447235418,25.1275888784342,21.163608440641383,19.00388120680489,15.480945014295617,13.13599019412583,10.322788982754096,15.284664498150123,15.310461100323483,18.47830853401901,21.00439015931945,24.50372560321905,26.028481678108538,28.539255614852145,33.702399273636765,31.692916756050455,35.933371006386444,37.102536703435156,34.8334437816577,32.32065406242072,28.95313259020241,26.884976648641963,22.47507382931605,23.38182282012964,19.3265223323745,21.487664483520554,21.185030566862096,24.060987428782887,23.501419025288623,19.51060861659747,18.222369343388426,16.557012101849413,19.854338596311603,19.777204568362475,19.73567817017195,24.69622906944743,25.511369542883067,28.44049573835519,31.772781357122984,33.93050747290279,37.09023309426792,40.37450306819508,40.44957061826763,38.52140921493987,36.4354702547715,32.11691630910034,34.21266397027555,30.88497851910831,28.90253032969943,28.559130138326026,30.01604321938227,32.025448464555545,28.44209613842928,27.319834990117926,28.806631492930663,25.21909338456786,24.236605105565772,22.254382482441905,23.522457246547546,20.379144685552074,23.112162061739365,19.405634260028286,22.929389828470875,21.043445092123225,18.277737818359796,20.234419841408588,18.91293058961633,23.034203614764092,21.89453411596722,26.558771439734496,28.28890154737991,27.21115953360053,29.07611966410039,31.632808263868572,35.409509514189416,35.963825552327194,39.002460700152454,42.10157389857372,41.10738600596148,37.13637431974311,36.61107027940238,33.09790577367673,34.02213247098578,33.085494743170145,31.52029766278911,31.280684023665632,27.099999367592428,32.02043345564705,33.27455355073847,35.487878806074576,36.73021911485654,34.16289404003136,39.684038031043244,42.58353106874002,39.91620446413709,40.78370256503616,38.18788160919055,42.672546152895535,42.189450101029095,44.80396279606452,46.29720048650567,42.968617962691226,44.409940481930995,43.253588718148784,44.376163337674114,46.02333525764994,42.12577353238804,43.495289384571116,42.292426506939385,39.190317684911705,42.61019773775001,39.30536833364714,36.32136381348629,39.9385449329467,41.34873823027987,36.740563181853595,37.051474317385676,40.74492500213596,39.844313629507866,35.619808315453874,38.345233660688066,40.33579351902926,36.16294415383133,35.6964850562471,40.4555397419816,41.04000168251855,44.75052779101517,46.983199012183924,45.70673380900575,47.94763901652653,52.38774396449986,55.65854769083022,56.838854588831694,55.14117604334622,53.637344433097354,54.73595611376504,50.98204547828908,55.36961664626211,56.15236930249043,50.099955614666726,51.26457470721609,55.985031638615155,53.228842036808786,50.069867504045504,52.51722211805316,54.969759190958975,51.49182977518285,48.49231665574,45.83114006072771,44.49642857285155,47.19470754875461,46.207162829310754,45.849665326228475,47.714566298095605,43.43825489792655,42.08160856406224,44.34599701163013,42.22482075393057,38.07106693013305,39.85248818962323,40.3332153088113,37.458852108446365,37.28902704527514,42.06739193901457,40.907276456943954,37.20969562550387,41.15748174780565,44.76885277960868,45.093514829374435,46.991747823350785,45.387841083639735,49.70000933935875,49.79177906349251,44.89433588529475,47.72918898553975,50.80225186629493,48.475352955916904,46.67277635657732,52.57036260531122,53.02206145099939,48.22701630928294,49.59911895622092,54.789103849476525,54.05605309588862,50.48917886922738,46.25835219063262,50.9702551445463,47.59491662522807,47.71940255705798,42.54979447678121,40.829841782269085,36.16511709276274,37.68962363468791,38.86342431375953,42.29496301933314,41.25803876166923,41.431364407477844,36.00522118634181,36.8760363367433,31.848094600346663,31.657747447140565,31.960780572450684,33.80440006145344,30.04760692243045,28.39358811544951,31.261567707031656,29.803445678130092,24.869315481252507,27.05091934787918,30.14240320413257,28.15571378485055,28.305869396848358,28.87594256765937,30.524736095964872],[30.365262003104363,30.89159144928989,31.99718892817231,28.049837174766044,29.72116319059658,24.949734327057005,23.152885934250747,23.346147027569973,18.41382692538155,17.123843961418604,14.837682187609444,17.36365782627883,19.32553360239656,15.280594868275706,16.28025615940532,19.718860546716808,20.64927425109353,22.40961066082759,24.626016314711222,28.37544662864026,31.074910881502642,35.4850137868826,35.952156556180064,36.21404045409391,34.45997594178283,30.016985392442002,29.797266054998836,26.098894893389485,25.061574762662758,24.74860029267659,22.36242932863083,24.85497020536564,25.682062476758855,28.41587265032599,28.791411396999283,27.854983056246134,29.468663430132338,30.958158168156448,32.557920491310114,38.91502027884419,36.921635815122166,34.03049657974445,38.4418641140145,39.10403442243438,40.8611458829381,41.200435234572026,45.12825941356557,43.57955257807387,40.74984679803836,45.34454255929526,46.83910014785637,47.12654574993958,47.88201298007514,42.696614514533955,45.62247297385515,48.015390043274856,43.704861077623406,41.54596839742502,45.80305975497415,46.3507355578485,41.04324389550987,40.086624615835625,37.10429505367291,37.97045145106378,37.613648873912304,34.52629699771267,29.79349142252918,26.464962952679098,23.200783423241838,19.44279430877034,18.640647729188622,18.53738759146166,20.495030800890163,25.187018717070313,25.122326748803804,30.76054161725205,32.07473565490547,34.06233532616802,35.198210364565,38.16311881784323,37.70190011998468,39.64439035463666,39.48749068711477,41.25206572941277,38.00789192580662,35.04596969717707,34.58681951948801,34.07997858257413,31.67524855708155,32.23535237480144,28.479158299997433,28.941703944706788,25.266600466056914,23.72980778286274,20.292111682101698,18.06715814760651,15.300027066323318,20.816831878543997,20.91179814376126,24.303313460219798,26.52172217272585,29.852990771053115,31.103055875619898,33.33208783518264,38.1502290139397,35.79760960006465,40.02766998971362,40.696902806544365,38.17109166850057,36.14598363273214,32.29872770173841,30.213718654235937,25.599772716249536,25.940632214184497,21.836557202994346,23.122223468328926,22.941526008620716,24.880190797771103,24.34775426387985,21.247963602757366,19.19861149799184,17.910822761815915,20.328840264151214,20.8717323258173,21.34042873090358,26.46523446807207,27.95399768330107,30.982399518143264,34.55350381420022,37.19150764953617,39.70475898346262,43.39141250928231,43.21511754566238,41.875218331054384,39.06188323946178,34.566231031548654,35.97912151678991,32.4067548623858,29.889249798611413,29.987176284069847,30.49968856385567,32.75793145669293,29.678668153841272,28.945648484229846,31.01967839296115,28.02607480410268,26.818061579223485,25.607136868944863,27.196136904446103,24.19001031819526,27.303528313057477,23.943848781301913,27.93710947701275,25.975753674839503,23.73844087315345,25.655398337758744,23.992758387860068,27.855218473682967,26.551042589146228,30.73830058951974,31.702367536462262,30.680003176863384,31.551645994688055,34.521416543823854,37.858478860057055,37.54772401142526,40.946209040519214,43.557233333840614,42.5390254210434,38.4269233510816,38.41906725871629,35.048711845788276,36.710593908781135,36.328125288617024,35.22103307987035,35.538846295244575,31.490910264498822,36.72279570323444,37.39053311203574,39.71378194603665,40.29419448026292,37.92629941070996,43.18357087644196,45.8311715457337,42.89262750147902,43.789308182240354,41.08047376079088,45.50773150561503,44.244189600907404,47.11475023197539,48.37283340017871,45.36299991052909,46.68268713805868,45.57569202305263,46.85603886912956,48.46039518489695,44.414396132188934,46.07561095007786,44.668886638468535,42.02910401238165,45.44011628984939,42.47996586043078,39.17593313772964,42.289530731584506,44.04270478496168,39.39486583777579,38.84945175406322,42.77861512152334,42.41915435339426,37.58136243213985,39.9133467380969,42.13853799713985,38.06107948542129,36.87906970060872,41.525604485580516,42.05781423946729,46.16405777956099,47.995813429884436,47.26157438461759,49.73058913808556,54.366362461996665,57.61524838275711,59.04524613541827,57.84393881230065,56.47259359182555,57.88939390802418,54.351045968407874,58.68427544621622,59.08424239496745,52.899661107540936,54.373984144115546,58.81457675491042,55.6983207461402,52.683924916060384,55.28037353276402,57.20233007995218,53.50790653250524,50.81697551723628,48.18903501166198,47.57077982243443,50.44180260161666,49.54969301801462,49.64441275522031,51.69433169186338,47.6147533262475,45.79081003786914,48.02083742325962,46.294630692173726,41.94470403612999,43.22062379098088,43.89994055688196,41.023256674081395,40.33203237749762,45.15682082860083,44.075610427577885,40.00315284506268,43.664531164447354,47.44163314490834,47.6405286606248,49.905324106373556,48.511596524791166,52.7793896749875,52.435523536864004,47.35044658259029,50.46723870221065,53.18723427634635,50.57223738538131,48.86543425509789,54.850733516819155,54.80379575073137,49.822443435325816,51.482799357428505,56.57159207377376,55.386740160280695,51.66530029731714,47.20874939210389,51.574323586679384,47.844186397309414,48.21974249322179,42.96593798417302,41.87193892352128,37.17354257450564,38.01704130689749,39.48408177375982,42.82545222943824,42.18817728758013,42.98244656926603,37.758279420856695,39.18650029204372,34.082688743298185,34.0028140380706,35.194846665636966,37.16370885256292,33.848736478176235,31.46216189200499,34.0068881448909,33.04916160690843,28.0882921813757,29.23434580847995,32.55018267999956,30.866376700511235,31.074223108851175,31.577845065602624,33.3728780077897],[29.15996617495243,29.309819342488755,30.107755154845808,25.701131343611838,27.251627141038625,23.060608203914917,21.088386838958233,21.865295234554942,17.015108541646054,15.184732350276686,13.51257112026725,16.807991456353115,17.77101710609831,13.258969129710419,15.188599500313657,18.57918689370363,18.655431081513438,20.63149229681725,22.44516953341254,26.381096805241796,29.041386234679553,33.565179246925155,33.76557786813216,33.718788217292456,31.92674618577159,27.451578504709495,27.25832045935139,23.59912690941222,23.112001719008326,23.258079177109867,21.624535498931483,24.187706034427364,25.649107242320525,28.277769620831233,28.098553530999006,26.641886175309033,28.21830167588213,29.10076042656923,30.353195302122895,36.78684546776432,34.483627397719076,31.833285241658988,36.32433442153686,36.664246903284464,38.315875186493706,38.37868620512911,42.37219485118449,41.0372379683179,37.95818607982194,42.478861796604114,44.272085076500026,44.61586095219966,45.59914381972629,40.385351791814216,43.68655997268967,46.049800712576285,41.650256545912,39.81912412048274,44.229294445900706,44.53592111999911,39.346524168713465,38.83078321999723,36.115519350975674,36.85053261151721,36.10223376742372,33.035059820560086,28.23600457306562,25.095069172633956,21.516066539847255,18.1245566484663,16.985969820578717,17.319592756786115,19.68925589183516,24.127065582100307,24.34385546238145,30.365555094470945,31.201633693731914,33.63493728061258,34.389964238846,37.011390713871855,36.53841343192483,38.05657190674519,38.00024722990676,39.373539231957146,35.910974386992244,33.27763169432042,32.94249928293333,32.93986839367316,30.477870436680952,31.769659874987557,27.99706708652319,28.927326184396758,25.366015596116608,23.990454711721373,20.187294538393196,18.607531506735075,15.327595999289997,20.917441364512246,20.817018825664,24.60686602524481,26.18627551685876,29.28427615036074,30.151381825581613,32.11763492572797,36.55338895063245,34.043905609286824,38.2894306233738,38.641883671569666,36.127590250225715,34.394499730045794,30.385747268766846,28.081669796186034,23.484172719367283,23.36567582024062,19.268758678113045,20.109801546506436,20.07490241341045,21.643229007226253,21.497472392862427,18.74261017878714,16.289658268282214,14.992075424520202,16.946759022091967,17.71859053819365,18.532049779221538,23.583199895909832,25.623163306541777,28.47322807582875,32.150894062358276,34.89689470225734,37.121555558883045,40.9583680438221,40.56242154979219,39.5247953123929,36.34643636427405,31.811134191057043,33.013021256945905,29.281187328688194,26.56692059794437,26.794267109609073,27.02978034882782,29.448269347959645,26.604059667918182,25.91606057113246,28.27129999718753,25.588748061531188,24.20288951203773,23.416335451351447,25.19028788583445,22.43928808428981,25.91689106014427,23.103229861412732,27.524073035810716,26.172997154218233,24.01630761676806,25.43020471809523,23.257392979062026,26.818783637696534,25.278800503343255,29.04523296921304,29.44468143122448,28.511006331559543,28.805597170141205,32.00174190505311,35.04573038659668,34.36159288137733,37.86815074069912,40.28560181107084,39.285315433190675,35.14015620604957,35.323859087846536,32.01851262655859,33.99631799928743,33.916438017433585,33.1153375976615,33.810881613921445,29.94883199957928,35.40633862065587,35.604179880837,37.94022001121908,38.05763469880341,35.82196373686194,40.86596937675556,43.34828414328026,40.28085430311276,41.24055299870955,38.57286288599854,42.96396213310347,41.33796720841412,44.22693874258756,45.34226002260373,42.465766795892065,43.7135193115417,42.650809249948104,44.02684726785129,45.667827771841495,41.64083803934593,43.51111154567407,42.17059723977375,39.78763482676362,43.3509090777798,40.66342447641742,37.1712410158061,40.1498231485814,42.218736649367045,37.67269569138799,36.711821575735726,40.86517575703449,40.95873724001296,35.9423853755334,38.15583225186506,40.65995211301532,36.79394506549244,35.30886107290068,39.95673930398008,40.200247900844786,44.62851399431534,45.90203978578465,45.302196869192656,48.00559241109963,52.54058333569532,55.977021943027445,57.28793236058269,56.23307834546162,54.73519378187977,56.197884939065695,52.660447715561396,56.84912870577632,57.149225378698446,50.87304697370384,52.34659816578371,56.61174839322206,53.3898691837263,50.352738685463784,52.88862937446489,54.64021920018949,50.917839853234874,48.17347281828657,45.743082375193374,45.35574344727913,48.37702970981523,47.74153337194794,48.05754253062853,50.39952638517077,46.35152323048053,44.235445314160486,46.73167241753585,45.29818729956014,40.75036128828792,41.88829493963724,42.95279899359888,40.20185685614499,39.20037719354133,44.132197166180156,43.35195466589383,39.22683217819913,42.612173046199096,46.4682386227064,46.38240914272185,48.64016835745499,47.11364131875258,51.274379369408834,50.93615240477025,45.66366363916919,48.670660226748275,51.319821601362676,48.65452476372207,46.736610247279515,52.720938376516585,52.608413261015485,47.49486157008416,49.04715362071674,54.15322504869304,52.916667232455524,49.11661699620248,44.66101125365516,48.91877756022797,45.17518258688389,45.85652319917355,40.54822866628319,39.613158415807426,35.03039211232451,35.55643979080639,36.89168220738984,40.09005861749659,39.41972682661799,40.469423930557156,35.26014418561703,36.76107262706404,31.635098880527856,31.95788271785902,33.5104502468011,35.75135639183644,32.70047230669382,29.893601885007755,32.61600655118915,32.12981017458603,26.93277819878226,27.839147105994456,31.550124856562817,30.30722011405668,30.71474259350347,31.369181417439982,33.18048675188373],[32.56492535648951,32.37036778951589,32.90833076606513,27.86152548729227,29.30654371862945,26.14896028454953,23.971332023438794,25.388303066649033,20.821483884954546,18.157467537053645,17.03427593586234,20.828998142280888,20.42243101489147,15.541685040888156,17.592496564147005,20.80464057441054,19.763740272389274,21.001433450671534,21.422396469376896,25.867374481965566,27.8256558420022,32.449407781511425,32.10128093871826,31.571121317432482,30.339857398985018,25.861850257485177,26.43327721940125,23.35589595483876,23.71906351513321,24.887814115741676,23.22538474239735,26.648800341654432,28.34668138038748,30.259937221737133,29.85815303303574,27.69812112167333,29.860818928571003,29.563192022442653,30.448126685409775,36.80106068836426,33.93259613835828,31.061204208660712,35.46238941450219,35.37494829506634,36.42359588338449,36.19423216220289,40.22557361538591,39.474157116149215,36.48747993508034,40.97254848008964,43.1290985520073,43.89147438967304,44.94257877968661,39.877371155680564,43.626734984054565,45.472824439641606,40.79860441656729,39.61456470352926,43.987251852498275,43.61457028158173,38.5191618627293,38.34355878978952,36.07032723658594,36.02978325999664,35.081194987175856,32.577366117592945,27.232865861290698,24.844984908131927,20.469378502747126,18.007572701565948,15.94528194042219,15.750132870624345,19.204015287433695,23.09033478855582,24.460234587443882,30.474193941369855,31.37286164629609,34.36471003628908,35.09039028456114,37.44898179409322,37.54107947130057,38.76258850359311,39.31846401230527,40.267386712758714,36.45866024326952,34.225706443453774,33.462310420369384,34.2895847082431,31.136933997834575,33.12693020980099,29.05611658720277,29.866863538426575,26.793860357185544,26.16036825341952,22.614543375473275,21.424089992038127,18.43595530243644,24.25270645300605,24.54941425830345,28.919525671778764,29.54721029606331,32.88030293717576,32.9654743740026,35.06638029248779,38.88112283150925,36.511627018267625,40.82574835271312,40.82216542082965,38.522983062065116,37.15138522171355,33.10231209766363,30.316703558189992,25.952849051525583,24.901058702678807,20.652974291674056,20.44951431829575,19.960530333096777,20.445163490091712,19.785781540695403,18.235799755184622,15.489370842719376,15.208986051651147,16.487829200347388,18.290532519059994,20.113102332599023,24.72901240298982,27.891039815645755,30.234224306403235,34.02290768349848,36.68572155522045,38.55278833535155,42.5329161136169,41.5939555673323,40.9645460807818,37.258997248687734,32.76615799038378,33.761159024859666,29.567549608214687,26.310922329543885,26.485785988398167,25.532903687331274,27.667031109362956,25.297572367100493,25.282109980760605,27.901602733658116,25.979281239990073,24.7519207801592,24.95362554797155,27.27948708884476,25.228982728215286,29.210163866187372,27.100406334439057,31.779413326227168,31.036249087651473,28.72986203839149,29.598535108267452,26.905471095436997,30.196347682702598,28.049845606913276,31.50920485091081,30.93709991038119,29.580108070994147,29.060565058191422,32.268073297455494,34.98897287378329,33.68792651140962,37.633690560568496,39.586966442630036,38.9416866607154,34.744433372970455,35.398944437964545,32.143436770732436,34.48530366982758,34.829185202213814,34.34425437122326,35.637894333520464,31.87681453631849,37.39780557731553,36.94023680512611,39.48836199597064,38.97239439368961,37.437907695657856,42.0222789177081,44.13413131835322,40.819316605871514,41.396738659481755,38.46086640725594,42.648863597625024,40.36179540247246,43.62786731366315,44.69051319954149,42.261558056333286,43.68509043576069,42.94469559477897,44.636860254572376,46.495015366212066,42.66073843424751,44.969717016103914,43.860750261377724,41.92530064180073,45.74351729674345,43.4822485490546,39.76981593969659,42.52772138180817,45.04909227481655,40.697374058057186,39.110682939475055,43.546149129996174,44.266788536192735,39.0307900816235,40.9926265436816,43.83034066013082,40.261840430993296,38.31060856671978,42.847867036236664,42.744026786860644,47.590552790061004,48.06564214435637,47.785607021751545,50.80218333630817,55.20510329196367,58.838002516704364,60.038699993317515,59.233726758373884,57.58167075175734,59.09127688538223,55.55240312435175,59.49668181744545,59.6831920444416,53.31105243348575,54.728786335727925,58.69972590496662,55.34802078971315,52.27242343667438,54.62747272745506,56.11380889926702,52.3834374674741,49.490547725833004,47.5119184965028,47.42651699256021,50.67709618957546,50.48336197522845,51.04167801852445,53.76472894895223,49.722649973149004,47.31942604795377,50.185772995260116,49.0667855019073,44.338230457258994,45.35589780405615,46.8475556905161,44.24977069488074,42.92846930626021,47.92843679807073,47.455216426170665,43.28071169582973,46.33190390173486,50.254042409425566,49.85913884652908,52.12788545866644,50.4637322126487,54.457990498624994,54.10997929871106,48.633136923703695,51.47873042461574,53.99076049780449,51.250199617181096,49.05401494957306,54.986859755481575,54.725505802924964,49.43325444825009,50.819068906037685,55.90279560395973,54.525947223053855,50.60662238680125,46.15836924460774,50.0939553947625,46.26345412327665,47.489294161782155,42.154699496171915,41.64900572037124,37.30162023472807,37.1640803966634,38.357882634545476,41.233318643766104,40.60386890811778,42.1828089115586,37.093326544845375,38.67511456733637,33.5941178200144,34.60793675782792,36.60502436428647,39.18162749838539,36.43699231473777,33.226585380324494,36.12985899920366,36.170232131079764,30.809111689467404,31.39271399952055,35.45248468552853,34.650131553214734,35.19929281053028,35.915596506335504,37.68953114025484],[29.16964050926101,29.597773588548254,31.05505649089075,26.396149295552004,28.990915839279452,25.079053811677742,23.867915872670984,25.358696052464893,20.640257719964158,19.414804049398853,18.38875382273843,21.75876386265354,22.77047127204328,18.196089744772948,20.725433794019875,24.054949315387884,23.70745836932292,25.777338280688614,27.02928611113641,31.20871552386368,33.609500347845774,38.21681015424434,38.06144706524453,37.603002711966454,36.03881749407847,31.558932198826007,31.605520286050897,28.100302368307165,28.147370039187773,28.54514485920288,27.234002562177412,29.75808630839356,31.327200379823534,33.96449968572983,33.70991721267921,32.07519881191058,33.60231700921779,34.14410715693481,35.08550629480988,41.54040048470652,38.913899991794175,36.45010295821007,40.955006226356176,40.93307783360153,42.271218891415685,41.943452050560154,46.00298265206509,45.11035285879976,41.79984551822753,46.18185167180969,48.41648393411761,48.87763297338801,50.1076625164994,44.90859513555918,48.55986405768617,50.82074840994247,46.30959279687506,44.82189275492227,49.287352439506265,49.29171043122373,44.18600668347909,43.89993559151978,41.36618774951744,41.77522172174173,40.907288549960136,38.06456116600628,33.02362595868294,30.20570364827922,26.23671314351489,23.24187060566609,21.66463049701339,21.61490976790983,24.59499139670316,28.848620391709172,29.594595670758498,35.589966263003326,36.51676959481155,39.11742094404384,39.86339119052877,42.36736730784973,41.9561945105192,43.23481993238237,43.18919018209609,44.27146808824163,40.66713327878052,38.32976790299975,38.10689665741186,38.380023368902826,35.86454164096193,37.385711870143275,33.54885917999547,34.376365281823865,30.91150351550883,29.64696184676697,25.88578554547741,24.237216568199518,21.002624135762044,26.51344388018974,26.181725023061116,29.61453493648648,31.550184572057006,34.211981487784364,35.31226709230285,36.80327536227601,41.12677995790858,38.20182581659226,42.24822481087167,42.22404555173973,39.35022509638964,38.02511404187598,33.664067624542305,31.777990685158706,27.120431789686595,26.968036106342034,23.353211862249246,23.706438054896488,24.147024764140532,25.00626845390198,25.34227463975312,23.277589099401403,20.39235947194505,19.14630142607729,19.98237383015164,20.807464766137763,21.508263201371346,26.451450209765717,28.42956416595647,31.518831800914587,35.20736496321942,38.46572578898886,40.03511900212428,44.14853798700489,43.804151165571945,43.2718070771761,39.64494890408934,35.069743834592536,35.470734398125224,31.933747449981166,29.05109264634712,29.892759681399976,29.616183536684503,32.44096773220338,30.17619955546599,29.58434640921138,32.36961206190213,30.09678967468793,28.424303291330332,27.93965062420425,29.563560767662178,26.693318622749658,29.995888419603762,27.22196986180352,31.71867851892399,29.942882620137393,28.439192749729813,30.151342072115472,28.11813333709788,31.446991179721696,30.235240773069478,33.505200599977606,33.65918513986762,33.14710379042906,32.75457334816418,36.29695294407643,38.84401900868884,37.462930291755164,40.99350539212741,42.98016154238221,41.740299675288625,37.61294618656478,38.164485327881636,35.179123102442624,37.76823270227811,38.10271510991392,37.68726091587796,38.605386102059846,34.98707672290709,40.5706098727523,40.52195638560655,42.75805799952648,42.49024930880452,40.08607571437151,44.95062760918228,47.29567602742363,44.14393474856076,45.39369785204297,42.87558417379032,47.1970727404185,45.04755554213497,47.90518283325357,48.69748004805364,46.01602499250062,46.93362311140985,45.745921610605194,47.073568928149434,48.46789982548462,44.244493165100664,46.1484467204302,44.44872742420437,42.438280406741214,45.72731937834134,43.27646260376854,39.649502417811874,42.04629296966912,44.203538578805876,39.64109877952509,38.04405453185151,42.17843000521128,42.567550754716024,37.11535587324005,38.91069742723218,41.43644113003042,37.656591061019405,35.62188270991996,40.02216462274535,40.37292985582992,44.93564736438473,46.10412307850229,46.014734312535005,48.76239397345755,53.51028126113543,56.75540776738572,58.403827238335815,57.83359830083646,56.60699649614802,58.40669404439148,55.19159593019185,59.38922465098296,59.27871102415925,53.008499342890225,54.86796306811142,58.88636538427286,55.350345286797534,52.578081968982026,55.360292045372496,56.56954335092777,52.652692499659935,50.45466425896112,47.84874438343941,48.176578761439785,51.19837098810009,50.424450183397546,51.134127642269725,53.42780012210391,49.68214882737317,47.23054052850359,49.412676778301964,48.28865930354978,43.721259093260635,44.312638982145565,45.33940775685905,42.567953850625216,41.17494348660324,45.9941834142264,45.16081532706994,40.740047947332485,43.875777880055374,47.80004713170559,47.72873976188419,50.365251457060616,49.19450387845855,53.31309973106979,52.46480151023363,47.19296986625153,50.56200382372592,52.804867165042054,49.88640841796656,48.28735950400818,54.279192556593856,53.635553114497036,48.50364500369696,50.47436130460098,55.35884292804787,53.65979748261059,49.815650496484565,45.18452620216526,49.0770637989316,45.02193383879749,45.70450490336711,40.45826594689502,40.10697858417387,35.52949132059923,35.53775517219589,37.271336441090455,40.41850465109495,40.26203291593331,41.754505340004954,36.928411228567896,39.00895157066166,33.9967057358593,34.0180344528505,36.278539285104245,38.37489104075768,35.751978660057894,32.49532606237845,34.60918340146656,34.407747131488996,29.536835127621433,29.41541530026903,32.988401868279915,31.911576583308744,32.29759517322694,32.82287814610581,34.737395025105805],[28.864530729955987,28.81109614595195,30.027025261203857,24.710438743613466,27.508246635523992,24.855023527016627,23.81190182513946,26.2996831741917,22.088115615576058,20.54016896884161,20.560132614069726,24.486608582121324,24.324710615115475,19.62331285862729,23.099730669363957,26.128946344174793,24.646561190985157,26.844428920762375,27.24907971512964,31.56573528919146,33.685240469175596,38.320282781285286,37.647218292516754,36.5800314216765,35.13687381298432,30.79149348168763,31.00644923662092,27.826281850466174,28.83279113613759,29.895962524363405,29.601395150381432,32.12187996776844,34.37134465666827,36.80981304129536,35.90789314392501,33.638088855708894,35.07113460396074,34.67514543159788,34.9914848992189,41.353937839604804,38.225302723168895,36.238800937158864,40.71648406081164,40.08570361581044,41.08101874171116,40.17710058120226,44.26827293283175,43.918736165473604,40.23309983457495,44.33987221420521,47.168132160892846,47.7662691722441,49.3982973953381,44.27634227779046,48.52126399476183,50.64287515485106,46.04034201577159,45.180855608776625,49.781603474851366,49.326257483319644,44.51417047416763,44.903997146028075,42.838660005240996,42.93387014196327,41.534439390859724,38.89669726227306,33.82832659845276,31.498054516725116,27.180588196648124,24.980007163747906,22.952942350859757,23.250228084776417,26.731455496785046,30.40618520753617,31.66088596642154,37.90297053485164,38.27505374694289,41.41721171683885,41.69065520143731,43.669574828339485,43.29382925116368,43.90985850562373,44.01996780672957,44.44182802920497,40.566986170959616,38.85835030133678,38.82744385974785,39.85105707748824,37.2919056097529,39.740841561148336,35.948409307890955,37.244756326032345,34.02747746722471,33.01547480954819,29.016114800878245,28.036987959937786,24.480933711567424,29.83123050364109,29.268227004574285,32.935242104059625,34.19288875433764,36.388759145683984,37.051638606504206,38.01895080449944,41.67339013366194,38.464761998818304,42.34900889738241,41.726322088396785,38.80173597058593,38.09923491736598,33.51598523065429,31.560739909907834,27.14243087550046,26.31420784787508,23.187015584103197,22.608261522583945,23.446082804692878,23.290802497466792,24.40501176025761,23.34179308335362,19.982137876665085,18.93009083134061,18.334922075659108,19.498062295086424,20.625463878538813,25.005628773946096,27.700312473260592,30.473418461233013,34.18200577889175,37.71120398534768,38.51687836593921,42.87863791175738,42.2228029051929,42.37368303608273,38.09686849229527,33.59136670169253,33.26581253522318,29.689895187050784,26.51204869364924,27.845178192923484,26.82021156001804,29.986112354877058,28.499131130752584,28.076926810922394,31.34761530490239,29.823667032102392,27.877513055858127,28.15488460176342,29.89261344940327,27.48154291407418,31.028328437087374,29.08636127130142,33.94623560512856,32.825300423187706,31.62820965299692,32.79947183159697,30.28998895542618,33.05045649521539,31.693041628532715,34.11740119670918,33.38406813609305,33.171233964494355,31.674395171439173,35.55329754874287,37.368502492633894,35.11917361547078,38.74338219709695,40.159436890808756,38.871122084772225,34.80247839214696,35.839787799638536,33.20733511237066,36.476429486217505,37.4263928615961,37.6134296751893,39.11227820704228,35.937284655433025,41.69488876359572,40.92947743192146,43.09663889473714,42.03693602829614,39.8332219977477,44.191583556128045,46.18214515554411,42.86856045069244,44.290570295859794,41.94294930504364,46.077773455197345,43.19952129850386,46.02485246136044,46.44283168473834,44.11816357181846,44.76671223321832,43.624081775655775,45.05885983690425,46.37954428119756,42.185231817886375,44.39661248391364,42.6778419378727,41.27339820001998,44.60702588002332,42.71614001390884,38.84143531761782,40.72102261608215,43.35211256546199,39.04304146483849,36.56937411873427,40.94482995646431,42.14111637780148,36.37182170305104,37.74927169423595,40.65628007620076,37.328944615848556,34.64510720575212,38.81953418945255,38.75111317566771,43.79087141124364,44.002684423726976,44.364702161351346,47.452871500470316,52.066260904986066,55.476888325043056,57.066252684214525,56.9273035802231,55.63582220812587,57.61839934111886,54.57473759829723,58.50685136973892,58.080624498709625,51.75629875799206,53.74723459666837,57.344024012510964,53.55607561596311,50.90117455920567,53.65336106520226,54.346139074976215,50.3511765284988,48.34326297781439,46.01765256449727,47.0027788640417,50.19952478907144,49.76620339011395,50.94365040414213,53.603725694453715,50.07341612760076,47.12214415620649,49.52833951775346,48.95366995755012,44.18865021349524,44.363252065828526,45.904503642010766,43.35793290839322,41.40868985976768,46.23662066744224,45.828492002745364,41.31370126147564,43.88426603027518,47.877647719037306,47.39412506181222,50.128171740280905,48.922847162717495,52.8019128724157,51.76819794334716,46.29996352511539,49.59584963704829,51.52614074751965,48.46566555371821,46.70281262970376,52.60449151383503,51.63371574463228,46.35723566309746,48.313421364477826,53.06063898251236,51.08830462854374,47.14568502295629,42.50327274214762,45.978684062392134,41.80167827745708,42.995410658094436,37.77995661673182,37.990295980862435,33.723413260954764,32.935380331142845,34.604345058438255,37.40980256199754,37.46125911877618,39.56237065032442,35.06453905412937,37.47005738811324,32.634511624785034,33.142936803247466,36.16319537481605,38.530875237202174,36.51839733986501,32.61294284176536,34.66021582713705,35.244186074560815,30.358243870043353,29.49185611142093,33.436726562956245,33.0789666104604,33.716009791082314,34.37127470333437,36.26240397377873],[26.285288367127187,26.88568051907295,28.950761993813316,24.248297255260375,27.918850542140326,24.468409923220023,24.233556141556928,26.507080965782702,22.263190193225636,21.889445471744093,21.77259765836749,25.160632125752695,26.18140960612927,21.849619811306027,25.303505745623934,28.417179473434548,27.66833958790214,30.332016618671272,31.50201625601065,35.59842256075911,38.09929885106464,42.717872705675056,42.32894655180307,41.496736453016695,39.77335523658778,35.3979235839574,35.20090132730976,31.662423864094126,32.18620930060395,32.56444009423757,32.273292073915385,34.17652599682791,36.1865149376568,39.14041570612117,38.47077244796963,36.71003293344223,37.72246024583359,38.133805571686416,38.65194786248858,45.078233624655184,42.27490067023672,40.45265652130165,45.003322921428335,44.59318211613929,45.90536394191038,45.10792000685211,49.19861351817989,48.575494486302034,44.76948006561363,48.86435452872992,51.56681883732826,51.895128696355826,53.54760291445677,48.31977452765931,52.32512791860957,54.79104393218514,50.341486624861574,49.0967591752961,53.7299389399788,53.675868572272655,48.78170086281561,48.92822071717191,46.563631478509485,47.06766984520127,45.84661672606846,42.90490846113776,38.05356204663341,35.29923432290373,31.332027355427172,28.580048781897958,26.95788905438856,27.275641547471114,30.35072157824429,34.421899073951835,35.13397314462546,41.32984124712237,41.826375729145845,44.57933329091802,44.960152352782785,47.155153641468225,46.40778875309303,47.21438912514302,46.851667893261485,47.52397720917614,43.8898005660339,41.95928516290061,42.264089285807856,42.71571288971665,40.62302895522187,42.54060764214478,38.912416211847216,40.13702614015509,36.610528864277875,35.13156851268947,31.066128202755706,29.69486362262571,26.095813904876476,31.17193494521579,30.23233018282187,33.12529830713338,35.40341267594601,37.16673062636031,38.64186037252204,39.25705538795696,43.39001434672296,39.863299940039525,43.52930656902279,43.0307191659919,39.70546054385345,38.91550090155106,34.21320994184307,33.007392837050666,28.419882818143307,28.439224399705118,25.722523370539566,25.7947662919851,27.106123290352247,27.52113480043215,29.001979333645306,27.30286018345032,24.049711881885486,22.39246156739971,21.994802967776295,22.353099388596412,22.515993042336444,27.11424235445863,28.639961637696032,32.000671417410004,35.55134075955479,39.421143424831754,40.16809801829507,44.517580768921206,44.410663390309054,44.46495195722271,40.46340487654472,35.9467209142057,35.358513840284694,32.37724080363103,29.64606454185192,31.288800182179102,31.009050525991647,34.501868570866485,32.85064937438046,31.983491315493993,35.179997252801066,33.21935153404592,31.072614770621453,30.6714892479011,31.854834096487416,28.80478515555462,31.71330302757754,29.16945131207909,33.71605816126171,31.72783313362255,31.138505364806914,32.988520689734735,31.0941503840708,33.93135567027615,33.30244038112574,35.73177180211247,35.74809941282573,36.068070453547996,34.97597027772982,38.95607686201708,40.82936451441379,38.79959786352918,42.03648813821439,43.62737479068675,41.90853688521288,37.938067807662385,38.74014849130853,36.25492069130897,39.473391054825534,40.243233387341796,40.326680032559,41.398247257195855,38.25674684330804,43.967953129051054,43.670561357304244,45.609970916357085,44.93430569376229,42.05466786968209,46.70475881775517,48.94446973471817,45.82391432569109,47.69452244466831,45.62577151096133,49.89142543501499,47.33666057771761,49.8435057792894,50.15839904082085,47.55716753815785,47.886746982758986,46.39662204370341,47.50388872491414,48.465883989022466,44.00375581466586,45.78877096623757,43.617234509761055,42.02992428960031,44.88192016724182,42.73849631607495,39.03797266654949,40.70309930697572,42.898143061948076,38.41632090845753,36.14747725993151,40.15573247232224,40.897311192710994,35.07546367270772,36.366342768386076,38.894288333535044,35.340500633585606,32.728855538970336,36.771966570342286,37.18978154403437,41.83998532138228,42.85116757713233,43.278416427581206,46.038121715485325,50.93909735756005,53.96387357420797,55.93621431407513,55.90523832297493,54.98946599095972,57.16095269269459,54.368730270101565,58.53774774238435,57.938935370535035,51.755463235008335,54.064510932785616,57.76906105346572,53.91467577099857,51.50336531395491,54.589066686860626,55.173675738896215,51.07719635851141,49.610806628979134,46.728224433136035,47.8869254792664,50.82919239438355,49.854911399508985,51.04760252079005,53.264795005757314,49.9615636126442,47.0983179162341,48.87973683400587,48.20385957420877,43.65662769994826,43.55647598519836,44.60174648788623,41.900230254794884,40.00857557640328,44.62905353177912,43.848368181525444,39.185076897699446,41.89484299678532,45.84241633390817,45.71299172050174,48.71814471731905,47.94295564433698,51.940874131156995,50.53293031860929,45.32285653660674,49.04295688636359,50.797737695552016,47.64216568081475,46.43451114330895,52.35440378781151,51.14320937656215,46.080782375134696,48.51377661739955,53.08669746150634,50.9234519468424,47.10294294244142,42.35448659045787,45.86079566456552,41.56064230869435,42.14506112035084,37.055476386094526,37.27367785251797,32.800399368719766,32.32532724454046,34.46046065523247,37.54135357148085,37.94818277382461,39.79932164795484,35.517119404045495,38.22117284404163,33.48777895410767,33.061928260612824,36.092559923915616,37.97575149624464,35.98787222619181,32.23471601579029,33.59049325797715,33.83039142929326,29.465626763500694,28.13293309055271,31.51086120589972,30.825049428716255,31.2797286790119,31.738902483690758,33.725469319093385],[25.061751549171166,25.065734268166253,26.755395468575358,21.502248064757783,25.287309975388634,23.118536851668583,23.068061854355943,26.198276350191673,22.581742439095542,22.003981538031454,22.828513081940695,26.580618017489442,26.60438579458074,22.378582466536454,26.593862934766804,29.363412094144213,27.737685140232834,30.627221990234375,31.293574828313293,35.31180336494672,37.69833973153439,42.260340952960426,41.519515855481565,40.23891127605091,38.46767548599185,34.30010113991541,34.042282183218894,30.743455660549984,32.00390264407301,32.81280530441627,33.55666881616402,35.25519790726161,37.89096410023924,40.74823712939815,39.45919006259162,37.22858318003742,37.996684413411664,37.72121927723092,37.687925802205655,43.953524069335344,40.828923671207995,39.59014956395848,44.08563024608617,43.18679687870998,44.33548157013824,43.05811759692639,47.12566943967258,46.86271332878043,42.68141720076243,46.459134947088636,49.62584898568363,49.959270329292764,51.99446243934044,46.84934765556923,51.30356529837696,53.75944500672183,49.338075931002074,48.56251168084207,53.31351033983819,52.989969021375344,48.41062351304848,49.16382450353876,47.17851897954426,47.590185981209196,45.877677420136955,42.999303056106456,38.33604927397029,35.895029301761106,31.852640169570968,29.68644847712954,27.88531403051257,28.68530667790101,31.928097888775746,35.52851752512433,36.42662868485709,42.837729343380495,42.71965191291958,45.87139733045247,45.75270006567755,47.44584849596194,46.59237069458364,46.77435044925448,46.42593088082998,46.50945149864241,42.72479875650288,41.36722285632523,41.97565204560407,42.9933538653468,41.050278570102726,43.744554264725686,40.27041388858942,42.0148792281245,38.65496326367053,37.28950378819281,32.97734926624971,32.23891629717118,28.32930173318039,33.12147895375713,31.91419090844775,34.948462365636345,36.600576045235584,37.83935113763374,38.954323332889906,39.008808613821294,42.50383847665567,38.71439794613815,42.16144074367439,41.11941905950136,37.75801494887293,37.55430192907235,32.71285847766037,31.52955715227374,27.260108341906445,26.768781783925462,24.686902317006698,24.060850923863573,25.85569195006433,25.545207873335194,27.913418276059698,26.905031198677253,23.381980048134388,21.734582279700863,20.10550180722414,20.48571785428312,20.81310197862084,24.738970061612907,26.733067745486395,29.778374434069292,33.26125752319788,37.36245867012616,37.39028508894949,41.914358310481084,41.599311474687276,42.26265853102625,37.760740180402706,33.37573581123214,32.08872872038138,29.24589086345021,26.430354675129646,28.571876473373614,27.905992834068183,31.767346128528096,30.7924508198519,29.91225670213687,33.45703090714252,32.09730694398851,29.682178024694494,29.835223738356106,30.989998587627856,28.360336815885436,31.376259521036754,29.657604923228465,34.46162241783362,33.184039863382765,32.865068702886425,34.153355236926885,31.861983688628733,34.10697281501236,33.42804306598802,35.005649693777826,34.30375552698473,35.02291082915124,33.021334215058566,37.272128669004076,38.44668500724958,35.73057954062645,38.8858714442227,40.00443042136061,38.15088050597124,34.309647392401864,35.47064245503465,33.38109386719867,37.15473674894122,38.443090121731274,39.07111924897767,40.59294673167081,37.93182252657919,43.731836082705904,42.83971277497624,44.63689793747266,43.29858860427179,40.50507257002051,44.678499988621915,46.61693488294318,43.42441703695898,45.550703988070715,43.75665672751852,47.83983628318859,44.76004244961808,47.091627129559726,47.03521155705867,44.69595285920639,44.69854110253995,43.18626083570812,44.31627972668408,45.150065614947835,40.71808863814667,42.71631972588391,40.517589132672086,39.481040721560106,42.335858088751614,40.72223770290809,36.83579637865976,38.014624284013074,40.6314672150684,36.43695124236996,33.38856635463722,37.595764315651465,39.099752824376026,33.06485167866233,33.975116705549645,36.87339026899561,33.80760008171258,30.633119444615414,34.45776404622337,34.416770932202716,39.51160061766703,39.571032979621926,40.36410332207201,43.443497381770484,48.16205018571443,51.37349123754641,53.22679694130772,53.55192603858113,52.54670190837528,54.8539200140218,52.21668325947764,56.11825353211616,55.25168835775792,49.04831897101157,51.45378050702817,54.768565521805805,50.71726326557785,48.42003127174156,51.470066814966025,51.60631061056425,47.461696904386024,46.18582722690731,43.542394501246605,45.281655605142625,48.35039240378464,47.687181887515415,49.29679022762814,51.84573417073583,48.7601486585923,45.45602244245303,47.45242486909326,47.297220682137265,42.59790330767764,42.1275337744522,43.68270529480702,41.23680106571708,38.84324337120892,43.449433394308656,43.12370289541849,38.45297490166716,40.58907917373419,44.57034082172956,44.013230423135866,47.04400114377453,46.19556964608553,49.93951747030598,48.41634181268817,43.039131683008925,46.63181607897946,48.1169939546155,44.866266986830134,43.480375260719605,49.28899314736346,47.82632168911832,42.64917350624178,45.03394072967047,49.47832177207861,47.114220908430696,43.21947005766095,38.489829357855925,41.651777665203824,37.28164519734531,38.33578394537671,33.27625776314311,33.96127643351161,29.82232583587786,28.630648330455912,30.658762749368915,33.418791727127235,33.98941779970896,36.34963887373354,32.402030982098246,35.375837173579264,30.87855106277033,30.885553754362707,34.57368665682952,36.696021164098,35.31194111238499,31.006667349046484,32.314409206690634,33.32152342104096,28.98680594693704,27.02135524903786,30.75003341046122,30.815396443480477,31.541160006346136,32.17018996877192,34.08976750332388],[23.52806804714455,23.867879517022764,26.301469496795725,21.59211641997451,26.364710458813605,24.55151543710879,25.5245262012798,28.921184944101743,25.85508220740185,26.168511166810703,27.343466031643576,30.757949784185968,31.171940888687363,27.361557443054142,31.807542172693516,34.44150171299861,32.911578709857764,36.154538637585844,37.00809145580055,40.84390297125365,43.3625274353756,47.864341545955746,47.09167094637385,45.6921863441232,43.774809707423955,39.7423081146369,39.228358659763195,35.886525959243414,37.2076429983015,37.76488391939076,38.9913837447756,40.15978014312622,42.8991097772401,46.05514756690289,44.6442962636972,42.54617904543232,42.889387925781485,42.81048328690821,42.60137096586788,48.75188262918203,45.680681867603255,44.89695147761826,49.37262796765785,48.32657991617518,49.5417697389898,48.02827592532683,52.04634812648799,51.87297214880151,47.41094441308629,50.92462441043147,54.30610929814439,54.45941786360507,56.749833395163876,51.62639604972186,56.16507144429916,58.834755986606666,54.55115594198306,53.80719297622525,58.62120185645872,58.39521001793443,53.95775787968852,54.87105727129432,52.89782349378328,53.48727802559237,51.65394007813535,48.65464561455987,44.20508572836089,41.68979835436351,37.80356779440192,35.59366562532241,33.917968128734984,34.832485049402024,37.974731082961306,41.60124412616875,42.31289093553343,48.7604484141681,48.474984503066516,51.55743538412042,51.28174443324856,52.85986860314078,51.70157533783456,51.66315375940534,50.9693494242506,50.87427011372548,47.21702724555476,46.0625829561719,47.08135230155569,47.99942669380198,46.466097917269316,49.168397456492954,45.88130683389418,47.7798808757101,44.30784224710608,42.70156943500255,38.27673714668411,37.53157091915743,33.51571478258457,37.944552707214974,36.34014583214723,38.756569760007466,40.89750634955282,41.43890772943139,43.02202343727353,42.40628190167903,45.84108138599196,41.62910515007631,44.633139726405155,43.29966765440761,39.56280823711237,39.75453828098596,34.80191852631401,34.41513015092852,30.35758832628361,30.280831466204173,29.007365397151517,28.461326646821473,30.801298410453338,30.438691884310526,33.42758339344554,32.431027099344355,28.899440718708746,26.960346289041937,24.88302350392883,24.715409042692986,24.372209645198883,27.809769975906182,28.958212296200898,32.22041720007198,35.378492836569606,39.90338983198933,39.26670581872841,43.83500542835087,43.8958146115104,44.95973565335371,40.39787733333697,36.21593052939172,34.122753154152996,32.058992636263454,29.66502835790605,32.359728180538475,31.964692280239433,36.199862646190624,35.593728499874175,34.43963859091589,38.08650569716084,36.813575765126345,34.141397165156405,34.118330103317156,34.778802224045286,31.945485069007418,34.36397296041852,32.68230775503801,37.227484117889524,35.587405821070426,36.0470618098245,37.59249731481443,35.656309121842014,37.55264171318625,37.488557870759294,38.49346846111272,37.9685540616734,39.36871429578162,37.1232372367059,41.55583473361626,42.26743491244695,39.25237354391471,41.96124249169367,42.80106351442582,40.48409961100794,36.941546906062804,38.1762468706417,36.594649716840514,40.66848891790913,42.160570859434685,43.06956088925537,44.514090106932834,42.22456633434428,47.970460279182774,47.09112659650466,48.58516106123321,47.127440469218364,43.8530963118486,47.867014140121576,49.76853211525522,46.73470558903886,49.40083217416253,48.04022105258712,52.049830281125075,48.85962821726958,50.791311696052,50.35449020969378,48.03323211670433,47.49028208342273,45.667731300810686,46.48602579196695,46.83007332518647,42.2322346865006,43.93482234808939,41.24878572244191,40.552476651735425,42.793503112766984,41.41587333041025,37.64897412500599,38.06772682577052,40.50473616501252,36.47298363712145,32.97284097137274,36.79210205690752,38.45232522677131,32.27346840148106,32.61349400255339,35.30606675695826,32.52341292944862,28.905751488293337,32.15568492474075,32.31728497052452,37.24429380161323,37.360175580851475,38.685622558814,41.60871035943796,46.464689157249786,49.295689573780734,51.542328203675076,52.39917460018831,51.80733438096604,54.46587663176187,52.32232148956943,56.20556199591383,54.8702841445564,48.90132594176177,51.75380590549953,54.7688170237747,50.48529426974213,48.63250312772664,51.99228301891078,51.54149449984656,47.28181207487703,46.862346439174964,43.860550534004005,46.331720012536294,49.1829501431669,48.19400356414673,50.179899204545656,52.47830236817019,49.88689523550729,46.34801558591809,47.768513612246714,47.96288410826541,43.465594420094114,42.339836484906215,43.72154832338953,41.361233271285336,38.622263410010035,42.85206257056848,42.47792646324989,37.69052154067086,39.39456624798578,43.278319766195835,42.77864656227826,46.15949959801817,45.814928898103716,49.405210665158066,47.29034515622297,42.16812479938088,46.12700250825128,47.07609237072562,43.64048450706032,42.825197395017454,48.4464497776647,46.399563775774766,41.46401534551882,44.384147880301605,48.39083393931807,45.56021812563749,41.805041548794364,37.04072867426255,39.736461545645305,35.170810695755485,35.911793079725726,31.203370416702487,32.485091696904085,28.57350349061933,26.989079117388066,29.50299954557629,32.1644307068477,33.40815815340221,35.960312363160206,32.756843564856815,36.262008247457686,32.24255125608065,31.571829687136596,35.75566624386468,37.47000946959596,36.670422186595765,32.19922212368959,32.58601211557971,33.83339841446595,30.295119599341753,27.27702794553198,30.44353123812107,30.76815410060898,31.467465327957644,31.947731464440555,33.83490350614872],[21.364817049333197,21.012843509668965,22.737332112426895,17.541902921918844,21.97604526060197,20.91425640005401,21.74228028925203,25.527169731430195,22.902644915759147,23.017259772808774,24.743300401657635,28.280421208752887,28.04986634273472,24.49965536974092,29.305167173864046,31.624025727614494,29.680795220163326,33.12173507112552,33.92839662398211,37.51455901797859,40.111537206411455,44.49623619300536,43.681713494602256,42.19463388703811,40.07162573402477,36.212396190139195,35.453553141073506,32.18324347322575,33.77949434876204,34.451402967300936,36.390343547643035,37.2728505488493,40.39374183372712,43.50876366503351,41.69395692412889,39.40866181590855,39.49247362898737,39.153915115292754,38.68022648918089,44.67811974178516,41.584533549524416,41.207786394673214,45.62605289351553,44.42732737540693,45.741565807818134,44.09416109278946,48.06223804736357,47.86418766403004,43.21368579457054,46.562200731009135,50.034306866621556,50.07643212316698,52.52965802239839,47.45028722892075,52.10036615657489,54.868699045876554,50.706051845510565,50.085142014081484,54.943555714735545,54.736834310529666,50.50556828863445,51.72620660933198,49.92300220770798,50.66008519496127,48.55172480837422,45.463008274108745,41.35018155692089,38.894640148465975,35.221782076766,33.26506199934947,31.70364007623529,33.11007090438864,36.05046941520286,39.40379031256385,39.94494743647566,46.475138538174036,45.69985110828915,48.91884924162804,48.27965493098263,49.541872081159966,48.217676065904435,47.83407998547487,47.07169531387864,46.6963430460829,43.04167210782533,42.16783097012097,43.43181206296666,44.56812283331043,43.27530135170926,46.37058363394581,43.30153575681013,45.60904281829147,42.227969565449136,40.61826494788904,36.05452546996963,35.78621049502705,31.596518996765862,35.67090364676622,33.89583710532319,36.41432132782486,38.03852685375037,38.275984136332575,39.57521260663956,38.677553969674044,41.723499365392136,37.45975075165564,40.384225398703045,38.83781586311949,35.19030383342897,35.60993890165989,30.66716866559022,30.175029887711833,26.352305467705865,26.006208652208088,25.142200704665466,24.348788308975436,26.995989556177665,26.47469533087995,30.04841105785361,29.20742480102873,25.677408015090645,23.613644837571098,20.987556679909513,20.62367297042294,20.262810841390227,23.268708513416513,24.678490994050172,27.692654253593446,30.821411546658172,35.3502916535564,34.50542267362956,39.10859204080656,39.04859782974049,40.29219002028777,35.5856556237017,31.47688003144823,29.210321219380674,27.19822246530259,24.87502183565233,27.749715216052735,27.48814798309385,31.910989280922585,31.502277951265054,30.186752836448868,33.89653575659492,32.84087186646001,30.040340491268758,30.214536561938747,30.811060826153007,28.276015758688924,30.76864729047502,29.659387580750817,34.342220598270345,33.36434277628562,33.80305641401548,34.854839326117244,32.639779347365874,34.152636058314194,34.01892728443825,34.542509437533326,33.66734856225059,35.29242629057383,32.70657820706997,37.21432755542975,37.637047119730816,34.48492128525727,37.07085913298771,37.8516740905287,35.472874166834636,31.971859239355098,33.24193856914036,31.79374082005813,36.007638527775704,37.673504037574276,38.81159265505867,40.43801979401051,38.43841925422399,44.15959939558948,43.002689941391836,44.392868112793266,42.66910101393087,39.435149756562424,43.22913649141437,45.020183638494935,41.99031357746051,44.78278194191167,43.60392060919776,47.53818021102632,44.28555941625154,46.048421305676705,45.49866187943371,43.198773659582386,42.54417619084988,40.70694761925713,41.535161444290004,41.89520881735715,37.34098371036282,39.165805758706185,36.60367428298041,36.057838378213305,38.48185996851101,37.31243595690804,33.43218185204521,33.85935732604392,36.5853970952137,32.68889799519885,28.955537759172667,33.03914044990795,35.08031688744677,28.90224070132445,29.290966262897687,32.31848490342349,29.750400394137188,26.046037905355234,29.463841020380755,29.19238262421257,34.47287576479627,33.98943264313941,35.184651387029106,38.36868436368241,43.02033833755825,46.17994705065162,48.11464037316971,48.8693480674181,48.01784766297873,50.57621753332309,48.3099454527958,52.04811954102443,50.780390730329636,44.71838377908811,47.43374659350885,50.37911010036747,46.11132944584317,44.14148843849768,47.37919802003909,46.96592312384887,42.7327204926617,42.10142460999559,39.300727658585245,41.7877413770792,44.75113605743045,44.03509548017099,46.10403540983947,48.674319232049584,46.048728009885096,42.35443274576294,44.115755690912685,44.497542203843125,39.86054837305609,38.77101584829549,40.55675097868369,38.36072571830782,35.46539897308189,39.82970081632035,39.8103355200463,35.14108586624314,36.64540669642709,40.57120653792725,39.74738758256421,42.929492945250104,42.287204661037755,45.776887594469024,43.90504818965715,38.57670791407082,42.265202452507985,43.32442317379413,39.94551716142479,38.76023926308256,44.400874912289254,42.534439128643214,37.43189523621484,40.07835123000091,44.23252496905423,41.563847681316766,37.71128368882326,32.9741844744183,35.812466874798915,31.340665029182322,32.43533447732468,27.52757811852301,28.68828174574459,24.86859370885882,23.120599967363923,25.325012167474625,27.91171541903866,28.910579361831765,31.57349369675783,28.262294468913588,31.707864390750238,27.712984855971857,27.479331757975814,31.83770039579599,33.82267569984664,33.225780356051736,28.518816965614597,29.21498627982266,30.882873673398613,27.130871603227163,24.144114649047197,27.761352589904583,28.538840250847475,29.465794678224597,30.175690018478793,32.011179705715534],[24.509305619549032,23.95653566674418,25.530723089632428,20.363373409921902,24.70171444771934,24.598661691022457,25.482691822598234,29.51733665945977,27.166531854605456,27.031699620505968,28.920056516656135,32.587908124432644,31.920863525421982,28.33075063756648,33.17792062813772,35.41554931592697,33.06744887870024,36.301511605495705,36.5630647640156,40.21046825930152,42.49241549840686,46.817798589786456,45.68751870934222,43.856327127300595,41.97729621909954,38.29426003118237,37.788607395619486,34.86911178587724,36.90105233724823,37.946491148670695,40.03627602335144,41.116136146171485,44.375063318780605,47.282190168633505,45.312373862300994,42.75280693135063,42.942912766620026,42.08310589801694,41.31452481025186,47.1286828463658,43.763965376599224,43.55797844197331,47.85256591996417,46.312594227476765,47.294298837248,45.31212903086933,49.21065125402882,49.44317040623527,44.71289694968245,47.808505707827926,51.624491220623256,51.823451791074675,54.461123746105265,49.53853650363928,54.47717675609032,57.034991915822395,52.832368508804706,52.624616856989306,57.46403296328756,56.916183905014535,52.87967540823356,54.39469877290064,52.85974147358136,53.29531042332695,51.005571536481476,48.17035061122959,43.98133490416932,41.877364317819364,38.00677581747025,36.454813127596815,34.644494737040766,35.945310541070086,39.16281333928803,42.23081687169832,43.15264043730889,49.663417650331404,48.804627492877515,52.256035551655025,51.510800552560916,52.55598155987287,51.387054958068155,50.72080988342261,50.14710871695689,49.430912534586234,45.66207842926558,45.13807954017157,46.36048051104986,47.89292609087255,46.44678400426837,49.892970625942134,46.77626359413833,49.111171905913295,45.89743028944465,44.50124919097148,39.97820779409913,39.83418263310621,35.6793507558769,39.832320309849635,38.139102716150724,40.80822967202181,42.12535248513681,42.30790359623616,43.33416744312636,42.3046105871563,44.93191621930135,40.64707533369769,43.4090269072988,41.5232920677191,37.95157659101981,38.76112272088081,33.86576246510522,33.34119544431378,29.829941294594274,29.078973077596423,28.44278215048572,27.148610761563624,29.751458417822178,28.613013486669377,32.27858204249127,32.05883514594837,28.48123235726728,26.761082697268627,23.661794711095197,23.619563850291726,23.610231643203115,26.01837232248954,27.822215978778445,30.44787813279943,33.43116746897893,37.97077432955208,36.584486942088375,41.227168751119216,40.93347811983208,42.650324374456616,37.613260898982446,33.72351440444984,30.96000656666607,29.050601213001592,26.627679534409616,29.70468312327195,28.801844959423715,33.203699115582346,33.3760956860341,32.318699097230116,36.1729024024433,35.623243592483924,32.83688381109422,33.47170934157788,34.182885837709144,32.005000356152344,34.57091227520499,33.837539524952746,38.544849283036676,37.80120171873417,38.274693784196415,39.13358972413358,36.76050842625375,38.06359732869551,37.78451437843651,37.96695282779859,36.59630018940357,38.2411502692305,35.09026737255307,39.62523964114044,39.57457476391524,35.86471503987339,38.45618236547194,38.70011146976101,36.357387892790996,33.06209965375183,34.71945395252708,33.62496268749103,38.173632002468025,40.197342327052695,41.65216127208708,43.587758701951735,41.810963074120224,47.508393602102736,45.981888257500614,47.35071365053022,45.18511641259098,42.22026643601285,45.58388658145722,47.07647107847626,43.992847402179734,46.78245747282406,45.68879744341612,49.39989799393791,45.6744352647119,47.42310633481238,46.60717772848512,44.672224270083134,43.83879998731234,42.098706692916004,42.99222060818396,43.262551397709096,38.85659873159307,40.863900925133414,38.32073396894103,38.306304327862016,40.62857480189407,39.923456152763855,36.0141129559066,35.94901061921099,38.91584393820654,35.357100836436146,31.054574835386603,35.0917088765803,37.67446483311031,31.49359316461714,31.437088489874412,34.579001153601176,32.486178854231255,28.403817653767803,31.332459826816766,30.784983911855726,36.21086973673514,34.95290754128954,36.641779878617335,39.97413307095228,44.43798274899672,47.57089432888921,49.517869667084,50.69462014025894,49.884441708237006,52.585196886223166,50.54878640266648,54.025488433042355,52.48219421547739,46.52989808406501,49.34426315447112,51.86938252561037,47.44620615103317,45.674291790449075,48.853696999315254,47.938726087871075,43.70817096711731,43.36814272090185,40.839832645807675,43.85768332317723,46.862757222549206,46.37886870094908,48.755042264698496,51.487957039362506,49.08460854391732,45.144020842962284,46.951965226831774,47.687186716188734,43.06315830871143,41.687757805107395,43.70946619990971,41.70346242657845,38.53207939537971,42.71720523984616,42.931877999184145,38.318720286363906,39.366501374721445,43.2077757608143,42.154577045277236,45.3907650102934,44.82468712223121,48.05106363577013,45.9859099245979,40.69587745212423,44.29703935489826,45.00140989576992,41.55523027479815,40.37533521054198,45.77262742256051,43.556589365605866,38.49989433560031,41.1662503079601,45.02529765211907,42.06159865374,38.23141683415787,33.60518261897459,35.82025508689847,31.27440529290535,32.796041603607826,28.19311220347506,30.018511652649064,26.72851494798824,24.206390620131007,26.34812707203605,28.426161182929707,29.758800343696574,32.942403076038964,30.189703049599448,33.81088719126228,30.189003716581038,30.265710751265,34.972519740506776,37.016772209415095,36.81993565391638,31.934495432523807,32.472876090537014,34.52572677463166,30.98452677787761,27.671996296030393,31.219582104135643,32.34053147556122,33.31823418254565,33.992901060757774,35.7238725446505],[22.496327373363236,21.66127801302612,23.128995335468602,18.311710516172834,22.83420042886699,23.501219951996177,24.894061685564193,29.142538107618957,27.46229773453464,27.75100873812063,30.060969606212158,33.497903741016394,32.75253214148349,29.653163785668156,34.70956794922593,36.65979842302417,34.24312189882952,37.77966524611765,38.234291524480305,41.54657078962136,43.99613694497335,48.16717659614018,47.0736703334376,45.20769747212542,43.072230401305035,39.60953438495769,38.740707129567596,35.829762272155996,37.944856452923446,38.82091480505703,41.5737907180572,42.114500368254596,45.60595813991344,48.67377862672751,46.42630358798581,43.91289468823457,43.65523588926891,42.85971595255725,41.87468141493277,47.45863066446982,44.21414368644082,44.54375987647032,48.75700422781441,47.10821454139439,48.25776717604728,46.12557965022272,49.92055960256679,50.102665190816005,45.1345833954074,47.942212718772865,51.852122645774806,51.81688812150913,54.67704934845649,49.82286136082646,54.78636921291734,57.571206819056385,53.58921610904769,53.40324110976843,58.275760045501194,57.878914158673744,54.067014243480905,55.81287355182426,54.351535305146236,55.05556934185088,52.56904545403619,49.570947389422365,45.78931773651786,43.623198051280916,40.064315885609545,38.56556927774041,36.97173764199337,38.62664965329675,41.57864672031272,44.53815622155258,45.152487366277626,51.69115746922876,50.44476309720838,53.865442888833975,52.8164850400889,53.618128979943066,52.1279610189268,51.15061779768893,50.27721135811378,49.321911077512304,45.71015768084025,45.453897321096704,47.09248440472408,48.611194725929316,47.62216176878275,51.221255442406054,48.393667889920025,51.052219786592325,47.81653241534188,46.24653364882409,41.61240941196498,41.72554617264515,37.45174511904945,41.12183414849922,39.10849877038589,41.41371216734119,42.72144891360547,42.286752853966824,43.441595106845796,41.83494694019786,44.1702696118397,39.647322312610186,42.01980169641358,39.85472666250872,36.14978125113561,37.339289971729315,32.497916583145376,32.45714922746097,29.33056575543646,28.746624971716948,28.874877854907155,27.605288809544355,30.64907845665691,29.53623170990384,33.8208928223787,33.57313891584483,30.091378440275786,28.12019294919094,24.661060582159493,24.121607209146347,23.64495294560602,25.386090703541807,26.672258696559883,29.199985523199175,31.848944336121313,36.57081660954119,34.64981869537083,39.249893658835056,39.17442735380971,41.21663666965962,36.176411659262484,32.5568498538974,29.21860910636735,27.9828845551381,26.031564111070193,29.4673916704741,28.987495486560082,33.637069860864855,34.06601210333927,32.70317373653337,36.539675455157834,36.10899722906884,33.14466579383896,33.70273421858717,34.022621254700354,31.9268050325637,34.0811347321782,33.72329728650042,38.24163631523847,37.70141843000956,38.60967990601843,39.31502282739967,37.04806878517692,37.89037547824104,37.97424806858367,37.52229012857045,36.13293164614618,38.334780451725095,34.962781196930436,39.56275613779072,39.07729398997509,35.23765862588513,37.35621209263069,37.43302151996318,34.73621331203662,31.751021541032323,33.3887862631366,32.74055226021986,37.435112801570696,39.62284161324733,41.34610903065218,43.27134617446784,41.924247763602615,47.48603715369793,45.86314355132565,46.94443388276892,44.61804543642945,41.36405416013606,44.46773112058048,45.87740956322377,42.96565819853883,46.181268832568,45.51355677182687,49.11104548887903,45.405642469643155,46.72931461367973,45.61736011740133,43.67515394194208,42.40505995915239,40.438114803430295,41.08417383515891,41.00943601209633,36.56962657789358,38.39239994973542,35.62014307735365,35.92791978175238,37.90361407940006,37.50339463346834,33.680852714106656,33.09646927368033,36.08138977657252,32.80152730937662,28.117911265592248,31.977365712327483,34.89686824912361,28.76602758591848,28.335567415108535,31.51769698545378,29.843481119600643,25.500451398687865,28.051394005935762,27.307940647938068,32.79053554297671,31.117478330210123,33.06715519911152,36.440745699502244,40.79943525277181,43.89031982523447,45.85585496682383,47.29695224265081,46.59002997172687,49.428992831823706,47.65260296361666,50.998726985590835,49.207742387728665,43.40321663505363,46.39962067655044,48.670624567130524,44.14253507364713,42.61140049716048,45.89879341040687,44.63819660122025,40.38127541565646,40.50314312523671,37.867287347795056,41.345700606172194,44.2302048144099,43.700816800705525,46.34666502211783,49.056503210391405,46.97883487743303,42.841427629680496,44.46821081778144,45.54323615482184,41.02865574971448,39.27215773412282,41.423192564572936,39.6206965502405,36.177076719707934,40.132557183595864,40.56439572798329,36.047681118762675,36.64392749194824,40.38705379915754,39.15178486281691,42.43206330482668,41.997846554657556,45.01491596255879,42.751421243580026,37.555619227568236,41.16664925959302,41.58078968868476,38.08838061598929,37.05688379896738,42.282442257230905,39.818921446736574,34.86363335881605,37.68828524173535,41.31574860061007,38.17145123644853,34.40205674167761,29.817757220459715,31.788185446771205,27.20238289589635,28.746419596421127,24.31618877773196,26.479530334784886,23.53984155421444,20.625666900699095,22.83772214872549,24.72896054249976,26.376866202671543,29.712983971569205,27.496133334661494,31.364166891730736,28.198317364039386,28.08802457309489,33.109411812928506,35.01159846558431,35.33420622850031,30.325805163305002,30.448104408403196,32.889702339628755,29.825478241665714,25.98909710826808,29.34735678708298,30.91477596970835,32.000625091097206,32.72063124326048,34.33253623703392],[21.70153416717827,20.22023114517141,20.782274420160547,15.512255810021193,19.30809657559846,20.751074205624057,21.795857055929247,26.235134914093678,24.933442194840577,24.917562781101214,27.568547820679004,31.037280552361498,29.717170202627717,26.897526415009423,32.06039099931234,33.71494264341804,30.99237814122891,34.575533491944825,34.96672971626696,38.025461799129396,40.49937807841282,44.53091980630963,43.43002022107339,41.53933051818469,39.253958205950106,35.969480037128875,34.91880098281649,32.123860785948324,34.434970784074245,35.42574944870295,38.65875792285186,39.02547071823378,42.75454882426932,45.70647809574315,43.181857054351525,40.53458136358305,40.119795675817734,39.0891425254236,37.91097255961218,43.327832903597354,40.08593930477565,40.70857672154544,44.83707942611688,43.10456268554819,44.33826602277881,42.15408574051351,45.89223762641002,46.016311701166494,40.95434140635028,43.65012434894002,47.57421691781626,47.46137689608835,50.40398499875715,45.599762540775934,50.610732060485695,53.44121004220385,49.56543138587614,49.46262334153496,54.33267347452271,53.955403364926,50.31136603918523,52.26122603985206,50.93952059990983,51.74601661125057,49.081805660448964,46.04564077830144,42.567461492000945,40.4812885801836,37.151000739823864,35.88671085892196,34.416140194124,36.41340573304507,39.145132789425965,41.83973836321707,42.31660635823979,48.82719761237562,47.22646018632587,50.72149671772178,49.414435387017,49.97189915050026,48.3981428712255,47.17713164133806,46.30253878173734,45.14708368869449,41.54570841505025,41.50211377981633,43.27681683287148,44.97193053772715,44.139492860613665,48.00930995230388,45.368229954800114,48.29659656381998,45.18517060110898,43.66371515807694,39.01479110643553,39.49684181023718,35.19579392321573,38.55524027809214,36.50243614006044,38.940498198854264,39.73429162820848,39.1682922083965,39.99045766529384,38.27343954622255,40.2547251021227,35.79796071746729,38.162446073719096,35.869606572885026,32.344112692762664,33.66551678048494,28.910017607166242,28.629732144544793,25.771187479901062,24.860183389888917,25.297174675829236,23.796111426234575,26.992443922554884,25.751415248101612,30.415901165977083,30.306021671826993,26.933881798220387,24.95622590633566,21.144778553276865,20.494052323630022,20.11070583166721,21.339033108880532,23.016757692591135,25.188358878495986,27.830737039412856,32.446601209178745,30.44583988794643,35.06588613376047,34.79905214889569,36.93297183862128,31.77549714651912,28.213475209796606,24.82699851929311,23.53158266278589,21.618383762609483,25.14500593355318,24.76998789334297,29.5075228696032,30.07253113441772,28.607166956243738,32.43595154164701,32.2036219121143,29.20467430469171,29.96859462902369,30.294342920088432,28.55737255474365,30.824312218658807,30.97502545759413,35.56007022642072,35.62914851344631,36.36860347112317,36.6214713511491,34.109918622665425,34.66366952813118,34.588066287546354,33.800823702829284,32.06979421408507,34.35253099519609,30.732115111628147,35.33026960325842,34.644318398137436,30.73829769821602,32.80105614567071,32.87509387477949,30.188065189173606,27.185020167487632,28.85123225937941,28.26604172129258,33.03114219600099,35.339631473265506,37.21670173459174,39.30037668544073,38.165118685225636,43.65570768428748,41.80646016716861,42.83854764917369,40.312645300444515,37.19541012651945,40.111414218198966,41.4264250338705,38.496776257256016,41.72759894599292,41.15684960401799,44.686842731603726,40.97214113818401,42.20326791799478,41.06312901399933,39.12426808008666,37.85008341617846,35.922496602031785,36.639464184076296,36.68320117935346,32.30763523851358,34.31830995057782,31.77442372728593,32.15449968806113,34.44098135856249,34.18021074917455,30.24607876000763,29.84468593128845,33.1318758491735,29.961926767328386,25.200976282494963,29.38381266082221,32.57883372225996,26.56122031092662,26.33242535269176,29.825306687721913,28.278108344881204,24.071061776465047,26.89139546038343,25.720689761578395,31.485572851208925,29.31039776823976,30.950731700484052,34.57296628888148,38.695204903890144,42.16370563951192,43.74132412455346,44.92475015681866,43.88481221354372,46.5340398255702,44.52258512365137,47.75115189379204,46.14960811584726,40.20371735984972,42.96017010544755,45.25737650285723,40.80475057981469,39.0462983755501,42.147544786321006,41.08526755511003,36.87463978920155,36.57297093162878,34.20752001882049,37.52383826735193,40.55952058156523,40.350127428032216,42.96861179253574,45.96048834304465,43.74245612510297,39.54537828483322,41.595843132198524,42.73559871542861,38.08639118009336,36.529044973521714,39.04707650030823,37.375088701911686,33.92167068647291,38.048895866323285,38.775496847098545,34.43317044280133,34.98015691417081,38.749887420240256,37.24815320814775,40.24248527827274,39.42437281630755,42.386722910491336,40.504492053890466,35.088557098888586,38.34738088432642,39.01053338471965,35.63505335865689,34.11341759375455,39.40418953201388,37.283751797991684,32.113427213267414,34.527830277292786,38.424350893804856,35.57750712614066,31.676025753445057,27.12794364572219,29.398625723641857,24.981243738725162,26.95057987993869,22.241989161073125,24.076424961879855,21.206954341589427,18.255453846284933,19.961924797217765,21.789054282332526,22.98462393978394,26.398090275456802,23.90142182416905,27.581951744404332,24.373192885496795,24.861478581971546,29.89349247446579,32.10892201916706,32.49036859624094,27.3773816216682,27.969841824012484,30.68641572712332,27.342706084463494,23.8369796540011,27.619646006446118,29.460759177881084,30.712202592662752,31.633694048531083,33.19636787184083],[22.73411367784282,21.572309728544994,22.298972810750637,16.65292315989052,20.28690723858552,20.708888031550508,21.189720540765762,25.406897032484522,23.368963021257205,22.927151043291257,25.187204275977653,28.909876030203204,27.682227294142045,24.35431589540092,29.37812018699266,31.325915963075307,28.693494438914467,32.05532990857108,32.362516329919465,35.75511826728074,38.15034064340295,42.366537165000054,41.29054998605482,39.49514332395042,37.3878217684561,33.824448840644884,33.066727744339914,30.168007107193556,32.34126957629671,33.4477997440535,36.051276938499356,36.90598828204254,40.4207862020755,43.26139453995029,41.00602990501936,38.33948839151973,38.33977972427752,37.32847043554119,36.41255811914871,42.125127119456664,38.803903561989934,38.86431303662186,43.12187190144734,41.557961972303595,42.70813299128022,40.734491719194686,44.60674029971327,44.683411143641244,39.85092960217213,42.90461818646745,46.67172669249173,46.75724029216778,49.44789059453251,44.52594458657566,49.471966156318594,52.132587729676196,48.03539175306365,47.82724357731714,52.68787966213286,52.232951497129996,48.320544491094424,50.00337328281183,48.55746917161219,49.17429305077094,46.71510078747842,43.7663385199475,39.90068184493159,37.793487728543134,34.18634349844748,32.7989470251281,31.16314585187697,32.89861904840978,35.83221734747208,38.68434728849093,39.37459939852989,45.899926526703176,44.65789554192439,48.16072315058042,47.14825514153443,47.977899790222594,46.67882610312788,45.80836411558077,45.192310930401916,44.335621706177335,40.58448037067123,40.20538016259965,41.58470914758367,43.232122198317256,41.97983391718509,45.66897532739222,42.75270018868323,45.399195254770746,42.27025103717458,40.87236046723903,36.29131498924196,36.54002557023514,32.31080517465117,36.127768873499576,34.35950759464062,37.15825120341638,37.98362226468706,38.03793391107197,38.76683823757866,37.65059066007497,40.007887976534406,35.79060033425687,38.59670300316494,36.65931440005327,33.25650352922659,34.10356069146665,29.27250501906731,28.478875075762712,25.13654499007614,24.105043387103382,23.69206721121321,22.22737945158646,25.023508406513262,23.859882906973375,27.95941461810102,27.758381019312548,24.252483917989384,22.42775180094741,18.974960900959793,18.779921576561833,18.845125114806223,20.941659108490533,23.133194945689993,25.497025248637165,28.537293154062738,32.96316024919384,31.645628959425302,36.298341184512026,35.85358033156894,37.545677683391816,32.45618046440142,28.549483893808755,25.896396894945852,23.829886085221148,21.39852500395466,24.51654996927009,23.82777279275927,28.362694584326956,28.535669041429973,27.313337213967984,31.16599162026944,30.70881904030167,27.862209399074032,28.63136182268463,29.34911823493155,27.45991818522342,30.166106616665292,29.88829601237429,34.69346627924315,34.55453943362172,34.84560076840901,35.25518739107384,32.63199741165154,33.68127491002418,33.25156872544967,33.16521761842325,31.532566432168707,33.24481302869941,29.94061112346927,34.49429045729995,34.358897280899164,30.69788745383936,33.267461033122984,33.64293682099241,31.325053526070466,27.938304700393648,29.53740676752113,28.38785587147673,32.94255053645605,35.01321554815608,36.556728721292416,38.60237580286331,36.98510899738241,42.64059456996545,40.94731486033354,42.27994954470753,39.99725325323389,37.117540400359346,40.39727551251177,41.862507670929844,38.761093825180716,41.55997670670555,40.531659293661015,44.239731967240004,40.5972976426536,42.26946003225043,41.490067988947374,39.47452614157158,38.69325297037824,36.981189166013586,37.942429786260455,38.36629870697168,34.00280991033517,36.15956068814324,33.85320025217434,33.77924290695673,36.43873215606896,35.765390064816636,31.751319184052846,31.991309765642036,35.196347577186316,31.672227886652614,27.43239281251368,31.787665603273563,34.521281137921896,28.4506800822887,28.6841792611549,32.103880730526456,30.041549228869062,26.15581144739679,29.44202450314102,28.542769373474574,34.21112180517166,32.63196555367336,33.9225720769116,37.45900030059886,41.72788062609354,45.22876137014197,46.79637443403795,47.63639228854672,46.49098259981715,48.97204159364328,46.657536336941575,50.068719069331564,48.77251251895654,42.66783271331939,45.21780811472093,47.85625550148656,43.55096373384487,41.51423965594884,44.51529357573687,43.91214353495725,39.7367720808572,38.90904056935491,36.594888508500524,39.31804537531277,42.4621212090176,42.248923198891255,44.5279380648482,47.51073522802417,44.918686861034594,40.97068005041383,43.19510723828168,43.9248064917663,39.15908735890473,38.04417633976709,40.38801467348993,38.475674771113084,35.34479648917391,39.73957875555172,40.2073205728136,35.75385546894772,36.835752389584584,40.72163870501958,39.446778525417095,42.38973987443995,41.42856593840124,44.65222035276854,43.00285919878295,37.49377149902275,40.76423541437976,41.78558132161321,38.47213203244894,36.81902734375285,42.320995018455285,40.515706497292676,35.25667703137722,37.516107972289504,41.68875709659427,39.08038442740127,35.13399907647133,30.537499485697435,33.16223079854244,28.80670362089589,30.617445919281653,25.704603995783685,27.070231817665725,23.732779077043052,21.3714846930015,23.052985138693348,25.1828999570821,25.99863498136081,29.108669428678922,25.94578765354212,29.319392457162245,25.54578368561113,26.1615831926975,30.79415945191965,33.14836035133497,32.92104206196761,27.955049461513866,29.013730916498808,31.26917588881234,27.380762627781042,24.469470844561993,28.47747049154863,29.82176346944823,30.962983904925167,31.85422893460604,33.54668886303739],[20.57555295807629,18.934130197323956,18.88342258049901,12.929991246725814,15.841384514847213,16.544572180854065,16.703193828018712,21.039047512835158,19.390241342782687,18.888489586782583,21.535054045565104,25.140322809770268,23.582914546532546,20.69635223164934,25.865117606925523,27.49689224984778,24.796430761125617,28.436013743007326,29.092262910657265,32.12778518505965,34.79894246851126,38.89562473863885,38.026155246191585,36.42149247244593,33.95638708367704,30.483974176024432,29.292435204480295,26.249489335853823,28.35122813397006,29.28301032817012,32.43126232691905,32.8551248792772,36.571826478259666,39.482239188304966,36.99537891435811,34.385307246072465,34.05424457172686,33.17856215249399,32.22031541949789,37.876524045532335,34.75629664992298,35.0971884455265,39.35329588178852,37.90646878415459,39.38989776819111,37.55143063627271,41.40014006367291,41.134855043647704,36.20829224471007,39.271885148449876,42.84984489778812,42.71531602895424,45.413405265257936,40.437011173879675,45.256393575726776,48.15201361984177,44.21646137187219,43.82033719079527,48.71106154167799,48.52566485285332,44.6821199298688,46.414453132524194,44.938915971314884,45.89998917213493,43.34988627232013,40.16290494818399,36.71564275316432,34.44079230519443,31.25066180462712,29.842871251506313,28.54039612290241,30.746070428342264,33.22405315788397,35.97517319243466,36.224751844278586,42.74134845286535,41.13846395698565,44.55745527783812,43.305230127094404,43.99688190323737,42.440816496086974,41.45606872906846,40.63938625971096,39.76577974371627,36.114998148303805,35.761543631105816,37.402685973697004,38.95539071466079,38.05616573205241,41.814590319274984,39.166149408461294,42.12033923485695,38.99681720109785,37.46658589339225,32.82149757803519,33.40671052982102,29.113057303882123,32.44581694365015,30.50269470273507,33.234322003097326,33.77002157252705,33.575209284588006,34.20635998259716,32.92254763204617,35.17413961365593,30.951840738745183,33.786054650294844,31.8929367064295,28.56140707617511,29.3506632937546,24.553691330525766,23.64219497284678,20.39872499824949,19.333227959756677,19.26346784566267,17.89884017549791,21.043976552773383,20.198895936257657,24.792317875903628,24.29364231424524,20.947673671219437,18.79709805289136,15.157063056097126,14.44052656293594,14.228881708906801,16.113122991607927,18.370859489014446,20.663362312764058,23.768020983887908,28.15157303842868,27.03348862146294,31.679071380561656,31.27245325530709,32.78968558646478,27.80304527670981,23.815263454299966,21.369080398291512,19.264538033033006,17.009661519969814,20.176644306934463,20.185732318289848,24.892949378649536,24.833685650344815,23.239462354815018,27.009135769747445,26.411480457105164,23.446381985140242,24.085721968343254,24.641406984098694,22.87266659468869,25.56599360716647,25.64134888777434,30.45357278546367,30.793375567914225,31.021185259622545,31.082507351859945,28.34683981460494,29.137400267787125,28.737591166705116,28.396163696151962,26.756862040098877,28.682335157240367,25.454812069793608,30.042676050428685,29.95622084824845,26.591433949867405,29.016054111644806,29.746640028142163,27.341988781188192,23.843937935585373,25.173315380414742,23.897179443768565,28.338343381970454,30.319649114855192,31.861156090035312,33.85556402959239,32.38138867519914,37.98514535689849,36.29891223923215,37.538512991119795,35.322420365657145,32.29850456750415,35.66330023511135,37.23727542280759,34.18356897647027,37.10635262690132,36.201258118739936,39.987056726877626,36.65097134653442,38.1619894288797,37.473106353889776,35.203627264003664,34.447440684081315,32.65108081026448,33.57680922919929,34.093060399855986,29.67811390992688,31.829463491726777,29.668297888006396,29.35173385881689,32.274681309319774,31.477979150538026,27.4097571053264,28.0428563224516,31.331547104751735,27.75973339124898,23.79587586699396,28.373899868181635,31.03682120963267,25.13743977854213,25.74546781704234,29.30625018474008,27.179770696008408,23.65000029836762,27.298571492535785,26.210954770028014,31.923848955272298,30.375673556239917,31.154044853853108,34.757922799344854,38.89864504880429,42.663959160531455,43.92368996120939,44.36274636390841,42.96196229077252,45.22523900932288,42.64300977043434,46.08603590022026,45.06337758195277,38.83334073183983,41.15559748306154,44.021499782969244,39.87247863237007,37.58402051290747,40.487356418250975,40.29867745934011,36.17988836258682,34.91099224216233,32.624326734443756,34.936334434787334,38.15182617593068,38.044913261967345,40.1590728800991,43.264699547679456,40.492750210050296,36.60866210286677,39.11775326650047,39.75680131035193,34.90045735909744,34.05605793948602,36.58443306294868,34.721903907668064,31.70712785578681,36.275724795527246,36.892068075626,32.60643898951471,33.80592586136066,37.70915138563746,36.327668932765526,38.99913124235776,37.714064053027265,40.996335620973504,39.73413205084371,34.0838106216527,37.10498968246883,38.48064791691683,35.31715513311058,33.314568149153274,38.94905382602155,37.593618433857046,32.214471486658745,34.14609844010721,38.63723261178923,36.43167498913246,32.43127487870111,27.87016686995617,31.037276188167972,26.935176673435418,28.742719522949745,23.580354420491247,24.2783999513244,20.782336150820473,18.922787425279154,20.191113101338264,22.540666952258988,22.78259200404032,25.559416531412054,21.878433775553177,24.97976407864707,20.974293361286918,21.914840028703487,26.37732179919206,28.94765089732683,28.62875335650907,23.658057993451738,25.17165528140738,27.508116676678355,23.351875088835733,20.87711522134652,25.22895648152444,26.704991896305884,27.981953559127305,29.0744316717215,30.743487545149822],[17.092446572229576,16.111838932143595,16.986658540996828,11.418808355868784,15.345872378000035,14.09186876403465,14.768291996499665,18.71122184529402,16.547498265429475,16.94640245534926,19.227691049483994,22.531397581231396,22.12226081263926,19.242462184992075,24.3097704144442,26.21881411160682,24.364472300839502,28.30670016772082,29.776769825419823,32.83076495072413,35.88645789372703,40.09645757455544,39.62948079624198,38.46022541683396,35.809551860786264,32.073339781933626,30.65103329345777,27.10217005345232,28.441056253834383,28.69464812322682,31.403795192301146,31.53847286769159,34.92538079575761,38.26178652714023,36.14799154691061,34.04818138643759,33.575843715524776,33.629037070661035,33.16815376552253,39.08301690506461,36.363911455167,36.38168845685744,40.79849943695721,39.82033008102921,41.64576616552844,40.22063635861328,44.13029802056173,43.41306386945767,38.65136672578657,41.995598794486106,45.15389211159679,44.84218041124612,47.290751340195456,42.13779636238664,46.53658722993586,49.690848815964,45.7950194560874,44.83413677025535,49.73113495452055,49.97721095463538,45.83655807134629,47.07937488676926,45.18124895668741,46.48251391195628,44.275522621532936,40.796355300892394,37.30930738077178,34.52958700299997,31.500771403393358,29.39672289507536,28.376056982615932,30.47005025432116,32.70453602409498,35.99328360062554,35.808462806159575,42.34179226343839,41.062712369311924,44.098437925175766,43.12998114925418,44.238014083086966,42.47530016993661,41.97897015587203,40.833153360662,40.504860614843345,37.063945366550854,36.156594411501565,37.84689556994427,38.716851797114714,38.01885013410607,41.11160097940248,38.45350834023152,41.21108267314059,37.77022579552602,35.871657430484646,31.16284676497339,31.33177641966583,26.984805405475683,30.317758253196136,28.175882665077264,30.45496529430024,31.88280988328716,31.655953881051822,33.019955608064095,31.805826127922337,34.85127796121167,30.50864389824229,33.42774830471225,32.00757672192708,28.354983037468088,28.627806515706705,23.683748342179705,23.25574056880989,19.44774518029659,19.412579118939867,19.038735903487833,18.687299239348786,21.83710680769895,21.97078464775609,26.153762740051835,24.7291664544719,21.44665993726184,18.786804138989286,16.15771998793403,14.875040748265107,13.745933423229165,16.751465409214514,17.711330717133748,20.905788912691538,24.066219285320695,28.59518954223976,28.07783781221742,32.61397433221702,32.768785396064125,33.69741617813184,29.2885349202205,25.106190166753077,23.170218098423575,21.32092491122925,19.43768744173459,22.287533567991144,23.153760738951807,27.740357795168283,26.93350776711175,25.049127258846916,28.55716743956904,27.158921772953335,24.188144381453718,23.94311661887981,24.164804258095376,21.553670475474974,23.868731032919296,23.066372349809306,27.764300573400156,27.308966074081162,27.803730404645638,28.48838099517734,26.22611139186677,27.408921064167036,27.50818224233845,27.71622461783495,27.094117918660913,29.111163848410634,26.834848441494387,31.34699208228436,31.902568871713143,29.300494480616326,31.56708704726199,32.87483072011823,30.332549794203516,26.777441505186506,27.569206443505855,25.97578589494303,29.901833107753347,31.3401442052774,32.404005973968644,33.82471461450499,32.0125989581453,37.649409580827644,36.63146531665669,37.840612243533066,36.33674973655378,32.749596291848796,36.74026582228758,38.74247322587831,35.853771727086745,38.88089227493477,37.92703238308643,41.97375176220739,39.25434108885881,40.71998697457222,40.2872031653437,37.60183053110817,36.93006011893212,34.92072027519379,35.60791965194924,36.003969614178715,31.358462075395945,33.02713704815515,30.558293192066202,29.594353783011034,32.24896416899047,30.813309173631698,26.901741982903683,27.852158702755254,30.56940549380641,26.51884396292228,23.250237078494347,27.569911650454692,29.394708360521314,23.37583735634134,24.312754730987482,27.49585424197611,24.739076098818888,21.51753764107394,25.51756627354007,25.069012182483167,30.39144857082205,30.10995499582922,30.590000203308428,33.81666240995955,38.361310178224855,41.83693642881228,43.40769334182979,43.61442790104425,42.47148436477034,44.76300139530362,42.168023389370425,46.00561620561357,45.08759273751558,38.88333155552049,41.3480724622103,44.634328097510576,40.58248631197274,38.32451452089394,41.49645108942546,41.63785242306807,37.47542285663679,36.377900541664616,33.474893327603205,35.407245775410566,38.393203012114256,37.68796125658645,39.52101444251547,42.170422906669636,39.32828127978466,35.74067996754242,37.767315976635366,37.99693170618271,33.25015931144655,32.48340003471726,34.438444756128575,32.26047155168406,29.51406356237719,34.1386101588874,34.27040461758313,29.76510833049523,31.48499516589277,35.46782824638844,34.54403025083142,37.406893482597795,36.38259732664042,39.99836174773171,38.59824827346928,33.096011526735246,36.54189156764352,38.070744404113974,34.87585025368668,33.32717773550378,39.16164991690119,37.876184248412684,32.65390679884489,34.95843698979781,39.50591810931862,37.35884064137234,33.4674344482546,28.76102263456235,32.35219826079158,28.20281498129106,29.155920645757693,23.907111011317994,24.122762557968226,19.963689064144354,19.052602133311108,20.849085251547745,23.82876246412765,24.15331994835203,26.24189032509149,22.272704389968286,25.402154461992215,21.108411505804096,20.950016389869837,25.0638780669548,27.236064168327218,26.486282095937224,21.756610048843832,22.940760719126093,24.65909116330735,20.544773778567286,18.010437662609807,22.124532608728078,23.064806734680804,24.203573882805166,25.217900582707156,27.0693770395094],[17.762059091138195,16.569164782726318,16.619548313624165,11.115725821956625,13.552380458695898,11.518103094303937,11.072441107761872,14.796854467987844,12.321125521935958,12.268479356605994,14.670837531955815,18.06749973099814,17.407462397943622,14.631871976392663,19.748306038995317,21.54354302587042,19.778191026020707,23.855371099167407,25.696806742991026,28.573951419960217,31.84204852468947,36.014199632514135,35.79146697684927,34.908674545140336,32.06849407612857,28.28326115858522,26.63800397111009,22.879735773990742,23.929676425564008,24.019952024955707,26.802306332644584,26.827734532098738,30.261957030799138,33.59598336708016,31.449940890655864,29.424135320232693,28.912653747397318,29.177495301985864,28.909511049366056,34.92322716651754,32.40244839332249,32.27914873046987,36.73690534084505,36.02132395701236,38.094023678392716,36.97524359634928,40.88599405548545,39.81744129569308,35.20532404194927,38.74965430654363,41.571040772660105,41.18961719674007,43.4407784793765,38.20764452825264,42.385393107846156,45.624403581178214,41.765043713555954,40.544066306724005,45.430757497871454,45.88497603930556,41.6548397923385,42.74294730969839,40.73204051665984,42.24311667042399,40.109774612929726,36.47291630276516,33.16772037107273,30.19989339756861,27.45813895629364,25.219451894302356,24.483708984021895,26.864669264741828,28.707110724676404,31.989987372006368,31.476516612736695,37.979745509562576,36.59532654001187,39.531721031785004,38.53686432572443,39.704266892769866,37.88584613990092,37.54740614870042,36.39007587495482,36.28452259795005,32.874920322954225,31.725568290171204,33.37553262168288,34.08211477675103,33.44685143259722,36.44904793020251,33.87563561631961,36.74180438376277,33.296840906827036,31.343422229554402,26.613703232406724,26.9746465358669,22.606528059554204,25.750182311347377,23.63119666395339,26.149771067797623,27.277536893615796,27.29684978174744,28.482959601797813,27.596538079805924,30.82950506692647,26.727001739790875,29.994930879658146,28.931226368778397,25.53477773653052,25.33870273075091,20.484424241270343,19.496493283488185,15.379127322010413,15.337676279262274,14.526281070849874,14.565829415853138,17.664222288968876,18.384423621999467,22.449767673875368,20.54992466671354,17.445300766292824,14.50160796480167,12.340581910331478,10.709169824083874,9.432067096248819,13.204524993808946,14.48169879436423,17.710285190560796,21.15231217725841,25.340550606684236,25.594203689211028,30.01117997695407,30.070068880179303,30.467467975831628,26.342080976544466,21.94837112811134,20.92653278596356,18.582186981151036,16.66601080231027,18.997857622032512,20.403730018588636,24.76626204294092,23.403757507301364,21.35059553466026,24.64926185571554,22.87337902396458,19.961699741992014,19.461988205931007,19.804857420122374,17.138692430648472,19.816685115535883,19.0046790767347,23.90464052662086,23.84773922854996,23.848596578121686,24.253117107945528,21.759910739273618,23.09897207531465,22.939634954369634,23.50173774728286,23.035640148962994,24.78513952283821,22.983212682935218,27.380035640622737,28.427892698697715,26.419548104823306,28.81984979796664,30.634028032591267,28.34917536959295,24.585595472227297,25.013235822959032,22.926052585161777,26.403496549226958,27.50022886977173,28.255333900797055,29.549006336526414,27.499814747558762,33.181683004638664,32.318516548775484,33.652006497573524,32.439101591620776,28.92457084642828,33.23177784116725,35.423015366377655,32.51119796605483,35.29260504696617,34.14216075632976,38.33717092049505,36.0189791130555,37.60717893226372,37.51434596407519,34.59242782829226,34.30118263178832,32.41146577062132,33.21807311900323,33.95361182764691,29.403582770039222,31.12815779022401,29.044605485843466,27.564104478894397,30.680455090709803,28.87934999888379,24.965297307133845,26.743739521573133,29.420877732473873,25.214041696714716,22.722315879653408,27.19794387524221,28.619189307669444,22.97447210753484,24.539327935509608,27.70256055199802,24.6819265672553,22.178979028312302,26.58769081275973,26.096648934807153,31.23865589947081,31.22016906833288,31.059818607563365,34.23681184291022,38.617309466590015,42.311255559459724,43.547127011084456,43.190230161840965,41.73862815010034,43.67894070375341,40.66364523775967,44.575587554549436,44.11970153817229,37.79532264981355,39.853776208885314,43.49820290222695,39.74582281345581,37.118157007210364,40.05605759656245,40.84602994389133,36.84348231316128,35.02763719797523,32.28774605372951,33.38753127210536,36.46638465749541,35.902495038401206,37.311880812650244,40.06346625753458,36.80408499747569,33.51122032590511,35.94208337750754,35.791992380097334,30.931906950733637,30.79792868772651,32.80159503421327,30.551128216295538,28.224673250793092,33.11144962522578,33.235084434553144,28.941068157965482,31.085883999755914,35.06524470803573,34.17871316700845,36.669442691900485,35.23249445382765,38.99689350119199,38.156147443799135,32.56881659479306,35.675661677643994,37.72810894051926,34.78378526139536,32.83486061612052,38.77637284162488,38.10663418662343,32.837902417523445,34.666040834972726,39.55564401311679,37.93263975198327,34.05157805601195,29.50506880874783,33.576929799554016,29.784918616222154,30.725551338519672,25.38164546911423,24.805490954870557,20.508481561864134,20.387981392073684,21.655062281890743,24.757770053547624,24.37263748909204,25.917433862622502,21.22465828283092,23.696365113600017,18.933342650873826,19.210274451612495,22.622246942710458,25.08667467272348,23.743482311955532,19.27655963757115,21.345690762743075,22.717082337583985,17.91072844245783,16.600583610107442,21.103856541808373,21.75281892490434,22.91144547964471,24.085608435824355,25.92222013529041],[13.707010484116777,12.9414023086651,13.71898055487884,9.11464545646378,12.542047519440159,8.975283944198573,9.877677492081897,13.226749552957504,11.076918811858485,12.74752277591569,15.01104929064652,17.5811004575053,18.128078875733895,16.09281377224037,20.921130016955576,22.625242587264538,21.672435045687426,26.05427306241126,28.5934896275394,31.15010911640295,34.730674244712525,38.790156356008076,38.880608938180906,38.28293275976002,35.20763223667508,31.48584570442132,29.471875136747617,25.485307669378418,25.953170987984393,25.300326169780075,28.153497598078904,27.444099050567367,30.67476020219933,34.46273259548385,32.476036374710176,30.992322559902743,29.99225011430006,31.101797609080208,31.06358222297261,36.969386058341904,34.89286242664037,34.9364549581585,39.36575862631085,38.92189876491992,41.31078156976042,40.37586825598386,44.210705588442714,42.82076261097329,38.21571286806446,41.70076581425925,44.26793903011199,43.591490417383305,45.798584548844055,40.54683061234911,44.36537440896074,47.93645631393938,44.31216403992413,42.69325608487374,47.545216777031804,48.43227377461877,44.18978099808486,45.047905093876395,42.78682604517004,44.72425277113596,42.7540463788439,38.848322045231136,35.86495325402885,32.54591590240977,30.226079480040298,27.563258886299,27.216842172597545,29.618815346880805,31.05899226975128,34.59914341198834,33.55588193745229,39.936968660929665,38.57578449864768,41.11570476311038,40.151486070024774,41.45984635118356,39.24959485377472,39.07792926911583,37.415390865302044,37.576278233710156,34.52429850116128,33.160284358250344,35.158401038568606,35.261500077670966,35.17946542091294,37.66814772819762,35.364314546547035,38.23583930333447,34.57521440072931,32.203155389719065,27.465115403052145,27.624821918588466,23.277217972219642,25.866318009882256,23.304119490298046,24.91886993081378,26.94651195790151,26.334219736137676,28.358686591222504,27.008060201559488,30.69216936852971,26.308732521473093,29.272023122277627,28.417037199492388,24.630926761011615,24.271101389105052,19.37197169727542,19.38496718381789,15.249690006629216,16.44864473673213,16.250800622977366,17.170894927916066,20.44564244355598,21.804232023654716,25.850977307335018,23.382988279151306,20.58692872327224,17.311912921536617,15.796866134447628,13.49525563890807,11.016735852384045,14.635279086304626,13.966156965454598,17.893874068659052,20.983419854300646,25.405572634162294,25.730007718440593,29.973206876106342,30.69379509616666,30.854707631151975,27.271499186959872,23.03539491381417,21.939029459599265,20.45395815863573,19.29354638473255,21.651966779800524,23.872100232877337,28.2320698266998,26.64615304577711,24.238979032858268,27.223373629199376,24.99859785981578,22.048138950950925,20.73402185229008,20.34573840348814,17.014590076233784,18.735154085818568,17.358713795249518,21.871486689548238,21.141291784498662,21.89469321686744,22.821693989999094,21.00644036464577,22.253135006074235,22.98466815929128,23.442288653233263,23.929113341283884,26.228329257156382,25.062302161879437,29.335458356031435,30.48851840550964,28.957428715040724,30.829752475943643,32.90145330130048,30.266572932982218,26.751967500619457,26.772092765353054,24.869316536907355,28.002628054445513,28.77752004619475,29.349389009255365,30.101263238670825,28.178003448199462,33.65999364447762,33.31895285449034,34.35728838884863,33.633617953264995,29.43417331867501,34.00462810326721,36.4629250595729,33.85714160619575,37.0339255680867,36.202819149354426,40.44957041792325,38.623758848983606,39.84232862677947,39.711723297825934,36.50588477680324,35.938611181196336,33.72194776734049,34.13740087454665,34.50401704404148,29.76697369658651,30.92529300771975,28.419401766003055,26.597774771436697,29.19637654327622,27.019840103294364,23.340998405688925,25.051139034329108,27.19028100149595,22.725103943136993,20.70685355184449,24.79955051528567,25.614212279525454,19.932342399303504,21.643772700372953,24.4569099318389,21.075589482900323,18.83785240662833,23.3867154977888,23.359473123640733,28.104307847268828,29.01321988650254,28.655456732978607,31.49385392125308,36.13513704870043,39.554882743747456,41.04454256875082,40.61091575643572,39.44332448261604,41.485304436906674,38.62726233811158,42.80132745374798,42.28391306588349,36.09033949160712,38.38675780899245,42.22855324594649,38.50973655292076,36.07003317815546,39.30297630492093,40.152276453663056,36.11950169720262,34.75499562092362,31.42211266341522,32.49638403274941,35.268764642144426,34.12794573723074,35.46952280564817,37.77912651176371,34.696075086660706,31.535587550593526,33.38152501498662,33.08701076445517,28.405743983138777,28.071536448204355,29.622359449350416,27.20305328733163,24.948390501472378,29.757542492021983,29.572435756108025,25.129970269007472,27.507939333996504,31.503417153095814,30.923748699192828,33.59444829979595,32.46656024624656,36.40420060887425,35.33777379965006,29.949440530174083,33.42696322051743,35.45364030606899,32.47976238982649,31.014232999390714,37.005884482356755,36.28837122151182,31.246073983923164,33.45449797381833,38.242179665283984,36.60946336187928,32.88644521365707,28.300413779297152,32.60212122787311,28.848760195580027,29.06539682816893,23.811172359714465,22.88198743948842,18.236994971161902,18.89370265285651,20.539435885393928,24.027364552561895,23.829423884001006,24.814527239699245,20.248614572406982,22.881378966522234,18.282497480214023,17.308056182167384,20.581709013775836,22.521003803853247,21.15755826595252,16.843121053313947,18.239511663921906,19.26698394014736,14.869555813100735,13.064599648564943,17.246774589428696,17.683677320579896,18.81875150627332,20.00919496236711,22.00209119008518],[15.301975844155557,15.188704375052332,16.004968941685316,12.668834475370495,14.90366337287238,9.506912349598988,9.472375182838883,11.135481042223851,7.721126043694526,10.081577264058977,11.408163541366278,13.48960282776689,15.289266929512184,13.437209745985886,17.632105081101027,19.525938917072697,19.570804386655734,23.912180816232077,27.14537233165044,29.59570500193593,33.395944914377026,37.44137265555432,37.936371295464355,37.818292068132585,34.693091863467295,30.834974927933125,28.747576904129005,24.49128211214296,24.111847791757818,22.854488300566956,24.986246978141548,24.14589774154401,26.918945478108537,30.94579054491598,29.410318779394462,28.4420929803328,27.50326539964434,29.436190828485415,29.97409336075826,36.0004864640791,34.33107393061004,33.87593015586282,38.335969169454984,38.408268726841705,41.03736011997682,40.60134305026983,44.42345403751146,42.60657655323822,38.38644172878534,42.16426853314659,44.19971840547707,43.473500838886,45.280478684985795,39.96049547699306,43.272600163492605,46.91422838793731,43.32738565208902,41.19429456162685,45.93827570536305,47.1755045421312,42.677291638412555,43.00183491069301,40.378870105572894,42.57144584081028,40.995531281698234,36.9271468435039,33.97960489324908,30.283127271156346,28.275796820678416,25.065705689894312,25.1101723219169,27.406497668530477,28.389438653190556,32.26004627325246,30.774183347799866,36.97870182597667,35.95439368967233,38.08748348262144,37.45129700011678,39.17540985048884,36.94164004308697,37.35875072359567,35.60927569037658,36.4012626322152,33.54991661204114,31.569201982523797,33.34944205371642,32.81913799208744,32.76845554093617,34.545626459012254,32.2423902832348,34.85797552342934,31.01073884555779,28.381245574854397,23.72981622069744,23.543362287852002,19.303126608051755,21.806656749299012,19.24239425458942,20.679114561325314,23.353570561720073,23.20773654005615,25.65691577407867,24.93391935920996,29.383732829205766,25.39043226469515,28.684504604003045,28.56792364711532,25.01240229473311,23.79971641806149,19.222371886330713,19.004664515324126,14.46332463113126,16.360600688575552,15.299638567050577,17.190005116377037,19.873583621689868,22.106843345837568,25.313995598117312,22.05680941422486,19.648527715588784,16.244735339892497,16.178884621431042,13.884485636044946,11.320595182186397,15.75058203162509,14.634431414064508,18.72236556126102,21.844997884147734,25.72196566985521,27.094568838411824,30.989127263586198,31.855278732749028,31.207762996603982,28.324578129277796,24.02000710121825,24.027956099817157,22.264371722820524,21.185087076561466,22.763360100372264,25.376586388355772,29.238174282346268,26.922540712839744,24.508644297901927,27.02212483759562,24.09701506995957,21.474649458166937,19.417720513482163,19.0221514913769,15.100098977927882,16.738532087929762,14.207405622072521,18.654173034623767,17.287136056457097,17.643954907299715,19.09703983023534,17.6358373333266,19.606025816963125,20.425384892362707,21.932285420389917,23.336150050116814,25.140460210748383,25.113442691503813,28.996438612546523,30.962526334973393,30.301463927395297,32.26506254268107,34.872761688086236,32.53071166784678,28.92296820762608,28.51205679170007,26.115426543070726,28.453421643943393,28.565095006682395,28.465316175390825,28.67284637869576,26.211802347323978,31.60600350833849,31.93146271606724,33.11496190943691,33.16693104974169,28.92667882888088,34.03301165712673,36.81911746757733,34.319402985403656,37.13732829199865,36.017910917503904,40.43674940646972,39.24357732464112,40.632153377125135,40.94540282129745,37.47378495224241,37.34846518267066,35.246808909757334,35.68414855092146,36.29450942247689,31.693749061976387,32.65076327420188,30.40241711745045,27.888851597698114,30.600643571243513,27.784229068525566,24.41441911483218,26.91893895996067,28.548274803869152,23.851830512724536,23.072372528845964,26.85397008055807,26.701278838149666,21.602101015356176,23.89785768831205,26.23728194536055,22.349727195744013,21.09438772733668,25.835902165687898,26.21559597783393,30.342475334484288,32.16080190604606,31.257555187272075,33.71881468601992,38.361530806687476,41.65436676674007,43.08575314909348,42.10778320334804,40.9026692443233,42.64292840186561,39.498353321641716,43.895848975758,43.82099582837119,37.694577221412644,39.69186572769007,43.97241455716775,40.6116720007756,37.96758596956992,41.073981363193596,42.557824626602354,38.71007460238111,36.923852896547466,33.53015126311897,33.69067718330597,36.32354854505561,34.96152241708975,35.692903587072976,37.69956811206717,34.24355694947181,31.693291030314644,33.47848316992553,32.49196681663493,27.952182218508327,28.306595762089614,29.33500417691269,26.6342893612313,25.144998754721183,30.02677910185863,29.39121598836675,25.10740638894382,28.238454862516715,32.14204170773039,31.992516094587973,34.42718732999752,33.197760814459826,37.384885443297556,36.6888943777572,31.52284045962599,34.90111519769607,37.358432228506224,34.63551949723814,33.203463321150785,39.20477293774226,38.96509881780675,34.11800595821305,36.12590923980309,41.05212479264092,39.81499219180708,36.23613150413182,31.817347742815965,36.42983109475346,32.93207618038163,32.79294040632417,27.65313842204936,26.119217330313486,21.360515468170362,22.85293923841752,24.337956500635556,27.950370160583,27.398895578851217,27.722223812149394,22.78772677519738,24.748789735379557,19.953000860875413,18.719475612773035,20.738571030658488,22.478846856037855,20.129711466345515,16.730261159524307,18.57275512441537,18.457365818369006,13.666338737268429,13.492080967210592,17.28083076914678,16.63382687816631,17.463534484419462,18.571559483097005,20.631603444701263],[11.9513160983116,12.083739880036926,13.2414224971976,11.20309088951502,13.740540192084335,7.674016879382484,9.151048603583321,10.448737693020627,8.492513291442608,12.182154907196448,13.727861063560646,14.82610715236844,17.12143043305694,16.22891247692649,20.161627568026233,21.658400666338384,22.009612113528387,26.543516084872017,30.079915452443565,32.136180347987526,36.107733876359504,39.960493843303404,40.59916459739398,40.571624242022516,37.2285665344902,33.57651519366602,31.14542873851501,26.886290527552948,26.339620248309565,24.641306665956513,27.253245772275953,25.635754323493284,28.391330407775985,32.6837214463411,31.065016008296716,30.43179892412293,28.930438757519177,31.303072908222536,31.792364166594798,37.54207961860034,36.18727596384288,36.15356993750344,40.5015710452111,40.62964158979444,43.47882173175629,43.03480716562278,46.74844725721079,44.76566826810862,40.43505710500705,44.001690146642744,45.952352648714026,44.945109237636444,46.84653592255007,41.590439036713576,44.705319651793054,48.633358820082364,45.32128436338524,43.022101427921896,47.728471484516305,49.26529596212855,44.93373109145723,45.28885646321051,42.62358480358139,45.15737780543479,43.55053319356214,39.3084438388459,36.80143004249959,32.992436690410265,31.391503813870887,28.156670393514418,28.46225172494093,30.903983078232173,31.577430723750048,35.388113182645455,33.52966447116213,39.57197518369679,38.32500150243875,40.210521292865735,39.39672520753901,41.007371103679745,38.38096029858807,38.676411514409295,36.46782413517814,37.25003212451445,34.7267760926288,32.83099128206434,35.05150273537799,34.20269641110915,34.76001513488377,36.3501268185669,34.43219640555133,37.21607606661747,33.33661050796726,30.443813210530067,25.86961080306042,25.782425060792658,21.681853230682655,23.343217415589297,20.34773908985383,20.77290593191874,23.96571080015907,22.88220287559168,25.94966927041956,24.497073745393052,29.00206753699503,24.71212652828431,27.537571426205496,27.43050916218106,23.56756259953916,22.426994661240816,17.915603685649227,18.724907746021785,14.608404072064868,17.306860180119102,17.230791243255908,19.394067568592437,22.402160971522168,24.78603234315385,28.34919255415791,24.99540144608586,22.81342406295419,19.286885950636616,19.05794406497357,16.292695496798096,13.044326841558108,16.663366691571422,14.066791521449334,18.438904547293753,21.083228425127494,25.149723660976953,26.321036322438133,30.035572902731445,31.43669869463365,30.78269007001261,28.27927002898891,24.25576946695528,23.96799225182599,23.03342672967938,22.595960261028573,24.38313902253006,27.55528963470224,31.539135591136176,29.324855655678256,26.609017724427883,28.946308757051256,25.955186128884108,23.243046761671295,20.79445205151631,19.689356089170907,15.575994599334944,16.09749209806167,13.529618771670577,17.356466015388133,15.62814649955615,17.034039075888987,18.70226234461181,17.89364412928702,19.32215866871616,21.027598295188444,21.925604390247408,23.88717183751904,26.357367244810703,26.505346640381,30.317586075353965,32.0596536830912,31.585646846034322,33.0107392741969,35.6847955470381,33.00560591865944,29.693825241511593,29.032075861366256,26.975886906221557,29.17574358410736,29.196103714894228,29.16076905464708,29.034558232461094,26.992569735023483,32.08550612286122,32.65364938190582,33.46256311156795,33.71066089750207,28.915030029160835,34.0007647059791,36.89607608460902,34.688573892355166,37.950251638761145,37.25897205559883,41.615168763342375,40.70511281727726,41.660785201987444,41.80706088706682,38.18032589204574,37.6881989596716,35.297763470480135,35.37804523702591,35.61158676288744,30.91031791117894,31.3992348370838,28.81439245934288,26.158977693658265,28.364998685187075,25.368233989842228,22.247559876223878,24.564870850320048,25.760967519403202,20.979530574706995,20.591687850140524,23.971511191126194,23.38377692507769,18.39393216194523,20.78742261002477,22.820037185798345,18.758384077273426,17.854664433743597,22.60043595144982,23.26136950868799,26.99997513350506,29.419437099919268,28.326106284096763,30.513056669532297,35.25632822497162,38.35490633182216,39.91728195954035,38.90048307557382,37.90169210191503,39.725254840156744,36.75983536860103,41.29534774744079,41.126124216986625,35.15474334254474,37.347032968843514,41.69140798174472,38.36040136521582,35.9138562999031,39.233862112851185,40.68605856283051,36.85128563334612,35.48625354813491,31.673429502423506,31.918545644430164,34.274628396728055,32.48754145377017,33.25052435275334,34.928976753257615,31.725454663094915,29.201361847571008,30.493248571626864,29.52116378706207,25.15287189470582,25.231567357484565,25.96696843575977,23.20250992066362,21.69494158960667,26.470296731901545,25.685136294825806,21.33084694872176,24.54871327774852,28.432365441261645,28.450946613084348,30.981830467800382,29.98375515066605,34.235820476406886,33.37214770543919,28.39383047198497,31.994620948903094,34.39024732989283,31.68286998711852,30.611705884863206,36.56614656388948,36.302076694879645,31.68823594757303,33.93198479680059,38.71898665492827,37.508394434977355,34.100582944356205,29.755649245099775,34.48467029371971,31.133631407117264,30.482040218734564,25.53805180976742,23.6936498992887,18.872686368503555,20.981722710873456,22.59443265279675,26.36282013443597,25.915602962599706,25.78759750645955,21.119555953602486,23.172840483341837,18.74254369304989,16.52353522494593,18.43685877938664,19.678630428776376,17.532292060037687,14.260553917411478,15.377555062155885,15.060781084552973,10.849855817726862,10.136183464029669,13.54687733241085,12.842464753348445,13.756084143484761,15.009349061864496,17.223134870833757],[13.38802813367817,14.48855115545549,16.379922935955022,15.036887747250795,17.689592763530513,11.38677526104227,12.626234151478215,12.802375952277252,10.256485775593987,14.052707000297652,14.567955665129373,15.098748776390138,18.56323877886325,17.582577931304655,20.81694566916803,22.58914172977813,23.672678958952428,27.97329699450981,31.777405932307065,33.92908389295181,37.919396139470585,41.81437685890399,42.63765613273239,42.84078477685803,39.598329926263204,35.81008478790791,33.51608987592112,29.165831993923092,28.148724568006422,26.14118386939552,27.892072475037978,26.36618050820979,28.53409742747042,32.977119466321035,31.887792083091053,31.67160854859724,30.353960880779123,33.2452744773822,34.11481431776735,39.932739436727914,38.7654419146506,38.319926436596404,42.68532517508519,43.09811136367202,45.979001064511,45.78192526252035,49.51616503392905,47.39022421489713,43.304842905752736,47.04678191532148,48.75445174388172,47.77923775404168,49.43659417766019,44.16030862530855,46.97539936306093,50.877888793916696,47.54731294470055,44.96391623475032,49.56641070526263,51.26421538972851,46.733528651503946,46.67253520097263,43.74432553262396,46.32912429568581,45.065041767238306,40.81168299715428,38.152885367385,34.15769945417232,32.58149406296509,28.96587702487034,29.372256968074474,31.467627152357537,32.03760917377917,36.161115708357826,34.182476234081975,40.04092342826818,39.25486870530658,40.81470360631713,40.38334617893231,42.36786759497318,39.81745313103874,40.58093888816884,38.35942079951997,39.57476061355285,37.186660918211935,34.899923632703256,36.87498246078975,35.5850096797284,36.0490516825357,36.99942697426432,34.996037534364035,37.3762647890476,33.35073726563755,30.299909720320233,25.93455700982906,25.29218115909906,21.45572204256402,23.212281426207873,20.354382982826415,20.332481590214112,24.42272065988803,23.709507255278744,27.24350473700666,26.243800366830243,31.247406300385755,27.239788561775157,30.098541653734955,30.412338374730453,26.64109561546229,25.096215416680167,20.911963203608465,21.770475228911934,17.617881086462507,20.52880132153423,19.89262185393956,22.349492212391823,24.92689867762718,27.57429469080018,30.533492748253302,26.864578271387884,24.80544067143871,21.38825177460767,21.832945466699634,19.351343115137105,16.37499230252162,20.322247924532988,17.680121076714794,22.019510700002648,24.571455181965156,28.36612805716896,29.917329813827173,33.42651634242989,34.965607672935036,33.96668257924608,31.8270216908051,27.825359151077446,27.87048964017523,26.83804263506398,26.30927981368944,27.832654859618273,30.91966259644936,34.69509278517051,32.18859523648287,29.603901848315807,31.75960806562318,28.461129403470803,25.98917294768189,23.25228407415502,22.220017394013848,17.87212451234934,18.14732747700357,14.628694120031588,17.858605389971373,14.884765679831148,16.369816437698457,18.924489241056964,18.767883444859894,20.758226883418107,22.60880258710472,24.23319878416224,26.744938723447895,28.853814620088084,29.577001218558756,33.168911905110406,35.31159606101398,35.14323993081489,36.65981751762754,39.481670341528435,36.90802290162479,33.55998553940765,32.8081668641922,30.58322827676046,32.47097793824507,32.17845592749214,31.767519046408943,31.286011638865087,28.90544929045393,33.836354430949065,34.892784409868476,35.77931615444248,36.50963626459398,31.71776935664991,37.03661626803686,40.081724187595405,37.9519239047744,41.01092315046338,40.140057286190576,44.56555859848948,43.91704639139734,45.00204117194913,45.34018368820119,41.635172681321095,41.32287677496333,38.976384706635855,39.034910450666864,39.29247596449728,34.64454763455056,34.9593271552031,32.36432562683864,29.46790547744843,31.45196385084862,28.15157099707871,25.355369352625914,27.77295622315882,28.505630434282253,23.681468760882602,23.85303493082165,26.803294962782076,25.5457198284733,20.911136223431523,23.34567500245501,24.85923760412663,20.49942590696133,20.04394050762451,24.62330620655298,25.780421324601836,28.965039048680957,32.18579342801797,31.024353735490678,32.83189807630596,37.705253518941056,40.4611530959859,42.24537081477507,41.10334255837197,40.33242762583754,42.11627391155007,39.20934361548857,43.89966485603672,43.82614990254287,38.04112453979835,40.23682717008187,44.738898689367836,41.54774140557234,39.174880560984334,42.53240086408264,44.133419573850354,40.36160694659698,39.084385441488955,35.12083696991563,35.10373289274276,37.25520369187379,35.15418467627656,35.6245173914552,36.87293637718103,33.66281752303001,31.567193120072247,32.42786572739119,31.036803605167616,27.00840558700298,27.261904750557942,27.337547734900376,24.356473293020944,23.36284463291803,27.88751161647926,26.56140902244153,22.23778267402253,25.912216316919803,29.65321912959038,30.157205290018425,32.74419261547145,32.02022886109235,36.387448206554836,35.44805392293004,30.82193698690176,34.58199520521287,36.992123938785944,34.35643171392969,33.64269314378469,39.50882166859225,39.25994882565682,34.88531781734421,37.28073284951259,41.95219981916435,40.75238422984964,37.478455033627974,33.172975535213745,37.879230200675956,34.52330829793757,33.515334281055154,28.74191523416324,26.873644988302647,22.035375022575135,24.356067356515197,26.183141387497002,30.007893882238758,29.6931167030102,29.364175622980373,24.83504420654963,26.75986583499212,22.45371381057125,19.87392934936288,21.180316688694532,21.952400223608375,19.392195034797496,16.957878131214965,17.676021098265306,16.43213544938,12.857572451125463,12.640129243700285,14.948726073426638,13.179086619231889,13.583698289371863,14.440318716179254,16.782351481201758],[12.615008388512285,14.49552820850353,16.789036270075716,17.50643911094346,19.923493633036117,13.649922009335121,15.687451190101205,14.844519278260455,13.778607729606247,18.245163309740256,18.621444931664183,17.921301340822772,22.0639003952344,22.071240462402837,24.679365500263724,26.02789865615742,27.706134531479098,32.035045888684515,36.269797432465076,37.95725318081686,42.131595272554094,45.75658780842462,46.878290629880624,47.328853039782786,43.88314157250338,40.30062119650458,37.67888577707413,33.32775436021946,31.904454311381382,29.300446075656314,31.19690809071419,28.820831897103407,30.625250474510207,35.339895252920286,34.41190708463078,34.80489119465797,32.93329312161785,36.54236192571541,37.54798516275372,42.9905192508761,42.320565868437434,42.16188045602628,46.35600144206732,47.00097281936678,50.159244979448864,50.117711360827904,53.7068328187714,51.2836890033589,47.251082667433174,50.831016258135115,52.253771792762,50.964842319694874,52.56615228911684,47.39729335930169,49.76171607574199,53.96845651307645,50.99569507796474,48.057941600573805,52.51833800131389,54.6736793706895,50.274213875077514,50.03556101820065,46.94916890313016,49.9792565153177,48.85630086111421,44.41287852881056,42.2785315841462,38.10361333741211,37.07439711342299,33.32897697818496,34.10419976775465,36.25357491791118,36.35647335995837,40.46228512767122,37.97295663477766,43.46127342005206,42.58761862780193,43.65569532123498,43.17868387840274,45.17586545705528,42.21908823045585,43.086768157864356,40.33257857987473,41.7834546648007,39.894337232920044,37.52038349334264,39.85197624385734,37.96544766515037,39.12169639566895,39.5161926563874,38.00801941952661,40.39325201769556,36.34635133115589,32.97268966514884,28.925628558980478,28.242789886457032,24.833466377418162,25.501910942796894,22.343512011668125,20.822722468616934,25.76192767901438,24.121248321715267,28.499928561738766,26.94394542892878,32.14839181221414,28.129553949384213,30.366990821782316,31.00556661477519,27.136899809129254,25.41642891938972,21.83352608758737,23.73446596503053,20.27081917817009,23.90530213901169,23.956047189660868,26.77845203166583,29.430112380853508,32.372618934270044,35.404084410440035,31.494977326803077,29.781757963509072,26.30720096845168,26.90556299881504,24.107527623868783,20.72553104725855,23.973151253365117,20.072581397432053,24.359950610807235,26.22496601761125,29.831435428698278,31.441131681523885,34.46478727465923,36.65616465734056,35.39102739076863,34.01535914158869,30.44497911943072,30.490620331466733,30.255368044862625,30.35805368719732,31.855487441563746,35.50370295958605,39.23269066462155,36.659343972021304,33.82716060080685,35.64080977258661,32.14054834188895,29.756779829836855,26.527051460894487,24.828959374984905,20.429871608729105,19.3520900155568,15.637166183228343,17.289415983677817,13.303865684882338,16.172517989214768,19.251312036389244,20.26944700262338,21.77579919520615,24.611692527155327,25.879704354123906,29.236746372655137,31.800308130255974,33.049099986444446,36.34896089217712,38.461228820608454,38.755852355556506,39.707838703800945,42.708464311390465,39.89971587280938,36.90174183445843,35.789538457214356,33.8348865553475,35.2888878082533,34.68239411435394,34.1124971010054,33.041414057444655,31.02395169286875,35.35870649425021,36.96703550737665,37.43867259423671,38.68762359143215,33.38768294356994,38.71355775600944,41.93672411352925,40.24030898911271,43.6151403025448,43.14411021850667,47.46944665378029,47.36384297895762,48.01929212233621,48.31563488343849,44.406150510131376,43.828604292121526,41.231912173449246,40.87912563417368,40.75891931603381,36.16367905598858,35.82106995371215,32.97654068232743,29.77938229108031,30.988614655879747,27.325926147683468,25.2322493299496,27.513877344278722,27.32025549481079,22.612987473014478,23.849772196908134,25.8303775515913,23.465115638312465,19.715633270396136,22.265300415934718,22.859879037079466,18.278754319919898,18.941818820734724,23.125016344587298,24.90881108808353,26.961761193813782,31.431914065613718,29.87927226130203,30.978220467214797,35.86820452367354,38.12833186356635,40.097823736678485,38.709257719217504,38.31667904929273,40.06189174075962,37.41105384766013,42.29692683809506,42.26163695625964,36.92153281366517,39.22778914918996,43.88110764547927,40.954527917945526,38.865019903610765,42.38083877961347,44.12968204250894,40.53437531281355,39.71834327392652,35.3052195010541,35.06463413853912,36.68338832733929,33.91475754308816,34.1248395072523,34.610899522144884,31.751359836589373,30.130896427240142,30.064567323766664,28.341302756889,24.954445052296386,25.092961659284562,24.234935082696403,21.102595249325837,20.691982629394065,24.681681151689656,22.738824773410148,18.61707005948764,22.743927240340085,26.175876468843637,27.291298997870335,29.86239194864941,29.58737032819529,34.02117582960789,32.962371371091585,28.991802106750374,32.93734995486297,35.31874686783866,32.89990404970033,32.830181138935856,38.410135539861045,38.286436662649805,34.48788116807526,37.09383369096787,41.460122105064585,40.44542874185042,37.557601322644885,33.5447127202368,38.31851738390926,35.312297930822744,33.513607328087986,29.269194059333813,26.947360370850852,22.340871362719273,25.493279833786104,27.373149964811248,31.239035570703454,31.000335669156012,29.935551900016197,25.916288021591175,27.63039966036078,24.00509594751146,20.35654544718027,20.831685790869233,20.585549077455404,18.078165441594482,16.810102105018608,16.348368356676346,14.026782103344836,12.342425564778983,12.223990358508686,12.539393605430819,9.703041196725563,9.507492841390642,10.23181169495988,12.808841435166284],[16.325827964796368,18.429613812277722,20.83786481069139,21.14608569533191,23.554487336752135,17.10147791707705,18.523389724633375,17.26640323895488,15.373540586895022,19.447100241209295,19.01556263725187,18.10523707096565,22.897864404195158,22.623356194543685,24.623674286417508,26.259404707790157,28.434453154171493,32.445881228803884,36.78019459095835,38.628681571746704,42.73591347231464,46.43233426649402,47.660315695994285,48.29046030689391,45.010356370253156,41.2798220947381,38.88528695506279,34.49757636966381,32.744497742338545,30.045660557661996,31.026808085594055,29.00160452109684,30.243489167983522,34.94045281908621,34.53575240134412,35.189287091858766,33.68021684785237,37.55776131496135,38.892825680362776,44.45898642170121,43.85763075752509,43.20423754671926,47.424600446551686,48.30176644096984,51.41499335416447,51.59805845260001,55.226635943322634,52.7271967619313,48.95871593334969,52.748457314823206,53.978128872476006,52.81263183703604,54.15772626480031,48.967026905828476,51.126026002327215,55.197947025936486,52.12721277560607,49.00819761091927,53.36177427164027,55.55461284436806,50.947404340246614,50.32270270922667,47.03311690932378,49.98834883711346,49.192290720182726,44.82083949755991,42.445179671904825,38.178920129231614,37.09272215792377,33.079784498046365,33.88252639129719,35.67196500165485,35.72633876573491,40.06289678037761,37.58135461901728,42.87631007831521,42.498075263590806,43.331895432195786,43.26767918952568,45.627965170586705,42.888100430276225,44.202361184312394,41.627674974222536,43.44070754826017,41.56180031676195,38.83785324614672,40.790587835672774,38.64070553463607,39.50264819029601,39.374347257292925,37.68604888916386,39.6229933391472,35.504214393629084,32.107945692679806,28.319553937369403,27.11398017485388,24.032856238163916,24.964844785736613,22.158545989789037,20.607540221487298,26.059473011584952,25.158564699394056,29.611619530061898,28.763872002696107,34.30451326293864,30.675099267927443,33.16450100765918,34.128535685046415,30.478321186197007,28.422989135476186,25.01056114948101,26.472421686904905,22.785154684140256,26.29033502138318,25.643797358572883,28.59044166818415,30.804228384650205,33.901244952063955,36.320275257609936,32.215391552073996,30.58690900235375,27.28254157976555,28.432637432818957,25.966705556061687,22.940843500783554,26.66834559460715,23.237184273194238,27.46656035400988,29.510710417357767,32.85551223154359,34.86009986923922,37.83054753480123,39.8833530177046,38.33694700741433,37.0755572352035,33.38464736917302,33.81127014829291,33.16596146698955,32.9830879061462,34.2088537323789,37.6314711702033,41.13990374298917,38.29536942603768,35.66647664533726,37.371955925945954,33.663043751769955,31.513200762108042,28.205029341496328,26.819761986420012,22.349180574436133,21.56862236547784,17.258704937818315,18.694663317034703,13.949771908016968,16.21805629585641,19.911261263410633,21.197254927005858,23.34572582226066,25.894473455103515,27.961409191217253,31.505065134227287,33.527346048597735,35.17345066915557,38.313390406593705,40.84336226859241,41.322522578628785,42.5495442780286,45.665225751683835,43.07002180231573,39.90988248769649,38.809712872732014,36.57782034633701,37.83668273008122,37.013254527939466,36.11370920772438,34.887966966656414,32.43712086474846,36.71993034531263,38.63998921947477,39.32826555294539,40.90668285506971,35.84185315791094,41.36789651188412,44.66976497381528,42.90927582975031,45.935769621541056,45.144170240169004,49.56536402379734,49.58259055176054,50.505017573115204,51.0292490641568,47.10616117456379,46.83138642196091,44.391267026842776,44.180609200975105,44.261427179820785,39.73450435111883,39.48587867877862,36.80263489062172,33.47136209605825,34.81986320590183,31.024877844826843,29.003544837691717,31.502508134564987,31.245047186944653,26.55498906796518,27.93799790372175,29.90859902904258,27.360220249524367,23.798904458871696,26.33851087147694,26.79808305530828,22.198526559678303,22.91160923553427,26.97896044917261,28.896845343366884,30.79771432829906,35.46189916023201,33.93813333378698,34.92292022227123,39.813035207087516,41.91755269649271,43.95745634560815,42.46342953990202,42.116051006008966,43.753379513910275,41.03532472110576,45.95438490348701,46.0745457822979,40.798551934704676,42.97533840052481,47.73408295104611,44.9150414671067,42.75687132449571,46.185020820754026,48.098348167593066,44.54273757026688,43.54730357297636,39.221630763242665,38.70820154934585,40.32157763881819,37.55635096961162,37.499349308927165,37.83304773488786,34.82025512972105,33.546587857594965,33.45629476735041,31.38978827899895,28.206623148026395,28.674929290596847,27.52406266981892,24.336768408160378,24.34891197675156,28.162485237777027,25.944630468020105,22.05206910999305,26.35735750796358,29.616762714371717,30.97891270375229,33.471684599741714,33.241989371493744,37.69577818239107,36.72269219796074,32.92631299963528,36.81759474814933,39.26714393535342,36.914249673000775,36.87417301033129,42.421413650409065,42.353903497125955,38.59695985929905,41.16626053965443,45.549393483310595,44.553946275403376,41.66819025160484,37.63449391062586,42.37841477674046,39.295739488742036,37.51587503575563,33.25381274907403,31.03514762593306,26.400848099526325,29.40610507967556,31.352018892105136,35.22417550594102,34.98602262539585,33.98838231228985,29.842986444310746,31.426950651885075,27.63063222675794,24.238929173708115,24.40774850591689,24.18041744101697,21.273919425116677,20.414513803245487,20.2590644361909,17.591948545023325,15.780726166017939,16.257007585583565,16.491314809363878,13.297748291843105,12.838287433723409,13.003592565292047,15.196194882133339],[18.01868078617982,19.512910583686406,21.40102061308785,20.392928175492056,22.52715769531481,16.010753495965954,16.464028838986295,15.389548004346107,12.282579870081992,15.673330148232637,14.836309106182705,14.509070524500096,19.19505394329005,18.303414495654465,20.321792798885788,22.30564022272884,24.3675606327228,28.213068730693713,32.37215798793718,34.50735575641038,38.487634284761974,42.33736850010248,43.46622771605521,44.05639476421984,40.95337037631083,37.06889985203212,34.94259343312474,30.55272439914501,28.85432799840204,26.461365854698453,27.008815667341004,25.645428126871206,26.96210445302808,31.47508185613505,31.115299512387484,31.46823952435946,30.450866160961265,33.986190974125556,35.39413898414987,41.22035050789269,40.35879595439669,39.32428830612171,43.640457074409824,44.4955111505294,47.43615672171611,47.6610742494445,51.36896975539386,48.985815110082676,45.338762991726746,49.325498380332284,50.59721587927126,49.68369012193356,50.93112974531858,45.67229946301967,48.0099458152726,51.82364808799554,48.498972556787436,45.51608331852799,49.919774795397785,51.84143199596325,47.07645078954452,46.4240713349291,43.165163582369225,45.83203774320281,45.058364760379845,40.82209276776133,38.08134308694623,33.87932596023483,32.503399401998905,28.46525689885407,29.121449134455602,30.804877757993328,31.037805763709315,35.44424063778243,33.22582387029582,38.698776634543016,38.497401191586086,39.577455760635736,39.65695677508007,42.124613216624404,39.73838379330867,41.1640892113949,39.01907031784078,40.845426255090935,38.64421021537698,35.81458481836862,37.37474254801203,35.50902453743339,35.814401705287516,35.880531600775925,33.81634884297665,35.64433504848815,31.511230523087214,28.309808898819792,24.358812849143778,23.047816806881293,19.752118895211588,21.47955302693038,18.986182045054743,18.57089001168337,23.528886819266937,23.59166136405179,27.4387393054156,27.297196367617758,32.85440487997643,29.430319718696918,32.49254931710344,33.426347378658946,30.00085035429449,27.839330318338607,24.167060402505548,24.69318558599896,20.531647452217857,23.536843578717576,22.12212550614283,24.96980696389807,26.85128091484734,29.91558068628915,31.94935110503388,27.8561199076654,26.157671367034286,22.991217518133563,24.445700417667364,22.33237446062862,19.770303929626643,24.04846813774195,21.614787078446525,25.748967828239465,28.282048564246523,31.520862540455564,33.786055983502074,36.99435762028806,38.52833892255698,36.952930573885254,35.3193058535507,31.328305082512976,32.09315033262873,30.735082410557915,30.08121340777536,31.062715104279487,34.10241675513583,37.432061122821494,34.45215182644989,32.06649789278848,33.851826172330334,30.144153589142228,28.09955392980425,25.027320109168887,24.202759250331983,19.773492047351414,19.984592798936312,15.549676683581792,18.036149978993738,13.94407604338088,14.828908999779735,18.279425895452263,18.79849041053666,21.556470866501897,23.29614407941407,25.979156051434583,29.081361358741155,30.52221459339723,32.10079571028998,35.277069891422656,38.0528765748663,38.44244771353308,40.13904454202404,43.24989701738845,40.97203883536599,37.53509240519874,36.60402781453776,34.03408349138669,35.361173097144146,34.58464310873375,33.60112015269573,32.68215272982959,29.795965535616133,34.44924683656382,36.127096275973024,37.19258108252315,38.585501653676374,34.006165762111905,39.622620272997,42.84942165540127,40.79191154665328,43.403305948570996,42.204216971228085,46.70020975497365,46.494048390722774,47.81680314149217,48.5235396872745,44.71604746370543,44.8097710865112,42.637570285114364,42.77737534302312,43.25809112727051,38.78190132166862,39.021736980817025,36.672114547801975,33.40218139665378,35.42878606894945,31.766181803536657,29.300044132628763,32.151101341841695,32.51184897893832,27.713315076808748,28.621857333379662,31.286432055425053,29.37834471304716,25.355486190395396,27.988748446651233,29.08453270708336,24.564108316923374,24.72363175052502,29.16441838963487,30.603837176776416,33.27219393873953,37.07186156401231,35.66688515186434,37.15159167554505,41.970951426101,44.51417452232916,46.30297735307809,44.80800161242876,44.08086164048595,45.61946424045692,42.56910231092951,47.3672719695271,47.623968093556975,42.001419691267856,43.949262092251075,48.706946461221214,45.80773720401225,43.333402308970015,46.54694816176434,48.55966464458689,44.94343507302183,43.390207000855405,39.47684685536106,38.83354693295375,40.84103317166343,38.60379375243107,38.55599305863093,39.45411392672533,36.01997127821383,34.56173916246641,35.26936416913089,33.26232252047491,29.595260396813465,30.41299917678948,29.9141244111965,26.785972269789845,26.57672686936956,30.868760990565693,29.079598826700433,25.10714513206399,29.268407391561304,32.75536281042325,33.6898951326208,36.063575587726326,35.36562021547923,39.82413698983365,39.13237470776693,34.843685255044505,38.48185626506028,41.119115397399234,38.69443060748647,38.06910278751206,43.834005397273515,43.86465794945674,39.68333429517652,41.95010835760809,46.63885201646843,45.65891476471026,42.496237244222065,38.30521853632106,43.09216719975759,39.838818517711104,38.667043898698246,34.00689197463523,31.95425166643023,27.16765489304731,29.709618741923496,31.48320398531796,35.31248706983732,34.85857994863989,34.26738865847925,29.619752360205407,31.121631829108093,26.793882033661603,24.28031664814047,24.68015166940968,25.208263090607424,21.977760371609858,20.58510432783433,21.497942883135355,19.33231072626792,16.066826214497425,17.058888128833225,18.609263997761158,15.920542732650029,15.792654653315346,16.212429269261975,18.305032034110887],[17.21287831409306,18.23932099108296,19.445136263013936,18.800327633788164,20.163189351859018,13.570586506299001,13.824847904002523,12.176122198798353,9.655728320723847,13.5837038957688,13.089453799778951,12.215292848117983,16.886324941065666,16.77359444450287,18.81004871649916,20.3438876933959,22.447453686612352,26.507522967098076,30.90182611353975,32.64421786404118,36.780829793967726,40.44659941043945,41.689464103045104,42.36516141292084,39.04929599257211,35.36160138193341,32.91879791057626,28.531702870824212,26.73358883514572,24.082320281637905,25.288369180176495,23.305676648941336,24.902076323838372,29.53848235598804,28.86577432324886,29.302388280662527,27.85788194912218,31.57725450245248,32.92404594990129,38.55856261138531,37.91108720182734,37.19484437738603,41.417725204105416,42.31378763435466,45.44719412226059,45.709807909397135,49.31566714312982,46.76224830167156,43.07525099030402,46.93783443099479,48.086495954331504,46.99390543137082,48.27551782769608,43.06357787355871,45.28239857795382,49.27355996999009,46.14236753482406,43.075916699014144,47.47435268085564,49.58226171994852,44.97784354868028,44.45689080687943,41.25121719072149,44.19010885761476,43.27631767849665,38.89022230475538,36.59084076682909,32.3367454557945,31.367772263005453,27.453111345627384,28.381195354754226,30.460209864871132,30.33594924603142,34.50799416616021,31.951722728326683,37.37997540329986,36.755042858085964,37.789285988161225,37.56399959058895,39.82205334577142,37.15875263558685,38.413411602673904,36.03048483265773,37.81318818873521,35.77883932545896,33.01491287087983,34.87121489639222,32.906843594653424,33.639816026087914,33.82521229314959,32.08775000259552,34.28973749139055,30.2123845903542,26.881869412062297,22.843253413967794,22.020449969751525,18.64199409316541,19.591044932562003,16.68780555460404,15.924428272331351,20.77045256800398,20.312467802925827,24.296269254670943,23.849164308015524,29.401504250511117,25.959593618247172,28.963779722629944,30.0026937137027,26.658959147278207,24.359235640408016,20.851131275963525,21.495977236129583,17.54053166980881,20.87018673336464,19.860800183051484,22.96805188103053,24.986898038298087,28.27307104908344,30.565472099361436,26.362368449075458,24.911592025447053,21.601335445202196,23.065001138224225,20.6113642513188,17.733964693175473,21.648007404891032,18.776458977617352,22.817679591880328,25.1798827304794,28.244678863099395,30.702161547041587,33.739029601313746,35.37962179874687,33.64147270943094,32.280125001871376,28.42834089928712,29.422533843816538,28.276248026985485,27.957776430441378,28.812973409593102,32.28756030171121,35.552603130681135,32.5305156054374,29.93219996339765,31.512550761318213,27.728496300931084,25.67407334106878,22.347282277245732,21.18945372428436,16.724676105181025,16.548672809773237,12.10009008407057,14.541649559858246,10.75475056883907,11.883198531338342,15.094958877943554,15.702607522565685,18.17900272739506,20.241899576572806,22.668176929734955,26.023832313556717,27.711654024944828,29.4890832204022,32.54334594675216,35.29352991546925,35.967519105662525,37.4119431227155,40.675710567753356,38.383113110604725,35.07449940757712,33.91899394954775,31.387358449436032,32.45607022304827,31.542778685468683,30.528263905711864,29.459877525691635,26.774922655111354,31.31072723304679,33.045302203049616,33.953258006960404,35.44834431757748,30.703153430454485,36.33508576242914,39.620883347589455,37.695474467325674,40.414275483704394,39.40162662927043,43.86027519013305,43.898996964027866,45.01137441877226,45.727868644713105,41.81896956286384,41.87325843092452,39.65806122253336,39.70872885272659,40.18546019122623,35.79423853210947,35.924490768371335,33.70386501904766,30.255567886009953,32.359396392543594,28.58861056866554,26.211211007183866,29.34870612746226,29.662297664100134,24.900500563319127,26.204710948046376,28.8562376643471,26.84553602090156,23.13391253017056,26.02679392056932,27.16867710831921,22.711996907141184,23.235126214713453,27.783323298275917,29.023332991683514,31.651744155962188,35.31930691103324,33.60010611042323,35.102849978188104,39.725684769704856,42.44504183794821,43.97109441533403,42.22281396560606,41.30163549337732,42.66843450808391,39.45117060422181,44.22783829501801,44.66698263621019,39.033330483432536,40.79726559752076,45.6524556962771,42.90419235008377,40.315700865450374,43.423231517320325,45.67243965612576,42.168458202147974,40.403307311249655,36.546392444838744,35.58654004828968,37.57105936811924,35.394721761006046,35.205237624826694,36.18357091662505,32.61677665645002,31.234873764081954,32.14365385770944,30.060875852396467,26.313380696824392,27.3906645268167,27.04174839717692,23.956874657631506,23.889066489204396,28.318100515847174,26.71175109436726,22.93598750947474,27.14593202814556,30.61190628461237,31.404922409827712,33.516433613982514,32.54642564773843,37.006585400820256,36.629356826618704,32.292568872168744,35.68007811336474,38.539740215465,36.27013867058922,35.4231914307692,41.16018222840216,41.49490093720711,37.33880642938007,39.3423064781206,44.126901038194134,43.42017218657507,40.30696646684264,36.273734842669235,41.23260877359449,38.22549397172321,37.09349737418415,32.46405798017225,30.050060990698874,25.372659288410123,28.22525652108152,29.67962754817061,33.47014807852451,32.71565901357518,31.82742909884249,27.048126764138125,28.21717407552421,23.950522740052538,21.48391647331091,21.446341342519045,22.038146908655918,18.599943858978445,17.447468719367926,18.731878219946907,16.448284294079468,12.907850412922166,14.706595213585983,16.42949217037627,13.811305654802464,13.863150060618732,14.566987897351064,16.563857740384645],[17.074497901826714,17.450505716081185,18.05814863203035,16.582490714044262,17.57292236687216,11.149508362913975,10.733297071721774,9.525679549742017,6.279525042297063,10.14587142080836,10.129104314713597,10.024261036436634,13.951868983506031,13.609076839260394,16.263134506482903,17.802506690749027,19.38489685898821,23.620969234652307,27.830161473863594,29.654283788376578,33.76713898557441,37.50388061661107,38.591906210618184,39.11109007334588,35.783176889636195,32.08294785794939,29.6434236839379,25.254517055050442,23.74873772076491,21.40064358174063,23.057898734478417,21.289814025876712,23.409626851999846,27.892872451931467,26.835781665983106,26.831969097961338,25.46994556987308,28.723977155334342,29.87544637604633,35.6362668582199,34.75027724008917,34.11679507477836,38.404237829408096,39.11843247303708,42.17825756955936,42.31193444954514,45.9561824604748,43.52595371037227,39.72389430008446,43.58888242525092,44.904382223971076,43.89641264521575,45.29074946432078,40.03335446102439,42.53449935507634,46.447652951914755,43.200710075139156,40.36118112190249,44.875746619105264,46.76954496883484,42.2008905075726,41.94535480511799,38.91473984158497,41.70777785983817,40.56318161222205,36.21278496577256,33.8345453604707,29.693293760722508,28.56937154929936,24.85727814532981,25.666402968722238,27.978396788787,28.004297816330137,32.024549312550946,29.647430369726493,35.33989402438118,34.45888593040981,35.84679962621792,35.41183551076421,37.47437145867116,34.898985857737415,35.896583136451326,33.701335892816246,35.220983855440835,32.938162321319304,30.34957587124577,32.204963888053015,30.654907062063813,31.202762252418978,31.93984893581023,30.074718955268942,32.54522284369091,28.538284578608504,25.390985265119,21.050626026324693,20.624709998231978,16.844616358300392,18.139078179914307,15.2088094429065,15.421750245439293,19.335691841481857,19.065448409973154,22.46308664175691,22.04756093186682,27.33841758828862,23.800774301644168,27.08106712678222,27.87271368409517,24.591900695741675,22.44515947046565,18.62995116520169,18.744857595093112,14.496367456286182,17.525364706124716,16.388801983512888,19.388544886514943,21.512320250744068,24.706885111076094,27.20376715552158,23.12970445516734,21.56095920755052,18.17055626282083,19.46817885086689,16.978249045024818,14.14829107156634,18.231037550142947,15.888105925310429,19.878784967027716,22.536677274801082,25.677164983072817,28.08605029091106,31.334900029312845,32.658102862179874,31.082625941685986,29.352553166009102,25.335266993899882,26.367982936650606,24.91751042523867,24.4320611883976,25.27640888763541,28.665572190063195,31.966164194440342,29.014502535301567,26.42224246685755,28.147199712703404,24.49262427503767,22.319282477815808,19.203820612280325,18.262826088188636,13.83633200851517,14.371165926900176,10.344860846246947,13.918429812133214,11.480931313447051,11.872290282111157,14.208285560153634,13.872931910637385,16.331557520209504,17.911279334741188,20.231134594760107,23.08573359705473,24.721752151027996,26.163569277468415,29.384550380613977,32.044623299959795,32.52887076352318,34.14199723622633,37.342210819390466,35.14426498048065,31.72555466437192,30.67906335459622,28.058184185413747,29.313606142334223,28.58552589623082,27.74100854286763,27.029523106537773,24.320442593217493,29.194525250988168,30.510072645362897,31.55295528464784,32.67565638096603,28.127371223576652,33.69770193351299,36.87545471180684,34.76197427397045,37.417443244365124,36.3194762359073,40.79555728724911,40.58320309261602,41.80251789327529,42.49760100753425,38.66999206139156,38.79666104984214,36.678453556851565,36.9032537278051,37.555487011718334,33.168262660142354,33.61287799954565,31.56688909967048,28.271351931100117,30.79812400929026,27.255529595331712,24.522154173631183,27.77287696798443,28.58795545018006,23.831818538961496,24.671981392191565,27.804882035039714,26.405459165539906,22.368048745541195,25.259429225158748,26.895280239898124,22.64431241052146,22.743214348923907,27.473023763382525,28.27862609110949,31.460591641942838,34.367613824241715,32.736568338271425,34.62472028963537,39.13481390017401,42.20245680318021,43.51021350480709,41.83927967491225,40.64438183688621,41.99344121168266,38.6146539155114,43.245124536728525,43.683828028434476,37.81713034629223,39.475723132617965,44.233586218803154,41.38322258835311,38.62399642087168,41.608250858498366,43.81914835237547,40.268753787151134,38.207734946599906,34.62945749248024,33.73922119617874,36.00720837024555,34.23906318167574,34.218105609060714,35.681019639546875,31.94861187170536,30.240063294410266,31.728711992331306,29.920623489405443,25.77919368722581,26.901741380646037,27.185803735822528,24.25310577429441,23.807233384527702,28.543394451706245,27.398241750965617,23.566526675161303,27.463577847281147,31.087286506476644,31.45614218692339,33.49319983129371,32.19437528369609,36.58129923421359,36.35281292732295,31.645980912336718,34.830309668376316,37.749506316164215,35.42217897672961,34.14698006086571,39.99728511577313,40.36569872883031,35.929188182154526,37.7083305348141,42.665805107192845,41.96687069035109,38.684774408023515,34.59510650832026,39.55861803054627,36.508118229705836,35.81477414891275,30.9744068317096,28.649140186374282,23.975859481008946,26.51383059713393,27.75575921893265,31.460011800876337,30.531735484490582,29.910480116001636,24.860496186309764,26.00854723661584,21.44573580984806,19.621498605297223,19.939264681664522,21.129416757274207,17.76794713036584,15.944514520352923,17.951453780613246,16.362946651178103,11.828007108815296,13.742318974425665,16.481385864592948,14.59942661011773,15.02618647119282,16.01154353242114,17.93444718185778],[13.431663314018264,13.400946213753222,13.64466509899837,13.04210950914067,13.910607061135668,7.316242659385194,8.234333712565778,7.495329099969821,6.718034822757224,11.37827687254538,12.70524108349231,12.498626798709465,15.412473678947661,15.80306134556281,19.004317065995476,19.963651342034844,20.98334048925878,25.56362537813659,29.673253610612292,31.14042698423313,35.342791998417134,38.89526625651572,39.89833510546217,40.24152410301204,36.66437251912734,33.24479688841068,30.43164154955088,26.142873645704043,25.014660965412087,22.65405631912905,25.527804414426598,23.061532821732374,25.68971565315136,30.202056567815642,28.590978918385986,28.46482058188888,26.45287200724985,29.546164411608732,30.268367820708427,35.717947375715966,34.90623332501237,35.02190490225004,39.199819974357226,39.66751613862826,42.855438325666434,42.72358455657621,46.26918154831274,43.865148731120435,39.72513272440289,43.240473942454734,44.740547374975975,43.46629031956292,45.184771188696615,40.00552430844017,42.62993750332338,46.80972658772677,43.81113166699304,41.11871549434216,45.69212026276364,47.67517156624089,43.43892375911665,43.60501903141958,40.79787952453654,43.79131928164446,42.30470187961819,37.848245983291854,35.93704986747281,31.917458914290073,31.022274083503397,27.678644442517353,28.51015273581679,31.186308397660614,31.17844441183693,34.86603529926063,32.3860914453336,38.0974387055595,36.63779181351638,38.123099889447005,37.19465059368752,38.80123974756571,35.8244370083689,36.25966324615492,33.662722344180146,34.74849041587654,32.635325668593616,30.51851687543599,32.99482146666367,31.603664833658705,32.76022206142684,33.9402867924582,32.48292325377691,35.422873756632065,31.55770646500743,28.388434424284334,23.99324255666098,24.133291623530422,20.305973334076604,20.843193267999176,17.486630072650456,17.065646560065908,20.57067585247094,18.925136329795972,22.504396199663898,20.868904331211287,25.73610818657853,21.61857109456225,24.37725950711126,24.806076790992382,21.13019551105026,19.393064110062983,15.365198449846412,16.49612160373237,12.725666334647475,16.277786531630824,16.541169879809424,19.400158665152407,22.22287776776995,25.209505175602807,28.584902066736213,24.803486906139224,23.20913913061543,19.632576677924586,20.0542809705898,16.98095092225531,13.414311812015617,16.525543253490458,12.918994564956455,17.15828453035596,19.419243959086963,22.974600982963658,24.84937832436433,28.094883695750067,29.81678747068695,28.55521547873414,26.85472525608191,23.087467459993366,23.540598472568735,22.915126606427265,23.035493238871233,24.327433722425603,28.198315306692344,31.830183238109495,29.27294696354733,26.327181459614604,28.116367571833216,24.74028923812156,22.244523402454337,19.120496588678023,17.458603472925894,13.117839980213832,12.677124718060496,9.616681259625944,12.954016116368248,11.26590837130998,13.02204726047067,14.671093791947664,14.4332193103886,15.65631470459552,18.02514021526741,18.966401827270065,21.825707502968708,24.436801918901242,25.435065808396434,28.82094347571875,30.877416244138214,31.20014936371868,32.260454489588376,35.3591028825569,32.76026979849658,29.640188113857548,28.474326242044864,26.324877195908243,27.77153392239524,27.270784507822167,26.859911927819606,26.177509422144432,24.222522656206994,28.940234235663375,30.01205645232377,30.615646528143802,31.457209055895074,26.369418701068764,31.695771740037994,34.83540418511363,32.92365597598542,36.186930192770575,35.65005194700683,40.000181067681694,39.76228774213352,40.47907553705861,40.830325138639544,36.94836212658327,36.562488122499175,34.136194479385786,34.0438244132021,34.30769742010987,29.78600101357116,29.926725379118178,27.567546633441115,24.33306974518627,26.52746005460939,23.037551253583224,20.317455118849544,23.320571660278215,24.042058151853315,19.254273464600477,20.139788226839418,23.144622239509662,21.779520329653206,17.70627808913203,20.65851940328806,22.31607972224926,18.15655661168682,18.38707280521747,23.121535239284626,23.835570179623975,26.96755075722163,29.849738146381213,28.096709560687763,29.973390073031368,34.456361714697096,37.57099998293215,38.845729702562586,37.24767301133802,36.09330722956579,37.56543294230827,34.33189413875543,38.979109097489946,39.23384464702697,33.38443410900463,35.241114582853534,39.92514966955086,36.98943180975279,34.37751255756634,37.54208876301177,39.58016552853434,35.998669325277234,34.29139184170887,30.438680348256742,29.849913227260082,32.00518514495527,30.055062944739433,30.308439848850213,31.777359092855264,28.315473121583487,26.27503051768122,27.59001837761308,26.12707262505819,21.873926987270778,22.581391618664615,23.059617276932517,20.207190150096434,19.37765571367241,24.196391617183846,23.29323607919141,19.37237780161839,23.041728619925763,26.734895124482538,26.921546148354405,29.00614875371342,27.73760774825002,32.1018607698484,31.757042556883206,26.994158060743402,30.265865556823382,33.10275386592959,30.7483054225272,29.56376927669563,35.4088630984801,35.73076872913989,31.369159222492943,33.2485421963482,38.13046881091542,37.44329177562085,34.243381396164665,30.231710615760925,35.262682276108606,32.37847629110921,31.487471521475754,26.78223997561863,24.21558343882012,19.618120313007704,22.523595964510523,23.675132935422038,27.40605693859142,26.480171622163137,25.590690363569603,20.736637995670435,22.024334332595025,17.752771697357,15.290681176372132,15.850211807832197,16.88093565312399,13.994933068059467,11.707612387301088,13.347335531749982,12.117426699029881,7.592195007293852,9.095426085902865,12.064266191861625,10.770333866418774,11.633537791820546,13.067548771487953,15.077054436358544],[13.806283306327853,13.057060145206515,12.76034226085244,10.648155593905607,11.467329977665058,5.2069948139440205,5.484391939764595,6.723017910825046,5.422789229298007,9.315971242659435,11.487168335010123,12.446404931155962,14.051588605303941,13.867751713252332,17.84623705369086,18.884826446927267,19.069516593720188,23.747231174134832,27.418193624477546,29.10617672328418,33.1790722723136,36.85540397675477,37.58360059424293,37.644372687365646,34.12931452526429,30.66703233178846,27.967405659015213,23.73583292457864,23.155844193523276,21.363415905231715,24.610767639144424,22.62610896074658,25.714874370658734,29.94073838912758,27.98927121899399,27.289062447747483,25.509172231638203,27.857220869585543,28.264998127289594,33.878187547818236,32.661782636971964,32.86602947429887,37.12857862949883,37.29193435301861,40.29621899437182,39.922822301226205,43.54405192696282,41.4004441017687,37.07717082513211,40.578493457343086,42.39649038361757,41.2801717802387,43.18083376481991,37.95478683713427,41.00537407239245,45.02653965962411,41.84205862217812,39.51256109184377,44.21559257477033,45.85250582909453,41.655907530173366,42.14679958814792,39.574189376114916,42.277254640662484,40.535657304554746,36.206502700270704,34.07877657588855,30.28512251425408,29.050483483180543,26.014581317109464,26.558256301646228,29.358886447301984,29.691677255300643,33.20934915634019,31.111225592233396,37.091055720753076,35.458918633544634,37.374975017162825,36.2846791839338,37.67825197004653,34.902435204489784,35.0181883005084,32.729299701791334,33.426959265712696,30.957212527219337,29.138295499275046,31.547459246438837,30.750295597641454,31.561414083976562,33.37977153886434,31.70143416726437,34.807740483109754,31.057032173549697,28.18254681436268,23.576067475101333,23.996379451468794,19.881725193556363,20.993269571852817,17.844772760950402,18.46335913648557,20.961046182966257,19.659006719438878,22.428171092159545,20.848991304255268,25.215464487865912,20.95920011766524,23.962998277166566,23.922478600787223,20.260574522333492,18.954229611851797,14.445456190998568,14.910160927986185,10.74948173756763,13.65679971404681,13.913826034448594,16.341678258081032,19.438012922143802,22.07090300963644,25.80212238448241,22.37105640024112,20.487253716474015,16.880884048489417,16.739195805635564,13.627309719988089,10.040216305316278,13.390880073636174,10.617838284595951,14.914789086297551,17.640392085007072,21.489737042141595,23.02212483179801,26.656283951259084,27.94671700002893,27.08665952037935,24.716844837519687,20.691500985716306,20.879837916222183,19.869825466696625,19.680583328019353,21.191687779303994,24.80255319054595,28.624243051093494,26.297371099926103,23.40298768300283,25.529811897740593,22.47601033134672,19.759864938437723,17.147981878523773,15.858116724628692,11.788608736440192,12.422162693897965,10.393233632823955,14.653639961271727,14.096667971390357,15.083875669669455,15.960363038760029,14.718646513834058,15.815658228776911,17.445122418953645,18.08729972503812,20.03388567927827,22.61954648605025,22.908140076848987,26.620704109765747,28.418309950877475,28.259059126460315,29.577415969972506,32.468255470317835,29.90938969219521,26.616635377725753,25.72345129924345,23.54228489691526,25.471194415115228,25.36986213007184,25.30629049601185,25.189256177828575,23.26711375248703,28.3625019890546,28.829381862534838,29.60292001904454,29.846534291387186,25.05538231175292,30.19050351558755,33.12515909567006,30.93705346598054,34.16628641870637,33.530662186059196,37.87883407405462,37.16945457993759,38.04141552506495,38.283812407167254,34.56578307926032,34.18955223479634,31.857301950896243,31.988157283703394,32.40883582410803,27.825043125673446,28.40942794530719,26.15990410939324,23.299332928928706,25.939027783219,22.89333773943219,19.677090388465228,22.547882008662153,23.964217612734117,19.26274139321578,19.198751535015784,22.827849292176698,22.38221137043562,17.775117341089963,20.49216101378031,22.757544091650228,18.952182085322487,18.395980627364892,23.21429849939276,23.436912820467356,27.27545735903912,29.19881094168394,27.74720906683353,30.096487232591336,34.4990304759087,37.92878568114371,39.06493175063096,37.72695028150793,36.35644432752305,37.9068453499283,34.618668146031695,39.05536422178314,39.17867346800427,33.08910790446125,34.933520397174,39.391775202981975,36.239521057438814,33.51278043758637,36.591730926714106,38.400172608823226,34.6978150417104,32.79455933595325,29.253893021727336,29.017813110941205,31.521643188673607,30.05678587432819,30.64377839088047,32.64164291449667,29.14064153192975,26.64288419271401,28.51519177300551,27.49320294133211,22.898577598208412,23.437752397626124,24.612279082961642,22.002910305613725,20.626215221434837,25.617417007238306,25.199620886594385,21.20810677637498,24.35366739000823,28.179124183614203,27.906297651107124,30.01830834091498,28.52296624229915,32.72839440114071,32.37992741053794,27.233157077610123,30.358896308331772,33.09839694543204,30.59850090445415,29.00718266801043,34.96804981931311,35.146218871820544,30.438861342452974,32.18174642919823,37.19832972644196,36.365204417747236,32.93760381970332,28.781804542732772,33.71423052490649,30.65957810306926,30.31207412521981,25.340765980149143,23.09757019671808,18.494522474908994,20.779565185307185,21.802170629273807,25.43480126476459,24.452237290038692,24.092155592898624,18.99775437329536,20.515539285254704,15.851528602988536,14.263548772024029,15.733584993080635,17.48330952155399,15.059666628372938,11.716452926737311,13.973901643511672,13.87852674059879,8.728627122537171,9.46042544817297,13.535307828024138,13.232006468469592,14.35459483383224,15.84574186019914,17.74630862973235],[15.760721263149648,14.343667903424738,13.357573968213035,9.620698842411644,9.9254521005357,5.637275883353978,4.220610073571291,7.595029183983727,6.142646687191119,7.931519699818562,10.961603135391318,13.068053892018874,13.01513313897389,12.208423067013946,16.888181017913563,17.921147073198703,17.10054571546203,21.77096851632691,24.876228265022238,26.7651114208539,30.651630198292487,34.42233655467167,34.847933089660636,34.60349879991052,31.171402789934838,27.697494950440777,25.142670588247764,21.038739391413202,21.11556654129121,20.030149382392732,23.649449507783075,22.223127546504752,25.74138244375935,29.569272708517232,27.26747013817689,25.942885183258685,24.454099703123482,25.912893618489758,25.96048723363088,31.697910510538193,30.040045016098347,30.33346733382783,34.65197582419877,34.48300066077496,37.27324722099059,36.648689595979256,40.33744315779089,38.4765055001318,33.98614209891262,37.47220965560723,39.61204250344439,38.683891261475836,40.75639738135788,35.509764843730494,39.00302144611434,42.81555786567953,39.44453231828939,37.52628549903273,42.33510430441359,43.58609657820924,39.46107545377018,40.30636864280108,38.015323840853455,40.39041258052853,38.37554371363162,34.21869240213493,31.899448066826753,28.40704252755393,26.844085346796998,24.234835515783935,24.469062261617026,27.41183599117031,28.076383717255666,31.319813603200735,29.64651181626076,35.83787207978156,34.00335123704491,36.36807319277801,35.09840290775817,36.237255769373476,33.71280178440918,33.483925928112605,31.578092411399965,31.85413194473044,29.006020175614076,27.532535304899476,29.81974364197773,29.69443379557041,30.115094245646624,32.617591319449204,30.7402495832154,34.009889966668744,30.44991963040796,27.944171804298144,23.221469407017914,23.981666393655907,19.702305201760122,21.315551066927537,18.499141941518698,20.12321162588605,21.49670838816991,20.620297089415107,22.432552004239668,21.02551851000142,24.75308740868006,20.52261345734256,23.77367599924255,23.27545435453666,19.818089527680467,18.954193674271718,14.20540725501604,13.69613455761543,9.33440607164741,11.058077400495476,11.227367608358927,12.992698201376493,16.374068218009764,18.549463217594916,22.677023127684148,19.711419880803966,17.545307075203876,13.985057347564007,13.103578713411125,9.958827822135603,6.448639173475183,10.151162178408129,9.006825130327591,12.9721369480591,16.207341379660832,20.177019137136732,21.38826055090223,25.371234496766597,26.08700237064544,25.635734524783274,22.551072147387615,18.26749853780902,18.26932917688544,16.65801751108186,16.020894159487057,17.71890271622418,20.9917064179106,24.98470249531262,22.91367019190292,20.10955893724443,22.60189062218526,19.96968719437803,17.054653938430985,15.164639170831977,14.431210630201194,11.007914716752323,12.869047303148218,12.020318712212607,16.799020741677623,17.23481800690255,17.508391707444897,17.620190523340867,15.453726471709125,16.381718999179306,17.091408972455397,17.43046281256344,18.23272824618123,20.655371459196868,20.119152154877792,24.146949099018393,25.668383790830813,24.987431156626837,26.646048778646126,29.310509540079693,26.880810308972595,23.37470683395138,22.805209031772602,20.54068945610171,22.977020568757126,23.316911618417095,23.621617446045224,24.148956221654334,22.27466998146783,27.682295317899605,27.47794087237376,28.454893399751583,28.04479916775439,23.72373093393318,28.57937730033278,31.25428606256509,28.75950383860488,31.857110770747305,31.07638942442463,35.397091965312136,34.17995957964585,35.255423058228345,35.41480895136931,31.903299783236307,31.608061375569015,29.447920439237915,29.876571867796272,30.542867301435603,25.98914275673633,27.116028502616313,25.126360385005874,22.705708651057847,25.857816127862986,23.33432277794449,19.70694688295237,22.457950440081053,24.58691656812317,20.1448577356427,19.176572317361575,23.36719194886572,23.83990508952361,18.96933695617546,21.392822626914903,24.19925850322756,20.8666967087736,19.656435248896898,24.39736463085397,24.071713596073838,28.52865420237669,29.38198066209468,28.21928238200282,31.020889039569447,35.223420201104,38.97377540499223,39.89285005029099,38.76706065065514,37.13467311474059,38.68871579614929,35.31985223322274,39.4762039871811,39.53052024748507,33.25172339007734,34.98090491751904,39.17990404429082,35.87640386389737,33.00319129628407,35.89138616637996,37.51295551567517,33.751663678227,31.530038010120037,28.46435270738642,28.496893328541436,31.3586699751173,30.485074638340112,31.340458015569833,33.87553068237727,30.316888129154492,27.458015394782034,29.938038475842742,29.3041935662163,24.4635503958985,24.946210019720432,26.77481062789486,24.44408543440553,22.68480821839389,27.74168152121081,27.79151302462342,23.872569993968156,26.513228679271187,30.37631457443761,29.65926880203208,31.691886450189294,29.92538863708297,33.908346397856214,33.655218362650004,28.20395095201029,31.040429889329985,33.70433113818376,31.13608871482942,29.064629086121695,35.049392428156914,35.15682302448071,30.13914230688445,31.611797316456776,36.74880060044107,35.83658632046954,32.20033433577173,27.98351055439618,32.754670814872135,29.59537386331257,29.916457894421537,24.746226445342444,22.870662901810263,18.467098138193574,19.96429781061966,20.709844856112717,24.103014958292967,22.979639177633018,23.217329174180875,17.922718611711442,19.528048228476827,14.538351693102452,14.262153609961358,16.453906382850803,18.886328757923135,16.90252730482532,12.912612622280268,15.750663778890553,16.56456525234737,11.231644249666108,11.559334084990944,16.19735071198056,16.607055990499106,17.863192268562877,19.341545552286743,21.08545091180289],[12.052876845005827,10.413417562026398,10.205118833911477,5.502427133061254,8.752608058267136,5.8686224523179,7.688700885337047,11.588285153915262,10.983270231744804,13.08957556568992,15.986372865898577,18.08182022195098,18.203951178173483,17.092760937302334,21.93495276126735,23.089104823413827,21.97706079354991,26.576208614268722,29.236016825492488,31.300353077480636,35.00451834679214,38.809361032905976,38.95294324287096,38.352900245312895,35.018345856470226,31.61782736138938,29.198830861406005,25.31479080453263,25.88309293908355,25.06227254483034,28.787539285679102,27.413433136638115,30.94162314178753,34.78167721665529,32.42084193123678,30.972615983967657,29.423510833380487,30.553127630076347,30.254464043548367,35.822474694328164,33.93890346998132,34.58883326949107,38.86514279615151,38.33642687278305,40.9203574172096,39.88831474098768,43.57904384124566,42.07994041660518,37.28991464997577,40.48208852164131,43.05437824604268,42.114899330585516,44.510556264820444,39.35410216904358,43.13966356178733,46.946919103864836,43.597709742826865,41.99563142397526,46.841883247467834,47.90351508050402,43.947155593427645,45.064424252372895,42.93575318296722,45.14956063957507,42.965749796256716,38.92922199211261,36.49344656827295,33.20286344070116,31.324812657583763,28.891271314879567,28.794687720580615,31.560816613076568,32.663471263181236,35.90642369490586,34.5564506953007,40.83470206354471,38.99009810526485,41.488515008686875,40.14196832558734,41.11468144563583,38.55722959220373,38.007939113069156,36.019409737742556,35.91046018465857,33.06350115365484,32.01414882937433,34.490032565561506,34.60418050631461,35.07577569099608,37.7764822055187,35.87745287644903,39.12628860902643,35.56865634244091,33.10006838377894,28.3662748600132,28.9656754961044,24.648989616737428,26.452619331983882,23.570714689379894,24.766276125924552,26.488021165261053,25.06616923472987,27.106453014914564,25.026584236561686,28.317672456750913,23.65084613339515,26.249840016487234,25.13150823721904,21.17689148172997,21.163804724817457,16.21755622435568,16.798548678949704,13.192187155354313,14.691857852551356,15.695966575206258,16.665316896689692,20.392377336425525,21.790308240892237,26.424611489288374,24.02854547427129,21.504321288189676,18.12149389073437,16.225956208942694,13.32547085851752,10.143253758853827,12.58660016078832,10.916497370112186,14.907588951201392,17.693341225401586,22.351162647416587,22.31253613081558,26.53067867560276,27.50754783777901,27.84972264122066,24.34913467902723,20.341652062513678,18.87417932836427,18.109780616334064,17.626768263615723,20.231701217042463,23.089861419421005,27.571870380903263,26.198373898342354,23.447411261674578,26.298524740266167,24.214147919268836,21.108369451887608,19.690633829611098,18.748234315408,15.644024381410816,16.787849423984255,16.215135193276964,20.48447475436238,20.411644166348598,21.603594743387188,22.0506669606692,20.277882969101352,20.759084058056015,21.908710835982284,21.446342675244168,21.910549678049314,24.895960024494354,23.553084862983187,27.82881103786043,28.57431008287105,27.103281634561114,28.45524093876583,30.5502708371896,27.621309819993794,24.37312340397544,24.186537071630163,22.64074757421955,25.782717874113203,26.65617925376608,27.497718566251052,28.22530380020376,26.855086547749988,32.12905499602327,31.65791807158415,32.36566623265246,31.499502168812977,26.95634042147814,31.319168886594543,33.75442164406124,31.336534621457716,34.93561927938565,34.549091115025334,38.68169016246753,36.99809603165525,37.78124775714708,37.444916177538495,34.1467097971614,33.22853129313227,30.787030163996242,30.962160476810386,31.086268301419313,26.277332740694284,27.242043848746174,24.596928309155974,22.822293065737586,25.32002390036907,23.268260240195804,19.543372981438107,21.137929090194575,23.37375723798245,18.994171314408803,16.85589650768811,21.049890285572225,22.104361988283628,16.460646833922375,18.237740684293396,21.24641493477631,18.133484772283367,15.958162535073969,20.548348138380657,20.216454040811108,25.047629646935857,25.677053625946083,25.105648599537776,28.04035592148676,32.52962438869697,36.11756543504901,37.4158801579551,36.926621509717336,35.65283617733863,37.68240199899608,34.83657563038851,38.95451391956881,38.40408284893899,32.19348629436226,34.511916535804716,38.31882036275573,34.59594293717467,32.16908957875632,35.4525117930476,36.2928058835628,32.26869053299797,30.986872208215118,27.537713880418888,28.724359062131253,31.464969628294366,30.337854772840796,31.83480075402844,34.251661481243175,31.307677363107086,27.93979809768491,29.85723832500967,29.831727059007125,25.093023084898576,24.56977179352555,26.438268691122133,24.219972285629275,21.711757347996933,26.545121564866907,26.696986887757376,22.408002442210364,24.468402984752746,28.445933508841534,27.60119469162583,30.142934745940938,28.871743348607435,32.720499339547274,31.74923695754303,26.262603755710273,29.61575941170523,31.677860506740913,28.748666404090567,27.140822755986115,33.13987562355434,32.54065617890914,27.48284040026358,29.59548906741604,34.43406203968106,32.94520673197392,29.248509254530983,24.746053616714427,29.24420617957212,25.71242833498438,25.894317198403755,20.649802811583086,19.356788851389837,14.769825801082156,15.766563059772862,17.120208852614972,20.665398884645533,20.2503164482629,20.98621556637029,16.374502261996625,19.060782797272406,14.603357204802897,13.472872905160516,17.084332221092918,19.106708067563133,18.225407034277545,13.548869459940356,14.923770839118022,16.55072204781961,12.344885856321566,10.12495849723657,14.660628358417116,15.826408041037478,17.25740769215694,18.6972509500795,20.54971342454032],[17.04672376623362,14.924687357539979,13.915769906666398,7.940259860337637,9.880292487734637,10.445637200133971,10.519593126297266,15.004873729941277,14.177065259262568,14.295737269433655,17.4849229523351,20.521171053864837,19.047397223567273,17.199549894513275,22.407988475371166,23.55447242542825,21.241785151598688,25.455408686484006,27.05440122423594,29.4177627109096,32.65143251270652,36.52297921317186,36.1440466283998,35.018890688202305,31.966540466119294,28.64474740518136,26.645410933079656,23.217735107288966,24.787425021472828,25.015832968688482,28.91888724931172,28.371542033778898,32.2488585221877,35.49302211712463,32.802593123458344,30.58382559981008,29.538966572221188,29.38190777213306,28.557070173997655,34.11221838177004,31.564776552521717,32.311358891484,36.552043905531015,35.48234136701031,37.603700169315225,36.128386639155806,39.87456409648669,38.93227570105851,33.96247251936938,37.03408992532191,40.13614458455953,39.53938127552905,42.17410741383407,37.10402311291686,41.503111906113446,44.90167302899784,41.30759297586203,40.38874788699073,45.29372101020328,45.72621008149505,41.93692411312282,43.54739720258458,41.86444585252174,43.51194887729992,40.9833227704421,37.33128284600237,34.60234620820506,31.883295120556408,29.503383925181033,27.78786911858625,27.171095076265278,29.94244428481237,31.581116412408864,34.362005630635416,33.73296548226605,40.14624453630239,38.13073599281763,41.199412040668555,39.68159192255049,40.30655415981478,38.19539091485086,37.197129812617916,35.8195527530592,35.12189955721512,31.81379088204546,31.30700332473175,33.488066786578315,34.53595147302095,34.406156627280836,37.93467109242804,35.772957499500436,39.10331820564416,35.870723759586525,33.9481971515267,29.22796246161355,30.145998640467305,25.8071817561605,28.198885156493745,25.808727747627582,28.030331374980413,28.58475348815294,27.746457840959593,28.66793530408653,26.922389409760548,29.325889269872423,24.90944193752498,27.686659039253854,26.00259707532604,22.52357305994076,23.09282036838442,18.237336307612797,17.628287885384957,14.397202625460483,13.99994035238145,14.794463616754937,14.281533584048233,18.054676735966662,18.2829897849882,23.344681683300493,21.9785002453114,19.096018985425072,16.235295785053193,13.00230083866291,10.832731633540051,9.1488466203673,10.866011925678064,12.093784490143543,14.820841831903588,17.951978388826102,22.470893566198935,21.795299498531826,26.356334403194225,26.414699593589884,27.46132546927203,22.97050633008069,18.868645826314683,16.84620240948024,15.199450874447319,13.816847320367684,16.89890749319882,18.655041126684136,23.4034422640491,22.722740264901816,20.36546999216183,23.74462902985961,22.558236840809403,19.39126645996919,19.26347342688936,19.163233511497587,17.162807961960226,19.419267699745355,19.793609000117616,24.458485790833276,25.223006171108658,25.66014226581188,25.441434807279837,22.841709955498914,23.21995176806882,23.300592656401786,22.567169846060313,21.488996850258946,24.041154610685126,21.419554687418085,25.97634307532444,26.144635120569973,23.65628490088406,25.538927637569596,27.027966097673207,24.33770741897898,20.849283416964408,21.406618407059515,19.957715218830682,23.922672136295265,25.51167813358079,26.887911959933035,28.47979796044142,27.22111386122934,32.692439047467644,31.34102765890855,32.31080401848203,30.52127676647639,26.8537797380639,30.589254924523146,32.52261774488161,29.70752312446504,33.01172506864586,32.423871213937275,36.382322802700884,33.83685988198833,34.92422540225844,34.39919349104902,31.57180753936927,30.74236544447787,28.63654553247833,29.275902912934754,29.729075484500456,25.11811569373701,26.910752739490917,24.71749652141125,23.77411044751045,26.83991821173259,25.614852844860124,21.557676797106495,22.812161647986333,25.927048854559125,22.13105431794137,18.87395741532592,23.56737213632435,25.787051894573633,20.172240067033723,21.402484376161166,24.939714412320495,22.587524863520034,19.758657043901383,23.886050167554803,22.801620989752973,28.276331142087606,27.29398247612222,27.254952915286058,30.73141359940005,34.816523384216225,38.75332360882863,39.74923172262872,39.60284241114502,38.00965349784556,40.02159032987117,37.14124440692018,40.78794555407806,40.121202277146814,33.78810557554106,35.914649710057105,39.23211697475956,35.333353523457674,32.78767762444167,35.724629624815435,36.17894610095181,32.13036060297987,30.48352289892369,27.87012502276111,29.52129968877942,32.68016274931702,32.39721107562292,34.22121673111074,37.27254975639118,34.30672917972961,30.58540644968537,33.212766626950284,33.63077131894159,28.71913139520884,28.188845722470163,30.752946846723624,28.88189405044929,26.08853334480261,30.850374673615743,31.51779132599774,27.43863316527144,28.899026407944206,32.80011355297695,31.440344102652826,33.813942382296815,32.236418116040184,35.696897482532655,34.857985971407004,29.137491955924787,31.999556401208245,33.864136804047256,30.90615474470202,28.689595185651086,34.52991035902964,33.77515759728922,28.39570337848906,30.07857284355972,34.93467010350998,33.28316218335798,29.342043733679883,24.85912876991314,28.85444356760279,25.176696318921277,26.504406340138175,21.171265892806915,20.705283325896417,16.844222808989965,16.246325696517946,17.094629246131884,19.964995439441218,19.470510154468663,21.33206443931898,16.863502445691253,19.608232786466797,15.19147987104603,15.999972142861404,20.13381026016959,22.81314585059884,22.33244945747796,17.389190288202162,19.352514833393187,21.657895757831383,17.28206490419464,15.345042805067187,20.023426539415986,21.610634913290205,23.02416001274294,24.355898621648507,25.982495967274055],[14.554807377727943,12.839565812144329,13.106251006374317,7.36438020322447,11.646790570223075,11.636938429756531,13.06399192358593,17.373137167777582,16.41359229918554,17.383352907583088,20.257927035512186,23.109370848987655,22.480826529888514,20.473479710267874,25.631990985247384,27.04317070002183,25.107743465267585,29.352450794119285,31.03894000074443,33.57679888814392,36.80882513770947,40.761986406055364,40.36919361187653,39.202081822582706,36.24282081120047,32.837035705857154,30.947028443801454,27.46454857798319,28.876648029619094,28.89896358791455,32.488858744874854,31.89422095176625,35.56402894016447,39.03263260306681,36.558222439775,34.53697538958247,33.46927821638852,33.60644672054982,32.878679218820096,38.446881323593715,35.936766998699504,36.627000803802154,40.89673906457453,39.825599416915445,41.88018876797099,40.3320653861068,44.09003726171727,43.25423363961792,38.25592072548518,41.26203268586345,44.45567835448067,43.84081310773674,46.519730983437746,41.46217971260568,45.83173574039298,49.266742366636265,45.67304275355336,44.712333719087646,49.61501940933718,50.07298633768236,46.23045876597278,47.7377004151262,45.94847371283163,47.58295992861993,45.155858208749095,41.5018457092873,38.59672182333988,35.78847524280608,33.23763626168681,31.284246109254283,30.568466655330884,33.0698187149387,34.9116236217186,37.961951259851055,37.39294770231006,43.85174064597299,42.07585115339631,45.04120752737923,43.68280002916227,44.46186191159397,42.30085558545605,41.41728619453422,39.892465096212966,39.280368846198805,36.067527614537674,35.492209852495215,37.71107857418509,38.551264559282544,38.462659378532635,41.73235867130531,39.49450317068831,42.64654467543953,39.25385744859038,37.185543398297035,32.432136424880554,32.99141048956685,28.612411211155305,31.17403924257608,28.65257560275737,30.442946164747173,31.723930470112737,30.664139093332263,32.13078471554327,30.15743818801993,32.80472112432534,28.159145740907107,30.62480837071312,28.882362102537364,25.04208900343545,25.760594367024446,20.834671831916395,21.035379145117176,17.79701890771116,18.025628897339512,18.848378807708684,18.573949767680478,22.263953090262827,22.475279073438006,27.355179828895853,25.92677834407556,22.910313411532705,20.03045134486035,17.0225442542606,15.010190281444029,13.114805347954684,14.96425275954159,15.066471765244525,18.191312392342276,20.966082382927738,25.766082273358908,24.691342939226,29.2138226581855,29.66253533385563,30.88942485327842,26.521224140480307,22.623663088830934,20.065653762407266,19.083461093425427,17.92735095073471,21.17973804246703,22.749769031804163,27.55472290062921,27.008003290370862,24.717340539696462,28.11447845385068,26.854618949585014,23.69060486617605,23.316529327898117,22.96576895768986,20.537406513156316,22.25768867078671,22.109786426383963,26.528797900416457,26.527444780944283,27.53948872837228,27.887403247252422,25.74303012251693,26.22304139200695,26.79260983588596,26.094647360747214,25.460243365314565,28.222820157233556,25.729579489697716,30.27718659864292,30.339801307924553,27.716169822012297,29.377315382923047,30.63395828614425,27.676763723313833,24.442573079162397,25.08036787759027,23.96837215893636,27.99363885194347,29.5823923868595,30.959787843352323,32.34483396110244,31.113244421463307,36.53064024326873,35.39978764811255,36.23860054843589,34.57377860325834,30.59841863125372,34.32140599210716,36.27438185379637,33.60112037273145,37.14149948599237,36.707435687688445,40.625587942029235,38.03239210570527,38.98269330997993,38.26621271923138,35.49410305332626,34.355204685631605,32.0590656800671,32.44945590576704,32.497451080751304,27.747739083585902,29.195047131022125,26.483019606107447,25.73111274117789,28.137733912223695,26.951812176380805,23.04452887639231,23.60475777094656,26.421290682997604,22.56567046019674,18.919822959063136,23.272913727665472,25.46105683102986,19.435460118192807,20.19677032109732,23.57656427864068,21.190062809095068,17.801018679584995,21.714464484067584,20.949968235297412,26.436085892121405,25.784770257144682,26.22680323578632,29.56869477598064,33.99912637428965,37.591598566111976,39.046434572028076,39.32814017216547,38.162319334856676,40.52116348030322,38.05698412988523,41.809954930053756,40.747974159925995,34.58002398465292,37.16612293650961,40.323513823218505,36.20177196867213,34.06014417778773,37.34221808841257,37.317597791610496,33.12120149259652,32.30492709767523,29.23609841795217,31.50312737258132,34.412278405323285,33.68097681210371,35.761219513426944,38.46060538807885,35.88114810057144,32.05559562746127,34.02296808173706,34.60006152230634,29.882034550341185,28.77917117587952,30.997339740674825,29.049826491447913,25.99251121465646,30.514191142228732,30.965767684416722,26.59317904815821,27.882595721690063,31.821306081610548,30.63523943411176,33.45106833218484,32.403971071354775,35.870464956782534,34.42667604921217,28.87799022405911,32.27324310863755,33.69192040864962,30.482990333232664,28.904018000203887,34.70588922832116,33.38386713435388,28.1499902488505,30.49340651370603,35.01039424185105,32.87771619905652,28.993170795494503,24.292447955118394,28.01061409914092,23.96005232157348,24.87752368612926,19.582291665760753,19.67703256999692,15.621537944724944,14.68389532814409,16.378582764234707,19.43545308672547,19.75254500531375,21.797790931844492,18.03778501695353,21.423655284227703,17.472986099364146,17.14058248730743,21.698549195955533,23.828881069146274,23.684335949957664,18.695559256059326,19.57193415443523,21.875922564807965,18.2100259838429,15.082524187303807,19.242591813222344,20.865084676209037,22.231072530700086,23.408403526863058,25.1327331602338],[16.45322867692506,14.776952659641983,15.273539120536451,9.915783751107655,14.253190904546068,15.225804924648415,16.75047911398015,21.13998451022741,20.232929603311092,20.947928684659118,23.79566477510571,26.824068893109587,25.95801996211154,23.716885867335204,28.91873048388279,30.38477234738969,28.13546175112448,32.1867376153439,33.40013710341355,36.088150878947935,39.059983081789014,43.02148010405958,42.352527013300644,40.88517748757326,38.13137379048917,34.81344539105355,33.174643120866655,29.96264515040812,31.75651632922466,32.11807973628722,35.69711900864458,35.361721760372596,39.08929345442539,42.40507741598578,39.863649379946914,37.61722732611266,36.699093927698364,36.4013497955632,35.43919561316291,40.893088487799446,38.120578083611214,38.9212389881394,43.12250836463736,41.75871029487731,43.529256881342135,41.68344631663382,45.416212866740295,44.951821112443966,39.85380958221819,42.661048868914705,46.18139872209147,45.69721433143532,48.54960636217756,43.60414668007957,48.237758778591314,51.501606999927866,47.85046096220264,47.230443743195174,52.13265939328896,52.302144153205866,48.585250638599234,50.315856434421,48.71993833158451,50.0884833065533,47.52796016653325,44.07755794985253,41.020068951385426,38.476880509390384,35.662453503648,33.97492097185868,32.98731300719278,35.33662327165021,37.50575422740225,40.42082579444432,40.21076772507536,46.70381926186685,44.93213063954729,48.09310639875177,46.69728478009314,47.34153740527781,45.328567656146696,44.23633155065529,42.877165271578185,41.985690741774434,38.66626023042122,38.37509599166064,40.530370760924754,41.69548008327465,41.42657344515244,44.952792476851066,42.61440166346084,45.73337839123324,42.43343238754917,40.53300836582743,35.797525544976224,36.346289888502646,31.974293188324477,34.76569916765371,32.35244332732337,34.26868277567493,35.413341693499696,34.36897016933089,35.651875341474806,33.59784941234454,35.89926465999769,31.23673786402248,33.50792099095559,31.43463750068197,27.638010753834138,28.759123031680577,23.916629518200423,24.14221815510763,21.203771827234995,21.02772294468043,21.92400799614653,21.14297279733137,24.755436284329463,24.369423697733726,29.324999286552767,28.420106135718086,25.257935363927977,22.684198080473617,19.24135510137555,17.679912054832553,16.301106898301914,17.65070008516531,18.201613665092054,20.897560950499113,23.47856968860603,28.30641329387212,26.620852047582424,31.19343715932989,31.46005161777917,33.18427315382647,28.48217560547086,24.808224499702487,21.63493065989313,20.801414864836,19.492724191398935,23.02212335682517,23.925054753384146,28.808395554231193,28.78473541075216,26.740981437827358,30.323676090335862,29.511972005867438,26.358521502926216,26.42280409663428,26.223980677815998,24.091087868744438,25.868018289496902,25.919726620855634,30.305243007524734,30.313953661909736,31.387539986017426,31.710178744404367,29.4936003849212,29.877868672250525,30.322345320570218,29.399691737578415,28.332675953400408,31.08462451687849,28.062485030946053,32.664611140357955,32.286413709637955,29.08294185450538,30.74890692055018,31.474054550333012,28.465856587125362,25.417846203971195,26.47300995588687,25.740672713832005,30.143038347469165,32.08325281790513,33.7509235065623,35.40447038620259,34.34021177412274,39.74408934841189,38.31142849076024,39.134590989106556,37.08003044969326,33.33270725717301,36.65197926171794,38.32905952775766,35.60917121309863,39.18502670807322,38.83165534421858,42.569294716421744,39.526499949569796,40.45587329747172,39.466750824669234,37.014904835816175,35.65648111870662,33.40628443033656,33.826526951161526,33.722681136652575,29.065640429850163,30.657000753631593,27.864048821206712,27.705048518036765,29.892319054883483,29.195932075792495,25.30578228378083,25.2070885540676,28.21735869192722,24.72656496482374,20.38921475913816,24.615104404143143,27.357934943385644,21.279218014224433,21.42894129228516,24.883744061716726,22.9855615371894,19.05612724951944,22.38713662683322,21.409440346141118,27.093116747295472,25.72031674802336,26.786358742360044,30.270287568786514,34.61207709411119,38.126200374084426,39.69291377271169,40.46316485070677,39.422013857352276,41.98777207446183,39.82457450032897,43.3494092062423,41.94858024199175,35.9058466912239,38.679801356275924,41.41105330602815,37.08080639369147,35.19926038921519,38.49701524315915,37.904196870688814,33.65179727272074,33.267256925871955,30.37769748159228,33.29931586512583,36.20804115672243,35.62493988867283,38.046027824948126,40.82623255179376,38.534943684518204,34.47525703013154,36.353655953779956,37.28948105871591,32.65444195601617,31.17301342565273,33.52521795635681,31.75120789235659,28.405588991566685,32.66447590503838,33.27676531052216,28.91240949274723,29.721621994706766,33.57280533606107,32.2137990162011,35.17635829614261,34.32100328590894,37.525951784950564,35.76867284195871,30.296059122625433,33.713987989126096,34.69235746781591,31.353623509488088,29.903115416345422,35.47979084742588,33.6935923032222,28.487413118225557,31.003103143838793,35.20321417463728,32.66769408041519,28.763842923217222,24.049809684554447,27.15814189647906,22.858084004078602,24.15090998613349,19.041129352968014,20.02399480192301,16.507612935868277,14.476490956177873,16.345102695152747,18.939517612843577,19.809450915406813,22.526466359331508,19.51317701426927,23.21578000432234,19.76571886880132,19.630973950281053,24.563290982682183,26.62937528244527,26.927230092181574,21.848043367173183,22.33964449770969,24.958653516303876,21.693679434332747,18.104810391797614,21.94923046465614,23.82427967703242,25.15561183235493,26.211602786288044,27.832337488940166],[17.346312855813686,16.612009263868867,18.358384234989796,13.647125385185428,18.668007127648703,18.55804975356334,20.321718310004474,24.411203623079963,22.853995490953157,23.762136980276008,26.116960752171284,29.20937736611023,28.973689833118364,26.243677199638395,31.313030096785642,33.18734386742151,31.233411735539086,35.14590533477835,36.3158650744426,39.38490955244779,42.26453351291862,46.42219015449642,45.70989391062391,44.22622038743944,41.706409903912856,38.15067278160608,36.8259733278612,33.52233242001973,35.15682879875192,35.49281140270839,38.39670398605403,38.41342049988959,41.840951979899955,45.23269222310435,43.04168427927636,40.892466458611835,40.275598544274175,40.145207452822675,39.40593144828035,45.08621309476274,42.22835156112993,42.6094233949746,46.91968165677625,45.62307699547524,47.22878777174274,45.42015407547042,49.247197525770915,48.90925959108459,43.933488765873136,46.90622073628675,50.450358400504356,50.124782370922205,52.867464364475545,47.861136486638046,52.48559280254778,55.62474159247995,51.79615030009918,51.131131425560135,56.03508164724644,56.11006211176668,52.17543386343978,53.674447391899,51.935790120441965,53.10909226484354,50.75348812473796,47.39693762941747,43.900114324751755,41.312092086009514,38.14124940360601,36.219260963545274,35.01542633018844,36.92963075607362,39.43469229987091,42.649808468477346,42.69026455869306,49.23188408445749,47.91293424733462,51.032953252639636,49.971283212848846,50.91312865946283,49.08395423338169,48.29634571840552,47.04065784152386,46.38285993677681,42.993293309079945,42.44902479061076,44.34462264347437,45.37431823106026,44.80110408042207,48.04261425511271,45.4229746696156,48.18838056642357,44.76050409429189,42.85948446912502,38.15081452026534,38.241570177208445,33.904914091046074,37.18866085452097,34.903474250729005,36.78256100424106,38.48597229145248,37.75275840636934,39.340806026228826,37.559832061916396,40.27161022698547,35.61956752407033,37.97405076926401,36.078909981178306,32.160176142519404,33.07605559892503,28.1703864757409,28.504580767445777,25.207704185304156,25.261396615222875,25.579093581796936,24.9370008008581,28.256205761021075,27.87522951546958,32.32564930647391,31.363878462050934,28.01444267088418,25.544007835689808,22.466312704247894,21.268352059339854,20.056862326991855,22.115668951523823,22.51922254509485,25.536517468593683,28.18060721068723,33.03373080196278,31.495239292104152,36.040448480483875,36.40264784066996,38.021409858085846,33.39484076338115,29.63563850059804,26.59472722271253,25.613691486266415,24.050186492024913,27.429632853382845,27.928121455939213,32.70476015438416,32.57814230416797,30.76826920207645,34.4150540387431,33.44139845270603,30.373751809888635,30.32231042088987,30.263712837034483,27.760146014045002,29.542786680208433,28.92874143546309,33.284838092348124,32.5388886277819,33.70303801454935,34.57826338276817,32.597351823646584,33.422208065582474,33.921692886777194,33.52125990336315,32.75673200584693,35.248537331037035,32.4543054386904,37.05151933971453,36.921153476867424,33.699617774060286,35.575704837374275,36.235787813409,33.31690981430733,30.227798139831652,31.36643056762805,30.50996894582711,34.868108972356204,36.697987709142545,38.17317682545893,39.70368782337907,38.31845372174102,43.82923903593138,42.61871366171756,43.57069391029145,41.709900260293196,37.951307801040095,41.46437054207085,43.21103770610831,40.454998624150136,43.894489326503425,43.337040170472534,47.143209507939865,44.02119251534382,45.16096347364628,44.23258844896172,41.8396659431053,40.572010406690715,38.362706918386515,38.792748291103784,38.642090778119474,33.96775270045503,35.44142395191226,32.48047294278944,32.260595803468725,34.156993142627414,33.302401424881076,29.545745959703464,29.287367690217035,31.96040750951379,28.3448166302609,24.143062772113517,27.98613185276391,30.380216099823638,24.17817006104677,24.105670779845013,27.17876862499893,25.071334845272435,20.981072877692824,24.023135723494335,23.581903154680976,28.950102026823917,28.164270963944144,29.606899188732868,32.810910075856974,37.427659458630544,40.520591963241245,42.523724189609,43.572107467792485,42.89066428804344,45.649462687965936,43.724045881871035,47.36760440482645,45.78174021184348,39.89309186472376,42.89546088088358,45.590389243090584,41.18770927404648,39.5347492807856,42.98858960709838,42.185336948115925,37.893750101571754,37.90776723546065,34.81241976252452,37.876647370727035,40.643099888381315,39.75124075839676,42.16758324941921,44.6427064609321,42.46716090699568,38.51379689115037,39.947466434164106,40.76289643910124,36.27910353726973,34.633242539132375,36.538185128035614,34.584112149298676,31.299240590670532,35.37799211682335,35.609897225480125,31.01657501290202,31.95136523659028,35.78712299094039,34.76349043378812,38.05321858250954,37.62449892393443,40.90065549849114,38.73268237622856,33.51109145511323,37.310663205886065,38.02242931912091,34.55765948824563,33.637456006062806,39.13053884079759,36.96734834199586,31.988398638180538,34.92597898571586,38.829133196678484,35.95928108033381,32.18475851828718,27.432924530905403,30.150432908363513,25.625341006302634,26.526051768224935,21.72196351552132,23.159231898113166,19.59202936556782,17.524797315304212,19.970554685215763,22.539493197484088,23.93346928423559,26.646692442769723,23.96973929697565,27.811265611920753,24.3986717944498,23.685950031704937,28.513219319823392,30.235482644338564,30.372144037798925,25.47268891688884,25.475495221491556,27.67764773972,24.667623238417335,20.791060147032418,24.119869307388072,25.55389555962838,26.65879749698013,27.447676016390737,29.157809120538868],[16.681607324892326,15.255877913262344,16.438087494510736,12.506342090775432,17.331250746928184,18.823206786220773,21.113406246161635,25.395092427206446,24.8938774641778,26.091825433525127,28.937190063429398,31.730570871445153,31.150438737591767,29.081826803389387,34.26150555667764,35.69900220243206,33.52912439131474,37.62488907031729,38.80106020244309,41.42925435410978,44.35976747691529,48.25375424448712,47.498481337201,45.89687028967417,43.17134563545083,39.994999147289235,38.33521732155414,35.23263526114191,37.08702862368072,37.362712416540624,41.08262366267042,40.53595834317994,44.25918165888681,47.69065496284406,45.116344818779524,42.939640638493294,41.8304543965795,41.57582968867529,40.481407841250764,45.724962159300254,42.97522310814667,44.05974345041317,48.1706939892043,46.65910928373958,48.35939414577468,46.30865711808009,49.94441945575165,49.65426943975812,44.43290699856203,46.94802454216964,50.649812751882536,50.080069330260834,53.11825992223297,48.297348800667116,52.98474467927413,56.308067443557235,52.77862413599019,52.27485509809068,57.16258970660766,57.317121025739006,53.75641029712171,55.62007753327096,54.08443220673445,55.47213876572755,52.83686037908265,49.40428012665725,46.424856834248224,43.92554432569195,41.110266558995015,39.443490244577305,38.421383844698674,40.693160526570395,42.946621763192255,45.87185298989226,45.683604070856205,52.17095030896553,50.35352409793648,53.49327703510835,52.02431610518466,52.5713986995949,50.42709763047115,49.160462383228186,47.62315616317466,46.554868635656604,43.37043494085751,43.28814014698559,45.6509895910378,46.801860358345515,46.73678405802493,50.268667519208336,48.01913631416768,51.16579561108854,47.831017466235814,45.84664120092387,41.09896645076894,41.57827575554552,37.20034060948079,39.86720249553651,37.29441552748504,38.80476389636923,40.25078020999393,38.760269857718534,40.31751303162006,37.805212199780996,39.91180207528673,35.04241505152211,36.80227684963343,34.44590437410716,30.464334604848695,32.016569381583096,27.326504714204358,28.24538812810679,25.704671910910385,25.789229381231117,27.138769047431712,26.364633814783737,30.070106451491284,29.532939471591845,34.61257924692793,33.85151392522218,30.695245019300874,28.148704259851385,24.618437745444943,23.013644381424037,21.44679598097637,22.286503555250235,22.144845835813015,24.735582909596907,26.795690879841562,31.771774151371588,29.37978264464665,33.80705577112327,34.37170589671056,36.53051976584168,31.880141940245004,28.633873569199285,24.76520357143978,24.766572807933102,23.872298021176437,27.623180098425706,28.46989429297667,33.39298835585936,33.73376406180296,31.67608214478647,35.24508567060224,34.607656167535026,31.412733785223374,31.44256853181915,30.949846574445772,28.80404943003257,30.065825771062194,30.166727994845274,34.197660600375166,33.939282528452146,35.559825532601366,36.06584697750711,34.15183965618287,34.27653049482588,35.121692427736804,33.78737235268117,32.81035578009714,35.94541935098855,32.75222304746635,37.32986740218005,36.51525188092456,33.058594331481224,34.28599671178543,34.60119619968781,31.287001340948407,28.72614856421575,29.893340269510418,29.734462850454275,34.26521448148394,36.376927454100795,38.270105562525394,39.87825813155357,39.14288979388598,44.38127840815474,42.92240499334571,43.496053004531475,41.305937224814045,37.342629997397516,40.32116843548202,41.8462976899525,39.33149560762913,43.25480011577129,43.26381007108043,46.81083861225323,43.63714153468054,44.22411721204949,42.87630359649428,40.59217708958895,38.74527561806255,36.29971889489981,36.41980321823685,35.80460634796171,31.181966535069726,32.44899429091129,29.234828083101373,29.621827972021737,31.03705199288186,30.778012032034276,27.163095972163525,26.0482167891536,28.85692863597062,25.80672353539041,20.89611041750652,24.49686878088767,27.60037135949131,21.57292792874598,20.837152695462954,24.073935818702434,22.808986297690772,18.30025235077251,20.6448922717758,19.67963532907829,25.263048978128765,23.50481171846322,25.38149140571506,28.757814435440878,33.120704668116524,36.25448287812847,38.18656908347401,39.64455691207405,39.03387345323572,41.97248147968188,40.41287277596352,43.7737122232545,41.82674990321161,36.14785369755807,39.367855298936874,41.611029561248294,37.05031822161768,35.73891011938596,39.28282311372419,37.927884302653254,33.61964005493383,34.272893030437245,31.149326142148055,34.938728644420124,37.55904147056227,36.73632041973073,39.58436818985805,42.121783609581286,40.4295878964299,36.15836008981097,37.44417442467246,38.83224248346789,34.51315807368678,32.321678646480095,34.54958229016703,32.98899523177654,29.278855486378077,32.98228183929635,33.66502242615902,29.32956658362122,29.45448735836794,33.10470933903479,31.686800032865712,34.96451028237289,34.64593537598574,37.532299014724444,35.134379178372264,30.011915896981836,33.707707573576656,33.97424187780525,30.452922622218985,29.637095905629895,34.838249975989946,32.318777845800405,27.436859128014813,30.52860327393514,34.096902099346465,30.971539160029323,27.249223667620416,22.56764088751719,24.899611269510498,20.318338301728865,21.41166733309907,16.81179523492887,18.8698438396458,16.044212705910937,13.092341904511846,15.560513476002079,17.734259977333767,19.6189025754811,22.668359765224146,20.937169794466154,25.099030972891725,22.52918690248852,21.752650156575783,27.029093279444247,28.606446723201035,29.598527287268563,24.571795106301842,24.03932837140672,26.932990542494004,24.669938358287755,20.1842696382555,23.20510213978496,25.41730939884491,26.695461968910887,27.555250799601907,29.007891977465203],[20.13944125585399,19.217531967498672,20.87401473695452,17.123281097093177,21.985561279559406,23.25427835179612,25.448146638529916,29.70123020083513,28.804961015424286,29.81595256841608,32.43644529489934,35.43609498737339,34.925177959930025,32.443356302723345,37.59600487585198,39.26977260808528,37.01940439002342,40.91095087010952,41.75468047487024,44.68008547033879,47.38448859594525,51.38766871648346,50.431992278204135,48.63740775627797,46.18936674769159,42.937460016659955,41.62095504439757,38.63699676086295,40.644442541200426,41.15150922838269,44.504901458569776,44.35512483545202,47.979216699814096,51.31897707730471,48.87685999202524,46.57394863801703,45.76236924893152,45.28463413661152,44.17580871934929,49.49826104103524,46.52066258893044,47.39662690748994,51.52589149996156,49.87270224591326,51.28639575004092,49.08792798629534,52.75517274526262,52.77512834913113,47.59566900566599,50.10374209554731,54.005372353755035,53.64149050409408,56.6979679768391,51.91274807855668,56.769394037415644,59.8786748968356,56.19101325996609,55.89127681413338,60.77714278152884,60.66761714753775,57.05979610141026,58.93765923678941,57.45932613879706,58.54443602086154,55.93655796683512,52.70239356608301,49.37953597539932,47.04061286071812,43.87462778635354,42.27773322384038,40.97873349847736,42.94004090702344,45.55628490113644,48.51892765924745,48.70520360142597,55.23533840229107,53.65974289209004,56.92503679630582,55.61496818693113,56.23874685572884,54.32580960574185,53.1080381074951,51.7857819225182,50.68339052337546,47.35529121586722,47.289489800897215,49.425181694293876,50.739182806454274,50.34478711811699,53.91543728767072,51.43185497576635,54.3722959036053,51.04989332804871,49.20249235857316,44.480388825798975,44.749424068167684,40.396074329119415,43.482001478054165,41.0766474928286,42.762760497813645,44.31471957696733,43.102741216282446,44.61984876936909,42.30871074946575,44.4469346676565,39.62984397467251,41.44290771187987,39.04331856213458,35.10508385584707,36.68153591822326,31.978347326607633,32.754642058215,30.082319609455684,29.974391447941137,30.961901323964625,29.964150890783277,33.446574763672025,32.58355326426874,37.39441546724941,36.91946274140892,33.597541395269815,31.292380677358697,27.726324610306435,26.552490217406575,25.372946437563805,26.450763262345312,26.693600723293926,29.235238304018985,31.357633756514478,36.29019795628974,33.79223021797799,38.22988310855171,38.63066737148036,40.947798021105484,36.1280164163606,32.891798395571456,28.9516230226835,28.730754583850896,27.514361322406213,31.247651940442662,31.46748619768744,36.30977255617806,36.863966623603716,35.10435386210052,38.81172695006096,38.34261314908151,35.21218781588268,35.464094577825136,35.2128975294506,33.05762437019247,34.51500120409091,34.40310365375201,38.515575505781506,37.97034006688843,39.52783324173853,40.23403937455041,38.296392907163884,38.6480833286665,39.33202564944519,38.22388178386337,37.098221547473024,39.99055732704067,36.62068192915231,41.222400248748976,40.35150473550158,36.57868233319612,38.01827401805258,38.013476507577366,34.840766418664025,32.31278217566207,33.76226968583904,33.63957222483727,38.327532952319515,40.563691582273165,42.48960203983646,44.227961914590885,43.35396967484463,48.68738010288828,47.13992275208464,47.83321418414366,45.509465010211564,41.76303784453994,44.645992509994656,46.04326920305834,43.43622327401581,47.205720422961704,47.07527081674796,50.561187996460994,47.060890662158215,47.823739268405845,46.3994833134665,44.36254250009434,42.5407172299118,40.226996178434746,40.44998066679909,39.83713488502617,35.333521118893906,36.70779932784438,33.51421945164291,34.131763827296524,35.42566416966536,35.31511438231749,31.754418136754797,30.412786009390075,33.17130952126981,30.252732242643233,25.245731222836213,28.59321927093004,31.735928797309565,25.763030553462258,24.742098440450377,27.75205582606967,26.624380016490285,21.99435338531758,23.833382843544417,23.045189942211163,28.369467375835725,26.486794780464837,28.849881959509094,32.09676922616266,36.41947425641084,39.25706878838724,41.42068522205372,43.26613339196319,42.86552282238509,45.94911372891019,44.629128104571635,47.878623273474695,45.71015673686838,40.21134198788191,43.54665475986378,45.52076032689764,40.875317208009434,39.78007162337533,43.31008164892297,41.58421563983465,37.30234198269897,38.25479022641396,35.27078647762603,39.33761351859826,41.925492630458464,41.119493618518305,44.07926547994082,46.55697201639563,44.996950411728506,40.69920799119631,41.82815786535029,43.28702932001641,39.05411901658417,36.723252092121385,38.81929357723464,37.250952112813856,33.51578814127744,37.018742340437356,37.59203728676165,33.207704691830784,33.21225625693852,36.76007931448834,35.431439402457414,38.86354544356758,38.79522951000957,41.55497766770941,38.876341411454526,33.97213454373849,37.74908200683695,37.686019725057214,34.11358150490098,33.56177852911779,38.508639437419404,35.613435840719674,30.95231096730781,34.1951323782077,37.38857090785461,33.931699551251576,30.348330244977028,25.826417614632565,27.43640927927379,22.77896737216037,23.9675659750105,19.933511759743546,22.601300090420192,20.162141806218127,16.889474453674687,19.431153809344806,21.14423293599155,23.40595627379311,26.721071125668608,25.397923865585284,29.595510632630102,27.140964969209104,26.401465443361207,31.683320241163983,33.17372321025181,34.16042109673033,29.177947258309327,28.486474730285654,31.253780963510376,29.076245352225683,24.5149357438059,27.2778397032464,29.300971027292007,30.442085963941608,31.118421491485325,32.564255279207],[17.11682544946384,16.782554524748857,19.310741909080217,16.532273426477683,21.978631999608357,22.46431482405886,25.239562744752792,29.167726234932253,28.375979134578397,30.0766850368185,32.557305312139846,35.16523783181908,35.3438126767,33.11024636398847,38.1564377803635,39.86273647494503,38.11115811839076,42.23835406622941,43.60947691310528,46.43560208006401,49.42557287311001,53.45300252905245,52.76300674501431,51.229424851536535,48.573257189160394,45.21741236147669,43.64554277062266,40.36976530828996,41.95569497210811,41.99416364011033,45.27914077742068,44.75021753960125,48.19779837353719,51.843273669790086,49.566038834111076,47.62447745788666,46.56326742984242,46.6937612330123,45.81880327382353,51.216441453757724,48.53884214886543,49.39238183198968,53.599811816600706,52.21131836464736,53.908946220498535,51.92642807889629,55.621235664648786,55.31870020825581,50.15187674188127,52.76629646597221,56.423903234526406,55.856509782154646,58.82643510214611,53.94031946108667,58.52380887830752,61.89256323287984,58.307346318463914,57.6392758055051,62.53804861263407,62.77348860252412,59.04285143188609,60.675418410777546,58.9466094407478,60.3424643160967,57.896097130238225,54.422366954438424,51.21149157784827,48.54890045978648,45.586295088709065,43.604507786550855,42.53741173828469,44.51808783900293,46.90370659105071,50.14937954489644,49.97369384584339,56.4892803768837,55.00281431836775,57.99218817274361,56.768792250341306,57.57700183364616,55.41461800251147,54.4061706005064,52.75176163563521,51.92336896395291,48.805186888747755,48.48370512030448,50.798206685691476,51.658096081427956,51.566617502806714,54.73828799200532,52.36871591116888,55.26907732837405,51.75745464992774,49.62794380728098,44.89006726641176,44.970154654362574,40.62584610453223,43.47457725176341,40.8574256487019,42.013183972205944,44.162866048808645,42.65281893157228,44.715093167871004,42.20519343125927,44.720468478713904,39.756381140172344,41.401241814602635,39.219594921752815,35.02302865528888,36.4229016675032,31.739440298207338,33.08462616571898,30.323508438671052,30.87888001501432,31.98778480695359,31.52860174255781,35.13923599622453,34.80423625519709,39.59233981204052,38.598589070980104,35.352210356496045,32.73249662322428,29.564819793652827,27.98985538236803,26.245894563075954,27.587737809177906,26.85928995083683,29.83957122724686,31.800462284116,36.860307702727326,34.54735383135026,38.85062087737559,39.751136078876144,41.785052129094076,37.38466849091843,34.1435099072818,30.33611951642157,30.498060971051412,29.628029755839584,33.30675199545313,34.15239585985552,39.04870826440114,39.228903097304034,37.197379744377756,40.75574223170036,39.855432257021945,36.67335701931247,36.39170501788039,35.7847707441937,33.20664523718389,34.16481370357174,33.665647672098764,37.44385433839498,36.39261601239485,38.389559230897625,39.467397324812076,37.97108367589866,38.34562702895214,39.52245811451086,38.48878417702472,38.0115968229306,41.16088967207082,38.29630323314695,42.869599630633076,42.25183966811999,38.9209661312735,40.11279686918314,40.46039779977247,37.07569063227385,34.586637862657696,35.67026269914512,35.48570269605002,39.89621304633589,41.84038528223833,43.55770986157012,44.90606974992121,44.00529719537839,49.25487450738978,48.12159907306752,48.669894031667155,46.76707025321937,42.542092820365944,45.72145198959133,47.37783916117156,44.958813898854444,48.95734234307389,48.95125627548587,52.57328626510545,49.491604613209475,50.08230398230839,48.73467511928809,46.39846056974862,44.48075234180982,41.933363743373135,41.888481113151876,41.04831290036405,36.379958849154974,37.29367988334617,33.7705621008244,34.05942651139718,34.90251639761346,34.47315879725302,31.158024122535732,29.72490731187606,31.95161241550119,28.883676967707903,24.26725111729713,27.14139852333059,29.731744815270808,23.788649447536912,22.68006094852545,25.250763846621503,23.932130173692034,19.359126024868946,21.01929736153519,20.820179613641898,25.692015995232595,24.857247118446427,27.165836325291593,30.012231149216806,34.65646899505372,37.11157991388962,39.63901298022344,41.48958119820622,41.436339272652496,44.64163612173105,43.514660437698296,47.00397954368089,44.76591417340414,39.43091604259234,42.992951990735804,45.15688110404862,40.557139109084936,39.64776876854864,43.443898631386055,41.813154071897586,37.51244037510552,38.84694880367755,35.323234581559134,39.31350098682637,41.62304242045724,40.291777830591016,43.171719418168394,45.21480630738921,43.84182602517965,39.70368684831087,40.259286305803535,41.59744046653377,37.60500824048972,35.06615686964336,36.69494721195476,35.02469494882003,31.356698781980402,34.62683287135085,34.8859572912274,30.413549619319767,30.48315169663665,33.977286760097115,32.98265594264243,36.65274532528522,36.97962411171247,39.86013052812606,36.872503621165244,32.248544659176034,36.42064766828009,36.25784571590789,32.63408206926712,32.66000358995409,37.621862786131686,34.61585840690152,30.23215416065479,33.910635823821956,36.97000897077987,33.46885259265505,30.075175130826857,25.502503067829874,27.341181885184877,22.698145998513024,22.914867099867944,19.031779091999844,21.473452289978376,18.764035641469523,16.15412190296809,19.23274740818144,21.381707351238344,23.842989898930597,26.57861882428948,25.38996439354167,29.683682696993387,27.32820833161738,25.67846643359503,30.790424858917536,31.805571039515854,32.82405963469712,28.086690017005452,26.75158079411517,29.22478696901586,27.625500954069622,22.69357081100726,24.828857336331957,26.68047383322986,27.70171497503391,28.238441362547572,29.66935373639488],[18.83816086741315,18.87321974386281,21.558711034971516,17.881993981105758,23.35461442369214,22.937447287229087,25.183435561324195,29.031697522373126,27.404068291098476,28.70930513502356,30.797570642576986,33.7155249614739,34.01667680610997,31.203891239168755,36.136517889097824,38.18826181285181,36.49507109508421,40.37942503540452,41.58067564443662,44.78813735399879,47.63507522059575,51.86020798713025,51.121553088022466,49.602905941719925,47.19222291357154,43.57409505208947,42.360227474820164,39.02690866630009,40.551918406126035,40.767536812382474,43.379462940171486,43.4212737426248,46.65109128184891,50.17161352528734,48.18194135388772,46.17316717890078,45.58549935898412,45.64568993495639,44.98746634050157,50.70030473925854,47.847917901723065,48.145196037782874,52.47980452867909,51.18363874592329,52.70790512232378,50.85082237355148,54.68489499654099,54.45356746104544,49.48299670966717,52.42337477965905,56.03590702148557,55.72689658559427,58.48946035140246,53.488525400172804,58.10238626879894,61.240791136133865,57.38498909256763,56.70000174670524,61.60128016720055,61.6638027408409,57.66959057846529,59.069521438475725,57.248641175218,58.365168521427734,56.11303970974901,52.78713803030562,49.11768898858678,46.49007614973133,43.17763342608687,41.10140178928726,39.81317577907696,41.44575592552728,44.11483536238637,47.51636842088308,47.65010373705971,54.18767338290524,53.11189866183184,56.15236474093019,55.2533403437774,56.335713777203445,54.507979447742166,53.82913848834636,52.49737132797909,51.91654529662506,48.576699638412286,47.965102507635784,49.850331874415296,50.73802507995813,50.14564366935491,53.17478428415629,50.46867941103882,53.03826497148525,49.510289641763336,47.535166569718875,42.86006844664499,42.64373013681106,38.36361194790808,41.78215762749087,39.46984058437305,41.04408138479425,43.26401811584913,42.442438323119106,44.39012120124597,42.51086841755601,45.3965594326258,40.6327309492105,42.78205565065193,40.88156062255476,36.786138026228016,37.763326257453066,32.89585614376997,33.653068661351156,30.356317814065576,30.708894401691524,31.00935103660505,30.50213567602629,33.75568130846318,33.3817689291506,37.64331987478884,36.65464189740758,33.253908512450614,30.815863602581675,27.923372737936244,26.79022284308975,25.4765286178509,27.61339350742196,27.54384106486602,30.71737583794159,33.160349062275984,38.117952273535145,36.37092982187936,40.832553909533445,41.4361424967431,43.157318602652104,38.63052870773877,34.99751961180802,31.72485171213728,31.069889736845436,29.614875792939856,33.04263773054289,33.43068949118705,38.18770710841545,38.1296410350794,36.38151715817318,40.036252868315025,39.00699163656458,35.94813677888896,35.755137409064375,35.577897311537,32.844127703319124,34.324021500950884,33.36256564755121,37.4636934523322,36.12517363245819,37.652408699167516,38.9510531214889,37.3058420184966,38.229083143098066,39.00809956621155,38.68198761598089,38.18793049865567,40.77145841612539,38.06759702945486,42.6618569942806,42.48857062016996,39.19264357430938,40.94914851935749,41.4454626600814,38.40298110837823,35.49800406733261,36.679770597773405,36.001198269574125,40.37829761224359,42.199205025781815,43.65814564460613,45.05637013872334,43.65595839515543,49.13789191785331,48.085445911483774,48.97057833579464,47.2004661995451,43.26421512724551,46.772613298363396,48.52563348584885,45.86009337844598,49.4279407511154,48.946135497241336,52.72896028699987,49.55386683593097,50.626563174143186,49.573848170864395,47.24175769904151,45.786438052565025,43.47624261396799,43.7466322177208,43.321951017104595,38.62993120312811,39.84883228167553,36.58828062909656,36.521921394229715,37.87868875999902,37.08579758221017,33.56386743108108,32.79760129326191,35.11087117596824,31.628469949671015,27.377495216531386,30.63949216706456,32.869998124560624,26.74036725432697,26.17771783605032,28.789990766997935,26.84812997422733,22.57135202082943,24.885136659604512,24.891762641084267,29.78215524413664,29.38003991751736,31.348873977249625,34.21191998847776,38.978898858791105,41.53638871326953,44.01015571798588,45.530808587756816,45.314130582294496,48.351811342839845,46.87192096618891,50.528434302301754,48.5888350479188,43.00784020009698,46.34945553863904,48.82337109756204,44.307844967599486,43.063788500734866,46.732017007397154,45.49476963295683,41.18103715930465,41.90408047149978,38.542505439293215,42.028852912402684,44.549738391843185,43.314693339341595,45.89494697545606,48.02089484533686,46.21107266642694,42.25941529634907,43.0977215058861,44.022033828545155,39.821780950134155,37.7584795185326,39.26999338248126,37.31041873628273,33.949739370743586,37.59473702102011,37.5780371298025,32.91294702487949,33.61905177050157,37.28650087568428,36.51101900945059,40.13103410065169,40.25323888535202,43.420699980592396,40.70030619534075,35.88501945276308,40.038495517774955,40.26470653995366,36.682368955658646,36.429665788342774,41.65896863543912,38.96393736974632,34.36650851403907,37.80539484640969,41.207988277071216,37.91306723181902,34.37671165285724,29.703009422307524,31.83673147155129,27.184728299761755,27.609684309903823,23.401342003218815,25.42734225281506,22.1738130841602,19.93864320663115,22.860374507979003,25.23798255744021,27.27579885211868,29.999590493959822,28.025454704896383,32.10857608385122,29.080256670267694,27.73928557629702,32.60540379779522,33.871766990480175,34.2288072694921,29.50745958868943,28.750374395872285,30.778367840842357,28.456446971380984,24.069498435651802,26.612053194538472,27.8885065118429,28.78653434296859,29.286224795988584,30.926895242202416],[13.418700695545622,13.160932258704529,15.929590969035866,13.001348317196571,18.725318568634066,18.432335125118033,21.294169686895657,25.053167402920472,24.19896230126748,26.164292683562827,28.581827101975026,31.011423952824416,31.47301856760683,29.401332986959687,34.369143271968326,36.05634168302304,34.594824040782555,38.851024477371176,40.60071139267733,43.32436595360611,46.52295585944703,50.55570768063522,50.097499078886976,48.820018805695675,45.99494386863726,42.54772810418899,40.7877848770806,37.2935995549685,38.56225895179179,38.320728728242536,41.551376629682096,40.82782178156236,44.18654654546621,47.95876797981578,45.77165830624981,44.03619314436096,42.872225640418726,43.376585350133865,42.70970565849302,48.21170949763537,45.747423881495976,46.48369752400609,50.7548358875272,49.62181441949031,51.55858251146181,49.83403612164744,53.57083235994145,52.94543447338573,47.86144497970891,50.67103642655308,54.051047914438044,53.377399335106595,56.189776400428656,51.196866917922215,55.550345881925594,59.061598681148354,55.5152602895117,54.54680271031694,59.442622563796824,59.927947114011694,56.0728958403435,57.49489286183019,55.59150866451089,57.20769884045245,54.89006818118527,51.24836164006965,48.14535758935968,45.259279013124406,42.49809256697046,40.282478797093454,39.42633799636786,41.509344359466624,43.638890982853994,47.017479857081874,46.550339189411716,53.02859399983641,51.56781244080272,54.37802926205163,53.21006636476161,54.15181324399584,51.877920096352334,51.07033889301425,49.284584297227596,48.71206698635963,45.684275602074564,45.10855775514679,47.45420729006937,48.02768635028755,48.07076610475507,50.99510218847159,48.70121862465585,51.6012249270219,48.00770009449781,45.73670307114016,41.00115456205747,41.05063112391664,36.71669955413154,39.394975343674325,36.700534193903074,37.7115630362246,40.04030278541886,38.52862240531113,40.77900643713038,38.35331496961473,41.183963776353124,36.23751985613062,38.04148521908708,36.1445006892799,31.879632632654065,32.94347676367209,28.18810335286186,29.57091839431565,26.5952766144102,27.489107001024845,28.51343303111332,28.433433777613246,32.072849197308386,32.17967456601143,36.89704661416745,35.48934420838226,32.34346529801507,29.506081470438332,26.67597642888177,24.827183667377103,22.760795148567137,24.44868032910217,23.33384532693895,26.645182706940158,28.739234881725714,33.79960532753579,31.97626607764862,36.27500138002958,37.33398837640243,38.949570063125336,34.80759530521847,31.36904595565089,28.003414623648997,28.045999977359273,27.260716173893325,30.76547323155185,32.09114467438759,36.96936308616356,36.728817143310685,34.51422930911574,37.936817626706315,36.678076809690054,33.50111090528637,32.873566315512114,32.148969461843336,29.322570906295024,30.18001272325555,29.446033965448297,33.199587115222165,32.03480839777666,34.03231882532797,35.20176041991529,33.82385470687742,34.302052946780094,35.607052302831214,34.787762722003755,34.689334865883396,37.829196741977356,35.39831612863128,39.92919179003774,39.6835052587627,36.802373830677965,38.023478288078124,38.82296449548854,35.4578604402803,32.75968634449881,33.52990783301684,33.032634939663424,37.16403014633766,38.82103729690225,40.28945042255976,41.402804849664435,40.349300684356365,45.59778186756073,44.73771056230405,45.30619949018852,43.745407260042484,39.3293209136935,42.86219862991689,44.762670474786766,42.36827846686961,46.33170688507558,46.23823186773766,50.02812158780038,47.31860554021946,47.95185130364462,46.849513476414515,44.22418990219303,42.5044895579858,39.90980577940991,39.85363862363651,39.15781452463496,34.35369887539769,35.16439096413286,31.668379111842953,31.42960577311391,32.47443637490102,31.57977377558943,28.2176343011121,27.332060252682794,29.411183099648582,25.923658985105877,21.811825176813244,24.902666921213495,26.99407103432038,20.883798698552553,20.328794067037542,22.932815293445486,20.998772775601736,16.70408475450443,19.194562322886796,19.239431967285096,24.16061371732102,24.13142567668835,25.781530231256507,28.58029347818964,33.4450827252719,36.072723579566336,38.4941415176198,39.81766687674231,39.618578100739896,42.64346668762896,41.18720257012502,44.94609464816274,43.043228158565945,37.495616319057305,40.90955044243438,43.534099131892965,39.087720457512525,37.885815709069355,41.70167284487663,40.63670127493855,36.326859371508256,37.21196073827834,33.48342553455982,36.90746339894493,39.2431614364262,37.75207073994738,40.33090981120672,42.301777581140875,40.6440378888757,36.700697336159635,37.320924631764676,38.315877691030835,34.2234931896885,31.989107969911245,33.47566036958844,31.596353034150482,28.140868478603622,31.727168934786945,31.797707036199018,27.187065230479412,27.775136887969474,31.46132939598273,30.6457278372226,34.25022135214299,34.395799300836096,37.59792935839643,34.89193066090941,30.081709760198542,34.3242256389845,34.6299141602087,31.0661839611875,30.935993869124868,36.24664540522382,33.708546666191566,29.150539635325185,32.707277445019216,36.201345155134184,33.09654040556962,29.60283885581807,24.871976455824743,27.523495275009196,22.998918060586202,22.895098367134036,18.46626210759937,20.012174199626994,16.519741505324568,14.818235045099465,17.938143243324976,20.72551690163932,22.68554437460286,24.91361718533255,23.007515475234026,27.145869551307356,24.373312951363054,22.44900041875071,27.319587198531053,28.34014862642017,28.9967788239127,24.331080960073106,23.162205319584633,25.36276835136493,23.525162660073907,18.74680876396059,21.08032965651678,22.71956918945491,23.772778383708363,24.42226817981392,26.009463870909403],[11.229767904773407,10.650776833193854,13.077406421107966,9.40643733704223,15.169269995830998,14.168080383790343,16.889275536870745,20.606970249489486,19.672354204973026,21.706261659256334,24.154103690146908,26.515890504195614,27.0140667502779,25.09248757596075,30.025647930494543,31.64484666497987,30.332882781660743,34.67874720289753,36.70441922950888,39.30597453974921,42.65876496138811,46.667755268570176,46.39559141486566,45.32989441414131,42.366140639904515,38.872255306975454,36.953970167508366,33.30905502399121,34.35083054517971,33.936949113507914,37.19018788912328,36.33826467228272,39.6880312798116,43.500603939307766,41.32712016558193,39.6972453008298,38.47290011941102,39.19586887761441,38.67816478485187,44.255024748268895,41.94846989356828,42.58642034361366,46.89222139156955,45.961030230994055,48.08757671516444,46.58840105361962,50.34670935437659,49.450996205135695,44.45973942843251,47.438724562019,50.57179858582698,49.835914668805984,52.502013369203496,47.431567328744414,51.609464573214055,55.202904300698066,51.68266693257223,50.497838293224866,55.385204159302766,56.045643762472515,52.110098018492145,53.392075308484785,51.385260824463074,53.16478425933861,50.92411801780714,47.16300342997396,44.185547736787285,41.153018828423164,38.59201138248044,36.25225531603397,35.58838875173826,37.82322202855664,39.69711220269084,43.1060855740493,42.40046994154964,48.838249650137,47.337035226817555,50.04136467311875,48.878132536245836,49.88626990667364,47.55390043075928,46.88325865237624,45.05115617694333,44.664387991647246,41.67514891001094,40.9086918826619,43.249267300180726,43.656037599852446,43.776044664700876,46.577495780165265,44.353817227900784,47.3010606207559,43.68655025074786,41.34686526503675,36.60827736125448,36.73325261811235,32.39555583497483,34.91704716708196,32.18874330059391,33.238038079287065,35.50968038803541,34.082524328836044,36.33360959530371,34.060553740556344,37.10316721091148,32.23247480889979,34.28725267281071,32.643835438794355,28.416511465199715,29.145165158475137,24.299739299394137,25.494384049916935,22.29444754093741,23.361478755204597,24.27556907981372,24.481696744441223,28.12745686512394,28.60270761175246,33.26111439756941,31.53593299408959,28.50945491681799,25.50443870041977,22.945223912389046,20.858416147551523,18.552417785528704,20.554523007995986,19.309374801787392,22.860216607923643,25.175568527279776,30.168831182240027,28.874649402678028,33.1938356559244,34.25046568119495,35.47093519595532,31.500432265412847,27.845644282098984,24.995790153782647,24.76761163798241,23.99756287782272,27.2849723995859,29.010198682837594,33.81925499535101,33.210662590078556,30.856924260495756,34.1489185004054,32.61734592099474,29.461492547843427,28.600489161169662,27.848310397842816,24.88836465971234,25.819955541528596,24.993673122659796,28.875030773193945,27.84773318448905,29.652896811134152,30.7397525277781,29.306475312520007,29.87130001329797,31.142810705733396,30.520386556715334,30.628073864374873,33.68228880424362,31.59005742421763,36.06972995108637,36.16349614473551,33.68294750340047,34.997454350251935,36.205817868317425,32.95306008544155,30.02593790083769,30.53233043373154,29.691473763375516,33.56405008223535,34.980947374069785,36.23609301130935,37.216348328168195,36.01092110744341,41.28671274257739,40.5845153380758,41.21929627820874,39.90083827776863,35.43332156097668,39.262266238277284,41.348974180654174,38.92767132471954,42.771511752643065,42.54933766618862,46.474974337605275,44.06804667494527,44.78890521593521,43.939901692953136,41.08933287513045,39.630636460786036,37.07026630515676,37.091277683213804,36.64657387708638,31.77822275113868,32.63257968549643,29.327359545183555,28.59039522136904,30.058333247933934,28.752508474861056,25.250538076240833,25.088214887053315,27.201849159036225,23.319722574653323,19.72455961357727,23.235373518339586,24.95904595827766,18.75590680035199,18.94775466209564,21.737295018860696,19.230308843578307,15.419000482021422,18.862596986034376,18.88227699918216,23.911117834359178,24.282502752405517,25.19098599874844,28.05966637368741,32.9479985188742,35.897750648451435,38.01886364903051,38.74561732234261,38.232765842017336,40.9791108168061,39.07542788046904,43.017479035545975,41.5332214207053,35.718803674435314,38.843386254024075,41.8973592531667,37.639662320055365,36.040614174889164,39.747276795137246,39.29458616091682,35.01988651274454,35.23963189973948,31.51472009104008,34.27727564571838,36.741933755037984,35.293459504190594,37.5423211409645,39.61141574684014,37.54807930987736,33.778343586996435,34.73188062495516,35.37846395029397,31.074877999286418,29.317589596618436,30.8528952237097,28.7954016421884,25.594473122773035,29.630141851992086,29.64392761299497,24.985175187404806,26.134611235177626,30.009461148793502,29.24231610318665,32.60847967912966,32.356565512909995,35.84374690984,33.62577746599838,28.535409149554017,32.627760021596565,33.50784261208104,30.080877780480137,29.524693999643933,35.16187676880642,33.21979092897548,28.422083177372443,31.613621933847124,35.6045201074244,32.98933574384668,29.366766125420956,24.576736345559812,27.965237795088928,23.6625937075608,23.592000852808496,18.67936489594615,19.252405860573273,15.089685175932793,14.295414633006024,17.065373129144582,20.311293711675997,21.557834588402617,23.357881081655652,20.550301043044996,24.39249662002838,21.07754662222409,19.230704848628804,23.833700146003103,25.086736926492932,25.27660508731883,20.59311950371978,19.988393718433624,21.986900041461105,19.537562849530026,15.195341591046386,18.147714502992322,19.607666009975013,20.76112178698884,21.638641962402517,23.405370158562462],[10.962323043931097,8.839836859076113,9.759581035533943,6.6958397056766685,12.037697023506876,13.250827326256852,16.309777258397304,20.266016530656373,20.618883595859078,22.68502469431147,25.70497573111787,27.793369783533805,27.64921524439189,26.48059002258598,31.488128633291403,32.5603665239058,30.92201950705147,35.3995662201143,37.38428771155857,39.472334891566554,42.86064678504821,46.55712880037081,46.258841356293324,45.10413246230469,41.9136511277655,38.842048173401885,36.56133787260414,33.16175376680955,34.456490161181925,34.03841487512571,38.21043424119435,36.795707782599266,40.50306016131635,44.257955515736555,41.62591166210743,39.9180805056038,38.189313619785345,38.70426255882226,37.80231691989347,42.89182739512029,40.72031600966566,42.08685439012956,46.15979137963401,45.03162014088984,47.28231863265524,45.5880395744914,49.13789157157639,48.23258243903459,43.0283493309901,45.5641107583544,48.79072743323288,47.79865009544337,50.73241995608572,45.86003668525443,50.074580027955164,53.84758338632653,50.651258990330426,49.62908452826247,54.48160842814094,55.2308165618129,51.70145954221821,53.37408664405188,51.61067296394007,53.60977733178224,51.066824591871615,47.24073453839765,44.85737559390656,41.95881430577355,39.81622223161111,37.82642238170434,37.361378092727236,40.012267316941994,41.58709863515102,44.60169769783229,43.66179840732892,50.0027889747871,47.92187586055498,50.6669335206918,49.03854317109338,49.58914965984757,46.948542232417765,45.75442360151705,43.66466461210168,42.83735451257586,40.0589144027334,39.78821257963706,42.600315641126436,43.18147551635304,43.824234236272076,46.99150780993988,45.1863878458282,48.56806624235312,45.12190256876669,42.76513684685533,38.027726553843486,38.67357468094808,34.33653076176754,36.15490791741258,33.1903342327468,33.98828148749444,35.71292846204588,33.52941289640625,35.56864087710379,32.55908456983333,34.86989152641137,29.816461656310466,31.30342658140604,29.177087490737648,24.923956155832766,26.322378475636928,21.70723111947668,23.414430737492683,21.111457965066574,22.100658801092376,24.134346221136806,24.154404597301067,28.15905712509928,28.48078696820416,33.761116026370786,32.27292308812398,29.5013704810942,26.47806986814126,23.443194003569477,20.968272134178896,18.382407606750036,18.954073813152775,17.196860257633745,20.199462382578208,21.92055715764407,27.01392477052491,24.929123449640464,29.15022442287774,30.383377075469276,32.07905187374895,28.101970861982622,24.946536132093314,21.37570143280548,22.117728480893252,22.076487420671878,25.652848918441542,27.823301211846054,32.716031184898135,32.515590143018315,29.90141130538047,33.063347698834036,31.892172443888068,28.636316285186858,27.91265427608156,26.739159380618368,24.31148838926457,24.771113192778085,24.94233145813248,28.51551057512791,28.34498687488898,30.436829153874818,30.89849893767182,29.39804869467551,29.138338541949743,30.65048215091315,28.980894158393756,28.772492771480703,32.46157263140663,29.96807228300166,34.387653485270114,33.82464166429051,31.217619920623893,31.887610952334548,32.88205010993744,29.284117682673678,26.832638856423415,27.265268561675256,27.053202776790677,31.025295519445518,32.700342965542475,34.37813770443117,35.471796589347115,34.967992980033706,39.93570944468112,38.92438154275933,39.18356437086778,37.51612542788877,32.88776721237705,36.17761458861413,38.05863985158236,35.8708992113858,40.16131899521041,40.49007705136783,44.158829625061756,41.77383418752752,41.95670659489097,40.762154887347435,37.966005418783894,36.00698484483976,33.22705700746646,32.965149536630996,32.144169326312515,27.30213465133871,27.98323001135328,24.48862270128111,24.24705714980355,25.42748262582633,24.684587106216878,21.207824749555062,20.35632209358451,22.7777224004109,19.389810034749157,14.985636329661288,18.587439168458253,21.17658084808025,15.052934842725408,14.770266063900243,18.051289517107012,16.421189934286918,12.202713143481853,15.3367389766417,14.525447251032016,20.07953654334177,19.353171042826077,20.33398016163172,23.56101614205175,28.16545389812997,31.434655681021905,33.26443910386345,34.1506124706656,33.489771634975526,36.30188729665308,34.55261572317096,38.24247043336928,36.55879953376597,30.777002355890247,33.99679873200946,36.74942078492349,32.379129464890404,30.92367701879256,34.67012056884048,33.91438945706955,29.617014741528884,30.165399508854417,26.424904308024885,29.722217994167796,32.139178926658566,30.86903394363479,33.50280979534546,35.79417907211662,34.07201459049724,29.945446598448406,31.00864519607043,32.228546037428785,27.95885981751458,25.7790734718171,27.875915574051017,26.265351618599908,22.601914962821333,26.452959727742154,27.10387751756282,22.789942281724723,23.124135611397968,26.890397366076876,25.56054911958956,28.763710658630906,28.356279899302727,31.517632231210747,29.317691671405715,24.085224838201647,27.951228992159862,28.635979716857246,25.18476367207966,24.426039816800422,29.968259241257865,27.951059587385693,23.04467781000856,26.200524627262766,30.14559859103623,27.523870295590726,23.85026081516081,19.062027159289403,22.54987401995587,18.357112545944062,18.4843715383391,13.39373199223993,14.009105968667571,10.21740033481031,8.887739472117815,11.548427162701474,14.778431945578445,16.10995165362282,18.038583633973058,15.80510255598078,19.94062303659263,17.363604021204484,15.601882148176124,20.752995473107283,22.05064877333325,23.14504795294778,18.232730130397123,17.346841442825372,20.295302589793938,18.445446098631333,13.67630348820518,16.627456397074113,19.137481525004112,20.589121224354667,21.676534845866303,23.127791852780984],[7.1237001394249875,5.4757435315778356,7.5703377403282754,5.217296410697684,10.941247915138565,9.567825038806996,13.130295284079459,16.494196249180685,16.677113668667456,19.496692144575903,22.207906377917734,23.838513449639603,24.53360385819819,23.628354689111678,28.352736018610347,29.48807516299893,28.544179787259694,33.173775628094496,35.79898484970966,37.80368105203134,41.48637385183352,45.22160578891804,45.29231098267294,44.55105042524841,41.20384184012872,37.943965209099915,35.474977262969304,31.712116317658996,32.35642994483201,31.38209226220809,35.22503279636114,33.51543130942096,36.93508944451306,40.96707323146162,38.62971705715102,37.364706578263146,35.5200129843133,36.8009770258149,36.34751688927782,41.633625549566226,39.82915414773225,40.860695818991594,45.038770656179764,44.35901948397161,46.91563589421705,45.64793925760575,49.25510404463043,47.90271338201771,42.91843967132165,45.7806263856156,48.549532629027624,47.44137698662183,50.06875453537376,45.04218279845073,48.8363868067881,52.79285382808699,49.62876208532644,48.095624390033315,52.918732289420284,54.050797680399825,50.26966336493263,51.50410583244287,49.40256723319131,51.704609602190914,49.460849791432445,45.405394022969105,43.08109685350274,39.80551135820356,37.92147708576371,35.46583951088052,35.311415776808296,37.950297589118634,39.17577294413485,42.49240721828658,41.13600518661145,47.38241678757653,45.51435826985548,47.90926052247051,46.49503687081864,47.37471056237213,44.58932168793265,43.849707299427564,41.536033796627216,41.244868204903376,38.645528065582226,37.84779876643228,40.63822780375412,40.63666855146657,41.45202631040709,44.05085705938641,42.3099330723586,45.55499834130855,41.928962677549535,39.305144679652464,34.60902663753559,35.03512659618291,30.77097482895411,32.35398271268388,29.24779656570357,29.63151695551226,31.970673335375167,29.787438906116886,32.37612219402493,29.547951518088958,32.6065302723184,27.59774049399908,29.334111046613902,27.8444924314364,23.45711231926932,24.098131501410762,19.399995519629492,21.334965769929287,18.53701188015061,20.38694102622453,22.092622277459647,22.92017001264411,26.802018865366353,27.90424653483062,32.79489634858312,30.599518641183117,28.010431057228107,24.68993900855685,22.47940091763585,19.662801970552863,16.506672593564765,17.94224854820799,15.192975572895602,18.967316194185315,20.867848798742397,25.85865614235624,24.778750171021258,28.829530134421738,30.410179178302368,31.296562205001226,27.935953398928177,24.505099346999277,21.914179202215468,22.40318132107125,22.454990618482547,25.552914589035208,28.343521043970632,33.04832720556793,32.14214627241652,29.34002303442719,32.22247511213341,30.37310085800206,27.2010666831867,25.758927043739774,24.35024694186732,21.284769934825125,21.395329386583338,20.834862445301848,24.25294130288733,23.53543326995853,25.810164094529256,26.679372363472215,25.582122587873137,25.624363094158245,27.512285036856,26.39750822380186,27.098043693621733,30.688284172234706,29.113144932609508,33.38176912983649,33.53955615658861,31.73698701417153,32.484042067257775,34.14880125046786,30.69868814258648,27.998721618350757,27.916569134791608,27.151718941672733,30.515745503575832,31.60563725233881,32.749330861934084,33.32489321472886,32.464681385619826,37.41630118937786,37.0103959631235,37.3128121898258,36.3546182816615,31.377488029440542,35.3250332018764,37.63419032041948,35.535903763732165,39.69814502230039,39.83656160738756,43.7609100240807,41.98484463690725,42.284329847276055,41.49709583187496,38.30353215653317,36.69893267111446,33.89372014428307,33.58764574604003,32.960851444411816,28.031198403955496,28.40472532959202,24.97267833543913,23.747481001463772,25.02791430488427,23.353098758123334,20.013073985073632,20.147321963667608,21.924569373211988,17.804543746257167,14.871028391371297,18.31675046652263,19.559818407655804,13.405465012335771,14.20362422112352,16.9998112446151,14.162302308592897,10.925599553135566,15.121347029213915,15.179253237622639,20.00560679830463,21.051588787186574,21.105052861142905,23.830419323015867,28.725666941045187,31.847007538030567,33.734326439141775,33.93974137180013,33.30055551521823,35.87514740218596,33.79027016968435,37.92181687691382,36.68729819758097,30.83732813368749,33.87484862245519,37.27915771654408,33.24061352471453,31.519388020005362,35.30081384192554,35.32825545415053,31.148254045730873,31.237654125511007,27.142304982226445,29.44470591172258,31.730039216896643,29.996226056759934,32.06077020456942,33.98646572099765,31.899801359864476,28.236333078319102,29.091006939355875,29.63634812800298,25.351339731395054,23.64482697523358,25.16892340002757,23.112508355599722,19.945265070384963,24.16184353676682,24.253440800402633,19.678911880578156,21.01094744015826,24.965574520870373,24.18959875848165,27.364500280961515,26.925866267988248,30.589653694444877,28.665541963139212,23.4973965492926,27.56995662680919,28.83899688939896,25.56971172881031,24.948081061526917,30.750799072959072,29.320010909692527,24.583223503479093,27.636584076658046,31.877528418191766,29.76318542997482,26.254504475145595,21.592980688234398,25.735101547996265,21.93534430025381,21.311286545476314,16.31323229970217,15.58992028907851,10.891333474796454,11.801421791956948,14.233602962588837,17.95753320101089,18.62048956945943,19.41878212733026,16.249166360663345,19.85276879869751,16.644894961762457,13.959479711842643,18.340920068500527,19.377826830168704,19.699864627599386,15.088046479187813,14.221691495597161,16.351688797512566,14.249255241258354,9.558035469798778,12.672225818075075,14.595842104309739,16.05666340540442,17.2876507428977,19.0591801842158],[6.007879821262367,4.772844281777884,6.633361304170685,6.05828567383866,10.365818211194805,6.972570383105186,10.920850930323077,13.499599935944666,13.987333311242292,17.480725569109104,19.999533869706653,21.041253416547843,22.304943315463465,21.935790512073464,26.3056875844747,27.29258569110364,26.89621352844263,31.619509632534427,34.75726152989794,36.500834924030094,40.40746637625319,44.0418827027104,44.42490670781643,44.016104204044424,40.50414456117841,37.248364317958156,34.543114546628075,30.600676889055695,30.732459137414445,29.27012558280019,33.05925300590263,30.920568831160953,34.16166523266569,38.38786999204078,36.185855959207736,35.30305734611299,33.22008662468976,35.10362768040749,34.93578726398364,40.18925049466572,38.761593392598016,39.70309538801166,43.861117024215694,43.513337119233576,46.341876667362776,45.39088408911273,48.95612311444052,47.233447693828765,42.423307767541345,45.408176858542156,47.79324066914711,46.52853320974467,48.94802580955207,43.88590705974488,47.300965010792034,51.436756616974264,48.41126937086539,46.49960092002549,51.25512866865192,52.73161097891914,48.87841117797443,49.8448147895538,47.539633781984165,50.1525466414057,48.090384936813805,43.85020214507838,41.781281718242035,38.254453115001894,36.75309023423674,34.035604954559446,34.221962462862834,36.95045775896934,37.75801962394214,41.172940842160116,39.39056005006276,45.47067991676898,43.61804986365676,45.70395925762402,44.3419767456678,45.363579383871574,42.38243762085364,41.894080346446025,39.33449127117382,39.388406760792876,37.02685503226887,35.919253185738945,38.7988689236457,38.33748059718661,39.45465350113741,41.647752314299645,40.108250266462484,43.348411734620534,39.64798795352375,36.8059633361697,32.19383876087883,32.59644748543017,28.453408234177097,29.55734890424208,26.27835138384631,26.19219568938791,28.889879777081088,26.494545469101496,29.494540144959668,26.653582536813065,30.14998970386419,25.207950070084507,27.005194820507587,25.99621314666389,21.59480378467403,21.680258472060785,17.098272938535885,19.32315871404043,16.428067600300725,19.0128599883046,20.700939928661477,22.17929143752821,25.939647266654717,27.64862140865665,32.28568681075402,29.588564419934126,27.301703233904714,23.804474900621646,22.253352930641864,19.13850372641951,15.547614963058345,17.243856652636918,13.555027370023673,17.690735521482495,19.514814605992793,24.278686338107722,23.92488357827944,27.70949575768576,29.587344974113744,29.87221133172704,27.11088688332895,23.661609643758183,21.822120215200346,22.33062850751754,22.66187938982629,25.32814706207858,28.695007970523193,33.1677325359378,31.79615338461521,28.813055779304786,31.3542320394508,29.049608324663197,25.992837801395943,23.972813722109887,22.246792328511972,18.820886669651873,18.425946687446213,17.472485292522464,20.59788195136415,19.671812134314212,22.173366350476726,23.19972764539987,22.47487081079613,22.53986448319446,24.82795060910884,23.935875434150166,25.367303488322168,28.981530583405185,28.139717370332797,32.1753401518594,32.77590526768049,31.658057318907805,32.28677617815546,34.430281476841486,31.07896922265926,28.349912450158236,27.82197408753008,26.771127129869946,29.558399337422184,30.18441674171685,30.953533470354824,31.090956676686,30.12358970077595,34.915103695104484,34.960535165471356,35.19560215122883,34.77496830025049,29.522482794789166,33.84965722541151,36.446053880639546,34.5093722184433,38.621833702189655,38.742267389573804,42.77444009738725,41.542342491783714,41.792924549201,41.26958527308537,37.793619644521485,36.38682287597928,33.552240353164684,33.15189880185676,32.6219217038209,27.724074957130803,27.80966184383182,24.497299149006547,22.568174739501465,23.892368500808825,21.563088568126613,18.434476361951614,19.347461198616056,20.61828226643852,16.093710032157563,14.50543858656998,17.713254926212084,17.931471636971825,12.152265721465096,13.872310267595765,16.242264629571622,12.682313534371326,10.73320352341545,15.422646348886449,15.875602252568008,20.013585376748306,22.058576062663796,21.334783609062953,23.691975266633595,28.584840412799593,31.670280201924275,33.434229875232155,33.048297456413465,32.33144789998312,34.64384589446905,32.276227228473005,36.66666277325194,35.82157740239792,29.972103311715873,32.78374244822462,36.638759904559784,32.916736961956275,30.990499984844387,34.72505091566506,35.36515424871348,31.34352842404146,31.062397351165956,26.786848466024804,28.282768328051414,30.430646966462874,28.412242936341826,30.01749453634161,31.69863535990737,29.343847497629394,26.061403600872627,26.83001518034254,26.87708589139327,22.601685388292882,21.339223533101094,22.504915858652918,20.175655339882617,17.47287162068453,21.959384355391695,21.737579203348343,17.152125820760123,19.233180842990866,23.23301416651553,22.786100228935002,25.750474318390143,25.15929234297536,29.1279226261725,27.573325450222,22.49760782831696,26.521372733289418,28.278353598701383,25.255621540212974,24.613421912526427,30.502987323775983,29.624716702810815,25.064932615739664,27.878956778359225,32.31707456999677,30.685595647087858,27.338623344057424,22.904592129962612,27.484085145725647,24.095872540137563,23.088663696135953,18.26737512620506,16.57844329152826,11.707186304348092,13.968892407084972,15.949854355158324,19.8112419627903,19.920821815993154,19.851721844187267,16.151253417305057,19.145494544344597,15.703091354728038,12.393793884859901,15.889866401780631,16.706023955102797,16.4380410618831,12.208487329324926,11.453991499138887,12.895334510686189,10.611792559861323,6.189094175090238,9.570679925232454,11.079307033454954,12.663866762074303,14.15888883562423,16.136936719203135],[6.099653156700442,7.057456399208573,10.247109195068989,9.463945406221129,13.987097940331175,9.59879560560314,13.009409811846954,15.069459855513895,14.483718984610727,18.13755617497567,20.06530468450181,21.112281054173653,23.13596043953997,22.29914333373444,26.483749806203168,27.871100671985115,27.863250440892006,32.47931177895637,35.71645395386537,37.77181592310753,41.66848609830427,45.48589127125456,45.91893381541474,45.594584934712586,42.22718143287261,38.715349033248785,36.237166996816185,32.14094448955017,32.026586741202564,30.47746420199204,33.53772229376246,31.71300457384262,34.59211331733984,38.92220574713043,37.11817949781892,36.39872865226482,34.6260491411221,36.76346414239815,36.88435171247725,42.40286496910261,40.94135814499441,41.418641919473174,45.704749722648664,45.51019383964659,48.27133400422254,47.45187367716105,51.12896091051314,49.40205858766208,44.73978027614571,47.96443112614261,50.27731947873962,49.14976350181651,51.39594234651436,46.235154618011784,49.57097625452589,53.61271907587434,50.41879655820176,48.3628988212279,53.112948497435916,54.58156214569352,50.47282283787597,51.135153872103636,48.630071233726795,51.14513894421114,49.32616371467335,45.113124788301405,42.681459543782815,39.02502894346964,37.292078253050775,34.264653620563344,34.36588336049363,36.77698503474789,37.73103910009879,41.46612659607295,39.774353420517016,45.874818448252945,44.458747313554916,46.43169472504205,45.42108830985395,46.786005830304696,43.97604097606794,43.876635785241035,41.43542409285185,41.815118844435695,39.38429549878438,37.93679031771816,40.51570173367677,39.84171136599505,40.66754733841035,42.4860629819577,40.69857315156791,43.595248809505726,39.74349552661781,36.84242043399026,32.268583617696706,32.20804895651921,28.112622794118074,29.639114420730813,26.49643261918881,26.366253745799472,29.7029439483675,27.795277484193665,31.08596907395694,28.74599895054382,32.744803369568196,27.983784523398,30.019107580031868,29.33167754331078,24.997924973377277,24.695413464822604,20.16525549095253,22.11577508056549,18.73683733087231,21.38464187476849,22.301480859481888,23.943763784355568,27.420800309748103,29.252704157499984,33.43976658254287,30.538253192160088,28.123550288556206,24.641901032403005,23.504068935174036,20.667617726051574,17.303436010335687,19.86799508442161,16.58262202669606,20.88771213232222,22.943228479084155,27.56341586588716,27.572069074211036,31.335886884612034,33.16300967528473,33.21236596244161,30.516750690084447,26.87400341025437,25.332867439705232,25.397049789663715,25.330864118451146,27.846597520246416,30.91787237324902,35.331768989028895,33.72732563974737,30.91550107625989,33.50363942551796,30.955727583560783,28.00196256100709,25.84752016482462,24.373728596519403,20.574196282826733,20.37204294851494,18.504833786791046,21.607173741804427,19.698676187558345,22.175128163471744,23.885009470606573,23.429659160595392,24.128138426584965,26.35362380271592,26.227974260504674,27.956730852858072,31.153538749980306,30.625465643094227,34.649170466320044,35.63074025748705,34.57453079780708,35.52066546634528,37.723461687381516,34.516691665471896,31.592590507868863,31.14163044135199,29.81540512858387,32.53313914432063,32.98944194525324,33.47324161679833,33.4637966904714,32.052860400592635,36.95124099533631,37.288010204011826,37.72031776020523,37.581483788100535,32.41847232295074,37.019212693804775,39.72171174644343,37.70202309562861,41.56993247652255,41.39596816857904,45.55707127733038,44.338767209304116,44.86313100978614,44.504448240045114,41.01662360464752,39.8359887943499,37.10167255710227,36.80800743576024,36.393817383798165,31.508987166892467,31.621210643936983,28.340551051734383,26.27474804409339,27.53278914553013,24.98066898858725,22.02681880855499,23.041427677790423,23.99825109311186,19.4164275785511,18.184616119223403,21.044254068876327,20.7281866610165,15.167377059754829,16.767242141067833,18.614393493260643,14.693709984834046,12.928509427498453,17.36624950146178,18.416581675393548,22.109276115313616,24.861233374488375,24.32230981800315,26.359980758605207,31.44925778185135,34.16749404470924,36.24418503291781,35.90448913154308,35.44272214147052,37.79049438383998,35.5102370010175,40.01957434675236,39.183989295196504,33.4717004737387,36.32381126745861,40.251173225170696,36.574843248355435,34.723953392405605,38.48543682415827,39.14498677816938,35.13074552868694,34.92026674658088,30.603043791977008,31.96495706290466,34.02217283271018,31.799867226986454,33.20229318876974,34.571164587601885,32.177400977469,29.202297317754738,29.63841552141673,29.338271897266758,25.277236145409315,24.156979726961136,24.729430278532682,22.140372705472032,19.839598225257745,24.125203912894758,23.34578067661122,18.592030420931607,21.125587288694604,25.058541088671483,25.093741009109927,28.240807602029673,27.973590708226382,32.04506833373547,30.298548028087616,25.53015851053497,29.76448949249269,31.4356577299401,28.403139215656985,28.120832764679626,33.929311289327785,32.9092914708034,28.526765046710857,31.540006960448924,35.832287796577546,34.05823041187276,30.78503053401495,26.316067427045528,30.696845342803318,27.135310631400316,25.907626186564126,21.223869817300834,19.867475268936474,15.031549926331197,17.038975431528073,19.379448045250083,23.22073314822061,23.594514541180757,23.628358792077453,20.03119904812832,22.96665120574924,19.395672985131743,16.08126840916642,19.07984049311184,19.613698419384104,18.818553788843666,15.15385779559143,14.269183421199994,14.736671683331629,12.543448184074173,8.830159511691479,11.169245396351583,11.456393229841492,12.604414739086522,13.770768197750645,16.042821888930963],[6.862146413748128,8.740981892586904,11.484003565248031,13.184289525831801,16.187635848169744,10.984424732568169,14.35103902506819,14.721889292954195,14.938254444228223,19.42204810155818,20.886892479991857,20.724162916290624,23.7116516144063,23.834393530964057,27.257212464205267,28.315318765464802,29.157093209080017,33.78933667619276,37.67247140192652,39.24907498129083,43.399157101906866,46.96472752243854,47.81821455859417,47.91296561118676,44.32897906579492,40.95901351784541,38.14413966867592,33.946448140183726,33.154299008400976,30.875095624162487,33.866044379090425,31.256880831214872,33.73660181671962,38.35592022249698,36.78955079112364,36.74396475817695,34.50830656441621,37.54375382958192,37.99516950656462,43.22714848305788,42.369593594393294,42.90507677270512,47.047116359702905,47.26262356136295,50.37896572479853,49.91399635286649,53.45019221795738,51.267069850011474,46.8180901188079,50.027169616142565,51.84801041313494,50.42835839216244,52.45262860599671,47.36360779758259,50.10570194642585,54.43536226827541,51.573617862693375,49.01807864311546,53.60168764039652,55.60333145127466,51.525500261393155,51.853150804557536,49.09806589610993,52.104417346534866,50.529783124743865,46.083781013141426,44.1555455637894,40.20518804439229,39.10015742200091,35.78016970233878,36.37399023360013,38.85973427941213,39.19617217344148,42.999879134073716,40.678380228936206,46.406854963291025,44.98113962530033,46.41172130750222,45.4387193601332,46.935342103264645,43.76174266874344,43.94490475930943,41.0314612711432,41.836715719885945,39.90899243495333,38.15615692114199,40.96195163526619,39.56738378602693,41.00506227525257,42.146707045337045,40.7963069681618,43.664226506927264,39.748100597687454,36.49708293436455,32.19249579971463,32.06056157080144,28.320212051952957,28.878812652478874,25.468784873852037,24.150498894130095,28.255277251742832,25.73230173535851,29.81189441443749,27.23249126595622,31.667021927252517,27.075388328588833,28.75221630237484,28.67964236620841,24.40998656896949,23.543275760940777,19.68250093195292,22.360783842281197,19.414041067398962,22.944219791094007,24.07577495679062,26.431918180732602,29.714351817452687,32.18605019949863,36.09691496011458,32.66263455449648,30.730651255414205,27.144428355418036,26.741320644474854,23.62699305466263,19.91065188064581,22.240330524932705,17.784351675171884,22.050001191634173,23.54999540518041,27.696445412593437,28.31717076392363,31.48471498883336,33.89136755273275,33.30547337477961,31.59258999523865,28.281526582674893,27.371055443487833,27.896844994810525,28.386120939877433,30.46886269507976,34.2240576238978,38.34805569392116,36.34207366436142,33.30669837152509,35.37678002534828,32.36940445567699,29.636729568345956,26.765019132253805,24.73142915183249,20.6847732360593,19.32255392663922,16.905726760988912,18.78212304147529,16.120347932499364,19.474946010356174,21.626184334396694,22.167119095379608,22.688288180280832,25.740897394388313,25.69873995765366,28.499725764931263,31.85870682368789,32.26593305657513,35.856073623772886,37.18320772744762,36.95117523737737,37.474517695874354,40.114164961469804,36.8971759133034,34.20640982112084,33.222852966965476,31.854710183765693,33.804914513850406,33.69001618912055,33.74975498331381,33.03420520669074,31.726469827022747,36.09551336902081,37.12960479501479,37.276864239382576,37.892120910664325,32.30557719661393,37.14654610902348,40.14425682339881,38.53068183752266,42.47925281736776,42.5075703654714,46.660498663352975,46.19735477994871,46.43960836115311,46.26929457413828,42.48451340716572,41.32332956440625,38.46174812506405,37.85763475426583,37.29494959443594,32.55872745961884,32.051243828940386,28.777606578380013,26.05912307585832,26.80912447473158,23.590878687638334,21.379727239319017,22.831483066551947,22.75184067258186,18.118643867591327,18.665162934852816,20.54156964781235,18.687454066144397,14.324260617919844,16.547011823620814,17.328256847204575,12.840925238009122,13.013363820072696,17.248723582946795,18.963629630433967,21.28723424170444,25.524714922549933,24.188580489620364,25.447081621913092,30.474628726956606,32.82240767065584,34.90919847442455,33.966090351764976,33.692846627221876,35.7986403831748,33.491589278301234,38.2745438043203,37.76395857813293,32.405273360421184,35.12155864912125,39.43736558224201,36.206102735029695,34.40890454826931,38.18533283056435,39.38245968098482,35.642170495482965,35.45964926290818,30.800276451008152,31.395315649247582,32.97378739886222,30.14108568754588,31.000560215484892,31.672113772861202,29.32590200449447,27.00362153713744,26.750973792374584,25.851511929975413,22.29319384480765,21.461981866033156,21.08980540191693,18.20764810690453,16.731413048031612,20.77202410235852,19.32247453836221,14.721652463465775,18.154065703270817,21.863168087569665,22.5709098846594,25.510408393927836,25.438701562807537,29.732048519035725,28.20290584801392,24.021010255441606,28.271087163026138,30.257587060348992,27.59252026339825,27.730007176831368,33.3224789991418,32.795407572240244,28.977621390027448,31.906128838451778,36.08873444144328,34.799412778937786,31.92874340287091,27.879554645664154,32.540808209590956,29.537891393600734,27.573862597373527,23.43447573568804,21.19394555058781,16.646439842063696,19.895796694173647,21.912883764368054,25.760987817356995,25.816336177117435,24.799459857223155,21.33584460473031,23.575951654966953,20.451428177189037,16.238114277965845,17.72944857851137,17.335208485403747,16.079405507715045,13.8467346403875,12.23773104009534,11.132236973018184,10.350743375816227,7.784182331251134,7.957719090139836,6.781613911129028,7.868976180210488,9.299775069883422,11.966029830359147],[6.61565960005264,9.619213365837092,13.330521344428226,15.912393921947874,19.432115461989483,15.010350251832863,18.661048363711956,19.106422420272143,19.435160874878168,23.89491754656166,25.27191614754159,25.031272275857845,28.18915445581946,28.24146486728354,31.625012590058223,32.73964223863948,33.638245285624855,38.254257843869325,42.110863706785274,43.723454057195816,47.85594067488779,51.44051654863884,52.24695278249077,52.30129825706459,48.72524977260675,45.372478428892144,42.56820226024334,38.394846553005934,37.63765914029897,35.32711002837441,38.237496758883445,35.57477017502502,37.90903023168808,42.5816911868837,41.116130901128415,41.17516136545048,38.875615831642165,41.986350616950766,42.407510493659764,47.55744713961012,46.732001810270006,47.36220174625363,51.48122911592089,51.670045296586,54.78114697928656,54.24359719472279,57.76726734761438,55.62586481512664,51.11371034132044,54.214865720077576,56.096466592668165,54.596032266383006,56.688879708429724,51.64865574449188,54.355758774376994,58.75167294970708,55.96461322396411,53.4053613866657,57.96028948058207,60.01494214225993,55.97455711394799,56.29379512088899,53.51340086316639,56.551213681395666,54.998488060958614,50.54885818451905,48.60585267974752,44.64709829218929,43.49009295272906,40.12366213546023,40.660369406817864,43.03016439602026,43.45642961665801,47.340863018477485,45.04384841564439,50.737330646650996,49.39086410056348,50.736362426145746,49.804489824331284,51.316988759996555,48.06560631689673,48.221302487667344,45.17905503098097,45.953824375304265,44.16178224408473,42.469232819228644,45.36374223593015,43.88718105926151,45.42901147950274,46.44314908467164,45.13377796212442,47.91242197456754,43.96328914396996,40.65804281170981,36.434732359368915,36.138396330339525,32.49145622851499,33.033068819800725,29.632540562004383,27.95635679270094,32.355471900582685,29.601186703374687,33.895356883865674,31.08555875945217,35.386866943732976,30.756252464602383,32.00738932665977,31.82572070700494,27.45701748122043,26.85678088316607,23.245552784913436,26.353925438583975,23.68931665774364,27.207971998441725,28.5068267919139,30.751164497355376,34.10796070234376,36.448135740334045,40.445626181895655,37.083857564411275,35.06807187203137,31.498352934418982,30.932586260268234,27.862411839694797,24.176086760877116,26.298803200200627,21.703650949450747,25.839492415774792,27.024354473226257,31.23301165993653,31.44233774789824,34.46663367051486,37.14002191167733,36.75358581145439,35.139369848745154,32.05396822116568,30.729123776358136,31.649410513072056,32.25183909474786,34.54720486394168,38.23269846335974,42.4766003411639,40.6300202442345,37.590788329378164,39.70958535932915,36.786983913844445,34.02021420438492,31.183463663635102,29.051987991746365,25.074273633572922,23.440227615220227,21.09220086744947,22.435619901004213,19.384821880785147,23.13249541588975,25.516184637725683,26.382229134948453,26.77136980874525,30.037570538862838,29.79760568052191,32.653072919477566,36.19124920119291,36.49870826118433,40.107176874503665,41.23176720727825,40.85486161213682,41.172311275331246,43.642538710914614,40.229583770659694,37.738740736860166,36.81116481542328,35.72020678459351,37.771370259693214,37.73815333143738,37.89746116931215,37.10502640157188,35.98007215063812,40.17036816441339,41.27854145180312,41.26472992226977,41.88651165737001,36.14867978635674,40.80058899314236,43.745978710665106,42.28141407095775,46.43854346726341,46.659929276548226,50.75324913894698,50.262369993606356,50.31789201583852,49.97827120882572,46.223752633200405,44.79380169953461,41.79164896039993,40.97701024246914,40.07974621248154,35.347169278395675,34.53172875256633,30.947564813007848,28.47665685159676,28.516898257783097,25.48006841824757,23.67480121311738,24.392754607595986,23.813160871867662,19.5474744286671,20.040652861810546,21.09682154469224,18.90648472523849,14.926892272852129,16.50352755555442,16.498870375206693,12.164490616753715,12.46214553305027,15.858293522443455,18.264941537262413,19.74518568670979,24.86914385956988,23.79682102152894,24.52639853124491,29.728730227637087,31.483576262495536,34.03486499287806,33.43482291835176,33.69968263834235,36.06838327666413,34.298733821353636,39.08131085486146,38.2280404989178,33.28525853378173,36.35125672746381,40.445152653902944,37.17014128548657,35.82318027377612,39.808151933434985,40.63076476639183,36.916995146424966,37.45603672250056,32.51351319026386,33.55531085428772,34.78494284763679,31.54332644900624,32.58822979660841,32.76036069920077,31.00092739471964,28.734885265549448,27.63664351142631,26.940464947908776,23.95764550834653,22.4854571042296,21.518656850053535,18.763212493923437,17.211495347799172,20.428964367589,18.58139629456123,13.942672222466404,17.08011827974616,20.534278586387572,21.68073677557745,24.996811453606774,25.657675922527844,29.788090373295116,27.651058323101225,24.061452097780148,28.692168269957573,30.176567070631883,27.459920376813162,28.38000639820715,33.643426675996345,32.70371950581625,29.35401334520028,32.75456325195031,36.451429040895725,34.898267091063616,32.3086954490261,28.383333747677806,32.705759050123696,29.73667198903351,27.16031762392233,23.56091649938646,21.600124695081103,17.425301357706925,20.662889533756815,23.038494640987892,26.771831788498222,27.320701097817437,26.230741379627037,23.582079613276452,26.08229396366032,23.568034267656795,18.883716148331462,20.485306622189313,19.439123955954468,18.8699889416039,16.998622283392017,14.235708547747235,13.135941914826638,13.995851381407851,10.690949387897406,9.064022656500923,7.935862164242986,8.39942489464122,9.136871593655666,11.40952121656298],[9.29193823578638,12.421742097114263,16.383652524606322,17.649929607792377,21.62276963596292,16.575226488369104,19.750660482304394,20.1964599839533,19.430725136912326,23.681794368137602,24.575852963891396,24.575201305137224,28.137509227029827,27.598019272820064,30.858058467028908,32.387024718075175,33.46028982327907,37.90869199746217,41.70166520951654,43.68339669837863,47.7296745945879,51.52022858734897,52.29878495793251,52.363916041331414,48.98674121330431,45.373270397560155,42.86970157161824,38.59980762327102,37.74819654741113,35.5439933082225,37.73053783256475,35.596844920739066,37.64920534585684,42.29606784889207,41.17973355164873,41.23055797169269,39.38085201746087,42.49444616377641,43.1273789020747,48.60195678959781,47.60301377947084,47.73583282509977,51.99838122605066,52.26063323647522,55.22325357038335,54.7664748248166,58.42353145245541,56.3645091455341,51.981807936088465,55.34743195915271,57.244244557219645,55.96608643829204,57.91324637433084,52.75420749085567,55.52027725583759,59.722835840637956,56.68091606947744,54.09531003340383,58.672092327077515,60.579920703639964,56.27908114912846,56.35960434209539,53.446726700072276,56.25793579937519,54.90723642486279,50.55857755862273,48.16804951138451,44.1727840230694,42.6953925193264,39.12827797681548,39.50345675723701,41.53949974238225,42.18866630353971,46.320873790144496,44.24859994544222,49.989799437884294,49.08594803527843,50.43785911074392,49.859462684799695,51.68305794146708,48.72787283576106,49.21903434951593,46.46063115258632,47.464088284466854,45.45236519652271,43.48639822496311,45.9901624020081,44.49673868666796,45.567655744432415,46.36949251201437,44.71328695789079,47.1383478703507,43.09119142904007,39.84700608139215,35.65511392934958,34.935997959933324,31.33194042669567,32.47640420719869,29.344089665808063,28.006669573612776,32.729935298335725,30.740355437175438,34.994876875319214,32.851130966370505,37.526040329416816,33.06579077992996,34.79161814175905,34.770796562677276,30.48766755372442,29.613116137523683,25.773088953938768,28.27306044967456,25.03108159009382,28.34739275934934,28.895597416022703,31.131056163561297,34.22020006993666,36.55749215726184,40.13138012230367,36.698147322590245,34.52884099874642,31.049587624358992,30.766840791576257,28.019469600538187,24.639004533958026,27.510929468229907,23.57898545686453,27.901747747789074,29.55234519292792,33.75873152601358,34.26342391547965,37.50674277950407,39.87519624186337,39.37262898810587,37.512291409604494,34.0817445891634,32.98094834350025,33.28185351992368,33.390985645197446,35.587378067309345,38.881209796126306,43.07744853381846,41.06220513132601,38.24179446822277,40.48748836917829,37.4355066054525,34.7444988565243,31.96618466682055,30.244552862289982,26.042026075128888,24.986627861870797,21.996273091897265,23.727734785178946,20.05349445098564,23.297528962739516,26.161876517813788,26.953342439155932,28.03054436991118,30.908413509940758,31.427467349069957,34.23453041129765,37.2758263624266,37.67957582489004,41.36179777533644,42.82506456642468,42.356040084548795,43.12824010297275,45.613172415267506,42.39246765023989,39.592258054236794,38.83919861082384,37.41978881688368,39.56559382333774,39.49377509043939,39.460042631867026,38.73487591607431,37.108945386432204,41.55679252494191,42.74952982853479,43.05220624891317,43.75473305988706,38.27250002700021,43.175629298925415,46.16211853062495,44.46132903109908,48.2957002095199,48.121657099559656,52.364281523821646,51.72100728023308,52.16312422100873,51.99447220764219,48.28076340193884,47.150930156304824,44.31856528939335,43.759274150129876,43.134020226160956,38.35393017859895,37.85759303482595,34.412302493016945,31.91029008239764,32.34965131442946,29.260751151246932,27.201586564687688,28.18235902119729,27.88910605684297,23.483169650807817,23.67416822895286,25.148060555139338,23.184702474816785,18.943099163640074,20.464429855879253,20.703636814101163,16.417780615501883,16.177014211731482,19.59337619764548,21.938580777162432,23.73068273341473,28.584917027672418,27.816832477458338,28.692176920567864,33.94402857559715,35.644821421377834,38.28542452104909,37.773290725918244,38.0158912853722,40.35412702287628,38.47601261044356,43.264811369199606,42.47702504680667,37.42119309240269,40.40476253999331,44.53720729310125,41.206828525920194,39.729691456724666,43.64404323729581,44.4901932821758,40.69954731774075,40.99059539245938,36.22337543230753,37.184495756416425,38.60907108311235,35.54061210987054,36.463133222196674,36.726369450486516,34.694339268877116,32.54468169505927,31.69342792973422,30.745005098064212,27.65792489032327,26.5411453100401,25.552546325678712,22.673292369779844,21.377883979427487,24.679988341439074,22.67768010042999,18.131253913056263,21.399133096689006,24.78544484684055,26.020033864018004,29.32821380049988,29.93244401195312,34.09803579171822,31.997460675087485,28.34509951313952,32.939410741532335,34.44715687640455,31.66745988112668,32.44811379113299,37.809475786189466,36.776025507655206,33.246891881853934,36.64061027205341,40.43186038282976,38.7289053897564,35.983184089057524,31.85923655739197,36.06484978235669,32.775621550194835,30.4814421917623,26.64575079193956,25.101763933880214,20.707776069581215,23.38216842964424,25.961194591701197,29.744524571865906,30.38514982021625,29.718614641666072,26.72559584174834,29.310178849331383,26.284154585735543,22.051419697232244,23.7351067534744,23.0543450667959,21.908500332688433,19.927678201359495,17.900698660226546,16.5733375218901,16.36321277558181,13.632561256335222,12.942921853709782,11.1700784152913,11.010353286228392,11.047462630673156,13.494153406667182],[9.200860705316089,11.832399867239912,15.512405077255453,15.721457911693868,19.754141946198498,14.41032495897118,17.286836735659598,18.007936499811052,16.742465720460945,20.77861203364489,21.693611492927747,22.056312722011842,25.4179992756303,24.573988649292552,28.000219742445086,29.661877171304827,30.561429288930416,34.97848063730997,38.635393889393455,40.772766399458575,44.75467091296125,48.624180534857445,49.33419417689549,49.33831529561621,46.04171564002922,42.34357979699135,39.96510674438271,35.68647705263753,34.93907030810646,32.929791885600906,35.030491967650576,33.201191908938675,35.36898239054244,39.9190474120539,38.75876666031356,38.60454997944443,36.975424340435694,39.8530929725082,40.47469543157174,46.105635023992505,44.92703892678541,44.9082675739417,49.23474786021967,49.44138606838864,52.303456771972414,51.830818101273195,55.54602323287765,53.57391266804643,49.20858959157656,52.68508893561166,54.64972033233653,53.515602858070544,55.44429870201014,50.22770518763332,53.14193538525762,57.210199048804064,54.01542545657104,51.53369008254961,56.16271243181967,57.90167675741637,53.52756975308723,53.64388626241248,50.775694695126184,53.42118276362455,52.04226293480002,47.76564527931574,45.19270249975722,41.258006882699775,39.60890356320282,36.087016631396736,36.354359982953255,38.372413809549776,39.15440806399857,43.28277978945962,41.37487995982285,47.23075867509013,46.36331450119217,47.88341232335731,47.33474849124985,49.17320898748443,46.39550122027871,46.90144515685115,44.36716589411776,45.33836508435913,43.11118570702085,41.12807275060237,43.46101636575125,42.16512374255756,42.961084211897976,43.941684263495546,42.10370266414014,44.51996404536647,40.48423261415212,37.35767632265904,33.059409334127984,32.36149881119134,28.619972513845234,30.121926054283833,27.0929118869558,26.284190542941282,30.736212549568275,29.142945607403835,33.1013988990489,31.250500952162074,35.9574787673258,31.518971538451147,33.60411741037617,33.538936008650715,29.31631751059892,28.380249285033806,24.26771274176409,26.28803871614395,22.722330668984092,25.80899002446603,26.05629748151184,28.200025360289022,31.22178833230446,33.496175976157126,36.987098636780416,33.608771658024786,31.3503371887553,27.90511328649231,27.62830221021884,24.995706669309854,21.758175747975574,24.9424169470324,21.476642564761047,25.872204282310108,27.862198360012908,32.11028766349645,32.74931928651758,36.20438660383917,38.2702394081743,37.77463332703026,35.63423374122863,31.975270713485934,31.01078988853262,30.903382803296296,30.74511424497996,32.88503923747119,35.9897909026146,40.161473690700234,38.110273583447686,35.38907014139765,37.73459847419192,34.711602566628414,32.01546250935059,29.384435929759057,27.917472156695386,23.697707321420374,23.13914802674036,20.10714268928246,22.44268179427693,19.034839566915053,21.78134798315487,24.512753203271867,24.899657078584813,26.213848998723346,28.727121068778374,29.475678452995616,32.01844631707587,34.828892688219646,35.11277867947447,38.87712640284343,40.43012824262843,39.859380219822754,40.906686929802646,43.38926135211828,40.3167164192245,37.32041462643989,36.67767754785452,35.06686339073655,37.321810958688246,37.315514145975065,37.281548927974484,36.75640132731435,34.92648218465219,39.61874988366144,40.63638782947251,41.137283904736826,41.68900853365043,36.43268881516012,41.413504889387134,44.367747375402494,42.47275989211305,46.116861858537526,45.73312898284464,50.0196118154909,49.212804210590264,49.878217999176556,49.79592450558594,46.13940645718279,45.20158286754684,42.501031334560864,42.15652854758221,41.77805854521952,36.96721173213686,36.795020072946436,33.53282528641961,31.032067466118924,31.97338986598105,28.917171583694003,26.487201379925605,27.773079596072627,27.95351141368501,23.351887361823202,23.206474774217444,25.302191956507304,23.800807294070683,19.091095735548343,20.810501679408144,21.647177088016704,17.3153066746925,16.629611008143446,20.551109509889457,22.454293600955147,24.971035448789365,29.10815405791025,28.38004629061701,29.69678501768205,34.91021076876024,37.01294494266144,39.422868755971336,38.85486026850471,38.77783974161252,41.035060667605066,38.864826602820315,43.61108268184269,42.94030251753973,37.57194880327572,40.400728823129754,44.57989803120094,41.172128732170535,39.435262697182125,43.2290057899923,44.16750674836596,40.299243176646634,40.181305583028596,35.65174527645155,36.52321942177809,38.247652316334495,35.525393852200075,36.452934242574,37.1251369767955,34.75079970859237,32.448778368025344,32.18787667403685,31.236166619733275,27.731079152491894,26.9014842579117,26.393036635600073,23.48007858725487,22.05469189435901,25.853431163430137,24.16306458805413,19.522056979551806,22.8177268768672,26.432437581266036,27.32007678682763,30.51050162748719,30.70216227211015,34.932304112912696,33.0892667491868,28.987296923446348,33.40929395358206,35.118522146500624,32.27321121550696,32.56492528561872,38.16150990198688,37.23190958693829,33.320831183175436,36.49481783911495,40.57301135795634,38.8935424262745,35.89906186208875,31.60164609188503,35.919735512678514,32.46838827822378,30.65655050473072,26.40814274172583,24.931338461963296,20.26891852524559,22.65972331285549,25.14819977419105,28.988243250700304,29.452310034340506,29.075537823030558,25.618181452150523,28.208376776110835,24.73709737074635,20.987006032000945,22.903612839170236,22.756442669692923,21.299196327303125,18.87542181102742,17.598528018148635,16.539557021095273,15.1859864842173,12.687559424837605,13.193854467330699,11.629962332160916,11.779720534054618,12.225228416750278,14.772783437829526],[11.922206493239386,14.540193326103696,18.427478508146663,17.677006490763468,22.18430252886678,16.975143094466137,19.482886047312093,20.518848969249202,18.43991762244352,21.963054204632986,22.571006504337802,23.40510212436885,26.769918453575645,25.232543320224796,28.682323390277165,30.73323780742771,31.540787170732802,35.75841375702091,39.142506507457476,41.68070712189972,45.49044656233196,49.558821307445434,50.12140105534737,50.01182458494971,46.951935439925506,43.05041027682357,41.01499472014606,36.74313150021332,36.11607055298836,34.39265792709414,35.93246645196333,34.71639696473978,36.73309259984516,41.15409086979062,40.214181720018004,39.897106057291396,38.7153866737834,41.35091511380113,42.0282488152314,47.9010774515161,46.458357113583276,46.082535206045186,50.51905842313713,50.660240614857784,53.29589848648666,52.77334200248034,56.600450626322825,54.835198223432535,50.52126855517898,54.150882462943265,56.258415580701495,55.35537107917649,57.24088540563766,51.959731368526484,55.048888628384574,58.89981005006563,55.46002583141402,53.104193732864786,57.76608900283709,59.25672743898446,54.7108724486754,54.73753270696416,51.85128872473709,54.180992578416365,52.899669533871474,48.788989322807566,45.7527723441091,41.90254093645317,39.83090689868525,36.2569136972678,36.237257706396576,37.90960896257532,39.067783604,43.35885264808229,41.82954297207505,47.77710062093862,47.271090457045105,48.91999337765494,48.63366865794848,50.65565588892901,48.18795593230869,48.84798446062919,46.61840725617154,47.62614516993634,45.158179477990224,43.09394898716067,45.09272310182498,43.964769273159824,44.27652409072229,45.251897845110534,43.05913446631439,45.17808179855767,41.111226623609944,38.14798334544055,33.862675949664556,32.83076834442666,29.09224253473557,31.306969417727704,28.59574782543479,28.2810821662212,32.7428881940999,31.77304913362416,35.52119404226975,34.114350130032065,38.89614684779596,34.541789932486545,36.89323856007692,36.76841474568007,32.58555599301778,31.6701224034117,27.36882191845382,28.936729399371643,25.035632079897024,27.72840087256709,27.419250769911336,29.31571001538321,32.14072107742129,34.18313580865939,37.382664687543524,34.148647718709086,31.655857769313943,28.381594306988116,28.116633313534475,25.886922297608688,23.072235734265696,26.711545871233355,23.975556229135556,28.384279859844163,30.683696115599346,35.00384274470545,35.60476028126433,39.27223931096405,41.06239910175443,40.681522021819546,38.19611190118737,34.3233114491809,33.2935381219743,32.75151636867739,32.142032013368414,34.318288246411186,36.901482988096355,41.08451875547493,39.064475017275456,36.59871381450657,39.15099551877777,36.20102834286908,33.53612337557939,31.16704976664568,30.113546708192363,25.888884490265117,25.90422335900213,22.67695309576616,25.381610107203752,21.786283396189756,24.033074331799984,26.948001019996827,27.09855427009128,28.841687784395052,30.920146803761245,32.09222470826091,34.342547036667426,36.78259280826337,36.88343494663693,40.76704475140618,42.412157757779624,41.552800232083285,42.97022978363865,45.29984090786521,42.34741770502758,39.15611822835444,38.7774128579293,37.02798033288896,39.52520372660291,39.64404536234961,39.60250794341184,39.2800976685137,37.14411539684018,42.06489181532857,42.975509856831216,43.721309892354135,44.139534730789585,39.15874985319125,44.17984847077732,47.06624737852618,44.958514075688896,48.38510519300497,47.71996528373031,52.066295568084044,50.96114335631244,51.93158403504332,51.88452442872054,48.363466925088424,47.57360454119171,45.00274013608604,44.856083101148016,44.619794181259515,39.76991309056078,39.86971139266108,36.642580310259056,34.32463088468089,35.450615292174355,32.54015775047382,29.9098826631683,31.10024110002936,31.539808717951082,26.943533426914154,26.306945124051296,28.62820676589731,27.471274442399544,22.483252888987572,23.93086311814086,24.925009644159125,20.7432673404857,19.516873784509688,23.253411700937885,25.122445522998586,27.888465965060405,31.737504308414945,31.409271195443047,32.85895674742206,38.14950036081812,40.18938466755512,42.75467810554804,42.436558655154066,42.41300544794515,44.76980264720978,42.64443905872591,47.340997405092274,46.56189249891926,41.128437603307674,44.01389974194415,48.08418173725336,44.531620313866554,42.801324744289495,46.594648884052695,47.34112693927743,43.37074150407235,43.25785446943331,38.8528271116353,39.93523095070674,41.80847923533052,39.234231723008214,40.25188349040649,41.03694737522489,38.612265985221036,36.231686261533156,36.08914142026717,35.17741872249368,31.604810137808617,30.764152118955934,30.33227258936311,27.427437252844292,25.922364747502762,29.691091329221717,27.992788253183136,23.315055935613827,26.4495073237054,30.054247599882082,30.923384159714924,34.24370460862549,34.50716140916,38.68988377699657,36.69033282390325,32.53606070286487,37.02252552846307,38.575125415575,35.599219532169435,35.88615533565981,41.51735197864021,40.33158752558526,36.29994402746353,39.5815877887396,43.629338311160666,41.68807684363428,38.58281644469753,34.12959214663611,38.20476346318245,34.46980940099324,32.87376624637499,28.537326510565467,27.570209178719708,22.88644958325667,24.657223303050113,27.365113828613953,31.14263259074343,31.83704679084323,31.91622522787455,28.4469464445438,31.248495716898734,27.550500896231146,24.180383836201464,26.418960118345957,26.504103261434956,24.978046231290286,22.317346299295117,21.293165572607357,20.403838493859837,18.637672819555107,16.151306052758382,17.00770760082308,15.49693322713219,15.56320169927405,15.740466934277299,18.11349938400959],[13.913172566292406,15.745597127449418,18.915754526637038,16.936724446965403,21.12929736978209,15.770617968943943,17.49556701493478,18.71573408235016,15.835932806673604,18.77596211598875,19.211713634412806,20.558856464768333,23.657973381175097,21.62079170157118,25.147450033511888,27.4215394277243,28.063210957771336,32.129853545282295,35.32599581434404,38.083111775515114,41.77259903882271,45.94618476052381,46.424410881289695,46.28267564614596,43.36837213063554,39.355136814170876,37.53919912960095,33.285962422274345,32.73599878131114,31.280263716973906,32.522019429764576,31.800772368378816,33.86376576379325,38.099391667476254,37.188290269119264,36.64220812344323,35.826976142557015,38.17799845182587,38.900950076791844,44.94947092888343,43.31681536143165,42.64613802352573,47.14034074892201,47.26839480097842,49.76812963713957,49.28696474547807,53.17227114734769,51.489477181907205,47.286524318025094,51.07069285036925,53.19298969827572,52.48254174164791,54.27600357862639,48.95442144646777,52.158816736110964,55.804590502949125,52.18278826791204,49.93265432682109,54.61122496166603,55.89954594241661,51.24737563574226,51.25204014600936,48.40479121870275,50.50611032106181,49.245443140310755,45.25671814502397,41.95650048784833,38.189017605372975,35.88877252646235,32.346028549797744,32.17942446151274,33.76350669763397,35.08944251299063,39.39236107222263,38.09466787688004,44.136384397144575,43.75693241947874,45.58167348198844,45.39845342398604,47.485281320356606,45.289415076250414,46.03054602106974,44.1297075978264,45.154184396648134,42.46036404406731,40.32065124511264,42.01661355485614,41.1070288637276,41.00992239267976,42.1308109130316,39.685076740864034,41.7144059731048,37.68213331898898,34.90307014071922,30.55438346763104,29.487848018751105,25.646980892009097,28.394130788269994,25.939135782155333,26.3569232651668,30.42423687851128,30.097225952164628,33.40751806079622,32.51248551529698,37.30877566531456,33.143115607435526,35.93712279960797,35.84318976664802,31.863246854372566,30.802533061651957,26.3349882195402,27.173072032843475,22.918307604309913,25.207021236287268,24.31288459426789,26.08389599612634,28.664986967890982,30.6466235467738,33.55942533997712,30.378614357919158,27.799353137747065,24.641787983626195,24.53920250470346,22.602229513952498,20.167402687876937,24.27865401385523,22.356918000971685,26.69672533256919,29.393563302629197,33.5958774657058,34.470408909035115,38.30543599465837,39.68217491927843,39.227055866727895,36.48428335209527,32.3672203663365,31.66031564587277,30.503116252162357,29.49191964991763,31.470563347071135,33.73640957423266,37.78107508135486,35.65508528467987,33.3878280556546,36.00781809591655,33.07840408261793,30.495739079725873,28.338774633351676,27.71342114356238,23.554647252279054,24.276632933146644,21.00201273295439,24.336161002477837,21.10971415830345,22.558090870252308,25.279684264313538,24.93055792619607,27.048256848608172,28.55018457016874,30.14737914023939,32.06700479853666,34.05530505716043,34.098936401488906,38.00147804229485,39.850377932843806,38.937789735705344,40.74227233780181,43.095572964541134,40.42021146568784,36.984126451791504,36.728178137515485,34.68252339537138,37.21443576500957,37.35425120652258,37.23607309048221,37.13417124705587,34.68748674626571,39.844676471474955,40.58533530831604,41.612428521297495,41.914555369209545,37.31680502040548,42.418086598223105,45.25799309549142,42.92329107060355,46.003221599102844,45.01228554628435,49.417832029484835,48.15842566885178,49.450813084998934,49.57099436826248,46.12993517460626,45.662763941919565,43.31912311624326,43.464036522134045,43.5817449854911,38.784080510194045,39.27803689988105,36.36794152656423,34.02307899497495,35.74406314690785,32.85900868930435,29.899816234970576,31.510613424098548,32.42033324347882,27.704217137167902,26.855966239446524,29.775808403291812,29.014180045849727,23.786097737907664,25.46921004361783,26.9850306450425,22.814353842824335,21.36907085693284,25.50536371122772,26.901686755844594,30.275563414880544,33.3982786941119,33.03201324830201,34.884906569981524,40.05691012230354,42.49988030565091,44.77372634826148,44.313944505340075,43.921488557323464,46.11938811441408,43.64624335320685,48.272526055404185,47.69740710062095,41.97149389623674,44.59911642091928,48.73825781848961,45.178233012112145,43.13283320925886,46.717438410064915,47.64760978093642,43.65456168779241,42.98248519805833,38.93406555784911,39.78247755604748,41.967788729314115,39.81281672015456,40.74281504782769,41.946779291447804,39.119439099954455,36.68273166342144,37.194820167071526,36.20248804016615,32.26542656508916,31.842106557405778,31.85494528855271,28.937502620656964,27.442710267056295,31.644943571164845,30.22175201881716,25.565592422426718,28.77884192055069,32.542250514953345,33.10876264720857,36.220507676085816,36.02112426178329,40.25265273147738,38.61710794375697,34.06613807228066,38.270017127362195,40.09080629991501,37.12087231408127,36.847277964772424,42.66957632178459,41.69101778404703,37.30128512149873,40.23951157580813,44.59886097579646,42.7677991305009,39.428558180204625,34.86830806129128,39.05329174961624,35.22114775854851,34.19902028832255,29.486754292795528,28.54054272268045,23.711885295829656,25.15913717085594,27.625190903452697,31.37827396801633,31.785884294343603,32.150489994386,28.158367516706313,30.8101350331534,26.635808646109282,24.005836381047388,26.28882644177861,26.95497214954423,25.04126042506489,22.090391130301683,22.017855866179666,21.308393058897664,18.402249851072742,16.583850442956404,18.513282880485605,17.105167286784877,17.35079722197082,17.757472864886896,20.08262630403885],[12.406332476054223,13.607859601269556,16.281472656496554,13.884205519795778,17.930358735554066,12.694886972347422,14.423669404450344,16.05298308746195,13.394432401174408,16.338444965619082,17.285061665293696,18.85188419601445,21.42398820134485,19.527400909756988,23.430260078003265,25.506037175830915,25.809449935530484,30.050767607401802,33.1933779164627,35.81939727039932,39.549176802133026,43.66569774471146,44.089494191002814,43.866821296831866,40.84382794878033,36.93142901008547,34.971789007210624,30.74891157666615,30.39503630198273,29.038063775665076,30.826512951441536,29.945062445731065,32.36463405500157,36.56133461308705,35.317391091426096,34.57660048255431,33.59805276632219,35.73182304575019,36.26687063088357,42.25235122872833,40.574534738189186,40.15756306689447,44.62872656208527,44.63637840275205,47.17424075836841,46.59557953445539,50.45005752563552,48.7823253354059,44.45911752137576,48.143595358655276,50.342307355283594,49.58225471860348,51.490281937251055,46.18657784187417,49.50681758780223,53.198680784155776,49.62513728301474,47.4900204921923,52.21926836725586,53.47313118909568,48.949515536799545,49.18635255329253,46.47672434394926,48.62486395605154,47.159562308249505,43.13158067686052,40.00703687461172,36.30201040952093,34.08856762931006,30.738011440169785,30.602715887367175,32.4938063508041,33.76095100670671,37.867839272719856,36.52625002213017,42.67118237218824,41.95407498882334,43.93680272877448,43.49242225740676,45.35244060504345,43.06537700244469,43.548996165585784,41.62231291639333,42.43420884437783,39.69999133487803,37.75281054705279,39.61345101270874,38.90280508139813,38.927885821506386,40.397284141179746,38.056718289460925,40.388445929649514,36.426523663326805,33.68336829997696,29.178515079986273,28.497449119481107,24.457589548146462,27.032350971191182,24.42465725533159,25.050276189391226,28.65176867953941,28.103759841704296,31.184160193784024,30.064751610503325,34.62030656745475,30.34861486080436,33.14989389119601,32.88895006487554,28.91314879619381,27.998735269352256,23.411429639255083,24.17801976939959,19.956730528920165,22.159135638089193,21.538761339124104,23.226886712452433,26.032080940614687,27.959094907455956,31.219272848115306,28.133630659449338,25.541907996216338,22.269950080546458,21.873259460151935,19.728936917678666,17.128640569646926,21.08578040242498,19.196337030797668,23.51397478707923,26.252059627289956,30.52269553850958,31.289951614793235,35.19296071516528,36.48812948846175,36.145920682656964,33.27733438000484,29.16116335343515,28.383223843223305,27.25830609361032,26.32718394579334,28.384915905300257,30.786946138264597,34.91305949865634,32.88991479418325,30.513243061884197,33.175940788238606,30.36537915392657,27.67187810180116,25.608749778252378,24.924546409206442,20.87750345259266,21.710252084491316,18.848957024858393,22.505207670103427,19.919870433535863,21.31651593934953,23.5794416460165,22.89977404530511,24.746762962199124,26.18886164780393,27.441076235629772,29.12495287403415,31.290519608179107,31.1096515368625,35.088027687893224,36.76594198554196,35.78184907335169,37.516207914487374,39.84986890607254,37.146554974436015,33.730939519214786,33.4691579540447,31.479961630394218,34.097138143447665,34.35050996645491,34.39180103671671,34.44116310160211,32.17052327772596,37.39391107660603,37.90435050458549,38.88247935944895,38.974706063947814,34.37881746303026,39.37594942472367,42.15398864901599,39.79676265913734,42.96280089246098,42.073672599722386,46.442496544036786,45.118597104885595,46.322387832523326,46.374174065863265,42.94737217896837,42.41976902287446,40.06770683149251,40.228560005855904,40.37144575359934,35.577167520944485,36.16575989416599,33.32621448151482,31.04601122655761,32.952495630604886,30.182865322876342,27.05911603198544,28.73558768258308,29.90250736246186,25.187506898572888,24.14634653314741,27.3472571779281,26.909801947927317,21.528414447804334,23.309020722649112,25.16149008576041,21.096067298989855,19.501727275932943,23.876965655632592,24.929165902440413,28.663677745641507,31.302947637422726,30.853462907054567,32.95145787049204,38.00974509720982,40.73659807758517,42.78695630143866,42.27985679655091,41.67264489900185,43.82063127034839,41.225834681708875,45.769143846161754,45.22958371342158,39.37066772112901,41.916597217421625,46.023242541519245,42.439217155103705,40.28587693252792,43.801061824460504,44.75628095475712,40.759140360186045,39.918308024164816,35.99126684806444,36.85229260821017,39.160893268047,37.21438062598763,38.233781234066996,39.70773320062475,36.80284764721775,34.179576443767154,35.016986208451776,34.19018663776138,30.031070948713577,29.632684566189855,30.040267633309877,27.219917188913623,25.515081789948237,29.946144608735384,28.8515801369087,24.199639402973915,27.257121115449817,31.13021054658285,31.391625173536713,34.38700144912027,33.92394427443127,38.11991950868125,36.65519851318339,31.858219763436782,35.89656208324822,37.81534802570328,34.84973562544743,34.2748294880783,40.17002587122141,39.30467972737531,34.74970004747046,37.50560335808732,42.000004757016285,40.26322070682429,36.835266812123166,32.27099464095645,36.56604970477556,32.789099615370525,32.010564259360166,27.134196976596925,26.071565727272727,21.210516788402796,22.634329679422727,24.901734694608194,28.6491314572237,28.871565356257616,29.280028012744268,25.118941048417966,27.745183616906193,23.48046682382037,21.093558401009787,23.576580982604693,24.52447779810941,22.718864309768218,19.411516956806835,19.665876141736074,19.362352219520783,16.01504228010783,14.137267465674517,16.72498186655912,15.795448302237988,16.35678286124453,17.085453495390475,19.404203294036435],[16.00588628939129,16.563417723967383,18.520375424672192,14.836616539809697,18.447879057494884,13.719214143543368,14.331888625613352,16.34814730224692,12.819953088647733,14.530765511048585,15.326833978137989,17.763765611335813,19.672388821959782,16.928406773876258,21.032463910308493,23.41908456707144,23.308182495850804,27.290562673361382,30.00822481069714,33.00636229344479,36.50735926131723,40.78265105260444,41.0175681428204,40.655917645753235,37.87588757531416,33.80898439298756,32.216713987837984,28.079985653132212,27.984844868658012,27.13298151638238,28.540335774388886,28.420134948744835,30.91017036665653,34.78155676382602,33.553483068898174,32.42897714836963,31.982609229424078,33.58137623437785,34.094342569241746,40.28482847562208,38.27528701316171,37.50444400731253,42.04838566381611,41.94757055570118,44.229608135234585,43.6150819521251,47.55615617262678,46.100040711984875,41.875635072713486,45.71952839211328,48.03638562391223,47.56047857149094,49.405000139199956,44.0716463216471,47.62077451941619,51.00853342065348,47.178512075825566,45.27401608755106,50.030583576618746,50.943991281799434,46.309894550547305,46.58218065727166,43.977334789437116,45.746824741733725,44.26828805892608,40.45540555762685,36.91828853637939,33.40413630677874,30.768148121754535,27.550121908120836,27.09455959728811,28.822437442868285,30.46252840253848,34.550518057597486,33.65085822056855,39.9370247487924,39.389489453281264,41.66094254913598,41.34054319986346,43.24171415575198,41.34913208676348,41.873418493228364,40.40729533752132,41.15369110751046,38.09876524093533,36.150807458090384,37.60398034421042,37.282291808968104,36.72164618381129,38.46357653450089,35.768826692157546,37.96499044279537,34.09324317120419,31.670484242245326,27.120630901705937,26.413847145353383,22.275864361713904,25.62495656723281,23.443846378102727,25.03614922884451,27.997594670228455,28.23829107997696,30.668945431382653,30.145390213143802,34.55529909985619,30.5291718684771,33.75451535739449,33.429624769476064,29.73264181799881,28.796320457493756,24.104504487506947,23.967025382861667,19.451271581016616,20.88868813417037,19.49738330045288,20.789341798264886,23.274152511154462,24.921736499657253,27.8555202723333,25.005568321529044,22.185745592468688,19.145659575595268,18.761162550201437,17.16769132943421,15.310239774375072,19.77801953809038,19.200731412868787,23.237141276673146,26.39657158287265,30.510337965086887,31.418787983867006,35.50856561571918,36.269330493270644,35.97975890112846,32.71437744061732,28.362289442494713,27.817571487528348,25.93686696985108,24.41124081946891,26.297148518490722,28.091255046491543,32.08880236587893,30.0560789655807,28.00699941487731,30.848154745657148,28.20446133751041,25.604112808575028,24.005961169628517,23.959542997867533,20.189116100246363,21.965948356739414,19.293553295199853,23.55563828350851,21.511894263447207,21.981252471687505,23.896505961772682,22.564695610146565,24.770646031110463,25.405504627514652,27.070196491395368,28.15254591019979,29.733583106190427,29.286846518252695,33.324484656573446,35.13297562707713,33.91377719069104,36.15001484367876,38.37720558441811,36.00642683504969,32.32868686798485,32.33028071970546,30.06152429605714,32.84121113686892,33.23077510803846,33.27196959823655,33.68848023527685,31.102799668825952,36.58969432714165,36.7894888231335,38.10383125240043,37.93311959576309,33.88793178304406,38.844984662252465,41.484428262005494,38.844502483328036,41.59475572844878,40.32118137578972,44.71241765405306,43.06833518955998,44.6759771012405,44.86149552948755,41.6185728822831,41.425933734533054,39.36134993139709,39.8736893150589,40.38575613180882,35.695017516842334,36.76138524428136,34.26712248042396,32.13219793368867,34.588318296595595,32.00542803135263,28.583408942148697,30.493242685230474,32.15905256903754,27.494140538386304,26.067591361133392,29.76295345189739,29.830756384345023,24.3103778532394,26.091641638072314,28.36499972185957,24.499396617905475,22.60055390542232,27.05632891818702,27.681698619638436,31.907871040221043,33.76736444171373,33.451361952172036,35.904477591036475,40.81321911020123,43.83625110747887,45.66951230405798,45.16747207660264,44.27359384635676,46.3172824687106,43.4909057663866,47.88411751556894,47.45641664945506,41.388290889849834,43.71452813342314,47.75948576509702,44.13744407055823,41.74850832733319,45.034205236584185,46.03242287945441,42.021536578255876,40.71002863583325,37.228251784633855,38.003271979494386,40.621212672663646,39.14762045597355,40.16003315914638,42.04353721725343,38.852247265118095,36.13870413013309,37.56898404387962,36.767118551041584,32.34298692885939,32.23882790967869,33.069445917732814,30.323601465118383,28.579595860184458,33.237400588175966,32.405478896248795,27.83159146742569,30.78712973305819,34.722023353351695,34.709271407036475,37.551777689417115,36.74894948012077,40.88886505381559,39.667565558115705,34.58823140791264,38.34657226394069,40.381730511243816,37.40919762749061,36.361460072110255,42.33665201351743,41.549364039292406,36.705958435856736,39.15640397886048,43.83976601033056,42.11694913910693,38.49077233852982,33.86301092077516,38.073468551879216,34.18123993089058,34.01579049203486,28.906657238115876,28.08830582438647,23.295376939366378,24.13081810625238,26.16406117546507,29.736340838219412,29.78090709455365,30.632549541325872,26.145016093187504,28.66137007918936,24.028353503146636,22.602141623128727,25.22210653898937,26.734926651778906,24.734008641635207,21.16692078237091,22.25612185192663,22.248531814100208,18.08558314652073,16.789064026682073,20.09577327737987,19.378070392382618,20.009600722319497,20.782784860234283,22.94358902945966],[17.28858378443676,17.290750806061702,18.877293986837014,14.233228438108874,17.951515761732338,14.41923861615125,14.78582854190257,17.623475038816906,14.28045978356858,15.082767735517004,16.350664981069652,19.436516452675075,20.30046839566701,17.10810292166483,21.65635367168251,24.03468350809528,23.15486550295259,27.018311573212515,29.12005987498451,32.343786503921166,35.59692835440703,39.944711739308104,39.8561176598633,39.15516316422949,36.534245243812535,32.48013302074283,31.12360783486676,27.201290591450714,27.700808095708293,27.43345487106343,29.096703076584866,29.388779032236215,32.1948102826464,35.76373790640228,34.262815779943715,32.657621232106145,32.428357316363744,33.302609336399,33.48872389791464,39.69491640819594,37.30305897716254,36.626332023609955,41.17581178368207,40.73488494004632,42.74738744107572,41.84078699855016,45.82374129870249,44.7145378414818,40.34596541727549,44.10317290525927,46.760240205263415,46.460947933120536,48.48256224409917,43.187000117412424,47.11804324182558,50.30520818429566,46.33431681153024,44.836466750832805,49.657644363422094,50.20444389432134,45.67079805443434,46.27050815001555,43.93411808665405,45.37505981317963,43.65736320829892,40.048316834772315,36.30993531653305,33.119119756885105,30.119639642478493,27.31941517007147,26.492034945829705,28.232705678969314,30.298151248642625,34.13896833221309,33.70258961646967,40.14523641118176,39.45579626022313,42.10341870438009,41.63702087655462,43.3081173286981,41.62175738072476,41.834548913159836,40.6511189876776,41.02324983228298,37.70861926133016,36.09644638732437,37.46117440874846,37.686427360239094,36.83047382399069,39.12241791919651,36.27673794484339,38.58165970045973,34.883269117753464,32.770999777338915,28.153639729365104,27.705141129818568,23.465608377617063,27.143935928436825,25.143010204411738,27.29140798303105,29.544744929638618,29.897716649332715,31.771264698569944,31.21628374737457,35.145457622626274,31.07598109853762,34.3383669415175,33.627449204452766,30.00349975915925,29.462867478421686,24.624233383333795,24.122540620684152,19.706647476305644,20.39312776635315,19.011574774221486,19.5853062389484,22.16196793479769,23.172968772357617,26.369400598300103,24.102688221826046,20.97090109733233,18.151859022942098,17.002588390303178,15.781880507616224,14.478908433212593,18.74358423214217,19.113694868710915,22.826394581662107,26.137696779125385,30.365875495443387,30.841951648519206,35.15275963446664,35.548575031079594,35.68511311899292,31.89590252160701,27.502442162047483,26.570068306033498,24.422955342403014,22.528569265088535,24.66990021201749,25.877570701679748,30.030098213072478,28.394649848835755,26.548103755815045,29.709638684806432,27.539164104566066,24.841110010352782,23.8774341797664,24.164366019295493,20.85371885965204,23.127567625745016,21.12645555757731,25.72266202431292,24.327437982699422,24.569864198837177,25.985538365114408,24.136566166322083,26.125493842230863,26.31530560079321,27.64573566324483,27.958686698269226,29.468654523578685,28.306384453777156,32.54304936016361,33.99445641624973,32.21156138281233,34.66370455449773,36.5393370737468,34.23047696991389,30.49062687615217,30.859312061817327,28.70430274104818,31.93852676360174,32.72896123657168,33.10868392431268,33.99111268840182,31.536562378041925,37.184098578194195,36.87258399718494,38.278349248045465,37.57230492269519,33.86079773481888,38.49783447926796,40.88258407744381,38.05417235782903,40.74867206730628,39.42728068191293,43.72186025705078,41.581140689184785,43.309309987605694,43.336780187939894,40.34987232113484,40.11639628788742,38.167222848699396,38.856487983968755,39.443202293656775,34.788451404595186,36.19855312368959,33.79201197547402,32.088628691250854,34.74967149491735,32.590516243687965,28.913215427568378,30.547576562727272,32.685627838079455,28.2083624678829,26.045683515485283,30.070822973539244,30.841618133430128,25.055684267274614,26.536859991567717,29.206036404602205,25.71672054689343,23.247107411327523,27.580271382628652,27.79595885487938,32.51444785855409,33.51775378438378,33.54262660900176,36.33549968428658,41.12881390428391,44.35275557213712,46.08889328034096,45.85991867770362,44.837706264785865,46.96428573519386,44.17115812623365,48.353318104219824,47.76786890367564,41.59377534226218,43.935374787222706,47.70740256949379,43.911769022699644,41.51672608017627,44.718989312900156,45.41814335641975,41.34021559979563,39.997500704802626,36.815989136355746,37.979639050271075,40.80735631697215,39.69838452571229,40.99749741519579,43.23599541525706,40.09097786701699,37.04843022568532,38.8069320938725,38.359002086301324,33.749828410714585,33.469800749996914,34.761553263179,32.20208553603256,30.08709705398256,34.79715400333909,34.32322804366423,29.73526406821332,32.2648704011691,36.254320731557684,35.8920724820802,38.752208850552016,37.82634979562771,41.792883039679964,40.52583185728209,35.23030732001509,38.86203096481693,40.734192432051806,37.65921308529374,36.36165039458856,42.32232978300051,41.34630932460488,36.301569626541365,38.66596958904823,43.33990731336633,41.44011315868381,37.6722818273295,32.98242271268667,36.937436713952884,32.896104593939924,33.234680423699494,28.022956798178164,27.653635767823854,23.05116900031463,23.150918457462286,25.107860802958548,28.448973274277023,28.5840142535009,29.981916370484715,25.588302993791896,28.309556396860835,23.666685472270935,22.880708506558932,26.072950501809924,27.940764825129907,26.31005764472935,22.25082175300211,23.5355476407162,24.176748692285127,19.83310105084347,18.158150537228703,21.90340487627965,21.781276415497988,22.59487530796197,23.445563517117893,25.494409440216433],[19.80379212591552,19.18647610088057,19.70777185559007,14.607272480056182,16.965678921718236,13.88176831826258,12.978373526711884,15.853422668587024,12.27421447447811,11.808460396099067,13.25750667085776,16.899524985848014,16.805725107777352,13.283513485698151,18.06384406335708,20.371965443135295,19.03633945300592,22.805719381694736,24.71917397291513,27.969055568833788,31.166185481681367,35.51833515227718,35.390094653972085,34.68844054029149,32.075200341544836,28.006944039937597,26.70756604550047,22.832424876168705,23.502797262438772,23.571833294650506,25.343465925767244,25.94407226948203,28.965703203021857,32.25283757240268,30.563387007177187,28.66366752469571,28.647744769685687,29.129567881424872,29.267033700348517,35.525048373102265,33.017299905260614,32.22449403228894,36.77958042328964,36.32048672471414,38.30379509771314,37.45945574073002,41.45275999328272,40.321395401195815,36.03736726433492,39.891711726285436,42.491596355983184,42.29815859650148,44.24631032389117,38.95053697078596,42.95135405754809,46.00556202571237,41.96163904998522,40.56335378312911,45.388884461600284,45.81372020146484,41.28674942331116,41.9817524829467,39.760697675408316,41.104029193354364,39.28859527551161,35.73602021455537,31.98978805554054,28.907963934492322,25.879757761690772,23.291548306447456,22.429682310049348,24.418702981351622,26.44479329528739,30.073030766227465,29.71936341641724,36.22183801501978,35.36200859342505,38.20335005562221,37.63266759302859,39.19381711384429,37.67205505265274,37.82076423776905,36.90638391677312,37.209339911432,33.73904492524699,32.15612303980747,33.33332823882958,33.838285818410284,32.749967995416974,35.35107537986454,32.44743511569879,34.894046655272376,31.34494790428261,29.450773651869397,24.802919083253727,24.69946508542487,20.401435237774564,24.20880425013507,22.448389087553597,25.284381148049505,26.711163181230226,27.497915060687905,28.734304598169604,28.575648107195516,32.27422605272131,28.51403526772505,32.09776852855189,31.445135977174505,28.214012056019286,27.53999666223592,22.823433923671278,21.488275038613555,17.013948739653205,17.044458446381118,15.09948649591461,15.437901587589426,17.79716234290321,18.79375811225699,21.902341902369425,19.693785642843114,16.523292019037907,13.747021370159064,12.630991492843519,11.6900815410006,11.044639811348056,15.62405160500053,17.092720285515856,20.367910986297396,23.942046609806095,27.798678298534377,28.635526831107644,32.92837291496085,32.90189973409135,32.889413928129976,29.000561130437855,24.488652478225166,24.10709327558444,21.314191359085935,19.080305625351357,20.84338163103229,21.900819140417482,25.853369264301318,24.050149543481304,22.320602403638976,25.478607791802165,23.375554792009485,20.771186366406283,20.120816075062898,20.863434037749503,17.951243598595198,20.92618619807269,19.352074950495116,24.290300410867236,23.70531341292534,23.224561748152837,24.035927471383985,21.61355602886476,23.659067997540248,23.19381228402098,24.707587785582632,24.55971455086322,25.620052156829143,24.38318356252309,28.563868311815572,30.195024914175004,28.5105859101785,31.26828823608971,33.26171231024642,31.303319102730438,27.384041853945046,27.75683203131752,25.280683748112004,28.39580023413397,29.169424705418038,29.492926192770483,30.613809091437542,28.013439139606472,33.76051045178253,33.20641336794129,34.820305675098716,33.979541054367715,30.716504720053017,35.31975050168407,37.63234705966159,34.65201873078772,36.98785115340659,35.41622053101041,39.724821485292296,37.55439378932658,39.51365100259746,39.73770228814133,36.79893411903634,36.91382698356961,35.22200988126609,36.17871235012527,37.14618977676406,32.69246843065804,34.43463711086124,32.50065263603981,30.730615382246715,33.933731493275225,31.825605917304465,28.022402971427272,30.13721956798297,32.58826922260956,28.211217520034467,26.18648049554029,30.53543333297362,31.50319110346376,25.961478750496163,27.71503021920179,30.64342477437645,27.286026845385667,25.051945738885085,29.555075936667205,29.372643489026583,34.2849277788065,34.76324170409191,34.51582786887654,37.5222747165855,42.01890359812673,45.587169028168134,46.91969057416581,46.40380623069736,44.997603377664035,46.84914922454244,43.71809766310734,47.75453555350114,47.47171351136367,41.157719804254064,43.110845719552216,46.944971010420815,43.31123500408554,40.59890658842257,43.47673607612491,44.50334665962483,40.55322086788131,38.5461782578493,35.82348232778906,36.538737640251895,39.58899355143379,38.92912837678402,40.04633822050261,42.64011411742698,39.16751454159174,36.188942180096426,38.56259859328421,38.03366666265056,33.23998585729978,33.425826721952824,35.095149680876965,32.64065196287974,30.675756538361593,35.598496384435855,35.39558495559348,31.054142709099686,33.61506915707098,37.59518759167496,36.992210447328794,39.49158119675043,38.09654107746145,42.01543005881096,41.239590058142085,35.75020468583479,38.92174195382062,41.11356337201189,38.21279690481829,36.357422130341504,42.33252077062857,41.7607640197866,36.55102100817772,38.385066446347786,43.31148584689649,41.74408586404322,37.8916473539854,33.33957755134547,37.44242874850515,33.61539190138299,34.40969775641431,29.082763482709996,28.444076104577483,23.997861153578814,24.090803299310377,25.486063488777393,28.652828821401148,28.26381579075584,29.662536919725763,24.83569945845311,27.07707677766465,22.163773715399238,22.31304930238648,25.196895633848357,27.552688593508286,25.660936710060447,21.631297929620423,23.826143060685364,24.58013949665229,19.586550260705,18.864659049760718,23.131688106453456,23.133473424772184,24.05930464588833,25.07603795632628,26.98572040690889],[22.792578064718537,21.871510362159515,22.185930563863412,16.49008010894357,18.812518565003295,17.17960963083412,16.17412637865174,19.538541701985018,16.317361019762092,14.98390788798764,16.57511119984556,20.591867793067436,19.50528983152467,15.591719736912355,20.385156139870777,22.66483096158965,20.476305674266598,23.76063350579779,24.650756952260245,28.246703404371384,30.947910186745663,35.36902146617223,34.768323436912006,33.59147031666717,31.346654625329002,27.315035449450637,26.5341627943567,23.12023145900764,24.575494288701396,25.457951997547493,27.223640470337468,28.473681772583614,31.66079376764992,34.47472802147525,32.6117342967828,30.169677126482107,30.569045762097083,30.090484055546458,29.845233466846704,36.034537509545906,33.011357697629755,32.20625270940733,36.70240581918422,35.80087796871451,37.30917258624034,36.08760896291018,40.125910287747004,39.53092100222187,35.16772707548628,38.915747662317706,41.94970154741331,42.06914704148267,44.18066805197691,38.99822875706746,43.44914965140698,46.132099396058805,41.885519490479986,41.05500128989051,45.886391263772914,45.770191794646074,41.37010067912017,42.41878109591545,40.55608207741933,41.35909372386309,39.31684160165468,36.155848996368704,32.06746537689728,29.525212424839907,25.963044231665293,24.016446422865897,22.581156184867652,24.3587213484902,27.015445833311187,30.26793420490442,30.654777764447402,37.20303906987334,36.325193428840755,39.593019161509325,38.95722756491412,40.27973557158563,39.14410455595921,38.984113427454524,38.52505427188007,38.407220735955626,34.63590247417747,33.46198591807667,34.373335694678275,35.56164582626672,33.986435864062216,37.15228569843916,34.02977550968451,36.43075962106904,33.16794066637148,31.738800492671043,27.20517653161468,27.26441544485648,23.088266955912346,27.27166569067062,25.865071460521314,29.19371851579564,29.945645705966008,30.96508083938876,31.572121633260586,31.50235325411516,34.61137084116528,30.94767607183655,34.51915093728942,33.466322059955615,30.420684947379787,30.180602820298844,25.473044471161092,23.74308122531659,19.61863691565516,18.666319546200715,16.683956658453234,15.888416542016985,18.0293009201501,17.905546853036462,21.064352851666236,19.88306715818602,16.374362743175336,14.314944144550775,12.16230409694627,12.267194234858762,12.823257236004157,16.687135761331206,19.379398270632258,22.03955280015103,25.660001281082533,29.485167386046577,29.8030275447073,34.2627420596462,33.734844331100305,34.23708791130295,29.76479293301929,25.320580772819675,24.4989105799159,21.313854116708484,18.486416426954055,20.46278092349956,20.345558473978432,24.35710602746299,23.172977978007225,21.939685746153373,25.47040108748347,24.112114511501286,21.55818890122787,21.85061134039751,23.073750632396123,20.861988442472402,24.238843023281817,23.278097165181663,28.32570735875834,28.16455624463715,27.49898350015287,27.946391931140614,25.143380122567333,26.992310786382053,26.010195847455485,27.22279726162713,26.147068630331443,26.928462217153292,24.801682193801163,29.09569846322157,30.273317025482726,27.818646209153247,30.94016737245064,32.388266354933926,30.6370751610643,26.67039135363398,27.601744588972515,25.292387318678106,28.927708409612386,30.195086317517248,30.89525162611788,32.570006071861684,30.110412395295103,35.91511699404779,34.772593786128645,36.52667130795106,35.056173723216425,32.37028014278232,36.48906288446821,38.43029736634798,35.225766116862516,37.34613912795645,35.638586689162096,39.759462597562376,36.904827446447925,39.107985734524675,39.16263443577966,36.645853293183656,36.78459960000663,35.33095481681597,36.55192456089962,37.64372377455271,33.340799507948766,35.509384131458745,33.738251300387084,32.52563224055692,35.88901625394473,34.28647084033479,30.303418514419153,32.04072395315339,34.93766565894367,30.844263481803917,28.082122999007787,32.64732060750687,34.299886977857156,28.588823806983246,29.957608763523435,33.18347648353924,30.229328108942678,27.469640646628786,31.70689697353516,31.164014284583526,36.46650992274619,36.06960451826075,36.25203140473685,39.55543599350278,43.90112928292367,47.60495805384313,48.869911385440794,48.688684606261674,47.19017517046501,49.13191817356113,46.08703011539284,49.85543703588707,49.38607199458889,43.03161621826988,44.9896496092938,48.46137658363165,44.659079185885545,41.98378815783618,44.72190421230887,45.36574539785882,41.38376594836485,39.3663726765118,37.0708572393521,38.235352200985915,41.48045434228808,41.23001824133559,42.640882366108116,45.5586802495944,42.18063265529664,38.91110006120002,41.55733108526422,41.37917738993535,36.48406215177474,36.47198760076033,38.517805836144646,36.247374379848566,33.96463026380537,38.843306815236026,38.929308201126,34.584719027315614,36.73202938130583,40.71940637471682,39.82176726530918,42.354211955889554,40.89981170984761,44.598609211451894,43.73682326095834,38.114452724763126,41.14297427259193,43.100230721271004,40.11004354415613,38.04739934006988,43.91396644854125,43.09801430512196,37.74279637855302,39.47309159371455,44.30161621585731,42.51242620243125,38.54785840529893,33.99683937940926,37.670014749957005,33.70649763318827,35.087853936521114,29.78366023779648,29.739173199631406,25.646143598646105,24.863325461404006,26.149663163709164,28.91275027703656,28.678111918652657,30.738372846824106,26.194156339729446,28.60949187826229,23.865747178181778,24.71739549583708,28.097717018828163,30.711108531732894,29.20995139384084,24.85909151229177,27.086434389563706,28.35965461998667,23.418413619781294,22.304341937747378,26.722530295509923,27.142417346303237,28.14479550794355,29.14027439831864,30.963378010008775],[26.251734960119375,25.239174947827642,25.014083693203197,19.50345464602889,20.58605990555482,18.743110360189565,16.62470455950701,19.289153649074272,15.689718106432608,13.035987389481065,14.04658285001559,18.364432918005882,16.61080181928673,12.187536300597484,16.57554083337951,18.959029444193074,16.55707437069545,19.340638090612273,19.99052286105642,23.82686728689891,26.393576262439026,30.90332458869643,30.357785491698355,29.348352448816215,27.255243095570403,23.042585523604576,22.569333644775217,19.20433100725174,20.580950408822183,21.83681197720668,23.010358452182892,24.940130244104076,28.003149005479763,30.416192339043555,28.67595437446167,26.04632300383548,26.988444649463656,26.237885445134026,26.221517732606657,32.53443411190545,29.46649199990613,28.087546524500155,32.614550100331044,31.90721188353877,33.35738988670383,32.44273379512844,36.52025778141095,35.79870891691801,31.7920694880848,35.84240447716375,38.59008843421948,38.91324106138452,40.713132966781345,35.52047295366877,39.8519919810373,42.28842819739064,37.88735073706851,37.00946931638974,41.77044968407858,41.5522643281522,36.98039195949998,37.84540733158564,35.9673899230706,36.58247226780399,34.6639861968636,31.622714377717685,27.283244596599125,24.812534566445276,21.063713015378884,19.196791604719557,17.626374217804948,19.4217272998637,22.12254088962296,25.305226159721006,25.884385283172055,32.4183943352888,31.69159123372979,35.06005881860639,34.58736153698821,36.03675748486867,35.26068994531689,35.360417755306706,35.32003054479029,35.41661791304024,31.520580610244423,30.09938940881734,30.49471920731683,31.813698708929607,29.736526851946607,32.92225467963043,29.585833176608666,31.843662306905415,28.732754367062626,27.613599507419753,23.24326410670267,23.401253905427385,19.415931182119362,23.944916059536528,23.08073310978143,27.107464333096594,27.19114541524832,29.040316668006344,29.04332930587123,29.793580639195028,32.89877457980077,29.830913446574073,33.80322957495039,33.11125212948381,30.587732755632572,29.914714733019455,25.56131470680855,22.96269294126364,18.82757198066668,17.332586485276135,14.196595029265081,13.284271657479144,14.442255154317023,14.462236574488216,16.675684123662695,15.41359347147987,11.879734510947923,10.28705863899702,9.054427030870515,10.252336156525354,12.020029503670498,16.17992229143308,19.759880817935883,21.92999376512023,25.714007462080158,28.864670406136508,29.93050705745577,34.172356298032575,33.25497797559186,33.28609368110665,29.029637460210825,24.52310248450037,24.73143285597464,20.79206945853423,17.602641517473085,18.635417809075648,18.187925203845964,21.531469139808205,19.800079147651715,18.960404188850294,22.27528329795135,20.797739994266685,18.663247356953764,19.221284081210264,21.118538186801974,19.320596286912643,23.314155739993954,22.38521902904245,27.490053059245447,27.752111735068187,26.234851777743007,26.330503535874985,23.166335900496332,25.372637919418658,23.613882654231574,25.522767551316683,24.24418914414763,24.090352037974903,22.348760600441015,26.311185447585327,28.07726706999537,26.08371491389373,29.657033322043972,31.397421617630698,30.234421218958026,26.08663194565843,26.880157780068036,24.029807607233128,27.146527284665623,28.118433435925457,28.44568402588444,30.189777652460375,27.30250592386055,33.10200136481552,31.953262746260478,34.05563511242653,32.75297411926747,30.698315730991876,34.921863545380205,36.87301078156734,33.54683640156723,34.993556615177575,32.78114383954578,36.96000447751351,34.278204069111815,36.92231112884449,37.415438195147075,34.91579468590377,35.67702663967976,34.60518425537182,36.132061047128175,37.71015499137467,33.71934839358748,36.109364440206654,34.87958880559358,33.37411667331032,37.194960614988204,35.41596113280688,31.493086340951066,33.86715232658013,36.78849321469595,32.71444823382523,30.50830103368563,35.159101677246234,36.58461339070208,31.252376803792686,32.998552073497,36.21228244451555,33.14556827856795,30.85821886130485,35.29295783982825,34.67424323594573,39.874491888298245,39.50244281752952,39.3002792000374,42.600816329463505,46.7460298211637,50.635579333797175,51.597185402378585,51.00216627703441,49.21053741557099,50.818629919427615,47.41129653266673,51.126592815193014,51.07445186408231,44.66486426622572,46.18097054007561,49.85060390169392,46.33622373830827,43.33831420285245,45.729541120804726,46.8876048255504,43.10629670113563,40.375662737630336,38.4780100454486,38.907363804075956,42.2666057790628,42.31602935341134,43.33042075031653,46.400010051094156,42.63383165132921,39.68817331523864,42.77847786728398,42.270281341137036,37.33945852167124,37.93820993344795,40.043588950519826,37.76037886636988,35.88024551104408,40.89995560338971,40.993325911430695,36.882970557352515,39.32170567772705,43.2626599318156,42.373922673666996,44.568686028722624,42.750683522152066,46.4924353636771,46.127413120198746,40.46885894683513,43.11813883617662,45.46446369251111,42.700717079313584,40.25635430272812,46.11268966192604,45.77825962730039,40.39332818227877,41.64457114686196,46.696855911609084,45.31045491155468,41.35310950300457,36.982838252084896,40.863720021596144,37.16323903228952,38.70170214200799,33.371073238073635,32.91418330810637,28.865219354208197,28.421653036294302,29.292997025166176,31.978572721346627,31.235468701553017,33.02567198820695,28.068845747593095,29.828376149721954,24.88010205065062,26.350868936731903,29.015378886228206,31.889193568821256,29.87159284048936,25.95225143376597,28.916460796487794,29.864142857199877,24.476828548622034,24.474683775845943,29.028317347286706,29.15731413551094,30.102059014261478,31.134510170073526,32.86984684396962],[30.157662809209288,29.226702608150248,29.23889740575803,23.48274845093421,24.922091284146692,23.606393019970888,21.69997374676707,24.508032912854404,20.9032914335622,18.132064265505086,18.831507432241278,23.16558553739991,21.248803726555543,16.642035586171062,20.42549941271118,22.91615345502389,20.228464892360375,22.152713353274322,21.67439275184768,25.947733495916278,27.78724118968268,32.34298166387096,31.326656668257538,29.89978866726575,28.48221278566142,24.30789527826197,24.685838920606656,21.952705437895915,23.80257709924894,25.688509402343342,26.22147704642656,28.93774974188028,31.787528084807363,33.71092070376242,32.152664656673295,29.210689770719092,30.746265147985177,29.280739941051788,29.10616612545381,35.2689104821306,31.776912176940712,30.053360592876075,34.42988555608366,33.40717147449155,34.21136002677017,33.0431180765034,37.12877212826679,37.01353439120975,33.20767171884077,37.20377803312884,40.25774793902401,41.002878699476696,42.78693381015202,37.785057805312356,42.39349424166146,44.30945039869633,39.66914767818808,39.305160860302095,43.943221650126304,43.137463738459594,38.60782529727462,39.579737971482594,37.98434985875315,37.87916578780749,35.97826189353761,33.511196195476685,28.619289195220972,26.781027563836904,22.38379843463098,21.11250731798671,18.848767742341582,19.850190341796434,23.37864377336352,26.259542501679302,27.80113744160825,34.15801237592919,33.81786649241397,37.46281920183788,37.21749906516111,38.64082716383709,38.41885562412922,38.485521559480745,38.964564935575076,38.87025941594146,34.77023860529406,33.562058619467145,33.468049405127395,35.26688184620429,32.54864623103995,35.92583769194093,32.266608826030144,34.107671604792706,31.300120660950796,30.69122539816879,26.659253398507335,26.60913242851109,22.994933361031435,27.99384863455058,27.570009341509685,31.866378192634283,31.74132403859221,33.962176673691516,33.630276219867234,34.63632638033641,37.45305665180689,34.55017306923109,38.514141850454386,37.62529849661126,35.21936100942919,34.77091502686179,30.441184240594566,27.706568802194237,23.787200096798394,21.861778817824934,18.6849523210446,17.110721484051723,17.644906653428123,16.609782124386847,17.989594405557863,17.873187448278635,14.351499812126931,13.931646407584958,12.471238944270862,14.553330876314547,16.848775263422578,20.466876018197375,24.52401327352014,26.392544324198006,30.136830645529006,33.22205727939008,33.952448142517554,38.256000891481065,36.98047811912538,37.34359412525565,32.75383922651772,28.387287502239005,28.29719402321828,24.1499777218266,20.564502380277943,21.588991816517023,19.80886771867029,22.780889784678347,21.63019007145027,21.5581291677794,24.98682748747707,24.155350107487738,22.31500045068861,23.523766504943698,25.75725974084789,24.323173588345206,28.4353090995035,27.58088487188791,32.66609658954647,32.834409171402186,31.206758971219138,31.346201878349618,28.120961771996416,30.38760500841521,28.321863377787057,30.258536173611677,28.4858683669561,27.920452277560752,25.692170747673018,29.519289781368215,31.02108968671238,28.457197558295544,32.382982374686755,33.594115363495796,32.73776688215481,28.63154726464285,29.90561054169249,27.214867622121854,30.594000271382562,31.860896304824532,32.35031889796872,34.42141142593566,31.5199880073141,37.248525965442006,35.78044477923464,38.05293321640632,36.388770322339994,34.898843151557664,38.7512687134937,40.39717613072672,36.917447468745685,37.99788029926048,35.53965230538348,39.49077229183228,36.22817432773809,39.22473548655836,39.65438530400141,37.6153092056235,38.500643442147,37.70683535604587,39.46092916728198,41.13994683564255,37.31608823125308,39.98351687559734,38.834876868293556,37.71460993725041,41.55110434488598,40.06441755133214,36.062649891948396,38.122439841629614,41.25021705404302,37.30232968465889,34.62760362944385,39.337989487253346,41.11128581561196,35.58874638659007,37.03932373612926,40.357864916982564,37.446774455422194,34.773887347329484,39.00529722865981,38.29874440420878,43.694242444880594,42.901835821975304,43.09415410679796,46.53195179029941,50.66929446518121,54.5456068687164,55.58569096533717,55.28999237261587,53.52812643534666,55.249008925950754,51.95273624827887,55.51913519146921,55.29761726687196,48.891954525923026,50.467507696305546,53.87248045766117,50.22049422282086,47.30638361874937,49.62331428335266,50.447921864286855,46.643090968661724,44.00412230015576,42.38152450642869,43.16607919691443,46.61682514052706,46.86587935411772,48.06608873019724,51.26397627158387,47.57475266741592,44.48476254788288,47.62759365412425,47.287544713018676,42.33279933695458,42.76473762504338,44.96543800416481,42.71952041442193,40.663452692207954,45.63110895780769,45.77269300147276,41.55883119925033,43.819724090075226,47.78437146984458,46.81432429550299,49.137763249614615,47.39876712231298,51.034360503811,50.49747259549636,44.79976248871029,47.47444321530728,49.59597964530686,46.72708749907215,44.27966252274602,50.050406047333475,49.44113479733213,44.00049913361421,45.292746870734334,50.20048335141824,48.56075669851991,44.54898640896874,40.160105260701414,43.62522478375688,39.76130362033488,41.63866716765838,36.38142281872447,36.45504556546946,32.59248335815243,31.542401350068562,32.50172236019786,34.90568544098411,34.426202634195896,36.70481545124764,32.05228631562466,34.0036550472709,29.22882061681543,30.916955232276692,33.89574550041826,36.81112430645553,34.97537410748433,30.912298453887004,33.71118452769482,34.832493989591015,29.54814692762068,29.17022715035112,33.68751867638395,33.89375558102475,34.798035206152065,35.729584501537346,37.46388040949167],[33.959470402517084,32.763738453159824,32.07460326657779,26.526136658777702,26.673137496271302,25.550794449592228,22.737629320809063,24.892959564426743,21.45954755186291,17.611891964712637,17.885527201570618,22.117612089660106,19.192003550726508,14.750990540741597,17.54243604255354,19.715432090974712,16.568756209484476,17.4520708595709,16.139499385868678,20.607717844873594,22.04534265971889,26.603272802681595,25.53453216290934,24.207851037425826,23.05343848828863,18.813209855692037,19.732493654932068,17.45783754641742,19.452355188105695,22.00849860974852,22.055467115326238,25.517109253426426,28.28173638537537,29.493964164855214,27.919272079629472,24.62879598218206,26.79084565971297,24.672228856831456,24.597098049166476,30.636319333971223,27.058231905656502,24.75356148236524,29.029553788112306,28.125335264809465,28.76856580571423,27.917720919173252,31.987551517932353,31.78863609793224,28.448472729651577,32.6865663222078,35.41900276080277,36.42523848767861,37.87270916666901,32.98321129849105,37.48774949131777,39.0323645502532,34.26407336007118,34.0157507914171,38.518263242431296,37.49414469381742,32.9001900522679,33.833409124416434,32.40593954763688,31.985479528798056,30.091931460995156,27.891709851117376,22.80506239943267,21.349285892153567,16.741001799878926,16.126952583609512,13.573420636252282,14.705999597204398,18.27944291001671,20.62294593451702,22.577313095206975,28.77720231863408,28.40199589248076,32.277724279948465,32.0608597315294,33.41766625151853,33.67704504345947,33.85635375087339,34.90698497094265,34.88312713227485,30.68880839533932,29.4101804232878,28.693577606308576,30.861694435968484,27.565120901647866,31.194839889920903,27.42045417026412,29.205063276327593,26.820113087243463,26.762858694970472,23.135748044744133,23.497973873779447,20.380046416091844,25.29495757833248,25.51409637698256,30.439509858001244,29.247149493741333,32.189711655555705,30.977499885332158,32.757106215296616,35.22760754198156,33.08128829012996,37.313056110938284,36.72150805947143,34.99404127276175,34.233692553535256,30.44562528741114,26.874802752698997,23.34345674572566,20.780338736396608,16.862261856512156,14.990670895108181,14.100727940208257,12.86742344370148,12.650186963525739,13.084209492381564,9.936672604742071,10.948898918815622,10.611021847620869,13.739463063017434,17.01686255413442,20.2160734297206,25.045546240460993,26.166892934629015,29.881311167206114,32.11331810755273,33.50312422170803,37.45982967638509,35.702199076611166,35.64409896402377,31.338996546206616,27.13704860212303,28.0794506478479,23.328740786638274,19.576387893872322,19.4555339617496,17.18163260796331,19.028015531288016,17.397432647275615,18.013478641077377,21.01202964362533,20.37844673952658,19.219981923328515,20.96908325761008,23.87614604619263,23.24222756440169,27.791986422186472,27.324827794689746,32.27177332055945,33.156405774153356,30.751655087513182,30.267738985176877,26.67292817189931,28.995248986113936,26.085526888839663,28.437595307063155,26.24267429583363,24.61575201343335,22.67913036055638,25.921224857053318,27.909365020696058,25.860658704308552,30.1846636038357,31.62414164806561,31.49515338193514,27.36018565868494,28.48298723128083,25.360437464891046,28.073371901931242,29.075652711866315,29.25044164872024,31.493299928334896,28.352304876067446,33.8538958777652,32.20262871567936,34.80749070390155,33.18691210356843,32.594224754810654,36.293537800815244,37.817165024369096,34.26084251469978,34.510085732217064,31.529070091298863,35.40324100211666,32.29885823824427,35.75839368595648,36.653701327259284,34.74741810432707,36.32057146751014,36.01483023174221,38.10025098543399,40.30066685685345,36.94867953947165,39.853094782927656,39.35733793738941,38.04689471877249,42.330969265061434,40.79956898521945,36.91354472276758,39.53918929773095,42.73669568611283,38.95414403820339,36.78105092799083,41.55700904839799,43.222910767873564,38.16890834046919,39.94812020903796,43.302867034507635,40.418826527711964,38.194979759562514,42.57671771795404,41.68004252364397,47.00432534787146,46.05725362717524,45.83655772804143,49.30727405213993,53.12660388850853,57.247246812237016,57.874051707073825,57.14720408736857,55.02075584058908,56.350963646580674,52.69074574747744,56.08853580619592,56.31554241365295,49.91062167294769,50.95769815696858,54.478358330942704,51.177053799210064,47.935126495017805,49.79917587293292,51.15069992713678,47.626463919162745,44.210058006432035,43.127955857364086,43.155573290230556,46.70947250651343,47.387696453342095,48.20466574556271,51.624498270739515,47.59457143686548,44.81975833279865,48.49013158495322,47.9153354476492,42.968344931383996,43.99465324819949,46.37220330392989,44.22463254500271,42.524924040514954,47.57868690952668,47.85869698357754,43.975660832715675,46.38906675180011,50.264768834469265,49.19975517188271,51.097978710028684,48.9253214914975,52.50431923794053,52.54591504670221,46.824618495270805,48.98478967768866,51.4917390849279,48.90567478519792,45.991319671815525,51.66289757331404,51.60136933794379,46.158369083695824,46.850978107504304,51.95634761324891,50.8001008825357,46.826296159703524,42.70681429693656,46.363179256495016,42.86154899685593,44.96058413519476,39.71385410561682,39.347703850416856,35.64623872396645,34.89842447772861,35.34224846742325,37.590691631874975,36.539808483785265,38.53181690922772,33.57253617133008,34.79039585323607,30.00145496634902,32.41515069257786,34.68787612027024,37.88033110059474,35.69673219118544,32.08367562640032,35.58831061638226,36.54552451177335,30.963911975369395,31.588035823611552,36.2422780879373,36.35041559588799,37.27318772444791,38.297395000291054,39.89914585349446],[32.634202946714325,31.88646554777907,31.72737670407193,26.411232234894996,27.104149791451654,24.88020182174484,22.25370407008405,24.001531972009637,19.934870160633135,16.4923148399291,16.0449553447497,20.197030750512795,18.410800670830255,13.564908524552543,16.100680868826004,18.87103468572953,16.76618847179646,17.922789640390416,17.673146321072878,22.175792056659485,24.0109792109859,28.651200150286954,28.034103549772805,27.205165501847233,25.915815671674647,21.48797378901528,22.129980339485147,19.29767576891407,20.35003772802094,22.165090178701067,21.360547979148468,24.82669993756042,27.125729377458285,28.733848133508417,27.706303996908332,24.972804978770018,27.131900135379954,26.01655918043569,26.495804439823377,32.77041585919981,29.607603122453984,26.984600307768236,31.38036050276375,30.9674976031506,31.919241499473447,31.45974644477107,35.517608889295374,34.928277005477476,31.765700358063047,36.17051582149439,38.54250919956383,39.379460655356695,40.605084122603955,35.579726235257425,39.66001632083798,41.42165416893089,36.706678408194286,35.89286383335812,40.36418788323833,39.74918111898308,34.85371667478673,35.19150333940127,33.27618524809294,33.14095099311785,31.724432392864255,29.269268082139853,24.04300858401993,21.97711417092035,17.454703538478057,15.734628477779228,13.41314312844018,14.037233996748263,17.57797836989194,20.827942964850322,22.396664680318132,28.638831569830685,28.855349638191356,32.298536201305495,32.532269268147246,34.424358638360154,34.54856458359986,35.28910784570846,36.05086072387435,36.57061572854782,32.57442184870123,30.739978414960902,30.018803336495644,31.45692801041131,28.248175961387066,31.062087906895666,27.119008488388026,28.49773908580042,25.704759006364622,25.31827755965457,21.620885340057484,21.29010075596424,18.114697531183353,23.54671403041596,23.798787671680902,28.5520496978145,28.192792484329,31.375586083205597,30.79040607880704,32.77648591454698,35.97773130518431,33.726820505983,38.04960515108118,37.80215951902847,35.79777221756892,34.66865326832333,30.74717074531187,27.508529190510714,23.491453505576214,21.703116118749705,17.458300607427134,16.556586771014903,15.848537756380587,15.759115443598017,15.274451420142828,14.3720138429863,11.349367283260172,11.560135060319976,12.355510307838404,14.7850523442499,17.35767432403143,21.434670757059777,25.43679777454785,27.200716396155517,30.99083246292074,33.41852529514192,35.15094196692315,39.11090649419138,37.791020539468015,37.3637463702055,33.414100122544525,29.02239664858082,30.100763503467196,25.605198696749635,22.13207876095981,22.108769905551767,20.71840930847883,22.72892797463173,20.55047379654586,20.74527127102398,23.514125334025294,22.068908923731623,20.863292241529976,21.73501983366884,24.385337904805894,23.003064079017953,27.34924429694969,26.061988732477612,30.934565722972604,31.10094754366714,28.668428970194533,28.787700586380453,25.567169108442872,28.415100343829526,25.83136169969514,28.824733832913015,27.501732897957677,25.981823619390934,24.89044930455973,28.12071984716897,30.589223140728492,29.047378545959365,33.15863623731945,34.96206244857386,34.554187429523495,30.362522791344276,31.16738985626609,27.909085482791987,30.36148884260386,30.95858888704941,30.73836697805881,32.46440204363534,28.948640346586153,34.511240740667525,33.5034972695307,36.09582634392639,35.099965842372626,33.988080683871324,38.214078060638975,40.08737141438669,36.66085293432686,37.085318578189316,34.11756039157544,38.19984208241969,35.61605316261574,38.95949590642185,39.98054983334586,37.736314554991395,39.255843420224636,38.7090145858173,40.58235766116888,42.62738958430611,39.01788446204285,41.60308304948926,40.816009483758656,39.118786727815774,43.21026927696764,41.26258459893896,37.45972051521527,40.23973016461417,43.090606644811075,38.99739521502252,37.192128195617414,41.82100506328692,42.97676060183654,37.855363611594406,39.79059209763829,42.89866889116397,39.64657994318544,37.614083371967816,42.13178443750466,41.618739545426905,46.70683999693323,46.499008705001515,46.17738201646553,49.42174280833996,53.52587535653766,57.43329473219846,58.31281942308795,57.4832945932491,55.56218456322509,56.948749313162644,53.303448892859436,56.99266458529209,57.24748913620082,50.840536315910306,52.03996505606183,55.83723551401152,52.53884018358758,49.34302817950797,51.44490332934531,52.940128441341805,49.32166507615509,46.108504370839725,44.560012853966256,44.441922785353455,47.84767262425634,48.08653414746313,48.72999659434789,51.80956463053888,47.72865072593367,45.16649088718359,48.475957386765074,47.593264985398875,42.734355645018425,43.81949788843255,45.769418304122155,43.391841174673516,41.91261744687585,46.97591171349417,46.89172373160065,42.88254427877782,45.648462677766055,49.55467401016436,48.8176487462832,50.864258454658696,48.899249893386056,52.70657627608173,52.61058457545018,46.9928399199824,49.46979064104339,52.03775391568739,49.39493575114651,46.803346514253874,52.62973736286183,52.53286231305652,47.15380476837485,48.160510855518424,53.298966740184966,52.0854477894824,48.1350192603833,43.850060563102815,47.7216484418527,44.079659740191474,45.72091617896767,40.39617774552156,39.87091125575008,35.809928378974,35.45129438014814,36.23818240046665,38.843289676399934,37.94008704021751,39.657023873522725,34.548273210719934,35.894802043360876,30.89912735139171,32.6328193002307,34.7002043941244,37.61833118657176,35.094060999341984,31.698718102986792,34.999191466340314,35.480178530316785,29.9224789333222,30.64503518984705,35.065558983053435,34.71751921624902,35.47311498039355,36.3709912486934,38.05507211384883],[29.982187701729735,29.519877822650734,29.950065848609288,24.578716249866076,26.227158620043323,23.705760051222896,21.767006938220995,23.900031933734052,19.66493874585242,17.11773610226381,16.93387185451365,21.07874010112315,20.14356880356802,15.274147133743945,18.480639473521155,21.428531226784685,19.673953512266632,21.534404668055267,21.78615373962809,26.1454433050021,28.23001215614602,32.87015341015798,32.272510436276846,31.35565794648067,29.894512270808374,25.49522844435601,25.80217395185402,22.690388113587996,23.678882621564263,25.025510078737447,24.580317685106948,27.463643162270763,29.786313706601828,31.904654433158633,30.907588120685073,28.44263453847999,30.14867491604257,29.489170030426394,29.89454823268633,36.253256384557716,33.1437142503563,30.904553292761626,35.37223391354931,34.87279270678152,35.92745820994173,35.253621652026744,39.34110992227884,38.80701446122414,35.32919759080116,39.595844556290615,42.17950098328798,42.84297242317085,44.287722224253265,39.18083342584179,43.32715295407973,45.34201270236002,40.70868060979508,39.81480242868658,44.37606458935965,43.911875096930345,39.05555365390299,39.420123213131376,37.39498571379539,37.472009188521376,36.0495120939849,33.42130393012113,28.34485905180205,26.053761612657098,21.71335136991547,19.63956072859205,17.562558766413154,18.11936889476156,21.541042620114993,25.078416023249083,26.35219889570833,32.64551906004872,32.881647043672814,36.14379623571446,36.36080122605952,38.296957320540365,38.08882345161675,38.76029849026788,39.12414215865931,39.610954798803405,35.68578826484424,33.89224715939127,33.59579048814264,34.769137875276755,31.9756745227114,34.59264227395484,30.759488246882174,32.16380480342702,29.09229549837948,28.301970980086836,24.360788714349106,23.707333514327043,20.218518938247946,25.63268410742564,25.40244490565587,29.625563185161973,30.112426152697303,32.769654005064474,32.85461991449103,34.30040633189408,37.77787905505532,35.01122436349131,39.14317769722944,38.72644172156959,36.243592689315314,35.29330303955583,31.00779542328286,28.388083255003316,24.090858696961785,22.813017790221764,19.090965609870377,18.416260238547967,18.62682580717374,18.60264515783045,19.14016807705519,18.01496071438361,14.74650553140394,14.073824714757967,14.10035556722537,15.815322009641045,17.64032155300551,22.026237060544364,25.390901609662343,27.71217751973677,31.508742705406267,34.51316600029906,35.83140418249327,40.00925769761531,39.04732880469292,38.873101098507306,34.768579170978576,30.269008791957432,30.684055141843224,26.617756794650564,23.28510670300612,23.974992742840254,22.894785060368132,25.597369022564845,23.71930359323671,23.49407129145261,26.549920553189505,24.98575868682804,23.33295260956615,23.82708065460065,25.989292339504782,24.01504011471182,28.001241289472482,26.360789297132587,31.293240969016228,30.846127296139542,29.00185170829676,29.641738755702747,26.74913199097433,29.576553693524,27.631951783306377,30.353488440856687,29.372680306224233,28.573060329162132,27.30525409188359,30.917196129289614,33.079959605617034,31.21998278350733,35.07135177273838,36.74546685152549,35.8594288189832,31.690347194296177,32.57049291142371,29.586777581878426,32.45420252700769,33.20868491412804,33.18386709289768,34.76881266395987,31.415326444031184,37.11657460700377,36.26034528880699,38.62265090737925,37.624878763981144,35.88827874707694,40.23983647314476,42.21154570157998,38.84403083223035,39.82226768333576,37.19561827427238,41.341083147358766,38.657921764558495,41.70469542562883,42.4291287311399,40.08388282856897,41.15494035959251,40.277482539273805,41.91844479364076,43.60538889912732,39.67090955679717,42.0613759973575,40.81235450170834,39.20534832138224,42.959053365578356,40.997859595115976,37.141091934333375,39.54717774877154,42.29393420939057,38.05902709795408,35.97484636614892,40.516694847073296,41.66540090565042,36.22790814388994,37.95538648559431,40.98552842567862,37.66203475238382,35.3594079331991,39.7805956431324,39.46881820121833,44.548066528553,44.56778466968898,44.51205012848832,47.689788187196825,52.04316686790282,55.74246301840381,56.9393789781371,56.39398400372088,54.75320572846469,56.41129657975602,53.02386365948833,56.855921766166624,56.8081978324275,50.41477184062771,51.98690552886333,55.73016475637171,52.20265622675058,49.23972295247431,51.66868624206804,52.82278200637246,49.01282720424458,46.34710511234675,44.39069456913307,44.7639686967397,48.07737201823851,47.97702603876318,48.86029486451922,51.741606611592225,47.89886214679622,45.15019392974422,48.043669671191736,47.287368523098955,42.4477716474786,43.124907857081205,44.88807106295704,42.41512902173173,40.723162771668534,45.714812054707615,45.47926731579786,41.22510158319295,43.93488939117512,47.89942178435045,47.28038527569401,49.63871707039064,48.00686145562813,51.87487500440431,51.36233497567346,45.789843594456315,48.655619694998585,50.962195468092744,48.12574840364012,45.90331533234761,51.801164616274,51.32828380045825,45.976318029597344,47.42439860927725,52.42002226597434,50.87770183866647,46.917841145588994,42.446479509310855,46.2060288749733,42.31703806035979,43.73137288410522,38.4120820013575,38.158925008358466,33.95038630887536,33.45807723061802,34.641579139615615,37.39003625564795,36.890192020516885,38.74891821380047,33.85140541830379,35.69501922965294,30.710769357835787,31.855128964067404,34.36625660064722,37.0443386401438,34.72477149877332,31.06376466067362,33.82647748787136,34.34544622389524,29.027347517721072,29.055426922470804,33.3166417118132,32.95745735093863,33.671380028535225,34.48324789242848,36.27853523529397],[26.15393010865212,25.88826254595481,26.571034579205815,21.49905271067807,23.47772964691434,20.28219245782023,18.670677523742615,20.707821528515588,16.334224989431835,14.545582641920337,14.453656544310546,18.42421735887891,18.29066224147432,13.655398727642261,17.307839535775035,20.290315901171436,19.089368767898716,21.71704842461202,22.939911477112446,26.931034312025222,29.570648975244836,34.15933657108704,33.89654555377163,33.23810184239256,31.298972415792203,26.910784232306757,26.565761769402354,22.978794392575246,23.520935701685957,24.163329293729593,24.15083761642409,26.238611127073483,28.6117045958537,31.30590409368071,30.27979100860861,28.223673054389575,29.349255452472875,29.45598041383655,29.9888601943543,36.428847690794065,33.669827671114014,31.780174796723824,36.34540217858821,36.04968746872702,37.55775852857164,36.98188986250332,41.05897477020022,40.14858626549599,36.45546251405845,40.68552503823531,43.12389149806902,43.43763140999135,44.95540327263463,39.71463317453521,43.65078985202941,46.108808463391135,41.6857052205013,40.39169115074006,45.04378043486227,45.052347335728136,40.18140325188415,40.44128989700952,38.15798446678607,38.813020210321795,37.41564971642613,34.344437726565815,29.700052964249448,26.889060701487196,23.079595158378176,20.43332218323239,18.944538957813805,19.966104533353196,22.740580430324773,26.61443172377337,27.10000686645955,33.489879450443134,33.5254124261963,36.47311135743841,36.57418239100831,38.58503219340615,37.870758724313426,38.59098637734726,38.42540453773029,39.078992147897544,35.373058393251405,33.416706862207036,33.598314558981656,34.2643281257162,32.08506749436254,34.3882635309937,30.82560743807653,32.469632760658754,29.060120286964267,27.721561416770918,23.48492710557751,22.745341089393005,18.90883835927468,23.988080340517175,23.252698029450276,26.95867558922444,28.117917339942384,30.30540309806529,31.01027959704684,32.07334165825486,35.92676636255598,32.8542534433787,36.86691103563252,36.55725913157696,33.778531353812134,32.71852641210029,28.304633379240975,26.170422966986226,21.642329210462748,21.061221870138315,17.667993666064163,17.685034321338858,18.560107451972065,19.270231965977963,20.554690188016945,18.604942093123444,15.388313418425925,13.742501599414224,13.885687362680478,14.617482625660871,15.518964554804473,20.299658851336982,22.787427692886013,25.602499058158525,29.34517098533701,32.61638669174925,33.99006935082505,38.16503313606314,37.652482474573226,37.33544905937013,33.47830114117233,28.91001547555257,29.230534574447834,25.60813104031826,22.700446499603732,23.662673348234296,23.551588385361036,26.68067082057063,24.570934017579056,23.728240301159968,26.73147825710514,24.67685074621475,22.725684028853006,22.529274674608452,24.180548177623287,21.628916166130892,25.229150221490237,23.21884792836012,28.098094448112615,27.270004317729672,25.80255418731497,26.77936009149568,24.20263360282157,27.041144459192843,25.67232155887755,28.328296072356462,27.966286970093314,27.735924355735257,26.8347660754549,30.605204046749463,32.829190226158545,31.25955883003854,34.719092037759104,36.67017662493229,35.38274062351225,31.257559704286212,31.835315180877696,28.91238592455975,31.705197405584105,32.279433498924305,32.18057786943641,33.40720921345182,30.122030183077964,35.85995622479959,35.3656848550183,37.497464546231306,36.816951527151325,34.42327799261056,39.073590941518525,41.29775678992762,38.100876333003235,39.54261776156948,37.23195387736824,41.530198673764204,39.22771671550088,41.90477343119284,42.54892532010272,39.869650140675745,40.6608593414222,39.456426400883124,40.814940789869105,42.246456421181165,38.08098160695391,40.140413649698885,38.60570111523088,36.7613678722507,40.27427637601048,38.07594878718527,34.30751681287339,36.73183132153482,39.20987028535924,34.81962737268959,32.99403142718624,37.376044436998114,38.19834246106384,32.77255648340816,34.600212373671795,37.45372496101972,33.95293126409168,31.825836948596756,36.31967555399181,36.23188311705008,41.100968484136374,41.61974873075038,41.421928640423054,44.42044453034045,48.912885462507745,52.47190588292584,53.796496144041676,53.17896005097192,51.68813961324113,53.39846446791894,50.082293713582324,54.09235577475843,54.01792948132195,47.66974862293077,49.38591313848834,53.2851077797222,49.76385347212394,46.88437590549892,49.52137638416024,50.740329776863355,46.87686628359968,44.454192068634896,42.09628402452549,42.4454634638702,45.60534868167329,45.15806799214517,46.00007656835915,48.63654014000631,44.87296807820505,42.18701789366043,44.77271856471698,43.922315792708325,39.160062817571685,39.75717633018508,41.282781502302186,38.7170035410564,37.09045365886606,42.04675532297013,41.646906022559435,37.34411808332945,40.18965271215402,44.149326333886485,43.69664704679656,46.12932001871066,44.64736978989745,48.622259789269954,48.00722036906227,42.5362750593077,45.59604689058946,47.916945014089855,45.06883248005235,43.088253643129136,49.05056271800429,48.5760714627612,43.32277094679095,44.98225946485465,49.96889538312902,48.438554394589666,44.542322946180946,40.01274728397619,43.97792845871872,40.091091734832546,41.10656575919441,35.7803639929686,35.29914402492575,30.891794042896226,30.793652546258045,32.15297362129011,35.162655051569445,34.71914377100077,36.27388869552449,31.335268733683698,33.28086304826623,28.254255446985443,28.83233584400734,31.269849777346952,33.718409773322364,31.341035532078777,27.745909948386654,30.2696369123519,30.587734613428,25.395445553409672,25.34442156147635,29.446151491698203,28.933162091108805,29.610705170027554,30.416630536256548,32.280827616283574],[24.956699087938453,24.606898291145026,25.533373114182197,20.133872296677975,22.828366818802216,20.34815284307401,19.38030172867657,22.17604860455832,18.275117902194793,16.959610486777567,17.621858830296365,21.601424174694774,21.229691821935592,16.8296177021169,21.00167593439575,23.758402168740446,22.090723538864196,24.929265419423633,25.77157479558974,29.744113336975715,32.263347300186894,36.829203928351674,36.27430700756808,35.23200104144099,33.32008823567116,29.067613218328912,28.71664799347077,25.297374226582615,26.380129236486223,27.217399730129273,27.878387632134835,29.704723023287,32.380155208118076,35.120797717869934,33.79368617922118,31.530053899345386,32.4113211368024,32.16082045745809,32.28909858474641,38.629964854459175,35.62521348097754,34.18587080196159,38.720247614131196,38.03737420114466,39.37420931232753,38.3766585495647,42.46133225112902,41.89575632982551,37.872945551035315,41.8507316409046,44.7163522508226,45.029642035932426,46.87067688845891,41.67442656793266,45.954068797082634,48.42568013366225,44.01057388596714,43.05166389163989,47.78614896847041,47.596350726172496,42.931805777515386,43.57288040679804,41.51961143074881,42.06522875657149,40.3897048402125,37.40123555566702,32.82186853177208,30.252442543279635,26.33871745738091,24.085459193075835,22.41868441319699,23.508783223878076,26.517133123618397,30.122979499169755,30.818425161075524,37.26965750649442,37.04552618612814,40.186071833625405,40.03973899288989,41.76670202152466,40.949586817500766,41.262006557921865,41.014371176640516,41.265282983364386,37.476347474144305,35.930816821621086,36.39448730730487,37.36805887021499,35.35081806623735,38.04582569370183,34.5836508210568,36.43222156529998,33.097554931042126,31.773331926467304,27.440779720264914,26.900902232486015,22.95372789490216,27.77506715809381,26.739292578749296,30.180241106488737,31.37127892921629,32.99086629227821,33.7679732225615,34.240754850275835,37.7753531588311,34.32009690380929,38.0650818581656,37.31139516495527,34.277508968369574,33.71315983918004,29.053815571117216,27.285561564768823,22.90961436700487,22.20016735169236,19.53948191866178,19.049064866588882,20.52035851178526,20.571932644426862,22.65967495415029,21.32207488780903,17.85571651825892,16.171431675541335,15.049306592651197,15.632162911494028,16.354056821910536,20.676492945545487,23.15961596724921,26.012133669563923,29.678999788464026,33.3720282275758,34.031391816584204,38.42168467236597,37.92394503421393,38.1555618614373,33.87735306727026,29.373509278164285,28.874183149102077,25.539601301808688,22.59390469608228,24.203563241146547,23.772638604937452,27.368979807557835,25.90002458603537,25.00956595850089,28.37471446723552,26.776093984470457,24.520616742952647,24.637992575025134,26.07179757787893,23.59490181892316,27.006096045854644,25.356984171082384,30.306272656553894,29.498241487826263,28.591140815812423,29.536347666226078,26.959575767764953,29.37031832252257,28.282101766537473,30.230095374477205,29.51312694128721,29.80804864722688,28.16879300448959,32.25033440169392,33.8575011331521,31.626078627270218,34.96788177051987,36.48994295442395,34.93344342094363,30.906895173762617,31.811748828848337,29.295649907023872,32.66730277415814,33.68351410830658,34.04199058261998,35.524371919535284,32.63579953768847,38.437729554729074,37.60739902504514,39.56254174278174,38.42386875049095,35.87377990704036,40.222970851131066,42.2632345717485,39.0330840418645,40.83447219198311,38.80677035406406,42.987601164402186,40.226255561340906,42.72186971113353,42.992284390363494,40.49563707042687,40.891564075521075,39.5512170546932,40.83571202577478,42.0156114932425,37.729139350983466,39.83990121504708,38.043872306755254,36.63677503997328,39.93549416884188,38.086688795377015,34.19250184051064,36.04722994893777,38.71362111067605,34.44249766365934,31.9437050892408,36.36142691972848,37.64447329288192,31.90050568421153,33.32250612995813,36.31879081237432,33.07689374212068,30.4165305018442,34.66743763446117,34.465466234869524,39.56568691853399,39.67144266407456,39.901279764217,43.03311164311137,47.57313259513514,51.08059501087817,52.55704523102707,52.36002199098723,51.00857741165212,52.97433609130881,49.931489309970694,53.843534568394944,53.411959748849796,47.083112277579666,49.08072060241671,52.67933764959489,48.90094870322997,46.245368325496166,49.03352395454684,49.74953221798855,45.75478471061642,43.77680570747349,41.368608899770024,42.38608081341474,45.565099868758814,45.124108779730605,46.36935245455183,49.0774106009929,45.613387945425856,42.55889412637898,45.000528423479096,44.55104058960537,39.74523094006592,39.84522632267402,41.535072630761135,39.07200013019005,37.01301547679075,41.869009631538695,41.621897389031936,37.16017797315681,39.61145563591284,43.60946909395663,42.99837610467176,45.659712329372525,44.37503349561248,48.21479325270424,47.245508889671875,41.732651970553746,44.96013764575846,46.92527839056342,43.89761557271917,42.061098345626924,47.97079304100798,47.086044879913096,41.798566730097725,43.70173592886227,48.49304782953599,46.619508886622334,42.682679986232415,38.06364311340573,41.696545468423274,37.612992467414,38.77563391145307,33.50647500973422,33.52857559560118,29.260867568862068,28.60323428606891,30.160973574597836,33.030373287770516,32.96141594507228,34.947266884888684,30.397925766250513,32.811280460839086,27.99019462661129,28.494132721185935,31.61650195691046,34.03328176315255,32.18906299974096,28.127114756171633,30.209954068713788,31.00978886408145,26.10003545533772,25.137388491452445,29.257323082380605,29.166570946474025,29.947339726962245,30.748565565135085,32.640059762010495],[22.808106472085193,23.066001652048207,24.601836708653146,19.902583152290514,23.015062329373926,19.275392051328293,18.723534089071038,20.90063353248461,16.653727840969037,16.32541535004526,16.454841235567812,19.888149304417357,20.829441773926927,16.730495246202025,20.55828169828058,23.490003296786252,22.79393226071916,25.914360723380295,27.628683222409887,31.387093843699066,34.279992271310164,38.81622393097125,38.66843960936219,38.040312288475654,35.894495906737326,31.571400321618384,30.877645483101514,27.084373480222357,27.420235599926556,27.50442886079405,27.807130415846324,29.180853628546284,31.471963757081056,34.65630453754176,33.70107378872785,32.02729122255503,32.64509020868691,33.33104215898077,33.86265826344108,40.276139719855884,37.71256311046319,36.17846664963743,40.76679599675066,40.4913299491578,42.183771329784925,41.51378259405558,45.57706942865541,44.59162232503563,40.66873013848712,44.7581437064018,47.26631907810263,47.34435020715262,49.01756785319397,43.724453521809465,47.58536778478475,50.343827708155146,46.0732465198886,44.59659083514438,49.297183238298395,49.56664036240006,44.73478522386728,44.95327560081881,42.52055260194324,43.4798454697335,42.116857962119354,38.8355380394648,34.43028368979745,31.37999440597816,27.851507385440737,24.92438365821551,23.712839416807473,24.728536974822553,27.264515682805094,31.339606156785194,31.45504963281928,37.799613377692296,37.826791549792695,40.50701995326482,40.58660080939841,42.65061174989687,41.55855285277396,42.26323030517597,41.63217098309255,42.33004477116519,38.819830034876254,36.855498129620585,37.468982197261305,37.75277486100882,36.08230501649514,38.077621405938395,34.72565715498292,36.39716267646015,32.75843303506043,31.006354384304878,26.674522955627072,25.67534748743622,21.74967733493958,26.421518031235582,25.17224941796875,28.024105230230365,30.156067444067006,31.66489936305179,33.165651787257424,33.62514783049925,37.7803939545967,34.24301447342739,37.93839532286475,37.55308422228878,34.29240891491674,33.357932922803705,28.714187786001265,27.452855946101145,22.8240322685119,23.03117979077889,20.403967963176182,20.83129591349711,22.40720884258911,23.32176936136804,25.24724002427989,23.054380022054364,19.883564266454332,17.71354800048759,17.46755917012738,17.33320713565166,17.148599874747205,21.924317117247668,23.250641455864805,26.660134597365055,30.220656142611993,33.990275821436484,35.00920055090492,39.260610400757464,39.258451777971956,39.085149263255396,35.31127433681695,30.773055012800032,30.500797098106805,27.570056103565403,25.08315772471743,26.60974675055286,27.023357244791587,30.614431422163907,28.672549132122022,27.42642098491665,30.496057880585596,28.26383374413092,26.00905580334781,25.306704608851934,26.311207887003974,23.16995180136968,26.06397774670979,23.622613548875407,28.277886978391518,26.656183323261985,26.008860929428703,27.608095232076927,25.60684651083022,28.323004956880414,27.78509495166799,30.117081150070465,30.31274893721627,30.82019635034869,29.974445195597987,33.948387992636164,35.939552282805295,34.28695905881747,37.331165570588,39.248241948323496,37.46549394481448,33.48604894389923,33.98553125415749,31.386343945004082,34.369095471316804,34.96737861940885,34.97502452071752,35.91380957952028,32.851183855120304,38.55642970362407,38.34182370232865,40.17723337663803,39.64802601112018,36.57129263649448,41.34710525791912,43.71368489658933,40.68796282477249,42.68642382246324,40.761123571717704,45.1028222856253,42.89536010502973,45.20243278572258,45.592112169019,42.75522798299088,43.08918478186116,41.51684608170841,42.54521330792726,43.54681469755366,39.09138133930622,40.78314651694294,38.732548845953445,36.89119824272052,39.8922076786729,37.59640205214329,33.919499229566554,35.9381090303342,38.110138860976356,33.58439000937549,31.677939634941144,35.77571522747286,36.375531536131476,30.73929875302817,32.36648088234345,34.96978799626832,31.332854208856308,29.061923503862662,33.41514271729151,33.69757531273829,38.3516415758148,39.409710714588805,39.4095971834485,42.190805600958214,46.96545583972286,50.19590526383665,51.89985065842095,51.5247744481715,50.40277636328659,52.378122485414316,49.37747937471415,53.565786003325094,53.202254876358126,46.96911525461831,49.078612005639755,52.9620612722254,49.27798392253234,46.69408862215262,49.68962789317242,50.61888786198206,46.61036227597866,44.838400543966685,41.958738526258,42.72832013984232,45.67308567668766,44.74498562375338,45.76536853021348,48.04875182381183,44.59665073762453,41.82735313239057,43.811914461601745,43.03290608035751,38.420662499099066,38.57568156825608,39.7427942284284,37.06601284152879,35.304733539346664,40.08109878999573,39.42262732430454,34.89700324364145,37.73636924746263,41.70118596521699,41.48379348140075,44.245529157594916,43.20082543569849,47.244263734876625,46.17236043684599,40.87983905967437,44.385854218598816,46.43114599724542,43.423718925023586,41.970531955984846,47.949744451977786,47.11795255813575,42.01847798498722,44.18941392569841,48.96574663797887,47.14398066358854,43.32745079247626,38.658401361266215,42.55188426490427,38.481615148074226,39.025949173454755,33.79819122810435,33.48455723600348,28.906219425786777,28.902134573658863,30.74976231933946,33.97228805630965,33.9747527621324,35.467494343851016,30.848938544829817,33.25879103631151,28.393179987581338,28.066392631848252,30.80516340830694,32.813730871056755,30.659580681154,26.979391267139835,28.716873098096062,28.922602519932806,24.25134544775456,23.400839380534354,27.072581469991498,26.434117288958205,27.0155230144294,27.689296378105826,29.690430183808274],[20.22390731436111,20.1939013175324,21.916856127899287,16.868866253721936,20.862266008407715,18.300021556260745,18.6314821618437,21.803198582490676,18.477229098076258,18.626244798955174,19.830679634812565,23.28400489534461,23.645153328082884,19.950763096606423,24.49214449174998,27.031507022100545,25.674460693903143,29.156843361673626,30.539526944539467,34.13968018867133,37.00044737049516,41.45943937553735,41.016582050791136,39.9708749122022,37.71047048977763,33.61648573447151,32.73636405704458,29.11026574238953,30.088985425482505,30.37616455642462,31.77163729545274,32.67533657656176,35.48929582838602,38.74617382378703,37.26044276502597,35.30429560785294,35.48183544349013,35.73703265003939,35.726273097612506,41.954392760624685,39.16637945095133,38.34758492921973,42.884366511234155,42.146163176607416,43.75018872691946,42.57731055761114,46.60967507186851,45.946494484336654,41.563223539015524,45.27418507029372,48.26701037284889,48.2431976856274,50.357673666307456,45.12933386074539,49.38743379873198,52.26230435946116,48.087160956046446,46.98789122242159,51.81065229047251,51.9272480852117,47.41288822026254,48.177118779416375,46.044522949329696,47.0132461908037,45.22083656085666,41.93698315363196,37.785831292025826,34.96221254930565,31.448301890245283,28.988772033057074,27.67497354334211,29.04688834884281,31.702945505367452,35.41303798308557,35.612301412424216,42.099448527801904,41.59442488475256,44.529319982889376,44.15398938664366,45.76908662585561,44.4288557428266,44.524526431108015,43.70018530376474,43.83730780617618,40.281566442293745,38.88535089545203,39.97774041213656,40.64379180987253,39.32522096980496,41.90941245871195,38.78814496587434,40.90519984594666,37.35803857776314,35.583615351362575,31.054351097881764,30.52033637457027,26.37250025610047,30.56307869004143,28.87805436659745,31.41503323261826,33.36342193593058,34.00871214972125,35.52295421497746,35.11153184942773,38.73999662680194,34.70845266977334,37.97835487114327,36.988223780414415,33.425292617917954,33.1896824296764,28.300421705540465,27.565967744748328,23.28221985983079,23.34260632804616,21.790612838590356,21.663540897721397,24.023155042444685,24.290047342253565,27.324475805657602,25.73075901107775,22.327099410251858,20.01268917532327,18.36086579858147,17.865362232611684,17.337194699633823,21.30477424349967,22.477865834014192,25.856054530101943,29.220423882075174,33.499482252937334,33.559677230549504,38.026822495384415,38.10071366017499,38.634103143037294,34.400343149458934,30.029166416313192,28.696528216055366,26.31164134844622,23.981647900192705,26.303408987867535,26.599873811853932,30.764609222489515,29.566252634527654,28.130375556819526,31.567724543679216,29.869373134337685,27.22051523162575,26.864959281523525,27.523838914589014,24.58080594986919,27.175610347260655,25.43423506925527,30.13051778760043,28.82628097763653,28.922041092983367,30.24519265212114,28.16952963398244,30.170629693774295,29.995589739785032,31.26682218994928,30.996758087136087,32.2655369432267,30.52576831356986,34.85757481454711,36.027069613266185,33.64959662235147,36.385577406205655,37.81124642120974,35.62043015662359,31.85755392679385,32.67392892980654,30.658743276468467,34.29895932960446,35.43566355894776,36.04925905791038,37.29815214546465,34.84510395781184,40.58573175558741,39.916041532896294,41.45862795702149,40.341034918554854,37.01319053175498,41.35291570973219,43.48464111029112,40.48158265654549,43.01874671761123,41.55805237265764,45.734541767534466,43.05758600317546,45.00372651120686,44.89353256691722,42.237283933560064,41.99934762689944,40.20447623130598,41.06931065437553,41.69324185984297,37.10348560436406,38.795952236339055,36.40649894442095,35.149532164988806,37.83102517912147,36.04124256685741,32.23644699167821,33.47227966423623,35.89180203546268,31.60094201641601,28.79921776405328,32.91617012026049,34.1852378815584,28.192768360880613,29.257025191444036,32.0818856357341,28.893049349960553,25.899206589414785,29.9035101639477,29.95838745624951,34.93758157524634,35.36531678270107,35.88895859280801,38.85973107897923,43.63351494125369,46.83532256776094,48.67254247036842,48.82902445356018,47.85781828651752,50.142893669576864,47.507918692505406,51.52558163089427,50.7041665193892,44.528913676624214,46.9827798891217,50.452045684523675,46.46393830504425,44.183462312445215,47.36236735635553,47.653516167628894,43.502403873503454,42.32934710288357,39.37595412628145,41.008006356208334,43.94951364405452,43.05197140173966,44.61333896344971,47.01488193141472,43.99239792194252,40.72612040461033,42.551226451696564,42.36463561885534,37.71442491456173,37.19512882986408,38.66212992949984,36.201648461379584,33.82616894292786,38.43819337945248,38.088497069163665,33.43043323507616,35.632917755895484,39.62115324008083,39.11428864099372,42.11997667150353,41.29191730994433,45.104048584958726,43.610545831709025,38.270635813307955,41.931341604242206,43.51056245249267,40.29890639822836,39.007805099094384,44.87975543737446,43.550360551113734,38.432103981911006,40.887760782452,45.39724838193626,43.17523639014413,39.33251246813442,34.5847092448807,38.08242818383558,33.81148042902366,34.517519204954944,29.375083048687138,29.6704155714668,25.32884247578263,24.614159804807556,26.691181519109367,29.732115780147552,30.19859576041912,32.184849928081505,28.131036887963123,31.118007401185288,26.619491208088746,26.197517724627186,29.829373847326455,31.80524232383154,30.465806777012393,26.170091652244167,27.3236995973774,28.29866736819708,24.080926401735653,21.989785251540624,25.70263115242252,25.818763026079015,26.622997269292732,27.360731238587768,29.33410679796928],[14.935044248211646,15.43785384681902,18.04633101615783,14.006914545555512,18.94235637893157,15.804304020302148,17.379680423031758,20.396394088633926,17.74888370574462,19.348198318584554,20.803134586070655,23.480403004920582,24.68775376730248,21.857318346060683,26.408026607976854,28.678413096654996,27.865456495706812,31.86118192091391,33.96256880948004,37.104958267891824,40.37444100774184,44.68117371755702,44.52610876735646,43.69641757185336,41.035358745643116,37.082257748637346,35.62972141954883,31.754267938519288,32.350459877743134,31.94455340516729,33.871023658903134,33.82052255163043,36.62707600453945,40.37529832599489,38.83644886127025,37.34130567756558,36.82994889651425,37.81309623002105,37.84983841737039,43.92350264797804,41.55336378175347,41.19871421594569,45.710878393382565,45.13324897533344,47.13789092937568,46.02812754404836,49.977604250144594,48.98600624257643,44.41991353950085,47.9596080772079,50.80730984620711,50.39042023311365,52.61044202737948,47.35575614273579,51.353618214429446,54.67221172633202,50.800957100476374,49.360874107174176,54.20647908632645,54.793132485365184,50.373269377844245,51.086742131353205,48.774371561747145,50.28575555581804,48.49758225073074,44.85517255529303,41.21649911230397,38.03588224102528,35.06806240475566,32.292044546605936,31.4528736663774,33.13244194948117,35.25683072504797,39.10986786608696,38.6504346126206,45.077480467844765,44.33395503297015,46.924621586756246,46.38083462639011,47.971882498172505,46.091823574988155,46.13998174062276,44.70598221996326,44.92828001644486,41.731327715672506,40.30412997444482,41.952393087568744,42.114051816074735,41.537785999602036,43.80549996746071,41.086263157264945,43.42831748514466,39.67737271446401,37.43181858962842,32.815583582940334,32.29306361627522,28.083677814644535,31.48751243474986,29.232176944349774,30.77650651632296,33.480944033871175,33.231277366024834,35.51752032422947,34.38492133852741,38.230700734033014,33.81626615700568,36.63108968442901,35.66196755935061,31.6904128258924,31.52803313524831,26.626181604388645,26.93055609694022,22.81653391933171,23.844057628034935,23.195158777118134,23.713016462337876,26.627880625427725,27.440147496379623,31.010911615572113,28.905038580627497,25.747955726505246,22.895287994200253,21.32836367406849,19.86951610450397,18.149907079567257,21.780581141675057,21.34190749311003,25.212457953014983,28.169829286248554,32.770548164022124,32.61863653005432,36.95224915205658,37.6983725470652,38.1972467579783,34.37225801172529,30.19705739353095,28.509611715590513,27.078607533867725,25.526595849989885,28.141232326711048,29.41785773538556,33.84463012460692,32.566704873671824,30.59210818848614,33.84265683469854,31.822157793005328,28.963679124052888,27.934122615357875,27.80985527839982,24.40067573017386,26.037750027865563,24.078649541795404,28.294992702048486,26.475949391908717,27.50424946686262,29.199865399651998,27.75567146726251,29.404401608125685,30.15195769072704,30.960271904451474,31.415649391751966,33.47199021917871,32.07139222032599,36.424605534987016,37.4619312931754,35.388572079335326,37.477656012805866,39.08633247571323,36.3929564773144,32.91778704527424,33.37562772327057,31.685611209106902,35.183342337722884,36.16116049815212,36.78713408068289,37.60232737045776,35.48804157323055,41.02468789325052,40.72692495930372,41.870219426983965,41.06165575882014,36.97249835165133,41.43044134711458,43.76623623655419,41.08529257706719,44.21369630167082,43.24397707545104,47.45193753927555,45.191965884336334,46.60835445681798,46.31637720077637,43.37149877492213,42.67670169485485,40.46815891065872,40.88152636845325,41.02583086134882,36.22283732730571,37.34455390181373,34.465870729797395,33.06357656465683,35.11325260172802,33.14633901096823,29.601006819415847,30.49537381854657,32.4213170309702,28.052571554705946,25.470551691620955,29.11744155066278,29.97046763470327,23.966751706093984,24.920756207946887,27.381770624085103,24.04612269705171,21.108008717848648,25.021955811845263,25.519575424983394,30.10567419371092,31.33356753664868,31.80854795743137,34.44234308277432,39.445418688289436,42.321948712484236,44.45124764151089,44.681073990330525,44.058548734482244,46.51932122460059,44.17943479762056,48.37844362497459,47.369641759906344,41.397910011387154,44.17040937063491,47.70042676842748,43.691309307827304,41.70251792638499,45.20841598143388,45.39579458499162,41.20226755915341,40.64903392875278,37.100660349140725,38.935538353537225,41.543737544604475,40.0904204504109,41.730619842316166,43.69704426535099,41.02557402036691,37.78121163473201,38.94518702435448,38.806250553194566,34.4105238360203,33.48089478152092,34.55304096311183,32.04424943750151,29.592291160513724,33.95563422618569,33.382512895597266,28.613001823544327,30.79069436517547,34.73309427555002,34.470609330137194,37.7069910101386,37.28626622356478,41.15015606397521,39.30600369738036,34.2332111134821,38.272514797589885,39.663937173519535,36.39512940013267,35.66680979546298,41.498454006964515,39.99351364098357,35.151417205410084,38.05366536082687,42.35795930934326,40.040757348364025,36.38333739161846,31.611227971624903,35.23685534818159,30.991894812772415,30.951216847608702,25.97198042824318,26.087091395921263,21.56280337323387,21.39605654605375,23.90141456733006,27.25318748371733,28.017071033357464,29.555680200884044,25.855236701019972,29.114043680810095,24.955641590037313,23.41719373199302,27.104294743982123,28.514130237012253,27.47212152862292,23.28410467760482,23.530969380502466,24.38029699356636,20.95465554239646,18.05021798308404,21.15580657042005,21.27220447250483,22.049706381872856,22.735142937749814,24.798976022426913],[16.11838304846474,17.574021165289437,20.73137999928439,17.66762619923694,22.34092895377008,17.91699802613519,19.40944517977432,21.439859388231536,18.25423623083914,20.299357251849933,20.897412271209795,23.059012283580945,25.38912229091328,22.583313954796104,26.471991227465406,29.000745321265295,29.016238956397338,32.87126719329113,35.42391145282691,38.609231731746235,41.991390569848974,46.34124111097624,46.471617537846235,45.98705057443967,43.358657979352394,39.239161041391654,37.825981360483084,33.74897421029641,33.71852303397924,32.87043124987774,33.96965202998396,33.939037191667175,36.17376601773192,40.10520767331431,39.10856976564086,38.08978564279048,37.701925855916336,39.357122123545025,39.858199789504376,46.05325140368659,43.967336370145006,43.16409881259993,47.72250371434009,47.538737015825866,49.67703005751351,48.92726951936115,52.903568874146934,51.63567255777729,47.35123095439092,51.13941321230049,53.62578386299766,53.18862086733115,55.10759268050324,49.78424003097296,53.39579779987565,56.75514698654002,52.879235929285514,51.031160223771025,55.78154786022982,56.624645492578836,51.95147976670698,52.161963484378596,49.5159564453156,51.15408230001551,49.76770851105681,46.04812111158915,42.29220447577966,38.831890734552644,35.96771324523768,32.702735874747425,32.04994570573449,33.37932009403558,35.313486971738214,39.547542672672314,38.86887994971207,45.09971977476171,44.84555884963824,47.05083840591549,46.91464024424251,48.93154723175901,47.07891647008299,47.65958420600778,46.143760237712684,46.887560282797494,43.856636821714766,41.93824374106979,43.382052640644744,42.99680919427562,42.38458774767274,43.93615137052592,41.14622492970421,43.07233151547998,39.14858807776253,36.71512838627321,32.30272817670058,31.220358180673067,27.274589303537613,30.75447697023526,28.612237065995046,29.765608525071592,33.2853442180348,33.35592573099298,36.14286426232782,35.41910813876399,39.889158560894934,35.683402710090874,38.615723140877556,38.15998425147974,34.20102159640637,33.49385050748241,28.77986665942116,29.19350575019804,24.838955978840296,26.406394076979222,25.245164381123697,26.36170733969261,28.88368268929915,30.243557788524576,33.14044895066927,30.499044019948244,27.548003589015185,24.678468383131754,24.06194591419423,22.64222443011603,20.814262111234285,24.985016564571506,24.044873142364814,28.184228060541354,31.125231132221767,35.50172621742928,35.96109486036018,40.08706117317243,41.07375788292129,41.04678116552569,37.71031953698161,33.46897284904013,32.3618331571563,30.85138273509827,29.35581541296313,31.565522957671575,33.074857710222496,37.22791639365704,35.45152780818381,33.49820817448284,36.47424090895888,33.95406600280139,31.31392617869752,29.76959941809314,29.596406377119898,25.750664906957766,27.119509348510128,24.258943112714704,28.082214469765532,25.306636552224063,26.342949065447037,28.75240909446906,27.85926034555834,30.02770954044097,30.987167840298707,32.5281855976737,33.71981364294838,35.48680435757874,34.87517275689968,38.99742257158283,40.59558510708692,39.06813825092246,41.21062201276631,43.173990009685866,40.58467498746395,37.03237241950078,37.211553640584974,35.22411198428594,38.25035740405465,38.77949671404205,38.9346789679712,39.30104625932741,36.801726587103204,42.22225762027503,42.50210420528658,43.72128876724109,43.52312493388705,39.29812181686475,44.16400913250264,46.76519712865157,44.1797952789594,47.12953102348891,45.966500104860735,50.31897704376872,48.4889708909866,50.02803710903112,50.017889823826884,46.863109875709455,46.40580878290932,44.200974864645616,44.562532398532746,44.76646232879282,39.958336634925736,40.82978325647112,37.94163131103662,36.05555542713501,37.96429740035527,35.49693056531598,32.23144233976246,33.49503797344596,34.888049528987295,30.29939119659215,28.570122942190256,31.829840428405998,31.812311901580024,26.148793698264917,27.408698723080605,29.314306402102574,25.49891578081136,23.247956195593915,27.186904501780283,28.276074642234892,32.18974643214096,34.50272225414985,34.67982822127424,36.87086160451948,42.04283242295809,44.58907969322985,46.92055818884575,46.876538516341036,46.450877394758336,48.820254590746174,46.43975892616663,50.889330717669566,50.0735200192853,44.227208276586246,46.9610530060432,50.8051357253054,46.99119973519822,44.98867654501634,48.551327007523184,49.07872239277659,44.95609197659623,44.35966227023013,40.56182070734911,41.91202986812843,44.324299277097964,42.489400554741245,43.74577465718438,45.27776528089872,42.499183835929436,39.71106448583853,40.49081831441826,39.84615379218851,35.705956648627705,35.051952343898094,35.47039651884411,32.692786148011635,30.780330025663908,35.02182234385005,33.886189689616984,29.120408255656276,31.88394573332964,35.72508746792121,35.994309794545,39.25535069585109,39.04502718984977,43.12506850545822,41.29146325148888,36.52876093202202,40.74034025976744,42.29659337973528,39.13533420152063,38.72938670880366,44.565495327171966,43.22719411737412,38.622891851871145,41.63029106831621,45.927657170023586,43.753986726846726,40.24898002267265,35.53637700663807,39.3428886944905,35.205309785823985,34.644919605276264,29.831436726446828,29.57130920851504,24.86852923192278,25.4022420283426,28.010852440577548,31.55600361008932,32.24968006490872,33.29230246840967,29.44954195949218,32.44226506918005,28.19276120821748,26.12164401791546,29.086864103146244,30.105210381401193,28.508517503205102,24.99358863222955,25.06943324630962,25.002457572688073,21.808688760521626,19.49542714991797,21.905366230560713,21.070997448986635,21.456253566865144,21.852547690590658,24.032792265696006],[10.275276112442027,12.04800756025236,15.784919151092595,13.90243826154699,19.01361740928675,14.808887950971073,17.45855605764536,19.602601028542257,17.681622693312853,20.7015043607194,22.005415683430865,23.592552519999284,25.912395937883986,24.046809389597176,28.182679181773118,30.18355182374343,30.187662826753872,34.49729866376424,37.39055457420491,40.056661040597646,43.71418087811423,47.835283778674004,48.08067835617668,47.61728270299629,44.60789785162565,40.770792832170486,38.81637031134423,34.70439309711875,34.68380229440113,33.46918938579084,35.58518261555715,34.60675279271229,37.15825442174827,41.36838429608875,39.97573322832984,39.12228519686776,37.99671834111749,39.91535146669068,40.18785143152939,46.06628441153116,44.257620635142345,44.15870766629404,48.60871012049234,48.36599663602913,50.80341572448724,49.93920813029341,53.78625156956605,52.34356827202233,47.78496093319869,51.2512627122354,53.74289273978682,52.93933757827972,55.09304676229104,49.837242004903345,53.36350276906995,57.10156838578568,53.56324579990551,51.63229701770915,56.413302867709355,57.56677757608235,53.177336390851806,53.64419737474548,51.05910771294184,53.14505368723328,51.51912516804663,47.53257769898239,44.405693239242936,40.82860935468556,38.47585773078092,35.30172572400315,34.99108890629866,36.849061907762646,38.35629191327559,42.39250047745216,41.2207251958899,47.435133941810136,46.608408505789264,48.69834327490382,48.12344914759377,49.81780990505256,47.44117343298932,47.65062391243437,45.611610215620146,46.13735052836581,43.409432695959794,41.76471789106807,43.838875872338996,43.29875557376442,43.44636175091563,45.125752463437436,42.83186070101363,45.2438311559893,41.306735909872835,38.58561217249785,34.0546808809201,33.42242154112757,29.36261488112474,31.87601267764858,29.16094228444124,29.514748775534017,33.153123132153986,32.11666884032011,35.297733545153456,33.643500187749524,37.883627048266355,33.301705107542084,35.66492136579631,35.00883700162974,30.761044155836007,30.378745357993893,25.736666723061056,27.09382826802427,23.236023687229345,25.371713772483954,25.34545106051988,26.6723244424753,29.793880171008006,31.30889766850614,34.99401258674031,32.258627843568775,29.4852528412469,26.25551701919062,25.21115041232705,23.04219230148634,20.37933075603248,23.72979487601913,21.556085234040793,25.822899706438367,28.262221050248897,32.8851468629295,32.89803578441228,36.87040099408587,38.36393149544379,38.51581281742963,35.439291872220174,31.52903648667052,29.93693964673382,29.362062876832578,28.591809368243865,31.1379507294008,33.38368829476311,37.805356820032245,36.22240968107481,33.81152941526002,36.68270743414672,34.187712933274796,31.316288789461044,29.476202784681423,28.595957804184323,24.710236987608113,25.200177376964547,22.757029965187392,26.127267399919464,23.505466119284435,25.50639384484617,27.74616182225187,27.196573903600793,28.614570078179266,30.334097860128814,30.96381802324602,32.4366009682574,35.04388796483695,34.36440330111906,38.52077158327147,39.69417098706283,38.25242133730566,39.735956634721624,41.70825642494515,38.684918796338486,35.498272283575794,35.43880837566775,33.908974963952815,36.921067803256435,37.49602699444933,37.8931906908477,38.072454280286884,36.17273568798624,41.34241004812609,41.65367761565796,42.42565390800848,42.21282215885062,37.41899059592064,42.10463621737201,44.73452655527068,42.453094936966856,45.98972540287946,45.40261955631941,49.653321373288975,48.04603062552692,49.00998447362183,48.717169458746866,45.41964361972346,44.45597513830261,41.9090878123763,41.87044299933727,41.61931877010868,36.72131565276114,37.13791496623838,33.88598480469752,32.06025957548274,33.40215438146688,30.99401778686193,27.95536874573691,28.768011250859445,29.844204454083982,25.35634965260337,23.670771329146397,26.519970872295467,26.37355516185452,20.734446087160322,21.831563689105305,23.529351100611372,19.76069684458426,17.500927868846404,21.356204601283014,22.648474738464653,26.318186082552685,29.023060442904526,29.11797887344604,31.115146166550268,36.35219561071633,38.75869594245493,41.18985381922705,41.238076326320005,41.013404195386826,43.52383578808231,41.419637645969814,45.89247175992415,44.875085446153534,39.21929894138846,42.19513671953797,45.95577928234246,42.12357329043832,40.38712179383618,44.16242174828948,44.520292702236986,40.40958609453352,40.34123830880878,36.16493355407705,37.806335044055956,39.9494975184813,37.78559677586488,39.243853169290496,40.549781502528575,38.172924577759034,35.24635993710272,35.57126741847389,35.20348423674168,31.245518423432785,30.09875008851405,30.426052822609282,27.761005122789367,25.570438778764647,29.59004630880729,28.513565581268335,23.687409095297802,26.18347900840419,30.003597873113396,30.27047129534508,33.66777934254174,33.712501233911155,37.72135329715562,35.63744851613761,31.040884541506195,35.44920656874393,36.80965842343831,33.62819011519263,33.58346009509414,39.31000413574041,37.8592884065745,33.48666610298645,36.74994756291202,40.845584922054734,38.65676066899582,35.327345395164464,30.700174546720227,34.589989000367424,30.616031146847035,29.538105139212707,24.925262430906088,24.4423091579888,19.76124939630234,20.77594504210359,23.546651653300614,27.215670651069722,28.068335744505134,28.736267208336947,25.341335764511104,28.525775340840227,24.785024920447153,21.914494712049308,25.064976673997162,25.65149545925864,24.65032755467303,21.085507230491515,20.290317929337014,20.476114559792634,18.178712929094118,14.854608096265068,16.751398827146808,16.372444995038958,16.946198366018333,17.477281785521665,19.701661438627564],[13.679429635011353,15.92524375743074,20.02577064926375,18.23864029391432,23.529428969713177,19.40127959289495,21.904010832244968,23.89667895939047,21.577325392950648,24.387173730408726,25.27209754720695,26.916792302863215,29.537924755262697,27.28499045184555,31.205022344129187,33.49201197116821,33.63414017166949,37.73149822711503,40.47932467837183,43.42983349475929,46.95532868832315,51.20577382921352,51.38605799002014,50.87988986405926,48.07409145124134,44.08826953513213,42.407362311164725,38.30484042438721,38.25645714436151,37.12816967083441,38.66895531899937,38.06056339687633,40.3223332004159,44.49433612291932,43.405513647361566,42.593287842810426,41.76070771509532,43.6845881034128,44.07315058199214,50.08506826487161,48.16503661083747,47.76831164247271,52.27736082188874,52.04443466135447,54.32098838959135,53.45189393566413,57.368493537929425,56.06037826299105,51.57932981514271,55.149645216684256,57.703529827307385,57.041080544657746,59.131968616444176,53.846391314724336,57.40491902782845,61.01057412508397,57.3289300137361,55.41492604193385,60.18089799163303,61.21986358206073,56.68492456179245,56.98743930249482,54.32312238006661,56.2081957992764,54.745396004784304,50.88033756246013,47.411536999358304,43.864813381903126,41.22851049130165,37.94506930089944,37.44059915786266,38.90333613800718,40.68031847937616,44.89897990312179,43.97924780646727,50.164063299234705,49.72501950953917,51.78392517514836,51.490380117966836,53.39795070688634,51.215767840917835,51.633202905723955,49.73331774105989,50.38234672969464,47.575640029042354,45.80493769038472,47.64288898607854,47.06883789567075,46.92937787706068,48.40032305840835,45.88110321394911,47.95584585966201,43.97295440866108,41.31830649405025,36.90809431690818,35.885307268414344,31.974768101772124,34.893680445885096,32.405986555195696,32.78184804988417,36.737651020640094,36.03660459700416,39.30821476441163,37.92107748570718,42.323601221215895,37.81446497287574,40.21792363142062,39.61338251681187,35.359179672264446,34.937660544360284,30.324052074775153,31.610560347283844,27.638118885898503,29.65830096200992,29.26029000014026,30.48441725028646,33.383269207555365,34.75895010658093,38.10705877799047,35.445729412137005,32.551749140942626,29.506482743153327,28.588825424925016,26.769997646700794,24.429605748310195,28.012051730732882,26.116634272777105,30.368142216475597,32.85798188356473,37.47857656161964,37.46115201640554,41.46015110565573,42.91872603488762,43.10517527315489,39.95515812879773,35.9943025936389,34.33912849103454,33.61466216455912,32.600623471849865,35.14983070594014,37.00984393228048,41.399802071261526,39.83387986702426,37.627843593763025,40.58774910314253,38.09415032032007,35.29747846478466,33.54123001145301,32.856699950453134,28.912425460405075,29.513244287894736,26.751001845377232,29.997646052703907,26.866631758025214,28.799613217165653,31.408956652778567,31.00987800539643,32.73005375901878,34.35188530313539,35.319894916965886,36.812215522366806,39.18535792625122,38.51653909553258,42.68839276136853,43.95142874245891,42.36374402598605,44.029955675634504,45.880840720166326,42.90283362105943,39.662098899548276,39.75948429274798,38.19463521923539,41.29597027882954,41.88714752133772,42.21504008530623,42.391562554999034,40.288683402873914,45.50157367572473,45.90019809624463,46.782690689969996,46.618018914324345,41.92017280757085,46.64782959458339,49.26679862740243,46.923213833809925,50.34882630166217,49.60687319163815,53.88612437473779,52.14047305272914,53.272072757793666,52.99033278455554,49.77567981329703,48.85931313980784,46.35774616215489,46.36651248730918,46.09996594924153,41.19437888099529,41.6282728162668,38.300337675335065,36.57589392781848,37.757073058355246,35.38202747551469,32.43237917692721,33.03739132311878,33.97996835774936,29.576061263047514,27.81422861207693,30.415959733778973,30.170088410785876,24.633757666069652,25.428362334262964,26.82417754660164,23.157636254844956,20.827589219848665,24.165713960305116,25.753269616205763,29.098688582834242,32.05886482321383,32.49223162900711,34.28350251107217,39.615431239697195,41.66645385864737,44.40668328005018,44.70799674786758,44.75522465716229,47.398448720656624,45.50863644827974,49.995066952487356,48.821806230218314,43.31648507683004,46.435990515331895,50.096434219054906,46.20117498256595,44.63603340367256,48.48724955824169,48.635831349638266,44.493173893186,44.68915873026639,40.463036834437,42.28981664093608,44.36165426411342,42.06937897191652,43.55544952085881,44.65963322257313,42.41686693600346,39.570896088525686,39.601133597235005,39.1902834682119,35.42912192895441,34.15863593264739,34.17703941026484,31.476497651226538,29.38197975472643,33.09623841616744,31.753173415051368,26.938568517402622,29.386428044803697,33.04943818643608,33.568713818641974,37.149661165965746,37.52723973770907,41.48625518532639,39.10417309669826,34.77511634625206,39.36319554582955,40.47028507427306,37.22710509508031,37.52047953150256,43.116631920453784,41.37021849364633,37.16751597785199,40.67461043237498,44.53607036718838,42.09156723452987,38.844109490216916,34.210858554464174,37.75749392397532,33.63717744018196,32.4212625154739,28.070654819991574,28.019730040785163,23.527087252118204,24.203063042041205,27.220632907767264,30.759384335383192,31.947632455493032,32.805173237825876,29.695243270151405,33.009027752137875,29.345888309261937,26.42466626038877,29.563453153209043,29.96651421469678,28.949643265578597,25.5801540764503,24.528406647730527,24.48128382637451,22.507454155985908,19.209354871770213,20.55928794456405,19.84876828486815,20.115482956255292,20.272178407890713,22.39057555172492],[10.806605502430376,13.144474150415117,17.697108836655833,16.862321920947746,22.515277984828526,19.41629918905107,22.68433156464831,25.02402697184546,23.698330471896625,26.832165114137027,28.313952470019977,29.806702237869448,32.06714902020886,30.28303886538687,34.51296692560427,36.456025884302505,36.311736135476956,40.663021620648905,43.384699137125196,46.06357492884153,49.66260548790038,53.77254372004656,53.87848846562354,53.21940601066197,50.22777911244348,46.47569047563225,44.52182239630808,40.51573848108118,40.72372163935818,39.567085818900004,41.90372447495536,40.79417806585323,43.38809038400284,47.64785529702782,46.18004423014076,45.30134504430169,44.02036687194332,45.83619449730409,45.905965835610466,51.646862289100554,49.769803475655046,49.961307800310735,54.3738895774778,53.92856345290533,56.28256841375865,55.16756997990055,58.98514824887223,57.74114860536052,52.98689865096747,56.21984883473566,58.95787147243138,58.089475282133925,60.4612015915146,55.274667107081804,58.93844639895722,62.73916561440224,59.26652116152017,57.48884190620021,62.29610182382257,63.39654107876277,59.13431748625727,59.774778303228665,57.272894550585924,59.33278347820266,57.59460982142397,53.63511806377269,50.52353025110554,47.03573228750071,44.59051860969652,41.527766391331355,41.093973673624234,42.882098387294945,44.57070273545268,48.57555569853391,47.51957644640365,53.762005362266045,52.87668539523455,55.00544057734712,54.34230591756412,55.91574019765802,53.430651217884645,53.42336295377624,51.23714168895098,51.53540078380087,48.87450389231842,47.48331869321302,49.76307556921604,49.30277505921026,49.60414307731551,51.38256332487799,49.15112757452438,51.59743509657222,47.66085282371722,44.920370009264445,40.39802916289155,39.74701193385171,35.712219874778945,38.12809120373039,35.31370332638126,35.31530416427904,39.10588786873683,37.60971948223782,40.964905845072224,38.820415511319226,42.781596529241114,37.962573666412005,39.81844702624268,38.82950571366872,34.377624727456016,34.488841453921395,29.961245511493434,31.92117346526308,28.482251922867427,30.60847396758023,31.089944176321243,32.15943148865367,35.49900472224876,36.684057336461535,40.68078086462042,38.2229302678116,35.33689698299034,32.163183490203075,30.66277478633463,28.49942365148634,25.81334377123442,28.56313148073322,26.083813847286546,30.189320112552014,32.22406602319701,37.07517076908879,36.35538451803001,40.27072872096497,42.021960956838996,42.634310787851575,39.47881588687765,35.86971233645859,33.5255550316536,33.573356303480224,33.02107727917996,35.96100611211792,38.06632055473356,42.70427555295795,41.5258007587312,39.09327768300166,42.09886666109416,39.86498126951992,36.87323552793145,35.176780281830744,34.087160725435254,30.338637563866083,30.43028630959426,28.280105477224268,31.24219481706441,28.484726884668977,31.044226917804927,33.345801433720546,33.02679937351338,34.084552601901464,36.11476364710145,36.22031503402519,37.595507324198934,40.599642373873735,39.548698765931825,43.80668101492734,44.512550388142884,42.690415552454716,43.86277397037597,45.46249628623464,42.12724156215026,39.259412158924896,39.36964528942563,38.3319862880531,41.63656338477227,42.46951498087281,43.1629096011699,43.39097007683013,41.84494391346796,46.89302489408064,47.09529631477206,47.63824356807309,47.20702205106905,42.20979574675517,46.565405258519256,49.04907196343609,46.90593695232941,50.80655174727951,50.5432869122084,54.65691274307415,52.83198447991186,53.51721349927669,52.87728251849005,49.71578701121562,48.29352745306056,45.54839757895553,45.25768866261225,44.547259563075265,39.622255331023574,39.765387274970955,36.094501037185395,34.77044500299973,35.353985950587,33.35954671326824,30.594981698534237,30.404466847232793,31.205220053052855,27.164039824466496,24.95882942574258,27.09754323922726,27.148121249586765,21.624902062476394,21.7795331580591,23.00485358893532,19.843093240827137,17.03253494351195,19.72284003666816,21.43511393288907,24.618000346782434,27.55803116541962,28.36106828367463,30.028142358682224,35.38412579723064,37.19720248301653,40.156105305328076,40.90235738460473,41.23600898084676,44.1498646229766,42.7150193888726,47.063725102771656,45.486498545025086,40.24559219584961,43.69613388569817,47.00937042566729,42.97481660628647,41.81104385548779,45.85458170478364,45.51505322588952,41.358228085817174,42.27033742264286,37.82394799982552,40.28574055033307,42.13518222425144,39.67030322582748,41.556215186285826,42.53797469813007,40.83710864454652,37.70555442271919,37.31369071144285,37.419558084440716,33.870518446918155,31.914812425689156,31.99713823804752,29.577669319424384,27.00305841586178,30.282152217860784,29.158318766585918,24.364565787141384,26.086201165846315,29.629997391292004,30.010106674777663,33.82937636810901,34.584595125256,38.277828639943024,35.431161408156875,31.330766321787358,36.112938769718966,36.72930484525941,33.37783794245704,34.11832993264558,39.45612776858334,37.289796970353024,33.3540890898431,37.22044374703284,40.67809645236231,37.95832510326552,34.893339446889975,30.35702148146696,33.58412006096937,29.50063629043989,27.898772774416567,23.94374659239209,24.229380712389858,20.121433581890297,20.638616258566753,23.921212896577345,27.312352090186288,28.949549146668932,29.808342646600032,27.504304808326992,31.153318576188347,28.15599143043409,24.787612938928778,28.372734022009208,28.44525320527605,28.278643651805627,24.741698397387303,22.81260489298279,23.353167861348524,22.34754899126592,17.988775794635984,18.746959470194312,18.838250900982008,19.281437226425172,19.45758387806891,21.32143038852626],[6.257095566952156,8.959901033226547,13.785166840802127,14.55628862614652,19.849955117133213,17.09679042310812,20.926036437906568,23.05813665291139,22.758217999235338,26.388436426955092,28.23241654249023,29.23009947678747,31.428808179190273,30.417972787699373,34.63202561518501,36.13356225405566,36.06360747015706,40.64777562047673,43.67079623538016,45.87418929825426,49.67436287069839,53.539321725756125,53.80917993648463,53.2639723865435,49.98032694556729,46.487696307535906,44.11348909674127,40.11909135926292,40.22470813680716,38.757514944881876,41.768814966936404,39.95167267056318,42.71766256809133,47.11701055294206,45.3835841032408,44.68755687142979,42.86160137643508,44.92606218092469,44.885389072131346,50.28953881350015,48.728808405178654,49.41300748719509,53.682495081538306,53.28113303302956,55.90432670702547,54.81086688708996,58.48283578997971,57.011489705142885,52.157468478346345,55.152872619007105,57.7542585894316,56.58611917592898,59.050074981225464,53.96574126544143,57.439597619556324,61.51583063244798,58.360711570019596,56.45853388070784,61.22432943491123,62.620614407749855,58.59506314830769,59.368837238447504,56.903473923248605,59.34110805538572,57.47143599520511,53.31597935142938,50.76460732764268,47.18470632192341,45.22635117112588,42.2215243690268,42.11198514430556,44.295716454390806,45.560277292038464,49.389702242420896,47.89668472638332,54.036716106326494,52.71889001377795,54.6968479972578,53.71098414492965,55.041239789690934,52.169201823083405,51.92704586086941,49.3498513244624,49.541957674135155,47.18954803690962,45.96801114545361,48.68511220695953,48.048174860178435,48.948998961202854,50.74925761279568,48.94574281862244,51.738038886996236,47.83597153228497,44.90612965560453,40.37675066838479,40.084374488818916,36.04953829990471,37.68465754608554,34.53048872935231,33.966591064808746,37.70031137035759,35.4231163094565,38.98807626943827,36.214536491128705,39.94394698836177,34.98659526038041,36.364498354909216,35.32082599341129,30.77807917609393,31.06416993286325,26.809121453077886,29.44808212607003,26.54806542591441,29.086429877360356,30.335373846642593,31.638219056484022,35.25483472919912,36.67078075313587,41.067386700367585,38.463519279484835,35.8373850663632,32.464519874209756,30.892029734299513,28.24034638976832,25.050480333837832,27.10808760254006,23.69563641091158,27.715122571814973,29.250646517922128,34.078489590425555,33.17432782203301,36.809826370141195,38.9739252810919,39.580360468846386,36.82529645217561,33.569351139737776,31.10076635957604,31.866952083477496,31.943951250115678,34.91599405795342,37.66020856676479,42.320789197049834,41.16712697087918,38.41387749621725,41.19346932788045,38.92552372895637,35.877722097705465,33.92062149729048,32.31657360789902,28.661522529879225,28.051491466895442,26.311033745109135,28.774185109865293,26.33654032256254,29.45975351775506,31.496549623921684,31.441260448883487,31.903588900956667,34.44549110123988,33.90824670293327,35.55270131490048,39.08284782972192,38.16016186340257,42.28674361364574,42.766366704566664,41.228045662972164,41.85904955924253,43.57648510263724,40.00743039875031,37.46700896657461,37.2701383939587,36.52837875284814,39.599598503516546,40.34748903060828,41.13011608454039,41.14362406799098,40.060170916837606,44.78752246326079,45.07248527224818,45.264227562416615,44.92631013726833,39.57240371798477,43.767548247258425,46.288636734447806,44.44720825062525,48.6989651326021,48.860193614260794,52.858516933712416,51.37148635302878,51.61102842584052,50.849166919395515,47.546717587962085,45.826787102405724,42.86433586435847,42.25403529393172,41.2420937291496,36.3481789321956,36.0647209485444,32.213355063407136,30.828016378858365,30.94352277608462,28.935899469363054,26.48233611154056,26.03459025160029,26.454892982935377,22.556963549539415,20.677124869492445,22.320805800982956,22.095707499418197,16.797682790800895,16.89400264154847,17.82531369867602,14.669812036359929,12.077284102120906,14.745537530260282,16.739172834874616,19.573521975198148,23.09958099220319,23.560139946693763,24.998662953995463,30.38936766169232,32.175505108554404,35.10302592190722,35.731381997595825,36.15378275686058,39.08564812557653,37.78887177361294,42.1653304896129,40.55271798890761,35.47889301287145,39.019065319267646,42.35143861173519,38.417391923745285,37.4030965015343,41.5520236488511,41.26388927664064,37.19751182487874,38.388314092486944,33.66612164936507,36.133806466032844,37.720739502325294,34.99598634505485,36.93456295217391,37.713684305500976,36.30256087249683,33.16412588017436,32.42966485538968,32.708491899792676,29.369064814819147,27.098047689428686,27.100835854538346,24.82419323867807,22.085161541981716,25.15289132343513,24.12233442150473,19.36362082836816,20.849464747778057,24.385698618651336,24.753044114951752,28.6041879205567,29.49240793906195,33.145136249257384,30.227340467832413,26.272330170918167,31.1438135642935,31.7297687916563,28.442032054073508,29.43490748114162,34.67834227234098,32.62242492553697,28.91557480045445,32.86681478496202,36.22796206705265,33.697569945480595,30.82298145762619,26.461549584274216,29.94663236113809,26.204160518699428,24.056625540036453,20.311814562714584,20.040001953143722,16.00801936733783,17.360913302392213,20.56508649865201,24.054646308784093,25.595803544205154,25.869241986978594,23.909451936307505,27.477917262037636,24.994480424827188,21.01468965963383,24.465126045813964,24.12544623671449,24.443877555056037,21.113538103799627,18.471165519258758,19.192513518577776,19.122994110454627,14.26611037523925,14.269848217447393,14.889906705163114,15.557599584317705,15.91834231622065,17.672286925813722],[9.703748086690846,11.20096026189497,15.547899068685535,15.558303186563252,21.21139911523923,19.72803946162723,23.467646405947345,26.257241010127114,25.921462385164368,29.060845352155255,31.165218567751054,32.654530243299405,34.2667788318293,32.89146463387975,37.437861175197106,39.00752386096741,38.41403917751265,42.93137053279552,45.476737507260715,47.87005377240575,51.45693434908155,55.38508787203239,55.3504983549081,54.47834797291631,51.346668019375194,47.899251761797096,45.72223873169809,41.923133067657645,42.50799736643725,41.47051322361124,44.65107438532682,43.155974123069846,46.157320286195684,50.38250921294941,48.456100953892616,47.39046172252444,45.722292573114316,47.22119384431448,46.88494883600915,52.27201300551058,50.377208344638355,51.208623227677144,55.470624017635146,54.735641618670435,57.09920388673887,55.684235602976734,59.36398704796616,58.25953127015824,53.23751728318659,56.06333874748105,59.03348212868546,57.99570197881008,60.68031518732259,55.65583398588624,59.48955673907146,63.410534074376265,60.15408333344407,58.63136208653753,63.46047149107141,64.52858610106145,60.61330980366012,61.68500581137989,59.44065056980968,61.59648502533062,59.52121603956239,55.53936319055423,52.7987010323393,49.473183199178074,47.195077122263754,44.47701767997046,44.064275272231114,46.19383785201367,47.83295083726782,51.52302070784383,50.41832248513052,56.71451123458646,55.320719712739425,57.607118195453864,56.51814825874012,57.66716168781682,54.94414192629531,54.410224431067206,52.033535207389704,51.86010994771657,49.30782756779552,48.41431587995281,51.10131461032071,50.90923811075127,51.58418812937878,53.81777482205078,51.860958850933656,54.714982470729595,50.89776352486807,48.17084687035842,43.5422228301207,43.348162541317144,39.182573683549265,41.17676898623478,38.127283610737635,37.99533846750427,41.31437563599738,39.12031725500519,42.30531013664264,39.44137234164747,42.73629187111679,37.672417651841855,38.96384832615291,37.46214840017828,32.925964360708406,33.72018967600948,29.341523034141492,31.807545184119864,29.036695068114767,31.028250089705026,32.39393728821284,33.15343519983635,36.87552515650677,37.74225390565593,42.37612206930355,40.26165530247806,37.40214968620075,34.20328716123686,32.05237437178892,29.652808883375183,26.80281578425801,28.533469016677508,25.752286002758748,29.470482265242495,31.00922777491831,36.01761429228438,34.44991948749658,38.271386677868016,40.187795675977156,41.36010070231967,38.10577889517311,34.93690339828357,31.827853456794784,32.65614704600418,32.56006484053812,35.868850414264294,38.10179044941153,42.923042700784826,42.23699425271097,39.645809077037214,42.69588776130675,40.86524160774783,37.714396118021966,36.24978572088905,34.85668777375322,31.51515929452601,31.266558771052914,29.97630072067313,32.77264840999342,30.73469480554094,33.659181010760776,35.42725841405687,34.98541908278323,35.32575691436589,37.56584998708436,36.71977620224575,37.730856473012864,41.306381912575674,39.721093768210515,44.03199535922613,44.05945756434052,41.91193980917342,42.58060656102689,43.81793354481975,40.16925831397118,37.74778973038293,37.93870851235908,37.51014095017262,41.05939278193374,42.22747926520423,43.375015552757965,43.786072232381706,42.86141348416047,47.73170679755797,47.57333356421228,47.79144314630383,46.93495609369178,41.80251854413561,45.61586782155924,47.85453728400542,45.897051011946154,50.226418809154985,50.45641915036533,54.32224061846512,52.32829442888779,52.56173387160377,51.51821868757441,48.50702675930792,46.563547338359584,43.627579426431964,43.072273968666714,41.93040667837584,37.06703307465488,37.00659764512388,33.06560154149761,32.345982838669535,32.3858988677522,31.010688519069486,28.381537286466905,27.242556591451542,28.11410417648416,24.640683109163753,21.662122468430884,23.412425529268457,24.2049794661094,18.706041505676158,17.96795136499115,19.280020661194623,17.07827771541729,13.43438404624021,15.198077649091724,16.676512729992606,20.044347172964162,22.336934189674285,23.695022862166983,25.452439896333054,30.711945473619075,32.47185725616714,35.516118633174706,36.81906706463897,37.32458443232683,40.51345833079004,39.53256649983513,43.60154297136381,41.57370991664626,36.570113995109615,40.3199787927236,43.14447695588476,38.92136691789078,38.16450651125517,42.33547309632082,41.3904418633371,37.22454201434845,38.85483343764917,34.337202232706666,37.574078276231496,39.26493602099137,36.83188433189591,39.22864141420111,40.28044446603589,39.134071415293015,35.59985288511482,35.00320444220948,35.80732517561451,32.40376361724233,29.74077622092568,30.201228764216953,28.23592599205331,25.029734054134195,27.871974839652417,27.291508523224394,22.686434203765803,23.312184949529264,26.71434287911115,26.644760665469207,30.617095845016937,31.6079630028685,34.891980475690396,31.628761209239585,27.64455110388251,32.47297619252681,32.521138662672364,29.034720923854547,30.075164733981833,35.1059760185531,32.45492085847331,28.70870695732028,32.87296506676183,35.90379617470719,32.85893996014628,29.93234042627888,25.504925912799337,28.30704671271823,24.24204199918782,22.41177352313821,18.85852473654523,19.703911897093963,16.248215910992464,16.253673123691126,19.74265595536152,22.824422122171374,24.961711141175204,25.977998486503154,24.65789686190749,28.644270664870373,26.446809085789486,22.952038365237435,27.109984564338582,27.03187371578907,27.872584152382988,24.063696253351782,21.475210561755357,22.94640482546338,22.730444099264105,17.50021505251782,17.95316307263211,19.20339901362714,19.929354144081987,20.232224713657896,21.6484404008043],[10.277043205639433,11.750706303435203,15.900627199392252,17.390869773889886,22.552478171509787,21.53875876953157,25.57522553269503,28.106551757086564,28.4232036742562,31.86537807015912,34.0913375030208,35.2104453315267,36.89248118662479,35.98102899567398,40.443049041432324,41.76755340658902,41.27938032342088,45.906245222079704,48.62617367801081,50.7350287516676,54.4267107514679,58.19433401643423,58.25110901024381,57.43329523920148,54.14208489876202,50.87405032643151,48.45799403910864,44.69411378454073,45.20643420812994,43.9530294489476,47.48003556712681,45.53588347108442,48.56381396856736,52.89256532054353,50.85830644885351,49.96024285901938,47.93806337692409,49.62983681903545,49.221089548817396,54.33533034308187,52.662436991178694,53.83415654118793,57.98218537542752,57.26044351024199,59.77238820496634,58.338770125026265,61.9038034627812,60.69156013867502,55.59992563077077,58.210707556861706,61.116739417743105,59.865934260447766,62.63737288255008,57.718164422438456,61.40884676702294,65.51767446509281,62.49988821857616,60.90418296748947,65.68586629233897,66.95253250536335,63.21101282178981,64.35726907775846,62.12706106754256,64.52135853216895,62.38286006843935,58.28985531185454,55.88959828211342,52.509292961367834,50.51293221980775,47.805745885917624,47.57001133292082,49.86465998352767,51.28227412315207,54.90080457072852,53.54424014004075,59.749557475950226,58.13827925776634,60.28884160083886,59.026515162489744,60.03414959034886,57.047462702859136,56.36176422153597,53.692020946524984,53.43802986372727,51.14517486691888,50.38798427627622,53.37221645429019,53.02882854330404,54.11604658036008,56.29601216092055,54.61838234882207,57.63266805930667,53.8238488879172,50.961093076895025,46.37328381662039,46.314575330857195,42.20349282607682,43.71683875999084,40.47516942354872,39.85922448796538,43.25872768169187,40.509148766028986,43.9032095992014,40.57277035837832,43.65307564654524,38.518271695166916,39.30211018920758,37.72515645637763,33.15574426909434,34.17159287270199,30.14989574706663,33.186807007379464,30.90085098075401,33.152260810860305,35.02061647331639,35.90548422593722,39.767960521822744,40.73671734974118,45.58698682348715,43.409789874754544,40.70389038693172,37.41927119797585,35.23577761536124,32.596400290316886,29.494443381930473,30.70542145284011,27.308035489637614,30.838427869561848,31.878484123834316,36.81051288576743,34.94990694227289,38.4563492844601,40.74553164279282,42.008895820065106,39.09935696002863,36.31456585968445,32.99688876528849,34.46536035063608,34.829910087281895,38.182178000637414,40.76090449720862,45.58697881582707,44.98515010808456,42.21760229218831,45.11177620832074,43.29613381565842,40.12890158114171,38.50541177919325,36.756627110451376,33.51122203881599,32.703327199485955,31.660969634714892,33.93259013355739,31.97247428951633,35.341941150875385,37.034369647028484,36.89152775439679,36.82643416154983,39.46410240295552,38.163013305461476,39.38187255474904,43.33111117932962,41.81808659830489,46.0103873369398,45.80694238701908,43.80040601734857,44.00994125896017,45.21654260601095,41.36182564831005,39.299670090525986,39.31579053673136,39.21782770156317,42.61342173203571,43.7470668885936,44.981282849245915,45.215066825094,44.65810852901787,49.23035831239473,49.15897997351769,49.082360320994475,48.29131693682711,42.90033484799788,46.48998274053779,48.70455572401212,47.0303103955806,51.65571191844742,52.247477962816376,55.981087799355265,54.19516309619421,54.05313866914061,52.844467962235285,49.79334352666528,47.532424246070875,44.41296370535017,43.54459984448789,42.03381537818628,37.269263037443295,36.77068217815895,32.61229939900926,32.03861348208088,31.38784833439564,30.187822584023152,28.01988708653383,26.314026094542278,26.684466047510146,23.681093872166713,20.9185970044022,21.77060200670323,22.369123318738968,17.51528439364128,16.21369813362279,16.845963107670176,15.288888786041534,11.880113252370679,12.38836052346357,14.334439240816756,16.80055567189764,19.728704290181135,21.204468510089086,22.464426168479175,27.70411975252245,29.027720515373566,32.3283151386385,33.89345280516061,34.78394134134787,38.135337328766525,37.6094411687782,41.59571993322519,39.31070870210261,34.745649397201944,38.72108045661248,41.32904897372039,37.170212242452365,36.821121866293666,41.12442170150149,39.93850651097327,35.90262371040897,38.167488039618554,33.398142320951784,36.88540377682095,38.2000792226673,35.447694367660425,37.99096956073685,38.68256448173419,38.06024858196804,34.55827827833906,33.362271879019666,34.441535487354486,31.48990783048427,28.350216111874406,28.561295472129572,26.873824750008318,23.5606827056434,25.709823923058867,25.163306652015553,20.867505476808187,20.837727614921974,23.893450533472127,23.910987232912497,28.020368913064644,29.48795380252367,32.5049104924314,28.84193381390768,25.402392010120774,30.37093830164799,29.997677547911124,26.56201607546736,28.24398553011448,32.86560492245208,29.97056245374464,26.774268931999785,31.23452801919676,33.78487185522112,30.665710101458508,28.12467727596124,24.034163965885863,26.58880370261594,22.883435588361717,20.265423613382268,17.53326990622929,18.32460741099239,15.58090539570545,15.999995110310858,19.436132172274167,22.27531497940783,24.636612833808464,25.211207943554218,24.706836899095382,28.640326476397956,27.160346561815704,23.18499818175378,27.15063523939715,26.553282846016355,27.960144788845355,24.53290531012127,21.180194393687472,22.744805833575555,23.602075946994237,18.16035285426351,17.609515066632927,19.183975689080736,19.8264946639993,19.99438996781854,20.989327253484035],[10.162678613280832,10.295543369883147,13.641845802771602,14.624994559873999,19.69648843108261,19.761494955638696,23.69265119032826,26.698291908485807,27.274261972953486,30.357292651559728,32.93672237820988,34.331413080452904,35.362898612459304,34.463084402641556,39.154982233027106,40.33000445305711,39.4041519154495,44.01654644484736,46.45637821123563,48.49236479603085,52.07250936034136,55.76403741480235,55.662780084755155,54.669847058198975,51.392439044730345,48.279625081209254,45.86385984069554,42.28454529393099,43.129800224299636,42.15351910701009,46.070531864472194,44.18787164394575,47.5129429444603,51.66960444749338,49.34560748226059,48.16326168963075,46.12478245325054,47.3814665988649,46.709248224465775,51.68731644279887,49.86398546554015,51.28212177972163,55.35043685101968,54.412148362649006,56.82628494539547,55.211076168100945,58.7158956563243,57.66420415812938,52.467922937591574,54.90195042245798,57.984664154217725,56.7633383181626,59.68551628422447,54.85180808516231,58.74690659464986,62.781737800174376,59.784219313052134,58.449565651881315,63.24972010690632,64.34123899480981,60.77611737015764,62.205664150927134,60.19237354328743,62.48248456831744,60.1307668489556,56.12541335637448,53.8206550310909,50.636614878373436,48.62283465273539,46.213251455473,45.897421360326355,48.35536797417484,49.836235773940786,53.20547503152418,51.98031555789668,58.24063887858276,56.368844296287854,58.73941094714637,57.25866914069742,58.01179343557371,55.063409664692735,54.06998632815748,51.51180925436163,50.938605699105395,48.55013005982677,48.096797963458066,51.14616700316236,51.151512616344625,52.21092880955101,54.801188099054926,53.15334596599977,56.3721388585429,52.69590751637053,49.98411637348898,45.32189750419835,45.56302567437838,41.344991959948445,42.866547472603926,39.642154853139104,39.386150913523004,42.20468206002529,39.41249185201922,42.3838894528387,38.91807996575122,41.557222632168305,36.3700127819281,37.12558324307281,35.20208302872788,30.69153984833867,32.078556240535235,27.974842841696805,30.84660646467817,28.791994935309827,30.662150724943984,32.81682391526215,33.36662962827777,37.34613407469952,38.01761332447718,43.135328596402026,41.273421733064154,38.54945519974466,35.35372810259476,32.76972653378279,30.153206044073542,27.180677763073977,27.914285080750357,24.853208011663938,28.077408226768938,29.08124533174433,34.08847534477868,31.822110913323524,35.460143469437504,37.53020314935795,39.14067814889415,35.91873135212596,33.234657222174626,29.56319056167043,31.147386303272743,31.558408466167716,35.069290283785705,37.520370767013,42.39213178752255,42.082732742689295,39.340017982331545,42.31349633901683,40.820672840587925,37.59801506288253,36.303140524495696,34.62619324127942,31.729634081376307,31.151021680397367,30.67615342692699,33.25422391221456,31.968977735473512,35.10137913584995,36.324113129505605,35.778988797584006,35.45784087522328,37.852415458051084,36.16215722855643,36.87326308122115,40.91942471334511,38.964524746624335,43.21508802306789,42.67132865803931,40.374534323846774,40.51862835840693,41.49404712988411,37.604288951561145,35.64542669872273,35.81968205962074,35.93827238433947,39.56320574945971,40.96357328751585,42.47386086483289,43.00581196528788,42.66576285501926,47.2807858326955,46.82887564927845,46.73597363440741,45.552527014525886,40.34299046158155,43.630265258538515,45.646356212809,43.908833175206894,48.58256623741636,49.274233895284816,52.88323079980884,50.856817107940735,50.64440070293569,49.279276400690016,46.38472972274276,44.00283561918339,40.91352200178122,40.09918861671932,38.581574407471436,33.84266419246627,33.56250501339973,29.447334681012464,29.25688074550617,28.823681283368025,28.040137248726214,25.58877170095952,23.626515381587673,24.586226341777575,21.74204245359455,18.11960705670483,19.486164116044947,21.067954811021238,15.792689645695818,14.213017897334053,15.735650725423156,14.674810695303934,10.38821158272332,11.152093105821086,12.073895760922133,15.824005592912144,17.2005076928334,18.966923202994966,20.925770830189887,26.008628044874694,27.912087357772702,30.855465097935053,32.53940661801729,33.069096383876264,36.426444235772344,35.77092284286902,39.55502254257811,37.20285907757762,32.3852416296172,36.322160857721464,38.73513815872797,34.392646723165974,33.9488514284559,38.1774422453727,36.78832997785482,32.65147079120192,34.839012454133496,30.302442642175823,34.13398996251545,35.6752651909847,33.33830898741685,36.14953379848102,37.32344224441569,36.62792334200675,32.77246109843294,32.11143327480826,33.53595872821386,30.266578618312323,27.075819458436175,27.99207153869449,26.50914432177228,22.805291601223743,25.271527243048457,25.326172960022248,21.082509727029986,20.658842573413057,23.892294328907155,23.26185959152609,27.21215558675288,28.254027050607387,31.13267817260082,27.655818652596018,23.70691676009793,28.43617004724334,28.056244424808675,24.490560360284555,25.66835863030997,30.42722973723042,27.464662904763465,23.838074415835514,28.171900063859436,30.892300795908426,27.6700855340266,24.844805595883926,20.545436553520286,23.113067420394326,19.169513893439913,17.101554369301788,13.861978014403162,15.090582143901166,12.458271516718604,12.07390242998552,15.574387992069042,18.323945409949534,20.800772512748217,21.824456926069487,21.45310940735994,25.592351422758757,24.230615230056383,20.74356538470555,25.242789270184403,25.076911901113395,26.80033780440008,22.882762695013184,19.890755411207937,22.201302991136956,22.6107824815215,17.011106812947162,17.28758194414205,19.54594226545891,20.516691445855873,20.983344672241834,21.991317099988404],[6.350491525348386,6.367206092736999,10.220898545251877,11.25524910075398,16.426761815614658,15.795028937875687,19.795219713251644,22.64588929353856,23.2387500705792,26.482248962144112,29.023803321248142,30.274362097351077,31.44078855523661,30.70494264842267,35.29501193636968,36.41948089804807,35.68003714375399,40.339371929280205,43.0120391519558,44.955159002328045,48.650538190691414,52.32616001458157,52.3819308582468,51.57291033298867,48.206373314397624,45.046953074128524,42.52406258631786,38.82400454292541,39.445448838206445,38.295417942629726,42.17358744810188,40.17711343814256,43.45296136406338,47.65579993459665,45.383287322567575,44.32319312394962,42.24036132256475,43.725219774751984,43.20527879154415,48.25624134066086,46.57400604298229,47.87136132489374,51.96886974538801,51.21630271649197,53.777145600978265,52.36223318478347,55.887900446733056,54.61636068657392,49.51970331994247,52.11098122309584,54.98221075623378,53.7198181835401,56.499268274233124,51.593991107109126,55.32724609127548,59.4222995368896,56.433580904061294,54.90395383915363,59.68908896235627,60.926876321089885,57.27589037242778,58.55695082971956,56.44059871759944,58.85419895647922,56.59675907229057,52.50333378101374,50.28163802564138,46.975830225239406,45.123620005152254,42.59798495869677,42.43868559332132,44.973217574131446,46.24995152472116,49.65639812211117,48.242288467834996,54.44387204636765,52.58276624553355,54.84218659013813,53.399890518072134,54.23979806652986,51.25115111325501,50.41058530833166,47.809595524792506,47.42859946482138,45.07846247336634,44.43131895469144,47.46107938676444,47.29286576888789,48.408940317951746,50.84680322645177,49.24996433755658,52.469252233460274,48.77251815030433,45.99730936249811,41.357639789737014,41.620956425803634,37.433873700862016,38.806687066873515,35.547752272118835,35.248637764780085,38.109632573101614,35.36426291900036,38.410312962824854,35.06445894198728,37.954107414640724,32.80531692459926,33.78713735905687,32.11275312302966,27.566117779031647,28.62733127128688,24.40887098431772,27.233192947918372,25.000847906762978,27.10993183589746,29.183748481892717,30.00644323233699,33.952052334843536,34.93353796421357,39.94159868290536,37.81516845480903,35.20956235743175,31.906445973594128,29.602815720110733,26.819283993316223,23.64333342957281,24.60411110023608,21.26821529875575,24.748908593488977,25.91720198733313,30.904220018989452,29.12644969948795,32.80970642311035,34.90946547595722,36.14425557066464,33.084652997784424,30.199715213766403,26.972942538760808,28.35187940350337,28.788160719180834,32.10410653935705,34.86575921364511,39.65882263184062,39.03874840791816,36.199150038209744,39.048512270356575,37.30858643077437,34.121499988275545,32.593684559026826,30.85813638330301,27.804170423381027,27.186053627135887,26.566534789564265,29.190844949943056,27.917693264851017,30.980214420760184,32.20251432779949,31.68637778505672,31.4444020597723,33.88014933682797,32.37590904348314,33.342280827958575,37.31953845963917,35.696322528635704,39.891926416613785,39.66702267005277,37.717960584559,37.95914513326369,39.2941054429517,35.501544524718604,33.326441492022894,33.27523108364383,33.0897488330429,36.48060507519463,37.65333811906033,38.95607988829258,39.33918122370756,38.85027456850903,43.48668130980897,43.211310269619425,43.1789898662634,42.243350170564256,36.954567736660806,40.547225097639256,42.75224614746954,40.98298769673463,45.5477575456838,46.10803387957384,49.84898683747776,48.0815101676331,47.96943729888281,46.83844017273232,43.74240385707741,41.602542495511024,38.54015192604762,37.79975186460305,36.51551925465525,31.672314851568853,31.426330775125777,27.437408071294158,26.722132174397736,26.68816920062221,25.421322762777645,22.798633508560716,21.541544236511516,22.51798980713081,19.10701900244938,15.975717737360364,17.85443546406823,18.975674880012562,13.274395746159138,12.572870031469943,14.39857851578558,12.35958603689631,8.315215858452472,10.785779091685365,11.775303231699633,15.827573935571696,17.766833120832086,18.654099875908674,20.742624980583347,25.95364272118879,28.237156998923588,30.88395736157193,31.903931083522693,32.09966491854377,35.194119866690016,34.04635716580267,38.086429558687605,36.159938331084845,30.994544488794986,34.67784378869996,37.5766290018578,33.384820824962205,32.513939172563994,36.67707599582334,35.90208571593646,31.753434615419405,33.273534196349004,28.68467784871706,31.887570285043395,33.57116955496647,31.219309914973554,33.70969305288537,34.96660229249731,33.83929003961539,30.128459420351763,29.753150772856188,30.799188961238347,27.267680232428603,24.494553836107425,25.411781305834257,23.655123198273994,20.130274850837196,23.189703592081223,23.107498764560024,18.596590643957406,18.914485719456085,22.505820217793893,21.979499724192383,25.774035588727212,26.414747510682336,29.69641447000135,26.7023089036525,22.347138232130256,27.041708340846114,27.31169355196309,23.836299892326082,24.55665542656311,29.76720424840835,27.427059910160395,23.455651121774245,27.452020426797322,30.752806269739512,28.017705956877805,24.99128116984268,20.533631085458854,23.920919007155863,20.101300374270124,18.226852043695658,14.255520268748892,14.385758802672619,10.665077309251657,11.369322756910792,14.681723403455335,18.01770369912989,19.823083723759183,20.45109655215784,19.1455127727921,23.09507306927083,21.22348330857657,17.563599575798904,21.879592789008758,21.8484392594055,23.148838236435168,19.187335636721876,16.469587659071703,18.58920292615087,18.611899280515257,13.075829847880746,13.759332762678929,15.927529971163745,17.074242779923473,17.796125381226013,19.08806937728756],[8.34152943130512,8.334783160154538,11.915375814519802,11.198565441325318,16.87709422614709,16.234161681683535,19.896005169465116,23.125929508786122,23.121051165592803,25.9673877610193,28.461888938742973,30.150180823703884,31.125643497028904,29.880698938578224,34.63351539608102,35.9923474388401,35.02264190331224,39.569255411389314,41.95090463603494,44.19631814376667,47.73911980155618,51.56798234999419,51.45312920402668,50.49011780422922,47.30533616701174,44.01025810109173,41.75177909395377,38.0839686564112,38.912890075775586,38.06669846956444,41.68759202279165,40.15346381251298,43.45252346303687,47.529589063615205,45.3066098974035,44.014106126061705,42.26974105971402,43.43709569369441,42.8876812109993,48.14806973382022,46.181603521988336,47.24924171550583,51.43627350073287,50.564103829571174,52.9154922237437,51.40390003607504,55.02445098529231,53.96769424807489,48.87057341570027,51.57271055193307,54.62095432358981,53.571781308884376,56.35563777064617,51.39052702771623,55.349230187054935,59.244772504160316,56.03582031746519,54.682579118055585,59.52273034848855,60.50142959905832,56.74473497438437,58.05247765569302,55.9866420033577,58.12279649584984,55.858112687288596,51.90796077997607,49.34413338630883,46.15702171611516,43.96676405513776,41.5096217405606,41.10654005458857,43.478213951351464,45.05955752522713,48.49536513157015,47.407348784818915,53.73041370716897,52.03656999764463,54.4881804335298,53.165222781519766,54.07214323993241,51.33963064457472,50.540374556656204,48.229891219790986,47.807821463481744,45.19659892569698,44.54042197129874,47.3178647656765,47.39464382662637,48.11181286086545,50.70272670115524,48.83364379298626,51.9276279920581,48.241008762439435,45.62677253571775,40.931341029331385,41.088261940408145,36.826061710118836,38.70198261124327,35.633164954542316,35.81279207836292,38.53951500655045,36.26976549488531,39.061521620955084,36.07459525673574,39.007129066638335,33.9090839327454,35.239512458535735,33.50055076237488,29.02440026663576,30.054506987288647,25.571507942869825,27.858619479099687,25.270759133771318,26.979540150910225,28.650257994287944,29.18787082928489,33.04831944534919,33.75701103381391,38.66669987188193,36.74942413752255,33.932401083829376,30.75559681110259,28.28529523294901,25.796156001105,22.958006252806044,24.26663781084777,21.700168228160624,25.211675045741796,26.775920615020777,31.839277855985184,30.074798812442296,34.026429813875346,35.74872206965936,37.102586825418804,33.62610157840536,30.48347531890875,27.20853157501353,28.07724734670142,28.059618305378,31.461251335321343,33.743083341248585,38.594587934372505,38.07212671676163,35.436695601774794,38.5083593164956,36.89844244708216,33.695572240078754,32.45642855348246,31.086318640649434,28.04783403132417,27.990417691631528,27.257911331153508,30.348035163534522,29.044064944934245,31.721354283891174,32.97747164202377,32.15004756344522,32.220242448169714,34.25275270225027,33.04841496563461,33.658745161966266,37.33364247155671,35.44158125709501,39.78686727438806,39.592727200220224,37.31636889124034,37.935768442223406,39.10747302650159,35.4545469688846,33.05003907548646,33.28840553382142,32.95517386085993,36.62880595591424,37.96553191814262,39.30988661756025,39.9481826016356,39.21166545581893,44.109680476841625,43.64573492629761,43.84972975099903,42.70856265426415,37.70986480123574,41.336493094056515,43.45714027414911,41.44096259321175,45.79156918122343,46.093010796353354,49.88406716465055,47.7829987409697,47.959352684762855,46.85387047647057,43.90222499037118,41.92799912880648,39.02454822257864,38.542128351775816,37.48551336249012,32.61660160011518,32.77332194790484,28.947912401621753,28.378565388843363,28.78722254448936,27.622341773885783,24.67725652343649,23.60239080162285,25.021843311748867,21.51762005832683,17.977078555772376,20.40287660146312,21.89194857229593,15.960363186080267,15.355651191481519,17.52193685998643,15.458740333117808,11.292369656529678,13.825300513536662,14.432542770078529,18.88208088872506,20.052928789826296,21.264624550633812,23.64520057772763,28.752271169731625,31.163113893056806,33.74269244889079,34.8735820082528,34.922070669849916,37.991826648169436,36.7086405599669,40.66790685556467,38.759732484230845,33.42296584512838,37.01000178079511,39.83487308730752,35.535724679463875,34.52199273317906,38.571874562237454,37.704163727392825,33.47019287950157,34.7383281095255,30.44234994282134,33.71908600099657,35.66555195701454,33.62483724208109,36.13463172828966,37.65955995145298,36.29903176704913,32.50543661022422,32.51712775902268,33.50691966204514,29.73697888312713,27.197706478666923,28.314036899719493,26.469855638642397,22.99238565025631,26.29800906566611,26.23446790652758,21.64738884852763,22.14372308839986,25.786567624842167,25.176743736129776,28.907630464208722,29.35615237489672,32.636244575480184,29.75306699264139,25.204757813608484,29.747343741868693,30.047917930613558,26.52374686098582,26.91154623210356,32.200106358184385,29.77602188596032,25.546559905497425,29.402681832220598,32.80759345395491,29.910977306238745,26.677255007320635,22.053148066628065,25.198316738291428,21.038300598889872,19.826075536725615,15.572949147136718,16.30689740433489,12.556592758872327,12.224992585056013,15.604613854805626,18.83096604801329,20.72986500052968,21.998126992675633,20.38533735930831,24.459087432372307,22.160598499433956,19.120411121267797,23.69436450428755,24.088329644320755,25.082726212553343,20.800524514933887,18.710527237988,20.82593398697829,20.04063377583953,14.733100299384178,16.162433408264704,18.058589987093914,19.162261436422764,19.853182432427637,21.320007598007127],[6.940046630742047,7.677644443179194,11.644543468816202,10.307869744669102,16.062040863463057,13.905128958197889,17.39871790133389,20.342999222303053,19.788055749937154,22.788310251373797,24.984123458341465,26.617730434186072,28.0152555183771,26.642774932775975,31.237008101164264,32.764483999830134,32.12584236474411,36.65609533764093,39.28153931309151,41.627317203339324,45.26135945867574,49.18373102662339,49.23084666544794,48.475692890379484,45.29780762679466,41.81086951608368,39.59120372947399,35.72573152462671,36.2339831072908,35.215554607087185,38.4199473208362,36.99410061116723,40.08519619862254,44.232690918467995,42.25215904937202,41.120751109535725,39.53076431179421,41.00192060980498,40.745403462840216,46.2403011030876,44.36040978295128,45.04512645520091,49.33684139323483,48.712879117188365,51.148615603197435,49.895547406608095,53.6029053640218,52.35122141475941,47.433748249565994,50.4314009058676,53.2467836491392,52.25633389232243,54.808717481903024,49.71526933066567,53.50266699457947,57.382071658482374,54.0687751881007,52.471955997794545,57.30458400548495,58.38712351066793,54.40425551013072,55.41863193109056,53.16084891124832,55.33203225461291,53.27841528904017,49.2736444178492,46.56815874104952,43.212960678526485,41.02528105386977,38.31321815560895,37.991229480853264,40.26183287335587,41.75393021996313,45.38386762756296,44.19964748712844,50.49388285590774,49.04294824505849,51.36062434576952,50.2599183883736,51.42728984566501,48.77591132952373,48.32366080741482,46.07098137946341,45.99814659805921,43.35111269006864,42.32930545398451,44.90416171920201,44.741519703649644,45.31565240930618,47.602933400397035,45.62473923559732,48.53913624235877,44.763386173501985,42.08745817700621,37.42294757776721,37.37609691347771,33.15553214425012,35.16357914539409,32.160725063027186,32.38316028644575,35.39106931448853,33.481609420906096,36.42649025831271,33.85934744694094,37.2935258304493,32.33467852074382,34.07829802405443,32.75736035723376,28.31580365396691,28.78673390774852,24.16234495688649,26.153364307125393,23.063573222772884,25.009594348547658,26.159401035255186,27.036355409023873,30.708533972749773,31.774690616116455,36.3240405054244,34.06089135776198,31.27635881081311,28.012965620452945,26.027279266762342,23.5325021959504,20.61719145688915,22.67386104748581,20.099962029090133,24.009908141889085,25.942577751919988,30.900047472209042,29.867560049434868,33.86162454872874,35.52482523365781,36.3748242803705,33.05975510495838,29.57746700791816,26.979078650638257,27.305382094399928,27.05158522316222,30.148122093902554,32.54778275030441,37.273665140482166,36.316461416107025,33.69473109248519,36.68531988394478,34.71110449337513,31.59329637252181,30.08222954815597,28.827305723267965,25.44360488978633,25.54623402834289,24.25319819623185,27.490361951696283,25.812107257791602,28.29367283197587,29.829221636373433,29.074311172100597,29.565388517574984,31.53355448800916,30.931649285277768,31.894200922331766,35.24678953933851,33.823632704410336,38.12115056555627,38.4552704103974,36.548424372260435,37.477919364360915,39.03111899905804,35.599624705573255,32.8570337934361,32.92405000452549,32.09981953670396,35.50987283240624,36.54021947838299,37.53065996825708,37.984225054354,36.84159671149451,41.856281816780665,41.6817430774795,42.08020859555272,41.300076001222116,36.314688527126556,40.39297746262074,42.74476348311664,40.626532381729625,44.70373220370189,44.68918632798006,48.67684197175813,46.810044420438224,47.26452253714809,46.488977862770305,43.351439129754766,41.77144522366108,38.980939603464805,38.66523706204355,37.94416958558446,33.01858527156189,33.27502537342712,29.673708192091723,28.510742596754135,29.3662502706678,27.625612948607177,24.57249723469512,24.373025968524615,25.685972058079322,21.646759894956176,18.9036777214613,21.647302213917737,22.424767618373448,16.43587106169428,16.73362037216721,18.810140135068767,15.831210972294205,12.456782571950777,15.941343299381002,16.834436114946183,21.044753921874282,22.935389522324584,23.503754493986417,25.77432337135586,30.961031359633335,33.47791090296905,35.9209912216727,36.49724264489774,36.35958962485221,39.168006498102045,37.46346321787474,41.67430079697211,40.18690098662238,34.636381888303006,37.94617829971246,41.23121660647711,37.13301285229737,35.74720321615639,39.68878625178843,39.41782403739971,35.22219437655011,35.83807950784227,31.56035462342959,34.09698775980794,36.158858825572395,34.068698954954655,36.14050325541889,37.627361104827095,35.79785465769858,32.314267798980325,32.52406750166884,32.95919197252751,29.02158106129428,27.061655184782303,27.92957294025733,25.718872319552293,22.69714804754045,26.4511582592791,26.012414441348437,21.229742786671252,22.633865375275654,26.457438634280205,26.17239675029441,29.752917687875815,29.946072262209256,33.596511827785875,31.11999847252251,26.43312662751225,30.924609064894764,31.776308890805467,28.397235920330942,28.505386371949943,34.07443885637569,32.164993384450554,27.79849527376945,31.347220944271747,35.1531278383672,32.64373055359035,29.33031290752121,24.67714729785527,28.306393124536076,24.268990466614387,23.14111182053858,18.605336346704174,18.573676368640655,14.181143322117773,14.701670482628742,17.755796245934167,21.29990797370905,22.611748998728725,23.542481116045728,20.98853221634228,24.71101780550943,21.716695236518376,18.65218111287937,22.745328848421114,23.265067021470877,23.472052376407966,19.327592965705698,17.756617009516567,19.207290431770783,17.74727116568579,12.951652293786914,14.794683614033715,15.97155686504741,17.01959645606086,17.78532199830699,19.62633031367086],[11.38452012680013,12.733632132732122,16.686127453587538,14.568991494344004,20.364801479968797,17.82819478680621,20.780661614929432,23.686861827602748,22.182184850065894,24.784804678140112,26.519388145049916,28.51269465343505,30.140707151350604,28.044375066015135,32.56883222406405,34.53976402596786,33.93074591443928,38.214791100284216,40.57789345250153,43.38904391416752,46.83195038028115,50.985728761259814,50.89335938465145,50.040090416579076,47.155844993135,43.41469960813259,41.61199267878764,37.734106842071576,38.28655193207297,37.505946685434346,39.984632537750855,39.19359812651236,42.036598562372035,46.09094017909336,44.42768671696564,43.20157329298172,42.10971472622015,43.436759501516825,43.32020754704854,49.10608444475142,46.96687064961066,47.171143724358096,51.59028390345591,50.944839140170515,53.12342008444236,51.85384429450882,55.694248116861274,54.65953038628554,49.84839626967323,53.057769424700965,55.990399336914024,55.267944993206946,57.72305263143308,52.549792935051556,56.471611520552344,60.10566434239958,56.513375734981636,55.003130192785626,59.856817139329976,60.69328985405222,56.480225407956894,57.32739099719077,55.003945664154635,56.8355100964143,54.942377142390676,51.11981373041048,47.873695557183076,44.58612878225183,41.929769941689614,39.117722330356756,38.48343489694984,40.31540173602037,42.227289331640385,46.06965568595702,45.29220117476303,51.65818063453704,50.669805558059835,53.07478740084772,52.31734468518221,53.74991515699372,51.44079136973594,51.25129567431248,49.3161626601773,49.387491030473356,46.50571069339188,45.298104702827644,47.46819493501985,47.39298455340099,47.43900023910797,49.60929530194624,47.24155909442724,49.77919027135353,45.94858357659712,43.41774584840921,38.79568638541793,38.3319385671665,34.15608890109184,36.87543459309204,34.1851823738792,34.766913352802625,38.00229586590153,36.75438541582755,39.64040844318344,37.621449198464795,41.31568320259887,36.50434414365321,38.570511950070255,37.35154655286555,32.993046290594144,33.28307816343921,28.546679689357035,30.051234273617702,26.52784178738304,28.163303626965217,28.55494464745615,29.2422391012638,32.60246092528893,33.45198612193471,37.558118396593784,35.41943077575982,32.386020646455954,29.334906757510566,27.476252820758827,25.505793906033542,23.114112640000386,25.834646472181866,24.050595116571664,28.00014134012827,30.276396546463165,35.19132481021281,34.31326403438979,38.45312487424277,39.83761847716231,40.677597125415595,37.109672456187326,33.38462040149632,30.90032033200527,30.638705661013155,29.81429799268055,32.85710494787455,34.61083174077024,39.29472271137847,38.32061751266423,36.02439197161413,39.20822095957384,37.24237238461619,34.20719957329683,32.8951615638639,32.08326565484803,28.579192327288684,29.183486839228582,27.39331590461727,30.87062634221387,28.673793876261296,30.803659266546607,32.723875025090045,31.898073228076072,32.949596211167275,34.55419367401293,34.57955674079327,35.414127554897284,38.2800803882828,36.80762471124242,41.185967772456294,41.73260769988003,39.582862096829906,40.97232743967563,42.386193393542115,39.15772291034636,36.17958780440986,36.5261600597131,35.4733639517014,39.05080602914574,40.123700118075234,40.998538375724856,41.57086093541979,40.01232477670026,45.251097382961504,45.086661332189486,45.768264217735435,44.975439760373,40.2774007360237,44.48603015852625,46.810827783525895,44.47743090002438,48.25113159689905,47.875809626799565,51.948473017893164,49.8011040096077,50.63653803170084,49.95404482148666,46.956648480725505,45.60840076893053,42.996905787127304,42.911807878538696,42.38164930477249,37.469983358919364,37.986043529965485,34.48738827578869,33.39459646818993,34.41532408905221,32.670734426673306,29.544060900177875,29.416353400237195,30.792504012743976,26.73930852271779,23.928885231785166,26.688047753688743,27.429026313424647,21.50419412799186,21.673339702360625,23.567336204927873,20.585517108343602,17.248277488503284,20.291408180820234,21.355532040369713,25.376302799293608,27.24596752938747,28.200204353716753,30.390719390679735,35.613618555248756,37.88282586887767,40.55220754910341,41.33956285067383,41.3370266624711,44.205492764761686,42.55839169384636,46.76137070416135,45.2130621599609,39.69463710081434,43.020687168698295,46.23356329414074,42.07125194541232,40.711667555007004,44.615872207021084,44.205952441790444,39.97110670883763,40.57200658992321,36.451685416166704,39.04112078540179,41.1911243727707,39.1620051661836,41.185769339999496,42.636694821853645,40.720418454414705,37.32900471595662,37.524822190422555,37.80204900787881,33.887056724785765,32.05769151768167,32.71624575202027,30.37758938398326,27.556861913780267,31.216337363914757,30.50640092706138,25.678270247715723,27.24511667355588,30.974944665398162,30.910349149992115,34.59755482900154,34.94876575385481,38.59768982682815,35.97478430590418,31.428194849763695,35.97628069791806,36.69046576506295,33.26433781570797,33.478208109763564,38.975256803269865,36.836474526956124,32.50635368641091,36.133431714506195,39.812935752593255,37.05833507750479,33.72996455648618,29.03691479310768,32.249296864671656,27.97012457208816,27.045139075170233,22.67463282238024,23.227376571598878,19.038772762884854,18.90582315017326,22.076226538241635,25.393021505746923,26.94543727911986,28.29317148235076,25.735428473604237,29.48892085225032,26.240493553997563,23.534068438822178,27.547835649716404,28.151221972078655,27.99891601227713,23.949088858688878,22.636344383329,23.692419403143848,21.90546297180415,17.578737787925842,19.333411399787057,19.850955423222416,20.560793720331194,20.993138496548752,22.886044026452947],[14.722301321955555,16.007450875800547,19.638323981625906,16.705556370044825,22.301463873570015,19.44532135008321,21.798820395480867,24.685529182563712,22.451468631683873,24.566742096928273,25.956007317717344,28.286125660914205,29.915117370696862,27.271533900855005,31.702895643455964,33.97585739492334,33.34054474085437,37.37642977232683,39.510374152324445,42.64827052489518,45.920671132836794,50.22421931263873,50.04087947080403,49.14699890799186,46.498999175603956,42.58004030111438,41.10981720405796,37.25030207932515,37.829171539289405,37.27742313283652,39.19433987495739,38.951653535709575,41.63194381250405,45.53160961989497,44.085511332633786,42.74445598212176,42.08283605411005,43.238059860437986,43.24169913825433,49.238170427574495,46.90852040724512,46.69691852127458,51.192201126944745,50.55992593880143,52.54375785103614,51.31824770192098,55.248455272133235,54.34366525632858,49.6775732630119,53.085191810380486,56.04393647098563,55.55195104457147,57.87964374009696,52.65394232700931,56.65460568130602,60.06024350193452,56.24885513324183,54.80580880011341,59.65396657173067,60.287034129480816,55.90123361779293,56.61239286978191,54.26189405591194,55.810759839217695,54.046191519731636,50.38879615252897,46.751022903665806,43.54675242329481,40.562517025503574,37.721941656977236,36.86156664129226,38.38148920472902,40.57716817172663,44.5210886244738,44.062990117667134,50.451433403858154,49.79567865616998,52.28765631065705,51.783081200666764,53.40138811462484,51.40362335671329,51.42412575941844,49.80041973490308,49.992075281967075,46.910595039381185,45.54592702335853,47.34869338160353,47.38180705872085,46.97292883193966,49.09234824541315,46.42502772063735,48.68508352078123,44.86453470993707,42.50607059634738,37.94077326291859,37.22967907161629,33.10807556051257,36.37862810767228,33.993728839092526,35.01972126871248,38.2137604479895,37.58532715502734,40.26837296430591,38.7770693871978,42.6394091412567,38.01815042918186,40.449321811942944,39.353100330630916,35.13755684568146,35.21326479521936,30.37814349684226,31.331583955828084,27.46103378451366,28.78259559707585,28.519641698550977,29.06325595740098,32.10528233097891,32.82540076340854,36.50401212551134,34.457564586465516,31.288199203524705,28.444047118393687,26.76274308570898,25.228560261208894,23.303797949368246,26.549728556569736,25.48561987793034,29.42440679657515,32.04090094099627,36.845289666952134,36.24997966584243,40.514575833000755,41.58706461706513,42.31967360029493,38.564771770772886,34.60415528039671,32.40508007886121,31.543348497621732,30.24868984135128,33.1248038073988,34.40584937369208,38.96322074573528,37.89903786436486,35.87762167940062,39.15775840552584,37.18928176161689,34.26644337297891,33.13601997941946,32.733243439308175,29.214095505030432,30.328725397033196,28.25989493440275,32.035337085331555,29.69648538019854,31.33452528378174,33.37931148555988,32.35779962777646,33.846840540218864,35.03198333437327,35.58554655917569,36.25714220797164,38.64431926374788,37.18040101995524,41.57129015774315,42.365266488971976,40.12649330881677,41.93951744360307,43.339311931699946,40.371888266871494,37.143815866203795,37.6548610736212,36.31324652845442,39.935384460949656,40.99594311651076,41.73736887052033,42.43137404876368,40.510980193665084,45.92953696650559,45.73751888686454,46.691153974882106,45.89447463275481,41.51746587255043,45.85900887535581,48.17406721599611,45.63818327573015,49.06769314081443,48.338657541147896,52.485504581581225,50.16964946124779,51.366772644634665,50.847765501545574,47.93930351356335,46.898471076366775,44.49363490691593,44.6640582872712,44.42193365487529,39.54481474169728,40.355594389253575,37.07721519346456,35.916810235402615,37.31616701028639,35.49210161606159,32.1996053839487,32.40640179733143,33.97694141387056,29.795930463409704,27.01397049687466,30.066090919349655,30.82347194729515,24.853020505774758,25.2223081006275,27.236963365634857,24.113437716189328,20.887627601485477,24.085854017018264,25.04126192944131,29.185529892650557,30.856708986988764,31.817298705847442,34.12085050080904,39.30931174250194,41.665744263399255,44.27163230661926,44.97750349070219,44.844414099765835,47.62098095943149,45.781900510038966,49.99417726697336,48.58184921229378,42.92264667143387,46.09764601227737,49.385884675761226,45.231657635774354,43.688433615523635,47.46565800633477,47.17470043466265,42.925246604498554,43.17212389284208,39.281284051164945,41.67283638698904,44.00320290956921,42.164773949204374,44.05455568615564,45.64505968555717,43.45496320139173,40.14371360364177,40.62164273864806,40.69837826092405,36.63943066165184,35.131401850436475,35.82196693426908,33.36474955242206,30.732099080224724,34.58603726468027,33.79505144577717,28.946638059280858,30.78518979677126,34.55810306364031,34.52886320584276,38.135532144749924,38.31895935272091,42.04971839395503,39.59598119251541,34.928096778720885,39.365996605364934,40.23453216794431,36.82455555901652,36.79549370072116,42.385322077699726,40.33723147692287,35.85080354788086,39.30216993602215,43.1289885546621,40.39612382173272,36.951090230113635,32.202592187655625,35.373429165990494,30.99493927363629,30.43316854143557,25.927236661377894,26.56991821706088,22.314368273137298,21.940996142280667,24.968993746078567,28.218438420352523,29.636293085442222,31.21721666977151,28.30608081859171,31.942394637416996,28.3160184975514,26.070983014897855,29.973289051398723,30.844611710106182,30.27669065426462,26.219550797310077,25.44927489232188,26.286484700690902,23.893885880060814,20.131911144549132,22.25789883731323,22.39878775270126,22.994489523597267,23.363814466649384,25.33118921924558],[17.639310552954367,19.009546867219534,22.433687955334104,19.11689490144002,24.35820900044936,20.961550911529848,22.739179665026406,25.356627582657808,22.440910208189788,24.176429846260653,25.078520614740174,27.57025567181031,29.38815487520328,26.31905877532755,30.481934689489904,33.03992477108902,32.5679707928091,36.335248756000084,38.38328473471074,41.778441505889845,44.93079443488029,49.348863212176454,49.174949688105286,48.35415304492064,45.90724132681566,41.81401276949437,40.62495777845285,36.74534003427495,37.18352119391243,36.724702085318,37.97901743860503,38.20548588922411,40.61669846916834,44.39601965468326,43.25168513769531,41.92508033636469,41.655560370458645,42.817759358223526,43.03951752683165,49.21758109986436,46.818881748803015,46.1464175541847,50.70036745952966,50.19333634999284,52.05912913195259,50.98670646793165,54.98653750844412,54.09589055557981,49.64637538006216,53.283540473232996,56.139930677166284,55.830236404675354,57.958473773200076,52.68329778923475,56.63044470655902,59.85049505041457,55.869224336781784,54.37443027065362,59.180128693715,59.714798307328074,55.13292594192151,55.60386617629241,53.15732709826571,54.50497113091968,52.94951529677607,49.41607897494018,45.44949191187302,42.256717444955775,39.0499474662178,36.08588867767497,35.09377627078481,36.277814061052894,38.64121600094286,42.73577455411046,42.48377606671927,48.819891682530795,48.54571390495279,51.013151489796236,50.80917340021088,52.6731613398082,50.94843332996092,51.27272034592097,49.89880388540945,50.32138312584024,47.125024833266295,45.50929645737974,46.94696643443867,46.942270582877526,46.146903866792826,48.056288546796274,45.13747381608719,47.071101404578236,43.2422228651503,41.005012216817704,36.558728378842254,35.540335033387606,31.550478503632263,35.275611948525906,33.19932317227742,34.5384360943993,37.80433808702059,37.78172469346905,40.36262581516164,39.42585046600613,43.54898001791966,39.16838168391739,41.93874537130533,41.08482061223614,37.022993582647125,36.773211586720656,31.931298308062956,32.42199134972122,28.237821051536592,29.408915648970975,28.47102931073685,29.046050596258493,31.694834445008,32.46481655569434,35.586689576742636,33.4794351404314,30.278144056606887,27.622223300885306,26.3594373147478,25.206066455095133,23.665849521994115,27.455866804296228,26.87934551694611,30.838422394010813,33.72637982579995,38.34257210761883,38.17771339818417,42.472713770954414,43.335353979475414,43.812971334028354,40.05528392966342,35.891762486450055,34.14125767863206,32.74603330704256,31.091761350743344,33.67434209035979,34.65288585256135,38.993591276851674,37.697202778121145,35.911823430102544,39.171288749552176,37.07345461507794,34.321166341274804,33.22166750252314,33.157628708354096,29.566370097633488,31.053563290465217,28.602175213655002,32.52522198969606,29.95020815998425,31.123478919361883,33.36311310711467,32.27706814235284,34.228402495315294,35.08080122943403,36.242466592830304,36.94451841725376,38.83730087961205,37.60155646245977,41.914016518485184,43.075586877569314,40.952990657152085,43.129175509703764,44.6452974030288,41.95026071851784,38.492516296107496,39.03511981680093,37.35417222696186,40.84756250444748,41.763865892210326,42.26330200387871,42.94770835349513,40.639253512072486,46.15541733594275,46.07580703651865,47.27730281327614,46.6374963833678,42.52100304365857,47.06906755679095,49.44451410727109,46.770769927477,49.84193119180041,48.76204750021018,52.99984409399865,50.68890874111034,52.22093566480567,51.93792108015601,49.03952565023668,48.34584512730358,46.12873098362277,46.50610293011723,46.54681170914309,41.71471538862832,42.7100583467067,39.649681321678536,38.277279674397725,39.994870229673325,37.96498774754056,34.60204444865121,35.23522551429873,36.845972140864326,32.4980115435794,29.99461602387136,33.22245242039987,33.774386968200936,27.85835182791244,28.524487001758942,30.539069084273635,27.16481930592142,24.225177672164754,27.649032038632576,28.62963906999698,32.746203916068424,34.5262767743489,35.325061000738884,37.6363351771186,42.82532756061928,45.23851877973292,47.78120139660054,48.27880637346614,48.03184852832422,50.67181732076908,48.61111242438581,52.894233788441454,51.69190495097178,45.92123499487927,48.91744872322035,52.38042336208477,48.31013136482457,46.56620787289824,50.22637614286593,50.18849410556253,45.95987222363783,45.82179944037491,42.07841024703797,44.11175190849733,46.5552448631323,44.807944610537,46.46385900750718,48.09313382567137,45.61545078070503,42.492578923274614,43.167134574875654,42.94433102553016,38.80931400815933,37.67727149282919,38.27846649010112,35.670480293253924,33.329041836853975,37.35328512237971,36.39818443958416,31.554343274494293,33.76721199183518,37.57023145724411,37.66704738487517,41.17149044622672,41.20459667333805,45.06875879459021,42.82651765612705,38.094099026537044,42.443996526132786,43.54454753457734,40.195146557971924,39.98099333675915,45.674873168780984,43.823089065505584,39.23866299703807,42.512143601084055,46.51501869069749,43.9074268004885,40.392910606138905,35.62310739894043,38.89903999989285,34.516850140123715,34.12306089493463,29.496714071599328,29.993066503521877,25.599807797355787,25.319925535860047,28.194637753604056,31.470795007838934,32.66535534374727,34.24634267007185,30.942368738857926,34.3592535278393,30.384826865509698,28.424638775983144,32.02087466189222,33.04924009609278,31.996294665496816,28.10435038466963,27.797059673818076,28.26555175008307,25.402118068656787,22.29996483366534,24.614158923110313,24.28610795722196,24.73521088780222,25.035675847539416,27.071489408652397],[21.289384438734597,22.302826884803135,25.275246007433466,21.238751136369856,26.142828521855225,23.02483904941719,24.182069546365494,26.934586480630433,23.57445018803871,24.53438143009882,25.235755091775626,28.177234419704305,29.576180330452736,25.96872774105852,30.06327237468181,32.82854665008194,32.0759856687809,35.48459445354648,37.05984950259718,40.77274152634458,43.629465167844316,48.14896684711843,47.776696675625914,46.8078446280343,44.66858289849448,40.48574677014722,39.706101779560306,35.999474939789295,36.65668350874509,36.61926360900295,37.447031316920814,38.313075984284076,40.67807209493194,44.149856557084185,43.09618762597804,41.50011712304856,41.695442731409784,42.419574132136205,42.627585567986934,48.90736275178274,46.235065269443766,45.23422064242835,49.7974021880278,49.18614849237347,50.75703278032718,49.63618337115714,53.68454620578781,53.042417528826434,48.72803616967749,52.466873938400425,55.4336621651331,55.39525006000125,57.4535869608334,52.20071652976467,56.31729966520832,59.23039717830634,55.03956825737392,53.771479756572944,58.55284439319349,58.762951883951594,54.10736346266962,54.580649530182974,52.23936100880373,53.193538663047796,51.67453739849988,48.40501117067108,44.0601762988508,41.110918337542905,37.52109272840366,34.73950109975446,33.41765701107822,34.28602744449062,37.03979904653804,41.07107843352076,41.29341600264299,47.63841237590003,47.60222732265243,50.274252063835036,50.233063591430216,52.14882834712355,50.7955512766361,51.179538844046,50.201060923138286,50.582857997476424,47.15473631374816,45.54618739464304,46.60909909295703,46.90878447753263,45.60919420635659,47.67172489281845,44.462013128449,46.17714909057904,42.47277512010129,40.54493827685986,36.182123991869986,35.07244621346847,31.156816368076303,35.43239618562486,33.729146413149465,35.67083376250238,38.54368192378851,39.097216619148824,41.24200132887115,40.75576880742758,44.781486669938516,40.60535824889353,43.659486159923055,42.77582680171341,38.916866298259755,38.63793077396794,33.75050331220835,33.65654380639398,29.336418231911438,29.971294330295564,28.504396857951214,28.707933142487047,30.999655643541438,31.418793129085174,34.132358282783386,32.364990647824314,29.02880561165497,26.74449852576931,25.4758495751325,24.901626128159343,24.016657378740188,28.00667977522684,28.320387712051378,32.045386131650815,35.18734387371419,39.663600976670665,39.58767744983658,43.99805786398576,44.45981079796742,44.98787868837931,40.95018563641272,36.65868921525457,35.05882619533278,33.12145224426773,31.005204282412436,33.43951154562544,33.777067373211516,37.938891336917,36.72239254299688,35.29927063947419,38.67443015222934,36.779855595316484,34.16337440659768,33.46177502597601,33.86272490233742,30.50767892214568,32.55803342627725,30.181326835104105,34.42126076636629,32.088147303296594,32.702763035869054,34.778784746699856,33.330784801375984,35.53284448492925,35.84468401846013,37.31260747607186,37.593356717273345,39.01067660961413,37.56590891199771,41.868768035875426,43.10289128807163,40.75562984135714,43.33133648282508,44.69539854312185,42.29278661827547,38.66854428946267,39.45809654617704,37.60422984082189,41.21404213417135,42.240529692007385,42.73558034130756,43.6834430445148,41.14744628446766,46.803052332833346,46.50607835894485,47.961728180311766,47.129833310107514,43.46726234482376,47.95214465538698,50.20003144166295,47.31927373003321,50.031698090432755,48.63979970169228,52.8535624945438,50.25069370316577,52.12447657902485,51.93704414133494,49.238830393133505,48.809130115122244,46.838729152129055,47.49008824525652,47.80436965854654,43.075145899455634,44.42219058673336,41.614582482533315,40.35292710540174,42.442015168983346,40.524600087259934,36.970340224451704,37.76962788530368,39.70371843805455,35.366530224244514,32.648465749622794,36.19862622608964,37.04507874334041,31.039295601385785,31.74888610780392,34.02638021492575,30.725456473008546,27.66225565960399,31.169037884784316,31.868079873980268,36.292637869313104,37.54328362145693,38.43583915776001,40.982815134323474,46.069575815676345,48.67876960945884,51.07987545873917,51.58282850505996,51.141594487181955,53.71189076338432,51.48720146507509,55.67400421801401,54.54750629510795,48.63033897229272,51.47514213817281,54.889028011944305,50.7878531837501,48.88391636710545,52.375501369378625,52.3472213370666,48.1132406038961,47.64958360071555,44.24202454802019,46.221375071221125,48.878252808305554,47.452605802903854,49.09385822826061,50.991847168905714,48.30408309591596,45.13456788264478,46.19786101836105,45.959010422823305,41.64203953510524,40.72381372870147,41.57065105398445,38.97120972735793,36.63552120318417,40.84062798873541,40.01749162879074,35.19237787834308,37.417182267861925,41.278257145790896,41.21817783902614,44.625512360449136,44.4309506230071,48.27837559914726,46.20193728432325,41.27566714175276,45.44407162163627,46.628591039266524,43.274167822464364,42.73734924281377,48.48203535294122,46.67468966266155,41.89512693379768,44.95106499358429,49.070952676203106,46.45724657232848,42.808515836972646,38.01164328593944,41.172055057381456,36.71231416925817,36.793002538555385,32.04009246659092,32.72261282125467,28.39507925882207,27.715022782537332,30.4002623495238,33.50353878061787,34.588557659088366,36.50225149390605,32.99960373439321,36.33050095690204,32.13511665703722,30.78906853191431,34.43623358240103,35.80798859847619,34.5805302616066,30.55986892907281,30.76592879474273,31.336594105726604,27.956536924890653,25.236837068646906,27.986976538137043,27.678234349873,28.155050437413347,28.496686798802475,30.498817281034217],[21.752050991604573,22.85409041564234,25.570960295919832,21.6107123327441,25.923907872292947,21.92784774613915,22.548713206271614,24.700877153757524,20.816205578776213,21.658330594885438,21.788462097920515,24.594148618475938,26.431258299022957,22.745807563557246,26.408997889298735,29.334400566658523,29.04997144434807,32.3211850237117,34.22327045170208,37.929050242023834,40.882802119369906,45.4109351264636,45.28776686590998,44.63556517939125,42.476798711921056,38.1765787077806,37.39701771655774,33.54221435400487,33.74932062630509,33.486709783703574,33.752342323555325,34.74716793710459,36.794462595779116,40.27735067536812,39.53237009250172,38.17930102645167,38.53906280171057,39.630303530275235,40.18400854847422,46.559665401173355,44.09877717929767,42.722454190276295,47.312706199896766,47.03253169620635,48.74783836300279,47.978684748512954,52.03910871845654,51.10404083821874,47.057145448661586,51.035692527158155,53.64403815226071,53.60707371333942,55.38312147417281,50.077709895946775,53.891058075972204,56.79949645943505,52.60033331344507,51.027822618561906,55.73052170121292,56.12474466088345,51.28749411601625,51.40885702798244,48.855565466923366,49.910802466370804,48.65673096214083,45.32288046166095,40.94178509393806,37.79481873936098,34.328825461898454,31.230138172545775,30.080889035526933,30.828524675136865,33.36377752416089,37.60964972773948,37.637651174087104,43.86172002539673,44.08822326327377,46.539697856119034,46.74056192434247,48.92149015829963,47.64265623801544,48.40321809572957,47.47012674794225,48.22676302244897,44.87221792369455,42.89378919808089,43.734404268580036,43.72357483687649,42.32332702913069,43.97726104183743,40.70897517273513,42.20106079825528,38.4262765719295,36.442896675480014,32.202862089681986,30.838917526979603,27.067698783090023,31.473048240578045,29.96025024802243,31.98450702295655,35.02814887420352,36.031017537261185,38.2280478251274,38.23308897684234,42.6220143583239,38.73857700584048,42.06848149756235,41.60524567817905,37.924921726232206,37.15684826854479,32.40622724460811,32.00703484529433,27.449709127881537,28.260523553881903,26.235383222848068,26.853484600615513,28.777171585747798,29.683667105192644,31.849799556827985,29.628489794377565,26.48228310260298,24.181250902152748,23.70455560580118,23.183097318667816,22.350155925502463,26.86420299713147,27.182827069673653,30.99591393838733,34.28462537696629,38.45512842749658,39.05396400309775,43.33036009206846,43.78097542598669,43.79934139118992,40.09764778612097,35.671013875308255,34.78659773046982,32.51312519032559,30.347542880943717,32.31505733184802,32.89733449935179,36.764123602501456,35.03472551889842,33.62853673630138,36.75198204158162,34.46800807563814,32.06001818859247,31.05767666556486,31.586850709117442,28.05952959954522,30.232346348710777,27.402271210108193,31.602865089980106,29.05800153848705,29.252951406009423,31.516927631936543,30.163664077943963,32.77503744893835,32.94175727281557,35.03163750417487,35.67722040216718,36.6992413501625,35.86696896360277,39.95428534876734,41.723856713683055,39.9122394435641,42.6397066029266,44.40623091066407,42.22791818162748,38.43391018712333,38.954331292750446,36.70183245433723,39.865755369277906,40.51457508311172,40.61210962838646,41.314316712709825,38.42571326784453,44.03358283121348,44.0693106886135,45.673839319449826,45.26553049756388,41.687366733463186,46.49615016801497,48.93705437881786,46.063087645188716,48.47926770558861,46.83377250590303,51.17339456049084,48.95830970768884,51.011916269423985,51.16249986215127,48.27762213541802,48.21020014873729,46.34895704564015,47.08668046976423,47.657823754062186,42.98330434197214,44.315031157360245,41.74096013778797,40.01150498136264,42.36990840315798,40.05222491236885,36.55901207433251,37.988885008703,39.77034249800534,35.213663834209015,33.1705338818911,36.792452279448504,37.14410188444348,31.36531947109679,32.58945634252078,34.77518085197252,31.085306114285054,28.60090773447561,32.5298268553325,33.33531056127441,37.59684942721869,39.3015277972527,39.68814657462684,42.140810504394665,47.22348781245956,49.94163753420487,52.17259867983973,52.1937705036699,51.58126903037888,53.89157538884632,51.34221201158229,55.67605780417764,54.929132955996174,48.92138275844114,51.49051357301597,55.25979525546291,51.39275037199391,49.2162023364292,52.57910309534136,53.08638553254921,48.94531843883413,47.978078088900745,44.59771468237186,45.90591921453104,48.580142925471115,47.13284688140298,48.368010833412356,50.20288411365722,47.17422657872907,44.35353031643567,45.57492065842076,44.89561368954642,40.56853899628937,40.1672715867219,40.836729138114706,38.070036454136336,36.17935941154294,40.57944140102039,39.55985878404486,34.822458170497555,37.56824985036805,41.451509306992556,41.57271309967029,44.75957723451571,44.334099444058154,48.38398568165904,46.69079320149869,41.73269175407687,45.7614952506637,47.36906092892177,44.178010444411264,43.43965062803929,49.32360975950129,47.97154589781563,43.14543271004988,45.94167538357151,50.34625396302383,48.10307510607763,44.43596007598366,39.66826882885597,43.2681038460142,38.97826924901037,38.968597769448216,34.03035005124004,34.11597815914031,29.51716798558637,29.45555815373707,31.913728763091058,35.23284556599123,35.872048783072785,37.38114263224297,33.34361068669894,36.25785967779217,31.736981667713227,30.4524424361617,33.48565616642484,34.912379796106414,33.09223389555739,29.458745962988324,30.137283417020367,30.177846770385816,26.402125597982078,24.562635887421308,27.410859432641274,26.575521577405105,26.93517543572187,27.294467497746187,29.36392498007815],[25.826636111268503,27.083327597870877,30.10716387239058,26.10009922880735,30.76108977735008,27.253961491742206,28.02610677477502,30.383576258035774,26.533079386387907,27.14486647490628,27.214350580607153,30.144775595096416,31.81921111304412,27.868237835986417,31.41255117301037,34.46242195159285,33.97800514016748,36.93797850126195,38.34224433983164,42.32754765056497,44.95611198031977,49.55791162268764,49.18358228716144,48.29841853893121,46.47799232618203,42.1518362130018,41.76440036579665,38.126903287452926,38.5939135274682,38.648838680195766,38.58259900811444,40.01115726722893,41.940701982732165,45.21687742257154,44.607915918954376,43.093095659011716,43.75798713446608,44.51173290416837,44.97976558479995,51.37439748560073,48.65527615031453,47.11359596542511,51.68036914428287,51.21756322040886,52.59434610096323,51.64906819941568,55.732420826186505,55.15470123020687,51.145978891599995,55.091165137180475,57.93490967031263,58.11226466059699,59.92976412450811,54.679177606206814,58.69161184902548,61.354795570879496,56.99713729230282,55.68584024314208,60.36129700015154,60.44087296956591,55.58499448838812,55.735246211400494,53.28859015969542,53.94729290692385,52.73829472246608,49.68980435840465,44.95151878327325,42.08326979910622,38.23933618062256,35.35392817257244,33.85373451859387,34.13323578320686,37.11632606728003,41.292611208335096,41.83598561725581,47.98448814308049,48.51173253538601,51.09403167734749,51.47474314670255,53.69838782129668,52.69470461496985,53.45239573721047,52.753317298622676,53.40483245784813,49.905216405998125,48.028170265066784,48.65085601287296,48.87277519321983,47.12507773688192,48.843812681961445,45.35171688140879,46.55472221905429,42.89392070884957,41.15675695381025,37.07898800073574,35.521776186308195,31.94143606792868,36.67833220096265,35.396115975146444,37.54734857516628,40.56566406009088,41.74445123904057,43.831329605806424,43.910922956502134,48.1889441157474,44.28109175257913,47.57479265493339,46.93420392202473,43.20988479342284,42.646268133754944,37.83324341348799,37.42468916670866,32.92324585583839,33.46007712593018,31.37341332935795,31.610357746424715,33.3807482210093,33.81268051205935,35.74706272373174,33.98771875994891,30.716109694245702,28.787179599611136,28.061330159605248,27.9478420051871,27.470640110131924,31.810989941616253,32.44329154423645,36.142249891559125,39.43001689152647,43.70341851490171,43.97911230711416,48.36313936208515,48.68229476730319,48.98232453772088,45.00491461648279,40.604010697972214,39.38051349141731,37.05649534981151,34.66329686023141,36.772035065091494,36.74023015949947,40.57187956916258,39.157505535530134,38.054365280521985,41.34172708411874,39.34820518515012,36.98296139254967,36.31301584386284,37.02582883832744,33.64369258446078,35.91958354306619,33.15545142364897,37.34133761507544,34.66891071674927,34.88488944050077,37.22248001151159,35.84319778953999,38.48783748409521,38.517808803572436,40.59414241686733,40.96237783731411,41.86178672509549,40.69506816580501,44.839604018658484,46.4270780967517,44.20455666056098,47.091966771546396,48.51586750346669,46.378023399567994,42.61116717897923,43.43688222198962,41.32147353818813,44.76152942196987,45.62897935145773,45.864454351625646,46.757228828940704,43.847833668609184,49.50853892342551,49.37627329437014,51.06298177008284,50.42724415563936,47.03482935305285,51.67815838818238,53.96907158518652,50.994047741848405,53.335497458134505,51.59859721830448,55.85780020655995,53.26612139548803,55.470431942128144,55.50521678544013,52.858473413930916,52.7435295001671,50.95147477289734,51.76368747370006,52.2843134521618,47.61842281118588,49.065805122796526,46.39499957008469,44.97764536445422,47.207680335111064,45.1201924360048,41.58822007818921,42.63428810285233,44.496541918570585,40.06241427053877,37.59389574073429,41.13324322194303,41.737005452339325,35.82848729420347,36.666691713775066,38.81047510551104,35.34089169327981,32.49440672352014,36.010055225646255,36.860096047734714,41.11789005841023,42.610968919767345,43.46368698339098,45.917044908707005,51.047936205519726,53.56623005875044,56.03064462778872,56.443258209172534,56.020281440913024,58.52691051388041,56.2085621903711,60.467665860660944,59.45939859119084,53.52338108671442,56.28083393531169,59.809643025941604,55.770131515394276,53.78017985521625,57.21018793836734,57.3277416489025,53.11338536178327,52.46040390281912,49.12646740531289,50.863776650301276,53.55199782964854,52.11982345363818,53.570117719673036,55.39592884873225,52.54081475926364,49.575085653342406,50.65230448390062,50.15161621800569,45.87550221106927,45.19994077271859,45.84341168936358,43.120058587817255,41.04994645593141,45.26442709496778,44.217560673148,39.413176518102865,41.90411089670907,45.73003594699477,45.86458394319985,49.25686638092118,49.07426280023142,53.0141277700687,50.995385740431466,46.12924755760225,50.306553272050785,51.587831396891396,48.26490577018012,47.73574210052356,53.5089731260563,51.762271355107515,46.99416537778789,50.012074141397264,54.17572305134629,51.58588715285811,47.93574184933556,43.14067666684614,46.28335231487625,41.80483413864347,41.890490472174086,37.168515276697335,37.826274295191254,33.45096707721067,32.844521070149085,35.508519376484735,38.603132215234176,39.62994115080042,41.525377186110966,37.86211593727256,41.04175792739248,36.676402888103624,35.4276807330085,38.78245348878529,40.15403299777001,38.57000724425563,34.80700535840884,35.19572230153914,35.395988797264884,31.879094441591953,29.617425116666688,32.24886278576835,31.514093237136567,31.796257610666917,31.981421296363852,33.96379258926529],[22.050694316919788,23.709588877785222,27.26222748590596,23.991676752093657,29.12382637959172,25.473086130879246,26.972534756517515,29.298057466023273,25.939385988540817,27.404215640105935,27.778603198980147,30.28359692576942,32.38411102880516,28.965557197873505,32.72494425385581,35.56158903470624,35.299998903924774,38.722598926775476,40.608209489686814,44.279536447100774,47.24212951954635,51.762887169030165,51.555832655126906,50.76107213458554,48.58830087923914,44.35037217182613,43.505255096000894,39.669668021118945,39.98869496657525,39.61861549466099,40.12263104306624,40.82549703528823,42.86820131624063,46.51884512668062,45.75740202052404,44.49281076184643,44.616913282961534,45.79737639221476,46.217033258331405,52.523663045031206,50.045591753913314,48.933692190527054,53.515603466848106,53.09596793053751,54.77670252667876,53.8006986054803,57.851050418590276,57.06021751987247,52.82001158969303,56.62262146831667,59.43884447330498,59.31828764379441,61.28222381209067,55.991900149849634,59.89809214763681,62.91558390365873,58.771823109526906,57.262151237900426,62.00286616532394,62.408004326145274,57.64703078411889,57.86381444787564,55.32460242285246,56.41118632001787,55.103741797039774,51.75234849732257,47.41279087000904,44.28313556277502,40.81118749422024,37.747273547657585,36.570459135436614,37.247763012214534,39.85621449514786,44.10465541677893,44.14750090587993,50.35389033233043,50.57000134552898,52.97412905875854,53.133574821369365,55.26600672302441,53.82724546313361,54.45530650306093,53.30468550289128,53.935439578331504,50.65828863008659,48.83193716251514,49.91546318704764,49.853911623624406,48.67643166430069,50.30228648572611,47.124334588839154,48.61922913356151,44.798111216398176,42.70086165296643,38.470356564722145,37.03299840175584,33.3012941588062,37.454858849201464,35.71268241160954,37.18509682561447,40.665985111441934,41.14552998726766,43.731927900410064,43.23538959341979,47.583559051924425,43.38183967060319,46.324874640676356,45.63633577834156,41.64615739096476,41.203224977527185,36.39966282200576,36.67127134609271,32.32017567653591,33.39572920184872,31.94654409579359,32.50215828391781,34.758958897548546,35.47587442572124,38.008444708488476,35.942887219960156,32.72924569632402,30.355739517588663,29.45553031723939,28.712655477410667,27.53557232103997,31.6301826670017,31.34683585256882,35.297114323608675,38.304445025664535,42.80612027039234,42.847513572500176,47.14748370154826,47.90487941672304,48.25900789522126,44.498370758555644,40.23925661983838,38.69459330671247,36.997496355311995,35.075271055216575,37.46699989725155,38.0653237830305,42.201571312689445,40.799956577099216,39.28658316025767,42.53463106262327,40.379920492823004,37.8012890070007,36.75162447850824,36.94726690090843,33.30623313402455,34.97312870611522,32.16070547156858,36.01990364052885,33.04879162133314,33.956637562568574,36.49596498392059,35.504716899479526,37.840120273008644,38.49006623910986,40.14809674445258,40.91150658514297,42.40766548929267,41.33651017596881,45.56836904286322,46.97567148459889,44.86134850259025,47.304030878598276,48.80519780847193,46.28987648145146,42.71864747899463,43.34916987346736,41.49291542917973,44.92705519330242,45.75777406639307,46.07672198897395,46.73046954245251,44.115253128174466,49.6620837822947,49.71325097941138,51.09975931512821,50.59235548074681,46.670319171914464,51.33887179503583,53.738280268496744,50.975978919785994,53.78270103249425,52.4319672615112,56.71273797432729,54.34191248003977,56.14372400205627,55.996958429659834,53.163216278841304,52.679331194451834,50.58861415874955,51.0871389740836,51.25286127992354,46.450892606093795,47.52343733174479,44.52048001545914,43.085505578977035,44.84573500312877,42.71698537832517,39.38746629965502,40.11354694566481,41.641563864426146,37.25031090542392,34.87968797069506,38.029529066782565,38.396802721621405,32.57106377150973,33.23368847759047,35.06905710301314,31.618046501811364,28.810188172792433,32.07560870915884,33.23469335162585,37.13267387553963,39.12727552986222,40.02038924715889,42.20519326788086,47.44525182056669,49.67279563410316,52.36420407166663,52.90023217173784,52.75827976752842,55.406718877034166,53.36068424796431,57.69491648924915,56.50813450388525,50.77350810985477,53.76750370236259,57.26589243404231,53.20541582724767,51.46629751453578,55.11582091341786,55.088006564997414,50.85722757740079,50.69227712868744,46.98058942686586,48.93266386099046,51.378027615230486,49.584014948415316,51.133248528395086,52.65264215325971,50.11006259207773,47.1365422331013,47.724310758555696,47.319732685516534,43.26608115364616,42.24816004159746,42.619624165239486,39.91492121500901,37.774166355734295,41.71304545725917,40.526351464729416,35.69836418807336,38.07196947727992,41.79857922769705,42.10236007341092,45.6572034133254,45.807871795550426,49.7155810043802,47.40749348854306,42.80117725869899,47.216659179889994,48.290102647724304,44.93932663132664,44.839517592942485,50.507024585902606,48.586255301708974,44.066277815886295,47.39565079718581,51.341537240287145,48.6541240915901,45.167697439061406,40.40217873167457,43.52850659347587,39.08807722332883,38.67237287586104,34.169944270799846,34.801774072824,30.447579052233472,30.100461885535914,33.02417396241152,36.236344985636315,37.506860504525754,39.15093206035437,35.83271097506148,39.20084750681242,35.13198851364772,33.21573625362359,36.629381908656626,37.60366804423564,36.309240069018735,32.630279925821924,32.36495828182124,32.517872098115525,29.647274713678534,26.841681448769478,28.936387134601738,28.225385810839235,28.459114457993856,28.553639251897838,30.54457755391073],[23.03507612479927,24.40470686891003,27.848581037016988,24.28137606896634,29.56275193596109,26.61500025794754,28.174969430877773,30.924918298099097,27.74862185122194,28.969820603083516,29.65077331410328,32.430926566512646,34.04441264142653,30.49935257463214,34.52757430120469,37.31574552037894,36.63345620072264,40.028103795272756,41.548332920949036,45.30556865368332,48.11048130930786,52.64341491093251,52.21178505416131,51.16431439256859,49.09600151434403,44.9243743512617,44.20096365859491,40.529855855976535,41.216859499994136,41.145175083154335,41.911819380265094,42.743465800463625,45.01749082540238,48.544272222357165,47.57312578317767,46.036319900770934,46.2035655768725,46.97243808568286,47.151242966259495,53.409884856757806,50.7075508437761,49.74895105257869,54.305021883096266,53.630200037679494,55.124235996846494,53.90537123684943,57.94934062907382,57.42623387091158,53.062079605490396,56.72743925417022,59.80550872160121,59.77121757598574,61.897424859454475,56.6621006910918,60.822707321412125,63.73778342397297,59.540810677557495,58.31760884193832,63.100016042543004,63.273398949558505,58.625506049256394,59.09615681263893,56.74785799352841,57.64633955953652,56.15562141839169,52.93046367854449,48.51769555647881,45.6012799438322,41.94270054837632,39.159589127570236,37.77852284750901,38.47624193068593,41.32947203860354,45.395534932683965,45.70579850646457,52.008316299314274,52.087440118355225,54.72415987487861,54.74745626843947,56.69650173771284,55.330952939063394,55.70902197579072,54.67024253431671,55.022866433207035,51.620652276909084,50.054644377410206,51.161635295883244,51.42724936947996,50.152072899178975,52.13696733344672,48.909697830672684,50.51872800652281,46.79299599698578,44.84236183508378,40.53589639153155,39.28323128799079,35.44952909141736,39.70487143420143,37.964253748520306,39.650732164599006,42.80212455039836,43.19555649598837,45.54511779286415,44.88898636594364,48.92967858503682,44.62741589155365,47.49498133300877,46.515584758736196,42.513075433881475,42.383417570328696,37.49487446805375,37.72202655455922,33.49881025684958,34.25429907116793,32.97991990593302,33.151173800483825,35.5090006058426,35.81233075168686,38.55786251571132,36.89127003486376,33.53366975306531,31.292197305910204,29.916215059036336,29.326596187655138,28.34763896876094,32.14969342947616,32.19347714868292,35.96428793802631,38.95526719562207,43.571425739981684,43.21514412251739,47.624070784404736,48.22800894385111,48.929280302319114,44.863147591030184,40.66804905680463,38.742560396116794,37.07843626642679,35.05222405795887,37.65938056352779,37.90467749088458,42.138310470190035,41.09134606185895,39.68649706871652,43.11314568136006,41.286260031887934,38.62975069668365,37.91771983766014,38.19992533980352,34.78303909781059,36.595568169325745,34.15041796729881,38.185007060788074,35.54032838170823,36.46858240800554,38.75677642435121,37.52332121937499,39.66531888719358,40.18690293054718,41.53401946553415,41.887759118617375,43.46562372262471,41.92908712184792,46.27768913501626,47.35756041573098,44.84065568714589,47.30661697156964,48.49545091780845,45.95370214497706,42.455940286788035,43.3329536126648,41.67855401073107,45.41546511384725,46.52609693282348,47.10513848376335,48.02306132946673,45.570566247010134,51.19372639247395,50.9283477240234,52.305332654984575,51.44060276787523,47.64685500033047,52.060399262609046,54.27685288354692,51.443851607187135,54.30697741878677,53.01999163142146,57.19682038375533,54.48507175834873,56.276562170842084,55.94321683768063,53.30895879906094,52.68694495869991,50.624293833524355,51.166501007711666,51.27166930244837,46.498815791465496,47.714573322689915,44.68326572213904,43.600992545556984,45.342981097406785,43.53762466953201,40.09838218579034,40.4906451127579,42.260731407605796,38.043999003078,35.158258737488794,38.39086088912572,39.2296591074385,33.249381635640965,33.60146416953771,35.62724532113672,32.49932839382258,29.27375365614614,32.29440963575957,33.221065513412334,37.36671267544455,38.781120723610826,40.0243737318094,42.38210266865401,47.54472515666797,49.81313009247881,52.51384544418748,53.355135609355564,53.217603545934516,55.990179449655216,54.078714741184214,58.255226421584084,56.86241011016663,51.133439546128244,54.222748541155525,57.45721513979852,53.24755748513131,51.6164428155669,55.26065737059099,54.89685501972676,50.622885148890454,50.639239627450564,47.06919895096495,49.41784850492293,51.937322614595224,50.315019161504644,52.122693324909015,53.819021571936425,51.410272569154266,48.18360119680574,48.8652836342716,48.76144194937042,44.62825613626657,43.37501967272574,44.01099493227503,41.44445493162887,39.004993975357735,42.90086964772059,41.949333954781835,37.09936401155348,39.104963931362136,42.83800097043889,42.91373310488523,46.5386290491441,46.708949024477086,50.45781852369356,48.00203503287968,43.32814153804662,47.71807220588952,48.55997707153304,45.11808176709441,44.98615664805295,50.56496981747889,48.390144999214186,43.82875144072494,47.20277430073156,51.0074938097003,48.10140776263123,44.583819957454,39.818364729037604,42.607733010259764,38.062482387440376,37.911901216146525,33.5008442836201,34.573746172787644,30.46071412293703,29.566245858937627,32.51714115563215,35.49448341408657,36.98389552898181,38.99978007544843,35.95876737452982,39.52559896373776,35.6036107597394,33.92288908527559,37.7319720200668,38.83262864736116,37.863289919731955,33.88041991853848,33.56008626662097,34.135925104689846,31.27940610104818,28.104634744006354,30.35784206927581,30.054806762989365,30.40997638790158,30.552877442588727,32.471379344801214],[18.13717994891863,19.72794658793542,23.59701998900471,20.86400617862846,26.532818318445603,23.760454197265027,26.089735449927748,28.89525682911356,26.46686183479421,28.46517017415382,29.607763019541093,31.978824829983267,33.763176090149095,30.869346567641884,35.156981228147444,37.611791073076255,37.021574424470415,40.88408513715413,42.83778506360912,46.188517317212266,49.320074959300094,53.709841958610525,53.43127663965488,52.45461095332969,49.99377701701309,45.99437405483572,44.75640718468489,40.95021649861187,41.56460945569108,41.11519553030425,42.66010807198458,42.69470325205004,45.19948956061902,49.04883863319433,47.79160590829941,46.44153803549112,45.99173232386082,47.08802284238209,47.13333390286036,53.20211624891012,50.75652590024742,50.35914149780287,54.87990668963268,54.20545686446252,56.022741038058356,54.74390834204125,58.71150595707233,57.97043136090975,53.349028856505264,56.79101662507368,59.84685435894575,59.47489709849147,61.788722597425746,56.5619243716856,60.62875849893098,63.914738220662386,59.99312630001454,58.621801667713186,63.46020820765627,63.96022065523657,59.49564999373948,60.13176122108998,57.76273056136983,59.11708852378959,57.4454677932989,53.914559552701576,50.01402959102611,46.88488277998536,43.66400482961629,40.80730299382509,39.76678823761652,40.969517000245474,43.41139065655827,47.4422941448122,47.23208420382799,53.59593315627473,53.212191920121604,55.71793245775396,55.400260965115706,57.14102003440072,55.298334012708786,55.42369118217166,53.91441923207604,54.14341581845472,50.99317609393685,49.586776158337145,51.22691063808183,51.287936879564874,50.659433046361826,52.68277790266077,49.845761749046666,51.86687701337785,48.03845622326231,45.760346757296546,41.284770003642315,40.32072399501183,36.31097071440194,39.86500173132518,37.63531599685319,38.68241476448922,42.06298675799069,41.627868126615574,44.36024988307759,43.006159456552915,46.9381534587573,42.337434358166966,44.76312016751786,43.652337806433295,39.417323280714555,39.52024554341399,34.69635311203145,35.64299356239372,31.73141326478087,32.96568193904478,32.49923184353313,32.926522575350944,35.80965664529192,36.35738270348601,39.79766664812774,37.8901593466085,34.6346889623275,31.969788163818777,30.327581133472435,29.06814231357419,27.379428686587175,30.70104059847123,29.802264911103503,33.70860709302331,36.32673881777562,41.14780463319361,40.45109296224166,44.735727947153684,45.77784171097577,46.60160127935476,42.761328741323595,38.80155753621021,36.48870735804923,35.56922418158996,34.11663303334906,37.01636975128228,37.95339710580867,42.47459424978046,41.50190792037861,39.65803620438398,43.01470057065266,41.1096479567565,38.23629202947793,37.206348943984196,36.929933749279286,33.39342809105536,34.55950681445337,32.31722915752554,36.01631814921731,33.36833707563549,35.00049930733584,37.267903109332636,36.334815265124305,37.98813296150991,39.11843548758968,39.842736311550524,40.48703892133662,42.73841650295763,41.213820104695316,45.62166578388676,46.41162261108668,43.9997978850922,45.92503382769837,47.1631373434078,44.22386027524224,41.00316496538656,41.66588619173163,40.35754892733863,44.081188713784485,45.1981602126822,45.93613980249412,46.66177135568394,44.63626260517718,50.089664726141656,49.91281505110009,50.933049455238454,50.112597836632695,45.81060594917672,50.130995691420615,52.40339414639005,49.822973922236685,53.1920665924453,52.37526920456455,56.51422786310178,54.03257256508925,55.33776342960242,54.78088953207715,51.98006456678473,50.9325107018718,48.56157338780158,48.75818796700845,48.47104726310209,43.60500214269714,44.42795542694139,41.07616289320767,40.054914288125495,41.29566026672908,39.55219272172099,36.326620281702326,36.30668728123062,37.79010521467854,33.71048939687592,30.82401793896106,33.658297373824375,34.403012657003444,28.51284324279298,28.611135072197374,30.401166781775643,27.426435922861756,24.131808655217384,26.858417625146913,27.995890349615646,31.87217610750805,33.62636973084671,34.916906477800666,37.06577311852257,42.287100940502796,44.34296257225229,47.19942607780762,48.182024683544306,48.27651091613701,51.186557088106184,49.559835686952034,53.74759083432542,52.15933397328583,46.64151250379379,49.95546846251601,53.10047253426572,48.873066948710836,47.50617305386202,51.34440087972897,50.80819349603118,46.540082411441745,47.06186314491067,43.15082227179407,45.76600122297736,48.03750774611399,46.11545528364946,48.082415921311046,49.54066960980725,47.494238132852686,44.19257164785433,44.44175325550781,44.5521213334852,40.63044389875861,38.9700628453962,39.47120881097722,37.01569750357405,34.393819703981926,38.00183031880581,37.06140723125096,32.22644670264638,33.9471119579982,37.587224765795966,37.70355436848652,41.45956339223957,41.91350724365334,45.56569707636037,42.8424128020696,38.393067168350846,42.96220206639211,43.57277594520876,40.10842496256648,40.359590839776864,45.8002944822656,43.46217983187665,39.14289999024117,42.79399829311234,46.37107990851467,43.392850916671044,40.0420407848205,35.33487468047852,38.12234622446727,33.6541841715299,33.01201992271535,28.822244786761146,29.86609307661885,25.85023032785877,25.18471818415057,28.363781929764265,31.426988338075386,33.14708525375794,34.89986331120898,32.29572055179784,36.04516702293406,32.53889815142583,30.237497008797053,34.17469711360007,34.90669815206511,34.39215736791449,30.431249870870914,29.429430255423213,30.16048889318192,28.021928584162325,24.186827610130372,25.943690817719077,25.927991264486046,26.348022203756432,26.493632693358624,28.36677114714079],[18.62726305102483,19.19603038037579,22.13438112921636,18.139849179573773,23.507152118307502,21.606537935377457,23.403670958100978,26.80046725320007,24.337847900784812,25.569737656670835,27.086345057665202,30.027725435862184,30.8650218905971,27.692541128135453,32.325607029181676,34.703681575249796,33.45542742560995,37.202556119913105,38.65375628716997,42.0898272634449,45.00428465276449,49.38752981509564,48.85189431509077,47.61748826639645,45.27722141366661,41.36134253626276,40.29266902674451,36.71729431695575,37.81269607906857,37.8648793743733,39.71457495252882,40.07420984887187,42.93650888078716,46.48454628322862,44.90600336929979,43.1036419975913,42.83578099798302,43.26301264620374,43.02560551571707,49.052958495640944,46.30436790888195,46.00010169025862,50.47644002138983,49.527870028378835,51.12899959768461,49.64184860721152,53.60183985539997,53.12133313456963,48.43457380992637,51.790781343616125,55.0758075043558,54.86751464927369,57.293922709643084,52.13430096594553,56.50337629263673,59.58282042885642,55.56732879791802,54.56083568138642,59.43009157556573,59.6080653403967,55.27884011371381,56.234899273219106,54.14379477819411,55.238934076953996,53.32185578790832,49.969922047824326,46.00571120460166,43.17553922180901,39.75867791802632,37.31652393384721,36.04548223769405,37.394219709547606,40.06539155788306,43.78394849037064,43.89663570516612,50.38061387962924,49.75310866426812,52.613318578073276,52.09388557624117,53.57346378987664,51.92372638060173,51.75261871980664,50.54621133304259,50.44353684661575,47.06115475190732,45.94841134425902,47.48502855320161,48.06229464548433,47.181311701462725,49.75754675109039,46.833432879884114,49.05032820794921,45.41109912042262,43.41539798158771,38.84006576839337,38.238953027452226,34.07627842535155,37.85406007245583,35.765308404999395,37.48503016471377,40.045428455775756,39.82427195446364,41.91263632002717,40.66167482827943,44.14874760414286,39.621485729359385,42.23700597276566,40.850103741044485,36.82160841542659,37.15442032380632,32.21175652426067,32.58268817527171,28.718033532303526,29.267768252228016,28.74477641503123,28.622191091591443,31.50068082078667,31.56253863997821,35.17864448277301,33.754287265542104,30.353437356126598,27.897265525945187,25.73167856123817,24.77420903381325,23.5665050920806,26.692676310428286,26.742084182175827,30.29036909453889,33.12340676730195,37.902075691619565,37.02153175343762,41.49143965631195,42.05978218402839,43.155025903009864,38.870656828403405,34.85507412196227,32.42681149616251,31.120788173514992,29.340327486724792,32.31985208704125,32.77845960775881,37.31598568429367,36.64892524052096,34.992656537645686,38.535303251658185,37.036305844553056,34.14213348461853,33.65160052990992,33.71380443917118,30.612609860076862,32.35698192437107,30.695236359802003,34.90758840656943,33.086138058281165,34.23055604071555,35.90425612551269,34.350669165407616,35.87620678404368,36.477818825828265,37.0001875211558,36.926400552760015,39.000753037552016,36.92495582113855,41.4221618975393,41.96409652597085,39.16318108513523,41.32479056156971,42.31603685865521,39.558963764378674,36.24766273271381,37.1978165314011,35.898624986986505,39.90845265252509,41.32403945190241,42.306623711046605,43.46660565970322,41.51285897871181,47.112462238769666,46.446164508065266,47.599632660726364,46.31062071198782,42.43689895438947,46.4867526102421,48.52456130200981,45.747427803673155,48.93486699390324,48.016674451294605,52.05119475938409,49.189343344134016,50.64455275295255,50.0322233869919,47.46364915101305,46.5154952178745,44.34372022795926,44.79413170907044,44.74375541531267,39.98275556261923,41.25289336829574,38.19592760699879,37.45935333169654,39.213014039147204,37.79228660372353,34.218619611050734,34.302907055303784,36.4205948690801,32.422425186525686,28.974734936934354,32.441480913303074,33.92216926764114,27.76748557102573,27.92700999309027,30.395855966197068,27.65522398896173,23.98240140164182,27.057598631514956,27.46211724608187,32.15379333148728,32.71583001563175,34.05075831561598,36.76010254941258,41.7423299719243,44.35739097609714,46.790077726086565,47.73706154006657,47.39014862365353,50.184549523291444,48.28934904548587,52.2588663030079,50.75806220647364,44.96038435413259,48.052799524351265,51.06519388083054,46.75991241705449,45.14414295638636,48.74484432935031,48.182634568665996,43.892582195774104,43.967753011726785,40.5326622028901,43.21330879717791,45.81513043382689,44.45389686928771,46.54839478266777,48.562021495540776,46.28143713636305,42.71134431782955,43.669628501603,43.98931761861577,39.689928938886894,38.20772765549163,39.38561364980651,37.07009644725073,34.20669464990306,38.202098089319925,37.7642430971772,32.95609988027056,34.49158902919709,38.3107348368226,37.91002345050646,41.43904560088838,41.3823714885498,44.946917596393725,42.56938573852606,37.6475351527251,41.84374519518133,42.61305350739726,39.136879854960036,38.721837786919224,44.28092212637981,42.08689053275731,37.357060637410626,40.60324736546065,44.43949253968289,41.53438082809157,37.916137572025754,33.13639891842656,35.923241796715665,31.37155010658606,31.568050097649238,26.979969279850252,28.191298706312146,24.2350966059194,22.92877139709164,25.758745695494817,28.625137994446813,30.110893415643414,32.36394430245206,29.491539612762963,33.21581692389297,29.510770835551416,28.10621180176486,32.398514835468276,33.72939932371783,33.273269955229416,28.835824055042526,28.56224628178096,29.867713079351848,26.963777201896264,23.319596870802624,26.045904073006767,26.543386376576628,27.269839850092495,27.73014256368929,29.609748835935733],[19.56279064942504,20.47996447389069,23.958226823835666,20.946964101595164,26.68215864220773,25.260383824457918,27.698803739785166,31.10200183565215,29.13183906624523,30.815489640423266,32.463369108478375,35.139867042474734,36.17612786597163,33.27077785012491,37.931132064459774,40.21402785462248,39.014044643480574,42.88308450388007,44.36736833721914,47.70688459439463,50.64829854260798,54.97973805023661,54.39759119336544,53.06435634627129,50.68119270544932,46.87396261779688,45.70394111302094,42.16916788207085,43.32189850579038,43.25723129459644,45.34829194402966,45.42072771053844,48.306559258831136,51.99687493472713,50.36217176339662,48.641696137519794,48.133085375709946,48.644919187836365,48.28381310535496,54.17162001030146,51.45841867549332,51.44281110066071,55.87335700455207,54.80952515515439,56.40835916845197,54.750344771703425,58.6513940125363,58.27346390341533,53.43223031485123,56.56777522290915,60.00463487986299,59.687939680632304,62.28791383916684,57.18820049758116,61.60517309797125,64.79686520155454,60.886606350549776,59.935790430508035,64.8220897104181,65.0360630661429,60.82463723763707,61.89446738180399,59.8312500252417,61.0017403445112,59.010357184386955,55.62074657481757,51.770425276193585,48.93917357637718,45.58112997418987,43.15309080365707,41.9082213223156,43.260107132956385,45.93034150220874,49.646669907839396,49.707293006736826,56.18921911924391,55.481695755817654,58.30133562133739,57.693358946946994,59.08746637098546,57.26442846258181,56.937519808151734,55.51844431649979,55.275700043455,52.00890685474346,51.06368846604688,52.84258874377058,53.37333249956779,52.73898787118959,55.3152809268072,52.50868179227499,54.78846583695426,51.10681150318864,48.998256183639306,44.407098395175964,43.78818759853262,39.62801389251182,43.173992633990764,40.89050179132957,42.17145644924203,45.01805741043927,44.32320653782321,46.69741766094078,44.988435657087976,48.34737964346088,43.5931574595676,45.78749523792788,44.18361003491302,39.959649439250505,40.624202844748204,35.76519162780732,36.73368754855902,33.17608685455341,33.953801123408454,33.93873131313716,33.81744760795587,36.91720372644912,36.883904658777304,40.770476314607656,39.42961115983946,36.04132181933725,33.52785686911557,31.15118082841025,30.001101235586724,28.520216070434344,31.168587034929303,30.649695319420225,34.17696683305575,36.64143286801536,41.60347076679087,40.18791133431858,44.569858667355376,45.42548273614298,46.83989323799755,42.591305541863186,38.850585478691315,35.862354214740655,35.188528636503975,33.74049664221893,36.999676574242656,37.543325027750164,42.22177476829408,41.83448527962468,40.07479603012601,43.642591923370226,42.25773427171496,39.26029704746012,38.70984962448105,38.467047373539025,35.33869840306931,36.614798164564434,35.04417611790058,38.91608092781361,36.866240460101835,38.56014476288576,40.38002373554906,39.11398337131606,40.35864591089771,41.36061039576252,41.46913160579437,41.49472696696183,43.98058306598834,41.742917964150855,46.287621535330224,46.47685515316731,43.4758256282826,45.28008347508758,46.00776200936146,42.96103288673667,39.97544902358936,40.98057003135458,40.10487020592037,44.260826491247286,45.816582211383995,46.996859071384776,48.10079468384925,46.44251196418784,51.925541067170236,51.25918709429874,52.18246974114682,50.801437074616025,46.65659161635988,50.4905513406793,52.45069608058219,49.836048560359686,53.37406038794215,52.77641434294432,56.70237149755545,53.75698134903503,54.91121350447129,54.007645579064814,51.51339660344511,50.15385338797254,47.783226943249616,47.97503031433426,47.50962530375542,42.73129169971354,43.7125034766128,40.30290972586743,39.917249482375055,41.03689753151422,39.89509231093731,36.5648655273356,35.90564237909071,37.7622712262523,34.093393246647764,30.35237348339011,33.231842791501926,34.81687398033334,28.809641710846314,28.317711793711723,30.416034886183507,28.144776143204048,24.18668686172991,26.35388418292022,27.00001469908257,31.26507004661689,31.893462747032643,33.79860192364953,36.23051770607484,41.23208651292125,43.35567896167076,46.1818192761398,47.689621389921165,47.789025360146304,50.890395668072635,49.532943743449906,53.40320991125216,51.45822943554527,46.02336625388553,49.48886626934358,52.14039114285997,47.69147637415156,46.55645725996939,50.37484709978753,49.24621623964913,44.94203121899068,45.85017246411809,42.17181079023051,45.47767855100159,47.81473763928378,46.18025541851594,48.588454972880335,50.32093487440108,48.56137142296331,44.85652839964727,45.23618894992578,45.89024981657885,41.90402340347717,39.83219203683556,40.79887032009771,38.647484216537464,35.53965571856517,38.992986685248304,38.51745969309917,33.763850366807496,34.76129523262352,38.34065637227443,38.01838451829329,41.82646282380489,42.30430293038904,45.615580176072086,42.666907381092976,38.16511022914655,42.62241083613721,42.8035270014882,39.223335225639474,39.435460965660305,44.64181027358774,41.87550838382795,37.54878120660881,41.26449828206032,44.53708519529901,41.2017784979513,37.84227036465886,33.19596199271385,35.35944689844394,30.755795982073067,30.550093935041332,26.60904907855231,28.446667716447692,25.005039858596575,23.356764504991474,26.540988480944012,29.127130106505664,31.256743350172417,33.59735161915808,31.611644168864004,35.659542486422296,32.556750839132135,30.6297471534342,35.16839939277061,36.067561447077786,36.17267459571996,31.792081983549956,30.667627294428385,32.139151304567605,30.135414957418124,25.7678757648112,27.721271216027773,28.45002511921643,29.088818940941266,29.337641027466358,31.031385494007168],[19.959526059614277,21.16618316678,24.96126889609356,22.719893424512094,28.566843969035176,27.22625004711808,30.032829113288606,33.3178385212304,31.639718292961916,33.67362408701926,35.35574076528583,37.789643977396565,39.05792459765518,36.3788929704879,41.01184367611791,43.22587073909617,42.16581737154671,46.149246420072075,47.78714372180546,51.02098400359105,54.05189828402079,58.34300073696353,57.81333221803587,56.50359463107141,54.03141124790874,50.27375699232843,48.970246422380335,45.396382935112484,46.47372620322289,46.23393664642501,48.45673302467563,48.26920475539569,51.12817055534691,54.95492780507325,53.31816865117739,51.731242091383976,51.02428248432122,51.72368714469916,51.35098401954874,57.15889183206542,54.55351610354274,54.70036656767969,59.1127561371071,58.05861064411761,59.73986825962565,58.05347750107839,61.92001197543159,61.49952593412926,56.584868006182205,59.622466396851486,63.06236644272725,62.62854336760546,65.29429804063365,60.21272029585813,64.5727447997694,67.89136672389742,64.07958173560368,63.06372007158623,67.95418415664568,68.28490675836157,64.12076382420447,65.19618958575866,63.09278666006861,64.39826803754589,62.40044465492467,58.925778407950766,55.199214050816046,52.28854750998789,49.0455657388855,46.54322351441333,45.39189027282646,46.785138428005055,49.360449180565446,53.123429305186576,53.040836705290964,59.50501594970088,58.74856738798299,61.472105376874154,60.82073590503358,62.19889621089247,60.215755329342684,59.84908105987912,58.23551519451853,57.98321073019988,54.841731009186475,53.93022885771694,55.88427056329833,56.27982328721055,55.86718171993441,58.35076986773383,55.65733616596695,57.97967819178972,54.241503260922556,52.00574957123256,47.41211294872178,46.76716639696653,42.62053022822831,45.948969077173736,43.51888721091931,44.44609072264485,47.54372910493366,46.53124530684577,49.157091448264836,47.17345405415234,50.52828072024213,45.65809729199391,47.586030043095235,45.9369985208085,41.59863017392243,42.37934268368762,37.62047851093189,38.99460873155159,35.60633415653624,36.63396545051943,36.904807552436594,36.91085867698907,40.14175869254264,40.19623927743976,44.223981060333955,42.795554911135795,39.45499481497061,36.8380924985415,34.4583034034227,33.11496421909631,31.38594649361896,33.82879377851555,32.83429434467336,36.399134828748785,38.62037251393835,43.651103324934674,42.02954826677097,46.29729896762325,47.405811463038,48.90124239465392,44.799906679739706,41.223816532192686,38.02372983002861,37.751328897175114,36.564038150464086,39.92333499572231,40.67633874574204,45.4219576505012,45.08253456815266,43.19931065368317,46.723070889477064,45.298455056677255,42.2491965969077,41.54625483461698,41.06718265698646,37.860488920843764,38.7819908306647,37.19471150278193,40.78469909131112,38.54157038926982,40.595344798108556,42.54374659728552,41.5268722221194,42.616829123310794,43.92558475002269,43.833205649647,44.055245090252974,46.79944792144426,44.61085224037321,49.14972850805361,49.21760330883703,46.24445215237156,47.79324134107823,48.477102629606414,45.24928196714427,42.454725965968755,43.388705899229315,42.714151486589564,46.8486633252042,48.39625504874778,49.62295765141287,50.601105846448945,49.10261619578071,54.47785765960305,53.90959170010206,54.67279470310694,53.35036113559001,48.974592547421416,52.74712692648632,54.72141196334897,52.24841712447253,56.00883543032227,55.614318273559256,59.504945432968505,56.63916688831865,57.58487573876113,56.55538336075415,54.028693939281,52.443070611188205,49.92737620456662,49.92397686711085,49.20228870353769,44.413838099013574,45.136834998671766,41.51415480563923,41.22801549746986,41.91984765089908,40.85493737732636,37.74575994569254,36.71561363660866,38.290052543427656,34.809075401948824,31.096627898888023,33.51547873713804,34.985197314713695,29.193947348980693,28.377481624062085,30.12021631669797,28.092758465399605,24.146893654754777,25.730334914603755,26.63644075974342,30.43863926597553,31.358821362039695,33.49568183197295,35.6377265276995,40.649378843803554,42.39665937723878,45.4823318180347,47.25970773759742,47.66993888236991,50.92610645142624,49.897483415132434,53.74349316156918,51.57520387855711,46.412633128640884,50.08503430368738,52.58122443642731,48.110909395949335,47.26917057149343,51.22613940126693,49.8507235026974,45.574951455286865,46.974139007349024,43.08605383567703,46.646386986998,48.76535020140268,46.88597432821774,49.40907958186131,50.882799104637236,49.44466612675628,45.744334021109005,45.69598310185951,46.48309131396735,42.75320251812849,40.36539671926803,41.10203252054955,39.0380202875997,35.87345600561739,38.942763945771254,38.376967265499594,33.70902096979181,34.43393869241276,37.81562600402117,37.62452234868385,41.577782622698685,42.415824216396885,45.58995926595172,42.31229085208064,38.1565547212119,42.776883506728524,42.63706193646278,39.04267210281869,39.704133517252416,44.671260288935606,41.62672342993123,37.63213749168465,41.62990117797222,44.552285610007154,41.03358519533729,37.89675361843652,33.38707512193132,35.25537615143028,30.722728482461758,30.092140563712356,26.62653063281653,28.663120011948795,25.519172249594313,23.921950338260448,27.27803901509628,29.751769687064737,32.18693986698048,34.394403899799755,32.90024783106465,37.0559680516565,34.30961901504148,31.969655949813045,36.507140326125615,37.07378214147221,37.457791654676846,33.23124105095974,31.573742429340673,33.02518795573008,31.6265854030217,26.93624454343013,28.316314423278296,29.09640417675373,29.64781053766726,29.7542878435271,31.316629020246594],[16.440604520334503,17.86063807560867,21.8739572031895,19.95356425572581,25.846808895863095,24.08088601042788,27.05167643940493,30.138798058509966,28.589592814696143,30.940096131495725,32.62108067128417,34.81191788876411,36.32171834424647,33.90813214520982,38.47945868310784,40.60084139684624,39.77603959077483,43.90529880423026,45.877417899925874,48.935009497252466,52.157122819938934,56.39634440419316,56.05835549163485,54.94084788375854,52.28194685565811,48.5267648706683,46.99681841246712,43.28050870458095,44.12040188619719,43.61308136345626,45.93542723611735,45.45094218681801,48.27195142679262,52.23414355368648,50.610398290594205,49.215810450012505,48.312480580271746,49.32945908489818,49.067630618412366,54.858870487244054,52.46847298314886,52.66502274954787,57.085000903936255,56.204325620727474,58.10882358364454,56.58600176665966,60.4438644994892,59.76106730067506,54.866176899700804,57.95858999320512,61.19660333816991,60.61412796946375,63.20951314390029,58.08824836959959,62.25314642698693,65.73580790151118,62.031958531102646,60.78958887984232,65.6674248707171,66.23849359114546,62.052704659220254,63.02161454219924,60.805447848424045,62.35660815109584,60.4125222871573,56.77303021186523,53.25039202317608,50.15802999969219,47.16189701424608,44.49565971107704,43.564671093002715,45.12122760168508,47.423608931903956,51.25641266499152,50.8640586995916,57.28728964266014,56.45128945883045,59.01209171593915,58.32635961704123,59.740937101844295,57.58642613371999,57.29761089860013,55.49952532327558,55.38717306351285,52.38553442510438,51.35129368174246,53.43199588414266,53.58781681590637,53.410188503190945,55.719176119522274,53.175188895637405,55.57335789568685,51.77197645618408,49.378971752041316,44.77933270536141,44.16639781816752,40.01986638036914,43.07114746951993,40.50686839384075,41.18160148698034,44.44321904171102,43.25894338759047,46.08058354931304,44.01376982291441,47.519112018024934,42.639324763979474,44.53841206774214,43.05289157549139,38.66314758808874,39.28185764694406,34.566372470533906,36.12260737985796,32.72393456098107,34.063463571190006,34.4411441603421,34.74860907644918,38.061796116356845,38.45288829577143,42.53988784339523,40.79785028189241,37.57600141369925,34.76109478588719,32.58940027962942,30.96358786416922,28.92158443853832,31.434511836959558,29.998031316800006,33.73083871292891,35.90102387586671,40.91374592588327,39.52145011886841,43.70804211984403,45.01322872053377,46.270131627575445,42.42476512197254,38.83082512034333,35.83948653989956,35.68668467045086,34.703198701469084,37.97701516319352,39.172522585258704,43.9270193501938,43.34127890097774,41.26315130565163,44.64994557710537,42.98973598952372,39.93126023355003,38.94125827770076,38.26930845373695,34.9121360880425,35.60158319807315,33.90183201157401,37.341684477774066,35.00850114183469,37.208693419492846,39.21914953947798,38.37348126483058,39.42216355791239,40.94207516869824,40.85947701352862,41.394586926021546,44.25391528945759,42.37007600134412,46.849881571253064,47.083423367702615,44.44068994466553,45.861432015262814,46.82650744024639,43.535886129421016,40.71291580938273,41.39823142784302,40.62830726849247,44.543482504642306,45.89740832671981,46.9903650468623,47.761949896295484,46.27336377955593,51.563014227248466,51.19989911065432,51.88706372213467,50.80537585099386,46.226601307450075,50.16481925086715,52.289849890679996,49.91269752825465,53.74520617889626,53.41025813341482,57.37339447360988,54.81636298189161,55.66560965666076,54.740740756754604,52.00923505337973,50.4516524836671,47.84841723916458,47.7510093595178,47.021826679596614,42.167885511929214,42.721327074289405,39.062736219156484,38.48674188725892,39.153596707066576,37.83733174003226,34.800622631672326,33.98711467386489,35.37339192730176,31.724763191516367,28.366402667899727,30.747084619812636,31.873793447943022,26.093877451163554,25.51985586984688,27.175373170833094,24.849845420577566,21.11330409855629,23.03045175086406,24.140869664029484,27.86954956186237,29.337940398618976,31.1041861530595,33.155513683953366,38.29924284832903,40.10814631139528,43.15267673748223,44.63153459713203,45.00241262067111,48.16874303610538,47.01209030918928,51.00861962259438,49.00713129295003,43.7905496698684,47.41038096394721,50.15229936987426,45.789097006906744,44.842942265771505,48.84141574905625,47.768958052111586,43.505238050546005,44.76184046962691,40.68981927918664,43.95780876958773,46.01239484397347,43.97139196614432,46.33333814921899,47.69084859610385,46.176858235568815,42.60902673561402,42.48435719529297,43.10551200755342,39.403386795946,37.11684576884638,37.713003597388415,35.56204199780737,32.51790276542491,35.66887564406225,34.985376999565204,30.2694307166175,31.233125818193656,34.68757133470041,34.619719337183554,38.54739277493242,39.34541308555915,42.673206326655475,39.51545556140702,35.32911206987529,40.01022670230968,40.092820179193616,36.5438797998125,37.21082948864493,42.32407796751506,39.52919428984842,35.50508737828899,39.48527598976482,42.59939455987276,39.30669331910482,36.15640974265025,31.5857675152892,33.913696838372914,29.463601906142202,28.533662583165306,24.833449490784034,26.38243319223969,22.911478487999833,21.872064205854382,25.273973848236036,28.07079190120546,30.29077091255546,32.12650554905797,30.386785363992203,34.44096749039074,31.614101446568757,28.978974875293815,33.31338318858832,33.76294121361414,34.029937229468096,29.942190983165244,28.208177089813653,29.478850504930378,28.17068551591524,23.507944685430846,24.774560725500315,25.446820015119055,26.003496679918452,26.154448555535588,27.788572500453892],[18.004090455495817,20.311664333248,24.80466668054796,23.475516361884683,29.277036613234465,26.367741043307387,29.312352081600835,31.742003670493492,29.81877091452582,32.509775737281146,33.629299033896785,35.4385236633934,37.776071542998,35.36435141217691,39.49233866171263,41.80773547169538,41.60141223210836,45.661892244624845,48.00113299051391,51.12540535892745,54.465085617041616,58.77247052922274,58.67206855517556,57.832859249967605,55.1789192323086,51.24085288848498,49.72901565360505,45.80129518711399,46.157294416352734,45.296431578059476,46.99018992163252,46.50267101020915,48.865407415354056,52.985923347045194,51.803573700274484,50.7968185476683,49.97778661684537,51.55433165846833,51.670388313223086,57.61773062177366,55.44608307711851,55.26692533094008,59.7640679983969,59.20859617420072,61.24092870817675,60.01260086609072,63.93173798442301,63.007041149083726,58.30956651884763,61.65229308510239,64.60503068962507,64.00167097873121,66.35431785565588,61.133075326700144,64.99482727237262,68.53725453807425,64.80562553977275,63.20415896017286,68.02694360752919,68.82380542626764,64.3977182387,64.94227125046189,62.43288533362759,64.095894225966,62.48545015329995,58.76317535173529,55.12050026798486,51.785721374953866,48.849351239961145,45.78827391008952,44.98926556014922,46.26829847814624,48.44108259317522,52.589499038431256,52.027099913816386,58.29818643591373,57.871175147906705,60.11074394893663,59.76594241156474,61.54440543360592,59.395703328632386,59.55580213392015,57.66634212894882,57.99901272712507,55.114733102720855,53.66121318033301,55.59313939358553,55.289184810055396,55.09233472738311,56.81056584921973,54.21097515327183,56.264631535662936,52.32193531448902,49.77405833078037,45.350230639993036,44.29888364930519,40.38123114436685,43.45389445122708,40.96628815256953,41.26888011769977,45.20788119828961,44.23013351779358,47.4985084923974,45.72800421043592,49.7832833733448,45.03223235586857,47.03747518262889,45.99289074899446,41.568950993636555,41.717199173738116,37.10635770267582,38.7661048810835,35.10635906542035,36.88391704040477,36.858327793875084,37.62392284711336,40.70114168488638,41.52980740481611,45.14997885906349,42.96847207693126,39.85143842195395,36.97532438378384,35.45503187968514,33.8184775144303,31.64803190323016,34.70547729777957,32.88253143843494,36.92469384450878,39.14629780400572,44.033444256214,43.184548000178765,47.2367359087226,48.76922582121101,49.56023357340082,46.09961005312822,42.37326136928361,39.875332677492544,39.58568395195617,38.590090568417814,41.58389318522069,42.99572947522552,47.608649919315575,46.585180291242125,44.491221265614506,47.71172787495336,45.61898532962491,42.68782215401841,41.278272285406025,40.55778349086595,36.81616782633938,37.29030777210666,34.89065023195762,37.98001060723533,34.854546300061855,37.14851066567596,39.73063954070781,39.35147256398777,40.78617373473728,42.511052864666816,42.998455851176786,44.146117114293865,46.8060307878271,45.5450639394293,49.89773458717625,50.6190573201438,48.41629355123541,49.926473300954655,51.23793305278468,48.013997643185554,45.04898236811437,45.493634578633525,44.42092648474898,47.98961810343489,48.97495428544939,49.681972780555846,50.080083941778646,48.26979198160755,53.49002881047838,53.617294593047525,54.36589133177926,53.80278678999668,49.055759434282,53.39173250333765,55.77584774029787,53.4589268917374,57.172741756836466,56.66503797985601,60.78951447384139,58.587523780139016,59.56050766318575,58.8840429795916,55.9349253799351,54.58504438726016,51.96174057464482,51.82419936833621,51.156596749301535,46.24731898483351,46.5837240887273,42.89863318295664,41.844278949653315,42.396204274608564,40.590043259150576,37.7898844389531,37.34851487982247,38.22448992287121,34.342371679830784,31.804290480012178,33.8435697888963,34.08409755583847,28.63927242551812,28.40604546317252,29.469671944705134,26.654300037580335,23.667337222518473,25.62607760573337,27.382181074889214,30.315166486556254,33.00714843152046,34.40370728084393,35.955910077663134,41.26213156805001,42.68070221381452,45.953620704339556,47.158939199943546,47.765696158740894,50.85334538134842,49.683578766108575,53.93667936931222,52.111789676498844,47.02786956097676,50.62558469309722,53.68412902822927,49.511578996608925,48.54734679680327,52.61598166849859,51.885915102786164,47.685270473338186,48.87722121802945,44.54480835089169,47.348553363939885,49.22429501385694,46.79287492562078,48.8014346823051,49.71568277112448,48.13725330780961,44.98567641269857,44.4502865777593,44.60665961335577,41.17046496636107,39.10114352493423,39.038020742718544,36.64127102741119,34.09899635861731,37.078587854764145,35.810437246170466,31.113503015537354,32.62530495895186,35.93727734041267,36.45201631254146,40.4214348871509,41.47710765515591,45.01338586024336,41.83387721151409,37.997610940550196,42.86535527378383,43.10673598327023,39.67655117369916,40.67678612526581,45.799653914477055,43.1879400378527,39.41722529084748,43.4875360157054,46.60905088824407,43.489658143222535,40.50347846828232,36.00281150479597,38.570752349566376,34.28442930145599,32.823408130910536,29.282974894180924,30.328526079306712,26.608499879944333,26.365593829813943,29.795496540277867,32.839423868582415,34.89220103953605,36.228989258309895,34.23952801950776,38.06790135984701,35.06215433459994,31.95863470842131,35.69608026519741,35.78747551011068,35.59091745307466,32.052116215753145,30.144958402911303,30.605756792887046,29.55946561934962,25.326345107747006,25.955732567217037,25.798986790350565,25.99293083608299,25.85004348965166,27.545005790688155],[16.97620171357598,19.69107426757002,24.26138597879174,23.209830970845143,28.747822332223503,24.943773267283046,27.762125765731756,29.654673991766195,27.529540169061093,30.475647804497356,31.24001294739888,32.70343163087737,35.57669190777077,33.326724869431,37.11005000599462,39.45741616015182,39.71779182268878,43.76270730555732,46.46792990887907,49.49890254125292,52.97959537254439,57.26567282739809,57.40563923391488,56.84743420546125,54.111206635708804,50.103557237744816,48.49520063881559,44.411294842699135,44.35913518491334,43.182188703448176,44.54944260161842,43.93464298393323,46.01342019795403,50.242976799613295,49.313049208382175,48.614073895415466,47.773854326897705,49.79830107091357,50.196635893685,56.19330851748495,54.26623973402413,53.87441833057419,58.387757249274074,58.12675739548238,60.34397390140317,59.402046862635125,63.32899650599604,62.11280069382094,57.58976706173225,61.10838430212939,63.749920263631104,63.074412611457774,65.21476770867979,59.93999724104311,63.50070463688824,67.12651800488393,63.44591997896705,61.52936614553105,66.28545514338737,67.32738030150642,62.770504280485284,63.01581029339537,60.302014027808035,62.14887684260653,60.75879540435368,56.9253588283751,53.35804324092809,49.81624017331877,47.087353900071165,43.752523729228784,43.17149561827053,44.408726630044754,46.30919069127189,50.620781479827016,49.78615507235456,55.91027278859954,55.65242051170055,57.62534347944682,57.44850841586345,59.43713122823644,57.23784351145091,57.700938190556926,55.71711267859566,56.385897804397224,53.640657427462294,51.875596431934646,53.74136658185284,53.07310051237723,52.95933428264727,54.26121577618388,51.72010333657174,53.62520459926559,49.605412136587475,46.91738731140611,42.61611024680016,41.37118918370869,37.60899242004107,40.52755855158527,38.056043686455794,38.095591948024676,42.40636197556485,41.55399635015024,45.08214672389693,43.543003346488625,47.96988350402725,43.3776889082166,45.51461832283057,44.84998943474797,40.47432873693357,40.20010102696901,35.69900833987552,37.35053380066091,33.532738768393095,35.649521703478214,35.37847747420446,36.55421169275422,39.47058714203205,40.731145436771904,44.057161841717324,41.47298371329325,38.530220911362285,35.55448054050937,34.56584213726349,32.815703284400676,30.483376561963897,33.88999119550134,31.76431077215455,35.99862248981728,38.274044065474854,42.985769903211484,42.675891143647696,46.60281831472641,48.2656129601081,48.60950052739894,45.503486241560694,41.68015448711493,39.69937541630313,39.275631069748805,38.338431394059945,41.04486091114797,42.78535508756872,47.24964638659847,45.82515727847063,43.652415904392235,46.66308913161727,44.212999583217155,41.39831611364281,39.62902516532179,38.84138895564338,34.86085736046936,35.178951935830575,32.332326690041974,35.193624422056075,31.653783890112045,33.93094272012234,36.81373950395878,36.728976585737044,38.40009780831966,40.251270891215825,41.13590140067521,42.74941520482944,45.25558886585288,44.538222460647084,48.736389267423185,49.865253258535475,48.13112045127748,49.67518167981741,51.35599101912599,48.22379044710293,45.132594871756375,45.30801694671827,43.953294024393905,47.15487830988175,47.8041635972149,48.18722023377797,48.284771020988586,46.26177664046436,51.38333635999512,51.87914096636271,52.664380535488014,52.525517485877664,47.68108275378608,52.327324391927704,54.92488397983439,52.66848980726967,56.253468536222115,55.62575829759048,59.8701908032605,58.05277599129206,59.088813555904906,58.66433526586563,55.49663468866147,54.369869056916556,51.75712142538903,51.61499308893424,51.08443126455617,46.15815226141536,46.37458779546498,42.786411557777235,41.26173848024854,41.92122622079423,39.67539359529824,36.989664233882685,37.064615665291406,37.66651675608998,33.52126828073057,31.692466249329353,33.70221632216742,33.30023518630647,28.053284958240603,28.327956845355715,29.17848798105025,25.8444985346943,23.49838983424584,25.926205449915994,27.94786845912264,30.601935818181854,34.02687063935435,34.878502999320425,36.245083550658585,41.6348087879914,43.07584474414557,46.267669051293105,46.99450937630946,47.53136985464787,50.41532509743622,49.001379019936856,53.464113676306496,51.96144528122889,46.823574632813376,50.244228495156676,53.674147777351756,49.710483595852054,48.54341895918364,52.5774903190495,52.333560437823074,48.194140826196396,49.03615817270943,44.58795902456137,46.81729310505485,48.63714604705895,46.032382464940994,47.67254832909355,48.39200406019613,46.58220840356911,43.77251211393339,43.17959796166715,42.90153486151505,39.5379897960407,37.83974923370581,37.43715131970113,34.826966386421624,32.717858029123306,35.817608437827765,34.21408685168939,29.5226537502905,31.629470814865975,34.96704291617518,35.79391710255721,39.63478669125063,40.59912715660205,44.377536306729624,41.47066760048824,37.66936580990079,42.52846420282104,43.15088601965719,39.859394623994724,40.801757816033025,46.07743568894142,43.87504876065941,40.09984124140771,44.024436757035744,47.39910242216147,44.620920870594084,41.63570618247587,37.130533043810104,40.18208174637473,36.043760340260995,34.37484456822008,30.628158142028486,31.029557863994054,26.947481113079768,27.425055359822817,30.736931616356014,34.07685054458153,35.75839739605527,36.6477544331064,34.199046236887284,37.72837590999731,34.47803770035829,31.15894745928723,34.35428641358099,34.31958472706451,33.647188175421405,30.51011388128155,28.74235253994865,28.60345807082305,27.502343666384032,23.80639576241872,24.24919526985531,23.4789258218552,23.489242840042724,23.26984190375456,25.113341120685615],[19.903358128189144,22.797032993282446,27.552651917413414,27.070982795000656,32.696822520348135,29.177340136163558,32.241926635468715,34.09030757698141,32.209742497239986,35.30328167156173,36.08165920296129,37.39770389773034,40.3889968783522,38.23382053636764,41.97885009293708,44.30216024473182,44.61509480669561,48.683192046418114,51.392458324460556,54.41684236380352,57.902778897871464,62.180800987688315,62.30988065548848,61.708182856114306,58.97228273090954,54.98408467704969,53.35923767937311,49.284838770734744,49.24323945184187,48.00594490713054,49.39779846371926,48.672849649410665,50.6843815172388,54.97724306429514,54.089404149275104,53.470405606470706,52.540228399431655,54.64019069285236,55.0085104462062,60.951809834309046,59.04607747136865,58.7516475902107,63.25609055905936,62.954908419579844,65.15964681197403,64.14275548981765,68.06095171363157,66.89996590368519,62.310147737750775,65.74961531018035,68.46014000300893,67.74432897203172,69.9522227359522,64.69415566560428,68.26355864661264,71.94132552420766,68.29745845227677,66.38029028430569,71.1408155927502,72.21041558928619,67.67889452287294,67.92979965005242,65.1979767954518,67.07116719039844,65.68864759215985,61.84457231048882,58.28951896159232,54.74060966478536,52.00743762618649,48.65756938317045,48.06356939173978,49.232950186765365,51.1672379777624,55.50812150233043,54.67310559221468,60.76626488283195,60.5435910595742,62.45702192417259,62.29196239272826,64.28468403737762,62.01315360042645,62.45202403862103,60.354860469239846,60.99877677477518,58.31787814302964,56.605268412818894,58.565397429214165,57.83057368381496,57.82310517305697,59.049145199416614,56.554916467440215,58.41897702512864,54.37679963740928,51.638420710384636,47.387084326818425,46.071529363915175,42.37715528521858,45.1905298699167,42.66883795993797,42.42777073759314,46.93802854513215,45.86384633985741,49.57738958591174,47.832711047811756,52.22212588862001,47.54288263224995,49.42600819383675,48.69134404009312,44.23275397677966,44.1059956562039,39.716493660065446,41.68099875357548,38.03116774065292,40.245654173355824,40.172385829256676,41.32984454809235,44.3233269764613,45.52229589370303,48.933576008268844,46.391812899436275,43.43420261079368,40.4609808359262,39.37405910251069,37.59018614362361,35.18802387792412,38.39297641141114,36.027073519260504,40.23043163145384,42.29981782527319,47.0730261780548,46.51273532405437,50.34993331445396,52.19685320601639,52.67524277424596,49.63354533268009,45.953811653102704,43.71408160424198,43.58808250778553,42.78119358083804,45.61546106107396,47.35606591982335,51.89425902629293,50.58949972461735,48.38831588072399,51.42329013565905,49.012258672059815,46.160204182990235,44.36282767899518,43.43927198497495,39.4533746449148,39.5166032538485,36.69811474530154,39.2629891446762,35.5431279700271,38.11438177080716,41.111031051939065,41.24315326340613,42.78658333389483,44.85052337493855,45.56789548143547,47.268238604608456,49.9514210647875,49.182377535331895,53.39713790003344,54.3752075842862,52.55312659217867,53.93733837100042,55.494775556504266,52.21831450207903,49.283469921467415,49.48599823173649,48.328845055811236,51.591914381607786,52.29068091037392,52.74595495998612,52.780851536820435,50.88852962862566,55.91612142253558,56.46446579559611,57.12992866912655,56.99139015503544,52.004170761355454,56.55339008359508,59.12732850042529,56.97121249999873,60.72757593036414,60.24942640428311,64.43868191353799,62.595834523870124,63.50173866264335,62.940418701878045,59.802146488849374,58.47146740969248,55.751112131337514,55.46032366361191,54.696489171624805,49.77580439447298,49.792843088357564,46.012846915913705,44.656296302383645,44.8843796615995,42.77047696224583,40.31666778905347,39.970034892488414,40.29801248916346,36.4148649122056,34.563818508241916,36.07928700606769,35.57735953165693,30.64971049265157,30.527108741961992,30.944259705757432,27.97113960788567,25.683401423390467,27.341088287503766,29.63491183124652,31.667236495971366,35.39702131836401,36.54159542394847,37.543433465747086,42.88958192323409,43.839404900630186,47.338261953188,48.39958182757811,49.324841591473906,52.38181811567226,51.36890423640613,55.77354121572511,54.007665555115246,49.210605620731364,52.85112094897164,56.06626571079383,52.079939848084535,51.24527484206663,55.40464483029586,54.85233838910888,50.749968720945596,52.1122011269045,47.504403648421665,50.04056847189652,51.640663207002724,48.80338593673276,50.572783111637385,50.99169996094074,49.56113279321069,46.773161096515594,45.69988970330445,45.56859896058666,42.53761079233018,40.496696603477936,39.807884259530226,37.32605456165687,35.19708886108956,37.77078414443745,36.03115967054975,31.529980712856535,33.282534834453344,36.300404754504086,37.327911869561966,41.3159915607218,42.72735416629677,46.308698548561054,43.01409857594637,39.67896520731815,44.68692017554938,44.91341441659384,41.62735024892858,43.07229909951544,48.033486904405926,45.498731619455185,42.11847040492003,46.32785937745656,49.28084465837901,46.27979523126799,43.54980832872833,39.21804232910592,41.8641551170054,37.80350511155874,35.76868624199429,32.5818172275427,33.27503746836889,29.589972341771123,29.967941055263218,33.4170285165294,36.563565824800115,38.579061260600845,39.43802941079612,37.528406948877794,41.18407226689822,38.29448396899983,34.68764482703702,37.91143556359832,37.546264586350055,37.18685728720297,34.225245415156095,31.93736194880952,31.788408574187244,31.347147485447532,27.38497973975388,27.19247737420008,26.49370613238174,26.378340087645434,25.9593758859189,27.56445745557503],[16.218564784099396,19.15747890450121,23.952821199104477,24.471261934422074,29.95506983344134,26.82568936089281,30.3565159832079,32.161295117591635,31.06631463223675,34.57479545212212,35.744928050657236,36.7445945671434,39.632778261911,38.05624394692509,41.94237885362115,43.908616463302884,44.195446902543374,48.531340181422344,51.474340321305164,54.11252369549052,57.785692858767824,61.88619827941298,62.10304728535146,61.544141225941495,58.53022737177447,54.76262062865615,52.75932324228838,48.69116718163926,48.64551569597295,47.18523850534581,49.2617717166768,47.91926388588462,50.161132995998635,54.600001106382166,53.41213222179262,52.889918089012156,51.46904600136622,53.72045147850413,53.93114473236576,59.599808891699865,57.92830478768792,58.11346699620275,62.51208167408603,62.18856346011209,64.62826650776383,63.562111460866305,67.36251858068718,66.03570120759416,61.28759037134731,64.47378426348745,67.14028127068416,66.14422891672683,68.49677894922273,63.331751731302845,66.7867829976044,70.7308837488705,67.36536736950897,65.39307285387056,70.14253220908324,71.45158640447181,67.15556432217458,67.60007202569312,64.927370615681,67.13672472740666,65.56973803429898,61.534501898058004,58.455353901084216,54.826958562154175,52.47141717191152,49.19176615362303,48.84535980877932,50.43395562298134,52.04372675070987,56.23517417859726,55.033930629869886,61.12172039518425,60.45504073962727,62.29853661917963,61.79727276565132,63.535253644305655,60.89808474063658,61.05913321085671,58.619542630111084,59.09228825658374,56.66952378534408,55.16167859241368,57.5376579527988,56.71083876769308,57.23230377878355,58.57321408962068,56.43999515830141,58.681317953756,54.646563714919424,51.72875096180509,47.39141779434869,46.43068861267007,42.6393769400646,44.81994515560186,41.95768108280938,41.26512299802793,45.71269247363606,43.931436109736026,47.80819496985305,45.47657057458602,49.600697227013576,44.78572958640538,46.225114450434276,45.37662970329345,40.848113715158604,40.953044885905335,36.77562582456076,39.29311142752778,36.07854369782267,38.57353356674973,39.16859314989503,40.45245428104257,43.76089185743818,45.087370523741484,48.97267284175345,46.351129430120444,43.536628623930284,40.345546208634794,39.05273363003306,36.8450741001072,34.025928606737544,36.671535416159465,33.63387615772763,37.74104407488867,39.399785506726914,44.17889731537586,43.346677743158914,46.96896036054257,49.13982334677226,49.707484861149126,46.9343423749202,43.56948565735988,41.101845756371205,41.588920872559946,41.275119657001035,44.24091914320269,46.47788596042667,51.12127838872642,49.914050483232124,47.42267872271521,50.32492016443621,47.94797257149707,44.99278311865585,43.02799670041613,41.686267274207665,37.784881536565635,37.3101870925126,34.85717989549663,37.06483134805011,33.606106974278084,36.6971070073571,39.46764162304397,39.77927365303239,40.801685645351505,43.2866164529498,43.39774336445933,45.246721060510914,48.42328040216956,47.64798213355805,51.81352387163627,52.532382861473145,50.82788910033703,51.732770668833815,53.31130586323272,49.797833067974835,47.16312687194252,47.16914003952712,46.321999378310196,49.481081056128204,50.178357174686646,50.7775875049373,50.68265810708716,49.22191809064083,54.01390425995462,54.569661468888604,54.92110028296916,54.790341032656926,49.48839649439291,53.839633524676294,56.401346256449436,54.49336716399963,58.59956307452508,58.519745149496515,62.62753710526669,60.98969785708391,61.464949552946,60.7230140316426,57.50656091186293,55.85599960856,52.94438785983101,52.37041008805853,51.29677143612203,46.42059436830916,46.09311977828795,42.14361940596237,40.853464506221144,40.63319336082234,38.62333446915219,36.45486515823343,35.76339443350411,35.78853668257077,32.16670238605989,30.462935673227108,31.49688214095387,30.859853447495553,26.270928300378255,25.925517642183905,26.01139771062355,23.301233213271463,21.185155580146237,22.414496263793367,24.912250143556065,26.498994326625088,30.59474738509949,31.644504113691106,32.38775715847104,37.69305434509566,38.44689798284678,42.01802957745158,43.139194815065885,44.223079231088725,47.33810266759581,46.56472725899468,50.91390398996464,49.031035345750205,44.48531960762277,48.235940332220814,51.34851882050803,47.431551123816526,46.81765418822232,51.060762291206714,50.416378328395275,46.40799295776821,48.13189449429521,43.332818585404674,46.0011822368012,47.35090911829251,44.31529515242339,46.189267447329364,46.41501359394823,45.32889303802888,42.51560961692663,41.0904953852876,41.182944715602495,38.403700220249846,36.02876085524808,35.2505893420937,32.959340335532254,30.69783151479498,32.91310369085796,31.246863341908764,26.89047683055178,28.283942143949417,31.145352979109795,32.189998825473666,36.213614278423755,37.845265504695064,41.2775894400011,37.82404836800316,34.76124927091823,39.8147109376477,39.86607444644823,36.64397783661119,38.39574385853546,43.139398743299765,40.570420277462766,37.4927005902274,41.8146995804383,44.54661599793277,41.610027584613384,39.09744231866379,34.96032424906849,37.61998091286282,33.81935987724578,31.336565802205477,28.479450934841463,28.973243383570715,25.570824963276436,26.308439547056096,29.72701553337602,32.838023101839156,34.90691148000994,35.412584370722804,33.94955775187181,37.57988887105807,35.18923983781975,31.179973798772572,34.34418584419686,33.645104645920235,33.7567142314145,30.944455396746342,28.10261527065747,28.119245952625853,28.438324173543425,24.070182668429972,23.306888109221372,22.9727248667758,22.901170019038627,22.49701710959765,23.860990764069534],[18.555549114672207,21.056367922047038,25.719676177132406,25.640442659964236,31.37306699839344,28.928391866422928,32.4028858583159,34.707735141177544,33.506174887363,36.6561802390685,38.010082700628324,39.43527245413059,41.88309606341487,39.96847367864579,44.12731054510603,46.186581883211396,46.06259142760875,50.33397661380719,52.87769617897422,55.72384106408949,59.21461913038742,63.38941759304663,63.3618270270034,62.532176475473044,59.677548938041966,55.90361708701941,54.10374942087079,50.17429718326327,50.49861334656351,49.39728043082181,51.55299241308879,50.52761500324395,52.96303437115014,57.26352019771992,55.9354051573702,55.09593007392774,53.85122962798892,55.64311763943565,55.64374270643188,61.35276302107016,59.38368683401093,59.614767140384146,64.03284756802151,63.441605324087284,65.63823066030128,64.31849869770019,68.14192876073236,67.14172631801182,62.280784292220844,65.37101225990837,68.34729849359151,67.50352690193651,70.01290143795171,64.87182121302091,68.64448426029108,72.4263448683733,68.92970103349973,67.26759925337916,72.08467845058938,73.09011232542258,68.84428942853593,69.50754041375959,67.00470654512452,68.94082181653881,67.22498007839395,63.347733101411556,60.048888466612205,56.62911936676775,53.96520047022748,50.90322024355386,50.287243241096824,51.78550415337233,53.74028634273451,57.841372390032845,56.99912031032629,63.23626660641379,62.549097060405984,64.66588198572222,64.1135367918514,65.7384832002023,63.262976067269165,63.23114398777959,60.98723904233398,61.201466123136726,58.5619009595934,57.28045705950219,59.58511112858718,59.12754198674056,59.401356291727424,61.094948826278085,58.787462300680254,61.0528528558448,57.07637342298374,54.33845401958366,49.900714901626735,48.99733097867189,45.07969824742869,47.62283292136225,44.85313692295253,44.5687871923336,48.69581300141755,47.0440041546077,50.61980211924638,48.27176279948049,52.13488091771179,47.21752301454231,48.686080903442836,47.51091594834897,42.96889318272048,43.39719726357163,39.05152597581554,41.38354216921826,38.16757592840346,40.26342074621181,40.86050364972447,41.740367180992635,45.09169890744693,45.99405434242327,49.9981322088104,47.75436265862198,44.739488505284626,41.70181692800823,40.01269391429746,38.03526714862713,35.48965853108751,38.00486932002043,35.45923424034854,39.416372556837906,41.15304279227865,46.08582014476098,44.83458618914146,48.63624724746065,50.57629937654165,51.539679921904835,48.34988594583183,44.98351902453516,42.111506390767424,42.53497095270031,42.01914565275163,45.19934620869777,46.98616754734071,51.72427948640318,50.85300037911699,48.521969763710466,51.656582197034204,49.59309679591634,46.566038416443114,44.98170865168078,43.839001658556825,40.12354657160092,39.984739157484526,37.8116802185958,40.37752165291718,37.21954925536843,40.1292510317266,42.700812142524676,42.667560070601894,43.65488108538561,45.87767512292825,45.82736306929682,47.19232375617555,50.3499533008073,49.07813572253846,53.39851229006492,53.823899931305256,51.649173135402144,52.6649670401559,53.88578317102305,50.36417196261515,47.76561611800876,48.081685812858005,47.4047011112982,50.93091774434561,51.94054947437878,52.79580668419121,53.02448036058532,51.61873434884146,56.58397040818337,56.79067337798513,57.21107003154957,56.67920054865386,51.5730205216913,55.692258171953235,58.05401565180393,56.01265995961721,60.126990491665744,60.03531708799951,64.05406082996775,61.99002000239472,62.53761501620489,61.61100216145476,58.634152893320916,56.87028267842824,54.011521910364245,53.52890554348635,52.418778095340585,47.55640395842629,47.450916996147924,43.472326053169866,42.62030328990073,42.442488004564694,40.837056525985545,38.468820336399354,37.390596912555054,37.785719961305574,34.35253550925473,31.916814632248876,33.12369037441189,33.18202084850156,28.307553504995347,27.53065964974453,27.937624062854983,25.691174761316017,22.89361553035299,23.750820033518526,25.900624278324216,27.886292691239657,31.092110837948294,32.733531102412805,33.740198298708286,38.95070491596014,39.73270005286864,43.36283576071268,44.95825197457299,46.058410729267955,49.35418639085661,48.74903957693561,52.8931817511419,50.727337671185296,46.168346030739066,50.05040785511892,52.81657517314936,48.67635744584297,48.19919272079612,52.44236482394254,51.3401527331292,47.251882223713686,49.21139771328333,44.59627701533606,47.77999262931734,49.264941866716796,46.47680734394442,48.67728086961035,49.167186763192575,48.19228178452684,45.05521209020774,43.819782353045966,44.26956992757849,41.32892763643558,38.71442905629887,38.321774837337145,36.18534083354458,33.54459841246846,35.76738757096041,34.437805223641206,30.044082012475037,30.94834087887065,33.826737894701765,34.52751204710418,38.649366668288614,40.28654989422839,43.50986728477414,39.843693438888316,36.66773912536457,41.69397822727261,41.412194509641125,38.03946298460562,39.751505099963794,44.389935325080984,41.41657987507393,38.2696825222974,42.69534440642971,45.22005592573721,41.92118822339539,39.35973460856886,35.1924302415827,37.3299354216912,33.329772322557595,31.176918210316458,28.484729868531616,29.68774253733095,26.59471331121164,26.519462953776745,30.035084874093762,32.836887920257034,35.24736334469591,36.29099840556276,35.152900352955896,39.06322062215999,36.75368674709462,33.093985955516466,36.78731300890816,36.331150332251724,36.72786606355966,33.48501978063691,30.72451211145106,31.262453329745668,31.333539728078353,26.63811094489907,26.282368941051374,26.393737726721465,26.52256072245239,26.227898951286434,27.580031773275117],[18.4452891359796,20.583718891592206,25.034220623144083,25.084170732441244,30.79292752422809,29.014738885401343,32.615404227465746,35.18090826889267,34.304138551776006,37.39485580523654,39.03889920172468,40.56183601444575,42.66300078337767,40.840102358874525,45.19991272907975,47.12828880918102,46.73836979707763,51.078729620695434,53.4851955363975,56.24801227686478,59.70759453388066,63.82041091852254,63.69296087274435,62.725157864215305,59.836487777567136,56.186706698440666,54.32745576084271,50.50485177535561,51.05058490148122,50.0654311833453,52.5991616072368,51.472251332907256,54.13208833091826,58.39678014757053,56.83574689858314,55.8491962199923,54.479866842783224,56.05051020621179,55.8443821724375,61.41598080888694,59.387094368442725,59.88710153740138,64.24763937063243,63.48483221580425,65.64408777828214,64.15585305426174,67.92294730901749,67.03746418275767,62.04791183936266,64.95030745384871,68.07625592307757,67.19377974153018,69.85802761807123,64.7927375394323,68.69539339376645,72.49436830062534,69.06183007650587,67.56891304928904,72.40719138080925,73.34014950613646,69.2533802338117,70.14600486754692,67.78706385155087,69.71833511626423,67.82301302954758,63.9598605423227,60.780908254950745,57.46214013182235,54.81571588117262,51.93473088508221,51.28397329782856,52.938188500340566,54.92769522076897,58.876857182693044,58.06882262049325,64.37188827516955,63.44964399653645,65.6937239683499,64.94184592321736,66.36298619871407,63.81791773530706,63.528208675164116,61.24960307342827,61.218978346374215,58.57799330765965,57.5437421677776,59.99896785361872,59.72889027962761,60.10822571075203,62.07410035988534,59.848073789005554,62.30981079514252,58.39066990447495,55.68599863813237,51.162235579187,50.478668492488616,46.45421804025498,48.89689690202493,46.036523534331266,45.80272886708755,49.660462010598096,47.76483439130845,51.19902802230432,48.57654406040381,52.12175453294316,47.10498657255452,48.37293620687076,46.93915135950243,42.38973016756423,43.13391341665492,38.8212271912537,41.275683538647336,38.29951699904362,40.261593701583394,41.18329342261379,41.87186731121497,45.37888320235918,46.08454077661957,50.37075907355711,48.32845405659073,45.28665770079966,42.254846473620674,40.2400414830286,38.20999311296463,35.65369881786797,37.78314983186328,35.24729172775798,39.01670813026231,40.58574416186684,45.579260471007274,43.94315331629066,47.73034753383918,49.66839391021953,50.91601070821734,47.61427306107076,44.420897212061625,41.21072287984117,41.894814607680274,41.50903605975563,44.85540141098158,46.609364754555266,51.429074858952625,50.81034095856781,48.44446642404615,51.636550554152734,49.79080576528732,46.68901278229088,45.26784981598305,44.054136422186964,40.531431487308375,40.34897685908558,38.55517370976435,41.158230128937795,38.35794415223033,41.356550808240264,43.66842646824032,43.49794962435304,44.208095488604634,46.4467217391152,46.00204433777117,47.125203785288,50.48873874394037,48.91560349583386,53.279405281232684,53.38887110164345,51.002435782071224,51.84629530039254,52.85556358164129,49.23038546275664,46.81710012537301,47.22241929713339,46.80584730060191,50.48492073377763,51.68201078983773,52.761332216152695,53.13007467587831,51.97635008177186,56.91028328083139,56.89811540606355,57.207093083145885,56.42719853332008,51.324132083965495,55.180362160620334,57.39963122640718,55.40504916943311,59.676246836992576,59.77334428887447,63.67415523948217,61.46400559938649,61.84557384532493,60.72403680331763,57.86504316243949,55.88365504392612,52.977491856909,52.418634456641556,51.14725477312026,46.33869432472021,46.20984778908805,42.160764316943,41.62414176325309,41.27146057152146,39.990894586185924,37.64174389064718,36.16671590758734,36.665824982091884,33.51256741236435,30.695060492415713,31.78204171911871,32.248777365921796,27.408642220649103,26.258000468689644,26.736463151214807,24.966159166275258,21.85028703239154,22.241784821876614,24.19173572083998,26.231858797864525,28.957082601946286,30.91729330068898,31.988081718280718,37.073677338385885,37.837419964131676,41.48078785831792,43.374367910533685,44.528356065298084,47.94620653936227,47.54714393599326,51.51388097310145,49.131608582372344,44.68477044283552,48.67655632661772,51.16692098761209,46.92979082245666,46.63691629299579,50.89123884626566,49.4703350882018,45.39895473774475,47.65027036400671,43.09985419163006,46.65069422577673,48.10017794754303,45.40675509753787,47.853262669061166,48.43680526502581,47.68419516990937,44.34257454706693,43.09806638854403,43.88222844288614,40.95795234841901,38.066150867402456,37.91044893906406,35.985301481597716,33.05927994523803,35.11692662328474,34.08182367100237,29.784211026125732,30.18464826674939,32.984791020447,33.43082806297804,37.58796135921975,39.28958597320474,42.29062722255996,38.45838124901584,35.33182299879307,40.311055960280314,39.74812681461586,36.329574885197324,38.124291627807196,42.57542232642266,39.35975282251203,36.31188349031957,40.81855996697371,43.11753111258093,39.64217671032042,37.155165320332785,33.08595972889598,34.89905833056025,30.918611623623946,28.786783485958075,26.376678840481656,27.925782804075435,25.21924354991057,24.790560160252618,28.300620156507808,30.853428675961446,33.480465994200046,34.68375592390434,33.972832128861235,38.00906360501357,36.009808633017485,32.442212011902,36.39584657692931,35.95306606432068,36.739687991874945,33.33046699446332,30.420499787517464,31.361617114269166,31.60789573811407,26.627518079716292,26.280107267576696,26.85206515559262,27.179565883314773,26.98633111335953,28.22784073104625],[18.318290943406137,20.042515752106574,24.268159657812447,23.629753222744483,29.432839990515117,27.997985191648514,31.429898626639797,34.31618793577249,33.3063401821681,36.079614937107344,37.8421309933813,39.670937607760976,41.412316030273686,39.36923128144451,43.889611323132996,45.857760157751024,45.17644295026881,49.4451047095532,51.58759771997027,54.45380881200268,57.78129799672765,61.92831495523242,61.644142570365005,60.53194304656319,57.747534919695575,54.11143411208948,52.387217034272545,48.67205047778735,49.44992443632765,48.72315823236888,51.304206981611294,50.41754129926163,53.221917005857705,57.34966631106376,55.6801915302756,54.4602381158649,53.24207516151082,54.479012976127486,54.149887434456396,59.7503608234299,57.53273327721439,58.02010248448391,62.375751563043394,61.470803804372046,63.48523952828191,61.88378869723218,65.65792203168797,64.93743001806247,59.9226113381726,62.79474105572695,66.06465799632741,65.29315179090314,68.01651823830193,62.97241910237289,67.051409114745,70.72287236569758,67.20227793414892,65.90995320948981,70.77401126884855,71.5090533526874,67.4557453457391,68.48306127150973,66.25078547698617,68.00007665023357,66.00817605213295,62.25982430612742,58.96439588455934,55.79652329887414,52.985731564257634,50.27561590245256,49.47319601926634,51.11614922644003,53.27802485324374,57.12056592344464,56.53171531902779,62.91083526966771,61.94952189766107,64.38399139333113,63.590071226097955,64.9276061636945,62.52115881074129,62.11480361998091,60.02080119303866,59.83281563982415,57.04945933547366,56.134389757130194,58.496385855128885,58.491309941221424,58.67143462077485,60.89159867306112,58.55163308964507,61.047978429873645,57.19837195226215,54.640619775595695,50.05787330094003,49.46518388149096,45.359182798534164,48.03075094086694,45.25905488143096,45.397729487651695,48.939248505018334,47.228939344911524,50.37159523614146,47.84647993833722,51.229244528540804,46.21650262811052,47.62859617633311,46.044215805504685,41.54648713054427,42.40559360264537,37.94157154064851,40.10865818709943,37.080560640334,38.7207455221011,39.56838761659841,39.99661481665857,43.485583003667415,43.94090489017022,48.25846424121489,46.460074683562404,43.32302255466923,40.40288466959645,38.167275039071725,36.30437442118483,33.971910994557014,36.06389765934035,33.98552047833333,37.64154863485519,39.364068057775654,44.401112158972474,42.63643324421592,46.584260993864284,48.260220722934264,49.68253829060135,46.08712187949251,42.830233677809574,39.499405958919844,39.985707444160816,39.40570250473219,42.82809292257243,44.29019613089668,49.12274694581302,48.673778640338554,46.42972867443879,49.73359914148616,48.088976942705976,44.96986756557204,43.81294004201227,42.79252032157296,39.42014317180338,39.560094626504025,37.950032245804785,40.89428705976789,38.37644796555601,41.118828654715436,43.23740178343278,42.755631124060244,43.48957763877139,45.45243559697252,44.97925632619015,45.745602107634625,49.00327438670516,47.141157417624974,51.581637923718766,51.58030448071619,48.93867066376017,49.92787031919621,50.77231878212601,47.225039396939025,44.7559946926215,45.349434930830775,44.94178372507067,48.815922014948626,50.183643354846865,51.38694323048178,51.991072276233744,50.814825864104535,55.8838337970064,55.627205992193566,56.03922143858907,55.008182501246445,50.1155763839368,53.86497420715017,55.96320798242379,53.83210071112184,58.00568978951853,58.016374337176295,61.89888404430657,59.4423452067264,59.9203902319155,58.760293879641985,56.02859676756309,54.094202258663735,51.28960617141249,50.87477366040132,49.719264070375154,44.93064051878637,45.06819727992999,41.11885382004318,40.769408907227415,40.70607594937776,39.59716142858253,36.988864442012094,35.5259923698034,36.431232985660564,33.23577918433236,29.97024381042739,31.48924660741719,32.44483188155622,27.237125676547297,26.08068878093655,27.054111297640414,25.312491700549828,21.750392776752943,22.467092502526434,23.9828174004803,26.735368991490596,28.634870982409556,30.77487028139892,32.27279195234021,37.3164817218199,38.41840343812541,41.88846999748801,43.847335642666074,44.7385633628704,48.1392085360664,47.57708986618841,51.45306943674802,49.07481298578181,44.40036201568692,48.3243229368643,50.736445351055316,46.3809883759377,45.95672566823302,50.1292090216805,48.61847990857279,44.467009034998426,46.539698508050854,42.21171736092188,45.89662909465802,47.55921114450407,45.1660432420067,47.72365276827428,48.6558111038623,47.72942662875199,44.183739225748134,43.35340721316075,44.24766003904794,41.03419186186547,38.2209759545432,38.45982884530957,36.54071369378228,33.42461134200701,35.81759496263825,35.04318548759952,30.609615570893894,30.98986222311256,34.003724508025655,34.12966680799661,38.23298604910268,39.6394324042733,42.64361131149502,38.95662196501076,35.453597270604114,40.30593461633541,39.8078668055859,36.29960525035231,37.72110711013463,42.30922766602736,39.06715951719903,35.704068510445616,40.07617789083264,42.528199897422226,38.96864241346995,36.267192204523646,32.05356690171691,33.78944519769859,29.598351694309002,27.982205538191174,25.273704157948615,27.119758504630223,24.367417652517023,23.43009465512931,26.91769058054176,29.382178617099033,32.04061241596546,33.631257227295926,32.8031460772331,36.93433203865405,34.79560092886607,31.623448416687996,35.874202830428445,35.78083968156856,36.569262724647444,32.806751468622494,30.24686465784016,31.51823870891358,31.258207975400026,26.205500397915475,26.48037146803634,27.288212613752968,27.69303145116466,27.609997558461757,28.915552429120538],[17.255365822369328,18.374498052224727,22.210762977291687,21.63520086906491,27.307514555142888,26.720652288061228,30.242834925791332,33.423099637442185,32.839632486613866,35.517385507417785,37.63858054604173,39.549132667666136,40.83406846228912,38.97438148762058,43.70089543283201,45.46179336244742,44.4719745312536,48.815292358394565,50.82365934626998,53.530361963556835,56.830270454788334,60.86588504031849,60.49280661556368,59.25525162393747,56.40290030087717,52.947311369747574,51.11502905273736,47.534829422665844,48.55379050279173,47.949096104924585,51.01230450260582,49.968837217949876,53.04494733322204,57.11061426209362,55.14923996509373,53.76771953567085,52.37806771466194,53.35843350589756,52.79189527568322,58.19888826189826,55.933950396066024,56.766346040573026,61.030901239358165,59.954026415201554,61.95301453272654,60.19044022435663,63.88459467379598,63.25372841292502,58.114373771337725,60.77167842170307,64.16521780156648,63.33317795270405,66.21520643166171,61.26553448881369,65.4676342895828,69.16087596423344,65.74372497620719,64.62437474459871,69.4993239932665,70.17688230528995,66.322428891824,67.61613969309585,65.55663683828926,67.33207003702584,65.13115695899847,61.3901259283389,58.30503558770173,55.25385195242341,52.53463773298844,50.0522484813174,49.25834755017272,51.13233904172743,53.26064864510902,56.89015558602798,56.287912658382375,62.71196831262625,61.4304486440822,63.99562934790829,62.94185932965098,64.0164171734939,61.5224870693159,60.80726711839263,58.67767506906772,58.20984353549861,55.442308931052565,54.812878816632,57.3587812891021,57.5663945914716,57.90054572971401,60.43919490656288,58.23569082247042,60.987591482000006,57.22704436294998,54.71132346511722,50.045885467040534,49.75646220087625,45.542165664265646,48.028351881259425,45.154129239605815,45.36417407040258,48.521817282802715,46.531704189809176,49.46192491873225,46.63199965760939,49.62014888123298,44.5190904369083,45.727036340263574,43.85861888839345,39.38403395402495,40.582676073706494,36.17185158624849,38.43412089177633,35.72189446613315,37.19157015026217,38.4509030689491,38.67308261457004,42.345479445357704,42.60704982574294,47.263857686908416,45.67923292177267,42.56104990035865,39.641002266214166,37.042939470880704,35.08175486062694,32.72163740839812,34.29552892071749,32.23672643983575,35.64267453080369,37.18141628565263,42.265117524395,40.09062935794231,44.01777511856945,45.66531574100019,47.39061017593556,43.678402421956235,40.62665576101298,36.944275206440786,37.73624090877103,37.34561179897354,40.92352281706245,42.40990642998464,47.311253620699816,47.12895130358592,44.82581270935599,48.15815938123056,46.75945281045649,43.56977224816339,42.595564053115815,41.483959780279356,38.37570605773833,38.4712754197627,37.35394780931011,40.351034896237515,38.3402785317366,41.13110120500176,42.88461516305427,42.21575804651382,42.600141815259995,44.557795818079214,43.6133663180201,44.08342505066061,47.571454106829336,45.38438222976664,49.844158773594515,49.47381151064723,46.65205358145619,47.42935094185203,48.07154077665888,44.41678125186137,42.15591757738942,42.82122216058312,42.702283616911885,46.71304032653903,48.27961866598664,49.73078244470068,50.496476659008664,49.62608364783475,54.6317650961845,54.11394824215157,54.39721748809103,53.08245506867492,48.22460126301921,51.66336933431461,53.59985556856396,51.526494580854944,55.85619348059971,56.09110740081662,59.81391269673677,57.23899031486535,57.52548460865293,56.17858781676718,53.55756254896569,51.4045696971312,48.55208825285825,48.06605210843829,46.77037952228483,42.04290727618857,42.186465892666064,38.20004972221098,38.19114447178876,38.0214047667999,37.27268869844099,34.637742983775986,32.794401861641134,33.910656470517516,30.994060601491924,27.24587263037157,28.770607688748868,30.284292045928822,25.029256561270586,23.512468414852783,24.753859548834626,23.514883997382835,19.515462073804756,19.907498920262118,21.01333404095849,24.14479823012008,25.265745711575093,27.71041468181188,29.447246693412854,34.35466854882926,35.6625505468884,38.99309757710709,41.17859976148723,41.99785175373816,45.47794276791923,45.02478974506498,48.71127892474056,46.16605888523509,41.51362690015866,45.4988096385933,47.65534527327016,43.19888625095732,42.88533157368247,47.046192192079886,45.26547109166719,41.10084247364324,43.3847624053808,39.14651262880525,43.18482425334043,44.86480025304199,42.646940635332214,45.45599560263719,46.58330747784832,45.82108135051239,42.033464399595545,41.33485260698161,42.581780446785885,39.31594794418392,36.27099554306629,36.884785186447495,35.194211701257025,31.753648519471003,34.10037590722055,33.72667450387601,29.38593535620623,29.268243234418943,32.28330032010558,32.02603812022171,36.101068999464026,37.426856318441594,40.22313400870328,36.480720355608476,32.87293521283429,37.61461980158206,36.91681226612686,33.345744697755954,34.69046872124427,39.1737103711769,35.75341742576394,32.34554457661223,36.74032813228925,39.06817876489409,35.37187200602626,32.64982403407402,28.46382550952787,29.983996606995884,25.748734271677137,24.26473139540789,21.648556007292544,23.868737649246626,21.48139687341938,20.075414909018022,23.56428358500424,25.80502695062285,28.659007859427913,30.453603219120797,30.015135312299797,34.27752747946687,32.454850992792736,29.442141731490047,34.01356158719881,34.01875888782525,35.23049652962917,31.236023558506044,28.613096321879066,30.412528346928834,30.24580180795345,24.91811821189528,25.361573366510033,26.75499246264677,27.37790335059802,27.453392628516625,28.6583195655082],[16.422447290976404,16.91366298229982,20.285521278994167,19.19570402709926,24.78859797226125,24.774965462531554,28.160502945603408,31.63185555937921,31.159395182745264,33.5739702013503,35.91531074999714,38.019800662591756,38.87158238146797,37.00024317173148,41.87499288940846,43.54183801152102,42.26123814214615,46.581991857860004,48.39863222117063,51.06477095235632,54.28519765915997,58.27284698127531,57.79802613211035,56.45269314740639,53.6160691271937,50.25471986321901,48.43684726512925,44.97740531272373,46.211992414730375,45.800704418961544,49.09884165291171,48.115706815531055,51.38293724668359,55.323486407544095,53.17715929149777,51.60375586675818,50.22694547217739,50.9137899579401,50.18883586696953,55.51974234715919,53.14631470182512,54.11134325827636,58.32561633645628,57.11802228742743,59.04734807619381,57.181839307086385,60.843461316148066,60.312589791225946,55.12431875302489,57.69513164357988,61.186788241413275,60.392513242059486,63.34977154763416,58.45010143398112,62.781719347846774,66.40778085222195,62.991969466488754,62.03942137655835,66.92209101687077,67.47770669272671,63.72763441875152,65.19731936156644,63.27999986220274,64.98061941375359,62.64530005604658,58.968018966521115,55.940031102903646,53.021640677299786,50.29066761793842,48.00853982152415,47.162611403562444,49.15518274151253,51.318466617592364,54.77525337779681,54.25943459826844,60.717014380755955,59.26454197037806,61.97611212988767,60.784112253467036,61.69785470167696,59.24971658528363,58.351795014918586,56.32237697387784,55.667730416992775,52.823394153261354,52.370465135037904,54.92969884854292,55.36885959144665,55.6612126587617,58.4672864954915,56.27832994991701,59.163206883780596,55.49652260361118,53.08818733257034,48.37544004718891,48.29237506409852,44.0058381026237,46.50440703551941,43.65311997307048,44.12449085896011,46.889151040474424,44.91604810885934,47.55247404677496,44.691966919122486,47.422241531345215,42.32103187852522,43.56967299368698,41.5190464121733,37.11685345654548,38.48948820877943,34.020022313531136,36.094194414201326,33.485658076827036,34.67949067805818,36.06247890080092,36.0576847176719,39.783018742321225,39.84629949771606,44.658855485689344,43.281897514765845,40.1497273867524,37.295466476673006,34.44254016042735,32.52260332974365,30.284244512671368,31.60825798696395,29.859094345077054,33.07494939491683,34.64838622260818,39.74745739875863,37.39461612070179,41.415167209214786,42.87026347775681,44.77498231078282,40.85287913597641,37.82649467933512,33.98797163107764,34.74806913091784,34.32562708939401,37.981806407498425,39.34819280324323,44.27041668874086,44.26209850434556,41.99356832875957,45.38102086573606,44.18581042600961,40.973363549871756,40.22450849717178,39.196582492897384,36.31232924088467,36.60077129905664,35.818880874055274,39.036104646053126,37.45788068478964,40.06244671222928,41.509012211513785,40.56368294969817,40.81839451182506,42.58218580467005,41.44258470849805,41.57755538829714,45.07145183183125,42.61085806654874,47.10205175155092,46.544144200189834,43.546407669824745,44.339770724297715,44.849871121141824,41.21602316697692,38.97431107962275,39.7565176271268,39.72408877663157,43.87490805839008,45.600775060822905,47.20433035819999,48.168613209637726,47.40149862389992,52.4431877647087,51.68261438561796,51.98471132153709,50.427410269721264,45.73184353670271,49.001180737380544,50.814889930251596,48.67745165003612,52.985097855188286,53.24202134351435,56.887548841739445,54.15950080487584,54.44648036313869,53.036510915485884,50.513390114673996,48.34116635169607,45.54246413659255,45.138500826890066,43.90867141794506,39.20791583252303,39.54652054622111,35.65598958853403,35.83742307586888,35.90259195503177,35.35848576188659,32.52234302883712,30.653158309850856,32.152791573086255,29.274790742214588,25.101820487932372,27.01545166973797,29.03640876081238,23.534463239755496,22.00066386327205,23.746840678392356,22.6425267583013,18.280564942836826,18.969191022567603,19.536484998048245,23.377362885850943,23.64241870257148,26.158844607709923,28.325622745614705,33.13706765848523,34.871023507003066,37.922715683633825,40.07625592086813,40.60912099322993,44.03989955150308,43.42145289178377,47.0015925187333,44.48959165890064,39.63137495643315,43.52686761570387,45.61429378424377,41.074648523662,40.626906295865204,44.694336901186944,42.870646819236505,38.65396082947033,40.750330198832664,36.72023605983843,40.87017582851514,42.72839633321351,40.80658410541874,43.723818282851774,45.17762437540954,44.29294177774629,40.31869088947332,40.01789073472673,41.409510020164255,37.911909951093214,34.92516198318824,35.960573842940164,34.34733134744597,30.720569225275106,33.33585845507934,33.28518749087764,28.920832845472802,28.697874404445248,31.87581060431824,31.26408911106624,35.21899982874779,36.22097791664085,38.98593063338011,35.444181463266105,31.479814689901538,36.03714055554271,35.43476461751387,31.812204955222224,32.7519674650751,37.36250029801194,33.99885882386191,30.271645853774025,34.49205422694678,37.00752701876131,33.314752944516215,30.37401933459458,26.05216122020338,27.622625622857594,23.21705965571976,22.24137665495302,19.241811678706316,21.676690431588344,19.301649597350192,17.388565629951845,20.81658056729469,22.984049890696646,25.824432850519756,27.938356172023123,27.43551289834279,31.7660053382356,29.917679004717623,27.29663582196191,32.134135297136446,32.44768250992194,33.75621504379177,29.47300514641084,27.16643492467823,29.34337836484055,28.817700495638228,23.47597518841069,24.454145823666387,26.187409335676037,26.99890515992636,27.262586147033076,28.50419320767748],[18.26675951674089,18.208636865910506,21.002815099826854,19.40982214799502,24.773922772586637,25.475674260359078,28.650719536498016,32.40736035649932,31.9970232059801,34.063440763698125,36.57888503776722,38.91706682565684,39.31646730463584,37.34789348152542,42.354656652713494,43.96719902305547,42.344977590210526,46.57766036852279,48.080295708979655,50.767588701511634,53.82928018521354,57.78142231950313,57.12739223977246,55.59483930388709,52.8546325624571,49.60086751906075,47.88864787484917,44.61712091315146,46.14617488170239,46.00991519274897,49.47677021183455,48.649092051564274,52.08617679675104,55.86624432265235,53.55546110270334,51.746092421930264,50.44589215669394,50.745039848419545,49.820553594162924,55.056343924910905,52.50503129163082,53.59608319158721,57.74473952925482,56.33497442822187,58.10154096599081,56.05691759651252,59.67440145254886,59.35919878417667,54.113448409050086,56.54198122029896,60.22077471158522,59.510392259807396,62.580493195870694,57.76681990628101,62.29112690636619,65.79276453576288,62.35443292885342,61.65768630822079,66.5430524923304,66.89291909930517,63.26845189803531,64.9510150294885,63.21439791014449,64.75119322103168,62.2693184549634,58.72141741264701,55.677682614076474,52.959353196738135,50.12654421076444,48.096522107220245,47.118008011533185,49.14278379466126,51.44367547089487,54.71226978426998,54.397792078795355,60.88794240661724,59.313307350623944,62.2119052926796,60.90605109667718,61.650900400188846,59.302020891662416,58.1937818526055,56.31470386108273,55.41874743244128,52.472742228766926,52.2503101197619,54.78300318557338,55.523582628552205,55.70337264276866,58.809450628169216,56.58706986775609,59.55640078611684,56.00022829088384,53.74366843923515,49.00390721226964,49.07901809200729,44.74557745332828,47.343663554967236,44.562991260973405,45.319073000325574,47.70190713364227,45.78639506085161,48.10178042380079,45.224164377450194,47.63391618701703,42.552268455557645,43.794258023425975,41.505771620624046,37.21734521255281,38.83473703726565,34.35481789111993,36.21048260366669,33.74732990191003,34.564624332707815,36.03246341526765,35.69285523750358,39.423661745059654,39.151650977783994,44.08339032347885,43.03975950854923,39.857420793181035,37.15580913749072,33.98731182300093,32.23217579696613,30.247240026119925,31.272022953399475,29.984237958664952,32.90812514839703,34.48296240677249,39.56562345463235,36.908714232971946,40.998763998705414,42.20816567886246,44.409233407984196,40.21581179967309,37.27995477884756,33.18132888792231,33.913050343567875,33.40095630012036,37.16573118143076,38.2173358627667,43.14440695971656,43.43578060877863,41.28643932412031,44.76910794270604,43.87845278911225,40.65769207116028,40.23459784417444,39.34777875905518,36.74166316699351,37.2593541485762,36.811736199946594,40.22612308686813,39.01942388705684,41.43704737298285,42.616900614171826,41.39919129268088,41.5400937548896,43.06999345456761,41.73153699338596,41.44121394033797,44.9060854572949,42.06362424829379,46.58974065611258,45.75371155794765,42.43689973528469,43.25509648121292,43.47441492887028,39.87858176596783,37.72791289682265,38.73641775318289,38.87685583042358,43.241859045897854,45.20275329905874,47.0138329398908,48.23358016439602,47.585466133097796,52.66001089656976,51.6012075214783,51.926908265504224,50.04465126205807,45.58215322481985,48.5791219299434,50.193452613379215,47.986717446077584,52.260298401109175,52.54821171206152,56.068146970084655,53.06100028260079,53.34725200446,51.80238706427295,49.48216899627778,47.24060662182065,44.525230147185596,44.20910524382312,42.995382376751934,38.39539696537068,38.95268847928642,35.16918027290981,35.707101489579784,35.91052547801845,35.71068119809853,32.740060160494,30.68606334149532,32.55022604507963,29.886056844249072,25.242309118383883,27.38445486660714,29.968400004921104,24.424481034607926,22.73252001523568,24.827639492922582,24.068898092435205,19.469971255445362,20.071973194824665,20.08993608517193,24.342446163570695,23.57715747254586,26.377532025379423,28.86194126419936,33.42558625232913,35.3816251221754,38.236407561846384,40.571926317295116,40.93741479359543,44.37547511745402,43.76044065339476,47.12416512281207,44.5191545339067,39.617981016783844,43.468391147165015,45.30060917472715,40.65997284264284,40.221427677127714,44.17511339959324,42.094005966326094,37.86750206854218,39.968813374818495,36.23214522506626,40.659549136279935,42.650170390124934,41.05101658567146,44.14760462859995,45.884046271152584,45.0053085327756,40.83636918025115,40.83979166875726,42.455584967262446,38.8292890631337,35.818398714731046,37.22518760460901,35.756364804098695,31.959731092705766,34.64376894174357,34.901209570390435,30.623754798235588,30.151527152203087,33.32839908950054,32.393040995199414,36.22898827514202,37.03724021013503,39.626106747460824,36.16596138402642,32.046943422645974,36.37103912224681,35.66296199753911,32.02178542501293,32.679915062068034,37.19842471707532,33.717296791741795,29.854810093552757,33.925008303462455,36.38062494864104,32.554027730571605,29.518306162543684,25.22482847896755,26.435762269999806,21.920989191314405,21.558361004977623,18.579630218521157,21.49624002278848,19.48971000073841,16.84457872909496,20.07613790684945,21.86478315401013,24.832531160906385,27.404195287378915,27.10167624823613,31.495185685518045,29.762920732326236,27.629555965147265,32.72240007239159,33.302236189784956,34.77851215405618,30.264534747424232,28.227424087059727,30.7601890300773,29.98170833174714,24.67114139850089,26.040741119593445,28.052111056567124,28.97042747208153,29.328718591463577,30.536813669233073],[20.232935852544664,19.54682558099366,21.57223084848514,19.865710484621733,24.72918632801843,26.410286774210025,29.43545481110272,33.41855192434501,33.32889052487696,35.12107124834133,37.893233605462434,40.34564399164571,40.23742904304992,38.37423922850169,43.491994348693424,44.92285376173882,42.95050344839359,47.127402444369416,48.35359981173892,50.916107876978415,53.84177431358084,57.66567498597393,56.851997145868715,55.137805356838456,52.43112441866927,49.39703646993948,47.68902107758018,44.65886738185809,46.49151371484847,46.58181928442326,50.406407152498886,49.56312713404457,53.218418331392876,56.84629747039104,54.287808607822605,52.27141483145842,50.90901008877459,50.830037813044456,49.64017263912916,54.63484848860171,51.977933824497214,53.370773481567994,57.38254073353657,55.7480506533488,57.397079225681644,55.145508500569576,58.649391227553195,58.527765582715595,53.19556514549209,55.35558431991658,59.214330500646376,58.50917938123417,61.74413428816641,57.082810628634924,61.76589113697697,65.19695384826083,61.843162947544336,61.415262838976176,66.2772849316484,66.47329466361269,63.0814907529642,65.04838929318363,63.53574720975741,64.99249233796746,62.30823951418738,58.861946877234935,55.97381422440055,53.4645819209623,50.665147098379265,48.937630331332265,47.90599627028935,50.06628415138616,52.3938147781682,55.3988110137522,55.185861033336316,61.66712158442203,59.836422839445085,62.89412094505084,61.370882157866596,61.8488823193757,59.506336276545625,58.08334106752041,56.26978000531826,55.05175449909627,52.094075513421124,52.20299955065091,54.82717208447308,55.862787310073365,56.08700853213475,59.528786604855114,57.395890289440416,60.54595966173701,57.12854351929309,54.99224378646702,50.237158350103044,50.57137377300177,46.203820306003344,48.700882334168654,45.923042024611405,46.83761419732995,48.77798787915706,46.72573658745274,48.72002334615095,45.65892057867719,47.594466809310845,42.52675374376087,43.58788342031305,40.990512455577665,36.8519328245493,38.832982679417,34.477314001261234,36.25637463569345,34.15526812807435,34.63337529738923,36.410288539902396,35.749675758092096,39.541722338409926,38.94610686868937,44.109626608929666,43.4099311620463,40.26314965820595,37.69379192656473,34.171537721700346,32.48144835831817,30.66802077713037,31.120680177694464,30.13476163220666,32.627859269007566,34.018299253396805,39.03075469605535,35.915002347806585,39.966045161497526,40.99784057579904,43.58297684191429,39.2004145445532,36.53061680459993,32.06228981529943,33.01611146904656,32.609382905755595,36.49814209619266,37.36022881366987,42.272398529558934,42.9396924310561,40.84622325590769,44.35340196161051,43.824917932972454,40.595921389475855,40.4846823628937,39.621468302170655,37.38927158837203,37.97437967955814,38.02009722444269,41.49100847974424,40.7791986455253,43.11528064294918,43.93343189031908,42.492756735272415,42.34492283841477,43.73761301912181,41.99044455477164,41.26993381877157,44.84121540001308,41.58981507062439,46.0931973192622,44.83703388353377,41.219610782682764,41.86898997675618,41.73652808907763,38.11194786070556,36.225461774018854,37.42107239500021,37.89966764693356,42.43727770996481,44.65737172891923,46.7452664181903,48.20105999225447,47.840217856521306,52.830771026819356,51.44536746315314,51.68552337366296,49.44198407116315,45.17412188911814,47.75278688382537,49.11412247600704,46.93532209491637,51.274585622927795,51.74575134560128,55.0565881237178,51.81959505116211,51.945800261998,50.17772942822855,48.08647445486791,45.64192226130536,42.963337789445156,42.63918942041638,41.31998531423207,36.89349768206001,37.57419663925153,33.87698681900387,34.899963787270444,35.07827154295048,35.36196198388992,32.37304842168998,29.948081232672443,32.13032023273111,29.882450974210037,24.75254404505481,26.937760899605355,30.169625670879263,24.79278581376001,22.809290647012094,25.182213835552812,25.004672837794498,20.251215437927264,20.503636263470753,19.879411733563416,24.4156019829221,22.414985381978294,25.564023105992938,28.332058949688772,32.513044086274654,34.66980726246733,37.28002032118788,39.87534480544766,40.10064739361461,43.56074104433885,43.05839436172757,46.109670841238334,43.341212634092045,38.52057739210019,42.34636147692103,43.79405137788562,39.067281487377116,38.74827735326131,42.577023872966976,40.124440321740146,35.93658251044242,38.216269388844296,34.78802204933069,39.60958261475981,41.64996251168444,40.38141003069214,43.72523534094581,45.71936585461696,44.98778809461975,40.60403470296453,40.84300790960892,42.80272770857362,39.15030931066646,36.0118241629509,37.826031375766554,36.61832814224862,32.61375231978066,35.20931563507053,35.87328548818407,31.81650527282073,30.89751536284527,33.96860300785917,32.636083256077605,36.30166700154414,36.95198847308327,39.23340998360223,35.82692169091348,31.66343887513926,35.674879697776746,34.744441440250185,31.12641333382331,31.55879729081482,35.82779568352008,32.17202587042983,28.292806389866854,32.209452503047785,34.45953137564596,30.476150353896674,27.428075222272838,23.294685333549893,23.97570851080377,19.44523250360502,19.710853354879777,17.0103001880077,20.493972556296985,19.187419710343296,15.784817278352802,18.665883737509,19.85391435806047,23.026125722940648,26.023504058687458,26.21975103437052,30.635174718409253,29.28989173889312,27.62237005832711,32.9321812166811,33.6949022385292,35.52401531240325,30.86050151405675,28.965551589090527,31.93859184060927,31.14523644526632,25.852054655479492,27.437404826195618,29.85766976024763,30.904498374018655,31.37126336729782,32.47132376771193],[17.943536395920223,16.600812792242593,17.936053572075522,15.632340666783257,20.23897322773551,22.374862199601925,25.190547488188976,29.324816934833144,29.410866360140403,31.004667750440685,33.962419704879224,36.46018832530192,36.00098323755167,34.290731723616084,39.450056717625955,40.71613366517834,38.593598783502514,42.78367842048299,44.00910124684544,46.419845334212226,49.37118307294762,53.11538814566844,52.33636898249802,50.66215296948083,47.86331795274944,44.909231140159484,43.09210233410559,40.10320431122647,41.99567354297276,42.138124193873665,46.195822060834764,45.28336237423507,49.06901932490395,52.60511276357657,49.90349804577162,47.815292249426186,46.39225693735567,46.201805348768445,44.9443562658295,49.87596091361027,47.24385601858047,48.74007772973038,52.71191864188434,51.083251418799456,52.809657335145005,50.595748563915755,54.0794404661139,53.863282419882324,48.517928361378274,50.68105909263071,54.48614941984403,53.74324632403133,56.9747513890582,52.31533989263757,56.98871528924554,60.438723543229706,57.12979462349081,56.70402498603591,61.55722145097866,61.78328965482731,58.45325830253756,60.490060331046735,59.03638860826858,60.55495812349984,57.802462162877006,54.33065258461249,51.612579981780975,49.134309822924926,46.48456853595362,44.870853852934594,43.92838543298296,46.279542326076786,48.452676752504615,51.31312464247765,51.00463258009026,57.450790195148,55.43876369420832,58.52689713050667,56.87962236590393,57.24493717352285,54.8804861433145,53.367279553011215,51.57874790056381,50.29887739278719,47.32883332800267,47.50492972012582,50.16918100287768,51.28766159153022,51.56937781302339,55.14364785687167,53.105364666609916,56.39397340068463,53.05701310739745,50.96483050746697,46.212118486263726,46.76536903274966,42.38871254291254,44.72731894402805,41.95457610090989,43.02914748181256,44.61134434505848,42.56401322210646,44.31935800947811,41.271658460320126,43.05571501064744,38.03260343494798,39.20081852441147,36.56402000410876,32.50486959015441,34.50447565409991,30.112746018686043,31.688645972172754,29.679953109724757,29.994419827636225,31.916096692563244,31.185845710175336,35.04011536635123,34.45441233401634,39.76281207589316,39.07836474432034,36.02098329489374,33.4384871364509,29.810719993538697,28.024356936826578,26.212655393032843,26.425211239606934,25.61971409351275,27.969182429472088,29.430458138827007,34.42344985049792,31.36014953863196,35.51283307009337,36.40578208425347,38.96200731988015,34.49003987903795,31.765895900723418,27.32985093875305,28.218600692241093,27.858307554344623,31.755087420444507,32.77200141817408,37.697929839091906,38.342503648455306,36.17462439531216,39.64400983216022,39.166897953288306,35.93321573098995,35.9002048973629,35.05522848070914,33.00927526313526,33.721630733803984,34.058855256941314,37.664970947120594,37.3838288008698,39.5093850219094,40.0193067595893,38.374570924432426,38.10120509747334,39.34728245183365,37.46931096437388,36.56735251565222,40.14449733628978,36.82442844608298,41.31796435699013,40.04487211256216,36.47762231625701,37.140967051886975,37.12464039543304,33.51288403496232,31.526020613188788,32.679747094721904,33.10741665455336,37.64573134449447,39.88739564994905,42.01356012055619,43.552196464255736,43.25254924736957,48.23488624221665,46.736570796914094,46.993565104596904,44.679066945113746,40.4937354050443,43.06033788528845,44.42188675506017,42.18985708022299,46.493393694995575,46.95382200874523,50.27415409040876,47.09564659616601,47.228957319440454,45.52524705772273,43.37203851402883,41.01031555964706,38.3580853345425,38.12020222405563,36.96344736054739,32.47658934161415,33.34234022912474,29.790486644233475,30.733582156000104,31.32401797006555,31.5774279416798,28.357380575335114,26.235475698900636,28.78163952609524,26.381565910267753,21.089074913438935,23.860493118474228,27.340146754072794,21.736451627238,20.093226023793594,22.998737178804923,22.640764735844215,17.852892504886626,18.87193558363992,17.780072643886047,23.02572380422639,20.64481160273539,23.332369899303263,26.530613295866075,30.706161631128733,33.44210434262044,35.64221438369656,37.791048042829544,37.587174983386724,40.842586356195476,39.92862935260711,43.02673027940511,40.54702385429454,35.35679086783684,38.95577978446539,40.63930023273173,35.93211288914757,35.239208573270076,38.959545157863886,36.86004010889366,32.59778880505211,34.316881056261906,31.020346500532924,35.601886575756865,37.86771127905025,36.85746478196037,40.112622392402066,42.41103942252656,41.376878917922085,36.93781630077397,37.66033036920574,39.55342622774123,35.63516639507699,32.77491677574805,34.941584657326054,33.72076091936618,29.707121476475905,32.72084033867694,33.59732339886422,29.520379847766787,28.80565641887123,32.10466320039972,30.54172263298537,33.98397635990789,34.15611490441504,36.58973264024002,33.6320301957421,28.991081242452392,32.78631561612365,32.30139308058032,28.70318378937857,28.520170008128044,33.162838536021,29.954899254837322,25.562540745745693,29.132690272965576,31.945423019615035,28.298812167049636,24.889216398241302,20.46113810041699,21.868930511299013,17.20730821487808,18.010232058647485,14.331455921280105,17.448933246540914,15.774006752401636,12.14716333567201,14.853547746360084,16.327140017623275,19.133343581677078,22.28049930907396,21.971284624992066,26.35192631768034,24.78824702055801,23.524895820290016,28.935471683668638,30.038400452381012,31.781476319196507,26.92879589598563,25.515507309812982,28.706877195088964,27.472271612630927,22.414814329785678,24.584694742863494,27.187678549530684,28.427266022170333,29.131158226590532,30.310477759003533],[21.714156107830348,20.218573197671734,21.12259493693161,18.07937706072186,22.229925439301915,24.82601557508623,27.16272324689917,31.518699323587967,31.383599288645367,32.41719416029297,35.400419713794506,38.24415945532066,37.305816816136755,35.29082149063177,40.510210966587145,41.822355888742706,39.30350013404581,43.24552159401498,43.961443352878156,46.525894266295055,49.179336236026735,52.92362196904159,51.87271124499775,49.92669318483074,47.38012964785129,44.50495704451669,42.9908653766118,40.2806550472688,42.54684523448815,43.11821840895973,47.113730216354995,46.60821710377215,50.49059036551776,53.7666493916105,50.98302378096534,48.582611687396295,47.440950488140764,46.707995817756185,45.25641171078435,50.13302211131032,47.19552085576528,48.66373392870237,52.56655305250704,50.67502119961784,52.08092028835144,49.635500064406116,53.09196999566198,53.243948861318074,47.89818746016252,49.94655386258991,54.01966774443808,53.501628517921425,56.81719175997654,52.263545194619454,57.207453394181,60.382784637662915,56.953768237609175,56.89277509075514,61.72992022519762,61.59784938631456,58.365647163161,60.60699887571383,59.37326267858878,60.55558200626943,57.68296808212273,54.46498929485452,51.56806045260257,49.39534013194459,46.492264391008156,45.2002907994869,44.00396558221577,46.24414172308223,48.69335982988568,51.34158710039696,51.4214473473394,57.883915232479474,55.874303024865476,59.21007895407394,57.54279281774696,57.78284834575428,55.68326184655644,54.014340823562804,52.55505776421728,51.03900295538826,47.86463066027526,48.2584588542923,50.71539913147941,52.238507785433775,52.189877720972255,56.08164664785974,53.88858149476431,57.14272152786039,53.95538461671584,52.11748427172337,47.38877373235229,48.014109638670405,43.64253289602382,46.28530053153557,43.72419100963498,45.2432758137641,46.42283436267426,44.69312837652811,46.02368741235957,43.19722021860934,44.69477654762039,39.81414082228986,41.127975608927265,38.31061116788707,34.49072298901648,36.626395317005446,32.22758644096376,33.303040886682226,31.32305537300186,31.066010510875106,32.7863257270077,31.575169914872347,35.2577004010112,34.15918353844846,39.40486228590528,39.21452063303608,36.06443557010558,33.80004243834736,29.866282511833045,28.512413789006814,27.24603622985714,27.31646293767892,27.394580275945273,29.376653482478943,30.981763161172402,35.83780140269877,32.59046107247404,36.83531391506126,37.260031963660424,40.107046076705245,35.2493603725316,32.55559965434124,27.985140610720755,28.50920162163391,27.790366734699877,31.722512259810546,32.0462848847811,36.889700038837084,37.92194427706384,36.06276247152725,39.681571053684564,39.60877930122554,36.441063918910515,36.89268291932132,36.39638284029587,34.672774549278515,35.82681880968925,36.37063743828628,40.25159320787286,40.22771646314108,42.009950909455284,42.322907741170354,40.34658222359194,40.135962408601934,40.95624276024618,39.097334090346045,37.64100800951708,40.940993921176094,37.163424029149034,41.67567048982632,40.16017538085362,36.12544288511553,37.031494170597256,36.591211333064955,33.19605832895165,31.224446647220333,32.778128718122765,33.29624267046884,38.104633801440926,40.624736320815565,42.93194757747247,44.81804429193142,44.501806017008036,49.57105159480401,47.71778147069066,48.1208985719995,45.42497159769411,41.698498421771966,43.97766444976478,45.075772001681074,42.67194894881308,46.74580468969234,47.07925683889802,50.25316608681181,46.62709069228995,46.933670897249,45.12074550100263,43.31120323686569,41.015113306384556,38.600970052169345,38.611255690496584,37.63327249422855,33.35155392953811,34.63289141496226,31.38681752756187,32.68134496999024,33.59714694968993,34.15275519468544,30.773653315051497,28.68560103090117,31.61811546131073,29.38650206678416,23.84054480609897,26.881040552888894,30.73550159905804,25.17795072931085,23.58155440056326,26.686775213686165,26.457169940919613,21.683805761857695,22.717840876193833,21.311746752579946,26.67626986594719,23.50685898483757,26.351381245432044,29.76095358974957,33.60543004579436,36.4939501472474,38.47209725926134,40.74687839588835,40.34573490364995,43.532980351357764,42.55886664130358,45.40195010962023,42.90806454831446,37.69198204474505,41.12222179674109,42.5313483824524,37.78545262730891,37.0285119761525,40.498307744365185,38.176985761144486,33.97109287322419,35.480049910360805,32.71730274333241,37.43811636468395,39.90779125185025,39.33580623826531,42.675005099332374,45.28474623817371,44.15149733603406,39.60087394144674,40.71722971467954,42.70957255574529,38.649140105892705,35.93188188765151,38.38774550190914,37.23216365800302,33.19993960445008,36.31578485123421,37.363026479620466,33.34238923530746,32.58895427296053,35.87307637131878,34.12013582150098,37.40477352695936,37.35547423094276,39.635249137783994,36.84796367382601,32.11309382774111,35.582096302929514,35.065040262471626,31.53443794909542,30.973624625517477,35.455528671336225,32.22979324133887,27.751930930373163,30.95725382512519,33.70094537465597,29.998865365560068,26.53034343432694,22.299390199872004,23.159266354998625,18.565856376566767,20.288846159543358,16.848719253015005,20.244823729277204,18.914973185732016,14.815838415545493,16.960959338389053,17.819233917518844,20.515630543746994,24.22131443395251,23.929819889409387,28.195249276421347,26.592585278253917,26.083721770943804,31.58111236377644,33.02148843706111,34.696476729434806,29.699795849855292,28.751666527310704,32.06879716143363,30.40536657539731,25.63462101290145,28.18765576988687,30.792697859940745,32.05630689648954,32.788973058079826,33.99040067311362],[22.66459501229845,20.544684674420502,20.41729327945928,17.039425722319674,20.20489484835201,23.771638670430402,25.697709895111544,30.176967470523586,30.388099537426097,31.032250368517744,34.253432348368975,37.148077882929506,35.6057222387839,33.81972809594105,39.040343603614424,40.07947237277917,37.224302991964414,41.06840565524941,41.557810658906895,43.883879407305606,46.42501897569997,49.98279788928488,48.84146233809946,46.794964297676685,44.222325013766955,41.608385356844266,40.03326921173495,37.585183328956845,40.111063249047504,40.89440906076254,45.26900384152646,44.71348074924361,48.79603234986822,51.86296213727297,48.82625145272393,46.24290554386722,45.029072716939915,43.92343528732251,42.226007078209165,46.825655335072426,43.83995818436113,45.608859007502744,49.348374653644505,47.29354812263498,48.656752682168644,46.087194308918335,49.424466474614626,49.65625957631235,44.261020046049744,46.0863950206153,50.24487854446092,49.71018429044895,53.13458848524794,48.726362477973765,53.764404319168115,56.88066014260903,53.56300730670361,53.71437320935847,58.50064963739723,58.273680183924874,55.28018230335425,57.77357296593647,56.75676363049741,57.91850192446094,54.86276206056648,51.72420618619433,49.09395683812412,47.12124758312974,44.386205258810286,43.4199035621337,42.267018369611726,44.72211487292643,47.044291071502045,49.36314233169751,49.44521567070419,55.8174761760269,53.50632552433639,56.95448240382374,55.05183168909373,55.01144614105155,52.91848104829139,50.95877886377191,49.58829215476878,47.78683436050005,44.613029054885175,45.31365807662944,47.84198713612756,49.64016533686268,49.66292951559413,53.86519238782371,51.82374895769526,55.27788435119146,52.276923231052244,50.573767590487314,45.893636252232945,46.84813318502522,42.51086064662821,44.93067172352186,42.41643209251753,44.13593593233969,44.735667378026,42.94950520078475,43.84922918259628,40.9506097954913,41.95741034553285,37.20556004179473,38.45912222916233,35.42143648025833,31.872140417833574,34.24924436203595,30.021706172019886,30.811671457199342,29.230834687973523,28.548719715668696,30.568466835989884,29.050009382457457,32.74533812185256,31.391935224763497,36.86163265804855,36.96476953440132,33.96473047081315,31.848719996858016,27.636424914673135,26.319643595990065,25.271755905582094,24.671428288709386,25.221801745143615,26.64836810334702,28.13699090596063,32.803104402672446,29.29018050575303,33.52467796862933,33.645272724440616,36.752180909529585,31.70434820177893,29.22406341745922,24.453461933251315,25.048564725858196,24.43742340950688,28.41477589959509,28.654721273880124,33.44082391913524,34.770953486966974,32.93456500753021,36.50463393437506,36.77692391962559,33.65119522898216,34.42297788310212,33.98799952789502,32.740162018196614,34.03238268769328,35.12629584563241,39.06064068528702,39.66043573660991,41.20673173887458,41.05718701783791,38.81147725724962,38.315111614273455,38.89723721790212,36.677104675762145,34.74881472248632,38.06878775311982,33.94224581307524,38.37583028918347,36.51717402535944,32.27958386462788,33.07105914222165,32.40682067112504,29.040216685921724,27.22008117971055,28.924649886888442,29.68274520730929,34.59571980485975,37.32624574110981,39.85865701456624,41.98080594621066,41.92490489771379,46.870768043446205,44.69795332079574,45.05369387250509,42.03900494252195,38.59446230340169,40.50438815116566,41.38359671666785,38.964668500365995,43.014884265025465,43.471589308533915,46.47100057817313,42.70900746634639,42.903347046915,40.97005087494855,39.31683084168631,36.95069921371738,34.626275736052385,34.72800731227005,33.83539225754465,29.716149412746923,31.278248381264653,28.322488373248053,29.924122172627495,31.161169828172422,32.04538719572102,28.55970485808514,26.522537256409834,29.89082992736348,27.920968084190626,22.158138110927826,25.544595191944993,29.86090069124226,24.50426580017245,23.05986999967795,26.53113137022919,26.537528650148452,21.93440246782071,23.182378823394647,21.194148014050533,26.873387783779343,22.835119279006108,25.42320516574642,29.17905603407511,32.633884203916836,35.981907436588656,37.46595395176714,39.54061738216367,38.7338111260556,41.72185399316453,40.52890450199156,43.13677693368449,40.790685229103815,35.44101119063732,38.60007561917951,39.88559369953133,35.17202309834615,34.207760615142945,37.4197512604006,35.131558376947766,30.97680315442434,32.09313500393448,29.790163433090665,34.51923426901806,37.17566489083045,37.076996434488784,40.46268600432718,43.44572276968798,42.20050617452862,37.54005617696113,39.17053377587135,41.30408449878948,37.11122018929739,34.58514300067057,37.50069678164168,36.52867417132254,32.47449524847923,35.735517998899056,37.14597605680838,33.3518049017201,32.493576707731194,35.77079274790793,33.67319501948367,36.606185710112,36.11167635534279,38.24397919545132,35.88514438672348,30.913514156758946,33.89447216909682,33.57523496013564,30.1855091654813,28.992019881418305,33.452856559078626,30.54229100410922,25.797795490656892,28.461513219978627,31.436697281268035,27.99477475164027,24.340010509876997,20.211534527731686,21.164039304511405,16.765942665456446,19.390327971749233,15.730827221650834,18.945965461688175,17.97655831771114,13.564590742759117,14.895437888946445,15.296527626794855,17.59520672002913,21.680847787984277,21.355896133646056,25.419310081757676,23.985286702879627,24.263110211950444,29.78087168354468,31.57648074955914,33.366588844557434,28.29203147563656,27.852229863408734,31.480663577960257,29.54379724592479,25.169650582554286,28.135845454257343,31.00229672369195,32.40918505315318,33.31959530260308,34.47238618743743],[22.889155286856557,20.912732625791122,20.88627160380473,16.390766764731527,19.64468894011343,22.591504587692672,23.984452170608154,28.5496781130667,28.13242179455212,28.30187726521648,31.342902437992414,34.57214848321289,32.895963538492715,30.641598023549736,35.85765660744945,37.11836411662526,34.14960690943146,37.80558793225973,38.072072191684065,40.715714521664395,43.13028597680692,46.869073031013905,45.65014208961978,43.57217267822889,41.18332366393568,38.339031482545636,37.06024190709707,34.57949812135127,37.171175322694324,38.1972801112941,42.14170860650697,42.07587136518057,46.070387258600256,48.98824254045738,46.10480598316757,43.37643209028719,42.56776656958993,41.282959682079785,39.71203696621884,44.626534973315955,41.422188612169464,42.737503171690484,46.61095603862978,44.59232664078118,45.805382415252346,43.310967562950715,46.81281563643546,47.11382658617935,41.83629968146721,43.993479096413395,48.152572187166676,47.86588167748267,51.124506076316536,46.57621218848964,51.70596170808683,54.61647533145985,51.027396789855715,51.200785561785416,56.02105718344377,55.61380293188915,52.392654146137026,54.75036326194222,53.69461728059392,54.60859287361031,51.65516003014332,48.63916203535453,45.63581077622946,43.73135566952347,40.70190569754612,39.757193364993434,38.40972653487327,40.682546549669745,43.22792858503587,45.58881524856247,45.94425632507218,52.36699715970161,50.309007780038776,53.86563848498459,52.17481275652198,52.31468072943198,50.51846555784804,48.79091874802849,47.7402797989363,46.11441524658092,42.68359016029911,43.16536694787062,45.32515712398617,47.23637299086047,46.81075527473764,51.01109427607104,48.69412184612269,51.94968468253039,48.97184929086621,47.43462846407463,42.78066151613728,43.61079219415526,39.29697474224378,42.151166004223775,39.890955368683834,42.060111807122404,42.55106459611248,41.35976732934066,42.052027652196884,39.70954264865844,41.005389447842326,36.42285942346956,38.21525367749367,35.42787861531408,31.97011035144391,33.94574245137176,29.47620801736457,29.62135851102131,27.5442375524864,26.535076278204937,27.893445454396343,26.182875103538933,29.64220860436358,28.132014898720076,33.31022744862788,33.520531698378726,30.362286731519475,28.41718708558672,24.212027544863204,23.291513180121818,22.70207186934441,22.702987711313018,24.06753213386288,25.65453224942641,27.70302192248904,32.31521362658517,29.395009472908733,33.86218470492496,33.62905743815941,36.41410626520965,31.150951051738826,28.19310427497305,23.946450042631305,23.577688939189237,22.28539349731989,26.128811358773365,25.874879570944877,30.64907681447955,31.825035715188942,30.2322111460213,33.970598341603825,34.19939296308073,31.139399732884467,32.10099403877015,32.09558407701495,30.794500457954374,32.646420570743764,33.47582213974308,37.78022284071232,38.30809448285798,39.39530594551886,39.29767307434723,36.80794049900335,36.73204847754956,36.885042126900984,35.2281035392851,33.15404629558454,35.96099891112259,31.8488691958262,36.37216690845606,34.90293975714167,30.618357049821324,32.05644162754164,31.576562064674025,28.573475184846956,26.19680931812376,28.044198304759412,28.25259631473802,33.23021948160831,35.897093587528786,38.233323814302224,40.47756289124645,39.98270298471127,45.18528634411197,43.00468813341626,43.6958902243076,40.73731556002696,37.59441090176731,39.83831972622207,40.81797397232766,38.10202691790594,41.72663941223913,41.703184812500005,44.88467373184128,40.980452877967274,41.683317946694196,40.061256105319714,38.38687519280546,36.529428196017115,34.46038751624412,34.940309573535444,34.55869812050928,30.37038648617592,32.311631382583585,29.661969367500486,30.809973034032392,32.684646733292,33.141717032520006,29.367995725518263,28.11679303094067,31.614340720744302,29.128860845824438,23.706803232013453,27.616549402561827,31.564861954702145,25.877936151884178,25.02297634242094,28.625146529448234,27.951060441961335,23.488342195677323,25.531255600540963,23.79860783248489,29.637671872269006,26.254413905568494,28.37907491559037,32.17535732389199,35.86145772418762,39.37062385111641,40.79428986706222,42.438243456443985,41.419033618372595,44.2083876024437,42.57351352517402,45.396127504777596,43.42455167449378,37.74588061465184,40.64092596600422,42.34191478299701,37.743873708421354,36.3387885171647,39.409189193207446,37.67537274323371,33.504448590239,33.8025700332515,31.657093748995553,35.750649033141684,38.67854126756903,38.69813170462907,41.75692176810714,44.878475224127236,43.135161668687104,38.631552206143844,40.62768377572576,42.34768814472388,37.874072962277026,35.843203279447415,38.714678517262826,37.45276701067942,33.64217601040235,37.36855391131582,38.55164662818151,34.51904188174783,34.284791315948915,37.81192481943173,35.90228785211345,38.803685642870775,38.04723109453913,40.532863775108694,38.48699000204271,33.22517129858325,36.22208339072115,36.40147606502469,33.038147313970505,31.513298160346206,36.363920837713316,33.88104238386517,28.856140907946642,31.247257300693246,34.71196381608486,31.59589506610843,27.775819124632697,23.476078722503406,25.031966634916827,20.67532415515364,23.22514143083803,19.00079040249554,21.558500456082296,19.726361212202217,15.843108379566072,17.19007754951342,18.18104077756291,19.81568976062769,23.76649233970519,22.349181093193643,26.210959465823827,23.933446797065795,24.609165612653786,29.978406598562838,32.1076459526553,33.27179469703744,28.09653247306457,28.29316946327388,31.61139866491653,28.905937597119646,24.987595023259164,28.482335354805063,30.96055430496456,32.33632915125222,33.28749849025398,34.62981505770264],[27.58811303878755,25.40654341539861,24.912046773430205,20.639184738332897,23.06568689307703,26.797560132775814,27.89153069984678,32.48958083564942,32.27980982569298,32.03473609649912,35.16421958766712,38.50804343819143,36.28506334623873,34.068522926531294,39.21781973855466,40.31024395937616,36.92903965825431,40.2832636555173,39.980609695242144,42.52162644352752,44.563375321054394,48.096802418854494,46.566627481429784,44.15475683454431,42.01642916594712,39.526011287360504,38.47771601963044,36.49544498899686,39.52054953493776,40.95326204672579,45.08720059175052,45.20252698051978,49.34204507424212,51.95576668612526,48.86782925533449,45.85064413540891,45.14210669339029,43.2379512622987,41.32271672017253,45.83958669296724,42.41016393955698,44.00165750158676,47.613627121738936,45.22300016151501,46.07890207283821,43.23450866863297,46.535714991558315,47.295908982162935,42.00724165686877,43.74140771149278,48.221856286185336,48.08590687138888,51.53350314932317,47.28789049586483,52.66668021483228,55.30324246195125,51.78089355160477,52.45043572415343,57.16837029923395,56.3963148986012,53.52031551321872,56.250331631543794,55.55256966359264,56.18210760019226,53.00316030397093,50.288291020568316,47.387607676441945,45.902881093591006,42.82767011612007,42.3691826742655,40.86280614200976,43.12202431184518,45.79596835717224,47.748810888070764,48.41383377645256,54.72033671414598,52.46656154090433,56.24652845899059,54.37062916479654,54.18491939375568,52.563644165637506,50.46943794774543,49.670507508268486,47.62122526397758,44.137574533092064,45.07310095306175,47.17067560191357,49.54486349363222,49.00108423095344,53.602698082469345,51.32746042155775,54.6664477319025,51.935026728941956,50.65185924669097,46.0926715189105,47.14260227900827,42.904174294010275,45.74749117938352,43.62619370326894,46.02799244661982,46.008241509624675,44.83765272235818,45.0715739895394,42.693066781722315,43.37787493214578,38.98527259947328,40.59310321154619,37.48846045848794,34.390775915822886,36.72249353984443,32.53941841829714,32.434975600457776,30.820526318177627,29.29098457275677,30.797335138609935,28.598943774818213,31.851389924417216,29.746010119536873,34.92249040185479,35.77965731665815,32.72556863528143,31.18378850317718,26.68536478500695,26.139267721028258,26.02599502717859,25.3751071201763,27.320687903839726,28.233400006262283,30.03311533822536,34.32076961939234,30.913761710975706,35.219263251157535,34.556955569108,37.84416220778921,32.33667162332317,29.82389627699399,25.283548831489806,24.98873206897284,23.67938013009284,27.47397108368138,26.52651047649395,31.03294965959278,32.87870002531504,31.607335311637726,35.332150241173046,36.17887518083255,33.260300387335796,34.75334185908252,34.9287464648725,34.16332181552129,36.155982229323165,37.43842571706876,41.7411158602053,42.67929110701364,43.616968965091665,43.192486509796424,40.47814365208872,40.174926292392314,40.045518190384456,38.05532518827724,35.370577950553,38.06022051155258,33.3965374364933,37.757525065844,35.71374940367657,30.89835748122648,32.2479570070202,31.05692034443856,28.261860636014667,26.31886568411834,28.597287202526626,29.266081179378325,34.42153655320488,37.450216814017885,40.11342989731732,42.7112093602815,42.510645374041616,47.55061418483685,44.9181413873104,45.57549344295354,42.10665575372539,39.479933003917765,41.06872403497509,41.60407798017715,38.88641942880155,42.37481815283863,42.48366670971938,45.28523175360769,40.90381981019239,41.51904897549919,39.584821337521674,38.44054920097827,36.423194466836264,34.59933819063567,35.20618306912642,34.81410676016855,31.07689895416364,33.30750391086158,30.99420417933929,32.77808355606383,34.66038258854158,35.69837898204853,32.00678448985195,30.416956563333105,34.18602286304356,32.24014341203649,26.54450025336419,30.324397155346478,34.78440833519521,29.45635765099502,28.338914749139512,32.001459796419525,31.851794732323643,27.388716691741173,28.971149434180152,26.842850907220736,32.630930803320126,28.215226281020943,30.637788482694063,34.564931865360684,37.71684506239542,41.301892254917995,42.45321257450282,44.392000766655926,43.23636073034107,45.988322918442954,44.51031675524646,46.8709722561256,44.74585790810011,39.28744881969525,42.03903409612203,43.17825815151313,38.577148935269285,37.321563104844856,40.06599227061273,37.85564812802758,33.879854674436295,34.26032037127783,32.78669685866273,37.24593725914017,40.22095917112176,40.72982510152946,44.00636717059462,47.39677791154407,45.82669399382962,41.17557975552063,43.42457779703649,45.471466854951004,41.05404693596243,38.95202075477712,42.153385546837434,41.15783616318069,37.238462349474574,40.77018853237454,42.277624629259165,38.494027215556194,37.85915213281944,41.20267689771802,38.990153985119925,41.684795933959784,40.80620026296272,42.894424533894664,40.93617148704101,35.78941115458887,38.33943145350283,38.25086267316076,35.0242121169735,33.25362461728944,37.62097252119412,35.01206102272726,30.148620131048446,32.14239489984362,35.23225381801989,32.037475061778814,28.34685015539226,24.542718589615856,25.218230865515526,21.214130639818887,24.565531441048833,21.007815173523497,23.991184602373522,23.016408855320947,18.67661807935567,19.396795327033747,19.41011626608572,21.048823350373013,25.432661517726448,24.6641477030889,28.28622834048404,26.547755201512317,27.867121485656845,33.230867445746355,35.50821365457463,36.95559493834822,31.803908918426135,32.1421870068782,35.72746862755416,33.07998395995308,29.31176349588981,32.80738819429817,35.49607964105175,36.91396379423186,37.87252021541665,39.09669428525772],[28.03053454867664,25.912387262244266,25.353724903761666,20.314003381427398,22.5147172609842,25.754313541968767,26.251748177295667,30.827363447266954,30.122799906429062,29.34136127167925,32.288848251011544,35.90301789454322,33.450052812477615,30.869992613175263,35.93313516109046,37.16294810245154,33.63399243106562,36.73844288981356,36.16114699589879,38.95055279342179,40.83385712270949,44.49626743492122,42.88507534874705,40.43735632119533,38.48206397161928,35.81989469395584,35.0665944856323,33.127462300531555,36.24641370018594,37.94888741826318,41.70624063660196,42.279596219765516,46.33860715132062,48.750363177440505,45.78104489867752,42.6119661843502,42.28624773204,40.15450592188382,38.33400219304587,43.08337624831858,39.45702173744585,40.637833895725585,44.338403701814514,41.97280747376397,42.679040725972136,39.90877328433267,43.35294760332333,44.173149672895754,39.01773454733047,41.055234832322085,45.515126924981416,45.61518533204542,48.89330673544195,44.54411968990075,49.99347736810438,52.41962282020796,48.662512836635685,49.373225979930524,54.09950496278609,53.152390063268896,50.09618135049841,52.72184026398898,52.02252494777744,52.41459549505037,49.31432015766568,46.73816102566022,43.53838252238298,42.168104301877904,38.85828782019553,38.50201127649234,36.824185836754346,38.94035129458264,41.78473499811569,43.693675417105894,44.61916994135986,50.92473629395492,48.86390565352548,52.74910133174073,51.04126918080994,50.98271221879794,49.6529283831734,47.74998853081238,47.27445619182785,45.36899292540499,41.66331536457419,42.425970704161685,44.16319272149671,46.67585502410937,45.718372126951834,50.34749872031885,47.85261054485305,51.02430775849234,48.36801745002961,47.278824707193536,42.7931128592316,43.788515646256,39.62452868569325,42.79802146895238,40.94925344209897,43.78142695473476,43.54611221861329,42.930771482885994,42.89092923522403,41.04660743659267,41.91860876602573,37.75519877922452,39.83617517365697,36.97775816848288,34.04082951383332,36.000587253433444,31.69534487760452,30.95190563754758,28.98667958378815,27.08715224333414,27.974851975098055,25.542960035674515,28.488182773084212,26.169482501650556,31.03879415904865,32.079022534298,28.93687946830274,27.646160662708443,23.160523780617012,23.077730558652302,23.508240160657078,23.298215606734043,26.05982781984195,26.98911867673991,29.246366542255622,33.375808605158646,30.555891787775064,35.01064193591564,33.999792521999495,36.95507177649517,31.301540068196154,28.401963048016405,24.451506213712292,23.225580865894038,21.267003770848714,24.838415579576523,23.34047560256457,27.769019178234956,29.501528160312454,28.508213551537292,32.35240106569805,33.21808584153783,30.41554474240365,32.14632849016564,32.749154586405545,32.046284097883266,34.54955074584639,35.674850443654016,40.25605404132284,41.235316199229494,41.7021334403738,41.23881345781408,38.282939596061325,38.31847683818906,37.74348893876722,36.24471167811466,33.37726171442402,35.534079291446034,30.87924758185099,35.26187767331691,33.57883094808406,28.750233048998194,30.7235911323238,29.731672741814208,27.34847552511389,24.887413096090285,27.277840486993686,27.41444894223075,32.56621363655332,35.52257321366319,37.99839370686533,40.72226424329895,40.147934372656316,45.36516299991015,42.69897411093513,43.6653683819859,40.241162681572284,37.9682998957008,39.817534884471314,40.428147759414884,37.447550738342464,40.486036570189306,40.135874838657124,43.08401034462062,38.58765988623302,39.6940384005562,38.08536518810261,36.925818697445976,35.432939001514534,33.88357678094179,34.85421806976559,34.96779741202758,31.21793529199088,33.7834134326064,31.800163607211218,33.158466267113006,35.62125434863394,36.28803808625466,32.38081071256082,31.514976347394043,35.388579834011345,33.04227238311233,27.70657756999283,31.909646787513008,36.05287935027455,30.535032982862404,29.93780716675376,33.71603805995074,33.031747123544875,28.76653375859878,31.002548043832494,29.03231869969849,34.9625488129589,31.06175705261848,33.03291238804872,37.00980743973671,40.33732225650959,44.11261155179798,45.160017206681424,46.659218708301026,45.273800029358355,47.810347676046746,45.90362238744956,48.44383474971336,46.70056328391727,40.94641733988085,43.41612401832404,44.95361365575838,40.49382271603987,38.813448359737464,41.398591599345416,39.764824857576144,35.79884307823832,35.37972601363508,34.06808235546584,37.879192670841945,41.09014704310348,41.73521241752864,44.68690104393538,48.217935460717165,46.18785993730464,41.70751378064148,44.32523844833042,45.99867199271792,41.3510334966546,39.73364756723967,42.9254033943856,41.70900371347009,38.03718971423832,41.962717374159695,43.310043008738376,39.385498210150665,39.27633518542387,42.81602346340597,40.73800234576616,43.34874637818784,42.19039480405608,44.575943586972826,42.95646487275401,37.55101535787165,40.05863120006743,40.45094159796965,37.273088779458945,35.17043310107267,39.88322021861772,37.71669028941366,32.593983952950296,34.311264409027,37.875578750828474,35.029893908249825,31.182665463115725,27.220593281203108,28.523212620087897,24.545553448270933,27.8032737962805,23.72330156477332,26.112216935678845,24.48533500363046,20.625497632038922,21.296075950331073,21.802319147804916,22.842272667549206,27.022355825644674,25.316188020638155,28.658621628472456,26.229050468749346,27.968623212567824,33.09617250015699,35.67845995623978,36.574096570776554,31.41230795793639,32.36606016844109,35.677090450442876,32.372303536862134,29.142300962273392,33.07265796232321,35.43348148525798,36.828015757712755,37.83605667605207,39.18800983244295],[24.540275847340123,22.23126883421982,21.399913917108897,16.27987848419456,18.354253079003207,21.691125932397608,22.259584305856407,26.850911872316892,26.404595490971925,25.86448189116225,28.97906399197944,32.402032729998275,30.049982265947193,27.783591371492303,32.921874402889806,34.01895447495264,30.663182070797593,34.07394235691156,33.9798368181464,36.55799742162358,38.78754104673063,42.44478601313891,41.10649997648262,38.926235241210996,36.60904458225086,33.882135594304685,32.71814307854532,30.491526642932396,33.37468711087509,34.75940670027003,38.79726057059892,38.971165797594196,43.079439434270355,45.68791584370674,42.663177272207065,39.68405992038497,39.05437038907206,37.30009003080102,35.57261112209152,40.402392203032676,37.028690598682154,38.34917254377188,42.143744404481055,40.00132988971346,41.09925346299646,38.54717699314187,42.04438011710873,42.43664716837234,37.18814146611081,39.35591087364547,43.574903825998014,43.421616995184124,46.66748138615549,42.16819030401477,47.426395050265555,50.160799136370635,46.51654195520781,46.8911373701433,51.67844153024933,51.08853097932894,47.954972555816795,50.4633722126624,49.588500095466095,50.34953518968607,47.2858754237207,44.4138071280873,41.46707372877895,39.79974953657407,36.7889126547801,36.19086452976688,34.793410697858256,37.17987518420774,39.69245109684829,41.73726712917991,42.236334214687425,48.57633569790964,46.37125251506005,50.08472549117738,48.29419146857617,48.27293107926007,46.66252073631975,44.8086950992609,44.042306791268665,42.26718816646823,38.68927442833032,39.3237752039896,41.31428822104323,43.55018198142513,42.92772604645899,47.409780452115875,45.09269158726371,48.41961578998084,45.64999280678308,44.346612611113684,39.79016037291182,40.87326521032066,36.65077388290921,39.49901239133077,37.45937033036681,40.06243440508493,39.91852529525646,39.04615033246376,39.185628180831515,37.149457159779566,38.14665154208608,33.85679712349404,35.918725088641004,33.13750133611933,30.06501359503578,31.95939090651151,27.59962737127327,27.023945448505838,25.067745204286947,23.404971002067363,24.601463729251737,22.445076170288157,25.718346640695955,23.840025300373295,29.05698751458635,29.634379320746692,26.566304145293945,24.912041798371334,20.454438207667046,19.872739586155767,19.880651371486564,19.563538356266832,21.984152878888427,23.055521993255315,25.32484171032892,29.60600442103175,26.912436065754445,31.437533203235613,30.67975860117703,33.438354901447056,27.9231465806518,24.88198878758679,20.931845478259394,19.88852853848313,18.19586574598144,21.943183863873447,21.25001314167694,25.959799096389098,27.32267827171688,25.916049442338718,29.69919885369246,30.248559105843405,27.300729639819437,28.714904605842595,29.06012358954623,28.23579494609796,30.54978743916281,31.73824522442819,36.23580280516266,37.302725793388085,37.882802120765625,37.371073959046534,34.50740536391076,34.41147643711744,34.056771468542074,32.42513946476183,29.81161977048082,32.26386753009985,27.842809194918818,32.31736505274269,30.7918946276923,26.30926480736746,28.09197074421942,27.55839969497879,24.88452214828607,22.255068970000824,24.327060674408145,24.35837342981334,29.431756581460476,32.23413049877081,34.63754656445617,37.17109301830946,36.65178312821907,41.856472870457985,39.38123477575103,40.23864567540259,37.037532389429195,34.392063036087315,36.49045368656343,37.33022833928849,34.420468446595876,37.71235757345033,37.486004475166425,40.62071721222246,36.52309269282952,37.45796402756562,35.95288672065511,34.401558052717164,32.85266763412165,31.067076299687496,31.892241431458352,31.957656528153485,27.948817658646114,30.364390565886353,28.254927875855422,29.335624544801775,31.86323153152362,32.32101684319866,28.374475594927247,27.71491098716774,31.55215366744257,29.051129752269848,23.87058596041741,28.21524920680596,32.20364157028476,26.681401958334472,26.309049801580787,30.14275648326613,29.313634056397074,25.222250368479628,27.748947246764665,25.78114442826093,31.75536646786496,28.17993626918181,29.78550747115202,33.765671385965895,37.206716353506565,41.10255146562993,42.08664521141499,43.28973728136381,41.83135916178906,44.29303671372119,42.226753360156756,44.94895629858476,43.364552538367064,37.465491754688735,39.91310379933869,41.75692715997706,37.34332019607711,35.505467349202796,38.20725439260238,36.91523593403821,32.8675183965518,32.27038080829421,30.67261115258102,34.24658470124548,37.457994186179135,37.957702245748536,40.797783611412406,44.28119754466343,42.15850390177732,37.72975763814009,40.35971544615087,41.92454693220493,37.243429932443796,35.7188367456687,38.899658443317506,37.65179359026337,34.044807183357804,38.07722174913544,39.41343843824129,35.51782061733752,35.54257601213697,39.13260370128827,37.085345880464345,39.62947806122479,38.36774194115171,40.89773398885746,39.42115234657851,33.90934839769116,36.4497533952967,37.089254673743795,33.9291961882015,31.73831019468904,36.697964870181494,34.78748137055058,29.521081527178207,31.238118984160046,35.11595012851231,32.490824195728436,28.54032565663721,24.385404751305582,26.329212572573823,22.336289312579698,25.334460063438215,20.863799221609426,22.771349880477466,20.84371751060351,17.323721880903555,17.93773562665492,18.8641802943937,19.61828745732929,23.549677333359668,21.444591547688777,24.804061556461793,22.191299120921148,23.853500650524847,28.951974469999904,31.549345750888698,32.40879330515086,27.246348479450802,28.279436496592375,31.5914605950488,28.269042962563663,25.12452861298817,29.14464604320218,31.55305009549942,32.997244659419536,34.096101630658865,35.453889298599364],[26.44776807397823,23.774414583280276,22.348423296921833,18.113422091577007,19.389626683862485,23.919493204801906,24.68961507110432,29.23198694531442,29.55069054164082,29.15575595837575,32.52863571105199,35.68593817305972,33.041611952614545,31.329277666974445,36.40454485404579,37.122407822704446,33.60859156156578,37.01392866993872,36.82085940898611,38.93983818399149,41.08410140711743,44.393763024493595,42.973814190739894,40.65971013889652,38.26240371459343,36.02708610817241,34.64873665282676,32.78063179648829,35.86009505592796,37.255693435931136,41.89080039811908,41.6659431819862,45.969580425705644,48.50334328427152,45.17200563932982,42.15299272117998,41.16334380799611,39.18031123175424,37.0972470734703,41.3371084045331,38.06215766724873,40.05082798987476,43.53160657190061,41.14120552461838,42.21970505308549,39.40786829402483,42.609747018332726,43.15225420696388,37.76930878246512,39.348007694930644,43.7385672552291,43.40823245754209,46.933586604620174,42.7503752237063,48.061899292357175,50.84768548508684,47.53264531316008,48.1744875928064,52.860137464649995,52.253013081462825,49.57402026427648,52.45270341617675,51.84499585495096,52.713805744354595,49.40264526839012,46.576908468889215,44.143321432865854,42.66410124066711,40.00017289297136,39.697459015901416,38.45088224263877,41.065672307423775,43.351439466963505,45.06349814715469,45.423049005372405,51.60627935048069,48.981312246802155,52.71257979907761,50.56784831640056,50.13864119443422,48.3338342699256,46.003789914510996,45.088642847744744,42.861896882798874,39.5004112791435,40.65382023276531,42.982772426868586,45.40771252777869,45.181130578158665,49.9306089084192,47.95051743512626,51.5558560052569,48.94261180895728,47.64184151751734,43.13817416013315,44.53364670707728,40.353211034574436,42.707083780054155,40.519448561216,42.87596088519432,42.411290659270705,41.002787516429635,40.96950007617479,38.40507173305858,38.688084246642475,34.394212500830086,35.887020393404875,32.66390839433418,29.797744991351905,32.28294243768582,28.337778903935188,28.098680039766055,26.958894646435166,25.22078465602659,27.218056282161054,24.95213428609144,28.34058004238688,26.295898544455618,31.83450954003859,32.67228824387146,29.892275415260812,28.304575689000963,23.69102996183732,22.883460334405353,22.713102596496483,21.28127615596518,23.374963492946872,23.766378578875912,25.37291843537606,29.464737900137678,25.920125161448205,30.182804636555016,29.382570628923624,32.77003684013959,27.233244140146216,24.920194208553525,20.25025200538682,20.180113498537814,19.222196798443736,23.07931554244785,22.56028344187625,27.109910867842135,29.031260780617018,27.534884614671064,31.10261719488509,32.0960866246028,29.180873694488874,30.758199731250293,30.80245981130578,30.441804938039276,32.35497611742208,34.15965669444821,38.33923661430514,39.852040279923074,40.68220177797146,39.83060312790225,37.004319251718336,36.33506269869288,36.157214555249446,33.74348496919577,30.81280822722202,33.68993573389107,28.887565324892304,33.160358914551296,30.8690726899473,26.095552896171984,27.17468366860776,26.037799959572823,23.10288270295363,21.24532118134679,23.47625633550083,24.35600445255086,29.502049915586518,32.61515996518156,35.43350285559939,38.101228531081,38.2106451193375,43.051301284031396,40.2670434882606,40.7877106073708,37.183576476647666,34.61415941592242,35.971897899030935,36.433964675738345,33.77195409967128,37.38697214197637,37.71246835160138,40.44542766298485,36.21463680066985,36.588887999181836,34.602888137450506,33.36391619442789,31.24390893485586,29.372419606643998,29.97939383843871,29.657479766475944,25.966131859423882,28.360083746472863,26.307010442985703,28.170349565755604,30.353650283663583,31.534391858653162,27.81642824844841,26.44064237678718,30.469369357554125,28.708017409752255,23.114190747679984,27.135454250926642,31.757565490178422,26.745893097048146,25.910931915473693,29.777530697441357,29.736960336662115,25.636326218966715,27.485690803288627,25.005523594228034,30.893018723144355,26.18537644935608,28.07344995966565,32.178165709451726,35.05030863067339,39.03165230683115,39.72944051468124,41.25974624252405,39.72981572504265,42.223162916223274,40.459662012323136,42.7183985837882,40.86580597823981,35.25742171225416,37.70833788669666,38.94888484603711,34.47523570643714,32.92515536499698,35.46842320952917,33.58281638682329,29.659384029955348,29.493812979469002,28.305324478268595,32.5214322218231,35.62905187394235,36.46075806208206,39.65774270447887,43.298344827105666,41.59413778555694,36.9449832336102,39.607544514454865,41.68041977590423,37.20357285687356,35.34926438450222,38.8711164777141,38.030835540046276,34.20013598372564,37.84045563817827,39.61118160486541,36.09414037276852,35.45734192451678,38.76964989859379,36.34254401747904,38.6703356910911,37.37438787696756,39.40675888246671,37.92841874581483,32.60823365860856,34.72424387684395,34.98178288861781,31.94673670216926,29.615659961573602,34.057728036725436,31.96493117480692,26.881820530719807,28.332257699249823,31.810436678366585,29.09001025604529,25.256631783799797,21.54165976732519,22.77350052474175,19.12351976696527,22.81261037640653,18.97442866113101,21.314830642774613,20.496426919960136,16.410318265089714,16.349097642462006,16.236221244045563,17.136670439016665,21.50128134774608,20.473839974358746,23.762902361798155,22.162903338133592,24.12305257635751,29.317887830579792,31.844014156355996,33.364528501661304,28.28792770491812,29.060555780196946,32.82458038434672,30.063811884437545,26.76258221470247,30.49152785697078,33.374676071212164,34.912248674145715,36.044707663869964,37.20061190243932],[30.550903647937012,27.9793751510959,26.592811728849618,22.021898578864217,23.057945282892298,27.426723518669604,27.726900473702134,32.2510721257256,32.21984597292597,31.25425005020826,34.47003228255549,37.913074218613794,34.88018937550156,32.82974605405662,37.77996290963418,38.565499413661136,34.716370175865514,37.68471204228272,36.84072464536428,39.13830337004912,40.836530459855005,44.10620903474508,42.35601274165898,39.72803677415174,37.74407949359559,35.63562030659464,34.742130433552596,33.2905366963878,36.728205043868584,38.61266201476692,42.968371190071046,43.27769670803431,47.56487010322443,49.749225899110996,46.42749357938919,43.10514318931292,42.53392609454018,39.95218867770151,37.72134500663556,41.84669214254964,38.22888402374379,40.04357923832862,43.38619873746646,40.71738416546544,41.329596876842324,38.27452710472335,41.41634378382574,42.44618629431862,37.19454271200549,38.65718378737008,43.316095930131524,43.332664060086024,46.86237129934953,42.8588186896545,48.4188594607986,50.782730416516166,47.316890642034814,48.396205931905804,52.99516288596111,51.929239627601945,49.36564616414644,52.422304847700026,52.075423163766125,52.49283957326712,49.10237999744814,46.65328765568562,43.99084442968839,42.92450977725148,39.98049893638263,40.07876818703614,38.54142000362894,40.942101200409795,43.520801475937844,44.94421466691534,45.79156975382795,51.88741503802296,49.350492442150816,53.321597646135324,51.22854934079279,50.69872894060156,49.28784461804668,46.87677025853782,46.42064911159384,44.021051616788,40.44947508449507,41.77630706499669,43.73080949674029,46.58404425340577,45.90011430739657,50.91317147106048,48.746753559569754,52.215771154143674,49.817199421983204,48.84379360854723,44.465327976212954,45.88088708556209,41.808920132864245,44.49611968362722,42.616567078964145,45.42054624812476,44.58370907384698,43.63753684895492,43.16587118572168,41.00873545486975,41.081526334119765,37.09530084773733,38.79852961803058,35.57784889291557,33.053373685588184,35.46470107488826,31.6093379574979,30.803015495877816,29.625571887800987,27.35521298945953,28.875079319215338,26.143976799187158,29.080803320698287,26.435629431904978,31.604946608272307,33.06917197862607,30.272027547948646,29.182920041540328,24.464322582732702,24.32026154246651,24.857855915064235,23.519579170471534,26.4841518680253,26.570543113187533,28.344450532096303,32.08118503477477,28.67578382637912,32.86687959196933,31.524844615622495,35.00355801017494,29.24703872321207,26.99129051175246,22.65308299326698,21.90221050105146,20.39198426908868,23.946196805340545,22.344420126746435,26.529258144419977,28.907332891943078,27.947159950241677,31.585537266021365,33.03875803905418,30.346126015697237,32.44873716229707,32.95349488545275,32.904216066032085,35.261795190116146,37.09982992092295,41.474829408488915,43.10744646725596,43.56244592966866,42.593309668224684,39.500560435524605,39.009558283156885,38.34644743581874,36.165817637166086,32.75324132743116,35.088204913603846,29.945501598254683,34.07918793180314,31.658711048687575,26.462231782777145,27.984573634100833,26.360746868863174,24.008019448199878,22.155255894703384,24.82083601604682,25.625691730364423,30.8450797645456,34.14082451387377,37.01591931957717,40.00370099496162,39.9919651190685,44.85321366328346,41.757081065707936,42.501016925364056,38.588770457041704,36.68375849116484,37.76168324575452,37.93405389748621,35.088689180567414,38.202435806509904,38.24931051649752,40.769474754120736,36.0334838852091,36.74957726612428,34.756360021088376,34.0018535974731,32.178290394737175,30.75567638558349,31.733675803751222,31.763326614777224,28.476685317050723,31.25615854297304,29.654579590700042,31.632932009377406,34.10222379130003,35.380434445821685,31.624681285349034,30.46023174254131,34.61078210686775,32.89923910833354,27.400608726582977,31.485845757976218,36.1354446494155,31.154018313910193,30.402764364007698,34.28651945516556,34.18503404045108,30.093330696211005,31.987456330745417,29.51113916712109,35.39021156532943,30.505389957044173,32.44895348172423,36.576214408960624,39.27640384847428,43.28289320510692,43.861564244766896,45.4183630646438,43.76345185208076,46.1443315955228,44.299835230110055,46.359122625881334,44.59020051327672,39.03429944329999,41.25091530220523,42.30744135683328,37.939005409539874,36.30916814670585,38.52029376917867,36.60318651400169,32.87698019811361,32.363800209043085,31.741436920665663,35.7879213303926,39.022756512721976,40.20255951981804,43.33088833552758,47.159729871573354,45.31749825371751,40.71297497092133,43.65659866076661,45.68415405251035,41.13692393079289,39.493118622344305,43.10744228679814,42.25225896135392,38.50252358779895,42.22146719306682,44.006993584548546,40.48081702220227,39.93344702854689,43.25395175209386,40.79823643414656,43.040230552400324,41.61589317055999,43.57843881980232,42.246061436624316,36.925785180152985,38.82846836619788,39.11366602252929,36.17305183827693,33.65406995524504,37.91437087068973,35.89680780556539,30.888601559760303,32.01333827291932,35.376634512534935,32.7324114046566,28.99309734770767,25.56319535949954,26.40417309986884,22.98461336037609,26.94276230299907,23.340610590736304,25.74391832419942,24.971029638322815,20.894316553418452,20.724548769077856,20.372643856629438,21.087191272754325,25.49796882513009,24.377040035991712,27.345932726771853,25.63389957445147,28.066206967139063,33.09516243494857,35.82118298739449,37.12997766581858,32.076082199941,33.19291739991985,36.867529217706526,33.769091149070285,30.76615122917238,34.679546125707915,37.41258294502525,38.92291915557624,40.03486409954767,41.22106917735189],[28.860697473882496,26.194106070732214,24.46769645391514,19.455371183486342,19.88978942733201,24.066219721616573,23.83436022096336,28.27230912978596,28.142181993345016,26.836329931995394,30.0436927711731,33.52120531150757,30.248632686587634,28.23635276287287,33.11368742904985,33.82519066352489,29.909262196781448,32.85731981916249,32.08607267180914,34.35459279523207,36.16099208889105,39.49178412649286,37.86059891636989,35.37746617892785,33.241390765643516,31.00643684103766,30.018698909848634,28.46860147037661,31.888561248908655,33.81363587870136,38.164083730566674,38.52396732642864,42.81470270799628,44.93157154159852,41.60941083782842,38.26802857890125,37.758191804636105,35.17635751526452,33.02076524847004,37.33845930269944,33.726107870196564,35.39550805355367,38.85474051800404,36.329657138960094,37.122940434857966,34.257440269363514,37.5560929973449,38.312668584187016,33.05323018386528,34.8374150951743,39.329772008967545,39.33909426262242,42.739743840269185,38.547099242894994,44.056326699393395,46.48495287520314,42.92708768877728,43.82822620234567,48.48238810479033,47.531740313253785,44.80548047363443,47.74943113366845,47.313105737911776,47.82202796792901,44.475982886613544,41.92374307686181,39.27932439171704,38.130433749112676,35.27515305733779,35.36505080745249,33.92138298240647,36.460352314917436,38.87992685931341,40.28385735317042,41.01263917827935,47.10469224143384,44.54120533759468,48.489911835497104,46.41425536217741,45.95052112394398,44.55947787384454,42.271397950773625,41.87569005553618,39.62432472916186,35.960437703293366,37.12846203796416,39.000954721709924,41.82583172483708,41.08086982464705,46.07572962524113,43.90863323497959,47.40425476389679,45.02694921346369,44.07914531079921,39.73756851627683,41.24750013996056,37.22800124799542,39.856451844989444,38.07349044693432,41.06305498135702,40.00029184730082,39.290722469660295,38.636063554795165,36.755378999458365,36.95244346855574,33.11059333922085,35.155715728299036,32.16297044325409,29.758541839250015,31.85539824197308,27.958712878668226,26.68441187681793,25.376600091301217,22.851054643375257,24.170023375347,21.342071977813113,24.240066825165865,21.6365202995611,26.901965233252284,28.271304407218523,25.52798941660162,24.449123183237734,19.706879673088327,19.627080351973046,20.415015892513782,19.10439242230863,22.632291340094927,22.632596348947427,24.731250001706375,28.348176982769683,25.489114338206335,29.820947074518198,28.307490499583093,31.406723210040283,25.595914992881646,22.9731327437031,19.12983376785396,17.678853654941364,15.798624534026786,19.305817232488995,17.752998843213003,22.124536113671528,24.24738416493056,23.215702302259896,26.90996066609766,28.26150692962765,25.577395405648044,27.75210742468653,28.437953124280977,28.50262654195491,31.135810261492207,33.0131917300299,37.49797076376388,39.33340898668209,39.466218636669645,38.34142454191443,35.0953096248507,34.70503389790943,33.79322254185295,31.826170609882368,28.328558953901755,30.43574511836856,25.358809690646684,29.565663633168732,27.466227599851052,22.424909499115728,24.345528575383295,23.203579507879258,20.996267430244362,18.54846685865604,21.140556092286744,21.462214231432625,26.668298667004386,29.85180058585578,32.578269901212636,35.58678203717827,35.38027736253345,40.33355047687757,37.27827212681883,38.18165241985652,34.39627179750894,32.579996562577165,33.97067984455961,34.33252257604151,31.309513917610285,34.23700242239486,34.01960775953112,36.78152072011879,32.20861589120069,33.19112028614515,31.52939870104923,30.478098900619496,29.04993906961372,27.70229577605275,28.906363636103926,29.35415105006634,25.91402170869935,28.900472704401935,27.55351077981071,29.022265788154346,32.02565401127359,32.90767741154634,28.99150065872107,28.559210821639304,32.76773172885171,30.71809504871443,25.669568063189896,30.126607542888223,34.430091606846844,29.422209234427882,29.218938674781384,33.19625359508576,32.65708559668976,28.9095623863716,31.418754492837117,29.0392000233398,34.991500264810426,30.67611971228308,32.00784900800925,36.155934514307646,39.00716694261171,43.24205401024279,43.66199611711668,44.657761528633365,42.75133390964932,44.87987228712706,42.58065067662456,44.87059003948827,43.53696970006272,37.6744574985381,39.60639213508901,41.17917867496557,36.9893185031355,34.89891626436185,37.02158723874122,35.83925695068877,32.0954426112864,30.75817630499003,30.12990744140859,33.442938501485585,36.87112510926499,38.11300948883954,40.89198823371934,44.822304613916415,42.55801066114248,38.14002550037226,41.4248729876617,43.099238599877154,38.37506029226552,37.207195243421864,40.836028872145526,39.832896570850394,36.34850023874293,40.402760091191844,42.09346232557143,38.55364164940593,38.4615503945042,41.92195906734836,39.569477313060105,41.64614063851073,39.904324810079125,42.15601008824617,41.23085010094587,35.672531428360585,37.49037277136014,38.32852599413624,35.47784906937841,32.611838896892976,37.26425523887502,35.80674046638921,30.53493016679499,31.384595555543346,35.32616822705205,33.146688612108335,29.243667800585936,25.617620477475352,27.363676199167802,23.999133618787578,27.696433550643405,23.52138273803997,25.12650627391256,23.770703091458937,20.338345749219783,19.998046133051734,20.233737841856,20.22746099355572,24.242293593682806,22.139881662338688,24.772247816351566,22.45567014280263,25.309427935451787,30.035948673082075,33.030829465063235,33.9056122337493,28.913816235058377,30.616246007673954,34.08299874506244,30.500996330564195,28.091947768499367,32.35190570432954,34.87919668548805,36.40238300059942,37.616956891573665,38.86514874229857],[26.27140852027007,23.18488826932178,20.72170848694599,16.664570199241147,16.2375668294609,21.54387607785824,21.757122854879185,26.092154272719963,26.987807422228556,26.33620776700234,29.902774034834785,32.80987848013175,29.659461207348706,28.560832839475484,33.43444282803343,33.70320070347664,30.06024776415669,33.45106252681845,33.37303665473671,34.97583425310014,37.215867659166236,40.246153498784246,38.97129716541878,36.8060535529471,34.12300177829368,32.19995806815313,30.447342356312085,28.74298792873697,31.858433174844585,33.22349267227887,38.37447412026195,37.79890843368422,42.25240195675051,44.646626018954045,41.06329349395403,38.047181718919745,36.76803205780443,34.67728274268385,32.41398512286785,36.32265372721843,33.23903621787154,35.656020617455034,38.97114195569629,36.61141340820123,37.95566627230132,35.23167449368761,38.31409961282807,38.568709995795146,33.11504574253482,34.54774542450219,38.78981458107487,38.24436861336312,41.82738194128305,37.70628544755118,42.921458854357105,45.86571122024632,42.778605042721026,43.37386918839249,48.01073222657147,47.59262875787133,45.12700120488937,48.14657272313523,47.639684631625435,48.7653763835518,45.331977061838515,42.39940929306872,40.509429244966356,39.05568822650422,36.89122118470866,36.78244415145968,35.84694527769455,38.82088171870134,40.639754940298246,42.05133726738251,42.071815763414094,48.06061461139563,45.041925795108185,48.7029617949782,46.274296171655735,45.57740624822317,43.5928075017929,41.0150407484127,39.99955154900099,37.58492929173915,34.3541697552391,35.7465198686531,38.306150748679634,40.79370002526207,40.902656979169066,45.80019891444295,44.156217497189594,48.02832019251368,45.580078613603725,44.292101231649106,39.906296211534304,41.68612755592494,37.63577855593971,39.42348538764821,37.219218910694636,39.559085802961675,38.529465221736864,36.92783900788149,36.52023155657273,33.825661686459846,33.62837687553361,29.522646142527325,30.948522672651656,27.63575465424311,25.13577899934372,27.72587360371943,24.122155159067773,23.577322173374693,23.04420852975675,20.989373448220633,23.52157672151597,21.191046792507567,24.643000645813526,22.713758162176074,28.55916497276142,29.364981270878683,26.978395286386668,25.399784878327452,20.796081380987857,19.724584129658425,19.56022777230453,17.13461383640724,19.53523691370539,19.167157228702607,20.566803363512573,24.317101569071703,20.724624768564972,24.947563547134997,23.885307979748166,27.33144692458006,21.729504751897885,19.629881204549836,14.907389923619663,15.003643301778725,14.518525001342395,18.36348194298583,18.438109758547515,22.947075125416717,24.89743237358896,23.14460680846534,26.470086921348944,27.638141795790727,24.776671601317666,26.47635570077581,26.411212038752982,26.601067666861,28.467894614885335,30.87981006734641,34.89451242894291,37.08562152407214,37.70181364378194,36.34000160114672,33.37137466001175,32.305909919112175,31.996696970598443,29.13919525754091,25.871968442303523,28.898189195336137,23.95367410843002,28.0874065899178,25.540419280306477,20.860477790793475,21.653295268136343,20.673948586115547,17.596842618985654,15.741016927268934,17.90176853152426,18.988459962577114,24.10492968846359,27.308371685297082,30.290634562553542,33.05677704624716,33.50197598509723,38.098003393239146,35.130473974262635,35.52527377219022,31.767166604896932,29.329543093074776,30.437405286377135,30.828364234761736,28.19002904814173,31.90321226961124,32.4356261695702,35.11318516388141,31.0922373251142,31.22767594050322,29.24607340866598,27.848297940030683,25.68998765731788,23.792973820577334,24.47314073544214,24.3648673549646,20.733214338544887,23.4247890383478,21.835450165968435,23.674549284437646,26.366504595837938,27.627031838025722,23.88773191366051,22.99749725731835,27.289756529078463,25.711037823410162,20.511207978103947,24.787739106254122,29.407790162558648,24.881940612793546,24.52452968751634,28.51541954448698,28.49278534893581,24.990522402168494,27.192451219650902,24.461288025163626,30.26932144501154,25.521228270417332,26.626121668389786,30.819441150418083,33.34726424438672,37.731597167057004,37.892636103296056,38.83577505876103,36.84064824465447,38.9505602302749,36.76731739885235,38.92782413441128,37.50663740761794,31.716177556110633,33.70242695137949,35.15648498874513,30.928476303374847,28.924573539411316,31.151120862410124,29.850671852180877,26.056477203530175,24.96979933163126,24.209069701418503,27.886265394380324,31.194677109215526,32.45336970795642,35.448542889157814,39.39553350903,37.444574666717486,32.87331347089866,36.09498202745214,38.09950250494935,33.551817493816955,32.128497637066445,35.9824495497569,35.29479783076024,31.68599981455945,35.4685715815252,37.48345778670493,34.30871205831877,33.78591765012354,37.03850247254423,34.439559105912515,36.28508279669693,34.45855827065378,36.46186999978376,35.64135786736416,30.16308515413618,31.707649082207727,32.48647797544841,29.75392607021373,26.725723126886187,31.25063777467566,29.922809302074228,24.662090812204784,25.334042056703893,29.3240867299386,27.32695212551872,23.421556142308017,19.946618870575453,21.94143989209433,18.926582136662315,22.70968801498857,18.688550821068237,19.975448754375012,19.24578400131757,15.898940867183141,14.862326018042872,14.74512206995651,14.399609240267724,18.418290659035932,16.81617515055358,19.454170424418827,17.923131427072935,20.823785168784053,25.615978743189157,28.478970348116246,29.955758077393952,25.073051395504237,26.496053398796604,30.33566273072792,27.37785662536752,24.846043924792585,28.817111343816467,31.790490419131693,33.42256254681314,34.73408612532034,35.80869976681436],[30.692820992826174,27.69873179676738,25.41657348434647,21.38423075480894,21.080856524873216,26.354068092800016,26.426643152990447,30.75194357516521,31.459974848225105,30.45969984192012,33.92111249173649,37.03126353917051,33.5887347648756,32.24734642168196,37.03113395586261,37.32554153122212,33.37603658852292,36.36890905567087,35.646580866139125,37.32431894431946,39.09636824554863,41.98525893472791,40.34615779843143,37.80690717044943,35.53153048471086,33.89002790036415,32.57437668693115,31.379980271148085,34.87529531066175,36.680094695017836,41.6838141576938,41.498505649579954,45.9649148673647,48.05078902691674,44.4179959982295,41.12766489021711,40.1405585492442,37.446827926551805,34.94170564664625,38.517526708713795,35.136351391254436,37.60469483067953,40.66980559588673,37.93532226984747,38.78115009970893,35.69074392593682,38.58659769085554,39.427282441265156,34.05745076558455,35.100896387850355,39.70672268143477,39.44173922630099,43.14969062031684,39.355227005035836,44.82921968526947,47.36746607277344,44.263536638342686,45.395939634593624,49.90242278200696,49.019457043386595,46.83626068417112,50.15073528129342,49.977066675711924,50.6904268031925,47.1076042110727,44.56417380142206,42.58214649360607,41.572758558178556,39.19732194818403,39.5120084333208,38.312186086924584,41.10451459497216,43.19359973610385,44.28702586977755,44.7530373785241,50.63292331566445,47.605808800172596,51.49343338713688,49.02537216090198,48.11704044483517,46.445116265592475,43.64018204350578,43.00099127691646,40.268719865444666,36.938333342956,38.6722372178041,40.9795659803827,43.91310823801768,43.71075549688358,48.90864256976236,47.171785987291905,50.971867573435205,48.740710413769776,47.73597964290946,43.45984072211506,45.2807072005872,41.311122420573,43.33135190277744,41.342819766765714,43.96034442043705,42.6328527785336,41.26590398151928,40.498973804312875,37.98716089517549,37.39820069417675,33.566725305799494,34.914270786332025,31.455274278648275,29.31188238926632,32.04331646812975,28.66701915239119,27.85898904442817,27.46985685572877,25.032212936181267,27.27588261293158,24.527565427676777,27.572031764734206,25.015635626430957,30.5603299612508,32.03396906628147,29.657369160134703,28.54116262423765,23.805841672780524,23.315663072846938,23.703880122549126,21.28117279318469,24.184776355258563,23.491572081434512,24.766921214426667,28.11031404876183,24.306123655364352,28.24603506653235,26.72007452402879,30.523527167299914,24.806332089085245,23.126860806152386,18.52341355289319,18.382482705857573,17.584976036724626,21.098405061980824,20.06173527319517,24.11234370918321,26.740303319727687,25.52275562182043,28.842217299450773,30.58617846529505,27.95771402972738,30.155771065724903,30.407193802436662,30.911433777447247,32.99623487217349,35.49370768512187,39.56701504907156,41.836126811191065,42.29653725639985,40.84471906478545,37.718227529528015,36.68588644520125,36.06339780328261,33.22036977142098,29.499938527070444,32.14676594569368,26.798139289732777,30.691424901161778,27.72212009111118,22.49904757913137,23.404117334329996,21.54026690801659,18.979036120718128,17.634906935413117,20.313465246696296,21.709203681657527,26.855161701228663,30.325548290121624,33.48906940181495,36.56279830733591,37.09837480263968,41.573777463200074,38.242668563633515,38.70860360442137,34.533847950812685,32.750668001753795,33.27046823605221,33.198591138717035,30.534716489139957,33.88215929486253,34.38497392009514,36.649961507306465,32.04678418480705,32.25777912990583,30.003689058175404,29.303431180159173,27.137278456917365,25.66610619364225,26.568121708389345,26.536026325333925,23.537789414999317,26.466790073826115,25.24869272940089,27.57674068684397,30.165379198349402,31.831731123152903,28.236327641519875,27.060402922548118,31.407086692584613,30.187647381340888,24.84512088224192,28.87480917639152,33.75728475177745,29.381417324002186,28.74467267561019,32.68779587396787,32.94857916515781,29.281577792336957,31.10916972991505,28.258129968858853,34.00122905960506,28.62544583225609,30.137726577868833,34.34558749180682,36.52505227797073,40.834730321290515,40.894884253675265,42.17822522864837,40.17663932252206,42.28969911761982,40.316867085438204,42.068531099328595,40.48086136719547,34.98814268506469,36.86651120099472,37.761080489262326,33.569102280256296,31.787860698061127,33.67372175652835,31.873522686383776,28.33936494703523,27.41893000237853,27.327500211835105,31.282343598400786,34.55864342719091,36.17844391668855,39.314764235157526,43.39018369489742,41.60336396824655,36.98904538404809,40.28804700892839,42.495937888383835,38.042710289380636,36.540605015626284,40.50078277555415,39.944816194293686,36.269035114999475,39.87006688565578,42.008431565133876,38.90875436061859,38.14080932651892,41.273254833830876,38.54341045929987,40.339718302060994,38.55136270867663,40.24273544066215,39.37194248148043,34.080211702006224,35.37636910567157,35.83413808215863,33.18815197542206,30.156035422664228,34.17413602173874,32.62145675525568,27.630238301638336,28.070029025174208,31.556473200250988,29.401024642403556,25.70349100190539,22.705360810003768,23.716510116471035,20.950769822284553,25.252352341848095,21.844213369514105,23.709029626484117,23.49611557357014,19.715814676374322,18.64150255577683,17.795680933946002,17.76717045250304,22.056551195972926,21.137536464771888,23.57406972547453,22.44749205146258,25.535041841647963,30.266415188071004,33.13188216188321,34.71202872850313,29.883414026117247,31.271630915513562,35.16468060631158,32.23657440544993,29.66776319710707,33.570973177259404,36.56526441109155,38.179541915201554,39.43016392172161,40.47225235739188],[33.95334732917004,31.158282045276128,29.087574616479877,24.32565054342219,24.031940596957483,28.627334768052787,28.036621076596134,32.30018365892869,32.33515612899473,30.576941121445667,33.734679539361444,37.2340722940579,33.40780092284207,31.523778922733836,36.10543946348953,36.575937821250676,32.291824063357176,34.71829242508254,33.2416618435584,35.27373980726845,36.53587535364176,39.505263600478855,37.51465889708499,34.6646065365445,32.90791247489027,31.227927653560446,30.58778586593402,29.782396898066146,33.62486077263079,36.01939762083602,40.44835797762599,41.051751297246426,45.40549127492725,47.07236120316407,43.57597794559163,39.94471919935676,39.61685628895535,36.29050384380369,33.76923741658036,37.46769071138738,33.628391980306105,35.57069590451263,38.603298457154565,35.65501478406844,35.960820325642175,32.7082872445724,35.69669873098548,37.02575478536873,31.88082129217138,33.11604859548281,37.941931932006874,38.194457019050546,41.742380203747445,37.99700138142381,43.73233564502731,45.73588398422953,42.2880782861174,43.81018062328223,48.25528639488397,46.84264445908289,44.583945916807714,47.94471962546143,47.97094456846707,48.11516960504607,44.53964263871785,42.42476399304091,39.99387389361715,39.41645676153414,36.62471038712723,37.34387745482115,35.78100622113928,38.27218289605652,40.72048953898452,41.546295839403236,42.61610283965364,48.41589591117008,45.63965663570678,49.794682903962276,47.5281037020467,46.667917947517054,45.56285605116598,42.88905740386414,42.888061503204426,40.185130396842375,36.49947233676994,38.185554234910825,39.86756713642966,43.23231819085334,42.31080579719759,47.70763434928606,45.63523217527941,49.16961155121644,47.16116435428274,46.55956330892524,42.450806454137,44.21128217483428,40.39945327198199,42.938384329396065,41.39707955494232,44.64519725417576,42.95408696921373,42.38518225393695,41.13846974390767,39.38826335219784,38.88871652807285,35.47030310979833,37.370169122713875,34.18955768919071,32.35738237684764,34.66219614252224,31.21567980511796,29.559596985713835,28.783810148708884,25.74418754518124,27.064357596943367,23.809071216067814,26.195215001013157,22.96906316773522,27.910094591634735,30.060520904846527,27.62580273195243,27.128406783715164,22.390377981302755,22.79879439422077,24.11926705031968,22.23384505118229,26.290527371631455,25.54282628538121,27.342912755360782,30.32534565996067,27.2366080875065,31.211139778450125,29.08489494128886,32.5557771398008,26.653422754384664,24.640517921314196,20.9474604041621,19.41961237683093,17.5675072422846,20.551692292527854,18.028499146472303,21.64831061342479,24.60433159890017,24.114520803837166,27.586576750248987,29.705698173361252,27.373591137329313,30.14546703554696,31.094622894033368,31.807012394623595,34.585059580479545,36.88035628448314,41.288678467223555,43.5617314898927,43.438455466006914,41.94670491011796,38.4878641128071,37.90160961848381,36.600017521400545,34.403155647675305,30.26429215721415,32.00559660710494,26.45791891857955,30.238328149166716,27.542965780369414,22.005077624644155,23.920765897784868,21.897707645060326,20.324965435896328,18.4554245844297,21.516236447194615,22.26495982237936,27.38815310218336,30.87901610594018,33.86884805884757,37.251550977031876,37.33798844131644,41.9778416512666,38.429100720423975,39.34207372188183,35.03171999076446,34.045264891549365,34.64138819098699,34.449209753879586,31.42682303806857,33.92835867437775,33.76143458551675,35.98955875373472,30.862360860685794,31.851132915537736,29.93070413601271,29.619030030627208,28.240619012376037,27.401946569962156,28.89542594356093,29.56238737590104,26.8512651206687,30.197086788691568,29.458655040330942,31.401882520151304,34.52484138100513,35.866219767702816,32.10397118184929,31.587830676819387,35.97190255483191,34.39582182568744,29.366709907101427,33.684662674299446,38.27481543111798,33.66455265024369,33.374692508305806,37.369492601201244,37.165791823022126,33.52321254803175,35.78556276210961,33.14377547326958,39.004097793939714,34.01829502841019,35.39649330777428,39.60553476863683,41.94262316154043,46.290898138189775,46.353251090965934,47.41466400256917,45.28065549465731,47.223686214640274,44.94024952815068,46.75537621553284,45.468126617726504,39.83560625856743,41.42474493898901,42.52916820598839,38.51865997612965,36.43949972303083,38.047714926183005,36.67019211572255,33.28016883403841,31.658924136681534,31.90633449962542,35.21338433112769,38.691887731086965,40.50991332851107,43.33129195060348,47.540245683150225,45.33523826648222,40.916109700298186,44.54750368393797,46.40954837363791,41.761839882091174,40.7087375317456,44.61520632495723,43.83795676571809,40.38064414546512,44.30040704833914,46.2514402325865,42.9680555580482,42.64737386882705,45.94975179617001,43.368423953966904,45.162498090882906,43.20627656678217,45.117029129915146,44.454365456457396,39.012390444771675,40.30443517601458,41.06267886220412,38.443220565446424,35.25196107468252,39.428639756398454,38.11161484824417,33.03543783060048,33.29964803992952,36.96973963451563,34.984871754034074,31.270454101234915,28.215371907368805,29.376789466639355,26.535986489729975,30.747310245293644,27.0772828636605,28.778072361316234,28.01201247460309,24.451226652896302,23.61905978184437,23.164368104183986,22.912277982942,27.01652182730379,25.35268226305391,27.48169009039395,25.66923290661787,29.1337954357131,33.603845239288205,36.74606592328051,37.74365549846515,32.92481843945857,34.86453235958008,38.44857213126661,34.866036272814945,32.76767891458963,37.03167973872374,39.6576405830164,41.21144254150477,42.44475767703807,43.601214183335124],[30.631794249806088,27.581110112691764,24.849898536675504,20.352204421130153,18.930607827453798,23.89446454163255,23.01529319327642,27.073040350350098,27.654874499077067,25.971604707569256,29.347605653181226,32.4982912548057,28.508668155676496,27.282122615672325,31.792311458340308,31.889004059215566,27.709092113411934,30.449518089035966,29.565452432377278,31.105182795906085,32.83668542046942,35.69471636011938,34.10018529369633,31.646192310023725,29.27006292530361,27.641402719982317,26.301379695905645,25.25156321572429,28.8919001591092,30.950704262075554,35.94890078101107,35.957692298387066,40.43679347684121,42.24710264414859,38.56369649832979,35.12790880833143,34.322807838993185,31.325809763788264,28.785593132372863,32.46083958392173,28.96759277880683,31.316639491759652,34.42190034244731,31.743000839706323,32.692398928139,29.750266315217505,32.79862252255091,33.42472559451196,28.054797875146622,29.43264066290452,33.92772624466586,33.754807347028425,37.32576593991796,33.363204188321234,38.882310984888875,41.36402725134478,38.12186589577384,39.21193653258008,43.748028969455106,42.857829529000576,40.56877454956692,43.85914609177243,43.7130165504107,44.41413710468655,40.820279577053135,38.2834163018709,36.386604214355856,35.46852986408767,33.248299103680665,33.78475421735242,32.68177153975751,35.62678221875044,37.49254848934269,38.34648362664179,38.77547814443094,44.53731258421515,41.417236070167185,45.35405659541686,42.85954310699206,41.920452957666654,40.39967162971585,37.64734610907592,37.26845868116211,34.59596357322127,31.071476537132998,32.755014877260706,34.854158633154,37.96238133004519,37.573925057599304,42.89523888391775,41.17129093349668,45.00369233686208,42.93981810102436,42.11045885790002,37.98989187482507,40.018549332131144,36.228000160499896,38.14748196523362,36.41639297859837,39.417637885676484,37.5319349629649,36.61729651071298,35.34242984901558,33.342686828202766,32.70578302950205,29.269207170648905,31.1398849243374,27.995000856355308,26.270754143442492,28.542579182179107,25.277074182121396,23.54008725389722,23.15875078996732,20.09208073131161,22.01758449026881,18.94759352626916,21.699490339293515,18.96962107236474,24.53036978635253,26.154873189462315,24.01852706687554,23.16643591461013,18.481659963943283,18.28247040390097,19.280229485793157,16.627711794810153,20.665627693439337,19.509198348979837,21.20815968972439,24.080590281344595,21.130990429069783,25.172192087587433,23.09064640097233,26.40275910178073,20.50248634738633,18.424159203614543,14.755955440394546,13.28049601413243,11.87501085683772,15.106290594084683,13.783994658235734,17.87649253483512,20.457289697690047,19.31732563661258,22.65009828462741,24.5687755693319,22.09375395177567,24.672812057839174,25.331820261929188,26.284437995482886,28.8634349398427,31.540046944386614,35.742864484175136,38.42449821700142,38.29692175881717,36.506902015648336,33.07622400327006,32.15374729809228,30.978345996178973,28.408087166131295,24.26737754559013,26.392422852407115,20.89960985246872,24.777409009618733,22.06067044203116,16.784766310553618,18.42933485653055,17.03464287179725,14.98458341234891,12.706488482931208,15.55842449438405,16.304385317167323,21.488372913487236,24.942529678993733,27.991084083783353,31.27178328663388,31.59314626774165,36.121981867301166,32.65119180260427,33.397668093185445,29.19660088423229,27.89315898426271,28.63468175948461,28.665559547887078,25.66147552034423,28.54138644631028,28.610458738505113,31.096111039378158,26.494924885361105,27.179768537481113,25.378816091605685,24.454778466476824,22.99507535519072,21.863999479266763,23.30605937785044,24.10684405691961,21.13754244401066,24.549933873321123,23.99007879594814,25.611545354843784,29.07582852370033,30.23373861734568,26.467473766887608,26.441225184772403,30.856673914133175,29.255672244210672,24.694327923694107,29.158574260261908,33.51852580720776,29.239658506300156,29.37287729529735,33.379825129641986,33.06778194782018,29.93486849175365,32.52481303618341,29.837396419099314,35.57740942227756,30.961424946778767,31.653575477529465,35.83316632789665,38.11090508013182,42.69210104963291,42.483475728250454,42.99133103388358,40.60064271652319,42.28336335328059,39.64982911792906,41.60947195440973,40.69653679390919,34.85856293873135,36.18872011851914,37.7296582855844,33.90265481916369,31.44082940909093,33.00945929970576,32.30968790814096,28.90743374068773,26.60776011167448,26.793211608753968,29.5181026872965,33.10199817634462,34.982610452091755,37.564559189947815,41.85490681049444,39.43573542841196,35.1392190249834,39.04000337729142,40.739494265684314,36.059468883681156,35.332958288840594,39.3430176027681,38.615874379783094,35.377200022996455,39.4085294205721,41.432994060609126,38.37898290428993,38.23629061580722,41.512033144214385,38.92096073444365,40.41736147243484,38.14035637770023,40.16659915672789,39.943847263552904,34.39541473064137,35.43897823215451,36.67506739082097,34.237043978461585,30.68449275774427,35.103544638414476,34.39199147249127,29.163258865955342,29.06783669953511,33.25845032029537,31.820092056445528,28.019063259225522,24.93555891946448,27.001161594600617,24.43152085350023,28.349066706339144,24.361667764943622,25.15920183062128,24.231811200309863,21.4095038909862,20.10410485854879,19.990761520652654,18.90472508409466,22.47147318965075,20.165908780853133,21.832719947991695,19.897688323210904,23.82532746911428,27.931702395453293,31.233090843536026,32.14562484204927,27.518257419126783,29.852022277507945,33.40027153581172,29.76274713294847,28.207819676140097,32.55890250100534,35.21222083768887,36.82224177522131,38.18917666917666,39.2873558154201],[31.95866364954566,28.738010671748857,25.70481169442317,21.839253893393035,20.02828030103241,25.597545161502975,24.949736220927672,28.89708876538456,29.986763030961864,28.539514062805083,32.03349809459009,34.93239983943677,30.90228785288713,30.091874373858126,34.510605683684034,34.35832972756186,30.218455378554513,32.96124980678434,32.125095980836996,33.270079991467945,34.958379870384874,37.49507971781052,35.908523301337546,33.44110655449321,31.0042422574796,29.796947404389456,28.262119472777822,27.462842386405555,31.090518930018206,33.03735690319578,38.401564546357314,38.058736238897374,42.61508119405529,44.39891287778324,40.54230051746179,37.172420859517345,36.05796537942918,33.021746656600584,30.274567436636797,33.388349335662866,30.095055239565728,32.97245209765801,35.77389082351872,32.97564351052,33.949730679410294,30.879756142746437,33.61495596752461,34.29565088288657,28.899043838748113,29.725640936010038,34.268330319592295,33.89871156004856,37.669408201964686,34.017991836556874,39.47562228021979,42.01862480086991,39.11236781323519,40.3559062948581,44.762581545216065,43.92275099358463,42.01816249057349,45.53603367838094,45.56443059855215,46.394264299517275,42.669658870563126,40.159198746253914,38.70910634119657,37.88716886735987,35.984809542043166,36.64540094057198,35.695498556069346,38.75761450513463,40.42138202235894,41.0866742109212,41.35017396056085,46.94024355787978,43.545542517778394,47.416238334723666,44.68162029435513,43.45331733655958,41.75378464009022,38.66626132612163,38.1230819750999,35.12993681573584,31.870348542158162,33.93645405018614,36.31546818497104,39.47012695984191,39.44779317592627,44.8607712838424,43.426223462272404,47.426353760693665,45.463411957249726,44.59952343492972,40.544046602177325,42.74298288792391,39.0021378553221,40.53806858549574,38.684053479855876,41.42243657887427,39.39173968297209,38.0512193694948,36.71549162018575,34.30578435722214,33.12795335927871,29.731918821603475,31.104618081568127,27.650518882641336,26.145104311616787,28.83677939715658,25.965806215062084,24.57101512965097,24.80998426339127,21.88141676097186,24.376109767257812,21.448568423360456,24.242052388959202,21.62343112740355,27.22646604932488,28.881973563035423,26.989601591581067,26.111952535667072,21.52702134422496,21.067189087219244,21.75663380539059,18.495128176658977,21.98826319264027,20.389081476179467,21.47283785704201,24.095360459585805,20.488219145234844,24.20488486224263,22.081613751251226,25.906211146234277,20.113933818221014,18.79784060920719,14.632990599291366,14.230597042555718,13.737871973943301,16.821242958246422,15.943010948665583,19.63602558566997,22.497512514649333,21.25951784823799,24.24892727521241,26.397686328618633,24.00482008946821,26.537698510429063,26.88575086305356,28.102195520576206,30.28426346003278,33.32781196620329,37.234930642395035,40.16711543799251,40.25470821057483,38.277996343644986,34.95676204576751,33.62642462162074,32.660607826247826,29.528842695159174,25.28850466728878,27.76484708187378,22.179423556566643,25.75764287191494,22.429225287688222,17.10161208326905,17.894160284995674,15.89787017469304,13.565358507489666,12.28124266959464,15.172924284894227,16.784399750500494,21.82003494322352,25.44562343196643,28.77649688686095,32.072436803490135,32.904931471773295,37.06629153400278,33.42868050075172,33.86197264164528,29.407946541596562,28.151667619937545,28.24257278014177,27.942954381661647,25.216549012288848,28.38501726028903,28.98531899859229,31.084698915706813,26.492457314284007,26.590474407742676,24.343135234504118,23.695089487135554,21.673767239108287,20.465899193967722,21.70433980452235,22.188226127883436,19.587520556797916,22.997780040337275,22.600410338669725,24.811673738679506,28.00878933175459,29.692524178181042,26.16934640902965,25.67741882704453,30.16440485317779,29.121482958229944,24.432374023614813,28.592435705528278,33.28598510976716,29.446129409680236,29.323953040327698,33.28360083294676,33.461190583045486,30.405055731426046,32.57794265495494,29.62414070100712,35.19376398499711,29.969156570699685,30.724989392257857,34.916753137475446,36.74226282715861,41.37193999324631,40.9057841606306,41.55994083273896,39.086882683114055,40.727852291185265,38.288596072729874,39.8757166809852,38.830383871894966,33.242984712777975,34.491483743580226,35.58566397703962,31.79246257394858,29.50220706571593,30.86250159184231,29.801159366400874,26.57517852610532,24.447080559204178,25.078398723640177,28.180979320278148,31.666985971415464,33.83452405712528,36.633180884654415,41.02346511389785,38.916442666965764,34.51142794846462,38.43326509492125,40.47050729424936,35.986296334070914,35.06208470112654,39.27638802769533,38.840892464363314,35.5030860128369,39.231937283012236,41.53492070947992,38.77435287030109,38.21710836199449,41.273132228195784,38.452801039290655,39.746769647613235,37.42599786974658,39.08054693072333,38.929041449051,33.57057644885259,34.23872402879988,35.256006781354024,32.98257542489066,29.296853912822456,33.28014850357472,32.57251441263068,27.54889718539419,27.11111261480093,31.02313721886995,29.679184480180556,26.038818862193338,23.416221820876917,25.059394552547722,22.949717473844157,27.17876681970376,23.690164064144348,24.580597962712304,24.35928948821804,21.391079326741202,19.63332688878858,18.86192450124063,17.6699223289861,21.3255740921687,19.795028530084714,21.258971696131333,20.174614852874335,24.22478442728384,28.28286935822014,31.480360474360726,32.84264481713942,28.360831563638275,30.4776975164575,34.26990049440322,31.07216924276606,29.41878942032244,33.51897087791936,36.44361762422215,38.10090783395517,39.483471873534015,40.45532759144099],[35.658902373762906,32.515600316304884,29.613263235230473,25.526629061640165,23.82433683480047,29.174255284872064,28.271624836564047,32.172611537653964,32.98072098159419,31.125317078148992,34.45611783467543,37.54850128392457,33.235219186735065,32.17581965586383,36.424661414576605,36.30229854854931,31.90591176458339,34.191353374504395,32.72486243605011,33.94591040842084,35.14742596795652,37.54439078739931,35.6228732906248,32.83087566219718,30.833930026925337,29.884792838371673,28.837739525944635,28.544522595691266,32.481203989739306,34.86380655042466,39.95990294297738,40.06992793848471,44.58097039045868,46.01679071107952,42.17120955319459,38.54766875090137,37.80795711263304,34.198789084785815,31.29620348527481,34.13837135725066,30.547181445793573,33.31828327514387,35.878536290766164,32.76847896140527,33.23218378013058,29.86938343196808,32.44903634507938,33.681462559792806,28.459251170653815,29.01631522250036,33.850525044189176,33.83615462895325,37.62324362131904,34.26506977748445,39.93459697151482,42.01710963905063,39.03771321431212,40.77374793131588,45.033957188870964,43.72611640689415,42.04054635037698,45.77825332652303,46.11153313204921,46.51267768703627,42.691001617333406,40.58740609369986,39.023221590930305,38.644772434715826,36.56023961932657,37.637417901416214,36.45782415587494,39.33245827415833,41.20257175809067,41.53339611844269,42.2266885481829,47.65867568504193,44.30597004601954,48.377025653989215,45.66075140218344,44.28048396003406,42.962663491404435,39.761236747855875,39.672439105139276,36.487576386861285,33.09574698128171,35.377082088739556,37.38565678825752,40.9526432509843,40.536144240757565,46.18616262267969,44.63578745011014,48.51487421310039,46.790266854858785,46.234426689019365,42.33593246658491,44.56587443907821,40.9564028027347,42.726756271410665,41.146120409289885,44.221003872696436,41.87372040216139,40.914420399466955,39.198492868656466,37.15217441942397,35.749294185332786,32.704824094903216,34.19001013892641,30.787185248652733,29.614525139694912,32.21678520164186,29.483502778480133,27.698955524400812,27.908104768323533,24.625572832523172,26.660526283253525,23.388181791365287,25.67839897772167,22.519887756867547,27.66181011908993,29.935502619703946,28.108291355816167,27.712940475310297,23.134984695662915,23.256899805025288,24.49672269574341,21.433489038009647,25.465142873267787,23.715821499985037,24.879649241476226,27.105502934802097,23.697448621259174,27.171759203213004,24.600903533138773,28.443330921362303,22.661280290666845,21.535070256680445,17.8974866271886,16.927865383159226,15.947403144310801,18.506136618752908,16.469880894610245,19.52595571846613,22.941221763599998,22.31120931467619,25.244798665111666,27.88166155476321,25.78410879399386,28.76748991579705,29.508097020641706,30.978525938123912,33.4689226278488,36.50221758763135,40.51517428041732,43.514495984389725,43.327911798992844,41.26749712880834,37.76719549882215,36.57969321040356,35.22265830319071,32.31003153420331,27.71198918951086,29.62536210008773,23.812640521041896,27.09706105089861,23.610366300541223,17.945692836766394,19.13575386974817,16.485824964374274,15.077162405913105,14.052273245547726,17.264139292396848,18.78420474557793,23.654438336187454,27.3847641156241,30.728195468233608,34.2822781717363,35.04348172344914,39.115304308620225,35.19548763978787,35.80611015972206,31.080572918119824,30.549203937185684,30.269340283293758,29.618024691931314,26.80281325853291,29.365434947624326,29.727492943216404,31.479082530329997,26.353156362226024,26.751835457989884,24.456187436892378,24.47458796441264,22.791516531152837,22.164162752091524,23.743111564676965,24.536516622193343,22.511663128557565,26.115281185705644,26.095781128432726,28.404502548495472,31.684587357637792,33.465662940928006,29.992482498599266,29.563082804840974,34.06420247460892,33.09791768893306,28.4373513541201,32.56111376382793,37.2906401631251,33.456412956933356,33.30293502962763,37.2649597385845,37.44488883818988,34.31042369604128,36.444887469554985,33.48221322196072,39.06913693147589,33.64750244166399,34.551109765429366,38.74846230208298,40.42940329599491,45.033878927556515,44.49244913767694,45.23203609148437,42.70325171739217,44.264197553543966,41.83671027876799,43.19583192870027,42.185248225165324,36.75410439141736,37.81666927120317,38.65902735748767,34.9992640791126,32.74380708804149,33.781234125009775,32.61847330718712,29.64283010143554,27.37790925349291,28.496007687764767,31.479007521058794,34.97648496150783,37.40668440825333,40.15142112941249,44.64252259314035,42.49461812901522,38.16198154922921,42.22839840927232,44.25644672893237,39.78085697571976,38.97022227771465,43.22160658316274,42.79416490188712,39.498468879841354,43.22954762583118,45.54672929985215,42.78087847450727,42.234701669783945,45.278341437568955,42.430822558457685,43.68059347594973,41.31672190604247,42.86485308798773,42.77679284848384,37.47974937032759,38.00003949876411,38.95240418686791,36.75073839689564,33.01868473649542,36.75828386295653,36.035920408274535,31.151378246905697,30.529511714899556,34.20722029571925,32.871392301411355,29.361442687354792,26.97349981205096,28.184342711109142,26.189615240773865,30.625865434097754,27.334183828007315,28.450736465593298,28.295044306662554,25.1598576189899,23.47721010402137,22.5162011645245,21.447400706176897,25.161928069840314,23.75127318448632,25.0369067875777,23.949682105648435,28.148510764555116,32.08243788977824,35.35403237155747,36.58636031712399,32.15458448314642,34.417988144011,38.14505042038439,34.76791131115869,33.240075242164814,37.42242973522912,40.25710690458755,41.892861267148255,43.246786830991816,44.23135431430151],[34.78693524964623,31.725598865174913,28.774764665866297,24.312234917198804,22.259263793193767,27.073056007941005,25.600534548908353,29.31033549016387,29.83782853711947,27.540062035230658,30.718116338356243,33.88786943783697,29.331628589464636,28.195669116580866,32.261008366643495,32.120758160766385,27.61306339209196,29.71892329545363,28.141129463061976,29.433031489465307,30.637668827674542,33.165164369778395,31.28046927511143,28.555114382341582,26.493900619765462,25.364497345759613,24.38184964437333,24.09152542932702,28.106094390078887,30.674244672312447,35.58498272586319,35.94714271712203,40.40728488077624,41.69935473839057,37.91417335148921,34.196049686514534,33.694972524138336,29.940607095503264,27.113902096476576,30.27652489282468,26.52495893850314,28.987584056691713,31.725538003139118,28.710730940133143,29.25943638468583,26.05301974669123,28.914787480269833,29.947337462456925,24.699152762089945,25.771367912521,30.51296894762332,30.632060665538784,34.241833642023245,30.596150379590572,36.321607693958406,38.373945954021316,35.14200590235673,36.75172937554474,41.10746220980327,39.802248765940185,37.84793642767224,41.45624143456429,41.70679827282824,42.068183579957896,38.30159443403118,36.16628056797997,34.46266715483496,34.08509121457352,31.975352802335102,33.126177057950116,31.955610451060593,34.86608838096182,36.667648480958114,36.94293006040779,37.66496518737681,43.09670329433568,39.8112116423057,43.92620301505965,41.3051715733009,40.04734256078971,38.88514102567029,35.880389168946,36.00618492099704,33.02375308623782,29.399280137376312,31.464034238877698,33.22413032515921,36.8553290566318,36.17774007721012,41.83939918848598,40.17809090271051,43.998224502474166,42.322703449213435,41.87429838245298,38.05549862783243,40.32069479762229,36.8181644812842,38.667682013014634,37.292665875964346,40.65935018888433,38.085613463088016,37.565124498862325,35.60845474172376,34.04451970629486,32.875233175381126,30.058586833976086,32.04342911327078,28.994673061740805,27.95602157306942,30.08600713516994,27.285485249377956,24.877143714035057,24.84524658052245,21.21110851953059,22.77641068726262,19.307461051839372,21.31176867202527,18.003823278727463,23.076437624986106,25.43407262224887,23.69236216175861,23.497224489530137,19.025687348600208,19.457535938175987,21.159342618501032,18.286322279975696,23.041449182336233,21.24655261455731,22.861794586191536,24.885814918301218,22.30993070923455,25.940760665031643,23.13239842318826,26.396439883024023,20.5369285271894,18.874728162586862,16.129695978888368,13.96330433382559,12.281066355375419,14.494420165081154,11.953106152705363,15.124096803134448,18.445000154573616,17.948205947105592,21.006881775485464,23.667470984154775,21.670901580881537,24.888435761006257,25.99526521303773,27.604528506212162,30.494821088759103,33.433814882926654,37.590888599949665,40.674932593520886,40.087299599126155,37.94090169879724,34.264048788285216,33.320760981559594,31.577248843387725,29.09113474599829,24.3420267463045,25.75798945119458,19.93669998444603,23.30477209732537,20.2658903922051,14.591252326675422,16.699725075554124,14.707975581700477,13.794849456683478,11.70832971303086,14.956834764274225,15.64981576896917,20.529569784555914,24.14127174103207,27.263485498612564,30.907733554219476,31.31220235420885,35.55719519876195,31.656472978562253,32.5718116599244,27.978865651853102,27.702728665342992,27.871913611925905,27.46521208820578,24.32630429684268,26.468159701797003,26.30462044364518,28.402630019621064,23.29197920154895,24.288261048703653,22.53070736068803,22.214911522438115,21.265443003566666,20.85956630859505,22.821878047381546,24.21802065944428,22.010958821198628,25.801563255905158,26.012796977508923,27.63724754283844,31.443834594246773,32.688269006390584,29.05856286776009,29.4198554277746,33.868482229557515,32.45813390333665,28.295061009677866,32.7189550295769,36.99230241564204,33.04141402001977,33.374053828530975,37.3544843916601,37.03205695075459,34.15336086622682,36.8216511478108,34.08022881512203,39.71385784326,34.988615520503856,35.4627613463858,39.618689318160826,41.58496164809991,46.280489852682784,45.75610603206325,46.0286363160148,43.36649234816983,44.736058610504905,41.88649366606595,43.56045559830447,42.96094228414166,37.239672679945045,38.08130083012968,39.510287815764016,36.01961613881931,33.34741751029688,34.363491636512826,33.97156462476554,30.954620062998153,27.953155894358506,28.913836134037105,31.05775262901243,34.729781159694774,37.10717985520006,39.442222389128496,43.95793589765626,41.34447406358808,37.25798143033984,41.581753394034074,43.17200142743368,38.52048662452344,38.19981412966759,42.34338276715871,41.69517270493037,38.69105444226692,42.749865925229685,44.8617515234499,42.00191920686929,41.96104709105289,45.16260143507045,42.512295633283976,43.710331818955126,41.14341596007303,43.043393442234844,43.2337047328792,37.74232061692462,38.33590413499935,39.78052750311642,37.59914831422464,33.71456001612527,37.87522517781297,37.55849969239839,32.462840758820455,31.795039269400718,35.965262010215895,34.91794151099186,31.269234991503996,28.58224775339841,30.53483574910383,28.36456556853545,32.43508125820958,28.630672229108495,29.202176108361947,28.39655990370209,25.803814335406447,24.24244185648455,23.9343660308958,22.468038969260824,25.75586553120973,23.35552315334514,24.33024360021977,22.4931856225922,26.96761157529605,30.537939089663734,34.03247385533404,34.710285778211244,30.382945914372122,33.18157375144643,36.58365913557661,32.706154210205156,31.757279568912335,36.20867565071283,38.72576392580866,40.32308839155721,41.717068784434176,42.77568117869019],[32.992062256709424,29.714370418480993,26.23854072632798,22.504501941401273,19.578837378955292,24.984243858565133,23.635692752041106,27.122135603154703,28.418183569438142,26.542671723076282,29.957712239931865,32.64995402989294,28.15231696524472,27.793304952289127,31.797615099812084,31.271033284295953,27.020707673862688,29.49822108200379,28.60649091867802,29.283933335759198,30.93186847532229,33.19269205594246,31.70940887192907,29.383911620252974,26.759679803904074,25.880849604954662,24.12914474718519,23.650006486431298,27.336375234544292,29.400339183773113,34.98144076577115,34.55019441774926,39.13238594159825,40.64060532972194,36.63961646130428,33.21854453286355,32.04352027224961,28.734741003751616,25.82587416172165,28.62580773071666,25.405176359593796,28.560875789443,31.18586286147014,28.407623700272858,29.572080739569618,26.625198488241914,29.29174292971166,29.705607782451096,24.29184944219397,25.096434902737865,29.501885013702317,29.042618945899548,32.809185083482674,29.17203627172095,34.60400193015831,37.1794828508479,34.38159772986367,35.632626476320944,39.98577378069733,39.22906675467125,37.46674384246961,41.08397348110597,41.23063704456851,42.180628636695204,38.380672872897996,35.86389650576487,34.84851379409633,34.151332289684255,32.67865805916922,33.598976222107666,32.891365245591494,36.1558683543847,37.418927579419154,37.744032165472525,37.80794887054428,43.13424034374146,39.471014303978706,43.304449807081035,40.38742303011788,38.94312233133336,37.24227268614944,33.99017806911816,33.56210631907629,30.427027577985637,27.178910606637455,29.448909805435502,31.835693224637588,35.152577880545785,35.238013404070806,40.78778810602386,39.58753257828548,43.71911281498858,41.98151066730743,41.245243051422634,37.413170790041335,39.902780522293796,36.40438590206351,37.54211132585746,35.85754208153198,38.7324869341632,36.10442428839695,34.91141927404863,33.06181318636047,30.89235248034835,29.311613736332703,26.384622303519055,27.931779097798838,24.657908659431936,23.761935564925558,26.199531300745786,23.778452162152522,21.718221089522185,22.418583620030905,19.053550042035052,21.593979873941457,18.57193216004456,21.02128644305195,18.449170506948157,23.97995209455066,25.715287385416914,24.302151263410483,23.657613840410033,19.39012685680005,19.003943126877243,20.007720478231402,16.202709565822712,20.265370454323893,17.933238874753698,18.971382431387134,20.82054959181154,17.79098741670876,21.28173131071894,18.568595265138068,22.138208871079634,16.320720488365026,15.186562096478188,11.969287156738654,10.877350961203716,10.580493992515155,12.969459927330071,12.33799324632096,15.616217586295965,18.534947196435283,17.266931146874363,19.915211351138137,22.377295891397303,20.247013344608053,23.073093369262313,23.58587537662994,25.42360267540317,27.755751365903453,31.161653292699924,34.92373618751603,38.360923526514036,38.04787797083454,35.65832563834894,32.174500964203915,30.684068455946306,29.344087880355836,26.124582825571864,21.445670173165936,23.618922463080562,17.88894712245924,21.17658582360848,17.66554774841123,12.278852944061764,13.2249009465396,11.411818309235606,9.513264801642531,7.822642855363995,10.931478418867586,12.457691743497367,17.33937989337388,21.04540743971761,24.43853887739382,27.927111872497388,28.905975760558395,32.83130231478592,28.966417602029868,29.456817423484072,24.82639043837126,24.1007791438546,23.97910433264063,23.58051514587721,20.68921423156744,23.581203866904048,24.12007382185009,26.205640978737147,21.692721288960993,21.846176159906328,19.801384787474834,19.023675370502943,17.406809644855144,16.52932896538344,18.223400721055587,19.42136134449414,17.171237852962108,20.966152724136172,21.348912310775248,23.126293491514886,26.916645594546345,28.372629929111948,24.932471106196818,25.26767591878906,29.718153051261325,28.666844408351036,24.763387264544484,28.998217019665216,33.29083117102643,29.867650180127193,30.26896883612414,34.16233737589368,34.10754176400588,31.608940848020858,34.146211751838415,31.262176300650925,36.62970359290828,31.849207460600045,31.94345261233265,36.02614708244898,37.68713021912456,42.50206358755966,41.69015487373379,41.72976363967607,38.90902304796288,40.11940682549668,37.21422147739914,38.77875137984397,38.29811408632157,32.62145288016946,33.29712141907548,34.74994085504919,31.38463874464358,28.605067118558864,29.529328327310658,29.354144020713264,26.42795422869372,23.150608196145093,24.258425945534746,26.278260732128594,29.929718012891552,32.45777484392681,34.80624894208989,39.393773420240116,36.89925952408226,32.79701812088875,37.227940923581485,38.95831035873057,34.444446275153034,34.13982398198666,38.44153489383977,38.02357855815386,35.07997052193997,38.95887674537774,41.27836082664046,38.76142590156541,38.53224793861891,41.54923248037927,38.77346988527971,39.6793599508834,36.93886742916315,38.671879924566134,39.13248772330282,33.744438144342595,33.982004719301415,35.55995587012516,33.594784063755114,29.480166786976305,33.508961277640395,33.55123714606775,28.55027322036698,27.5030919383118,31.796630730533902,31.140737879013503,27.585439358425923,25.182912507329096,27.437366430248666,25.722224392298607,29.65179594798224,26.032630501909104,26.093609229066086,25.643402835900176,23.48571282025646,21.432037752349316,20.984014719096912,18.98027162438232,21.836789087105743,19.557591135990002,20.07822612448134,18.792439790232937,23.536921630638773,26.8365797410341,30.299729534487486,31.28655536854063,27.192575664685222,29.983793299631824,33.52382693395013,30.023370838319405,29.261457431654875,33.50689955582808,36.23035603804751,37.86990146303618,39.33931054688933,40.26848907408299],[36.408581348178416,33.05545047765604,29.548750078184195,26.181928500688187,23.39773343989664,29.17736243412201,28.109003325559133,31.596547682743413,33.084708888267706,31.314910611512804,34.74319558940803,37.38538350649382,32.85756830884206,32.565152718921304,36.501167061890825,35.89053914480953,31.589378872761564,33.8514784516578,32.646239789564625,33.133057993630445,34.43350388658027,36.34625272206941,34.64809136364484,32.09219825008787,29.766659676234713,29.37809178574915,27.83319316305129,27.814602873180544,31.612175590608036,33.783190318112496,39.426424418741654,38.975222161642776,43.563178757623625,44.90136480012974,40.81030992159891,37.33821468535183,36.129952825103786,32.54021557467191,29.41777230152832,31.514189549982813,28.338804954372403,31.83788049826005,34.0178932295004,30.9434661614435,31.742681628670944,28.479907686271563,30.692835112866472,31.58339414803153,26.33605805670758,26.338866387270464,30.97354404319052,30.561976358785284,34.522818356493026,31.455344879811026,36.90742883691484,39.21840047790699,36.72604325354523,38.4418515026264,42.54462578375706,41.52380296458445,40.27707090237518,44.211475524731505,44.69075406468515,45.4634516685374,41.51850240551446,39.303681939255746,38.54041578426066,38.17460348889606,36.770139323437114,37.970409186158065,37.19390783445885,40.37962192032345,41.69563611201529,41.74310839876742,41.969566160828535,47.08161898451733,43.276687485545956,47.15608397543585,44.083592799778195,42.325796388161045,40.70093222880232,37.11036934306301,36.78254269821927,33.263748224380016,30.246348302550082,32.96002757661156,35.35779747688387,38.903404381075916,39.06960067054408,44.775788986110385,43.7245491450247,47.882700833472775,46.33037620075336,45.715834083289025,41.993407132639604,44.561109203051075,41.12691037749257,42.17262940486685,40.50103567158987,43.283999084729096,40.517257128825705,39.12463993472264,37.144451904200736,34.763141259187655,32.63387403052096,29.88936517944178,30.935132929049278,27.378580221200444,26.77335352338123,29.60051662613445,27.551891661714645,25.808070267893328,26.88603725717524,23.628025931856687,26.3159390461966,23.280728200013836,25.5441579761869,22.765925065185264,28.00793820018609,30.097188875498276,28.789090346326542,28.332889086084602,24.0645624215364,23.78951975338029,24.753076195640432,20.834728813986057,24.494234681033827,21.972317677682696,22.471027996184972,23.99272553437756,20.33929690140463,23.275823382851677,20.422984037865216,24.55454114880966,19.04187695126585,18.825907104112655,15.33574841821082,15.170988114791424,15.270867712190785,17.35856411125855,16.3315470675769,18.867034143933584,22.293189654129648,21.355996994543716,23.684099889680702,26.52524665598493,24.615041002783997,27.53252819268804,27.94570584239203,29.955178700562485,32.04653328812714,35.63548262148013,39.209944184758115,42.748451916818986,42.58646920687077,40.10861193634295,36.68855686245798,34.972024537148066,33.71109884766067,30.169951116966775,25.38800850249938,27.585425689771327,21.80333133177368,24.59605663663156,20.48606525842617,15.058163489122794,15.197486600503163,12.115609607109997,10.599898545789097,10.686669999461774,13.737413912494798,16.065625733027705,20.499897616519583,24.323377862681646,27.92203779659972,31.478287226390822,32.861771494741745,36.38338493371677,32.278234238409574,32.538398275723424,27.582861660580942,27.262322446978782,26.249650205951887,25.264379040969153,22.731624829653047,25.53900669443804,26.513526829968885,27.900923881066888,23.081624999939464,22.733276871390775,20.081948126471953,20.1878311567797,18.05464028929396,17.46682954128732,19.01686689326361,19.871700719784794,18.460103645942446,22.19973843413719,22.82323928457337,25.357239114450948,28.711010871388307,30.80292750063709,27.66229040732849,27.35330849280981,31.834846753236363,31.386360740856006,27.211663565776398,31.06738784359235,35.767350391587314,32.67213966910333,32.67431147413589,36.51600892602512,36.976327982916956,34.35936512684172,36.38696856097851,33.253534198497874,38.49038767562942,32.936569998063284,33.34147946885177,37.434755814927264,38.58501514022902,43.36095078909875,42.32402301375374,42.70761582010925,39.86509854291155,41.072047824925995,38.50695491351955,39.521725129228656,38.79863291735024,33.55534492503133,34.146790957400874,34.85440699992976,31.549042089829825,29.115557100155094,29.675716927162267,28.838869848085636,26.24781362116727,23.356036252778992,25.16973161874025,27.74585871113426,31.212296394392162,34.10521305194148,36.732626210143685,41.401190379752315,39.317924111693976,35.113934829635326,39.48741646599711,41.61518723034576,37.34613546676259,36.75694255470921,41.224854145719185,41.09112341243384,37.992867489238854,41.517823643082664,44.09655416143698,41.802379401913896,41.10291493075975,43.89631272964808,40.886417468053594,41.65860933198465,38.97185446125413,40.23092596173248,40.65228764726938,35.539466344736596,35.410575496604835,36.577265194299336,34.76770867052795,30.631496670032092,34.00111190952602,33.87113921789423,29.213330104242377,27.84018640265896,31.558128502935183,30.869423888362927,27.58638840795485,25.78164116564708,27.184478025447007,25.93435794364799,30.310016406830346,27.342018409224785,27.834518208864974,28.127200021534062,25.539251314178046,23.237701131394015,22.000426596244377,20.20785902154709,23.332298459042494,22.121270347648466,22.589427632963336,22.1996549208189,26.850203939201766,30.20604069619494,33.50009053329007,34.9228957834275,30.92422024460481,33.384908273128445,37.151724191839186,34.05256578221317,33.01856925195443,37.0258763086379,39.985026700429025,41.66517550105355,43.103071973737066,43.93900953098866],[34.43481333346122,31.05207354727403,27.62644258498439,24.552957741092357,22.11929269030043,28.177401529332446,27.621122728133514,31.291555563282717,32.951179801606436,31.65712406043669,35.225600115271824,37.798084681251474,33.64516649010753,33.366008097576184,37.566674982643,37.06723358145846,32.971932964784045,35.61913527697016,34.805584811431444,35.41122555666841,37.006441637031365,39.08467163319741,37.53199157546095,35.09448856265451,32.6001038008049,31.95988265244653,30.20782650192906,29.780763407704338,33.37115924283813,35.215061105776066,40.97609008588475,40.24050898387983,44.857106378659935,46.52376939777745,42.46274714385463,39.17485010183703,37.71962589121125,34.5932683817143,31.607968413388917,33.92860936586017,30.933760908477296,34.43694949551725,36.79721479673846,33.88688122122815,34.896478922158465,31.73654757912894,34.025452458289095,34.726507847804335,29.39419530813755,29.500967213492846,34.01448048629225,33.39439320270476,37.36587378181031,34.172427126232726,39.48407236749791,42.06349752243312,39.6213894735376,41.06123191011606,45.251532531935936,44.477335632539926,43.095356111746504,46.88593843600804,47.16008976082454,48.14248189412594,44.27125245259204,41.82835122175896,40.98971590791374,40.327206481859214,38.871885706448126,39.734400935320366,38.9959598884037,42.20857048654132,43.5685759676324,43.935463499031236,43.98845855124345,49.29011502517999,45.54324242063901,49.31326710550496,46.27555797914266,44.660324784109726,42.77818981380909,39.278463218707095,38.58553317267141,35.201249815596796,32.315108005594695,34.862424408848625,37.52582294505726,40.75368944141293,41.166408923523896,46.6846980785883,45.64047136522878,49.83405113066068,48.05509551387915,47.19724640542172,43.29135681040591,45.73412230451962,42.12266821463092,43.14887846588656,41.21656251346434,43.683809288349075,41.35601564691687,39.58230197802735,38.05842077727346,35.260947996275526,33.34150368906632,30.17433553891693,30.943274918890065,27.200119435117713,26.16572617007202,29.2629545916869,27.038092176299436,25.915254065807105,26.93960613431852,24.119620578892224,27.150617340332236,24.3817657116277,27.085255647233808,24.605863046617223,30.149271641913256,31.859907372946655,30.332137408217612,29.5007184139129,25.113424448779412,24.44911522481365,24.914614642677996,21.021166973065615,23.980711246842002,21.774938688788776,22.08714592374474,24.130806958419363,19.9332523635581,23.01866499796417,20.748820487089333,25.099098689122293,19.644384011055358,19.3936433628427,15.085660910595498,15.790770474730689,16.252156055863278,18.908490336727244,18.503727098868673,21.564491749979492,24.67325045481797,23.37892605212561,25.852614608335102,28.29196799537304,26.10104636654197,28.611968657599288,28.66043265774216,30.29083434905263,32.041169846854174,35.54316679329709,39.046613120956216,42.35930815947788,42.59302976448975,40.320241739618154,37.10840436675124,35.2973797694404,34.48597587955526,30.74365835204484,26.366727072607535,29.108264012935383,23.519388892752087,26.579000994460607,22.57398509078106,17.413225038157872,17.101816667442996,14.379331149872234,11.94986244344076,12.17611027490579,14.890412854471222,17.447605484398846,22.023788667619527,25.76434854988731,29.371835995526634,32.6773690199624,34.134503070392846,37.74626842088313,33.89574733723359,33.9568732896332,29.217593267933697,28.194698183164405,27.382786509144875,26.607927967114268,24.28662195342148,27.66432475548468,28.907240465704376,30.45258906525986,25.972793872365095,25.312157749265488,22.552524232463625,22.312838181280913,19.664630352476856,18.492705073412985,19.50468503472132,19.680126235883723,17.84244108933269,21.238420222382125,21.299797344519803,24.1576904855299,27.074149823172384,29.37277318399638,26.25677872346471,25.379771966472326,29.86240394790199,29.553942260313125,25.00047696581242,28.701566263893245,33.64483391869199,30.51299756454745,30.210273140767484,34.03383429019668,34.75073117612907,31.965626132446037,33.69457600791704,30.475387175582714,35.69890647345649,29.87321450874245,30.529601025000883,34.649797143314174,35.802501422315856,40.497142227777495,39.59768532518127,40.287927749877696,37.62824880012748,39.08148032681319,36.809307117273214,37.852902966059375,36.78076474880359,31.586072730967018,32.5471814122902,33.07545280599241,29.489166324091972,27.349560855920444,28.257556275000553,26.898969971073335,24.069896106767274,21.924508072083736,23.351860528863266,26.64988962850151,29.984402753562534,32.622080035551434,35.56234579581885,40.09196798293868,38.31772720531686,33.90312129388945,37.936050949365374,40.31209184621268,36.12067674316468,35.113080568851316,39.561347114234444,39.4995833709012,36.174715320304365,39.521050377918165,42.1569335367511,39.845569780175666,38.863581823796174,41.60333849399455,38.528597361245595,39.447138217498086,36.985304668757806,38.14662914344423,38.25210081835981,33.20216845868523,33.244598594458,34.095335432705255,32.1578772982036,28.231562415226126,31.552751435734198,31.058856731974338,26.41136508458585,25.320771769493845,28.863293300821734,27.865771495327323,24.548170654905995,22.709736938820953,23.87018666786447,22.579175620243674,27.053633401647247,24.270702106071347,25.043252458960588,25.64743738806721,22.788833745128176,20.455701936956483,18.940179482664444,17.431576941705238,20.86512754726822,20.22548603321145,21.143195241496496,21.11346656019693,25.356089452904584,29.083780176659747,32.164589048697835,33.957612314218025,29.80925873538756,31.803063953804177,35.76725403028055,33.04145816951423,31.516172118399883,35.31170091129814,38.46889706764805,40.17124239933415,41.57983353698867,42.387584775407205],[39.100277769146494,35.82542189053016,32.67468094894877,29.216401220065208,27.186973804814265,33.001598319427494,32.267564260283166,36.01918611805681,37.27839917454007,35.574190591042296,38.983771203503395,41.84882364507426,37.44001501971928,36.76146736932899,40.86501076403523,40.481939316529854,36.094535252871374,38.26293891297409,36.71932277766088,37.50243112170609,38.51799638542227,40.46572527515095,38.49249072354978,35.643477240471896,33.72888131725177,33.3498893936462,32.217729190754156,32.318814699001166,36.26404133296721,38.60743189543219,44.00809387976746,43.83949159119211,48.40100307842958,49.70488656680976,45.685696925652884,42.097720698159755,41.11199212564586,37.34630609386597,34.21081855617211,36.26103384722933,32.89557473948395,36.21070335239816,38.29726440795167,35.006541247665396,35.34252945730484,31.81194118148376,33.87461165415237,35.32275523815227,30.250159939328807,29.994157189710915,34.86387052903203,34.71355473801964,38.690983245669564,35.89265207775106,41.45366158712773,43.43368506939103,40.90223275104906,42.95720909741576,46.9566509304439,45.58221753123908,44.46669430750992,48.5087321812381,49.14108374275809,49.57316795437301,45.600818286551466,43.665750460481405,42.61471342135448,42.463445019737044,40.71073408618909,42.01551815284333,40.95946096628914,43.9103307675967,45.59048825800658,45.624680461981086,46.229207561159086,51.3861004352246,47.74270269449442,51.76332949370755,48.78362213119104,47.0218944275601,45.61442002743761,42.01155105841574,41.86461512746869,38.27761600370199,35.2276351986758,37.98558831398732,40.18953912781462,43.889000238635234,43.795065216641554,49.57407597453134,48.34085380129679,52.36296218133173,50.82808546525946,50.315475270044175,46.54541324651366,48.967989692725425,45.454132812500504,46.853656488601374,45.21326148131428,48.07448536678914,45.48763091363304,44.1613047508087,42.28250964993296,39.89721451509277,37.821479175644896,34.987394577395996,35.90595637192545,32.237462662040336,31.460480187137122,34.44690920243134,32.240015399351705,30.73771952384576,31.571612845194252,28.385979341644738,30.858648781809134,27.687720089526763,29.90497504166261,26.804569908789787,31.830746752426712,34.235241336942465,32.68681439571889,32.354272099432855,27.88944664860894,27.860372865594016,28.906867273161392,25.35271319612576,28.929747150613437,26.740770732573342,27.265076485757916,29.026103368970222,25.0700812116627,27.930713413044714,25.24189748163838,29.56645362412379,24.140847043421058,23.958524514210357,20.154620221161064,20.111346050507823,19.872083523472135,22.130513482816937,20.39887388966868,22.805890650083366,26.511594684842258,25.92068499884913,28.403852799760653,31.349549237750317,29.44034948041942,32.4335693449562,32.93427108416208,34.7263100963159,36.85575517769024,40.255411286467854,43.951063965485154,47.23545522313719,47.208851076805715,44.926277646686394,41.51649318553427,39.92971974317257,38.708546039907,35.274825920082684,30.55096982023664,32.66049379810315,26.82121529407229,29.6097896414575,25.486410269521457,19.961872699739693,20.187416003764223,16.718566276588746,15.496739060490379,15.868191326611008,18.92511587396643,21.247835968007085,25.68422423843902,29.518195901010678,33.107912349051,36.69040910805746,38.00414954630358,41.57392710969125,37.42846399324636,37.71047040854274,32.690827949828844,32.46032455435674,31.284061679915563,30.107437250662578,27.70522772353875,30.331842584785587,31.27029389519398,32.368056808886294,27.22640435749141,26.93441986925053,24.096688515942652,24.762212002659552,22.54423691200606,22.099261721344273,23.469928775887812,23.942131736838764,22.759156295926623,26.26110702748633,26.602448388540573,29.558482302826697,32.457939091494545,34.85107750246626,31.75865497586432,30.840313023548866,35.31308059080401,35.036638210409755,30.363737526807473,34.02791496158115,39.055969127019864,35.79173513741188,35.35556634449935,39.19442878941605,39.92418041684434,36.9046363584282,38.53366667644939,35.318249500219515,40.60928667762236,34.5077897800674,35.50799955376055,39.633890810393744,40.66700122740666,45.25005454981003,44.35088808520102,45.29023954802162,42.669450367196696,44.113812383069906,41.97300375102388,42.73849459948409,41.59383437106126,36.65792099078756,37.50976491917034,37.64378309744098,34.17762965709914,32.22047087433684,32.806083681709396,31.147111494160683,28.631391658952555,26.60983174014639,28.477836047676465,31.774968278028183,35.059859928329324,37.89926951321969,40.83648739152476,45.42082836747104,43.66860691382765,39.302269798003636,43.38532496260619,45.78693868068468,41.60448305221009,40.61949260135367,45.067287589015486,44.9886897694139,41.63610079703907,44.969825977591974,47.59490092242376,45.200760150292666,44.18729163335137,46.93138042536484,43.83676812681532,44.80325657388155,42.399541619000104,43.429219998731895,43.46361732551795,38.511845744453574,38.50268040338022,39.14651913996719,37.22874468582601,33.39754943298614,36.3949286030582,35.70316502083912,31.270805137555257,30.147026106240336,33.2508915079733,32.09567469835821,28.968889403439235,27.356930561946115,27.819806439314974,26.547261171696547,31.279709818478253,28.752813917759752,29.99881467332213,30.6419175937893,27.409355932209454,25.32277527474906,23.617052612927182,22.51609077198665,26.15259189180931,25.691877514699957,26.637085216004245,26.488931936052143,30.755037750460733,34.51478003316931,37.642834098612155,39.314477721111544,35.11761881401658,37.166096915347154,41.09738035642363,38.17244702648701,36.59632237143091,40.49751673836708,43.58139060314437,45.248252486651964,46.603146352980076,47.44369107545363],[35.75681456245721,32.4231648354974,29.31127517508553,26.942840680628077,25.30481289641844,31.60289461411397,31.841508744968852,35.672266699437166,37.532559278966616,36.824636264969435,40.49622508066348,42.98895673602006,39.277109535787375,38.96673278712087,43.40594211226436,43.028858421812494,39.12107918234628,42.016689821267875,41.37462414539994,42.06532401582265,43.72764581474994,45.80995902311163,44.24835794875924,41.76272786862745,39.32235804568083,38.66825548166029,36.895618620559596,36.31551326830557,39.778381921696685,41.376441143237365,47.21607005347386,46.23478077750428,50.85631176276921,52.77295567351428,48.72521774843335,45.589259311989316,43.916241316995595,41.09300296613056,38.14779858123339,40.33518628487942,37.51055677376421,41.13597133863505,43.44127656047013,40.51411161490069,41.46397855782594,38.2121483435936,40.32332171101054,41.17415813927074,35.90027398096795,35.68567737719163,40.18545651955265,39.44024466792624,43.49420297182883,40.52631248710063,45.699436774193074,48.34569459197633,46.11647412053072,47.56835415429838,51.68759959688779,50.972105766971744,49.740967891146774,53.56226097919795,53.82170781938855,54.86991732886311,50.99511809802505,48.52407383254444,47.68057687105968,46.91975175909167,45.37793776896997,46.05377391219365,45.2670456824523,48.413398417446224,49.91690646006786,50.47581026942518,50.50288346119457,55.89936581846692,52.173853665215596,55.87700078290406,52.81752007607949,51.19275044213838,49.128786648227624,45.56051772828342,44.58285916446055,41.14796518966038,38.52532525484317,41.11404612368414,44.00124024507123,47.03858009867222,47.69288255563753,53.09708956942699,52.10198313064059,56.31659027682041,54.39725528683384,53.36353735226343,49.32095090807336,51.63170185419945,47.86289220867454,48.88801143017424,46.70310537784349,48.77258857460194,46.906135559038574,44.644840106797034,43.58078583832141,40.26356058038716,38.32261467635421,34.84989590614348,35.0068807090134,31.007299935189895,29.662407545398782,33.190917824945444,31.007423313771515,30.775095373545778,31.8494359279728,29.581374383061885,32.90107366431872,30.376944776454284,33.36867650672099,31.018609846076075,36.652728331371,38.221485234852295,36.49263949976768,35.4177993827358,30.9214370480425,30.006526950666956,29.99302201615008,26.255262013107732,28.237884672301263,26.42128182148148,26.287989930660544,28.658772467087633,23.73828211440562,26.478876317188025,24.909751782230302,29.614293226753343,24.61260194347976,24.75411134857779,19.818556021019553,21.561386926169266,22.3395133847347,25.29876661240759,25.091989363956817,28.263711266880538,31.35586829333769,29.963326890134155,32.45364621275086,34.70406769049307,32.36700155980897,34.5331261608149,34.19971303857105,35.46161583641467,36.71231307483754,40.11043172739298,43.405032932042744,46.41645841390791,47.20614036296957,45.18384435976068,42.27354281519472,40.29618610534118,40.01464793372369,35.981324459677396,32.04420411517696,35.2569812034795,29.859627851203555,32.918871639054345,28.7874614722196,23.885356483083534,22.958731628614085,20.083374148594213,17.36939200953514,18.315450997139763,20.625035340285887,23.542297497130217,27.944871254189948,31.590523231654615,35.24623784574489,38.298817964400484,40.00080393626567,43.48145295669139,39.795606856689275,39.541249725414545,34.90889870697232,33.42625600214593,32.35602758133149,31.477121426977227,29.632925269761753,33.409454984453674,35.09184588656338,36.38022519771834,32.06308876933472,30.904538756897033,27.78045871470455,27.758716411005544,24.472738075793632,22.98253994652315,23.277403235325945,22.424176305190535,20.808784868417284,23.430577940267714,22.87886722133224,26.515446203191704,28.340438721540114,31.271447169064153,28.52501941177941,26.429466187339894,30.705342396776665,31.025279490216718,25.919419022276816,28.9083775868432,34.33486169369283,31.44702420016808,30.37559396416716,33.99239220501463,35.444171246485546,32.35461456178338,33.16130085136959,29.743119993431122,34.67750952774051,27.936457739697385,29.33875645169765,33.36403569897529,34.07306862189851,38.46021725603612,37.63653970358381,39.1462615825867,36.86148805271212,38.67959060248747,37.211462779442826,37.823772127965725,36.01678909144145,31.448684307193634,32.88777156468021,32.47618687427154,28.631077096766095,27.386655154347647,28.476344269420455,25.736192767653176,23.004501454317577,22.603243420875796,23.90278728964729,28.482039350428785,31.331010180297113,33.75729217985587,37.259358885452365,41.52820617608992,40.52604348794414,35.865860965870255,39.248177536351825,42.201769802051494,38.38144278628752,36.608201815917994,41.01197410756377,41.23673146165518,37.551492717583955,40.29894899436035,43.128785205776346,40.967344611649416,39.25335099305373,41.690553407558674,38.42322412770016,39.47366912345542,37.487070221177966,38.10386663594764,37.64572003240218,33.07275492723524,33.12202981885951,33.07197105153477,31.104991891131487,27.710414958483543,30.229380165809943,28.928310899761826,24.834760152812233,24.040218744261757,26.51434522662109,24.90265342207189,21.961875359007298,20.75067647212937,20.4163748587957,19.542475671574525,24.419853779856496,22.73836738147854,24.413348794907805,26.03096438293643,22.52525593310611,20.22466277310758,17.692949255762564,17.167071300424222,21.00851968428459,22.073010671011545,23.534007145687745,24.470861785839134,27.862490890941885,31.98757094832433,34.56880366873996,37.060902322730016,32.877678127448,33.954812378970104,38.22144691232145,36.28391746468452,33.934369093928055,37.19137597907245,40.68359824404406,42.374984125780244,43.670487590396824,44.36417589461592],[34.95472103654618,31.77636365647756,29.077543367485273,25.940615856090908,24.948676821228855,30.862941825023153,31.016464443816258,35.11167872395444,36.41671307763301,35.49101161301027,39.0620379123967,41.901695208908286,38.21548878963254,37.37227052928154,41.96076767954455,41.89226598251188,37.859184136705544,40.688076432227234,39.80261401508898,40.95685746617566,42.51284676208493,44.90770489982943,43.179130090366534,40.53063290927997,38.30646143155548,37.313516236087196,35.88541622467505,35.19562564155771,38.80524167192573,40.63744786824472,46.07700735357399,45.57113215284282,50.142243580772345,52.0450552427414,48.157463561046114,44.85476119776542,43.57810468862212,40.61021530654933,37.77282320786518,40.48247912680854,37.294335261197176,40.42869099554284,42.99116452588454,40.008895726680606,40.72963714545291,37.4054237631238,39.796721905280016,40.86987251184612,35.57257595530677,35.77479994753774,40.472585618111005,40.050952143914046,44.00159345421352,40.77355993093861,46.18818250805988,48.640871017979116,46.00653651006453,47.511881879410666,51.76623724827498,50.8029405754879,49.24551492028624,52.95126490083995,53.134295603250614,53.88802614578432,50.08544989377167,47.71577714481973,46.330653090849445,45.60835479240845,43.62376375094587,44.27770443820425,43.22156511183562,46.155286552445716,48.00944140516287,48.701101335812,49.07300316690355,54.6580794484962,51.23691519827908,55.10679081705339,52.29459233577516,50.91750701031937,49.132847739825394,45.824393655979335,45.124550117326834,41.894053421972586,38.90474920436574,41.22725634690832,43.777807911101945,46.92472179212181,47.09137925675837,52.51522792977533,51.15305904304214,55.16578456398811,53.17320031194893,52.24025172149417,48.114816550313556,50.22277582996139,46.375905863518874,47.92364830394814,45.88033859587637,48.28413376874327,46.57395893331439,44.775047359195234,43.74038491436495,40.825980972169404,39.38316948751989,35.8014667874434,36.487313134924946,32.66989398932418,31.03164763635912,34.26100876531009,31.5592410958039,31.00020339660098,31.449837658599073,28.987787423064816,31.77899013443219,29.024434478095507,31.94342740404385,29.306919433135374,34.82318118495611,36.564906004685724,34.54939119617634,33.5868940419206,28.929122198312797,28.34509677895908,28.64182391883238,25.451634872212843,27.98997605529701,26.59503052841368,27.08299847252399,29.831463358809998,25.32575111506156,28.58173912975422,26.884367582162113,31.302811258175407,25.890615203347696,25.29960854283395,20.471433977557524,21.311867214833605,21.315710298868577,24.465287717878187,23.566751174973934,26.978473072934793,30.104350861024983,28.95219211986747,31.82128696052371,34.03804528197871,31.626028731946917,33.96456107996876,33.9815460163141,34.99016919521962,36.6852688552054,39.715116640396865,43.40050299079856,46.100726135031294,46.712471543735134,44.92091158309353,41.85587530514966,40.30679685962787,39.7835449317168,36.271702231641605,32.276385926032624,35.140860640063195,29.60693246293501,32.98787823275165,29.22468876861906,23.96100498682028,23.91290703105519,21.173591108375458,18.7021043927316,18.744046521887235,21.41921925022305,23.755609794120637,28.550475467458547,32.224368006655226,35.732259282569096,38.90618732569288,40.11076050573613,44.02426711370264,40.369812158282706,40.46807324894634,35.89084731400849,34.469134734171,33.94772618795521,33.28806246421914,31.043122599353154,34.50763940716981,35.642017956336375,37.23337097572969,32.55431497784607,32.0525466292847,29.22005197434463,29.147175683297675,26.377810718009457,25.046118925250656,25.71272317441497,25.28009804479168,23.183532690050935,26.03685757025427,25.250794487768673,28.434243513011047,30.58524962182815,33.05902223735878,29.931153147039193,28.14314093111196,32.49531118412822,32.198426442977635,26.863821038405284,30.29052900560935,35.59110444784489,32.018654280428564,31.03207432438287,34.810960530983046,35.8219183289705,32.37233237991111,33.51641482526118,30.297959436913835,35.62052696028288,29.262170525372984,30.893407299265636,35.02878384838926,36.32782905009308,40.645254755889326,40.224612519486364,41.77862895979424,39.64408738946269,41.62544025605474,40.008452213892866,41.027084070575846,39.242570354649345,34.33690221985512,35.97649464433247,35.98809536718358,31.97510348732429,30.568989784556667,31.94723772801753,29.462323833178907,26.423738319465002,25.868260909205492,26.68809654811087,31.097839814663875,34.14311785407463,36.292354223840974,39.69064513563574,43.91171102178609,42.60622441984271,37.92762947089837,41.287447525423815,43.97795823624077,39.87765075771289,38.174685109437796,42.419776262357026,42.32387270311494,38.58758094149273,41.68036671258582,44.239033312143,41.649519493655696,40.271116148623015,43.00277091650364,39.9298217071123,41.335886178879065,39.46916234066507,40.489846048467015,39.78849052416618,34.92562735841535,35.509311052112444,35.56735147474606,33.2848206286318,30.079196397936336,33.153038206640375,31.61068319422882,27.171620636132957,26.93909776720885,29.7077086799708,27.731606073080982,24.49356946166104,22.553801435008427,22.493070380002592,20.760660730103265,25.57647852694314,23.281984641434704,25.28335089214604,26.224404596459607,22.389707599597145,20.637426916149572,18.651821848097832,18.504335285577998,22.718367922610252,23.061291906456212,24.984311475057993,25.067366562943096,28.387221637898374,32.84303979757043,35.56712122875892,37.69783581866705,33.18855066965611,34.38157964053987,38.53272773327375,36.15282973566978,33.64098791760858,37.18732717045193,40.49101479027052,42.15143207541061,43.411054343569816,44.25431104913855],[38.74642605280819,35.63860381623452,33.0503688187833,29.619568657577215,28.67934422258065,34.433635976168674,34.33603494559032,38.44021011703082,39.48889487703412,38.20243531902539,41.657944108741866,44.69125046158234,40.75244623310445,39.67582191452587,44.15547389250976,44.12847353730054,39.8692491279375,42.338553860988235,40.93687915246488,42.17497793367801,43.32527521989154,45.60765111994534,43.596564280043594,40.68272741717488,38.8494878735198,38.058595321928216,37.03717898709023,36.73566220808902,40.59902309530973,42.79561062954113,48.0120293995416,47.90066090449098,52.44535988386285,54.06163922821358,50.18372713902828,46.65861719575133,45.70307106063803,42.25892880726012,39.29969046865186,41.80353323331574,38.369929430990275,41.395892287376704,43.75635902340624,40.52315147864721,40.79889007073806,37.24713692386016,39.473232967676324,41.029003419394755,35.91906569611949,35.8829007010254,40.800050612346354,40.6875675598018,44.637433848930996,41.67521719990653,47.25860574815779,49.302256222097725,46.61135723396929,48.53916701313191,52.65967836962801,51.28342340053217,49.91908620913755,53.80379950753353,54.24765262322484,54.61918360577909,50.744652490332534,48.73142087517906,47.229945433661506,46.87833658928877,44.72004878782209,45.71120468070231,44.4493188890218,47.208793027178345,49.25937559246226,49.681898134857256,50.43275054178974,55.89301658504146,52.52402921131261,56.56989046965102,53.78317544410471,52.28545283645762,50.8320265619406,47.4327222971889,47.1207661862325,43.7312606253953,40.62100354853349,43.11282325826203,45.351188062908896,48.84639980048419,48.667197687849004,54.29403524291627,52.816668507619525,56.71874868146362,54.92179732771937,54.25040070321185,50.24194660995634,52.36796258010824,48.61439246266036,50.39143070683739,48.57494886777069,51.28952939320312,49.31353365304758,47.850160810380565,46.49240461850735,43.887897144377945,42.27498527689706,38.96280537299858,39.787157558801255,36.009196501071195,34.633352439526945,37.77556604424856,35.13546674920054,34.200684521419625,34.592219240144715,31.797526859056628,34.22866796817168,31.17646743958236,33.73047133566948,30.67461743711936,35.82503677233474,38.0541093969734,36.06905761413351,35.48142313098782,30.800289198731463,30.66606849336764,31.412909204905954,28.35459109987978,31.431352044730673,29.906858756422917,30.531496346035944,32.99776997012081,28.676452278134462,31.79737879586007,29.698377178751493,34.124433497817364,28.65623985627968,28.14070863058794,23.679579852247493,23.985535352849194,23.586697192845186,26.425645800610255,24.703975536302387,27.652720302415506,31.162911142122656,30.47099155242751,33.31694011218639,35.90805543877685,33.70704760424795,36.41740958999385,36.76621728651534,37.97771945159024,39.973180772972064,42.99853414434052,46.820420134402546,49.57945534559554,49.94504690908043,48.0839718332118,44.84159515483614,43.42586464527627,42.55998130904689,39.23403768481422,34.914530750843554,37.33423078017887,31.593276924139538,34.77638001519173,30.901241302740754,25.381899620143944,25.654877505234573,22.449202203272062,20.67509354941966,20.812544907933425,23.760547438315616,26.000187376630116,30.729536372123157,34.50317335234763,38.029118792078016,41.431978609192136,42.560141812129224,46.434673033310304,42.536756998377676,42.79441214189036,37.98423347523348,37.14902188614814,36.35061711954918,35.40744770544644,33.07331408410798,36.03847604155398,36.96933862961506,38.26995382614736,33.1682112736937,32.910468073573654,30.046359783566583,30.527861850076626,28.049375619778974,27.19656243867642,28.166473084053983,28.03636432739042,26.38992849150909,29.454516941468537,29.014291597982943,32.213991501835814,34.512148723598145,37.02138542305721,33.88893873142454,32.242073401146506,36.61837735000395,36.32626754253407,31.03798757183529,34.49354702556252,39.78689665491354,36.17408349123329,35.2086656477332,38.996274915324264,39.95339871337518,36.43286286673092,37.59848196270364,34.41105959117934,39.74735273636918,33.30944838538981,35.04165788107712,39.16107968747305,40.35153180348181,44.615698852630395,44.14358784340359,45.762948010498036,43.58338783301145,45.48257298406714,43.86096364118161,44.686246200147764,42.95150817479937,38.18770078876091,39.64487560383269,39.45219134866959,35.590574520762296,34.194460235437504,35.27095382958502,32.74535629413707,29.967246744330797,29.21741785019462,30.456275563466143,34.68563395235955,37.764091031897166,40.14214761346177,43.473348436843445,47.79164776694694,46.42111817929159,41.80229078411145,45.31227851948334,47.97302820010565,43.84787991060521,42.26996441616276,46.54776660860639,46.435336113732774,42.73860567094473,45.87163745924934,48.42576750032991,45.804129840453605,44.47403479111841,47.21385822490326,44.135205671997376,45.51100998700946,43.59985652104958,44.5527356630144,43.91511076978755,39.097428024882355,39.566131219248376,39.595722250737026,37.38238753911588,34.139610233625746,37.015812975376285,35.4873605803191,31.197060726702816,30.800268988740132,33.35666535919959,31.421802746243337,28.34675245051185,26.610040411377994,26.21887727724511,24.59695500554726,29.479387774790947,27.32545165975461,29.45763536186275,30.341580309401945,26.425650488508364,24.785462168407022,22.792969151227307,22.672264912013365,26.863474894029732,27.11702857115079,28.879103060235323,28.831032348587932,32.35657748020504,36.730697424247914,39.562742405274605,41.545293756284416,37.0351712166549,38.41015401186134,42.503639302907885,39.90389511696573,37.511047139904,41.1824697470713,44.39591487253081,46.0374634938523,47.27476099998516,48.14300542644392],[40.756211692150245,37.83303725373007,35.705877475576095,32.422942430148765,32.223678436454165,37.84520188208731,38.15851265207104,42.42186307924048,43.329270933985896,42.29049126512724,45.72768693957418,48.85435371767448,45.19951941725522,43.87603364313843,48.52454383174917,48.707228928155565,44.51717275269422,47.07662853019887,45.66040392931387,47.14020238805357,48.26347003164948,50.6669020174775,48.57372340596326,45.568457269980236,43.885824706839294,42.96060539103835,42.08374612135178,41.66333606818899,45.50388236856243,47.6609752845844,52.72674925676572,52.69493242892529,57.20990994325384,58.95449178388611,55.16160981175297,51.65088563601333,50.74887794660351,47.407653310898034,44.51432306890536,47.14365291915201,43.66010906677229,46.547439347900074,48.96764555657517,45.703720387390106,45.83259063214831,42.214580812028196,44.42719768247542,46.17274935504818,41.11388244319947,41.05772547709499,46.034776293359954,45.990236115638645,49.938330556788344,47.014073438591076,52.618876637573486,54.5983717765639,51.86410377505296,53.83757533073769,57.964801467168826,56.493480894059495,55.092476350676634,58.944944269488445,59.36038275871606,59.615067911066944,55.77910111678979,53.81878144428163,52.07508164785308,51.70178747827462,49.297974061560744,50.17583373543659,48.76050792667582,51.346672518548274,53.6492531256821,54.233611336913164,55.14592986835283,60.72555952495022,57.51926427761315,61.601188790920354,58.917556919968916,57.51843080016306,56.09334203950704,52.759469743734726,52.41069256119152,49.06898138385435,45.951563022327036,48.36811602192478,50.585687975833736,54.027930317713235,53.76870001744348,59.338400154813826,57.72329605701205,61.530161896204326,59.62797458977715,58.91140616526758,54.80098961557312,56.74518441315908,52.88043473927438,54.89963735326706,53.011163669885946,55.641332337807505,54.00375808735306,52.46937278764872,51.37934682679933,48.65780381149929,47.22787342797526,43.71213033301992,44.41288412892777,40.571441418436585,38.931388198787566,42.177513980051735,39.371004177902755,38.781422910557396,38.95701090336226,36.394531277476496,38.758116571426,35.77149768868905,38.42432365905236,35.354719560471416,40.44066209549653,42.65581248573616,40.45370891517896,39.79170699376604,35.04758756967569,34.91717597630147,35.52254893710159,32.790793811050754,35.53904997760439,34.378809595563055,34.994550458151345,37.75103066986124,33.22978523623306,36.35353332853459,34.552337116860464,39.05601332027243,33.65603058049695,33.08421463243213,28.371333785321195,28.88019019381914,28.411158572990335,31.435825054397732,29.62388135516896,32.67410973698968,36.152547895412006,35.50080233202917,38.47980289197022,40.953507206003216,38.65539075518973,41.242684752516645,41.525432410213504,42.435422204763285,44.3325841323345,47.1268684075227,50.983077495495415,53.410119975832146,54.02096767154928,52.418934301475566,49.29004560841149,47.96883335706847,47.295259179648816,44.025533026975715,39.91376208467155,42.44843926396679,36.75915491376997,40.05619188829636,36.24407542807129,30.72848901442018,30.97540170561084,27.75660736514893,25.878195299130812,26.062583818058457,28.944371810003943,31.186914609486212,35.974793905245264,39.72125518753946,43.22612596822524,46.54850662167083,47.6138535674891,51.59056701048291,47.786050414024096,48.01328995122615,43.26718181839842,42.21779899762333,41.48333195840392,40.56275029135589,38.32104671657492,41.384388003198744,42.34344352633243,43.6157511504359,38.47203180134496,38.192470759882035,35.2494470958444,35.81563215564139,33.19703605854696,32.237962942870496,32.99453056526237,32.52158302378385,30.82725082638087,33.57703254052435,32.75638567479804,36.145874547370916,37.96274983491639,40.609724953793084,37.56092288992611,35.396105096334125,39.61178173997319,39.42475160298845,33.82030726547202,36.96848513103361,42.401814277076234,38.68389362081006,37.298990422266016,40.94830571164718,42.143953729533365,38.31511787772793,39.009600145648825,35.880075851237905,41.08373803810349,34.38729032318557,36.69498231320282,40.70283910204908,41.857846137569815,45.76620106522725,45.5749424817967,47.75653108458875,45.9193569155943,48.096729248391355,46.92828215898697,47.64861634159421,45.48911120622837,41.04240821306079,42.84123310022841,42.25800222026066,38.24387122815522,37.33229668947787,38.60223332520909,35.426285662511155,32.662899398518135,32.81835132707463,33.79163166207298,38.5815200425052,41.44318688588665,43.572364398423325,47.156728246778854,51.27319197119663,50.23717434438948,45.49899390652208,48.59107969970271,51.46392281440967,47.46571504634485,45.48120238576148,49.620713805820024,49.53795363719279,45.63418680557052,48.51904081599112,51.03948791552762,48.3339188539698,46.71324967725357,49.362972520296736,46.29606104046394,47.909035721880336,46.377587926532094,47.15977829567468,46.05614072925522,41.48851179664984,42.19442029438497,41.70290352335395,39.370241848200315,36.619596439874286,39.174954330696906,37.044320187248815,33.08933533408192,33.13786260605016,35.06205804750171,32.608847533894945,29.781965717174952,28.192411419431927,26.921781234443486,25.240427759146154,30.116970669078473,28.520219809254257,31.319958220715254,32.48327865103409,28.156489435589428,26.880052798381897,24.64154795653355,25.256999205621952,29.649828891993323,30.517076787998004,32.696286817414254,32.821644129680045,35.82492544482699,40.49931127765413,43.08305742367799,45.295314719803116,40.666280254202235,41.547936809866115,45.71763845086694,43.41088272089374,40.48927386859404,43.915491054414396,47.20636596599108,48.80902423819601,49.94170041849266,50.79667846960618],[45.67105997702911,42.695191960918436,40.39526216698059,37.200681112620394,36.64985658617308,42.40392998449644,42.5145132776044,46.66971474165306,47.655334485948536,46.3887493438279,49.79223794562291,52.91329808682057,48.98487375044699,47.74779579218596,52.21908191797033,52.25963442537264,47.9138327082587,50.1709469808826,48.39699092440351,49.68225018167087,50.465043374468166,52.558197000540424,50.286934130769076,47.12054118104405,45.717250166984485,45.19351376247287,44.51364393027342,44.529334974805124,48.52852848967896,50.90521604086423,55.993132022382014,56.07193035329143,60.59804492604681,62.06381255680734,58.18495051699494,54.549591669391376,53.736199980759245,50.0107066065473,46.94056875048133,49.06551886043559,45.559982862870854,48.60883535412691,50.666856805952065,47.19310783627935,46.99530282654599,43.21348105611884,45.05276368518616,47.169551876793214,42.366647918228125,41.81115969224701,46.858378640162634,46.955705324213575,50.92909211167884,48.454055696517116,54.070254582235265,55.72271389992815,53.17978503521687,55.55918987485442,59.44915070756815,57.692500850214564,56.69520418382017,60.79244526321414,61.52776293859153,61.558317510648955,57.6143193467963,55.967340803909934,54.43301253175154,54.41045433478173,52.10445330089618,53.33097685899693,51.875975532514246,54.42257291401038,56.70234165687425,56.92797545991847,58.012973238372794,63.34475970640619,60.016443451064426,64.17373165208483,61.372599712663494,59.7062232185882,58.460242595916114,54.891235558984924,54.782262295872734,51.16905908608127,48.13821105223298,50.866388237714474,52.963797784258595,56.68757226465606,56.36452571058906,62.12176164538507,60.608562164988435,64.42267223424739,62.7640074119092,62.25022071426438,58.301831572943335,60.38814736686414,56.658831069021026,58.595049247261265,56.8413770387556,59.596532389390816,57.59726384114801,56.12784533746566,54.699406791355244,52.05774617319048,50.194417069572594,46.994744879911934,47.56474997645003,43.663787690294065,42.41263189504123,45.734473845855646,43.23766945923508,42.455508641072846,42.90957245061509,40.12670488078339,42.46810437347341,39.32522890766429,41.69381337880909,38.40012259503762,43.2147432560145,45.78615313273107,43.78298508192234,43.40481070512191,38.720538583116074,38.79792968632705,39.636978173627696,36.6926904535631,39.66518555554407,38.15270741737572,38.59379180437505,40.91689419535446,36.36579214537804,39.12788904030599,37.02281498806683,41.65054654370381,36.405841435128586,36.24280725223211,31.777976524749636,32.250270217557976,31.82840956794327,34.511768602676696,32.367088661081695,34.86185026946054,38.65263020127965,38.28473963391447,41.03162149403326,43.87268889198049,41.809373183468004,44.65509766611572,45.05932088790416,46.3050230966619,48.25622742000598,51.27140432653966,55.060532501739424,57.73373272325116,58.20515387304204,56.38965650162934,53.15899789585214,51.724876251980774,50.85029498221459,47.46596635300024,43.067602172411846,45.37325462274434,39.56145648793378,42.4995253333103,38.403778176827146,32.879278182198526,32.979753364371355,29.326189538844016,27.97461245257803,28.626072320761708,31.557575785787144,33.98188039332546,38.513441047393414,42.33119127563679,45.9256675289464,49.40218496752632,50.664367106144915,54.36522314061114,50.307090722291875,50.49944794605309,45.51241357721863,44.99381236341278,43.716550307635586,42.41615400271042,40.30834078856432,43.02889868932085,44.07631803803639,44.88154890259953,39.554271121258104,39.164429343146075,36.08266246659825,37.21126180421282,34.65252974527297,34.0810140075373,34.939245517680746,34.56557635577861,33.503054133837324,36.33411367639528,35.94657863510591,39.53749735557831,41.36088981110755,44.25635945692859,41.373699430467056,39.21419506095061,43.43279636165608,43.546196553249274,38.087777032796154,41.084166301065906,46.58191881808241,43.162861860412065,41.77584154914293,45.37369615032176,46.74053479833368,43.03825268913097,43.60969676737907,40.39124478876109,45.42267236270357,38.47284047953241,40.723147374499696,44.66090325129634,45.40146238227746,49.31473612758272,48.82412830560214,51.01425741732762,49.06783696521103,51.068127582084486,49.97242258760667,50.287248384452575,48.18160532128699,44.07103598740555,45.578996082598024,44.58489959269589,40.840055432977294,40.0177032471913,40.83604249266711,37.53828505293069,35.2107519386632,35.22336598103553,36.81058797017086,41.47108960482776,44.265793726380394,46.75525894637871,50.31405409044925,54.54092744719452,53.59701695339225,48.932681059966235,52.18954744820237,55.16841212820064,51.28167004057539,49.38981833741451,53.654076145753464,53.72310443987797,49.883354954409555,52.64296925550706,55.30941317522769,52.798197197848985,51.05292573810562,53.56196031536598,50.381635777455315,51.77190491532785,50.123455766489,50.63359920283754,49.7326722045012,45.35340404197709,45.67093015971161,45.11271011523669,43.01704037360536,40.12854199874068,42.217996319317116,40.24781802849093,36.620445062937044,36.2354153617754,37.809179828199525,35.60357635231319,33.10479984435312,32.03921598939805,30.404305788203892,29.246961755285806,34.189969210758456,32.97335075677387,35.68415128438623,37.102258829366626,32.863143927529215,31.372447284437968,28.896805837247584,29.288866958121098,33.51051806499533,34.57919117200568,36.403492956544994,36.793038721907024,40.07612436771242,44.52937886492697,47.16219264202206,49.40751638665259,44.93652983008237,45.96030646025658,50.153022734007926,47.84604335257278,45.13622081532022,48.550801134152906,51.85483747690286,53.49208398463883,54.62600976435886,55.455795430030896],[44.83514039690752,42.062281008963154,40.22760374046146,36.99271284469873,37.1625683319034,42.65785667748634,43.10182467710593,47.429378176529184,48.18566754666031,47.15604583451558,50.53045268861859,53.76214270341566,50.17027445246248,48.64777426636052,53.323270144071046,53.624493007002705,49.39578291873035,51.84875449304704,50.21889256206741,51.83857764918925,52.76837395905288,55.15951711630291,52.91049026774288,49.754694849751125,48.33313700113108,47.44769149075043,46.81088321523726,46.49964439385301,50.41365241376433,52.68484752556097,57.58461304192379,57.74054703890237,62.22566460119993,63.91735184265447,60.17234500036024,56.58775376481545,55.83171946487027,52.35654125353073,49.447566891594946,52.01589975434292,48.43139803673142,51.21630829921702,53.554204421105005,50.17527259643468,50.029147287783,46.295822902585414,48.38659709785507,50.44332093395285,45.532050603981354,45.32839314140886,50.39623857725598,50.505852758653454,54.44333318210488,51.69270444373788,57.35369788129048,59.113441523601914,56.36533440203711,58.55351595677278,62.600033918534045,60.89981464556562,59.595091953047834,63.510173140495105,64.03646297155366,64.05908139063834,60.21970248844524,58.455647132606956,56.55845259949583,56.340156494279626,53.75087222154574,54.7136377084573,53.13831367298183,55.5430554004807,58.054047842105405,58.599847987170236,59.75793615046461,65.32399114375553,62.22799436393445,66.39228243621052,63.76986328514029,62.358554408851084,61.08282198476556,57.731555251567464,57.5184316142369,54.120334758866065,50.97653697197674,53.43854607711938,55.52848122099718,59.081780683076516,58.65641724258261,64.27303628666698,62.55173698107521,66.2572478355213,64.3898442888908,63.75930743309754,59.65285513337645,61.5048643143898,57.631507417444844,59.85588011356017,58.016308594107635,60.70800835900487,59.14461937211139,57.68302350735557,56.60659844862035,53.92266942728422,52.49003866867344,48.98033907471063,49.63613413754709,45.76525086107486,44.10411691003319,47.386877617822236,44.54634748138233,44.017101627280105,44.09593083370189,41.54314692338129,43.7597832629209,40.71364650894175,43.26741443834831,40.052368398632574,44.926715925156785,47.31790334487772,45.03634859665901,44.48720237999192,39.738034585565835,39.766559255520825,40.44788896713085,37.90751072151864,40.648741539843755,39.605447331770804,40.23389723156924,43.01258838264588,38.42954598262612,41.468054512697826,39.67934953262847,44.24196887725031,38.8847397814784,38.35707040341475,33.642941063252245,34.116760198311205,33.52315254413526,36.502840552377364,34.38881211804674,37.26824760149454,40.857020884157556,40.39750486876929,43.404629766643886,45.964179655337645,43.70982269913633,46.36456575495026,46.72278533155685,47.565622328224215,49.49792947086068,52.18426897410447,56.091445280686486,58.36734442333437,59.026911504214375,57.53164061964366,54.40439942455578,53.166156232013,52.4741877233072,49.28090915103698,45.156370584159724,47.59281648561711,41.863386838104674,45.11418398830763,41.272637108160225,35.71014532690024,36.006969564615865,32.61922016792625,30.939539438659494,31.22687310030247,34.14443275262268,36.383706810188826,41.14448265754536,44.911173726814035,48.41781769543259,51.78094037048093,52.81193834540993,56.79913217370755,52.94262482536631,53.19677525545521,48.39044795043275,47.46058546356494,46.61109795715545,45.57186730746209,43.37644226137725,46.2999250025992,47.22310276713909,48.33156808025282,43.026455142489176,42.79427345818799,39.80298014211537,40.63833614332773,38.044496015882714,37.21078693510485,37.947897947103726,37.3892888076586,35.874501588207124,38.521147819715594,37.64790950302994,41.16052032189029,42.748070031014066,45.50782865053557,42.53227220006589,40.12811875814846,44.241080091813785,44.15470717548789,38.43192889546163,41.372584564887326,46.863425833729714,43.12933474518277,41.51404340922968,45.04814327333221,46.38616412994147,42.3939339303151,42.78694218262697,39.72504098768175,44.7774129392423,37.93560174382011,40.58800702862099,44.4747170807618,45.507373821949614,49.1506729533466,49.07280243254923,51.613970176255954,49.97766287104127,52.267044121902835,51.38873343167434,51.92851764489735,49.54075751582636,45.401098034373554,47.30122142618383,46.367538310549136,42.37358520881869,41.76471741661603,42.992761327084146,39.43627439908009,36.831061556220476,37.416243473181005,38.43288437159894,43.4502231594076,46.18496986300945,48.27981183600191,51.980589667830806,56.009201324893866,55.17082815417918,50.39680677845658,53.299519985200135,56.300991362111475,52.392896603745406,50.2200009453014,54.290954727579944,54.241040996893155,50.246015488551784,52.96562032358974,55.473782271791954,52.74325459139016,50.94897263149823,53.51350088749693,50.45189642464087,52.165029712401285,50.84359009725799,51.460842990605535,50.121855848440084,45.773645371582596,46.531675769678216,45.709136316505536,43.374322679126614,40.908651836726676,43.13086454783635,40.677326510204296,37.0597223437976,37.25957587680501,38.676279526986235,35.98874086934897,33.45323146865947,32.1063838007782,30.206223493986823,28.633071795437253,33.41869707222484,32.280725706819595,35.44810200218502,36.77487799127156,32.25623508968943,31.20043228289548,28.83739961465492,29.801508858632715,34.23355754299377,35.423884185810806,37.72794718782341,37.94449470476665,40.7445329815359,45.52582794277218,48.00089300649286,50.29567042627328,45.63074777307449,46.29797941740802,50.48773565978374,48.2896301767662,45.134851552448,48.43423620577923,51.7297992477783,53.3076664992634,54.348689955868856,55.20362743160796],[43.86190674298121,41.30572861523378,39.87959153101257,36.067903540939035,36.78159660149453,41.75002722563375,42.102106406331956,46.551291864016896,46.77154851483374,45.57456727161645,48.76296606455779,52.25533663600325,48.78714618941845,46.78646743734368,51.50450964724301,52.110402657630836,47.875032673294406,50.23388326799999,48.441615202676914,50.49817567223232,51.34733162558779,54.03745999389619,51.69421245591746,48.47309096170852,47.25560684267817,46.01438604634543,45.69993526724307,45.24466048566258,49.178222789269654,51.594125385956175,56.016706036602244,56.61262849632254,60.978541092200494,62.66196004349148,59.133461340041706,55.46470717657459,55.07941882570795,51.58306156275292,48.85438128791214,51.91573709146276,48.07899535695985,50.33303224126404,52.91923559842221,49.589869674275334,49.28496277785881,45.59830763929042,47.969549689952565,50.12152419099028,45.25656191301076,45.51638991274691,50.646034384909925,51.013208652580644,54.79884146813123,51.767655420386035,57.56159828889466,59.18803389200646,56.06587423302576,58.200436238496884,62.36308755808334,60.5046197159723,58.835101513752235,62.54660873959136,62.94249242250105,62.710325082382695,59.01357929037991,57.32931372475063,54.90836719167211,54.68908239069277,51.69979797017686,52.5829058524229,50.76948109843643,52.89742825802305,55.72937064919159,56.44038617079803,57.907573990869366,63.6041201415522,60.870191329825644,65.13048003778349,62.7960072106674,61.67607215758924,60.65123276461829,57.61727747254596,57.617322892362026,54.48446133491418,51.056610627245576,53.195958532338054,54.96634348353977,58.528531890513875,57.662416972805275,63.192510537148934,61.12818957118234,64.5818870742314,62.64110714319815,62.09780111290089,57.96011948886426,59.56816312754566,55.675525879786385,58.37749821488997,56.69465779010271,59.65337120485764,58.28511918216705,57.267517130451125,56.260268106651885,53.96708130350629,53.02923025471266,49.44055364484669,50.5543029388266,46.88232122177455,44.979286212859954,47.95687111835939,44.714984287013316,43.92743004282316,43.457673723712205,40.828391480266504,42.50623833942413,39.37203817130288,41.78671598045273,38.43966270241767,43.039908449654064,45.496974317038465,42.98222469280288,42.54217792250987,37.81517129227659,38.15074074355801,39.07822381492935,37.13748657216347,40.23572615045372,39.58233291715524,40.6995098102594,43.752115643274266,39.5685355619706,43.007221549546905,41.16356101135687,45.43861610868423,39.818084241111485,38.70547917832181,34.19115905254126,33.99322856714471,32.816084860555286,35.83503125901426,33.24984233205524,36.25582393881643,39.699634827861395,39.44964738728255,42.71797052828606,45.13239381142503,42.85015727777085,45.55745758388981,46.20260536131163,46.77900521031827,49.061445169791675,51.35353667997824,55.55620177374574,57.504728244417635,57.983884053234306,56.73666797763034,53.523686458327774,52.70404652397765,51.820886081595624,49.154912884401575,45.090171963668816,47.203187151003505,41.51764298380061,45.0015098317475,41.59703724109041,35.91407127019777,36.881670601743224,33.769897752512286,32.19830421016638,31.80487819454258,34.86128186565269,36.58145835562155,41.54684708121002,45.246290197264486,48.55446288245993,51.94895758951024,52.506516775390466,56.85443355225394,53.11030618098224,53.6723473213348,49.00878983107099,48.06840286805404,47.756818655275694,46.97118887613361,44.45604211694399,47.14874079319175,47.584641555716054,49.023652275135326,43.548675753664604,43.8819584872636,41.20988617969042,41.86123164858368,39.68376067630191,38.893129531319694,39.878763640162596,39.629489366012415,37.673901153094846,40.49354804948722,39.441154627639634,42.544759792762285,44.43442416380259,46.75854436680107,43.480763622950064,41.41384887192252,45.56903161735097,44.926548661900945,39.14154903606923,42.44640195201716,47.7289921655429,43.445616604711944,41.990407868888326,45.62667028589477,46.494182860159505,42.28284054914715,43.04704594146214,40.23484945539173,45.57951604848482,39.26767360171285,41.969512431287164,45.93356095250635,47.535961679804174,51.16770542304666,51.438556168419225,53.89098487001971,52.32822932899587,54.72745628516935,53.62083769797883,54.59465363324833,52.30033064776008,47.75044957765003,49.79550012204467,49.36243105661087,45.200560276152466,44.343383504789315,45.842659785992744,42.63476405354846,39.69959633008399,40.01420696128941,40.62141609102523,45.43180727916696,48.359384330493484,50.207989930911026,53.77890019560046,57.776809379953846,56.61336773779229,51.84958936599025,54.76038381066302,57.47145548293904,53.313446740084856,51.263727971413715,55.16590213753017,54.80806197182501,50.83120483181029,53.87891771303313,56.10583283239794,53.00140218662751,51.59100556116223,54.42870390084615,51.583265355277454,53.58690137136253,52.328072417158744,53.3604213883121,51.87585754498222,47.234858131528306,48.44524899652997,47.8322090741509,45.23632831151894,42.85858106761822,45.66045373204402,43.13636659012475,39.13314062142362,39.72536218394173,41.58863203461917,38.72006854033005,35.84860570091051,33.85783753418871,32.466007853298336,30.20265541874003,34.79596847303139,33.03801103361871,36.28690663389083,36.957561083096415,32.36680267886419,31.771762681914424,29.959325255660016,31.07320955845391,35.65539903492932,36.187362043672714,38.776588008615335,38.304875422504765,40.99490488705295,45.94829597838036,48.52793881600819,50.454860624469084,45.58064700212803,46.36594959295604,50.372268113255906,47.79128827754442,44.578947859121925,48.09654347051865,51.14906080602943,52.664403320652454,53.66606666448181,54.65578988324908],[40.83096104717895,38.44895221839765,37.396718544489076,33.56986691723334,34.854824989114114,39.5267906650821,40.16351135202189,44.6939786278768,44.76525526641837,43.84423141201169,47.00566094431528,50.5063044848625,47.401246368707525,45.254207248730474,50.12699537129048,50.92138028483532,46.881249235025095,49.492758580913915,48.012092821731876,50.282694004029615,51.39927640789508,54.35285793600766,52.15518752618025,49.07006098833515,47.677059682672876,46.0834441011909,45.65184908228193,44.81189255284854,48.562435455905224,50.7640928207445,55.071645324412955,55.603958455080054,59.91549188091218,61.85613004077264,58.45333530656584,54.91983347159543,54.487693964970134,51.36414483098788,48.824350519033544,52.295815321231274,48.49979929054309,50.56641773136998,53.43881394450868,50.296158885212556,50.21919782471618,46.68185774018206,49.30930384850364,51.200040661382545,46.19741944434138,46.81834541220354,51.865581923099235,52.13681740631711,55.873422626566715,52.52698364323056,58.28008613150474,60.14118706839486,56.87521349000404,58.68752669257808,63.014832638992196,61.37333679908296,59.37842922269405,62.85922655888904,62.98448342601848,62.905022505370454,59.33136456280563,57.41540609585143,54.77136086270843,54.25393135149969,51.13346921270687,51.679015335836304,49.86346196001785,51.95026994403776,54.860163093041685,55.91833189087878,57.277823255388846,63.178185652198444,60.617321312261105,64.7976647419726,62.6067297338874,61.7422625443618,60.58922200060837,57.78435483547223,57.591055760606395,54.705910785068134,51.23174028539312,53.08243801245204,54.92715248667016,58.218988110485476,57.3841221014025,62.701434017108404,60.52251400693635,63.91563263744652,61.75060022230484,61.02701349218384,56.75249433940528,58.16435958615342,54.15439990363611,56.99289750911575,55.19328361226235,58.009797975994104,57.06078383556603,55.99347639022147,55.3494659609418,52.99573750537829,52.47919855872905,48.62345005930121,49.81644776744004,46.223672656609104,43.961450148365984,46.85086598934731,43.33895881563698,42.79970921213009,42.019278062054525,39.6775298382142,41.30002789116056,38.36226071092695,40.99531907913613,37.87920742215805,42.61404370266308,44.73410416501525,42.01268505283695,41.31882772154183,36.60230614893795,36.77215192558002,37.45672002276339,35.87101568233956,38.652052458720064,38.42367621495578,39.68508583590768,43.11616986734382,38.9921823549923,42.664424931591526,41.15141659122065,45.28274318752931,39.63568603528708,38.19111017029302,33.52986024393538,33.376624178938805,32.14139817727212,35.41989473338893,33.12194474270165,36.5449727291674,39.664129460984164,39.19864788899917,42.646275409116086,44.69788207710739,42.22863302439213,44.65616605740865,45.18685783562001,45.38138337648691,47.579611952086324,49.575938873670566,53.81665179999465,55.419294974004224,56.08200077904425,55.11162113078835,52.04097733450668,51.37137176534835,50.710181879967934,48.205375808614725,44.47940326346462,46.76949175898777,41.27191477013763,45.0255455401523,41.908140494015626,36.32836707103541,37.38753314086059,34.65166671076275,32.71237932029544,31.98169843943632,34.915303942294116,36.44523533882622,41.54481197305046,45.130355562046816,48.318233716522016,51.53411472420752,51.89956669823923,56.46558474947067,52.98366675124017,53.56577301962027,49.15713375670388,47.75684792068127,47.89647333075932,47.4184657300678,44.850136082496086,47.79591234029567,48.16579468016618,49.94358849674142,44.64877405230385,45.05068515849193,42.495525333644906,42.73711856736151,40.516553412680196,39.43184084801834,40.28381671077948,39.89608903838918,37.48388002593769,40.12033708931739,38.6591120609268,41.56765192210591,43.3129252052668,45.415060764320785,42.061357561626174,39.911503846475306,43.945365269204125,43.059099616079976,37.17458548644944,40.47108831038707,45.632492260514944,41.09157961270745,39.55027085541894,43.12963555484556,43.870835278515834,39.502475492433625,40.239314257715975,37.606109402527935,42.9778247931258,36.98169822585009,39.85492652859066,43.77198692205308,45.718449764755654,49.21454838934349,49.803353820186594,52.35454836117371,51.01401643197125,53.609609214251776,52.572356447942575,53.84346870362873,51.42592063605785,46.74559022622429,49.086868903010256,48.89333722106597,44.539700547441846,43.74201527339421,45.61173140795754,42.39931587218303,39.18762059622217,39.80148771778462,39.86131789228499,44.81766320544388,47.71167976042756,49.18246473354559,52.79117601975906,56.595539952869075,55.4503991475254,50.65196109632501,53.27688659499092,55.91836840145476,51.73639677346584,49.5274464114407,53.22661668279015,52.736344265311054,48.69725229544951,51.75872915758253,53.808591696134975,50.52229027000598,49.17426732733406,52.0875368530513,49.39192985256668,51.646238112233235,50.61439572928285,51.82920985825318,50.056174357185675,45.38471222513856,46.987080314452875,46.30156104493125,43.50716324413454,41.433839600300814,44.4976296327415,41.717927737096836,37.61628340220275,38.68554028905032,40.634197544616285,37.473545508752224,34.47637564961814,32.122381447227625,30.84971260635345,28.15714081896143,32.498299400043486,30.59043588158707,34.04382545215194,34.4916901099865,29.810736616363474,29.599001009493904,28.041933989247465,29.51193312891046,34.15378449545166,34.631797680281835,37.57936187963509,36.904145626538885,39.16045230934538,44.308180008886474,46.74358831032246,48.64866405553806,43.671835918055564,44.18985829849352,48.127431328089145,45.63998648722882,42.13179184528231,45.53740309649915,48.51839324929908,49.98057693388147,50.919902740454056,51.950934430772975],[41.53657574214445,39.423035200463865,38.82761164445394,34.835641685709476,36.67238108712534,40.88891929357277,41.63199053724451,46.2113634874297,45.931237196350196,45.05482635643314,48.06053205393644,51.68736814406745,48.82796605892033,46.35996360831339,51.268778580804955,52.30816524610184,48.36142989490115,50.95656728889548,49.44970265559881,52.020508341183394,53.11488697671115,56.26339042965979,54.034081681455284,50.93589971313605,49.6783441601712,47.84088265037759,47.59925661655335,46.61299475480302,50.29793158602088,52.50914881956915,56.46741673010005,57.23907359355886,61.43757308978397,63.43699892459776,60.214034698168874,56.688321509537985,56.45718744688592,53.42769392355713,51.04244470193267,54.809866636888,50.91250012591081,52.64281496348434,55.667820692775315,52.58760784680324,52.42132392307651,48.93560403083402,51.700082912076,53.64631400612858,48.70008025675359,49.56909842215302,54.62027429105706,55.0162780496611,58.65475180094261,55.169240829015706,60.955748005390454,62.75262658835136,59.29262212651607,61.042063088981735,65.42503025695704,63.71286188855557,61.496872750671656,64.8142425881443,64.82752956765138,64.60306513068107,61.154682684969536,59.27747562510383,56.283600224251806,55.72095524319953,52.3276318864552,52.7389799680886,50.76807475508269,52.617703566989256,55.76428804681632,57.005728317257436,58.55141440875692,64.54275209806056,62.26427784752102,66.46631222228557,64.488041196507,63.840056784340106,62.8107654025719,60.22674610441996,60.10704226634382,57.40768527041054,53.810668668816305,55.437482606761584,57.11555489747432,60.338110729585225,59.268566484361635,64.45807135133349,62.058301781085845,65.25730299536055,63.0020365334405,62.288636422367006,57.97958198466273,59.15979799812268,55.12304925919309,58.28895972787051,56.548357086768604,59.433791890480244,58.7606209859419,57.90214552405112,57.426625724345584,55.24518964099285,55.07908126828979,51.12739064152509,52.506158813822495,49.02906901493989,46.56360772343325,49.2922145825143,45.545297111787825,45.01381194266536,43.871400060927314,41.63202537567395,42.93169004242536,40.0449061815717,42.62122961837788,39.521214701028924,44.03861099221616,46.10638680012795,43.208913549314765,42.523798803079856,37.89377831938666,38.19577186045434,38.91582972718687,37.807815873470254,40.58008692198486,40.701295733054884,42.192572372410375,45.82973624943195,41.89178687649939,45.73019989074717,44.313609248326856,48.286897227826266,42.5848307510988,40.84304946241016,36.26716308716177,35.86557547672206,34.36497886744044,37.6722173229988,35.21369304419425,38.70676133630659,41.65500883687997,41.27845671960258,44.864063332896364,46.742730601655815,44.240089975601165,46.5909303907467,47.224145221045134,47.144383071758675,49.45352210699364,51.1127759651419,55.47978220509043,56.73626064985154,57.403775446309055,56.695761582551285,53.66473356847144,53.26676686958465,52.60209127177352,50.423920587671844,46.86382139927251,49.02743590890544,43.64781372783582,47.53275791056427,44.69526445358484,39.13857577563035,40.477925055123166,37.91759347224948,35.98842929576047,34.963690239628896,37.889847753244325,39.15199885350701,44.31297355189149,47.81505371512342,50.86212854999036,54.024297551032966,54.113716872038054,58.8814069065691,55.53502168915762,56.25488131905595,51.99099562937937,50.4857123780949,50.94077005965502,50.61900098848843,47.94114617278512,50.81557957048912,50.960494202933766,52.90754128819058,47.58084378177617,48.231787493194844,45.82408460924628,45.96502248759097,43.90120392115789,42.79080803478226,43.682032311352344,43.3387211357024,40.704767287171116,43.297278161130215,41.63855670750543,44.34599557064215,46.06865411605839,47.94894478016024,44.50530885579108,42.39893246573938,46.33188160118991,45.18177846066007,39.26694382295435,42.58879411809039,47.58719111514321,42.768510189949296,41.19604738427111,44.70642205909439,45.24476122163949,40.716985246166985,41.47400551099126,39.08206212603526,44.45366902574393,38.82309114208144,41.86688257883725,45.707927062813866,47.946186396567754,51.262460486023194,52.14336996143813,54.80675594734192,53.655701266857456,56.38899532675354,55.39408187311145,56.866245445212336,54.37502138571696,49.62551161175143,52.142493124570194,52.09864914139135,47.647985012930455,46.88252019741628,48.94589718523079,45.74863617421293,42.40248487288105,43.14315412278424,42.899559269401635,47.868639356438365,50.76685352423397,51.998956240541226,55.59076120791351,59.265252978114795,58.07277063142969,53.28093886256361,55.725155620769385,58.25474724637175,54.021239675360796,51.75296081809658,55.25728649990857,54.6048508489122,50.54892441005739,53.665250987788816,55.50930960625928,52.01153419570016,50.79681654665999,53.79688398673234,51.27286700288234,53.75932660482591,52.9201797508068,54.29871639943769,52.28985027245595,47.60819813119597,49.53417321142709,48.79287354744087,45.848918336597606,44.03563327763109,47.26929141194685,44.28555361517805,40.16373648691263,41.57775883081362,43.532122058412405,40.156157721750894,37.128762109965066,34.53147275058811,33.294882094884315,30.29239301979888,34.34057309001131,32.33789732459682,35.964394860896675,36.11534838392517,31.398091561759667,31.59410408891349,30.328093142312376,32.0555992346593,36.71179895488424,37.02362479315369,40.204572064841585,39.23494512243649,41.196592669519404,46.46310950170927,48.82643166417775,50.58343893524934,45.51858938702735,45.90349424929423,49.700890709778776,47.15201101204606,43.46281963324378,46.8272078494159,49.64165600231139,51.03522497063814,51.88850124669554,52.98648851635995],[37.974005638760744,36.0505284048239,35.78733834766408,31.49903063738356,33.79314669792368,37.492276552235175,38.27473021906339,42.86773988309594,42.26803562150965,41.464943341851,44.34224755669871,48.03296274209737,45.453247471435006,42.75664398294761,47.71398296113225,48.960167375472885,45.18659730453603,47.892864788882946,46.59637582576742,49.41492870124526,50.69167910390268,54.09691859072771,51.99968991809774,49.04852369244019,47.697694880776346,45.50004052934517,45.25338101909202,43.945269414309514,47.449460186015486,49.53631706166468,53.21577351197855,54.086898316595324,58.170364725433245,60.314589382426,57.27496787833843,53.84909156906724,53.717444791447015,50.97488584505186,48.82256197351815,53.01831623525299,49.12113440682905,50.513895644827045,53.808042047322886,50.938641918953564,50.93860978656914,47.65142649430709,50.687157234260965,52.38489165697485,47.39945351170705,48.71329985042079,53.63878348433613,54.032362458178206,57.53397469782144,53.733890292099815,59.46704631195427,61.39522161266701,57.733944050122744,59.18070029388289,63.69368677858682,62.135432416671286,59.562352009698216,62.602680264410395,62.36069140549998,62.204362267036814,58.92181093316389,56.88789401617736,53.616528011205226,52.82180663703291,49.27023773252222,49.40173236200635,47.398914394347955,49.15089876864664,52.384028449101244,53.916850549752716,55.42880699827672,61.55865253709515,59.51857011407833,63.651939095305934,61.878926722706204,61.518388375450556,60.48524031117703,58.207767464767414,58.03620059923198,55.647209656755706,51.947615290475696,53.22589390650529,54.8209930705874,57.81906402312526,56.634945441869334,61.59737767737879,59.03401559851622,62.09784440162106,59.680508091921766,58.87613332475374,54.504956437982344,55.4800292164919,51.40016416278413,54.77701204465372,53.04567998375024,55.94377985268773,55.5722991582891,54.89491578665841,54.64756745815024,52.64459531764107,52.949888105761346,48.87885619776047,50.528357892697734,47.261248476954236,44.54582222017714,47.0054570917127,42.98322216009826,42.43205078912664,40.88031263063934,38.801665701327614,39.80898703899881,37.07040534003921,39.691861809169176,36.78303899603527,41.24192081503069,43.0337282702039,39.965570390611475,39.14670169421476,34.62088122519442,34.92118876225084,35.587298888897074,34.98111676255369,37.710686576111236,38.23691626164703,40.03006321712077,43.91974129780492,40.32996138573673,44.424992316003355,43.17165418665275,46.82788034175191,41.091834288768425,38.906725880215724,34.49347418862296,33.78478645030372,32.03329803467343,35.42440104585775,33.077960879532526,36.843610071923656,39.41580874402186,38.94937589151788,42.684944130983986,44.2159707349273,41.620979074270934,43.77048357642183,44.450391321178074,44.0443717599112,46.44793170726628,47.75642828588941,52.235932588506095,53.186450486701546,53.82534244297087,53.357681611813675,50.387851242783526,50.26411551782882,49.634762996261685,47.81950513086684,44.53850935994669,46.63372056348642,41.49702809721927,45.586174592356514,43.182042921852116,37.784206721993286,39.43599822366872,37.32920208842593,35.265250007841274,33.738482934304,36.554957005457275,37.41753345764343,42.63014988481684,45.95961146404752,48.78965163931819,51.8082488176454,51.57061143419165,56.57011406350688,53.47938089704057,54.33815547215956,50.364517955980446,48.59406110586392,49.57698940941751,49.577918666189944,46.75685754895056,49.65217663231847,49.54829603724633,51.85360850916357,46.69385776976812,47.60089539440569,45.458311526751714,45.21345127188648,43.355324525169834,42.10457625218064,43.03270634411898,42.80737645318117,39.75109715918132,42.31301812838741,40.43276216779375,42.72265140084677,44.589182629468745,46.05531460820423,42.44869863482829,40.626850640630984,44.486519428006886,42.89454167137754,37.07049498740607,40.605537100331674,45.31556129945476,40.14838337420046,38.75807529177714,42.2885525910828,42.41991142330349,37.83123285704707,38.9246800567626,36.782329359904935,42.30706512142609,37.29394520582596,40.22408105328246,44.06692126375961,46.77605383400786,50.10331037307842,51.22722148897368,53.689991822002845,52.60355081358463,55.39311789288106,54.20579849638725,56.07695969526994,53.706767463342985,48.64667220422165,51.28451781458699,51.72371744890752,47.17836182680816,46.212903667968796,48.54684674846235,45.714084182070955,42.09862459083257,42.663357177824494,41.96276760125346,46.705922313962716,49.68516682930383,50.61847773272211,54.06164884246049,57.61653877851278,56.201446886255034,51.478735198793295,53.837143314743805,56.097813697104215,51.7369418506082,49.567468759307566,52.86837725421983,51.97861550599006,47.99493524231011,51.33056673262679,52.92186719376283,49.180568727504266,48.30406366540753,51.492302211428395,49.18382669937659,51.86387024061427,51.08098434592379,52.810143141444435,50.72690617492322,45.85293074765271,48.14076122571296,47.626434192668164,44.51113104785996,42.796183362350114,46.51381830756323,43.573307089649,39.163588674172,40.891583594835026,43.258904099247175,39.84124189967807,36.55629864529097,33.44428709785824,32.82157483374492,29.328719849343212,33.055434131271255,30.487400267406237,33.99440167946798,33.57123790539663,28.980408748993405,29.55523130717259,28.839781860022004,30.61788076773282,35.21846737562084,35.00576129451069,38.38976127818631,36.929078569476204,38.63162027310878,43.94927253562635,46.3028823331168,47.77885440108926,42.64211259986168,43.04197706514878,46.63715575689575,43.90273885889821,40.18014785725569,43.62224596295079,46.224231638194986,47.566060680734175,48.39382035435359,49.59224539754785],[39.99962107551176,38.24919794254073,38.28554844114141,34.47358940684394,37.104243954979495,40.80215020477976,41.96449379595095,46.56342089130069,46.078428622948174,45.60662318330827,48.5091560393134,52.101435315101426,49.779819030048,47.13633872146107,52.16755894324488,53.452204198838665,49.80580763933088,52.65306398267142,51.50167052001106,54.308747489727814,55.66247491881296,59.067220736867796,56.99458935507213,54.05099039729394,52.65995961035453,50.4716456967277,50.13715147388386,48.74743811870547,52.17309688530566,54.109444768415344,57.854235404851494,58.56279934750677,62.64372014234983,64.9376069014536,61.90517509076495,58.570458474727964,58.29837823590748,55.72386043224193,53.573194496881804,57.72891475211785,53.908223454905766,55.417188872841535,58.70714195365678,55.835553052632164,55.870151995061796,52.547661519087775,55.52185337159398,57.23500350961116,52.206193501439984,53.393960412396794,58.337620676781334,58.641405905120315,62.21530169669465,58.45850871242754,64.16141083279791,66.17288668076043,62.593750301324334,64.01463581482784,68.53314326139571,67.03490849664105,64.50401530682214,67.55428624178796,67.2790969811523,67.19061699916095,63.908730525936996,61.81973152783004,58.57503521418376,57.698025294918686,54.15575270598383,54.164462719974615,52.18654923497707,53.91003974419178,57.16120103604608,58.807331686732205,60.25642543318547,66.43224113789128,64.40096083930874,68.48624362072943,66.70119541987346,66.34666536274972,65.19330895561046,62.87732002242557,62.54367261227874,60.12767074817388,56.524931937482734,57.83108438458508,59.57203785892085,62.466478033934344,61.42965243097692,66.32709343773745,63.79583651594694,66.87287267437964,64.36706828395512,63.45009160654309,59.01484180353874,59.908379623603174,55.76676562597439,59.10761138938281,57.239843304369764,59.901573894666136,59.79786916229988,58.87316214475137,58.86834732083349,56.61411291551256,56.93373070415073,52.70554338605384,54.11046789046431,50.74916245795114,47.89339431019047,50.50511434304688,46.50365062989693,46.33762324677934,44.8415890911217,43.022560293286034,44.22607776006856,41.63991462046199,44.41083766066524,41.62770852919598,46.174176332470054,47.83550368437091,44.72927456741894,43.76496318038967,39.26242925040173,39.3705301631088,39.76196972491805,39.14215364603551,41.40715201624179,42.0633129157447,43.66062972246029,47.67672265172103,43.81902143715024,47.81316269603235,46.80928660939793,50.60951431784477,44.987767977835965,42.95765207613107,38.28652886017748,38.00425474352318,36.50102975279567,40.0090520606882,37.90170403711806,41.72761332976438,44.29737042475401,43.71243108981507,47.43232303621656,48.88821969566182,46.21571762760671,48.197417147180275,48.675676560857625,48.11441014619004,50.257599950187995,51.496490923399755,55.84481459394745,56.59135801285618,57.52806726355058,57.2176388750339,54.42303904438593,54.219005406662525,53.858114931629956,51.89317396752253,48.793526892787725,51.14116368661557,46.0492817814203,50.16190997830499,47.64052002451194,42.271272931893776,43.637726336132076,41.44252056124712,39.186670544311525,37.915886148476986,40.64988681981972,41.72838356932067,46.93533874276363,50.27135463216378,53.15824071158279,56.07873483557198,55.961233863798434,60.923994621928514,57.9026812219579,58.62065078954336,54.66876137476859,52.66833236165981,53.57209651150435,53.553540115006626,50.880895574999876,54.00288894036903,54.10747542101588,56.35137116647649,51.243921384635684,51.920413793274975,49.6117117583025,49.3924988159836,47.26189393961804,45.86529996490878,46.57064753581646,46.0252867562328,42.99798213422776,45.29356060757005,43.17816894271575,45.671555000366304,47.08836288620845,48.72657168468653,45.296284872090645,43.021671965830876,46.682204046123296,45.310822700678564,39.36493221373271,42.495453496325126,47.261626777927596,42.226606933878166,40.47668980611461,43.77330968503202,44.206261671047216,39.513649466571266,40.06893063884834,38.01152613373148,43.210649881827905,38.07834401852554,41.40072552133242,45.04186758520888,47.6261917025028,50.59416441786174,51.92129578596391,54.81555853881075,54.03038557118692,57.01134529527527,56.22739994697973,57.97026032555296,55.27366162738097,50.54840285074188,53.42187410805321,53.531277964404424,48.9226637346982,48.35235193839952,50.80116147126679,47.50826008179167,43.95715994096941,45.18693324818325,44.33592870857492,49.48801348210876,52.25103454328451,53.004577595161415,56.647165650018195,60.00821843597212,58.94294115863143,54.14955029109911,56.131727790548176,58.6048070050449,54.44182405408299,51.92335474879674,55.09611337747137,54.30722308750504,50.19388205039432,53.197955090471716,54.78675755756363,51.1048099663192,49.905846328352816,52.91475840061077,50.62484426743047,53.43158478691352,52.97710526910523,54.490893609476935,52.057062522148826,47.509254435792165,49.90349818110124,48.954767486432466,45.82042142374563,44.52931584566258,47.88816210987863,44.53200166323791,40.51321747222615,42.51809619611276,44.348928455208735,40.62007413589189,37.62938588653928,34.76830143108643,33.49429955672842,30.125272642208518,33.6364424696843,31.7129224438224,35.61326754470863,35.561848920564216,30.837010853409183,31.591336901064068,30.63560065165757,32.84905368534503,37.42505872162139,37.81206871439866,41.374009362650646,40.26288473416639,41.562333034338955,46.993693780314786,49.08058234624823,50.83799337294158,45.73161297138629,45.663938948978306,49.31662956814703,47.01179794549989,42.911099682013166,45.98533010131303,48.67247127883014,49.96967764450201,50.694206634553574,51.82616658001127],[40.293299434342615,38.23145556918729,37.77851608662132,34.31730244458036,36.39211167459448,40.717454811202465,41.88263431589057,46.45991178415881,46.45357521804821,46.014153649694165,49.138557429174654,52.57282515774377,49.99504622803137,47.741552238429485,52.77657905716526,53.774995191740544,50.01486467946686,52.916113085200365,51.79221974987176,54.245001774438904,55.61869268284934,58.78191920143574,56.72028240003303,53.75778976250647,52.22489959473955,50.34860289785136,49.78711394611671,48.574735952263765,52.09353208743696,54.00385825768393,58.21354403481022,58.59779660773376,62.83736060073803,65.09332179742587,61.823912787455704,58.47902030084018,57.928531342908464,55.246744491843984,52.88674922615825,56.65501791418825,52.958407475376134,54.9191120634081,58.00915206416607,55.028475213675954,55.13855927671257,51.71121463339033,54.48267465419876,56.1874593318459,51.086626359764686,51.904492218131736,56.874203830038475,57.017759720590746,60.74239742667615,57.19647237875935,62.869780025154206,64.95641112534,61.63862115778988,63.173931277592594,67.61805600200373,66.18320883582065,63.96060634383825,67.24506723806837,67.12527658532812,67.20202115646185,63.745860143305435,61.622129549875424,58.79805961141514,57.984749291467466,54.749487567913384,54.920715806420645,53.110503152414246,55.11097036009349,58.11314725355248,59.54589104446859,60.78845785867503,66.8756395817737,64.49188139333326,68.56357953885635,66.50221871231065,65.8636044338435,64.53757371206495,61.9153295485397,61.45955795533826,58.77699228695145,55.346698579563075,56.962048950976005,58.947119044818926,61.929970644824174,61.2093523427907,66.27999386868491,64.02027462591151,67.34779482494758,64.93665140596048,63.989193668262814,59.566720167644746,60.732786434208066,56.59099821298013,59.53860800265618,57.55473683008824,60.077705014584026,59.6959210928225,58.42769565546674,58.27559987615855,55.71244033892444,55.576473086356856,51.40662105342715,52.485769960133915,48.91905781075806,46.26282952148104,49.15917032461922,45.44960600295065,45.40791991354386,44.382629982022046,42.498930819350136,44.16770343901388,41.53045624515611,44.4178096833813,41.60468101642903,46.44634307520138,48.18372029301417,45.262999996822636,44.26507857298695,39.61986485347812,39.5325868550734,39.81581506266477,38.590905776777866,40.73673175380593,40.9962075152706,42.238584861705476,46.05486439057871,41.83461878005568,45.58747814756653,44.54958854950008,48.625465527374956,43.09589521959284,41.49339020501559,36.5947778667161,36.76743350005235,35.65231084268967,39.179471877914175,37.28817655442061,41.04261065951559,43.85732003171506,43.1535577381214,46.716948209509994,48.39407830457119,45.73485997353313,47.78881335865088,48.086128916496,47.82559210182595,49.759700215987166,51.417436198768534,55.58490217062993,56.71322406406689,57.74696387589776,57.14709549261654,54.33941899108279,53.76212696327639,53.483038693043184,51.04395704394226,47.76732212556795,50.35424474034998,45.09355369720563,49.058026688608535,46.131560870480826,40.715432602979725,41.64787360619299,39.18046904128596,36.853975613161516,36.04017367691193,38.77220597857019,40.265036735292604,45.41445847302832,48.875507720907436,51.973785298444255,54.950295263422966,55.224942208708235,59.93186256114654,56.737288434354106,57.23838716684177,53.08533409709319,51.15455507383139,51.61244450582903,51.37206595949965,48.88783061218845,52.16640203696865,52.618877084766844,54.60905341400367,49.52467365128206,49.822858329255816,47.26270364450929,47.213750256518985,44.78913654964654,43.38217763285849,43.954572076560034,43.22045293475545,40.48944549550048,42.73812648185931,40.76931848170522,43.63050104278969,44.88933665205026,46.91164910556673,43.65430505755245,41.10825747099758,44.841971090525455,43.913683944767975,37.901469199678985,40.84494360401044,45.899285437552635,41.25570207924655,39.37024025969883,42.688507432567405,43.53881960384489,38.97095630422761,39.26200785864687,36.8839189183093,41.98512828136791,36.22263149933232,39.54196457400687,43.22398176499765,45.356363436632506,48.41765303616003,49.443127654833255,52.417172558928726,51.51499846332025,54.41463696653562,53.76457618874068,55.17230428818217,52.40474362989689,47.920576290941945,50.67905124844596,50.417241641847305,45.89178646891465,45.470182829666555,47.71834621257094,44.15881629180796,40.80894552776017,42.198512783344086,41.68240845578592,47.03147461553794,49.703746804678815,50.70399529359508,54.47506557833667,57.94198784853418,57.08849010748779,52.2359568001425,54.307382171935416,57.03728851855593,53.008671452893914,50.40676133000492,53.80609606735987,53.27555050874997,49.104056173673165,51.905759939041666,53.78464419466241,50.39340730449834,48.86190826842527,51.689320047074254,49.15549647481025,51.71820551216051,51.14975265340814,52.34474009758926,50.05306043359733,45.64598794638143,47.662971752270316,46.5707785095688,43.61035727738745,42.16149910539275,45.12925018894163,41.816093241976844,37.993710651569614,39.68529959690607,41.23908451863056,37.60717640442542,34.78837545891884,32.35598098164757,30.66258422740985,27.73959168753325,31.608933671615254,30.11266144326978,34.027345019216995,34.54805299557648,29.737685810954687,30.03677964149726,28.560485514879918,30.67535696335264,35.27775588803267,36.15743743323515,39.523516598185545,38.928485391734576,40.46466900501381,45.82803273901045,47.91511501873829,49.98940629556665,44.97814147255076,44.902030735501285,48.79018372171633,46.714387240834874,42.67779570987304,45.68774373982286,48.650634353236036,50.031902541383694,50.83163072668549,51.84832974466648],[34.397184506638034,32.224294427629985,31.659518116538994,28.02092861689579,30.112996025073627,34.37625658322943,35.54167861157251,40.1183680873501,40.151547362691375,39.81662585115728,42.99125441145761,46.346169862867484,43.86828422457289,41.72000835594717,46.804616582618706,47.77970579924366,44.15123925251525,47.257686494039426,46.47786381116011,48.89649472380847,50.559056315916166,53.83542940389284,51.99512839476318,49.24696270806675,47.4192195119174,45.34744171618736,44.52959301744686,43.03599249040014,46.38052116781137,48.08577806912552,52.373921496694656,52.56766860131984,56.801825713155765,59.207727623415295,55.960377115580016,52.75041270840392,52.06432132553064,49.683934645457136,47.45336662376125,51.45791992337841,47.890096650043176,49.81141837490295,53.088065148503205,50.32032430395934,50.766209907884296,47.541955060478486,50.51319995836999,51.81981457861579,46.59056185314208,47.71883417382955,52.51520198525591,52.49847930592103,56.15965596131189,52.344916994016536,57.908299697538844,60.260510563745726,56.902981162052946,58.096369085322706,62.655989072890286,61.51958799372674,59.07802244724484,62.184456906166204,61.85011414209745,62.200131944084454,58.81772390811245,56.427657355071204,53.65644825244355,52.57159976677924,49.4628094666851,49.40479618262761,47.75318617835794,49.92012647038944,52.73936945773532,54.35106567342381,55.308969057140104,61.47938382067546,59.07170603047844,63.02069449537039,60.974350766233236,60.465147896559685,58.96688377960409,56.491335389167936,55.85224806091457,53.36759390282507,49.9479256419617,51.356668670239316,53.4561200344228,56.20401798076919,55.63466880682307,60.54983847511352,58.342247013625325,61.731840720976564,59.19995585821575,58.10014469578621,53.61986734661663,54.79323465272644,50.60904887981783,53.425012762526585,51.352476490677134,53.77899178596883,53.500356803239086,52.17832148746739,52.16738905638227,49.589807798968415,49.68773296117569,45.41809068945069,46.62454416363168,43.17851046335229,40.3665158117499,43.12355940665653,39.28543522929784,39.275716937816384,38.1346642393042,36.38682221992574,38.11516192803249,35.63956851334717,38.70999614240286,36.16373842675003,41.22722613818142,42.62908794121694,39.688337001831876,38.462220695066364,33.83499007487772,33.52052294349519,33.614806975444424,32.457426857456475,34.47080587773836,34.8955030863838,36.26105792999035,40.2458771167757,36.22097402592375,40.16377355013794,39.28367997751329,43.13668520532299,37.60844540172282,35.74262484260231,30.87362822298952,31.00868371901454,29.922490280982093,33.58603594618829,32.11091044691952,36.18452986300792,38.6841681091535,37.71746270781898,41.326206651544354,42.72041456607439,39.94868377370264,41.79145905495609,41.98687845678873,41.586822414138126,43.47919498474942,45.07884355559821,49.24834306045348,50.36941064278757,51.40799317418461,50.82588676191217,48.06579173640353,47.508511764352285,47.32552699648542,44.94645167950424,41.871409482410954,44.57804152727223,39.50286857977555,43.613376896161896,40.932523992773376,35.70778097249788,36.70301524448248,34.669213011216904,32.08217143886557,30.922681142130937,33.499326816605056,34.789300574330554,39.963157554885576,43.29567787576536,46.279584376880045,49.11501175558757,49.291977700207745,54.08443960342349,51.081982218878736,51.590615290540654,47.664810301008366,45.43839397767434,46.25996544256877,46.29297241158954,43.74748439912328,47.18647520873359,47.58795894229077,49.872974010082764,45.06156715680881,45.400727945532346,43.02040227759468,42.540413746789,40.18098650586226,38.568424935818655,39.11451581282132,38.449447934864544,35.33685947006997,37.57208620881481,35.4550317467354,38.00578689337687,39.45901411376205,41.193854464553766,37.79489687419545,35.514083229209376,39.295707192860775,38.07003926788996,32.11310122657235,35.34058344180738,40.26573428435146,35.42040783232664,33.76374361961404,37.23550351465517,37.81057896926738,33.273880829758426,33.97614878789051,31.601273777133066,36.99621110916844,31.55552540798823,34.581500753060276,38.4067200838352,40.88657512727352,44.20522685550275,45.241288309886784,47.83991698607764,46.815396179604974,49.668931614842705,48.71631685652359,50.462474535841814,47.914145718749694,43.04567128461347,45.81754991532385,46.055938334893156,41.46234987036451,40.73807574468289,43.188254661017275,40.082955711414364,36.46033654412913,37.52183093737849,36.65863896341262,41.765397411933606,44.549782383907115,45.391893433938655,49.02151683370591,52.48385580951341,51.39628082413703,46.58731781271567,48.7358756633912,51.26471940640405,47.105820338075766,44.65388558379057,48.02810502875484,47.370956929462864,43.26415209011537,46.306984990424986,48.10577150741334,44.61102537451714,43.33995508949443,46.34245412588782,43.872776792957865,46.461691932870124,45.75743994059618,47.249309614577115,45.08950666627639,40.390471378432544,42.56956729467046,41.829460004380024,38.76199473598688,37.15543459898115,40.640134357187755,37.56747577647024,33.31166586243643,35.107297847307244,37.25200237044145,33.747860626555315,30.548222988428087,27.59745555222652,26.719256667238795,23.34434830857249,27.190086759864915,24.96462188679213,28.625098817422085,28.744594304294516,24.011789894441012,24.374035462218952,23.2822036713139,25.276801666589805,29.883678019076612,30.293978157402503,33.75756503932037,32.86559126374783,34.34876678476922,39.72773216444439,41.8786248321062,43.80494115267096,38.7493293094447,38.7977260203168,42.63544706791723,40.41594648520103,36.465195345858845,39.62737096489763,42.556648207941365,43.96793345639957,44.84418454585608,45.909432991564515],[34.4809903591728,32.707752331536334,32.802911784072805,29.132965091978367,31.978849761358234,35.59995419182955,37.000550966734274,41.585108726793095,41.24751130990956,41.101706575453456,44.089194631400915,47.514882059334376,45.447939958636624,42.98783896728726,48.11673998862782,49.37222799959491,45.94373061877354,49.10551810281081,48.42809941392668,51.14994484658752,52.87056654417749,56.36867287143501,54.557465069609805,51.85604407623882,50.10217721199186,47.741750108279355,47.05095206424087,45.3232417716471,48.510790696581836,50.122947424251926,54.036905493500434,54.39942263321777,58.483994065913876,61.03075753377257,58.00378143130008,54.8778512294725,54.34219545363865,52.19617076049531,50.173727335565324,54.51165505351904,50.90218131443548,52.481748803753725,55.94596721846151,53.29818320438867,53.73046575667709,50.603049574410726,53.72855872785436,55.01027698984815,49.819874859638404,51.22028615851981,55.97826755051626,56.033386735737786,59.58964002629831,55.602824491154315,61.14776928852387,63.50609870594726,59.9733274990692,61.01534888054619,65.64605347820367,64.52302844385369,61.82029728061495,64.706667324424,64.19217977528757,64.47378966169987,61.25149308141866,58.831152711876555,55.71396873916926,54.493145931410965,51.13144771374564,50.82814199341012,49.05839912542144,50.985876703042976,54.017410052536974,55.90871837287783,56.97493210434322,63.26075452832608,61.16449371376827,65.07895789785286,63.27055836636544,63.028811467880914,61.593263556573355,59.386622585425194,58.74094530844994,56.50282223801967,52.99983712235983,54.124809880863374,56.10158362992655,58.67775162960217,57.93469569958624,62.633929695361694,60.214674552580185,63.39901517458105,60.715895317243614,59.554876238726536,55.018914085901194,55.899108067732776,51.67219592190131,54.802185054091275,52.740127927157175,55.13077791702748,55.280150810119494,54.110729534848595,54.398547707031845,51.95105103543512,52.492092044383334,48.08503551806293,49.44349989106224,46.15539762817656,43.07714600444301,45.63800266205069,41.55355183332993,41.67178523305087,40.11904539263667,38.61524282379637,40.0252611034206,37.71451856771376,40.77444660538472,38.36200589160062,43.22320079175488,44.44088943533188,41.30606924474958,39.99910246074721,35.52688973398968,35.26020397287895,35.269746236271494,34.69790069895761,36.51074729234289,37.40415278391906,38.98009797935378,43.211807589767226,39.40562132056127,43.48824604735107,42.812017197138466,46.45651770024084,40.95597405167123,38.783697521862955,34.020667452198815,33.97846545477626,32.68063298618315,36.38048842946447,34.88331488406232,39.06840433672311,41.30840867431581,40.360071229328426,44.09397993759998,45.21092790483281,42.37888729620603,44.026572633093345,44.25401772935573,43.46668011041143,45.37886373590958,46.537825233704325,50.78064631266005,51.42457489975033,52.561888614673336,52.34109018261665,49.71273295225882,49.45007955052275,49.370005285636395,47.346224205000425,44.57862416639231,47.21925902732453,42.36417851128553,46.61809462083864,44.26970153096389,39.149480670615105,40.369091662540114,38.570988328285765,35.945294442459705,34.508864369630594,37.004230224986365,38.01402921379849,43.20380704178268,46.3955619504975,49.197898200916526,51.897628245529525,51.78398799930731,56.77646782614835,54.000880529376424,54.617218155413,50.92136625321712,48.477454671313545,49.6798790382092,49.92183796376645,47.30702239904415,50.73707819205918,50.94657614633592,53.43805086263015,48.67768000960399,49.215848411079996,46.98335435886716,46.34018756385747,44.09995596555319,42.40963521240346,42.933816316464,42.25391464405744,38.8946012275186,40.98233599418335,38.59318848163968,40.88402929441444,42.20064017586035,43.65449283043352,40.22127731815881,37.9458370269351,41.50410335663369,39.99053268129511,34.06956207602762,37.20719895746217,41.8567765379316,36.73853662853107,35.00646942901286,38.30203299698978,38.653376698151575,33.95158997370464,34.58978301194311,32.58588269848578,37.86186821058091,32.990584550763494,36.229878090622485,39.875055779853035,42.704407530754345,45.71441443006316,47.149946218056876,49.90781797093812,49.172963805990136,52.20286621294652,51.36511578291677,53.34829891988507,50.68775265550874,45.815573618884336,48.82308205602882,49.221651164941775,44.54095437298279,43.91711719138024,46.61607310254469,43.512165464993274,39.76438000205927,41.070546138981534,39.794643489918734,44.91804194663482,47.63634564719495,48.121747719466896,51.72741464096421,54.954896590638626,53.87959106708503,49.10964791590619,50.93454824025981,53.33484731759394,49.186054562104665,46.61521173019665,49.682884760247454,48.844551740051074,44.73138630193089,47.75843258634142,49.27890558493252,45.55622615937153,44.41440617286788,47.47536819555194,45.25430639854893,48.13687337157256,47.73620814512904,49.400182405344694,46.91002311260626,42.29079357120239,44.88464489579674,44.0306345350439,40.801966107262295,39.61402484337835,43.23845857231156,39.90086289570662,35.72203831440427,37.9765605517888,40.04853514651088,36.29299237193176,33.134815523203415,29.94838648653597,29.09340483890649,25.40010419165882,28.708241826224484,26.47049678263532,30.321168390491938,30.097908431221494,25.416200748749333,26.350931158627162,25.65531837857415,27.992438585552232,32.490320627333624,32.780288144634945,36.512243265592964,35.33798997332115,36.32301504076959,41.80048467444392,43.7733659635227,45.55937230484048,40.45793944176612,40.22708599127044,43.86031126971365,41.69582398652804,37.46612728526677,40.459444932579856,43.176960266510726,44.48114929358093,45.22749897186359,46.35712957615188],[36.871472984064525,35.09526408049006,35.1708754287263,32.23160201575706,34.992471263856494,38.95125448276552,40.67487276759907,45.20956143979638,45.26133512613034,45.41433144208646,48.53219170522247,51.76345880369812,49.77349057956588,47.59397336953707,52.75961326018697,53.87709400482237,50.495307453423806,53.78518683056768,53.22545955445487,55.734718840562294,57.515286343902154,60.87026734826674,59.07879586533154,56.36435904809008,54.51198181656406,52.344265011529316,51.46866779509627,49.79250255070354,52.96775849774693,54.44171389972302,58.66547347582455,58.706476662352124,62.86854339257954,65.51270458136872,62.360910812106674,59.31036130724834,58.50004710713936,56.43079078403216,54.291127759052195,58.35792824526861,54.88711558809522,56.817088773857094,60.15558949531613,57.43975899865623,57.93122060568372,54.71140158094435,57.66859688344252,58.968038341101895,53.711042980301414,54.7903371568601,59.57526506491337,59.466354902843705,63.164368377199324,59.345175623249546,64.840353121269,67.30589193501847,63.99542477428269,65.08670190798809,69.67192186889972,68.63237651042598,66.14641858438483,69.17611826644082,68.72767135799643,69.15399224856692,65.83269147699284,63.3560021460402,60.50046205302046,59.26077101564279,56.080151691363675,55.78176274937665,54.12192240503509,56.17260501756277,59.08195980160615,60.93388041455162,61.841622766334204,68.10441055980328,65.81707585043605,69.68137742588904,67.70575949831905,67.30326986705703,65.67112644813479,63.256644572424186,62.40371941194877,59.99123495050977,56.680771611944564,58.008641087773924,60.243137830593135,62.7809509315194,62.34410559579428,67.08292879815812,64.85114890371358,68.18401510380293,65.48840104285793,64.22077915555586,59.65140174006329,60.618240446573836,56.35463791253981,59.2168710755418,56.9782001648496,59.07027663497458,59.28967251542626,57.70335166628095,58.117542050336496,55.27334694441956,55.55329177708034,51.062598051388484,51.9961570094948,48.51761713963444,45.44865059803394,48.303014789816636,44.444546097416605,44.98191001995909,43.772589284156986,42.45943631612061,44.29348442988297,42.081568801737085,45.30322645329437,42.963832216090935,48.03420696726441,49.210595430845586,46.161142627689244,44.739926779483675,40.22491488254858,39.71198211804629,39.446614325769914,38.507991295179025,39.83913448159413,40.596620188920554,41.77046891604163,45.96391697953319,41.72655225075844,45.54182832774106,45.08118464286006,48.99629035278127,43.686073996583,41.919416312661376,36.83868145951455,37.42690870754203,36.563606972482276,40.33686972591025,39.13046466594773,43.29179027455848,45.68103146314048,44.58840581372517,48.20736409653457,49.39651102733371,46.524117595725926,48.07442739438616,48.026365448383245,47.291553327420516,48.83817515979468,50.17896409133027,54.16628860792249,54.851278829134536,56.3111271584593,56.0599786503283,53.592446112790675,53.038176738627314,53.24179925180955,50.815708064350545,48.11437237375255,51.094332148987085,46.193765799105364,50.360976482256376,47.684161363494184,42.57746071553065,43.30495834427949,41.28089046353917,38.472280093025795,37.52914227855174,39.94018358417631,41.36913471238799,46.49250837422369,49.74944544733109,52.713333051481875,55.35097987814191,55.57383160590878,60.36525676187179,57.55706066489301,57.92135368362615,54.13884427021259,51.54613115176407,52.40932667031633,52.50346339035981,50.14138118298452,53.84581056179667,54.43312131145705,56.71673394751155,52.018889094142196,52.146964550346084,49.63708576759511,49.116368967940154,46.480306509053555,44.663769960060016,44.905813468882805,43.824009494250475,40.687553437695925,42.47652485319937,39.9656128513076,42.65097368612536,43.422934725441344,45.263509177776015,42.135119865701,39.2737240369575,42.64451582003299,41.63470957726327,35.61644906135717,38.19493777433752,43.036274561231146,38.345612113555816,36.18384438900889,39.21830258673714,40.138654236143935,35.46567145840598,35.36965283340453,33.27277236823166,38.08765474255557,32.73835245863374,36.3610725495283,39.78944937618329,42.19549001163757,44.87169908735064,46.33440950718241,49.571697552951576,49.0807429751055,52.2443001979229,51.89527064277314,53.54825894933548,50.528029766990045,46.16207810314062,49.32282124470485,49.17846494416914,44.50826275823907,44.372031089856016,47.05753836300736,43.365168352124094,39.81865175079644,41.87383347194493,40.646450744866385,46.246831660045224,48.682822555665545,49.12970668231585,52.98686336196346,56.06933191301079,55.46824057634047,50.62069459276143,52.11738941643311,54.8689656135033,51.019213524861605,48.07171228654879,51.13066574665371,50.555514289599515,46.30898622906929,48.85804301215862,50.54545556678795,47.089278529666444,45.42400212508648,48.16864121509385,45.829438788793276,48.672980554793774,48.53769347902552,49.78281751962524,47.03420689863091,42.86496272973824,45.32218502509044,43.94335695197736,40.820118388412396,39.98517202712356,42.98570258982889,39.26153202348715,35.64083553112277,37.9828378171355,39.323585052546925,35.321665659331345,32.60063609694966,29.96952125300566,28.177361009565544,24.935149164089516,28.176268451128784,26.94251961870205,31.155121445209282,31.680430441653254,26.896854628804412,27.705678246437515,26.451893241571884,29.133117851430516,33.55149552305043,34.72977460475837,38.46793021484129,37.94753685636745,38.68919433818144,44.178037795424835,45.879227673859184,48.1138533817567,43.14313861549457,42.46304344361731,46.26564488404477,44.66862127277286,40.165955643965034,42.73331630823164,45.682618701117846,46.9814374064627,47.65980284856921,48.640970517835285],[34.00342623940185,31.90707123240575,31.50714314619258,28.766469832179627,31.07131954866898,35.472464334752196,37.17819037396911,41.671492160104336,42.10446086310614,42.31841410630699,45.6067285178613,48.669837929365734,46.534803033493574,44.70758705669728,49.86657085026605,50.75369420074123,47.36737241082908,50.772342927576,50.3979702999531,52.622830814699704,54.54714501891227,57.76844242221865,56.10347649424304,53.49703442903241,51.410579913779046,49.38002411410867,48.223096345711326,46.54703664270466,49.68518024940045,51.03509822671373,55.61408429793652,55.332465389874976,59.592871755505165,62.26405143623553,58.961525224681864,55.97865372624672,54.906959161723464,52.915149987786144,50.700385591666816,54.587840433573035,51.2880486785329,53.507428158557246,56.77908343175464,54.10858740492764,54.81839646711562,51.6467670007409,54.54637844593019,55.632015724335176,50.29056379860911,51.264427007586846,55.951695951540586,55.648981714938806,59.403480507984604,55.61150878785789,61.006936711264096,63.648956628414815,60.514006582245436,61.510153453346575,66.08362060317023,65.24048254022404,62.871064199159065,65.96651835280092,65.52656553301476,66.19848166707541,62.80351486406238,60.18410839660785,57.66640166386467,56.34991180310959,53.467668320343584,53.18232902067869,51.72833974364001,54.04540374342296,56.67418081281938,58.4432900748186,59.06555236154661,65.27634471011116,62.73266059646318,66.51576512427461,64.35632496600437,63.8150032732312,61.98328699706177,59.43122674680045,58.405405754415206,55.91085676965511,52.74359085333881,54.18352362349863,56.63748443567525,59.11541596174635,58.9783794170364,63.75100856740885,61.747569160914736,65.27854438476596,62.608942010184784,61.25794802447955,56.692033265674866,57.86387932495689,53.601701538732435,56.10020941478933,53.750042565649174,55.69933057369397,55.74399897469422,53.89313833980428,54.25405169062417,51.19256960669298,51.25089395740246,46.76901627410362,47.52480906150367,43.965209385905275,40.9739229918405,43.96434713136595,40.27214089784057,40.9149245924119,40.0104240808187,38.724030652594756,40.921443832125334,38.770256760530565,42.13925034459215,39.93156249035606,45.276309913881214,46.33686322438922,43.43684559956189,41.89562274938562,37.326602587357016,36.564036165817356,36.12713103162069,34.77280149813824,35.92940589218202,36.464780841167084,37.42440910740405,41.539209536849484,37.14544011780768,40.868145031047746,40.472426992312805,44.459452391751874,39.24318799474897,37.66892350723494,32.46019007726677,33.38663674448514,32.847772505518414,36.6668907879314,35.850391825048376,40.07645138130727,42.457510465957306,41.15676709530143,44.656053322243004,45.85467351105681,42.95599364540446,44.444295396378514,44.213555297184804,43.64140736148318,45.00942921551888,46.6380625432315,50.48461467773186,51.469515212510466,52.97938071943082,52.507953140012,50.05276423245134,49.233102777035874,49.53470222976559,46.799441017447116,44.0786774798661,47.2782979488237,42.380413521736045,46.487464474688494,43.66035679420154,38.66235492813087,39.09386406583044,37.12236314596262,34.13400173229411,33.36023613507324,35.6570484264072,37.278160835065655,42.333416928137865,45.59640885784017,48.64126292453485,51.23863085533067,51.69658552883126,56.32698502601388,53.49724176832768,53.708678111185094,49.910943889875995,47.22803904033631,47.95066935919282,48.027276765564984,45.78049989398463,49.66479090014962,50.47244861317832,52.716239832516166,48.20277481321243,48.08213080730529,45.50077261753482,44.87681701090236,42.07307053703854,40.14226540322329,40.264878271145484,39.07697174861605,35.96019874336772,37.69601952309696,35.213463599470245,38.01237923178562,38.772814261315546,40.75575099539712,37.68233727560599,34.75534456391557,38.22231946476088,37.39640858050286,31.3522650837683,33.94992081784883,38.96489220728731,34.4696927099682,32.33549848161428,35.49411306474858,36.58890875028012,32.04069252881622,31.985268815165846,29.602779304726447,34.545117851428856,28.81825234716239,32.27350211887204,35.84941482295505,38.10060134676968,41.04371168566987,42.25448700897403,45.325758500342424,44.64913925644811,47.720540625679966,47.28375739798034,48.873531883279064,45.930201924669745,41.50695087673748,44.583960643038964,44.444462117234195,39.78718950649578,39.58592299987929,42.23610904787725,38.594152270470914,35.033550489156454,37.03414401338839,35.864243956310865,41.48403001967599,43.91729109951207,44.476649766301904,48.35326042974226,51.53018377453568,50.94643317197002,46.07674887539458,47.70695190565413,50.54130815008597,46.71226117760469,43.796980477940444,47.03448352165326,46.58883139810379,42.33571503052504,44.87958674262606,46.75789347656002,43.47102090111261,41.700797542550575,44.41455953415264,41.90521572732589,44.56451532144053,44.24019358760757,45.41120741592338,42.86532038166588,38.61093867844316,40.85692265563303,39.57846064440008,36.5224275083509,35.44727067582313,38.45402481932887,34.90217830725479,31.152505999172494,33.307222597164106,34.79195769890169,30.924105899726623,28.086502249502438,25.48218676872034,23.810643417683696,20.633296368129304,24.221787369136326,22.901652668442253,27.001053970992118,27.78074673291433,22.961534005899683,23.420603440903086,21.931027800913956,24.494752514129004,28.94576699406646,30.271021509161574,33.905932603077524,33.636290655014825,34.532635694136665,39.964349276786514,41.7083175797542,44.09975847734931,39.18670185461488,38.58599849801968,42.54265020021482,41.03012975076926,36.65327745398806,39.26414377423475,42.404252242661066,43.79042601172335,44.58108222353388,45.50477122548382],[30.620963707447896,28.687254335166035,28.62953565462955,25.628533710079576,28.436272712445106,32.364849542867276,34.16328660118458,38.67488876438844,38.85163380582881,39.18618155804011,42.37434805510669,45.464709382730014,43.60453731167228,41.6151281452032,46.8130716254144,47.86667672454948,44.65876016763279,48.173668952556646,48.01361280670076,50.41972412367915,52.50522799297778,55.92423319309426,54.382324274823915,51.91513753120593,49.749641142778685,47.43436347227187,46.255325000985756,44.30026802441097,47.25642438504452,48.47042811422216,52.82049777959324,52.59234003131115,56.74920998690726,59.55566814047637,56.41323782918795,53.535146495775024,52.531184382643026,50.81218358953409,48.80584056430055,53.044863448201156,49.76373923309806,51.70015940420072,55.18524147283792,52.70413967349779,53.554954476036215,50.56075090766848,53.6656659233495,54.542750680485405,49.18891647574073,50.52527297885665,55.09157885986313,54.78948043183979,58.41720354725479,54.371398944292,59.70459889232455,62.45123773726362,59.158277179639555,59.89342652919833,64.5651808749795,63.85662153243125,61.197277756126525,64.05221010093562,63.39639476627772,64.13631064705847,60.888676393380884,58.13746382844034,55.41269242340961,53.89121510438408,50.9093315304456,50.37309303651711,48.92153243444451,51.169189723721885,53.83270468301949,55.84696417719419,56.41062264451286,62.7214065383283,60.37484715700995,64.08246432103417,62.096555742631665,61.79950544362757,59.95907827643099,57.67543094020411,56.59871160511115,54.38169195484017,51.1371749865147,52.269484925859445,54.65772843582331,56.9263511509033,56.7091180557513,61.27095985978131,59.14349825355544,62.5615012249545,59.75353282337275,58.31138135203544,53.694521922811965,54.69184097078891,50.393779318341714,53.04231306215345,50.6826054599491,52.61407765119729,52.94315213279103,51.230452756743254,51.81129150857769,48.89602177368644,49.386006027773504,44.79134821653017,45.79317253954372,42.43479971196834,39.20137498970411,41.93790295963848,37.98157778547023,38.63693802880216,37.363385151835836,36.262363881242656,38.234623577227104,36.25446336013094,39.680522253900655,37.68461885051443,42.97895517742117,43.76744360354259,40.744560884031586,39.05782192433945,34.60628912940091,33.78205675324876,33.23063182882692,32.31692819858255,33.361025861255605,34.29445742362896,35.52643278794631,39.883579685784696,35.824105557497795,39.78433002908141,39.54175047128213,43.22157018300576,37.99060063415475,36.01499370976451,30.962340038003695,31.63553671108797,30.911940582188564,34.79823774926801,34.13965608753946,38.574463660046284,40.61551837451929,39.220426732461,42.82436244897835,43.704687974468925,40.726478546989306,42.006266289431075,41.79019312452987,40.90893700031098,42.33153769342704,43.64059031715386,47.58141673703449,48.28162463825367,49.79350241589432,49.543395706480325,47.158518578957754,46.57243086236638,46.93138464137408,44.50960779528927,42.06295099262077,45.216624349823896,40.55871375838244,44.82987753319412,42.390209882870224,37.562026629531076,38.257813072771725,36.695316944533964,33.614494692315795,32.39638269743771,34.57422555368451,35.83293517323734,40.90982385610228,44.00542366776263,46.849486701862425,49.306575512658725,49.480219331722644,54.30517353886704,51.71098565951837,52.040480926285056,48.51220830855771,45.5897675645184,46.79111382815163,47.15819306750605,44.78829123127198,48.67622543093648,49.265934763843305,51.80951287374544,47.45348464931217,47.5567291292403,45.21802626899512,44.267687207795504,41.66678115422914,39.627611893032594,39.79256611965845,38.7350847383813,35.231553952924976,36.93890997937957,34.248366629266044,36.62323817264625,37.531066672048695,39.09624763548893,35.855632111744335,33.209335045077665,36.608033940210255,35.325029431649284,29.34419702020405,32.17663229116476,36.912475032029825,32.02923034451378,30.062491368832756,33.2673419028403,33.949474204584114,29.289185554552958,29.586482288743635,27.45121319030698,32.60918962204349,27.540857928931306,30.871566957361257,34.46788163934648,37.23338676784696,40.207368106678445,41.65913793800125,44.500122665693674,43.875350282130796,46.991777066650684,46.34581553771184,48.33203710873562,45.531735362721086,40.78837417202923,43.96956878221592,44.3225872191915,39.59196790319967,39.16867568852853,42.06727788033336,38.83011157710044,35.01823684330382,36.79079783489165,35.1786058976487,40.54932457906424,43.06565660373899,43.3359454084113,47.06061517749573,50.12805489656518,49.3193817500225,44.513777669531265,46.066572545278234,48.63869831542236,44.676495218737244,41.851071835004376,44.89585372980303,44.214387643406354,40.013022799084936,42.789150973246024,44.422599015786645,40.87653480064588,39.436703185284806,42.359168137538525,40.06031381806208,42.9249460886954,42.64969027954307,44.18489402399734,41.57125315279749,37.09862588004594,39.721190224933686,38.69396900582067,35.45701530958616,34.47181790140099,37.99523796554221,34.52036743471322,30.449955378891513,32.921809069416284,34.863483113250275,30.99793412812723,27.8789700887064,24.691388556929134,23.772339665159333,20.01554968199722,23.22053819021684,21.198070096318588,25.198496003646415,25.355706526912225,20.60828040503187,21.519951423492238,20.661549762875282,23.2963377213976,27.688195521361767,28.46864245426304,32.32472642711175,31.577166021715374,32.18683190831346,37.693437396913986,39.423609975627045,41.56074834950306,36.56163791283538,35.94766390205994,39.73056393428176,38.05999921850519,33.600683852998024,36.283355458733894,39.24876030835735,40.59358446066297,41.36512722251826,42.385188200134614],[31.333190746399513,29.826443638371437,30.416236432313198,27.71643722378575,31.145070880697503,34.53400003031689,36.647030547114554,41.09734623750981,41.0749205287538,41.6968909637711,44.73896593995282,47.79467721654022,46.35472350088631,44.20687959226745,49.42624475503931,50.673577877976705,47.6862463732406,51.287020598719316,51.2745392969557,53.86152701533398,56.02597784009851,59.584410157129476,58.090750772035115,55.672643693971686,53.52868632171323,51.02753748450139,49.89074215588382,47.748463130936216,50.5424731664796,51.60952579630726,55.719509882856684,55.51614384735791,59.547696980822366,62.51526489212411,59.53963155540383,56.78186688809043,55.81226746798961,54.348577737303174,52.49727018970078,56.93284177863579,53.67387131254238,55.425314023042176,59.03076269014229,56.64429019058011,57.51494703909473,54.585264266831835,57.77234857793143,58.615864246156825,53.27947522810492,54.75403535481612,59.28333737620592,58.98456955846102,62.55932478954418,58.413692892293795,63.701143393926486,66.4986267223023,63.12692814326234,63.72864774117541,68.44769261022373,67.79556869932276,64.97354026362046,67.66879663091994,66.86553379754851,67.61091250020392,64.48094865730492,61.67479371662628,58.74870217928287,57.09088363257586,53.968193635065475,53.207420690833935,51.70725471377935,53.79111391162892,56.57367864774537,58.825408871775245,59.40768339721688,65.79672172197328,63.66409415711123,67.3050515407151,65.47791263754648,65.3704571526452,63.512425638829136,61.40953366799986,60.252420594369944,58.21002127698931,54.96696833252105,55.904889906190846,58.270048986202525,60.35354441062911,60.0982958018285,64.45817312798053,62.218364102353505,65.4991221556922,62.55238252435529,61.01134602878534,56.34697338310657,57.10770188128089,52.775461883160645,55.58622951949885,53.17715073120105,54.94565080920268,55.70089996606111,53.982546761497545,54.886301755139975,51.9642436397858,52.77602266937094,48.050762986130906,49.04538188825379,45.79621983083465,42.34559861947227,44.97112264600357,40.897501357459916,41.807300781468676,40.28818661576107,39.4850574090963,41.30413910496393,39.52260611063331,42.974898284980185,41.13801252491197,46.30740235773353,46.90731907782051,43.76217729125807,41.96603542098664,37.67143096119392,36.80660600407916,36.087169722753835,35.57767073883457,36.26655597278066,37.571340866941355,38.85181063287618,43.38220288980626,39.419596599028935,43.38868394895563,43.399559433814076,46.9520799244911,41.83922305058201,39.73360788447251,34.72672296907138,35.427346963436314,34.66191715237368,38.56972515617392,37.98456185695504,42.49089176242556,44.346959816549585,42.92284738180642,46.580457383474,47.232040510237226,44.20137846390373,45.261793118863324,44.97768427956966,43.76699861940184,45.06464049482875,46.017712937342424,49.90207133028726,50.159058957837345,51.88171463177397,51.961181239674005,49.77549767405083,49.359234887745615,49.91586376473802,47.694323255721876,45.567914153462056,48.761573828790524,44.310256090457806,48.66067827861567,46.418652272022435,41.704864659567264,42.44366917791078,41.02210877180368,37.87397248364678,36.57154069760625,38.64431807279937,39.77987955725684,44.8199130110051,47.794799032709136,50.513469923738796,52.81153344000378,52.83488826808489,57.75243322384724,55.36832268171478,55.707805990311826,52.37810483795542,49.21992229350225,50.65439394023625,51.16452275944938,48.82182249786784,52.778221994876816,53.318611051777346,55.97869654152406,51.69998949198461,51.84764546346239,49.56108338958015,48.499860147011894,45.8941685492,43.756916839644354,43.81864831195033,42.63732783504611,39.00715090233435,40.477445904966046,37.527368074348104,39.75733728819341,40.35258540551678,41.75655152102397,38.61815070456786,35.818869655219615,38.896881070705405,37.51617023800683,31.623981326777475,34.13529144416727,38.60202781466133,33.658262971885534,31.4941691890125,34.38354680695182,35.034370512243434,30.28068204595542,30.239887739345026,28.489738725449932,33.28873010545745,28.725888076012378,32.34658233972868,35.64149885776282,38.60044508230269,41.131144250659666,42.98359034076612,46.10685240128375,45.85111337175937,49.15965159452672,48.782140160356306,50.88622812258098,47.88825962508963,43.33263640946016,46.76259965123119,47.107315293698996,42.33456523539319,42.15660757848495,45.26671881041507,41.886167580979325,38.051654622559056,40.254379431782496,38.285885980205336,43.7658906377214,46.11140825939876,46.02304469681023,49.7784094095239,52.55319330376863,51.914745210695834,47.15422561844693,48.27341872272966,50.81843012296725,46.995940673127045,43.9498114023804,46.66508440931661,45.902302210703944,41.68481780887052,44.25713453815066,45.660466400239244,42.00952117394851,40.527199338115594,43.37435696341481,41.30479238668674,44.42614061323349,44.54238023849017,46.10024777763361,43.09608469986464,38.89253098938345,41.856032939480066,40.56180980542013,37.23175152940709,36.786635869328606,40.21687956464812,36.40110384596009,32.63459139882002,35.547140446513005,37.17864380469714,33.04347864919533,30.149668909892906,26.962100607592216,25.8021988032219,21.96563977317866,24.495334711999472,22.849234415836847,27.06233396001452,27.132066193419362,22.527881318288777,23.938544368405356,23.31207445215612,26.304574614205695,30.470247439851036,31.40452409532766,35.45358983064432,34.66580512915796,34.71530091444956,40.25353362165784,41.70224692175872,43.840252697858524,38.894588450852595,37.858232732529366,41.465294047875304,40.07186268286992,35.29161281821268,37.62117253412616,40.43945456622981,41.66134965097392,42.27199689294838,43.28736660065403],[32.38347441267864,30.530640124818163,30.536872435374168,28.654504864675047,31.398735361776424,35.55202792874356,37.80563717262951,42.15426078925923,42.81210481357597,43.6104640689624,46.90498262095276,49.6798250062925,48.049942099499404,46.43843508424208,51.64122152967641,52.53986166072195,49.50434112408633,53.21504743462339,53.32223890451129,55.471055747224455,57.70871201126553,60.98338024379519,59.54963116767012,57.151105567228704,54.80664283384782,52.65740926314591,51.20236543417256,49.218897068059086,52.04699022777393,52.9865020663078,57.664469998054344,56.97852307289291,61.17452606819721,64.15928140127475,60.919009249585564,58.22287627507551,56.84410139142389,55.37893086493459,53.31241581367021,57.27538670127214,54.24342542416487,56.55262705254648,59.92852354022526,57.46263063970229,58.47871517800951,55.46257885732664,58.40957994556353,59.181182602189345,53.75578596263878,54.798153869120505,59.30130536460224,58.74651746590748,62.49558982014378,58.59303106345871,63.77630127811216,66.73330927460525,63.71574734459322,64.37922661480837,69.00738876261983,68.50984919515165,66.0431626161953,68.97831025819694,68.31823325671715,69.31516865065642,66.00673599124325,63.115997731316966,60.712449478907416,59.07750143986433,56.348918816227254,55.718955737305386,54.446686154152374,56.84058836043267,59.31248264493473,61.35689306091909,61.64609842285323,67.92598105357736,65.3871088589721,68.95987062905938,66.80844797144857,66.38400951648418,64.24847816524019,61.79611602843916,60.389316622560266,58.06188911026032,55.101595764890256,56.3815310033809,59.10687587088753,61.20101554825318,61.413911939981475,65.90915703105635,64.02879737617982,67.60578371935395,64.73910365024068,63.109416471728856,58.459483564965666,59.5174414493875,55.190764029000256,57.466172276056085,54.866130999677225,56.329431909948795,56.85889516733412,54.59617781774046,55.44476986121075,52.03035561338298,52.30843151037899,47.59747733993745,48.049064005029614,44.53862434317239,41.26461885636058,44.294848161741704,40.64204595957891,41.917039414155894,41.034846683594196,40.30418378424829,42.76799413682279,41.02852953108404,44.6541342727762,42.87573950702654,48.38813367566458,48.99604271590211,46.08187264207858,44.198165133972815,39.79730930831341,38.62405423816149,37.65708350890281,36.39911572831361,36.67111204449472,37.534154610685185,38.246516545519526,42.5663291591222,38.07993210319336,41.66861485889707,41.84022301343143,45.72400877697423,40.86323545365306,39.35131190971918,34.01067442746875,35.492795456990024,35.336870016944,39.27364811682236,39.10668632430928,43.537981450041634,45.61398392461703,43.985973052317874,47.42040707408182,48.25458144324011,45.22361289063642,46.256350322617294,45.643325403203725,44.734740512813566,45.615499596464616,47.05976429487505,50.59954053537663,51.26232714212576,53.22996662785695,53.007589489215604,50.91495302613062,49.99002541949998,50.78693846228101,47.926317716357126,45.73013846082287,49.32559759790463,44.770991233560196,48.93171722175848,46.21880530214259,41.56576216954783,41.64671355005252,39.985067282102996,36.63271925016244,35.96088205090381,37.906931390216734,39.5957555387403,44.49578758133521,47.56541281581424,50.52182844332667,52.79186739835699,53.34282908905925,57.90253008046205,55.39307946042404,55.392753534312625,51.90317918646597,48.67442152284738,49.57729749321997,49.86504425244989,47.847434000966985,52.111727690064754,53.15735831178028,55.5224625142006,51.392640288285556,50.9902821756593,48.38948332121657,47.450696795248284,44.38730570732473,42.12102918579298,41.867390216950064,40.270302366158354,36.972418972563204,38.163030700167056,35.2259744982698,37.972199168123254,38.08126242778315,40.03842151698076,37.257468244409566,33.871966888366785,36.886200151851874,36.22629432082828,30.259224327539414,32.23785287809204,37.08358112710557,32.82084782958213,30.297002894284343,33.05241208491302,34.461906659876774,29.928998480446307,29.20158173696958,27.032264807400544,31.457344302498555,25.929014913427665,29.759032783336494,32.98401555818583,35.27145862466089,37.747935522974856,39.320115382256475,42.768716501240135,42.536022721823464,45.85331779907663,45.860380813091695,47.514850703457654,44.25360252250306,40.17404984973546,43.612800064942896,43.374288305406004,38.660427466381186,38.89522632584691,41.878443189308875,37.96556525089887,34.37657460094968,37.198982187924656,35.455147099013686,41.367253677998725,43.4505104837621,43.51969837130536,47.521608881883,50.29230112763275,50.111761167419466,45.268682550095,46.27343846717176,49.24385788034925,45.726200844796296,42.4049838413193,45.329642385537156,44.97038510699769,40.64559206205569,42.74820436519398,44.5360705383186,41.354384243994964,39.25508604544707,41.738462720554516,39.351042643835214,42.19576880057755,42.33844849634523,43.37023354756686,40.363832828927215,36.5372109264814,39.070706550420574,37.35410317388138,34.236998913789755,33.854460456384125,36.59932208226722,32.58853174656501,29.30012415252915,32.02989006780703,33.022052218883054,28.793166173843282,26.2755246254141,23.784628391640382,21.68288086569788,18.49486023085001,21.34332126212592,20.77697749334924,25.18642250177917,26.313971287503854,21.64380753055936,22.46735257350945,20.986002462356392,24.10960851875271,28.19236438353791,30.123227226078644,33.97548674762223,34.053529084699704,34.164536361553914,39.59064886297469,40.87238445228729,43.55643457782458,38.81850847157736,37.53854614889278,41.44737858040502,40.59940637820333,35.811627627705086,37.82582211673642,41.02793898451663,42.33501830118745,43.00306885282105,43.82028061534187],[29.675043238090748,27.496954243559404,27.024645509662577,25.080299060222448,27.407340858344877,31.901568204058805,34.029600841422564,38.36317364115317,39.24682825055029,39.98857828561054,43.39029607736811,46.080510943329756,44.27902464967676,42.89268027592935,48.061565757063,48.796944005752245,45.734055747112016,49.482125405209445,49.68885800261582,51.65029795228118,53.96743314202575,57.156136761851506,55.81046256187435,53.502457911650055,51.01341590761705,48.944722782982296,47.32111319632547,45.34559373904768,48.151236231608955,49.04073091739536,53.92433998010856,53.07562490081913,57.33474746276095,60.29126690246101,56.95684752826712,54.285134784447465,52.777879784117175,51.33114094151447,49.229177767696385,53.10135131287328,50.17088695196022,52.618375439827105,55.957352246980776,53.542328073282725,54.70384471804153,51.75534988163888,54.684177366607294,55.289862367560644,49.83221504560066,50.86541702821416,55.277919509081485,54.62010825340999,58.37149978501893,54.46069288765479,59.57631415765754,62.62643604615684,59.69473369706332,60.28600187439181,64.90358759363255,64.52503340131014,62.10795864097864,65.06354490510147,64.40962094143664,65.54676853868251,62.2051829479703,59.235834776235826,57.042565472402636,55.37337245181158,52.844749310523554,52.249600819261815,51.11278195339946,53.679920464961725,55.95319006277714,57.91261684901001,58.02977399433043,64.2539323922952,61.558542972993756,65.08534132432855,62.82847154004237,62.32373246638257,60.09648100444881,57.58101867754021,56.107554841185035,53.7497748580636,50.850319304682706,52.17712870134112,55.0015549198135,57.07459495707138,57.436360776042804,61.96030446084869,60.21606408137096,63.908035530797655,61.08609190861607,59.43636616681195,54.81237406739242,56.025087967035915,51.724161335400055,53.77203205988936,51.14161275491664,52.594357989336515,52.922103483994164,50.56922799469395,51.30958785519638,47.83185818691995,47.977529448776465,43.29992728709839,43.73220238104923,40.192367482619474,36.98422052537465,40.061082903622854,36.481611031860645,37.712467704646194,37.00782113242154,36.23204150144984,38.89259706981568,37.172272703595304,40.861072776483404,39.1690154802947,44.824305941559004,45.36364825240328,42.568245496227085,40.636711019796586,36.217573888310056,34.906501098787615,33.87695261172894,32.34117566471799,32.60679407137651,33.29386482328226,33.93029896567444,38.1961849464605,33.68294554953235,37.28780400954528,37.43766888739043,41.31656645999665,36.46522623293527,35.00683033064065,29.632847561431518,31.245339920579237,31.26263647399761,35.2044355613509,35.293162016259615,39.75378377404607,41.781953411990216,40.02994843644473,43.38163132343559,44.216231895061334,41.18587616782666,42.205739827331556,41.522948960972045,40.759927851852424,41.60458798027279,43.26870766090305,46.7755296250742,47.718718587627954,49.606371547723704,49.18387371778222,47.034432660653,45.96104326589242,46.74010794099507,43.721939021314064,41.46908041362141,45.14590015465375,40.601555076749854,44.723241698815634,41.973377886579016,37.41531568957672,37.37994047842676,35.8299810931395,32.381050936833326,31.718067300805824,33.583244391091185,35.322130264730184,40.178955441890146,43.23921924239396,46.22436246643134,48.49164417945597,49.14930188574314,53.628059426367166,51.093640947901584,51.043584783780844,47.54978733722504,44.30447751676533,45.175982084519475,45.48385930965116,43.484569555146116,47.81161057776831,48.92889640496801,51.30930310441885,47.313108437320004,46.825009438613506,44.247670341965794,43.19708901616592,40.11155430680785,37.79063255015388,37.523153260243724,35.959470099421395,32.59788609070167,33.84978191461577,30.97020417234937,33.717565766505395,34.01542811789099,35.995766596228876,33.14031564799161,29.87087086720968,33.08427464524613,32.42387804483559,26.408843189858533,28.63750244637934,33.63593148548608,29.38071279873908,27.024306631994964,30.035249469092502,31.417168715355075,26.97175500202203,26.56323945785298,24.107769545987136,28.88544484043618,23.099026202270736,26.63322080144829,30.129743541461902,32.431720246822216,35.33819644868586,36.63685852076033,39.74389618222289,39.22260351252856,42.409973707370554,42.14393644801585,43.852940960206645,40.78801340201681,36.43939921628134,39.75055640031081,39.70464744181898,34.97507383289252,34.96275290678781,37.91698688390134,34.24899909985964,30.555225334403325,33.05998123593129,31.35864860410631,37.15946144969615,39.35892529448814,39.56953384956708,43.52100348033302,46.457661111939125,46.12034084895824,41.25830973154985,42.532314344217575,45.47248564337738,41.84588171178155,38.678868439122645,41.8076020577692,41.47733825422457,37.17253231652292,39.46357657226389,41.389863810985226,38.260376566676655,36.243784660679005,38.831024700821416,36.302627344618195,38.98793976967548,38.83430250792676,39.951106293022455,37.23774505870248,33.124886965030164,35.50306608796138,34.07818729262308,30.970328786170068,30.189436072470716,33.196631121068506,29.490444895666585,25.811522919632825,28.332434181534833,29.759282659876796,25.748590846260505,22.897976794616802,20.1744843205956,18.564428198950797,15.189738145524114,18.522490783252724,17.430397669740092,21.651354296460646,22.79112646730794,18.053292558536338,18.55072680789023,16.98497141798903,19.925324433956597,24.125148736916966,25.926235601793472,29.70353245991815,29.813909760314665,30.17363753432086,35.56879102339582,37.001554213459755,39.69033216827892,34.94191942286663,33.90025697991289,37.92009753470142,36.945549370023976,32.36483764620096,34.58610194524731,37.90401226060449,39.30663689836746,40.10682977155056,40.929221514097186],[25.07371539372829,23.405288361874078,23.925408993356186,21.740877746353227,25.291365148622617,28.664644466798446,31.129189844894526,35.44479742379629,35.81002665112095,36.90438272480569,40.060926429327026,42.76744289270897,41.62213410322798,39.905986076874186,45.12500334063502,46.21572443880932,43.549364059027596,47.48149229854624,48.06734933576996,50.3888957633983,52.955476615654895,56.491862438216394,55.33950038302056,53.25413746066591,50.69839894097839,48.132919339357194,46.53048870992103,44.06725098348424,46.50976178195004,47.12629346334409,51.510274006022755,50.77242354887669,54.79605656801561,58.0265843510752,55.03129073023809,52.578548419293185,51.21401024317151,50.29609987002144,48.59330438237221,53.072010508115106,50.17292040045709,52.07974914060534,55.77370150891453,53.68174639614577,55.02233246801028,52.36383426721308,55.612212477075516,55.93163805813983,50.50493849757589,52.12579787088768,56.34047160866141,55.71817778118274,59.23673390182574,54.92927342151585,59.92575770553617,63.11276950571207,59.90682471463038,60.068993462189354,64.83557170562376,64.65399871435861,61.741103717056795,64.2598254986714,63.224341978766844,64.43816529052312,61.38140143058698,58.21914333686482,55.61238215675762,53.59016220732238,50.842985610381064,49.76927066547496,48.612105652212094,50.97638081355651,53.35736606118582,55.78855441230466,55.84259064497598,62.23445127596958,59.955328032417874,63.33549867388807,61.429844388788744,61.387080384529966,59.16610021768675,57.155004858439064,55.59534293964486,53.7510114204401,50.73390148828923,51.49528855219377,54.17602550196189,55.85009540913645,56.04728145715086,60.14570665786385,58.15344115288622,61.59017183794959,58.50107441589022,56.67500888318864,51.962099723954125,52.7832462733837,48.41943771001543,50.78186506259761,48.12019175308932,49.46331654535741,50.452896405183836,48.33119588478923,49.570399571516504,46.346725010948894,47.33266848598698,42.44508963856613,43.27550398727321,40.13739415694443,36.46288600966063,39.045126482839926,34.99179792234454,36.357875882782395,34.93164007419043,34.60907930532685,36.80981942351508,35.46585831665557,39.218134706037574,37.927740000852246,43.38755901762158,43.4359182808858,40.410566196844314,38.21928315284635,34.09652292318772,32.68143790322325,31.385977066140068,30.78129251960087,30.675352951137885,32.204377444895414,33.31093347137399,38.00852353176796,34.13297783888929,38.082626460292474,38.55948957871707,41.86387417543934,37.07425420567523,34.93287342387986,29.913473155543024,31.081667924257864,30.76780213397153,34.76477422748995,35.08153019669114,39.82350750079829,41.25836972127199,39.38740499836447,42.90276105187686,43.14980550672925,39.998169731972204,40.58979038460751,39.90972085143256,38.49124801062922,39.359647264084636,40.31440570984511,43.94097760868222,44.189824340462835,46.19046629700549,46.294674462050004,44.362602528011706,43.75667662188493,44.715704568966245,42.31731648523863,40.6570882117336,44.23814945708116,40.18398763142191,44.56171072339484,42.51248210993954,38.27901333372857,38.7002772387664,37.80618472674536,34.28260118203339,32.910857037415944,34.55148431239402,35.64332392386698,40.47559599418632,43.20509747770104,45.79982134840612,47.77277567577275,47.90080211426543,52.71350056835774,50.6449031404575,50.79593290677099,47.81764464954292,44.140642297578054,45.85442902080863,46.658722218990654,44.4817036203255,48.77837459789618,49.51290775256939,52.37002587001269,48.6276566472805,48.5308309515265,46.35657508735994,44.81902038520504,42.09180457331509,39.62298030123546,39.409647405563916,38.0417626385433,34.08686367532462,35.19269867301179,31.916442004397776,33.861619061710044,34.25532197516526,35.44045964324742,32.378186747497395,29.540615425368337,32.43912895751756,30.94859876583371,25.13464823954464,27.57463907006456,31.91253508696675,26.953079100932335,24.777374852340454,27.68634271830493,28.32569159308909,23.60102362982777,23.622882882190915,21.84668970551771,26.80690516038354,22.534733635432055,25.969887924875692,29.301172096751674,32.56720033874752,35.2398805730143,37.15304430893943,40.010566674979756,39.76534120114845,43.092049215195274,42.62096544664924,45.00748629720184,42.10547363108691,37.38029146313467,40.937927921534694,41.663697691309714,36.86629699110832,36.610313797385,40.00165281402598,36.952959164480475,32.92797418913039,35.20323912223527,32.67850674004617,38.045439364497355,40.2815247038683,39.857760763464995,43.54530875102737,46.14616351076189,45.524652117950154,40.81737412472355,41.74188533994453,44.22089985163098,40.457991248695954,37.34039050093416,39.96309877319362,39.192900084704725,34.969469743732276,37.542477100180285,38.9276745273069,35.29581086560736,33.81889419051416,36.723961519376935,34.68381641431419,37.8484009386877,37.98509150255928,39.71323024836096,36.70091099068677,32.39001462874001,35.56461591886623,34.43451835344273,31.00760791798134,30.67266730673957,34.44425973328955,30.748959647160746,26.763725653825777,29.979708670593638,31.962332838032633,27.91163388010487,24.79558473000993,21.159096412291763,20.778231182103237,16.50561575794822,18.607618718260653,16.440920261361395,20.547421399320754,20.483382441310155,15.987678324924087,17.64847105937909,17.425228241142154,20.587660310915698,24.469087915149075,25.37536427151128,29.574438805448953,28.856515613664833,28.42378357258191,33.93562335256508,35.19157024387925,37.4496559281943,32.592576231697265,31.292816650164987,34.92436294752417,33.84105067295252,28.924635551935598,31.067724510765956,34.025041921207595,35.29871802767076,35.97728224833591,36.95592175078902],[26.295657116574922,24.116987028824607,23.764149713329278,20.668232246107536,23.3516901593713,27.387160233860232,29.196646691245757,33.68717576793328,34.048419124134064,34.50163692698505,37.7820839040108,40.73028268698885,38.903129117106516,37.14671077016789,42.34720918462335,43.29009786369359,40.202655873350245,43.88949301770345,44.0529196097298,46.30581665556698,48.62858474816121,52.04851280042983,50.71499254093858,48.45861846759212,46.03242133792222,43.65605405796546,42.20213931977664,40.05678855287817,42.838659486271766,43.84341707140389,48.359269306864306,47.87480767553471,52.05032301515485,54.95970219431726,51.78977123847573,49.046295115190006,47.85545223970628,46.39502237959609,44.473886829257296,48.78808790063718,45.68740254406969,47.676738072054434,51.23836875024475,48.94352815585002,50.09068983745023,47.28700494205441,50.46865265065549,50.995769019607586,45.58434881993785,47.084315374786584,51.450471370321246,50.97780991921117,54.54786467302315,50.36022046420192,55.541673465062104,58.50752640937515,55.26970350610928,55.73561087506559,60.45161002279751,60.01190653360352,57.263504530464395,60.00416655071538,59.21228344989737,60.21637040721472,57.011756161988096,54.04998279606682,51.5029186645339,49.77721336893068,47.017813980025075,46.329589514564965,45.0805272904294,47.52469284377861,49.934311561714786,52.022571394773,52.28287335685277,58.593509607042414,56.1510986226527,59.72866239430643,57.69695847401791,57.44080477447673,55.42267867351419,53.20790192505421,51.950414628581655,49.86121586366383,46.693489970681775,47.70365367017787,50.23561255946488,52.303905565042115,52.299088923195015,56.74357419356956,54.744038030268186,58.26081934679418,55.39516566928277,53.824276040633414,49.18740609897547,50.26409202240704,45.95618506315569,48.360363366635845,45.90056765359898,47.70750233187728,48.04265270987598,46.20109364152832,46.86395740295958,43.871648543839946,44.46539001464128,39.81065920406194,40.854746455525316,37.58115155773457,34.25448872018468,36.91291685480211,32.91043060832387,33.63798238179698,32.38097412038109,31.428351421245146,33.582107999451836,31.791182086738498,35.387074510314775,33.68772537496315,39.17497727991801,39.656201630028534,36.709578340935515,34.812177260555444,30.41912797941143,29.30047298339234,28.498295138615894,27.496676077495078,28.311467868082183,29.31826300419635,30.57003108595982,35.0255109736359,31.10982753450035,35.17204372527837,35.08342058082201,38.57046367616798,33.42044666136434,31.308824728944074,26.290026737148104,27.06710076891742,26.52028694925848,30.47828452038943,30.339269996883232,34.95341921166129,36.71265008217178,35.05292080304681,38.60015779241633,39.253078411805255,36.20363453637274,37.27347510428396,36.90348153345609,35.966973568376616,37.281132455598055,38.65016850056677,42.54191964938427,43.357455084443664,44.88085452408549,44.5579707731917,42.21468545520373,41.54743206048231,42.01644716123108,39.53711584352731,37.2618906801024,40.57070820287071,36.10640985989924,40.42632415087697,38.15369823872888,33.59245156036861,34.21756165269422,33.04842988523186,29.764640928094686,28.34626145158568,30.298848862524338,31.43565099228512,36.44059379728266,39.40419406504041,42.16588760660483,44.48727397507253,44.66673763893219,49.48105452849346,47.03269786615434,47.31794276901003,43.97562338663383,40.813270889907876,42.24551107205617,42.81458626025251,40.45544007994123,44.48299591109422,45.10078798283685,47.82110724311403,43.77296721321129,43.821935104167885,41.62526497292534,40.33788390874043,37.77050777370219,35.56555679933583,35.670045660393995,34.653381517317655,30.878879327906073,32.53681308362647,29.751994509445904,31.86819775299059,32.948221513927734,34.300988812286995,30.95662539397169,28.543219466282537,32.01514041034755,30.52207643031349,24.58544731760895,27.703546305508315,32.37553277750578,27.36969499666991,25.640316773410486,29.043933800430057,29.524015993947515,24.9427498776016,25.67095050563101,23.436921091877693,28.91279694544728,24.069286316263014,27.00356823449456,30.76884920423067,33.76686390994653,37.05034354892719,38.39319830625802,40.81793483078433,40.01049077860257,43.02731342756097,42.084095780442986,44.31199452498622,41.75041286930162,36.68721720137737,39.81468532806227,40.582062043924026,35.85173551918653,35.1386983739706,38.153931915928695,35.36116864854368,31.373005325636296,32.7974947947682,30.929294006666606,36.043841430852424,38.646891820427456,38.835654691878,42.42901628278333,45.5286328396207,44.52353826764778,39.75614711243867,41.4374019543009,43.86205034925316,39.790518158227606,37.117958722244964,40.213658058770996,39.46661847030422,35.31994190025454,38.31995467903313,39.956145294845285,36.37860414125329,35.141217989093086,38.211138400060655,35.90800310270478,38.71386238462557,38.23698157758013,40.00166265928734,37.60331429762303,32.84694593858773,35.51878440200969,34.85835915861723,31.57717230640622,30.352436017654835,34.315215406027576,31.17222480629473,26.70079743620982,29.1584386498864,31.658248748024924,28.042708585538644,24.59193801697238,20.958090906123953,20.95508498976169,16.88394247520965,20.076895357207643,17.246035574901267,20.88783918746287,20.706483509892188,16.024989633331035,16.89953183783145,16.42334808736135,18.867083026407656,23.215333501898176,23.584007988534093,27.48878487930543,26.557765058391624,27.160909031318425,32.660167010940896,34.46584520063562,36.524344594956546,31.506588652948913,31.035672444101866,34.83743350134043,33.06671574692457,28.72474029801464,31.570436818858298,34.584481802206774,35.997562583632345,36.87909468810021,37.93138000621871],[26.455615595167373,24.914875486519914,25.52851988356093,21.62485766620901,25.302638090814288,28.045797099832285,29.732943644481107,34.24994565544539,33.67336902348045,33.97370498093219,36.85392795613621,40.13372435846526,38.68349942977554,36.19843266415677,41.397211619183715,42.832911017474,39.88547337226939,43.4240950427294,43.46308640579528,46.298882060984276,48.52440582694769,52.30204500970364,50.904852714985736,48.63854118353126,46.49785854776328,43.66777528343615,42.64582778081287,40.28543478870632,42.96183899588963,44.0845828136589,47.79600391020735,47.92249458948893,51.836093110055316,54.75187092668228,51.96407989057102,49.19150132876614,48.52162667928045,47.13399914132333,45.528018038506,50.40136966735238,47.06172775391473,48.314870888352345,52.14531950569699,49.97661529895055,50.925524698823544,48.24986485580403,51.697090250939766,52.32328294169484,47.075919788472646,49.07918587326274,53.43879541384535,53.27836751546227,56.607897878471434,52.168720261587225,57.41800557258831,60.17470604929629,56.533561452304966,56.90692045225974,61.70280191213842,61.08442202458605,57.905702024759584,60.31609068131904,59.32912039543951,60.01685783105056,57.06708431417906,54.21974849007307,50.99441745750462,49.22208351067275,45.940301682892844,45.03381889137234,43.48034354658088,45.47752581848798,48.31623872771385,50.71736535137286,51.35532811140856,57.79984179940844,55.915192865710615,59.5466085943687,57.95347896229702,58.120372193105794,56.44468751419241,54.698848333705165,53.72944914220353,52.02911955149957,48.568511792652174,49.12310233392083,51.190489559544545,53.189822402838836,52.60740049369386,56.81562301168531,54.360208946038114,57.46691498073162,54.476345166835124,52.99568141369989,48.34596994434847,48.98250707991655,44.67076278871154,47.784052275749765,45.562541500499876,47.68380890244653,48.41378825152697,47.23854569886546,48.05242391034383,45.674057697780455,46.96030342862537,42.330126782597326,43.95602551737939,41.060540767601076,37.55176094623413,39.66974970351033,35.23880367657911,35.59648760070418,33.512429568455765,32.572382591451905,33.81107659051092,32.041942494255025,35.36173365646258,33.63810280355193,38.58692046388199,39.01510256640487,35.75271131971131,33.96110431622026,29.79527967739356,29.108095460722602,28.611531443220525,28.744107779981082,29.963656660118442,31.596118088692283,33.491626845616246,38.11764649514356,34.90866953725168,39.26246991589944,39.06935979120597,42.09524852702963,36.81757381877274,34.05538150805566,29.60257739375031,29.418619439702233,28.098923840608922,31.915958242559473,31.23569034821712,35.863653050635236,37.2941950897546,35.92164176373992,39.71004565544837,40.08080028501598,37.063778414559174,38.10018520771092,38.127857507178234,36.737793674641715,38.50630245418226,39.14592810839472,43.38784084097077,43.574465522253995,44.849863100845575,44.994825882658695,42.62293400578943,42.63107618279306,42.86057645988938,41.241861946788816,39.17535618127606,41.95289165536634,37.73126438962338,42.22495592464529,40.582627290187894,36.053917752744425,37.43962357042879,36.56042961809708,33.60288692532967,31.52131546855192,33.551008036956574,33.98758324753221,39.03409806473059,41.80707223713738,44.21836056507381,46.50136604821625,46.01805383677869,51.222810690427885,48.998946337844416,49.67396470061938,46.60252073371564,43.518328806572974,45.56879878974821,46.394662246200525,43.729093353390596,47.35283326046605,47.37503599542677,50.40668349695341,46.23980096724474,46.919479822023874,45.10092188986095,43.7118639420243,41.68751243978375,39.66133410847672,40.07099426108731,39.46279945874514,35.44612640869566,37.266962787970414,34.47190712631307,35.96623960452821,37.38605765680476,38.09851420211978,34.511010646464655,32.712269251256444,36.01712968250054,33.79647183726022,28.178241704787794,31.580679473298265,35.63332970084612,30.033397419701206,28.657468374171014,31.955487888145793,31.61884190880069,26.9013128319632,28.186413756600395,26.619359937069163,32.11724653708641,28.49895842425786,31.31709710866353,34.90646741294408,38.5045878107154,41.56972274533485,43.31494854051802,45.57210507259335,44.91784547811303,47.96540522278019,46.80033588342294,49.4427747357452,47.060311215680066,41.74648640779304,44.9066099325321,46.153225580299576,41.43459813153895,40.48504672417932,43.62129649720201,41.25524760708874,37.1494383070901,38.172886103304975,36.04408581605862,40.667351157714535,43.406257617949066,43.31533310894758,46.61869685683327,49.56574949607344,48.184474528070005,43.597026550601605,45.198858322839044,47.14794120104065,42.88021801800334,40.462232360888294,43.159436497126784,41.97163798321523,38.01003728531442,41.35415739250672,42.47755306135214,38.429816259484625,37.84079947302292,41.18745397479321,39.3300307133945,42.46005456230061,42.12895516688043,44.36619830325338,41.84086707221682,36.94789540332948,40.103719777538664,39.70895533301803,36.26862621943614,35.25855612153163,39.6677363059914,36.57913193372465,31.979541089994708,34.71081285177656,37.50392546478022,33.886833808060814,30.36115477969126,26.344446548778134,26.85165811790298,22.471042081093763,24.951011763550138,21.598775015768457,24.971101220134134,23.684497528588118,19.437419568239417,21.083558118492878,21.547072161486657,23.865802518320223,27.975707097863914,27.39068626884635,31.41120251710021,29.547774252664286,29.865025127509337,35.336498718200474,37.18003008858728,38.586214907951415,33.461178630022395,33.12899947501042,36.43557441103336,34.155308111247216,29.814798046645873,32.836976768362796,35.28476902297932,36.54368434181942,37.2912648691528,38.56672789184656],[30.28263284923726,28.74417524419293,29.25789625941234,25.296465837814548,28.710511862036896,31.648770243687697,33.13682266718564,37.689098492899596,37.02621042549535,37.043870090658146,39.88362916692425,43.31399760888144,41.622967393020296,38.984797198423436,44.139647039902705,45.5947779074569,42.43206557134665,45.74188734295166,45.39009927985128,48.30669126697583,50.26090322164642,53.98838201455068,52.374980617615,49.894031478937286,48.00476366493176,45.293946229774434,44.535384647290876,42.43891159537497,45.34993631987136,46.74981106224578,50.3755070660061,50.76684597040617,54.70519175143094,57.43186013081877,54.61287546958386,51.654522510125254,51.175270683446016,49.42206125933843,47.681841223260164,52.4279909477784,48.897441390381154,50.13771635657006,53.85682067396192,51.48371716322448,52.14000324200641,49.27653901766786,52.64156478722338,53.60011710650202,48.41167872820713,50.25179258939319,54.80348433955032,54.81922298703136,58.20300879286662,53.91632106256599,59.328819139892055,61.84763865388578,58.158451418010024,58.834224640300306,63.57139415154356,62.668054687026505,59.61367252003446,62.17879829919762,61.37672712097619,61.79101038008288,58.76688409683333,56.15421851229936,52.82119457971498,51.31181885806433,47.8669322262509,47.21478365732832,45.4800537871119,47.33709190213075,50.37397442218155,52.59152437838623,53.532389221030506,59.9281547972483,58.07001819422425,61.85534297081969,60.258565341003035,60.323311265773484,58.847157685159885,56.98447281757839,56.243740124296366,54.36714639800812,50.8128958556786,51.5426227866869,53.456848218027154,55.72833421115749,54.928836954775576,59.32791070799012,56.78329035245166,59.83204378184155,56.96930074270144,55.674136895258854,51.08313201733699,51.743282881382136,47.479687862065056,50.764255170730536,48.68541574361823,51.023769295191194,51.53747878408797,50.526430542763194,51.10011608623724,48.83306267775674,49.902304662659915,45.38803998088965,47.02017409630158,44.01067548267604,40.673914661804,42.89581835973875,38.54082072133646,38.682298787926236,36.68688378891747,35.450194225507325,36.56815126635171,34.521497496804294,37.64487162366464,35.56397969067677,40.34694730664189,41.16220398396179,37.89168627192414,36.376501606924194,32.10406019068597,31.738166343911054,31.583880200168487,31.59717230478934,33.228803789392764,34.61094358348374,36.493456454306305,40.966094565453524,37.61137150045851,41.91405640845729,41.45375245619047,44.68575545769485,39.25187825308934,36.62682829676501,32.130881852912026,31.80168333742094,30.316153762754983,34.050496775285936,32.83865405055364,37.264050664294885,39.01655867912112,37.919377493155594,41.7411290571862,42.419801181585605,39.50220299201939,40.84423195832769,41.06848446160276,39.89106124195897,41.843756010881314,42.59165616175382,46.914680795315036,47.20442976481563,48.33706833684801,48.39402771801003,45.8788639192211,45.90329215438631,45.91190067936912,44.285274111170104,41.90562548629331,44.49124519031353,40.0034301332282,44.4243957675447,42.5800461324668,37.76059600952179,39.245518531649026,37.99414666430218,35.25440433297305,33.320697438113584,35.603114506012965,36.16329961894766,41.30311844151549,44.24449936309822,46.771668569808874,49.25773163468067,48.80478792651977,53.9974273170661,51.547790368889764,52.286711417102225,48.966421988425864,46.21541547304709,47.99461995433696,48.598240621369094,45.87769539883957,49.32030586493471,49.29230658043432,52.1443549621631,47.65842131704965,48.42183956926152,46.494189920678494,45.428518460291905,43.42355017609154,41.59203011006195,42.130249127782484,41.5837161572565,37.80982193522523,39.813579780201245,37.209347630482206,38.96626836867934,40.431968054616775,41.3738298962276,37.79365798768426,35.8966867301246,39.31836091132192,37.28692709911593,31.56673379155982,34.92777618015095,39.166155571091714,33.67382502612158,32.204139372326665,35.502006638069645,35.3335610008804,30.602436732097868,31.698312471068217,30.02717971017084,35.45432227932103,31.437577433154264,34.43418693872689,38.044919963181364,41.40702699198397,44.43640609191194,46.10601891323388,48.552812231075926,47.87190994470015,50.916624498965206,49.83831512774837,52.2634994774681,49.7943931677823,44.604168472123504,47.69691037620689,48.65812530766221,43.942663550736185,43.0760238421165,46.038056629872024,43.42131788657031,39.43300212459257,40.48511957345841,38.70739827500122,43.474467171803866,46.25193749258515,46.39218988013116,49.781534930713114,52.850162576522536,51.51876404788409,46.87312132105062,48.59225207032041,50.656481980308726,46.389367486073795,43.96349583893777,46.7737945686452,45.66164994393879,41.66679206305079,44.945907462845895,46.16162628986558,42.17421309735389,41.45946736804168,44.73464746697887,42.78363033317186,45.8563979878041,45.5012947364828,47.57165028369033,45.050512945210194,40.23122421051672,43.21265359460965,42.6703569441342,39.28825236104415,38.20406643013036,42.363407551819876,39.17292862631243,34.69998195162994,37.25657144539457,39.8110751279077,36.12019959801416,32.70927106726779,28.969825076844632,28.95693173656111,24.788079408940558,27.592930868348002,24.631582835708656,28.200628080070086,27.22520208868982,22.817074589736976,24.233097669140452,24.291970387011723,26.60229164420646,30.89823406683193,30.53450158927251,34.44465441145467,32.716812852337895,33.33810624239622,38.81047491433033,40.74430898272721,42.18960250088525,37.05316993366397,36.82677145313752,40.19537136443945,37.84394079400029,33.58714348353273,36.64866773142428,39.10961953929178,40.35582513908107,41.07634374697047,42.32491159575962],[32.80757303785079,30.95782323072599,30.873762884669176,26.415147014555338,29.058333806811607,32.3882448775929,33.28611750623261,37.87840288156927,37.17193967409653,36.58073670631299,39.4425675253386,43.07588151588983,40.78824786998016,38.077013165638675,43.12440672157598,44.46135572255198,40.917755118828794,43.883941490488766,43.01566812781415,45.90716179693192,47.52403581574612,51.12191205601532,49.27641793194656,46.57775746221432,44.93615032328274,42.43264803064596,41.94674257267477,40.24034020641953,43.48564756332584,45.3003588586145,48.93221398666716,49.64319316090485,53.66751766934253,56.04181425522564,53.104458145703326,49.86497014617475,49.62616768387381,47.31226170476303,45.37661282547921,49.92010933358388,46.1669331326345,47.41232189369403,50.9599769253586,48.36229187773653,48.71653732335997,45.68158077316954,48.950967670887614,50.22278111422472,45.12994448159425,46.82474016426063,51.53785097590966,51.7719475996999,55.173592889917074,51.06282182040883,56.65140211939181,58.86502073333384,55.13272463602918,56.16564191534286,60.812208967640345,59.582370600183225,56.70899738893683,59.48841271699617,58.956097138194124,59.07670096131966,55.92799824974558,53.595791296978376,50.266857282582485,49.120853201005005,45.61085763769702,45.387431943565154,43.510887126380894,45.35387975069758,48.47684919788967,50.322740131436625,51.55826369551949,57.82763164115049,55.87122556691488,59.85467456526177,58.177130016528444,58.04370993546123,56.83474140913781,54.79952850841242,54.41134544317343,52.31274296614097,48.62211334692149,49.58623782170226,51.27628868334039,53.94834155946362,52.88454424330958,57.596051061737995,55.017978692583036,58.079512239037356,55.465972564843526,54.46057445222231,49.99337990803073,50.8577594328518,46.7004650820881,50.058039086601966,48.21857509123093,50.97624361076247,50.9043917141103,50.197967163860085,50.23668455829082,48.23970041829293,48.94660154911991,44.71992865168548,46.51734535195896,43.43764718461417,40.471335724161385,42.715543273991486,38.49060854886395,38.05722823858828,36.22479052936063,34.41479168387075,35.36432271295111,32.88194498379451,35.7090053557722,33.159922355488604,37.78733262240851,39.12414592996272,35.947563281591755,34.82927832668702,30.382040521683457,30.44355598443236,30.854899058688517,30.584102067584116,33.05561515328497,33.955642449914535,35.934454764367665,40.075354037490236,36.76784686418052,41.053378560034346,40.07316396310297,43.420325748165084,37.75464110561837,35.21580562672663,30.89730189460819,30.11004304930575,28.3254497188591,31.866303433077125,29.993173856143216,34.134056574904456,36.25435067895284,35.49949682244966,39.31903841857675,40.43044425752848,37.68893162989525,39.51583644483572,40.08013628874701,39.35871363651525,41.70076703426383,42.76729568474649,47.2620629571045,48.003255730239474,48.71319642562541,48.41790274729721,45.56730577646763,45.56942677136598,45.10937761895946,43.47963079550443,40.55589640205555,42.772534375239026,37.93767127588503,42.21954345378642,40.1904000593348,35.07480353781387,36.821079598812915,35.249216292628546,32.911019836711574,30.9785778920507,33.56207032556149,34.120083983923315,39.325768617185766,42.45225511469068,45.0927054550918,47.89324747650181,47.46457227079642,52.609628108136775,49.81458692623542,50.69664729304682,47.05493463084979,44.88182128726437,46.35339926911798,46.69873794842211,43.83371980938904,46.9050394046857,46.71696269549236,49.372856928561845,44.552594659776624,45.5191039027693,43.59447153495511,42.865964688766525,41.08653260146835,39.5953565239719,40.447376121454035,40.24129771928752,36.764009531854484,39.19737384661633,37.071956180696716,38.95594846550102,40.89717042784357,41.98439760365058,38.27358216714724,36.696759524014105,40.45963664957548,38.5031254300963,32.8038981686651,36.51049175631666,40.946358716045665,35.53552784063829,34.33697853311944,37.89431647189122,37.68926020507281,33.107153441657154,34.54131279528399,32.579152418301426,38.241892071777485,33.80304503499019,36.51742389485769,40.36091992904246,43.466431523220855,46.85085048551377,48.12846977044609,50.325285302486826,49.26897068408825,52.074936229581525,50.70359280200992,52.94013834967892,50.712942398940925,45.384334534389275,48.119718742761805,49.031187061484964,44.43192315150733,43.28041420156106,45.87840036603717,43.43539361766713,39.58095070108641,40.00272854053108,38.818516076555,43.33123103325721,46.34078561620488,46.96797870760839,50.264899697400544,53.68588599869778,52.10160670880711,47.45734186097863,49.71618478268001,51.74797150132447,47.30923744210771,45.221144560978104,48.35229237736696,47.288299381778124,43.37775057383462,46.88928244884781,48.29339835490814,44.3964223674738,43.79899593906683,47.13582353793461,44.99681524939411,47.795170462571434,47.0298734020872,49.06288281310821,46.96978838488665,41.92887522379458,44.50413820970838,44.23852610746562,41.001926483815254,39.35065705984012,43.51277599997316,40.69292072175456,36.01916698276529,38.005645833676965,40.79094053015654,37.41933902367815,33.897883651338034,30.31770823739743,30.40236826357895,26.505292544580726,29.897087256889076,26.74442415193387,30.0188179951032,29.081902056839763,24.675038070766867,25.54476910929637,25.37938729086948,27.14686931848667,31.613122040161787,30.932270456872786,34.4879205171348,32.65202206345787,34.06127399665017,39.40117859724866,41.71181566780391,42.99906656257843,37.82922873827385,38.21118667823874,41.658780306563514,38.84140177486654,35.08679381450827,38.578740903082064,41.055367799649176,42.38136646530459,43.22361211444817,44.493374819183956],[34.37159361341586,32.83464627403762,33.133782836224384,28.301683561035887,31.2527642841237,33.89018233863677,34.58102254244663,39.10677808828071,37.839690002749904,37.01836200165934,39.56828328644782,43.405935667827386,41.253724748824446,38.093867709134045,43.02184481464093,44.64030883432384,41.14877163089868,43.87946252429143,42.79826793705813,46.049908122212564,47.4913307133982,51.264917981068294,49.33592972054554,46.605455547791024,45.24956753091582,42.517592640713474,42.406800728503825,40.67822029865253,43.88373472208959,45.85118638599504,48.90264477770748,50.09195827397339,53.92219876357081,56.19269735814176,53.50855031339067,50.21572353121606,50.3788468952931,48.01021534358031,46.261725823387714,51.072681926424686,47.15837751607653,47.896625123584215,51.545991346068206,49.00914900060591,49.15080964712067,46.20107027845868,49.59168937543521,50.98929251683409,46.08991294991705,48.070995464953306,52.76038410068688,53.24048826050071,56.45649848176279,52.258307813814206,57.876141612402016,59.86887423950689,55.88884017765586,56.93273171922381,61.57405852369041,60.158102468200624,57.05757933597799,59.64076504425693,59.04595191831758,58.87084702249017,55.893711435044914,53.73422982113898,49.9661682635905,48.89806335544063,45.04172209930884,44.78706892819766,42.674027272261554,44.1530733567101,47.58386269830687,49.528652361111874,51.105523668591886,57.37825182365132,55.80065168092801,59.838357769651154,58.45227404902127,58.556752454323856,57.64613383096098,55.89617949640484,55.77040089260078,53.89042637371044,50.02276537812201,50.73450721788586,52.056971531920226,54.748666055303254,53.25119059973824,57.837142983049496,54.964568605870156,57.719636121528275,55.10826592143397,54.250090384658144,49.8538214763356,50.4604415280708,46.380666736380626,50.192928055961104,48.58943451073585,51.615085695576255,51.66131976201034,51.44389899897301,51.463769182057824,49.91395402892866,50.960110926241505,46.83537141979151,48.97986862704027,46.12586910306802,43.13703686531906,45.066328598099425,40.668620644874416,39.93554779971953,37.68386045830574,35.80308527736989,36.13288005445038,33.61998512449515,36.128385960288945,33.50138337196137,37.60847394587056,39.027090713590994,35.71676249913811,34.808886975608004,30.58716164160718,31.04505001689876,31.771410097638046,32.12632359583617,34.92401895285685,36.07296683461998,38.391517568762566,42.52909315522328,39.654058478812665,44.05905862818061,42.961815978490534,46.03185756770663,40.31948076849117,37.45867333495584,33.55324120707865,32.18444320020525,29.94259743568621,33.26313757822563,30.953219848303334,34.92951052112701,36.866813713286795,36.39970232903261,40.30342761971286,41.308999173643855,38.67516719170757,40.55450094596792,41.42631181999878,40.535571985548536,43.19225080298446,43.876214459731834,48.561570126082096,49.00956236037459,49.468168406855575,49.38817965328459,46.48025659456672,46.890990257883566,46.19220165285242,45.10515914665995,42.24073863121004,44.02791858744876,39.34928035937437,43.6457692976889,42.00428304619005,36.94623286243386,39.16471435228919,37.750447606144895,35.69582206578226,33.4153992135285,36.03235034169569,36.169892510797624,41.32464925853404,44.32631902298534,46.74240553373098,49.55023664099572,48.72158619143813,54.050723175468164,51.35139446253505,52.494020741701924,48.99290137101109,46.99005634172915,48.76269534679077,49.217147767421466,46.17363657358072,48.90473139640588,48.315743405182296,51.104071195231455,46.19864730563393,47.59141476474183,45.92707764815227,45.19791977931751,43.799687574624386,42.474660888082816,43.53208230430885,43.59634011938167,40.043645378312895,42.59296203712262,40.52370467542949,42.08718096492903,44.25556993210414,45.02212715134374,41.18800579572007,39.972888799278465,43.680434058170064,41.37253562347709,35.870196036648366,39.737977929168224,43.87422371546846,38.21249801576212,37.23214283583887,40.752847412938046,40.13839513467558,35.56155550313581,37.29588493874898,35.61848486842312,41.299253817072156,37.394348064884696,40.01848930219454,43.806272554228705,47.18221191021578,50.50995970709757,51.94329604735949,54.01683562010236,52.98749766422679,55.77852956639657,54.24571049018114,56.68241106655967,54.58464035686444,49.10096884108476,51.80791171764128,52.97450041466946,48.393793904312176,47.083039668055164,49.704939570009266,47.51657023725433,43.61036998948226,43.757598304207825,42.494835669387996,46.70530724254958,49.80873823749109,50.34753967148659,53.46630217477561,56.84697268642501,55.020790337882154,50.49109955405402,52.78064686867451,54.54169368235478,49.987782822525986,48.09821624433977,51.052960298484216,49.76395943514587,45.98883306853157,49.7007227382274,50.8553851464687,46.74566260687955,46.51079254753552,49.98775057689416,48.05835253212879,50.978526351190915,50.23085874564063,52.50550272930217,50.408095609096215,45.27068135564594,48.03786587497485,47.94623672324152,44.64497242305335,43.03195389107814,47.42785988179672,44.67619281547295,39.90248413153664,41.97121473085397,44.94107941025193,41.59642740639924,38.006582871135834,34.237498806195475,34.585532759895614,30.535675979785992,33.68118180477472,30.26941579094666,33.39076395947881,31.967988413028483,27.796085528695595,28.934770053831066,29.154635599765808,30.83355138538677,35.18539616273343,34.022071144512886,37.565613408170336,35.257808734804065,36.61193858643855,41.860425563418104,44.230122053442436,45.125380645223146,39.94907350846523,40.49967632833809,43.659101440758306,40.51397972051007,36.9111363689298,40.51886670541356,42.658993828608565,43.895827771113815,44.67175896381641,46.05097477931933],[38.814183429619504,37.16555823522016,37.174591990852896,32.12830297592129,34.579677805929016,37.37904276862393,37.64032682375017,42.118093888927454,40.736037948582705,39.41531807972067,41.86076189609398,45.85818834783247,43.286432154496254,39.993816777614505,44.7155849617687,46.2916555837174,42.51804107486124,44.80731736860968,43.13865947548007,46.43584423348247,47.42991175145252,51.06831559085582,48.857215483089,45.87821066724648,44.93518930227583,42.418272342613506,42.729005475056034,41.43976333147715,44.92267500463885,47.29835168632836,50.15784911942003,51.76029758542454,55.57807332597271,57.480455491012854,54.77949842046988,51.23614415800262,51.727761027525105,48.82380272981822,46.93703099392584,51.52399228501061,47.3803695911348,47.99750742446524,51.433409511268856,48.67245223351051,48.37867994696906,45.25763071227466,48.505004318295924,50.333959498950215,45.653543761409765,47.46572962311823,52.30938590508479,53.08823578466513,56.271765917470965,52.31252240711618,58.07959927156135,59.6653975363041,55.6181016439592,57.07019912285421,61.56820365805068,59.73934100818747,56.82050933719864,59.57177448353797,59.259721726465244,58.66642979920403,55.62876740382169,53.8595377528018,49.98904038860641,49.351706885338835,45.346658115986656,45.52521838715578,43.202239291374134,44.487618147755185,48.09932036183669,49.676829007873984,51.67702115231943,57.76186836067595,56.22725247701166,60.45205014219908,59.0816967854659,59.04348772482958,58.48580536719682,56.63163110383539,56.906490530224254,54.85190893309393,50.86411879499634,51.764700335323695,52.77117194157787,55.84320159168209,53.990707438186654,58.81068747876938,55.84253050750706,58.48453830974473,56.13669183408695,55.605259272669116,51.38665790507025,52.08147044654166,48.16411046697818,52.137581383129834,50.81238765460028,54.20559842594162,53.80928912364711,53.935717454739624,53.51134423744464,52.26600938919424,53.02916955284012,49.19588204283673,51.462729830288666,48.57998590798807,45.91339565375296,47.83933592387726,43.5827913444823,42.39917687824025,40.26355376883166,37.94003445828823,38.00483300339134,35.145530651465435,37.23597932948987,34.16500179789696,37.847572118238695,39.823698724135895,36.625921240601926,36.18964651029797,31.974632613068735,32.91471870756577,34.16474855118124,34.3808681722243,37.81039624023745,38.59020997228997,40.95667891362379,44.765498845364384,41.95693579037337,46.27621858180337,44.743646176620175,47.89332794957107,42.052601930096536,39.318842317244105,35.65011073324278,33.896797723342594,31.3885286159375,34.395468386993045,31.352876189611607,34.84918440758787,37.13520161524757,37.12309656367629,40.966320221910024,42.379441172391054,39.98587032747444,42.294368975510295,43.50373586453737,42.97437405626381,45.946560757870664,46.80051653944474,51.598672241543824,52.30572670429999,52.41720669978414,52.12229498762379,48.97258582209821,49.4330031571845,48.3204530644587,47.326095841774865,44.0343413238915,45.39283563035077,40.47440840884305,44.560250392127834,42.795076657800394,37.51225506172129,39.98914461831019,38.231258678935525,36.65844735726861,34.46021869819395,37.32539603570277,37.44821438500605,42.56726771801954,45.6954477567674,48.16553949171608,51.23543559569962,50.381079936929154,55.64061196623107,52.65506621725022,53.952259901846226,50.18853298974799,48.77188921250819,50.24306543797535,50.43443103859938,47.2853127122066,49.57753847988467,48.78761841818605,51.33157966893707,46.07765147004398,47.71899837720999,46.07461043959484,45.76156848875111,44.6145047448004,43.659402917968,44.98987873053138,45.330446944234644,42.119005441568916,44.973111846109504,43.29173270854377,44.983835598600415,47.43070888464201,48.33341292612432,44.45699976353253,43.41513794086384,47.310629120474225,45.10365991068728,39.63463317219517,43.635608481517956,47.896816986134105,42.32749783253409,41.45934191422907,45.08604255114535,44.49173761243024,39.995516790078916,41.82423656069441,39.99888173645712,45.74966965586822,41.5399172032386,44.08540747653753,47.97544438181787,51.13788916032017,54.611568817317185,55.82290045796903,57.83193481652397,56.59881800699315,59.24623107616932,57.58070077814087,59.82514028903085,57.84776909866752,52.36054309893676,54.818912025528824,55.848116269685505,51.37149122466047,49.93595113485231,52.252291751635404,50.09954537405369,46.35828857451772,46.13624258555917,45.36506525337678,49.41617607709756,52.64865604488741,53.54690629385459,56.61144717455338,60.21935090218283,58.255543666059204,53.74350724525282,56.369385321418996,58.12339555914098,53.489935638324,51.81158680032855,54.95207912050195,53.701886832065924,49.98786560166836,53.79648752269867,55.05904122422894,51.013296901693685,50.81878059919045,54.301288851909824,52.2622738284718,55.020636399245525,54.05385538186874,56.251171423998336,54.38611368375792,49.178778870214494,51.66781350129219,51.673490846451315,48.48122885011788,46.56362267300161,50.84435221402,48.26574296095855,43.46919057079597,45.16393177676542,48.1410446864217,44.96023225228149,41.390925274293714,37.83586198613761,38.041549432595566,34.23531419473793,37.71666229414716,34.37404202716441,37.40775880984829,36.101364464729066,31.919862708026894,32.74321640238672,32.73414914867637,34.12703425450576,38.559157323636754,37.302284380529706,40.559969717062415,38.2391076403798,40.10424694405113,45.21423244191721,47.80773689456526,48.58640688486152,43.435727200153686,44.354821862049796,47.529982616227336,44.10449663531325,40.8432848194238,44.66039858508508,46.77666377253112,48.030837703347416,48.84298057226831,50.222767663745124],[35.574540543193756,34.13491568419976,34.41595107920526,29.094423862653052,31.85402558225033,33.968033036657864,34.14905690881837,38.53701896989026,36.78031857204748,35.47254959901289,37.721825501572795,41.76974487202958,39.48591383658786,35.960725107043785,40.66609158593751,42.44978084023422,38.898267205951385,41.2650320473218,39.852807086610994,43.377297262502594,44.57243876769911,48.44735047019403,46.42348451321164,43.66615171757248,42.608347491868635,39.72785963654237,40.01765440401057,38.39143708966194,41.62123211786515,43.846379107042665,46.36435016442862,48.07622821376039,51.739638486076956,53.76483981211312,51.27579019841321,47.86770173225748,48.47154425218419,45.90056482284112,44.29570748840877,49.27511695766976,45.201139587427825,45.44335585517916,49.128135101343716,46.64343872914145,46.56253505007362,43.72326426050834,47.21064449200101,48.710679925297725,44.0584372521347,46.31834673563584,50.9350743865865,51.685144328243354,54.67938996425404,50.438929320580264,56.069839572002195,57.788782832045996,53.58448990775762,54.68390198731799,59.27639978970598,57.65062518800745,54.38052302368429,56.810770446288736,56.22357192029147,55.73363157195943,52.894808606048,50.95532322014151,46.839394761324414,45.942250886138844,41.81529120868716,41.67995701997327,39.35049087964794,40.53827704631371,44.19963928365513,46.08441482250561,48.011437303022014,54.20580502098508,52.9198597119859,57.03645267616714,55.88473996220975,56.147411552398104,55.586949117164075,54.07572447699242,54.300312446238934,52.59632138283175,48.55318084889697,49.06854548549504,49.96678892866885,52.76963007844025,50.811675815049604,55.352756837598605,52.239336552613985,54.72980537153915,52.22805669740966,51.608686670472004,47.35873434319774,47.84384546047003,43.914666323042276,48.088132991311106,46.81016909174705,50.232240107817255,50.10653418768451,50.468380301134694,50.24184676538309,49.245846671701614,50.480336013527655,46.616911053113114,49.163600983231234,46.56412325306418,43.73569688715497,45.31410668202021,40.86252571977434,39.59595454160898,37.04816010152887,34.89995473255724,34.572313761816304,31.92034092734298,33.97903028490779,31.18901885033803,34.71310972136651,36.336718374088406,32.99414089050815,32.43370906186318,28.441503081761155,29.416733682992575,30.65300728360804,31.4698239573417,34.86970488041162,36.03704273302668,38.70042777582589,42.642635383621545,40.31102181058925,44.78704156802771,43.411580410740946,46.1508607093604,40.399685196807596,37.25788306793395,33.94205207681271,31.834971474861455,29.08897398545256,32.045769562357485,29.201710397070983,32.88787693080795,34.66650412659511,34.56237916017651,38.48377703178756,39.486989263569676,37.051663852090776,39.116556350338826,40.396359571469695,39.55136122063352,42.634451741307906,43.11139773921485,47.993048371835684,48.420519992364554,48.42582435174232,48.353216424767055,45.269175114565954,46.035193941203545,44.92128338980003,44.36163233196452,41.39853159543142,42.61320862833337,38.059303993705505,42.27299772116348,41.023627659121395,36.05842170771205,38.81517775679071,37.58726170354469,35.951826911412,33.29488617680323,35.9499973474144,35.6127479692941,40.6400815242003,43.51329574905619,45.6990503002975,48.58070309709843,47.37702861133546,52.813893513819,50.12721074229694,51.56582458606428,48.160508196516346,46.5254280510574,48.51889633061351,49.034242545950555,45.7880427898151,48.0385906180132,46.99315332751997,49.87624327038154,44.90137348728887,46.777613144351214,45.44537854235445,44.737123291826904,43.84513621153226,42.788677174096854,44.14727425325896,44.6354850209128,41.10601615013353,43.897261097584575,42.096137174971645,43.30267051909895,45.9180521942761,46.368817227891014,42.38759832581909,41.75314816448505,45.52098466531399,42.892376247591784,37.706294098753304,41.883642393494384,45.74666461990019,39.94997581539648,39.381513279077815,42.98240313832317,41.929913611415614,37.53247562176188,39.78084120848764,38.22898068144405,44.02863478077671,40.528334183932394,42.80185562829624,46.63713408009462,50.1722658308581,53.666890890972155,55.02213253933821,56.72844434775769,55.510473201535184,58.12542089797509,56.23331944605713,58.82792504694917,57.051090597166606,51.32038341787763,53.797586649279516,55.301339619518245,50.83484715379181,49.180358973755446,51.67512751849397,49.96376283507379,46.05959087287376,45.57573519807359,44.43242186814523,48.102142312146405,51.38342524445941,52.02148535354334,54.85410331617206,58.33449076623444,56.11743702112966,51.75896491432431,54.33741912550317,55.76466911460444,51.03860066295611,49.56442046795075,52.48307998247547,51.002225447504,47.45833526456932,51.4850590959293,52.48691948548967,48.26514782079882,48.48038136642103,52.11758384306013,50.31180242128469,53.16670721806394,52.19501356821878,54.72218549329484,52.90053648540483,47.55152008702244,50.29385575354999,50.595922070493835,47.325878813088714,45.45271463364461,50.13847090500814,47.737599214903874,42.73633310830135,44.60284581936629,47.9654012230128,44.886788302601374,41.146011183202994,37.22363980746644,38.073538292634154,33.99712710579278,37.102444226323016,33.25848239289728,35.947811157466695,34.04081492424715,30.22844825000222,31.33188375157234,31.900075788174107,33.16782569540407,37.362396819987346,35.50853099181463,38.813072477095375,35.9901856617381,37.62471389041345,42.6209322926121,45.20986936089172,45.61872118017703,40.49745472700494,41.5331046235918,44.41453871033585,40.74902543515241,37.63691830792169,41.548728371726426,43.368316836575566,44.562088182379064,45.359409937528,46.84208116714002],[32.05704506336781,30.331659616182904,30.310285601773884,25.183473494517685,27.797013909419128,30.463087075972474,30.880337779918918,35.3919628892881,34.14178370129528,33.133642273148695,35.737498388541376,39.59276811734001,37.25177651067954,34.15668246514574,39.08164222415516,40.615078491257115,37.057618410134566,39.802737540976565,38.773049993886495,41.959480469663305,43.479680859196215,47.256914668910376,45.40116260991559,42.74937696047343,41.2680455936848,38.50384232503947,38.29985290097657,36.533664944717756,39.74336911874092,41.72611468011738,44.86865344066564,46.02204983757685,49.8951788184,52.12843361950649,49.39157475427081,46.08539011205319,46.227732676289655,43.84943900150827,42.11169183928229,46.968295911403985,43.08488699306912,43.81849041613245,47.50800351716056,45.03677616957882,45.307654132636216,42.4454042774168,45.90248783639359,47.13120926070311,42.20416584039207,44.30810361172585,48.9062486847228,49.347119086628524,52.51783017718777,48.24186455101717,53.82091553975707,55.87763967789635,51.89355405328696,52.843676799754974,57.50980060879637,56.18726936549704,53.04256982752202,55.60511478378699,54.9798164722814,54.90718993633641,51.91511802529859,49.67199789086677,45.990269270643765,44.87178534668832,41.11182756833548,40.87357992893742,38.83729348795232,40.4760733982239,43.776960622462646,45.68310499218261,47.14268141185841,53.419651461340145,51.745276713025326,55.769574519401246,54.333448331537554,54.42328024990424,53.48200738000327,51.74775270007229,51.62684077510403,49.78885257894512,45.90448986902879,46.575201043153704,47.89962412853228,50.58374422602632,49.117043673128684,53.727719881569236,50.90785251047266,53.742097813293974,51.15173398964802,50.29367963063451,45.90272751133587,46.626294002610564,42.553056928280476,46.26497461195897,44.68552576300133,47.80167374515362,47.66135359712955,47.511502608818006,47.40286956741664,45.94949873837579,46.98958267708089,42.949153403694346,45.226103907933606,42.45987718516321,39.55883178906211,41.37050122056569,36.984227458242415,36.02915755430327,33.76898080469082,31.756186294524625,32.0377401957267,29.472034656956165,31.9819839975321,29.37031515622544,33.583812735570156,34.961227535442006,31.68108546063695,30.761103482828222,26.47986517756904,26.955584345851992,27.793013594992544,28.118691686604233,31.169154968980084,32.23607209524824,34.67116642298643,38.727633862653505,36.07337006665746,40.52547444290502,39.33734882205281,42.25118688009545,36.530113108692994,33.54785422210271,29.849316562781596,28.22518368294732,25.865780525095662,29.14871436143586,26.88470490526804,30.942800063194856,32.77693461221367,32.25746592711189,36.16766892703253,37.14102420363366,34.51183688070929,36.42962894411871,37.36739932515219,36.57409251270976,39.3512111460321,40.13366908342545,44.86839174823821,45.52324844638155,45.81023251748697,45.577115924945794,42.56932455047693,42.97013267196408,42.149599246714494,41.10037095511387,38.17365218329995,39.87892808947927,35.2258261126449,39.533711567382525,38.00839526016681,33.03715420928867,35.38566896607104,34.1758128422697,32.168722450420525,29.67400161348061,32.24624147950222,32.205156766561664,37.3294777835355,40.28153382450179,42.64464977032526,45.464928856483674,44.59445654291014,49.930067090381364,47.23024940133968,48.42093239502212,44.96559979195294,43.01397591352816,44.88743159703071,45.412817784894884,42.30845718002647,44.97084488045317,44.29912909478364,47.18174386865416,42.37915217726266,43.850663837258566,42.323424152137584,41.45174440474849,40.20937653679076,38.91118692320583,40.062201358627064,40.31351018692841,36.70473040036852,39.36647965874002,37.44244218138713,38.80379039906338,41.25957036893521,41.87731991743274,37.955989057957325,37.0907520700281,40.89232363551153,38.45097299466625,33.11952440468409,37.237312997922835,41.285599838569624,35.61725676039666,34.93260682249031,38.59122159929845,37.78585386470516,33.377308178657216,35.49981352041419,33.75084895548032,39.590330785909416,35.81476642544212,38.072226298501285,41.95970108970408,45.37476638143026,48.94546721469605,50.19895683395798,51.91895994627699,50.676273592020436,53.30358247399828,51.49170785341293,54.019876605312945,52.17645839809782,46.497021364788125,49.0231244354334,50.44833903170049,45.95517390075904,44.373838621630455,46.92497527822493,45.118272612679505,41.192473320783094,40.88161108776872,39.663882108628144,43.524805633400476,46.7409028837584,47.37024372688401,50.32099091557794,53.804933704616616,51.75327936107246,47.30213987115619,49.83464535717047,51.44245064352743,46.78215837356404,45.15248524766118,48.19294077297418,46.860676176141986,43.20528884259843,47.12241579367223,48.299651736410006,44.21304396142467,44.191687401025234,47.75839405815788,45.81115668260927,48.58920756984333,47.59609694181481,50.00445076413705,48.19494952265824,42.869808628103755,45.524443368468965,45.762367549645134,42.518228224140536,40.61415452486821,45.23651039672586,42.83418252482117,37.838069938715236,39.69192979957675,43.03107650597723,39.97173740791682,36.22251648165024,32.32362465651977,33.20076116063895,29.160932899243008,32.35683584963115,28.528294546581982,31.232862298448822,29.550508633978815,25.609267398140528,26.567506053388215,27.013527835427194,28.306912128804434,32.54930031756191,30.925111747844912,34.30108719976881,31.74959310271127,33.36883178570899,38.483723347248386,41.02468066608941,41.73719303402559,36.57589047772266,37.46967790487795,40.58904946622252,37.17357420042465,33.88894420152867,37.75004975442284,39.854443683141234,41.1353846511921,42.005031761504085,43.412378340498236],[36.913532997222646,34.90107604803113,34.30364274984819,29.13235283324481,30.856668534219942,34.100790417480134,34.02818643551772,38.4860188371215,37.391438565758335,35.818497288894925,38.4473448070814,42.39848416116018,39.3952707971884,36.3824671340026,41.08169894024413,42.385621339991175,38.399139936049735,40.66232686096182,38.931280989747826,41.9637053218409,42.96775532414274,46.458985018987626,44.255206460729475,41.2623477039706,40.17151033177654,37.8433967677887,38.00385829576239,36.87635597937749,40.51321045499683,42.985584906103306,46.20722294275056,47.652313179675815,51.62035435064654,53.40350820812491,50.49100886006504,46.8646272084683,47.22912517600286,44.12403707887877,42.07368639776487,46.4653898697174,42.33891513566966,43.214081311992665,46.554827753852685,43.72271795465418,43.519313733053785,40.34950915740037,43.560733401884555,45.31311448962881,40.545231550546724,42.259296200858316,47.113225868405316,47.82154798274045,51.06666723601663,47.16021267565713,52.94772282708534,54.57756515400186,50.6355990497515,52.148535755689494,56.63134588892977,54.84841712709802,52.081331228542986,55.00455234923483,54.8063224854488,54.341502743989665,51.1486514144342,49.33409936700216,45.77525465159095,45.20662840382907,41.451749308461615,41.838038682719905,39.657432762913686,41.2602913071735,44.619306992377204,45.95570538820035,47.78967149809354,53.814673430554905,51.96007524713979,56.21566476730341,54.621330787768564,54.368209287376615,53.73821733295445,51.688427077161876,51.976021351074266,49.764120521977304,45.80506520937141,46.892023482658544,47.99130657878186,51.20058557344905,49.49557876518961,54.513166786383735,51.737434765741476,54.60535500125392,52.376676815779554,51.88063498734547,47.695125931387025,48.694982849008575,44.804581911012704,48.46561539038746,47.13722694016568,50.602204340929596,49.78048556216702,49.83029957594769,49.10925039734895,47.83371748661853,48.28002722536344,44.602987368188096,46.8608494347787,43.935343745801646,41.51531739981914,43.486313986417514,39.409965292728465,37.97930836779021,36.12958168656829,33.52618430272847,33.78452255547384,30.734669243907373,32.82745350783384,29.606691863998595,33.552731573355715,35.68164342792991,32.643197074360984,32.27330763138492,27.8656568052506,28.80913584543555,30.221267122267953,29.984209079256875,33.75413009481898,34.144802251551724,36.454904455781424,40.02764169571562,37.24156841534689,41.497554502517175,39.746002863038754,42.92213753827878,37.04244169505669,34.424708646753906,30.853336692963516,28.98054572130194,26.484847407170328,29.43209488416837,26.322406772262607,29.80481154233713,32.27762816976605,32.24494584470651,36.030536337271904,37.661291923213646,35.3122406402314,37.82014972694476,39.06273978995649,38.8846883247421,41.92163315221507,43.15405663022732,47.922146398047396,49.09338160008613,49.04547780433718,48.39379762357399,45.0896052495784,45.327561675785425,44.06133314494582,42.83539060808669,39.2657442725651,40.60253115219559,35.50383553291732,39.50825789936181,37.571484039772656,32.220703716713025,34.69172540048077,32.89101931600324,31.426345262118126,29.227589173150445,32.15949334403953,32.331885060921934,37.44273826641143,40.65273561915934,43.2240410056244,46.414739393886975,45.738688873826014,50.86919038321253,47.70847229535104,48.970263109081934,45.058454028963695,43.846132621548705,45.12263613084708,45.21434637265844,42.051799457462664,44.28528081902905,43.55610816132727,46.027651317046,40.760244561991286,42.34966047742581,40.702102542250756,40.41459648605282,39.32263468972463,38.46510097843367,39.90411252992175,40.415625236181114,37.33830524137517,40.37612219497776,38.98596694356775,40.6902149911327,43.41590162955272,44.38936386973347,40.48876783587225,39.68507245092463,43.76016578787755,41.65280176086585,36.29586059818834,40.48947026817529,44.84363801447603,39.458795212882386,38.81425053658478,42.612906617781526,42.05050278572484,37.76552514771795,39.83985412765073,37.762162846725495,43.65441739353969,39.21961675351147,41.40860802658284,45.44473027083493,48.422545130122195,52.21088036301029,53.08031060439393,54.7661831402607,53.23149539240158,55.6589519593501,53.748645190456884,55.901953886178454,54.16789247684932,48.57507132127694,50.75988278064815,51.86620732694888,47.52115264390367,45.84429687986738,47.94868775326426,46.075122614171526,42.414847355278944,41.708322752191116,41.233315839141575,45.00869696718633,48.35228488420367,49.53158999623733,52.48923942543347,56.3012170873397,54.19007703723095,49.71619992071764,52.6936633542791,54.4291094605704,49.73376325848961,48.29732686101708,51.674508756949514,50.5192401832293,46.88928964301811,50.817703256825624,52.26675733208538,48.3908237130073,48.23441319880069,51.72316864178769,49.52672858620847,52.01378276673288,50.71486208875267,52.88580776747156,51.40369420293342,46.051121287464746,48.21314937434216,48.498158828300824,45.44856809737381,43.111367615806046,47.442138476213096,45.255622396465306,40.297152420392216,41.57837122800248,44.83167142619789,42.00068300286956,38.32716226799163,34.836375782261115,35.38339146911299,31.772205374167562,35.532358981104814,31.956977614411457,34.60802748907504,33.34498426912744,29.300306835058308,29.684818920502547,29.6136945601729,30.534441331706713,34.91938756749876,33.41935101018092,36.37543028109835,34.06745102814947,36.43234606009959,41.374652242442856,44.18453672900314,44.939841669849145,39.842609072678435,41.15090945256763,44.42879273295031,40.82067634276183,37.938259085269394,41.99912328632723,44.2312634671474,45.581653102125046,46.529676145761606,47.86571993607211],[37.73282097075842,35.9192444776187,35.49332565846396,29.95586460908386,31.723203881480213,34.30018071310717,33.85858649581824,38.16013956768718,36.55075433447711,34.616893957446536,36.91302935145658,41.04086794255996,38.05189129211363,34.65367083601411,39.138447080067834,40.65659705843175,36.695736651310774,38.64109649322856,36.65638643080972,40.0140347632777,40.82229720445318,44.47056468641748,42.20846759802289,39.22635027595698,38.41765734911714,35.860223753163794,36.41476456532725,35.3027247908665,38.88920439698014,41.545827226727766,44.17675124803589,46.119882192690554,49.88473594884245,51.49121977582656,48.82293588959663,45.13633540011116,45.930180753313834,42.742094127030505,40.901780836947204,45.54342345690478,41.28704580901997,41.59879067275652,45.02984355675953,42.30827851130205,41.92212357516597,38.912428592210205,42.267443592213375,44.065698855145364,39.54696439936464,41.62239694717427,46.35860350490443,47.31443812590117,50.30929725851697,46.30441668820261,52.0678787034643,53.46918919015843,49.28009533018569,50.76740230167783,55.224409295859935,53.28355170501387,50.2748042750821,52.976315926549944,52.719416748290506,51.96956790232645,48.9578615510481,47.32051301367629,43.35598635779173,42.89235096468607,38.83778795426962,39.25851125487119,36.86402323972445,38.14479569738208,41.75096331758654,43.11021455611233,45.27234362600282,51.2521029226467,49.74692819395481,54.048642505294865,52.7348936608809,52.70953065792851,52.401110590040126,50.66096926464004,51.244368819337836,49.28644042408591,45.16503059556583,45.970302845084355,46.65566690086153,49.88825644207432,47.73496395583337,52.62895109909228,49.58859247648659,52.162587204957156,49.989198299533854,49.683803006944515,45.623953498355874,46.437890395159755,42.68365818989478,46.724839027223645,45.688021296972785,49.472404464556746,48.624601625758736,49.220731364335535,48.38107598366495,47.63344971810788,48.388653586665185,44.91056783092878,47.555726936126305,44.92147234504284,42.561780866613866,44.15182712241027,39.97647990220286,38.139312433054016,35.918839538888776,33.184590118044575,32.76299195762601,29.6696789079233,31.33511170033039,28.038043602065034,31.360309665744737,33.60684029969085,30.50279174865542,30.42970765426854,26.314664313868626,27.730274560409367,29.553980808552428,29.904829076894977,34.08536497597014,34.6405629825194,37.29572714057389,40.759034104631546,38.54330036136503,42.87955234960859,40.986578656734316,43.77027849910831,37.91785242960941,34.96684566851488,31.985794568574928,29.443530468089858,26.471994575047635,29.06176544909627,25.516149904582527,28.73882808857643,30.93585912930338,31.23319234280989,35.0458686391763,36.56145580530402,34.38547848930305,36.97263105722177,38.572849499091916,38.3166434843148,41.7086065826612,42.625835103920565,47.557352848964236,48.57431290703992,48.16268147259368,47.619163457504925,44.216391887225164,44.84779447282631,43.25894242308921,42.611315805308706,39.0845254366834,39.890438538934156,35.02196057061699,38.974457967696424,37.52939328506711,32.36946470778511,35.369416734475095,33.87373592979849,32.75781076185694,30.14527581516274,33.022960902370016,32.66670708588166,37.61471580231118,40.63053140572547,42.915784362426166,46.102355819014356,45.0056837219686,50.27254322938645,47.218343185059446,48.768020509128945,45.05015034613287,44.07828614004458,45.68422571041412,45.91633316254421,42.57421222545316,44.3791719202909,43.18356185074785,45.81472483202368,40.559830909621354,42.63525444169377,41.360673457318526,41.002209516948305,40.40602187101033,39.74372647533787,41.413760440618525,42.27466154279862,39.134407039227675,42.294901519040884,41.03748437228696,42.329698490832655,45.376313478669324,45.97749923962101,41.96060727916287,41.65952050699383,45.693777950797774,43.229491375383425,38.18273419958987,42.59032473801048,46.608328874813886,41.05062456761259,40.737342797216094,44.53921649745214,43.54173879934158,39.38305670665236,41.86806974459399,40.00896146667904,45.95367105466417,42.04627782112028,43.98869392871913,48.00270885601476,51.223793759679545,55.06375938133105,55.98535076371389,57.39006750148942,55.78446469590446,58.110638687109855,55.92614417346214,58.29714159647187,56.81397388968913,51.01157761846305,53.07366541377243,54.538088909552364,50.2705178274259,48.332702426897804,50.41770831586568,48.97382370288702,45.27403930353486,44.119218313442126,43.585231618665624,46.88148878445014,50.3403928350806,51.473668517668294,54.16352165683887,57.972557257908086,55.530490484001405,51.23427116633074,54.3472119194874,55.74680117234443,50.92198331010313,49.81264709162419,53.05392290914408,51.683545571534545,48.26349384076917,52.446033574750906,53.6788846057692,49.65365350274832,49.921726891231174,53.55703755954001,51.544948886993296,54.05685250724645,52.65893976315481,55.10028344421519,53.75977009534972,48.259378812933825,50.526728310051496,51.120242929415554,48.052059934810934,45.63185999566618,50.254760091404385,48.29421242224527,43.169668177586864,44.433086172064314,48.002443365433066,45.324660045161245,41.53559927622255,37.837028293227796,38.83299595711958,35.09377494895073,38.644063327877845,34.699879632754666,37.032328519550816,35.26492355587437,31.56223674629393,32.0920023859166,32.440394316118116,33.13234743252949,37.318385586111056,35.20608377800136,38.029115154986776,35.20732804704552,37.626048945339726,42.35126829745308,45.277667570455236,45.57002417738512,40.53594006742993,42.167186808407216,45.1323457425359,41.1156701725326,38.5931066756287,42.839897805622016,44.73065439991988,46.010082085239986,46.94130872514244,48.37515497158506],[33.009473637712915,31.134904192382102,30.631673697205756,25.001015490576556,26.787688637016373,29.241036447910087,28.8338854066129,33.1651454614588,31.633800903538614,29.876879177290576,32.310777212841074,36.35975488850059,33.503443471301075,30.233513600420274,34.90942082438618,36.39756536402608,32.57091334924285,34.89874469114469,33.43081374336212,36.716216670488166,37.97120230486766,41.75133540976308,39.78266264195808,37.069027563383685,35.79689795640096,33.01191374813493,33.13356540008152,31.61235625151637,35.00590171941733,37.369313419470664,40.24474316703695,41.8447054369019,45.6740268358065,47.54588130154254,44.834454842379145,41.31656433434386,41.838046829886665,39.05187536562559,37.324586648066166,42.21485527716537,38.15256479124439,38.55920521692527,42.217225188502255,39.728105400337334,39.81658274544428,37.01996911664307,40.555030157577306,41.851600958514666,37.11533325855495,39.439396812294255,43.98121146786343,44.6629507585168,47.65412032267751,43.37739006741038,49.00435798250149,50.793439774677154,46.64563483001677,47.72540118723057,52.33266317198317,50.801656500945846,47.6007692228245,50.15442457588175,49.64081392629851,49.31758384399314,46.33509844273065,44.2986365091713,40.47611017999067,39.610109786494675,35.73945907092603,35.81951749334018,33.64904484663136,35.24238583676502,38.603714545400344,40.24004167183945,41.960469023250724,48.120146964935785,46.49346047461973,50.64825761518777,49.27525718632995,49.35349324867581,48.734709719562304,47.08529844484811,47.356550526988684,45.56743521586141,41.509819806812374,42.12914001943509,43.07005512554995,46.0063219299481,44.15185331831371,48.90018175476172,45.967525743262286,48.71091561326093,46.33441151605912,45.76752335577554,41.55173104709683,42.40075030185856,38.50585813831988,42.35827458832483,41.12517091598125,44.72785378217677,44.05366416539719,44.45464184018053,43.84020948197018,42.94734018602965,43.921658955823986,40.28843825176804,42.96902146354232,40.434591423404925,37.91021513547929,39.392631070136495,35.11446334548286,33.39305641766226,31.05403017372686,28.506730208244345,28.214781937895495,25.306356034501167,27.317854089399926,24.36047904715057,28.17467739179169,29.938472043491974,26.73364690739122,26.266796400821885,22.033972900875835,23.126314562687472,24.70242982504033,25.16060719183361,29.15793826893083,29.916284746732924,32.660877328202695,36.30086599574368,34.24312713841232,38.688697269922336,37.04054126567123,39.625731817326425,33.84852582179669,30.669492565267063,27.712777011723528,25.18027838875037,22.248240467162706,25.065477506306802,22.112112601042508,25.859045415371682,27.67451807125617,27.549657411803228,31.454720978751517,32.617103488854895,30.235967502484858,32.5436291874559,33.963207727545154,33.51608670663895,36.806097977167425,37.678660239094306,42.58732404793489,43.586750499522765,43.27902700605189,42.76582208340875,39.443075902912845,40.03887053399523,38.644242790667256,37.96862495340135,34.69758643089591,35.75995105694562,31.07594159359386,35.23513227621365,33.994505021406574,29.070109301172824,32.0047551625267,30.965366420843594,29.517290863908983,26.627514385736085,29.279495992882165,28.751842603667882,33.72436702370447,36.60795959335022,38.81008905293507,41.81719325640512,40.691939109309644,46.044522450791135,43.204301241814484,44.68309353509339,41.199661831028344,39.81501449290994,41.75213070696938,42.252322486612364,38.92899931745917,41.02288077270864,39.908392194787645,42.8273739844191,37.92837108015703,39.874917561584745,38.699115206493204,37.887538017251316,37.23040808967271,36.30580309086543,37.85121941857612,38.666553220730684,35.22644488266044,38.25626261599547,36.846115441660615,37.8595339698126,40.948551716885405,41.316850758612105,37.26237237302589,37.15201584247871,41.11378728780505,38.467713303223654,33.581293025957564,38.083202711584676,41.91019638752667,36.31052533012969,36.18060563541205,39.993230945263235,38.821542589071846,34.78494314009488,37.51190507110984,35.72018573556001,41.68805800504151,38.13684996485337,39.81736615712276,43.80996834013842,47.19183720939635,51.09252970725195,52.0257991181921,53.19438612960943,51.57278490265471,53.86376777828891,51.555907822544725,54.136556929006545,52.77274389238917,46.833123378654506,48.920747560596226,50.690914998027274,46.432899064333505,44.37139145677598,46.61350101330601,45.4607072267756,41.64244848861336,40.379634533102504,39.52774019485549,42.62914423119582,46.08346772834414,47.026187979603854,49.61003735735992,53.33240101041574,50.80570607368444,46.56826544178121,49.635030047354775,50.90543792614624,46.05516410894926,45.01952846207548,48.18790363992257,46.75299756801427,43.40410206983387,47.67698221843957,48.84312750949368,44.80439450873315,45.22642862988096,48.91446711746488,46.978032596298156,49.47906907455295,48.04227244182223,50.64188027515601,49.37266118082078,43.79556872547516,46.159581565090676,46.94971988288173,43.86772987465081,41.43875611917854,46.30278408846322,44.5118504415114,39.26079676759458,40.60257345746115,44.44304110500506,41.89173797225454,37.99429767525935,34.08102756101838,35.590433429593325,31.74228972029052,35.05595601925962,30.781684973611892,32.78850888826638,30.729254822836182,27.29476157436734,27.874266014578176,28.575182345896682,29.115959379253177,33.108751685592125,30.655462136217484,33.51418946720055,30.471450506887113,32.76340378115476,37.45173294498437,40.36541702870488,40.57443102509486,35.539471511798006,37.21549878892065,40.11881193536984,36.06144086104818,33.596992368797714,37.90329375365011,39.7712337997697,41.06876073470748,42.0544822749165,43.51770186993902],[33.70456633989396,31.42475872108282,30.32242931531549,25.01972147899743,26.104393059237523,29.566844385701824,29.185761402258333,33.588782675062966,32.726819742903956,31.006195446941614,33.795345896025594,37.65512530586451,34.385264011038146,31.65469881755006,36.36368446185678,37.44547634043271,33.37640737580173,35.761833180267466,34.222166649467205,37.02424063158577,38.240926484384566,41.69314355070579,39.64844572190648,36.79731446859342,35.37811277451562,33.063275054221165,32.91733335436759,31.71966482332217,35.368245589283845,37.78326686206503,41.33976986711368,42.53907075722695,46.62028068976458,48.416016002148545,45.35356012187394,41.749470454337185,41.92316008557808,38.85751651450147,36.759539789520765,41.15452044265122,37.12870074167106,38.19278923729573,41.584926475920504,38.83674833913785,38.93735433883744,35.86839842475921,39.16658100930869,40.588629972201765,35.66353402325679,37.489272524282484,42.23054803340044,42.77006811879553,46.02983794491047,41.99894520587316,47.728928010277016,49.570463114836144,45.69830558388255,47.036789278612815,51.58207501846286,50.0325289862592,47.25163867194787,50.19406782482134,49.943508840206306,49.76236903238117,46.49783507748661,44.465997081674146,41.186325171747356,40.482915878470706,37.006393706143356,37.391610472106024,35.42994581418281,37.388860853113115,40.428769050621966,41.7088593512062,43.2188575472428,49.25749520003683,47.14305511994632,51.341550234200824,49.58282125033402,49.24670391262066,48.440543811450105,46.32534827692668,46.497278883456836,44.28168500211639,40.356184969638434,41.46053796946422,42.714574744651685,45.87942875367784,44.3921651806792,49.463791961015794,46.86822038326845,49.95153460084789,47.72731382292437,47.153426431816314,42.9515237961064,44.18174022678227,40.28446122971423,43.62634236631754,42.239330036878776,45.69373362005519,44.619540537113096,44.57722717164202,43.71912496931045,42.41358349519585,42.75751942106864,39.15532106427402,41.47593780614936,38.60853457089046,36.31498894680171,38.214078027834304,34.22960974593789,32.601090241181275,30.898720984832366,28.140511671254412,28.56291785003051,25.450514983572667,27.666338937395984,24.497198342296116,28.834949127730678,30.84818214442761,27.91568812019501,27.441660806750388,22.88119280394075,23.69758009745881,25.158077936975317,24.620704948500784,28.631299115600008,28.802104089331028,31.150123574052827,34.59925161167398,31.995169697191614,36.27421295733414,34.44809049889609,37.486380864811665,31.605965701312307,28.915014731582573,25.51454146455439,23.448875369078127,20.92539371502627,23.90440356427349,21.001870637358298,24.733012773059773,27.13149386926023,26.89276287020972,30.676833335641405,32.293014233646126,29.900161111467824,32.439468303568276,33.6556430564,33.67043532618914,36.73983681162813,38.21732348363914,42.94806722557165,44.45481060800229,44.28679683258344,43.38348211691835,39.99660833837357,40.08129128279008,38.75239387004146,37.39365003619494,33.73025584953798,35.11775206096509,29.98929303668535,34.03069660496898,32.12069848567721,26.84532206925392,29.360879177970133,27.821457179754972,26.30745460271388,23.87573593360099,26.747596699459844,26.799403245372186,31.909984387973058,35.09900128756889,37.67627606893036,40.87217967586393,40.27398244480403,45.357486639122435,42.18260597820236,43.4166014201198,39.53233160678223,38.3002726424551,39.641258195486124,39.819013171149685,36.62164995607081,38.90797329833738,38.205239336546995,40.80222899104757,35.71345582532835,37.262056827429724,35.72057715282173,35.1884771938133,34.180510009069785,33.28507806443229,34.78568414333497,35.471337092920464,32.32501841576579,35.46745988059496,34.25785846406567,35.75834280158574,38.78024615916632,39.63006867075653,35.68253153996455,35.251507681307665,39.414460059749956,37.24818804091757,32.138574358965236,36.54573199130334,40.80248248196878,35.549910059791735,35.22977895835032,39.14183304377905,38.4575854945321,34.45438129768481,36.88178264627861,34.69484031244976,40.66831019225792,36.3625455130279,38.081253218535124,42.19200223806527,45.137800255708186,49.18847675358447,49.810454910127554,51.075072912505306,49.29515723249162,51.51353529628749,49.306599303484944,51.53462000346328,50.09704129912339,44.321484090215,46.28191845225427,47.67301026879795,43.45577897277007,41.478334071042916,43.49537884378923,42.08226302780515,38.41952552758591,37.18581533181648,36.76772023216866,40.13169569154209,43.57957172042501,44.87153719257139,47.64387596926579,51.56622325269456,49.24695222192784,44.86590929684427,48.112546279414346,49.712064837483794,44.947090459632875,43.79242556158986,47.287567134623906,46.145657101850794,42.66290589531662,46.75209720954828,48.27312544627082,44.517980637386735,44.531609716226775,48.05736054306949,45.81704047919422,48.08407504994371,46.49666793742711,48.76636724275577,47.643267017235736,42.13505435534262,44.10126252668247,44.75714914044156,41.81975682768978,39.14326583077663,43.675568627600796,41.932785842534464,36.77447066333235,37.76071661762508,41.422770274866586,38.971628962619654,35.15863066948967,31.591082006453593,32.76617746153444,29.25941266347231,33.03285602070045,29.07709162264808,31.171863215749553,29.732095253782273,26.0341277044057,26.094466476476995,26.227256825105822,26.62169146912,30.805515580076754,28.83232230086726,31.51883848141368,29.039621695069236,31.76506202995136,36.49886683856533,39.485326646829186,40.115221951275245,35.09133220229248,36.77495278071206,40.04433620305134,36.23909685122805,33.76252923598072,38.036418461040356,40.2935920990974,41.709602477169646,42.785831308213446,44.11437595383424],[37.72771786037394,35.45069753135805,34.17950846081362,28.718581312231585,29.317357257928066,32.62712803035565,31.718149193582875,35.91753307429305,34.82774732433668,32.523654951157496,35.07282923971842,39.068901288913835,35.3884422558134,32.49847843124848,36.85045263425175,37.895026559308256,33.57159258045642,35.36227044118692,33.13126244828006,36.00332208573911,36.684002736233175,40.00132441526847,37.65246453582377,34.54271422275286,33.62399559922592,31.51779747374587,31.92676315008306,31.255288761794944,35.164421161856154,38.04666200222837,41.24666997123741,42.97191086060318,46.96144732715429,48.3076083133242,45.29195567310073,41.43385530090173,42.05409306782642,38.407871538797934,36.22522648968679,40.4030250236344,36.11931313032367,36.90932340382117,40.07618530236609,37.124756586006704,36.726289824371506,33.51918798849487,36.71769828505375,38.58719466061611,33.9676171490185,35.728514091795674,40.582035474055175,41.50282772530409,44.64025773856907,40.840367719891816,46.69642502675333,48.05343125166639,44.05689307882893,45.806761403295994,50.185128752395755,48.183243518185265,45.53842368504691,48.60713997156177,48.64238274991954,47.98579678873736,44.689289019660464,43.104275082616276,39.67473480470413,39.462333440710346,35.823721843305705,36.70377292620547,34.518057018228866,36.24227568931299,39.45041647148891,40.30608805424443,42.291555630173434,48.08597580837947,46.063186581774005,50.44717587606752,48.756675978639144,48.31222704083306,47.95429583656305,45.81694785992698,46.49330477752419,44.181738732658026,40.11274603138313,41.335021928183906,42.13292942872201,45.691168521813395,43.73892045269447,49.00952528338978,46.289654494230724,49.1979672340939,47.284601383768496,47.09685936642616,43.15019470089621,44.45122272824682,40.79905794457347,44.322185579723865,43.309479752669695,47.182857964459984,45.6303433541449,46.085120890043875,44.72653000774378,43.90855195209672,44.03540496139602,40.86074669282007,43.401373199567246,40.65000906351153,38.757411942626135,40.48795154122067,36.69946613328555,34.50232580666363,32.86016938099676,29.65182747297241,29.583902226414423,26.142480635700295,27.702976048351523,24.04792467716927,27.693043977999704,30.356630177097617,27.60874612470398,27.756874656993094,23.391504929388446,24.8594547012274,26.970020872874574,26.459879850853977,31.145938757185895,30.97011964335208,33.420473473678015,36.400068152193825,34.1315179467804,38.25733399713091,35.95419696087155,38.87408570658274,32.97965603390608,30.374527640674874,27.558858492801274,24.88979242278974,21.990607483194644,24.35822533808328,20.487989699727066,23.476609033297073,26.195753890391817,26.59112065199824,30.24762559054615,32.28240767329739,30.255929425268977,33.25743831562857,34.92126854755389,35.315845472242216,38.75817708817992,40.31070476504455,45.12334664762466,46.85043918373847,46.23467501071851,45.13196960370441,41.51032668609654,41.742201274737596,39.90182764198825,38.82036214127365,34.76713453294655,35.49738914417731,30.25013213610531,33.96977604621199,32.103831904198245,26.729442107088044,29.697900614225137,27.931874484053296,27.142303411090698,24.69519989158416,27.74670845797185,27.580443200504078,32.47926022663183,35.689057725431915,38.19781784744835,41.63569466463393,40.901496582711715,45.88590988712819,42.465023741064414,43.93816527933269,39.87662431699013,39.37406680733692,40.485648853529,40.433693730025205,37.09813492017046,38.73220191260878,37.662909283508526,40.03422108645247,34.61223528199824,36.59455620768395,35.23725369217811,35.11918201337533,34.5963823420561,34.19267049556496,36.05329449698573,37.163940591156305,34.40927030931432,37.846652099451475,37.10641960942761,38.548053577914224,41.90870080365589,42.74335824532551,38.78616200689095,38.7105670128504,42.964206336151946,40.807571711766414,35.93359470663442,40.45100073361899,44.645071206730336,39.49943468892477,39.39004411588344,43.343029461775366,42.54600966633802,38.70398354621541,41.30818459363522,39.09442683228078,45.0772829819451,40.73621384273657,42.28084306403205,46.427258909084124,49.23918390152401,53.414662831838804,53.84172965679947,54.920077669666824,52.93291342713829,54.950022192313334,52.52984845513052,54.632717026207935,53.42835881047627,47.63188109385441,49.27698270585659,50.66616023168422,46.63365571123268,44.45516398280466,46.13780934168854,44.96311403623402,41.49688294131794,39.73465598078707,39.78370948173515,42.74323869111789,46.31273614662667,47.925925091578904,50.50971759556341,54.61260600700796,52.06452169383248,47.81844550720738,51.40605984032453,52.86564940369344,48.03514671460285,47.21383464008935,50.80253106930064,49.64404946201037,46.330513607838085,50.547339507620784,52.08764180077752,48.385969297413006,48.57210680032809,52.117606745094605,49.8567542578368,51.95603731010287,50.13962843185687,52.4086192939078,51.5725689297273,46.00618463513729,47.72198417186149,48.579829003356934,45.771975022991526,42.818027845887826,47.29492992924965,45.82392351643847,40.65139560915954,41.26914601334134,45.01517238757733,42.81054950175352,39.02570651942817,35.63184163482037,36.82431846336909,33.531818353059876,37.45090659932857,33.49590642241743,35.38434770063422,33.907782441635035,30.388201295381496,30.243868990643165,30.317176988799318,30.375333372063697,34.449802548452496,32.22297490901155,34.51014556160419,31.905391297830985,35.08068408055867,39.50390356008163,42.69607016906836,43.054675383124405,38.166860269994665,40.27869985075992,43.414334847188954,39.277983563606924,37.28388380433985,41.73926116225436,43.83715352827023,45.23607544672171,46.32900420459348,47.665536803536305],[36.99103954627788,34.695660443338596,33.266788162666195,27.677145780973643,27.93022577751851,31.00843622676318,29.74907106986274,33.79344268825214,32.60146992011873,30.022372887714454,32.4823625290345,36.49505287942743,32.64507786551778,29.74692321850872,33.9628671122475,34.96447392767054,30.580367207615808,32.2401624413681,29.931854169472835,32.825616408841555,33.49700801014385,36.86070544508655,34.547378158647746,31.491082266949363,30.54240467504218,28.349050471412948,28.81351981205773,28.163253834095073,32.09224717806701,35.07104139598484,38.1755682184388,40.02011790256959,43.977262546427504,45.219436622433435,42.22547750260319,38.32894052369529,39.06716563438242,35.35140946546113,33.22474250111109,37.5051855601374,33.191211315642356,33.81074792909463,37.039428090589226,34.16213027881565,33.819355153094904,30.725678036831468,34.04833744223979,35.78049778703098,31.196753952874552,33.194169810045054,37.93945691239837,38.90599437489844,41.93008863396506,38.02824928874575,43.85453974791341,45.19789560057081,41.11544138558698,42.78747451644923,47.18605533433656,45.21258239070432,42.45549647646123,45.45623334652376,45.45703227215117,44.80356119039825,41.53262684684884,39.92990693446797,36.465553598019014,36.263229557819216,32.63639377506403,33.58472832343031,31.41311119794208,33.19488549616153,36.33620778658929,37.128761989596796,39.110266403336475,44.88227451134757,42.86172538959533,47.25539530600585,45.5938392791767,45.19089679548044,44.907751796377845,42.86598039280592,43.647311390022004,41.441038068871165,37.30630216756415,38.4213022765268,39.08497897276406,42.66457853170134,40.59946987253759,45.87091902393233,43.1280188664532,46.02436723758937,44.16051339587106,44.039858810368024,40.159120906216906,41.518624150714956,37.945639721512414,41.457642868996714,40.56763692078942,44.59033661715249,42.85695016387453,43.53013093609529,42.01133325868526,41.44397775618332,41.63352710874984,38.630635060508865,41.37524567945844,38.805860135981696,37.04560987268932,38.54916179218223,34.809919401333616,32.30141658345757,30.595801379154008,27.22134535360834,26.88470845801758,23.35937993198669,24.704134665081966,20.969443421095804,24.4934897851124,27.23111047924056,24.540968232879486,24.841860470318316,20.55611769264172,22.250954646602395,24.641110804186237,24.23327910329686,29.247515565545367,28.9960362118414,31.602628414509862,34.40356208957238,32.532559237067744,36.65542339359621,34.23877414728242,36.87867054924393,31.03883029267921,28.27021049972393,25.914210853276803,22.795685520765346,19.63436962787621,21.734821184231105,17.637252218882313,20.557836258359835,23.144945888680684,23.6545814311354,27.313043399062085,29.333325465114964,27.40442470036948,30.50527974839477,32.35352086718354,32.85680316717369,36.48166378725633,38.0296885807604,42.871584543927746,44.71865239287048,43.86215635253269,42.659164832626004,38.94642262916202,39.27330862430145,37.22314772174881,36.34836483843417,32.24501953098105,32.696777059937624,27.53660444958744,31.21433388493806,29.604542185915808,24.381680041169176,27.661109745518587,26.190346718852155,25.614226122094,22.864341425884547,25.833599048471484,25.32048597070777,30.088925768352947,33.18481201972825,35.55284948429295,39.004555853071864,38.117638491664685,43.121529126931165,39.72396073641772,41.326916854493255,37.362166139097965,37.01619198647597,38.289367422904874,38.33166583541037,34.89936538948782,36.30987399343072,35.01157585308971,37.50825399095943,32.175474243617806,34.395540183671315,33.29284757923367,33.03308535316009,32.828443070623315,32.532424565135805,34.53887340700294,35.91120690170225,33.14534783667878,36.66732210861755,36.10555991617002,37.25151874666403,40.87655055534275,41.48712441466876,37.494761647601756,37.82813652024617,42.06689096766514,39.75710929646267,35.193523074071074,39.84709978674796,43.818893524905455,38.71936789650108,38.899149908727594,42.86619706369937,41.84657732626934,38.22734419898954,41.12421544239696,38.96933026058406,44.95075367191957,40.90820907966632,42.13485781297799,46.26997769492615,49.13945312127484,53.42487394664391,53.75825209941195,54.52577124103821,52.40481167915228,54.26662084387473,51.602949175394244,53.81429625776942,52.86416528912887,46.9364209083125,48.40237523408475,50.06438943015451,46.15821215291999,43.743378094883354,45.35084256689512,44.58882415494428,41.14350189440216,38.945910204708554,39.014123473996776,41.52552746989807,45.17201621814892,46.82217006247172,49.180303227298864,53.319159960388426,50.53800275003275,46.4427350436642,50.20877478028697,51.4510345804165,46.55848118814416,46.02940309778822,49.59955706793382,48.36733847808377,45.239406006521676,49.60943914000044,51.08847919631529,47.41094200578182,47.8484216803424,51.44534886209083,49.25128561205266,51.24022903851844,49.254076193613585,51.66335811862841,51.06305152999899,45.405524442452105,47.05192698447185,48.20324827576205,45.464116944834274,42.34171436654178,46.98837416228401,45.82354149033431,40.545018158026586,41.00820297151642,45.0312432676157,43.07727310489619,39.2253667927044,35.76005840400845,37.37841165832032,34.12280967806841,37.9177508800226,33.71458844837669,35.2089048696996,33.47439401406869,30.306927490178442,30.076770172445073,30.403104770570973,30.128589809637887,33.95549024060148,31.272907211064858,33.314726164576825,30.42809623560906,33.79609219682398,37.95636430657941,41.26897486057922,41.35415726145149,36.58087684290631,39.01588102943656,41.9852601203552,37.60052076899073,36.00343493680146,40.60097154651052,42.54744386576229,43.93650300285077,45.07360574313898,46.43069345830142],[34.70657761091313,32.139044023577306,30.322372828739216,25.027333421581762,24.88014674455616,28.655073824511874,27.590378295761138,31.736685525191742,31.138382887109646,28.876233255196134,31.71258872434385,35.48588954334985,31.56161288065622,29.18763692430257,33.6040241985782,34.309356825860405,29.92622612149059,32.00016017942943,30.140772119395237,32.58742831146674,33.617205470303674,36.815366231704914,34.69787809525544,31.771871632994568,30.325959064343614,28.34370209040575,28.191261921453705,27.424324505420635,31.344199391683798,34.05105956824987,37.87210363783908,39.08369164804152,43.266973446443,44.723015056647384,41.45196219053963,37.67067626964539,37.87045356532018,34.33578348685321,32.00767059845689,36.07762990015136,31.977843043143515,33.256053720993734,36.44504087641237,33.551718160456105,33.61108542179239,30.462534335367263,33.69242823980383,35.135544217570896,30.208299222960914,31.930060854776585,36.70304951732115,37.30069687852406,40.5762973475172,36.67033377810673,42.46874232073018,44.18822671791906,40.38817079050809,41.932216538254636,46.39688937494628,44.749572944730936,42.1892086139547,45.36019176253024,45.34356590579022,45.14563893169241,41.709281119146425,39.787282914344026,36.86103807842578,36.42684002023471,33.254779527702105,34.08067049333386,32.254859891149096,34.48296265826265,37.2126162183625,38.02551886319815,39.484259332945754,45.30030809997561,42.85857398132107,47.13630223798991,45.15264266928378,44.52864093132794,43.8145817723717,41.47120819941103,41.864832867970954,39.438572680409614,35.48374714900846,36.85229419971941,38.02735659472645,41.50284735736798,40.01226296384593,45.36758523207378,42.96800530819119,46.2254157002144,44.27912920964431,43.90530447670304,39.895474231759344,41.49984580416187,37.797480904629204,40.79247283398051,39.582112884663914,43.26279767819349,41.489635699907915,41.58772549951025,40.158162675137866,39.06015074945557,38.94117219728806,35.758388494722574,38.181180576909945,35.368335980941474,33.59721906575455,35.413147352294146,31.797792606523448,29.578711524069735,28.293685358492052,24.98990046442629,25.431123727132828,21.966603890673483,23.853726407806743,20.32579090839084,24.71016783026583,27.14068337089684,24.575597756755588,24.459782269841856,19.861317388622204,20.94104111536555,22.895322961121423,21.748040518571433,26.48170001438775,25.962363789968375,28.27254096380435,31.136999930550573,28.821292108595625,32.915357754939166,30.594561236641265,33.53923228896516,27.636024630561373,25.117982744706932,22.25958551419834,19.664644178285656,16.966367968915623,19.50874849548851,16.08962625906346,19.517762876143042,22.286199502673618,22.264467928575367,25.897834221428266,27.968412092162467,25.816027849631556,28.80477410935149,30.261754602071388,30.907178117886424,34.19283622915611,36.13295363342571,40.795052827065135,42.91242341964167,42.35088777299681,40.95757971264276,37.323810425858206,37.21266167573481,35.470220221161874,33.979200019641915,29.81289165419632,30.852905429122078,25.463549922340952,29.2506183552063,27.170804817428998,21.771047580233713,24.54710013071063,22.938373754894755,21.93436767035353,19.399876198320587,22.42303583792851,22.36888113620983,27.34996189567063,30.632834036670946,33.285614751707435,36.72521010609917,36.27435586706365,41.14125401140694,37.66591317223534,38.96972221963645,34.85049965708296,34.204194212857885,35.236492531767915,35.219425167533345,31.924702870421612,33.83637188505576,33.02523872886823,35.4760954476536,30.25733938662256,31.95195641006649,30.532699961956904,30.15367998168592,29.4863447436194,28.94524106654701,30.77048329320909,31.914886540663893,29.128346907745062,32.6125012025642,32.0205784135355,33.41558860322772,36.92286910118459,37.7848388434938,33.864786081771946,33.962907140777105,38.277824175143905,36.239060000112666,31.555893054477227,36.129570351552736,40.31667710868127,35.44384377997464,35.51739075993828,39.5184333432624,38.796432334162226,35.23733675059102,37.96245931843472,35.59500525795491,41.53804083212028,37.173956286847606,38.34223162011712,42.51496021647432,45.170742186353,49.53117159722411,49.70708100651011,50.4896978628466,48.31234998750543,50.15896230989114,47.576582496321905,49.657868022938345,48.644560815859734,42.78925572183871,44.25472737957664,45.77685835885199,41.862195413817545,39.50453916536966,41.101324627417256,40.222584336601614,36.795581207255815,34.68970512643603,34.82407485694242,37.538226390047534,41.14693271403553,42.88173129144891,45.38076835656338,49.572957039930245,46.9730537895652,42.76348624809852,46.53810591978669,47.99876695425821,43.18352525589625,42.50772910573158,46.24217401026528,45.19707469297817,41.96747460115144,46.19498178622864,47.88160530178621,44.39202414879671,44.56139515586616,48.04750664811657,45.69051553204886,47.551335569072634,45.51223033289427,47.749728792033075,47.20613304614361,41.60093766080186,43.06618251511718,44.152591434187144,41.48815846404626,38.26643990533875,42.78104058080199,41.664047569714114,36.42557377503532,36.7488313327896,40.73313217619772,38.86128803280641,35.03848235417993,31.713086888945828,33.3176811496346,30.250275859520833,34.17588025123258,30.095582518361038,31.52354630710049,30.117604375084838,26.897304760252727,26.360631062805528,26.457026759939644,26.053852920410588,29.915062898199906,27.48833792319492,29.49484826186076,26.968215758616196,30.48082111307624,34.72235168898842,38.01629313165493,38.445442173008544,33.658455175248676,35.98926972938876,39.21413668256726,35.10715791435456,33.39840806716551,37.916480234465304,40.15501573855462,41.629551944683314,42.83781062718123,44.10842432297692],[39.04583929240569,36.46673938936871,34.685028684940605,29.57932118235463,29.490740931682293,33.55282649157015,32.60804142378242,36.768574110976424,36.24050920821106,33.944476857296316,36.73736491299286,40.53143151657909,36.49854698284156,34.11354492192491,38.4023366569705,39.066932786669256,34.571108472474336,36.33599590768537,34.02887437210448,36.39549143613129,36.98688725706844,39.92485537525578,37.51071090360796,34.29083272726129,33.281045530291266,31.701898846180164,31.889404751886804,31.595040353753383,35.693205364158885,38.62205484410594,42.37471521277908,43.75885325730791,47.93054082863196,49.15489033089612,45.84568783610511,41.92720558878938,42.257260988991675,38.334144888698106,35.8170713721068,39.42390062525564,35.203751376766924,36.607029100373474,39.44559664574436,36.25104820339075,35.82305935429221,32.36736665902294,35.264628092621514,37.28573973746656,32.566594435355604,33.77568988582991,38.795472682326064,39.611277868962546,42.977139053901425,39.49020605725266,45.408232719780074,46.75250413021386,43.05374677864234,45.08484728257025,49.3479467882355,47.30230089974624,45.109688709007386,48.54105872426782,48.85268777863581,48.30657873027145,44.765348531488435,43.23595421898137,40.36303591303237,40.339340035549434,37.11505627077618,38.289413014812844,36.316017600636364,38.339741468781696,41.216974681341405,41.71191227308768,43.50134211668975,49.10723603187212,46.64766929455609,51.04682594544933,49.00956276991175,48.16208944730385,47.670969432911406,45.10210975165888,45.73527983177934,43.021624498414475,39.108793671326495,40.80226177644476,41.84121908992135,45.61991872232596,43.992848243069254,49.53441303820036,47.14633991279481,50.33411642130215,48.59996844633139,48.43519189975543,44.5575299173602,46.19526422655125,42.59366188496196,45.63981573954916,44.533215333744955,48.28102746383601,46.33077968557371,46.43589220887816,44.8067953467786,43.68138136674034,43.18912819602403,40.14947211098937,42.3588872390549,39.35444965745009,37.77924905265186,39.834869630737515,36.40626090848984,34.23974937214091,33.209936928001916,29.822802813190552,30.334685865670245,26.767673844552135,28.40191332827634,24.61929037932465,28.588023464213503,31.46253943837727,29.03807974834488,29.216695249438555,24.71026594617755,25.949093385302152,27.96805808583369,26.61237199377553,31.288388498611024,30.534817893494218,32.58499216634128,35.24310440881692,32.56684166959492,36.43048687030237,33.893622032484934,37.18538886183566,31.286487215792658,29.227758745283662,26.18433136113098,23.926275933578847,21.468757054175242,23.79048059385449,19.98149402567591,22.719072142106334,25.98514716408814,26.332581102228936,29.75915188007775,32.23852502923646,30.28911748808667,33.4969829644566,35.00015226755295,35.85342351819854,39.09529743388885,41.171904371067264,45.78346284095046,47.97248296306688,47.429622027981296,45.96744660899749,42.300025713767994,42.08880972809148,40.26786425074581,38.61185220140275,34.20456283038175,35.138180346980874,29.55291865907605,33.034049570701015,30.54008652396421,24.904012422329,27.457451840625218,25.148308941043535,24.478363676066415,22.57561838460041,25.80747305573196,26.184247980485424,31.067713902191436,34.522644090848836,37.34465596040744,40.949963949225676,40.704147820320834,45.3646901561543,41.630114048903266,42.883985595208976,38.45624276380268,38.22291803869638,38.7056592074734,38.29767852822734,35.10399371918862,36.80065858053914,36.104487452299026,38.089244719331944,32.48398755547275,34.097417953857274,32.40462287870644,32.65555720285263,31.873252082127337,31.608157016306276,33.475683376788155,34.538743272807366,32.204807048033715,35.75948448988666,35.32900809459855,37.1800173831791,40.50392286207829,41.75757459569272,37.95278663625378,37.67114729487254,42.05989616660154,40.358942532771955,35.42598782865571,39.810846148323186,44.30613307354293,39.55451152630955,39.335636269669585,43.32893421202065,42.93129558765895,39.207565944815514,41.571915557208065,39.04953599556334,44.95758623535816,40.030236937963636,41.52454534590199,45.729033456789374,48.09647493152472,52.39718690703938,52.49392520872681,53.59204667895107,51.42889296754891,53.31398133300728,50.95460211552362,52.69394301479169,51.49074829608192,45.890335494045274,47.32805748177977,48.36303541737866,44.45391418947624,42.32406036259672,43.70074421929523,42.36463181843685,39.134439521275155,37.28283567635844,37.84654994895413,40.91071090423648,44.45866740878006,46.442925752496485,49.13246604701268,53.41782461672759,51.03433110987579,46.72571352966979,50.50888343340766,52.22219325714263,47.50113163631447,46.64841677208656,50.50956782840509,49.6176010288863,46.254203163033836,50.294437953043854,52.13664883329491,48.726779847234376,48.59508919994791,51.971107315952466,49.46155111362848,51.295238330841485,49.309801832900824,51.26515513141714,50.6371095758977,45.17497570707314,46.45911769496057,47.24279687419331,44.6289865312951,41.42150969983838,45.5370999730939,44.20747640458483,39.17992179128247,39.36985999466581,42.93871149950958,40.93194144186319,37.28284701166757,34.302228629780615,35.21085876804719,32.35386756691153,36.61848337372772,33.00064062042712,34.85121213213992,33.91630637170031,30.311579010795086,29.67651410673072,29.25088391775272,29.073751655485257,33.18377846136616,31.366392719817927,33.35691946934132,31.29155164758941,34.870408244302865,39.19931533404059,42.450464798650735,43.12815948374268,38.34035086185077,40.506175110920005,43.895388442698405,39.971647132950885,38.07579351949162,42.47864414830643,44.85743664665739,46.34415129578321,47.51518906525385,48.73485621538381],[41.00374748456242,38.436806078763645,36.515826832104956,31.26038462295419,30.774202989665046,34.57238867267455,33.1668864164008,37.09816517405018,36.39047080887463,33.64737828836237,36.23140094357457,40.07395036925062,35.74336345492449,33.30362689846386,37.25959909243067,37.85879775300747,33.22019406899195,34.526229084171426,31.761915422409892,34.12552386372774,34.349662667376634,37.17790104169489,34.59153884730469,31.23690672422474,30.5538612299548,29.124208968189933,29.69495576249709,29.78317807548652,34.01710509940284,37.26026451664143,40.729935909571374,42.47667190399677,46.55164790007654,47.43277858182075,44.17535893555542,40.10344710786994,40.76480914398044,36.457743513747914,33.92442617815837,37.39735501125821,33.01884500919566,34.16396482100683,36.85038295320417,33.5645647888482,32.82474186666427,29.33370582375697,32.20494108680614,34.462452613385494,29.990511655307294,31.261803783432118,36.28685244155576,37.38511915075713,40.596126594371995,37.22875144981345,43.18968965635963,44.19979721152101,40.390891339003346,42.65325884970637,46.798449536288935,44.47575842882582,42.33603210183291,45.81481998293734,46.30307207926862,45.4600324216215,41.9156088367242,40.67896763682137,37.74194971666492,38.051340955101026,34.7886779588528,36.31644644428522,34.24926047707615,36.156149229455366,39.04840368036184,39.21570887043652,41.27499750394405,46.66704547683425,44.25959897947305,48.75826884544199,46.77663807169545,45.87191141531348,45.707919793603324,43.18015247871008,44.1927567982662,41.485586731887416,37.46911108506264,39.17857786114042,39.84976618927106,43.8746615662976,41.912014579096834,47.55693501580518,45.10557283658806,48.17056964046089,46.67392108310329,46.783546838629356,43.12639342773692,44.837783070236384,41.45445085069646,44.56370425656656,43.75085183367167,47.79991973267528,45.47509975062436,45.9931233611886,43.982996099475116,43.29705876674425,42.7136683945621,40.04939994586438,42.4965625363292,39.69168864648474,38.431442525547816,40.23708110493257,36.96572117429257,34.31688619827312,33.2933007241571,29.597979119379488,29.68229783568713,25.933341174712005,27.027707615296986,22.967189453393022,26.36824575547329,29.66589611546926,27.45112083355178,28.081956425356296,23.820391427611895,25.511174451054803,27.999662134353994,26.733008017865348,31.90280776260779,30.93294951606921,33.11675154103478,35.37824070015773,33.16668873520734,36.91026470391121,34.04334206489345,37.061050952820544,31.24190279393395,29.161043440957577,26.776722887192,23.939462247657513,21.17160531942872,22.91073468300894,18.440782281812822,20.527400295644238,23.933036666109317,24.756917416434867,28.034721974104215,30.76603160282718,29.130179458871375,32.63995715134876,34.492988991220884,35.623544774126586,39.15267648632629,41.25230097113559,45.900489284361065,48.26661057399106,47.33892256077048,45.71481659103676,41.884705827131214,41.811139475033904,39.58593441183183,38.21953936447296,33.5864638420306,33.95090029138307,28.394778493000913,31.595077838226135,29.286120091932325,23.739343283693742,26.74016141019186,24.48846650044423,24.4484350461133,22.382560942997863,25.621194355083908,25.65202019826393,30.257039059747793,33.62650740715533,36.30375667873288,40.04234153794262,39.63488909617851,44.20903078745652,40.35161949001715,41.81982719749869,37.36172722475661,37.682214089868005,38.112971840937824,37.61883336462048,34.30240933255121,35.4264053236745,34.36359460023031,36.24801003910538,30.494036518659897,32.53385242906799,31.132074539719824,31.579539884511014,31.323430900765114,31.446389032529986,33.61367304428861,35.0938818365872,32.99825808522257,36.74251076593489,36.680616725626216,38.2911504760784,41.944933557792645,43.03366745909021,39.216671833277076,39.3805043007792,43.78376323662958,41.983515870298596,37.37890177011288,41.8924088554627,46.19533904646203,41.5191260888833,41.58265740369515,45.595662703736764,44.98948619437841,41.47420832674357,44.1089966985309,41.629922090813814,47.54073672922239,42.81765925299954,44.033630344910506,48.237666035860876,50.58997014568403,55.009088473771065,54.96113167200587,55.76526037911226,53.420043981850675,55.09795170102217,52.47504359086906,54.216988842118354,53.30696845918526,47.62687401757139,48.77934770787284,49.99077230592548,46.27745869236778,43.89629555568032,45.03975834182955,44.113057539775255,41.01387882525585,38.60784330866922,39.422418838462406,41.960540951753394,45.60697110618191,47.774813986621105,50.20663634064601,54.595659410628684,51.945732299203016,47.82220449705925,51.883301038595306,53.37569999318101,48.59385252821701,48.10177270075854,51.98204337534827,51.03057333157487,47.87788541443339,52.07449821486506,53.87527819720077,50.50240905734809,50.623240406988515,54.04271979620482,51.57752559455532,53.264083146957,51.06459192636314,53.11175656576321,52.774575855277675,47.23481321135327,48.35886427318542,49.4312143802073,46.92571045283113,43.49251767868242,47.68430825663929,46.686525060983385,41.59630570321329,41.518996040513514,45.29828367295584,43.57537718838372,39.906813989317264,36.956048472751064,38.15078935564362,35.39806377519909,39.619659959816985,35.83469699952049,37.350922787562716,36.21207112229875,32.91008626486863,32.16902634559263,31.90609309431543,31.382850168866483,35.25932407370311,33.02778065343737,34.65913445767666,32.35649950006159,36.24491774151797,40.23440282996484,43.65051943241226,44.008209499018925,39.38149963931519,41.948925971932546,45.15037228740239,40.91770350346013,39.50402906432257,44.07002477650851,46.26212387613921,47.72831672011951,48.9284686515045,50.165958935143244],[38.53111390879364,35.81719133571667,33.51003426694776,28.367677756217905,27.21315706250048,31.099042098853523,29.398305653368833,33.1458137877,32.70497012529821,29.85552976069205,32.54631050818602,36.21399613660534,31.653156151472768,29.58722930580024,33.46670711018004,33.80247503933855,29.112385308141516,30.526619594829896,27.994045499766955,30.050036657227245,30.533185017191883,33.31368099071858,30.924703693549592,27.745138672651223,26.623748931045192,25.232755618617194,25.41350397190143,25.466606055577785,29.71817234054314,32.89066354435325,36.72582930012846,38.177433615032704,42.353015864017415,43.257690812431086,39.843756116022355,35.81281528146434,36.24647529978055,31.977660563959542,29.365806601191984,32.83679707069015,28.555048111250514,29.961687868806038,32.721257206751886,29.51659467247614,29.1754037553495,25.790053358844638,28.80115345332614,30.629643177705237,25.900348313809587,27.320102261030442,32.25003843047696,33.136161773877035,36.395001238429685,32.84746952992546,38.77438714464357,40.06307363611173,36.32145676578134,38.37282513033599,42.61651144513056,40.583369126826796,38.41044749018058,41.91423767575292,42.32497790797483,41.83093369558573,38.20479042095415,36.69176671084496,34.09365725926029,34.23442167010822,31.324330876600644,32.83591780260225,31.047053045224224,33.3277551536492,35.83149170838917,35.952303255745285,37.61846598249993,43.01498911973571,40.32056440208871,44.74121023091922,42.57607717249124,41.58102572041408,41.19853978102753,38.586944303360255,39.45895055918362,36.735953745715726,32.74480134976098,34.495201972899515,35.356071499607204,39.33242382105056,37.63171806721613,43.327137925232535,41.08618299883041,44.38303608231054,42.88136644829078,42.88957993841017,39.235597688792666,41.173350987781035,37.81602591931785,40.54620204368495,39.67291302563717,43.65692270494453,41.095709294071554,41.50214153246076,39.35633046468452,38.6393644624839,37.932509079108016,35.382011905260725,37.87612861306789,35.16149290956288,34.08038274932764,35.78187400282256,32.68406548146763,29.83138104919861,29.0312695779923,25.187763725071918,25.451089050648505,21.662453665864582,22.806887491004257,18.791993779502036,22.630613077408338,25.799401358697565,23.786718621811204,24.332910115897096,20.042490299263775,21.591664119778443,24.120822116543806,22.482709390580784,27.83722922608925,26.577204706538097,28.741744973384378,30.77270302833558,28.814895617587357,32.51284915606424,29.553984315295864,32.39162674074718,26.611569463542484,24.505320487062473,22.459062758561366,19.370944724095935,16.60482891281477,18.18115252794731,13.797864386092646,16.09501040358746,19.538410384296093,20.158238085587364,23.405457413339246,26.187139579080295,24.545863423614556,28.116652744676284,29.940081321710377,31.31701274771274,34.82862838080745,37.165083765173556,41.7002809959984,44.367518719486455,43.344748201151695,41.48548874678273,37.61622451692764,37.37139002076134,35.09183803101496,33.5811724993199,28.840865071000806,29.22839550546654,23.613510352115178,26.820519041120487,24.50410123217703,18.981529612641204,22.110145041513405,20.158876510407723,20.170318153111523,17.82916997770068,21.005593536296498,20.87465207585209,25.438741921495424,28.79410786823406,31.486740387465225,35.239945477921154,34.93409503059423,39.43615375888147,35.55519226865236,36.99082056598547,32.54440217860605,32.879358534211846,33.36078924168399,32.95579607055004,29.58786334184263,30.75814142615568,29.718633166987683,31.767997811537484,26.18052789010267,28.194572910474612,26.919810302111483,27.072843019447422,26.947157150559107,27.05937672396263,29.31573602721467,31.008991534474212,28.893310651015792,32.710797937315306,32.86807782493929,34.2362264766317,38.13212863869545,39.07900693546165,35.291805494903116,35.82972996912772,40.2208986458336,38.40449734678391,34.16291412009479,38.74814669593129,42.8637621340925,38.41678747017617,38.767303033685884,42.77711468110414,42.078175950963335,38.896503628751276,41.75510730411124,39.25615757403264,45.0899614934925,40.60073592584303,41.38780971350441,45.564333210514285,47.86310666655703,52.42869745789266,52.19277276262814,52.61903943788924,50.09246987798679,51.5675411132782,48.699210332608516,50.5077064755673,49.87977495546384,44.09636495479195,45.025338028445404,46.50963207293105,42.96141568591422,40.324781827400784,41.37356789995289,40.919011242377316,37.864508021750275,34.966730058788784,35.82926102770253,37.893337682989575,41.59962471814052,43.84644934333034,46.06755379300157,50.51278413970776,47.69107726839655,43.70338178799195,47.96920442811143,49.314793728508995,44.525466697738885,44.30893357528384,48.23835671463297,47.31214901308664,44.34536556043711,48.61688337476773,50.45061683374939,47.23612215418108,47.50332873979781,50.901062528250215,48.441851704642815,49.915619914735586,47.49372709082514,49.60940086336677,49.59021255043928,44.00185284570647,44.93646536019972,46.33036798240443,43.96351545345855,40.29609441270056,44.606388337365416,44.01905960956692,38.854493389066945,38.51683022710871,42.60343555965999,41.24540761936549,37.53389274379137,34.59068557902834,36.30316893835175,33.71228395629552,37.79158194352236,33.81369189654494,34.79815267763207,33.54711308742869,30.68879345755342,29.688314522426207,29.6132954502955,28.615035437919015,32.14228744994691,29.51570244067518,30.78106406018898,28.373827462736443,32.55963191942039,36.22401671237234,39.75139748927897,39.98108468379592,35.52793248912822,38.404009950198336,41.528442849352814,37.20405435345253,36.21966937084407,40.858073022749764,43.026016827470684,44.517034595145724,45.80055478937382,47.00139327538111],[39.18824953821054,36.31524214607014,33.896110573281014,29.146115345483985,28.048011300199246,32.651433741793845,31.43178725498633,35.36969691131866,35.395091455268215,32.990611136167225,35.95666357500575,39.472622746959445,35.03066615949272,33.25621318766515,37.3467579549964,37.55723697716367,32.934567061164586,34.63718295917611,32.356897704838374,34.11948021772767,34.7110889546386,37.25835397053574,34.90093707562358,31.713376892087705,30.459273521120323,29.390182462374767,29.241458311697432,29.30077461032623,33.51136953200857,36.45073070686299,40.748601861340696,41.75297605861159,46.07078468373486,47.14093830234677,43.54927225482519,39.61718108054568,39.64102105284172,35.49384014943926,32.687564469664665,35.74136910306469,31.657183922597916,33.66341980872318,36.20430018742756,32.87706643224133,32.60027696218925,29.03602560517692,31.701739053286175,33.62829300202572,28.78099983953374,29.570599679300148,34.63550427600549,35.27646701456678,38.81680091414241,35.54891598071108,41.45518606496103,42.879720489303416,39.483527258153515,41.65174882941022,45.81992440370984,43.86961440170693,42.05941338015252,45.77954797865043,46.29819575427155,45.98734402264763,42.23627456418087,40.664031294811984,38.442824743547824,38.532109348184896,35.8533692073677,37.28770892519633,35.63156773459042,38.034003489273715,40.429278026384274,40.56414665443138,42.01693530993076,47.39200866854658,44.46035479249967,48.80930922628422,46.419143708201176,45.19190809934211,44.531116257508785,41.585798692598836,42.165622862153356,39.12582573072088,35.38042644410835,37.48063553109691,38.75333185428337,42.691309355320485,41.43112424621947,47.18634122051512,45.18577145173578,48.67275800431908,47.13043170115588,46.978259751421476,43.22676863821608,45.246407527159974,41.766655236916286,44.2250543469478,43.07567657941042,46.71931281008685,44.26750099033558,44.10891623432479,42.12590319533468,40.82259233162196,39.73102606140317,36.96330719728162,38.9514543163894,35.84068973690985,34.71466734721406,36.9187814441444,33.947916077898945,31.622426878859187,31.234173178802365,27.61821216133542,28.617823189085946,24.97615672967594,26.579351535480544,22.78413061499595,27.046843598641136,30.01912223631759,28.027841997340214,28.250844790711035,23.760553935050275,24.786288112890652,26.790078983695377,24.59726747905077,29.377521739385873,27.95066010249981,29.649214178628664,31.79705415613496,29.02156286026768,32.577021257083246,29.72525135143938,33.172513335297865,27.35295509381898,25.792566695136628,22.89410939437329,20.81257591689132,18.77984515014014,20.82733969902542,17.195847313570603,19.623939523302724,23.294978705967768,23.545613578433926,26.654332467825014,29.52612529891641,27.72189827323389,31.1240724893419,32.51623097021978,33.915483883904244,37.00526435265605,39.61740962402331,43.980626036467044,46.722487811990284,46.10855793817751,44.21174533166242,40.484114888720185,39.852187429381026,37.95947935249341,35.82294812991501,31.06866704053152,32.08142798213618,26.269686093656375,29.444585235848855,26.449470094702598,20.690506367583044,22.936922807034254,20.291328690642757,19.8802696365354,18.359689577760495,21.688446450227676,22.429275221935494,27.156257719569144,30.765438895746648,33.811876430140934,37.55507331249223,37.74812349968494,42.04321481376863,38.04161677816587,39.11812645950562,34.41209113500509,34.51971950379724,34.467987751028325,33.78075099434029,30.684033926535353,32.35323716157358,31.951366027851723,33.65022841085198,28.003833078209492,29.31017437789977,27.433724028995734,27.892377299036333,27.035684395453362,26.967454816249703,28.94627146017633,30.176900998954753,28.272774759721653,32.003956148732954,32.062548549519995,34.058409254495615,37.55442975895211,39.03119149488726,35.38910157098573,35.26197881348236,39.73705298142828,38.3841438268317,33.72771415128434,38.05315476473006,42.610041152652684,38.35198819903396,38.28872584959615,42.2959976773256,42.10578568362468,38.74466300055756,41.11403810456616,38.36417303477528,44.13808079211049,38.96940811801607,40.07723490996657,44.29356199523694,46.259556867652826,50.771312766407,50.44775530798651,51.25119924677427,48.7920891605797,50.38935973286114,47.87204991241937,49.34727482386882,48.391659222904906,42.88304719074685,43.93852595880375,44.883414489090036,41.23464430325631,38.93012514791504,39.92771649077357,38.84742265858656,35.88421290880167,33.51686216637483,34.616221034873654,37.35313660282397,40.93134324446413,43.313105291655255,45.89728938945077,50.377755522194455,47.97461129264917,43.751993899720404,47.86745349288326,49.64426780535901,45.01192272090032,44.38181810088706,48.480844671078664,47.80626334175902,44.576398153355385,48.541308301389016,50.625885516292925,47.56122655521354,47.32862140997203,50.556595227339315,47.873347311061764,49.3242314772493,47.02277635401359,48.780992969778026,48.58825567500393,43.17958274962546,43.95260536934013,44.94164687109198,42.60694230436118,39.00178095977306,42.89773674365983,42.029536766063735,37.075958708984246,36.67590234153571,40.33485533688735,38.80423832045766,35.2489173024681,32.63852507344762,33.71725571290576,31.368207683275227,35.77785059439296,32.28531717206932,33.67459072060142,33.05778581801049,29.763390482391593,28.5547554894736,27.8853435250989,27.124193601202123,30.961477668705015,29.165562287720373,30.590720888533966,28.89017233030553,33.008083735776935,36.963939872046566,40.34307903594171,41.12883084343552,36.590081653576526,39.05145773149839,42.53309425715609,38.681539801533965,37.22831376808003,41.64221947900534,44.16812767234935,45.72631010119796,47.0063088082173,48.11650050867749],[42.327712646768305,39.51345088302653,37.263328364720884,32.53533168598763,31.72428895924677,36.35021993909178,35.26328924615913,39.26497765261409,39.19287119746906,36.787311702741306,39.68770185903562,43.287581581050105,38.875682233322415,36.94191112384947,41.00512278903709,41.29924889899461,36.64350309825032,38.16618515835712,35.60823586522253,37.4532015917322,37.7561811385513,40.20106188929865,37.64898617787185,34.28273460538175,33.38984684108341,32.47616956904322,32.627778073459545,32.89592623648026,37.169500590421855,40.23701230733926,44.3528871976582,45.55491138013814,49.825718937670274,50.77684156123609,47.23183459163343,43.22475570602894,43.40598228554243,39.0770852361249,36.235895787970264,39.08725668431523,34.92657878534001,36.85708935512828,39.208749046611544,35.73435523178651,35.0873581016856,31.37219321530222,33.81375135692142,36.15568281886612,31.542504911814177,32.04740339481563,37.21990933405223,38.04938256868304,41.58232386714078,38.59221900838511,44.537036431895416,45.668068018763094,42.30250302456278,44.76496241195154,48.78908824377957,46.55074758850509,44.92633690313938,48.74473739159802,49.44025435499375,48.84362559749265,45.083371753758186,43.79369317851014,41.474075295240254,41.80474021908052,38.97785729455116,40.568043235030565,38.75059961797952,40.93804578505571,43.527838253295684,43.5379714851605,45.274548199636975,50.54884146109509,47.716442892477545,52.14479074663355,49.803196726435324,48.51351462195761,48.04485627227067,45.04669504968848,45.79878369653838,42.65937734281006,38.93069606600378,41.13626532728601,42.254847111712905,46.33965406687363,44.90941173001881,50.72140095862089,48.64694075070685,52.01536556970766,50.572721612779134,50.5539536567384,46.86213625227609,48.815756337645645,45.37193462271249,47.997617758275375,46.92552023177991,50.638294640640986,48.18822225332366,48.099581075818335,46.072315476791736,44.80124348752682,43.61289258383429,40.890875924835626,42.78585536528525,39.59531913612193,38.498712284961165,40.806613413900784,37.85390925943508,35.60409762985754,35.20618454903147,31.606672584336636,32.51144512902276,28.836323508181167,30.294748210728173,26.373715950101314,30.287182190391977,33.490454625424675,31.478562845186936,31.86096828169911,27.414824361611068,28.59061317038623,30.64144130072968,28.565088123173915,33.278421889911925,31.89164370213239,33.51362374140651,35.6396378916387,32.68712154787658,36.12910795759269,33.2354691220482,36.83744112719521,31.066140193585934,29.688067375436766,26.68050658019702,24.773222410687918,22.775839105103604,24.74839784326459,20.896009059073567,22.944952627382314,26.75501483655168,27.25463127198579,30.28440655191779,33.28873747678145,31.584325080411325,35.055118448530585,36.50164457600259,37.88872978232362,40.98869607472248,43.553105727499585,47.94400813210865,50.604663078317806,50.01404791929849,48.172783265644874,44.43863119717954,43.84725979835502,41.922110460525076,39.80941345577873,35.01134741127629,35.926012587837484,30.09681333631049,33.12025181740935,30.018088094376864,24.24630161078887,26.37390470550416,23.391769730521816,23.16927469644713,22.011965339189945,25.368225036339265,26.26855857498577,30.9020224389562,34.54374970634205,37.618255499121695,41.41375003387774,41.63180452453852,45.859139813530625,41.76889275008492,42.84910755338615,38.036652815818854,38.34086633325044,38.05052881809348,37.16628085842119,34.15133564238919,35.65338620273949,35.26404200214556,36.682249639633746,30.84791616411685,32.14696332718913,30.145186718196054,31.005486456830194,30.10479969008033,30.191493347891363,32.144929620821166,33.267086930678516,31.602785005754384,35.29830466253616,35.35474447946283,37.596517645010415,40.91453689757546,42.58731133733003,38.997695234167495,38.59780410683099,43.08000527189467,41.86813815328131,37.01073944044767,41.215075987121836,45.939309202855604,41.65726879146428,41.3794367569478,45.37008827731773,45.33691087943951,41.79890681461938,43.94138006664097,41.14973750935289,46.91505253173622,41.450352663599986,42.84490776881781,47.063995248256816,48.91415396125656,53.32849861353414,53.03475714364042,54.10632611425871,51.72505906549037,53.39985518681899,51.07536521109101,52.36484374675421,51.23398335948004,45.90772201771463,47.01687068467711,47.63876857077302,43.964499707876655,41.86745063796744,42.78317807439995,41.33963844549566,38.48449214989097,36.42249200115952,37.68917134075648,40.708738191142444,44.21628508701457,46.668824886599,49.38949799594141,53.87475205983955,51.62570717536235,47.335527716649906,51.372290145780646,53.29462887348338,48.715113766039586,47.92606151009365,52.045935413715,51.422919092875844,48.08452899504613,51.94053369885507,54.07008891543659,50.98565820737004,50.5847926146972,53.76821303614243,51.027836505933195,52.53705739100087,50.3426372484692,51.95052029788016,51.61340117896825,46.305057642511144,47.06350321102222,47.80446537242616,45.45627570870004,41.96110245668724,45.613670256776224,44.512757713249755,39.71469082950293,39.34937082933189,42.68078479465269,40.972702384749056,37.543658989793045,35.10721575668811,35.677995643266996,33.387998548848174,37.95958225913649,34.7582442706549,36.50535687589122,36.10915766434452,32.525599047890374,31.39399617370805,30.460590196425578,29.978761888783403,34.002638512368435,32.59497662242926,34.133858704157475,32.636797555389236,36.64684462346061,40.73032890863192,44.045468340393555,44.95700720258619,40.36732194660402,42.65894098372062,46.2147988869666,42.456377319578344,40.7908986188278,45.134569485998426,47.71104955835399,49.25953012190441,50.490164843345845,51.59488075816098],[39.942901776590425,37.09865433129094,34.913544989052525,30.40469113511743,29.85076969503409,34.722748599927485,34.03344870841771,38.19153067891608,38.330806644874066,36.33713357812528,39.424019534004074,42.93586960011673,38.7915851723151,36.9655682294281,41.299945557580266,41.62365361355056,37.11748521872327,39.069701068037354,36.971952545923266,38.804057602268315,39.49211517679804,42.06201957940302,39.712229665405744,36.51339145109771,35.25917590606785,34.16373894450781,33.925586776511054,33.8103309137454,37.93185314249681,40.68230352958164,45.07905417567697,45.9080747641929,50.265561793858716,51.54511618259128,47.94894431139446,44.10638284699937,43.9555476317379,40.02658276229542,37.22353305534158,40.23633024614836,36.25465241079625,38.40686807713595,40.93862737249979,37.59922902812694,37.31923357488671,33.69545820507597,36.22434015391666,38.238581591139656,33.37397479234857,33.91416538542091,39.01895117432991,39.54227655080172,43.19560229308044,40.03566284895033,45.90448816384426,47.408635042280565,44.138854834028464,46.30888126579026,50.46616535667739,48.55452030337113,46.82933071480862,50.56953359527934,51.061841800722675,50.795523001071054,47.04796072141865,45.43371656794751,43.187340212202926,43.171685058456184,40.41216825800893,41.663590396397964,39.96537510798711,42.30049816918541,44.829790754620916,45.14920158475814,46.5859882368435,52.06486703638176,49.167728812755506,53.483018458170385,51.08449107498658,49.86518864046846,49.05896730289539,46.04709902114515,46.41052187465643,43.30197664690515,39.68246948939358,41.83636600231816,43.31517643692323,47.13124493077554,46.043675593282295,51.73812417753687,49.74245988189578,53.243301690150275,51.57170083145783,51.28092355850581,47.39134694883344,49.29757366220965,45.66605978990494,48.177701399151786,46.829303401986834,50.23824273177583,48.1219838515532,47.63405161020544,45.964918430994345,44.282086594316134,43.1891148683637,40.125891543910555,41.79311264327021,38.43926690238527,37.0570912702364,39.58066302168634,36.516081045628226,34.718889414797076,34.34788135891572,31.051023365077214,32.36282775762497,28.884500892918563,30.822586969946613,27.19032995233799,31.62534977336955,34.411321276546396,32.2373067385021,32.205196982649625,27.579572918624134,28.325037927399553,29.93233343138878,27.739842420647754,31.958393527807985,30.745964809567436,32.21976558516156,34.69282564722278,31.337963808163817,34.879673648184855,32.33320540441702,36.14972111818267,30.343351718525142,28.982149606647297,25.396168951180652,24.058236013507813,22.39032542537434,24.860757739753318,21.67849410567814,24.34097164064529,27.95017027072112,27.98656379305781,31.142313702811897,33.871370930221474,31.882154254200746,35.046981626496134,36.153799029944324,37.298591052725875,40.106034476553646,42.667711702006414,46.98699725901706,49.51402307332466,49.27187622155784,47.55804958949677,43.98825767331912,43.25086798446915,41.710057627958506,39.32594186853899,34.769871108112895,36.21889162174751,30.412620419664968,33.69782683556015,30.483387947157617,24.709221176020556,26.409034728621144,23.493126347398018,22.604318440182578,21.571802226715114,24.85781014323775,26.0513275509081,30.90684772311278,34.58950052806807,37.77149404546696,41.411467115275585,41.7775793908916,46.0750517278432,42.13439347584725,43.00826834305749,38.274301295459665,38.01705611619215,37.8196616459256,37.064235932089694,34.17406158227999,36.24538484245715,36.192183238830424,37.76614442680941,32.16526994647339,33.06451820588913,30.839191536027737,31.402472856119612,30.007490821086417,29.67535874347846,31.315044840559885,32.02960741724335,30.107335172980164,33.59867886391797,33.307714407390776,35.747344720491135,38.75839981213996,40.56857392466853,37.011667570759045,36.22493661174099,40.677830050129685,39.57309062603592,34.470233826968204,38.5372661720115,43.41212143035191,39.120407268072384,38.611862334691864,42.56970483300663,42.73546043209779,39.072769986886215,40.973049463952286,38.13265230323961,43.861222216378295,38.22850304696751,39.820258158216404,44.02910422826222,45.8754592680152,50.20101801431406,50.012313111770254,51.30805923316816,49.07978103720143,50.92631985684507,48.82543788163581,50.128857821789985,48.75252745967689,43.4905276556902,44.85229239710463,45.348568893385334,41.50194626460625,39.620057008471214,40.76530445937016,38.983668323001055,35.99672631455738,34.433577439808545,35.44040929844059,38.91229585371731,42.320578678619405,44.58930603306735,47.5260090243257,51.90401627654978,49.89393873942272,45.4544421089499,49.23732475869496,51.34702556471886,46.83842980463432,45.742096154447665,49.84068231176632,49.28271869794831,45.780533238329106,49.48350665257359,51.656528517807985,48.57545119481289,47.950738410943984,51.077931552048824,48.29762343337305,49.90922163527568,47.89145052963415,49.417119702592046,48.84707568233011,43.61705078965506,44.497945867568326,45.00412419850334,42.57586931003292,39.26862735199592,42.85903273716927,41.495934160772556,36.75214641015743,36.608573621914346,39.77796410848791,37.84566008381123,34.42896167777467,31.97764632321355,32.337741926758824,29.990899394461362,34.594635722750944,31.550988610991872,33.53156145597807,33.346932786528285,29.556725009366573,28.462417605484834,27.367441346896676,27.151102578902865,31.341137334910126,30.311383269280967,32.13839386190589,30.8826081547159,34.613201974315714,38.952728649584344,42.1086961323194,43.30791226950785,38.61626578465976,40.55671716247461,44.26884654938547,40.81414242976768,38.76874912903997,42.94311195124439,45.686222543604615,47.25329761181554,48.46585223998012,49.54089511033815],[40.57240865326996,37.94600190278609,36.24213392875125,31.5913623440985,31.78346105991474,36.337499402810025,35.916795458506016,40.23401677073907,40.048577053544825,38.19335161888207,41.181622714586766,44.85713101225523,41.013353886284165,38.810798095534686,43.28739608083352,43.90359610956048,39.48916883765041,41.49640795553001,39.38358491787318,41.582967252602884,42.25941334096658,45.056326193824,42.65206156405105,39.40974087081248,38.32372030471174,36.94389010181612,36.91283691976103,36.5924244372723,40.648552073112114,43.38083192205268,47.45408666048931,48.50042891308081,52.77232444085241,54.166705679348595,50.74153269796182,46.90984787295189,46.93044573352623,43.1401146064744,40.49662047452178,43.82377625044638,39.751632939798675,41.567960755072455,44.26476398969775,40.97741268113783,40.57582231173965,36.982668847180236,39.62366061876941,41.7449602552952,36.95291772794977,37.69542579197042,42.80857181947791,43.4445839980205,47.01676453644745,43.749905524748144,49.64387218149202,51.08712580159261,47.64441581365284,49.76447410115703,53.974979958386704,51.980157095584616,50.04999727205759,53.63616344946946,54.01713812129352,53.590333262225286,49.96311963422964,48.390994322066256,45.745337013907864,45.669938151222176,42.56757237026559,43.65254145527622,41.751993066414215,43.830752602089234,46.67614560202366,47.22581896882343,48.88299996337697,54.506253590428656,51.9034601003934,56.25446971556705,54.06878016152954,53.07117871568396,52.36295066426842,49.55792213401339,49.94326417259222,47.00754391221221,43.29165512595497,45.22417970416267,46.579311231123505,50.30489575746327,49.00461449260369,54.57454213413379,52.33920258120329,55.6530552559538,53.854954402855945,53.54631369142959,49.56649500915184,51.21817800140398,47.49696270379496,50.380817702672864,49.034403808363784,52.47100200821104,50.71408977008302,50.34353906975513,48.931259116426055,47.30604855060015,46.57076911443943,43.306357249900174,45.06106392763864,41.73752773872495,40.04838123232619,42.526748482802944,39.17365641143779,37.552703764420436,36.79798909491767,33.684861436492646,34.74217441098773,31.329065036971333,33.31188499097242,29.6940516426146,33.95727348510438,36.68212979358779,34.238646325257385,34.15831141012358,29.52585585383411,30.36196620384248,31.9192860862299,30.233054442193232,34.29671178027502,33.525592014273485,35.17666125849157,37.994613376037094,34.62770058348238,38.3434201641707,36.02360425977584,39.79343788636059,33.941561432237265,32.312067455462284,28.57369648289584,27.20770860943596,25.326276421245737,27.981055264256657,24.698041496841462,27.531177448369817,30.943754541842473,31.035297637749327,34.38222410581081,36.88996045973116,34.80108429481852,37.83384903542432,38.975469127243684,39.758281364522965,42.61383821832365,44.83289807572701,49.291669845737744,51.43087347812526,51.29831032835474,49.88794038458138,46.38277616060493,45.888965114267684,44.43962749327985,42.3133205386103,37.98285707829975,39.427632004866,33.73688417664786,37.21004149644626,34.24886700202096,28.51031540667951,30.363469124317266,27.59772295871434,26.55036864731591,25.33349188046428,28.571560137741034,29.594523054489013,34.56042250452206,38.17132308539672,41.24337849132166,44.79998151457612,44.926087815192744,49.444632468657076,45.65785276135712,46.61712559001264,42.02893978224333,41.54246840568163,41.63483800309992,41.025993063249295,38.09659203211337,40.212394040719516,40.01589320281508,41.73141714803389,36.117403279918456,37.17354078545981,35.016767359748265,35.4963152090715,34.10189862591867,33.64197756530484,35.183329336517424,35.73487330359172,33.565800446127675,36.90257856441426,36.257603956840086,38.67248253930278,41.47850854316168,43.2047882060805,39.57472177567194,38.57104601018806,42.942959328931295,41.671887374588465,36.32933814933991,40.35439253242841,45.23479170739746,40.63734014479976,39.9299180941659,43.84500069250002,43.957045406732014,40.0050438401401,41.775223107044624,39.08158575948639,44.854964400146194,39.29819966465063,41.256836597017085,45.43253039097352,47.50398928016229,51.62256251412106,51.74678479107022,53.34835719028329,51.37061698597462,53.44907826102592,51.54326158697455,52.971260052853175,51.35375031138496,46.10836955204233,47.76645605996666,48.223312152365196,44.19011598859479,42.513916597243714,43.91590111436894,41.84426155333331,38.70502379018172,37.62675098078442,38.28027031847364,42.071230082583355,45.41962427148812,47.414450563603985,50.475993854786296,54.703957854859965,52.78520866154492,48.26057432451979,51.761796561739295,53.893320408795134,49.36256407979663,48.03771532639141,51.97284850329719,51.30171974716524,47.668448692066505,51.35118906262837,53.38035040507133,50.08181427380227,49.43649505028459,52.62581353089799,49.94616242304287,51.83693012459928,50.09120305919348,51.6872848481717,50.7543428802563,45.55189032583241,46.780828097891245,47.045202390021934,44.426387190958266,41.46074656873504,45.10462324568005,43.334753190925895,38.62385395419901,38.9206767270424,41.89817698732915,39.5716370598751,36.1555085227485,33.52071587338357,33.581828089773644,30.916560266655832,35.42745545215556,32.44620435793072,34.86158693132344,34.57025423268337,30.493341199376783,29.817182399171262,28.798659940162835,29.089036702594644,33.48590829526174,32.59755859951452,34.83588540679594,33.433334830069036,36.74442126816711,41.36954572226077,44.39456208177589,45.59921255495761,40.737973913852414,42.38405782791175,46.069746899272324,42.65853143929695,40.223680757639634,44.32148589293596,47.00639296912651,48.52275621170277,49.643992025640785,50.77574544139177],[37.474558024362466,35.042961526922134,33.75894253960896,28.962762031376982,29.833547604383938,34.001417599247276,33.861008867449215,38.303311677597065,37.87455826282801,36.28914406680774,39.237617188687246,42.97556404869718,39.540554510456715,37.09690353770078,41.77786254279759,42.64993696338628,38.4496673961893,40.748206545697045,38.98682859149974,41.487235488099124,42.47135510865312,45.59751229381115,43.364911971033465,40.29148164248722,39.02198385936279,37.18914409084612,37.04905755867124,36.249316545257805,40.0896758777459,42.58962069070123,46.483894228268724,47.50834143050244,51.712257015553895,53.39781145506857,50.13494742239661,46.44858851686986,46.452311146143664,43.09422804840003,40.69385139610881,44.5286310726888,40.50226149324459,42.046230088322794,45.08816017500563,42.0370343760226,41.889851034195,38.49988390241665,41.43429364263604,43.24867383481676,38.33483317337343,39.51711558367721,44.501032668435364,45.03746569202158,48.527403536999735,44.90371953798951,50.73306360137956,52.42433608426275,48.8100718784021,50.552212441918954,54.94307004141367,53.18573861572157,50.86764557966489,54.16416887825779,54.225838716566905,53.949361797196616,50.484366315072236,48.65730942806769,45.7051577390539,45.28136286544486,41.979346131500996,42.657963340586,40.72273267880185,42.72643497939507,45.7068769276881,46.681199850192534,48.24819065345828,54.121609379204365,51.753690586342145,56.020814124124726,54.02637126410092,53.34593266626436,52.514561684418986,50.001208345814284,50.182111235385676,47.55417433833143,43.7750422421738,45.34483686737791,46.75575539402274,50.167419244252685,48.86303394170192,54.17946989521734,51.7792212404541,55.00051427109398,52.93783118906711,52.43401436491883,48.28680704758451,49.69286458711649,45.823909086727845,48.92845309433966,47.466260907184484,50.78802160839471,49.51249830409413,49.136130424208204,48.133194084274585,46.47962050443273,46.26015899509896,42.692353944036995,44.57633286321805,41.35973711000277,39.25650410901388,41.60427664618374,37.908287972764654,36.528301086460345,35.3513260217202,32.54681462823183,33.47073427181323,30.267489417701974,32.504198629973956,29.150948427183838,33.552641527953206,35.87474339259796,33.14409822098756,32.770859459483944,28.125282166582252,28.811687509575414,30.132663586517978,28.94154555225108,32.71319133709243,32.470536373068214,34.34541846022789,37.61394257675347,34.35348291844011,38.350732633635246,36.40328606961246,39.98443519182252,34.100155918670836,32.0411577229198,28.159338355279306,26.774227752982316,24.752951946174218,27.732865598038998,24.776587738714042,28.14111980347291,31.109060219062144,30.95352846013803,34.53794274518002,36.58940898200938,34.274385196233084,36.984215270498765,38.02891573625995,38.34678023935574,41.16160091216863,43.011443067675124,47.563648752228694,49.298395876575135,49.333971500993954,48.25069137227163,44.88243684633975,44.60479593251373,43.37826560442252,41.49041369422226,37.55300198121331,39.17069611462665,33.71564226326131,37.52122579300248,34.94454508429765,29.360787041247832,31.34311767638771,29.055665344743712,27.58185524096684,25.938680163503836,29.016188934424317,29.76748895270457,34.889705098210314,38.351263765927804,41.26132976469745,44.61145719072178,44.47482089254565,49.27279727803405,45.79649398005972,46.80004653457496,42.52291446929781,41.511866292630636,42.15171940736572,41.90346682642478,38.91118738297148,41.29715497924666,41.00030886442746,43.11338478949322,37.73593061608939,38.880944013653014,36.8773348578729,36.885928911419136,35.457503082556926,34.66439693809205,36.05257084556381,36.453908355844554,33.77054658762843,36.90815828888906,35.81307524806598,37.97846920232024,40.66055463078656,42.10863417907321,38.365162122744,37.32243068268312,41.57359596226258,39.98349929311306,34.53893759933295,38.61227555039768,43.33745549680917,38.40764074675601,37.65582949167614,41.533533122576046,41.44134100073084,37.311734895352956,39.14268591437864,36.66097815712927,42.50050607841262,37.33873715666879,39.44026866291555,43.57374201931599,46.036182710931826,50.01125308406763,50.47519040383941,52.162401658363336,50.409197378964,52.68811757136772,50.83632815670471,52.59531130509961,50.860216215175896,45.46242154274916,47.43028487502488,48.15624969085489,43.926686607458116,42.30152787127574,44.09909874279413,42.03523340449812,38.60491628166266,37.83443246766867,37.88500912986424,41.80919347213092,45.12997880012927,46.71012082433672,49.79705220965519,53.82003013668623,51.89156985745263,47.33319819384688,50.541012778775105,52.5700922161396,47.98685498576522,46.51552287692355,50.2263195970941,49.38206768138811,45.68999444239909,49.43399798957219,51.251892133025684,47.723686347063655,47.200246789651246,50.50068174848703,47.996122715151614,50.161917756468156,48.64557560548397,50.46643153265424,49.23911730186348,43.9776619985567,45.64043508669209,45.8574541494136,43.02458932548021,40.36777338045987,44.31673602435201,42.30033744384864,37.46791671336381,38.26398822004482,41.34996598906088,38.74048228091153,35.18805356593985,32.14418324701829,32.39979420270094,29.276214100169327,33.5016187210652,30.272681766743318,32.85380932419282,32.225392070722556,28.07439950072512,27.833927030052244,27.171542057227043,27.81069292398563,32.27308483300195,31.227548337360883,33.875552931617435,32.16434064666977,35.00447192413725,39.86018424644287,42.75289917934947,43.88264082461932,38.87934080479463,40.278176726609416,43.87119434670052,40.4843232283457,37.7404022880045,41.78021386333989,44.36579422417111,45.835848953727634,46.899066656252096,48.103550602226136],[39.75349680841324,37.37238667882787,36.24713392943211,31.810195556821554,32.93158506368601,37.29002181981903,37.479308761319956,41.979767920339384,41.69791934445673,40.35889697287267,43.36554341999253,47.04703549252087,43.74561556095133,41.35614911383874,46.105853843572255,46.98115725418065,42.825422240012855,45.19227537749194,43.45212340283646,45.90103482406105,46.85568654967584,49.90092213017797,47.62130014831977,44.48713305783632,43.26809253508435,41.559564185617994,41.39450035718768,40.636309141280165,44.472223694064944,46.90509277430789,50.898926830809685,51.80678727174817,56.04031983863564,57.79079623726088,54.490393477727324,50.832054609287276,50.7239591014639,47.39277176860882,44.9246729455535,48.58610434481801,44.60634395189439,46.32515134090783,49.263968201153574,46.129618517987275,45.906557220661824,42.41181342944395,45.18352834615065,47.14416142197237,42.241100414498376,43.14731189105734,48.20456327978886,48.697345525875164,52.28742735836753,48.82781949207052,54.658697618072495,56.334681043202124,52.84325554389794,54.696277714421505,59.03481573628621,57.233379733255205,55.07613041540051,58.46966510029984,58.600362828696234,58.310082481431444,54.80163294569675,53.019073243906526,50.13690906457941,49.744692328816264,46.455168600284686,47.124635555770126,45.18017766688832,47.144061205831974,50.16678066029106,51.14573871725597,52.72593492209895,58.59053604689825,56.18852948442262,60.453330732465346,58.40492429552669,57.644247123881996,56.750013318682065,54.11295458838871,54.20818387215513,51.45144203492594,47.772674676293235,49.47889503011216,51.007891473612254,54.424898431780996,53.23627987536829,58.57505893958703,56.22384823379109,59.47053280428914,57.392272797255956,56.84500220290943,52.66158178154197,54.041574321455435,50.12640181888235,53.1973415958154,51.63255647045366,54.79359539838142,53.64833314606085,53.04262117459811,52.161712140795196,50.25892514648595,49.908108000959544,46.23514477670088,47.847911445986384,44.461086436102114,42.29966393445694,44.881290672991746,41.24456390273101,40.18913779700734,39.1511285886809,36.51139679405164,37.66851538779278,34.543609761168675,36.889995087385074,33.57638321195799,38.017864629264935,40.33511322059088,37.596783869104335,37.15081556686288,32.487318651687445,33.02653426115827,34.12937937486767,32.817577227485465,36.2195226193295,35.98971928181413,37.62466415753309,40.95714665666124,37.318088970932905,41.1829649915684,39.36937680115661,43.212768284827426,37.3966128846397,35.605615959960545,31.391495088255027,30.493206963218178,28.76319767739207,31.839874817181503,29.0412441452401,32.343404296223575,35.430152728099486,35.227615240056444,38.7556196185809,40.85669955322928,38.505468173579764,41.142773323229996,42.018748617577366,42.287468584600305,44.8862322756912,46.771131223323025,51.227139084554004,52.877876023880816,53.153536975635454,52.137571794505256,48.87321950482169,48.469233523319545,47.438557452241376,45.3301089350473,41.44269995872248,43.28417777368694,37.780776172828695,41.5426508130997,38.719777074384496,33.08822436536875,34.71645387951612,32.15037823465528,30.551058704253354,29.326806979517485,32.393075898104854,33.48322880638321,38.60464228200682,42.14115946707991,45.174306125551865,48.50305972754732,48.554330769066276,53.26561566439315,49.75250466082691,50.607895318363944,46.23642003023727,45.13488941251102,45.5282332415961,45.13987079600029,42.30831827366669,44.86452550576978,44.81347946351344,46.73726130339523,41.31173317995682,42.18842705204511,39.936740645798096,40.1406220217916,38.402055948564346,37.54240970874167,38.74030927417561,38.82936218829621,36.299079118455566,39.261583172107194,38.0282710424141,40.5416030312545,42.837470835515525,44.58132830080994,40.98446474202456,39.453768397819076,43.634454285996746,42.333376848489,36.654389693108584,40.414085823645635,45.35244085332322,40.53917608437666,39.42684328779162,43.19089090779091,43.44481826020747,39.15867282557334,40.515874058742526,37.975805094513746,43.647676992989574,38.09940465322124,40.58681763824221,44.64388835276424,46.90027414126471,50.66460706055413,51.201868328704094,53.29667069623149,51.72534446726209,54.15448331471969,52.65798833749457,54.19387026570076,52.149284294247906,47.05496488752393,49.186237420697644,49.48637696045951,45.19007695841544,43.925223833021704,45.73525443309606,43.13972782211251,39.80641572330313,39.628791084671214,39.727250464338816,44.12395551744488,47.27906508644645,48.83779409645584,52.16358637325914,56.11140727952395,54.510919867075884,49.83450990828997,52.80499335935303,55.1023381437717,50.671766143958415,48.87612951232823,52.586858081921434,51.87998804473396,48.02114294896572,51.48777217108951,53.39649816965053,49.936370388097764,49.06301672259967,52.21521446659791,49.62900056190698,51.860533076459106,50.56206150075751,52.125026665182865,50.639450211941146,45.61666805345251,47.26987568570602,47.07832851182404,44.243148007713806,41.83916159432087,45.40593705892394,43.02543095294914,38.49677945292812,39.41810657715382,41.9971195466418,39.116212216194825,35.795789578310426,33.03974818380867,32.58044488982658,29.609841878932468,33.92359434369914,31.26044416582981,34.28861624098701,34.11255368222899,29.666222636558295,29.475617484448822,28.409493401488284,29.447424944837024,34.044489398241296,33.666243431483664,36.46673657663235,35.185889969730944,37.78570889663764,42.79973731486287,45.50912794027717,46.958927005460765,41.939119676058745,42.959720546246174,46.70162619357601,43.66984792762852,40.568449066530334,44.3527780087038,47.09589137927689,48.558384222306756,49.55705350131962,50.697879237390964],[40.77858891405758,38.077275282884685,36.331931520635095,32.165491476485485,32.413555269037,37.368696332126916,37.33074981712365,41.701857627789074,41.88788585561811,40.40788779172545,43.579216491934424,47.08381091653979,43.38026268515625,41.441620065967946,46.05220813335842,46.56276950193303,42.24270918282713,44.50750228046044,42.67215284396623,44.663397354299235,45.52237840158335,48.21370204096196,45.909960474809886,42.73557928471331,41.43815913163542,40.186143760095455,39.84799428165418,39.441637885735126,43.41841832441231,45.92089770602634,50.35007727997756,51.003402435684826,55.37253603882424,56.945683617039506,53.39678659705637,49.68427315410232,49.36237637627167,45.76834516329193,43.03879685028071,46.16114799830926,42.2835157712751,44.48581471737056,47.111783693645414,43.820600217386115,43.59884183877752,39.97106831810976,42.46226949877126,44.48094286477752,39.56827706936228,40.01181583826614,45.11389621520907,45.505060742068906,49.23738247769987,46.0799954161365,51.895828829974306,53.542347488738635,50.33953925320612,52.40976790565324,56.61032836296609,54.79456640254282,53.03849271137466,56.71945388040289,57.096418007164246,56.9066539199395,53.20630089123326,51.48383102076397,49.11323180103486,48.90372337210466,46.00149059925359,46.964698206353766,45.21257987162397,47.44775649167361,50.15182131692752,50.77128013839632,52.17773085411292,57.83154671450578,55.04126911937545,59.30460530387379,56.955696382103234,55.836905018625856,54.85632926403874,51.864822383548905,51.95979040934495,48.87696141269944,45.36369422247991,47.4609993091543,49.1504511541161,52.759312863774305,51.833025132900545,57.39597987096791,55.35270586426976,58.835387295305615,56.95892204463075,56.4749147848746,52.404116818384374,54.11802899880705,50.300177889977164,52.9277899633338,51.34823720070877,54.46735174484482,52.84896528907966,52.022706757737105,50.80311419875316,48.73036567675006,47.79414243987182,44.35667718175491,45.71462929995206,42.16697057285899,40.406202061734774,43.20227085643995,39.971987851611985,38.80978715395355,38.33798507694159,35.475941916998565,37.033657311048955,33.78908086183737,36.08767517523054,32.67631366476208,37.285638242422884,39.79647242964043,37.37741091664424,37.033394474771505,32.3147107737254,32.75952055166482,33.90706745653075,31.88609756680348,35.399677712709135,34.57496139558,35.86375223095708,38.769213824861524,34.899630795925624,38.45479286685651,36.37393758913625,40.463297869724904,34.727856757760094,33.45004390957148,29.224664634447763,28.604584210674872,27.240501448569553,30.134943027495147,27.411351737792064,30.405765407743328,33.847549350013864,33.6386195974415,36.903095977355086,39.37123145941131,37.15466709026963,39.993421933917226,40.79200629193845,41.541308302847995,44.02696547024264,46.40755401510563,50.67593022589451,52.836496339189765,53.04580371778537,51.63232690071223,48.285155089130264,47.50730907639183,46.39697041891484,43.84703325686249,39.62924185561711,41.53649022760032,35.821794404161544,39.293419391614265,36.00241835951549,30.289417171723475,31.53904186303556,28.567340269026264,27.143314592962966,26.437928437852584,29.578500818197462,31.08221034749561,36.05921946216913,39.74544451655093,42.99575800641103,46.461336077318904,46.91966856906215,51.29096061208051,47.51026283490686,48.19514739865379,43.54200391940481,42.77336081461537,42.593051641587074,41.88167463670716,39.19779512268442,41.720973536015826,41.965532890532074,43.5333911607339,38.05232822249406,38.60525059085266,36.117756486494315,36.63659712040927,34.73517970060338,34.049549747834355,35.27555581783076,35.39189771053078,33.33332984000351,36.432093203412066,35.620703170171545,38.43505594768473,40.80974212673421,42.890907690465376,39.45022587859768,37.912663381846926,42.22606448307486,41.33420324498524,35.77665591252996,39.4665250872165,44.59792445605552,40.236873789622884,39.18832293812559,43.00540784510306,43.54239946283987,39.525087636589596,40.825290975324364,37.98665731703246,43.57698558327369,37.56277799233062,39.78810245735818,43.90535484054249,45.69149706101422,49.67569449439605,49.77098838547347,51.70063467001019,49.850536989175595,52.04270228334886,50.48173317187066,51.6668968958221,49.76014869580639,44.81892128910194,46.62219652805253,46.657637376253575,42.56667041112909,41.240518339611555,42.66430221258586,40.075591930517454,37.02749932860871,36.550841201940564,37.2408828259814,41.53504755690454,44.692529469431385,46.675618439535974,49.99442001953013,54.151809833786025,52.60817037155224,47.953998405294534,51.2256600947341,53.67176053219815,49.33126675048034,47.6669511346485,51.653763744551796,51.18610573005399,47.38741352982645,50.75551352356018,52.94842644883553,49.8126613276298,48.75993918910321,51.76160300165109,48.94662955318514,50.818525042763376,49.234694239825785,50.53097222734563,49.416769256424104,44.456590943368035,45.58684787586239,45.47965522527203,42.90574348499569,40.11539010911371,43.362412628018646,41.32124418363936,36.89563106886171,37.2301275678339,39.75393225578732,37.249613386470315,34.046538711836796,31.739984856791235,31.196432146914677,28.780564411678174,33.433356454013,30.993905148628766,33.722315940905716,33.97806267487195,29.66750918747599,28.87672509881853,27.39280724744875,27.967383672371852,32.46735185053169,32.306986094681584,34.658355513129685,33.819111103155485,36.919026014908965,41.680977845883625,44.50809670383778,46.133455622843584,41.28892598902599,42.54570238247139,46.44477736049587,43.484168375117605,40.71644568774654,44.53677346687397,47.46861573387737,49.01214435834982,50.11325731843649,51.15140409449703],[35.28429751694857,32.501312625206694,30.635126690030212,26.432586185532664,26.62666236091055,31.60235222372574,31.64098990228976,36.03009868797156,36.34609660601319,35.08410115668075,38.36544960902632,41.745481510537005,38.212478838889616,36.43991723001837,41.176990612808346,41.660443078286335,37.51196573147304,40.13419006917563,38.81050143853849,40.75934329054065,42.06461623528991,44.93429545521231,42.93259608431004,40.0402456356977,38.28599557094317,36.75182197940596,35.99753030458249,35.16517939381991,38.927711327579836,41.1206825873628,45.74344859925681,46.07093461964948,50.471231844971534,52.31342865176095,48.76212308886044,45.2365863083455,44.65715053678554,41.50123258039148,38.909264380744304,42.364030254671334,38.666615773417846,40.907996300493714,43.81693846989802,40.79323846722382,41.07223600605229,37.69218827134523,40.458538977583686,41.92163593407972,36.75419593320437,37.57978437631615,42.48107072231467,42.59136557725732,46.30394609255722,42.769755979561324,48.46175181260126,50.537324948390406,47.30548813959621,48.90487120163725,53.29406827971683,51.912371642582485,49.86686242513007,53.33655038676732,53.4093179383947,53.62581698077894,49.999435347465024,47.87086153836017,45.5719866085049,44.95469099271684,42.20688852003961,42.823356955137335,41.28016324653217,43.74515706216023,46.23398171512635,47.14354134245391,48.148398034853834,53.97141840222942,51.13081208221184,55.23551897210178,52.88001273693983,51.92385876150783,50.63969489908053,47.79437962695945,47.55915703005612,44.69112188057322,41.208961722529985,43.07265759359127,45.013728659993724,48.29290288589381,47.64066804582142,53.01393706272384,51.046741849359734,54.645903165681396,52.56168384059205,51.82554099575247,47.62703147895243,49.336727162848554,45.418264598363585,47.86242892415739,46.10055398333789,49.016658326098295,47.60790647080463,46.589629199776915,45.62744524992904,43.40003919869929,42.73254541574754,39.07613265629814,40.49328458348528,37.01671638436379,35.01424350210845,37.73438763188833,34.35532388016455,33.34624026093735,32.789802520970206,30.13062722149445,31.898000628367264,28.86015957700408,31.506713700062974,28.449452983451273,33.50149561870823,35.53092796246828,33.04900396576133,32.34153417345637,27.57573978799527,27.650800335257895,28.490035871077602,26.438350273217303,29.713004762650407,29.05922447840504,30.42649389218843,33.603288098314636,29.814447168984685,33.6085366180398,31.802415075788453,35.72421022163122,29.955514146588552,28.38885167284056,24.01116011598978,23.492472695220933,22.24779862376213,25.46082671949991,23.384406584214194,26.96151525615127,30.017008723567223,29.36488186610555,32.73911996073815,34.834568721540194,32.39877969320685,34.94136105740671,35.529938348793415,36.08566137658905,38.4366110401418,40.77641827102248,45.00657094144201,47.126502076036,47.450655863124936,46.08886649766656,42.84351029914589,42.02830344634467,41.13600335131209,38.54624126989947,34.59164384119993,36.80443741401629,31.257799386358794,34.99526173479448,31.92406129400875,26.38168275143814,27.593533379785814,25.153064170796707,23.199872599798418,22.094537880252766,25.068416284483188,26.43899801452004,31.551927114889384,35.13232565682745,38.31105285082754,41.59079935011225,41.9985010549632,46.496842398854895,42.95804454762437,43.586433802229294,39.18718587095961,37.911516570712344,38.15844554151947,37.793960142347736,35.069163702482335,37.96991874562164,38.26385028083099,40.232968347800934,35.12078577082354,35.59811589743048,33.2491845757763,33.15842625287405,31.170712585978425,30.108191520357163,31.207184377537477,31.269074932712357,28.701937596077105,31.722929807206192,30.659272282108113,33.2023553306642,35.672239843617305,37.50130514345974,33.95329554729644,32.58570825904041,36.899365238889075,35.77398519491291,30.27835802787792,34.14921114427289,39.14126963846311,34.66989254768224,33.79506864923325,37.6760074786265,38.02650880561264,34.09876844379566,35.66490161809242,32.863991063176,38.573434540512224,32.90921602713485,34.87353462983066,39.041418192782366,41.107642283936144,45.220914328697376,45.38090555215331,47.04058480938389,45.163572594920055,47.3646808905528,45.61495864363142,47.13109590140557,45.348917905323205,40.10768597033831,42.005861328733566,42.49064501340257,38.3024867819867,36.76980669748196,38.47614990646471,36.24218363941503,32.90353026706385,32.269668222728164,32.50928925333417,36.67220127767238,39.894216004954934,41.64087178335778,44.876127629095805,48.96441099385366,47.28734764626558,42.64689473934888,45.88594546853927,48.18952195775517,43.77263963514133,42.16526427183411,46.09222120611972,45.53402103269156,41.7793089579183,45.28497409152468,47.399654299441984,44.21032083850998,43.329233842326886,46.42994317874902,43.69298248204137,45.60134306360631,43.96995083292493,45.50472914912486,44.43563484675482,39.29496264138968,40.60222018024177,40.74326967984491,38.07789699166436,35.23738457234394,38.91143603324699,37.024831970268025,32.293723536152065,32.787199847346685,35.778245398855454,33.34668851860274,29.866855147430847,27.141113696290603,27.30237399927576,24.581678601154113,29.075466629631848,26.12594728640299,28.559869051475008,28.51771744947463,24.375320191878508,23.58331289593735,22.441542357953985,22.865035265741966,27.3255147061045,26.78639777587552,29.263599430196788,28.197421328747232,31.207031174187385,36.006686473966674,38.83796807128979,40.39821927810792,35.520793593801535,36.80517667308924,40.67191313924346,37.69151347127201,34.95283267520859,38.822603549657494,41.74673110847729,43.31188152294848,44.4649701217056,45.529560372139656],[35.514241922043595,33.02754374501676,31.815249464275,27.722259912137243,28.900406607892897,33.503645916672575,34.03443530909428,38.562931659618954,38.63380533591365,37.72593505957956,40.92762097983552,44.3836994345174,41.31559894265512,39.241784845323025,44.15577449641759,44.93012174953863,40.97652317765193,43.76288973152013,42.57746974641273,44.83961918242564,46.229504794517744,49.31809604033395,47.32290998870063,44.43522542141168,42.75361810829909,40.94477349191934,40.28260686657358,39.17598163366275,42.793334376399805,44.840937877634715,49.20931014670663,49.60549875884579,53.91711990406019,55.979020633270956,52.596455512368046,49.16378481975917,48.63727875461934,45.76110140975021,43.340761405609264,47.08507707250286,43.373967750221894,45.37498952720875,48.456013981729264,45.51244959929646,45.761330976196994,42.41798147936921,45.28144179709988,46.78108621777284,41.629404067837605,42.60513428344821,47.5032509309194,47.63806886653123,51.310107975641095,47.66415817960416,53.341476936792766,55.45501594255751,52.11063955322125,53.592426812190844,58.05126865584975,56.68429437369882,54.4440356411337,57.75059876641808,57.664071053787154,57.83262472256085,54.32603817123194,52.15308324335871,49.526722814006945,48.7557622800854,45.731877792548694,46.076748069333775,44.39671998008814,46.644216524845945,49.39348580647515,50.61609483659766,51.7237598830021,57.71796876965484,55.14224638420801,59.22502909640215,57.057399355746654,56.3275750132079,55.032241804698096,52.38028873658559,52.043584820492015,49.354408239768475,45.847167570699355,47.489570071597925,49.41636824758326,52.509479349485424,51.777418715202344,56.96595807312828,54.81266219753885,58.260828386231516,55.986164017226855,55.136635632465776,50.80967948156968,52.23518630640278,48.19102685627478,50.93239495941996,49.07746707548104,51.85840445997097,50.96345482723431,49.90563807729324,49.34939871414921,47.038424563962124,46.75475789679957,42.823654738637636,44.20260083527244,40.74148087419679,38.35644900180551,41.07802940254679,37.430654553154795,36.818927827645965,35.907232157255955,33.614208034157556,35.2452060169324,32.40378564384399,35.18895559433835,32.27704979697034,37.23959506452745,39.071276156803854,36.322476561965146,35.44350833276877,30.715100527568946,30.724542649237048,31.314960934704075,29.78585251199778,32.59170609482443,32.478734054637286,33.9167433631737,37.49017823803683,33.60949513203879,37.50752780587908,36.08128752349221,39.97695120222768,34.269644181582635,32.51390815203559,27.922113164690227,27.59790837439932,26.30184341049582,29.71551147409697,27.735652533208132,31.50380019806257,34.335470619722116,33.63609204855765,37.16426274193406,38.96743368458241,36.39191364284821,38.67150404512734,39.160071672147495,39.25668691782509,41.48719385849767,43.4379071050845,47.71560538775003,49.3407778109643,49.94347494467801,48.96666455949117,45.90036066211773,45.276637867962144,44.64348398575018,42.233328711562756,38.64319742281745,40.996510930189544,35.63480226090515,39.556701511591335,36.6958085748257,31.248678967149804,32.46013333486262,30.161210362470896,27.98834618728426,26.82382130382288,29.663403929123593,30.94624135836693,36.11724598457227,39.59776316622494,42.67513340209945,45.78997062052225,46.02549900624655,50.70829929301381,47.3894326045802,48.01788661371598,43.81125291708136,42.164645551303984,42.68756176871125,42.48569562963914,39.805186179496815,42.874162844603646,43.14231584085903,45.242886716315844,40.183209224689705,40.685217593221424,38.335123290030424,38.138184256342036,36.03283485665371,34.76990817070201,35.65730302125149,35.413720101837825,32.605445907426386,35.30474340472979,33.757352880632055,36.31790672324362,38.352165732882526,40.136872569441394,36.61272670183566,34.82836710301788,38.93463110701236,37.7214723483795,31.949964646783155,35.581104718654295,40.57404910602625,35.84424224112857,34.60472061751809,38.335843065678425,38.75310379024168,34.47670979178809,35.68342637065974,33.07630975945486,38.70841590408665,33.105697767563,35.61160108434676,39.656607420664734,41.93733357645425,45.69221408064221,46.272515907811915,48.40092412979375,46.91523524427653,49.43437980081073,48.04910175557017,49.66786371831229,47.51404764990737,42.42607615522571,44.73628889583055,45.08213738770997,40.683480368297225,39.52675520924004,41.56856283221736,38.884216086272794,35.406896986278205,35.565604515894286,35.32303918550212,39.95472320954888,43.00096745762776,44.34964942913597,47.779709226106114,51.602825273300496,50.17274213468721,45.43540473216747,48.19472830226457,50.596762577335376,46.25974433992949,44.26560263518728,47.946811073593274,47.31387821952279,43.37689137515779,46.7126899356003,48.66928524521334,45.28473188313396,44.249443666398726,47.34054262931551,44.72564990249736,46.979972823774744,45.776651094320876,47.308432155213985,45.715338829838345,40.74202066332351,42.47689526725578,42.19835062559323,39.32056750549562,37.03961922928628,40.64104584299814,38.16598631717436,33.62432821248879,34.73237211831324,37.320047189167546,34.34707794304956,30.97511226633812,28.12071925147783,27.737576565835834,24.66936593494152,28.950057011032133,26.2947546222856,29.370053281305122,29.357504548837582,24.85188537335689,24.635137011109247,23.50861310634904,24.71016870337724,29.328522142381292,29.204711844347447,32.187425952243515,31.133551033929063,33.456956168653434,38.579068959881475,41.12884162190599,42.820759224601574,37.80646665931713,38.54864393400859,42.403150585915625,39.69249696015514,36.36929930122086,39.974498294422546,42.88181588401232,44.37631137237158,45.39579311088514,46.48570866217793],[37.9363461678138,35.259750444438716,33.685930021336496,30.11717331434823,30.779955947744387,35.92591808439812,36.50890144115198,40.95107089356351,41.470609688081424,40.62814821510743,43.97617588286996,47.253928102678756,43.99614012616404,42.28914747678667,47.13855316191055,47.65234087743563,43.6227362316713,46.384296360729444,45.15859072395957,47.06632976544629,48.38464518755545,51.17812153048379,49.150971407266795,46.21133097354618,44.491816636625344,43.06889075040392,42.25867514997279,41.41330339206723,45.11298365220315,47.151279683760585,51.89505973682613,52.019290520360265,56.44226940114406,58.429017062810146,54.846924785787635,51.407688407741915,50.6422532422933,47.6231149847136,44.98374947884759,48.233467078077794,44.64917538804302,47.104878843269944,49.90549206664853,46.81679422072281,47.042842283046554,43.559802379985285,46.128598549546766,47.72877601878963,42.57806216846511,43.06114536728284,48.00847287780067,48.01673531093388,51.848775030984996,48.51893559780564,54.16184213507218,56.269186804155545,53.22225433008667,54.90288590686427,59.23103116922109,57.85345920297328,55.99358574681747,59.55404747074208,59.6734208211197,59.923358591061294,56.258466699069665,54.14032176465477,51.92299098126673,51.287288768200945,48.546503613789355,49.08403065550072,47.53509732565752,49.94990756747377,52.501571509877614,53.48324103794761,54.466490035224524,60.31060585741618,57.4364428363293,61.506420677702735,59.089503267210674,58.05839537786722,56.64226259528179,53.66259282810467,53.24337313997006,50.24749053763655,46.94548336896986,48.94651940958975,51.07932104488158,54.28936332292842,53.83956572202701,59.188136043695266,57.29337616854955,60.928723673736876,58.78104167561167,57.939665763704454,53.66987578941764,55.31551861132117,51.31353848800554,53.70435028074028,51.76738391596623,54.392929783996706,53.25263051310247,51.86499228535493,51.161324592953676,48.545286225012994,47.74870626981954,43.9174847143104,44.89683380357041,41.20511703875267,39.07603326889395,42.118530470964224,38.83788166396254,38.39539033380903,38.00312255612273,35.68019190184301,37.750012824192915,34.88820510215424,37.70304018377005,34.75806109494005,39.85750754540649,41.81252872703248,39.282949381262036,38.43206010643588,33.66636100781489,33.52363612221662,34.006572017375035,31.894138039041287,34.498502351648966,33.95678663958215,34.94900008142639,38.241116643595326,33.92782982968138,37.4743882805836,35.99107363012458,40.236574566883185,34.680088701342946,33.49903498150246,28.68815654037251,28.932697279928096,28.110756104037847,31.440902705961097,29.639598246243963,33.15882486333374,36.28629458220934,35.54245199057342,38.840238322976795,40.91433419139521,38.41219572319146,40.76884288545665,41.076453259661974,41.48346239127436,43.46357930833406,45.796494630846254,49.84607039868346,51.784756986244936,52.50978028119062,51.290989168849876,48.250621281181395,47.26375308182056,46.72151408254609,43.83947236691297,40.07432080320298,42.63670578630198,37.12251738186197,40.802280093858755,37.46210716514199,31.973155317428,32.64253309123945,29.912159983595547,27.739929072188858,27.253915958927596,30.09227504474703,31.901206816399004,36.93743463215105,40.55354667704864,43.85834408608278,47.03340398972241,47.69639205466979,52.06221315654543,48.54776634297771,48.93769080551218,44.49128282849851,42.992196843584104,42.93546947331979,42.418690968063274,39.982925478724226,43.171796118003584,43.83567421948057,45.56560883759647,40.48586723608664,40.549911585808516,37.86933128727368,37.99102182484592,35.53062029725159,34.31238146924791,35.04248011514334,34.550815012400435,32.20001102090553,34.82500932350174,33.475071256510596,36.51609302133122,38.285854880490064,40.546583278156575,37.279113564222286,35.11842712202539,39.241374460379504,38.57908526815065,32.770802002577376,36.066693621336796,41.342615399936,37.09646534252871,35.64151287186753,39.29498887456332,40.20144672787921,36.06273822762681,36.847289672179784,33.9753883738928,39.36094554352241,33.11160552780244,35.694813001652264,39.70164590988548,41.432978680148175,45.18149964670991,45.47099227718399,47.78754499302165,46.237588813543155,48.69054736157902,47.5441378404892,48.72334850100373,46.42947619160898,41.71483834637267,43.907742722121945,43.720125406548085,39.4283815979369,38.52548275781782,40.297514782273645,37.192299711585726,34.01014307316139,34.45017388343434,34.667138329070234,39.581960908363534,42.480255848769936,44.11331355719676,47.713468989544324,51.616802685244075,50.49160462895894,45.69799764390382,48.483181208856465,51.19657490457267,47.06498507990613,44.928795415443474,48.803084153700844,48.46275869673273,44.46603753195568,47.493698132351355,49.732018057983524,46.67121661375748,45.23331491606282,48.074786627734035,45.22956779933614,47.2428713105214,45.995106389782975,47.11375888199727,45.60936139152725,40.89712982600717,42.21140620223861,41.6730923721944,39.010098920312274,36.64416110556449,39.67578098927893,37.176975403233016,32.98574217128134,33.73694224886424,35.857219293806885,32.96034920942874,29.887493669901087,27.655233550191653,26.60550021843483,24.158506457079557,28.754834991639317,26.784054147909593,29.931465612254794,30.62823227808296,26.07456964391161,25.403320509456652,23.618178522120605,24.75706327606856,29.351784482013528,29.93315746277639,32.66349588831618,32.285475503545534,34.78460287479659,39.792565595811105,42.274327065341296,44.33278778314734,39.47201775389928,40.107656278297256,44.16765116281209,41.7912272820316,38.492068261694165,41.90788277002507,45.056928134898065,46.59928981971782,47.645593832034926,48.603365047955215],[36.12721115313145,33.25684010851192,31.294165114622775,27.841120608494695,27.98930668959294,33.416484093553436,33.882370963883666,38.23560938588271,39.026432057197475,38.18176700161112,41.626253043854504,44.75731590600893,41.372619814787285,39.95669778653988,44.7499058714186,45.073778101922514,41.05111760960528,43.878046028161656,42.80975775822049,44.475137449226494,45.915436221067246,48.602545872118505,46.696103078034504,43.86997174824017,41.94219373774275,40.62676471169784,39.57774666760367,38.737456590899164,42.395826711442226,44.34036997314564,49.33722296931911,49.22375127509112,53.7045727815194,55.694524401064754,52.008748419842156,48.62779314761874,47.67090773313179,44.7085359727417,42.0159501979348,45.131722511886984,41.6855277078648,44.36384921185338,47.11977189795454,44.08525694228762,44.5156050005491,41.097911294705355,43.640911618817285,45.025888512364105,39.79670365245963,40.227570197869056,45.08434107568757,44.931193748948544,48.801934955266006,45.46585847009497,51.02929158850702,53.28917846721921,50.368838558211394,51.95030004259966,56.27632376439855,55.072124949359115,53.28067749774269,56.87218773531598,56.983379459844045,57.43685019887933,53.72909230036226,51.487841051305125,49.54381503024605,48.839373429511845,46.35370029928512,46.896775619668986,45.525796892295645,48.14052827275818,50.44747390651101,51.36374067478358,52.10932416565107,57.89426815294229,54.83259536704427,58.826656730168544,56.278026484913404,55.149965076744586,53.584006757080225,50.510958352472315,49.96830823837306,46.91805899772535,43.716107168095895,45.79684580056541,48.090200038545525,51.250465549245476,51.02580122578239,56.3859858702786,54.66969204478875,58.44465466043064,56.324247245867284,55.42602246272334,51.183173959761945,52.98274267086336,49.01255635093567,51.11354792225279,49.118310335134055,51.65330017162621,50.35071748761443,48.805979121515655,48.02530829478559,45.29166559306005,44.31961373170494,40.536727492976304,41.427702485486094,37.69876011437841,35.6864033082698,38.788733935531994,35.66380507777599,35.20925914791002,35.06922225407672,32.72135475634067,35.04978696745841,32.23356435905961,35.12948986074667,32.30595553061049,37.603137117423245,39.44896302023908,37.06948504189125,36.141558911391144,31.382161764951114,31.057439466369225,31.446674320060147,28.98367899114333,31.54291366623697,30.7594083877717,31.605479718901762,34.77296481466233,30.39762754011375,33.886494218413105,32.37427420401666,36.65824029998121,31.14008344238913,30.104073023856735,25.251817617281194,25.693352969845353,25.128962965711963,28.456063337466556,26.986975507471854,30.546772113631842,33.64951874454452,32.732393688287296,35.91744770556311,38.003147418110856,35.500049049076736,37.82471994223146,38.01732352794513,38.5914560386959,40.46805454651987,43.024323948531766,46.96044947823601,49.14367318393501,49.849826986218424,48.44978206671258,45.40808749574859,44.23414771677936,43.723609351185445,40.63131454114496,36.81909390851233,39.513969002467846,34.00133974504938,37.622610073926424,34.17003467502073,28.757169369013987,29.210252295478455,26.52665534718286,24.212537734569278,23.83675368719719,26.613943888935115,28.568665718628043,33.55444857062523,37.180851058803434,40.54460385205715,43.702016741814056,44.531954824825426,48.77129668182004,45.23572881550324,45.52732108468322,41.06407136031298,39.532874880135566,39.37700355838914,38.851990619483765,36.47162447123153,39.785175343404504,40.60048430915845,42.32670947396258,37.40104185804551,37.284705122726784,34.56857071798696,34.573386455316864,32.00926816349359,30.717429154525327,31.410908585226572,30.922988928933528,28.589524761525436,31.268250818494433,30.04650713498994,33.11536534309405,35.00553067150854,37.31620932422468,34.073484845932796,32.02437468993026,36.23357706930673,35.66356199118283,29.972774787857414,33.34248574895283,38.641974493307316,34.58082598363205,33.278159131711604,37.00016116002111,37.932867211119174,34.00150648138794,34.92937525929745,31.922797308560337,37.336800835477824,31.035801238076957,33.30929972522408,37.3875411351988,39.01564323600871,42.97836673533921,43.04554834481,45.100242993783084,43.358358243606126,45.67189106120857,44.35977936678978,45.52377900527901,43.393679903952936,38.57865091089414,40.61997292948688,40.53593821165634,36.30630770110097,35.23180650355864,36.92117747822857,34.02467662245441,30.843185506978497,30.987885506849526,31.33105963788366,36.102871618183,39.05326139216426,40.82048366570072,44.359756502578314,48.359658007742404,47.16732555897014,42.40096370578826,45.363708869862414,48.0649109849351,43.929579088360796,41.924427360832034,45.92104393416262,45.65116458541459,41.72701044349813,44.795539053255744,47.13811912243316,44.216435140556044,42.8041709435638,45.6288344798367,42.705631489308274,44.53488163896171,43.08357859511625,44.19585203679294,42.94402348834979,38.14918238797939,39.2572894005737,38.9252217076946,36.360397853701855,33.71838471586318,36.8179598061507,34.61878490900919,30.292992287147854,30.76755270627172,33.14359138954005,30.51872549250986,27.339410355586633,25.132271825192205,24.44692865573839,22.158890165520642,26.87893123684994,24.730180499529162,27.52470354744087,28.28554260751709,23.92049591189183,22.89758626315597,21.049913656911784,21.81376657040999,26.338269441010134,26.8298091945842,29.353208516429078,29.098166643052927,31.841352559409078,36.70606778636076,39.267270582988,41.35465957298837,36.585770369253616,37.39424725521666,41.49906463994053,39.11864696931249,36.053434776812445,39.527416093067295,42.74309843042951,44.33191128379836,45.45673926518544,46.38158995072794],[31.85975830565668,29.159175310195643,27.64883873876913,24.242787381267473,25.208933265349195,30.287837287026797,31.21943187856307,35.68219438241011,36.34946886798979,35.96229367109494,39.39831142230682,42.48411367526965,39.630004649528196,38.09274892580889,43.08916499675163,43.635240572282015,39.927675780207004,43.12717129803881,42.5491126279267,44.44673641088863,46.26779579826276,49.26695504052232,47.5921936085435,44.98992154138032,42.81956741736264,41.05976598814027,39.81281378220603,38.432036745949965,41.781584463380895,43.371261846426215,48.248268400411455,47.97263098245257,52.37564831363192,54.73244672825564,51.21328589039798,48.05945448066652,46.987981791436326,44.59886691892702,42.187477202800316,45.8152288065943,42.49132437484968,44.92577106175753,48.033539552419825,45.288229906957206,46.04028902184005,42.86417607288436,45.698345856645666,46.70803434617071,41.35525239075502,42.247114421022395,46.920215930474676,46.61853033757277,50.389032106995856,46.67105630489999,52.108174855104465,54.68531358372649,51.624532895923494,52.74740319755581,57.258570952273246,56.37586488427272,54.1853573583125,57.45317533995327,57.20037037969726,57.89429431697905,54.365007800724264,51.80694809613647,49.62831638776801,48.50490791363507,45.91114067646722,45.97716620927159,44.65653744115323,47.247003335729744,49.59060319159403,50.96674356158645,51.506858022753796,57.530907194386415,54.67985337196911,58.52722327900216,56.157935084407654,55.363990545425914,53.59596275290751,50.84085050071721,49.998025660095415,47.309360752612704,44.09897443459682,45.76927664551992,48.18975749385988,50.934801540803036,50.81221559697329,55.848673325639304,54.02418741411284,57.733384752063856,55.31344586900432,54.14651689932837,49.72520369157737,51.27755361663201,47.15284193143396,49.36061574124226,47.171378521910974,49.45008162441288,48.73641022044013,47.05754303012792,46.812608375141664,43.94791842531897,43.56324888175057,39.40124292808372,40.36202879267534,36.76249376231311,34.217181522071954,37.196665411895545,33.70193665951728,33.680541426895914,33.13212361010932,31.267072837268135,33.590404605702,31.123608889067317,34.35525804109011,31.94441404701195,37.41996937756487,38.735939014914386,36.11331635774585,34.7879184195585,30.083107921841762,29.429261515041272,29.37086951694666,27.375005884332577,29.337918569114034,29.19373526076781,30.209133741491797,33.93314159684562,29.65911467542604,33.44863346563941,32.48810290522376,36.51019414537764,31.051013121923553,29.556664043099616,24.508826739622187,25.110674647558366,24.554077742189165,28.234041756885226,27.319268291353193,31.40913418100893,33.98962397587021,32.73439097888547,36.11027711554658,37.64160956540442,34.8824453980463,36.74491646580583,36.71438201375873,36.73483213847899,38.42123437276612,40.58700181847278,44.53807530556533,46.26449978631649,47.2661678185325,46.234540535694975,43.4225958875426,42.413374489953846,42.26863810197987,39.36190242162318,36.094907305149384,39.079506534864585,33.91238369885289,37.870403040417685,34.85845536679872,29.727955959245673,30.253326737440965,28.20421177403937,25.393055476665463,24.54021013570148,27.023363205565364,28.68016509682289,33.76569846160041,37.17249286839997,40.33750458370097,43.19493504617753,43.786611342303566,48.283867795693965,45.148822154630686,45.4353530549361,41.38222327469833,39.16974840315104,39.6549926698496,39.579489882172496,37.18005826517262,40.83842507316463,41.586046437580265,43.75042388837948,39.16882392088386,39.113412629004294,36.60011562416713,36.027800796506696,33.42737134728633,31.714538234939937,32.16792696103689,31.453732383543997,28.46142947506283,30.788492544903228,28.926365652873557,31.68234618016936,33.318295793195006,35.301381506684066,31.963427733835314,29.762321052288144,33.788013985868126,32.8746298340694,27.005659918606916,30.37189953870882,35.52579112506758,31.095207058284213,29.654518234046904,33.3294747921077,34.1121327437584,29.946748069964677,30.849485612252217,28.04352188999671,33.5542763289078,27.660404905940045,30.15809001140953,34.19659070387464,36.326550000146646,40.11638874155602,40.62300418379239,42.79949023502001,41.36330765840561,43.948672008147554,42.73787278617059,44.326639173198124,42.03077238488608,37.041614808110786,39.51120510436729,39.78034135276347,35.30110052785914,34.325039977773834,36.56143696794911,33.69372053439547,30.123797329474623,30.746207853036484,30.218357637160477,35.188599836822824,38.055764970371165,39.24881461420717,42.83879446984465,46.54806600228549,45.399976531186475,40.58716187912458,43.12556234701743,45.7416061744438,41.58437804410396,39.33313076805077,43.05498094878756,42.61374855655018,38.583711206019345,41.66978385923025,43.788662267102445,40.62511523354537,39.27425979333156,42.21051202790549,39.474801017071385,41.650158039080424,40.511980739364354,41.88218486673245,40.22884305969356,35.37603992694587,37.050546602866135,36.62366719688897,33.77014583688661,31.568581619044124,35.061646029144356,32.51233059571494,28.02431241155729,29.2249853599549,31.7374702823018,28.714532408970022,25.334485665635583,22.528837327447505,22.123277651094895,19.127691903329428,23.499844109493452,21.032213519198578,24.129517048215497,24.586828162284373,20.034175032599315,19.55508197126949,18.105297879371097,19.46026205821343,24.08134862501205,24.512191856169938,27.6034855934772,27.08417946620123,29.13298739485653,34.29895163348091,36.63392426881154,38.73114809492572,33.8164269943071,34.20861972777913,38.256760840883175,36.05331780409932,32.53550003674058,35.84956875427576,39.030526814795714,40.576955256571196,41.63788475684282,42.61220731202677],[36.39532482110526,33.87262158667307,32.65865111869139,29.65246867423706,30.888585380381517,35.948408641379174,37.09865935777641,41.56129250151482,42.23281626583997,41.935919596397255,45.340366947661735,48.450998928758764,45.659296048126905,44.04062233926188,49.04903507334627,49.643124548942126,45.89588348595182,49.00411762101856,48.21998032132238,50.15308425751267,51.784176844963895,54.6980906196933,52.860051728628825,50.08487149433887,48.12796568361829,46.51999485427152,45.44530052115068,44.24593231294336,47.694164501100786,49.37094863440774,54.21159085629143,54.00495093191319,58.408637468072065,60.72559001594121,57.1925283341274,53.981289198231025,52.94788052096884,50.41005202017339,47.90226808479354,51.31203699178693,47.93022440358229,50.44984371211827,53.40529943671463,50.48889304973978,50.9907110859445,47.6297389512587,50.278408028712164,51.61106392322003,46.34064558773461,46.91414859607481,51.73246425615944,51.5103067908835,55.366526969500086,51.89458639705066,57.39377289654086,59.803871441433515,56.82510588428458,58.20430637170229,62.62393363735507,61.54290945699549,59.55255198237586,62.96740904266151,62.866585747566695,63.3899891519371,59.79791255173417,57.41626752298007,55.20866490726247,54.25442235810308,51.55584276379775,51.73710874734481,50.29414269046937,52.752781099649425,55.25892347168198,56.56004481678801,57.28994084955235,63.28249556462758,60.4440026000473,64.3631083567524,61.9698145375833,61.07402002434085,59.376574347926564,56.48630616013883,55.70359922858227,52.84842776337404,49.69284798211247,51.53970274444966,53.93876454931969,56.811165648155246,56.648580161109656,61.77279141998571,59.928633365251024,63.60367249964977,61.23003387163794,60.12185381226355,55.70763759656353,57.21610142296341,53.08282893549089,55.381360861510565,53.1906590576722,55.41998622286465,54.76725745608259,53.00128204155949,52.77622350744239,49.79621584739613,49.23167359999301,45.08731339922693,45.79803031008464,42.06664572470543,39.5855728275673,42.74647499759451,39.38614045877524,39.557429405894524,39.11266427433149,37.291035820109045,39.623949480163745,37.10588215049598,40.251702467078815,37.6763355120589,43.00566595830483,44.53541643117865,41.88731653361188,40.67330660808988,35.954017179586536,35.417748212801776,35.38723826843759,33.404046690771054,35.21405941067718,35.04184374918336,35.84828479238441,39.47761034529543,34.927336763568455,38.45388136532058,37.51957453584168,41.780234441488936,36.43696665881249,35.259029663643844,30.11294020616348,30.94707464669679,30.457034224748686,34.05246354243477,32.86580671625538,36.7158505821229,39.550550870136114,38.47039034892023,41.80297674728981,43.516829202386226,40.816807332111836,42.756825496100646,42.710716948777645,42.74604948815673,44.32621445952752,46.4811642054123,50.353268036754045,51.97048639623734,53.1310210827309,52.17233931490453,49.42180442525241,48.36214896514235,48.28403592709908,45.269662893797104,41.960682102975404,44.959691078130675,39.69181410460486,43.52618369209729,40.26958120313573,35.021171856180864,35.35022923096816,32.888684688248794,30.23440911617709,29.832607447328147,32.38095604326914,34.29748636093998,39.31816258575151,42.810090654589985,46.078015841164486,48.981414610978426,49.71181481786297,54.10316324299847,50.863167980648015,51.063443940965136,46.85835223868838,44.77538762439911,44.91035329484807,44.594170400771745,42.34812583996842,45.978605000596545,46.87907298367655,48.757409731018946,43.987896657824095,43.777375180401286,41.025767703463096,40.83821521281299,38.043359510850266,36.435714686223925,36.773032934438625,35.80527591282517,33.19843783596709,35.343182765297364,33.47341416653512,36.60315507253975,37.77785980253825,40.103502771859354,37.0113440244486,34.31169393158643,38.15691910011899,37.63335525590367,31.65498903066747,34.51755422644245,39.82086521691798,35.63350548043799,33.77562560507207,37.19950875077189,38.39598658695523,34.11395544510163,34.36521769692488,31.576030559629736,36.69926681615181,30.373740140295226,33.389647808587036,37.21520689956613,38.972421338265356,42.38089011900507,42.97171701543897,45.71575967308436,44.54008674262138,47.27316724156483,46.553349013677604,47.77173221646322,45.09860725361244,40.63912840316201,43.23355569194989,42.86853683899939,38.40910181344735,37.94436963543924,40.071870645910685,36.515815992099284,33.22560686022432,34.57558150561245,34.25859356851654,39.67224139770877,42.295016506200625,43.51212491665575,47.33138275982639,50.92755999751191,50.180750684843545,45.30617769003519,47.555649433921225,50.461287073324456,46.5395980725843,43.96425294841018,47.63302503657271,47.36041107347881,43.20345793186487,45.89722194978149,48.09395402538887,45.05199824207597,43.293876299034,45.98756020068133,43.18945799057591,45.40884445534562,44.56584858137654,45.552768755154055,43.59273444108098,39.16927819656344,40.760669626330994,39.771625036801446,36.994043541564515,35.179925974563986,38.00246539960767,34.98266428602546,31.094233503503702,32.38204268006517,34.03705140311465,30.68496246950198,27.800857373658392,25.61490125700175,23.99734178461491,21.441541226011154,25.79428528624193,24.36429659882664,27.991680579226518,29.0247925705719,24.288045974382577,23.926364790536454,21.979116505283763,23.789102975186655,28.36429080529554,29.594646793275245,32.69976159263652,32.639876240960014,34.44511261569294,39.646548220841794,41.76010594192319,44.13993590455479,39.287131468084915,39.29793788539712,43.41668477639434,41.57253014233842,37.759508075577926,40.74823816676417,44.01218631363132,45.50789287972495,46.45834479423067,47.35282511897712],[37.146709538223696,34.31529688237668,32.45943128870612,29.948418033753487,30.30032825000684,35.95052218039515,36.9844662264388,41.26703338523027,42.481502485459856,42.1834261476658,45.7470053885149,48.6048588537373,45.544829200167904,44.432120362165506,49.30812660232564,49.54617727208672,45.74815065772448,48.84575337722761,48.12926707032353,49.59671508427355,51.242837409326654,53.82819986616768,52.064698705348555,49.35034348558419,47.226978556888916,46.00874830889711,44.661344328008475,43.688832467400005,47.15535312306296,48.76318042146139,54.05621316844121,53.4772248340929,57.993316717813144,60.2209322661387,56.46389110269756,53.296800861526044,51.95010054939348,49.3379439521235,46.63480996238836,49.523269237824515,46.371528927996295,49.38719330423448,52.06709434363629,49.09848042421407,49.73093636892772,46.34064044554583,48.72061945478699,49.9561047212378,44.67708545466255,44.82304996988449,49.565043215956265,49.12144771028403,53.10175952841704,49.90288143618116,55.273973675288325,57.77648930978907,55.14693710181957,56.60281495997899,60.888741220304055,59.934383543222395,58.307780183981805,61.932029968371225,61.99496195896838,62.72627233055228,58.991470076963935,56.57867428640724,54.906672658251466,54.02408829148277,51.74681913278115,52.10121891894162,50.89200555741909,53.61920313049175,55.78309974637665,56.824680239025454,57.287280889507926,63.087879544337504,59.88000558037789,63.72142691444004,61.03884388013515,59.82943271605478,57.94113033088515,54.73389052738932,53.80883068609068,50.68204574377198,47.78850800929298,49.969853294183885,52.62691443345131,55.54928791520833,55.769530697403844,61.014506609034186,59.51676572069911,63.43050701049634,61.200285376827395,60.07677677936596,55.756648707942006,57.56185795097347,53.51301605062986,55.31050490358897,53.040628716568406,55.09909154355331,54.08728187581038,51.97203542637084,51.538380490227325,48.26370166669141,47.13652513689789,43.16166445907349,43.47748887895861,39.56079384571262,37.428573224004,40.86616315521579,37.97076910376415,38.23342541173448,38.4031435627941,36.52816866876998,39.349440294568595,36.852452680469376,40.02873088209978,37.52158534459879,43.04127391432205,44.595709065194754,42.24789439164337,41.03248708666102,36.32267226743538,35.578033096623024,35.43986094547404,32.77001175827472,34.41310279690396,33.69390506297298,34.020738549111776,37.259901927638886,32.37059730433323,35.50259179321566,34.5072528376462,39.03470316410159,33.91867987497342,33.338266160875904,28.088849928918563,29.495380733104255,29.55339647041217,33.01030583952103,32.19619831755736,35.82834897507134,38.835556508140506,37.61836582555987,40.653059225764736,42.578336012509254,39.97030868692689,41.947878108416695,41.69379847549295,42.125788487316186,43.442334660112955,46.07624008681909,49.665813834173406,51.751691644101705,52.94651997674013,51.63233047897867,48.89437770208991,47.4120981501277,47.39980003249463,43.878961564102575,40.406077304609475,43.62139040668864,38.28646497229453,41.837745266824896,38.162256838091245,33.02433725175492,32.75488482028847,30.042471663697583,27.329082848658526,27.569971680778934,30.003745350141283,32.408016145723884,37.20125633557796,40.76515904643813,44.22551280242605,47.147111707297526,48.33888188166192,52.34742208038814,48.94641562852969,48.884068074213864,44.50423044004655,42.551057280129605,42.129517691847575,41.54960699566552,39.573784728451365,43.35315169090371,44.67336955731272,46.23643490523529,41.62473468957373,40.92664766845072,37.91848770411525,37.895606705822935,34.76559273635646,33.156092987241216,33.316822487420104,32.14161205646604,29.984998461561087,32.070876307334046,30.508756771497527,34.04110604001761,35.09130753827073,37.85021086425667,35.02224387474598,32.1459872727375,36.05405203852834,36.08297878732529,30.253805814233175,32.88004808548291,38.399987675942526,34.820349772991385,32.965133384467386,36.368983157816935,37.96704528362506,34.03860271952122,34.11181180368986,30.994953670851036,35.90015461782153,29.01077039716425,31.75394812170943,35.5933376068528,36.74395419784062,40.35350926202299,40.451213654930655,43.090379102417266,41.66636562995794,44.190963500767374,43.52063147694951,44.32656651688154,41.696614646243304,37.49769128073185,39.826177518539026,39.07463962290148,34.79093252674617,34.4051975118869,36.19548339530601,32.45475687740009,29.461584726316406,30.816568331791885,31.027818977355114,36.514766609295606,39.03531633268227,40.62321757064209,44.50564945566137,48.24789787252766,47.68985477546977,42.82723896843133,45.26505024096086,48.39780503655447,44.65800952548118,42.11978282531425,46.04984210032944,46.08124714438375,41.977040762055594,44.452817683548325,46.97129253558912,44.34038232044667,42.30473673987493,44.76639401982971,41.71131907825793,43.52824704057759,42.443416938765765,43.064017149240016,41.44689192524451,37.18956216064511,38.197051631691664,37.18611225473105,34.715235587107635,32.562822580181574,34.91094935620865,32.176431029198014,28.508051836192273,29.184428612796733,30.6242378428533,27.623948005212082,24.94483117163727,23.41054844853457,21.50817470655164,19.769892079750008,24.497734598870835,23.526155235299694,26.80693262335071,28.472737870189608,23.961388148462095,22.885941436220854,20.337893011746576,21.70957357179197,26.11385652274005,27.852608227360097,30.507858137080028,31.105375586160463,33.265147454547204,38.18128334094418,40.30834846392045,42.97130508073814,38.36433825163251,38.481649443353604,42.766126276442975,41.156340747715255,37.63945644834226,40.53920101772576,44.01957824739348,45.595324759023335,46.64062295009601,47.404723727020375],[32.11768974808602,29.166175485829953,27.125467273484784,24.645922703664702,24.88791844025148,30.583709517163044,31.68845559233737,35.93642294062205,37.28639976521404,37.18265345371632,40.79902630487989,43.50907604480206,40.6115575389698,39.67761308527051,44.57899875395697,44.77899975390853,41.171475796379056,44.50793811922787,44.205749581228666,45.6139372134559,47.584719722745355,50.28342620768282,48.7724879088192,46.311015438047406,43.871977785384985,42.45041042325218,40.8003354740458,39.506372994455184,42.74173338824532,44.07595891625253,49.468304167993665,48.63497764271532,53.13729749059092,55.55357623799322,51.8277579808565,48.83860929340245,47.303880549593615,45.074341425346766,42.522094227238796,45.661785126328866,42.68386126828643,45.67182334698223,48.551105317819854,45.83481400037881,46.8429243679026,43.6946190107881,46.27867761581379,47.068843918359406,41.66085445781609,42.14388589006458,46.671725100518245,46.030187466493736,49.93940979506133,46.44374279338077,51.672271149731074,54.487439398428954,51.82644577766259,52.88840455373328,57.298314291360406,56.68474525960204,54.817189963129316,58.231895615404284,58.0497599143335,59.08299053447796,55.44479892319213,52.741550076488146,51.13449023488597,49.94762546559917,47.82421088425952,47.91148580130096,46.88828141000406,49.76265154037712,51.722482904309175,52.965340690609146,53.11264034826003,58.985402739023264,55.77248990077979,59.460519059565414,56.80271783945058,55.74299257438454,53.6414928250003,50.59610743194648,49.42361062431819,46.51711242142535,43.6622395178232,45.61341385827486,48.43545154421818,51.065924262131794,51.489017185329466,56.536519266899575,55.105893213026214,59.07455342285058,56.7059313123048,55.40031571264182,51.023366261956056,52.817853185577185,48.735910674532754,50.356191766457535,47.962956941144114,49.849836217719684,48.997983086030864,46.749665552852946,46.523089871956614,43.15134247281796,42.27469071666688,38.128906565687046,38.516358889671224,34.68186255752363,32.320416341236296,35.6810504402363,32.65884732866229,33.07383114097573,33.194485750594616,31.5421048281915,34.53553171289963,32.281181046998874,35.68264659531337,33.53513254879496,39.276753733409414,40.42144247945289,38.08381649081328,36.59891130731058,31.971537942361238,30.90359409730785,30.464050942161553,27.765237946931702,29.09466903490298,28.52260520752974,28.886110505157035,32.3649676699032,27.564637035219686,30.930830332395935,30.20097451722935,34.53501804990773,29.424607718338187,28.6002779486211,23.243288248846984,24.838249613970035,25.09591692095494,28.723499326221173,28.523732136870922,32.49030776790282,35.11370431951569,33.56162986624388,36.61234980486783,38.195047467938956,35.451485547733036,37.13912680402902,36.69615328207602,36.96475549774721,38.14167895787601,40.739473968102274,44.27821279941737,46.34589330038167,47.61032020365737,46.32895885001459,43.687128744213226,42.17781471172947,42.34576310046473,38.81777246385081,35.61088492904064,39.05252762001065,33.94855460143499,37.66335193314169,34.23913596370809,29.361073862895495,29.053680519922477,26.87734998551626,23.73678303721288,23.643150615471995,25.83873859712834,28.10019270940685,32.9189191384664,36.3391738506349,39.69384708640622,42.430221511649215,43.557869616303016,47.64928135171395,44.48128929539917,44.38871343891814,40.270017404336215,37.893829583138945,37.87840860015942,37.627792985471665,35.61224961253312,39.659771209470925,40.97352784367709,42.874984376432224,38.61581096016848,37.91183069662555,35.09851812985165,34.53366813633618,31.401499870396187,29.46800662372511,29.521164742132687,28.323953035015194,25.637206480889773,27.654529385505715,25.818088318655484,29.090719683943846,30.279278863181972,32.78453989200612,29.817015823105585,27.104563579142212,31.082236649604223,30.854037163668472,25.026035475112348,27.90904301381227,33.35041599903297,29.617729049251448,27.951240453169206,31.49294699819507,32.886437731787154,29.038021301401415,29.441800899269836,26.300714782721364,31.4525835424632,24.8636574173169,27.300103568954864,31.292469303874284,32.811490312003826,36.676942446586075,36.82066172122495,39.100146510081906,37.582076486169655,40.107084554684775,39.15021880100837,40.35096663872599,37.90064608363416,33.2596918498287,35.679135879164754,35.48361073462214,31.057675860929304,30.365747231102723,32.46883878025812,29.185742682047522,25.803143717005515,26.9002866540751,26.62256551954437,31.97993733104083,34.615279117096215,35.98724428487106,39.77872927725205,43.50185554885909,42.74470911491935,37.87947227553864,40.35248241388864,43.323954336702506,39.45950263160977,37.00635941256698,40.91823664989299,40.84376763428873,36.77509697557249,39.454489389015905,41.90791580300645,39.19772112716899,37.36717497968975,39.98199012459774,36.98200575122864,38.84051772417411,37.64578858632829,38.56840435328358,37.038330898163466,32.47842356931623,33.681832619443064,33.006463321031404,30.39489370994248,28.0888604146004,31.02638465824345,28.5026393153013,24.327564144001126,25.17203871437021,27.297779790326288,24.390558442980467,21.239510903947806,19.087788761067312,18.13967223602331,15.898661469430703,20.631772395660786,18.93138661118569,21.9179528990023,23.31195762261692,18.90620289991361,17.73396290578972,15.435517296290131,16.678669339782758,21.16521504147831,22.559503719027017,25.366606430157034,25.785797637920332,27.859353315821085,32.82001598384198,34.97549557266722,37.56790705902963,32.93030469480707,33.09720026084955,37.367674971818204,35.720613858950834,32.259619584147686,35.230339514916935,38.71407661055833,40.31840866413407,41.42846743494812,42.225951688035195],[30.89969387753549,28.30302817551519,27.043839973582365,24.661047987388773,26.027506083957476,31.14548576166635,32.74075317051123,37.09999599770585,38.14720021485895,38.4127511680957,41.92694953049726,44.697380034754204,42.31497338436932,41.0712921403065,46.14369000981933,46.65062415110122,43.27105194889621,46.79955532627956,46.69419096268757,48.44401789233761,50.55838782350597,53.537817566635084,52.071662626674836,49.64995869367294,47.22765419019532,45.448392509324115,43.86859672016735,42.232941230147496,45.29484567037704,46.45842217039804,51.55735122578173,50.79237121470571,55.182071811128424,57.85346335687843,54.33033738605807,51.458253203270615,49.994983582820026,48.107434831602085,45.77893447772671,49.33862662184693,46.326679026535274,48.99107418946795,52.123592577331195,49.5350560655611,50.57249998442961,47.502425412255704,50.28450831038056,51.03105590424463,45.59989054992116,46.390094446260825,50.89584066470783,50.2941307809826,54.11907381894487,50.398631205446456,55.6129760268524,58.506787582907464,55.66228142490172,56.51999397710752,61.04763394413214,60.49899020955964,58.331411039178086,61.52031810226888,61.110242090975554,62.14096996945425,58.648479961305114,55.83980948320145,53.867542489306004,52.46261025120547,50.06656165980346,49.82968989056719,48.700039020097975,51.39278251283915,53.57097567311901,55.17569697344405,55.373172042451486,61.449468983828496,58.525177793686595,62.17064456559292,59.7358277557652,58.970175351224476,56.85116749969526,54.08458593298594,52.80916796153834,50.18027269278764,47.252385578319156,48.87842113761485,51.65645590757262,54.047434349446995,54.36763962411763,59.18137929284352,57.54254800398101,61.35306141506868,58.75745895401893,57.30643002286563,52.79037504079979,54.28065870993998,50.07113641492155,51.98629251015622,49.497039008392576,51.23593491613137,50.96350329811008,48.72618801916324,48.960566138145424,45.58185183613608,45.24948989992072,40.822967037050695,41.293678053213526,37.60277746020606,34.789053259738814,37.99903709525164,34.62770531170504,35.39738492513989,35.03369013213254,33.76899216073332,36.53527766516243,34.493736116285376,38.03387426793992,36.052654612742124,41.73964683433009,42.631964135437045,40.018385162532766,38.3336399246157,33.759048150839334,32.62375510861389,31.944446640541972,29.881867853558436,30.779962814354803,30.87627752259423,31.451774542573258,35.375648931812606,30.730967561098286,34.2813807589478,33.960023068276485,38.066129974593856,33.01712645788755,31.800052242219508,26.41640870955416,27.92396398499749,27.95913910336126,31.78119534628563,31.61576778863935,35.85788269171401,38.20646446054221,36.59598967532028,39.85239540101318,41.07713147791407,38.1784849667549,39.57631408053168,39.06724216180863,38.80461822362129,39.891641486558804,42.00229002600816,45.598228905142996,47.09559859701245,48.63372606925217,47.78966665736486,45.349349512288654,44.104041395250555,44.52875925840654,41.30355092287051,38.53423845301137,42.050917290863396,37.183076546531574,41.142653152970546,38.078770251612006,33.300409565498384,33.225110454224726,31.351628119051238,28.087148925719983,27.627266664096787,29.70787821506147,31.65561370709832,36.553103232905244,39.81380047585944,42.98225845469041,45.518881878000755,46.36061238790528,50.70240735983318,47.82965843944924,47.801446491783736,43.9741644452728,41.18905193168439,41.654760633601725,41.6878234861732,39.63345827010428,43.78196128372994,44.93793378194845,47.098903202128106,42.90868975770907,42.38445883278506,39.707942379640116,38.916423928714444,35.853138114594955,33.74845266121623,33.68185144076013,32.33617492871954,29.272715536828763,30.94827820340874,28.56723480701663,31.574765339063124,32.36868225364183,34.599183189932006,31.622267659860952,28.64250026845208,32.29910533966993,31.7976051628178,25.784956664335706,28.438784806088183,33.71193056450451,29.61356978360214,27.610996872126478,30.960793573518696,32.30674175519374,28.089157801657706,28.164744573448658,25.329388562734362,30.411619277293138,24.150900298857295,27.169191127525355,30.982216528280038,32.93115595928244,36.357231280080256,37.08625799289754,39.791569378191106,38.75228215166725,41.623890277845,40.98699152105622,42.46201658312602,39.69815952592956,35.14973553381267,38.031124736483726,37.922413975851924,33.308083448039085,32.93756647620596,35.48372647366291,31.98915552667229,28.41081986155106,30.2110251744023,29.20411460226472,34.81268534529551,37.26869574846038,38.06858801674948,41.951695415633004,45.314039573526294,44.72639589849383,39.83460646870063,41.74623828976918,44.69385030814743,40.8926164067617,38.09031235335159,41.63604503216309,41.403833638470836,37.19157875004264,39.74277051287076,41.93146444879727,38.95603237737581,37.06576695451388,39.715981666475116,36.93905663696626,39.23741794025059,38.542858316765184,39.59710879277278,37.46939700529504,33.06237761560754,34.88439717745972,33.846318250500936,30.947619348384443,29.368167381083335,32.40183133075021,29.254990715907944,25.247135512802434,26.961212083589913,28.772222254681154,25.255809409860447,22.187820985839565,19.663856197640108,18.354959814635922,15.42963507769029,19.64897869760847,18.130789534843302,21.81890013454037,23.03268748495205,18.319489152780676,18.00359244233424,16.057408774268858,18.236974937784154,22.71278426887545,24.258747973225212,27.626895588004764,27.804171444577978,29.053645075138466,34.309653854244665,36.15226619574031,38.76413566075831,33.9988347253238,33.60402123833706,37.77353692514328,36.37248972484331,32.32454730712587,35.008195680354795,38.41537691738011,39.9258985912686,40.891510564080214,41.72495851572713],[35.840114204509135,33.266893791015775,31.94279744833414,29.92884409554715,31.035268786339103,36.36859351517957,37.95223020782376,42.24929414609365,43.45913037547726,43.663230892794964,47.20878012778407,49.95842814490685,47.41364769693508,46.25561191241553,51.27830046971616,51.680179587145304,48.17043975558523,51.5608429605522,51.21534127668462,52.83050978779621,54.73997528384649,57.51769750161527,55.90218426530519,53.320992591044075,51.047644300665,49.55966086102427,48.06870361295466,46.729301524770456,49.94996745822121,51.24499569410646,56.47653481835139,55.70028788651156,60.1478179852953,62.69124208863896,59.053857528001245,56.094560398808355,54.59879628366271,52.453803658436655,49.938067100808496,53.10645007730096,50.08105642122664,52.994112237188766,55.88064272604782,53.0908342369929,53.923215523418776,50.657424005693635,53.185631501393615,54.211208773277995,48.84841169857784,49.20415779320001,53.83763600296318,53.25828658973648,57.205296224617356,53.810262930626166,59.06559293328704,61.80620895698003,59.143035323421756,60.30002748885987,64.69386473047766,63.9722018117518,62.12674863676807,65.55288361354333,65.37028159102724,66.2874540294901,62.66706119749886,60.03426121856796,58.226013294877724,57.04502332896975,54.69551077219184,54.68927188978822,53.51445074848555,56.19996541344076,58.40878420504728,59.797992097877966,60.106664976691974,66.07604526674632,63.00960988939474,66.72552548003237,64.15132261474311,63.15421797102812,61.07215935425725,58.050153975610044,56.83886045209004,53.9360408385679,51.11761455867896,53.050469216291084,55.86019835864828,58.44982317877777,58.822130551446264,63.81227841935943,62.27129121966959,66.14485313671668,63.678671027296915,62.32146305173003,57.86339091175494,59.45912380289798,55.287744736710245,57.121855418608426,54.65097630490014,56.37350594844615,55.913838860913046,53.549022017283384,53.62088159848644,50.1062994908415,49.358856430835694,45.07603651426394,45.24011801326723,41.37697844832425,38.83653408017014,42.27532230632276,39.215379178783195,40.031754632952754,39.988588656482776,38.60620521496354,41.50007751609532,39.322631775549176,42.751322645731825,40.55661333777723,46.18693823141433,47.36126956731629,44.840948786956034,43.32000037839403,38.68451108264491,37.66552365226774,37.10634340200195,34.769663421873254,35.70754589589328,35.48751013012469,35.76433432203834,39.38523811319171,34.43589494090908,37.60957308908301,37.17081308009548,41.57600002673258,36.659717541077235,35.91745526673662,30.481948285165302,32.223780038448965,32.40575831332006,36.086232995540634,35.680588006346305,39.626924736713505,42.31970338782496,40.86597944219202,43.996651930641846,45.532760273754505,42.74366089279331,44.32457668291822,43.80889396745261,43.78999195903463,44.78894706508903,47.11081173454179,50.57526573112942,52.22442941009172,53.81758367026412,52.845236969835675,50.39508437201504,48.96482168568114,49.36687929893902,45.88777561620473,42.912595382852054,46.43350250498214,41.38008004732634,45.12249729928728,41.676128579334055,36.764907103593025,36.39296156936021,34.03383260612738,30.96608193921371,31.069988352755118,33.24462243251535,35.55893733011268,40.349484474980926,43.743967022306016,47.08553990149546,49.730694045076426,50.8485846952795,54.96081497166675,51.87893725766545,51.7168205409976,47.64063008917723,45.129853957402204,45.05095448804807,44.74087786888472,42.87959143976136,46.97966529573776,48.37562016241313,50.15588175094671,45.80446859616938,45.01969205368927,42.06160690036798,41.707053272844526,38.41746661077777,36.47585206261528,36.322476486121204,34.77658849327543,32.27950426111525,33.87110718492996,31.73124750850466,35.18695851306463,35.64596528247855,38.3268378056015,35.6491460795795,32.30719590657905,35.852769573202366,35.89682431749612,29.94852903728006,32.12178900093283,37.55574510203997,33.948647784787916,31.690284866728703,34.80792413837283,36.61468982316914,32.51476736196621,32.04391657839369,29.121049402752718,33.71775547538543,26.920833333124197,30.178834740102356,33.77269930129885,35.070541303948154,38.232155368002,38.775470861247484,41.891260595267255,40.93970796981373,43.795671823763854,43.567815353051756,44.513073568892686,41.49100460472882,37.537824585709764,40.33238490772652,39.50421725471875,35.04368510869732,35.11082072120571,37.339943699056796,33.22934180430341,30.0906766038766,32.383706617979705,31.888671122268107,37.78324427770638,40.01841007676849,41.06492979644684,45.119281793336725,48.48079553434547,48.26501482154685,43.35833202039557,45.18061132999549,48.429675771461696,44.888771283649355,41.91678415112025,45.54013217818654,45.56976844138536,41.32409366373447,43.48040418531471,45.86470864029771,43.1834248035964,40.88934185216493,43.22591599230815,40.2981931758234,42.4109613739842,41.818156305926074,42.38093013685216,40.20876272846213,36.26241734214729,37.691217012424495,36.206602874103,33.564676762427524,32.121145575730935,34.32169456192447,30.96854609425496,27.643866315143658,29.050415832289133,29.996465346929252,26.428137914911858,23.97120737785146,22.392095772983524,19.89481156176415,17.92224689054295,22.193465881905077,21.812784715884746,25.63016679126906,27.504829563614777,22.86312377697708,22.293719519309487,19.77027553672763,21.92860661528854,26.221100950987665,28.478730974542113,31.56753725481204,32.297595495290864,33.650196297076555,38.75848197590008,40.48959964399466,43.37382752458916,38.76924439334877,38.23660629998003,42.49685011674389,41.375318091990756,37.32641541601295,39.78194068477877,43.29644437322449,44.79142180274179,45.70896554058807,46.42315844356299],[35.91547060183012,33.07146218209184,31.156128206481203,29.57303568909003,29.87686826354494,35.666701353258006,37.12753583984946,41.232535176335205,42.9060370282845,43.1143174738434,46.775991570570156,49.28587255586363,46.5390019518639,45.82790428631426,50.712871075885644,50.81065255247993,47.29689899644427,50.6850834302005,50.44552038692007,51.66215070760856,53.616492104860775,56.12620581482358,54.6145614116434,52.13159278033365,49.691775865321546,48.50279807846271,46.758137085684986,45.572309708664925,48.75915690988671,49.95804071773253,55.55275464460139,54.44173882659717,58.9641299902901,61.441470291682464,57.63370986305039,54.74505272473547,52.97193202483999,50.82474896515307,48.181409743987416,50.931268765307706,48.14203423304271,51.44403381663938,54.11545624933771,51.335263535964586,52.325987798023746,49.092839285646114,51.41722078654379,52.28788576287642,46.931228921551885,46.983719278190435,51.49014951955778,50.6975216593773,54.71618829077213,51.52161482711341,56.61952981067689,59.47425471437007,57.108824322250605,58.26666503776465,62.55072778366144,61.9877634722141,60.415150708663425,63.97028399417536,63.89140442942646,65.01878431576793,61.30579015218784,58.61878994720363,57.26842095607906,56.11397633812408,54.14001680289644,54.2468901984454,53.289726690369314,56.202744284901144,58.09878107250246,59.290639207329114,59.340614678726915,65.13643798591839,61.77407147200113,65.39384824736982,62.59039868213063,61.355296886578635,59.09331840889584,55.84054113052002,54.47845467463929,51.39272242525931,48.81791023923912,50.98863310363111,54.02231694322727,56.603305519221074,57.31959250442217,62.367261013747424,61.12909176730136,65.19523894718778,62.842286702081694,61.45914417280594,57.09147124056796,58.93079926277724,54.845034443950084,56.233205672326456,53.69731619558859,55.25722414849759,54.503276317861655,51.841812381904276,51.75376628878046,47.99579898591628,46.79929557255079,42.66638616302802,42.492510947508855,38.498446550798455,36.25135178649297,39.9028080048302,37.25782267527031,38.16327769293138,38.640149457037495,37.248523733893634,40.54331485287373,38.42840416924869,41.87855590888844,39.80056108703973,45.569299769903694,46.70865238669132,44.451785730757265,42.9121393996521,38.32921899440504,37.117083950414575,36.448571579725105,33.56040108569837,34.313947917737885,33.64133620523226,33.4991318286493,36.778442473589614,31.582937576494256,34.404401637604835,33.97154810420993,38.5482449694674,33.884032423548135,33.636317630640505,28.164343898981986,30.410273934819863,31.074658280566315,34.615290442151746,34.60279700197925,38.37377595307639,41.128353290117595,39.531018994019554,42.39093824751013,44.04374792612318,41.33579252578706,42.89982725473234,42.19104942501683,42.49146078979789,43.248219664293316,45.96572214936278,49.167677458415675,51.222190215131185,52.830899443022865,51.555205664643836,49.131587721646284,47.34629638083444,47.81840603787708,43.92888180121085,40.87042126156111,44.579310729422616,39.54318477705011,43.03996035350353,39.30662374183509,34.586184410245075,33.696601750161825,31.245497313749187,28.093068965230906,28.704002735498143,30.699898384504486,33.38123486315243,37.92659710203167,41.33020463240229,44.79645483949749,47.4141403559183,48.90949810895787,52.68577994082778,49.51558572623366,49.12520360194386,44.962936061391886,42.51409519757872,42.01255964240905,41.52736343932227,39.913855204283756,44.15869661065952,45.903502768827074,47.45697341069419,43.32709263993551,42.13262126282383,39.01016600950995,38.70907642282818,35.14984158214086,33.16074484916081,32.81636117941333,31.06772385902595,28.91865477644256,30.406147964160947,28.509357281755445,32.27839120720199,32.62801927040754,35.659918955570404,33.223109607677465,29.763137350967437,33.354475804430756,33.871106762489426,28.114049187751156,30.088853968722603,35.67722946569018,32.62773773072289,30.43413354864305,33.53853728666669,35.65304574786517,31.925316301281782,31.377571172237058,28.17221500385081,32.57914305876624,25.344504556156895,28.253264563028438,31.871719054239207,32.64424348260446,36.05113318638496,36.11490160771756,39.05566802373343,37.84454335474032,40.49889779885327,40.26738577722376,40.89085694730445,37.93984128822773,34.16379781022544,36.72194717335307,35.61486970885079,31.29403142276496,31.40070387040906,33.36163921974843,29.131190666731136,26.22258001627081,28.518846870291746,28.4404399207998,34.36996158698182,36.5113484308176,37.862132690185405,41.94934629767334,45.437127121291326,45.35547191910769,40.47651653615646,42.47776522022661,45.89650414594647,42.50848799677155,39.604997936188,43.45357269340709,43.739647055860075,39.57260313063625,41.56367912165882,44.22269840556686,41.90942446902103,39.4223200478704,41.56723181573148,38.42116328066387,40.15210614155526,39.308191842232475,39.57876973497537,37.75772774497436,33.925216805975175,34.82305129666381,33.378779668562245,31.01748598210744,29.224791644137273,31.051955730443243,28.01707372512312,24.837281306562563,25.667974406285538,26.4969608259229,23.29094754384102,20.975129381167548,19.984830122699393,17.335563402656984,16.176061190161253,20.777067740850093,20.73461446452601,24.11011301363017,26.50398986849523,22.170351433331636,20.92864184373452,17.905150311448306,19.599868395805625,23.669013713345443,26.34187938660775,29.005757633796957,30.301689776275644,31.94853967560005,36.759414251410824,38.500462353392464,41.60526423101889,37.242359870479525,36.83242735906548,41.20665062663811,40.273413249567135,36.53963664529062,38.928364270710404,42.60712058527455,44.17280692274188,45.185445027127244,45.805277950197976],[32.37852273000917,29.406567503110363,27.25798616650736,25.772295154646685,25.854981224167044,31.73139023432861,33.20580799993186,37.24554466744942,39.06471609313579,39.387330411003276,43.08342357043907,45.461454032403836,42.78971181503177,42.256287422786826,47.11579257189069,47.14777893930014,43.7644355096741,47.287295997714175,47.32168925087503,48.449270791323855,50.608230127215265,53.154201813877435,51.8213808735362,49.518317238523,46.86669282408401,45.58382220186783,43.62553683977018,42.258644829800794,45.28233044718572,46.293802275460514,51.97715171574572,50.67281837879189,55.18562109361605,57.76415864174887,53.96515239037441,51.2019644863935,49.285926254719946,47.385336432964195,44.83351207530628,47.697237177506416,45.049839555178984,48.36090613823015,51.132571434568234,48.52350650037165,49.76883052758721,46.70497547209818,49.13872206575572,49.704576780389814,44.280824323771284,44.53316851472853,48.875498506309306,47.94049259572159,51.90726441990581,48.53883054249914,53.52386968503174,56.58319594912853,54.22250229209307,55.122525372660384,59.46985636591372,59.14068491666545,57.43711352100891,60.86131259093138,60.63624698400492,61.97209960728603,58.32137601754528,55.45070091987243,54.19367753324206,52.85378291133514,51.02982413618936,50.984760011296494,50.17680529653446,53.2008263848336,54.919390652431154,56.20770874638369,56.029346379575856,61.8353902268688,58.44529355093138,61.951003034494406,59.146074399742616,57.98676228100535,55.578213609053634,52.41495523001864,50.886890519506935,47.933128275448695,45.40736280183086,47.446566264553404,50.598891660399495,52.98878508645012,53.864808814339575,58.78355917896383,57.62242844776486,61.7352347238919,59.31644522020158,57.82251221359082,53.44313031618728,55.30507809914469,51.2236239941241,52.440379363130305,49.83024963238495,51.269365317556996,50.56979448681711,47.80413939473913,47.820399227124526,43.98720567691784,42.9057225303795,38.68370018544156,38.530629202565684,34.579230760194285,32.21380974487083,35.83526226702401,33.159766311919185,34.16853938908688,34.68513634335772,33.44014734331567,36.88432455964025,34.94463033831838,38.51771795218669,36.696123075779134,42.58665339060216,43.45849082550323,41.256235246264076,39.55631446353435,35.06430258006725,33.629290584105284,32.75723181870197,29.78364891649524,30.29661423527229,29.656643902350016,29.479946307223482,32.87227193338874,27.711820640571162,30.656558593986986,30.400950553597564,34.85982769507481,30.229949388920275,29.88186248678462,24.3585392817923,26.799409565387688,27.666013407873898,31.26299266446428,31.69571169313922,35.62838650408815,38.127033847533625,36.30775738559343,39.13006654765446,40.569137771517305,37.79783503175657,39.1680086823028,38.318506727968604,38.55981751075171,39.19974010738499,41.944815856750004,45.08281630153846,47.18467583341131,48.82117700571305,47.522220788730976,45.159237424088985,43.318461585566865,43.90396873229003,39.97235812542616,37.07946943362061,40.94188871158322,36.07764615197782,39.63712772401005,36.053617220136545,31.549368203938858,30.58291416750327,28.49336595593883,25.06371557354147,25.511963584415817,27.30970396963002,29.928033958278803,34.437981562712295,37.73747532961602,41.137569821961605,43.62876420487022,45.11632820257783,48.90612833029499,45.88093030099012,45.45435856322647,41.462813972533105,38.75021447323459,38.480901484269886,38.20313032228001,36.58147520951146,41.00537083052779,42.766826987769235,44.523535557258356,40.65389670193242,39.43329821877393,36.439097599039435,35.77829964151917,32.21089290179224,30.002575807927105,29.57222324544154,27.798060065996996,25.305472824045317,26.74302576266023,24.67522671278303,28.3133020110219,28.774345730272866,31.67650054226017,29.151826146175466,25.79190675025279,29.478977142807363,29.865467985134117,24.109181193845956,26.2730721078073,31.861931720348664,28.75691868137812,26.717119694470313,29.95456796819331,31.953361817726474,28.326926169186518,28.039859657849178,24.74895539275415,29.37042496451293,22.248339385057953,24.87347915009138,28.664793233083163,29.67386353075889,33.3705368759261,33.39175901644273,36.00893911837781,34.658832005835194,37.2875305948151,36.79722871836632,37.69566252055081,34.90702189692001,30.75500635962727,33.34828201563938,32.65484396285632,28.214584494145925,28.053154893451957,30.227280128108063,26.343276977637178,23.113289074189087,25.185041105949907,24.798564894831316,30.65828591150042,32.90463962791428,34.15836856414474,38.18695883817113,41.708962928573385,41.46761848068074,36.576332904222916,38.66582686529772,41.98265060844262,38.495953430818666,35.67663749825555,39.56733937247041,39.802040086507695,35.66467219787438,37.816844723921605,40.47347584574381,38.134150174044656,35.78806742421886,38.047657599401234,34.89849340372179,36.613244381059005,35.623001456264944,36.10359478500238,34.41301231327547,30.310181778764264,31.28508207089427,30.129799197463885,27.675863524341757,25.663180539896583,27.94894419919633,25.12660618921157,21.483865858035866,22.356837754451828,23.78321515218972,20.6856146206412,17.924774536614116,16.486981200957015,14.582505047558127,13.091901566597267,17.87831450312689,17.285692164467296,20.39034270255275,22.688235773702427,18.465493723802947,17.01010829928626,14.013581980920597,15.566020369177249,19.709033886543683,22.226844193745443,24.940451699746163,26.202727527311076,27.837648017026904,32.64162861210641,34.4230419250158,37.496412250986914,33.1403822784782,32.80534127071912,37.190141682540784,36.2304266797531,32.60079456894606,35.050933317544256,38.75060150596203,40.343186754488435,41.42071670253124,42.05437731548043],[29.745592707389395,26.536942655098365,23.858898346588347,22.282661513910725,21.662498450734038,27.792517201770792,29.01430995162575,32.94599246902603,34.961838074623344,35.202116363152136,38.9430364091708,41.19489642448773,38.386013156824575,38.109290264130884,42.85971755429851,42.72978818062322,39.38610862039658,42.941685925925796,43.15443017553649,44.0915892582183,46.38316714460212,48.87490364505986,47.698534253605864,45.5652314423168,42.72378962925038,41.46033231072315,39.293957259357256,37.87236558896013,40.794747819296305,41.706891298145905,47.5358019489833,46.07110598406874,50.603687955840485,53.16519482727933,49.31921347704908,46.621428450985505,44.584678948027324,42.78250464058289,40.25725069326153,43.115930806563114,40.60283599537265,43.98385604518024,46.77344928792356,44.300852683899905,45.77264695769708,42.87251078519045,45.355227898934274,45.63368338197263,40.1809141609423,40.564714532365336,44.73762148546952,43.67820746015528,47.5952731179004,44.11693826755215,49.0028811924155,52.20776929365677,49.884955030827115,50.60414922581458,54.97269278904825,54.82769014572114,53.07604476333383,56.43224246413631,56.142681922946956,57.65184005328092,54.02783886292964,51.03308890352491,49.96495399923622,48.533163825009396,46.93586251209857,46.86526648457895,46.22913861877385,49.39938659632818,50.87937117708268,52.12713370168703,51.734793651486456,57.470283612137045,53.97944597966012,57.3980997867213,54.53751011259194,53.367266951184426,50.85963738805458,47.714153306552035,46.10114299344994,43.199590235441164,40.7134691366916,42.712432290540576,45.95447272403715,48.25631101207986,49.27383572648972,54.14870207092654,53.10883238272556,57.297674368708776,54.90586924097034,53.38012016311386,49.051834199793674,51.03496485135728,47.01850986689211,47.999285618313046,45.38604746658517,46.819399505536296,45.93507255714936,43.14117682745251,43.05366950124836,39.221594050242516,38.089651592604596,33.899265651433396,33.82899722649068,29.893242661924013,27.584835641843064,31.180805585091612,28.561060709295916,29.443280233601524,30.137174646335833,28.85344521946612,32.47430533150782,30.62362469817991,34.2331666877084,32.61205558010739,38.587906162556266,39.29042660580148,37.24685703146491,35.48488083024116,31.096827576435754,29.495893823550105,28.55023338530309,25.288284269128937,25.808618707327142,24.942453577527072,24.719632831361224,28.063039279129626,22.950967412064838,26.030290548528143,25.73546666921654,30.117200151861926,25.44077611067897,25.067885658541563,19.542328801721457,22.14046205866779,23.263676215560835,26.81430588107511,27.677321982028307,31.6449056640086,33.948632793422256,31.94866901575193,34.65852487151702,36.0046909278428,33.23968331903458,34.53989900557893,33.61961764702147,34.00556308004781,34.632407620346925,37.566942971986784,40.670559268011395,43.03712828751794,44.527622789324724,43.041055532822504,40.62649252770857,38.68066357069451,39.223873399742814,35.19970327539978,32.2821616514876,36.215441909503795,31.443795148157445,34.982848510250136,31.4693560920904,27.164979506900348,26.103467871252093,24.3331187059828,20.693489899987426,21.025069308746247,22.653535406045822,25.259492273083037,29.71038205207654,32.9570267731349,36.3381386164736,38.79739363877633,40.32877590645117,44.07660545972805,41.080967899459395,40.64195327891592,36.71707303756244,33.92422289717646,33.76866027221084,33.619654187971335,31.94991601867109,36.465205879865046,38.2356220338839,40.13082059907282,36.48980158414812,35.249359992416345,32.39213156262694,31.4285533102119,27.907445821483226,25.563530836477785,25.156125028073426,23.518566876935047,20.746145116874327,22.36989602703844,20.39410629196495,23.89958609547928,24.812903672218155,27.582142347236857,24.88396863952576,21.922158384724334,25.889613535011623,26.107609233783595,20.486954672721048,23.102390316876807,28.655088187132627,25.541528176855216,23.932218836047806,27.411063907276652,29.1374555254158,25.780459736157272,26.072584269961325,22.67846157530411,27.581472200084637,20.77741170138687,22.705995114754142,26.723792244633923,27.914867699988474,32.06487273005003,31.837740382439787,33.821819409002764,32.100056416139964,34.505685119121665,33.502429014257004,34.64612641292999,32.26637638555012,27.595526125234045,29.96837509676407,29.81524208239387,25.3842320019865,24.65563430412135,26.843156242811002,23.63088323938328,20.14350959239063,21.374798869372707,20.976685845618118,26.492783747961358,29.003563412070733,30.40743965140129,34.262063760794405,37.9944279764712,37.40367378461452,32.53425408400264,35.021969564267216,38.1489823515247,34.46672442000505,31.974706355433458,36.0422305154198,36.21858144394804,32.21435726304085,34.69193120794142,37.38762458506215,35.066153594922596,33.02890858032099,35.45375951120556,32.2785206584473,33.81016081228629,32.41802508589055,33.16945365943831,31.921442835243006,27.40525386944983,28.24365263803159,27.692378658723527,25.26404871221207,22.6508513843081,25.531526764748815,23.35601628044563,19.086597228013094,19.57737041083613,21.968201046547915,19.42878206804613,16.151200728573162,14.227444284170861,13.804971315403698,12.17012627636425,16.99089582126849,15.424219707638054,17.725484461112707,19.713956907335675,15.856381676432097,13.859960788961873,11.04444677207211,11.755575462795035,15.97284708330897,17.942191949735793,20.454767717949547,21.624395070538505,23.674171997339837,28.343104252595978,30.363790801123322,33.28904205520108,28.96071858130459,29.040230738429432,33.426186169722584,32.21621930917976,28.995118475370777,31.708178739837667,35.39084319684807,37.045067439977295,38.246255901101634,38.91633718392144],[33.11541058550052,29.95353289371623,27.229426994379327,26.546661972504307,25.72738018804057,31.93869546932826,33.35954060516533,37.04717317148958,39.440585405094446,39.89652063952989,43.6675880785927,45.67243408863036,42.91738611739979,42.95537477522939,47.59961074570797,47.28572268938828,44.02631000803638,47.56869384685342,47.83223483295377,48.47982365069187,50.737727451166684,52.964860703888604,51.81857090260115,49.70040571864492,46.8343462482264,45.87761312085309,43.58870145676925,42.3441113253792,45.20998769805925,45.99558275036272,52.059669432837616,50.28582530759894,54.82941863200182,57.38472104343224,53.43333530888025,50.8478728137307,48.549615746167326,46.79977744400125,44.16754356857371,46.51975031550327,44.25506041342516,48.0010430701046,50.52005651377018,48.00291439240343,49.49123789046357,46.541123851456035,48.726731722481,49.02890276251597,43.66240786546692,43.57879688756608,47.66531211854328,46.415167802584456,50.42562569584187,47.29817419251712,51.99447109390133,55.245883928642236,53.28141383024227,54.08889525394191,58.286038304426654,58.23026336325016,56.830522243035794,60.338767123179856,60.18118570375242,61.818349574988154,58.1152919558196,55.144319815467405,54.4440563594899,53.07412280649062,51.72329521951131,51.72849189784194,51.20802961262227,54.460311415477534,55.786386434069755,56.90502577213401,56.36998100217939,61.95309041459007,58.25347344553016,61.57408782422155,58.526869084338685,57.12620732794319,54.45059326595391,51.06458399832589,49.266770710973034,46.15969366649026,44.01508900545744,46.276712044744215,49.73469128867671,51.994868536255765,53.353555803330046,58.23181915569477,57.45714276753219,61.768220677485,59.45208525419343,57.87722227494894,53.61951039863361,55.714857447352735,51.7546691336365,52.40066148860687,49.684651430860086,50.80272292945671,49.876202085799214,46.67531980262587,46.62202427924655,42.42908152739248,40.84806196247935,36.794644313548886,36.11061273467042,32.03848801523678,30.014914893017693,33.883982765580896,31.80961949214722,33.09443800856903,34.26477510133556,33.1800223931653,37.09822331497622,35.37246129240204,38.95617191901083,37.40707500631074,43.376887385982755,44.09485795833885,42.21683987232736,40.45174012080206,36.14842052027101,34.43819708092854,33.33678272206703,29.807337494243438,29.839361559365855,28.727249624370852,27.928432489992183,30.86676229205369,25.420049798652162,27.778975814104943,27.736211536863724,32.337548898831706,28.23229335699717,28.57044130038505,23.12133098494507,26.312077425472854,27.85907060610642,31.20032944655536,32.24693721167409,35.92939668384092,38.366011774125866,36.33789554909451,38.770086001785415,40.22774492849246,37.5668580578155,38.77506384618951,37.60460276270022,38.14687769241636,38.353301140587945,41.49874524865518,44.201868282869754,46.695610376677905,48.440793283988235,46.853234049464064,44.63792471541301,42.36047259586488,43.15000368878123,38.73130611283177,35.91984324726877,40.06359387658832,35.396002583181335,38.60863711926547,34.76635553575285,30.707639105174408,29.00060966430692,26.9620023552368,23.396954846006025,24.52581783416472,25.909294764186853,28.947298127212857,32.99516354817104,36.193512267235995,39.67552802971029,42.01117268095928,43.97438619271406,47.2935863219092,44.276343727858624,43.51029749663745,39.543702612379754,36.778155200158736,36.021890433630915,35.58860610824218,34.380956928510244,39.050938059052854,41.29075238640416,42.781665205069565,39.34929496600257,37.56589928670025,34.4144122711014,33.71989773880662,29.779531324513872,27.41867530387667,26.593185581441567,24.39398236179086,22.35547779389593,23.41175941099246,21.558590630763454,25.605759780469544,25.693802579248977,29.06869801539304,27.001191818832595,23.384654867368635,26.956523870381865,28.053952702420048,22.720460759600595,24.369918267529282,30.033986138318323,27.810343161314723,25.812842630063123,28.851028541027386,31.290825761675645,28.24103547306848,27.707352075896697,24.19918144654379,28.302615782836902,20.824586071156997,22.949021130951987,26.60952069067438,26.864280724742816,30.753064312713406,30.194348842257483,32.641930731435,31.046651034187477,33.45401823890335,33.07658805439503,33.549819902260545,30.772168920987223,26.960370231144935,29.323162909170442,28.212344383346284,23.93648628707086,23.960026867670134,25.880718114074728,21.71123085981435,18.76423424969955,21.163377734308355,21.179337878849307,27.17413457412249,29.173802487748564,30.709189787664698,34.81089522788559,38.38517237558695,38.43872339655006,33.60921881080994,35.7608761027124,39.32540905955878,36.152673388237446,33.338005491252986,37.41731573377838,38.01090297122118,34.00501604394107,35.799330459455504,38.770568334906756,36.96402193695135,34.31638120573273,36.23795187168652,32.86068891911772,34.084975144149304,32.87726010476073,32.9138634552885,31.604389400398823,27.809388593476054,28.09114763313507,26.888440937473064,24.84846354397054,22.519779321342504,24.168865459766767,21.725014285174534,18.46035587496956,18.569103050035014,19.705094007481343,17.110819234365625,14.677725269949608,14.303257866367193,12.17632598512221,12.169555513378704,16.911371290720293,17.038293265238725,19.39309325983745,22.418106821003086,18.881568639938184,16.668940941710613,13.13038878371668,13.982778793277895,17.46172253044764,20.737579214303487,22.82712922046106,24.973929070185434,26.732262729800276,31.042958994921413,32.68577976825096,36.08414112054988,32.156800511235126,31.812869666633105,36.263999876684885,35.72019446153353,32.45516413432423,34.630978453738344,38.48220281623217,40.10401585381267,41.249638222998016,41.7156983664262],[31.236762213947433,27.87990646376181,24.604739640305088,24.10869255714822,22.45189140560876,28.86421529992078,30.050033486478416,33.49671938675627,36.19774102083822,36.63071672197518,40.42217468071715,42.200087143549865,39.343586268587046,39.752775250700296,44.21442356793996,43.67838841933204,40.51858774448551,44.079382046697,44.566320072159336,44.92624161280403,47.32183585839919,49.417190666403734,48.467911223547496,46.56214068873587,43.485528379303,42.62662270272244,40.08149463209267,38.81879938649377,41.52244870719189,42.14411957826598,48.39793318065153,46.364489391302726,50.91070697865878,53.44454989880813,49.43289615990772,46.97066918213986,44.469594952231276,42.87378473288866,40.26500949061064,42.470863525611996,40.446659159369474,44.346824813728524,46.81018186159738,44.45820275917582,46.208983194289985,43.45928680255308,45.618001589033774,45.5812471735635,40.2350056167989,40.1894823453152,44.032103076733804,42.5835970356312,46.548265790372234,43.385000399955096,47.894991432129935,51.32966162296471,49.50487022308014,50.111877396378716,54.284538665510084,54.46859887239291,53.096476857100676,56.54408212149812,56.3380539679049,58.202645224189254,54.52840454083195,51.42699329438435,51.02891612338915,49.567958089228085,48.534468658464114,48.51846778219849,48.21923854055356,51.626766417160006,52.65287794519767,53.70245486935176,52.89201434324781,58.33612895471033,54.495958173196286,57.67796019148842,54.53638328488969,53.07993415367584,50.24777392362362,46.835641234544816,44.88237852336374,41.79700714258057,39.803652223148696,42.07324299626188,45.68646983162707,47.813300591185126,49.42385790504507,54.224520882026226,53.65461655467574,58.06140825444938,55.794303609697465,54.172334785427736,50.00704167681088,52.247976887552255,48.394551937237196,48.687369871471326,45.948352898910414,46.96307858740702,45.833392900774385,42.494706972326355,42.343469620148284,38.05751218055827,36.29896022617303,32.32638018223238,31.547730689905766,27.449544996279666,25.588044675682223,29.509217999405692,27.691540290230833,28.960126243086926,30.478519846893487,29.44014509111712,33.60941580759189,32.05632599887676,35.638565967687306,34.36314419082873,40.36567639565434,40.87889533532024,39.23239249862449,37.40680567711292,33.29976722013713,31.391064963542195,30.164517918739037,26.291056650555056,26.144808549308074,24.698968773014272,23.63302792456877,26.356407476459744,20.863755840647755,23.129932689819515,23.14755752831525,27.72423491168956,23.77768383391832,24.336447504551842,18.974240552415772,22.560942345293576,24.53411119397423,27.704960346094303,29.3039921183717,32.90590043269631,35.11834904573026,32.88702623029497,35.08721184764592,36.44153287524285,33.835592268395146,34.909673972831406,33.581493295370564,34.322500268053396,34.37679085188513,37.77491068356212,40.3067642412502,43.116601517767464,44.76245990587795,42.949155564811846,40.748943974494004,38.2702145206427,39.088636281618385,34.46751139933926,31.69370963844696,35.97203246004077,31.49455987804926,34.56419680600409,30.740883157940242,27.050809326161506,25.022375856205755,23.33526516966431,19.547113945454967,20.809574841172616,21.845212541695172,24.985060064772146,28.78368998485007,31.87483482100453,35.346280690918604,37.58847004335418,39.71989050139105,42.863610394860295,39.89220305378652,39.01597544192232,35.13475267011796,32.26447540413696,31.47100944894521,31.12116408288362,30.008879000768747,34.843593923757716,37.22681280986074,38.778196513498,35.70356274966467,33.742611788679966,30.688197426766983,29.684718115929705,25.668131855104942,23.10878566896371,22.143312199824003,19.88973183461928,17.725700039563748,18.803092996778513,17.10712006569023,21.19787909736716,21.58644822843341,24.99352993103241,22.92600017735829,19.607604952631874,23.3924105654413,24.55086122532629,19.540156242078584,21.414642626939077,27.01624051982777,25.059345425565972,23.483968223257296,26.64278790660486,28.92723359383026,26.301261720817674,26.215534585125546,22.624995227482422,26.79247072285919,19.652260142530913,20.955420153633483,24.75102136927522,25.004826337899637,29.340602972374374,28.423498212399046,30.194888148155385,28.175140004624836,30.299689021137755,29.442940990471012,30.051765972170433,27.684069544802643,23.426397863595188,25.501109238902046,24.82927436550468,20.594118752454452,20.070832980591657,21.932224763442747,18.38159081852082,15.22441091769408,16.838836831743148,17.002665503007048,22.73817736482494,24.922824743922043,26.699027300545644,30.665425718969804,34.460655113821275,34.26268885236804,29.47105174736761,32.01443240531688,35.46455180672425,32.20410853863616,29.699649368354944,33.9792164818809,34.6130102384709,30.784535388139183,32.77152370711454,35.84315203157172,34.19607605193853,31.770071913364596,33.7471531270724,30.312052828951142,31.235911751112816,29.59403209061863,29.774015048275785,28.99412048793727,24.90191711289609,24.85506616734709,24.247518377436055,22.356567691486422,19.34784937524178,21.41770267369477,19.773446414359803,15.997393131873674,15.446090733675506,17.550255047755712,15.739401714540003,12.89365993567304,12.33397052376052,11.766947381238097,11.963678379296361,16.49177884149277,15.925523445464968,17.274924417100316,20.180375518300583,17.273638917558806,14.447749615752755,11.01411834367024,10.751659091219196,13.927585270166073,16.961499608548216,18.58934122678936,20.982300390140598,23.11875615074844,27.101491498879895,28.900886808533304,32.2467464139311,28.50859559939788,28.522008090438995,32.9527226309322,32.320765000266505,29.544514344016203,31.838335387733423,35.676020985280964,37.35482392023224,38.614233525781046,39.08303313040737],[34.41435123430905,31.011374021348953,27.666919068095975,26.25931390552361,24.328417598729857,30.826102360441933,31.427757211345465,35.00878128350469,37.40420281972814,37.1963203722265,40.95548437104411,43.04507464144861,39.63152298007478,39.80571553833662,44.19484065039856,43.631585226496775,40.05257733424289,43.228462209740485,43.11678427482315,43.49517530794268,45.48583896064284,47.450248171387194,46.1949666634729,44.00512153505863,41.22701454751183,40.62375501066575,38.41133228533768,37.60903599050948,40.723736431344875,41.85844948951629,48.020931114673296,46.44987448827808,51.06623458639724,53.21961534221171,49.11722625023046,46.30267683950163,44.15235696718957,41.853483503302805,38.99255676097069,40.97448274494913,38.611582138207986,42.5427446513472,44.80800896668865,42.13206241054797,43.4935609426654,40.47453261347402,42.49635071784116,42.89986437299065,37.607481275531036,37.30012527593445,41.44919018916045,40.291520034247995,44.35009890172083,41.41019549794568,46.22415085441904,49.259855126720886,47.3548393350169,48.45264368753849,52.538249228940025,52.276871577984366,51.12076040160742,54.842945463188045,54.95288332297258,56.4363174044142,52.610168833737696,49.852248413120286,49.39691493089673,48.35116888994668,47.181474213451686,47.60121461608209,47.107654760681164,50.44135924925923,51.62254226249584,52.31623883003242,51.88514123755548,57.22678515913925,53.33175408621803,56.76922381832806,53.57627764597762,51.91424063597108,49.43953569959649,45.82089110520422,44.35268254099901,40.962669894193475,38.734737256965964,41.31408239182036,44.61983683446331,47.26584379690138,48.4858555647223,53.655275222169166,52.97141467513391,57.34248377901619,55.321157219768445,54.025329777848036,49.96964175164089,52.33939075529938,48.56964792783752,49.10781358189313,46.660538685360606,48.20637348677707,46.53961775623404,43.68951901201869,42.94275731569266,39.09763229685427,37.00099050144772,33.39257864075337,32.977427074156225,28.8522706082305,27.466473606148075,31.272251702010298,29.453989093900592,29.894561074762194,31.400260046776047,29.657895427624535,33.5124379107255,31.443434035088757,34.69172036197087,32.867279166066645,38.69590074698928,39.789742078783114,38.20377355273547,36.79753478943344,32.50543217886295,31.085217590780267,30.49962976755402,26.481837980318378,27.468558662216314,25.59454942830917,24.850074430587384,27.173958937638243,21.84373473997074,24.176332259487868,23.235258323055618,28.042751227228074,23.606142215024068,24.23272032664865,19.082384550339107,21.91047027435441,23.462270405602247,26.432733848391546,27.21105549131247,30.46749274113562,33.19217758111484,31.374554189660692,33.600849417756635,35.51890081985484,33.10815806962998,34.7937346423223,33.94529105277443,35.127395321022256,35.758602090800714,39.317952881776066,42.17274200650277,45.24821887187616,46.41607594523939,44.368944258542896,41.77948198745424,39.43654868810812,39.65645896431036,35.18274189746616,31.694005186917842,35.4565269710309,30.46309107000785,33.39592475657344,29.23003122880324,24.95915201328902,23.220613059074175,20.77954919636414,17.50283706200384,18.968664128401855,20.613051014761922,23.871367761989795,27.87874292916063,31.304800797632883,34.95839330142297,37.657838171581176,39.734135794478476,42.90555365034956,39.47252322169253,38.83265879266838,34.455408231962586,32.42264875820082,31.209486384492283,30.432236461156304,29.04241610874471,33.37294673635137,35.56281830053765,36.8307109124838,33.161718650204335,31.40861029699965,28.188674230592355,27.787366890257143,23.973537178163266,21.977864017253278,21.608980323367046,20.01221355215085,18.429841568298812,20.417662590358916,19.613570938900825,23.633237528529907,24.831244066967116,28.141137184234296,25.80689427908659,23.179930867284966,27.25031241944424,28.138478214054558,23.201522101522723,25.6171934583043,31.13274529975768,28.882101510845438,27.62311841018577,31.00198729261805,32.91691658647274,30.16050119563396,30.530492235116117,26.983436945095153,31.465042188713632,24.467050176041997,25.701961778309304,29.577541277602194,29.845667556305198,34.25129077956408,33.18766287580845,34.740377699929496,32.465962802304965,34.295790733820915,33.09561277920532,33.505607760267694,31.510480446915224,27.20980756802297,28.74712096018528,28.03858960892717,24.14861388010092,23.21037504927426,24.40181397698352,21.253100160908616,18.548933645456554,18.853325414195574,20.06277507794999,25.109495826930853,27.645890123643703,30.00056937596044,33.7057567163976,37.83779533978961,37.25086077670087,32.55820575847818,35.67435196304808,38.912778273579846,35.41503846067693,33.37433397148521,37.80507468896022,38.315662470251446,34.61835200681857,36.949046647961715,39.978924964214414,38.193194452176066,36.0992280188106,38.241124567615486,34.837804378501225,35.669109224132,33.73569164298456,34.01374129548285,33.58132545156698,29.31710333413845,29.063494410452705,28.792287475921395,27.02117985535191,23.653603531573346,25.738782092922385,24.477501864170517,20.684390927286596,19.646442757276105,21.851019399653506,20.402029957937636,17.673766758722493,17.06591864232127,16.541222405191096,16.44408169401021,21.184634872676337,20.14277620130859,21.52948462367907,23.846521212614352,20.71111821985905,18.006296016035268,14.978738349982986,14.306090935545688,17.716574362046472,19.737237714344225,21.0125726339584,22.842762937705626,25.850670652197167,29.762394450158318,32.014309389563934,34.95538959319909,31.077437869524086,31.749843482069362,36.113462235041645,34.81796623039987,32.404453502694594,35.20646606334272,38.89088138938078,40.588059411752965,41.88857240430019,42.438380151013554],[30.22782290402524,26.73509639675003,23.108622743330912,21.536946572021424,19.14614136333932,25.676331240143718,26.125427952027348,29.650387352855827,32.10746007176156,31.942820042908046,35.71366038554593,37.70675814673188,34.364790818404124,34.67547087592628,39.04242558467725,38.45679307004903,35.025865382469505,38.38125193442045,38.62270525748804,38.9982532873361,41.279260446459695,43.40739299186793,42.38229170449947,40.43831104592486,37.39652152939229,36.532403692178775,34.07832790215753,32.95082600854728,35.853351195669205,36.77921399436513,42.968184125509744,41.260875214951945,45.86092662268904,48.1543456265674,44.1063933376553,41.415707829650565,39.172871196146986,37.196184361104194,34.50875861650136,36.876462356341555,34.61165516968785,38.388582440398665,40.91081327678722,38.50135723439755,40.20064990110113,37.45572768688627,39.74821374981915,39.723309395136845,34.327531893342695,34.51475399184662,38.45219640790449,37.184039677963845,41.115218912199346,37.77393512740097,42.506202701330494,45.80618369544331,43.746639415229986,44.446364316517766,48.694015496820796,48.71075269031463,47.216277622754994,50.68889715297974,50.542044497347554,52.245580250158106,48.542331746336416,45.529460976647385,45.03585136991,43.71551025780802,42.6435609719119,42.82943988034244,42.48488976445684,45.91097366707007,46.92720461308889,47.80273942121082,47.13365361694473,52.551859401560066,48.71604556908385,52.04230947597398,48.93020791883487,47.473538134979975,44.867752578811015,41.47599298119554,39.84807623182496,36.73063003004876,34.42024646647385,36.70036185991708,40.08881618831222,42.487100790375955,43.7839858590357,48.77783299667846,48.08207811013075,52.46026380795512,50.31767377346074,48.89574122185064,44.79997017961279,47.14926340235541,43.3746297123056,43.814925421584924,41.31404194632183,42.826840868162364,41.238065373484936,38.40704347063418,37.77802113632739,33.96806113083064,32.20431762308516,28.403407378202242,28.283944862748257,24.253860837333505,22.605681878254327,26.268924649894608,24.215917268612213,24.58979353166329,26.020627679535004,24.37812849825439,28.346222499552233,26.484968260771005,29.891327154668126,28.418307804589322,34.37572025540604,35.08932752948829,33.53160344001908,31.925068669585468,27.77716257331737,26.101721456817216,25.314773681957696,21.223675051820155,22.0969276088059,20.246879694626408,19.647547115739858,22.273635165535214,17.098436909934424,19.984548930360575,19.17950258316931,23.72963230654068,19.04207624567134,19.23016354614132,13.91360949924183,16.90012135441486,18.677947784439006,21.770966506529366,23.186892940300364,26.752454247669785,29.022544234986935,26.895096971840786,29.16276418224372,30.725861833819923,28.186540656638936,29.636843878547424,28.685563318195392,29.761246522299025,30.40243734845293,33.94438333147781,36.85798207568229,39.96737099461283,41.050824657609574,38.99973099103308,36.407499967485535,34.11075301881674,34.37672100830949,29.978683004310387,26.652616125151898,30.57136487230416,25.77598531884036,28.94090614015301,25.137086051090183,21.119242077839587,19.528960542326384,17.878657794635874,14.075689029859163,14.88515096090438,16.26383534560393,19.271520450349925,23.407229694649022,26.711545989399703,30.245028512977473,32.82707436014954,34.72453763819564,38.105614137931155,34.87643743213963,34.322286250541424,30.197004593644078,27.743787337797407,27.145173422760323,26.82349718800654,25.20412923084059,29.753953913703672,31.758395449494955,33.51190022284508,30.153279083890265,28.623061867983086,25.77522275189514,24.66863942882722,21.06179764667221,18.699682118850422,18.388722846125972,17.052358441691833,14.482320965923746,16.732597559513955,15.699641194643945,19.237127690318967,21.05393353762354,23.87960172249028,21.168296041422114,19.12143122889493,23.44026963020323,23.787754862618677,18.97588527010839,21.994043523698483,27.28155378591163,24.731096110273846,23.947127551259133,27.536369708259823,28.961930089451734,26.379822486133506,27.399704150620984,23.96019627733366,28.75508533203458,22.518560178657637,23.167862147137104,27.209267419319364,28.085541565960384,32.762462567965684,31.82920776694008,32.786174643577596,30.338293768218872,32.095488224073144,30.314791406247206,31.370475186074824,29.78820520268216,24.723984255499566,26.262918255893457,26.566863314300182,22.565109136319908,20.917210194100544,22.499216511160984,20.42134002634788,17.156173274035158,16.422183744333406,16.991978257772995,21.5450527813827,24.46212150620552,26.619646369180355,30.085953741808243,34.30917438169639,33.227802624379855,28.53542475787266,31.917086619757324,34.80406492786907,30.984772566573774,29.25004794596165,33.69514484204372,33.97014651489703,30.385627351768363,33.16838367228193,36.04537822858924,34.07289025264368,32.44498425824947,34.872716835833444,31.614339021888664,32.504193508649266,30.320830688237102,31.15694383285899,30.943661888948068,26.158334471393417,26.188331363101817,26.596946552364788,24.64150911850176,20.929346151847195,24.052586081134137,23.26419006491848,18.710641212551575,17.819061819486357,21.236972483770106,20.073405427384706,16.73805861166654,15.134490183022642,16.346634293524094,15.547558323733451,19.868722743878788,17.701454424934692,18.331813117105753,19.956156182231275,17.287101439231975,14.400374299006758,12.128948231139525,10.59743508156875,13.996944119067834,14.937932167529265,16.23103273069519,17.60048538341754,20.883694555256053,24.80288069310668,27.28932225119601,29.955065418387868,25.983579479453546,27.008883876056565,31.288826853835516,29.684375817882792,27.561512235606653,30.619017463610724,34.19135052768879,35.92777631580052,37.32377136065095,37.96572045257959],[29.282682719352184,25.9167418305573,22.747321213386254,20.07574433470304,18.451998105753642,24.66154778879879,24.977238450014102,28.908881660819816,30.707952085827092,30.244414527806658,33.95611961532757,36.39718188688145,33.00841217125957,32.69279274606709,37.2850540109944,37.04353347228878,33.40153126730079,36.70119457241992,36.644103556951684,37.53450830115136,39.69477203932867,42.16984820711215,40.93524309459817,38.78360579126957,35.963242434183734,34.738829578181715,32.652666044894815,31.415113867496988,34.54891611102508,35.789894782727316,41.57559934331818,40.42630877027454,45.00799419933388,47.272083734591796,43.37231955057285,40.44598505225433,38.66498063367174,36.44711086969609,33.83473940556472,36.790471976408455,34.06497321761624,37.335243304162894,40.142707796280334,37.625416468122154,39.06042914131896,36.19520770168573,38.7881259212398,39.03927757223147,33.57799085486572,34.18398609476637,38.40040914555366,37.51021860169954,41.36545565484825,37.749246041373674,42.80803432982199,45.8665399306528,43.35121502478766,44.16343289528161,48.569805941250706,48.27330335816435,46.441680543597705,49.83158319728014,49.62738826887366,50.991085888397656,47.333674659448825,44.43841730032467,43.34894099461744,42.08475831850263,40.51240413285339,40.69688567955631,40.048532130451015,43.27684427031302,44.683325592938,45.69133545118662,45.41195145817538,51.064709330720824,47.535186642029856,51.08243628964352,48.22251396012649,47.013460022597684,44.73875300299915,41.600290732799,40.33187955046678,37.396437583120445,34.62790068781545,36.65228365030659,39.65231738095215,42.237909168493964,42.96024960542332,48.03578255983716,46.91890757038716,51.09814645466275,48.87882168626282,47.580668604546005,43.36869951916779,45.517321740676564,41.62643443057716,42.67973254487002,40.340564017490664,42.29095702820025,40.83443469282665,38.56898613743816,37.92083826025032,34.609760348845,33.40296728969133,29.49860773871025,30.06571319822955,26.270332887819947,24.305285472522037,27.574198570841983,24.84292406184332,24.725074201974476,25.3786531714799,23.404461261180714,26.792443996593875,24.586467799898898,27.96936957684196,26.12360953327548,32.05506586057787,32.98954139871472,31.09321105340634,29.596885902722025,25.170052368992916,23.8420409142543,23.431393312397937,19.887363775685063,21.597150040705266,20.239366837391962,20.50927920463974,23.602246878640845,18.996189347615832,22.527445432751435,21.415412696123994,25.632948925856454,20.3559278774201,19.59694923859552,14.345351225053067,16.06861182150701,16.8845941067018,20.325301371187326,20.951351688417937,24.864908329315675,27.2369722071454,25.358989228228538,28.107886351907517,29.69866094535157,27.043920506959175,28.769880903235276,28.269058530851627,29.082682094819774,30.32464278953361,33.463173103684056,36.89917221355721,39.674728923782595,40.52379541617434,38.71495830624926,35.88817457381116,34.09649278773043,34.02609616716518,30.233185430705145,26.732842296827013,30.224127007286352,25.148932127228036,28.728133023625265,25.271207383043766,20.677160671809407,20.15503922658907,18.480209331473038,15.019499917685726,14.726414622615293,16.734457613974982,19.076998349098975,23.803162294282195,27.2189755598773,30.624859449323825,33.41845038020274,34.73394054538146,38.6441148598288,35.38546720890027,35.266119365985425,31.124666295276196,28.84401097655084,28.840112178854824,28.701542885833252,26.568469760553352,30.697132772184514,32.06709924878333,34.131579589014926,30.26206608327335,29.469175411389898,26.882612627822027,25.835138721162426,22.836260996339544,20.789665493598715,21.052831241637335,20.361838974516527,17.40206479564975,20.025037645650027,18.8180680788957,21.717403225574788,23.97473523758077,26.204827470123675,22.994823259053415,21.384033064903115,25.78685936111468,25.334827752873544,20.17995101707087,23.80210830370569,28.945838766259723,25.487843728219673,24.799465503693988,28.62678437467282,29.507252170130897,26.42267590968203,27.8786779082614,24.651358161412208,29.97728719100321,24.13168881173874,25.138190241564224,29.316623900205286,30.873853292538847,35.43307836222742,34.9725542681524,36.03162845455277,33.78163108130263,35.71465322737493,33.79565354244819,35.257001552365715,33.69715688464773,28.34709248538237,30.077044894989005,30.769765818713573,26.653900390233538,24.887243031358985,26.68731832882578,24.835802924873636,21.37019840779783,20.49278919613357,20.603342866753373,24.84515194621863,27.975995414946905,29.830745706168877,33.13842156032756,37.30049187348283,35.85391381538491,31.167288608769084,34.53221400383166,37.093673871834454,32.93184014131351,31.30275142312478,35.554955489739385,35.435384381045324,31.781052608872123,34.997431455182365,37.54810836533432,35.04168305362746,33.81967641832215,36.60973937704879,33.58148599019519,34.904443710646845,32.877811534716265,34.17386565498445,33.66056839802928,28.557360762063762,29.23345045401653,29.725130718314887,27.402838265148535,23.97721829044852,27.662519281435426,26.530263718980205,21.65345425823013,21.470481782067107,25.043764572914124,23.39720762824659,19.790191410786278,17.341263515369736,18.656103684226434,16.78897248792805,21.164525629004803,18.22763609259776,19.380029771973895,20.113289304215005,16.881597904201747,14.704401481492345,13.149217004664234,12.278842120717798,16.2576360230988,16.149363807418336,18.096481330839723,18.2185241690097,21.502977494945682,25.897995588262894,28.605770221992852,30.801182354668246,26.370157279834004,27.588247489178535,31.757612769670196,29.542038577409247,27.198227594586132,30.68775801489674,34.05758287356548,35.763378033206074,37.1204256343798,37.94013307868996],[27.81300653209295,24.428514177437798,20.977111329976566,17.757267040597515,15.31664691371233,21.34432125502217,21.02275139755503,24.846691772312905,26.555431056101078,25.735057789368575,29.42147915591745,31.874264126144713,28.227496066882058,28.0070399843707,32.47530731861282,32.14384861921443,28.45181463496085,31.73140203457423,31.783000411406263,32.62005056168257,34.90856735945117,37.4582643032602,36.36141520064982,34.38246076809443,31.394652855825505,30.033235864150356,27.811974145917812,26.45475237463444,29.547404250109494,30.81610304019985,36.60250298106777,35.51144165710792,40.09994761335563,42.296095598565664,38.40270630948173,35.45065716585309,33.73401851373354,31.51893742970973,28.98341010677097,32.21532745711791,29.47404960145419,32.58423444147443,35.54723192905606,33.198732405733324,34.84332168754671,32.204039350179535,34.99017258827189,34.93284063160735,29.445874068228456,30.469983493406733,34.51415013697178,33.631576742278284,37.34217197090122,33.443235018539376,38.490196152205186,41.62981916258523,38.95746132146029,39.556636646691494,44.05878981145939,43.876131453540786,41.81859134630869,45.064407230278064,44.74560642479713,46.1903832624262,42.5990836222179,39.58965343357664,38.498151014348934,37.13917205635594,35.674500173853765,35.83770644684398,35.30230032596842,38.63272203712026,39.86489579796484,40.85806313577784,40.45942274383138,46.10093488971707,42.57572580009894,46.10304922601945,43.28503875665923,42.176129417833636,39.93025726080835,36.94270661845801,35.74809036637258,32.987390725662266,30.047317227238576,31.882152695837462,34.80431250148349,37.36393831187374,38.00176007864529,43.05730750741977,41.915430863815935,46.101372380077464,43.89954177866337,42.63273600129,38.466253897666746,40.696799460263286,36.87937255568303,37.87738881647576,35.64965764989904,37.82636838663178,36.121449716159475,34.147910881486524,33.28165695204189,30.294596619301895,29.271471593041998,25.46865380178505,26.56091647964663,23.023026673194874,21.149975476268466,24.02135666383149,21.142327526485232,20.38234521730847,20.932181665215406,18.623960204345213,21.931570037750706,19.674353389585242,23.034655574208454,21.336354043234042,27.32694838752819,28.10998986254209,26.33692174291538,24.845660358230447,20.52667484582822,19.162737504578672,18.930834048866778,15.18328224924624,17.572717279034062,15.984770906199094,16.715618614991016,19.768297712659447,15.842260367323538,19.792313502531947,18.36582178509359,22.11741671850333,16.516053850907387,15.148538709344043,10.229103486071601,11.181227770203408,11.905309708609634,15.3726644212265,16.3834847269734,20.46093137546741,22.507373600164648,20.466830428453758,23.25074787364162,24.720425172027063,22.047405221628722,23.847552460668535,23.523552319517538,24.50621084061022,26.08808826541567,29.29330282996917,32.895429677658946,35.8841548310243,36.351520526576444,34.37756742152211,31.354543479774556,29.681675093308737,29.309823795984666,25.7291320297042,22.04570730397791,25.35270672759084,20.277412576108574,24.017672566144,20.8998537802628,16.413464440464157,16.38637719127313,15.432556326517524,11.997357087928554,10.640336643813368,12.635723086844337,14.450757950216216,19.366733182805707,22.734473954443587,26.024229494676383,28.892885618123515,29.966846324594336,34.06127442623497,30.822169879766484,30.923697886635463,26.886399036490847,24.653757476826076,25.13542342110603,25.292674131033547,22.82044585386227,26.785345122246905,27.807543681061574,30.23962778517928,26.52530967586828,26.11197180407419,23.964255608375407,22.461475475109317,20.002353553729073,18.011256902689958,18.682874383532955,18.715256374206398,15.344473151511707,18.412418525048388,17.56376091041138,19.608168389300467,22.742893579517045,24.320600479390443,20.78866155610028,20.29619563072177,24.772906172075626,23.727623823479462,19.17273328011388,23.35227730696835,27.956365093930046,24.330645622343827,24.354400001309486,28.277023414484155,28.502935457508492,25.768844514969302,28.00583495184763,25.03415350678717,30.458114099735162,25.568233549083562,25.88429830714946,30.02936938366255,31.936589714407745,36.66105854014848,36.15902948367342,36.54083139721929,34.04926886272379,35.692911095611436,33.161126759679355,35.02054933499813,34.040142704825136,28.24982894081425,29.63300936129419,31.121182401832197,27.255767159893693,24.8320375387003,26.558823597132,25.82381205084143,22.338872078210123,20.210404631261337,20.20185609574887,23.30195060478166,26.76759578352106,28.64718898350967,31.465454207459626,35.75770372229726,33.69310026174742,29.227174151591882,33.041735647659834,35.09416826661591,30.63615275667611,29.63488376430075,33.864378874787874,33.48929542913425,30.16006486996028,33.85915178919667,36.2124191962001,33.59454346296558,33.00974294409541,36.025413660676556,33.2054917907568,34.41827672193006,32.04260321864972,33.80662903451014,33.734361361454276,28.309132548351634,29.01875805861134,30.24659589573845,27.981893955209713,24.227909992358054,28.524291815251967,28.054035593383805,22.877387294499876,22.505302194386903,26.822390823627433,25.696964710705934,21.944362421783737,19.120822384821608,21.584059591141166,19.559280907055236,23.33851274770167,19.63375749963088,19.859889480184762,19.627374257826958,17.22356797814768,15.11657774343551,14.673334775787525,12.93709696776405,16.21125870216052,14.410976941358584,15.908627938020402,15.006515470974422,18.990936636266163,23.05307175747739,26.161275282978632,27.755748962866864,23.33733569151913,25.32563789829391,29.214361840998343,26.353934671497036,24.71846753866206,28.64205666431779,31.716323161430992,33.42952841209998,34.886234751289464,35.80205580677161],[26.94639449393343,23.40733763578316,19.497009511842446,17.653134141900804,14.599065214238692,21.106766194901315,21.28231937893694,24.730058553420314,27.232540263246463,27.062423613605024,30.8350382361874,32.73229301412205,29.431623652263564,29.893811430055248,34.210991058125195,33.59612196932381,30.319799144621285,33.8450338800497,34.452963022233156,34.82201480756843,37.39147046488599,39.679055209403195,38.89670569935918,37.22157485808376,33.93617837124833,32.801335591170975,30.112344137818063,28.64192052168153,31.30363516579023,32.01697579131929,38.21392661179823,36.38811595180803,40.968495623088764,43.38795348061849,39.40309363603891,36.834764110043494,34.52006348924047,32.87608789812603,30.392652976756136,33.17662008851319,31.020607984371896,34.583495317462535,37.36160381924584,35.248590408191426,37.27582992880901,34.846916431837116,37.39087233108289,36.9332275852887,31.50064420910616,32.213790194841096,35.88504228779012,34.53568286348001,38.28762734010917,34.553655374876364,39.173986148167224,42.70512374179984,40.485205149359565,40.777442815838775,45.17240728009934,45.45379741454135,43.616681030946296,46.8173329614252,46.41231748487453,48.32052075723923,44.759985849014136,41.504814607938116,40.96732306699132,39.37357294554957,38.40919628843943,38.36056191154173,38.17606615761678,41.688119639284906,42.52230281350493,43.57018755314789,42.66419690546637,48.14367626981006,44.381175476357875,47.593996657362894,44.577618283675655,43.341080467215136,40.62842451358315,37.49824522414292,35.73765355707642,32.938668914749556,30.52655795781876,32.459826627334216,35.897017385535264,38.04066381908151,39.38694536918478,44.19502865944089,43.47821381185337,47.85210375502984,45.597406343529535,44.06091553997397,39.935205512291866,42.27039945191209,38.50364639432798,38.846321049222716,36.31101059491338,37.831090244575506,36.28759612294678,33.53210090570468,32.99317042332127,29.28214289767594,27.91520648542426,23.933712891610867,24.237472015320535,20.399375536880367,18.473547022408578,21.874087244432744,19.51376927919796,19.702135589114118,21.020083975019652,19.45055654228496,23.52527335677816,21.904992238469887,25.454693837255657,24.39676858858349,30.427833890016036,30.729177700004985,29.22545657569961,27.419922921351436,23.47733017891419,21.527025350492668,20.534476304562823,16.345608078010265,17.166557156960323,15.31651113296235,14.988695126233983,17.977649858497454,13.196587909210937,16.7745056837488,16.08489789601158,20.153649464258436,15.198013034176874,14.727002520975988,9.279768006727767,12.364882022284347,14.412348748460111,17.591084791139593,19.757889020272366,23.583410306105197,25.29790037304323,22.848204067393837,25.137407379554038,26.29102993913405,23.624880417046114,24.817994836822464,23.78186579895034,24.758892389108954,25.4694111806773,28.99725182653473,32.00827027011785,35.17750698481326,36.112500099203096,34.03726232858567,31.408325174618362,29.18642292115886,29.451603178809574,25.179723374604208,22.016145066632244,26.058658726668305,21.5169763130272,24.927389389199643,21.619819887544292,17.988300779799992,16.688643586196083,16.066136229516314,11.963475490641954,11.764866761976545,12.728725565708558,15.254727587991493,19.491939249191223,22.612028310742627,25.967865075399278,28.426189816055594,30.083138487813613,33.70709726006683,30.702612001482656,30.28081370816026,26.46441852650165,23.594897534822056,23.74675415441995,23.949859186488588,22.06265074994608,26.72555512250468,28.455685889521554,30.71698525216633,27.72238851764218,26.50192479442906,24.140425011443067,22.32819055993672,19.138142723309887,16.518652987617674,16.371255204909,15.531979048284713,11.93739645336144,14.461048870379852,13.28909292990995,15.921387169468519,18.55018582750891,20.644824182105157,17.484712868946634,16.37506667657438,20.848773839814267,20.478853692343122,16.01532540029039,19.71511635134677,24.54502513698315,21.669753516810168,21.522580029897178,25.26647608240218,26.053903343120968,23.73355186755084,25.51611469854099,22.323097171332925,27.320336130687732,22.149304770997823,22.13462335667468,26.19914261271916,27.67466606579316,32.505797162633264,31.710030661386682,32.021130810161274,29.442599658389423,31.05681933654702,28.678630264422637,30.377890588008114,29.290663132528042,23.600520845240244,25.04114031395044,26.38428630229924,22.470975077849765,20.1460160764536,22.00850689306149,21.144638927716333,17.6071493258811,15.768919037558883,15.609743752307176,19.20883297378423,22.485807833499475,24.385839935246214,27.465045659281504,31.735509329617706,30.07422882260643,25.47507793168809,29.151878578951646,31.568119315698105,27.399497161693684,26.104804564395625,30.505323881979393,30.489588191010988,27.103549896992764,30.396557150731887,33.052605487364026,30.881962922954326,29.843860406185623,32.56162779145173,29.52944276030882,30.457251339722905,28.01938970106119,29.46206032681906,29.516771567198603,24.284340071718617,24.614977043412296,25.767448118249686,23.701607851700416,19.76545628126593,23.835005895622057,23.57986905341774,18.529545001972522,17.823494803036887,22.19157544850566,21.383234315931656,17.74765749374068,15.333318212107638,18.06110124824038,16.72025393722939,20.289682753435358,17.086542744799086,16.781444865265815,17.392525118588452,15.485055658393467,12.635902000427745,11.7042242801263,9.279390400907563,12.125740214147067,11.258474755380307,12.48034149817071,12.985266153392999,16.720001549771826,20.576355880502398,23.378172146107513,25.618497660258335,21.547330841003117,23.091459992893242,27.206099463503342,25.157458962347256,23.470361501744527,26.859459641789023,30.240697149874933,32.00309619520531,33.496094747898816,34.23996687993686],[25.07185783258209,21.594732052557784,18.111595542759023,16.2801085519876,14.363169373084764,20.765498943472167,21.55892946608953,25.302050886361247,27.587671474262564,27.793854433461956,31.576289568730882,33.58879261415915,30.720590927680487,30.853737058968736,35.44011415810561,35.11744054378618,31.977373120749753,35.70847130414161,36.42437559683176,37.14222515855814,39.79921193673846,42.339670827180655,41.528619652174605,39.80263527575842,36.58046523582033,35.142219105939574,32.570817191600185,30.81684510862743,33.4037308592,34.008053864997066,39.98585464663788,38.23067705504462,42.752598279016404,45.408773070145465,41.574552802483616,39.071274355698336,36.83176148304038,35.43795672718431,33.119883375680054,36.26274359238468,34.014739384972415,37.302815796549865,40.28727204735745,38.20752616162149,40.171392021408714,37.70709862222641,40.40136794694106,40.03668048199603,34.564158483056666,35.45990583047474,39.210946487447785,37.94618567018273,41.65831812441782,37.79701994642999,42.44701468988351,45.985443047020155,43.61316930162748,43.81613567217426,48.29754970159822,48.56839670277703,46.521345646595364,49.584603375455835,49.023964848136075,50.88804514535614,47.41318457283634,44.10270367147534,43.21856670511917,41.46976149898763,40.21227185228311,39.912880031444686,39.59513285336361,42.97757968905418,44.05116354034051,45.39926985400029,44.580874115077705,50.2741813864533,46.73956762204349,49.95550500974935,47.113623353077635,46.104094510424126,43.3960382238947,40.47798068472315,38.6515362226233,36.06255467369731,33.583109744475195,35.25957194879414,38.64249240064705,40.62103588049782,41.85359242379032,46.50718876577877,45.59407261084884,49.853789438402345,47.39908423050711,45.737038935889295,41.44517079121091,43.53251576280567,39.59602574489268,40.23002717273129,37.570452044490786,38.95949839171102,37.95299440725447,35.15154197284178,35.065519387367424,31.285156947439635,30.419652049778122,26.121475799162035,26.425262785083707,22.66946293959919,20.18736276603805,23.552645009982434,20.760366381361063,21.445864785259182,22.23272495222056,21.044847190642994,24.945605776143285,23.436214905635516,27.197990525443192,26.16195732509565,32.249355171301815,32.41602978044853,30.5912785465503,28.589244529160787,24.513310858619917,22.48709015822127,21.2385189280309,17.631871763028094,17.98406495984506,16.948108254395084,16.861058920265776,20.447047708338307,15.715058997263704,19.40152016440614,19.226606061829262,23.118542506350245,18.304289722994252,17.426750705854353,11.882670636147978,14.741837984433417,16.354304176647336,19.894980743322627,21.839854051243375,26.002150388816517,27.63104197330631,25.188054838160205,27.75977425168316,28.651850125339262,25.803665805664014,26.77226302227273,25.672717848587336,26.09258123992631,26.705017744484177,29.81194045395573,32.923428723030526,35.59550255122842,36.84912190347478,35.16478902884687,32.70407403709774,30.695938514954832,31.241277793955874,27.21363427117384,24.472484280752337,28.59331388277725,24.19030861496687,27.86066906330082,24.831598197562634,21.12631040258573,20.140428466666002,19.50475221922798,15.461897316843087,14.985886078575877,16.04061383117823,18.231831281337524,22.603591808632103,25.598672875900178,28.79258818670157,31.077089647977882,32.48060797273348,36.341011504392924,33.58450403929403,33.20940902740615,29.632333519610192,26.411134459810864,26.94336119134987,27.330946744276694,25.462375890419686,30.15397122824027,31.750883242375277,34.15116661261715,31.087013509001764,30.020745301797916,27.67955382163052,25.872169887633177,22.704581508966093,20.027589936492376,19.712701722533392,18.546888016262155,14.753471546105454,16.69573808292289,14.687988039950996,17.33186898009538,19.320176294051507,21.36186376620869,18.149248947925575,16.349014456390314,20.70695719284705,20.17730444501867,15.015206877605133,18.659598842054383,23.741493187765823,20.399005637893634,19.79261286170374,23.598996329139137,24.516705843971685,21.710010028185323,23.222488596975598,19.992854335357805,25.22794538094987,19.82051885743693,20.3841559969145,24.554021604412075,26.368558627828815,31.014739932291032,30.63897985825091,31.44054204807969,29.252584988902026,31.2813152334508,29.297830838841588,31.173494657804998,29.628072772056385,23.997215282202852,26.026359093470965,27.237120784637433,22.966821428480827,21.11374351713468,23.492988128501537,21.994918524187433,18.135014216290315,17.515348435195705,16.558769209145353,20.923626772359047,23.954881853725528,25.298723888986025,28.651956865626527,32.6117833599704,31.230906517009604,26.478301086544434,29.579751000039796,32.138066516565395,28.007951128518997,26.197483875799644,30.3912564504482,30.287087119701965,26.5940499856886,29.78632233375597,32.3375631771205,29.904327663579625,28.657641291308302,31.451752292673188,28.45574717564183,29.804475005023054,27.806815654118246,29.30114603101554,28.742478594735154,23.50595663728029,24.418183527067136,25.102759665898198,22.673275557528896,19.283436850537043,23.4816407984879,22.492756673179912,17.32710682785286,17.49224376034888,21.591418871902604,20.0635394093716,16.236673478369973,13.284847981418729,15.787785914544989,13.814297825375967,17.518880927165636,14.177204016285494,14.600310241950151,15.32561063952332,12.674042019227054,10.09135780429591,8.993690043450789,7.588656218942226,11.337416393842041,11.167260225080586,13.474170550739437,13.902052695882183,16.666925304322344,21.152612398471046,23.642353547515278,26.099805144545456,21.7374575621482,22.62608753779875,26.877666794740506,25.10242417630656,22.64180083493051,25.860746237232174,29.373464601657478,31.111163802144365,32.52636345868553,33.30683165973746],[25.593804869419024,22.198295006385834,18.98901093433146,17.994000318268885,16.712424658058683,22.995307049824987,24.32405078559783,27.998929261753336,30.435818172082328,31.029074066477868,34.80642757769884,36.684967770047535,34.12583846369295,34.30681325074406,38.9394692623402,38.64845858022718,35.66136268464435,39.48028851101412,40.28766816554793,40.988588940116486,43.668212199222666,46.16514826264005,45.35980803919336,43.616034197974,40.405792493464986,39.01944091148306,36.426163103644534,34.656753291273574,37.15774342954753,37.60749481632868,43.61751861777823,41.67973116178995,46.16446159633645,48.94921078827485,45.131256927027046,42.75119238863112,40.36415931991599,39.14856173308267,36.84037460224783,39.819534773489075,37.69441965088912,41.10320625513065,44.01651048489864,41.9212767025707,43.871714491891574,41.34762203603128,43.93512217678933,43.628776860727996,38.16639959939867,38.849073835145425,42.60094540994406,41.2406587601812,45.01151639418944,41.295683824511386,45.84744442313233,49.44325042844402,47.223481288672545,47.42971399152242,51.85400064393209,52.188643152851164,50.255498775383856,53.344751096783746,52.782974111606784,54.71724449587853,51.23592803480279,47.905555771226275,47.08545338946597,45.29528503703088,44.05073587982126,43.66534930618978,43.35383395358039,46.707213631595685,47.80905338699806,49.23543796602832,48.366149915265424,54.06428485516765,50.51741146281695,53.6616600200198,50.78985285305587,49.74986633879917,46.91853663237236,43.94648362682745,41.94097482591703,39.315725616808415,37.036111792384204,38.767426358741076,42.28453520963434,44.13871394413376,45.55588313299923,50.11856354239197,49.28469375235374,53.55886086629295,51.04443938733564,49.27693781149658,44.953150806371305,46.97005604697424,42.99248931502495,43.54597432318958,40.74697500387732,41.81922820424907,41.096587888348296,37.96865270265527,38.166246036768015,34.074339589893974,33.14716210145906,28.759991215644348,28.591662399202008,24.738732703313953,22.154845427441288,25.747756991186098,23.16151194965383,24.453597559546594,25.34432261003909,24.533464571120884,28.537860708679037,27.188644909528772,31.010331106015204,30.027289458753994,36.11656999699084,36.22879437583887,34.35481538365591,32.261339985587,28.20351116881295,26.093307312790866,24.611916388176507,21.163327867481467,20.84788384470544,20.038276381069462,19.560345281179963,23.123295476564454,18.064737308805398,21.294159431779473,21.57523467812872,25.62198386863457,21.251049197846722,20.773297923670288,15.21648744483008,18.50161723003474,20.232424196475286,23.756216729021048,25.683592024899937,29.803679735220854,31.504999340971278,29.055933982024772,31.566242034549017,32.41153695549746,29.555958342290293,30.337429407061634,29.013968121897197,29.25220185683404,29.469771495293227,32.485452480933766,35.333924645044384,37.7993435999045,39.432522652059944,37.90649071570084,35.70440360622228,33.569452153070316,34.46217381919641,30.268955313187035,27.835897239273518,32.16177996079065,27.902588329387363,31.464254731781658,28.305654532499364,24.700028251330032,23.35382383239986,22.48548003973325,18.399302683902928,18.462672421186372,19.402689914875317,21.84557936008333,26.002019589958344,28.921387865842952,32.1252167449534,34.23026113429805,35.82295480653836,39.50243004967888,36.86044907273951,36.26896259054146,32.771104753870254,29.356744669933487,29.64751815559217,29.939063035943335,28.389364577379173,33.270503365700364,35.14745045125503,37.364077908293005,34.38825060221004,33.01157296560154,30.452464309208562,28.789857146549203,25.270906243717995,22.475376441209274,21.756052368614903,19.977228993446147,16.4810871763646,17.75362410077928,15.302493221079493,18.48749426464346,19.497284933387363,22.014741011352736,19.23611349089021,16.419880784720227,20.500331916636604,20.55771865773918,15.093322429548087,17.96568409946046,23.4088425354482,20.413962843561578,19.15763103127615,22.74266377100451,24.30705006927547,21.371125249749376,22.07294940955528,18.64193224577265,23.608038755753892,17.409825246712735,18.521357151161602,22.65598219844255,24.167270404018726,28.65251068726774,28.34289112608691,29.705272321951444,27.790783183184192,30.10466376845792,28.702222938216682,30.32050584770153,28.253155901417973,23.039197269357974,25.465631231863867,26.089117727854465,21.58890348232663,20.398174598995105,23.002547782117276,20.59796788805176,16.67959008830422,17.456759618657863,16.253203736043893,21.55087904390687,24.15594458385103,25.280777140544025,29.015728626026686,32.729480378614355,31.936958334691234,27.07018730672051,29.628885387240516,32.60058103715769,28.823399733882216,26.44624184277889,30.563523130402515,30.706784450314704,26.79310020794489,29.45763600175103,32.160948678804765,29.914572241854057,28.08048026483263,30.60670417854395,27.457141637491567,28.88272986136829,27.25080149279124,28.33397798809923,27.350844527438912,22.47975946269271,23.405326301893687,23.412298304695344,20.926752918412298,17.95976626017277,21.630866415323943,20.017596674199332,15.127398805563603,15.648409997978211,19.10398231463418,17.063995441135113,13.313796508277179,10.627612651358213,12.296427161540187,10.484500207343745,14.594733535753148,12.096649615599377,13.251385706299184,15.06150872314135,11.977715542580397,9.300415755691336,6.8665823968104585,6.62928469638982,10.6829810208543,12.347087586634448,14.90449137724808,16.234983432283837,18.148075674884225,22.704361619768378,24.70997965247751,27.685121913565563,23.47749958992534,23.60424097158006,28.00111078093014,26.935695456672075,23.957807766171424,26.622321467207925,30.35238113651724,32.061769475576256,33.37704157842446,34.04140509537603],[23.126846282964422,19.8838809205938,17.280591864658696,15.778694013571998,15.69597965337496,21.522499913389282,23.184833315958073,27.14691116842443,29.134875474579463,29.896187072951886,33.60944419884831,35.693988114195825,33.476402903701064,33.22869329049757,38.07812710148808,38.119630201951686,35.226392802801485,39.18273024219909,40.059401978357585,41.171595855756514,43.93191469382311,46.7502682814637,45.924312910117024,44.15895271923764,41.0179488100559,39.24271507116216,36.80882387271464,34.73378547282457,37.173443830328424,37.59957430760632,43.26589150878129,41.564878265638924,45.96781888761503,48.926776617591834,45.30572099026566,42.93063723242806,40.76024671290987,39.71932334384632,37.614829594229214,41.12375004955107,38.816525614970494,41.79618650148037,44.99842182077301,42.97519278144969,44.87393266785727,42.38384196252875,45.22534270231222,44.957680000737234,39.460742544559125,40.53273962962658,44.35129327428007,43.15797260759322,46.823786564263195,42.83836957886828,47.48766133902999,51.05175698327387,48.53289900585236,48.6143267373178,53.17963649834713,53.46240493113981,51.18478653677377,54.068518735613,53.31300609259379,55.14468287652618,51.789554105669,48.411361753836545,47.1360014599599,45.191113891402495,43.60323604824884,42.971806958200375,42.5051357956975,45.69427281782029,47.0498103400657,48.781043109164095,48.04966637854173,53.972075819887834,50.730862734070854,53.913697572959194,51.29116146486107,50.558715287810955,47.83523968522812,45.17420821609747,43.2364454513281,40.90083076129043,38.391091928392086,39.77111849409007,43.10487125090871,44.84338326092069,45.978724009754785,50.394639801056655,49.267746247815175,53.36786301022758,50.66337895192142,48.82893637239317,44.36032275564401,46.10585040706763,41.98930310868959,42.95299595599121,40.1367571318469,41.279313322506425,41.00576234742988,38.115146181086835,38.63240696816194,34.75520713445442,34.47720768285579,29.85507083325323,30.08316987336869,26.47533561071394,23.420974829386584,26.68305283451069,23.50462855688733,24.843242927803804,25.025617105821993,24.393308331773405,28.023943940019947,26.729386319082604,30.668805304837825,29.713760211895142,35.772605150809305,35.74296394025388,33.56085900295223,31.32998753292455,27.212586015027583,25.12222129843365,23.54765768712192,20.786071102892947,20.43867799496929,20.395758529454955,20.494022767074775,24.598579247178577,19.99547452429799,23.642243996292894,24.04936680770069,27.733861984254723,23.179930795899136,21.986616990221147,16.515731139023266,19.163960022249025,20.348844960141992,24.142158360449457,25.855317622730908,30.30302993402155,31.803435831670786,29.381602983334073,32.20954548792113,32.77690460640928,29.76141090386219,30.410753108366812,29.207233204034598,28.93521618752924,29.33698587040409,31.845107243911006,34.97288493584759,36.929188471605904,38.64645376046158,37.50728522724776,35.342471703119635,33.60006312932243,34.54200881695698,30.82594547616977,28.66212684263148,32.863869580763996,28.702837871760394,32.596128949832405,29.871257759261315,26.156925876000756,25.40814658784521,24.76050876675566,20.76020013081274,20.129665452627318,21.20976896802041,23.11098918868233,27.524900712764747,30.345752661770433,33.3377441788229,35.37133906903418,36.50583768716914,40.57913474921441,38.15243398194392,37.7941969465986,34.524445063222394,30.896380013405032,31.809932178864255,32.390249870564524,30.594931648319076,35.345757096707175,36.84127531306406,39.3740989371901,36.27311577419724,35.32165618511699,32.98218002865348,31.180326802565663,27.988588239343507,25.232191641698012,24.702833006046585,23.162326197188467,19.28179882547645,20.52318177417562,17.685431803336236,20.241847152417556,21.260514407039523,23.195520532833893,20.121082850043614,17.433073738220887,21.34277411061522,20.695145003574797,14.855866323833848,18.04480641287364,23.298601159275027,19.466041607608826,18.081696454881424,21.792709360853987,22.975645726040295,19.487903636192936,20.37727329000726,17.174644122612467,22.587294130755918,16.879093586025284,18.451232436957717,22.61691781661828,24.86939682097639,29.100837976228405,29.378143518062924,30.934376653049846,29.383852257557656,31.968568593231144,30.622580786992945,32.66873358260692,30.493349224889467,25.146501837576707,27.92068355794645,28.88082542586224,24.257012819834493,23.143157308268528,26.09476202270697,23.802532991012775,19.71322204803622,20.710497753922755,18.835427980184797,23.98422134576269,26.586623744083276,27.17164436193774,30.829626974367933,34.27875405038831,33.358923583545305,28.501428471040228,30.71118392981298,33.45623187308502,29.512919961151212,26.99562697399232,30.786293378334626,30.598538917399637,26.547043379656383,29.436568375434216,31.801997077622737,29.073807069806662,27.466633121638342,30.27124230410569,27.380390958702,29.317727296755887,28.0400620319625,29.52060084328304,28.054056546242265,23.0221110155888,24.7316111116121,24.656394903919313,21.775214153045734,19.40114044795189,23.53384172479847,21.447895287870814,16.41443804519105,17.897180084791593,21.317767700321085,18.737879379786747,14.855674152849515,11.283508928210885,13.088650421025214,10.049361277614066,13.818445768116185,10.494431675115353,12.388453230608114,13.421317306012321,9.579477440399458,7.916324026895686,6.502304166494104,7.481274248544989,11.821969102478654,12.810517901235222,16.18814920845431,16.61536732990491,17.881193544767825,22.94013293395048,24.864819434944202,27.6031461478676,23.040293625676924,22.897965443832636,27.213348917938745,25.98193836219035,22.46756726393933,25.229883663175926,28.86007495642842,30.534721780076097,31.784103941331228,32.57589745129301],[24.86571897043726,21.835249655142484,19.768428921616593,16.99192766702022,17.56329399234564,23.009925630728493,24.325171751730338,28.619348177109142,29.925632907073368,30.186717066150727,33.80985107145033,36.383074878795284,33.922513742029075,33.051910496456046,38.0453235352617,38.358290571127895,35.13336199913822,38.86168333243092,39.22853243586867,40.749421255875944,43.21940598800952,46.2218794570758,45.09701267906838,43.040281522017516,40.22158055461971,38.306510582469016,36.31840992812463,34.38438648510385,37.174290747066,38.06105693165037,43.36188147609044,42.2873189328447,46.69279167532181,49.45799856867233,45.91275621790595,43.2170879663706,41.536445336528935,40.00619910532167,37.83791754819762,41.604989861923706,38.841962365828884,41.49087824392429,44.78218514014489,42.5281041863835,44.04065271042229,41.33531862754937,44.29790708974101,44.447380609219145,38.95235400227045,40.14519419374249,44.29156210462842,43.46928736773123,47.142033843891724,43.11267527473461,48.108122152715886,51.32070714174844,48.48006861210717,48.88117864701793,53.498980804965164,53.35469055250402,50.96640014332238,53.924635015154266,53.28312916512796,54.68327020275017,51.2950452388467,48.17422940995428,46.431615092054244,44.726227234760465,42.67538789541135,42.23349147054529,41.41991190310887,44.386951431807084,46.15485809771005,47.841051049699125,47.59802767938478,53.644218314440394,50.6166466900207,54.0722047601636,51.6089267040208,50.94814321111264,48.61670055086961,46.01673690189143,44.5326050108701,42.15267532774982,39.264408099733494,40.639579883315214,43.57101039734285,45.675090973121804,46.23690669813148,50.87027882026025,49.38854505463369,53.31271043134624,50.66055174720983,49.06612489119638,44.564048370965075,46.1905840534272,42.022454123372334,43.58282233757012,41.02127804601574,42.70059639862153,42.30595734828287,40.019852523973626,40.25976111200589,36.90165990210143,36.77191700602862,32.281820722079644,33.02056492747789,29.50017385192413,26.560448204076152,29.564687307083695,26.051626843470785,26.692364359064825,26.35276060484956,25.17400890249492,28.190016114533684,26.40690505889809,30.15435404434554,28.65724854988515,34.57698147068774,34.9880500052779,32.54615773274466,30.597114762478558,26.178296965732834,24.619829195685885,23.64704888743154,21.323976545896684,22.10554759150375,22.18242486665537,22.921607023642956,27.024780333402635,22.734205168568543,26.65665530801576,26.447328208303432,30.154442848538856,25.070679987726468,23.45936974002396,18.14880399641529,19.68808867230022,19.99633264956979,23.90746339565308,24.626643432183563,29.13769751559481,30.948440845829364,28.923337537327725,32.09170650376287,32.94204831612095,29.95053950228893,31.072126647276963,30.405647682059044,30.149078391666944,31.21690573367818,33.48233267821817,37.08748135086735,38.881613989900906,40.241424099859294,39.201256715133866,36.72191745393658,35.39947634370325,35.84728457840399,32.60794648105471,30.00437866135569,33.677829650977074,29.104523622315124,33.17670381336645,30.48581234067069,26.160297785736148,26.13209779022265,25.085755741606363,21.488511414165277,20.43763924717918,22.144500953475525,23.75676307279733,28.594554841495174,31.644536644329378,34.65292907414552,37.028676807844896,37.78663118640802,42.186306140334835,39.52111864854763,39.51995483640451,35.99181260411303,32.87291959774049,33.85423693762239,34.293601243928435,32.11923785708019,36.4157969972522,37.47334845981659,40.027617743346035,36.33620828323345,35.88982965459641,33.5897072262485,32.12863380497972,29.29792338399808,26.93706424261986,26.916882444799576,25.875407040885328,22.155438584114293,23.99360739245054,21.56300301237553,23.958540839727334,25.474409527360322,27.18587030647879,23.829827877839538,21.635379146888827,25.626832068101653,24.559117861218773,18.724352163993682,22.25565781342452,27.319163011092076,22.95064345226079,21.705611965771176,25.495560154898715,26.228108856089392,22.357122982625416,23.558216038102028,20.627662737994388,26.277705334657572,20.80707929309633,22.69926237164349,26.843083610080985,29.29111074340309,33.37079685670398,33.83388215270126,35.50849387541616,33.9919684208058,36.56060902855613,35.113747199617876,37.15127739805368,35.04241929710811,29.66879561500825,32.30052419518528,33.22287855629404,28.65381807684181,27.426994071860054,30.137448775532466,27.84533514910988,23.875208372360113,24.44018553681167,23.027645568702365,27.885152967879012,30.70961670354171,31.479671391890744,34.99659918614637,38.555439407445135,37.35691242786152,32.551817370153934,34.959575022700875,37.484516636918876,33.32499386233127,31.041518782238068,34.74600224215998,34.308617523252614,30.302199412106585,33.471445368730635,35.61434963900689,32.545787004982074,31.270952348566354,34.271520814171566,31.54542672385008,33.665815403311264,32.41562184579164,34.05437920198105,32.5322893265145,27.42912798708656,29.28142430265242,29.236467351557277,26.29420036053544,23.974808449250535,28.10106036105932,25.900144185944683,20.93365950161105,22.376933301576347,25.650913139737533,22.90723762018927,19.104252178930594,15.59079660863915,16.738500590865293,13.389173923856085,17.357026974907416,13.961693156856722,16.3393299352966,16.626193056592793,12.399484003063671,11.563914842753395,10.591225854436242,11.678665134980243,16.178072883660366,16.365469517373498,19.728647822579934,19.30908770727408,20.96387406915246,26.165249002634454,28.366120609024282,30.636623594653106,25.799619680097084,26.02478361511794,30.16743111542282,28.29078531559201,24.77091583846388,27.962950489203514,31.328498457721384,32.95085570859677,34.13589371306745,35.070550045959536],[20.928922128014346,17.916250481664356,15.91649647841464,12.026906429880569,12.977575014845208,17.873839295958852,19.033520024215324,23.468286342947323,24.409075598456596,24.678369198997405,28.246504668923816,30.90138441965832,28.652851451489777,27.605618896445026,32.66891819306325,33.15987090201747,30.134490753641867,34.04048603496445,34.75544495916558,36.492191896022334,39.22089076433102,42.49540197699236,41.58603704714932,39.78671579154513,36.83026727158899,34.49243356182393,32.43289985558809,30.05497978448045,32.564362182323286,33.2701104198857,38.29809741524454,37.30920588121142,41.61279547591415,44.5299889398278,41.1799485517434,38.60307084816437,37.04031890459479,35.88428128125834,34.04827950067289,38.38470989855428,35.657148261873424,37.830067580604066,41.43980514997696,39.51239456202332,41.25753141483947,38.8911462977226,42.143833878972494,41.93119204041676,36.490402009439094,38.29178921967718,42.16953988498062,41.379191031466235,44.789031406763634,40.37413859026415,45.245724643328145,48.57844853001181,45.492767597767305,45.48774471121055,50.238386631350494,50.29140273626699,47.468611025470445,50.06048721776141,49.11013409300627,50.616969801244544,47.447312005798466,44.12940679669327,42.12585115471532,40.11811870826932,37.991898723243246,37.21358958947553,36.46489847042203,39.41910658063377,41.13765683524094,43.119795142553876,42.743686876493264,48.9158439076987,46.13189583759161,49.48847997996997,47.26043568517035,46.95051767195755,44.63448395034013,42.4573216108424,40.95705076308354,39.03324873012606,35.98798705587527,36.849789797969486,39.64111785774039,41.457572674693765,41.87041983984114,46.23017485152243,44.57676627378896,48.375145390144446,45.55506787400147,43.85455161995132,39.27974002288923,40.74656884385491,36.528032361973864,38.25605921253295,35.70595872021103,37.49522445347473,37.34202926124816,35.364975233200454,35.80264210068402,32.787674463129264,33.35818214893657,28.7569166865699,30.095334900962985,27.00434480402376,23.746616864958472,26.175299922380162,22.13702716435978,22.516621991087067,21.499060130751705,20.48044897598531,23.157392287337288,21.626025551611818,25.50695799974863,24.413717660273704,30.290067054079135,30.23966282088826,27.671539023939477,25.470426878646748,21.217024249071457,19.453253661323867,18.284289216439735,16.58008423676789,17.446942734582866,18.179015928712516,19.62186730262497,24.10978845312827,20.71033929344846,25.088617816876116,24.991422088925578,27.974682607243043,22.85652310013795,20.36481698409915,15.601664186347048,16.339973197029845,16.244145575223513,20.248398902721664,21.374803614570222,26.1826215096105,27.333703871480193,25.118840931476246,28.43431106803092,28.747450343639322,25.62312942724031,26.44066091523158,25.861071490430177,25.186412329708702,26.518860183987478,28.399117499148883,32.286780986377124,33.860576585922246,35.03018863026773,34.17281431118278,31.6540997789409,30.7022756707749,31.09559294672881,28.394717023911326,26.14165106412922,29.658850754297237,25.490466734565615,29.834526504396734,27.90021052629567,23.988353775689756,24.555229686441272,24.37546613587879,20.868190581724384,18.83918622175012,20.243626998699646,20.979211480605276,25.79794534485036,28.519621679224002,31.14840301818151,33.34152458077042,33.58296361055613,38.33573184303822,36.009254913007794,36.27044208979988,33.191838722987185,29.785869377531,31.646394387215796,32.592002466039474,30.1556201125837,34.29339090209928,34.8879264494511,37.94171859689489,34.55602908552149,34.57734446291177,32.810656090027635,30.816118936853965,28.55268219116675,26.158355245479278,26.3526226114573,25.799143573440578,21.516448980936797,23.42621287270731,20.915481004960924,22.23775679816125,24.380838848105117,25.164313988296446,21.38936912647604,20.22843420536794,24.158041877802813,22.11122580290921,16.686309130513038,20.949697669537944,25.319252689833373,20.295755261663004,19.79728659827294,23.749052253596545,23.517204336618548,19.746169563857904,22.03089525509464,19.56238329400503,25.48770106972729,21.477921618273413,22.6730964518787,26.76115033616036,29.916836960366922,34.065045571746985,34.729512145430576,35.75929980233039,34.17458563940033,36.60304401458858,34.6103499122569,37.274845793727444,35.646224589374114,29.76292592509461,32.29543225417381,34.14330336608371,29.70603933244739,27.925162682048814,30.824774821739442,29.54922459355956,25.4157093813375,25.105666378611186,23.128973792772015,27.020005531266193,30.06657203146605,30.4811728853179,33.53266039143512,37.00858799976547,35.21484567631906,30.618916034356918,33.16652508935479,35.0891728263072,30.583875763567704,28.76526150537853,32.23424292383226,31.351669848163137,27.57894689910435,31.35663123777533,33.1035396300131,29.64216270424275,29.173017034420496,32.56309110463136,30.202442464165465,32.470324848349094,31.06553757400556,33.383673442972196,32.063665092627524,26.551447817726636,28.841063936262145,29.5082039733709,26.451926639791324,24.061598715657627,29.03213116619096,27.34712233679841,21.995860371663476,23.611743467208836,27.678569916851693,25.324951686430808,21.315671747513328,17.143817204862106,19.75704761485228,16.0842698544716,19.012154576339807,14.411875416244495,15.734989820354926,14.379715015738057,10.976023308436854,10.766675149449803,11.671880279973006,12.023630727715084,15.866762504036938,14.15747186044788,17.69687903791786,15.913032632248488,17.470994999711863,22.72365532278893,25.164127074222574,26.76367697005312,21.70128397478111,22.39609480400327,26.221867421797334,23.670570359253134,20.38320613361004,24.09526988993525,27.128491478265996,28.750936030209978,30.021519325955605,31.173892084795817],[20.504485863260914,18.020305826612727,17.2021100458268,12.807412213874303,15.426870119237348,19.07878962638114,20.498686312358988,25.053382269364757,25.23085870693535,25.575779876715984,28.882592249686667,31.825609214481382,30.008951014342248,28.311665290868433,33.51224422075338,34.449566974099945,31.54025463214007,35.41157046249929,36.02885562145872,38.27099791313103,40.9284428839054,44.49930933593227,43.4937761151058,41.6137714084952,38.89345318978188,36.203950860812895,34.49727262098157,31.939171284743807,34.40080495946957,35.17808450499533,39.61584120097065,39.05639998195316,43.17934673340406,46.182622877358064,43.11429102509204,40.5203376605579,39.32257397877636,38.244526215192955,36.62353937707002,41.364645352332424,38.429879287509564,40.09391704988766,43.9076948846304,42.00801775861697,43.55112666465462,41.183496606475956,44.61429754250208,44.57837682602546,39.217694789783344,41.29662131867304,45.26115153483729,44.704690621688734,47.997844496823035,43.44520279945988,48.403486192148755,51.57740789640898,48.21147682084424,48.19239812604723,53.007745176543324,52.89921327712671,49.79116485332355,52.18461152441789,51.09847583562383,52.36456365326165,49.3497899845968,46.11533721001222,43.56380889721073,41.50791091593624,38.915400437839764,37.9345284925514,36.91080037750556,39.533014660765005,41.653537000169734,43.931323559853666,43.859995989225325,50.20639495729106,47.83507586267114,51.25135698735608,49.33904520065582,49.33655398179249,47.24700552076116,45.385604647066074,44.059709827747795,42.388868471951994,39.149904798763416,39.70638953268977,42.18612379655858,43.94724331968486,43.95149395196193,48.14467339781313,46.133955833340785,49.643402820960404,46.675270784606475,44.99108421902806,40.33306140267344,41.423431158163375,37.114628089668656,39.43422490132551,36.983031177221825,38.911777411712016,39.23179115276447,37.64618738688295,38.3437904455401,35.67865169721687,36.79170234438035,32.14094386826212,33.762463319196534,30.91313096337964,27.443539112623988,29.540056543732714,25.175927724241774,25.515174869691542,23.7847489012644,22.91330870315992,24.858725964618106,23.34395289104978,27.084712963464682,25.901875910245277,31.4506428395695,31.38732480506392,28.46620178794369,26.279787632855395,22.075888475475658,20.641088174363258,19.63243906041386,19.035845539397542,20.008614385703176,21.428201943323486,23.276952522402045,27.926887468174165,24.910039399509632,29.361829909063637,29.304519843145062,32.06021811165976,26.93254837111278,24.077547033165338,19.682991593308316,19.771276399943467,18.995187245594447,22.948576803748082,23.47921174522425,28.359332175333087,29.384096142625253,27.4194142888737,30.981026881007065,31.10433003875688,27.965048649410218,28.729287594516467,28.405462400116186,27.242138473536507,28.814152046053433,30.021785321153747,34.14857109609533,35.06651938429706,36.253745346022185,35.87975201929312,33.42803658239006,32.991431742211674,33.34088201066063,31.26993257588336,29.26870370387357,32.444826620359684,28.42804471078606,32.91787256599801,31.36166678439533,27.35884144915329,28.42328849963375,28.224950471649944,24.95529493831531,22.643494762012942,24.20056302416006,24.536370465620276,29.40430651278919,32.01259290877591,34.40871758093943,36.54439906405,36.32429649223725,41.363376549435294,39.220792382894494,39.71599449104381,36.8203102433148,33.42712739242796,35.64758811523516,36.71142342221917,34.130732325924285,38.02447075038378,38.262669874191744,41.46721161274538,37.90450480004464,38.30515741040461,36.67820523142006,34.74656684253953,32.73443587918851,30.466292651563077,30.781240263146497,30.3106984972781,25.994168388672524,27.829389827578144,25.146546299016755,26.222047666347848,28.180288298340987,28.64669037636364,24.853673886523623,23.693427737020656,27.309396148745606,24.881694441257522,19.477044601456683,23.583515192714984,27.626257977363693,22.100519774011318,21.4428665339536,25.22641732777494,24.636981487396547,20.422193326343184,22.708322733425238,20.700268792684,26.65950422743037,23.18680497435993,24.855580110729147,28.774442258689636,32.3585981442463,36.145152949397215,37.29422481018637,38.61230432377237,37.37751883875835,40.025696556775074,38.21039292203916,41.06462625411719,39.265894036009286,33.455659140392484,36.237764806426,38.11713500474416,33.58760172050975,32.00484784726571,35.079916813922935,33.63401396820658,29.438896750134163,29.496829351144225,27.256002726426576,31.195923198569403,34.14835304606444,34.21486427170773,37.23244069205769,40.44454378074322,38.65348764934792,34.13233539715318,36.299659313635296,38.04979466819631,33.546622304859945,31.601391737742123,34.671737718930174,33.52060990713861,29.722889136580598,33.525876882950485,34.90192816656177,31.054188925801636,30.78749201882509,34.30964002769351,32.24982748033307,34.92799508266693,33.917327509148976,36.41757122657943,34.65888544584879,29.24815435968125,32.05260427262825,32.49275100449222,29.22097383404317,27.388174587099012,32.39961108776839,30.275485779448434,25.065581729141794,27.238298171439894,31.0334233124199,28.250177900195585,24.310741564002104,19.929966269418266,22.138258455815148,17.95439366301849,20.516787035525205,15.90923259988002,17.88055950690657,16.01616992388895,12.351890308330626,13.263641218061878,14.482718402633145,15.663004495823074,19.47393651524016,17.807262701342225,21.623343744330768,19.42850378855962,20.27044812790973,25.636599059484453,27.86161669771558,29.178145954896205,24.009348007714944,24.365987848682575,27.88980470653335,25.240272082319297,21.493419329556286,25.124291058994785,27.850973652241088,29.345457759512456,30.455236905468393,31.734714374421355],[18.040429842025546,15.454665198709334,14.287061936299406,8.944742959035697,11.373817984108753,14.487727753842627,15.570119448881401,20.15139681082506,20.21647578097768,20.54766679901336,23.888589894105202,26.776235700889337,25.024168955393346,23.436814325276103,28.627136984208164,29.543524007859865,26.834119036628096,30.87812972777985,31.91050822481974,34.09899047574329,37.02546608441782,40.673625029241,39.93890194875381,38.370371849903044,35.43515786441528,32.54560207499173,30.618643072241856,27.73348966320491,29.878633694334212,30.413999731193016,34.811076455222256,34.128748726847476,38.20618728130081,41.3114271293487,38.32169714608083,35.883880480213236,34.63522495630233,33.919294578932,32.54941794018055,37.56169266929191,34.81756130696193,36.25086545303514,40.21887171345652,38.638257736709996,40.482610656189976,38.461132555291464,42.01187024684525,41.55567953010863,36.28612040199181,38.729656400434806,42.34974686013349,41.70830801854956,44.782538637828026,40.01468918119901,44.74892774604769,48.082956551467795,44.67444411755804,44.28326269011899,49.143580454334895,49.305544493679044,45.96905207215404,48.09599242244113,46.78842634883893,48.27695165999794,45.414450974038644,41.970989257375294,39.46263287998211,37.13766756981979,34.722289511851976,33.48788750560291,32.678923277222886,35.44160287494879,37.295210444363235,39.7234567299204,39.35706716332977,45.71039984355477,43.38487589429896,46.649653459270304,44.81888835734211,45.00282721964968,42.827405407225434,41.23278261957121,39.814858096788704,38.470014426423226,35.23539634631766,35.440506642893745,37.907172914005976,39.38853801597311,39.45433421306064,43.42316086125351,41.434865313755694,44.94722491460325,41.891690252904375,40.0917751237285,35.41585672181953,36.51658277585282,32.20610191400549,34.40760842091294,31.928242800107142,33.891016859767106,34.24042377830382,32.79675208608598,33.57108084948904,31.1202775202123,32.64226722106274,28.012765811763302,30.02583833909988,27.546748394801863,24.009295795402313,25.624190650407638,21.03620609521048,21.11357207702984,18.982887838543622,18.281574032330536,20.081804346681018,18.90520462753529,22.770605924058373,22.115346061788095,27.652575047456477,27.090053028831825,24.234259042170443,21.770617209330403,17.825125466946073,16.017269766548466,14.695328562914106,14.521773363847071,15.48140064989111,17.314503321748546,19.61155870221603,24.333744702583626,22.105790485036984,26.70076913266839,26.72919824615605,28.866062895617244,23.91959294065184,20.558218781319212,16.858089885947255,16.42156543934969,15.549165535782834,19.36734956825444,20.562927754805443,25.51191384533622,25.904868656786693,23.680680690182957,27.175111072158735,26.830281965196765,23.63169719842054,24.062694199262097,23.71952576697786,22.326732119256896,24.048164564376954,25.108926304246914,29.380000656750585,30.359240954460027,31.32882137117204,30.927717857235056,28.430677362087426,28.156461802980157,28.471702400667354,26.711604437257293,25.018508642628834,28.115684227971915,24.554793233201234,29.114573783106223,28.141943104781376,24.707995778100027,26.00905576872251,26.546333278768895,23.37889385792542,20.54319413377659,21.67086515358709,21.371304041361654,25.978973704008236,28.24155971516088,30.319563675389855,32.254744508797295,31.74801905144268,36.920784151210256,35.05295129800934,35.670842519601,33.16680288137329,29.573920191640845,32.37054172538106,33.79572006344103,31.12875282296185,34.91072672028345,34.90797064727304,38.42845929442575,35.29800834844307,35.893926530135765,34.675668386510615,32.314459118814376,30.699814374531762,28.413936752736372,28.824296785067535,28.701145994679983,24.146327832052293,25.980895492921253,23.43736195651353,23.69374688232473,26.169891608730442,25.97303165993005,21.983736116040618,21.79280366922894,25.32354321811837,22.307853114606377,17.611026131631476,22.154733591868343,25.561830230784285,19.90876807264455,20.067415151459056,23.889455231692732,22.590034791327586,18.888306471727265,22.08177981303028,20.362060088075733,26.258734506908212,23.81008862982373,24.62988496432469,28.446901764491244,32.26280473722543,36.21498571921976,37.240977586099405,37.87510293536281,36.427014389547594,38.800624958070074,36.488734132512285,39.69722916977712,38.393288435589795,32.27423348135875,34.78624303960395,37.32402211276654,33.03245820104201,30.97771894119064,34.029861436420255,33.44446168964634,29.263038361902627,28.520041361621008,26.06763641803358,29.084822585094024,32.17181603537062,32.114635729934506,34.68341543398835,37.88975818859206,35.61257362923251,31.34434862193972,33.7648204962415,35.02728335859937,30.308098270702338,28.901611613130605,31.87075993539159,30.4607381340026,26.995691962417485,31.246932849618428,32.41301645377056,28.474084588693785,28.871458377719726,32.58997966182228,30.749636665483475,33.280064280199404,31.96314156398978,34.88381942526681,33.556790476544464,27.90813226684029,30.726677646512535,31.83529370153078,28.678914039862335,26.573302104624712,32.048089258742465,30.584209764784756,25.187614005911673,27.11769942245629,31.50613699766516,29.28156839537123,25.27430808997654,20.765065239018767,24.004403951526747,20.071811591543764,22.063024838041482,16.93579506832127,17.64176479500948,14.768425895003466,12.448926893761778,13.25656703955712,15.430326019982283,15.67828748817214,18.667376117983352,15.614660724974293,19.133289487945564,15.995227597787837,16.931198686666935,22.008315546573982,24.47624510086739,25.203089331006026,20.021793387948634,21.008185587541597,24.219851513046883,20.949471532252964,17.781861614368246,21.910583792387243,24.34580792048284,25.878596886342603,27.132343387450092,28.554619082113742],[22.881897490414666,20.15495713202277,18.28555787849921,12.979286484099289,13.438233187980682,17.25637034905653,17.154760215969187,21.656486684777448,21.686050785672343,20.905339268402685,24.28941636098382,27.492732671516528,24.702173149749587,23.01853511289603,28.075373342257627,28.774396660419917,25.366340325938232,28.953648133317866,29.230624270788862,31.365226988748194,33.887427587168055,37.397750281997006,36.3390633585069,34.45461897049151,31.722970329106765,29.093301056419527,27.435344987925575,25.082635792669993,27.855784967807963,29.07511908397488,33.61500101353549,33.382887223920974,37.641361876292024,40.23755602761894,37.00933493737809,34.105552164800166,33.165136582415805,31.54100026725178,29.793427116377085,34.57723052857952,31.454923390907876,33.02106204669824,36.81749793987302,34.879531903732584,36.40537164000732,34.11461869595571,37.61152624478505,37.507317970362045,32.202005986607574,34.491949780317015,38.40014820103121,38.00168743898195,41.18745199588197,36.57587238631025,41.64790644530409,44.64679333676353,41.15630981694334,41.2574445571638,46.06749852609902,45.81088109399504,42.70180097549044,45.188926164435486,44.2546811823419,45.391403719650015,42.28825238946043,39.160080092902255,36.68375359565417,34.84306277637883,32.341590372100484,31.74281907199539,30.736447372699722,33.564278603072424,35.53035193170513,37.434173373074465,37.45158200530357,43.69313985275703,41.15022814749942,44.73507451001916,42.7291361203916,42.591279259052534,40.74023436042732,38.81911547098966,37.875537313946076,36.13066353349228,32.645036300400214,33.266378724635146,35.48864580744914,37.61241664738364,37.33376070724178,41.8422253104657,39.81816019496011,43.41567484376884,40.702124356634556,39.31043269297842,34.79089351611169,36.22731753394818,32.065655510631025,34.35716556728617,32.24137446820564,34.831736541711756,34.249463699610985,33.23753152583042,33.143330610405,31.061494719476045,31.919025060540594,27.730398030931948,29.94813278831283,27.28826037060094,24.410988872994366,26.14467640083409,21.891301898036364,20.93477940335531,19.216454432072776,17.31999981458021,18.939754779976106,16.837960704355567,20.390809421682704,18.88851505857944,24.55014111353976,24.793510828756908,22.035382180522888,20.158336406518984,15.663566207737167,14.571965264011917,14.43659325599749,13.449136821174097,16.28188207177422,16.987821333755218,19.407636646173636,23.539065197843705,21.257119285696525,25.85263757774022,25.011574325749518,27.444405980988044,21.975564801519276,18.71052511715882,15.116822607401511,13.752993206557043,12.216403940326773,16.080570340280257,16.331921756087514,21.2368736555811,22.228158839162703,20.37947095909708,24.021136572873317,24.418238680176856,21.392588923959675,22.733303468972707,22.9691008914307,22.459153534944654,24.832666599605517,26.480645551254028,30.931266189817478,32.60906714417892,32.94103247065377,31.981056024234995,28.964028740271857,28.599963013212637,28.143428417091453,26.275845102544736,23.5508166424086,26.146267767192384,21.81260401991158,26.3176370238058,24.942499857780298,20.863729013212833,22.600050856782424,22.697847827836096,19.96047959522883,16.935933025812048,18.65307622267862,18.3806343006975,23.351729428031913,26.036240300284067,28.40499105908001,30.908663508829587,30.50407393011135,35.63392662919302,33.1663567871079,33.98083661248333,30.8825348717357,28.15092423633041,30.42901793730769,31.45268890171228,28.515048697640513,31.872307703393098,31.683544499649578,34.99307972187735,31.326618808402145,32.17479899904583,30.90943643301265,28.943270329684175,27.58210812665504,25.72976734883271,26.624870564618533,27.001418413624506,22.86949230125596,25.426710885725058,23.662438261032367,24.269158900687586,27.385984708306818,27.564540181629418,23.508529868746223,23.654378472881998,27.62102481959294,24.987428475705002,20.409588335784434,25.119995248947944,28.834472408015753,23.63825907815691,23.949433247393962,27.894687826290657,26.82409556015732,23.410728205680257,26.530872461401614,24.456828145076834,30.35529135835641,27.14380943957235,27.841135698588943,31.84361029933136,35.14333582448096,39.39879154593121,39.95211095799917,40.436190412712165,38.56633409722318,40.640015286635126,38.06174497297753,40.89399491065115,39.835715157853116,33.67693970957566,35.693586491621744,38.015506296519604,33.88772055161706,31.53517858429999,34.04121656419358,33.57664969197471,29.6228184709915,28.07194225407038,26.579867132273506,29.315266511587048,32.70888577508214,33.40798119715385,35.89179924171365,39.57510522514216,37.05834644916168,32.80229920065552,35.93622769233567,37.23529551349909,32.40648261810733,31.433668192027763,34.81824791252532,33.58274961753901,30.280459270069983,34.60166399346202,36.04549616504832,32.39080173517882,32.754223997356156,36.37181842324975,34.27973888218104,36.40316606971412,34.62721703289942,37.323080625615795,36.500910060025724,30.77746276862321,32.92967319028084,34.23110489975565,31.330472349446882,28.55757092045604,33.79223505839268,32.69701904656195,27.23029769294838,28.356926363152105,32.84660746781672,30.949294993325484,26.919221725113132,22.83246757858041,25.771217797249918,22.254447116989066,25.0688887783875,20.223534316150932,20.891255771302077,18.63642245473404,16.157609922234215,16.05549390687006,17.422153664179678,17.00500708576885,20.281863343405035,17.107350258299483,19.880123782509337,16.783588751942705,19.21660747814424,23.888438335037385,26.856211656830038,27.432413935927745,22.395626504567407,24.221586055974637,27.47981589580845,23.738165096295702,21.4721098068904,25.887069933305185,28.283422665853276,29.822236597637264,31.14427652186582,32.4823762583258],[25.0675283033701,22.925183687769394,22.041796728062945,16.261241271805265,17.893015657301145,20.30411264247506,20.026342732815877,24.467493392721284,23.37346479586051,22.156267298330803,25.02775221670497,28.751273320959207,26.167375456674428,23.469700542118716,28.513874612648724,29.78138899207283,26.318343956207038,29.51014282317233,29.260992278681513,32.1304564125606,34.29914739236149,38.14867799758122,36.82736418428924,34.73166528036364,32.52282361365967,29.500785467159247,28.585872630717667,26.264380479282252,29.143876630072217,30.757365063254127,34.33341161056335,34.994461285161464,38.987153359519745,41.413381382230234,38.55483592198463,35.462796252057295,35.25264378634733,33.379816779671295,31.8589049746893,37.0445257775526,33.53282814152056,34.30245868201024,38.261829586588235,36.27346376318638,37.33012961246031,35.00054049705814,38.695227354624514,38.98354171451497,33.92214422365555,36.549795432430614,40.598051110674746,40.65863345316673,43.636663457132535,38.959999251761744,44.19794108850354,46.76727453391248,42.86339732222472,43.13866220102213,47.95071008024788,47.28006979942149,43.86353992353388,46.156328353406685,45.18990416851426,45.78159583855297,42.85898060536017,40.048819053573574,36.76910551695748,35.11080926461497,31.87581757731205,31.278816843434093,29.75115538765066,32.0425034102128,34.669412193415845,36.74990951232655,37.430161994631675,43.79935617949591,41.82670817314024,45.60397018168494,44.03007223477893,44.222119546356744,42.89516705547056,41.35042397328605,40.89819925893864,39.4018040112715,35.6030413880507,35.91564958601447,37.49759899386226,39.77832324165855,38.71751662633937,43.144695414979324,40.58498850740074,43.729830252703906,40.997318914270544,39.86137895698559,35.37086794990651,36.38599785779301,32.23776613469299,35.4398430986133,33.707873029592946,36.794031239427945,36.43665299785127,36.237658504229465,36.10860172689682,34.74942616180377,36.075068437880006,32.09158807930698,34.73766679614575,32.36805893357555,29.50527151948012,30.830780343980845,26.37802997947689,25.019365097083156,22.56037798632963,20.51790048703338,20.834247498020574,18.491424460920975,21.420566981114106,19.470892545235433,24.350459451324614,24.940977079723748,21.744230383175207,20.27916357717098,15.877686095460326,15.822578606285608,16.517362948171115,16.97074130179033,20.359650238912177,21.5278280324857,24.37013262537278,28.38928641259804,26.605061458090894,31.209880444219195,30.145958227392146,32.32949779645409,26.82157071482936,23.26894096510814,20.318374912942115,18.06275640898711,15.53980640194863,18.892057981916082,17.776159152266427,22.42919582964857,23.378614764369523,22.202833871147444,26.104761417319313,26.492478610958532,23.668652681962886,25.24862347186321,26.104173570713925,25.28390798678488,28.211087593212795,29.1388813214567,33.93051345177874,35.026109260247715,35.02092584725684,34.478043246884525,31.357922946333865,31.71145696337555,30.84214580256237,29.901011634153946,27.215391606678352,28.99850886072337,24.78232706327289,29.278787484975336,28.380483776913323,24.144431227486972,26.66111559633302,26.597352802738193,24.434517639898374,21.159849148538633,23.15511352801035,22.3769068418726,27.275563994588556,29.846350603019626,31.909148277038774,34.49188936453678,33.459297722262725,38.877166984620274,36.478119596494054,37.70476612757715,34.71097167825955,32.40619042110666,34.939835907308684,35.963437997068645,32.790245836925216,35.54192488958281,34.74561633947873,38.13120614317157,34.09780810433071,35.60285825605584,34.58294897339837,32.884621712582536,32.017388186280115,30.527859065792217,31.722880394410687,32.37023086609786,28.371886915845202,31.042271496170507,29.32523780244841,29.765193669681548,32.90162772518548,32.82810853720207,28.729123749546552,29.00642915642241,32.807620550809105,29.85234024811021,25.345953446484053,30.013992147734424,33.459835188510986,27.876459333377696,28.158243960247233,31.985476015259284,30.52742865033146,26.84525016796049,30.05142348139383,28.349298128061474,34.28491596372794,31.437649272827557,32.483604073968394,36.39980306841117,40.00171562805121,44.03082767002654,44.90995523613002,45.576063435716186,43.897892402919716,46.08250795057454,43.543101030274144,46.48948304484402,45.375968649456645,39.22375353527466,41.32644844989283,43.6654181544681,39.48752879998682,37.200285109513295,39.72023920999901,39.15963746638888,35.184362389983455,33.721877967764364,32.23899571679732,34.915347853388276,38.31942885028777,38.89286916614983,41.270741105949284,44.82766877055503,42.17268331659762,38.0439381687698,41.03094635247329,42.08985099938831,37.208571250652405,36.30996453289319,39.3847054494248,37.87533746424759,34.6589621162773,39.08789750992055,40.18851563318105,36.19804342581388,36.87220806275402,40.62625235605322,38.79560979407039,41.203238952341614,39.65020445856444,42.51649060747741,41.44651364267153,35.75014886555694,38.22671600873518,39.42265848179747,36.37465014891705,33.89916896889607,39.17561646222671,37.796916522333234,32.371554467248124,33.79131087234827,38.12504179450272,35.92547127415152,31.901571588089755,27.678762107139146,30.253400515476887,26.38357628253455,29.126711545993068,24.282838463045252,25.435313706668953,22.823610980629788,20.134024018110868,20.687791333006867,22.143819290845336,22.23716313006601,25.665021514595615,22.496717796895545,25.37687580545673,21.92797743074698,23.97273965362242,28.57737308588121,31.468801409310558,31.588543842559247,26.551495842236463,28.332535810522668,31.18564241446248,27.103739816162996,24.775372631382723,29.214627026168422,31.139333243069885,32.51781335745159,33.663896708164074,35.14912123363904],[28.893505971941657,26.675407992913552,25.580263962101448,19.90184026416889,21.005553387470492,23.803316485478646,23.19746736347768,27.548433902938296,26.453294796245636,24.74683078152465,27.522875716763682,31.38062721455604,28.317131797555238,25.52695686618142,30.36150726133602,31.54290800036331,27.70275471161696,30.431501303624046,29.489279948043414,32.39506221397331,34.10776611001932,37.833028714740415,36.17633888756291,33.742599101283204,31.890173991481223,29.10759136368931,28.605525869502983,26.80872382817288,30.109423509407083,32.208057709361995,35.70017570909273,36.745445697263406,40.77211840640362,42.825536560262336,39.88280454357121,36.490985590122165,36.57025879087099,34.050458449328254,32.28205895460488,37.20254092525748,33.39117232311938,34.17489203146884,37.93180157849034,35.61833607984577,36.24910617703526,33.63119749254648,37.23491123223648,37.986754934624834,32.99370808159109,35.41012106229402,39.7429376749341,40.07124023861632,43.12100214473127,38.666584860952014,44.1510098320726,46.35893166289513,42.38891490350696,43.130140663345664,47.843864811198344,46.75405513543381,43.548219094974186,46.107548958719626,45.45759028108924,45.66023110123251,42.58892332025579,40.14018912596606,36.78789340717643,35.58960386311426,32.190263543497764,32.10233231955637,30.335661794108827,32.49200118538341,35.328580128604614,37.007805940038445,38.11977742553109,44.34967439020462,42.329993526350336,46.339423283360055,44.70763601624255,44.685697990237756,43.6712897566398,41.917595402576616,41.84768191027102,40.06838503116854,36.13357828478294,36.754857906261925,38.08135417037183,40.82226743141271,39.44766399802647,44.20456716346543,41.578263592625916,44.677707526988534,42.21132151959331,41.400030299824486,37.072345921096215,38.21792498278206,34.22247164595943,37.5476321263869,36.07645468824318,39.485240067259696,38.654361420434604,38.709210831130896,38.105770835955624,36.95636307342792,37.855647280190325,34.15487092474055,36.8064092550868,34.29837417701791,31.792270112999876,33.254502667976375,29.032222495533716,27.288644957036713,25.12604433762593,22.557059803450926,22.708807254586283,19.85821276114216,22.329122576354347,19.676670032201297,24.288949414531388,25.625796503926914,22.52666433161594,21.644451146072942,17.112401295945045,17.707961754128938,19.060972193120296,19.104156084386542,23.145548493400476,23.760158353413267,26.50663856866204,30.156369482833146,28.21797411069856,32.706588546367556,31.16758928400553,33.60823472763529,27.887651447351786,24.598955794041366,21.691567816355835,19.146652129514237,16.337904164213736,19.42449973981945,17.239204069154148,21.536484636911045,23.094883678107127,22.43188823153803,26.349058540357756,27.327513334459457,24.74421481328224,26.899494201516198,28.090862911372014,27.753725708442115,30.927727386838086,32.117781114923375,36.94031830152173,38.31111686837747,38.043629336837355,37.26313058576507,33.92238973335249,34.231970282216146,32.96735639530539,31.976781121861112,28.737821357783023,30.138344211541792,25.478631005036714,29.785573110822337,28.560370744737533,23.853243955397637,26.618005859222993,26.021564424686595,24.282276521743185,21.155213971867028,23.57831334300855,22.960420563590027,27.957464364301245,30.786693336562404,33.02417041945789,35.94261422834507,34.99735323126867,40.308471561288016,37.530570533780505,38.86519670019547,35.47812064675732,33.79697391422854,35.873835153121064,36.55057405005138,33.27100454178496,35.66292491741903,34.7463224059796,37.85732573585116,33.33891515875498,35.03645554193504,33.91958347788173,32.68711812444837,31.953235688237257,30.815942473178378,32.275733069531526,33.12627758205112,29.508998203009924,32.506588253297835,31.156299951282264,31.934583964368713,35.22247435666325,35.45939665652642,31.382609752297515,31.589121067530183,35.58869690443842,32.90670731505617,28.278619679644347,32.94046715555861,36.65896030592773,31.24181450445116,31.41847041206708,35.31397233813394,34.081108978208924,30.368329758429716,33.3937947338029,31.485817567602954,37.463782199065825,34.074062854414294,35.25753124395802,39.27973509860221,42.60757631005248,46.72731391706182,47.42428374567528,48.19101105685389,46.37047309994052,48.4773931674175,45.93296733202506,48.604507697803584,47.492881695628945,41.41658122818737,43.33758761613969,45.39270502161949,41.25965079200591,38.957690612996686,41.186711773490615,40.46863358819409,36.641355496948115,34.98871752975692,34.049731699297496,36.786144444873024,40.28695749615711,41.250229125193655,43.682415388421106,47.45966004366368,44.80148356150945,40.632240685587234,43.8832101329104,45.064332551238806,40.1776622558849,39.349393364010346,42.629741230040835,41.243065957919974,38.010148289372026,42.39160325757035,43.657027534996885,39.78158546852274,40.3041291855831,43.992252615535556,42.00105126196236,44.27667343732404,42.59015353386869,45.264675377632365,44.31852195664316,38.63430462754916,40.821072577100956,41.94633113571139,38.98557257614746,36.28467381211768,41.32635518927768,39.95852404915559,34.56940467070265,35.67463488962924,39.876929909107815,37.70241871851499,33.71843095646891,29.751530154010744,31.913492621709565,28.22207165327761,31.425837184997377,26.83627505510685,28.216884125964842,26.006054002570064,23.013439524464285,23.25864066920587,24.22025178720695,24.237229550398602,27.922560361188147,25.01378196119159,27.65059828175525,24.45506441288051,27.015935425756634,31.535796020922117,34.57968309940024,34.75771637673954,29.77556816269613,31.749861117637934,34.70287745061143,30.553548137637577,28.421944961525067,32.9007599993131,34.88191504246427,36.27170670348512,37.4074735792095,38.834467830605576],[28.600639863754086,26.68622214324624,25.813568930643832,19.853647810291612,20.92718716739221,22.476312495638034,21.284258522026963,25.317120966443962,23.48918900689012,21.30677717996093,23.675243628525635,27.758087018933555,24.784689260239865,21.482041057148614,26.173064745425208,27.65169519545541,23.935643711198132,26.503910409603485,25.617632912323387,28.931155205158646,30.710244508086962,34.728340734770725,33.221951343960626,31.031720823925035,29.241505686280597,25.98519776143611,25.711541315544665,23.609847056604085,26.66270836172732,28.808306564571318,31.633195855264706,33.1432155096725,36.938889225074405,38.93550820336767,36.29493234598268,32.9380694858207,33.43297170111055,31.097573033261934,29.73145247269279,35.129349005654156,31.32194795168134,31.376232805255796,35.38832623189356,33.41417778127211,34.12108882818744,31.910286988079932,35.74545166515453,36.2184626213981,31.50760191384698,34.50320217764955,38.479238610925584,38.95430183187222,41.63534524133483,36.93636258917755,42.2418062191259,44.378965473915066,40.15044607830803,40.58125921450841,45.32978351041643,44.306431278086166,40.67964817362214,42.83546266734302,41.934997487475485,42.05767481027843,39.25518790584438,36.76901577142987,32.977745960820656,31.61519408761495,27.9372303694729,27.620614920974795,25.72906341239349,27.715315911687824,30.696443740675296,32.623043318389975,33.84537352875728,40.15757475983024,38.51775805132468,42.48694870042523,41.189314204202354,41.54397924311035,40.75606702245426,39.491470987925545,39.616353455376945,38.31019784867497,34.23881633719774,34.33131895631444,35.24906305370162,37.80348959276168,36.02011036980469,40.50351259731494,37.590001316692316,40.42131679671175,37.879987410391216,37.14034686609697,32.85633679339402,33.78352469343107,29.85320196583194,33.59522443408943,32.40191429648846,36.15341664989492,35.38972120780403,36.09516662499856,35.47118157236573,34.98814283615501,36.44948909109158,32.988161393093904,36.15107511160946,34.15658772014564,31.70238815411104,32.52936637618756,28.202291549627226,25.96416203623231,23.18820472168989,20.592851686748787,19.69851363857923,16.957559587410813,18.992704169855134,16.56856566696172,20.597884873756293,21.66360493697178,18.352210112430566,17.578673274823746,13.408500692592098,14.579819475306945,16.47810380931315,17.65462335826433,22.10104678616338,23.085190523792136,26.303925100112327,29.785894795457228,28.80732193338141,33.30760933704873,31.770202789006433,33.497210994476816,28.03779912297052,24.24892274757627,22.386983663032733,18.98443351143879,15.603510306550186,18.081640540702395,15.81962481857951,19.94569105490233,20.68853317447708,20.197782046540908,24.147410308528524,24.649660291921172,22.203499179711322,24.237500435036228,25.84088369277015,25.252609485438196,28.869176630723786,29.556125665043428,34.57025479965079,35.71780177690127,34.98772975161674,34.370517527756604,30.94294746605767,31.803589345488408,30.198337720788132,30.05655649947611,27.110861967958456,27.875885715460008,23.79215383074399,28.080919157573447,27.73469710725405,23.6409985266548,26.97687715936585,27.072806117730785,25.69162581241627,22.045050313377875,24.104480286254464,22.633533432812836,27.2187383914965,29.605328258256307,31.333177027530112,34.08645463512144,32.52658196980539,38.05243861911772,35.5873413636062,37.260047287581884,34.33850971602467,32.757665426162255,35.451889436454415,36.45783324418591,33.02848735633426,34.97066570184741,33.494337603351134,36.93830791352605,32.756087299469165,34.96934591994613,34.40609102009384,32.86224351248962,32.75262139971662,31.761831298260994,33.39860823256819,34.63185155189517,30.915408016725554,33.88587718424545,32.67083657776083,32.74601685276027,36.362785484197374,35.99209384402388,31.861348503065773,32.82114382447509,36.602861659110594,33.44280159068365,29.47584612759437,34.27820755209317,37.366808865439765,31.865673717825494,32.55765678293193,36.33769193932183,34.49969355143141,31.13792068587566,34.69076142549422,33.14530107949162,39.009484107547,36.48972426715387,37.251674715181736,41.12284598158132,44.726951049529525,48.84602743907346,49.60155326474035,49.93556382570418,48.06330320550318,50.0028666774796,47.11978022469716,50.10836791872458,49.358114487423606,43.09719201021566,44.84726002149828,47.41712707154418,43.468501457448944,40.86920880346483,43.08887121413622,43.00803404236753,39.18536214950155,37.02895310256311,35.89664466320278,37.86683896573305,41.42066717517915,42.20509291674047,44.20128360391672,47.86520396579544,44.78733208808351,40.94964427773969,44.28834141202835,44.954516921469846,39.96822354676976,39.62427101228442,42.63023402895266,40.95383168595042,38.0971441143474,42.76463445789311,43.70020827554809,39.699209307888125,40.83108347793537,44.65438811386229,42.96603766799834,45.22312066617796,43.430155441575664,46.460003215474956,45.73100508061702,39.96062980027785,42.27278376355349,43.824742588548396,40.90359594966819,38.183274226855346,43.541896190223845,42.52293470870587,37.04642645777822,38.142176314862105,42.68577364540648,40.77065377873505,36.740688356518504,32.604042814100424,35.3429135716647,31.605385762323973,34.365420823519734,29.440207916462015,30.254781725942486,27.385005445501037,25.12299143987911,25.563235296742665,27.11366834951393,26.82255469282559,29.98262481843117,26.269675192902977,28.61856016631632,24.720951166980736,27.178912187735037,31.211819240053572,34.33490845788431,33.817215033546915,29.041739955919912,31.45811041968519,33.87259235937272,29.193659806169226,27.695800792154685,32.36390322758689,33.82882700873701,35.105987235388824,36.20346365333093,37.73972073437497],[25.204284066196898,22.93593617440496,21.539473444752492,15.687053214445914,16.250619301340564,18.482390607773564,17.443172760424403,21.6905954588862,20.597801792066,18.86388107935391,21.7834114262387,25.527320175456254,22.505796607714554,19.94138119004906,24.89922474819066,25.989924634606304,22.366090644253735,25.531810596546215,25.345791793417202,28.090605416056047,30.36414863663723,34.200307055318305,33.00346535012389,31.06197862934099,28.683095419607202,25.614420589004204,24.55371421756752,22.169508457627828,25.067031575218206,26.761085571929517,30.457402504392206,31.126504972047933,35.18020698450316,37.48708409999042,34.549749417221776,31.40273908899987,31.217360851280706,29.272438490952577,27.783353981331658,33.05973152760671,29.590046249748497,30.290231024768744,34.301414952054735,32.4394123210047,33.677054861832396,31.538548729199338,35.29527770722362,35.322182727032704,30.299770211869536,33.138330077612956,36.986722669313714,37.0226121747068,39.88020745021654,35.1051084269478,40.26704631362898,42.88146042492533,38.959684014554256,39.10527769264916,43.93554182741722,43.369687115908306,39.88900580545785,42.136874341771325,41.14305846932985,41.84582831520789,38.91837321069976,36.016689255463625,32.868381750804886,31.16258856069828,28.108666700501534,27.57891771476488,26.200702656108877,28.735734306752438,31.10671432938559,33.06980062090284,33.58544819805567,39.91857873751862,37.81280040883317,41.58349069441003,39.94731614963097,40.11943078752161,38.796836200072576,37.296800258991574,36.91593327768492,35.50201264973012,31.650092946784017,31.872538814997498,33.39592083947893,35.699541330992446,34.62544101512568,39.11014114289342,36.615168435405224,39.86180772318368,37.20166154462913,36.11478037367329,31.675252557678895,32.899748906526455,28.82148079913871,31.854931835561977,30.229908260857357,33.53711168985934,32.78280324950982,32.79749044636692,32.36762544822392,31.278768355216126,32.58805792585459,28.842847344244284,31.769975144116167,29.620468956733617,27.025149415388046,28.05359074079279,23.71933790002168,21.79751557086169,19.311377386695714,16.888871320100087,16.966396901790766,14.444316675555234,17.33697324582658,15.448158571727713,20.498539441071628,20.99573121329807,17.90650717032537,16.452538657589574,11.922441934781238,11.95914668036557,13.102735886399527,13.546114300845389,17.67760471816553,18.5932714845288,21.68398426775714,25.39230122005735,24.18343359132458,28.748994584704977,27.48278129659063,29.29162022060327,23.85700636262616,20.070799619276986,17.83998208491038,14.862456292002973,11.949723774942163,15.064689819953394,14.118884556079989,18.83944237435761,19.459179404890403,18.186972741109553,22.090576820143557,22.40273877401629,19.611798905161805,21.32397455824239,22.403412551754073,21.838198315536182,25.079264757215178,26.186857362379794,31.041384152630773,32.51275306904254,32.12670619629778,31.288708906037527,27.95786821623826,28.33338376771095,27.142675438864348,26.353109153155245,23.508041084642826,25.015472443367198,20.874456161940053,25.367791150083402,24.774830337205568,20.831559865227472,23.639904576313114,24.016525187294256,22.11610989114326,18.47882477332891,20.275943029744337,19.01038508589743,23.734683890227597,26.163398103954606,28.082379553557445,30.709629233774194,29.549593608324088,34.991340580663895,32.57396950122285,33.932002288475296,31.028404850633304,28.912188591692058,31.62613232372978,32.7589617642722,29.48281800282757,31.997672478305127,30.9904993595542,34.52199740159232,30.695624407970445,32.38321163438189,31.660338093342453,29.76344081182382,29.271117010972898,27.921858861806797,29.303542454132803,30.322643914840683,26.392120663500307,29.209451349297893,27.86633334266,27.905926612973737,31.48791537148662,31.15374210809294,27.0253342904565,27.970734693487387,31.78300117589689,28.710676055439826,24.767199803699864,29.60188843510009,32.75079034672339,27.4145945738927,28.17704225483067,32.009020324243686,30.319187121706165,27.119970538102578,30.701658058696612,29.00540358299827,34.83538562464734,32.28068774515512,32.784681121644006,36.66879574852499,40.17661659342289,44.392914308412884,45.01047025261316,45.20112142178306,43.258592537597266,45.151276028758005,42.24774666328078,45.251930362910514,44.535602156083065,38.2548438892132,40.004894613756846,42.65739387976065,38.72788277961241,36.09259043889505,38.39976489386484,38.42701373138115,34.57869694449671,32.41709870324311,31.11095532268194,33.07575941243112,36.59966221994662,37.33935169704933,39.38195894591399,43.058205192795974,40.06361372058788,36.15143140473018,39.50271466867025,40.281672256824706,35.30985220768188,34.901159587751366,38.039893397029715,36.48966334566869,33.575566681107205,38.20772234881164,39.307549421404424,35.464445532676265,36.457476630937705,40.22570142175764,38.425265019095285,40.551756555432895,38.66286420607315,41.65217566463523,41.03636812520668,35.24750994503143,37.454682936054695,39.09577967865001,36.24185316851563,33.41807438160755,38.81769982119955,37.971482956690096,32.47730467819107,33.4906883556873,38.16076451930786,36.42456561230552,32.39171407094409,28.268819319020558,31.341364410105506,27.762518009837812,30.409052389347362,25.410598514553712,25.861465396671395,23.042772537919582,21.02948920057087,21.21212073126937,22.874163420254234,22.307703728912614,25.26193043585809,21.41791299595905,23.748378586016724,19.897206203451116,22.457620113223573,26.56728125079148,29.717020625654314,29.44611018004288,24.60466471231931,27.031139005024997,29.676866102299947,25.171547883160816,23.642092327078252,28.33831362601698,30.086892538672778,31.482456438782023,32.7363950399693,34.216366346041625],[28.915756771241778,26.296905115145346,24.271199604448856,18.845608171358773,18.35688479580658,21.821858212842535,20.580771740990837,24.71334661093772,24.23305904746736,22.15980813730788,25.203832725051473,28.816932667504453,25.071602132152776,22.963370880007346,27.619398885848533,28.264495901185427,24.141961902046088,26.86403497544964,25.968274319188666,28.30465459337378,30.125301545582712,33.572293940138,32.024864032629665,29.685107533450033,27.47436257246597,25.020870700469715,24.09476834203538,22.50661849440244,26.005832177977997,28.18250648997714,32.33537551891338,33.01641614630293,37.26671028001697,39.15073126089427,35.87160837167545,32.401563121587294,32.188770811674736,29.416890858290298,27.38124256855771,32.010614840470026,28.293564386047557,29.56761847383789,33.18739265351399,30.83172455045793,31.739671526574643,29.145719154939712,32.67290517288315,33.15290908805408,27.998667275327467,30.30254931534715,34.55872638859774,34.70003500589788,37.841638365070786,33.41675817743801,38.89238248862417,41.25389655631274,37.481637933534714,38.229031695073296,42.93238663557157,42.001721148773065,39.024288029827524,41.810869993338116,41.3036903234354,41.780171973003036,38.50475100607594,35.926167593222665,33.173506287457684,32.02952138706205,29.18376309694715,29.387018169428988,27.9766094985363,30.634260812185158,32.91586692922113,34.20675844637715,34.94082418441799,41.00307676556426,38.4752577380855,42.46932694129835,40.47819008328646,40.12452037247137,38.92988419157944,36.86454783316904,36.74536693178542,34.72799967575445,30.851036877778892,31.760347426072123,33.31466919127074,36.21931396578364,35.17080162195313,40.195031762212075,37.930131363296795,41.3848540953806,39.10845510865569,38.32209630810495,34.096304292890636,35.72762554133425,31.853292843421237,34.53873013679671,33.04905047322402,36.481198125026395,34.97705288078967,34.85451999581744,33.78598487333476,32.551843485680266,32.93587034596792,29.487996842046403,32.13020898066445,29.58735660939099,27.51875869890521,29.01031763857135,25.160586146309353,22.963485128616917,21.384683516786964,18.296729656552053,18.922552955418887,15.764222995669881,18.327892246200527,15.559254629609363,20.79079312831651,22.221416200953463,19.550594639852616,18.71729811984595,13.958946035156309,14.369257985776859,15.963693022038203,14.933749176227316,19.627564392432625,19.445270255805802,22.088056130427393,25.27909625843349,23.491444177287622,27.857271819196047,25.982358786869828,28.38169624936867,22.60850334327226,19.44064293910139,16.859388139352703,13.917525827578018,11.04929566930789,14.129682641713398,12.156484284355397,16.679236507575286,18.40820251277934,17.500701225727102,21.318993595112087,22.613327201751336,20.06240014258395,22.536300578179997,23.736362497854625,24.062417468105668,27.282928385917593,29.137224474724253,33.80331163319161,35.91312786311232,35.41718587843615,34.05936070340044,30.5193523583557,30.411924501465872,28.924081983220027,27.495861069536513,23.78365826692985,25.214939396438663,20.236229706754212,24.47250208295182,22.99769494401508,18.251226655719787,21.027241215075975,20.609282444150566,19.00108656104222,15.67675748469153,18.107035096137874,17.440995390126044,22.459214884825084,25.414658182419235,27.826335664833014,30.93000212135104,30.303998249187217,35.40313800045781,32.3613854553188,33.61976882228648,30.018034994758917,28.59941214022737,30.426730131332533,31.00926931450006,27.694028745507016,30.060061677918462,29.263218769380174,32.34043787303505,27.927420632173888,29.495589264841485,28.432579584949266,27.087628538226408,26.46929956827048,25.440643772600307,27.06771995185212,28.230691828775488,24.814993485746058,28.06636716381282,27.234653163897637,27.92169975855002,31.64181251890873,31.937006160933343,27.90524069633655,28.578643082108748,32.73158684048702,30.263214033825257,26.059599040154417,30.83611682927739,34.53261872495065,29.619654514824987,30.15920027376797,34.12354657654238,32.98641316192643,29.795021531495987,33.01090684999648,30.856503543089417,36.72780218111744,33.209696665561985,33.80501545096845,37.86900798369344,40.83937575384155,45.26193389875987,45.487090153471605,45.781584656889756,43.5749167464272,45.3251918541582,42.44827285602266,44.97507430710082,44.24908031561345,38.11333827485462,39.58349721951851,41.7715491668115,37.92157854813792,35.27337522767992,37.156019207798735,36.95226553524512,33.33156563626712,30.90253424023904,30.398959099114418,32.54753913941097,36.18376354296395,37.54508825970794,39.75647269062608,43.79185305955643,40.927371884196276,36.878357841462964,40.625116243121276,41.746883187910306,36.837058044743046,36.419540983455676,39.98781141549891,38.771946455604656,35.756117740941676,40.206149387272895,41.71261268477903,38.194587734818924,38.757431338940975,42.34639253045101,40.18891590380241,42.014975514033246,39.87708272075433,42.47045590856571,42.10200128744661,36.35773972680442,38.00633308782034,39.53697553758897,36.87168760314265,33.632250965938184,38.63068027729849,37.89201134078959,32.460092736173124,32.908829995258834,37.4200787175855,35.83696537616908,31.871919513876648,28.187540771953127,30.79886130343479,27.619492696432008,30.936951183581115,26.320016542076136,26.961454346703867,24.925705740783936,22.480285057463178,21.99473896881381,22.87350510938772,22.03567140063368,25.321440876328523,21.994161630731906,23.93622011176507,20.76229079440509,24.179848458945,28.227933868070586,31.570062432983196,31.689958714512777,26.942046013768216,29.528744787531792,32.541663867255345,28.23240009952202,26.85824272337577,31.515894474821884,33.6080936475149,35.09238408669623,36.39329567657887,37.71392551613528],[31.869019210289718,29.493157957825787,27.693187219070577,22.0472532769421,21.57752813175127,24.217337429278007,22.427386938494045,26.24635558955283,25.12031440093285,22.351399864406677,24.93391223585715,28.828508977855655,24.83188352900406,22.19752241466298,26.505335551453,27.344054826854354,23.006810385437106,25.101992659015835,23.50919350113967,26.26887692126935,27.646208863319927,31.243380761323888,29.44820046578035,26.925727506949915,25.182221028792654,22.538994868708937,22.31282443302899,21.027029235429165,24.737429248901982,27.42948024645849,30.869693894866103,32.3328117689121,36.38528122204181,37.87522188351425,34.8047625815652,31.08321334888435,31.53830065677297,28.29911606462474,26.38417401441539,31.180850861176232,27.13604007070126,27.728462824954384,31.375081945158186,28.96538946034565,29.454265236325035,26.888474211442887,30.560548170332176,31.321422131739418,26.48745504264645,29.121676440780604,33.379393828834374,33.959195002097616,36.83606508760009,32.42093961648883,37.99471369229295,39.90573806411769,35.81065691761755,36.773695765645975,41.410898203250845,40.08962592796064,36.93844474122005,39.6409413159459,39.23277675635857,39.21989723887114,36.02783145039942,33.801570591440814,30.553124706131804,29.75219954227886,26.47156724360896,27.008586891781523,25.240273244325373,27.593606718311317,30.218863764473006,31.314392634924225,32.60405075083716,38.597228326970615,36.37656688496855,40.56970338904166,38.833153670423506,38.612828326769964,37.94573595642762,36.12645791685409,36.56720172147931,34.71168762938151,30.582312769041682,31.307289662676848,32.217040640603756,35.406175382621626,33.665598885882495,38.75871380449519,36.16288871784829,39.31730139533978,37.231475561240984,36.818060554571666,32.793987378987005,34.325245955551644,30.660377376019905,33.82835972637574,32.80819225656644,36.774756151984036,34.98842300220541,35.6426382011645,34.19065165458674,33.71767497164911,34.25249680226508,31.25218054366574,34.30658443318595,32.09958994992164,30.324961342041494,31.39120183160274,27.622086131474607,24.797160776641505,22.901524431351437,19.454920702476294,18.98237191134824,15.493189943325362,17.13577658626315,13.76635022762428,18.14347783900282,20.189613753538776,17.45423047776892,17.345108114303894,12.853257248188834,14.400448372136953,16.947771617653174,16.67181784919851,22.024676895811343,21.839569576551753,24.77111928635747,27.53150288270669,26.42734402328045,30.660995363334212,28.439805714075863,30.430114003190255,24.7769911845256,21.455091506914997,19.8458266172865,16.03835183255356,12.462624104496031,14.536795658570163,11.125062280029217,15.015279886489214,16.711482771082537,16.605412877778903,20.468953190850975,21.945216019038348,19.790834416919598,22.683200859057095,24.537993474292627,25.002771006206522,28.753455814776306,30.31949760518382,35.15435177529688,37.20242711863968,36.16721928828875,34.81801298276977,31.065293450430833,31.416830188880716,29.335974412884216,28.63425662919397,24.75642536142136,25.235222366238503,20.392296393945532,24.382202499034392,23.413690333756698,18.797002355447535,22.355263122810342,22.018204076510948,21.21553028565008,17.67391231863189,20.12291582009908,18.83791979257657,23.480461705176204,26.24537740649813,28.336333451481757,31.57892879437346,30.47738401306889,35.653768391324654,32.55737124843958,34.21776816094729,30.686907248236174,29.93953299924476,31.88809790587352,32.43383283077991,28.915193905229252,30.49063790596616,29.047355044489386,32.136518111924055,27.5097539632981,29.77407432795379,29.128085110214997,28.006480597612825,28.094061409516495,27.546552457201425,29.534130169039837,31.152724067417186,28.00790773159222,31.425204453718052,30.921503463626287,31.31737009447656,35.31164439542172,35.3542011663121,31.315770529801526,32.432482755305,36.51274170174288,33.84650847101256,29.987359297932297,34.829211187297545,38.241901980907144,33.28611009921489,34.058682496416615,37.97456148077665,36.52525860675614,33.44837235883547,36.89910391647188,34.9189486359905,40.77070022628989,37.544015390863045,38.04456953755881,42.06239364632416,45.111070635032505,49.536109297217024,49.75823416689218,49.88143910756881,47.599745782480504,49.213719232241125,46.13367653308604,48.703269231838895,48.203951676252416,42.022317156704084,43.28053267893734,45.616964758113625,41.920724138921884,39.102358417611356,40.79030990811049,40.881161077312164,37.37371624135432,34.54784944766429,34.252478770403,35.91540850420682,39.62282269487124,41.08178006657213,43.013542407118486,47.07731709974924,43.92019862705595,40.10430642803214,44.02879577553702,44.84848939606715,39.87629586124314,39.8221053184185,43.27386023566243,41.9012309090731,39.12719518637004,43.741284268584266,45.07467549255102,41.48124190589218,42.38519668163793,46.047034167400334,44.0322724168214,45.828655819575815,43.59439768366205,46.324561661389055,46.11358952743742,40.333991722184116,41.95956228488323,43.68619373952386,41.06653802380831,37.76069185528787,42.81390906688094,42.23591982658414,36.792885413281795,37.1277341400858,41.72248465674398,40.24912135421871,36.29169796728611,32.6157228492813,35.264451073180304,32.06898623549246,35.34407192087391,30.648729962040587,31.199290609921277,28.89871047562333,26.648861959760595,26.293144957200774,27.300416640990512,26.385099285474034,29.515990433527417,25.870889021397655,27.528297786798895,24.021674996414962,27.534407624653404,31.20669516483836,34.65574567386739,34.286824519803375,29.724757426763762,32.66600517951999,35.327192344636224,30.6072471165724,29.7079823648133,34.49593807730697,36.218502719213895,37.61283086667707,38.86031508194797,40.23759112331648],[28.148134268087293,25.998077246572656,24.34527624219969,18.64046352540078,18.157521387498722,19.589716729523985,17.4040405445741,20.9984091851122,19.453997429313794,16.587390450880417,19.112031579576257,23.053751783648046,19.342824861420343,16.525200538317517,21.064665030857718,22.09996387875558,18.102279159605374,20.759536681246033,20.142490016746397,23.08125648739635,25.187740491635026,29.13373981082287,27.920717494431297,26.052339001486054,23.784960664162924,20.495410118468428,19.74687956805365,17.472706068445437,20.561109816443988,22.757081543974707,26.050005177123577,27.326156643718097,31.297839183867044,33.178518587594226,30.303944998448298,26.90130590652832,27.24304706947245,24.864057627500735,23.500470179193755,28.997648724905474,25.355371774689928,25.486680699101697,29.587629336169428,27.84164846713462,29.009979459073524,27.12948629629298,31.026812347627928,30.941649925198146,26.199890926858952,29.47105856863612,33.08573038759407,33.38690261468919,35.93562111206249,31.07120597433889,36.20937225039779,38.56299487004887,34.40847457008122,34.555476973664774,39.36223315891576,38.646100868284655,34.97170669643097,37.10924678875315,36.14598372658683,36.636056661065204,33.76140184640579,30.989251182744773,27.621261226576642,26.0827179812171,22.899519310374636,22.67066008024058,21.194492674237143,23.80126398338989,26.139798194647227,27.853734358223207,28.580576728167088,34.85039803095872,32.816641569820966,36.72952397124456,35.2053211003566,35.45207729037688,34.506470153300924,33.226771538686556,33.32066548029749,32.10459460972773,28.02243664771069,28.02310611873625,29.014159550890913,31.554036643417373,29.960694095559276,34.566951029985375,31.89621670828159,35.044084823255496,32.592498240471286,31.832370652568763,27.598501488045464,28.98076784223663,25.146828090147274,28.35811917117344,27.223058519918833,31.156374403446627,29.748798568198232,30.5736875455443,29.51600882746163,29.286059678801443,30.63193566707646,27.52148854932968,30.968562821895077,29.28293406025794,27.248854548122473,27.695423732500903,23.681225921194883,20.73562140015177,18.116471803682103,14.998077377485725,13.854154871318192,10.802219758570518,12.829604980117258,10.54046652370892,15.222302541811905,16.017541803931444,12.958804344277754,12.111367818435019,7.578670021688484,8.966419674870176,11.628688859740414,12.56268296153727,17.85379388557206,18.350280258525032,21.748801072444067,24.688955829639667,24.51375847636232,28.839034805700944,27.112602349312557,28.28074481884174,23.070735756016337,19.070757225857264,18.320355134720646,14.113187587596872,10.363168359330253,12.232618535964264,10.491820441020545,14.783040986972248,14.875972360777611,14.059881390878608,17.99512749326041,18.34418142006672,15.914488475098846,18.137223048704143,19.997071533324146,19.88946819627337,23.82018286339485,24.91010964010216,29.865161326197022,31.67424400606944,30.495737427139538,29.35049894858292,25.661049643710495,26.38903519030496,24.391530611064745,24.310197893777364,21.15494093421174,21.606505056258026,17.66753733992692,21.937716176259865,22.039410864302962,18.539644511971318,22.137969983506324,22.972179220470807,21.89759734878071,17.876153109517734,19.479828014499784,17.334634450624637,21.524795126861694,23.654492850310454,25.18517359304768,27.963240799607483,26.33388116656914,31.82944427159734,29.343940885550786,31.1226806333206,28.35566186788091,26.968078412430017,29.883064904575434,31.065609011696548,27.57303732253263,29.275634339040007,27.609685071556868,31.279990906785034,27.558289234056403,29.876465386768015,29.722002370722002,27.806903132951167,28.152979849577033,27.293861144513322,29.0930059391952,30.760200929918952,27.181454083484414,30.232132528382863,29.51716119513083,29.063383533768743,33.1745805483613,32.495672660446104,28.43500688985983,30.22437337734201,33.95114294232959,30.759109276079254,27.605649627468758,32.49965672904305,35.1947677732566,30.18867931518811,31.462823087261608,35.20091894844354,33.187112434284465,30.526224407367234,34.45690160363465,32.87104661254786,38.514720736886886,36.330283054410096,36.34907677516655,40.140430864011414,43.53927233667416,47.88055400700784,48.2506022463754,47.937591520739296,45.717270046369265,47.23933816052393,43.9102780584578,46.93041770744989,46.71619121402835,40.367283004063545,41.62621573536092,44.589822784542896,41.02056335797606,38.002261691109446,39.93217065333396,40.64342859614329,37.03745886662308,34.021194067185824,33.0989457799652,34.091362709913945,37.732521209249576,38.72652218354021,40.264096363571795,44.055448721178436,40.5887573526478,37.075904983742895,40.86611576442541,41.19871483794768,36.17128175977015,36.46567178662377,39.565959192203486,37.91605494871652,35.47989366644992,40.31553780778629,41.30933327915629,37.62183013817439,39.07508896946084,42.839556832219635,41.158024460121126,42.97546153257414,40.73571773703793,43.858138911389005,43.762082303361815,37.9489772415001,39.83430902696195,41.954689621641876,39.3424587891962,36.18704408140342,41.62331067080805,41.33996997630654,35.85234698228972,36.39205586999498,41.32697715157077,40.0674803303573,36.08058136963149,32.141992539865335,35.529710859186416,32.23783535286241,34.82351779246654,29.775231387403096,29.655711316096163,26.659688576765507,25.286842951806822,25.19929513955831,26.957212470351752,25.829766851841274,28.27581571184331,23.834050363552365,25.37019863066481,21.132060192794153,24.218137856809516,27.471303969682985,30.87474551594364,29.924163943637303,25.539454114331075,28.750184929716074,30.919923010170606,25.85625548411875,25.467770728939495,30.339491088481992,31.654822287168777,32.97715871949044,34.252217483828346,35.71717406947728],[28.0759676831643,25.363654068702388,22.773729579922996,17.661333811261056,15.78954610887491,18.995950302274125,16.93225296174451,20.615846603408716,20.447511082793614,17.986886675214166,21.129243851053907,24.4791908159538,20.27119967618302,18.76496614093844,23.194842168434,23.43229000155775,19.246968303723662,22.122513485447783,21.676049443757215,23.57279638489771,25.786478788580297,29.15335733672915,27.973821301985843,26.043383214423546,23.314561700382296,20.840685184792235,19.321896050997584,17.490881569737233,20.87626652923228,22.92356982399424,27.513610165246064,27.850092922319067,32.210978822640406,34.07515143647976,30.63370232487986,27.235193283352785,26.77326925368259,24.142487628970947,22.148685970196965,26.91883355702992,23.443465136275975,24.844332557953113,28.574488678491843,26.53043863722366,27.984769993648353,25.800075107739193,29.3956191031659,29.2176103703434,24.0271702990409,26.654041719245125,30.476166385387334,30.36963917258894,33.36655420272621,28.708458727429516,33.968864933714684,36.636089471538554,32.9487173958907,33.3016421795461,38.0777439506588,37.54311268547076,34.46423737238561,37.139344136867685,36.49069579096,37.384784093859246,34.119186291465205,31.211260091192454,28.889252554720887,27.49105180156356,25.185908364363875,25.33271473755154,24.370645549030897,27.471297648668166,29.141287718132606,30.3390877212234,30.535005991123267,36.51950219568214,33.69761521173984,37.54660132004711,35.3884465837602,34.997422528325835,33.57510759752614,31.542609268899774,31.282494920606236,29.407379132064708,25.547620746020375,26.31328275301672,28.039808823016713,30.80191192854688,30.035323086670413,35.046762799700126,33.0342738246424,36.73377717802208,34.48714716400994,33.609577822946356,29.44342816281568,31.39770487643976,27.63666344362191,29.786018635770933,28.29398861256789,31.762748508134077,29.817077719252502,29.722438725361837,28.37293928463493,27.297667244973724,27.662310502582745,24.45210612923329,27.39396448528757,25.173789051578552,23.419674268976973,24.502358041912466,20.888101005659056,18.06408511001713,16.663206541178507,13.14456910221468,13.872350216696148,10.60269487177487,13.364502266495089,11.026320737668497,16.838904434846995,17.79862351095863,15.524135180429472,14.506255640545215,9.847756966120523,9.896846672320425,11.760724014209467,10.15099511338816,15.61139462762113,14.97644673172751,17.85465055114106,20.621038707633474,19.689330869397615,23.966362117540026,21.997264672920238,23.774188436098,18.20325402245389,14.654539218247024,13.222565409667254,9.245568769264937,5.7971749519708204,8.756787772192652,7.9505372210171,12.880468420985558,13.874479370603801,12.376587394907478,16.161253167685246,17.21775696073188,14.58767319704005,17.11424209778752,18.402616142558532,19.133589832894348,22.538788777238505,24.72256109592597,29.289800561081584,31.897540946584158,31.06913681475784,29.31452475429528,25.624963400856654,25.375848434798254,23.643445051814524,22.209542984560613,18.358255300000533,19.682295087075136,14.820894224405105,19.172611374722624,18.141256005981457,14.046673481754695,17.068819199453632,17.651617336370492,16.22224118943976,12.29792418622254,14.134155384115756,12.647243585355106,17.422058077481015,20.13549919586856,22.37426617845786,25.448844537143668,24.775613082204973,29.87166895997096,26.88839869799469,28.213819072813894,24.82523808944886,23.399138498034116,25.588571879306777,26.45901336255817,23.059922084408658,25.33655224877809,24.398550483578592,27.803234615901296,23.95706665227637,25.58755836430059,24.971507515547017,23.068407521350053,22.889037974190195,21.877954846016397,23.62812523712726,25.214634293134477,21.792928248602685,25.06697300673791,24.648006177273167,24.67059616336468,28.876395839781935,28.752583384846766,24.76903285708594,26.3217818087515,30.34618967210741,27.74442846337776,24.41383635680285,29.256150483297077,32.44373777378938,27.95499834325731,29.087022250201183,32.94753252820692,31.539158426912362,29.029376437665572,32.63798946467824,30.57835475175677,36.1798668201347,33.23654457840923,33.09877325413346,37.01631813728348,39.89830206851063,44.47617074690336,44.41858789787953,44.074417063044386,41.599484740955425,42.980799986200175,39.665931934392475,42.33070581360758,42.124245403663046,35.86825871040998,36.91839319399153,39.59758412024427,36.10474092285251,33.03829869784464,34.72489805960238,35.37197230654056,31.91823635369584,28.66621685328045,28.202459139895353,29.327069118053256,33.04715413646571,34.493517457471256,36.23451327647546,40.33071833717056,37.071368446546494,33.34565155671337,37.45662769485465,38.20252047450037,33.24584053482044,33.433877789511286,37.008307967594625,35.76229918341959,33.16678610127555,37.789937601491594,39.26584687715074,35.99277903509193,36.93294521570881,40.4872154388789,38.42118591575751,39.88984115167804,37.38344792582581,40.142273520389004,40.32516575626876,34.55014941572258,35.89773135995675,37.99970968202525,35.60033225331869,32.03989402851284,37.18970241250423,37.145172668747115,31.71552781326472,31.73902188237355,36.657241249073195,35.68733424239342,31.776774510170753,28.21821266424965,31.54701318340444,28.734955001079502,31.671669246162192,26.90888226376882,26.597275474579106,24.29827541945823,22.84959304656739,22.012914619350404,23.269172206578205,21.656000078917643,24.09532501701696,19.932788244431176,21.086671489608374,17.45760724814546,21.39278211712865,24.67577145730072,28.25258150880019,27.920833045048095,23.54381550414371,26.83758770655036,29.548999896655705,24.909439754885035,24.536145466821637,29.329927921405204,31.209366137487695,32.711183800530904,34.126877373883964,35.395465136456586],[32.77917112704695,30.03847964996774,27.457840863336177,22.36324991778114,20.563618562008887,24.090356582763924,22.011242979002144,25.570612359664928,25.30079790240505,22.46166065165029,25.328911095002958,28.801026930709014,24.22229581511916,22.530565198095236,26.55666731892346,26.731411904961547,22.168874041380914,24.207356888022527,22.626665796157532,24.52666054532352,25.920393010826047,29.019387047673874,27.267840814353068,24.744805432705824,22.627631916031174,20.66153648204513,19.9081539434714,19.119849960376122,23.095205523773995,25.837635386844326,30.129194929153964,31.043399571059787,35.340556614484804,36.642516201763776,33.14977960751893,29.36631929354896,29.372315283116173,25.761288666575982,23.373991096068302,27.547197754959853,23.591181241342362,25.050921526147103,28.371092450910442,25.740094283400463,26.454258022324595,23.71632421578769,27.162798595309713,27.792192549611947,22.67826412177388,24.889307203141417,29.249249072903243,29.602699900484208,32.74286934991784,28.50427139377317,34.156657737153836,36.21573397561303,32.450398186500614,33.602798487955106,38.18166620043863,36.96446317967188,34.27589581604253,37.39369071437269,37.26923055388893,37.54722302337818,34.044680406921245,31.751342736690287,29.364453661263916,28.73740222963743,26.211177003857305,27.144888157291106,25.82437235411934,28.654896894467807,30.624021774885865,31.197961370779904,32.059116852954446,37.75538912409885,34.888449020486995,39.05145464399704,36.82423448054695,36.08731982717795,35.17502761661176,32.81599132625771,33.17195351646421,30.844471706966075,26.841155631281154,28.141122482811888,29.41828582022238,32.87578241459309,31.633097595319228,37.079096035234535,34.99224418401323,38.5668941288163,36.73671974504895,36.33919282452051,32.47303969940836,34.52709147462975,31.029327174741493,33.372678703374675,32.26076525353758,36.06185013894984,33.6064947557732,33.84787657475736,31.9211197680243,31.141737001721825,30.871803985149626,28.141362110564003,30.94098301421162,28.535869375468536,27.286208309536697,28.598306117239105,25.375927912989543,22.318353234120377,21.350453657997306,17.488381433904774,17.880738178369132,14.18197037994938,15.87527476702287,12.372321727054159,17.402998322397444,19.641021517760056,17.60152506134315,17.55618417646808,13.101831747843077,14.17824288738234,16.621040776170666,14.870482692218589,20.460906511754015,19.282394167595772,21.788806674731667,23.95929962024307,22.696688237757176,26.649816571330035,24.021459449117927,26.22834626354089,20.509757678779287,17.680256833930226,16.228698074563784,12.388223940607155,9.13222276834,10.989229343779462,7.537346758267685,11.551426853848536,13.977814892278648,13.634756844966759,17.243843117177335,19.377630324764883,17.337070733149776,20.62519885244062,22.32149286066108,23.599733931957267,27.13769444460581,29.496620147476552,34.00310928342006,36.791882258094596,35.72763753226964,33.79249954770605,29.94662574552262,29.674891847830057,27.510550140596337,26.056023944407197,21.57806153536764,22.238661744310228,16.830030485096056,20.604207458085686,18.9276772407897,13.92700620774729,17.366629218695163,16.853015499194406,16.2810051214388,12.824919604847254,15.457812864316248,14.476566733663603,19.184408203818002,22.269599590219,24.749470263788815,28.262124322506338,27.76824411047414,32.54675208458345,29.02986915173785,30.474552352542084,26.496557216231796,26.133573213912758,27.466097500272067,27.712034009050466,24.218865022800493,25.84119256329759,24.735378089053548,27.587874485803578,22.855441908948332,24.81370670392044,23.996174564256286,22.977601286115195,23.011146299913072,22.63716729480495,24.783357726442233,26.62736616817776,23.890959492948742,27.547194774827386,27.59260352434776,28.179861098093188,32.393790978967765,32.741928694016345,28.87305066991053,30.12307947612512,34.337484841743496,32.124582036104094,28.514943762027798,33.26805323769532,36.831573797296,32.468827025349114,33.34120315446409,37.2752401049239,36.16573874183741,33.46267761469712,36.79872946023588,34.516399531245995,40.20591496672117,36.58790908554818,36.73498238041982,40.77556761214944,43.34287043637036,47.98064482507564,47.74886678673736,47.614674384763894,45.01758295455897,46.33718244189049,43.108476725152165,45.366412330458324,45.103184097226865,39.02831917833039,39.881665767938,42.093893791337685,38.66042473140977,35.6644720960696,36.95399451293926,37.29592345492697,34.06910146507634,30.696730541881898,30.979938924973258,32.30564218105426,36.07378668615804,38.00271218383964,39.8582464968787,44.176928849016804,41.02024401528615,37.25117239406674,41.574521188840755,42.52871084905532,37.64731214293097,37.80346293446767,41.57609950215795,40.49333472070261,37.82205817945721,42.31217000240576,43.97092598477066,40.79549188125693,41.487994888750634,44.95768891834221,42.70497662397576,44.074526332128336,41.4952346364413,43.96593380457826,44.21020710594024,38.50250297185505,39.541673558851,41.448505489185855,39.131081906911916,35.39135062065764,40.174256266806815,40.05258461665266,34.71250998772662,34.413889709248444,39.06735220710581,38.06684756322076,34.229574266575256,30.9816619682618,33.714258237044874,31.067883739412427,34.54328502051324,30.08273160522833,30.214495402867485,28.391476524756467,26.39771211583634,25.368224984376916,26.021746815225896,24.50038799247024,27.35354763026317,23.777561898308736,24.771702794794564,21.712822869680437,25.96696219240196,29.243765107016383,32.86354959700773,32.70146354909188,28.41245251117034,31.673316927501723,34.52167111669003,29.966647713288502,29.535517024260663,34.28443921542489,36.25909083976035,37.76454122632711,39.150163441199695,40.3847069192392],[34.886620277953845,32.41933734045661,30.14862527011667,24.79560808359799,23.238822826410118,25.80452377998583,23.28359532262878,26.516829426209416,25.548304330518587,22.10697257686561,24.458761463459222,28.17473398473356,23.472382267955346,21.235660619983502,24.870595169834623,25.27966019894593,20.59131983234468,21.99272129881676,19.7536379819377,22.17417976010609,23.17222693137485,26.523356062240666,24.57975050173698,21.939086117085335,20.279528267493887,17.94844002763517,17.968206596287843,17.38281384546469,21.47289139225206,24.680682861635965,28.13584541084301,29.854954092466727,33.900686001294915,34.85222580685338,31.63763336984443,27.651159259160366,28.375568593055494,24.43109662861345,22.307406143194203,26.800060668235627,22.55698663938514,23.102819020353508,26.549762086342653,23.98387723642246,24.330596130322473,21.754172824273777,25.439318209480035,26.23641551176881,21.525652557933356,24.26474484690021,28.485196375039504,29.287321109828873,32.0473013449725,27.737655547697397,33.38844243493138,35.02499668579438,30.878751859410723,32.11304483166707,36.64996558228806,35.10862019836133,32.10938082055527,35.03093597579951,34.908987753118964,34.72546135526418,31.36800486784682,29.372120957992056,26.38550020500631,26.03047232831299,23.03450282346325,24.244180355952885,22.583528868389063,25.129678879411813,27.407050011935507,27.8508753477864,29.23531182663929,34.89982909703327,32.40513786326589,36.73902597889183,34.83615876835727,34.33971048890879,33.963302290558296,31.99945900545632,32.89763376606452,30.899702237735227,26.65779586188165,27.583926025250666,28.144943468474274,31.77748692984819,29.792664968622226,35.212323320268176,32.74972705119288,35.98838510677228,34.30358044541521,34.24724872188769,30.57759551903966,32.48619708570393,29.20308231539385,32.043082410260695,31.39899238790768,35.697576609415236,33.07738208786464,34.13342290951239,31.940691094252514,31.97838254307161,32.06418658436715,29.744086637330703,32.99202033978743,31.02621385472269,29.934492320852033,30.729516796457684,27.50359449434882,23.944524843990717,22.49945285557701,18.48351767919488,17.63587774433449,13.780271934558781,14.421840022710567,10.382551405789913,14.354901579100819,17.175306503459527,15.082513751135812,15.783879428249511,11.80586644602659,13.988044607513837,17.23266198564671,16.502212813587942,22.475307017645754,21.555731517026494,24.400734275847142,26.27444205048811,25.810082037554665,29.651040299426867,26.89801913630514,28.520488358027848,23.103544013598377,20.01512040867099,19.556677974512684,15.071552028784044,11.310888602751032,11.990361079775985,7.2665308429041895,10.250862283844974,12.293642933596866,12.881054625583369,16.493288755360787,18.590612761490302,16.989586684619947,20.53382176022977,22.871991807653465,24.114322964636848,28.14107613033892,30.068542338915208,34.73247994288391,37.34754392834393,35.77472963233198,33.933090041633065,29.936191091295935,30.210262435110103,27.509866985881416,26.942847733616862,22.54426567310459,22.187309277167905,17.229671291954734,20.714597708898797,19.88775524786556,15.458232204655975,19.612723505245796,19.45424929068896,19.58426193690249,15.979890739887892,18.316337786724215,16.57645341968409,20.652942135139742,23.32763940496386,25.30283298192061,28.814122820082083,27.70586362976818,32.60520992890527,29.193478237199365,31.077469416622563,27.390590156125082,27.55819856971422,29.225491100341323,29.578644176493736,25.939626606926414,26.7365296778534,24.877517262986267,27.83709077732072,23.108607637927353,25.833158271060174,25.59228331126597,24.664211934087966,25.463365481020155,25.477952861602848,27.859959620532408,30.057876880145304,27.452369588424162,31.10378366606007,31.293243527863705,31.467251445835203,35.869047004442955,35.844655297107984,31.96059424203505,33.64752790876988,37.716160064198775,35.19865599600105,31.932385490265812,36.757555190655886,39.958429783358895,35.46953499007996,36.58224752152677,40.45207584520132,38.96155509472807,36.35353713695897,39.96367978449911,37.91657671842469,43.59652841422801,40.41755057161459,40.47516493569916,44.44590721741695,47.208237055560005,51.79655900119226,51.659269991149394,51.35004623749965,48.746204838800615,49.97423296553374,46.56022856100074,48.96381599653649,48.90926912084426,42.768799664123655,43.49971133999934,45.95149209735866,42.637910592464785,39.505873414570516,40.7297248046614,41.38110194953987,38.19616149375327,34.57240806802412,34.82445045564719,35.68329518964394,39.47109294230544,41.33232398658602,42.88526079002909,47.132780032749494,43.682824806704865,40.179176888470835,44.56358898230161,45.15828613975964,40.221398304638015,40.7136077746151,44.279745003893225,42.98710813186615,40.56394390176844,45.23240846017629,46.648576264826104,43.34736306678276,44.43168348602675,48.00132540216625,45.95164113479008,47.35808532686604,44.74827919234043,47.42758396140657,47.75702115922295,42.00866938195713,43.15582664320862,45.25736069445316,42.93253503310608,39.23461620864668,44.159844325716605,44.142687410685774,38.76983722118147,38.52241370293553,43.28461316987207,42.325408480889045,38.46539553534809,35.09937417903568,37.96846929565649,35.18105377175399,38.50074315816472,33.86689325606111,33.90860220643512,31.69732791489306,29.916066338550305,29.142367255912433,30.072607209321134,28.57933888973823,31.270778056977324,27.327933038226075,28.197162969265236,24.711087871670987,28.823484916221556,31.769683921093506,35.428469834451015,34.73493850716734,30.624979063977325,34.1572297872452,36.60632597195557,31.662449744478536,31.638423643749867,36.494233521631365,38.06821631391787,39.46971520459261,40.79960009768184,42.104344976183995],[33.92190271308933,31.63524048411338,29.531033571799295,24.130780936312156,22.65373964442923,24.494798806285925,21.724976589490623,24.72597492896276,23.390976042853946,19.726112143808226,21.846432746213157,25.637064697430105,21.005798559882507,18.526543098474473,22.08253482700388,22.649768300770678,18.03448521281648,19.45420251466637,17.4095014125759,20.15285997387242,21.39900340034139,25.04799943236027,23.34832086082215,21.00576838647612,19.207705933837182,16.350098876308767,16.373439296367657,15.339089016822559,19.22214788287269,22.391238601228093,25.50320330261023,27.42668770635868,31.35919644729828,32.37203297665041,29.33114831848652,25.407818081025933,26.327806885863662,22.661817379242663,20.893136486572743,25.864830723738542,21.70911025494307,21.734076472184547,25.480373331796876,23.286506644635182,23.86630215206943,21.728509004517,25.60248646590404,26.00783150131283,21.49473214231512,24.733048168674177,28.54226656954796,29.321136901564138,31.794855030162275,27.23003360468065,32.67416731079987,34.40916686961827,30.107184735853824,30.94547868025716,35.5694692238623,34.227246132107005,30.84041197112509,33.41155480258464,33.01289513466964,32.92097276145036,29.764802226015817,27.585284916210504,24.309752255509775,23.674348810074115,20.517182858857822,21.48156955223637,19.809927293857786,22.388088088206576,24.67255545606359,25.375036170755283,26.685823576247024,32.506347925514426,30.22203070986564,34.49609876473286,32.79791960505092,32.606291677270285,32.271630787277715,30.684515409129528,31.58725255696588,29.996575269873752,25.700035066454003,26.153029015896205,26.5292601085142,29.91708930949224,27.747634044794268,32.94404249745418,30.310010558741556,33.44423096438859,31.629193615582516,31.531569122305882,27.823808707817225,29.621836875929585,26.34152297231917,29.370051549499458,28.841405574977266,33.2889423321793,30.77475573778278,32.15999258073481,30.056873766653997,30.45228975362368,31.001703987200337,28.741769281773273,32.28581275107227,30.652540977299537,29.47619624203703,29.882360925670465,26.553020069078922,22.82002740562343,20.967091100721372,17.04712187663887,15.516218703365302,11.772851546181924,12.107726112523325,8.247135837452578,12.045083014851048,14.551074883362757,12.272375856313245,13.0397235059997,9.314628210357338,11.912150003654775,15.445899501880067,15.436758094828688,21.442762051547053,20.85675089103756,23.971715236026988,25.858750867587002,25.972811209347483,29.8376346914537,27.28983515932022,28.41313830909205,23.261664013504305,19.806753907525568,19.92751513701611,15.1364075740929,11.211342607669177,11.478316326241947,7.334820431127218,10.223614056629753,11.128496420849983,11.667690126212527,15.346775107425485,16.88723026248981,15.307204458362648,18.66656678675714,21.223332323552928,22.233461835658737,26.467526680350165,28.063876766322384,32.79673087025086,35.25051373401108,33.472286785355365,31.746691344438194,27.7399888536513,28.34541779941092,25.50593537599968,25.484494991758073,21.426643410066553,20.7402307167107,16.33276654611914,19.881545328397102,19.803130581138543,16.122571904950792,20.41386422578502,20.891620366258884,20.978943696413744,17.122874496905933,19.019824839364638,16.722414240936043,20.43589088045885,22.7082974930911,24.271720510908107,27.568877945079056,26.028590331476337,31.11526138200309,28.01955409632824,30.09378582092581,26.86114768158068,26.85759631276213,29.061546253564707,29.741158770952985,26.082223337392954,26.744636216480085,24.580415364893888,27.847020003941125,23.59174191559634,26.52775059607668,26.66641464690473,25.356217794045577,26.443697983525926,26.37562327436537,28.706822679800947,30.981099708225948,28.1867132781937,31.673213919354236,31.775855026021283,31.503395243380098,35.98759408247862,35.57361220097236,31.67338849406593,33.720614724402076,37.6078849324997,34.79826057869865,31.88295735412239,36.739071415981144,39.56522715283148,35.014856217869436,36.36818419564325,40.14669880719745,38.33868810453874,35.9042344277311,39.75563302640251,37.92987404300663,43.52778731368383,40.87055803677834,40.743526276561205,44.606918122423885,47.57492411060057,52.12890577497526,52.070806946125394,51.55604996684626,49.00418113366528,50.192804301216995,46.645163119420744,49.28570602020479,49.38052257333396,43.14248447333251,43.87323784744205,46.64590223653351,43.38733167821982,40.15335850455914,41.483407552297066,42.44500049477538,39.21575114267518,35.49259036108535,35.44280266700867,35.94255403793292,39.70568091010787,41.33452304911089,42.6617771721147,46.77049003399893,43.12011947324023,39.80405560733393,44.13087467578979,44.43046325868405,39.464011108699204,40.16943310228999,43.526489720830504,42.06260562842772,39.83670791476208,44.63153840916562,45.838007434097236,42.461203808230756,43.861358990325044,47.49735955297761,45.64054734488143,47.08381574275756,44.48338608112492,47.38022287560311,47.75061868876615,41.979673024702706,43.28235867176978,45.57550452553703,43.23554457635595,39.63038870981349,44.756644509079614,44.849662594988494,39.44324788061833,39.32633491103715,44.248405713558476,43.35363539390465,39.46131864138151,35.93309729073575,39.11823652704158,36.21913185704744,39.236679779217155,34.41495457365387,34.20986815193948,31.634925533423473,30.211919056390517,29.624687967627324,30.912477691217827,29.37890110226549,31.799312308161657,27.46542071121371,28.28926716613737,24.41345030312485,28.29398920240631,30.991648476248788,34.62802523287081,33.565103012511194,29.581821712106013,33.26911525952378,35.40457505268543,30.242227221672348,30.525649515730212,35.41104747475807,36.69391482177551,38.02872551849119,39.332307753201924,40.67514493675902],[34.244866128277515,32.14143822068332,30.22087577885726,24.818564841014325,23.468016835838853,24.672623941164655,21.713064703622667,24.441802724010664,22.742264841598338,18.86062595212441,20.640034450696007,24.48196702096799,19.943676390253216,17.203455395374796,20.519133191384505,21.248830940358236,16.731754548803472,17.930301906584933,15.837460903509996,18.907020768108538,20.175083867150164,24.020784449100365,22.43882916458546,20.297059978490395,18.579602360255187,15.35979876152618,15.625419237372558,14.404965322533386,18.071999049138938,21.291497988981757,23.901218688095483,26.161826552904824,29.92216386317905,30.861271283467502,28.02862562189997,24.12927530659912,25.354010588985258,21.81912235152752,20.372497257382683,25.60318505311482,21.516597849442395,20.978724732365084,24.873858698521918,22.95097647454756,23.565391093781386,21.76855377737036,25.731412258460015,25.948062045227434,21.749793442981918,25.288162882939126,28.776783364254257,29.6465413528248,31.83353038282593,27.180302749681328,32.44004075955045,34.10489705058383,29.66894303379027,30.294373405713824,34.91594303896958,33.61580294008851,29.96104103487197,32.2514561043099,31.69199103687427,31.524500741895498,28.55893262873785,26.368425052532206,22.779833860081013,22.053750471528037,18.680989003536173,19.55511313704686,17.78664906599993,20.27859124763782,22.641343855643868,23.465461437263738,24.8801526606451,30.74910243818283,28.713813803288925,32.96952549952976,31.496343512836848,31.555968118294395,31.387122173065762,30.13692752049712,31.158127672195942,29.90238403619048,25.570056089820284,25.661210498450053,25.730990001286486,28.98134424682316,26.52507286072223,31.536273980550995,28.71138893679574,31.668398148222277,29.823298470474057,29.798480002861496,26.153268690314217,27.825817271681494,24.63795174051195,27.901876579658737,27.575470612970886,32.20063894604424,29.72792256082469,31.503598374749064,29.40609182840015,30.20081477703076,31.084627486931048,28.987989974443042,32.73631208393006,31.403179080853235,30.234609637312236,30.317406811114164,26.986974967923643,23.112605547740632,20.95977772262132,17.176542319585018,14.980239585633017,11.471418744215907,11.239775948254856,7.686582485877601,10.638488827003615,13.023326588806945,10.661108234111198,11.714993704754452,8.625668535813316,11.621113141349461,15.349672994398237,15.98603989184651,21.901385497752017,21.56197720442745,24.81168775011407,26.605799140000656,27.182454760670144,30.98393520350943,28.54217697277222,29.278077229583026,24.40404188513593,20.788732741641297,21.38926982039801,16.487143570840335,12.620597196717485,12.424870155155071,8.822708111126301,10.99853830298099,11.018797957456782,11.76950054248282,15.269600362568513,16.39292939040022,15.017129029327894,18.2095306293373,20.99366125901616,21.83570854174397,26.234553172812163,27.511649330722374,32.2705442306901,34.57469959517148,32.558012693935005,30.937766555702876,26.930142869222554,27.856328773786736,24.84498405177281,25.354572489179144,21.58655248364417,20.47751219663448,16.639352829719964,20.02553350983089,20.550399484440312,17.45648303896326,21.84382833759077,22.667306248454487,22.8645123457503,18.95688807465764,20.55656467497274,17.923781124042506,21.20855449289711,23.124645928126224,24.3185808801787,27.44253665164477,25.527840491984517,30.682972985559815,27.827945856998532,30.088532285807805,27.203353843604862,27.243048407831633,29.77151425786904,30.635050472498712,26.986828047371784,27.381829116266207,24.9159976776885,28.30794786096151,24.38395993732174,27.54058914470248,27.987123746097286,26.533234511087212,27.899033396636238,27.8702150980272,30.199249934030345,32.560610381457224,29.7308795943494,33.09774980371018,33.19122051671746,32.622143084994825,37.14114380777341,36.45571952589245,32.585703784313,34.88318107724658,38.61543120217559,35.6157857063214,32.97969824467425,37.821891737592914,40.35842195109993,35.78567419261228,37.29968013880205,40.98829013156888,38.94891768161149,36.647088374561896,40.6484906386607,38.99774208858156,44.51239185145685,42.23010211142204,41.99418036948626,45.76769869794154,48.866110534428024,53.357918939392086,53.36779216001752,52.71928233755377,50.2056784758114,51.34590300981276,47.706544711039406,50.48510812434149,50.69943085978099,44.42946990341343,45.12964680641366,48.09742669994846,44.90780159651269,41.61423747820537,42.97342013535542,44.14483390650172,40.92377260135042,37.124827462798564,36.92244636354822,37.14467943541515,40.872965813723674,42.360109225182754,43.49798386409957,47.494317865805925,43.69491671670381,40.56093490328621,44.842593404176114,44.90853664171249,39.949624932262175,40.833589740786195,44.01460546035384,42.421462356693446,40.37228414294146,45.238941140346945,46.27402523378912,42.84814824494557,44.493930396463035,48.1678471028928,46.46384620676148,47.92482898159395,45.335776713133185,48.373238708976324,48.782797870024744,43.023326699280496,44.41833380154929,46.83832857851164,44.501669504131456,40.972361949102236,46.199077576703424,46.37392654092237,40.96777395664527,40.92628347860341,45.92336015652325,45.076968767217274,41.179718918502424,37.56856489911587,40.91251682831682,37.95088466861594,40.77258679222583,35.857585634175294,35.51461302070563,32.69893057859946,31.511012110627366,31.07501408226572,32.57827460634988,31.044352066641977,33.28171421829526,28.732600211329316,29.49889136886437,25.398464604409764,29.07476173477874,31.53941444046251,35.13290015945865,33.76064096581665,29.942645175551696,33.72247662066344,35.58619561981286,30.27272341061688,30.817008046716634,35.67986037400446,36.703711311945135,37.956271269567175,39.20354285830996,40.59858567332769],[35.142887629218876,33.23734182954289,31.610874275545562,26.139629842487395,25.181722144830307,25.914730558949728,23.00939456582205,25.63462399286839,23.502513350502312,19.57428803362805,20.983475933573462,24.948716443604553,20.729871427540505,17.537906481553865,20.676737616193574,21.732643143907744,17.47417828307721,18.38630836011561,16.134008386818017,19.60677019640118,20.668673043326216,24.63435010673824,23.029397355753918,20.909294385024104,19.563665915586117,16.174646246360727,16.904888056336777,15.686316676140216,19.037741718242717,22.244238604953143,24.154442869509822,26.83766840098113,30.341447952091293,31.210526238369958,28.674294651022574,24.83672611643721,26.416520077768435,23.018754232496804,21.85676738291767,27.14278878567128,23.063138230184656,22.041241402184525,25.92449661585122,24.130834321228463,24.506176415697304,22.836837733061483,26.79057544961014,27.14403650993168,23.265380915601035,26.906608069129007,30.291616122875393,31.32994751074068,33.33678676589566,28.720480389403818,33.87100005260901,35.33614349777106,30.77156268599453,31.36745499494514,35.91201630210726,34.487709545938245,30.66717397542108,32.717283466143705,32.08319995142296,31.65835795599164,28.907288710900648,26.90056067692815,22.882315122251057,22.21286410432922,18.459386462305048,19.237625591323027,17.187604541815773,19.286244760118795,21.99921956330216,22.965912297578033,24.727014275393273,30.585014408135713,28.957927073735654,33.20122187308734,32.0268902700671,32.32605668539336,32.411955013023814,31.453163407150658,32.637836469990326,31.61771579655374,27.29856361875548,27.141091916994164,26.88707985630124,30.02553443634336,27.228220299129042,31.996983342547118,28.925456856573625,31.554518896634036,29.699435591425825,29.791701423655304,26.228408549390668,27.618528797799073,24.513066372579797,28.193160433542793,28.06744360955512,32.823785055385144,30.569251008735737,32.681990067173636,30.701291965126494,31.78579862161873,32.9524706344874,30.908394397237625,34.74946120529327,33.55104270728075,32.30353704566982,32.23673263894588,28.82440547966316,25.013987870748668,22.578310613353032,19.05152294695672,16.40519846985718,13.27979606745132,12.70174932533544,9.668767136500332,11.278140544261246,13.545032827976092,11.02013665186154,12.277541073398629,9.895574138378356,13.082974436808277,16.750258834582056,18.00400354373585,23.668709439721553,23.634570041777398,26.957567250586763,28.809992581838365,29.50362659534129,33.30019438310102,30.93390108816675,31.554713834911862,26.80076876918436,23.153055803301367,23.796667977235874,18.963745080238724,15.18727646058286,14.971176359531842,11.499086243692641,13.13848125292264,12.959399935935606,13.96439424042534,17.19572746998231,18.056460678883877,16.86970778372223,19.79629854603923,22.66383670924803,23.219758523965535,27.669830332153474,28.561454123976254,33.37074956734216,35.346009099225135,33.22673185479879,31.84811680097211,27.91207846418267,29.167093462670156,26.111277680162967,27.062304454736523,23.585338277448145,22.239349746908218,18.832412745945177,22.029443437179438,22.799313823772437,19.927172418393518,24.29565486927156,25.085633726148863,25.342917212674482,21.4964984428996,23.075102652552086,20.42211041211464,23.52859633974058,25.27086711876486,26.23661080239081,29.215085315827388,27.02710156624872,32.19540019149513,29.542720834482566,31.918820234523547,29.257020345567227,29.326614983553863,31.986690396130594,32.895874048963464,29.27350737955913,29.489430994702886,26.85583989620578,30.197276126012195,26.344414028384772,29.67249090565461,30.210189397039766,28.830147242416043,30.296453894548648,30.31210962092375,32.632120812375845,34.98266099369523,32.12788462310115,35.43997368349693,35.43910992765007,34.7873170319163,39.25267539088253,38.4465082226709,34.565941668964385,36.879141358367654,40.53251376153244,37.393853640154184,34.77520203467233,39.61327086989647,42.03303112757567,37.32326369364524,38.84519534232699,42.49117196446277,40.30047712481552,37.94329356220495,41.99790691184438,40.47770401459327,46.00687197045434,43.89712178473366,43.73908723713845,47.478291048372924,50.71233766268876,55.136494114580564,55.263561260448114,54.64714708867219,52.216995943868426,53.41190362262717,49.788919353816325,52.65432425598662,52.84410513550298,46.55504640917499,47.32710398977513,50.34105619390921,47.115191318305236,43.85416343879153,45.26857504432318,46.43034246773336,43.165335587111805,39.4555291571359,39.14894286212717,39.390325909514075,43.08988699532125,44.456307326019996,45.557521160364686,49.46697188081577,45.62234114916224,42.54769077180779,46.72282211726904,46.67963410150806,41.72247121497419,42.616033555804954,45.652883540792445,43.950035424444216,41.94247107042358,46.84677760903791,47.73829472619776,44.197716874641586,45.97458959720247,49.69622073577342,48.10503397308349,49.674552811959884,47.17751927771162,50.29891639938873,50.61125944904088,44.85334953179354,46.39675809150165,48.79404541553483,46.394769077309476,42.98767654823758,48.271871394177296,48.352348807512946,42.93772842136061,43.04429431574652,48.02296834372001,47.07433168245141,43.152693501336756,39.44791112154343,42.762770812582005,39.66742689614598,42.417697880903546,37.45719049173745,37.20827445066266,34.2438095058888,33.035876636217324,32.79426882766521,34.39034693820747,33.01368916563585,35.29259926266759,30.731547077015843,31.62804807287234,27.429173618547047,30.84701506163541,33.315057685760884,36.833482355746234,35.301360283562154,31.50467799825591,35.211751337413894,36.90244549700711,31.523535664670625,32.041082172120376,36.87052550376853,37.71445228465099,38.91583917038967,40.10081010315618,41.53778012117054]],"stdvs":[[0.676045242267019,0.7250653854784846,1.0446525708378338,0.49418949263325296,0.8514671936648537,0.6767909784708417,0.6846371615665624,0.7089407970505612,0.6785292930210839,0.6099172718788601,0.601777207628135,0.6644893828751152,0.6662521851600486,0.5503498339638733,0.6083182532441382,0.6344365125816912,0.6086547047812579,0.6357023487824401,0.731745724852136,0.6912133687060127,0.7590078472693343,0.7744770179586803,1.0702791358032073,1.0845931667998523,1.0735718753609516,0.7665511638297219,0.7353123880947805,0.5953063172302383,0.6401020991815161,0.5894794029691253,0.6487876387475169,0.5886675259270335,0.6142998048021477,0.6625482886704045,0.6618899038121541,0.6685722106595094,0.665582006860933,0.6608800547116219,0.656218957727795,0.7261705634624767,0.7406206560606456,0.7247635377151226,0.8177048044446383,0.931520903099971,1.1906121823403695,1.6252495177347905,1.7377405089737843,1.0813219275763173,1.1553430838807588,1.6445195913019444,1.1869984635062383,1.549270742750906,1.3319832099662796,1.270473415411953,1.7247934827238813,1.1386194572073363,1.0483643075093365,1.0562511909422758,1.061612096932282,1.2544055799416796,0.9424826580356618,0.9035777607311503,0.7786970272688326,0.8298583258266838,0.7769266547624925,0.7638852513581372,0.7574232663890769,0.6640510670508722,0.7349298306798264,0.7411509464021682,0.8276839507311933,0.9925125634974349,0.7651323320355295,0.851352956445609,0.6781588180448157,0.834713554795738,0.717388800074345,0.7061174833157084,0.7468877087146543,0.8006961184239587,0.7511336377272584,1.0750686360395354,0.8403029234388707,1.1654552801824116,0.8431117073167108,0.6873712928395058,0.7108947585496571,0.8164078303933436,0.691954648590065,0.726566448199913,0.7123054435301479,0.8161203874824721,0.7670121982354964,0.6654308827872033,0.6263637216083223,0.6619853721101632,0.7542858138442381,0.6532503681284594,0.6167422488361912,0.6457283248029697,0.619508024090706,0.6940523175084328,0.6409564297112386,0.6618248207747547,0.723446066045131,0.6397020688953796,0.630563167219129,0.5145465384026402,0.45771771261344024,0.6111043279171178,0.6011260380414416,0.6379766487612535,0.6513647355169242,0.5793368200497754,0.579576334987528,0.5438338781481087,0.5275007015024017,0.49115519417342013,0.6526217890428102,0.5468013190012345,0.5288990779873489,0.5238202570653792,0.4885442226395251,0.49862747480385744,0.574322228056217,0.7514466073000247,0.8879476444385043,0.7050503084593588,0.4863247464006518,0.48295510437459416,0.421360320497356,0.42155247225201964,0.41304196631799883,0.42692405495522573,0.3883994215922955,0.42354285667228914,0.5381408132872683,0.28098113570379285,0.32327544423795856,0.5020295538094751,0.4278935285355478,0.807640832676785,0.6111268137626434,0.6128846209597274,0.7686509240188659,0.5772438367909202,0.5839172117248135,0.6051736974124361,0.5929395209380387,0.673187292875615,0.6358939487623835,0.683900775473137,0.7589790995942213,1.0037462303703348,0.8579831920811929,0.6480156362036947,0.636834075635448,0.6109053240918143,0.5920841876545291,0.5699130236693818,0.5610735679821797,0.5761849357222414,0.5565849474794218,0.5305595452464056,0.5547522611749596,0.3804606023756048,0.48598894270405363,0.6344009644636714,0.6070452255178918,0.5563024097532312,0.414302363449405,0.3830822921731024,0.4265302525834388,0.46008210369623953,0.5153272719606116,0.5240269919808802,0.5957169383923514,0.5684951215337578,0.5786760503009644,0.5122178261553707,0.713783431055027,0.4617825148524806,0.45428865397956636,0.5139778505756303,0.5156122883419042,0.7180355492932595,0.8738469889475337,1.0471622302421728,1.7217370092918494,1.066595903533717,1.328381119901164,0.8410736139855841,0.7499038870325927,0.7260566679773436,0.6007018166981631,0.6921939911848657,0.6436038166413072,0.6332275581541736,0.5717499302873341,0.5995326617404388,0.502728340396246,0.4834344773736345,0.4575048669292011,0.5075482326807391,0.4715012177639042,0.5678448110260385,0.819749111337705,0.7009214404424479,0.6102901810487996,0.8969036408396239,0.9926142953243359,0.9056307897226896,0.9489762584386141,1.224001058544904,1.2155495088056942,1.176607866511545,1.0253133330263962,1.074103439448606,0.8602624125674487,0.8043102390965318,0.7797796795128059,1.4175738069672716,1.038380491533082,0.8843576454095512,0.6758293715762252,0.6576274023494564,0.6534596385647158,0.8802340656914348,0.6897044847692534,0.6563766055135206,0.7470218936737799,0.9158484323272122,0.7345206200725618,0.7234256093459527,1.3283309697411405,1.1833960522068663,0.8938042831858399,1.4138796016221364,0.6351994620102626,0.8328823241940033,0.7663301129930736,0.6399952517358319,0.8565773456375986,0.8048020057389633,0.9541053960099394,0.761057298261937,0.7516915563775043,0.7341868722262205,0.6465123043188122,0.5066913086763343,0.5613803912583237,0.6710895005055963,0.614745212488649,0.5756001064518507,0.6346697930562609,0.8419408757509571,0.6989362915784534,0.6143299589174818,0.640376447280642,0.5187450476554354,0.5032540864436935,0.5450178465131237,0.5554230329572447,0.5762268095001138,0.5422878278648944,0.6080542823512326,0.6861441575946311,0.6286231866292465,0.7071983324084328,0.9097894401505765,0.8276572395315176,0.7310241188836862,0.8996737970011957,1.0460925570273398,1.0058205161175033,1.0928394388124747,1.660835315600515,1.800826489400937,1.2467753716518895,1.3198671178930614,1.1059132876372575,1.2266140600052218,1.6376950182083378,1.312909649343992,1.13685524543283,1.013825557746516,0.8535146958056989,0.7247527263910362,0.4841284663651797,0.545701388972088,0.9665407146392518,0.525498430925867,0.5189936365008443,0.6751528557267991,0.6364607709557356,0.9225357661920285,0.5948459127459799,0.7351382064108356,0.913489386484786,1.059986681763883,0.9441274779552384,2.1382875366029555,2.6424783333054718,3.8864276863584513],[0.730596327860754,0.7676399799402298,1.091992000646406,0.5135791224070207,0.8909386958059812,0.7073063253782483,0.7165958014514041,0.7050900206384223,0.680701266632308,0.5487450205059808,0.5098048270648359,0.5904877567925638,0.5407538530290951,0.4046746510267181,0.4249692613689401,0.4518185242476151,0.4352754476814372,0.3883726567375573,0.5024368049079233,0.4357206347527203,0.541819225314286,0.6151982327655446,0.9018637172466767,0.9520541181289435,0.9306699381447773,0.5837511258556388,0.4847559135950921,0.32323926905626854,0.4040205014534428,0.35046547329215166,0.39217964868632055,0.3982709560745729,0.46445517618812043,0.41038545807249166,0.40920302584116336,0.4006440173874803,0.42749448405048845,0.4024120161130654,0.40482636349948126,0.5328003006880601,0.5868223402271436,0.537269377285522,0.6202057523242731,0.8058194741169082,1.1224531477961637,1.5984260646713384,1.714870323690561,0.9801292052792486,1.1006120903667596,1.6032834393211084,1.0807334770696215,1.4415864616458514,1.2083220822022274,1.107648917517233,1.5895776416111824,0.9842555817154068,0.8849059111694977,0.8662075907142137,0.8867013078492804,1.13479169215109,0.7693495314952135,0.7249784865467922,0.5761944406763531,0.6441352098639131,0.5810852975876544,0.5531929286220809,0.5618763338428276,0.40720652033271665,0.5069174131762325,0.5877876408254021,0.7454528054726898,0.9156353838934617,0.6599104903688509,0.6613630796273029,0.4849369769354804,0.6467607606205498,0.46188827930256876,0.4572448785634003,0.5241673429453259,0.5909197861335632,0.5214745601156652,0.9286422879964664,0.6499764542318719,0.9458892677640384,0.6325497489677252,0.4487982533183309,0.47503432556364544,0.5879117347258787,0.42950904730152445,0.48706100057813356,0.4378315790295336,0.6103951607948958,0.5272407575192062,0.41786328014405183,0.4245202584056563,0.4890418254556207,0.6622393468539896,0.5108694747407537,0.4975426696560057,0.539789779882119,0.4812271127719326,0.616666713503796,0.46423312895323204,0.5593438369629871,0.6504247748303941,0.5444978675836483,0.5276427672819661,0.4826541492787755,0.4025160374798512,0.5810968760689162,0.5586142754412229,0.5632055238898942,0.6345985065139191,0.514696319652734,0.43816632086488894,0.3759467255936478,0.3129534661560924,0.28305282265557813,0.4997340925277767,0.3287993477563035,0.36491910402481137,0.35551664254586607,0.40772111349901,0.4175736636218542,0.5623875540556152,0.7135929179194354,0.9179366243856599,0.6816115071313671,0.42434100054505164,0.4003443631663677,0.40383779545008003,0.38062386461458353,0.40522200431730243,0.3752823613344825,0.3704979637351173,0.3198850300140995,0.48186007453633906,0.2395340819580826,0.1884250399831207,0.29221900450520066,0.2887175642476715,0.6534276340420888,0.3469242872026702,0.32136747668616733,0.5457361562092918,0.3172931963562893,0.3443085849335472,0.405304012711606,0.46648362205847177,0.617993555527221,0.6276394477231205,0.6330570373184685,0.7630791019094013,1.0462429327080243,0.8385741858190997,0.5451085334041313,0.5147261621523251,0.5527169392769199,0.42215873607212223,0.44644298349959033,0.38831628677285723,0.3257599829511058,0.3004775033848067,0.3356892678340479,0.434516484058117,0.5477555397723602,0.5687012107481568,0.7696049045671789,0.7275616216131828,0.675288619762485,0.4857856694566482,0.2865701211030649,0.29653908807986545,0.28366506952393744,0.3028363954423044,0.34069099598673847,0.402367747160401,0.3696840292821067,0.3709133691339571,0.3358934726881504,0.6743244988270601,0.32818815407912477,0.39676312268786673,0.4884593515083852,0.5105042794697425,0.6520067707002786,0.7812829211805226,0.9811091900953364,1.704708423356434,1.0181491142561856,1.3412758931943434,0.8042393650977603,0.794867948192077,0.7569716463611543,0.63130803383425,0.7743680206884619,0.70084995103761,0.6724539682513161,0.5645269112741637,0.630064082843012,0.48641475048485544,0.45604094368627157,0.4312725589761901,0.46604045236286656,0.4426606676751508,0.5675058205188535,0.801299493529397,0.6749380162877816,0.6259163648732663,0.9327224021753424,1.0115134581572691,0.9357733793414101,1.0045997874348447,1.268116630129537,1.251969979422408,1.1797307693700956,1.0499878615244422,1.0203427536275593,0.8201942845232809,0.7813970870107428,0.7400262394500354,1.3838418749760666,0.9756144452779266,0.8960292948488575,0.6360637016102679,0.6062130767072019,0.6187780923463461,0.8330967255741546,0.6604439975205642,0.6160913349292376,0.7466589987620887,0.9083934674658186,0.7451444693544594,0.7274968677189408,1.324800524998148,1.198853745484007,0.9193729186050876,1.5118340096668081,0.6206788159151408,0.8301669731731947,0.7540016326894673,0.6280724098047159,0.8166983145482039,0.7400758678221657,0.8867836021964596,0.7249435269651879,0.7260065181592233,0.6703752077500454,0.6009585984507371,0.5019515447248922,0.5744722305816443,0.6989585886657901,0.6535503079906673,0.5956481211056533,0.682538518150989,0.9007543213324709,0.744716464384622,0.650484120032155,0.6496185689797157,0.5187124030465062,0.4924345061962691,0.5285414256845896,0.5442116733934919,0.556373242173529,0.50849633896554,0.5603989860111717,0.6485322563661843,0.5782281155503137,0.6519632483415447,0.8736481863706377,0.7649671892450165,0.6648896533708806,0.8263391304118506,0.9617486714266927,0.9061397618800235,0.9886340128267238,1.564348311297102,1.7284128851972174,1.1595013425110885,1.2521828858433137,1.0605283320010375,1.2363892367260767,1.608696515100232,1.2425612349380375,1.0048834304915026,0.8953247629722068,0.7929240649079715,0.6667036075243039,0.4455108846305559,0.5117256009527713,0.9735195753906539,0.5087330632281092,0.5099377867569665,0.6715131653772622,0.6533342646553204,0.973743777921063,0.6380481244659318,0.7710923655111894,0.9246199458564949,1.131636650963554,0.9208206488282992,2.048457823426962,2.440402489486427,3.619372357368438],[1.3675357649279762,1.3629647840988444,1.478972916910398,1.1092728871542359,1.3763749949892405,1.2708466164051122,1.1939960147778723,1.0833642648836164,1.0951647724084557,0.8690106198919052,0.8163103589897327,0.8606369745846115,0.71197758769311,0.6511043302113008,0.5920467547163,0.5660623096330984,0.5455662567962649,0.4691308418255131,0.560962025744408,0.5949880673918875,0.7256994692779194,0.8027188125160469,1.0613143067071356,1.1744674334355414,1.1397236140784646,0.773940638875259,0.676568441309578,0.4489039955777085,0.45080921543979213,0.38164409558533363,0.4549517178017373,0.444701132821888,0.5289466186905286,0.4516017914837131,0.4231394186293858,0.44532745861066964,0.42699908864151737,0.4785539420937279,0.5521396085887191,0.7311132922232656,0.8035689792407918,0.727774339200842,0.8656137787945489,1.0479032547648268,1.3156208573840829,1.7746344041614859,1.9764160391199226,1.2608741545099358,1.3760567625113864,1.8910998660830047,1.4678966576980406,1.7846798899528717,1.4927409466436035,1.3494342210087036,1.7273595774522303,1.2108059985330615,1.1295980759671258,1.0043193420696437,1.0532335582631798,1.3513919760563915,0.98093438577864,0.864970041403079,0.7042326302537572,0.8054285876551606,0.7818210669705294,0.7060812649101872,0.7424651143329543,0.5222425821760484,0.5954937533867904,0.7407806360889878,0.8848097931217335,1.0404302012033346,0.7962216082356197,0.7475340296023819,0.5889532845890496,0.7823556208100467,0.5764971054346235,0.5343549335625017,0.5863992551724749,0.6750008814721631,0.6033666790356745,1.0419119026861567,0.7167025327601081,1.043146881897761,0.8044595434786508,0.5555654391541323,0.570764892988624,0.5914039567417263,0.5093578445617651,0.500712647765689,0.4950337029215998,0.6609815853716267,0.5788398215616622,0.5009908454418381,0.5513466477873608,0.6734885590474251,0.8429878390672001,0.6401684766139852,0.6781075074580404,0.775334624695568,0.5851717062689679,0.7188129906408804,0.4584701281019315,0.5991821463493524,0.6449260951038405,0.5689390320101491,0.5602971918701155,0.641205760176046,0.5699603863700056,0.6926412526161251,0.7348396286908028,0.6335884795299948,0.8724832303542814,0.6175475970452742,0.6103664721782519,0.5238699902273676,0.4694356595901655,0.5256996101922268,0.6981154419141863,0.5097967518001837,0.5915827303440093,0.5914212581725775,0.6235421098333318,0.6864187052654558,0.937763160374539,0.8950034124961844,1.2492679281665608,0.7850425069613067,0.5336490803816735,0.5009810074033549,0.640586636364544,0.6416419675809776,0.7605525820372496,0.6168033211540545,0.6752753690977251,0.4592101444343769,0.6290186917664516,0.4579100039847085,0.334132757352689,0.39698621522864613,0.5563881465816847,0.750152412157775,0.5092886151188598,0.4386976442228402,0.7223020370524552,0.38452838713235105,0.3826888228638938,0.4269463951428714,0.5029278362136742,0.8145033333365918,0.8555282173860498,0.9622382273337329,1.0411131330173469,1.3659004548860556,1.0978708498362617,0.7736137379444568,0.7050922724282612,0.7163208410144851,0.4728964840916716,0.4670012918500937,0.35218495063714794,0.36096516198320006,0.4298680598178817,0.5458718975980585,0.6217043807361541,0.9001283347168774,1.013788751869153,1.295371397021723,1.2773691347060943,1.1823075232486893,0.8935498195964132,0.6007489260962687,0.5777262831287483,0.44223312219111943,0.3833237966833336,0.36672787686909925,0.4025149976608107,0.3964716620322893,0.4578860573327086,0.4201949699271787,0.6597335154767873,0.3848258395578711,0.6164782008966194,0.8344631320778849,0.8529445915734768,0.9023114698304662,0.9937069322542621,1.129263881688995,1.9143585130775562,1.364327345305237,1.724662831520009,1.1312721332099303,1.233144187866284,1.1427690284426428,1.0197923281495336,1.1596065559259612,1.0148159261299075,0.9327928253762846,0.7961025895900546,0.8353100064271608,0.7018370359405429,0.6528245467531296,0.652077174819737,0.7419353426967438,0.7412068843240049,0.9204215143634764,1.1325139114515705,1.0301057427982674,1.0441061897706527,1.4016292095774536,1.4720732853064813,1.4223190037568365,1.5331297484858397,1.8076856803693069,1.7837268185378237,1.659714253836718,1.5026451650640729,1.3546978871097035,1.1581047769547295,1.1566964757855014,1.0234017855557325,1.5577805790203643,1.1314461477215834,1.0821117015070207,0.81254010133934,0.7607115502731912,0.7734787919101392,0.9175772698315773,0.8411540430554232,0.7936865164105458,0.9114683849144928,1.0908955085698169,0.9809594464926816,0.9596333410162384,1.4926413488721184,1.4520282661098778,1.185999391623874,1.798232862897825,0.8695087536169935,0.9640937614715595,0.8750941470526082,0.7710572372325578,0.867740638307085,0.7769423123664949,0.8863327675230269,0.8039076070298498,0.8508595876533408,0.8063936587440803,0.7738927618558549,0.7955600610876555,0.9207430857117156,1.0760715722790202,1.0915765216373945,1.0121190640492814,1.1573795364975745,1.3766855733745977,1.2405304906715184,1.1318663107037104,1.0780633831501965,0.8925831432587686,0.7967551178794147,0.7488854271028648,0.8766395433455546,0.8980212316701272,0.7363790604039839,0.8049760850425636,0.9108933161237519,0.7949579946550982,0.848551854311511,1.1031570984245211,0.9809439074574432,0.8748697292622569,1.0239846769957555,1.144622353597461,1.0764120638756085,1.1306504582749373,1.612648322093677,1.7913220743169844,1.4322774229743063,1.5820519886624407,1.4084932027605188,1.7065645778312246,2.0296463492209647,1.5245864064003998,1.1709514076552359,1.0470160804819715,0.9396644201067054,0.863127419324947,0.665036526763243,0.7181702030672344,1.3222264838639566,0.7754280177142389,0.8182030767032323,0.9294111996030665,0.9848999643109622,1.4136352527982372,1.0664400416039266,1.0999873405462641,1.4486346194497788,1.676122414410841,1.2990172872739338,2.232063382400634,2.357980289690264,3.3114579297960995],[0.5375322548176933,0.5676546013952997,0.9024443303273034,0.4027391782085621,0.6486644218883655,0.48364363870291266,0.43162415640076024,0.44169901921226773,0.4258296468619696,0.3012936493542995,0.3052091991785969,0.4412858170228361,0.32039550051855853,0.34493114104739336,0.36804182290625265,0.38300593231211,0.4292317637670636,0.4107815697331989,0.4884885875261166,0.4906088075044642,0.52973683234612,0.5802665182710199,0.8083297089814516,0.8413209234091742,0.8820516782777309,0.5717214581133366,0.5059480649918167,0.409395748234912,0.4295692498892429,0.3775989014257517,0.4220931646618066,0.3782525812091752,0.433591723172882,0.4567042032535238,0.4598870916178425,0.4747138970988409,0.4885945031743221,0.4488219451525473,0.45343592954028344,0.4828434901295636,0.595656794446047,0.543557984672346,0.571001260423466,0.7506388576114381,0.9984657173454857,1.5229274862902322,1.5698224218885752,0.8566816871597387,1.1823604525787106,1.5998206956224432,0.8787233203795849,1.1936622629616427,1.0116850719629478,0.9192232421667117,1.4217161888575651,0.829587493170565,0.7707122725178162,0.7769376814990538,0.8473459222676571,1.0157160195078847,0.7268869190427693,0.7193267396557266,0.589981536909917,0.6024430111829387,0.5386783205718587,0.5499272703422313,0.5901011169623557,0.45549923224318883,0.5256239503143942,0.5733410208157259,0.7672719003781397,0.910913236823001,0.7299426391225795,0.6334998725112906,0.5249067740161277,0.6590444746257348,0.496731951171081,0.4948134091283765,0.5308506052816132,0.5857356393237922,0.5922206489824284,0.9596338470455452,0.6377413387343513,0.794233560384775,0.6029213458113464,0.5309234727887076,0.5137482465692689,0.6212734829375618,0.47213406780217365,0.5369270184177978,0.4721068254932985,0.6085386437128647,0.508934811450326,0.39075516711726893,0.3756172617515898,0.40814347811048646,0.4890839536494903,0.41577616224969094,0.36280631356954457,0.43039901656749335,0.3727941676200375,0.48791111964818423,0.3869003011875609,0.4176983975431978,0.6389502324510506,0.4906198249024741,0.5402610924043966,0.6507809341704293,0.5462899356078845,0.46227633701593923,0.3066459222058968,0.2935392281704063,0.3009658085455926,0.27844515978252776,0.36760609133969524,0.3993274144685224,0.4787529838376121,0.3830667577231493,0.5663018605524527,0.4073365189994423,0.42415102832013385,0.4692735958350706,0.541111711724081,0.39930282302796494,0.2868535495541623,0.2334729573942308,0.5971165030964717,0.35271791953427895,0.34472435138242924,0.45303850257330136,0.5081377843635505,0.49328704113907396,0.47441691040291034,0.4606834532980715,0.4542495195367152,0.4449457085873588,0.4628824999956666,0.324650295018332,0.24408932738338698,0.21811427713164455,0.2605511406666032,0.4873371360333066,0.2872799598368173,0.31249532228531096,0.5785689056289343,0.37552184587005527,0.3875368656209629,0.3840530322763455,0.28954378587434304,0.33400301606532234,0.3742370976625449,0.3872412078272734,0.6014131181395997,1.030768664878665,0.7990496030746941,0.3658182164463546,0.32685063726056907,0.3221956931608166,0.3838854769320859,0.38746285979321654,0.3637075665561998,0.39618738720801105,0.3712557396397563,0.38732052366837966,0.37143762148959153,0.5592768388222661,0.4424351565792866,0.5704018363669924,0.6390830097358575,0.5912127899956103,0.4222396290947909,0.3014622516713809,0.3854447225000924,0.355359689209335,0.36463415581707753,0.38233468556893824,0.433697806832385,0.4474718826254638,0.41277748275397813,0.39635363267704027,0.637777318435927,0.3634635148538306,0.4282421074406871,0.5271615319832447,0.5158615917266496,0.5957224265952663,0.7105878098937721,0.8114457120925805,1.6597919367682965,0.8741976339704122,1.0792181263762224,0.6489099852783627,0.6240355926105317,0.6576876561762274,0.568225424040471,0.6809714245529499,0.6742080183652015,0.6467621231646128,0.580837805966478,0.7848841426875176,0.49122535277464713,0.4289783232733463,0.38824104811841714,0.33853505721448746,0.32111115732550055,0.37472418100372595,0.5535066282321462,0.4616734707987801,0.4303468178292067,0.6889712321326114,0.7584933885059338,0.6975422981339117,0.7754014274761969,1.024023426116056,0.9834981440495671,0.908669659989699,0.8450741575747484,0.7647292624539391,0.603524162136351,0.5953814160211502,0.5582008795550645,1.4485063231447202,0.8070396580015005,1.0017306085240745,0.6057608960402965,0.5214602227846264,0.5805571150693584,0.7206284582394628,0.5685853262798145,0.5454303310223082,0.6786929065560665,0.7835933177593831,0.674016452444815,0.6727175371902213,1.1833755457145134,1.028285182514046,0.8696514852442849,1.565978959566638,0.6666871225551613,0.7878040712599763,0.7066385576879217,0.6074248184423479,0.7627114004134734,0.6595945291647267,0.8161191641349413,0.66442276111362,0.6099119658161999,0.6140240437274208,0.5676424944799393,0.4147175072836069,0.47414423695958946,0.590932605030074,0.47879779336754225,0.43898310844241367,0.5472281350254817,0.7617026807487688,0.573152669904931,0.4965724701648749,0.4757135872375231,0.3999839777524983,0.39693727628279596,0.4511564584327606,0.4199518345706784,0.4069407437236327,0.4215390229716144,0.44451450222351163,0.5004749581432906,0.4637274553316594,0.5613552225986832,0.7526191816928904,0.6495171191350952,0.6186963435428261,0.7214095923199705,0.836373540196303,0.7860946214173506,0.7881613418593297,1.251188402083197,1.4568584145078576,0.8630094842226673,0.9155631977460673,0.7803528627933098,0.9461273497568764,1.2513157305319293,0.8723246941959196,0.6750494029752322,0.7542337312422384,0.6637256099869662,0.42644425496920074,0.43715609047204074,0.1772735849520767,0.7191666103960802,0.3150103616915652,0.31109876450226376,0.6333768743718995,0.41795720020737276,0.7437378899516015,0.43189042648252046,0.6471056804505104,0.7425072338412034,0.957294903530477,0.7697702193105627,1.894964646029188,2.260594639327539,3.409634968376906],[0.8600160973692987,0.8439392973366151,1.010879450465917,0.5640861606239675,0.6368361857492094,0.6864720848503054,0.5743682016553089,0.5208202557537063,0.5917899133264483,0.38755387338813213,0.39867183517739174,0.48689106084830797,0.33505761088384606,0.34801150276652626,0.3613233034315636,0.3500509194032147,0.40781609132193436,0.4010957575135657,0.501861918607966,0.5325867529197164,0.591011562848588,0.6610923298363413,0.8673449444958106,0.9611822793661867,1.0046309950142585,0.693690786088525,0.6316168781463868,0.49372980244682435,0.4621578545526416,0.41773499362798205,0.4098870034823924,0.3960658170350194,0.44513178792607927,0.4544679928301545,0.4917136187752896,0.4977070716521832,0.5525252470790256,0.5684890740893519,0.6305266512075215,0.7007232101430028,0.7904867400963642,0.6358380289111438,0.7118229518254238,0.8315328915565948,1.0214368264442653,1.5251137848938423,1.6603015972171744,0.9576169004258475,1.2443379931308785,1.708539146749065,1.182107933006836,1.543084679683262,1.2958477164164264,1.1844556034746387,1.5988528641812922,1.0347778540050507,0.9426218336843613,0.9085213768520779,0.9748572581021367,1.1511325148353926,0.8379269248011538,0.7777638644352153,0.6423217487166892,0.6751001687388328,0.6130267216541857,0.6184260286897628,0.6275277330213046,0.44224404356331376,0.5271083394008662,0.6269753334700252,0.7700695026661125,0.9818135376935863,0.7819695617991397,0.6410833621829914,0.5305034949447224,0.7232540889503315,0.5022310831204939,0.49335305789350775,0.5604662454416757,0.6688883724504519,0.6951107406337267,1.1138233530575834,0.8242522881181588,1.0181198427156533,0.8656883671516343,0.7188682516496584,0.6492200638430725,0.6917456057449433,0.5313697986285348,0.5718290288981727,0.465920846010361,0.6244083370859552,0.5007996608212267,0.37562840075630327,0.3701754217785252,0.45381031111815956,0.5516996330803401,0.4162852383660795,0.4056020116359226,0.5461852582545532,0.4400903195881537,0.5738115934270844,0.49805638129993296,0.5561364997565997,0.859848762344007,0.7611244331659239,0.8845855493218422,1.1052164875265427,1.0065441061301146,0.7483943018357023,0.6153129083995766,0.5579622442333267,0.3836818816831298,0.41340181585546426,0.339651864261005,0.43277785953343795,0.5351302012249217,0.4493724980830309,0.583895346201177,0.4342121253430379,0.44266131646622414,0.4533619659549277,0.4799486739207402,0.3638121316366068,0.3380618849690616,0.42342941008540214,0.5645469785705841,0.644935662671534,0.7748787049571133,0.8597105384540338,1.0828900990258425,1.068912659370169,1.0793988342714649,0.9690250108932288,1.0122059865775428,0.8724850619296299,1.027187924258826,0.848496852995491,0.44896700791246635,0.4986065848489486,0.43399840420305835,0.5745752669674011,0.45523359895874743,0.5051426411874117,0.7653844667383849,0.5041880103729878,0.4925445412453674,0.4724870333023243,0.4326474047960721,0.38555008318710204,0.4919319025711707,0.513186917464785,0.7220966339329037,1.1801648660794763,0.9291097513114395,0.4761120245226315,0.39307803253570833,0.43397723229021856,0.44733024416133116,0.5551926853731743,0.6381002540641819,0.5637282998251367,0.6229353160618228,0.6595130261570384,0.7064276562610043,0.7589665632397288,0.9674040853120406,1.0723376798993163,1.1855787482660254,1.0879087184443472,0.9811634501108274,0.7837919021326668,0.8133451971400045,0.6872559389318434,0.6505587445722116,0.634502791941603,0.5790516272173102,0.6603143998979871,0.6580165371035906,0.6793401574182825,0.6861694906993636,0.7340264172805441,0.8907240988079685,1.016369389269211,0.9870139564129233,0.9285304479024309,0.9390625733919422,1.0068398584120928,1.8466570598769323,1.1523699369119347,1.501128208447206,1.0944951851618772,1.1371369020029882,1.1615980043417937,1.1451640216145904,1.2912589628308075,1.2612584463411745,1.1732516985686154,1.106779060124321,1.2547293229469538,0.9047305179678398,0.7443528010706395,0.7718124891312352,0.6881158416658313,0.5903909307006097,0.5472285068190832,0.6029263377259405,0.5733310733962977,0.6030034984518312,0.844427530451932,0.89593242073288,0.903245480762999,1.045396118148013,1.282730621733105,1.2410620532012644,1.0583982922926662,1.0513851883722036,0.8165083706670753,0.6998639300144521,0.7336449895107736,0.7345881770983611,1.4784287199526671,0.9050870075114827,1.1884314897801849,0.8207018403063203,0.7569834781791757,0.8419712190347373,0.9841385471833901,0.8841179947532486,0.8549574669822902,1.0386470719511076,1.1393171986973685,1.09686119358595,1.1634252834917476,1.5600408366995206,1.5263367205220046,1.389379027159127,2.0686608829835733,1.2257785123797205,1.1888581665659277,1.0413644590962963,0.8654067728530753,0.9143197253041815,0.8317876538730417,0.9023065671959845,0.8256815241067651,0.745571411113203,0.7364592598127963,0.7050705144740809,0.5959766557266066,0.655732753158447,0.7869658863725619,0.6864254796126775,0.6422420440151199,0.8117791192746336,1.017437305660041,0.8074003950245058,0.7345253485137034,0.671350075742267,0.5994393582672164,0.5749061383374288,0.6321255964863958,0.6070326489014889,0.5853794629871476,0.6748085330487118,0.67913988398366,0.6986361945804348,0.7511296742085877,0.8613341017429675,0.9938684170117925,0.8459815475437068,0.9921697144939579,1.0105517781246307,1.0477333051386146,0.9951414823039236,0.8923752715275375,1.3216843382827221,1.397693077652433,0.8894748596377553,0.8769688709032131,0.7633757507424895,1.0012834765344398,1.1931457637753011,0.7247956718588807,0.7806523495477956,1.2396915200874146,1.0462204205689944,0.816906164879694,0.996516259832768,0.7119187027030319,0.674287441387721,0.5180379801975901,0.48872224559431965,0.8255643489199297,0.5300021987083746,0.8278825767332347,0.5797872544527461,0.7693959806627344,0.8772927426337753,1.1793085182470395,0.9205294352288553,1.8328808326664319,1.8753991420362186,2.8842008160297636],[0.4553214808953852,0.46102235530126656,0.7373982560963528,0.43470429959168555,0.5121061433180489,0.39897019735206,0.3498008864379064,0.38786386271851303,0.4489128678155215,0.3714711690878426,0.3679042859909472,0.4183548050890778,0.3675133801408644,0.3564098148372145,0.4055998108481756,0.3847421705403478,0.41073494114583464,0.373990708587832,0.45612115101983114,0.43203670959813256,0.4582839417604859,0.5270996316103411,0.661747599310322,0.6977153720682178,0.743080516349442,0.499302202437568,0.4303589819331264,0.3632559602112311,0.3940937455845202,0.40074593677651194,0.41778327608359045,0.4157200498844251,0.4480031522394716,0.4501406016842445,0.4646352321152013,0.44764143474623996,0.469891139237611,0.4315145847734572,0.42320701307005215,0.480786854324745,0.5554167958935886,0.48131385902775903,0.5073670505909074,0.6667761325141318,0.891204824670032,1.3743669427159244,1.4664206438973302,0.7561235821842403,1.1440601936784887,1.5572517086285393,0.8842658905936782,1.1877770685434235,0.932349424429713,0.8663320259015764,1.3211095978231966,0.7254807712884463,0.6568715002265404,0.7343362407823735,0.7604707093051724,0.9620016814681877,0.6117570298380883,0.5950259941061481,0.5214419725606829,0.5852011349288982,0.5029015292118106,0.48793148679622694,0.5997411190001796,0.4115366036591382,0.5125468536789892,0.6414858046209332,0.7855616409528698,0.9670474872110375,0.8052161643862983,0.675086396687925,0.5346974701165996,0.7305927509480813,0.4443818181178789,0.4472658935532495,0.4811488331181137,0.5356576506317741,0.5316754409735823,0.8398187017106888,0.6463824061178687,0.6982637528385349,0.6613864593429337,0.5276101745011254,0.47603810878022446,0.5842768839689679,0.42053765056676695,0.4915473140802341,0.45287445663522874,0.6248957752582902,0.5268000506564556,0.4134819723981265,0.40881383132947774,0.4958828993953482,0.5853759564617951,0.44766728766019936,0.4151785699211998,0.46999114867329206,0.40982822521889317,0.5319185239286364,0.4750802160586898,0.4380241911783831,0.6650233089174666,0.5994247560185564,0.7198807290808169,0.910290938690117,0.8778533138161442,0.6917460051447825,0.5320437215388321,0.4668721251481801,0.3609107773313036,0.37072995617699966,0.35583044189491353,0.37789764794301905,0.4507584021565425,0.33984374772097203,0.47245623746460524,0.39532361605152083,0.42961849656866635,0.4413312538972788,0.4254951990210463,0.33668774988692757,0.2588224493476829,0.28567346086686685,0.34161589773785567,0.4741320237472199,0.6368269889966145,0.6950884004482183,0.7674819808796977,0.7375250495252713,0.6698175609408299,0.6502938214790268,0.6496940071329841,0.644101088267089,0.721105762178053,0.5443944564589588,0.35426569650268225,0.330881656396259,0.49911182979144714,0.4979746654434074,0.3811360539875378,0.33397034389275737,0.4973769101797652,0.38728850951977484,0.384545515220168,0.4214494870270638,0.36932011752020155,0.34556413341636044,0.45548212651733444,0.4417693799487808,0.5893451570930882,1.0856668436498054,0.973523171596377,0.4323979713204053,0.3891044134972548,0.37091919480737406,0.43356771792798077,0.47780446595563164,0.4848618183969514,0.4484589485401822,0.43130174350254513,0.4582586060107492,0.45360629642727374,0.5685385055548484,0.5610973758635794,0.6432177876631774,0.7166071767756255,0.6613756295893971,0.6084875811116562,0.48375492597114617,0.525313155186773,0.48420088243658305,0.4497635921540637,0.49331328315038603,0.48996385582686974,0.5173644430031976,0.4644988666427225,0.48630035921335785,0.7152052032372811,0.5189034682068829,0.5503434320383116,0.616669616061721,0.5884488950974756,0.664782302768802,0.7740547150470387,0.9071955608271298,1.783301207167505,0.992107000978632,1.2406454165092051,0.7412749784486635,0.761981459423539,0.7883422104730137,0.7198783888739122,0.8541477972576621,0.913280183410675,0.898756571781394,0.8794529707152419,1.1273264400645773,0.8304613572951189,0.7393688224665901,0.7615622342463217,0.671981290895355,0.623235593850682,0.5585055500495382,0.6023991133886125,0.5638065802755686,0.5058909503955803,0.5661428855411751,0.6218110608777453,0.5996831676735781,0.6640359118662087,0.8334224081046728,0.8149215209409694,0.7536360753111611,0.8079848116983457,0.7026265501611068,0.6367430395767835,0.6449565464683911,0.6948272277965535,1.5773875899114393,0.888700614893996,1.189168974727642,0.8201272006616336,0.7515514815164599,0.8043525255645078,0.9000559051545061,0.7906968317095054,0.7729350826661384,0.8750618244284742,0.9767161877706504,0.935238936133743,0.9608339314587249,1.4207207966623718,1.3352157307860701,1.1835045995467388,1.8354938061445385,0.9985507831317846,1.015005350871503,0.9045243466805992,0.7809493500421062,0.8508125740969775,0.8108243700526842,0.9469583531549413,0.7801547836112005,0.7250818408302178,0.7919952050766106,0.7429950875215481,0.6068193869916171,0.5941884161181369,0.672048349443997,0.5190089990493144,0.5259492879398576,0.5926631164692023,0.7590378952157468,0.5856673171463213,0.5625659443429383,0.5494055480375111,0.5559206086171589,0.5800757365328736,0.6213034591679105,0.5822513688912506,0.5717677674971209,0.6680640490143073,0.6804048066932621,0.6999506224551876,0.7274198232769074,0.8208353322609945,0.9546096739605484,0.8271496906863864,0.8782135508103172,0.9249346180040768,1.0011277594729862,0.9425504460815489,0.8732013816448766,1.3272320818362833,1.4342501619663666,0.8254968216191239,0.7619782051760885,0.6455769766165738,0.6670180084752392,0.9169339951341531,0.6939350560556016,0.79544559780259,1.121669124835393,0.9874334627317972,0.7748440578326838,0.8181917145478155,0.6507329752088026,0.5604533573679428,0.5611460246454157,0.5776549832611655,1.0107163343574739,0.5714356889304474,0.5796512403929684,0.589126746658882,0.8328711342279773,0.6716180574160961,0.819940243611949,1.1319755062190722,2.1965922496614727,2.582935885029957,3.6858922605051605],[0.5093140160089177,0.43188438107158755,0.6695015381160231,0.3357056460065752,0.42832374933198064,0.36756496440505226,0.3129087569372924,0.3179739591932391,0.3916194450346495,0.248633360479356,0.26007299007714496,0.3484981934441607,0.23146403729163242,0.22724931753216993,0.2834441102744527,0.2532661873822929,0.30246315919357725,0.25462375007049304,0.3297336737553679,0.3272664023826344,0.36392021471374364,0.44871614085224704,0.5662711910561756,0.6160240774670697,0.6549824015514493,0.44292345295655766,0.3533576610772368,0.2632244902056701,0.27743052662240025,0.2666130046526273,0.3115459521710092,0.2723664311915194,0.3623668814781801,0.3362157059913342,0.3150395220354919,0.3055130344024736,0.32267550651576343,0.28698966054528424,0.2765220740940504,0.3305588751336285,0.4561400669877874,0.3795459946601225,0.39072252569235205,0.5645539772540402,0.7899817711277555,1.292089503880289,1.3670156308468238,0.6741112129478345,1.1646025478573105,1.5417532090589652,0.8022668212290206,1.0286539315917522,0.7902137865556939,0.7135379715165178,1.1940191034004615,0.5769398298812941,0.5090231158298943,0.6097202846466502,0.6619487229079803,0.8187230164157658,0.514323682976616,0.5187254714869799,0.4336749376713225,0.502897586886712,0.4154907257506038,0.380015563454711,0.5405461144131738,0.32659562691202554,0.46377212294531067,0.5714487877607101,0.6821762372078811,0.8888804944485925,0.7531452806986819,0.6246346899381656,0.4355091220214986,0.6969948801783479,0.33489782952866815,0.34060333195307496,0.34731319406377964,0.40668167959994594,0.3798020077996182,0.6928737323614083,0.5898854571964436,0.4997343093194338,0.5303816689245782,0.36639486145605343,0.3347490012881148,0.4535711033073897,0.2838550945866253,0.3786528658016867,0.34921246915527393,0.5863729920697375,0.46036847962528193,0.3189322649223022,0.3128860049224211,0.40980227484061926,0.49738298139041415,0.3626655744588186,0.32731280508838095,0.44940204991912763,0.30093251789705394,0.4637162923153961,0.31782235799472325,0.342873233890033,0.47811213330408525,0.42981113683201994,0.5261102049424896,0.6478887557478241,0.644577189618177,0.6132396976402447,0.3556812159708077,0.27902373832399935,0.24276538871204542,0.1971548664437562,0.1879473018802193,0.20621051485096933,0.3374751875038972,0.2504484452878126,0.39040481270241895,0.2999670479282693,0.29048170393793643,0.2821358375444794,0.22986209694004028,0.15646114253960966,0.1601671857261843,0.24814734327809937,0.24297637582063933,0.3040005187978874,0.377936157482872,0.4050012858435914,0.4865662179371758,0.48525147875304764,0.41244059517708476,0.4137676789801382,0.40256775888809554,0.4097640012699595,0.5113448954351585,0.34230750753591244,0.38842840692991054,0.2852092725019175,0.5315393636327779,0.47589955093403224,0.3595830132431754,0.26501021530323976,0.35458598022354165,0.24259715556142783,0.2187109791675059,0.2680780167260942,0.18603914791176937,0.2841411431828622,0.39676528902036573,0.48072248224541103,0.6519678895548953,1.2241764309269865,1.0548687870349813,0.39249645808908407,0.2977400232966581,0.29204048164617674,0.26844866082277097,0.2862159943244074,0.2736180569144324,0.26747518285175265,0.28403400261068473,0.30665944759262986,0.32718483825659483,0.5059770742111308,0.4212330037417683,0.5423342614411165,0.6123252966330447,0.5636370514310917,0.43372113564685216,0.3176393398161,0.3380468138015106,0.27745034912165223,0.24647259868617047,0.2921459041751913,0.3207335762670714,0.4122317205138914,0.2923185229100849,0.2836008904930435,0.6414942199724509,0.28304167285651194,0.3383912501112543,0.3941214933792989,0.38308274331172604,0.5607212779471966,0.7003515901663387,0.8048071176442716,1.7282415000472486,0.8823980555936597,1.109802299181718,0.6573815797986653,0.6052778402124533,0.6247116007984583,0.5000387339693692,0.58521066728989,0.6488057579449353,0.6086092749181754,0.6129051120409474,0.8464588530517839,0.553221549360828,0.4891379454827127,0.5260139809470563,0.4630448529699999,0.42607395922957314,0.4306380970137422,0.5545094277787824,0.47204904647846246,0.47137514573326583,0.568141082082387,0.6095309629828155,0.6213019433987914,0.7136619448205872,0.8576383448234189,0.8282917531793549,0.7330635389021904,0.8374934622594227,0.6727223227312498,0.5856635732216171,0.6046044862057466,0.5678350209418508,1.6194449249908134,0.7399841574311419,1.1973760256256054,0.6454579788112488,0.5437572753550657,0.585063672730967,0.6615964830299228,0.5312070815610456,0.5243009115569003,0.6576500731507947,0.7449602541723109,0.7401884179719195,0.7014092585820421,1.1377431716525166,1.0631559569000757,0.9938462546870961,1.6037938903998594,0.7979370652477958,0.7225266438163124,0.6469329930061908,0.6041404711396197,0.7549645260529346,0.692624466097203,0.8080576110096687,0.6455043911685462,0.5774390956165087,0.6793686536275372,0.6025749812874227,0.47619043026363395,0.6010643548978896,0.7323308447448639,0.5468632984258504,0.5335934062311766,0.7032896410995477,0.848161961318757,0.6416064115848977,0.6004351328918527,0.5426087237117594,0.4719615051845052,0.4416621313421479,0.4560303730547046,0.47079350183745194,0.46153698368278795,0.4684599828995211,0.5087894725916263,0.5814298252284567,0.5514125841898215,0.620761448943727,0.8305975331143469,0.712877833827136,0.7246328466384467,0.7872348789802728,0.9089245282572057,0.8615015946363163,0.8154711337287199,1.1980924934571797,1.3063866255911298,0.7934828212785349,0.7133375454734318,0.6227389863412263,0.6178814262483423,0.8206430931525593,0.6818934477696433,0.8214131593088123,1.122439908157057,0.8580420725465832,0.6546165470290153,0.5779918553228881,0.469119413433731,0.4371855924118168,0.37657546355682076,0.4379895825670852,1.1170411188827518,0.4648628069742972,0.5527000072794016,0.5664417288569586,0.7990149882349352,0.6645324672879498,0.7855176726285932,1.2906446883915224,2.353695626565146,2.8005355702246235,3.718603075545223],[0.5971770090505427,0.48759722923260607,0.6629269768086005,0.37124723825421146,0.4662403123519447,0.3804161785398405,0.31080480910749475,0.28319042644048725,0.32524391125301677,0.20271913101338418,0.2467695577783136,0.3307761263734484,0.23246879804067136,0.24723085256420163,0.34901466646855916,0.2961328653171126,0.38974013733228474,0.36554529895151633,0.44327012840280655,0.45638863638526295,0.519731906778601,0.5809865314322515,0.6667485740892688,0.7829009704666164,0.7610864163891817,0.6303287529816906,0.5312860444082412,0.4339023748903313,0.3731844554863135,0.33434550548546293,0.3668870426893971,0.3107515898645702,0.415905981077717,0.38102209303279205,0.3568012805079901,0.3713442654926098,0.3722868552389794,0.40541107450849073,0.4362949652988174,0.46547498584067526,0.6060294918086842,0.49883958896170216,0.5289347901039425,0.6648718213425054,0.847122898696811,1.3090068523096192,1.4599183157055922,0.7616539804434485,1.1603969732408115,1.5349252233509247,0.9538726866614232,1.210821210827077,0.916719649921089,0.8492358497222354,1.227038671982501,0.6825085009043481,0.6263482389287389,0.7038343727489978,0.7167890248183093,0.8948636280749087,0.6332772510239695,0.6136660678902812,0.5361580430275051,0.6226765272486576,0.5485435943069791,0.5161177870614031,0.6540212836395703,0.43677754682508574,0.5514004720670388,0.6344395874178805,0.7130318073855378,0.9454660217134498,0.777968208310879,0.7246151778239864,0.5147831623275112,0.8225636545765656,0.44581165760627617,0.4224534179078045,0.41054882364731937,0.48744106789658476,0.45439283609672904,0.7019821591556762,0.7009498710039265,0.5786007626878019,0.6858064624424622,0.45101144866065296,0.45602807656740607,0.5000722714151002,0.3821093293455116,0.43364471202203003,0.4299404483192871,0.682856286159122,0.5432368310852006,0.4032822111673989,0.37210105202598626,0.4954837124949623,0.5829559936796437,0.3971131150952119,0.3461633566797404,0.5051221027169591,0.32346238524137233,0.47081767873873487,0.38551302941097015,0.3592052785409426,0.5002914249018012,0.45984349290443594,0.5541978413772212,0.6973471528701197,0.6768153852745228,0.6269397906088273,0.35203075674964385,0.31543341776214173,0.27249120896807055,0.2783517196432368,0.25636170354592047,0.3451313845907029,0.43996311794502724,0.420634547591191,0.5945945395979597,0.4258066052168799,0.41065829562844747,0.36170349666587176,0.38483107281894674,0.27918663471131855,0.252703383233455,0.3050369229759576,0.26473564922280685,0.3641875309244883,0.4636621396274693,0.49499339570148476,0.5990562568907296,0.5788906333511774,0.5439186681295741,0.512245334533516,0.5398736947833415,0.5425356000055369,0.6347846418194921,0.5040477314452038,0.3712537098066779,0.40313677603496484,0.5469729746206512,0.5763581092031119,0.5017549684788185,0.494712168281022,0.513410730339656,0.4003119101670641,0.3716656495754831,0.3447361453794182,0.2662525885407503,0.3218561037580451,0.4074817148463614,0.5689576019046395,0.7227455153943093,1.3647768334182768,1.1866795484123775,0.4436761885197844,0.31055322377753436,0.31281008632204754,0.2729472324628534,0.3300473519978282,0.3804672976987393,0.3869524864614411,0.43432815719063167,0.46658007056346634,0.4572897805390332,0.5651314027278512,0.5780542477915399,0.6892564663236395,0.7345053007652299,0.6981553379567155,0.6035826778847171,0.4934705897757385,0.49176016217624363,0.3973043985518374,0.36316363063840795,0.37128030226752723,0.39446040833418805,0.46432452261211676,0.3946286244136472,0.37828313680712905,0.6120136735550024,0.3754627712586178,0.45497906035514807,0.49884078430256756,0.4942550382871198,0.6263819364012417,0.759353533549116,0.8976026644794278,1.843851352740363,1.0228761490663165,1.2712350760017888,0.7794186814902988,0.7408913946170909,0.7470224560200447,0.6414620583034829,0.7334671429282047,0.7927003522956363,0.7312931842751715,0.7080667490986067,0.9104384549876146,0.6098509285957014,0.5117334304179617,0.5540991982751268,0.51387463413558,0.4501132019486595,0.4404685333051759,0.5852131447426198,0.5053583569050392,0.5043725506743675,0.6057976558637082,0.6526454719168723,0.6773821415713865,0.7699540019589701,0.9128539459892343,0.9100868416775367,0.795589433189998,0.9088518291568273,0.7355978286041004,0.6418240182697923,0.6535304450361337,0.6254646263138044,1.6389861789028244,0.7877199849023594,1.2196254003112006,0.6752633216889733,0.5763060864970551,0.6245304966092352,0.7013811488891963,0.5787373412341404,0.5792408346067927,0.6945517028835299,0.7972175960691975,0.8049188716695893,0.7823075755104401,1.2426081592841112,1.2005460369585736,1.1086691824705341,1.7196638375916409,0.8800333540454297,0.7956001246409659,0.7075638124522236,0.6325283132143216,0.7709809847040601,0.7133817790722334,0.8389752805529124,0.6619762464388363,0.591223582447338,0.7034929245869604,0.6129557115625299,0.4953892079489296,0.6386722653832728,0.7732194302312537,0.5801448881119912,0.5711046587060437,0.7793706195773324,0.9122793361643508,0.6989037046124765,0.6615471780558946,0.582223379196456,0.5052092585391512,0.46402249358641035,0.471713451666287,0.49859518366950356,0.4867110800771186,0.4940195622523384,0.5527151821959716,0.6202249762810792,0.6001290414641344,0.6797603781436254,0.895173339979652,0.7716934710660431,0.8074150929369993,0.860968895839329,0.9943990027744248,0.945171901304738,0.8889202160378902,1.2862983278106013,1.3578734607582335,0.8899669219488701,0.7914195256295878,0.6674331896545407,0.6469764501058829,0.8500147485767955,0.7677940091696048,0.9418860204454719,1.2429821890138482,0.9534791204176306,0.7244784566447624,0.6536502282124388,0.5227005270172641,0.4532079156238581,0.36664193969193143,0.43524150367074793,1.17443303762661,0.44119828920281534,0.5511776065715304,0.5932450905223361,0.7877773383228609,0.6926968785286304,0.8011189844407113,1.4088939033816354,2.498822192886563,3.019314589602656,3.8143824558970283],[0.6856475032662295,0.4591843780772129,0.595683963963236,0.3588130267669011,0.42112662409002427,0.40488531422335494,0.35517712762455084,0.28437299998496557,0.2208728380563037,0.17616486797042885,0.20976895972385595,0.31726211056772297,0.2270019061964188,0.1982529132036166,0.28376836675450773,0.2463694840964955,0.33286627655639944,0.2992211502777265,0.3608771642464318,0.38136951889188603,0.4266272764083356,0.49001074196580113,0.5435686771483207,0.6182010816542448,0.6085751190838165,0.4914758168380373,0.41072096538536185,0.3372084846269371,0.31914191499365185,0.2980004740693115,0.31356575716869756,0.2798850553311302,0.3927712170918738,0.34963548030881353,0.30585152285843026,0.30409414981026595,0.31910374894662696,0.331459400269971,0.3393870857926749,0.361306734812862,0.48659822814072806,0.41521733306472813,0.41277856453225253,0.540184244313303,0.704505200574453,1.191242943864085,1.237835625703247,0.6266829184928049,1.2271384802072984,1.4692905194915518,0.7912680821079179,0.9710171611473275,0.7257042215145981,0.622643615815414,1.0919260115530964,0.5458653213634606,0.47124355696228787,0.5964812391788682,0.6649479522216392,0.7658166128678822,0.5323810298029963,0.5395905061220365,0.47432076514516647,0.5471480267886827,0.45938839970759526,0.4317646494793994,0.5995960201180099,0.38218117037721877,0.5201301954156965,0.5868661382329773,0.6810942424419486,0.8923161379900448,0.7880953448724314,0.6619544302624737,0.46811643772220823,0.7792720893972963,0.39155498027664504,0.369957688295094,0.3532675325783252,0.4100150043368748,0.3691094900171546,0.594075871781605,0.742660153774445,0.439012849569664,0.5568198490299899,0.38099740610857474,0.3697025327835654,0.45499059018989196,0.3053819032281285,0.3746126669645424,0.37605757598814976,0.6186257570687885,0.4766022751349914,0.3390744909945684,0.3195398441370644,0.43787687593380875,0.5262590420651172,0.37270487699729926,0.3436154203271057,0.5159880531349683,0.34960430616252736,0.4978759513624536,0.3995717439607478,0.4055639291311138,0.47198750193117944,0.43976019536086464,0.500796371912343,0.5720777691803961,0.5657433655297245,0.6235872209796389,0.3406463232241032,0.31266982626274803,0.31702338107460204,0.29895372289722905,0.2846829161820562,0.2707708372709313,0.34568106531443565,0.27846470790149264,0.4380292198112152,0.379938931874074,0.33057248358320035,0.286447460603595,0.2498550885275064,0.21348690947131113,0.28079010021214246,0.29299378362859496,0.30802272006829234,0.3516666606551308,0.3918412691130379,0.41036552060209114,0.428233381566844,0.43230125080217424,0.37924091539480326,0.4412319386490649,0.403347126308671,0.4118623710202299,0.4828860232325855,0.34611235732317214,0.382639968284073,0.31459609190161975,0.49898239219172486,0.4806179557548891,0.41922517415230304,0.36839816298339034,0.34457022146663085,0.32237347995630994,0.28207911156339377,0.329270065755686,0.3010416000815221,0.34944484107394463,0.439560246648029,0.5992539847984822,0.7171008362749137,1.3227509322960647,1.209642479721222,0.47434848634493754,0.35358866670165334,0.3709191062782205,0.2834505882374602,0.3514965246978406,0.3315070310162092,0.3195079867195553,0.31621927089791063,0.3449235108168767,0.3621129777452448,0.47790247021294685,0.42435872587666473,0.5039791645729118,0.5377204653411313,0.5250633559992335,0.42421628063762257,0.3480429722008405,0.37100508726764214,0.3203404980243511,0.30281716558563454,0.35703378292294397,0.3676115249409396,0.4873241067690811,0.34339119240473465,0.3503343629687339,0.6355935722622191,0.33174458008476565,0.3579699049656939,0.36428341173674583,0.3608670760306264,0.5814217647857371,0.7195704176786378,0.814190901158859,1.7868655256231527,0.9138363873888572,1.1233770321350216,0.6750058685089662,0.5608715378958214,0.5774061389085469,0.46780034626928735,0.4944142070424394,0.5815473209978786,0.5378405016110493,0.5322758279653583,0.746025419954396,0.49443342062900225,0.47774943758803456,0.48181831881852616,0.44000741950445466,0.4350208931339559,0.45645285166691973,0.5906850408106201,0.4969759070763641,0.52558457242557,0.5938864528685268,0.616979128791709,0.6361915149302058,0.7230670051454442,0.8515332911262343,0.8089818819385478,0.7338305694724148,0.8710344599974591,0.6735558376326013,0.5973809129510446,0.6202917568356248,0.5553076141507904,1.77142337956473,0.7236886175368971,1.2276138707083832,0.6496197311257261,0.5610810905546494,0.612842732609359,0.6960804864167046,0.5216532956497364,0.5071819714468863,0.6358839282936067,0.6831832906311385,0.665094137791488,0.6033175388852346,1.0621910339292622,0.9217356400433824,0.8929291211711473,1.456721967239466,0.7001853448587381,0.6654277074819197,0.6537297945678973,0.6580004139745875,0.8340612147983509,0.790494471077037,0.898946073242039,0.7324157905726568,0.6513485212410189,0.8068602556538518,0.6673760472192931,0.5406055388570203,0.6806127414598686,0.7842319055906736,0.5925092759859059,0.5938259587332582,0.7939824298881978,0.9023141507748872,0.7009885693507707,0.6699607695411768,0.5876425569348913,0.5332884700138331,0.49801819796693264,0.5081078654320692,0.5076887355273795,0.5014474645533071,0.47799821388006253,0.5047343992481986,0.5900643257107183,0.5339694420381927,0.5660515525354411,0.7808271924317332,0.6917733025386026,0.6583681889389693,0.7333852802543794,0.8393861454791683,0.8132265202312458,0.7955940435228462,1.1429558851671173,1.288609672166176,0.8003552730892585,0.7202656906411072,0.6385088083493706,0.6205042878175606,0.8260726887393912,0.6875928655388723,0.794388612052905,1.0549125163491504,0.7763550081968293,0.604456083407689,0.49830697393147305,0.44264303614992556,0.4176245040959591,0.39302145805338146,0.46686644764812374,1.2152341167521952,0.45301969807741316,0.5437171207099217,0.6840480740651876,0.7402118209769287,0.7386317435331524,0.7962839628294303,1.6713417576291136,2.846543157852174,3.627969329025103,4.626482144925981],[0.8244769460450946,0.44981262423298024,0.49766587596610956,0.3251569624277851,0.3743534895291677,0.34091748975080505,0.26530940784529805,0.2260468240146063,0.20046051817230126,0.11951113050161237,0.18662295851414218,0.30405989508388676,0.17589924705465865,0.17705687446325383,0.2846288490820863,0.22323860038818463,0.29200490004314006,0.3050494015174411,0.3920011049499398,0.38222210571697285,0.4253948720107088,0.4670952610789211,0.5093929959997197,0.5955905699697174,0.5719154383072814,0.4800344199368754,0.3890383319360305,0.3350095600657946,0.3026201243837191,0.2845818614626465,0.3049802610361066,0.2634738525787522,0.39674730032094285,0.3420670373466547,0.29919323965297423,0.28080354612815595,0.2869850812689911,0.31279961085689845,0.3164788136726654,0.33806696942519376,0.46744222696482757,0.4082968971253921,0.38443351412832766,0.5024224601652352,0.6499254199397432,1.1519157467660166,1.1514113919654079,0.5980902367005152,1.2795804192771323,1.4788659827409603,0.7446067390673609,0.8673637069769897,0.682812041461783,0.5421974020669476,1.0479331379095727,0.5267363832881973,0.4267922800482892,0.5661716569417509,0.6991081954287924,0.6856021523669658,0.5012841570941321,0.5404662811644579,0.48501278322545127,0.5686419883063208,0.45566283868009366,0.4280420835387044,0.6110463375506271,0.4096179618311111,0.575788727464621,0.5959349001578688,0.7098881899296807,0.9360100958657245,0.857588780450787,0.6822979799069455,0.49043983964051335,0.7860485400701374,0.39431926520350613,0.3734972020958146,0.3349755251748811,0.4148524027694051,0.3408157076016876,0.5451436216851632,0.7874562071912995,0.3755333896320651,0.49638297730715636,0.34742896247374394,0.33810909594632566,0.4309625117431764,0.286530025280426,0.3755484537436115,0.3557087361443219,0.5869835064995174,0.45076727926561005,0.32591255148076964,0.30803843670460607,0.3967651089081796,0.4728254113764519,0.34113963201087094,0.3279166237315223,0.5644385609500386,0.349096909311361,0.5434225539740742,0.385272584289189,0.4198880799524663,0.42694088501367766,0.37725470254853416,0.48898635720266126,0.45235383344420077,0.48510254714893464,0.6041552970962295,0.26935380769928696,0.23263318261682855,0.2302747573493258,0.2730259879052611,0.2540700249489472,0.2719645673034369,0.35835718152783275,0.2827619759838627,0.41825177812996256,0.4147106545857424,0.3451218470498547,0.2835894861045324,0.2676968575978232,0.2605425726693815,0.2651085031677375,0.27429562150205317,0.28636216319019125,0.29690387613650265,0.29474079016469523,0.31563346567033557,0.31427665974407054,0.33526606631923805,0.2856432144455678,0.3948152149848414,0.3330926771990364,0.34474897829248313,0.47917441358634705,0.33868280598007217,0.4576066231411257,0.321939401486165,0.5072466471703205,0.4531948519000873,0.4044294004907103,0.33356215652265037,0.2977633621558753,0.29100243010602833,0.24086770657869344,0.2864835746370211,0.2511480477716648,0.31968289613025386,0.4492545056332967,0.6362244103171873,0.8546662106392527,1.4928808125618551,1.2697558043077408,0.520280561189982,0.3442865525352529,0.40000457978368426,0.2796915538318302,0.3637522072319881,0.2854728231226226,0.2844844887635231,0.27526366804124675,0.3042042294622047,0.3348641408411774,0.45680439275087636,0.3717888806412918,0.4582608695732366,0.5177549529138255,0.49784134306051286,0.37955232651119086,0.3069690802739686,0.312180265018167,0.29010514203471277,0.24902611335953856,0.314415498400434,0.3264460132001359,0.5126022998827043,0.30365882068136985,0.3245897802385199,0.6237432193905356,0.28428155062205906,0.30090171832476237,0.3143256578647967,0.3107280448933149,0.5699627145797916,0.7032381868993209,0.7617397421380331,1.7228857663436372,0.825763133018145,1.0114871924190727,0.6402443809881972,0.5002804724712177,0.5150172571667929,0.3872306764260706,0.38728467837160163,0.46553667271100757,0.39113863350565403,0.39594876842027893,0.5882721171841038,0.36264715976316725,0.3864806639526732,0.37001110819634137,0.3426892548905888,0.378944925394599,0.41287304534759844,0.5716659211701248,0.4589568208965775,0.5342855489527658,0.5589197513579998,0.5792650999890503,0.618110065943328,0.70685507946798,0.8294929503971856,0.7498309836512349,0.6841711686082681,0.8601864291296608,0.6368963010635137,0.5641105944016364,0.6045422696491869,0.5277799127429951,1.9251070651225413,0.7257293666238105,1.2607622107869074,0.6009768913143978,0.5512498494446019,0.6103717684256867,0.657798003785651,0.4674900839320467,0.4516290585321699,0.6242842386396554,0.6078504892655079,0.5926509353094743,0.4854647068668657,0.9270952209873997,0.7389844134978436,0.799293252714344,1.3232275838600351,0.6190281667827263,0.5371409267410966,0.6112363463445285,0.6833136094528429,0.8855490429658136,0.8519515502308651,0.9301540441121737,0.7811940460290955,0.6982723752633607,0.8939635295609979,0.7420757672422423,0.5787156037728012,0.7748830829324012,0.8802664470212446,0.6420747415524416,0.663688383718304,0.8887268322088958,0.9403542298976426,0.7183911631279525,0.7115321803663175,0.6131748667488,0.5664283841859621,0.5328428036423747,0.5324576479447204,0.5116512483756402,0.4797443634267645,0.44367167744536085,0.4481078474633785,0.5248930908968861,0.4445829547238069,0.4642831184947973,0.6906212490394009,0.622893393822038,0.5682629231505567,0.6324418545199297,0.7635647808429037,0.7391228516784081,0.7558479103466889,1.0189881714145725,1.2073694788974276,0.7956555997763842,0.6963134708315761,0.6088579891090119,0.5615270940347113,0.7862798884556567,0.7115812716241132,0.8213342967220372,1.0425470545828355,0.6923510093995109,0.5480134651415031,0.3828933375511119,0.36270074565084226,0.34963026572549727,0.353126948065144,0.4412405858515028,1.340781103411715,0.40094889835391434,0.5214461284427884,0.704082382896533,0.6940427459374006,0.737093858421585,0.8163121688111377,1.8118015896931168,3.0027665228676623,3.9053004216277034,4.806432258255538],[0.9095970754743112,0.47917376727176486,0.4898461329932088,0.33421943782500335,0.36927458408263863,0.33673149415495485,0.2652007413354584,0.2601989679839351,0.21571784725865278,0.17081430976058537,0.1485635386246605,0.29831298287962527,0.19048455060168826,0.18552849306477215,0.31880116116697743,0.263012921600646,0.3110785959241288,0.3602793807526304,0.47714590298241544,0.4285183795280505,0.483597811415862,0.5069102695620271,0.5433878268043983,0.6197132815278561,0.5453393648076353,0.5138773385214122,0.43190921217441275,0.3714364613965216,0.3351273971899977,0.3195487291827922,0.3559314623227283,0.3126375006173456,0.43474040098938505,0.37702094618142046,0.330291416594076,0.30825412099051397,0.3218827575562298,0.3497134420105534,0.35928472834756425,0.36878633439637826,0.4952221965261328,0.4449667425362532,0.4270785260868822,0.5128954244600241,0.6332638448685741,1.1084288002537295,1.0954463574263213,0.5953527925126877,1.2826507746794324,1.41910324253616,0.7618841839078316,0.8555850502200892,0.6876535938688811,0.5476392644594842,1.0352387114879407,0.5861443532542985,0.45582408612272113,0.6083532782426564,0.740295173824483,0.6949451173789438,0.52149226476019,0.5708201465240678,0.5350132325051061,0.6359933509675845,0.502294275749709,0.47591616914196283,0.657892968701818,0.47074726673116263,0.6517086516588493,0.6368446932084545,0.7508462786857829,1.0122992166659803,0.9166618262797591,0.7489102243342716,0.5540146071955837,0.8805501267606026,0.45093979342208895,0.4319425267548766,0.38001568662797275,0.4342273310517008,0.34890148356014616,0.48067616568974786,0.9287079381585993,0.4399449984357955,0.5084761876660295,0.3625427225315078,0.35320600642184746,0.4431230483357898,0.32788379670758633,0.4057251867836906,0.40678679727886163,0.6446051993158718,0.49579714839990746,0.37970193698131055,0.3513487033936567,0.4411942495083618,0.5155797157810355,0.3806428953186937,0.3874406386934861,0.6579444670979442,0.4062460320529996,0.565162257949844,0.42599683418900974,0.48322720875813646,0.45427776780032286,0.38453015527796863,0.4981602369570057,0.40832238874475585,0.43770204676238045,0.5947182143757431,0.2828715096932909,0.2545902905786816,0.24789576615774364,0.2950176070898463,0.2938681962595328,0.2887357701153626,0.36408275969063564,0.3199021520467709,0.4819817381025207,0.4752337362508429,0.39679108511089245,0.32176193221548033,0.3234553925725364,0.28593200198506,0.2605819974861111,0.2696020613993821,0.28359600029067833,0.29598378907284595,0.29573449524979717,0.32692636486969884,0.2940272168772975,0.3103326336648144,0.29965873695016926,0.4482335064978518,0.348751023617227,0.3438805471310018,0.461150555065504,0.33572237855960735,0.43123989590559236,0.3268916583083613,0.4956124132666722,0.5080725590491351,0.4563496359821888,0.3719300599455788,0.3146066989397597,0.3200548795405219,0.26833986676061616,0.3201467249958608,0.31672135886153313,0.3506007621629704,0.4878834626632113,0.7110917222425441,0.9204059230353213,1.614820881517003,1.3791606855274945,0.6212453173444822,0.41822936318266735,0.46771286716417215,0.35668486769180735,0.42945138645384834,0.3326022923409274,0.3227033876250205,0.2893115704961421,0.3302531536400545,0.3402894554615083,0.44858965807146517,0.36528938930213134,0.4334356239480437,0.4782995494178501,0.4704381379917437,0.36500872838858467,0.32149650459615137,0.33344744348865224,0.3256785330882954,0.31031785915252263,0.3660912433458611,0.36947093087034844,0.5735223345037046,0.3569773114618095,0.3851710400860775,0.6372386898540247,0.3346055483896826,0.3366955992417702,0.3280437257689498,0.3315856365338886,0.6036054555226822,0.724742471961727,0.8030489802299929,1.7248783634197538,0.8369521116892709,1.0080220955599755,0.6550603160299069,0.4894437025257998,0.5039637299555975,0.39649855177788645,0.3802724754920381,0.44787617831487714,0.36673909071074057,0.3738040761420512,0.5275933371693661,0.33841369477881916,0.38593402048101977,0.34249477035205744,0.3287339674805224,0.3841448376410549,0.4168466274908777,0.5721571172658277,0.4604034849599838,0.5442906085006642,0.5574742669054872,0.5804072872411741,0.6203272973772447,0.7051161007148916,0.837439762751101,0.744401304680734,0.6822201629185071,0.8663107985713462,0.6339516775777966,0.5669359471182278,0.6047114173289815,0.5258157892141189,1.9922063564372872,0.7335590928750569,1.2732847100282993,0.6060498856392323,0.5943377118416812,0.6499686207446251,0.7083240077162111,0.4998046822252707,0.47412858057031726,0.6454493578015739,0.6116566449782409,0.5651540979799515,0.45899066446599096,0.9230168649767575,0.6822110664978165,0.7592065310592802,1.2743052512684467,0.5774881549688097,0.5285491633779348,0.6446852757621653,0.7279115550442377,0.9415385221684064,0.9038250956588701,0.985036519539048,0.8329985415107847,0.7435441125834567,0.9587381936832844,0.7860579671499774,0.6059119636015656,0.8158203159991748,0.9069314261592946,0.6611645144744934,0.6963444790499911,0.9238803180747036,0.9445380818518649,0.728878928012659,0.735636472954454,0.6295327269787385,0.5931564125772036,0.5664639460036176,0.5691460454190164,0.5336133196827051,0.4900334492630248,0.45899216554813227,0.4483360365942559,0.5194510835133036,0.43542601222277005,0.45574365171786374,0.6642759950310011,0.6056204890293743,0.5370132383496697,0.6088977590436216,0.7401327626249348,0.7212427681378087,0.7426928509512124,1.0150302886243876,1.2072100367014984,0.7959180058015675,0.7002466319990245,0.6076527464540132,0.5606647280490076,0.7906914259114988,0.7116099687445042,0.8151022475771031,1.0225528462514983,0.6601446913918754,0.5197281894508813,0.3530083225828335,0.3450898040077637,0.35305631526051556,0.36357497331045696,0.44133104778998133,1.351818674182508,0.38865191611085165,0.5182970591206456,0.7207237360846896,0.6441515236903316,0.745150168719305,0.8298661575073107,1.9287882016988587,3.1694233708083526,4.27089634564966,5.251719876617421],[0.8616707713270669,0.5167214578452665,0.5418505639636575,0.38981314725447413,0.4846648580160552,0.40935817026143195,0.3520463862660752,0.31600128530653543,0.2752528216566932,0.24807113861314473,0.2859843088865281,0.38899221472005163,0.31157367916418366,0.3050713813852328,0.4201269301617104,0.3761962017565523,0.4300972656146743,0.45571658570140305,0.604643303282658,0.5476838394700873,0.6289058966769848,0.6359025463693602,0.6900542188464769,0.8004944060512045,0.692779373893882,0.682096574378582,0.5813415357698707,0.4970296069903189,0.44505985694275274,0.4213012152982837,0.46904482148905524,0.42705120674656205,0.5669411118866418,0.5086133229100525,0.4542451722171272,0.42771470376931103,0.41490272734862993,0.4728956343091451,0.47886338600509337,0.4906103259321629,0.6060331230452115,0.5521792687667831,0.5652591929516584,0.64522042755744,0.7789087336135615,1.1933113158531385,1.2527856056598314,0.7244283128604384,1.2554472076761158,1.4232332937948085,0.8788252165481404,1.0242043809888224,0.7885469475236992,0.6677666730658451,1.049106353391718,0.6808763341425519,0.5861207996874926,0.7009978726054588,0.7877629228762345,0.8247254543421595,0.6401750934994184,0.6398335400667357,0.6390871669952967,0.7697683832617556,0.6560417596132307,0.6070716455690319,0.7551811801941979,0.5856516211890551,0.7463265488858251,0.7092962304960025,0.8067796826494218,1.074493913576149,0.9308179876626159,0.869362378604519,0.6490770266485199,1.010452253653691,0.577501630025623,0.5597166659467661,0.5092292077730665,0.5462062432422619,0.45387098483466215,0.5340778109036091,0.9679833087114853,0.5357374328509059,0.6228871896620092,0.45996004560046716,0.4684679655984682,0.5203139737961902,0.4521926952732108,0.5174565260700281,0.5577050741075177,0.7881713386534417,0.6397189188803509,0.5596866970210163,0.5076449442059191,0.646946926318733,0.6681104448013186,0.5293546247078366,0.5125356916093771,0.7536929028561223,0.4883023404340098,0.5809999896830388,0.5057480000010228,0.4972174253671899,0.4777152044518048,0.42628880571527206,0.5236130086588482,0.5007467723076167,0.5046637500666251,0.6344866792502025,0.3371926736874352,0.34720028791369495,0.3387485176062012,0.3712917735896,0.3922841684393221,0.42047206662840214,0.46226977952097437,0.46956501384037636,0.6425067929261821,0.5349575165966695,0.49309558481667337,0.44246761589442657,0.4986367258508021,0.41610666451512807,0.359654654737271,0.37918486478121705,0.35190505653262777,0.39569993596487457,0.40935881719520945,0.4261186611355727,0.44074064810053937,0.44263085891046494,0.4316454438718017,0.49560449948164653,0.4574326659673308,0.46498006554894333,0.5358063283867093,0.46142792151173234,0.4778922113186034,0.4485998925379101,0.6022714796325677,0.7018388166770794,0.6098910002257422,0.5273948412178248,0.46806708352052034,0.4546062439838563,0.395889044787791,0.4034064356032828,0.3872682359889018,0.39676999713272626,0.5052747932131273,0.7324709440290039,0.9185841476806509,1.651350725417644,1.4351562433310743,0.6730148797924208,0.47753950943839185,0.4749761066198886,0.4096989829150797,0.4302947285650182,0.4108010221464395,0.43025185994828286,0.42109679641139613,0.4582843852259825,0.46869473903032766,0.5696953791122985,0.5230374206187804,0.6037191404525164,0.6250051776269385,0.6230321879613462,0.5224426988024231,0.4728841266459537,0.4689938575404433,0.4104396535610972,0.4026125608656768,0.4417076686304466,0.4385422549684076,0.5979367381998274,0.4507721644651062,0.4359255390456536,0.6839736329270542,0.39152113684500006,0.4124232415217367,0.4091429998560459,0.4210121550856477,0.6755393576384191,0.7907096710307779,0.9042660778076306,1.816741851941479,0.9926815714323803,1.1773156428084837,0.7839214699657076,0.6377123521021625,0.6355522956394042,0.5303552114430269,0.5266849726526266,0.5876303590642106,0.5213384601742364,0.5192915092016086,0.6835860524142013,0.4577113839991863,0.4690038142766659,0.45109921182576507,0.4316218652427742,0.4463847650319581,0.4737221781734545,0.6353807626619599,0.5188650078088907,0.5851348347899578,0.6058684459213698,0.6308868624862186,0.6752809215030394,0.7569784627322789,0.8742702883228356,0.8232168762502557,0.7581017075925987,0.9121329621365646,0.716463579261507,0.6190097706465802,0.6430856096394846,0.5942920011371488,1.9171711679157883,0.785254585946724,1.2667449584550603,0.6369511648738413,0.5977197874511659,0.6524999873834612,0.7049310787780145,0.525439434776749,0.521269672340561,0.6650351283252176,0.6583842466093695,0.6251635316386753,0.5749942816781808,1.0403463142486253,0.883517986288453,0.8995680681306519,1.4309552877873926,0.7072686483320828,0.6234896194599432,0.6636373704871189,0.7213153594405733,0.9166720997933313,0.8933105889461,0.9712489256953227,0.8178793085370208,0.7402544298922489,0.9479230705164853,0.7836477470907444,0.616695326251916,0.8250700069416295,0.9308566340393616,0.691418246983235,0.7219652239128506,0.9709159024404664,1.0048660856987777,0.7759023796451732,0.7758318858826209,0.6723526691733109,0.6160207511375423,0.5828912733592287,0.5868926667236437,0.5618832886643992,0.5318447454181676,0.5100817227020863,0.5123194901770661,0.5809024714545783,0.5289198899950166,0.5639048442856128,0.7758672331436837,0.6875023856612399,0.6649038082408689,0.7369546483846005,0.8553043962028679,0.8368254065567139,0.8346483237524173,1.15893356461522,1.301552636534394,0.885189755694847,0.7805707128671228,0.674279756650316,0.6164955839119155,0.849500794569891,0.8010253226933822,0.9305052410838993,1.1571289810207006,0.8041863693326715,0.6392556960273797,0.48351899353964806,0.43476651098499824,0.4363489003052632,0.40892212295282293,0.49207674314315963,1.367879691365096,0.44465237812793806,0.5623646484296878,0.7327656006671505,0.7012318349608401,0.7792943819168122,0.8606852093802959,1.8565449992443996,3.093205740671397,4.1136318659382916,4.962890045892462],[0.9512363458216657,0.534751837415194,0.49877847301491357,0.38227250281964764,0.4197550249365289,0.3642504235650481,0.2685214760333651,0.2968549853481266,0.2472170098295704,0.17774447383360367,0.20221059983920003,0.3426187381347728,0.21417954702185776,0.1977923684895214,0.33742893318668227,0.2793039138658959,0.3177024600303214,0.3631622674394433,0.5143119877211088,0.44553617652990474,0.5173286227832485,0.5308657281365401,0.5942432002664492,0.6989626223355274,0.6177877291267132,0.5784197236154272,0.4571647915945597,0.3785521109727863,0.33448904808099317,0.323022837441351,0.37820042580430724,0.3395729711739923,0.4840717897130841,0.41678095813219934,0.3510129708671158,0.3215405414246938,0.3262426580072642,0.3531266621943259,0.37017788963651244,0.3819220823542342,0.5049863061876909,0.45828588545547044,0.444756289857918,0.5572243883348239,0.7094056091062195,1.186313647473353,1.2300455769725134,0.6458203570000582,1.2542759733894318,1.4661007886628044,0.8128531171683848,0.8979622672547342,0.7103556919168768,0.5823885723856012,1.0579770576253027,0.5720776241632858,0.46663328161834755,0.617669665872809,0.7386900923899999,0.7063126220140231,0.534515780739853,0.5621067779504871,0.5493458970390299,0.671614044412679,0.5450334722525846,0.49206442343134504,0.6907251354171856,0.5023670177752608,0.7000154184888484,0.6669447111399572,0.7986850903637255,1.084399528725475,0.93715706627017,0.8137406793133126,0.5873108168347725,0.9376617433892299,0.47859239979595425,0.4718982033543252,0.39765031620622077,0.45413040072604666,0.35369412513563087,0.5053614211551248,0.8759029420869121,0.4099801302466782,0.5277839590545144,0.3663212515849819,0.36385119021364426,0.44001533460119063,0.3439618171237556,0.4309281410066497,0.44711867117561216,0.7061067646339484,0.5583099316696154,0.4537986761180324,0.4100871541491518,0.5225324611172459,0.549154496186225,0.4305378011730582,0.4403426097248382,0.742040215701517,0.4546247406043406,0.6372747805784608,0.4381139167076963,0.5087574677607399,0.46939258147490226,0.41202448794954305,0.5336239092127091,0.465003579038489,0.49429148560709796,0.6239130106583347,0.3092010609371249,0.26986493451020893,0.24640962204355915,0.3136130319331682,0.284670663064608,0.31589325142181,0.38611764736502063,0.3522719939239059,0.5592607113865374,0.46920899636518165,0.42047088651180886,0.33943116226393344,0.3610224630918655,0.3074006953483614,0.31515741088728083,0.3268346211125479,0.34172815274276536,0.32756259302373497,0.3167132098656179,0.3538546206272637,0.36780200018219533,0.3866962521338825,0.3275284424318684,0.4211953288976497,0.3765842032864575,0.3885820691713543,0.5290583448982707,0.37552704030379197,0.3948103160954423,0.3352606839895155,0.5157835050791474,0.5234098617479533,0.4694254673470396,0.4144717489310137,0.3479202739665858,0.3294514267714027,0.2767980275331958,0.30616334925890076,0.2997677936683049,0.3693469676066147,0.5278836156373699,0.7538086903212798,1.083757701900541,1.8043245027642556,1.4217800728551093,0.696564084832793,0.46457446927097773,0.5189291725626916,0.3738963956417344,0.44155313104855787,0.3293693749589695,0.3158016326399785,0.3011536781678345,0.3345160410573727,0.35697788416653276,0.48240683139907425,0.403837773581585,0.509468554276177,0.5776881959602117,0.5558961829424917,0.4243760745091945,0.34297725633850645,0.3424628147060821,0.3089742884359503,0.28836026316608804,0.3590670132857832,0.3690231376463026,0.5674846578345589,0.3420500685826599,0.3829208482355853,0.6263188755191716,0.3310772242260897,0.3394251266147557,0.34814826179299074,0.345835245687312,0.5931653146555503,0.7282201534578359,0.7903337529155109,1.7415406676953975,0.8330788542310003,1.0371155739326945,0.6501239491543036,0.5322261604453475,0.5562218517573436,0.4170540341423725,0.4397452619942599,0.520196236763461,0.4421783972214824,0.4586491155576617,0.5959311140558277,0.39476572054408576,0.42860015802791934,0.39651322646771364,0.3874309067949534,0.42749080673643436,0.4603996528969079,0.624467485812144,0.5045842353128022,0.6224691275644856,0.5918534852281605,0.6083212416987052,0.6765419443358487,0.763271931277986,0.8375412760863721,0.7849710267783809,0.7198532578478747,0.915860700285151,0.6970960079779828,0.6007142967331733,0.6509880774279636,0.5687431911354502,1.9222215240514144,0.7503687826670818,1.3417266810601025,0.6295988816293718,0.6143562810350128,0.6707952460453037,0.704905774949579,0.5143145561861471,0.5161371986087795,0.696551323575578,0.6549575323535278,0.6728136140218318,0.547359368195253,0.9229101033177889,0.7972740550525745,0.8743987047653349,1.3685789638556078,0.686469231698084,0.5506000401382296,0.641366581821575,0.7638830391626212,0.9789737636616248,0.9653074080765713,1.0282100121079496,0.8782654483386582,0.8326406720216425,1.0497342680704698,0.8943483768186439,0.7069971023705284,0.9620051551504575,1.0786172805284286,0.7870376742155074,0.831729269664343,1.1019029671123217,1.0820874084626504,0.8308174078285527,0.8550064780054806,0.7215916240155282,0.6905377100198405,0.6518553747227169,0.6291003009915761,0.5976359300888022,0.5295542868961458,0.5044741189983905,0.4815262028062831,0.5469742557150459,0.47769628409999926,0.4941838669789817,0.7562353380034676,0.6751140343465032,0.6406932568064744,0.6936212188843687,0.8510211211228923,0.8312048041670681,0.8426450796316083,1.089435172592249,1.2524789414788213,0.9148230568448934,0.802446664950628,0.6613218366764082,0.6002698388235608,0.8859757763156895,0.8717625000840036,1.015407715390028,1.2066521816044091,0.7837890638347245,0.6250727416748896,0.4369683732274794,0.4241511133413234,0.38219237580854964,0.4224503501873525,0.5134327854432743,1.498508057401944,0.4350577380763185,0.5741968182217693,0.7328862230901148,0.7313662153544292,0.7474862767172367,0.8646384388623712,1.8245677290344442,3.0056298881738273,3.944089351927579,4.5123986853237845],[0.9961722261224474,0.49950413005802247,0.4897766117532564,0.3321333862026314,0.355625465756401,0.33676007681200376,0.23162387585840288,0.29671784003466833,0.19936364262422424,0.17120329293813127,0.20094317592820451,0.3417023154566611,0.2238071393851915,0.18108153690151127,0.37346350759546687,0.29801946805806007,0.2971495671861375,0.34489735133968613,0.44455954896611494,0.3914344361767046,0.4392071855965843,0.4613325667721666,0.4940743786712908,0.5629609728137837,0.48842774392966015,0.4543005294781999,0.372602445329521,0.32398490863947316,0.3195284805968159,0.32380719902545824,0.3629239007764378,0.3558633029037882,0.4819952208331683,0.40573487271410935,0.3590633360938604,0.30947417441930036,0.3449797316255395,0.33794152329508714,0.3398353977421871,0.3683347744770652,0.4555910698906284,0.4281967502624602,0.3914706630623259,0.4875696245718322,0.5955566513475274,1.0954906666583593,1.0558524563795817,0.5924033668229649,1.335760523301659,1.4657524489283584,0.7536403291218355,0.7810370113187363,0.6787423686646842,0.5146517825526399,1.0589347879725428,0.5804617151555526,0.41409437625486645,0.5976949843722046,0.7780548297852675,0.6202638133335904,0.4944067783093572,0.5626642406793747,0.5238936440209021,0.5699824564785686,0.454776855556472,0.4284491211833329,0.6407336981365122,0.4630956795514994,0.6360835954143171,0.6203588143549892,0.783900563014099,1.036813269166455,0.9337706734627077,0.7280971676100386,0.5431271679048775,0.8542313474542683,0.41383062823417494,0.4360221837237041,0.3611762535354344,0.44843245510385304,0.36900226477389125,0.49571062357274465,0.9261984458923289,0.45142531566394234,0.47381491964801753,0.36307075566861274,0.35221281746471544,0.45947343186300543,0.31989872230572136,0.4293943505723151,0.39959453410831286,0.6114069531975345,0.4990406786720482,0.41235939761556933,0.38462770454106554,0.4661687661853555,0.4989805530580251,0.4153272346048126,0.4376383291263154,0.7268975522974003,0.47464905209079766,0.6803653183552025,0.4815368888097488,0.5564807425718216,0.5178747315558677,0.4371672897786461,0.5760812737780924,0.39389723875450194,0.4191230376616618,0.6344009806691879,0.3214136619392664,0.2862243357542225,0.25569061317463204,0.31658147231739886,0.29145746043313836,0.2811633935066263,0.346015919441466,0.2918231687435018,0.43214673884303845,0.4435322730725719,0.363395298893708,0.28866704761761913,0.2859113716454901,0.2774317191214282,0.2947803965303608,0.2923938663024137,0.30630804969610675,0.31503636528756757,0.30247564887347694,0.36600464439477665,0.3074144811647073,0.34457413112336926,0.3262107170452377,0.48383348036190854,0.3813500150653139,0.37232551870825675,0.5090826314601816,0.383153373655535,0.5054364999309257,0.3598356300581615,0.5062475371042298,0.4548168474311802,0.39943685875465046,0.3370804876478335,0.27622340354116026,0.28923428330987483,0.25414615698298515,0.3333591196731824,0.3359038714643151,0.3878197659825871,0.5588007959618844,0.7798190418166985,1.0969926080924177,1.7521157267303855,1.4067035161662487,0.7092489079986544,0.4932605633576566,0.5597538624034675,0.42334966660133205,0.5295039129074939,0.3665480526258683,0.32540391980208416,0.28656047784439403,0.30856414360708434,0.3725081937254702,0.4624454070898432,0.3792260652821883,0.4462721719143457,0.5182421579640973,0.5024254405579262,0.3945353395752101,0.34509730885178214,0.3418758976736367,0.3663565082177813,0.34229000883976746,0.40685997203302837,0.3970060515218581,0.6263474808166584,0.38493889875694565,0.4440957917454278,0.6558824094747412,0.41354619333671144,0.3950349772054702,0.3780545722934526,0.3591527396009554,0.6018214467651769,0.7242958169723391,0.7670840491563264,1.6539573951675346,0.760680610447553,0.9260772056148435,0.6507524391320523,0.5059871652732659,0.5337947054351553,0.4157445568565103,0.38424529986414113,0.4208327695300473,0.3331273479131061,0.356676021116844,0.4660678864204117,0.35296248404790803,0.4277877641868683,0.3488715316882734,0.3479551071426834,0.4371606844687579,0.45874007564765806,0.6009488633015907,0.4832538899844702,0.6029595236228146,0.5679464372236362,0.5882805281834654,0.6426743874831962,0.7234841884694149,0.8537724997377243,0.7360944382695257,0.6860379341079452,0.8748739520177043,0.6444733936993771,0.5679338629052356,0.6287900214793838,0.5541883746704738,2.0634547498827187,0.7697153982978725,1.353619369097261,0.6606564567359878,0.6909913645234942,0.7427646906414254,0.7828150016115468,0.5762722879372795,0.5572154890290377,0.7488728148636352,0.6680855120244693,0.6114211766596113,0.4859374473253807,0.906340459309146,0.593756142612428,0.7281059880494459,1.1817707496372976,0.5677972911401034,0.5115614407974673,0.6920420431517998,0.8344274563415226,1.0612443303103722,1.0247693693560356,1.0888175820335098,0.9475730462606151,0.8586937718779305,1.0806915343078953,0.9145015239823044,0.7057291211532043,0.9361274116117873,1.0157731501892193,0.7430177686646453,0.7938533589578622,1.0212283473890986,0.9931983831544395,0.7821782608428015,0.8061002464152738,0.6978744705136651,0.6816429667290731,0.6717674054678372,0.6757506464771288,0.6021392322352483,0.538494495319747,0.5399700545906764,0.49155881106626725,0.5302774489223132,0.4531251643131796,0.4784289377519943,0.6463041042345694,0.5924688526449825,0.5518792133376765,0.6162937812792291,0.7156199685990787,0.7025503871743617,0.7223797283559971,0.9205007582122174,1.14033728344669,0.8092416211998137,0.7139874364473892,0.611099505024251,0.559114981530286,0.8105764041499862,0.7475966437314209,0.8373912799286451,1.0054896892882363,0.6240983262095812,0.5097604383931791,0.35267340890622145,0.35034407109229015,0.3755488754748796,0.43985084464196156,0.4967501220280317,1.438401291137524,0.4118374633761409,0.5614496424045838,0.7801535327936988,0.6641873691962398,0.7724685731448724,0.9134069037435207,2.045223787467373,3.311551020168646,4.479925398358645,5.382602521580304],[1.0999038212355494,0.5864999830027686,0.5474786212962568,0.3557283675824538,0.399666715266186,0.399955973990104,0.2699533609350802,0.3703837260051135,0.27500319300644144,0.24758301767518207,0.3048812345653381,0.45387193196567893,0.33979028630019986,0.3752190276185287,0.4868834066840732,0.44511505866849704,0.4533051148271755,0.5376140221448498,0.6559401661553791,0.5712226301705801,0.6555959880639755,0.6347164739671487,0.7087209112789827,0.800668582091176,0.6119394644484899,0.6534677216785142,0.537347462062909,0.4718783795557231,0.46720516202886286,0.4591707333897795,0.535606374647567,0.527528066218727,0.6495768701920025,0.5864449991477222,0.5243871857270223,0.4746141368736877,0.4971756255186322,0.48155996888763464,0.48289481917838867,0.4948521762955405,0.5437584169466555,0.5806829167417998,0.5592390792150534,0.6228489818187636,0.741497096854081,1.1837593943950386,1.1603284072454103,0.6991733742743493,1.3668278838518917,1.434368377012739,0.8580902899397735,0.8221422353131936,0.7561601831542343,0.5984446199848922,1.106939365009772,0.7150888290188533,0.5710807088898703,0.7375776523411273,0.8975037198943553,0.7324369617867649,0.6551647773683101,0.6963504968157624,0.706658323794063,0.7290700465176893,0.6378357706679693,0.6055490859346212,0.8366627481516844,0.6597158040387201,0.8426772947502694,0.7634187232929083,0.9710023449016766,1.2438494940323521,1.0367596769815641,0.9334122038698361,0.6900865910827556,1.0419708252287216,0.6003946683867075,0.621682845604407,0.5487691357874183,0.595510972908611,0.5304938981806754,0.575567295241584,1.0817833906514418,0.5896818140768465,0.5524620468722583,0.4735645227320679,0.4993464008956276,0.5865189669437605,0.5037063304800509,0.5895836561986446,0.5947875390208229,0.785739513600221,0.6712211778505928,0.6162810641892045,0.5686284235262755,0.647335433592196,0.6592650843388936,0.5961796758277251,0.6292311086174747,0.9447811140983229,0.6357116044052614,0.7976865905809607,0.6208268694233253,0.653976563214447,0.597599437183046,0.4854976855319575,0.6274211233967553,0.4173911900944897,0.44885381158431004,0.6945088681487861,0.37914141056015455,0.33710942570142527,0.30191152589059894,0.3542671805977431,0.37291330646972964,0.3972234588995238,0.46218844160765504,0.46434137496433525,0.6514811347011535,0.6126985824438042,0.56894969966504,0.48429410583901716,0.4534875228979137,0.37516974993412533,0.33117107792704686,0.3292157972484589,0.33282186719181206,0.33803118352177897,0.3380800391863879,0.4060598464226921,0.33953096916770203,0.3785405103845241,0.35846368656572525,0.5239143508421599,0.41052565017247106,0.3873753554623326,0.5193415807803472,0.39371147716339255,0.4758192174655824,0.42904295354469385,0.5901157718142475,0.6040007440398086,0.5372240008653578,0.4827247367121823,0.4056748719075235,0.41298679611521305,0.3724752774145158,0.4243948803713503,0.40976377809423387,0.4366251962805879,0.6249486796749857,0.8569385392429542,1.2482882314918506,1.939491073135774,1.516763099856449,0.8906496510348076,0.6308371082072115,0.6715330556290267,0.5544105284545441,0.5977749852810451,0.43544724682529967,0.41494872278592493,0.3764931683161838,0.40177056431949687,0.43737588986746434,0.5285257476285027,0.44125107550033565,0.5049149405858869,0.5345844110786414,0.5362986031665006,0.4257657710665212,0.3898145464824397,0.3978291876895541,0.4317542544881352,0.4393148005234341,0.5114204464936509,0.5164330157532449,0.7302844428357681,0.5026733003356255,0.5577926880537287,0.7150101300015831,0.4766219840186695,0.45318830402079147,0.42881306021114746,0.4199899313077409,0.6865356409429343,0.8212197215793476,0.8714994385532601,1.730931855273364,0.8210631411000846,0.9768256354648264,0.6913810226123195,0.5390662231572751,0.5551436445170275,0.4363558808832031,0.41412597884189317,0.4569601401917663,0.36167072369985825,0.39233742181266584,0.5014391855763461,0.40883298902411447,0.5026429858460354,0.4074571861158928,0.4098985313734095,0.5217142467139899,0.542306085701544,0.6571863224022176,0.5669509294500137,0.7192696733370995,0.6600655959931497,0.6819896878111541,0.7567195594058428,0.8298556283054492,0.9261518907323386,0.8391203916229562,0.776849136255632,0.9673555097683717,0.7415134784797682,0.6637749322323856,0.7455139137634736,0.6686697573228808,2.0963550324013362,0.8750143583873962,1.4530858925478085,0.7559477513304191,0.7869837998069945,0.8300082582555807,0.846427438162663,0.6554241635478711,0.6269643110445998,0.802094209868963,0.709035650771019,0.6591512281423012,0.5346974520289595,0.9174787937088139,0.6336106691452614,0.7741487463018167,1.2065902613151158,0.5998394774975828,0.5479517379334641,0.7358867101989311,0.9019132092349067,1.1420287960546331,1.1409345318201687,1.1859263686381563,1.0325764119335694,0.9751570862020895,1.2140147145177635,1.0307461240002902,0.8177299652682473,1.092421316561536,1.1688309210311185,0.8762867401725593,0.9601437752957663,1.2106342947947988,1.1434711214275828,0.9328991271355481,0.9711589631856704,0.8374675132383634,0.830221774844135,0.808601422402232,0.8045711489350899,0.7393212369266402,0.6499535217168166,0.6384716406666725,0.5926582679922278,0.6199202396542104,0.5220249156529558,0.5491053141225202,0.7093833695122711,0.6475702023020656,0.5984860293681095,0.6583054732559114,0.789981674958659,0.7668555715440981,0.7964848252330159,1.000247323399968,1.196209964418291,0.9156235772869092,0.815873896818652,0.6866963265670024,0.6362874808907105,0.894144922588371,0.8526530237578812,0.9556612699361995,1.106231727545719,0.6974011039014198,0.5652400342496691,0.3912460726889221,0.38827724411943637,0.4216222109704497,0.5176958665418696,0.5940130940995995,1.4870318999475005,0.49315534817929335,0.664754786290322,0.8942835976853195,0.7408345558664678,0.829816324908244,1.051364719843658,2.1514479297703772,3.416487502780035,4.676679268101869,5.4291928798021685],[1.0876804105940776,0.591030858894273,0.5372672204181924,0.39244375090925754,0.4604544598067203,0.40807406858414336,0.2826996781123785,0.34712037877613955,0.2516454596100999,0.21597084027285576,0.25533851432717813,0.41349896268780245,0.28612822385890974,0.28837871008156346,0.42753432930428925,0.39353915318890237,0.38260527212919593,0.4685082350500666,0.6224087867726672,0.5292585412554209,0.6226413756474026,0.6015785144146055,0.6927421612988628,0.7889268789445651,0.6248667340220572,0.6416832998197065,0.5103505461978608,0.43373378055210826,0.40499670383247993,0.4031072281842554,0.5011223077868393,0.4885177635991553,0.6449618229257291,0.5829293622088279,0.49392550418288006,0.42625856585535205,0.445563890795624,0.43031909586721534,0.42224211232448455,0.4347616762002811,0.5223271375920154,0.5336829879123762,0.5114223455172124,0.6007595891013982,0.748683632672959,1.2017168164108856,1.2245629542409155,0.6761822942960877,1.286824156225156,1.430579618193101,0.8418062067897559,0.8545732167094274,0.7314323722163338,0.5817257962418364,1.0730757518215384,0.6632986357137831,0.5252641790890487,0.7102206363676952,0.8585207995491364,0.7239801010928981,0.6229014966573875,0.6593754919326179,0.6825996425742644,0.7414618127861842,0.6333998694097845,0.5784430167653221,0.8006369388718313,0.6245344565179609,0.8188296774312979,0.729695862879691,0.9065478882090957,1.1968387875417565,1.0074626666848248,0.9341917178329715,0.6747319350998947,1.0638138487500173,0.5868445145847292,0.6151869831165564,0.5273497507322017,0.5558797551643553,0.48282555182741366,0.524359944890973,1.0197652349752955,0.5039767215524775,0.5375693412889005,0.41833506877848853,0.44923375784584896,0.5364371541675768,0.4630615808997072,0.5748673807957942,0.5835807369955412,0.8164265255287784,0.695993985377391,0.6375051371201007,0.5675684178968197,0.6750208014303507,0.6667036259328826,0.598816676103577,0.6090696463940299,0.9386123188966978,0.6105014295514222,0.7773651605764916,0.5673956563162761,0.6006778825419977,0.5346067390477983,0.43408060018327066,0.5776737770223932,0.430411390697988,0.4703691851073999,0.64598300732592,0.3396692442115174,0.28657006861851214,0.26914364783900196,0.3357107639999699,0.33258824887566635,0.3576015332448824,0.4283576414456807,0.42034792301958535,0.6253444662012392,0.5491050812661549,0.5023724218357801,0.41868336680915375,0.4134046618418298,0.35964068936661236,0.3506529333088837,0.35131563187856024,0.3454970081390898,0.33684608494038165,0.3265024019480053,0.34782775107075536,0.3380099672226714,0.36024367803730556,0.3263595162048959,0.4613593828243285,0.378074866097977,0.3818770640663023,0.540451557899613,0.3884822679930779,0.42242388372827216,0.3793729115069942,0.5640654456299188,0.586437672129697,0.5107853068936739,0.4606950708424528,0.37775840154760115,0.3702584723690399,0.3210878936812371,0.36226871348047224,0.3478545185967523,0.405084058434672,0.5896504687964916,0.8242798409493767,1.2480888787778177,2.00033824835866,1.507390235847288,0.8641865439371849,0.5861864427064606,0.6234269324524337,0.48860550889473503,0.5328440300769488,0.37410032982383273,0.3672314141587412,0.32895038696348244,0.36014747953328163,0.3868353697729344,0.5003970876059333,0.4078975433001527,0.5258330662238091,0.5918450727912669,0.5767274238260267,0.4363631245254037,0.3698496191870638,0.3621780994492554,0.35738299290103226,0.36310449210408874,0.4483478276170543,0.4586769840678269,0.6661715764539526,0.42824929296368236,0.47920980702402355,0.6670223409450872,0.3995833902885042,0.37715505049669923,0.35384465822919603,0.35227454034009203,0.6239381967175214,0.7676367881246852,0.8343596762154786,1.749384297761958,0.8414101295690211,1.0248467556428347,0.6617274111076954,0.5249925992952074,0.5493080865016349,0.41728431204659805,0.4231550556939683,0.4941661222250786,0.40229759318520397,0.43759957519840925,0.5435265845834527,0.4063713029133111,0.471657247929298,0.41225904529107293,0.42689578937996064,0.502311179931,0.5262874210499937,0.6797425864761703,0.5745205802160268,0.7086409647354539,0.648538160595735,0.6784048124266274,0.7496098186236327,0.8119455947148583,0.9009590636388416,0.8507741921928497,0.8015096849430148,0.9808786653796091,0.7969706599375199,0.6958553184668791,0.7572478161282571,0.6723981748254574,2.0088242708534554,0.8520593913393649,1.4551463232886728,0.7316141629873216,0.7400052271117766,0.7839399353903765,0.7857236243526958,0.6171873770964309,0.6019258787983124,0.7732744980706205,0.682192145544257,0.672060365617307,0.5427842797624394,0.9023521768807654,0.739716191524229,0.8725083927277492,1.2974020183061084,0.66600164851838,0.5362034365862431,0.6901343101829432,0.8616354317394289,1.1034679847705873,1.096058962792701,1.1542696875094753,0.9954088122658632,0.9506385564732545,1.1941183994843159,1.0269350702772475,0.8095022700530022,1.0947698381019437,1.1936896436434883,0.8784117392396309,0.9601304779068157,1.2365077515238807,1.1549378518201627,0.9238074440502643,0.9668115108589925,0.8274370472574983,0.8146023882543686,0.7814382247354117,0.7597924470487555,0.7161193105940189,0.631727204198678,0.6056119052729445,0.5809160917200707,0.6336292969622206,0.5356284810446404,0.5459668116119597,0.7911077895549137,0.7263908293982227,0.6709760749690773,0.7332739648522228,0.8978642933784413,0.891742580198443,0.9144657149947042,1.1288387289740565,1.2921803962265042,1.032958243138129,0.9206118521584996,0.7524816376286372,0.6963948420333042,1.0045076235311772,1.0011229051312056,1.1282856103026482,1.2794921453002963,0.8225111503772721,0.6637185398081538,0.43767595295830825,0.41810420641698903,0.42045995225250155,0.4810343819393678,0.5676450514706685,1.5226510655833647,0.46230462865766886,0.6254740985073728,0.8367545604249159,0.7479212612545804,0.7771006282336327,0.9804451129279294,1.9967467823117553,3.245262349200494,4.380257004521325,4.869988104831319],[1.1273601074566049,0.6463832282168043,0.6160117741514687,0.4496141587436076,0.473402258743029,0.4219686465565497,0.31464783440625893,0.4205277857847824,0.3035535053201438,0.29543641179487834,0.335251807033037,0.4367479866081581,0.335584619128087,0.31280444756615855,0.47238532156360613,0.42155491650814136,0.40781868086001716,0.4715972854278966,0.5931284696954113,0.4980937335023871,0.5647581784447288,0.5740053923425187,0.5978495459347795,0.6818337543394694,0.5825196656385702,0.5675324771715313,0.45728937104974365,0.4058420580816796,0.4261165935197204,0.4368968896832439,0.509193622052983,0.49294570926601644,0.5948820545950122,0.543762713325447,0.4923455419309336,0.4258541674462254,0.46958322145497033,0.4411804973067729,0.4162525932960165,0.4414470329904654,0.4955280817831273,0.5104966832670031,0.480500990168789,0.5655455580443688,0.6800375774126917,1.1462583418092234,1.135708474402619,0.6408061448233152,1.3197099446786131,1.4835384188686593,0.793099887818242,0.8296031096650405,0.7364815670656011,0.5708881835204656,1.0977032642331528,0.6525196102497793,0.4951025609079579,0.6815066156667822,0.8608067738876892,0.6907597995906425,0.573725898947303,0.624397319709844,0.6278888825137136,0.6900139356309761,0.5924740770921421,0.5285204427135014,0.7576883232523033,0.6098620660414124,0.7785780838324166,0.7424037126349651,0.9169945969285747,1.204216064123195,1.0332248610981816,0.9002455940394306,0.6643094567023554,0.9829087358002474,0.5559459541673331,0.5980277096518927,0.5073831030554681,0.5609881822119718,0.5006599813068997,0.5710571103071843,0.9537442918553516,0.5106339603470085,0.5102014556209119,0.4435624645873751,0.44978345903597206,0.559389892271945,0.43469749817392506,0.5509780001789781,0.5475265099698736,0.7526790020771804,0.6333747019517603,0.5741832359346007,0.5333454184157419,0.6220439387743636,0.6305815774467441,0.5442350919713654,0.5719445337219956,0.8721625942647352,0.6092847045684929,0.8274393534525784,0.5990381432673747,0.6632881706395451,0.6233521426865936,0.5277430651872612,0.687816919674258,0.4926506123035713,0.5415755023585532,0.6835311221753932,0.43888192009583954,0.3636512085748719,0.33260975842351653,0.3653103558693713,0.36436324408337345,0.36301419027997717,0.4246681987816766,0.38512696317059414,0.5547854273190944,0.5248967833972463,0.4752027768009185,0.4022444854271583,0.40129945933948763,0.3766148784672014,0.37101932260300946,0.3844563831997705,0.3959176483568289,0.4059343002509204,0.37060784944028213,0.4456741642798442,0.37428383368885254,0.42488329672308583,0.3901723136619469,0.5379916983121955,0.44297088336718216,0.4370048510275877,0.5722023657796378,0.4249128985363101,0.5054848914501109,0.38351673820350607,0.5469944388446906,0.5315835641389772,0.49757710787857234,0.4142009271269288,0.3717964194970977,0.37366972018865313,0.3379875114470443,0.39489205799140203,0.3910228872917212,0.46285607214865954,0.634642728853178,0.8205105407958132,1.2875139132475717,1.9638510333876589,1.405459299085634,0.8429601295883998,0.6159554161144356,0.6677372156247494,0.5200750822978174,0.6038849350312946,0.4169217560368796,0.3969001339210854,0.37110615815924874,0.37802865313865086,0.42431127331529667,0.512335744860204,0.43482125214577255,0.5201782647026518,0.5938220800243103,0.5642618629051903,0.4583438696075958,0.3851671358208941,0.3821363906714738,0.4272856022728111,0.4186973642231809,0.5009899595146822,0.48443936821465394,0.7101369365895913,0.47783439401784916,0.5308488260210315,0.7131143297854252,0.48593642426487005,0.47689667461080454,0.45475092716473964,0.4244256237502141,0.6286155056983516,0.7620615817795733,0.7742191378035974,1.6699702747825877,0.8045293651286562,0.9593724846996318,0.636991368790449,0.5388214473654247,0.5765528180452443,0.45762876581916473,0.4397567818706592,0.47673305118184256,0.4190217402781996,0.45973009978301127,0.5259134008754779,0.4716746382489038,0.5498967463612069,0.4663933313355004,0.4848819186726711,0.5821143825653301,0.5916715452451022,0.7215714381936769,0.6282075135796437,0.7790006925614043,0.6860321331013038,0.7144614314792339,0.787613553609987,0.8356250886033388,0.9265365945936983,0.8602485846387253,0.8144904728564344,1.0113632450096959,0.8206478446996697,0.721768483726737,0.8054004949322444,0.7194991681456331,2.057632363697112,0.8795228698815416,1.5084045756508249,0.78184577277437,0.8070622955394607,0.8643409223668735,0.8722665787972228,0.6950211948075921,0.7088572139647716,0.8888432744286983,0.7846552735913438,0.7792545940115374,0.6318461711887347,0.9400257143127562,0.7126938190826274,0.8312716170263713,1.212661216625342,0.6803792354022407,0.5424101586136266,0.7504351398741329,0.9668471542407855,1.1894984426503141,1.1857639222563425,1.2087841913222994,1.0917282987277948,1.05206091108839,1.292243611496095,1.124714586336331,0.9192966589103102,1.2002148000931327,1.2982762976485875,0.9679259018927602,1.0464021405907193,1.314197886620325,1.2097295685047278,0.9756889181944463,1.0258471200226311,0.8923305555307196,0.9045194818160196,0.8845993827101593,0.85745803779077,0.7987847946498977,0.7016486959062319,0.6956685309104584,0.6529398199054611,0.6884572316329486,0.5868139395222791,0.5931303321804351,0.8084349428795263,0.7438691778007933,0.6636827650488929,0.7387485927310169,0.8617966533333558,0.8486686164178637,0.8942982145150514,1.057747228205556,1.2345254655559592,1.044396587166093,0.9322002872175827,0.7692293037277206,0.7304843585380509,1.0326054683011991,1.0125315850146344,1.1081428501785808,1.2221524993984263,0.7908400256315831,0.6602877617632399,0.4572913789913756,0.4337055700414843,0.47396507615905364,0.5718723901995751,0.6590595365827951,1.5916408576992025,0.5303297227693312,0.6778694397026143,0.850727024364882,0.7863284355855534,0.8168938687262154,1.0185937082013359,1.969621943488069,3.2129251918794623,4.297071918505562,4.647519030508588],[1.2101592903197071,0.6998273657681475,0.6785001702523369,0.41979581977167174,0.4772852426677703,0.4039877061168405,0.3100380613302438,0.43093027308015236,0.32074188669938736,0.32478041508367045,0.37959462240224695,0.4928232281398142,0.40240821037201724,0.361356139250753,0.5333362679956426,0.4941571744046039,0.4427280400854774,0.5230651869458106,0.619986229871879,0.5497083241420139,0.6081182548903888,0.5950757548128514,0.6498483946229848,0.7408208139360251,0.6046991018571258,0.6200636562558541,0.5167711227602839,0.4652755375376079,0.4715102726053866,0.5031098186166353,0.5709067375400108,0.5851572315096819,0.6980530560658043,0.6536892622175788,0.5868016969654444,0.5126685261583795,0.5518754928732131,0.502590902707852,0.47860322422440127,0.5035050294028508,0.5295546583770459,0.5533657169266946,0.5310845132754456,0.5953359746889474,0.707754861870527,1.175887700961406,1.1482553059362464,0.6951450461158967,1.3870111359900996,1.5207761689126738,0.8426095255939999,0.8019971544556058,0.750685868736328,0.5830712803201873,1.1207061589136376,0.6972529630005214,0.5454520474996265,0.7023974614622358,0.9052249283138316,0.7059359567073379,0.6286824723584172,0.6824654803743684,0.6981918246973464,0.7367505923060436,0.623793681042603,0.5862647532690488,0.8046152421867189,0.652391231630435,0.8242899732672555,0.7607169808425114,0.9370878601898682,1.2548175160149946,1.0627311367115615,0.9412720127657184,0.7044070792895446,1.0585147642477142,0.6128326651874708,0.686327557415565,0.5996697686905108,0.6404763085918319,0.585299680045712,0.6382692993031305,1.0325256104180598,0.597837797588502,0.5789373255706398,0.5214863837581523,0.5283944071932142,0.6541317375977443,0.5285015368574829,0.6388412032164851,0.6282879592305084,0.8146582847913924,0.7248328613151115,0.6840166506156443,0.6162692498686883,0.7137679138816325,0.687182177068473,0.6451046793575045,0.6725472949848293,1.0017498686405326,0.7193736540125272,0.926145846270089,0.7039652972388242,0.761162682488276,0.7235105273475069,0.5998697593588652,0.7691483347966841,0.5083447984894365,0.5392689219361353,0.7112500718718086,0.4688344028090084,0.4009094760958429,0.35158596668312597,0.402092046101013,0.40045366648290825,0.39278649607385874,0.46680809258991374,0.4120197923511853,0.6012648964447118,0.5706214772495424,0.5001655787119699,0.43646219878695874,0.4013706216013422,0.3873395937707113,0.3735984747544932,0.3853045274687646,0.38968154618072326,0.4197480771396128,0.39873971392184493,0.5354531785843369,0.420882571768476,0.4769896751029864,0.4521051989606,0.632733447941533,0.5111080558941493,0.49331139359369,0.5741061177746218,0.45711049097171164,0.5250835331199343,0.4284592348679237,0.5734127270923862,0.5367591169733626,0.47840873838582715,0.43750100173121087,0.4038328903644267,0.4306831183181686,0.38833961293852437,0.45109569152323004,0.4695239589446964,0.49915618662232664,0.6747257714410055,0.8303932821679211,1.3885957904526731,2.039543424655501,1.4045091129199387,0.9396278472088561,0.6997138747842685,0.7519996206748146,0.6112156585484027,0.6972819212558021,0.5031876864177427,0.45266641635152544,0.4040833961125752,0.4362255989380852,0.493297489170353,0.5448483558512635,0.49580623753636016,0.561547890617037,0.646500060654738,0.6083574691219356,0.5057451948307267,0.43718050476719306,0.46005066783515264,0.5046866139724988,0.5026888030544538,0.5942212047991984,0.583621806879351,0.811054260204988,0.57054128420123,0.6324541689869762,0.7505844642583427,0.5813203506457864,0.5586395811039663,0.5294423093022376,0.49392510975992787,0.6809915748611096,0.8012125191580852,0.8007723169307384,1.707154516870242,0.8043358050823138,0.9488716242081782,0.7044440964371764,0.5648737832165851,0.5933471267077107,0.5051527926896627,0.4763016759918884,0.49542153190173077,0.45217176634308665,0.47554168048687284,0.5334943178435545,0.5293491158633628,0.6381062129551003,0.5039061834662897,0.5243512667680775,0.6633148322398524,0.6503329377047407,0.746948726939109,0.6759042168674456,0.8648682366636117,0.720888552405295,0.7555701084807098,0.8413596233145244,0.8783101888753598,0.9690108229939697,0.9150123675922519,0.8735045823333771,1.0606232855367146,0.8827233109209061,0.7809306193892552,0.8811386231745547,0.8149984212168553,2.1633768503923547,0.9954290621719804,1.614253374615911,0.9120642502617524,0.9790770274898667,1.0203791844385546,1.0220036362211316,0.8471281199951252,0.8382784376814362,1.011574437683283,0.8740588070391646,0.8449772827980859,0.6901816095168942,0.9808924988911172,0.6810253795955847,0.8101129042205958,1.120279259560599,0.6553388019851318,0.5984756545707532,0.8663566845402461,1.1006116621835296,1.3434628298051228,1.3804222685173873,1.392021536008554,1.2457310316104278,1.2346125044564233,1.4860226950157986,1.306390716963466,1.0470558546266564,1.3626978121089508,1.441467215005572,1.0691118436869267,1.191214567751918,1.4681822771693172,1.3013266837081845,1.0736458448418675,1.1522523639178708,1.005362845125539,1.0462137356665304,1.0327135816713322,1.0106391749227446,0.924984116068882,0.7961627143076581,0.8121979043120343,0.7466076409528253,0.7454671520809706,0.6391305378870289,0.6683878987213369,0.8341849161612472,0.7665434262644771,0.6800163849502155,0.7566334100031986,0.8981466259561051,0.8876190110336774,0.937222502914902,1.0794284443986655,1.2551745401342864,1.116481301136159,1.0119801024505972,0.8196034680421281,0.798018850753401,1.1388086826165176,1.0888130320237166,1.1699511811374077,1.2411667872585923,0.7912184059971628,0.6645296773280956,0.46500514397759335,0.43817982832493285,0.5037558542878545,0.6392136208746535,0.7256702545766787,1.6230619688575212,0.5545777001229629,0.7153865321909315,0.8900304916560536,0.7752985814032266,0.8335739251166144,1.0927455864593034,1.9975533127238676,3.2978423294028807,4.570851954934545,4.873305491941826],[1.3132321958717281,0.8234067482698273,0.8428497860227013,0.5499093116024338,0.5688779541792464,0.48401396963380156,0.3777332361054991,0.4910763882601625,0.3922856174981372,0.3905199822131802,0.45034225991737536,0.5763586488713687,0.4924049459801963,0.41195584773607563,0.6402971484722746,0.6061253973573102,0.5211726171372033,0.6012650574196431,0.6441095103649224,0.6067941001324304,0.6326651358413768,0.6333990391275733,0.6602975109701853,0.736250284685084,0.6103419244821867,0.6277513700042242,0.5443110255408298,0.5151784575450521,0.556130477775592,0.6086282231804748,0.6706931432469262,0.6958768730740693,0.7858418912755109,0.7689114926675855,0.6925973823534388,0.6174792553867081,0.6527825960334989,0.5898975333675809,0.5485325706784474,0.5736755029358221,0.5753681826712389,0.6037079491585297,0.5787853463163977,0.6255168550972224,0.7148945987349333,1.1678645327663832,1.1140515759124388,0.7487402885436777,1.4673583810057707,1.5925109990191182,0.881593033946689,0.81970928225014,0.808507798155345,0.649966866306708,1.1966185329493881,0.7720004034850841,0.6018137156519471,0.7711996204076147,1.0022554979914924,0.7327867972320447,0.7058448182491658,0.7496530745654052,0.771988812566333,0.7946394870786738,0.6666829204003983,0.6262392101948564,0.8436226650890246,0.7333709750432513,0.8607032971958583,0.8133357282881502,0.9763749840765067,1.3109654657725345,1.1317912246013297,0.9869043927635474,0.7700254637754579,1.0891371386680566,0.6990727958524249,0.7880059540518258,0.7149770356821867,0.7499564430349033,0.7164968986661103,0.7736091467955024,1.0448290879822406,0.6644877688235207,0.6420133744355324,0.6354195518955703,0.6256603857240591,0.7452984635029907,0.6262526513533038,0.7755912560032812,0.7252642891698828,0.8664480348784478,0.8106684725091093,0.7777991896349873,0.712561898090336,0.8220735702216841,0.7886063709931367,0.7289774523383434,0.7537974193916127,1.0450791238853872,0.8129867936130114,1.0050318383223689,0.8004730937956617,0.8587331341402872,0.8408056423599829,0.7315848736198786,0.9225133941582797,0.6555572709740115,0.6568318360337412,0.7849369449776318,0.5822645910329229,0.49328322469072156,0.4143337338192276,0.4502601008825054,0.43786562728541945,0.4150115020520065,0.49218519094876667,0.43129284741379587,0.6087532428724173,0.6098202428868164,0.5285998255614948,0.45813575327580564,0.4005815858125952,0.38762203007474905,0.3834800145254607,0.4318581632692039,0.46521751728718774,0.5143192192479855,0.5280251571441833,0.6616691518269725,0.5632773578658975,0.6298099511483762,0.5859408268082421,0.7313698774779419,0.6169819913644305,0.5751222870322744,0.6383754773054975,0.5483032208965357,0.6060479198586491,0.4845345589282478,0.5979743489737929,0.5311514924902629,0.49595652530052686,0.4583635292579767,0.45594741963634045,0.5093609031373664,0.4490290694484897,0.5134542806588832,0.5265141132886871,0.5344892978933229,0.70613006015719,0.7988216012765218,1.4241452349707155,1.9273612103096442,1.2613083532903933,0.978824532541692,0.7709289058612286,0.8065085659290823,0.6935592000290227,0.7904707271321314,0.5841413217825624,0.5384287250258859,0.44699541639378176,0.5039372237132805,0.5922482086399122,0.5968687345903566,0.5587581331597764,0.6108096246079361,0.7202562383964318,0.6652055790064124,0.5795077808216011,0.5263624685341118,0.5426259565712481,0.598988098202421,0.6090414197860341,0.7071206784957256,0.6933093811772173,0.9326285258112242,0.6859501658775543,0.7557022964771037,0.808750909034975,0.6932153271145346,0.6825026187363867,0.6526496467768889,0.6043304435902055,0.7506330667394088,0.8461051681908572,0.8469728782455793,1.678181774055354,0.8013858221271244,0.9401442906368834,0.7382601110327048,0.629046531777369,0.6708629905137303,0.6349764545352982,0.5977843947424198,0.6019354687952443,0.6198702250786093,0.6250713811590604,0.6346109226142168,0.7267103370544886,0.8335987799568509,0.6567053668131713,0.6995614988582654,0.8667518748195651,0.8202920035809801,0.8798115854548615,0.8511688024545617,1.0426425532551298,0.8723277085743728,0.9280443651528746,1.010655632548294,1.02109080683758,1.1534828606409608,1.1121823877256451,1.0634317390309924,1.2196785868290778,1.0447073543040393,0.9627513420983782,1.079879369357555,1.04102769315098,2.3770544877793647,1.2325319556662582,1.7781738466429367,1.1406332021786547,1.2461798397235615,1.286360113049652,1.282778453591148,1.1196461649377039,1.0874573389985949,1.2454519379943108,1.1009265588914376,1.0418994840394016,0.8871983275214924,1.1294549923391082,0.7944275508769085,0.8791775959014461,1.0328543880507814,0.732606168831495,0.7686594649311582,1.075132101618713,1.333858030914703,1.565489938054189,1.6243841068411211,1.621455742347051,1.4792021357233143,1.4749432584271955,1.7325749628141498,1.5374650631529516,1.2535649239849427,1.5690420016172653,1.6198580703447694,1.2341968741481388,1.3954346809605174,1.6547539183723878,1.4346966592583876,1.2417458255969973,1.3430695991426136,1.1955649201698069,1.2684033331001596,1.2637492548531544,1.2519096907800578,1.147324009978883,0.998602536219925,1.0353381653276164,0.971806999196872,0.9389752313898306,0.8265491133039725,0.8811267844849,0.9485112962419298,0.890503331913449,0.8157236379894838,0.881099092545961,0.9943674722114345,0.9711815146315647,1.0409504203499655,1.1312608440332628,1.2957258511161216,1.2510996931614131,1.1341987747566025,0.9620501856571216,0.9626778593681454,1.2752594141145055,1.1812834191139476,1.2142328746209532,1.2072409385465523,0.840078272516683,0.7349951726570808,0.6060635919092265,0.545244405806218,0.6497890924911708,0.7902884697619598,0.8805904748426225,1.6395103674390705,0.6758058850451798,0.8495449923073798,0.9928170562918858,0.8609580018112588,0.9053165805639464,1.2304154836263614,2.022846389968744,3.3264412326352417,4.699347647093518,5.017882547070633],[1.2398346778868585,0.7840464340316402,0.819746373580775,0.4968392465110197,0.5833879005158045,0.4709885218687358,0.3868119555885969,0.504035736808371,0.3879843847305798,0.3512479869306937,0.3984604098535693,0.5230851993658351,0.4273259493891354,0.364188339946247,0.5559827001121201,0.5179411674669522,0.4552304138800437,0.5206059508068985,0.6056147424360874,0.5376889680439264,0.5837631626090348,0.5774922936328889,0.6349500641527376,0.72123613405651,0.6027992103850338,0.6026914229114119,0.502356698810648,0.45553788606377266,0.48001398913036725,0.5300633093169972,0.5864750202356654,0.6093403166386063,0.7239274336951163,0.6905026521081529,0.6065801961050203,0.523639961923888,0.5700790077399096,0.5125125691540255,0.4691029539710417,0.4988802289606591,0.5377952100165544,0.5339895302147762,0.5128185633854194,0.5782882199525842,0.6985245895621434,1.1806313078953021,1.1570177516040974,0.6855262551017696,1.3662950366324802,1.5315385537850141,0.808940690957616,0.8173264521641841,0.7532861886744399,0.5842752954234527,1.14673323949243,0.6897473883330613,0.5266119236677799,0.6992407278402051,0.912221817239828,0.6822875518058825,0.6257492942484337,0.6815037393355488,0.7064628892817848,0.7569788840496057,0.6140867025565313,0.572130623267859,0.7980956673772469,0.6508544182871784,0.8139306434572855,0.7544099262006729,0.9168923702100978,1.2800303764723733,1.0791845878286384,0.9714865298382173,0.7297107298486757,1.0884096812533897,0.644500338090319,0.7184132261746456,0.6259744336462864,0.6684589357533726,0.6193946138668427,0.6907644807090911,1.0100721387925917,0.5956677440420403,0.5940802442983756,0.5544765581278362,0.532242194289835,0.6653700830142416,0.539589169493146,0.6787213781282244,0.6565848949637288,0.8500925285043975,0.7598359522951945,0.7229717017434699,0.640387480454735,0.7454443093885852,0.7176636875615778,0.6678044890922903,0.6832218606215859,1.0014227781089418,0.7371207878812166,0.939299184041645,0.7252270613415562,0.7879526340393639,0.7634977045818319,0.6760189778201173,0.8444688660859664,0.6183520071702587,0.6504193911754923,0.7527043901264012,0.5609139245536449,0.46106505694528654,0.413134013042769,0.4466196145142443,0.40357862644389864,0.41963327281037655,0.4607807640512749,0.4259174647833201,0.6106440129330536,0.5738111359422631,0.49931868775814864,0.43620257974129567,0.415082913482077,0.4121793716263303,0.4206648015177172,0.47790056770959854,0.5030868032064996,0.4970490780781259,0.4997278950828496,0.6098459323946699,0.5289442074834679,0.5959271722100026,0.5373078603758802,0.6684066787264258,0.5679364345374405,0.5454599533517656,0.6383295156521507,0.5054416618500427,0.5569757608735127,0.46262763373567234,0.6044738656194146,0.5505953153809029,0.5014238732984532,0.4635557137700981,0.4138440166614141,0.4277185223283419,0.3985854384309181,0.45664194003379,0.4817314501376686,0.522072021962304,0.6744976022603192,0.7860094889112211,1.3982993183779984,1.9044102139410704,1.2709304127978145,0.9277329167356121,0.7117407825147873,0.7545739203397887,0.6320613154604365,0.7203786813555811,0.532215099691363,0.4666245105439732,0.4290624888808605,0.44375371458085205,0.5529351714725315,0.5484924492739772,0.5244989873850563,0.602598276591616,0.7163619799928114,0.6517929861102777,0.5573916784307984,0.4901094405193561,0.49714259813946965,0.5235731138497048,0.5241633327144447,0.629883933699574,0.6130531253119769,0.8544209440581663,0.6043778145937824,0.6730856094523662,0.7574511311388675,0.631468283707882,0.6227891304517968,0.5912663147679151,0.5407258146624951,0.6809696303034798,0.790801257464382,0.7994896302017567,1.6968423057145197,0.7845799891336818,0.9632850944340388,0.6875414869502205,0.5906601185817637,0.6310485228246596,0.5625150407320433,0.5554895549512923,0.590452500303111,0.5727246936249348,0.5855983112853245,0.6298868365661964,0.6530539216596563,0.7636479987158044,0.6285900118514804,0.6399202106603249,0.7765524140628975,0.7493864802411725,0.8048597285944594,0.7617413251257616,0.9732536229477249,0.7793754817976594,0.8252237570148964,0.9089775716651906,0.9177870088376838,0.9939344236729907,0.9903451692709476,0.9642172983033777,1.1480211291723244,1.0142994138066346,0.8756991853908715,0.9681759491274439,0.927316089138111,2.151381797662191,1.1429242181685328,1.7581328625734518,1.046615127593232,1.1262598468671523,1.165924158357033,1.1287399565300311,0.995600210832146,0.9826465441092542,1.1360644896121697,0.9851072418107668,0.9691278833907169,0.8171912027296974,1.040877397398889,0.7927985210068006,0.9009033996803917,1.1315276271066985,0.7711399650962049,0.6910721533000878,0.9555082553190748,1.2174327756665544,1.4506956443413042,1.5601463441536216,1.5305398427185601,1.3716169471857673,1.406634144058669,1.6584582824693048,1.481286518420443,1.200036409743758,1.5533310039425818,1.6331318738404217,1.205711184175674,1.3647267688028082,1.6542094100010967,1.429464983844758,1.1923246516977224,1.2986805821403282,1.1354421138428694,1.2046414675390198,1.1899872519701682,1.1545764659688473,1.0646430713779622,0.9091378726224423,0.9418475604409708,0.8679389026726704,0.8441662630308217,0.74898759666961,0.7850145559999778,0.9312500750126742,0.8682436140160473,0.7897352521940771,0.8721984575549349,1.0487940563505125,1.0284086924656966,1.088781852316284,1.224302512050994,1.3688221815730353,1.307714296544112,1.1947866580414128,0.952009439037067,0.950776804461381,1.3636479014169227,1.2917839187656048,1.3607473516581328,1.3632020630113555,0.9129531949263068,0.7841764939800547,0.5945729567900182,0.5672070860534995,0.6344641724097707,0.7409380881407502,0.8358209197168991,1.6900625589570444,0.6593476781510982,0.7883429523845417,0.9539748315566644,0.8700549010037397,0.8203905982066843,1.1513789809221224,1.7821816931987722,3.0385005749734684,4.36943157465557,4.328598570954832],[1.2992719545392344,0.892080467071806,0.9634731244546436,0.5645836515125504,0.6165869886441875,0.5169994922607875,0.41177284177741175,0.5389494553645435,0.42653991677748904,0.3990894321230964,0.46244858541712475,0.5806756642034002,0.501450145181578,0.425780453890255,0.6711189872081712,0.6232885249969522,0.5309090568090806,0.6239548273859336,0.6681093997965389,0.6360796893462394,0.6765122985487535,0.6736742920447831,0.7079713472777943,0.7708048262331864,0.6358058082562342,0.6489195461558441,0.5672935301732408,0.5236473351138371,0.5733286147838299,0.6273805344178437,0.7068985874980499,0.7275116888758216,0.83916208949,0.8213010129465569,0.7277962501092633,0.6541858826892184,0.6894090152595872,0.6244915709897382,0.5656384308388253,0.6081584710484965,0.5805040396505972,0.6246056207920445,0.6110271116290733,0.6475691887329145,0.730483653586772,1.1867495004326,1.1446553471686776,0.7444821910930988,1.42041438305423,1.5513111314970178,0.8684928357100459,0.8159049599556221,0.8531972277619514,0.6522978241066597,1.232754247218566,0.8285968796933186,0.6495367413266385,0.8174784682866314,1.0586874108338264,0.7705744302823142,0.7276009753977835,0.7848492165194441,0.8272870428461349,0.8642123860778832,0.7247451548619631,0.6883416778414673,0.881865286051389,0.7657481242657782,0.8996669554704586,0.8501693012353593,1.0107472046835635,1.3873870101294248,1.1773065180054723,1.0632537827706476,0.8499439991195561,1.1873648727275457,0.7855913236732113,0.8597047670279633,0.7662444784699509,0.7912364987829505,0.7375907756960474,0.787128322281321,1.097154053397817,0.7107622996170947,0.6579335899105302,0.6639388584539669,0.6646231949055036,0.7878717820489315,0.678115078322863,0.8125261121660862,0.7960749743608975,0.9811746454938759,0.9054727006215975,0.8715310800631031,0.7775434204751944,0.8781554148660343,0.8331370145821889,0.7899133761146411,0.7833246618537361,1.0758009475518042,0.8490200308448255,1.0273919791693156,0.8381667225104512,0.8748065462672276,0.863191288566894,0.7549368364879764,0.9690431523697034,0.6883528717946275,0.7015634146036737,0.8118124516887353,0.617714218557164,0.52446376352133,0.4563671648943847,0.4800452735362246,0.4467837437444681,0.44814803338284925,0.507943869259899,0.45093133310864625,0.6352893039295219,0.6301588831665261,0.5393287921881862,0.47437844814510727,0.4315271692071788,0.4351395521439153,0.4390002880704831,0.4938364614216148,0.5278721819121498,0.5394873428547547,0.5591464687106353,0.6975577172395866,0.6011833427102916,0.6805950844543671,0.6126139766138595,0.7567393985844586,0.635309235653231,0.5956028616463589,0.6743312073923984,0.5487348782016621,0.6068232683861676,0.49985605893326057,0.621023512093306,0.5620262484855905,0.520043741532502,0.48441519042712494,0.46716171155218644,0.5136049633225341,0.46557251289372786,0.5400535229409263,0.5533790819183748,0.5785617572132371,0.7333739879016817,0.7971462967184687,1.413557451341819,1.752897546533523,1.1934915415335354,0.9860593174212315,0.7903252201730271,0.8219822673000757,0.7161265991211876,0.7985734154939299,0.5977729843233353,0.5513188895528641,0.48282066330899037,0.5144036814665667,0.6081888557917438,0.5818932227885176,0.5717839190891755,0.6336222014219808,0.7452596574411654,0.6736670737435704,0.5941249180852606,0.5331854443948569,0.5609206738887462,0.6102841082494594,0.6107222610112358,0.7279404494672327,0.7087005910745191,0.9750552240640078,0.7147974930499975,0.783006041483225,0.8338737957703686,0.7155175354286535,0.7119003979811429,0.6717957918609687,0.6209275562513237,0.7590916492216854,0.8526048974773165,0.8508479825845997,1.6841833740530157,0.8150522640018386,0.9398825154212396,0.7431790095039722,0.6445670026138574,0.6702490581507978,0.6378518848307639,0.6397723950678046,0.6469917206764629,0.6649641242060472,0.6819912404946291,0.712139269922519,0.7993510684442454,0.914316015724404,0.7331305218689947,0.7617215837124431,0.9261612919726894,0.871372332284114,0.9135488004943532,0.8985540388409966,1.1164407979833162,0.8994092613855911,0.9688454807832698,1.0600020531178203,1.0384119610082676,1.1533766192653643,1.1734346514968146,1.1295035692824207,1.3015299106449598,1.1670068167495318,1.0372271855488235,1.138174248639134,1.1211993034966248,2.2820829056419503,1.3472768989505641,1.9255636946303427,1.2491730731003856,1.345803707971392,1.3722876269938464,1.3543376044804945,1.2163677129562247,1.177586155983542,1.322747499590926,1.1672364627714802,1.115963084279095,0.9660221736143622,1.1868702736398336,0.8800861337871074,0.9579083258235853,1.0967245558921837,0.8346401825293497,0.8314756470031701,1.121238372796687,1.3946687888173044,1.6324804290914328,1.7684686484777092,1.7300812251028743,1.5414096098208698,1.6008109005899585,1.8556840963351475,1.6515163171763463,1.3542680068115058,1.714116510739076,1.7613850824285016,1.3286639484324227,1.5371447528463658,1.811296425303771,1.53483174173167,1.3327616245470593,1.4628459752430558,1.2998963003906672,1.3989908673768146,1.3822061703220556,1.3606474454571709,1.2596165811088464,1.0822299939800972,1.129999479808131,1.0532886315438084,1.0052047205385566,0.8989805395802699,0.9650368461962558,1.0463478889962936,0.9772979490667747,0.8962809185168649,0.9903753319856833,1.1515378327041912,1.1138589214148167,1.1742950387220006,1.3023543423556767,1.4348171493706696,1.436997241611066,1.3062775141369705,1.0669836747860875,1.076008341957436,1.4749387690213605,1.3627517984699633,1.4073261907378523,1.3614096126280328,0.9633091965081682,0.8180048441997343,0.6676169477619311,0.604854376759028,0.7193425620007928,0.8369502129992044,0.9507278571804474,1.6964602372857345,0.7309648042865136,0.8876619114500764,1.0218566744996986,0.9037371373020308,0.887776245347424,1.2589991447514064,1.7526910892529135,3.053509351298886,4.481849393521419,4.628277773172881],[1.2259120868978906,0.862214708209167,0.9047730506225937,0.5808043439592503,0.6692550580881867,0.5398020396864217,0.458902732172874,0.5713918210129469,0.46648043357699154,0.4209585077802792,0.47595800545245426,0.5902312552146999,0.5108122274030884,0.428782798685369,0.6435352182828775,0.610591120065434,0.534186099511334,0.6058792498331834,0.6620658549215217,0.6189561547756364,0.6696749970049037,0.6621114506984602,0.7020523300031875,0.7727031015089029,0.639435871763746,0.6537151753616481,0.5676774108005903,0.5241928508442862,0.5598798048344824,0.6135881032824874,0.6861555253118758,0.7159665523837003,0.8278377340255071,0.810351684489525,0.7118930733574391,0.6336639233825685,0.6756523389567544,0.6113520101951203,0.5501859120394132,0.5841885955295256,0.5726458033320707,0.6114756291959511,0.5913124005142455,0.6496481959920151,0.74522339004378,1.2082875470245353,1.1828716917775914,0.7347220135811516,1.3807599587065742,1.5372914449693234,0.8524991733094244,0.8140454687774097,0.8368008761769208,0.6388753676142783,1.219695787803981,0.8013564706815355,0.6291430364147131,0.8057095667786602,1.038272653193637,0.7688339845010923,0.7154632619608263,0.7803382339120689,0.8197910046950697,0.8522662222276404,0.7080666162143885,0.6712108518322857,0.8784860352368821,0.7478316782638181,0.8993307292280847,0.8243213076751352,0.9938413424229997,1.3306314206863348,1.1407989113360955,1.032871267613217,0.8278902291324088,1.187597937677721,0.7623987050359546,0.8439883267948523,0.7470033323317691,0.7666945855367149,0.7191162645268665,0.778321556005195,1.0759117789054082,0.6819394357503357,0.6524857417826242,0.645524630679019,0.6484763157395358,0.7713598731480148,0.6561316466455854,0.7924648224941192,0.77474192230716,0.9734636587579145,0.8831402305134403,0.8554104112293396,0.7559167628173898,0.8600394883308421,0.8042772503950095,0.7743924418955127,0.7792239583376281,1.0817565108772176,0.8437692115999322,1.021477956403441,0.8277919983279005,0.8683361197949583,0.8609456497940358,0.7472951794664623,0.9709182492833557,0.7141633404784057,0.7397264002908145,0.8298644054213523,0.6549314935017193,0.5525020124169081,0.4867389003038521,0.5069627294637694,0.45274969732060033,0.46346372560796273,0.5234566913605696,0.48355502478293877,0.6832200627016731,0.6376990381326587,0.5654622010732966,0.4993573485229827,0.46756444126365354,0.45698970147290857,0.479233683452439,0.5534198045630949,0.5912312690528375,0.5718750970422978,0.5907376067984216,0.6921712388912632,0.6105867163785257,0.703677728229318,0.6228423981814984,0.7526452136729671,0.6346920281065519,0.6013822262337489,0.7023301630495349,0.5555225274904696,0.5838601749773473,0.5053997920080776,0.6379960758123561,0.5986427617642656,0.5355147106918449,0.5084348664560273,0.47720171198793926,0.5114246756163199,0.47010152690206114,0.5386569888249658,0.5577297379638825,0.5931116448366129,0.7294903660428413,0.798161356258699,1.4085320759693778,1.7245277504308045,1.1915850853689274,0.9825204494139569,0.7890722506081469,0.8190478077594441,0.7149474379079704,0.7843026009383501,0.592879353667388,0.546997677349202,0.48964326728172475,0.5111633530400224,0.6009664782052105,0.5980800892493509,0.5849176403096589,0.6566604182959643,0.7658273101355605,0.6962060484191457,0.6051704509104631,0.5383866817050964,0.5601494423951734,0.6070378165708685,0.6004856273021489,0.7193945012061527,0.7039655166655547,0.9678907300035028,0.705221613192119,0.7720831237655286,0.8283716495108442,0.7028155753968753,0.7052486149197129,0.6748576143918731,0.6261740811471905,0.7552604740438675,0.847677005901378,0.837392855872398,1.7267529045968695,0.8436536827079653,1.0155513936119411,0.7267694167882082,0.667567807993519,0.693599852079927,0.6347209263158671,0.6292856467931693,0.6538755672687567,0.6647923721751628,0.6837812963275899,0.7261895393772059,0.7841775190709511,0.8958300989790854,0.7264184846288795,0.748547303477319,0.902930144358223,0.8484234383300294,0.8955362104005562,0.8741745117696279,1.0837111701754893,0.856237581373528,0.9274686234812465,1.014444675559221,0.9862521492894611,1.0727483456643254,1.1265814018091775,1.1274686982037785,1.2478618509633643,1.1944800763213523,1.016403871414555,1.1007925191261916,1.1052564009714825,2.236725790668528,1.356808710094986,1.9036482049908354,1.227229176305178,1.3407568648270294,1.3470223897326066,1.3253797563506382,1.1969890066367415,1.1361072095759108,1.2713594304942302,1.108781649929527,1.0808510923683106,0.9403746036547812,1.141484625224673,0.9055012125111729,1.013756886550965,1.1554618595031523,0.870270340117905,0.7912138479737284,1.0694435689312793,1.3445110852493138,1.5903552081846395,1.7717403796927877,1.703585712927577,1.5057224543725096,1.5995205973231426,1.8550397103533824,1.6474825160926094,1.3433685803668558,1.734997190310143,1.7943387622840086,1.3283806257421473,1.54910175074936,1.842445559380348,1.555503163750883,1.3293745242461996,1.4721825497083418,1.2928049067566523,1.3965244328979378,1.3630660168121025,1.3340211517655267,1.242877067514686,1.047654574306863,1.0932951390281946,1.0200020533104361,0.9725600369885281,0.8743903149206914,0.9390867330900526,1.0589643669125708,0.9955187484416708,0.9303570316413451,1.021935408718885,1.240175128402164,1.1788974458371075,1.2581307853429602,1.4173207234370009,1.547681137219184,1.5291877525684812,1.4044877257886588,1.1095232075372645,1.102407338642524,1.5876558818050721,1.4756919436848168,1.532115016632544,1.4826284188463135,1.0306519927723032,0.8743411149026407,0.6798939740882343,0.6394356294409541,0.7509342723401439,0.8197938142849611,0.9605255768461882,1.7071326577687804,0.7588697928132733,0.8990934733967947,1.0602262497676902,0.9459934667020594,0.8442256587608472,1.21148129637151,1.5898357872885236,2.8134996718453245,4.274563901718146,4.271174634166763],[1.4290744595040616,1.095874102400096,1.187871698226966,0.7684211968616869,0.819143871559401,0.6992476020316011,0.5952509601394992,0.6967257353757325,0.5976098235234573,0.5652921936039748,0.6208525839606895,0.7395288872776609,0.6642693108665355,0.5731222610326097,0.8030900382252888,0.7649711821755717,0.6567865247180699,0.7492325593338347,0.7527744522716834,0.7538872278940404,0.7760579959595909,0.7818376809225475,0.7919440818625171,0.8211380380697221,0.7275516697578432,0.7390167829739961,0.6703251605124071,0.637807553608438,0.7097041192057886,0.7807876081790582,0.8569586441284939,0.8665809660781687,0.9986665908780873,0.9928146139452335,0.9017061667630623,0.8133746132022862,0.8356563761461074,0.7596995537200034,0.6928775075052497,0.7570028215757205,0.6845037681941095,0.7342172006841388,0.7208265461515719,0.7372784128789984,0.8175462494474633,1.23271853083366,1.1878612588602449,0.826941316740344,1.4780187531921936,1.6457462261812472,0.9645654290124662,0.8795853088709564,0.9772221981717979,0.7742009888117757,1.346728685357805,0.9793695569073316,0.7626665277450771,0.9553289048370787,1.2127289648451023,0.8576119693185151,0.807656927275117,0.8725987460989388,0.9329185760805645,0.9301974736029571,0.8132760155529904,0.7861596968608123,0.9863725351304642,0.8885135910898817,0.9753850764580027,0.9487113173509268,1.0712600502604286,1.4725209606063205,1.2741015719102498,1.1776267048471005,0.9704204032764769,1.2579311552564343,0.9140219092657502,1.012368570200872,0.9264905443611946,0.9711503258855255,0.9581351683284064,0.9711611955030706,1.2214938555763628,0.8890125806332807,0.814768740079227,0.8339350236161422,0.8106019183475511,0.9485184113188643,0.8338359722293986,0.9786802347931981,0.930628747781313,1.1356379864846726,1.0649380832345654,1.0289802471576892,0.9341358743352063,1.0532554074074885,0.9745076908418637,0.9523884279713277,0.9322053137127267,1.2265423613270043,1.0192524972458623,1.1827045405149812,1.009404431462371,1.056088004694125,1.0442221064235628,0.9658116729192386,1.1913236281907185,0.9323720948450437,0.9176627421953429,0.9930248165267453,0.8423751957712333,0.7311940701709422,0.6399497953871549,0.625408134753461,0.5752680024723961,0.5623489141616201,0.597923374317002,0.560000596911562,0.7077253214484206,0.7075201021985724,0.628327497380528,0.5712379342448715,0.550019663040286,0.5376195099653419,0.5706673738603824,0.6483903158204274,0.732124738485378,0.7394703448434308,0.7620635556000367,0.8872025658744687,0.7978081013272083,0.9056510438763788,0.8116473915594001,0.9431873283488889,0.8007737403197002,0.7490618882313322,0.7968174337012168,0.7000311342622558,0.7303356933480308,0.6388967045038115,0.7124005235903721,0.643267510055945,0.6213096439593158,0.6024515763628605,0.5997851259522247,0.6452833143419031,0.6043119408538576,0.6878558412706074,0.715421934196167,0.7285902121934082,0.8747797255651486,0.9116787694043857,1.4944275875199904,1.7090195621868345,1.254178587233525,1.1236768628496803,0.9261244877745006,0.9746820639337679,0.8547359417617835,0.9327783923990833,0.7626531234280034,0.7075418700468318,0.64469711929672,0.6862230969825488,0.7633724918349813,0.7181097221948649,0.7140780247376793,0.741004529203377,0.8502570621563414,0.7623071478333419,0.7356700586992806,0.6908087055294799,0.7165739781389883,0.7791476859056781,0.7868267520363896,0.9045951190899434,0.8677721610155013,1.1355324338379855,0.8917799324724773,0.9450558431154193,0.9668511303636902,0.8971780290050217,0.9039114768432042,0.8703081861776885,0.8067879919405319,0.9051777470687619,0.9604042556289847,0.9723412890726134,1.6855683293425967,0.8800354607815213,0.9887886025034336,0.8591556425636373,0.7916936462369506,0.8147285335921967,0.8114307767567304,0.8241979009540605,0.8212118954123189,0.894221330308717,0.9086326693311899,0.9209186266662022,1.0417314095260248,1.1380309823989991,0.956765892491752,0.993028386740765,1.1492471636054387,1.0758428472279402,1.106612197815961,1.1106275493440625,1.3045945465403312,1.0818105496118857,1.155478674057004,1.2362167552806744,1.1869119372987809,1.3058122281741922,1.3536531192789902,1.3266843402333859,1.4776761373497918,1.3890213464489227,1.2468890993709838,1.3498711792998572,1.368261184616882,2.374083580123265,1.6250451822148797,2.1294826639622193,1.4767072993806303,1.5712376601656037,1.5928238668252792,1.5850649538650927,1.453424673759731,1.4312737483462046,1.563219887138166,1.4209348037684606,1.371226967523434,1.2390731276988391,1.415058079807962,1.1355594160084863,1.151195270817643,1.2266860785727982,1.0580555962262512,1.0573705711204329,1.3244642728175209,1.612144569429458,1.8205891149030273,1.9944736728787285,1.932308403299269,1.73300070883997,1.8202867820050919,2.0654358191680697,1.8580605124769696,1.5502469760813749,1.9098870423843481,1.9364380417106624,1.4994273540683123,1.7379439363481781,1.9955557592209174,1.6808480511340296,1.5066340681978085,1.6598604290721157,1.498869811739299,1.6181486320988399,1.5991231546974471,1.5852767660330351,1.4785872752776936,1.2948540901056067,1.3534559557829569,1.277036311355391,1.21342811351672,1.1260750632357865,1.2096772115418082,1.2670651905683534,1.1852025660390324,1.1163526283809468,1.2127340854261375,1.3678619147772653,1.3058563855608225,1.371459661330621,1.5006206007310952,1.6259781810773628,1.6434797337179203,1.522191510901342,1.282344466516511,1.2902703994315967,1.6951916561399916,1.5670570279785205,1.593929888567665,1.5164663747547174,1.1561468025456643,1.0172180804854447,0.8840488523609502,0.8196459808297766,0.9445765419478811,1.027134429417499,1.142880587402829,1.7923688600476209,0.9346566087755356,1.0775488885047224,1.1840973481886532,1.0485639501133226,1.0418908421634152,1.3731030991808335,1.6157437651855477,2.859677303036635,4.332436478227111,4.613522828821679],[1.460883452845908,1.1712508088097882,1.2750693013065677,0.8315842808210524,0.8780552471738535,0.7515111475216455,0.686190195060632,0.824509717904486,0.7180647499028169,0.6710756755628109,0.741523885501101,0.8836762940493154,0.8066724704566781,0.6710558055164005,0.9219642122728487,0.9132928635910122,0.775111937754798,0.8521630674622108,0.8461583932548721,0.8597589272299831,0.8565913081303548,0.8807565760340963,0.8503031774448344,0.8770950513307222,0.8148612185517646,0.7998186693411647,0.7595517985108774,0.7446273245150595,0.8389858807751136,0.9197285792232281,0.9869144018202104,1.0334662914682733,1.1485273889630228,1.1392465213713767,1.0490904490746402,0.9463480072782132,1.0077502334438422,0.8912164495295424,0.8127422176769799,0.8788019862659854,0.8029917121781798,0.8546371539204617,0.858256797375347,0.8332089939670095,0.9049518634822461,1.2855410226010278,1.2365571233189387,0.8965627213647127,1.5284909804238866,1.674990410245576,1.0055131040841108,0.9703042498526044,1.0847517790202839,0.8962778604329609,1.414313817000446,1.080021098682433,0.8867319011007766,1.072996262746705,1.3178465549635308,0.9777160091567948,0.9642651677803449,1.0163898257923896,1.0604235222023677,1.0475616080498797,0.9240046144804985,0.9176942369591508,1.034350251597951,0.9852036822958675,1.009433241164502,1.0143388360573862,1.08411567515342,1.4365723264495875,1.3151841283472716,1.2010239272916812,1.041147632450637,1.2781582710254156,1.0187386737643531,1.1278986139285738,1.0584800942109966,1.1181268211488697,1.1304410071780633,1.1225697213505499,1.2626406221991695,1.005686774497792,0.914271036548158,0.9768941338714661,0.9562185305977353,1.0880479308615636,0.9668342897276417,1.1196672515402728,1.048107119458897,1.2054427063628068,1.161982909240253,1.1429956799923844,1.0594196821670878,1.1587208194461582,1.074160520824994,1.1034068838100712,1.0903665048634583,1.3623726243743142,1.1753328020766844,1.3074528990687677,1.1619732321108804,1.1804967962611237,1.1778933801079632,1.070091669122773,1.2606282801427606,1.0585969498574381,1.040966374457799,1.0906461858658267,0.9637197879403117,0.855960888952384,0.7575784656831408,0.7198554966437016,0.6830909460356317,0.6339162631850987,0.6957434464537392,0.6059526646366291,0.7007916407581113,0.7515486529258448,0.6453610438534457,0.6187615200189169,0.581841019127642,0.5895386187537984,0.63698890084205,0.7409775050927014,0.8330311451506162,0.8453571164214408,0.8719482526750063,0.9983777610281063,0.9049230226645564,1.0115553816456877,0.9185952347315399,1.0578451913799949,0.8988085689895363,0.8410051986765729,0.8679979502498838,0.7798847115707132,0.8004309055585225,0.7234216364235149,0.7647828874014133,0.6978258442949177,0.6928827439810945,0.6791031249621132,0.7096866881755776,0.7495979822636976,0.711984330885578,0.7899852805631155,0.8329122610018144,0.860626315477787,1.0005314703929058,1.0319900321025384,1.6153902049938418,1.7304461318760207,1.3487921008937505,1.2452432540752485,1.0682458744899799,1.1142859624651922,1.0018920795436081,1.0504241646168568,0.8794685800926816,0.8445680577929993,0.7555149686256082,0.7961170802289579,0.8661416590538323,0.8071154369622621,0.8078640017437736,0.8427708727001102,0.9470295321740727,0.8475481149405751,0.821016205255468,0.7797390410165888,0.8129683891495255,0.8899226177906947,0.9225485822237908,1.0433733812761874,1.0172984226610235,1.286341402211009,1.0321885792378938,1.0925028370865575,1.072436263508857,1.0342525331605805,1.0420939886145957,1.0040374947024815,0.9272382074900621,1.005055272224817,1.038042479008386,1.065301929489455,1.7426459001244539,0.9791004602444995,1.0753100524190682,0.925963134951294,0.88004497501717,0.9101788755085971,0.914574528922715,0.9374661949007622,0.9216458096196242,0.9980259068764842,1.008787039525392,1.008014345341828,1.1357940246567435,1.215218667810633,1.0402107726243204,1.0839942203592912,1.2358244647100576,1.1516703817633596,1.1839855177016985,1.197974485859221,1.3745258194142171,1.1576337294554728,1.2454650568820262,1.3155858402535554,1.2523336547883848,1.4056793899494164,1.4713463003924423,1.435397498470455,1.5721357548077421,1.496898006320186,1.3432751732874095,1.4450047679644182,1.4666723495214171,2.427403844686982,1.7112614745758552,2.193899048888528,1.5684368323535418,1.6632807119321447,1.6677318428115027,1.660902141653037,1.556481157130816,1.523865494219302,1.638946912063732,1.5117499899417506,1.4638362659400712,1.3314764327675723,1.5043166383065838,1.2421761709576462,1.2234020895428648,1.2471815183677708,1.1251993795665542,1.1366020736736422,1.403450408337558,1.683224508896273,1.8868711808593885,2.058907353459191,1.9980546930570255,1.8058031466404154,1.8860641352827778,2.108048463323352,1.9197757732135472,1.6152077703127508,1.966373985665257,1.9919111846488036,1.5551606391205586,1.794977063169811,2.0430150024387936,1.7202544559524973,1.5657863762702569,1.7165786331036383,1.5650538781681065,1.6869139963885782,1.663428076285409,1.6575657501124683,1.5593789172213393,1.3793566358491243,1.4413204072427033,1.3706640658021396,1.3043116996268798,1.2205765453461859,1.3102495616765462,1.355842336174299,1.2818372593988976,1.2178498657347145,1.3230105589271306,1.4688728911884306,1.396981318319661,1.4567831456790346,1.5870666553793882,1.6849687894848024,1.7315147933094526,1.6053002508378662,1.3713983632183837,1.3866560866575912,1.7791393857981046,1.6317332219243574,1.6440162209749838,1.5388368093818592,1.2280941975198687,1.087492014487527,0.9715846072845925,0.9029410672980299,1.0260809429334388,1.11115013744365,1.215156865130449,1.800244320662652,1.0279647701733388,1.1386328147186158,1.2452432407014808,1.1597075300638966,1.0954362525940746,1.4181505648596378,1.5456032247343305,2.7873493799305447,4.271072035965972,4.63721710449615],[1.4252749712024322,1.1164427726679556,1.2317660594334952,0.8301250115368721,0.9286910155006072,0.7885068556974045,0.6901937346360802,0.7875846332089029,0.6436967696217631,0.57393163413865,0.554602432768536,0.6874567564878028,0.6272482602750504,0.5004072944026009,0.6587174957645004,0.6623100252779125,0.5971939541253625,0.630597938555459,0.6563324560937869,0.6477753353525877,0.6272790526436103,0.6399071280855266,0.6837288140436207,0.7548500047952574,0.7186274688749835,0.6886724859443349,0.6203373575918473,0.6033888728126978,0.6245721108905654,0.6982982369502543,0.7014073801641484,0.7731410136057556,0.8419010620597994,0.8223506638300193,0.7645842803870899,0.6837354865594948,0.7521292506858537,0.6745264251059513,0.6350151688543546,0.6679061530142217,0.6983170231617197,0.65413836788708,0.6421664922229239,0.6967027504970413,0.790435258895075,1.2632604464851283,1.2385556669093172,0.8001353362743024,1.482321607738853,1.7442569827874426,0.966367209721841,0.9483456430664337,0.8867560533192962,0.7486213154505083,1.2530426330903697,0.8025778752503607,0.6543182773010943,0.8190293432175322,1.0341640616771524,0.7859301119339892,0.7529993164267205,0.7652883787157951,0.7819242918037048,0.7916043095368016,0.6773628564314951,0.645750444763457,0.8374810804765511,0.7229738599124734,0.8385638378501737,0.7885708317884145,0.9415194273381752,1.240599170839864,1.0934355451954356,0.9574469793353796,0.7424972829197981,1.076162576687935,0.6942252760915256,0.8189146371660043,0.7611987506668062,0.8120285013305577,0.8084518262275933,0.9254755258972216,1.0113130092048406,0.7802707931051103,0.7948179799996072,0.7701850520110118,0.7222985802413379,0.8477456943053715,0.6910917348923485,0.824881006719439,0.7380438629341092,0.8819317368589503,0.832400006176608,0.8102283450706641,0.7365813441029451,0.8334809691281414,0.7998112310371083,0.7781808307558928,0.8111985231115239,1.0923937957025853,0.9095551170261665,1.1173353131045192,0.9339036508165925,1.0109424946664638,1.0246305969976113,0.9845256944497337,1.208917905897222,1.0225226945325705,1.0246485959032252,1.0619420660693701,0.9393066319066233,0.8037037042771532,0.7127193117809394,0.6772662830181103,0.5809416533354346,0.5765622402454623,0.6009469944453446,0.5503793496051801,0.6292753048317414,0.6600721835239405,0.5643451521707088,0.5419333957960638,0.5440855402135879,0.5779244688712639,0.6317776488728605,0.7464690376278499,0.851327052061074,0.8454781028362128,0.8537052604530303,0.9048873131440845,0.8964059901442409,0.9833774918252899,0.8787030285469402,0.9596045487762546,0.8461491632369827,0.785294406035158,0.8983876716361495,0.7542790873679486,0.7582457344206923,0.6685059713864483,0.7298345023078315,0.6569633384773935,0.6364824629638898,0.6362278114631668,0.6074227823398609,0.6194037491225406,0.5986011899439445,0.6389368252488495,0.732201429783548,0.755972123631318,0.8984085433373376,0.9460711524800721,1.4798236755101748,1.7120355283629258,1.2271980640370772,1.0612330389805995,0.8873014027460847,0.9466741204951497,0.8127672002059214,0.9299183018166253,0.7912260437990447,0.6843065371596464,0.6624016305171723,0.6812079420846983,0.815020175352916,0.7642371555609103,0.7708995786246067,0.8196829269840459,0.9548506753889232,0.8446386340888486,0.8189655636791611,0.7350215997298906,0.7635304914481079,0.7783858158088077,0.7765522251027281,0.8648167268367966,0.8258585252582024,1.0179321323468578,0.8333135979222723,0.8943882788940309,0.9454250561716627,0.9001044802535536,0.9207716571926734,0.8998331067257028,0.8363538364487312,0.8778048901063706,0.9259561983790333,0.9392397371676325,1.691960284946265,0.9095661796658101,1.0546072672826086,0.8362301342684366,0.8300408393226564,0.8699585485393478,0.8912681685739975,0.9050981412168225,0.9405941717637363,0.9940041664520538,0.9974588635049498,1.005256384592541,1.0955390614272786,1.185359162323893,1.046259661294513,1.0618777389425946,1.1744494010674056,1.1316850253953412,1.1643138069340278,1.1432767165158364,1.317892811533601,1.122035843563411,1.1725092656252845,1.225156448505813,1.1950875921907627,1.3015855388653186,1.3200246708767345,1.3142800233454057,1.4340694781224108,1.3842070157465536,1.2350298709838323,1.2980903053379391,1.3135574510619636,2.248359647691474,1.5356563335965532,2.0716285011464626,1.4139792386951446,1.4829784715833432,1.5249030112094257,1.4868675386275518,1.3973639352079665,1.409809455854722,1.5270798902848752,1.3937394456685157,1.3779121543517778,1.2734424389844787,1.4283803330374594,1.190044047355585,1.2107717628520447,1.3540064209123683,1.151750270991226,1.1271050515520777,1.3109474007050768,1.585092716186898,1.7580160373249252,1.8966768736140276,1.856290645728266,1.7030790635090607,1.7574183435227497,1.9907650501982859,1.8315272875987267,1.5571518961042154,1.8868243524752892,1.9508618900314025,1.5273348167820975,1.706108716759661,1.9697086243561823,1.7107746935769312,1.4824685484504736,1.6000510788086562,1.451402740156472,1.5553758943413487,1.5604409125385221,1.5227020587843763,1.432311294827456,1.285662673113808,1.327426095944671,1.256651070112025,1.2160925114956853,1.1546701854919401,1.2081871687549453,1.2924421749322927,1.2386439362538935,1.1663071798386966,1.270504461459994,1.3982057389725369,1.3674294014356376,1.4319954514927056,1.5465374708449016,1.6533876163375676,1.6559957705677126,1.5500794247831466,1.325887823715088,1.3395632106636646,1.7384786343153427,1.631025255917635,1.6589123238119852,1.5944173608182683,1.239020763725439,1.11466465261584,0.987803197238497,0.9308058495452751,1.045222838084505,1.1023609632078093,1.1849182982055657,1.8385653544335416,1.0281844381753742,1.1293744536970014,1.2530047735944885,1.1357823772440676,1.0954693008761616,1.4014409568802757,1.6309513411121759,2.798090119318593,4.234928171741388,4.212638090691915],[1.3602647326043102,0.9609374499786465,1.045165745526359,0.645798881132897,0.723756828590025,0.6137726384255017,0.5252756043704706,0.6479134954894521,0.5388378655555522,0.4948975229368942,0.5227473572043413,0.6529017659569466,0.5787898875048515,0.4619866489333575,0.676019346379426,0.654657906130438,0.5738729448255236,0.6307266329848321,0.6565847796252744,0.6389664615189958,0.6296908658172244,0.6423106141177286,0.6639797429098868,0.7294894395810775,0.671801273660468,0.6509373362557247,0.5811638485758932,0.5644742399513485,0.604884145544488,0.6739220211490994,0.7072868083272232,0.7520973511269609,0.83217688630626,0.817785857525891,0.7508057116796972,0.6715769466824194,0.7226623523075849,0.6499729308436301,0.5885551736649046,0.6231833149191776,0.6301531607323191,0.631432070099886,0.6165113800994604,0.6535242116565588,0.7508181516776449,1.211119433821211,1.1691228330639614,0.7600453840267952,1.450608162417198,1.6673498808545688,0.9061147136771356,0.862993824665817,0.8604253391185076,0.6926833988594138,1.234054827664502,0.7963317229456389,0.6310752940243469,0.8083339531892103,1.037884134328527,0.7688871095345755,0.7466287207566148,0.7716015940928205,0.7891379783990811,0.8012451229803138,0.6842261952037206,0.6430145336245937,0.8425656802960593,0.7433083502680669,0.8524097124564568,0.8162156295574481,0.957804345682764,1.2697449314381228,1.1155904049996215,0.9702575831037857,0.7717012674023896,1.0879497654175954,0.7116190347372503,0.8242012255890788,0.7589689964438694,0.7983629216321007,0.7865142107272577,0.8869145134970666,0.9937718592615554,0.7153688428963845,0.7216726131336006,0.721626517244069,0.6936907095671825,0.8181365369345462,0.6773612037432883,0.825311880153013,0.7432667790444236,0.8731353776862886,0.8314339381220521,0.8086195783449007,0.7452883851928574,0.8461399403852895,0.8080817941740447,0.7734474034182133,0.7933303983877085,1.0637054655431573,0.8745158386214194,1.057440051537099,0.875178649005037,0.9277701471679867,0.9329033742651884,0.8545253473771872,1.0670059210546057,0.8371680124595172,0.8355340881256864,0.9083889740360963,0.7609488725656541,0.6539512473842269,0.5707416754865623,0.5496563327570085,0.5006598938266943,0.4889541887982746,0.5548489572931433,0.48363030452041605,0.5976988402436382,0.6336614117450566,0.5257037113968651,0.4894274033315031,0.4672456357114366,0.4709109350646433,0.49919187634022805,0.5927173080990885,0.6668386342507253,0.6729723383021247,0.6793276439793909,0.7789352639460416,0.7148318948494222,0.8048555567847844,0.7162270702149165,0.8322129753931908,0.7174703471178724,0.6667926640549874,0.739003153006643,0.6381562729807964,0.682325360766934,0.5744611639138117,0.6624212138002565,0.5795798774803058,0.559570409010889,0.540682163700146,0.5331253246680642,0.5589803160259621,0.5211722439602398,0.5734012609674543,0.6313287671701072,0.6605082661361719,0.7947043775810367,0.8588292681918751,1.4394097839550506,1.732303662053399,1.2091686001630364,1.0089021037511725,0.8339038420927596,0.8711247224726902,0.7538863080843252,0.8423164333507295,0.6873593176898043,0.6148528629658274,0.5624108592589614,0.5921416680867171,0.7060950367476312,0.6602926723214093,0.6536717654636964,0.7183874004924881,0.8350909136975987,0.7467639022917102,0.6858162462952171,0.6208441620258072,0.6436953061146624,0.6814540019566565,0.6875478554651878,0.787313128228327,0.7638630916931081,0.9798287556031036,0.7666846127843404,0.8227352617824003,0.8661549817047165,0.7945418950409543,0.8048837840307618,0.776809629412724,0.7217418400909534,0.8060742996172751,0.8708393919038834,0.8770790602378966,1.6712570227725694,0.8347636268207327,0.9684872746721437,0.7642087822875281,0.7164403730479625,0.7484643679433992,0.7303085177256038,0.7320675229861056,0.7510652194156611,0.7907495297470019,0.797485705734,0.8137807244787536,0.8896074030934801,0.9904369475462819,0.8378294298277458,0.8551534991415667,0.9889825386081841,0.9379223858588621,0.99311080722558,0.9620543092816679,1.1462317667455493,0.9506753354996499,1.0172792266803106,1.0801657273454988,1.0536950792886781,1.208964750566751,1.2114483032480194,1.176277271939596,1.3265596121302536,1.2133740208673034,1.0822871318147325,1.167796003968996,1.1507040583032648,2.2868487349951807,1.3564894673551766,1.9288696706529551,1.2614853263252535,1.3505154088183917,1.3885581114642584,1.3700114122738347,1.2397371867883031,1.2344880465719095,1.3722119562888935,1.2289619348107825,1.1926967723248139,1.0667107450738882,1.275300357601333,0.9843327868851649,1.0261701961920489,1.1614137784449026,0.9346143606809534,0.9191936997347656,1.168967273212051,1.4398965714945664,1.6453857112097443,1.7529122989913188,1.7294007052541354,1.5728603739446696,1.6112981931229784,1.8473102648291633,1.684424441102163,1.391039109832402,1.7254240077933436,1.7895774935719242,1.3572824516038124,1.5357669093196173,1.8011816002802927,1.5392335442236096,1.3269178342269523,1.440642273751073,1.295317016691527,1.3904669583885538,1.391811525883832,1.3647976451208268,1.2631928700996902,1.112770496753108,1.1640379255639939,1.0861099082488543,1.0441403324591174,0.9681438127141353,1.0228305628503465,1.0952136377838997,1.0390794843655895,0.9715552518568851,1.0616190583872445,1.1825924618220434,1.161209464255763,1.2228870512303576,1.3202430351165992,1.4488961184904718,1.4511402670952702,1.3363112100398433,1.1248684663801292,1.1452094046096077,1.5209554957842646,1.4052406079998436,1.4283363254427117,1.3774955333286332,1.0285587944681318,0.913833832858483,0.7816568259733043,0.7266964475063848,0.8350769701170195,0.9287722811022765,1.0236966181658076,1.7471733505123392,0.8431597720635778,0.956025496450167,1.0958577308378648,0.9932162548248658,0.9520723428772683,1.2797134329691515,1.71423835489711,3.0032900760428345,4.415010834294851,4.403839458272363],[1.1732466330865288,0.7408497876854817,0.7930348003106814,0.49891275110970107,0.5444417349039085,0.42829386685663434,0.3748122003861907,0.5448321975800792,0.43133257772158906,0.38991585823164454,0.4405408739315248,0.5513053719209515,0.4631428105445901,0.3881911030495729,0.5792320591322935,0.5346902058419789,0.47844885578530955,0.5304410146852353,0.5807384782078246,0.5433104561654197,0.5686624779927184,0.578789017209176,0.6059932628219713,0.6670414046903324,0.6140064397734984,0.5725802657195319,0.506106778792408,0.47044649135699296,0.4929827803938184,0.5334207561619752,0.5927962473518203,0.627459575320539,0.7072251953807686,0.6715754358334647,0.6049050940960154,0.5342498267066738,0.5761310976915082,0.5168767994251601,0.4783965497947999,0.516180978645889,0.5456811226264787,0.5519897990972363,0.5241685346338706,0.608950120166721,0.7187402370889965,1.2033738161250733,1.1835915741298215,0.7006938897756454,1.343894884062259,1.549917540929175,0.782116214640163,0.8068020230067374,0.7813336766239061,0.6044390467600246,1.1570930793312786,0.6841523398523904,0.5371125411814435,0.6960863558678165,0.8997084925041375,0.6860744837095825,0.6224099312064075,0.6765538860312306,0.6747379022266512,0.7243571224065737,0.6055000701563807,0.5755995594853262,0.7552385813299556,0.63769752391945,0.782649954669807,0.7522440109040391,0.8903498954975896,1.2141046301758358,1.0742251638092062,0.9348082691872506,0.7073802787388096,1.0306909778292734,0.611806958700328,0.6821870180706838,0.6001595715168346,0.6413016515407814,0.6108821374406239,0.7217559147045807,0.9475232147041974,0.5805512867622104,0.59126316592723,0.5772088033938386,0.5503083040199875,0.6593662880757606,0.5384010483662325,0.6658627534654099,0.6342738568424775,0.8213320936402898,0.7429240627768906,0.7053110385607876,0.6460100603534443,0.7349018251388258,0.719667919859096,0.6704121778117986,0.6874530245325059,0.9573994383981288,0.7375445150254472,0.9119166075485096,0.7176960134400152,0.7788423736087836,0.7691434938720794,0.682751133172649,0.8663604220993341,0.6471228453447629,0.671129850307812,0.7755670760726844,0.5848790272990895,0.4836752078747616,0.4385065267712524,0.467889165330375,0.4129127602250622,0.41238935609701716,0.49711482118656886,0.4326790578215904,0.5598036350028688,0.5574953811886653,0.48710281263355193,0.44730147759970634,0.4255135309328427,0.40925266795178455,0.40607453079569417,0.4767903217518087,0.5016126360687699,0.5056872242520529,0.5112453735882077,0.6254545874286762,0.530422325676241,0.6149498703129627,0.537541605981451,0.68220233575886,0.5769205070056572,0.555751746009369,0.63506702155059,0.5311600393786453,0.6175450299292219,0.49720664102600387,0.6431009597234151,0.5746107492185658,0.5057755722365547,0.45909236004545007,0.43670964112815214,0.44489606468458,0.4158968437634581,0.4689716403765855,0.5017492191385594,0.5504755624234461,0.6757897808063796,0.7622197350126232,1.3396655242235502,1.7598781073779466,1.2000226929598166,0.8833364219757256,0.7092897234006766,0.7406524132216625,0.6269054176170566,0.7161043263558555,0.5472282295495606,0.4831182581179967,0.44978863931154656,0.45491281504200026,0.5626860001993651,0.6006681970541486,0.5574653716960064,0.6520801854416609,0.7636155523510081,0.682483248051252,0.5726332274036474,0.5074556613279348,0.5030156600110013,0.5357258356331511,0.5379604191354472,0.6324973405027481,0.6133558237184903,0.854818744679869,0.5929012605526497,0.6807152769622289,0.7927534775629318,0.6407980881852938,0.6313270308261842,0.617657115739268,0.57813587222238,0.7091324210645178,0.8021744958271362,0.7909673722296876,1.6926077054175532,0.7927282178892666,0.9603916862587376,0.7021290729328943,0.6150592187599765,0.6311474165892189,0.5554766000521452,0.5454252168683847,0.5664297745597404,0.5770742584554135,0.5778815056703631,0.626347604278127,0.6528718627220328,0.7674235963392977,0.626959538886441,0.6247411433513292,0.7696864428089736,0.7445815427194077,0.7920226462554636,0.7424935883662049,0.9718600363342313,0.7490953837620852,0.791042979415753,0.8805395742180877,0.8977642828876894,0.9559607030598782,0.9542329206472792,0.9408720936507201,1.100472787609247,0.996291237635026,0.8449686335026021,0.9366463693567731,0.9022028901964824,2.163205093805627,1.115539945328857,1.6847236950279951,1.0140424705673103,1.1105294833195176,1.1474826058619183,1.0974903405729721,0.9858812665415655,0.958112618398286,1.1008672594910904,0.9520355253744371,0.959130558880968,0.8057428954086729,0.9985395695267486,0.7955602183924104,0.9081829905019173,1.1587804884569661,0.7937924137627526,0.6990336529963406,0.9232080468488483,1.1817413213146577,1.4143134031500457,1.5477796985753192,1.51051166042686,1.352519492748411,1.4025615981025936,1.6427851446755553,1.4895534502753274,1.2070138734945886,1.5677089049932924,1.67297783881983,1.230082011348967,1.3774159196293696,1.6805405908121689,1.4778743580901441,1.1982152146619558,1.3011959313977695,1.1400148719731218,1.210489996163358,1.180076651824594,1.1371318004562516,1.0570358124576438,0.8921854616865605,0.9123759750040792,0.8489466601343829,0.8233340453592352,0.7262313230422737,0.772850143206432,0.9245332893298394,0.8535941743827054,0.7900815907775601,0.8834153831799768,1.0495308356888848,1.0294242754641514,1.0935511087011343,1.2181265605561713,1.357305039909536,1.304293927246689,1.1992439246029878,0.9404359665419763,0.9373542434594286,1.391469032489938,1.2993215567626155,1.3525828578568944,1.3364080378049423,0.9123293861227261,0.7596066375913508,0.5731740361651553,0.5433585344702517,0.6267145248416727,0.7294290397492542,0.8263490103849535,1.6406830779589359,0.6618697341033917,0.7550144356357626,0.9462849010200728,0.8776132953011127,0.766372213936737,1.0695620005793103,1.6199120221877241,2.821990239947921,4.111093699154143,3.724862936679112],[1.1962298808153522,0.6869085190675257,0.6771530170800006,0.417686510937925,0.5353132369364603,0.4025639103473937,0.2947924249174442,0.4018120863913807,0.3029848413111795,0.2956705386235049,0.35806695160202795,0.4433243414426462,0.35088324093976386,0.31648701367006615,0.4983795452695385,0.431541992850203,0.411737076883292,0.4654277894641941,0.5342498155638923,0.4840238388041725,0.51851216399931,0.5281087389846131,0.5553767740721608,0.6523322457521284,0.5793759755176379,0.5369226814764543,0.4422658212417863,0.40331039716763,0.4289891055517932,0.4502602273203375,0.5164442408013519,0.509726455720243,0.6186404079577694,0.573397689875502,0.5131789037558562,0.4450603767227921,0.480048835136642,0.4306556010091206,0.3984018170179345,0.42773877429634793,0.4819340164895137,0.4784271490031086,0.4466015106994297,0.5405877453492661,0.6832870447998564,1.1796412466758879,1.1754897974555394,0.6330130596003388,1.3030141653104848,1.5345275108740795,0.7578914657606227,0.8025217248896004,0.7144071332353995,0.5469746506665316,1.0945344809437965,0.6108762507693505,0.4606566091585489,0.6372883644510663,0.8446858766802487,0.6599118626512457,0.5650107489545706,0.6315601827291925,0.6263013700047292,0.6449164547044369,0.542206561850918,0.5065909490181907,0.7253486667420264,0.585032274018397,0.7427346776792644,0.7120644218055264,0.850922743411349,1.1387201792927968,1.01940340281051,0.8745954189410651,0.6394279971505847,0.9680949487610775,0.5292313447546719,0.5933101194277894,0.5122772310103704,0.5537455686392231,0.5085847283672676,0.6190621121981144,0.9037884783619347,0.5004158628304659,0.5164862683648943,0.47263700495956595,0.45358802795988606,0.5815443757878263,0.4458034916750132,0.5660130539956073,0.5503976429840712,0.7634663309679898,0.6695997095096795,0.6117058596227931,0.5588444437366308,0.6640854260220931,0.6465112375827391,0.5721737450939042,0.5891022219559613,0.8630280584262616,0.6256962349606708,0.8245737623023458,0.6157627696901692,0.6695034232321203,0.6457361989055582,0.5505553019642537,0.7223414478227924,0.523996320336576,0.567550321089155,0.6887279093126208,0.46113043023922373,0.36221586396223,0.31301927112368283,0.36454823746247217,0.3306707411775104,0.3473540250416946,0.43784941344983025,0.3647848285505461,0.5173708889451479,0.5157338668928056,0.44175290864859945,0.39293551249101877,0.37398223912855927,0.35310404829270037,0.34837486511961235,0.4142461541502641,0.4287893432659564,0.4200732726065212,0.3965078585405874,0.48528219845881077,0.4226635840210845,0.49718879198306576,0.42310811433793083,0.5547474891498377,0.4769616831960132,0.46327251511723533,0.5782673286585673,0.4555200274180496,0.5270247058483273,0.4119629817962624,0.5672049039490301,0.49944051926039834,0.44958953563915516,0.3911361280595433,0.35974132481984167,0.3661009825454393,0.32599875961760333,0.37894220976351867,0.39010696004035705,0.4461085712178291,0.5862867240005669,0.7013489223302519,1.284231332594614,1.7954221933576466,1.1982275787950503,0.7918253217540228,0.6004953526205107,0.6394298828676702,0.5085234133538941,0.6176144828543599,0.4318021927164644,0.3885599161066287,0.3527024257985055,0.36803391062862223,0.48630366056239205,0.5441926284966133,0.4783069344277479,0.5925195699317453,0.7080488324365142,0.6378127567396423,0.5037208500082706,0.41880964885988015,0.4140496723096208,0.4336385346223897,0.42071961502510935,0.512997222102251,0.4968769604232192,0.7461384363735795,0.47742678657851095,0.5480865153104817,0.7005670473484302,0.5008557462577631,0.4915160581034687,0.4800927124041105,0.45424022327524627,0.6123575516761777,0.7228202766212675,0.7315599483857873,1.6779035171763765,0.7668383120584636,0.9507411190823634,0.6422711414722336,0.5601264597023647,0.5808315251242374,0.46302096414798344,0.44961734022765326,0.4978554129828616,0.4775014959355895,0.4991836900187181,0.5525452955575776,0.5154529888395435,0.6095130216029951,0.49950569420816476,0.526445701149205,0.6307622808386649,0.6197215603193607,0.7411929017076432,0.6543680540707197,0.8386097525126573,0.6776725272533012,0.7223547908567746,0.7930085746122275,0.8297540472608067,0.9006381975715445,0.8787792753838372,0.8790921418488826,1.0308917435351694,0.9217135643659907,0.7767358984575043,0.8480514599464833,0.7944036277851718,2.0813984893846804,0.9972533779603224,1.6157019749272543,0.8742149745640146,0.9274693014206125,0.9701533911055495,0.9453196162213299,0.8140533722481995,0.819388886653211,0.9719509901999962,0.8427711181392021,0.8791624562735265,0.7127011881356686,0.92997285352646,0.770449663959126,0.8755001738270842,1.1624423919202644,0.7242426853063505,0.5833718842611834,0.8067506269921089,1.0465836608601011,1.2675099670504417,1.3311385547880261,1.3148490177513514,1.1914828680017484,1.2039985936049369,1.445913537107789,1.2914675917952072,1.031437872823486,1.3752240408132403,1.4889875727449584,1.0816848368878234,1.191192710001857,1.4915693292625205,1.337471363977595,1.0575438935349355,1.136609728602925,0.980232741850942,1.0192207591466191,0.9994871252958536,0.9596636189285116,0.8881089542615489,0.7612137335510964,0.7660994602609913,0.7145728504742646,0.7217511050489296,0.6302099453996816,0.6527792994886631,0.8639414920258435,0.8060318781830885,0.7306380667213029,0.79587553746466,0.9946052907793101,0.9820116801601054,1.041056495654682,1.1655628014290973,1.3148831232692648,1.2156445166917982,1.120102918853537,0.8832272990586576,0.8679586426081287,1.2938118597239776,1.2282787838716904,1.3002259056547552,1.337045158205146,0.8700554155776536,0.7388228350153528,0.5036718538353279,0.4783633110514024,0.5315960313161491,0.597839876660083,0.6910226317116204,1.5924303628091767,0.5410816227032603,0.6748928681213253,0.8485901174483041,0.797733487109361,0.7295329928809519,1.0072567958662668,1.7638730556409155,2.9568841631548164,4.030988130626943,3.7632942896485524],[1.118874260001389,0.6228818296968692,0.5967157838931825,0.3745450110609301,0.5098243016786932,0.38266209832706677,0.2843470988957598,0.3633847449401135,0.2839233541606853,0.29224155248046035,0.3403812848978704,0.434922229457301,0.33928447675460055,0.3107867152080582,0.46283918339721675,0.41384998524546884,0.39735051074592453,0.459153994600744,0.5807834942217108,0.4924668159140275,0.5614271474309906,0.5561740303145781,0.6082742283214684,0.7193606713444795,0.601541454884857,0.603426298808265,0.4772026959114178,0.417717030648163,0.40948746274942716,0.4291921137874622,0.49977446265488806,0.4894174939100261,0.6194538507686832,0.5704698881106485,0.4900638457428577,0.42235141754223726,0.4526916105822144,0.4260506211413445,0.3944304029663723,0.4118168307214952,0.49940360266265804,0.4900693364902966,0.45955232256999134,0.5698506646152737,0.7224341728069635,1.2177171467400034,1.2353303246429004,0.6591834600233771,1.302392913863677,1.5117475621545697,0.8067529417427699,0.8425820161959013,0.7238626858998934,0.5732865377336899,1.0838075519554438,0.6262490418001011,0.47744680988748184,0.660546792826219,0.837466272442714,0.6710622751709225,0.5831713025472509,0.6361850727398052,0.6465346367369744,0.7045305314559988,0.5816335463147417,0.5277874576522789,0.7568457522004466,0.5975560263152687,0.7795105818369831,0.714902384405026,0.8813739835792693,1.1764987972053216,1.0060789268904775,0.9011568128181707,0.650483853383785,1.0091151465727097,0.55269315654008,0.6057581866461389,0.5117494966138061,0.5347390054082743,0.4797726191512613,0.5719369966207163,0.9338006700527012,0.4876162679120419,0.5098789473561336,0.42473575157582155,0.43738305999184884,0.5614241949845525,0.4366916304497202,0.559169673946508,0.5575844370150871,0.7704275786740097,0.660319270937221,0.6100126531639607,0.5460928240011502,0.6580304978680084,0.6293028888364238,0.5631432537899572,0.5856117710048404,0.8947313936117095,0.6108170620626205,0.8099095130768087,0.5853704742628205,0.639591693063042,0.6007573280594986,0.5111643286837136,0.6656551995376847,0.4879139881404127,0.533397640172628,0.6557574824934188,0.412075910909337,0.32432444638336844,0.29310297573578625,0.3434952895587117,0.34210872828285743,0.3783241073390862,0.4490940768843373,0.4134622508061463,0.5957707837378717,0.5406632522299897,0.4788993826571215,0.4104497938643296,0.42777055575439593,0.3905194583797914,0.3606097821366214,0.39406535801155956,0.39908136419255336,0.37519845891014597,0.35521642388457636,0.4287806291907112,0.3844156119376605,0.44909524226255415,0.38180416497903275,0.5111780874872276,0.43504705574085145,0.4283563216009961,0.5550350493903153,0.4234200627722903,0.47262955441421195,0.40012717118721053,0.5847438170076684,0.5527347234136795,0.5057231434294321,0.4374749035898862,0.37880858490741953,0.36919553896535445,0.33187001121765075,0.37589459564758493,0.3603042185533533,0.4287935799697855,0.573362391517373,0.7368727217787098,1.2859447674140796,1.9264116160717282,1.3181868049715277,0.8138052145825191,0.5889320451603792,0.6244296149821645,0.49540281267999425,0.5778639906186672,0.4009363381840502,0.3617782256382656,0.34935113803146967,0.35639841011324785,0.44303249278145856,0.4943235395729574,0.44144826464035,0.5613614765866706,0.6635838113647615,0.6173354640900951,0.48216419207052286,0.39850757960726624,0.3827280765493119,0.38656889975520975,0.3828999358808592,0.4746497035958955,0.4772168865765137,0.7056696604820895,0.45628027560669426,0.5109811517247053,0.6672077076994467,0.4498075846049281,0.43565930705961803,0.40015520571169166,0.37981988926230903,0.5918376029367516,0.7300808854009962,0.765033082669152,1.7202489385048019,0.7862148336643064,0.9974254272575647,0.6386748879333105,0.5190845482092934,0.5472581058781552,0.4309624861415275,0.42925728385325057,0.496735074447366,0.43295335881572283,0.46309256055085257,0.5484056360049626,0.45521859558804567,0.5430403562117485,0.4528319984082791,0.47662071019373536,0.5704095564421293,0.5731805226196602,0.7062086211986544,0.6177043681425871,0.7937667198712655,0.6561912588072222,0.6991955969486654,0.7778724407813254,0.8245677996169027,0.8767709490169712,0.860466372303942,0.8423902461275905,1.0036012141420267,0.8723938192137743,0.7406933217313958,0.8193141731317115,0.7494127777537479,2.0296558445084965,0.9414753237725296,1.5716967577901773,0.8189144728571288,0.8526301260473191,0.8862703780617284,0.8607345942197092,0.7282621166794044,0.7266956854699507,0.8865261723700374,0.7717388345756606,0.813536571191199,0.6481039365156721,0.9127649238475528,0.7687508992400675,0.8827669166585795,1.2333506413714599,0.7119923215366788,0.5416001138972755,0.7352892405707059,0.9659346069194934,1.1991434004152055,1.2521486118918739,1.2559697733077206,1.114174897235628,1.1245912970512875,1.3725731851007372,1.2085841419356664,0.9612114151518633,1.3017583527624539,1.412140204813672,1.022224335059593,1.1340180689157227,1.4368161352233535,1.2958476260383276,1.0297697926197573,1.1043380836121133,0.9450100359184446,0.9636790340727809,0.9318394390450694,0.8930296356886764,0.8374754750899385,0.712183660125088,0.7025963764454063,0.6650541729468042,0.6912247012000499,0.5857404527505249,0.6057758973649039,0.8542993366188205,0.7807691575376503,0.7017873321436476,0.779903989971297,0.9854620524230437,0.9742602692803203,1.0252071481432865,1.1861884835798733,1.3298716546331797,1.1616572493024575,1.0723777438276016,0.8378553518894583,0.8023179769093699,1.208846896202193,1.190601398121652,1.2932677322208341,1.3850647860205114,0.8886197746089979,0.7345992659324847,0.4764090129164219,0.4575862964414226,0.46985867996550446,0.5469552085828195,0.6348272619778921,1.572185791831865,0.5021918748969424,0.6492623231487483,0.834871591563948,0.7724710250625008,0.7253449349881136,0.9942156031262053,1.829485615025308,3.034965738527981,4.136496161006703,4.074993906361906],[1.0231595160255489,0.5708390589271345,0.5086161632855015,0.3651063048827787,0.48402328484125096,0.37004533911806653,0.2770875080906328,0.3670472645585967,0.29557887921485587,0.271521880312888,0.3220054380402872,0.4461108775736829,0.3319980933990796,0.30637987459397503,0.43997584994663336,0.40806108742536135,0.3950633008844318,0.45504145534469903,0.6029344612257369,0.5067294207093731,0.5947812894473464,0.5902087932491028,0.6689658368312152,0.7879338998704782,0.6446534721329067,0.6479200255286249,0.4983540188732995,0.42289910326891444,0.399479614236512,0.41460125931090647,0.5042711703105908,0.4880560799301813,0.630838405086069,0.5790102112608727,0.48213433909122283,0.416094416394741,0.43907421356087506,0.42202557413875263,0.4100450386796733,0.41265290808008537,0.5208257244755223,0.513802852557794,0.4973360657734669,0.6177456814097325,0.7797342653404314,1.247655867523544,1.3048556779536662,0.7010927137291398,1.2610173550031518,1.4964737771191685,0.8670452165298154,0.9053232321309249,0.7384685790586695,0.6083791382762161,1.0864346056898797,0.6365486019751728,0.5124153912811434,0.6900728666087337,0.8195088666834591,0.7364785149344368,0.6080603949133642,0.6532667852316384,0.667054382287901,0.7324981936551199,0.6229135333633028,0.5604720737259203,0.7810944665794882,0.5955282558398357,0.7982986956399686,0.7101144369468045,0.8706301676436926,1.1615670206921078,0.9809581276922998,0.922819179596219,0.6658229009375342,1.0557315041150943,0.5699178826163122,0.6021309576238245,0.5147203155484513,0.5321224225849224,0.4534069211120319,0.5465382683455055,0.9190837464704112,0.4611030407709972,0.5512318321353427,0.4115554109313414,0.435603899632821,0.535665808397751,0.4429393917664169,0.5688625023059749,0.5650360419600752,0.8074620857027266,0.6839497912889783,0.6306383027287694,0.5611794334404565,0.6765651472382415,0.6463244310913769,0.574240690560386,0.5831848223511893,0.9013813699108827,0.597157070506078,0.7726003307143434,0.5587554493961502,0.6060751387205318,0.5465077725835589,0.47152890879338444,0.593950725903211,0.49405275891784034,0.5473500809516648,0.6573033878774773,0.38636507235725254,0.3043253511478714,0.28322893907225927,0.32947705745736383,0.3166873584826621,0.3579298811193336,0.43839881308896084,0.41887354085186446,0.6458329592802986,0.5524390047990282,0.49846004014701395,0.4029861878478705,0.4196950759127727,0.36175230146572956,0.3442252566753327,0.3708412325270619,0.38727839592184043,0.36785137089545594,0.35547849086650746,0.3775013841765496,0.3930350468177875,0.43051764242138507,0.3723934885801929,0.4577954650534898,0.4148304382555241,0.42280287528768934,0.5675796919881929,0.40316827234804564,0.39433195194898535,0.3695196707904619,0.5677975290402828,0.6119375629380805,0.5406880564774122,0.4535370676434768,0.3935151108527321,0.36636743450353104,0.3181247829126712,0.3564796361582637,0.34419232076107603,0.42693535744125966,0.5715972166452931,0.775384459333332,1.2490339306305596,1.9564857874240473,1.4264317951928998,0.829262091388992,0.5829477241265293,0.6193251876780459,0.47991767345344427,0.536475415062562,0.3800462342969139,0.34794334459060927,0.3411004475263517,0.3674715940120069,0.4072905953126471,0.5015121613759357,0.4526008345917861,0.5842160519849198,0.6666355682173088,0.6264495443160973,0.4966337157021837,0.389158813147943,0.3731913214352597,0.3502777618074439,0.350259025453925,0.4366176052240203,0.4605782865279045,0.6512845385751147,0.4314731580471644,0.46858901086866395,0.6383336695483948,0.39828262116786095,0.3843383692180883,0.3689855774648992,0.3632338322469442,0.6051833395200038,0.7530397073962,0.810420194777838,1.7834132775644147,0.87213841508296,1.1068312516427103,0.6529151256310326,0.5376666283664984,0.5702381933481873,0.45095430569313055,0.4717628298166447,0.5534509300484776,0.45317115503275396,0.48807829003537045,0.5942918932051402,0.42607726150733594,0.4832735876749814,0.43544932161989136,0.44956984966602503,0.5009586912449435,0.5241505960919055,0.6723231889025367,0.5671984968426518,0.7246220879753899,0.6185848621891621,0.6505254892738577,0.7390014506434963,0.803933071856767,0.8273804700187797,0.824230123824426,0.7852566918149722,0.9833950587505561,0.8286965285856723,0.6885159585882346,0.7596407155275979,0.6816805713004094,1.9141208521641657,0.8679224122225793,1.4950945827491244,0.7298440575841547,0.7266437893547819,0.7676744137377778,0.7351088097114162,0.6009726572204617,0.6110144462728765,0.7816702108805913,0.6948538855623667,0.7392473149429587,0.6114664806663098,0.9357847946387793,0.8408839925784876,0.9471995017746268,1.3735991061908437,0.7468773761651506,0.531790300140644,0.6568511515284852,0.8569795104503279,1.0909705778124958,1.1270501204175112,1.1480479046166967,0.9997731489667181,0.9977567144879156,1.2436387951278445,1.0838259304536668,0.862010966452909,1.1887073638701295,1.3124546654603955,0.9481847688561335,1.034642910696825,1.340321139238228,1.241822230165506,0.9673691828180982,1.0233456018022624,0.8627785097714967,0.8546569180033629,0.8133700678730136,0.7698196993570908,0.7383071888826875,0.6292901387805049,0.6002748520037817,0.5815748669017844,0.6381243491163402,0.5436925569509875,0.5618586077916382,0.8594868116822986,0.7766535712481992,0.7297816125752389,0.7911643890932725,1.005051026026497,0.9915305108814965,1.017366195666386,1.2217950509100337,1.3564144520401364,1.1391848396105646,1.0191952423554385,0.7896666029499798,0.7180645300642489,1.1064035756881025,1.1426186007061028,1.2870291354978654,1.4217395527719954,0.9170840914067914,0.739784403696041,0.4942706297838853,0.4707344307226848,0.4236016554405563,0.49650996453690127,0.5912703611714674,1.5561938069416026,0.4959650442218003,0.6238994850289703,0.8315253673084787,0.8062828092923945,0.695909157536754,0.9396020097701473,1.8323124515869147,2.9905141717065846,3.985215936859409,4.019299592793403],[1.1360867331824462,0.6380000158248049,0.5911363375115499,0.395124842478541,0.44597918001730535,0.42320672740866805,0.3213746264503072,0.42235094665409373,0.32255027916405155,0.29722557295920093,0.34807953913180073,0.5203740685536399,0.3884689911094506,0.3559969279000447,0.5106571117320952,0.49831603920579187,0.45905913325422265,0.5408511015862163,0.6872066415045989,0.5835186374375322,0.692423122116463,0.657002110680785,0.7810259602575766,0.8347170291823895,0.6484752742196284,0.6755895041640652,0.5438338862360907,0.4679845412058895,0.4822282712105087,0.5172680043160804,0.6246892386406965,0.6508022894493438,0.8325798927760882,0.7742307348531583,0.6724946553131221,0.5666330988321344,0.5941702043577444,0.5200878599545782,0.49750299868980774,0.5237187913478036,0.5493053253854056,0.5797564504342406,0.5706205595161236,0.62092609318637,0.7512278657094495,1.1644115098611472,1.178380033901718,0.7007585692245272,1.2837462311013834,1.3862328438126104,0.8634485045211877,0.8398635533091903,0.7859041547510627,0.6212073851611774,1.132005260808005,0.7783244882487195,0.6022570468534485,0.8045836399347438,0.9870300437016729,0.7897928341219062,0.6913656119167033,0.7578867752196744,0.8087734075848192,0.8405075180227773,0.7090428249428277,0.6576025357914439,0.8722563145220474,0.7037285356639625,0.8794653784231754,0.7574206239231566,0.9596499452079877,1.2827565518403068,1.0370291965186682,1.000557684206834,0.7600732460998685,1.1575426403986773,0.6978833263235573,0.7837898163743167,0.6965509594108344,0.7070022478779928,0.6494675438149798,0.6153876025023394,1.1789769303685054,0.6786158079780957,0.5810367332950278,0.5403126491569065,0.5526736011548437,0.6990908424751487,0.5961450944516563,0.738895724150633,0.7324430285172187,0.9287050833781347,0.8241157664379725,0.8062783321478717,0.7046323505393873,0.806721262547504,0.7455768052035586,0.7753151823975788,0.7715630110692137,1.1313742760851913,0.7998065142040298,0.957953218482642,0.746403766854578,0.7505133473434294,0.6823601807712453,0.5548047944104151,0.7256218669519285,0.4535311397709348,0.4974840303790103,0.7314249417117744,0.4253714015877486,0.3759733360407389,0.3467052643049727,0.3750259861037482,0.38094711694096095,0.3716234151846281,0.4365984090986535,0.44338100762944876,0.6727221839091059,0.5745708687874636,0.5256537031085023,0.4380982215512074,0.4387809890248587,0.3726269507270982,0.34834486485506083,0.3426594953579043,0.36005138998412667,0.3767256299122318,0.3606097710304813,0.44358267632166176,0.3556646073758152,0.40643591623149433,0.3741876754727097,0.5545426699253353,0.42422106532546056,0.4128468410459148,0.5274695093989092,0.39122310548757483,0.4327720646379896,0.4013764695485245,0.5797606527789009,0.6351707871793263,0.5599351216308012,0.4583176395054176,0.41878909255432667,0.4337041612139387,0.37736078210702545,0.4485417411551496,0.4519438734411052,0.4846570811184727,0.6842075868795652,0.8906749332730379,1.3906578456279477,2.119627338316726,1.561429571841311,1.0326052869701612,0.7352498311615786,0.7687098158067878,0.6297113341178778,0.6661956677715519,0.4652406344945481,0.4601405810226059,0.3804841409545147,0.4208068997570484,0.4168626655362174,0.5241400186438823,0.42697773736953115,0.527846039726069,0.5797376113661334,0.5622991722294279,0.43721841095224573,0.39327794842938785,0.40426282507077005,0.4702680808488606,0.4950679671582786,0.5971042414731806,0.5931831446862849,0.8172953362884415,0.5729649447994161,0.6160270468085574,0.7561995615121342,0.53410212459097,0.5018731582093428,0.45788542099981544,0.42798348424054733,0.6826407049173786,0.8111975529912588,0.8626391982639813,1.7344669242499675,0.868714377418624,1.0359076609100757,0.6834876648755659,0.5261855379553472,0.5456274358178993,0.4446700417409202,0.4368403635668335,0.4815096348979997,0.3901608895237706,0.43788476599261433,0.5365110447267791,0.4638966886098528,0.5747940321931507,0.4639049584392373,0.47296785925699963,0.5955167804501181,0.5993519977072373,0.7090893187412168,0.6204061134915912,0.8052369544548279,0.6822042926200029,0.7094048091984733,0.80066699104576,0.8497214023590839,0.9202269794598192,0.8735440501323468,0.8284733041235709,1.0298219993862923,0.8430021255333402,0.73819947325867,0.8297352748601639,0.7590668157680103,2.1166709607878937,0.9412316842883539,1.5413037287112445,0.8391003923031871,0.8922647446896361,0.9335345052682391,0.9221517275895356,0.7420042405959522,0.720547408793325,0.8983195530083375,0.7650800936325999,0.7315690634997355,0.5906263118206724,0.898986505336439,0.6964497419539136,0.8559477460862078,1.2345694771382278,0.6620587795872251,0.5543961572096379,0.7839845212973358,1.0023030895849478,1.2694622790704815,1.3056645378511877,1.3392200471340991,1.1626265196359429,1.1467031412060968,1.3937167720323302,1.21394573031436,0.9615805668812315,1.281945520351161,1.3668749903859623,1.0026415488984552,1.125146120854793,1.4193505426911268,1.2703803669267242,1.0307570166577198,1.1040585656924566,0.9503930536765651,0.9715031475306647,0.9494391038956493,0.9286537960705782,0.849095704047391,0.7278105046318333,0.7298869805071424,0.6721342145053998,0.6920551203179109,0.5825437199366899,0.6022087288104494,0.7977382532477606,0.7373783485674762,0.6727769948428639,0.7279439290356188,0.917281321800632,0.9037679205124314,0.94126563705417,1.1345621171515885,1.3005376908380888,1.0898499491025597,0.9789258326899377,0.7891717341329562,0.7347988031050862,1.0678344752567261,1.059474050081291,1.1796128981945124,1.2897948350262538,0.815945861127193,0.6627501460733836,0.44675222945278426,0.41842918925729267,0.4563583405223668,0.5868042714541841,0.6817760780324741,1.5846300263755881,0.5279603503608988,0.6887961846670976,0.8903795435036046,0.7733646593571507,0.8100384396762795,1.0408636871093757,1.994884956287177,3.308562585778007,4.604769382168222,5.025840866977816],[1.0081156996884673,0.5679111513797093,0.5002150009869233,0.37997834334283204,0.4896857571899201,0.39889186840022767,0.2955382583470759,0.35974090487554267,0.2974809404325741,0.27843452578291905,0.31197620995410275,0.47241482291936754,0.34218013500279476,0.3493348468621901,0.4836299179514406,0.4622572386530542,0.44150835254659365,0.5285365773075504,0.7008751924947777,0.5999475351606638,0.7165827242693583,0.6923040028638425,0.8320158027726733,0.9272589885783878,0.7326829803006868,0.7417075962495566,0.5886117920126389,0.49001926824827857,0.46543969044128514,0.46700405881511786,0.5866328825082745,0.5632886982473178,0.757168877336408,0.7215199443572543,0.5919765580932064,0.5093903910063051,0.5026077438883003,0.4895565323770576,0.4760901843457936,0.47980575735581454,0.5922369053406374,0.5907933230693563,0.5921472679573426,0.687875793618597,0.8609903112930544,1.28360170061045,1.381559020507112,0.7679764829285655,1.2305269078135268,1.4440535761109876,0.940716529628198,0.9671156876200221,0.7851064101496448,0.6733190389085065,1.1083250100229922,0.7239051754622118,0.5919245053392266,0.787024455837284,0.8827669476426582,0.835199447780223,0.7139564363259456,0.7430295195022283,0.7936656976693551,0.8684626840097779,0.7474700150579877,0.6784805351737764,0.8930460014775926,0.7023211985326797,0.8870882399433522,0.7676592529135553,0.9220296593416859,1.199351483865296,1.0105869793344617,1.016049913141098,0.7634109401801145,1.1879004123236339,0.702325053521945,0.7486741328544404,0.6494283187020915,0.6399630375150265,0.5534791311684348,0.548987088635465,1.0525636890196575,0.5261630837285203,0.5954442385865079,0.44717179407484453,0.5013737259670641,0.5994246948118308,0.5522952002991451,0.6944634595097308,0.7068561978312882,0.9632493514318619,0.8320220585227756,0.7994456339521743,0.6913810209654065,0.8321368990912821,0.768088424229783,0.7081992693184679,0.6746583271396976,0.9933949299606768,0.6679929570718783,0.7886605298265693,0.595622059143487,0.6149598258900342,0.5341654719816387,0.44891455502845934,0.5629826601713359,0.48493235671140644,0.5321950994127181,0.6615063262217036,0.36540114592476364,0.3221410939898344,0.3180752332647607,0.34412040816710443,0.36546886728324574,0.40445215077165386,0.478764809770733,0.49876731276297526,0.7343898527190211,0.5883952994160744,0.5518199388331102,0.4568575284940136,0.47391362304678103,0.40040420811115357,0.38365059548616315,0.3766935462368371,0.3833580595400957,0.36179537047265764,0.3807054233978695,0.3693299969769278,0.41827890112694505,0.4189108444255123,0.3850140643686446,0.4508943488449156,0.420098576296137,0.4355248837424716,0.5950063046763954,0.4357883432441355,0.4116360433845011,0.433262155540717,0.6197719182153753,0.7418845106651187,0.6209117035479399,0.5388105561127234,0.4503340742798157,0.41398914463104164,0.36695164626283466,0.39198813243371805,0.3670081621010636,0.4360364831539864,0.5885916576358963,0.825333446316143,1.258977592970579,2.022747993677335,1.5208640236491648,0.8927493353409002,0.6170162561495559,0.6422884791716191,0.5099075727704185,0.5224582997035713,0.3797844776003615,0.40267036184719507,0.3834751866732462,0.41088451691366956,0.41567037737561785,0.5550776571048267,0.48776182472403956,0.63959961780984,0.6961906105590838,0.6676177151253029,0.5355811287751127,0.4368772304421722,0.4002501117309121,0.36770719762311915,0.3775264392974464,0.4638521041549311,0.49334181986335035,0.6975239350886883,0.44399587157793613,0.4802328954614542,0.6648737360907442,0.3877721849851449,0.37436078705524284,0.36175856120903077,0.3663761140557234,0.6528069325364291,0.7992419889138659,0.9062103849221862,1.843875897623886,0.9790647894215256,1.1912525908685516,0.7027898098363158,0.5937530107161639,0.6138458399415586,0.4970138893758124,0.5280633345698121,0.6173259689845202,0.5010615778718513,0.5288776833593888,0.6334297223977401,0.4332133687843321,0.47193362664008287,0.4403380437063555,0.45263754945016216,0.477415475904245,0.5076886248259943,0.6640221220983843,0.5535063407027018,0.6956848554079482,0.6116897434613143,0.6460931535876551,0.7318197907141245,0.8023470617848122,0.8225060926242026,0.8315706929086861,0.7786646162874324,0.9757869968294518,0.8197596395134203,0.684676549391026,0.7452162230092791,0.665973040235404,1.8848060306475112,0.8583771571211624,1.4715836352834426,0.7042669961330741,0.685910069427433,0.7306201864397099,0.7118316349578845,0.5625500334838447,0.5654135710854193,0.7339387601092587,0.6774500167471006,0.7108259819305398,0.6114885918639933,0.9701342572385081,0.9125049285970551,0.9902549807923078,1.454758298915865,0.7805415850407119,0.5610665883050067,0.6492105675193035,0.814601795588848,1.0669683781366046,1.0806647930951436,1.1401117180744185,0.9707369364232682,0.9481479799423488,1.2075194507669242,1.038890762334476,0.8089298753584762,1.1368790822285015,1.258002345307811,0.9031746519229227,0.9910922059215843,1.3034471092156938,1.2071605334394302,0.9393688239463067,0.9918027541159904,0.8305862903968791,0.8135859982822365,0.7651441746767912,0.7300180192629802,0.7013229926229776,0.5990573843358687,0.564833201172793,0.5581613266915337,0.6265786853428507,0.5423049595775281,0.5645118061720801,0.8718789260369775,0.7965625105368989,0.7523378462955255,0.8118091958185061,1.025044877159695,1.0187152853602295,1.0354346138553596,1.2835593852886849,1.4013918900591136,1.126309286293687,1.0072136897326027,0.7796237719975497,0.695951102961972,1.0620581318687103,1.1215330525274314,1.2934425279684052,1.4555492202989593,0.9516474183977612,0.7529504403832066,0.515938178718178,0.4829575663806897,0.4149506431810617,0.4686203269539523,0.570708891890649,1.532909826954284,0.49078235907473833,0.6156655851107422,0.819081843431867,0.7720028565934101,0.7098991447321472,0.9439083595556393,1.8700191575252054,3.065934284648369,4.1178828999302475,4.334316430439225],[1.0276295969555784,0.597142786407091,0.5390752883022576,0.4167005862690846,0.5159047556882941,0.43265817978560406,0.35607766488052,0.4234984008891455,0.35826655090572795,0.3322095946890438,0.41156747462708726,0.608275273842196,0.4650145177743145,0.43360884260643734,0.601140211703814,0.605984734503789,0.5436354805602717,0.6363595173835771,0.7954804283715782,0.7050139096400598,0.8292994291830238,0.7938256447161338,0.9652314958059546,1.0096766279122085,0.8067481344702259,0.8139099389522179,0.6726364667190033,0.5646257478413468,0.5816709040701254,0.6089194084217431,0.7641968362027233,0.7507997220210957,0.9594929032520273,0.9354912873009661,0.7819547598923503,0.6856789965601352,0.684972593686226,0.6183583875515368,0.5799095505779688,0.597451322341572,0.6505190658194866,0.6944334969639868,0.717659139805394,0.7658478038999014,0.920763552398183,1.3204137826850895,1.4264803767322576,0.8691862675959917,1.301394680737419,1.4733434687565576,0.9859148848101289,0.9852978565449984,0.8456649478480258,0.7200035268283,1.1357724434008094,0.8466743183338113,0.7302464262820483,0.8922661508641077,1.0205280496091569,0.9227467809608388,0.8336384608326676,0.9070061349760793,0.9695207396942349,1.0404981996446374,0.889151839075426,0.8232867579321969,0.991872263517836,0.8060918075761785,0.9525262259537793,0.841728519240515,0.9703273917344115,1.268008925319935,1.0876513422958682,1.1314794286781023,0.919070383759924,1.3516298567206477,0.8777657428534101,0.9511307683772342,0.8449833179168994,0.8381470686625808,0.7470667954159479,0.6812128796431003,1.1989064828104274,0.6855198630810236,0.6678732723828597,0.6008711052265338,0.6436583350835269,0.7969739596293268,0.7348919144640026,0.8823456455395142,0.9051576902032044,1.1594303973642797,1.0330384815850826,1.0096756157732405,0.8805796176602989,1.0239980442369156,0.9071500339416854,0.930970808840297,0.8804600500733627,1.1954078088549027,0.8731135971411055,0.9511702800670565,0.7762406752633114,0.7346028059079148,0.655307577960239,0.5431290146124048,0.6702067469157424,0.4821455772696309,0.5387912940210359,0.7178536520329735,0.411677514482455,0.3904915794062775,0.37506404355420403,0.4113879469238285,0.4371053583116013,0.4320710577780659,0.5147420856319483,0.5424613864590675,0.8039679745866178,0.6476758919795147,0.5951587757961442,0.5209756665661968,0.5145455700100005,0.4255355467145959,0.39845213201204205,0.3878576178158498,0.396020666053192,0.40306841029782725,0.3955391311861345,0.4383685939676065,0.4372865230854975,0.4395461665715339,0.41709094597651464,0.5306425181002612,0.45992412995946,0.47009910949764094,0.5934274746046287,0.4716485241012164,0.458793461445808,0.4686350890154562,0.6713615316774715,0.8165087922579481,0.672605191915415,0.5721376510307993,0.519556907049317,0.508926036449067,0.4398282727469085,0.4654468491364234,0.4564662938791332,0.4973411088562725,0.6693706077288832,0.9024331152456384,1.3168810473243122,2.080369018858964,1.6195912571804236,1.0313707766516464,0.7582907515244792,0.7644699271170563,0.6544056823178331,0.6267109583394571,0.47864290965966827,0.5039669053047479,0.4443988615177055,0.490719113949936,0.46628822583540186,0.5954640486303133,0.5383138043344295,0.6649156911044514,0.7091037870828863,0.6945125539577688,0.5678681809553414,0.4833199489549988,0.4634481609850961,0.45461914379498775,0.49702831560975763,0.5959966654438265,0.6272063792385748,0.8003825642690449,0.5929839003993748,0.597318545031604,0.7337236164963857,0.496514336544989,0.4688018418407865,0.45982002836410363,0.4497346199069265,0.7503100022513641,0.8859261967624277,0.9740899630729603,1.8494527716576292,0.9977362843203911,1.2155999695917212,0.754003383881296,0.6230480467371542,0.6307330396873121,0.5113075723385134,0.532090064144273,0.6253774360689903,0.5065422162960722,0.5403371398991532,0.6510885635672788,0.47299429170675106,0.5149392436399904,0.4728709040675101,0.48829158207805107,0.5347471243144444,0.5598667627984282,0.6924393277133217,0.5978144045236214,0.7432361799305508,0.661781900636146,0.696408143681808,0.7760160064244513,0.835477828019786,0.8717286948986074,0.8761711561278477,0.8184605642205808,1.0132921628341565,0.8512097655795745,0.7287477796838951,0.7898553064524968,0.7109901980745545,1.9623908111178154,0.8820193649514783,1.478167700034349,0.7384935785126138,0.7458591493700699,0.7955268096606801,0.7776854751405745,0.6138609215763944,0.614826574879918,0.7669679024167989,0.7004943061663281,0.7215179245532876,0.61518954629679,0.9774680662173652,0.9048150766933318,0.9770615676701456,1.4449485954961931,0.7729137055966198,0.5814428213166628,0.6922392305461421,0.8638388697803584,1.1237735036385479,1.153502536167282,1.1984717324601895,1.0264278756991319,1.0176872254736378,1.284321847486121,1.0864544517787182,0.8676582671928035,1.1894419528622875,1.299430777456496,0.9412835933749533,1.0396048916386382,1.3512254683047706,1.2398388981303077,0.9778966330646653,1.0368047553967783,0.8750614809911604,0.8711438334006233,0.8286038655954374,0.7920147516784132,0.7541005322609241,0.6527195977351617,0.6234820052467928,0.607489865105911,0.6693910949071344,0.5785255524218538,0.6006433716847711,0.8718378329982558,0.8026892276909351,0.7559288772864844,0.8196542903544815,1.0222094036789773,1.0214781074406925,1.0483155463923004,1.3103996961054258,1.4391787221634804,1.1618878038343394,1.0326135048750429,0.8087162079754363,0.7333040725010853,1.0792947009474176,1.1249460501468025,1.2948894167765934,1.4470554256003338,0.9475325883530575,0.7483677395775699,0.5222376208632346,0.48684650438645277,0.457287453524868,0.5321463467597385,0.6231019097377035,1.5472699304955562,0.5298543037624148,0.660408988699651,0.8559730566191764,0.79669192426958,0.7680684890686886,0.9835719582257642,1.9272137346525244,3.1612838139315538,4.327375053016109,4.6548123183621355],[1.101104348961365,0.614403863580215,0.5542102913061815,0.40307112759336977,0.5004036094355648,0.42305521881326935,0.3419322839743189,0.44094073539887363,0.36623637401376286,0.35850426215983405,0.4263834417634017,0.6151870322855093,0.47248335367631683,0.43153424038031374,0.6037517352517722,0.6191266366366595,0.5484668065305722,0.6517693840720893,0.8049324139870538,0.7130931468837546,0.8395965174146176,0.8032092451370234,0.9785994145601975,1.0187750392226058,0.8009974941889911,0.8134674454511304,0.6693289346934208,0.5673558828484024,0.5845292989741333,0.6151313070863336,0.7830976963895337,0.7922303902515636,0.9875982409517142,0.9767410532109653,0.8319692081537611,0.7178418428342086,0.7281183343445496,0.6399062844928108,0.6071102113926599,0.6275078983803107,0.6474853607597443,0.6990711387101877,0.7125603550515018,0.761303367112254,0.9135780930692672,1.3045479199383703,1.3867970349324539,0.8584657723582766,1.309274573538139,1.4660441653099043,1.0050985566571786,0.9492850288758612,0.8681451716457537,0.731578403852484,1.208887026404693,0.901336201651974,0.7401576803659973,0.944917420571929,1.0830173541035757,0.9098400188507,0.8428701838831734,0.9135285818157761,0.993761710430435,1.0675367902070192,0.9037037008827017,0.8318458520855311,1.0167160175553003,0.8292259367824484,0.9821546464117983,0.8409785262423538,1.004007081616366,1.3053504179683868,1.0971134029439253,1.1515993258166244,0.9319926007487254,1.3780894637653218,0.9079587096460787,0.9947603223635343,0.8950366562077522,0.8731079573976744,0.8087483505807694,0.7267290793076467,1.2912946063472042,0.7449889320045533,0.677612606882315,0.6356833049721619,0.677277544714403,0.8270001368094965,0.7663105058815235,0.9252041003253494,0.9305931693736829,1.1634684011406227,1.046455554512044,1.0311674240189415,0.8843181800280627,1.0037009311682972,0.8619137609771389,0.928271849807455,0.8905215482601183,1.23770388980673,0.9149800126369935,1.0010278018119887,0.8283115408152473,0.8130783709998418,0.7349955549244331,0.5870868331503251,0.7225987004003035,0.5003881252031911,0.5406040026369394,0.7463839675238588,0.43750947456452843,0.4126313250821982,0.3893489083394831,0.4114110636743263,0.4389281830253781,0.43728597993140617,0.5211893378467078,0.5267441820122634,0.7789369081340289,0.6517389150412695,0.5937562636928878,0.5085080991201125,0.4996417572723477,0.42730006544627364,0.3948166689898856,0.38942944719798717,0.4047292388020662,0.40163213226227423,0.40110778632321137,0.4875714938203244,0.43472375696930704,0.46975734409043773,0.419830590450711,0.5826512486323229,0.4648394876455308,0.4599908928998774,0.5812139593024981,0.43898792247025037,0.4362516207802925,0.4488796729117496,0.6422949994470382,0.7933053918858604,0.661782504517568,0.5635134679979387,0.5131939750682264,0.5134243482510518,0.4536230362231202,0.5035375186286338,0.4906292950509208,0.5253906798093526,0.6954999105723382,0.9075440316672323,1.4018835804362932,2.139574115895637,1.602669058691681,1.0959034673587777,0.7951960263650938,0.8208886898282884,0.7021611573619477,0.6878151696576987,0.503059396743592,0.5335519705105408,0.44655298743268723,0.49939026206760107,0.47020084343862356,0.5786218499144492,0.49250156659072253,0.6121282137726628,0.6596764304590945,0.6413667708060111,0.5132431123884962,0.44703649751264873,0.4630150639547733,0.49180452224570914,0.5355010036279774,0.6449833073394974,0.6661756659983034,0.8820069896240089,0.6292638787020937,0.6675096254644703,0.7731975706529592,0.5452845341970602,0.5119507463340756,0.48016059689748825,0.45538128054415905,0.7645528706262271,0.8970544553904493,0.9758845399518732,1.8264834983745297,0.9618137412759227,1.1468193784198446,0.7312719097807282,0.5803341920210466,0.5946264321506362,0.486034356689894,0.5056189287236714,0.5848875254060834,0.47781368767038673,0.5101622296512438,0.5913667338336461,0.4744325036345098,0.5685398244151021,0.4726308266060877,0.4773565279093981,0.5800231639295595,0.5981793205518429,0.6959142476206043,0.6094095841351547,0.8044083466249393,0.6644529228831331,0.6926935857561576,0.790276430130378,0.8501686514289182,0.8622857651883754,0.8663132541842316,0.8206285673901774,1.0216531581191761,0.869898049625766,0.7285547762404649,0.8136060347848711,0.7488938207456104,2.041213641004117,0.9511551374658749,1.536582646263127,0.8029079053579535,0.8551680861054869,0.9031544274195343,0.8844163034751414,0.700738493006452,0.6709650067091542,0.844299095808758,0.7221583259682495,0.7311932328600584,0.6100237229277299,0.9528923544854988,0.8304569225976743,0.9424111296017089,1.3898491157409196,0.7570523199527037,0.5667604104551921,0.7410062814532903,0.9632526956897585,1.2525131717301878,1.3055075622897423,1.342016590807858,1.1467458475655141,1.1648381044326903,1.4367155316604145,1.237856332469352,0.9815968044797572,1.341177559570764,1.4380494521253806,1.0410383597151074,1.1710109125883315,1.4901357747933597,1.3259498438200987,1.0568304463979448,1.14657332368484,0.9624460642117092,0.9868427151336517,0.9430788616840057,0.9019989832265555,0.8344175303351282,0.7008123247951266,0.681692273052907,0.640222187758364,0.6731828759618276,0.5721511272585498,0.586490085505013,0.8536838459571587,0.7907911916130852,0.7385042170236965,0.7915495487592465,1.0216356599946284,1.010160563846856,1.0550430457306146,1.2955033253312016,1.430818271718307,1.1964947633557739,1.0780511603601917,0.8208449620749931,0.7518466450498577,1.1551416994494574,1.1816770280737061,1.341261708350179,1.4482984293746721,0.9196639323484949,0.7312744648996865,0.5004849540526848,0.49425161710983295,0.4636540436115489,0.583374148710907,0.683154657149898,1.599537493250802,0.5517133744395253,0.7009996284832516,0.9130236907564899,0.7875571527514074,0.773743197941987,1.0412150818659183,1.9216289012168546,3.167995991450783,4.428826599890355,4.657356908783764],[1.0612622338193833,0.6082127863761599,0.5336185010024898,0.3830913706579617,0.5185961969011654,0.39670842259271005,0.2850725455433818,0.35331583110665926,0.2764366825302815,0.257519172774422,0.30285806852389296,0.47211040027704476,0.33061305400942453,0.3287624037249448,0.47023729030179584,0.45406235473877576,0.4342883118139918,0.5350435878294696,0.7186182697521772,0.6049461460485007,0.744233931852488,0.7078125504406471,0.8708257183380846,0.941911698610702,0.7311128979966457,0.7467363824794622,0.5805286228012474,0.47907914328227963,0.45747163462527973,0.46227678928064536,0.6135931151587195,0.5940870880246218,0.800102109113237,0.7769566681784672,0.6348872280653599,0.5317510415098763,0.5286102628103364,0.48488643859123387,0.46735368829971474,0.4766082099308987,0.5687358287120776,0.5908282747435991,0.595759748817556,0.6798723492376749,0.8640519712193656,1.2841896584259407,1.3878863871546865,0.7739595744932389,1.2409483675148214,1.442189688448853,0.9136142805895772,0.9342483068903656,0.7713661598327601,0.6411685316033472,1.0950631821666736,0.7431884497848026,0.6080332933672422,0.7883022905811554,0.9291764414229294,0.8442565682866671,0.7268095991851624,0.7770451087042,0.8314351524070819,0.9191402204037888,0.7820643717400356,0.7011302143449076,0.9200994143195305,0.7240780946420021,0.9098131735466528,0.7775339669073408,0.9464670425149746,1.254941739745875,1.0356896696595197,1.068859048445766,0.8014924818320229,1.2320872940384733,0.7418422712577285,0.8100356341825093,0.7013127867932609,0.6853744473138375,0.5876413360067787,0.5502375285550722,1.089191121362188,0.5543212698255412,0.5616853823972353,0.4583080596416093,0.4998189264414502,0.6398570905195883,0.579129440613198,0.7392580822209694,0.7570183937911568,1.005408946680443,0.8789094811085117,0.8455051208831484,0.7110925861636805,0.8492360301594282,0.7455013547967347,0.7417564364982402,0.705880681359702,1.059815576941296,0.7196560631095914,0.8557917747599567,0.6371272749506803,0.6479246124160662,0.5688248290126748,0.4565080903221076,0.6016597388394019,0.4667092784127745,0.5304239673365067,0.6689949597342384,0.37574808410954,0.2960170958603507,0.2953854303202817,0.3339109119105104,0.34809658840786817,0.38986676611654675,0.4599586891706322,0.4819301652454382,0.736971654582652,0.5922198536774625,0.5503099731399217,0.44411124320131085,0.46490210225534906,0.3855223683343579,0.36685142727013653,0.3778276338371039,0.3847095899817341,0.3579269573420015,0.35989994454937885,0.38246488701043874,0.40618098393728547,0.42290924697458576,0.37571391020950506,0.46941511216627213,0.4222991321511783,0.43116204252221774,0.5913817200127048,0.4327469654974485,0.39053816532283,0.40097814099302687,0.6002473469976423,0.7386463602131439,0.6214269015814234,0.517509954832511,0.4348343360909974,0.41144378495662115,0.35219975250483054,0.38103550155058796,0.35208757367058374,0.41336408025849847,0.5806797677339004,0.7986543595663455,1.3092261082307046,2.0537933097421726,1.480658473687998,0.9266567078255208,0.638436434370799,0.6651044916365932,0.5193255428488418,0.5468770363209203,0.3708018309821521,0.3883154019227165,0.365585077865755,0.393422911687977,0.4053087167493975,0.540339755131532,0.4840208835121629,0.6363252067083267,0.704005463186419,0.6757009523552917,0.5255960534261868,0.42024398141828984,0.38510043461898247,0.36307994925210185,0.37790498182852317,0.47324095640788566,0.4940489047194568,0.7109108619095328,0.45902860094515274,0.4966508633796634,0.6667926957776295,0.39799385042239027,0.36823532893466476,0.347123907079081,0.3548114193486237,0.6382828152662879,0.7912825660307714,0.8777755464254314,1.8266187708006225,0.9436247929525571,1.1575105216772401,0.7021714763733778,0.5891852484676995,0.6080435047720284,0.4768947822825324,0.5022019066643183,0.5866119152268746,0.4711742192330124,0.5114634848914568,0.6048865458111807,0.44244423021496354,0.5082736802798395,0.4484634405915773,0.4702930068628884,0.5305308400401295,0.549795863140634,0.6855032534660757,0.5914549072499892,0.7672109660690474,0.6342211546083103,0.6739989161203375,0.7691374254258503,0.8244136898058317,0.8368551518315664,0.854155649999136,0.8125884879091885,1.0120388396468123,0.8900899932544862,0.7247285792058454,0.8010315873393338,0.7352683259519172,1.94469463369811,0.9422020936670485,1.5514774191732446,0.777555587903007,0.7891952487248606,0.8170382290912848,0.7770529482897557,0.6552176715930632,0.6348092762683579,0.785426421295602,0.6988838193233403,0.7542317030815952,0.6218979620630707,0.9415157284515608,0.8970818390146401,1.002064415330467,1.4297942789774931,0.7867981624208844,0.5391075666293809,0.6661397822770357,0.8837803849897418,1.1535676317006625,1.2156865043225626,1.2352448007609902,1.062051763684828,1.0852862848309248,1.3523672213121876,1.1693631005607852,0.9217953624377722,1.2870585553840328,1.4012963922915618,1.0037795598354107,1.1266909155596283,1.452415920314782,1.3032567173470313,1.0269528338891598,1.1068207154195955,0.9317782092025082,0.9365071010353689,0.8867086061453824,0.8433346643036701,0.8003996107587309,0.6687638810111713,0.6391620432156699,0.6245201910423003,0.6719661577800579,0.5684270675125103,0.5880664659319398,0.9074097930615191,0.8257345459338827,0.7735038198369378,0.8345798063377299,1.084087152920816,1.0674723209580095,1.1049056119373784,1.337551035169,1.450849283079919,1.2371171671376366,1.1163008755767112,0.8462201254850867,0.7643630816928375,1.198813131359912,1.2394841719213288,1.4028230994273214,1.517381661266325,0.978216215643644,0.7790385783067433,0.511915423337284,0.4919076650107927,0.44419978613433964,0.5115130106363331,0.621362444674825,1.582081337377849,0.5057160250958503,0.6439623774437415,0.854233525793998,0.7787695607628005,0.6939350687396673,0.9798455743179247,1.8187446576444217,3.008094938449695,4.1629235209349424,4.195569791799695],[1.1264174395895281,0.6673020714381144,0.613906625867919,0.4053977122698291,0.5347940673312329,0.3957391397238394,0.302320152618107,0.4075097968426325,0.3055759767484979,0.2612168573293671,0.3125690068512817,0.47586200206827606,0.3410109338690323,0.2917892369497593,0.46408645203015925,0.4392263800783212,0.39927591003901075,0.47740148270739996,0.6346189010815518,0.5272504025829122,0.6304502921905389,0.6079392036381961,0.719338356909356,0.8086087880783159,0.6428888342722283,0.6574848912688037,0.50373131511817,0.4249542659437542,0.4183350610992254,0.452255913723529,0.566678236375975,0.5666545903734691,0.7587980898044825,0.7116965481228548,0.5909595741305574,0.48776895095716694,0.5083621447859396,0.4546953667756115,0.4223471570309857,0.436516126636931,0.5137261019991539,0.5219408753546286,0.5083339038818657,0.6002677010485047,0.752038598445927,1.2116278647925942,1.263156253053765,0.6885394054619801,1.2704069471599786,1.4745810271544213,0.8584147767138274,0.8658945292026917,0.7260943522283847,0.5762165486234267,1.08025329489901,0.6703346750472807,0.5259618960657478,0.7159941330439686,0.8828863472241033,0.7361756056247771,0.6225450933571159,0.6931752341782251,0.7398142027517568,0.8151753967581312,0.6710402513237215,0.6067669530622776,0.8320780589932693,0.6449248724722838,0.8426249635092444,0.7301174901094885,0.9084343553942666,1.2361489604504705,1.0235709346215376,0.9886955093216936,0.7300158888362032,1.1510150966371926,0.6508676949321093,0.7294875571304481,0.6233206799802833,0.6264275681770084,0.5550386894752211,0.5687130549016666,1.0322297230632373,0.5272759454111254,0.5538514628776122,0.4597645349026794,0.48333252956021056,0.6182641987771169,0.5195652424016624,0.6681086626335488,0.6692702615332757,0.9057688677293966,0.7904097181833069,0.7651844717191215,0.6549849582933094,0.7791331421177085,0.6973687163480934,0.6916520556033829,0.6802408563008262,1.042649634092921,0.7144075145658058,0.8938944856200641,0.6506454679828434,0.6913106491534926,0.6262008359597557,0.516249627327149,0.682202205481681,0.5060016792511846,0.5669010994937232,0.6865713274158707,0.4337685020207711,0.32854168643342896,0.3055787357134872,0.3385315797598338,0.32843771468348176,0.34922193919984185,0.42539976397315177,0.41680515311304694,0.6580491466917119,0.5516125257881712,0.4998078239201386,0.40423000892809907,0.4078427586252854,0.355676172129963,0.3539706579613593,0.3872836680859415,0.4146899179910815,0.3936102025812598,0.3712426054131286,0.4317412228353761,0.40541124875039614,0.4500741590849035,0.3866359394728445,0.5090875525468472,0.4187904633224369,0.41846582639949725,0.5782096477592872,0.4049745510232599,0.39144488885705153,0.3642611572149449,0.5547059279231621,0.6168677853760397,0.5388804936133306,0.4476797164329981,0.3794151495807102,0.37024856200089074,0.3193089976218433,0.3801477816116905,0.38438860262114827,0.4433665604367232,0.6203315957724278,0.8128523969761492,1.358723936911394,2.0360068444826487,1.4417026405626983,0.9412764903672184,0.6634766977123802,0.7034080590695232,0.5441572638907937,0.6023978239303519,0.4047622743842997,0.37465919431021855,0.3475689507900723,0.3748059453556684,0.4096316213300565,0.49486894773019424,0.44748362738013914,0.5705740616595758,0.6609449787272137,0.620228599823692,0.4875426301646894,0.38365351686025767,0.3782213860540961,0.3819387230719065,0.3956016150886996,0.5072574273680562,0.5180795543873252,0.7470546279994239,0.48546459396495073,0.5298799705352498,0.673710657677297,0.455633030542957,0.4266031418670917,0.39584672887600536,0.37993232140548083,0.6202089820757581,0.757418303863924,0.803577232128619,1.7685981894810703,0.868436151528884,1.073582529043407,0.6560345843265073,0.5356186255863765,0.5711566478841096,0.4589307232844207,0.47321045691222996,0.5452888097946192,0.46640974776501076,0.503077275574429,0.5792891750947583,0.48893718447744255,0.5785493203045778,0.492207989494305,0.5110468242392939,0.6053812330358225,0.6096671534808291,0.7233940418019384,0.6411430078841942,0.8292094271448035,0.6758686408059655,0.7111943145996373,0.8023346835039988,0.8458808324759683,0.8682804551630258,0.8775282158516002,0.8539592906145739,1.0420624926250435,0.9235746176279012,0.7674768304572632,0.849335338728954,0.7886433774005512,2.0159889091747476,0.9940426791584768,1.5993460280486589,0.8527789002039792,0.8978568758476746,0.9298824248578622,0.8870026770156311,0.7605215131221682,0.7402589137816112,0.8894380522858355,0.7739928974089237,0.7981418367658223,0.664496334909051,0.9415212653657266,0.8358539181747104,0.9570391348399372,1.3290631906469512,0.7614615921586508,0.5433778825402232,0.7432337317401804,0.9871793491296467,1.243429793759623,1.3143564656636058,1.322196010244681,1.1565723284549407,1.1814764792301375,1.4419972727629962,1.2687939750031982,1.0114159854337723,1.367681870873488,1.4728175851921776,1.0688774472704659,1.1983967850555501,1.5092132106055787,1.3394921744813322,1.0703679840511007,1.1576751177889626,0.9896476051953543,1.0176774145410026,0.9767192329808912,0.9362991171989842,0.880924062259631,0.7371313962125832,0.7206023989241304,0.6927080104241026,0.7182544593213629,0.6149981008097634,0.6309647229993758,0.9028369476064291,0.8254602201246619,0.7626892400741534,0.8282247148678556,1.0640876494755283,1.0451544911671447,1.0956160757208708,1.2945216599796854,1.4282120122782385,1.2619490087747036,1.1417227479073737,0.8743187083112306,0.8178956823482324,1.2544127417251487,1.2631135547009003,1.3959625599885905,1.475081180797734,0.9550377116785609,0.775222914948343,0.513678395148683,0.48937483084346406,0.4957343537407417,0.5898591742421789,0.7000136773903404,1.6261143117345234,0.558188936341892,0.6973020221461379,0.9010605828700285,0.8175729464019686,0.735005881911307,1.024920899090048,1.8142288306615042,3.0226981987709705,4.211099591616321,4.187825048282363],[0.9683323513408124,0.580664028392029,0.501046013888825,0.4275067964677514,0.5862831026643939,0.4255576297636228,0.3226482291146114,0.37386744113346376,0.34340485174827223,0.3196347122659612,0.3411823804024777,0.4498834661528605,0.3440201668586698,0.3558202719845248,0.45862113469311283,0.43124364117051467,0.4315977446295198,0.5068639002599743,0.6833401499922369,0.5750410492853435,0.6809673398887497,0.6663545186442627,0.7861562693806908,0.9137236821483636,0.7540742820136906,0.7527657194169198,0.5898881422705136,0.49456817611052617,0.4473531411417053,0.42937383242242283,0.549527622224579,0.5163475902419269,0.6736948821084476,0.6414168473629354,0.5257652834077189,0.4472672726465324,0.45315889353160776,0.4619958521194924,0.465010316647615,0.4602168183531218,0.5949906302344516,0.5739421342719989,0.5684557394475968,0.7056616076866176,0.8898119433196591,1.3373444297042327,1.4456955102315376,0.7897606585055288,1.2434297648743644,1.5142643177842567,0.9500592799421594,1.0128740745647886,0.8038786996048048,0.7069383803832199,1.1190974351593643,0.6884468756771693,0.5817760194176212,0.7353842971174689,0.8333513578825271,0.8167353653981123,0.6765832600149783,0.6922982629052565,0.7255263651284357,0.8201236913241642,0.7004032540589374,0.617338687477609,0.8527253823101488,0.651756526553722,0.8526493843766769,0.7519063458528377,0.875406691193594,1.150767958780986,0.9916651092686779,0.9801308106448879,0.716184825948436,1.1407271655856497,0.6281097330168365,0.6732981021033072,0.5685295367961041,0.5766787130468184,0.4878338334035558,0.5576150670356009,0.9169969515367631,0.46327711570282143,0.5921061771181411,0.4196764314836301,0.46814039354932896,0.541478953699673,0.4853404701093461,0.6131481988305986,0.6278695938636984,0.8890554464271861,0.7560546965643022,0.7167603638593429,0.6220496292583677,0.757038606878185,0.693880217488078,0.6191113581051313,0.6075640634174234,0.9239904885317083,0.6088754757490018,0.7551809865159094,0.5542134638503848,0.5681033948844246,0.5122458920116506,0.4592916665274628,0.5747371374365845,0.5649656643977369,0.6213886661610892,0.6804623538870546,0.43604564546034474,0.3453684708941692,0.33800969555974336,0.380946141294925,0.36214906957617193,0.4329177844168916,0.5034085579662705,0.515634249419452,0.72174338055339,0.6003508203456585,0.5603978259450605,0.4679739980877951,0.49290083103059773,0.4285630840784101,0.4239583987939847,0.4565778021963178,0.4578431203235237,0.4255015349084194,0.4353753902065383,0.4182370171038846,0.5074878171424337,0.5234222546988602,0.49174167408361885,0.48692353609161476,0.5117531422947755,0.5195721543973014,0.6770687764263217,0.5088258848977331,0.4270809298158309,0.4610322767119794,0.6318285766270199,0.7235382454914363,0.6330518073444344,0.5636149701233608,0.4824233521202462,0.42369464473111434,0.38465986412091313,0.38960449288222726,0.34131710109282454,0.4211842713911981,0.546309742446828,0.7455595004000843,1.2517458424796282,1.9445566470012998,1.403824454531089,0.8190270926170469,0.5736684563047625,0.5916886908379915,0.47232614114553145,0.5023762738926274,0.3888617764043609,0.37869807211263573,0.420462253636673,0.42644229181162063,0.46473192963396637,0.5953507326087161,0.5732379848526992,0.7385555334958014,0.8129806174835305,0.7702401469558477,0.6206251526599088,0.4991185854264871,0.4555678564051334,0.3718804278813297,0.36087879470454276,0.4182816280365472,0.45081669801969415,0.6470555599242312,0.4263888351348292,0.45585276492220644,0.6343234096352927,0.38708073911868374,0.38533196376247086,0.41148682587380275,0.41935647864709247,0.6511678782573542,0.8079925042249737,0.8924367997358346,1.8830106153573463,0.9830050321214916,1.2318124726610031,0.7163030886409888,0.6887497447696986,0.7157248935296521,0.5883703541074227,0.6188473265675685,0.6820621593707177,0.5644185553030768,0.596728193449278,0.692408864161959,0.47137730127923555,0.4790996826310424,0.4829767458387944,0.5052113114909003,0.498223236500542,0.5204756984221779,0.6886403189225312,0.5801591031102565,0.7284152732548488,0.6179299108587474,0.6589438211067721,0.7639566194638635,0.8300094806453435,0.8239952994401663,0.8605586263897186,0.8370481164518105,1.0213536283910725,0.9330548657973224,0.730170820033509,0.7906922321853778,0.7396470554771385,1.8736526304441947,0.9168449373666521,1.4931825667745626,0.733439950858595,0.7283393073885731,0.7426530914576568,0.6890226476051784,0.6142902138695681,0.6045514924369505,0.7225943048251031,0.6802273085334843,0.7892308343398319,0.6735576395389796,0.9896761478987542,1.0250084358440834,1.1086242228082408,1.5386487590088735,0.8836314536222419,0.586842596282573,0.6208140705374232,0.7965844897643085,1.0421882358850887,1.1094927200268956,1.1250459037220437,0.9663976826036224,0.9957974751326228,1.2515524712716077,1.082043075502881,0.8652690890797234,1.2382017620357701,1.3773244918828718,0.978734961940472,1.0779668311629975,1.4213498423288045,1.3210516765275628,1.0085228030633804,1.0759947369720744,0.8983588752289671,0.8766196396408533,0.8124408006135726,0.7546732779492908,0.7501771404757563,0.6311031349936249,0.5899532774340132,0.6148104571266834,0.679667476151347,0.5994176773356797,0.6271871230902161,0.9720765902533396,0.8828042148545144,0.8692681430915896,0.9242329544825405,1.1785723201946277,1.1637183405910738,1.1853833577473478,1.4244404208617207,1.504700172482645,1.2919338696891842,1.1749120316533292,0.8891798366872263,0.7784622137141228,1.248325953497032,1.3167644763273945,1.4891624556521175,1.6105727088855513,1.064877253084205,0.8580195261980033,0.6003716438849557,0.5706401100506912,0.48642994629855707,0.49239482295265063,0.5916498783631117,1.5292145043045189,0.5216121117462941,0.6224880430290829,0.8341201520410257,0.8233360453886956,0.6610901469556972,0.9031366559927632,1.7051129561202467,2.8123362969605,3.8195854377545473,3.6103386270216116],[1.027512969405205,0.6438459816385809,0.6243520555510418,0.40115571662303556,0.5731370857884358,0.4297184626296067,0.31375084097996864,0.4277036429121931,0.3242412381344846,0.29658360810253365,0.35114755600074843,0.4701750003824393,0.35716453373604284,0.32129809671610615,0.47013695894030527,0.43005379315787784,0.4141761763994753,0.48399592930568475,0.6258896720031019,0.5261229782142993,0.6003311564303919,0.5934504628270336,0.6726974005036547,0.7965955324541426,0.6740584440489696,0.6716477500638143,0.514724387289937,0.44294898631375434,0.4182270258204805,0.438211744036168,0.53174167743097,0.5034500891049914,0.650449569293274,0.6129813402757283,0.5106985988368795,0.4444589180634155,0.4558022803299962,0.4454799821723791,0.41991775251008084,0.4254529783215247,0.5462370588068607,0.5218945893947284,0.49699076992317337,0.6271555619010407,0.7922193749054228,1.2707571844259298,1.3259394792451642,0.7069974845134614,1.2662135497275757,1.533266879545157,0.8483194877449348,0.9089684575371187,0.7531478154319089,0.6247393666580523,1.1109189316929184,0.6324560587124661,0.5086728548978912,0.6798424412879144,0.8315491025941752,0.7236079550817244,0.5979736293059188,0.6528689811719982,0.6627441309051871,0.7565909978942305,0.6235811686604161,0.5651808953615904,0.8065913742353501,0.6223897102748223,0.8164083492726004,0.743898131237158,0.8801129171159334,1.17013622311283,1.0222105915116588,0.9468077685778267,0.6904020530386507,1.082010201733322,0.5853334780360062,0.6465931822908535,0.5419802676536306,0.562848995731071,0.4907350022660633,0.5832735051313166,0.9198341453453006,0.48434654858173404,0.5542565900270554,0.44000518359770474,0.4606976271492586,0.5640483951241276,0.46471658512757313,0.5952819502746982,0.5899063370141019,0.8295845421354322,0.7139964837294455,0.6657250434285172,0.5882946874964259,0.7112236856291,0.6598864231228282,0.6009396749702589,0.610577543118801,0.9274343396106302,0.6344293131506756,0.8374285392019124,0.6016743139660351,0.6681428254567714,0.6267142484305266,0.5665647493395906,0.7131917959004311,0.5745829018625138,0.6266204566270949,0.6940129439523669,0.4945554871118981,0.3655481559552503,0.33226086472501287,0.36893168480593946,0.3412141859672267,0.38817502818441263,0.4695483239516852,0.43869278896766023,0.6516082312299073,0.566772758080982,0.521341871500641,0.4306511705979206,0.43671933353869063,0.38441027114206133,0.38156532530134146,0.43119736603228714,0.4544090778103829,0.4261165610723483,0.4171343579501334,0.45628056667172096,0.4576184574615342,0.5229623407176719,0.4431327924370404,0.5240493587352638,0.47301305110292674,0.4674959817876153,0.5865874297629119,0.44447828531797406,0.41545081153149627,0.390766167902355,0.5773083298825055,0.6120021501684386,0.546350582955083,0.45020643086257317,0.41208911537914955,0.38030568922734037,0.33717718868486884,0.39171389053547845,0.37859978490744745,0.44878053884219693,0.5906642209755472,0.74929411101478,1.3328636090891386,1.8633467782928441,1.2793096123214711,0.8524353831966126,0.6190616942942986,0.6468416711092354,0.5136146303224114,0.5862616350370194,0.4073901238066351,0.3635656140209118,0.36207207182141177,0.3740678941360473,0.43914287589707346,0.5333697894247592,0.49068337137820917,0.631979021468774,0.7311554253062699,0.6726612002757595,0.5258684593379593,0.42200599387803167,0.3975265346569117,0.3624662197228341,0.3793529020636198,0.47564306956697067,0.4874830484478232,0.7303193568313661,0.459835230218515,0.5234877007256235,0.6368837273110092,0.45046622486505944,0.4245183213886421,0.4178057059789199,0.40479961694494454,0.5946603640139743,0.7377826492208319,0.8029616332365977,1.7807164699816667,0.8604120683937972,1.1025581468330663,0.6673087997307852,0.5949485487953977,0.6283897579085508,0.4949136823054722,0.5286512161480732,0.5759557142184846,0.5176802879722429,0.5468960004173727,0.628081401363696,0.5284995074749411,0.6174638691607188,0.5248341300544657,0.5528950959960023,0.6407396162445183,0.649484062727844,0.7407960621671806,0.6775156612233919,0.8923302997162275,0.7162331145599969,0.7622993159169591,0.8729303141672567,0.9185189631099183,0.9070050892953542,0.9324277822319317,0.9128534281918292,1.0912277282298466,0.9977575277692208,0.8166536570408742,0.9065372538634497,0.8783234864281587,2.0018029406804168,1.076848454799456,1.6199334433556996,0.8902601927501991,0.9273031730092458,0.9436710066641064,0.8890470215762853,0.8029095818574048,0.7877983110989372,0.9143452621013458,0.7934243544119637,0.8504805933042971,0.7120480875407156,0.9509403244299417,0.9045171132639532,1.010723606161001,1.3421529362233804,0.8240401238111533,0.5820046266535862,0.7312802684785492,0.9933570544104879,1.2265608563051678,1.3307712256012747,1.2955099210861976,1.1566612717577776,1.221011704143888,1.4880706857539625,1.2954139633324842,1.0729960899427595,1.4591100292652832,1.587042424058293,1.1672813793037269,1.292188848694818,1.6288319227784955,1.485312804808362,1.1670106972678487,1.2649612151605916,1.0799045438622492,1.095150900117656,1.0431626101229492,0.9847602388019823,0.9414306484105731,0.7928018996137066,0.774396967299025,0.7543718017771099,0.7704958033532716,0.6554372307104549,0.6830683913358255,0.9754442955472581,0.882711082493045,0.8305172908850136,0.9024600917848321,1.1485295693673485,1.1208236301789574,1.1798597867978553,1.3688195745414053,1.5102637195870685,1.3632427258173843,1.2493789177286891,0.9516003983747862,0.8815960447620382,1.3798312431245947,1.3810287997906017,1.5004937248604944,1.5459357785504035,1.0095557765273264,0.8181887929945558,0.5595897101261009,0.5216617010245742,0.5412171889853153,0.6092254156644044,0.7382247298590552,1.5580549006374165,0.5896788411161407,0.7332230714775575,0.923188792197452,0.8384757181259039,0.7403420129953522,0.9957035920123388,1.6343830209073018,2.817248682801963,3.9231288561722257,3.535814643159734],[0.9930818615351447,0.6173460039295875,0.6227046463887606,0.3693450656348228,0.562877184054558,0.3605098860967826,0.27020471926165224,0.40995819545853435,0.33612914442416614,0.29715209629216244,0.3531518921510485,0.46768373586199824,0.3592550231192824,0.29537606859036203,0.4475350647341731,0.41700135661527776,0.38917885529083146,0.447223804106729,0.5604171034491159,0.4831361750326171,0.5448661433009162,0.555948647838277,0.61488922715318,0.7250092585707186,0.6415445421791263,0.6042472202829122,0.47573728167652723,0.4075761971394821,0.394410152613058,0.4087611269700049,0.4940619310780027,0.49384819908612315,0.6146077943650984,0.5635459452839451,0.4767383362356202,0.4087514996617611,0.4348971997233635,0.41056645790803253,0.3799487140926064,0.39042459368613375,0.5077374244529896,0.49791103572984785,0.46967906051977376,0.6012501852290797,0.7695700849098451,1.2487139443939268,1.314843806694764,0.6824987063968874,1.2277157794357767,1.516703380193307,0.7968237801466753,0.8917284308863769,0.735027509472056,0.602354252992242,1.1066991351370679,0.5930777655751258,0.479508575023841,0.6424071352230782,0.8036377170720377,0.6921951204032084,0.5679635174424377,0.6058140612367082,0.6106711146626378,0.7030637973433692,0.5831786103179498,0.5205118623915129,0.7531584527232793,0.5772541226189898,0.7474355342940482,0.7005542738795513,0.8419220583398459,1.1211601842083578,0.9856068444269399,0.8945182140719496,0.6351126446318632,1.008181492506962,0.5325725066650003,0.5867631745867148,0.4833778644101213,0.5202912283855995,0.46814209903811455,0.6255682033667007,0.8229340513095994,0.428066922738951,0.5235407266129496,0.44310979182713844,0.4374318922973697,0.5432251583442717,0.4194683221965129,0.5482901694563457,0.5374369872379375,0.7719422047773143,0.6571900681232562,0.6151616418428255,0.5505615651334363,0.6637128807619064,0.6325026675135649,0.567827186102506,0.579907132710231,0.877704216540099,0.6130207378897127,0.7985933724085109,0.5730473619309728,0.6143916458235332,0.6010598384227115,0.5360707096172304,0.7142384799182735,0.5877801281317034,0.6324446548444952,0.6884283476853293,0.49948125443523295,0.3661108830903218,0.29940450059438,0.3472482444270384,0.3018900113929347,0.3482348820945937,0.4414451533893471,0.3800829407967722,0.6009213637967773,0.5089842284516553,0.4649235369710944,0.39867353024670965,0.38825824184898927,0.323739293264195,0.3372082927159244,0.4224929523232351,0.45783831479040604,0.4281595732557298,0.40375398907500376,0.4413476547815958,0.45212994815443214,0.5272867520768718,0.43904303248257875,0.49671080520762795,0.4613412502140704,0.45063076557863446,0.5679055616424337,0.4079182216389944,0.3875760950617322,0.3441452522869767,0.5406324575358011,0.5390160142611297,0.49215645793025553,0.4105302817595992,0.39451757424894063,0.35672613643433004,0.3058776710913625,0.3510523552054207,0.3418862467808418,0.4221840556081155,0.5465876392325867,0.6856207138316907,1.2652614409610112,1.7942044536398218,1.2297020145872368,0.7880611576576945,0.5818977586389583,0.6045987344675543,0.4815750718242927,0.5426543319472028,0.38155899071413585,0.3393937128535063,0.31623042105938187,0.3402038595501838,0.40587276693262725,0.5364892206632321,0.47806299813374004,0.6372723592146711,0.7457108116754677,0.6750244999762313,0.5033951561896942,0.38404708490766987,0.37767259387608515,0.3476137460587975,0.35591742424895195,0.44302600513547474,0.4675936606754535,0.688707398053792,0.4296898939007296,0.49713847555856794,0.6402387852346388,0.4324286422940918,0.4253180600992947,0.43724730039922993,0.42413286451981097,0.5987166651840246,0.7389214265641312,0.7772645277396967,1.7638601578716613,0.8443453209003847,1.064265418215458,0.641818912334577,0.591699414662961,0.6244143179303014,0.4883613437909227,0.5230602733765511,0.5661768640448934,0.5198375832273705,0.5449018899413034,0.6311267626450004,0.5096149636783885,0.5900641907336182,0.5166727191280972,0.5232365563613994,0.5973405672315744,0.6083306105635476,0.7160657887210947,0.6295290396922516,0.8492954319249096,0.6544847423597683,0.6927065608823775,0.8086655032224018,0.8707471584054854,0.8129906185708445,0.8628538889496898,0.8664346365226229,1.05906509878195,0.9807732588351016,0.7762917716509079,0.8534287873370543,0.8214288641510804,1.9098610630923207,1.0396831461037364,1.6010590122498025,0.854598240780912,0.8937230056828847,0.91262650330119,0.8533342993424312,0.7715484477314689,0.749771813090042,0.8803493757999692,0.77185707056053,0.8662168763345506,0.7078859300266914,0.8920533675967304,0.9209644429411092,1.0343341373833121,1.358196882137938,0.8441079644023579,0.5905966103339463,0.7105722167162583,0.9511247648972334,1.1849235856926679,1.3134531687498847,1.2809939749679051,1.1259440769093922,1.1943083031997308,1.4480104739927246,1.2882727607911886,1.0422697769150617,1.4350873611633348,1.5758685830616945,1.142859316341444,1.2702693431377634,1.6195284361082183,1.4879661540485942,1.1461799829104196,1.240936678825966,1.0420902300496355,1.0663447204323562,0.9998397762804803,0.9363747974309078,0.9070550451906988,0.7422662619860003,0.7234503355231557,0.7067528861528373,0.7251654114082344,0.6176650829549125,0.6559289762782817,0.9773343603268347,0.8799211163998596,0.8356939453441891,0.903845643718412,1.1534515552285933,1.134863212137079,1.1889060533240916,1.3731437192423124,1.5006380810799518,1.374605826510485,1.2621068247622784,0.939588269569291,0.8737246846791431,1.419749538828299,1.410928544090842,1.523176157593595,1.5524850752596957,1.0150175887461497,0.8260269189780688,0.5515359626239469,0.5203589499374383,0.5572919802288872,0.5825359928289068,0.7076641212852226,1.577660846725925,0.5950050914252512,0.6831414833004454,0.9050143270653691,0.8473504235172031,0.682472783419456,0.9195954838132768,1.539307475917276,2.5688577758342372,3.6872194342975337,3.113115647371791],[1.0144385811001537,0.7992356015439734,0.8490820204780897,0.5527427097984546,0.793837489266713,0.4869211266803389,0.4072727182981722,0.4905618722440346,0.3995610538921958,0.3620434676008481,0.3764076169291807,0.4828124488066667,0.39315036179587226,0.33130271949621515,0.4467015023594536,0.42400392187317276,0.405286940699169,0.45794460501079204,0.5947751278639065,0.507419338148612,0.5812486566018941,0.593243756320023,0.6600093217368869,0.7689833442431407,0.7049247201112521,0.6631382100430359,0.5285701467199462,0.4550643288968263,0.4072888232594993,0.4256964892597666,0.5167721582720615,0.5010862953412377,0.6345659881357355,0.5888607638051865,0.4854643391522255,0.4230511593035386,0.44209139489425836,0.4377277445760129,0.42817897595776694,0.4402003452211889,0.5852081637928969,0.5160961223995333,0.49385682973453493,0.6446600851596245,0.832090672218246,1.3310508687039828,1.4467271725573079,0.7305488487547059,1.2514500778313635,1.6164268855441901,0.9107713772324083,1.0194791742958775,0.8087479578073744,0.7089203174941934,1.151652785004745,0.6300267438971575,0.5233148375794799,0.6721838179695244,0.8045913064280746,0.7336817881094643,0.5789472020392933,0.6249008326157766,0.6432919017505448,0.7545257973770958,0.6181905524826569,0.5452138347260513,0.7831307171852752,0.5963130557777692,0.7803524028296284,0.7307895274697465,0.8600034622758791,1.131949822351399,0.9977172879571392,0.9349746975918496,0.6816036315519164,1.0777057265093457,0.5627864542889084,0.613971418643795,0.506056504118875,0.5337479613706281,0.471989577419063,0.6614986043678476,0.8163543723457279,0.4825192309022101,0.6069644967251169,0.48251043520249165,0.45864991482785517,0.5466513889140658,0.4390036552023006,0.5690991392973683,0.5691917371778223,0.8366181845270851,0.7055095252316995,0.6599697592912939,0.5758936439904562,0.7060725541015975,0.659627907078276,0.5834836855336716,0.5912100968263189,0.8850161671283197,0.6128455552548117,0.8062775825976799,0.5820317106187527,0.6453664947590391,0.6668916383413502,0.6463952739630877,0.8080743344706529,0.7899421692642996,0.839796145635527,0.7856221579746008,0.6911922037095335,0.523369606622484,0.4194492852586,0.4590522402872167,0.360880574434426,0.43565809653395665,0.5027021637070354,0.46418767085638507,0.6634335622771794,0.541499140290422,0.5122103991867869,0.4428794108759477,0.4669572082836156,0.42118070132543206,0.44905317173526593,0.5730947170176958,0.636240504160904,0.6176416053289592,0.6249762690940426,0.6022346325443733,0.7109118383529944,0.7652774637266962,0.6827819734492652,0.6539305091591546,0.6504176507562125,0.6152003799878385,0.7731012218718918,0.5858375381221317,0.456619141476975,0.458772574314844,0.5936137743910072,0.6190805150556781,0.5683708677281528,0.5052481578646698,0.489061231266697,0.41071494051428437,0.38512892457794007,0.40051228219362695,0.42809039618120326,0.4815059459638607,0.5881530402611914,0.6903954352314373,1.257115912558663,1.741201864815737,1.2005450688811403,0.7879160497816835,0.5926430738844517,0.6207328623499957,0.5096090882159368,0.5797664481394558,0.4867473177901194,0.39507418123494803,0.43175034055502226,0.44770320589804596,0.53180087192934,0.6361668643171149,0.666759908036363,0.8216500151329593,0.9472175433644694,0.8510334243065706,0.7042495903095042,0.5515672954657697,0.5340208741931061,0.447150821493466,0.435021338361318,0.5030111897279577,0.5048821786654042,0.7101699590484476,0.4845708750553457,0.549401427825624,0.6358076359854639,0.5408991745022883,0.5786067052302047,0.6263884619984,0.6089292199926516,0.6874825375212832,0.7869082181333132,0.851452553375576,1.840630653807569,0.9312104683801559,1.2282262508619377,0.7471839849045604,0.7515160409548284,0.7960057923840403,0.7291392068230075,0.8162435042361303,0.8444552592502858,0.8063688264784288,0.8399158022837121,0.8764384366444847,0.7750678380053428,0.7883959396936437,0.7687055563226133,0.7986318165972058,0.8142248920009406,0.8171774171155421,0.9299289369349223,0.8580742156987405,1.0086418115083213,0.8542350473146478,0.8802068567883976,0.9649989909162043,1.0364219476442789,0.9289958449399556,0.9981563421370319,1.0410527125096123,1.2035113713465497,1.20585143686346,0.961539866933084,1.0093089773073536,1.0091560907692823,1.8437569236845381,1.241310224998073,1.716670604714987,1.0327500491463761,1.0491308886943045,1.0241593192090874,0.9822480827689872,0.9688512789277183,0.9385060910550981,1.0227557586449525,0.9798409278392982,1.0970364959217958,0.9676214188258846,1.0746135638187215,1.2102021264444274,1.2851226328273553,1.5721912721665015,1.1081502642213998,0.8261932954528571,0.8672778497535822,1.059840874691152,1.2503697875052433,1.415512042847041,1.3363010405948705,1.2041070258141562,1.2944916285056978,1.5221174348673188,1.369604162868895,1.1664324193061708,1.5494768521944426,1.6917593980737797,1.2763479346951796,1.4105149762888387,1.7655024728411934,1.6464130633958138,1.3046183066118064,1.4031710357713545,1.1995903571669222,1.2169082479961286,1.1301836733018968,1.0683916719040156,1.0682541860144645,0.9143622686683206,0.8984871862862427,0.9105559734027966,0.9294770983296884,0.8674651972144675,0.9107901226189671,1.2439945265203756,1.147279040454013,1.1215773195803556,1.1999300136353028,1.4481493822353733,1.4408433537460423,1.4847986204807464,1.705245065430113,1.8021112679389688,1.6575947298612232,1.5363278784783474,1.178289266877962,1.091692375511703,1.6922002649985777,1.6944918302777412,1.8271856959619799,1.834859945861995,1.2887629724856797,1.07981904401118,0.8302727531569452,0.7775629410566046,0.8216291254344864,0.7613794094737928,0.8604425569738227,1.6058303010415755,0.7937096132915533,0.8526373360018682,1.0567194277995304,0.9627383823158542,0.8405257065753643,1.0178058729778858,1.5676202670622403,2.4024979344748965,3.566646100136516,3.1075468099962724],[1.042113356186776,0.8074307874843318,0.8486501776439572,0.5831543427725052,0.7152747292676356,0.5262699015211726,0.47281995832179646,0.5794039788977834,0.4905765667387634,0.46117929827816145,0.49000115365138935,0.5969389677193581,0.5095435172910702,0.43130801665996044,0.5600978438766712,0.5375671140695651,0.5139922446798323,0.5471010019987336,0.6186556213366304,0.5608567244030526,0.5913680041403113,0.6105985319574391,0.6647607723631752,0.7584130544010685,0.7052040153716682,0.6472443539010643,0.566014830181768,0.5150914651062781,0.5167200426185481,0.5348865747487924,0.5701399641842664,0.6031508321772583,0.7112305156151151,0.6479008409164976,0.5777443849981119,0.5237610386562036,0.5668062688768307,0.5265070237577554,0.495654085272186,0.5175976954326943,0.5841488929055897,0.6091970463615686,0.5736917805500068,0.7028267570330882,0.8358773485311487,1.3164308250316228,1.3860185425136151,0.7874332933430939,1.3103098002975146,1.6014180795596722,0.8630466317958085,0.9101824613575015,0.8242673669383296,0.6718859066782836,1.1507547595190508,0.6591300020984074,0.5747195148729121,0.6997383915264195,0.8548379043076488,0.7214574089452197,0.6477796483950105,0.6911679661483886,0.6675431250263427,0.7133317258830978,0.6099983074089391,0.5897056594953197,0.7772145132853784,0.632485838738864,0.761784109524136,0.761187363857474,0.8670734790984569,1.1511025435158342,1.0393143032664645,0.9229807560015025,0.6797202985473888,1.0211388667141406,0.599935914879103,0.6553822419320561,0.5686948774985677,0.6231163478095697,0.591579346670981,0.7481822968019792,0.8372269402481364,0.5397034696757751,0.6380585530227051,0.5783566077051814,0.5552097984725954,0.6460982995677895,0.515402247874844,0.6164416542973091,0.6192278445816581,0.8170701950627421,0.7220805936678467,0.6881723961959816,0.6277380266797952,0.7321177157335307,0.7026300443956882,0.6695179380794524,0.6751857526483088,0.9631695065160956,0.7158287338046513,0.8890572562771403,0.6981430513443337,0.7376539155823983,0.7466853470377165,0.7001100273858978,0.8617453689316307,0.7654712753301517,0.8049628253178068,0.8079943085154978,0.7007193390638069,0.5786660898587795,0.5070134667049946,0.5474507141281898,0.48162904400251805,0.49695161328520876,0.5561583196634294,0.4932271560435051,0.6583424173731943,0.5742029930611419,0.5488746331685872,0.5011039955938132,0.492654434793178,0.4724896321407374,0.5069707621190006,0.6143779989270647,0.6406020591574374,0.6216532495746188,0.6237330096089014,0.64533191249316,0.6482820802021299,0.7122860368587719,0.6440303357151063,0.7021468203316471,0.643683143059468,0.6247611276987456,0.7439997551146618,0.5808664863017671,0.5626807482175381,0.4982424258676941,0.6244473906011238,0.6091457103397274,0.558417719547475,0.5430996421804438,0.5360987425861481,0.4887934372959437,0.46976500179176484,0.5102283362022786,0.5193285943221371,0.5627728038059658,0.6659045220310951,0.7357526960293608,1.30092314669226,1.6514248213004339,1.1732989367957456,0.8547792752092056,0.6961456284638249,0.7087995129335452,0.6046179889953773,0.6819449392329293,0.5576647286865082,0.5211320031239898,0.4978774540839606,0.5114663605457428,0.5885940074123023,0.6864158439362428,0.6600230119591363,0.7983235198398747,0.9181836840673508,0.8230054135541358,0.6792911543947646,0.568366493766278,0.5574726797825156,0.5363895172451176,0.5414400911363373,0.6070850317244035,0.5984927533905953,0.796845741792324,0.5733445861439441,0.6463123299009266,0.750606690950683,0.6347142813806624,0.6475023341941706,0.6800651850824334,0.656742304559011,0.7657818300943211,0.8574578729869926,0.843503913632148,1.795063731759224,0.9249597228377844,1.1237324601667387,0.769807116971457,0.7317472779540852,0.7616847266888348,0.6570526734391254,0.6952698082740858,0.7263817325015168,0.7035187593132636,0.7236123690466005,0.7587497754375326,0.7203826796531222,0.788547589930542,0.7131915320787615,0.72449426080702,0.806516011416555,0.804410353771078,0.8674078522007543,0.8015381758877883,1.0143459780473232,0.8037449264356054,0.8250077107838438,0.9289086809715411,0.9891032424529517,0.9051116085449307,0.9508028984699233,0.9865721180299124,1.1330354954761122,1.1196076056742175,0.8820651744547277,0.9626744223198749,0.9694647174380713,2.0144338108726942,1.1725041873167326,1.6341551272779433,1.0131790561926948,1.0892258296533524,1.0971946021035854,1.0465893484398456,0.9967347129351267,0.953322916928993,1.0499991255881378,0.948359548331381,1.025058597571244,0.8771640568783347,0.9924211787752123,1.0171844383109665,1.1198265172683508,1.355004203492256,0.9742360533713279,0.7418326534555121,0.8799631612680793,1.1159745262298304,1.3339531783943266,1.5368311381503146,1.4159543957358116,1.278922923948944,1.3874804831914573,1.6159664039306179,1.460619788749496,1.2270324671840411,1.6240359345436073,1.7610913070893135,1.3117002799703488,1.460581651618349,1.8117162811076433,1.6647224014586295,1.3101433967485656,1.4166589215059975,1.2171060194540315,1.2618155360784589,1.1977115772311429,1.1311757386864094,1.0810716685049162,0.9123693605859107,0.9171447473423655,0.8866959195963188,0.8743861836973901,0.7857449575413978,0.825404116992867,1.0867165175376958,1.0089101433025385,0.974740697000176,1.0451126825212846,1.2780690618428772,1.255263801243114,1.3265015813400762,1.5050663030558107,1.6262833698832362,1.5227247768622847,1.4294299881990058,1.0897793654585795,1.0477706804984077,1.6331643024266247,1.5652708347212225,1.6452860839557104,1.6293378560271718,1.1266150209549126,0.9585456469810412,0.7262553077734926,0.7039108515434321,0.7589253672895232,0.7649661618078653,0.8841891252499499,1.6079912533183116,0.7702392690543781,0.838982817555654,1.0526321186256786,0.9442254447394535,0.842261877450148,1.0043700527576607,1.517110000944991,2.477584896123424,3.7877337769861796,3.3417652383584744],[1.008611170673378,0.6744796767970664,0.7537488936791877,0.483587637345244,0.5960953417525964,0.4366499109171372,0.4024492447942432,0.5487073429146414,0.46193516983448424,0.4357683368944152,0.4781603396626864,0.5824652510342061,0.5087457094830856,0.438677261460218,0.5958777622151554,0.5736912603911485,0.5265723615660419,0.5919996982665935,0.695808750335832,0.608039404110081,0.6434119459608222,0.6419207878635456,0.7196313587494715,0.8350895616569018,0.7243491917152367,0.7154195696821671,0.5902549551481392,0.5325485603357482,0.5358067745494679,0.5680883909298472,0.6247231088770434,0.6452608095033917,0.7414793193083606,0.7130646990335792,0.627695918455123,0.5626041356591397,0.5961779395072855,0.5570485465737239,0.5189429033892679,0.5217551060921835,0.5848584631631153,0.626670171072144,0.5871828943814237,0.6991882053318145,0.8484654261383118,1.3254788322471396,1.3444897452911755,0.7649413029452379,1.35982409755034,1.588727578899155,0.8649424769638553,0.8450620410805024,0.8130551661947959,0.6502964937866351,1.1945943026752606,0.7095928450473252,0.571306666957988,0.749487087170658,0.9403739167621795,0.7071909528018757,0.6731513383730775,0.7017099068242233,0.7174034862498447,0.7765205251895734,0.649255134226789,0.6004969172165422,0.834470661602481,0.6995853976919001,0.8578034304011833,0.7959127942932718,0.938318631484013,1.221293334106079,1.0579938507583542,0.9799676393867868,0.73085482662314,1.0728638791443332,0.642667740981981,0.7361908538263213,0.6394267245773906,0.6890183578005853,0.6409206168685172,0.7238145596399964,0.9341374514691927,0.5676223502566355,0.6232620192578147,0.5778122110999027,0.5868087225384736,0.6658927068489023,0.5722198046275134,0.6973808358949639,0.669585726297337,0.8496216374784858,0.776843292721619,0.7423937663917324,0.671975734216431,0.7757320522661378,0.7407349331471894,0.6976261987248205,0.7097195955723653,1.000185668004613,0.757412846922123,0.9385474888101542,0.7262945737044668,0.7789652309728119,0.7463646179402971,0.6656426138227919,0.8141880198902745,0.6395388177467036,0.6795528192469529,0.7554518342851807,0.5847904002473429,0.5060711102809158,0.46105757451455354,0.49655473009558265,0.4586272632503884,0.48660569174235485,0.5500493597936159,0.5072294771937735,0.6834850169902167,0.6396072859572397,0.5819442103878361,0.5145234287815335,0.492684219489556,0.45624466119482154,0.48277182531933327,0.5340086091176957,0.5456698841018478,0.5219741623840491,0.5210073341212242,0.6033861484110558,0.5342264170289004,0.606333975159741,0.5384823413411848,0.6554063099319627,0.5743796543180454,0.567771131736309,0.6476523244552529,0.5217853679427913,0.5161123833517469,0.4839677464335032,0.6198195844122675,0.6265818417442528,0.5922840529702296,0.5338189905733702,0.49571541321193213,0.4745020487934415,0.44609278049834045,0.4888078451557348,0.5027323696057298,0.5509007409154527,0.6615560226115648,0.7684187355301525,1.3802950037271953,1.780106667620461,1.2053853058667836,0.918968096806748,0.7307938492174781,0.7453581801344639,0.639752851053587,0.6955574097929644,0.5390430905654723,0.4858228176426569,0.44769509208698555,0.47533431285539723,0.5518152057906318,0.6064995547351475,0.5797177985538501,0.6911814992101201,0.7869239891531491,0.7254576866260743,0.5964177130630601,0.5214008592369016,0.49456437350449484,0.5020566703226679,0.5315145065700142,0.6129672686868611,0.6167983164191331,0.8608539808883774,0.5866967931919813,0.6856785205335605,0.743388665117842,0.6134233895618744,0.5939532766163483,0.593980539047029,0.5665255091608167,0.7237077690001062,0.849812798684662,0.8612095234494015,1.799202469431291,0.8823499134514924,1.0690718034831803,0.72527853190499,0.6376067311433324,0.6727048576450757,0.5579308701113224,0.5563960097860643,0.5855563052266595,0.5696413096943721,0.5790075208757594,0.6324820899002447,0.6270747287912609,0.7424621642142846,0.6145171226929749,0.6073786447786576,0.7502141646865235,0.7290239718510078,0.7827991069945851,0.7306248576696244,0.9872420053226992,0.7401078223990926,0.7905750542838512,0.9142043423918756,0.9327404907996768,0.9305901103610323,0.9731530331502289,0.9618159967028095,1.1092743591355936,1.0526346746694426,0.8529492629673469,0.9630914519608863,0.9540124769067454,2.1349805117433784,1.162073250674862,1.6625810357996105,1.0192756728109498,1.1219022308214237,1.1322318339303004,1.0705059972979536,0.9798354260085855,0.9214509375573168,1.0601833131913518,0.8968354969277452,0.9316545887324731,0.779390480134156,0.9664969750880212,0.8415104865307768,0.9700709725801487,1.2392036306348133,0.829197114703576,0.6586539851888298,0.8682490341230912,1.1429885596322023,1.40049681509106,1.5664564869250779,1.5104894871639203,1.3384445524262283,1.4285241497699135,1.6959488984751785,1.4884024563353446,1.223179970168221,1.6312556453612117,1.7383667367376778,1.271507823531843,1.4619897316763706,1.7953915101917304,1.578037241375631,1.2844906859521121,1.4170446237863203,1.2152094651253165,1.2849566533874859,1.2243996643493444,1.1734889869269642,1.1007926943162043,0.9003528189705551,0.9129435942560735,0.8667555721115348,0.8382993430380905,0.709120201903613,0.7570510937763429,0.9826844709105698,0.89923125985248,0.8292790926660552,0.9200082262065666,1.1532930656216345,1.1244519715946977,1.2037925289221716,1.3742038463215478,1.5142702240100372,1.4207806520433475,1.3226105443846967,1.0037674416485238,0.9744702331751084,1.5141340222145387,1.436389717766984,1.5155884694914292,1.502842261205867,0.9985522035995823,0.8275921113134641,0.5891993328846677,0.5721261541003153,0.6239116751158661,0.7129205540923697,0.8170233405147239,1.5652205385566065,0.6546760203861633,0.7479292529999093,0.9558767435956623,0.8611380842412325,0.7199116725006803,1.030442748840571,1.5007091905181438,2.760132392228492,4.104830027496279,3.7586621027086498],[0.9873250528436102,0.708691464286643,0.7581605488595619,0.502066109938039,0.6425221565491064,0.44290938968250554,0.39207002335708985,0.5375893220018626,0.44138977171332394,0.4189073544096293,0.4618190580792398,0.5738394385551894,0.4864235432009196,0.43484146377266847,0.5851473500017282,0.5601661586933533,0.5065527633613738,0.586733365509943,0.7186265766065846,0.6132592622249096,0.6684583875917119,0.6582218785233342,0.7602355728555896,0.8764992757421887,0.7526627242003334,0.7447792327725816,0.6013453054005294,0.5298750226191031,0.5212658413014983,0.543957836365474,0.6300022334970447,0.6442257000639173,0.76712583118425,0.7367257713679874,0.6276941926228249,0.5560678252450706,0.5791353514798552,0.5457382042218708,0.508085339742508,0.5059940346262454,0.5867631875566991,0.6288953183929078,0.5943396548990223,0.7155132520978567,0.8805243333941245,1.3492195641338443,1.3942628756024997,0.7880344322879542,1.3236127737705012,1.5899154826964135,0.8981125693768292,0.8763837332176426,0.8059379684200596,0.6610081829361167,1.1883018805298804,0.7097720161157771,0.5774268091399904,0.7587658080402546,0.9422677326386671,0.7339120975675048,0.6838926163957171,0.703390084008111,0.7411720348032365,0.8174654550210874,0.6947440328450876,0.623252253777283,0.8811095354848527,0.7221947166556603,0.881014065836761,0.8115382108801343,0.9488025727732305,1.2229230644300273,1.0674066120072312,1.0128430907834203,0.7624329728146607,1.119422925317025,0.6770683778791242,0.7586252026982117,0.6504183740440644,0.6893752566496479,0.6311241564819905,0.7027512885663618,0.9516117480795192,0.5560849555250326,0.6196059341518171,0.5562839704563945,0.5734843841012718,0.6460656768604155,0.57798342811414,0.7059425585243204,0.6943224691422268,0.8953010038552239,0.815259434049974,0.7827394762093854,0.6882150059387209,0.8040181616232057,0.7509384548936492,0.7151924356109506,0.7254392324762811,1.032789126581401,0.7656648333507677,0.9473572599174503,0.7226473593781095,0.7733019783567813,0.7254170958010395,0.6528520219749985,0.7984105285106571,0.6527337523410677,0.6995999720520799,0.7525287741244499,0.5946793683221855,0.4914812353209104,0.43863676829148013,0.4846970790394691,0.43098035784834193,0.4812259251664257,0.5586272789461234,0.5231482463895343,0.7209599241684415,0.6480304098634319,0.6107032871395583,0.5314753884474273,0.5113426474670263,0.4561150618096418,0.47358506466838773,0.5490956526161814,0.5575319624642829,0.5280053128600968,0.5352853270560423,0.584742321001557,0.5534458193190465,0.6202459764243649,0.5498606478933128,0.6290740702150152,0.5730110395289602,0.5653331396037671,0.6888824050038492,0.5278395430746795,0.4719455739172351,0.46533642881867326,0.606923840653803,0.6177764074116984,0.6048605932232995,0.5470821608471744,0.49719428759243794,0.4680218870901438,0.4342547727051811,0.4736923057800308,0.48147551582965736,0.5279847776812477,0.6496593203208536,0.7617026458507148,1.385130320041924,1.7739405958200822,1.220137557718364,0.9356571040894109,0.726928738493557,0.735647941509568,0.6219903675982262,0.6764442650091869,0.5115950893780596,0.46132703669359165,0.4298147929716836,0.46044853983934547,0.5259597641518954,0.5990965393002434,0.5909897171793825,0.7348683341459556,0.8364558032643356,0.7713855587189969,0.618291402124485,0.5150145241003622,0.4824240271175756,0.46716397800294934,0.5013885130783315,0.5901893498997933,0.5984881239044962,0.8528349110530656,0.5671346001786194,0.6611265620031929,0.7037557584994206,0.5748884799055318,0.559569697662222,0.5688364899100693,0.5506875227742057,0.70382878176532,0.8319501649591021,0.8536858729350475,1.819085649434025,0.899038938692565,1.0947391065242384,0.7304257539975761,0.6596183206557187,0.6944816231481414,0.5779434734296416,0.5974585707475903,0.6324255741292493,0.60696214634728,0.6270801175096156,0.66999690580372,0.6412510664447708,0.7453255900576264,0.630231228352383,0.6372745699572236,0.7548208788109319,0.7393616407841151,0.8088260398369179,0.7505477666906403,0.9990534304743222,0.7528167317500432,0.8100336576291476,0.9310722942626574,0.9527805098746528,0.9127037421094,0.979356590906785,0.9956595765062999,1.1536725557446066,1.1214801755413348,0.8792045196517684,0.9854232130140403,0.9907437558930899,2.085154534458896,1.207350994394416,1.6708422332148456,1.035072630819665,1.1362537396939145,1.1327714909749789,1.0615185647705179,0.995580259541688,0.9150718758660078,1.0365643851611988,0.8915093010015828,0.9466595749837416,0.7993118309318733,0.9731897846439136,0.9425484830554335,1.0758452189347991,1.3174848380000135,0.902708587867112,0.6654204749885835,0.8450030279960291,1.1181454771500594,1.3780962630789613,1.5917480207498123,1.4962148229055818,1.321887311795934,1.4466519045702435,1.723798678182097,1.4903961948332305,1.2376488820188274,1.6742413344965643,1.785596783241651,1.3026919759333502,1.5054882709552913,1.8565465652039528,1.6371002654226499,1.3243494020543665,1.475873895797439,1.2538994256293214,1.3231613490228586,1.2397353628091476,1.1872689715311318,1.123617168315467,0.9052800400350524,0.9160463423922713,0.8860829551436876,0.8635748963197187,0.7341989753757994,0.7842220079774517,1.068793317190831,0.9850538090732989,0.9293431402448386,1.002174466019711,1.2744222093598667,1.2429333262875264,1.3198911667411035,1.5252139551785981,1.6580275759556211,1.546942686978101,1.4334987535599812,1.0721354074952227,1.0154496804769806,1.6116170151680287,1.5451941104372493,1.6450243857004374,1.6186177396942665,1.087119434416931,0.8858461016709601,0.634777878193152,0.6117163235785927,0.6563872612999725,0.7139973363412795,0.8328139599797322,1.5451297824610615,0.6673550924681516,0.7593493070426328,0.9985173449968603,0.8935541598871036,0.7070862644168465,1.018350990131702,1.4822008400071651,2.677804344787844,4.0185441330020515,3.716818660232114],[1.1024067174954688,0.8852161090199556,0.9388507011523733,0.6003704136406357,0.8105124374043012,0.5565807702125234,0.48731821877146986,0.5912009809716344,0.4933363616371554,0.4540269827683725,0.48154254572626237,0.5814736211156771,0.505280194818127,0.4372079343867201,0.5772241332108107,0.5588204376788005,0.5303673437501468,0.5804977881015588,0.6875095250474115,0.6006367957810432,0.6534292275050493,0.6562977115368025,0.7300522198194117,0.8202327983178431,0.7183896071800437,0.6964652083327746,0.5853244691916331,0.5177251775215057,0.5192606848939963,0.5419438335563602,0.6314715429214995,0.6368001930746933,0.7371797696533262,0.7197530848531726,0.6134136114711809,0.5422183855243695,0.5620632459512642,0.5354420636297158,0.49242143335279154,0.5092832768023589,0.6202979551858901,0.6174491629983555,0.5743466562294683,0.7113648164834595,0.8851556195677033,1.354055210853019,1.4167462312117292,0.7675492815642976,1.325903991803931,1.620760738930998,0.876961128862861,0.9056880378295759,0.8412256716565398,0.6795279989779526,1.1817706151321374,0.7001957608249009,0.5583455169329236,0.7509051313886247,0.9331523783210912,0.7222952669299083,0.6646649778619285,0.7140667140291558,0.7355057820871416,0.7912599582514156,0.6754164484873442,0.6112596012999122,0.854490019677552,0.7111358891383647,0.8681049253452736,0.8284510464666065,0.9675514015394973,1.201224325612917,1.085500812634111,1.0057517310243027,0.7734928397565959,1.1227404432238826,0.6709764797032582,0.7424054324062057,0.6268748710931289,0.6696607953218648,0.607741719123453,0.6967185351742095,0.9106661519252921,0.5758774744858716,0.6394720819059367,0.5528292436351275,0.5530416162365185,0.6319720588458069,0.553031881260464,0.68816242322055,0.6867482901438252,0.8947172758844609,0.8191219219857689,0.7815476117210822,0.68847304991106,0.8180906016389724,0.7746962429705277,0.7003695670504997,0.7010273451565365,0.9542351105935702,0.7211658114819901,0.9039402587987175,0.687069987324624,0.7566229634741666,0.7529235727796699,0.7127978611830019,0.850231364122258,0.7872671535812902,0.8402177246424464,0.8428534954319857,0.7280276882834025,0.595647881305219,0.5185267431134892,0.5500219143214593,0.46834756580570125,0.5082281722400298,0.5455392389945757,0.5051837306486429,0.7072823638341402,0.6381671811008363,0.5857483233774851,0.5261006210203886,0.5025383818760737,0.4733596413312356,0.5245747238379094,0.6334005972352172,0.692570623086257,0.665382030541873,0.6745728774576305,0.6698318405905527,0.7268963680289972,0.802122125233994,0.7160267002251812,0.7178655682266799,0.6850772105645709,0.6632332966191274,0.7986186433386715,0.6114318732483962,0.5265913552369409,0.5051905274069597,0.6247294596279983,0.6096570754918448,0.5741319089007962,0.5530587743256355,0.5235216650137979,0.4817239483821688,0.46188013702474445,0.5008472662049527,0.5145552431806609,0.5576750425031647,0.6435859635183969,0.7171585987458743,1.2668083754886525,1.6206368558672113,1.1465496886865876,0.861754961982996,0.6943364125212511,0.7044866758369217,0.6059968279155724,0.6825023335887531,0.558659482972504,0.4914088237648448,0.495854608042315,0.5201234825818759,0.6075179844565822,0.6795198024683494,0.6953483676876795,0.8354476096479483,0.9560149425145427,0.8590240186121783,0.7235746271702223,0.5866648888847383,0.5664367043871273,0.5172425995492355,0.5307015092459766,0.5990402751088607,0.5828045019121691,0.8095897907041273,0.5718772221532799,0.685796367360366,0.715282010934495,0.6370803385436791,0.661852241563365,0.6936697023355547,0.6551203343085786,0.738561602391502,0.8512072902202422,0.8771721725350278,1.8028688512713904,0.9096734766781468,1.1343442690910404,0.7721037108146949,0.7721958652790477,0.8213086472664999,0.7421993323795396,0.795664853834485,0.8192799998688685,0.8139180465024033,0.8418905182305303,0.8692547465541264,0.8124671723374527,0.8363711833228856,0.8006144989310896,0.8442152370146754,0.8779843243323199,0.8540103665143219,1.001786771176385,0.9368755648132251,1.0561768903366402,0.901739941419969,0.9963424345727637,1.0481439178524905,1.0361209268405067,1.0537016577530656,1.1431523721593024,1.2015889223537084,1.267737524992758,1.346056824023875,1.0798501642673826,1.1252829974644212,1.1350020134899261,1.9316548272120468,1.3959878687650102,1.8501180247971654,1.1592946717825448,1.1867344283292547,1.139484450892076,1.0707526518963617,1.0724074430391957,1.0387734626749872,1.125643020855357,1.0486035164075291,1.1335284299909203,1.0024086505514405,1.1091373624794134,1.1939617936963889,1.2810746933050428,1.4549950543925894,1.1134443300602352,0.8274773450384496,0.9204864235864216,1.1341097955769934,1.304668739353574,1.4822360474543166,1.3863886134318264,1.2713757181333394,1.3645397190342814,1.6051460427421311,1.3966105507599833,1.1999069600134191,1.5755869048963402,1.686337335442073,1.2795880319381014,1.467211283295487,1.7808687896067603,1.603428403093011,1.3364307103099855,1.4650306867145737,1.2803634454978559,1.3200789641231219,1.229690319363176,1.1953480579351736,1.1788313160231754,1.0056116309435787,1.0054233257278486,1.0226624297557827,1.0236670033640272,0.9439305302323152,0.9922569601045964,1.2888492104022733,1.2162184721850056,1.1730240062620498,1.2463518830308473,1.5257173078205797,1.4792557166879314,1.5445672295692254,1.7460610991318446,1.861677164910933,1.7542271543844357,1.6544775891294297,1.29937293711117,1.2336102729616694,1.8195447173951058,1.7466254064293698,1.83482354859425,1.78998677650824,1.3047220524681273,1.0888477880901968,0.8400228586033917,0.7793721271539565,0.8578972736431214,0.7972856121882371,0.9094849640722122,1.5943015141972017,0.8081258134364017,0.8823646938872314,1.0797043513912192,1.000601054349246,0.8086582485620998,1.108660976812244,1.5275454461025186,2.5009078803287177,3.824440401833935,3.545953723212562],[1.0720329752611364,0.9830851512662057,1.0836097504040525,0.8759536336331393,0.8628649197001304,0.8505323792014315,0.777295646493758,0.9089002844385363,0.8044086631265942,0.7332947881652719,0.7787903607314806,0.8834264221855669,0.8113092121174255,0.7139929914844731,0.8573282306790666,0.8646960448561415,0.7998127172938369,0.8365844039740893,0.8663463411353043,0.8542374987086758,0.8715541501736612,0.8838316507828471,0.8910070119651748,0.9442314425941358,0.8877326982073975,0.8692856394007531,0.8036831525033774,0.7716014224324568,0.8173866383698822,0.8796815462222585,0.9087773826610794,0.9545161105132439,1.048849553962884,1.028010815630073,0.9521465863520253,0.8678362355238826,0.9232755912741207,0.8486436455596365,0.7945959043636,0.8357082755635391,0.8434145165747947,0.8554842238235801,0.8271300046035234,0.9173274949646626,1.0068896800209541,1.4186779780006233,1.4403837858557187,0.9504612696539647,1.470532220686817,1.7130015231400784,1.0228841430900577,1.0287675694404856,1.0466963411701165,0.8768152682247545,1.3476661179451612,0.9794182217694297,0.8405872826934521,1.001404100402878,1.18361709442709,0.958690571954054,0.9169817965328848,0.9810722542489967,0.9898600876637036,0.9713805595065855,0.8987596280774052,0.8739359927934006,0.9820429918599103,0.9289517949145893,1.0431999396983804,1.0145814721408049,1.0849245136934902,1.311801144584847,1.2205708598094913,1.1584427961995971,0.9884062969389217,1.2914178647502839,0.9460115345510557,1.0205523489783208,0.9431692929607415,0.9764297023051475,0.9889636787414091,0.9693446614568731,1.1613481311108371,0.9530775921129071,0.9039307709498994,0.8896394112593684,0.8796342268367051,0.9643660356363825,0.8734408843082396,1.0019422826855606,0.9719528434258332,1.098433292354813,1.0630510402068016,1.0473974634566785,0.9670336245072734,1.0382932604013446,1.0095187736757243,0.9798908742291862,0.9890897369813079,1.2447770376360152,1.0849939174633678,1.2758679256074295,1.0437043095197958,1.1374704698050446,1.123335267053764,1.0196245013346372,1.1770131288448453,0.994212939344724,1.000129749807761,1.135617118678234,0.9582049596021001,0.883041645879777,0.835237966572176,0.8071896881574704,0.7602201531524234,0.741428214415691,0.7522449921457085,0.7051776793747518,0.8080320831675416,0.8089205730950116,0.7602351495581742,0.7150113847573314,0.6968187403112927,0.6975058473121418,0.7515398243176175,0.816561626647465,0.8567871227651506,0.8770095406050487,0.9107165969198006,0.9873979389797218,0.9180184573237383,0.9914606749578242,0.9367450971902506,1.002307637680531,0.9302383226280018,0.9217387351155197,0.9604018528242493,0.8216235615876701,0.8252011700782145,0.7713682049750906,0.8108447935662885,0.8281726119682845,0.8042422012283366,0.7697355517251485,0.766596532398877,0.7717658813667138,0.7693198002682712,0.8385134013390235,0.8582064369468779,0.8977350144156475,0.9960634669005914,1.062667081601253,1.5181714657198482,1.7479389067584628,1.3697562075856542,1.2006115011430682,1.0397061045519287,1.0849023331808418,0.9580202488113825,1.0532911234618416,0.8846774711274981,0.8516492964866669,0.8166758411468876,0.8302559651945499,0.8430707824464013,0.9433372453957073,0.8731172793784804,0.9591676572743364,1.0259978521232427,0.9351638216352054,0.8832573529261141,0.8228181764846235,0.8376315869404591,0.9024679598117942,0.8994075843778117,0.9703182500751241,0.9382861591002561,1.1033105256898428,0.9326217618250758,1.0459539737369286,1.1551868796748053,1.0000178741447887,0.9780700502725674,0.9651833030197748,0.9144223922678201,1.0194405099303512,1.1418388012409142,1.1031710560654886,1.8856188412672652,1.123656766430513,1.142311935193788,0.9468859316679178,0.9662330101978143,0.9922402975916154,0.944102437948039,0.9341853413159498,0.9287759310979227,0.9629736509466849,0.9667670258028352,0.9988637174272503,1.051587632119866,1.1424757606106692,1.0094701591181563,1.0249034713841507,1.1545433590154188,1.1106822035663864,1.1152306833797698,1.1103417873319321,1.3251784314751993,1.0785140363452745,1.1249517602389314,1.2461986459357228,1.2353899230043925,1.1618995689444322,1.2674039318562844,1.279342878440078,1.4022712121488023,1.390185810318239,1.2022583297641523,1.2983600377685345,1.3414670090320677,2.2157800414756497,1.5600474127744854,1.916592660149419,1.4110295403744324,1.5154494366742506,1.4869284205051212,1.409511818527907,1.3871880898534534,1.313053705347362,1.4157211782811532,1.2966624147257837,1.3181914432520172,1.1988695670112115,1.2868154077479326,1.2159815930709517,1.30749641566532,1.4571664213133322,1.190436588070032,1.041701711320565,1.2213308042282498,1.4560691941021828,1.65255155376134,1.853065045906335,1.7742413639778603,1.6284031106494499,1.7383707495912837,1.9665452599528033,1.7510675420334973,1.5312878185866852,1.91679497017496,2.0040654573125694,1.5617752339375037,1.788168069461085,2.0835573826033835,1.8639533695601123,1.601780605715458,1.757975445610792,1.5600724265216859,1.6465848980760631,1.568865531034476,1.5435850672256046,1.4770278911863173,1.2805406418027083,1.3077486522241302,1.2707084180508998,1.2264720218025322,1.1291017326599675,1.1857457071134894,1.324106935186822,1.2507214551755905,1.213051012333679,1.297059705173697,1.5057858152228567,1.4488421619896221,1.4994639682691178,1.673200638007088,1.7621151336244103,1.7456296195255765,1.6017844415492206,1.3087477282290882,1.242664958170218,1.7500708822002566,1.6518383608948346,1.7108882036470048,1.6537754861326865,1.2883506480484939,1.056540941501745,0.9462553507536143,0.8885860901275306,0.9624164883909375,1.049940708382706,1.1823194920831972,1.78900496900822,1.005747425967293,1.0881253848850678,1.2563177245241564,1.1794521720921423,0.9803482738823303,1.2596388330848431,1.5471821154604273,2.681867905828627,4.0893452211327235,4.070428781168938],[1.199307829306284,1.2001475407422093,1.3229477097375657,1.228953517004226,1.1550106780771283,1.1793164925368727,1.1084284847205015,1.186903316706425,1.085783934741496,1.0222703966629494,1.0421774795843628,1.1319320975400609,1.0809152274629055,0.992968172987808,1.0987392476432345,1.1091095500227215,1.0743130411150648,1.0963230489120435,1.1167871714541622,1.1323848038525393,1.1732700157958398,1.2220833418073953,1.1407044178539796,1.1215031048191029,1.0952604423566916,1.1194826103968394,1.082521869352691,1.0514616280180897,1.0888945267283674,1.134834513516022,1.1294491285388177,1.1715543658452612,1.2324093015250324,1.2186721393853917,1.1744530365281998,1.1161974349398731,1.1634339987816216,1.1219709432935732,1.0841653695040097,1.1418336185919096,1.1500454836421845,1.159242656019557,1.1277626483922423,1.2504962749559316,1.3438631244514172,1.701319696902045,1.6761308100736827,1.2862764581192585,1.7181865298761687,1.9275165438966775,1.2587157141590557,1.2593741914752228,1.261241802384274,1.101944560071711,1.460306486346424,1.2215271742287945,1.123726712781809,1.235582125892344,1.3742758434839704,1.188130744484026,1.1386543483078304,1.2294560900321707,1.2115163604289372,1.2081700694814632,1.170362123822232,1.1437259179072263,1.2483190140486422,1.1861623768131264,1.2580521980679964,1.2666441773644057,1.307971396723887,1.4878455469697303,1.4290552486040335,1.3666671198514762,1.2118702290525958,1.4576298633597544,1.1808469190782704,1.2204729377268553,1.1678523576030593,1.183260674915838,1.207450192981931,1.1569146843094567,1.406847270905421,1.2565288131785108,1.1367003196157581,1.125058316033722,1.1297723647172533,1.1975559591386067,1.1210728578036642,1.194081716158575,1.1826087841483166,1.2724727007297947,1.2423210987780042,1.2348067813919306,1.1692540220659349,1.223281250355759,1.2036283469388114,1.174938830160185,1.2068776590674972,1.4398561435635793,1.3038419279622977,1.484993825719457,1.2677917565952097,1.3643221367599578,1.3460564752581283,1.2719181295441402,1.4383861847502157,1.2441244756814027,1.2397576792406562,1.37747649855658,1.2200776566642124,1.1716853634030757,1.1430876655340396,1.1095808994251433,1.0694104306566814,1.0612184163535734,1.0530796741168218,1.0551873509221397,1.0759477675744478,1.078494667773621,1.0411356162521272,1.0150328566224627,1.0615272836127323,1.055223063010707,1.083677817362472,1.136811980640201,1.1468517513337788,1.158240578593948,1.1996479273375376,1.269669513296864,1.2200415067771597,1.2883503220015926,1.2363059250716608,1.2800718973911136,1.2184448582474208,1.2296373377477336,1.242728982983019,1.1504397208731658,1.2180699606472742,1.1407248013372926,1.1786683163446143,1.1878672403286104,1.1368556518938273,1.0835509227425644,1.0635720621404097,1.0771170710701543,1.089795282385564,1.1393613471846795,1.1462055677298042,1.1761590313983818,1.2631598679318956,1.293668999886732,1.6629229502358989,1.8530177869599973,1.5489136589248087,1.4051055065820155,1.260379896266908,1.3275583678221834,1.2055041513024527,1.3100740650862348,1.1809439583407875,1.1610511451898722,1.1549819100861323,1.1362755212717972,1.1481811312245662,1.2796654751956498,1.1799725900674387,1.264431192834529,1.2975734836553359,1.2307185766570037,1.193476430806551,1.1561490501451992,1.1643920519283906,1.2264096356631284,1.1916725346238661,1.2464490488431297,1.1949151548085926,1.3369602728119472,1.2035697977816355,1.3114943348377226,1.4871682267556727,1.287914781671623,1.2744174351854132,1.2473750088607403,1.1867109840343315,1.27541147004658,1.3884441642589234,1.3507130674681547,2.0554540864965007,1.388116196071837,1.3521142663239798,1.1982974643376478,1.2572567979144826,1.2750937676239795,1.270773427274016,1.2461388106168951,1.2174092201947668,1.236990729981441,1.251984481153879,1.2904041972548117,1.3052278730865936,1.3646438625205766,1.2829021176252549,1.285906309816886,1.3710088038476242,1.3358402379561034,1.393877671852748,1.35536992665804,1.4975443976728782,1.3181551528909203,1.377073896269697,1.4486734919588697,1.4259150638010558,1.4137391649132625,1.5071438676540296,1.5493181213817262,1.5837259144571463,1.6410101463772981,1.4502193072677596,1.5016413848999126,1.5347130494991736,2.205948012003411,1.7422491107231293,2.0946995354558813,1.5973213027298614,1.6702552024374258,1.632019310784788,1.56584125022887,1.5578824991842377,1.511414030713267,1.602556451730548,1.5112124151317758,1.5502252843206379,1.4567448912467207,1.4998189624515237,1.4814182106730602,1.5739873106573283,1.6976301551308361,1.478468066858786,1.3043832514981875,1.4142022432878913,1.5946434115507255,1.7472173489155294,1.9420875722423698,1.8796240465765242,1.7415549116172568,1.8368584265941554,2.0320615833492592,1.8555130244833729,1.6511387105207258,1.984646868338209,2.057925132632949,1.6770506789512432,1.8993278290920101,2.1567162292012454,1.9568024783505285,1.7253423677642261,1.8686054814879685,1.696058322010831,1.7742555633876378,1.7050258212185154,1.689839238749194,1.6256918225192942,1.4720549895360373,1.4909235163170154,1.466562484537188,1.440558695866308,1.3758676030903438,1.4162049921806839,1.5386617626810237,1.5135525945552635,1.4837656235353551,1.5441432836434612,1.7444826079859035,1.7170200606698354,1.7710481149285018,1.9384898845144,1.9968662565744517,1.9760826885070417,1.8626616962519444,1.5941717472796393,1.5303279645130508,1.9971215653949619,1.8933327988282418,1.9361745466900315,1.8683385450227001,1.5701410070633202,1.3402165057438964,1.2462743116154078,1.1634589820157188,1.2454764477392832,1.3067721117429405,1.403199202047773,1.8952156011524541,1.2706468279444878,1.3355734508170058,1.4717703980590346,1.3810312622518732,1.1859535084254624,1.468829875868202,1.74079270265583,2.7605968158320757,4.0649426548352325,4.268613910222836],[1.4188714880663036,1.4143909806831287,1.5169628804993316,1.3102176916165584,1.232288530690728,1.2628309024236903,1.1613665455739635,1.2819192052431716,1.1203164185446604,1.0030433115011947,1.0223041250003468,1.1667968030011566,1.0840772865702797,0.9352083424927613,1.07524209460762,1.1165536657801083,1.030849537053693,1.0465344354830903,1.0276192114402805,1.0661604120813444,1.0756601631774043,1.1227996263393942,1.0628786263049521,1.0399561357075033,1.0213865396165742,1.0226610752018384,1.0068124675550632,0.9863059167312833,1.065622494544897,1.1653400157789682,1.1520650274811364,1.255803559167176,1.3362242600297587,1.312299069181157,1.2507512336565956,1.1367238264157429,1.248834054253453,1.1278885163695322,1.0767438391466013,1.1678625245044605,1.1256005652082455,1.0871980981757103,1.0659898046374034,1.1593484180023792,1.2289234970858292,1.5899438822678702,1.5918149702579947,1.1741271081367406,1.6240592688912954,1.824395132976686,1.2388052706338786,1.310705028821973,1.3221720142711622,1.1471341440098792,1.5699729444739723,1.2621717331386901,1.1044866296246727,1.279892765842714,1.4402255558874135,1.1918825118526921,1.1333649527784548,1.2170848932716365,1.237066213546915,1.1499149638944122,1.101449409440781,1.096990201520709,1.1575193031685118,1.132045991303869,1.205204047011109,1.1868921523593956,1.2354324014402456,1.4380327342369912,1.3745992327553365,1.323815244316334,1.1808544609483318,1.4560794720499386,1.1803244259010923,1.2767620661190717,1.224370220396328,1.2327107449081196,1.3067013517645183,1.2178821777198947,1.5017122634008604,1.3756707673621467,1.2031652886047628,1.1997422784126393,1.1663924041228668,1.2964308303565684,1.1399012050169932,1.2820105439776526,1.224136996601545,1.3083669998365866,1.2848713513189673,1.300404987201457,1.2148107121334737,1.2712974112005426,1.2201023501459172,1.2659492231006255,1.3108212990122945,1.6101604654859878,1.4528477097203332,1.6835563278021843,1.4476423360854613,1.5791629779213532,1.5669361869353804,1.479250430494283,1.6896453672901217,1.4662864922968626,1.4570675517889553,1.6038293971036524,1.3960815782799454,1.2937485156887099,1.2122340212593077,1.1267572321896548,1.0353643381939899,0.9750772165448076,0.9640924113550062,0.9125879102042195,0.9551753662931125,0.9712248616888817,0.9032639772545177,0.8871076622662359,0.9065470320158,0.9488794478034479,1.028000585757619,1.1119141739341563,1.2151465287120966,1.2598082266383201,1.363442111904606,1.4541633308472703,1.3954241666276042,1.4996189238555286,1.4048434514657417,1.461224350056092,1.3414630907217795,1.3071465745842346,1.3223822923374704,1.1697720266768994,1.1691541809011374,1.0852128374997463,1.0660473488449713,1.0686030068055328,1.0307985609665018,1.0038340960481607,1.0132359826576294,1.045437286582322,1.0617961373781013,1.156128303270833,1.2271116940643367,1.2686948589935776,1.4177531808442279,1.4628908286854638,1.905100523128145,2.0618638664366546,1.7202022546589113,1.6039115196414147,1.4025655385829785,1.4923901982705354,1.3237781435135645,1.4675926801505395,1.2736551865382093,1.1998883671943408,1.1529691077207214,1.1586140442638082,1.1728668153904658,1.2660914610057032,1.2143184258822128,1.2644768223935188,1.3184641226838734,1.2258723600118384,1.2412228576691677,1.1822824970524368,1.2138701710929527,1.323724202272089,1.299442641821975,1.3998432847399271,1.3130451808494767,1.466366028371299,1.3318823389609071,1.4667982417839678,1.6051774414370972,1.4531250111029104,1.4334981907793445,1.3844810615617504,1.2951576252639698,1.338129256570074,1.4069967888647044,1.373556776437348,1.9988441047580103,1.4135396122212174,1.3819172255209327,1.265352888258909,1.3634354647460865,1.3982493102347704,1.4299523293747383,1.4374840084996627,1.3948901348653102,1.4802250976369837,1.511589161384602,1.5354043935410004,1.6706848442590247,1.7427387474593026,1.5661292397928384,1.6180069430234665,1.7994247235737553,1.7187488329096625,1.651646633120271,1.7487610965952942,1.9759457331088517,1.686448267645757,1.7400265938127164,1.9323213417362226,1.8697079560488132,1.704852477976171,1.8973424108848576,1.8710343735901989,2.065533440133781,1.9653584897437109,1.8640610232361392,2.011214059942845,2.073175618393309,2.7106385790980627,2.2396938340908408,2.5124741373957074,2.1208358708643242,2.2109663164502007,2.1229797054439823,2.0740976646434963,2.0845107204390625,1.9673305628831286,2.0358118160865626,1.9499280265031302,1.947886607066683,1.8199023660572937,1.8362121751481828,1.763914559335256,1.8303379182148678,1.8787156813132677,1.7240778057819748,1.6160991557858222,1.8053080482238357,2.0307109516034307,2.197544251412986,2.4332271658136406,2.3365156863804715,2.1582782901492026,2.3329522014397956,2.51097269106049,2.266648498834068,2.1206125628013357,2.486074922033339,2.529965422162772,2.14521107898681,2.4328903431555173,2.6758902522562766,2.4484025807462104,2.2702648490091835,2.462203400738957,2.2610422316495753,2.341595205356516,2.231141428569377,2.2398469451487584,2.1941300965229424,1.979743806967213,1.9992198278481128,1.9781250343220282,1.922372889232228,1.7943324375075262,1.879975971566732,1.918971227549964,1.8269467718348262,1.8002889163918663,1.8953765728481018,2.059178374238515,1.9780046535968188,1.989442840000606,2.1458761464152025,2.1627857933614987,2.171724198484532,2.0172625256588788,1.8133458521825254,1.686437344776215,2.06139766169294,1.981086177302687,2.039563880774443,1.965653960460274,1.7691493200029358,1.469910960404005,1.4578554848919405,1.3280896709510621,1.4267780214202492,1.574048051009593,1.7373472956712503,2.131374134342239,1.4839886354113458,1.6304989141940178,1.7508723723359876,1.561227542789312,1.3918112181346305,1.7421774436786277,1.913892273265831,3.026580587466741,4.286579606826845,4.559845225044776],[0.9888984621273698,0.8733944809781617,0.9926420370829757,0.6443873028242795,0.8599038719078433,0.6860844730273457,0.6005724523071885,0.7181006544701285,0.6158086099979282,0.5529102476915994,0.5882192625868047,0.6981638354182079,0.6040983274765467,0.5353333908252187,0.6834851566460672,0.6707725040010807,0.6184414773298947,0.6809273562903576,0.7651959238515317,0.6911177844252667,0.7450207496922341,0.757802568963647,0.8098577140046954,0.8982737647077919,0.7599306326306755,0.755476577380976,0.6576926103267615,0.596254028953607,0.6267179890188239,0.6716515789648921,0.7456844639308523,0.7638277059519564,0.8694133721071553,0.8566734103396499,0.7490917363352797,0.6692523757801245,0.6946811580536099,0.6487193078147206,0.5838551619639684,0.6118349965337041,0.6826260057582019,0.6993034204294444,0.6662228130672361,0.7907271692815363,0.9529394492317711,1.3939460287885999,1.451518322672648,0.8298904476686072,1.3450336684072788,1.6008351001698198,0.8858872190228493,0.9465182638561666,0.917401091890659,0.723741734012815,1.2172215510404447,0.7878793560376431,0.6667861258527015,0.8435415157218079,1.0171600266020013,0.8181730438140147,0.7782475251658744,0.8137761631962338,0.8448848482688209,0.8642042148175342,0.7797220055970492,0.7160958029660188,0.9177122847226287,0.8036984035479777,0.9369735952071319,0.8987085199474383,1.0264099319760038,1.2596516464795147,1.1302274253242544,1.0777849437110294,0.8528172068108552,1.2092515509593889,0.7841489084798369,0.8696322641629605,0.7594587218368654,0.7853983469556756,0.7553696707759381,0.7902413385947913,1.0319082362422602,0.7383795020430217,0.7061691028889819,0.6597303303034574,0.6671818358864601,0.7631049435173253,0.6828783662228843,0.8189859069157989,0.8046347185436483,0.996624151301771,0.9336159573174999,0.9041036885185855,0.8079056780962235,0.9220467512770504,0.8867778590928637,0.8196835968885792,0.8168159021019832,1.093542685246524,0.8801597758124616,1.067242736201833,0.8232214777619853,0.9211637086301183,0.8973604727870356,0.8426170852788517,1.0200213052542548,0.8762760696078793,0.9099825259319763,0.9840362701716272,0.8216538038377961,0.7029998062335158,0.6371568261666699,0.6269994218542778,0.5479077660170161,0.575913945066229,0.6087750406768606,0.5716617101951939,0.7755252068869598,0.7171731405336994,0.6601426990351269,0.5999023039921509,0.5708935566095725,0.5465294488213569,0.6048259748798926,0.715015122310792,0.7628665138972556,0.728467765191248,0.7659209819940704,0.7912106589550977,0.8197134478068208,0.9168889080259519,0.8159212741003489,0.8196399568799525,0.7655252148977958,0.7466132022975931,0.8206093744090076,0.6631972205157936,0.5800077989156169,0.5764718772664549,0.6759228188548437,0.6812732282774963,0.6458085845447241,0.6168736455325918,0.593114093727676,0.5695629188376417,0.5556886167838333,0.6114293945153997,0.6373582121500457,0.6902225710715201,0.7906199544225847,0.8606586518257614,1.3686367383630116,1.6632611362031668,1.2494526210915695,1.0128808163782368,0.8333565881019377,0.8727491861630875,0.7422902220466252,0.8272265605365245,0.6692966875555872,0.6201935202946625,0.5950557203031418,0.6025968007542609,0.6866025605695463,0.7130217821813504,0.7359143938100697,0.8675826287827351,0.9710623825958383,0.8823652821514557,0.7626698070258597,0.6550958807880675,0.6589644424903189,0.6524955672242626,0.6588860158985289,0.7572494190892334,0.7222662762301617,0.9315148972849273,0.7125109706410312,0.8271849968943659,0.8920971392113887,0.7726661725324141,0.7826173212339452,0.7857639744513822,0.7209052491494777,0.8056218710448647,0.9170893733716948,0.9107132363438277,1.8421874328459835,0.9650709079066534,1.1408057611743871,0.794334887128688,0.8222232136812914,0.8638945970399354,0.8448378249575955,0.9020473515628177,0.8964136309177038,0.8926770250094586,0.9352524667140978,0.9782770366127405,0.9417026048671209,0.9834405520377143,0.9201833900378418,0.9521577413148216,1.015309582159651,0.9740852095880762,1.1039326728455303,1.0596726501141773,1.1903425217170978,1.0035384856695597,1.1152772344299728,1.18503665514016,1.1513966110878593,1.1482366309314576,1.2810683654305497,1.3554431556189204,1.3948588570483476,1.511869621412149,1.2284595102626972,1.273352159110764,1.2995329169848813,1.9654474023802646,1.5505881698481432,1.9597814741443234,1.3103363311379748,1.3565405724632695,1.2905563214744027,1.2147417014188233,1.2256284314024162,1.1611587885885721,1.2353008945707968,1.1728424863524154,1.258452378881786,1.1434242597292663,1.226401038605483,1.3071020219404839,1.4085017434467388,1.5759727425456125,1.2612201145834596,0.9504818497988347,1.02023060424477,1.2360261989006944,1.4145232298832875,1.6407489996203493,1.5627623261994534,1.3970609170060404,1.5338629216693913,1.775704291863475,1.540401799388584,1.3403467961343718,1.7479727067246498,1.8473825551807228,1.4127475302064392,1.6505806814827977,1.9665990322038176,1.7616674883583754,1.4981111934440274,1.6600851664712555,1.4506787195677346,1.5092809472986408,1.397521983934337,1.3771622205928458,1.3583412052668073,1.1591636183831524,1.1580889037380415,1.1770398166225615,1.1731107964751977,1.082015201297513,1.1429540067343797,1.419493669324506,1.3479451204698676,1.2920162377652193,1.3879261445900934,1.6754109594430437,1.6485342085284682,1.7115423405934578,1.9481326699504211,2.0609256532982845,1.9213558575552088,1.8270039725059173,1.4486716754599058,1.356896964267574,1.9729808042304455,1.8904520771030109,1.989520739809617,1.9016164110863751,1.4301906519515322,1.1659248369299948,0.9351062930877301,0.8357432995663894,0.9442990391054178,0.914489459556757,1.0405467753955036,1.6663739210075195,0.9058213889409735,0.9853543757214438,1.175942299719402,1.083939082556227,0.8365243601521313,1.1876683611948304,1.5584342733083147,2.5556049930746263,3.8945551272880663,3.8698834262061004],[1.123500961206886,1.0335480487392867,1.1539196268986798,0.8857521642163753,1.0795105457056269,0.990992885352431,0.9851700768302128,1.0619664831760791,1.046788303596853,1.0336968009916458,1.0818732021570963,1.1204697264924848,1.0671407255264818,1.062503307216773,1.1593307115456424,1.1130173426211938,1.103674765456211,1.163890179989037,1.2228198781637591,1.1679039420148887,1.2759592875548513,1.3241167580836106,1.2423148312639485,1.2125736804768807,1.062283086025914,1.1389713062907385,1.0673592108314036,1.0341987333279528,1.091554347392895,1.0810971033484376,1.182760220138044,1.1327193419105155,1.1740784416883665,1.184248658952599,1.1203040049667579,1.113150679061067,1.0799598768509748,1.0834954875128309,1.0174079771438451,1.036321929987922,1.1007658142995063,1.183082355232194,1.1382533502745595,1.2414495551405054,1.4092704507498277,1.7083177854403875,1.724817446828048,1.2410146676910534,1.5811473500967885,1.7317134605604343,1.1269922280832017,1.1344733641447955,1.16957743842492,1.0246853966151315,1.3734089029385221,1.1550193960672126,1.0975611402893934,1.2248409004613916,1.328988669050766,1.1912661145724401,1.1978614777440035,1.279172910447014,1.2906895077633567,1.337908206274803,1.2823625538125665,1.2173483397994707,1.3842712017748344,1.3038315077742226,1.420383584899306,1.4170586751564866,1.518922191453243,1.675544161605952,1.6211578143423961,1.5310499326116518,1.3527506809869716,1.5382869281699934,1.2671988953555224,1.2481241386798385,1.1708558553714996,1.1448590800063092,1.085180143959525,1.0248721679998372,1.3364144609301296,1.0987954107966615,1.0170647066963578,0.998888785382624,1.057178210381913,1.10544279327456,1.1204226219554563,1.169971163533452,1.223460231280406,1.3981011528629135,1.324025686840674,1.261867642058582,1.2098790178226284,1.307628049394329,1.3032185786308295,1.1710963320316472,1.1679376128528174,1.3187613706709365,1.169062054639955,1.2499586259968118,1.1183438103004706,1.160809000678596,1.1015190784235656,1.0862128989477504,1.2238671233611578,1.1193669432129711,1.1436404973482552,1.1913246108966706,1.079044677664613,1.009103331635714,1.000031671955474,0.9912220730309438,1.0045194848878227,0.9990835621485349,1.0308307345722871,1.0339569764839456,1.186130768365942,1.1718945356471644,1.1228139784059794,1.0793824841656257,1.0580887023526397,1.002410507935505,0.998236756976521,1.0227125062313631,1.036762262533161,0.9935712443307487,1.0269421208490388,1.0426006743122342,1.065500742774524,1.1600162945781154,1.061403524646667,1.0711390535061962,1.0091162825982591,1.0179427450017984,1.0105920328422089,0.9313042079254139,0.9694796662466553,0.970858439790554,1.0506131452462637,1.0971912691643355,1.0731941529953413,1.018472278694795,0.991965847761229,1.009980831077126,0.9956635124444265,1.0377054354888422,1.0060482915286189,1.052671994957512,1.083738586374661,1.1278166751386,1.4711789023886994,1.7989446839741479,1.4657205213346698,1.236627660544036,1.1401359896217376,1.137540399230874,1.0932056929769638,1.1163660448853128,1.0197739387604803,1.035700941704006,1.0062520856840667,0.9972068891371723,0.9956280235636105,1.0510210076244504,0.9573130477934215,1.0196533909736099,1.08347209341347,1.0193150372660464,0.967300823844124,0.9548424121944538,1.001709605474442,1.0251672895208903,1.019611277868765,1.0606299974121032,1.0732189890474562,1.1961456081165618,1.0501459591952356,1.1200014022150313,1.25239788820255,1.0507288913502346,1.0585010242970985,1.0329152177432328,0.9609015396990623,1.056974907726946,1.1765448564461571,1.2271272626288827,1.9754610658040177,1.143982283682314,1.260431535549938,0.9818928662778524,1.0392017903878712,1.0689077331420995,1.075388923522649,1.11477548030778,1.0996732332845687,1.103004155868134,1.1462686349734816,1.2238329656893003,1.1511352754718,1.1583541308092673,1.1493684952933418,1.1513714523231735,1.1783676330066122,1.1488678962480838,1.2787124434502923,1.2346510333914327,1.3155681488211175,1.184130255897569,1.2789652832027698,1.3312345618089323,1.306241677964139,1.2962799544527057,1.4047125669089662,1.4894748514618028,1.5369665700123987,1.6538629654450798,1.3916899221994397,1.4285001464993263,1.4524460546152456,1.9553038121977395,1.733318465311783,2.149291658750518,1.4630522591686628,1.4606656012854078,1.3619221746597676,1.3177803949656182,1.3535684430410337,1.3022910569939425,1.3524507122180731,1.3278548500720497,1.418803506637647,1.3182948572668822,1.3718750701616074,1.5222668647069326,1.6001921803449457,1.7533308989581937,1.4609852385988495,1.1527982687539524,1.1713279856104064,1.3003951395372253,1.4220700550154586,1.61332697664856,1.5324307261447356,1.4163415946695297,1.5282443916988482,1.7236397251680233,1.5472053081959274,1.3853757764294774,1.7261715706148903,1.8184592249567952,1.4752290857133519,1.6861539419274618,1.9677127975396307,1.8201411128942293,1.5844266740762343,1.7193064816855055,1.5436325352877978,1.5717800062098215,1.460686319900486,1.4488929678068154,1.4622232827363582,1.2960457861898314,1.2927582083521751,1.3306334231539896,1.3367893455140594,1.2627753411420122,1.3300548127893101,1.5953494549466731,1.5245831183149134,1.4981645319742347,1.5636281715162912,1.83703155441357,1.7960621618410517,1.84957541326291,2.0567654031750275,2.156266263292794,2.028802222411525,1.935654014554912,1.593036931052857,1.5008031043931227,2.0799260609000325,2.008407858454837,2.0923331411229054,2.0239947826238343,1.5980492380277616,1.3464434333850954,1.1578745596504125,1.0606205132520554,1.1777941812045973,1.1471607604865908,1.210211503868,1.7253098800039814,1.1574010130481085,1.1850014972510845,1.3710744594511544,1.2964194776565154,1.0361070410549285,1.353837372336883,1.7733854938198872,2.5161930531056256,3.651387233656047,3.7328160049873795],[1.3440868845136444,1.296217418846577,1.4046657502605575,1.2656901498534794,1.3056368662515128,1.2564397789186295,1.2014556432069066,1.203143631292103,1.1194634502037044,1.1099395726864922,1.1072765422056712,1.1215694706846235,1.1100557384231975,1.1063779876593927,1.1524932469438516,1.1241542016574493,1.156843181279997,1.200329997087911,1.2969363727692729,1.2399159801829578,1.3532497903824376,1.4020674031577631,1.3405786575615521,1.2923186526024908,1.2008249330308531,1.2586634397604564,1.1868327662002907,1.1403114454732062,1.1483318778367386,1.122251837512314,1.1700798140657827,1.1441380487306825,1.1623918169845413,1.165566699118764,1.1269265744551789,1.1356999980323206,1.1217703801542451,1.1549640272220414,1.125058222675267,1.1776582423730044,1.22324623725622,1.2742664665087826,1.2349924420495944,1.3808991222058125,1.554495906149155,1.8646644628531515,1.880503877610595,1.4059734736353582,1.75037780434822,1.8954468086360061,1.2756073197717883,1.2458330275600582,1.224153380432626,1.105871229943688,1.4079485380418755,1.2494086676347098,1.2051005818784823,1.2986273622348854,1.4082243214783121,1.27976616796744,1.2471981415453992,1.270320914620622,1.2871552433489328,1.3886681829824237,1.342976863441211,1.2571200333085648,1.4535011640802256,1.3235369679319653,1.4671259598618225,1.45719346115842,1.5670875747505033,1.7630045860871466,1.6440076721547165,1.5903771940986537,1.3613205437720723,1.5818271605685101,1.27686726229218,1.2272964672430784,1.1695167110747748,1.1745014537490346,1.132682634835688,1.0568448070050502,1.4096063458206756,1.237467801591842,1.1385364008519976,1.1001097283417014,1.1241178146541169,1.1161490484663128,1.146506432244863,1.1470635365661352,1.2133892236205506,1.3838220222088395,1.2943918542440054,1.2288559266248247,1.1783619145353756,1.2538943010781936,1.2544422846995997,1.1376402058624149,1.157823742379552,1.330088303481945,1.1916399766234556,1.362864300377298,1.1916006363523137,1.3037664558318642,1.2711689644341504,1.2754272206506443,1.4813295302765257,1.3274971302316376,1.3445864621833754,1.4192926658508742,1.2581416084758827,1.1959586336532333,1.1753866549157665,1.1757210479704505,1.1433247524154218,1.1689343881425778,1.1622432205930677,1.2200865452319463,1.302523038886558,1.2461141378643514,1.232395974578188,1.191410929562036,1.2478765535473046,1.1974207611968064,1.1755958892172993,1.2570598585579635,1.2416118221769388,1.2257069339925741,1.2790155125453693,1.294249782943397,1.3387797393164014,1.4201988407728958,1.3316290383052887,1.3071924636824348,1.2694559356906505,1.2765026506668482,1.2889376750417738,1.2172180060828564,1.2952973930257785,1.232411677633629,1.3061892175081713,1.3298953301959304,1.2594518722393127,1.2103094118955262,1.1488159236803317,1.1487261881917323,1.16073777984323,1.1726650516098982,1.1590734062566432,1.177609991485345,1.2371273394001745,1.2366380412776303,1.5566356128260934,1.76843335357156,1.4771716632111245,1.3127486484926514,1.2009473774896071,1.2578887517418327,1.1738410153700487,1.2738290540342936,1.2099744724471921,1.192472616889047,1.2206516182140543,1.1960456238930082,1.2276943864131513,1.3747323473620336,1.2155778696237813,1.2812238267073794,1.3329573688166911,1.2553045766279298,1.235877325476747,1.2207696574120461,1.243625981906945,1.2587962964077042,1.1919220618396917,1.209683707532239,1.1547476542512767,1.2656054356109416,1.1713099902706436,1.2777394398978636,1.5082856438350405,1.2603592440050764,1.2816557852370458,1.2514912990277178,1.1818146148323292,1.2580152687877229,1.3632405808299795,1.4122968758104988,2.02675306307013,1.3502425717649549,1.4127251807948502,1.2052482603994956,1.311242831646685,1.3368958841419012,1.370152436236088,1.4039117017284615,1.376809790242415,1.3901733937197394,1.4324919268092589,1.4836287416270328,1.459343169105413,1.4603644156464615,1.4201884188220213,1.4510880471229484,1.5015284084869993,1.454185853062847,1.565801151519245,1.5473135531091633,1.6294928226073115,1.4817969493522662,1.583786407524491,1.6553711501037618,1.5979795114110424,1.568229781407714,1.7047509665044562,1.7807814615744009,1.8136360435896133,1.9343327696692045,1.714101199183586,1.7519085787443829,1.7855113576614776,2.1331706402567314,2.0020884788590334,2.3782376151561433,1.7899561892644256,1.7984583366589602,1.6889947181121534,1.6418576552927546,1.6927657820754025,1.6159501931831912,1.6578547544840163,1.6437764135975053,1.7250862772390902,1.6239150054556595,1.6450984935725437,1.8111029093338924,1.8740284875788962,1.9886956945788328,1.7370736736432726,1.447605853829763,1.4842044051693637,1.5935787004184725,1.7136628266228164,1.9292774395874777,1.8224261493800809,1.717389485935292,1.8507797455960415,2.011355820332168,1.8170145454743254,1.6873094316501056,2.005234212214221,2.0663320837988652,1.7500409898511033,1.9923031877220183,2.2448617740897614,2.0845185003397253,1.8860141609003813,2.0341592834375146,1.867660800915514,1.90280027696234,1.7936348972496716,1.7949377173276748,1.7961002122549536,1.6334394099480836,1.637181713190164,1.6745740266969804,1.673774414152541,1.592058390458965,1.6800564535238969,1.8924904097843327,1.8175725087954677,1.7900491838123145,1.852174042505681,2.130917932039898,2.0852484244839147,2.1351846610128633,2.354128739851399,2.439599991170215,2.2811013284468498,2.181765666262563,1.866667981712155,1.755472402189647,2.2834325873688277,2.215760534498661,2.3059966431692858,2.223589690399897,1.8652321999529775,1.5675621259450916,1.4281277844519242,1.3104702047034742,1.4066386996008282,1.3828172557418956,1.4701220916104876,1.8550542234640661,1.3502230402361841,1.430166104745233,1.5515677549637719,1.4384558706237935,1.2213141609780074,1.5618799093262599,1.945934269533363,2.6933098914078175,3.7916008818200857,4.138575843154067],[1.1603506925580833,1.085924138127793,1.1817291699073285,0.901844193380712,1.069914696703554,0.901054014497091,0.8089421205117053,0.8157368430216037,0.7939288170425772,0.8106716963671213,0.8719596142173002,0.8737239716052317,0.8349201178164168,0.8811724819992482,0.9944384524718511,0.9323780548750465,0.9242909613243774,1.0443534754729584,1.1747740081579274,1.0768158802256178,1.2030879838021054,1.213174517593371,1.2365741152535834,1.2309515527703336,1.0987407641620746,1.1241099178312535,0.9972374579360833,0.9234003351848568,0.9243378561247081,0.8827089678833004,1.036197968839648,0.9401517569596608,1.0081770284079452,1.0437600801276736,0.9286441005634589,0.9390138178624711,0.8540369584239236,0.9064688016306157,0.844949475831589,0.8591119969397885,0.9548913327272706,1.0603352113207343,1.0314696349396903,1.1254596779565333,1.3002284881634791,1.6270620334440318,1.7092305530760048,1.131432369518316,1.4660107301370275,1.699282325877841,1.0520162787552143,1.119008491727243,1.0069567741807555,0.8813024926826977,1.242768340934841,1.0099353892255918,1.0032995843922643,1.076680661938009,1.1898247925360923,1.1444496336147791,1.0971115566385325,1.1298732564131813,1.1775277665744213,1.3119516211842248,1.214395742474646,1.1227880701964126,1.3907099284602902,1.2312173032131681,1.393529099039519,1.4135768579508972,1.5065754140458367,1.765299625653513,1.6422973101549396,1.5960565784528882,1.3192439017421582,1.6107333221679108,1.1734987603061877,1.1447871495705357,1.0172269407195815,0.9787373657501388,0.8865597126177182,0.8696089063513482,1.1219395058698707,0.8599201210397309,0.8402335827397234,0.8053933252363158,0.8735880554575988,0.8581266203071684,0.9573944244046775,1.007243981763639,1.1274942929401703,1.3715569463104322,1.2719927065034888,1.1733769940419987,1.0812404428820341,1.2287107200695753,1.1757363918934303,1.005548013644852,0.9719514035523892,1.135221775217198,0.9427688630569883,1.016317424027104,0.8432079801465354,0.9199549117795057,0.9086631740963947,0.892100953601524,1.1149022146666103,1.0074649822068598,1.051077829674259,1.0962083165764567,0.9340047367590582,0.8329105118048359,0.7929974355282586,0.8148222771825481,0.800766256886437,0.8491179762538683,0.9369352040294099,0.9320629183716911,1.12277550063172,1.0537648742930392,1.034301672100708,0.9527834994344161,0.927049247261641,0.8513324950941205,0.8322415411359444,0.9414563127058027,0.931878192916376,0.8924191740763766,0.9402957455308169,0.9234370562499152,1.0591978418257326,1.1421706007659516,1.0294894945329893,0.9545580882303997,0.9406377897338668,0.9299959703366815,0.9846404678549867,0.874314050814354,0.8407840922254239,0.8317219224537284,0.8737231563964974,0.9554436715109753,0.9448548961338484,0.9190535258469735,0.8597230000662905,0.8383062750613215,0.8189338108905285,0.8298444025961259,0.7870610522185226,0.8176054896472756,0.8494058554154919,0.886930048231665,1.316412996335276,1.668099961510879,1.2786461613338285,0.98914535185741,0.8934672919871334,0.9010398789506949,0.8393271759508824,0.8796795679290735,0.8283261845681875,0.8368710408921899,0.8612494003218414,0.8405110354815936,0.8853989200199541,1.0040831758738968,0.9116865486397275,1.0351564728332496,1.11700181295661,1.0381132819914234,0.9342337614179215,0.8601996559786261,0.8882580870738502,0.8569972421976804,0.8030925383487464,0.8320372818773172,0.8168767161294379,0.9672763759258612,0.7940327566524347,0.8810423494249127,1.07802322473899,0.8734697048841238,0.9141569502670409,0.9304559272205547,0.8614181431818989,0.9341868587018831,1.0503064907990023,1.0766548831216,1.8843515867322214,1.1339493726620413,1.2621882723735012,0.9204881393916867,1.0232070709774586,1.0681684839739918,1.0884428560965627,1.1947606193078122,1.1724022580612314,1.1819456446850038,1.2593426826135379,1.271717356048681,1.224388819997087,1.164103672410825,1.155069582442285,1.2610859184262393,1.2698883938430918,1.189390707364457,1.4055475077834487,1.3912464887442906,1.4027873623720573,1.2766934860063028,1.4477374499748559,1.5076572471866432,1.4061976680788166,1.4492500057645712,1.6429004386166177,1.7362051040807864,1.7599924617567897,1.9650883052309456,1.6612692750391262,1.6889804279763718,1.7207847885175764,2.078371351344185,1.9304244751856348,2.258272740331485,1.6249198664635789,1.5810086592390535,1.4543433166475563,1.413830291499989,1.5026866256043725,1.423927741175266,1.43354142969728,1.4877920485866163,1.6041212333084405,1.4753976555080823,1.5126857291021383,1.760311215944692,1.8307857205070581,1.9542754693427444,1.6166201754548266,1.214600321109983,1.2129873624337846,1.3288952879259333,1.4199548067609087,1.641128463117833,1.5207768249625775,1.4115415437080514,1.5648061236612965,1.73991679860677,1.516002658955884,1.4087030212258087,1.754451411760547,1.8272182077778854,1.4983482571192086,1.752041570880483,2.024136796845548,1.8598071211725584,1.6829023496433044,1.837018003768099,1.68223174197181,1.6895714285564154,1.5462556994194536,1.5672548908604922,1.6237131322852474,1.4477190161136255,1.426963442705483,1.5466974457070986,1.573374896204444,1.4693875664503488,1.5784147312849384,1.9133660550493639,1.7957239702818393,1.738322935965069,1.8686470255315386,2.1490899797878753,2.127707119115024,2.1487606360720135,2.4541235510179424,2.5344662174259267,2.3466405794858542,2.2154925444461164,1.8324679612233348,1.673044874429291,2.2756963774365566,2.2323154300080077,2.3730868831417666,2.275036752281794,1.8043071827089083,1.4701747186970013,1.2330227837511636,1.0631098238539882,1.1772651158484098,1.0635057480536216,1.1508118553368147,1.6586177539793017,1.0416920814848727,1.1410932442077037,1.2830753580732404,1.145987319812326,0.9388037167641277,1.3269275849404565,1.7040641921740338,2.5103103589755937,3.699298640728437,3.8118075502670323],[1.5706127025290233,1.536751103925381,1.6189201733567058,1.4687528706617197,1.6269553192767081,1.5835879023896426,1.5414208148873643,1.5330404903051895,1.5543748261548849,1.5604769910767724,1.6089797743456236,1.6063850088423641,1.5671607700827812,1.5914490348471604,1.6404870378893777,1.6011377435420826,1.6239703180492089,1.6755790260623689,1.7740208466441685,1.6903575989224446,1.8075004017720793,1.8305713811186375,1.8078489694232291,1.7516979268293102,1.712049011507598,1.722556501318922,1.6315530903621223,1.605681255290492,1.6134600236638645,1.560923432378473,1.6682010582267084,1.5873110178130998,1.6224574156033158,1.6453287608767795,1.5949635008792848,1.6047419132926863,1.5499824223845518,1.5823869496167842,1.5353294281605876,1.5545735154489841,1.644226603051047,1.6459483079152883,1.6243069146779487,1.6768891082857058,1.837261446097603,2.092794390316897,2.164500821675205,1.7040921938384817,1.9224991336439858,2.1052359639832514,1.6002618512685296,1.7762337434569417,1.5878103323493242,1.5153495498027467,1.6086898339561988,1.6195007787940663,1.6217587988902755,1.6779032738237845,1.7506746471090036,1.7480284952696075,1.6768079607837187,1.7724434064377574,1.8067209003569948,1.9064161181912695,1.8045848675336862,1.748504642142026,1.9364825347872492,1.805097986351189,1.9019465405675602,1.9384082934421245,1.9815627339708428,2.1776435476956477,2.1170312964243556,2.0837902450985353,1.8879129073871417,2.079960418983789,1.7843623756816012,1.734037991254532,1.6769924955616775,1.6428277967833103,1.5756535028896106,1.4127339237686318,1.8425827491797973,1.6037937322272509,1.486895992232902,1.4939794458994824,1.5386386383452424,1.5486446158721754,1.6247887529276963,1.6518055601663224,1.7419097199941085,1.9689219657409063,1.839644846436651,1.7495568697743713,1.689232704376083,1.7931950298581363,1.7545655988132178,1.6247619768489403,1.6393220506928172,1.7389211360043102,1.5793186090318627,1.6482866027968368,1.530393279218993,1.5400316063263118,1.515508705720252,1.5139226147482205,1.674072685813973,1.5512369082412683,1.5728118234984425,1.7215314034414475,1.5244897304924898,1.5067109831425005,1.514257455458107,1.5109747422830704,1.5402797261778916,1.5525297983166482,1.608430597654295,1.619308989508905,1.7479136591613853,1.7000795025346702,1.6835651537538685,1.6372741415245702,1.598897871911226,1.5499876529369516,1.5376950964583136,1.5890009379290095,1.560580315062505,1.5146027616545754,1.533290626630319,1.533178018317767,1.6269645615932482,1.6886784034672062,1.6104251616814311,1.5489572865408654,1.5398353083415321,1.5446459606122778,1.5091185873019108,1.513138282229527,1.5092464786858422,1.5407592052569439,1.5477182896022752,1.6269702853610224,1.6099999797353797,1.596069028761227,1.5568552139395653,1.5615572297293716,1.548382708834929,1.5637385165953082,1.5036019463444765,1.5249478262273002,1.5417627425342455,1.5782818399023915,1.8178715806145274,2.110047780321447,1.8326176687844906,1.6243613366669936,1.565781764790425,1.5520966408735661,1.523827864970081,1.5267866347752046,1.5213262772469298,1.5556823305530958,1.5832590897058971,1.5485781640987542,1.563065857950904,1.6414673550572443,1.520699559945338,1.584411823414622,1.6198301703890519,1.5879113317491116,1.5255162358994045,1.5242747743171379,1.5643127682661992,1.5604802968708629,1.5157151602510854,1.5167104388932482,1.4846202489253837,1.5797702591671448,1.483392841745685,1.5334684075894847,1.7508221986630883,1.5379289886521432,1.5389529591851971,1.519159993272232,1.46467169358762,1.4919830926866162,1.5773444232909057,1.6615828164584783,2.206948558132245,1.6715267270343648,1.7295973079084603,1.5051903580027977,1.6092453193141065,1.6294750634130155,1.647647180500326,1.729234649978931,1.6986720519079235,1.6769498480394665,1.724114897239076,1.7738500379124091,1.6382407948969087,1.570207497794225,1.6286073044917648,1.6720519833305907,1.6240595832317173,1.5731830036809804,1.7858650907359936,1.7226891261799124,1.6850763932175543,1.6415521076438877,1.7558694663946657,1.7790420485452687,1.7133393464362172,1.762674255530281,1.8688251923557377,1.966363853440745,1.9439158649841277,2.1681051833901446,1.909254667898149,1.9031048706652176,1.9031852106020892,2.103103993808214,2.180311751698596,2.5592050462047546,1.8942190471991827,1.8140440179320496,1.6853869995697532,1.6500631615504406,1.7583067462641546,1.7142335366668153,1.7144547975884294,1.8014818163801536,1.9252347389477704,1.8405845623456498,1.8922006436879513,2.11503132189624,2.1937390614624843,2.3829075925481953,2.014149879274895,1.673543345920367,1.5778642767284503,1.599210684633699,1.624120749807891,1.7376508353917002,1.6906979815613654,1.643222284908671,1.7261093373335639,1.8449519114833757,1.6580120034732022,1.6396810912510935,1.8712766139376535,1.9364349833352472,1.7242489636195983,1.8961028332213357,2.113187985734586,2.0065043226222863,1.8780388062814402,1.9834378589802755,1.8675400468807732,1.8569870733549982,1.7476058730407655,1.76888369867858,1.8338341026404656,1.7270077317206278,1.7140306296025156,1.8025055300732782,1.8380714035238572,1.794715542671269,1.8647613276527093,2.157064851173844,2.082793560466826,2.070197222614025,2.1752970975375043,2.396690770483989,2.395049073690122,2.4176305476550786,2.691281380957413,2.761107506848427,2.5325082336172025,2.4411512874599164,2.115043868908719,1.9939182047947899,2.5304089508437397,2.536856428500624,2.663371091336245,2.620476001324732,2.177055212773657,1.909414367555803,1.7284825829191026,1.6126956394010905,1.6713032458797983,1.5552949152271378,1.5545717824774168,1.8701099383715587,1.5514911115424699,1.549799833587867,1.6293292264311645,1.6627709498791257,1.3980887956779493,1.6790663438589073,2.0316996037546593,2.780948079897849,3.6315660409027624,3.6053349385972315],[1.7355215082640696,1.6514544430141267,1.7638465340817218,1.4135723626857075,1.6999420759964001,1.4516203541877128,1.3887993055527057,1.4455920178722375,1.3362977927733841,1.2877794756160026,1.2728118816528395,1.3585497449518487,1.2891623850027962,1.2465007534259813,1.2632872795727836,1.2704010207178016,1.2697827803316641,1.2538398335703027,1.2823659589185432,1.2428674418838503,1.2565059789135888,1.2921692227700774,1.325718143336453,1.392384047835731,1.3407703892266911,1.3157860846916916,1.293794704836153,1.2745388230902743,1.268776132498151,1.2650926642302442,1.2942981251979861,1.321511877479761,1.3501971718144838,1.302786838869274,1.2846970725022242,1.2622353736697522,1.278372039611228,1.2657756017535744,1.2810464813148956,1.2818480607820528,1.355128911091492,1.2812290363375847,1.2774202306051226,1.3432722787893598,1.4489593687624744,1.7788798584153889,1.8830217688895639,1.3989310715504313,1.7635923783245473,2.0886716609769276,1.5017097005135693,1.620026298152735,1.4396898301888752,1.397032707082693,1.6327577773441637,1.2853072909695133,1.253535700144648,1.353069611058071,1.3970212329462142,1.3639938689403286,1.2540531204874144,1.2712037191558376,1.3015710518674704,1.3731964405190231,1.25522081053786,1.237958922319542,1.4015661296490112,1.2727262278668816,1.3288089859402015,1.3044703844654995,1.393476412542707,1.6163643713526026,1.5193026948086585,1.503918391556777,1.319478694212592,1.5491955573905474,1.2622357708894971,1.3079715330076682,1.2866040810553676,1.3390779972565001,1.2893969690434437,1.389905995545448,1.5817253081973817,1.4000000828688828,1.4124405255249297,1.334188910430122,1.2723919881455221,1.3178815531164927,1.2661600519626008,1.2939586203519076,1.2525724207576174,1.523170707085456,1.3963859664063778,1.3659908050445548,1.319210996481177,1.4108964091792398,1.34775842021002,1.347998698104129,1.3900621870158143,1.5724552152808713,1.3808826240233656,1.566077225289066,1.4253171276357335,1.506062838958023,1.5310918101204885,1.593495644247535,1.660259931236884,1.6839658796427348,1.731295870867709,1.667428703190742,1.619386517353737,1.4484059294384444,1.3996620772122328,1.4022770774681854,1.2962439915145483,1.3015421266088067,1.2905108997714154,1.3100021249149396,1.4041555942915136,1.3012136415660545,1.2981101411831333,1.2827510778921187,1.2772037534477514,1.2798113391155836,1.3593636573438814,1.4252228237818683,1.5461505101958561,1.5274884209729718,1.563327560335015,1.5247063092113267,1.6617398467711908,1.7262334000135955,1.6264940617643484,1.560283487314094,1.534369321702278,1.4747863184787726,1.5274549931757386,1.4938963299946957,1.377315178826571,1.3807962400887173,1.4257825727717794,1.4036812257615598,1.301808143769259,1.3206276921522764,1.3356614682066879,1.295201739108497,1.2876991718802635,1.314235157459421,1.3608513467657726,1.3753906880932039,1.5093763656630377,1.5049382115418757,1.9061600198053934,2.2061447423963827,1.6989269087774208,1.5317184948781393,1.4301776500434622,1.460646030450489,1.3886760023848197,1.4636805958197059,1.4188258052888658,1.3075608194482544,1.2939396211704453,1.30502524646442,1.3998779222009126,1.3951054343604181,1.5070433665344598,1.5860974890312658,1.7182660500540197,1.6150451447630565,1.5446174452685604,1.4460330241433719,1.4169316723795582,1.3366709561326884,1.366264385095153,1.4075518567182477,1.3638134958241197,1.5550434482607849,1.3749773633927405,1.4309790528008284,1.3353537477282353,1.4731394937508953,1.5064031697137608,1.5324239254762915,1.4739935714464114,1.4248268823634314,1.4241883537866142,1.5175944038035023,2.2170357648689727,1.4363246037807427,1.814210466976049,1.57731710773829,1.5164376885019186,1.5576407822003577,1.619224488738,1.7721424945744009,1.7643630260305259,1.7600737136691127,1.823618827041377,1.8676262841092552,1.7682896493329816,1.7228635693128294,1.7638858141469118,1.809425986985035,1.777434608775512,1.7521802156676967,1.9017514433069271,1.8561494790960111,1.8497927899408872,1.8162704795730054,1.8953698754577708,1.901416613209274,1.8683262280499657,1.9310959523598459,1.9952794309737447,2.0715659605481593,2.060371350183284,2.2353793526673136,1.985189161812694,1.983331486274375,1.9865740896253492,2.2429165182022888,2.130493562871141,2.46579947458871,1.9442962434445359,1.8891235064332939,1.8336382599903742,1.7924817998042528,1.8591120499391742,1.8464767855064566,1.8713478330379707,1.8914515840347315,1.971739363749311,1.9356218866067532,1.9900096059291672,2.1533220717553987,2.1945445897739297,2.3470167848415744,2.0673991576245476,1.780284096012095,1.7534914644943727,1.8246937293140035,1.8841338728825074,1.9979722658522747,1.9323537568341491,1.8905616322232086,1.9356951478330273,2.0817859039375786,1.9600841832780505,1.863577958098276,2.0739716245189697,2.1431938286003835,1.93643451243183,2.0501821504833635,2.2701601837569116,2.159666535114783,2.005061760986984,2.076292590264577,1.980293223991689,1.9719457071306405,1.9022416866547602,1.8823353728894305,1.9082776526899543,1.8343512792586847,1.816475802085455,1.8852313216524055,1.9206922264879147,1.891921321491946,1.9302265521898747,2.222311576275623,2.139005137006755,2.1104621139078823,2.1915307277065796,2.4213278630348527,2.435128889234399,2.4492965441454397,2.704043971762553,2.790767595771005,2.591301100591251,2.505312696469122,2.19541597612093,2.0957375888231664,2.588750404122243,2.5836445585131997,2.7083554960582923,2.662967991828509,2.2205224347805483,2.01951776857183,1.8217547885062235,1.7171746578338951,1.8023123625283286,1.7425743010936514,1.730914167657434,1.9023764193134107,1.7182371213502372,1.7526665319121078,1.9280247615444324,1.7259470352897437,1.6310513413173477,1.9507419878583114,2.1647077181021195,2.796831957663089,3.626465369776587,3.43451481748984],[1.528730362260776,1.41244603365118,1.4603952960686057,1.1469276623032219,1.3673228114608975,1.094570978631776,0.9868347615945032,1.0057594007741586,0.9863886767126021,0.9946303879269399,1.0836090798956355,1.1550480047460758,1.0369468445395422,1.0664498522597163,1.2124820314437532,1.1466329492076694,1.0890454464568458,1.1919502002950115,1.285186762461116,1.200622424468633,1.2995281448510496,1.3075673237248127,1.311456296688704,1.381042350157131,1.2595474535480267,1.2628343492189746,1.1604095703494202,1.1010248083451804,1.0994408484906562,1.0746365694647695,1.2793759635601805,1.1771416228398088,1.3111249700104108,1.3383302829829598,1.1943127730957785,1.1535285356295246,1.079054295990101,1.0801899656289693,1.0380603502893881,1.0437567662451153,1.1674089309857598,1.1591890194682613,1.1451747017475757,1.231405077567804,1.3901804840437846,1.7235948995668224,1.853080252267738,1.274974680337542,1.5492402777542638,1.8993051275026718,1.3250747974931787,1.4508868663480092,1.229842412792316,1.1564879260686078,1.3783349427129818,1.176575469979831,1.1445507100164127,1.2266864851774366,1.314327855096056,1.2854840837581005,1.213914757473732,1.3251963245040026,1.4041649865242258,1.4684926631596908,1.325670281529038,1.2945693410513432,1.5133440711058244,1.3718892240650604,1.4618671462671209,1.5082519646743322,1.5596766382099114,1.7745717671918413,1.7630775278529156,1.6890209967017267,1.4959286018529137,1.7404511357595933,1.366934461954706,1.4046194072626428,1.271217346940372,1.2078675230474951,1.1281005474503765,1.0251032562567384,1.3694853030439682,1.0609257525880798,1.052853216387923,1.0062468155404027,1.0653959943086238,1.1312656870463167,1.1722681338323329,1.280926599041643,1.3713878144747822,1.6953926730857087,1.5537185944710623,1.490901832462871,1.363867973498894,1.5571676465272322,1.4382602910812818,1.3169197677376152,1.28750011617194,1.4901720651237298,1.226190851515723,1.2703960290459406,1.0963954860341596,1.1042351102847585,1.0848245454744352,1.0993357387754172,1.2594677962818404,1.2337637051298822,1.2872780952374276,1.3015168732186626,1.1535239868947162,1.0401817207186141,0.9722706743413281,0.9960674700535415,0.9676035382946203,1.017503294820898,1.1119334526450264,1.1093374637507767,1.2786750017548454,1.1570914711536402,1.1677623893725393,1.0921717287400723,1.055668698432006,1.007996444782271,1.0043102359557077,1.1001252701867015,1.1421722968901717,1.1152383072415248,1.1682381083136029,1.116756587653786,1.3169564958426072,1.3618847634612432,1.2725237126494109,1.1561649888638732,1.172522218357668,1.1253376946038358,1.2369288353549626,1.1540045632585398,1.0348177985848523,1.0473705779714835,1.102632028945852,1.1551413567198046,1.1093588005672248,1.0861481526354184,1.0722682049137338,1.0238948446446012,0.9940845497396581,1.0023016657392292,0.9693577475181895,0.9989537976780712,1.0686729380659328,1.1563603003206522,1.52811999599015,1.947105228332601,1.6113527330993946,1.3001285772789346,1.1420858386207131,1.1137253683889472,1.0485703337714096,1.033227440665629,1.0084230969147903,0.9944973136202876,1.023220135631729,1.014351330018455,1.0492939343305308,1.1550484506255112,1.19637033557177,1.357779367842589,1.4855543854752578,1.381827504519847,1.241326591031387,1.1068703954900838,1.074288237096562,1.0106761475284114,0.9885921080972275,1.0053771659601356,0.9955757352217479,1.123774006604174,0.9673914162664303,1.0139089247988544,1.1441437807387205,1.0586971979639166,1.0895481435742036,1.1195681591455664,1.0875826123725725,1.0880641788051193,1.1465349266418834,1.2336477006356197,2.035711307638626,1.286934064328823,1.5745630312579937,1.2240905627682375,1.282648297336709,1.3183897295693487,1.338304920066387,1.4968442381349527,1.4842201225094884,1.4671414170507158,1.545755792846892,1.52891214065601,1.4389434528549234,1.3421396194002027,1.3808205178756239,1.5043907514418633,1.452378893498967,1.3998370905318784,1.6418583872972508,1.598316946970322,1.565978058059386,1.5100420095800018,1.6473295726532533,1.6697188454615506,1.6177065680757794,1.6786655166567233,1.8257989150538136,1.9100043447273545,1.9609268619889242,2.148700500871925,1.8381721223951055,1.8343295625410156,1.8454731570416496,2.169122425483044,2.068921741667881,2.3537386619885505,1.7220009651658874,1.6322893670710388,1.532545320588636,1.4850166148227861,1.6010305504764988,1.5458044112426788,1.5543108460816488,1.6527384538808292,1.7775130407911746,1.6864451875013402,1.744870404995431,2.0204248789248913,2.0950457365806936,2.2282462487323693,1.8468960071608351,1.4552163920190475,1.3773262009409963,1.4594716764413547,1.5031037948928814,1.6792176865013528,1.5837518232847783,1.4962999016227376,1.6247739617509664,1.7526785193357834,1.5945813974733607,1.5314460198957065,1.8125806514627312,1.9085459556357465,1.6466696243667134,1.8124188562538006,2.0769866032979842,1.9577725418813856,1.7947309434959073,1.8974154131454901,1.7669129749720114,1.7390428474300388,1.6116813043060736,1.6229895704975268,1.6946587488383316,1.5847355477271279,1.5540548587325078,1.658419340489357,1.7069347831307726,1.6626844358965025,1.7286965511778798,2.059583022620609,2.014936383737327,1.9793947911028318,2.0741866157524504,2.392223917646573,2.3775603322297143,2.390138998239686,2.6898599413556545,2.797933982837949,2.577540958403032,2.4567249523246106,2.0415143772999347,1.8868832859060136,2.5067975668193254,2.503676844060668,2.6714734810530394,2.606975790313708,2.077312333830739,1.7741279927883664,1.506627931616999,1.3518504332945098,1.4174188590368304,1.274923376688836,1.3374390357949164,1.8600608197286987,1.2730877969962857,1.3546685145208726,1.4665168529215264,1.3395868756792582,1.2360066992335892,1.540792313646905,1.8999876468920915,2.7672071848212236,3.6277780868036773,3.285691987048253],[1.8076775195015957,1.7680941576237919,1.8805830205614233,1.773049557386458,2.010857082486538,1.7658442821207285,1.7681464897903558,1.7255885214268383,1.7408171978638745,1.816924523815367,1.8030606379261211,1.797612975901116,1.8113127951120014,1.8523020086647368,1.862707657997852,1.8443794460573493,1.8722628893143716,1.9058286494957493,1.9333620304373922,1.9052236967617997,1.9026349236970768,1.9185230865416187,1.9948099052732744,2.1005543428173232,1.9903495793420385,1.9911964051637498,1.9770045005005104,1.9275297165915772,1.8842249535180493,1.8160056122626151,1.874275383556767,1.8187469059143857,1.8141970647704595,1.8255253811922032,1.8198107119687632,1.8580607525323996,1.8135869725984315,1.8820446057340887,1.9366900446571569,1.9060786533455978,1.963708503625567,1.9656822480868292,1.9634879138401595,2.04941732344365,2.1498031642554523,2.3978940061527316,2.514774399029149,2.1060166637547915,2.3646731093554934,2.63488941440382,2.2295931357588574,2.1502062076605704,2.057950017693262,2.059043607281473,2.2458125436448646,1.976545608972198,1.9582257782491106,2.0017485275363267,2.0177557432645856,2.0140356931602605,1.9251084770027143,1.8639185222012,1.8713596290573948,1.979050794006443,1.920190935659814,1.8660847055388217,2.0210943888671147,1.9161269315995872,1.9654914127452434,1.9446274408625321,1.9817470078112245,2.1548363664725505,2.0869638704533324,2.1325133153490095,1.9395048614492973,2.1355150542468824,1.8861936604010148,1.879934049377808,1.8545994167680397,1.9002455356304342,1.8263258397431348,1.9356309129062748,1.9849271285753236,1.8440953670752012,1.9658665534644104,1.886885193833885,1.8857251633164722,1.8209131850709934,1.871708212547023,1.8472379303245134,1.862542643722239,2.1066008808072034,1.9649205825316405,1.8919877081068757,1.8575005912315063,1.925034439086511,1.8755701822197008,1.8075575128184493,1.812513613046097,1.87241338812616,1.7737893542706022,1.7421267301097847,1.7687341332614313,1.7419693319063918,1.784785492225094,1.827311029009804,1.8023796800668324,1.908130921302778,1.9303478652517756,1.8018297377028019,1.8360615311599673,1.802098971729517,1.7820038523319126,1.8794701860538852,1.8572145679146197,1.9009267797202718,1.9340311597488387,1.9582158766375783,2.036789327669487,1.9477405273132764,1.9535475711430643,1.9241432936804872,1.9086641569690026,1.8885118577199251,1.8846964492437874,1.8927198017619027,1.8868319414612853,1.8858391648549855,1.8651604859381323,1.8150416548709742,1.9464430726584137,1.9430252383275368,1.9387437050587621,1.855248617933905,1.9266004376316366,1.900830233583127,1.9653040167488942,1.997306404881817,1.9278560153809459,1.9438827564080245,2.0293819024355746,2.011054823368721,1.9337124693426029,1.937293550352361,1.971115540568235,1.9099450998222285,1.8767715660774142,1.8331938445622367,1.7946967687915147,1.7620890625343522,1.7454374878751524,1.7357537712593103,1.9917596936519608,2.273454539818523,1.8973393788125936,1.7530915657469088,1.7543528172830345,1.7362281114593576,1.7836846807693356,1.7650389419510863,1.849055688779953,1.8317813989129315,1.8372862628092526,1.8609244444561521,1.8697501268165961,1.928996604647887,2.0054633189433066,2.1145930855099833,2.208911677311384,2.144076018082695,2.027516593737887,1.9564869773961362,1.8936995014975408,1.798251192983923,1.8240666894594573,1.7747897593112218,1.7923425341578716,1.8984955552743155,1.8054264914786748,1.8067091023493087,1.7310526825454238,1.805259940240373,1.8320540060238881,1.8997590543418112,1.9298448158376336,1.989021326319136,2.036236433011354,2.0981050708178506,2.6898274283572765,1.968258415245929,2.2773914191186027,2.082464109289737,1.9767006552014188,1.9634614738871896,1.9522050898995136,2.0640646878986986,2.062551554010748,1.9974240903694673,2.012044300685634,2.008640243933126,1.8203431141426016,1.751085985097496,1.847823906729416,1.86604330725035,1.7429831189358354,1.7473999401861637,1.960934452840667,1.8215743876122574,1.7300069997786993,1.776322209330451,1.832244798878912,1.7539017731929039,1.7442426195010952,1.8644054520094904,1.8839163631298756,2.006125259220113,1.9351084784001467,2.1688513294018,1.9197527758019117,1.846094532174992,1.8453639460128648,2.212777388802345,1.9229627634937028,2.219901841316895,1.7642181934566756,1.7307975850393151,1.768709213923194,1.7442520149510805,1.7606173837562995,1.7914924549139146,1.8451811432684297,1.8774844554035688,1.9657626669392028,1.9690469865553197,2.0732934330168007,2.243844100673454,2.338990127641759,2.5271058681150333,2.1729905420574913,1.9243951953763818,1.8230644812826575,1.8231269802226944,1.8963945484145224,1.9263786030895793,1.9303554810697494,1.9030218707641546,1.8456437887931885,2.0360840003050598,1.9365096620236038,1.7947309423327453,1.9580898861747875,2.058757083762809,1.8398375130902578,1.8757866719619323,2.089321811724971,1.99968389982517,1.8085534429052046,1.8476907676562084,1.7677899161986168,1.773739889055067,1.7440684099365944,1.7058486834413638,1.7162566736762566,1.7085729742017957,1.7019695663463859,1.7560920918182676,1.8134873753335168,1.86332380682941,1.8603895566929585,2.1417178333050844,2.1716332472254383,2.181565297996004,2.1851527135267297,2.465083420098917,2.506949080724954,2.543762441197862,2.791087365925664,2.895922959989789,2.6070035008657597,2.588640409507202,2.228539587460976,2.147538508281049,2.7149954670141225,2.7353967475199266,2.875354818406598,2.87584890763559,2.345092395286678,2.2051165030017765,2.0060494099325528,1.9683799816899956,1.9364445609617111,1.8202342327526995,1.7355110187633307,1.9647007358139756,1.8205325336027254,1.7541356000895256,1.8402199645034893,1.771528766675771,1.7697154397362636,1.8608873573269256,2.1418758647270044,2.942501959179826,3.912234977338112,3.530583421994413],[1.3127564583431097,1.1804863237799808,1.2436163781648233,1.0097297442204536,1.259231805090305,0.8819170399951037,0.8044346793945472,0.7371592743027925,0.6870435909332128,0.7441664898749122,0.6988074228344597,0.7027385113675237,0.7115347911265293,0.7700538016998046,0.7698877496207562,0.7425421972939878,0.7839736570495867,0.8342586376143143,0.9627992959087213,0.856174092541034,0.905283419080167,0.8966067365935361,1.021391374120906,1.2042283481638323,1.076703089522473,1.0763091278252193,0.9845575542783094,0.9008225778856374,0.7943394299580187,0.7199247711150242,0.8107376448375819,0.7769911045198384,0.8799245566893086,0.8605218655919151,0.7647247785944471,0.7491081608256691,0.7370620192405839,0.7869378810102188,0.855559131361786,0.8169342711164888,0.9660189002951807,0.9037937605988797,0.8912312957158296,1.036499111792704,1.2078113683957616,1.6402518502756027,1.74480232789965,1.1477237103348787,1.5865525714967814,1.9452266114823697,1.301418636259595,1.3133520764621782,1.0679775287691653,1.0427772977673182,1.3203547863698275,0.913348253187463,0.8918966268096551,0.9307937786544278,1.0262375628664995,0.9951293267211093,0.9284691215718748,0.8924600808367433,0.8888796159636245,1.045884370591956,0.9035337051201259,0.8336455544423752,1.0629000812183107,0.8872377040826408,1.0428890689004762,0.9512737733033488,1.1051495296895568,1.3673058711382076,1.1854715546750973,1.1935830373088805,0.9418522425030279,1.3166248146970139,0.854571823279378,0.9041547976353246,0.8054325583662458,0.8367561523503919,0.7512036100957084,0.9004307782905294,1.062323867285795,0.7639653536451066,0.9257929525806915,0.803061356303661,0.7962392210038012,0.7765456614803992,0.771407898754812,0.8425679381811803,0.8543485522833387,1.1480425936767178,1.0137741325430893,0.9611759064466261,0.858917394776452,0.9788200216807508,0.891962070528966,0.8492123842831093,0.831336009783154,1.0844154600909806,0.8400560009211514,0.9468619729255692,0.7913031139227756,0.8237799807329871,0.8562367442664628,0.8670699747857946,0.9565381133305004,1.0121808542089132,1.0771840810543103,0.9382074722405488,0.9410345278133057,0.8323740061305055,0.7771399505205621,0.8933430020732784,0.8215729593165251,0.9370300890227309,0.9567908798896319,1.0401922583091356,1.1156506988382384,0.9769308627740452,0.9942829704961141,0.93543056902652,1.015508372224552,0.9590756400035096,0.9418913972347703,1.0305761325987093,1.0180459737563323,0.9991321651276281,0.994165736101643,0.8962070344612971,1.1119496949000476,1.117435759509125,1.078892939814407,0.9370456687637692,1.045093070185265,1.012278146180405,1.2030530840204705,1.1417671056909855,1.0564451721363701,1.0265956260005407,1.2076406071587398,1.1482268840476169,1.0332378772632784,1.0161146708182585,0.9675408800922071,0.8567629348763934,0.8504629273515882,0.7724549079014468,0.7555085467513049,0.737083638058704,0.778778441071786,0.8170077659462026,1.3787834505790122,1.757067775124601,1.2619103277683539,0.9551919482779929,0.7768869928440825,0.77798697945951,0.7422130601924642,0.7787195528113952,0.8349705051744527,0.7659936249056241,0.8593842432693403,0.8534781869652822,0.9804498546218754,1.0694315249246809,1.1581191822051407,1.3416645027528369,1.4660032567888994,1.3836787883440427,1.2075150782928032,1.0627204916826183,0.9538561256435287,0.7889657687973227,0.7688945087375533,0.7460143793282991,0.7503859068051296,0.9142011573569571,0.754487249903093,0.7940950189615403,0.7629614197486326,0.8212864150275364,0.8942054485501751,0.970966400862511,0.9805999005072275,1.0077736779173119,1.0578847120940638,1.1291806244411906,2.0421765248141117,1.1516447523724673,1.5613282916362388,1.1962201699039738,1.1296406268600478,1.1483250541759413,1.136248626151039,1.2653844725756478,1.287737027265409,1.2135416637859053,1.259719860176768,1.2196994883162924,1.0806567112255094,0.996502940408889,1.06513544222441,1.1724549677544176,1.0861194843050852,1.0548512839872082,1.3500886010120499,1.2455365342533946,1.2011965028620457,1.1682709484993774,1.3143574056292116,1.278551893270436,1.221595342405164,1.375160993867455,1.4614378384907598,1.58260708869971,1.5481353161544391,1.79275809599572,1.4532410127042745,1.4209943798262201,1.4259669387294505,1.9565122459192883,1.6523173025427509,2.0034862268351685,1.3101703414863797,1.2758437414272978,1.2251772655988797,1.1940027849707244,1.231018880557117,1.2251217149291191,1.2665686438847847,1.293054977041018,1.4259444518177735,1.3268226827618883,1.4120645665189129,1.6402368728084762,1.7432449851800211,1.8476929891967941,1.4886197856251135,1.1111434278537906,1.0999457607120346,1.222125253287554,1.3419621306476242,1.5363013130310967,1.4233290477895986,1.3061789063362659,1.395290299310556,1.6507736629501857,1.425409571120693,1.2388034824298204,1.6063557823550234,1.712057913875431,1.3381260449020478,1.539921923774833,1.8503128855076227,1.6630274458968186,1.4407005722110662,1.5672661891088533,1.4032231503172163,1.412847234226793,1.3051833884566861,1.2837710548963572,1.3273761847791736,1.193808977548642,1.1750863112813392,1.265958674302624,1.3182910037296078,1.2810189735469388,1.3274669576583855,1.7056560742871432,1.6602802642853505,1.615885674601734,1.6908727296567396,2.0344416769554496,2.0413254190251644,2.0953778243274384,2.3853668562011907,2.5340889610303106,2.2836530005580093,2.202410373347307,1.7553221663318328,1.6520767809002026,2.31564972023312,2.2890685779890516,2.445537691121505,2.372662287840899,1.7826550726539294,1.5561750483212848,1.248951846426481,1.16709805302722,1.1835527659568386,0.9937399859347679,1.0252084852430667,1.6140682185771469,1.0040821110501292,1.0551166432646113,1.181057073958009,1.076845754741504,1.0215244778746302,1.258317479534293,1.64764641751184,2.5942766734491696,3.8117621830140505,3.576555269672014],[1.4230119357062032,1.2299830218666084,1.2725404081525737,1.0229508277523391,1.2795495084299509,0.9136558051422228,0.8451026414117446,0.7677439959020509,0.7263319646865588,0.7409208412415377,0.6598378110094868,0.6469761748466577,0.6796639913357027,0.7007511879870983,0.6886096902146958,0.6713284637095555,0.7353167674765845,0.7634386314789748,0.917405492189515,0.8000703702443461,0.8121469817229826,0.778930723609896,0.9435235765509581,1.1545749716575655,1.0862803776268328,1.0498137505513796,0.93104978496336,0.8699960770935481,0.7450104493074222,0.677671368443295,0.6961174395725039,0.6803429112363008,0.7587114006891995,0.7378789985054991,0.6710854277501798,0.6553806108303862,0.6616719317188055,0.737141304506127,0.79731789313699,0.7704574699670784,0.9495809941074191,0.8095815755326768,0.7916644358487521,0.9416667406020532,1.1165578389233544,1.5963521540171648,1.7032085669816965,1.044527125258241,1.508115684967683,1.8448278612993159,1.2384648927299111,1.3210974579687655,1.0783056998318257,1.0232247972106931,1.303804426804472,0.8528665758436934,0.7853704304707549,0.8572565338526771,0.9886150137867713,0.9015082682157227,0.8434320540851625,0.7916987703515972,0.7943827671057122,0.9508153268958276,0.7987653462351766,0.7291998935248792,0.9507594609452039,0.7976387172340201,0.9506592402533864,0.8728666776321864,1.007513773614221,1.2788685695336532,1.0894255893863845,1.086126142267238,0.8134604262326751,1.1869710643968623,0.7256422181338604,0.7786932676984126,0.6945817877457693,0.7735891060767507,0.685376114995641,0.8859477012514511,0.9868935533325728,0.725632069331555,0.9300163776206931,0.7736990244787935,0.7389985339575332,0.7073223104531579,0.6725174055249081,0.7440340826010405,0.7366942677476407,0.9611844302186264,0.8555104208479204,0.8048399264252025,0.7216505466157046,0.8233269501480159,0.7799714604845909,0.7022084522848457,0.7051048478516363,0.952369918409031,0.7147916328189611,0.8641296508865429,0.7205597712910379,0.794497620543292,0.8578469393251893,0.8760524466036186,0.9666345716480069,1.0485430075894866,1.1218703085204256,0.9600915546141672,0.9803334545008728,0.8665562179079441,0.8031556147704567,0.8908386473813812,0.8000991114009736,0.9227416606905391,0.9410257352122284,0.9825520483435856,1.0421152054447715,0.9086100800125935,0.9271285544216455,0.8692651149207185,0.9525404181070765,0.9313065176234535,0.9489216598184577,1.0646867499353097,1.061195309533164,1.0256310880154296,1.0066813847194895,0.8905380233609524,1.1114105889927572,1.1177403778184296,1.0743293552102544,0.9332936528556878,1.049899711401572,1.0250816420987559,1.2232721121352652,1.1209242203786243,0.9783682319527667,0.9693543875553727,1.103791186183231,1.0654487549869096,0.9915197128395071,0.9866817084657054,0.9241134616535239,0.8192925164611792,0.8225731553146703,0.7496445887695697,0.7503205046000598,0.7316233695839515,0.7636651420418804,0.7893421371863673,1.3739550964843437,1.7106890349592139,1.1832538567216566,0.8852275497389435,0.7108824827673704,0.7336029473614446,0.6929076248905345,0.7560371565355011,0.8122562068214036,0.7352191867872767,0.8475564275773568,0.8486856143029483,1.0023539562854218,1.0520298594448882,1.1570275487525372,1.3257778138365741,1.4395484909336698,1.376452780831211,1.2052478118564727,1.0475616084850985,0.9407146454806153,0.7667916179086935,0.742208174706072,0.7410172509801074,0.7282769197143973,0.911724378501848,0.7460558853856915,0.8009648867535295,0.6787309305299807,0.8173268653475828,0.9008900447349752,0.9725757972468548,0.9737714637336361,0.9469930931486483,0.9839692787305023,1.0910151304433182,2.0431208609780187,1.2146712543527312,1.6127473325222443,1.160660886732838,1.13767416201506,1.1696586769728519,1.1303206590582546,1.2294195120651414,1.2702804396254392,1.201332270102827,1.2313005849701666,1.206924299779696,1.0660929892220103,0.9907573226872517,1.0698899552428716,1.162523468136755,1.068052726347407,1.0540543281305017,1.3439879708494615,1.220635259192033,1.1664807174869816,1.1637830352455496,1.298662581265618,1.2268116737418742,1.1851413218881763,1.367315491380098,1.4234289743170723,1.5423570947663294,1.4825541152333772,1.7116265194603546,1.3882600444428397,1.3385661479453945,1.3258880681254024,1.946041898087639,1.5191016619700812,1.9185357871431434,1.2517672199652055,1.2354370180086929,1.2165929408696203,1.1690754065829372,1.1885570805690941,1.2066171616239434,1.2571323060691064,1.2622719504387196,1.3883464309729103,1.2905028938159269,1.3858334072500977,1.5712518377688987,1.663686705616506,1.7606499804089393,1.4300346514269833,1.0881461755786603,1.0887105096520981,1.2236737163553177,1.3267597433463132,1.5225844361321903,1.3981319834527193,1.294848765635546,1.3673788875806605,1.6104757088473094,1.4142101859069482,1.2308375221243484,1.5694909328574191,1.6755680141180982,1.3054096377636872,1.4708656011845522,1.7743043390050042,1.5942536360104604,1.3680203555933548,1.4771458173123906,1.3296131628088117,1.3442746557103475,1.2594466509410556,1.2319267512813443,1.2567327004834095,1.1501894133251283,1.1375825339053032,1.2028302143013363,1.2620481165823292,1.2347029024926994,1.2478247615993885,1.6280303909460219,1.5928007577175327,1.546725372360865,1.6001990373763795,1.9424964328874876,1.9368631312683027,2.0052519432895073,2.250658071921845,2.3991300570307406,2.198362407196483,2.126132130294631,1.7072022026988367,1.6474171274357252,2.2790413114488697,2.228583395362959,2.3553042168870295,2.291695369123452,1.729217594338419,1.5489261828424623,1.239907478457539,1.1794828150579435,1.1971255975202748,0.995257417098292,1.032490829738355,1.613297971684785,1.0403822605508843,1.0749919297106676,1.2018099094379795,1.1463175322509562,1.0709746927501842,1.2875189983580104,1.6914454170565474,2.605770008867139,3.89431342771319,3.5978394629544077],[1.1223488297643025,0.8831879906248853,0.91523947881148,0.6616512914749922,0.8722517698606322,0.6656213569746263,0.5845425971143272,0.6636260910465449,0.5675515188547063,0.5279171692679544,0.5483865905597799,0.6916682476972458,0.5678327833396881,0.5216408819212404,0.6337395433615803,0.6235184762351023,0.5660737223901285,0.6393178002432672,0.7534900330051815,0.6610749915421598,0.7647427485318904,0.7476451222200563,0.8671251479068474,0.9619314923597266,0.7913185249920593,0.8044514533007779,0.6760567319805905,0.5951833229379674,0.5765891610680728,0.6000085149853972,0.723345404524699,0.7744816167953404,0.9353825195821985,0.8905096437988563,0.7566732860965382,0.65687712785213,0.6896166147528363,0.6053925683955396,0.6022723834287005,0.5926448285127243,0.6618572041420738,0.6774898697859717,0.6714381164845244,0.7717545118638327,0.9456855028665659,1.388520305589516,1.4917732933740155,0.8656035132628591,1.3149376744936845,1.6012210844665125,0.994506906997851,0.9977652031357781,0.8521529716501164,0.7378698946340355,1.1865141683505236,0.7861108771130275,0.672557795920402,0.8266454548749733,0.9743813572098583,0.8470946811684266,0.7774943245021075,0.8119532518517563,0.8487776477334138,0.9529178236082736,0.8096875261624356,0.727048038704437,0.9522032457170303,0.7892745387022244,0.9508334076724538,0.843149889161647,1.009652302826023,1.281954910091961,1.0801680477892333,1.0917100975057008,0.8744245077987546,1.2914867375650922,0.8173909413496983,0.895715972868177,0.7822461415776578,0.781746868051177,0.6962324077183744,0.7344450277839225,1.1013459772972984,0.6457518061418948,0.6716899487370243,0.6261856195937447,0.6506117094560745,0.7486526137209503,0.6862010297991392,0.8540050221528874,0.849757194573385,1.1120571468125515,0.9863359241603593,0.9584570187269599,0.8357857785086082,0.9592376439207416,0.8536367908558867,0.8915918200882761,0.886194481403529,1.2095960831149617,0.9228543268690004,1.06701580293802,0.8459228422114669,0.8500228259097207,0.7741529914705342,0.7710013847556949,0.8755202360736617,0.8079662699813072,0.8744947159155813,0.8702143845702548,0.7576029536299643,0.606229175567808,0.5871325404004978,0.5971188984432033,0.5340809806261655,0.5468605262929683,0.6086022377551965,0.6011691952511118,0.7947609355426113,0.6950969280498432,0.6377134275557964,0.5687477782088569,0.5972213193073792,0.5610467781693386,0.5978034987941868,0.6677552734495054,0.7280750703396972,0.6926102005630977,0.6936075035285229,0.6705537804251341,0.7493471468069991,0.7927259268879022,0.711730470694018,0.7192419125563104,0.6948936666383095,0.6772582974547942,0.831623537465125,0.6948065090875934,0.6031715301661569,0.5844806273608355,0.7319964015691035,0.7631182833029395,0.6970137854243633,0.6268387508759173,0.590044416774468,0.5691199581812895,0.5286341710511857,0.5636989639333437,0.5898738681176823,0.644152374700844,0.7937012602000072,0.9008182548081278,1.4830849173325453,1.966484365907664,1.438083256619867,1.0928701676746886,0.8474947468473808,0.8453952465193072,0.7240302897323734,0.7331730759240616,0.6146022591524721,0.5642516821464362,0.5287350649631285,0.5458607950876917,0.6148007943512033,0.6948179795281129,0.7308497710713089,0.886186497018429,1.0065215711937057,0.9347482281597141,0.7883363559863914,0.6501475214381228,0.613680169984631,0.5594552959296997,0.5902582111684139,0.6638565979866954,0.6719646551232751,0.8785337657060444,0.6311000182624649,0.7100496786521171,0.7549423919877964,0.6469953906920701,0.639224313330061,0.6576723692378298,0.6437023714981254,0.7684590613723404,0.8762144990845895,0.8964348251753714,1.8807766260973564,0.9434176229858451,1.259015229870999,0.8366580814506852,0.7529834766302571,0.7842221181870046,0.7486976978289868,0.8395453799557924,0.8732397303087603,0.8305355421394005,0.8814211580955829,0.92673073472511,0.8338775203540082,0.875523654062521,0.8362866246815913,0.8730953493455597,0.9078697068292843,0.9025836958176608,1.0557488989445718,0.967944912688037,1.112022659129229,0.9633527386691152,1.030222820510496,1.0986655908576737,1.1108610427343166,1.1129168053005492,1.18495093110524,1.2263475417864702,1.3250370852522235,1.368552140957178,1.1116229507582722,1.1641660948100323,1.144968737782351,2.0463881409689693,1.2766075435113442,1.6804607339257542,1.0993221811586094,1.1511664452346917,1.1882298679878849,1.1100176383652989,1.0476813901310964,1.0128657182139142,1.1214996952556788,1.0382907937847705,1.1110708461274843,1.0171295024741216,1.1774610262059528,1.245748262100691,1.3522299504848319,1.576833933946073,1.1632360633118928,0.8682440157855285,0.9477919406724699,1.16917912837488,1.4064563408399822,1.6074276543123251,1.5299765164862298,1.3658574182836638,1.4608162922353873,1.7439604168867235,1.531541927107497,1.2865459615853667,1.6837547907704573,1.7913688708640056,1.3721251973435125,1.5411893514422048,1.8755396731267358,1.684245145280564,1.3951489519118048,1.5234824045355044,1.3276531030889283,1.3687449864293308,1.2839245877382546,1.2295546456460467,1.2002264391715776,1.0306077806882823,1.0078105961420771,1.0295418768263893,1.0526038803728417,0.9583687750746815,0.9859938474098264,1.342005737071085,1.2592648100078725,1.197808499848022,1.2632213530835348,1.5725265830251127,1.5624537339015871,1.6141529310810474,1.851248404469977,1.9822367361461017,1.8212877767992688,1.7042061642635724,1.3292328848456074,1.2496919714702097,1.82115238569529,1.8032376924394815,1.9423839643256726,1.9026098346838611,1.3773515993013226,1.155638430052219,0.8929867420831984,0.8230262626384462,0.871028034371146,0.889753885565055,0.9591727728049726,1.5528491002042475,0.8525367463580772,0.9424259983571432,1.1560830706454723,1.0159812177207332,0.8876289869248315,1.2146353488456503,1.611860307970298,2.772769521142306,3.972544857721565,3.673072192197878],[1.3383211431223765,1.0845177492474516,1.1388245642730297,0.8054456635020562,1.0409934265061846,0.7446526291339404,0.6751863330592568,0.7050184656018442,0.6189488360073854,0.5957225750787508,0.5920186267579419,0.6899357524296847,0.6052682645361812,0.6005249783955904,0.6957551369599126,0.6838022470533013,0.6245848933052014,0.710263744635847,0.8421475925356214,0.7499770302565107,0.8801376510919715,0.8496510904699616,0.9699005985658836,1.022606462276645,0.8579726405786988,0.8758344096718895,0.7531529022948027,0.6744713539566042,0.6428022492860238,0.6582522414596832,0.7847584774371025,0.80776028383559,0.9620120694211012,0.9529983032268892,0.8021001409382053,0.7242023284528999,0.728529418515655,0.6702088155422254,0.6523232625235905,0.6304128838648708,0.7041225354312004,0.7550019675384236,0.7525733448813886,0.8320258562218683,1.0008741185738028,1.4115418906838426,1.485354070414369,0.9266099674099343,1.3948576154996588,1.6436186293198995,1.001419637445055,1.013274905087409,0.8399028010600221,0.7424018767194217,1.1693415840750367,0.809824464912553,0.7472593589007585,0.8494822006390175,1.0108117539909551,0.9002259338577939,0.8544216482746485,0.9006887827447106,0.9318407874931772,1.0537819855254338,0.9191890989929934,0.8263194781355646,1.0496044708122096,0.8864262060874354,1.0704188282456173,0.9333766683549316,1.1373559531773483,1.437325899930302,1.1843274909164212,1.189592903880041,0.9779015665036432,1.3924528065813337,0.9131200624565216,0.9957757828248183,0.8652044022049427,0.847515364020732,0.7493461391320989,0.8013883064442335,1.0697716715554442,0.6756840023122692,0.713812258422289,0.6713265793891433,0.7006850191562193,0.8001326634626151,0.7580410791462057,0.9253566403946052,0.9262743657678864,1.2014622966514108,1.0852570834824802,1.0290331110841309,0.8871117084635709,1.0096834203882954,0.8823539475622778,0.9141087521730333,0.8798738748524713,1.165319342862669,0.9143991680545828,1.0420627799040107,0.8511846812496284,0.8406643737286532,0.8045034000369241,0.8065726636296329,0.924893469334777,0.8949523664573997,0.9755328907629588,0.8694211601722414,0.8273420589799232,0.6731294566327806,0.6583714312049594,0.676208348720675,0.6052581574310115,0.6453037105903879,0.6942781925893858,0.6815569122269364,0.8730330809985056,0.7839856628420709,0.7125538954951348,0.6632990650996788,0.6954866032470816,0.6801293220682152,0.6979790366386097,0.7856185032256623,0.8406115518893699,0.7988616371188975,0.8038042207339057,0.7535356407771808,0.8760379954997284,0.9136011958298569,0.831374748737351,0.795269913465617,0.8076767828118239,0.783999222002205,0.9792125041371186,0.812108078522541,0.7105839043628295,0.6874188418529407,0.8179815981811727,0.8337692324704291,0.7887980077990763,0.7216553542032182,0.6641734022068496,0.6292348023652103,0.6060939378946113,0.6019290421640434,0.6386195573539788,0.6772518112279967,0.7873747916265855,0.8538640987197305,1.4093823962696042,1.8526772424195672,1.3629766054142054,1.040034816460701,0.8310659093596169,0.825230327976291,0.7338184303626496,0.7484471009093291,0.6723760236364721,0.619597780648784,0.6244016528323416,0.6296887457389811,0.7248076883858864,0.7823506287644132,0.8426108232955469,0.9962438178259906,1.1278214212040998,1.054591550936809,0.9121520103385451,0.7565572094741678,0.7062067719463607,0.6232440329725928,0.6389542433919317,0.7056167155994426,0.7233608292571779,0.8998134873750931,0.6901509821987462,0.7412597175008245,0.7582850035529828,0.7010593030429494,0.7212445791600646,0.7483634215381759,0.7381000119055949,0.8443796372474328,0.9398188053058756,0.939185863931101,1.9295033321827537,1.0093054268261525,1.334529351231828,0.9059345542949535,0.8574953844215488,0.8953317368480601,0.8712130032584227,0.9635268004844714,1.014282478513228,0.9798790510469666,1.031812429667161,1.0488051179125297,0.9528939672886222,0.9541222151399983,0.9555455571084702,1.0201381873065931,1.0090314547272092,0.9982558170649545,1.1874388495629784,1.1120123175149017,1.1636933776574268,1.0805656950096678,1.187838343214669,1.1761149197715621,1.150884751958141,1.258879844400565,1.34289380119549,1.4260290491069718,1.4322012578182697,1.5865225532549472,1.2833766492610645,1.2825924200335528,1.2629842634437807,1.9568292041832211,1.47520677507677,1.9290014782087146,1.231476101302838,1.2412905737016267,1.267253731778065,1.223122651255088,1.150879650464941,1.1603438181075203,1.245886535921406,1.1820128470746025,1.26671105463667,1.1551089147199658,1.281981751313769,1.3892683275577549,1.4909345388677704,1.611866321805916,1.2767757269811977,0.9758785665091697,1.0606145546058459,1.2678511751679995,1.4501910468061159,1.6687210356882491,1.5560635540674288,1.4031675100523233,1.4964441168101044,1.7776780214608083,1.5631577937113372,1.3167599787586666,1.6835703439581182,1.7752422577385893,1.3675112086032564,1.5407657092131035,1.8547239317781745,1.637009586648463,1.3912727067143946,1.5219070855250587,1.3541811512598596,1.3970944834668235,1.3205299653039733,1.2820392551112532,1.2708258503345524,1.1222833537595125,1.1086539155350115,1.148890266020292,1.1844977682161728,1.110762530361419,1.1462099566025004,1.5102893386315102,1.4442322792874178,1.3674574674232336,1.439075282036991,1.791192393362439,1.7735446535815786,1.8263311260900306,2.08388185337052,2.2217505704114453,2.0470388959473222,1.9469645195363774,1.53096181301519,1.4654654653420929,2.0698739041845458,2.0198960617585584,2.1551509251847816,2.082379141158742,1.5384622750833628,1.3295942253854947,1.0390611472722013,0.9687413385282164,1.036630989933213,0.9556738547154542,1.021937085598045,1.639350960814702,0.9438654856432753,1.021101022900027,1.1983951485225508,1.0823810272214223,0.975626542838026,1.3158002516389296,1.6909667350255364,2.6356842160215086,3.8746986032379938,3.6468888135622772],[1.8582470381163614,1.621558166216136,1.7142564311579938,1.330227717008751,1.4780500814580044,1.273968917709993,1.2089172068527527,1.2367107994519928,1.1262422150667564,1.0670736016948286,1.0169686060361571,1.1007976536872164,1.0403662342887205,0.9859997744501476,1.023836961993718,1.0406377022629594,0.9953685508150124,0.9984559839706736,1.0268850161381644,1.0162674833691967,1.0163748144399476,1.0013885523926318,1.0768148230798074,1.1005531566706293,1.0944642163415843,1.1008854859399368,1.046530305845796,1.0308310274798964,1.0030137583575365,1.0485311393810248,1.049054308542251,1.1227869059949869,1.1669153732634787,1.144533484805796,1.1014491419496948,1.0344285603542058,1.1080317080080935,1.0510813230347436,1.078446154287395,1.089807538507816,1.099440995980616,1.025589480744185,1.0112107363710086,1.0809778842853837,1.1871177928158634,1.6295673693584949,1.680042247165003,1.1955638018487758,1.7312458357758247,2.045540401058028,1.3833817904588832,1.322669007130733,1.1994825098450346,1.17938468569297,1.5240655164186843,1.118742086133168,1.0363701348035264,1.155466932830016,1.273410672877078,1.0314123929837342,1.0516461606328447,1.0668301848186015,1.102714938844425,1.1427433836303433,1.0325957307867009,1.0002945192945483,1.1360863890928543,1.0325581012180285,1.1592931118295535,1.0912567755599523,1.2087611181840145,1.4290045074149444,1.3236299813385501,1.2735203351772812,1.0864684834707679,1.4387600568523777,1.0378535886709324,1.114211003139101,1.0810740107264702,1.1283100338858825,1.115373795590497,1.2130546554321404,1.2720937291632632,1.1112811055713032,1.2092862380711826,1.1292519845694602,1.082428686509191,1.152262495564456,1.0518725911445868,1.1427023398408171,1.0821369739877489,1.262613409423157,1.1765485986957869,1.166349602524476,1.0952150758504027,1.1506540218330554,1.0882691953832935,1.1371268132502765,1.169965955705913,1.381418334090069,1.2272421467068109,1.4123307968873022,1.2648214870170706,1.3114065015176415,1.3393002046319193,1.3550180460047798,1.478597775726705,1.4271522533354966,1.478656475503842,1.413315954713245,1.3779123277350833,1.2528816324957726,1.1914137447716682,1.1739025453593273,1.0671732090006079,1.0673912748985686,1.0597721962196194,1.0227612318973178,1.034135857904406,1.0235359640010133,0.9810192619032851,0.9854190056657802,1.0312229928230885,1.0828904886959971,1.1332142881093799,1.2213063663404995,1.3178412486211848,1.3025615073106145,1.349937810686112,1.3241286859345986,1.38640325844641,1.4380958857699329,1.3594499671440656,1.3660428908037647,1.3311907329365689,1.2831779756892423,1.4154662205021802,1.278853860566948,1.2036631435058167,1.147878624057502,1.2084363956469895,1.111160719872192,1.0279740903894754,1.090751816555791,1.0616635832187489,1.0597917867231377,1.0652809393684899,1.0938803651996178,1.174590530835966,1.2081852254721572,1.290248489568323,1.3251135015579887,1.7139444854953123,1.9337587577608448,1.5565180100268825,1.3997282827889712,1.2545334853397467,1.2764842795996112,1.1980984102590984,1.2682730198564258,1.1978627142296387,1.0870722653896838,1.106153186518824,1.1229334719717894,1.2362071237427465,1.2438270789210142,1.2878258791396753,1.3564301542748614,1.4852267505395147,1.404914232969936,1.3454433512934378,1.2419707312912394,1.2210624898792444,1.176572149088194,1.1543399195483568,1.2136804273520034,1.1829773982053051,1.2945322527787344,1.1720631991693415,1.2320460281838816,1.2145846522906854,1.277065904633272,1.3015438831940243,1.3013327764513773,1.2669881307998356,1.2720135876744125,1.3239071749503784,1.3477910761875067,2.0616026168328356,1.243423752420159,1.5544836320966358,1.2993304979015166,1.2545238026652454,1.31621854225209,1.36719163158638,1.4319710922814248,1.4748484783575728,1.4810265186648908,1.5056526090775644,1.5090139376863347,1.5154510408253075,1.5360314554108436,1.4924876980342083,1.5483096954784896,1.584800758661324,1.5762151049794362,1.625869860738402,1.619753876528677,1.69332480852575,1.6086489777390502,1.667720392316592,1.6541906721565398,1.6362395852344835,1.7072129346628049,1.7523742049152518,1.8040248136718278,1.8146091187524604,1.9222960940379328,1.7118369389030055,1.729190073528181,1.7153133965426974,2.197268509335283,2.0484491365532476,2.4558316638677584,1.7657946584221953,1.791797112815873,1.8147363554061835,1.8016324700520372,1.6987737418169537,1.7563233532813078,1.838795713113475,1.7603933412769692,1.8027045367801744,1.690284644526201,1.7615716723617856,1.7444410161711552,1.7508890268707482,1.7513488963570114,1.6201004020375085,1.4894023277512856,1.6360164360038758,1.830411177972114,1.9364589562330887,2.13090724198813,1.9989963979363243,1.8859523509474758,1.966362557963742,2.204721195478808,2.033189868791037,1.8221995476284203,2.1087340423824608,2.179133625758302,1.8478347546568152,1.9761807784823078,2.2126273978350453,2.0382988977562535,1.83707487185768,1.940395077535711,1.8227687454548764,1.8686618334567486,1.8321314881664879,1.8064717462917665,1.78205440550609,1.6625165271817743,1.689589635772446,1.6625504508054774,1.6575968158300798,1.6162897134279974,1.6531815382035822,1.8408297111035217,1.7893971557916986,1.7430451041426671,1.7971320614570099,2.0303093628315128,2.014830414313257,2.0490041701865356,2.2212046536526104,2.3382206882551415,2.2831459946344324,2.156554659810157,1.8480170710093158,1.8288333114473285,2.279335725457373,2.1993726074639803,2.280669288238551,2.217508564946376,1.7983579512756187,1.679102151860244,1.504810096560716,1.478992891672213,1.5562380281659094,1.513028764327591,1.5895817575573876,2.0468133711610736,1.4969718017296518,1.5919356928099775,1.7022145432478373,1.5602714985778454,1.5713825841589801,1.819334317462777,2.042287693916261,2.7426424214557295,3.9372069977835307,3.8380058352737674],[1.364194862646756,1.0684968947351179,1.061824069085215,0.8374455497306192,0.9815999623366825,0.8053403432286137,0.7365608652364747,0.7837900100713271,0.7163499618319157,0.6906885166276258,0.6942796119688214,0.7890881837910849,0.7203728769061999,0.6786110290876564,0.7985074943175534,0.7755279204690577,0.7205050135477158,0.8050406519287471,0.8780625470059469,0.8250435185462541,0.8796442326312093,0.8590781638034405,0.9549265714062827,1.0174095578319755,0.9281662191396765,0.947315514470429,0.8261394544295204,0.7809006936167457,0.7383688266795357,0.7677557905871945,0.8216727763295943,0.8527494923112641,0.943596498278306,0.9274426633036101,0.8363455580206242,0.7833402092122622,0.808764064400115,0.7814107361128275,0.758605967657992,0.7528149329684753,0.8133567013129898,0.8215341568825334,0.8168869429408167,0.8688536965302714,1.0212117623688024,1.4903002239000431,1.52969098207987,0.9645478684074518,1.5470074491241348,1.7517035235406826,1.0798817888075676,1.0256724493949165,0.9198508626696787,0.8494698702689089,1.229950020722662,0.8644274843596432,0.8162086689422895,0.8909685628982652,1.0305144088130462,0.8596393861802686,0.8642388836702148,0.9214646157061187,0.9438690841082118,1.0172900879569982,0.8912912245466009,0.8414750087953806,1.040395386216014,0.8906939756494134,1.0506489290912853,0.9658342368783158,1.1010496372024052,1.4026743404633526,1.2247240805770572,1.1779096845568042,0.9406930697427481,1.293451696537028,0.8767887942622387,0.9431281468708868,0.8699030198238071,0.8933313270661728,0.8338564044796604,0.9561791465596393,1.079782623941136,0.7641811635626714,0.8515628789349873,0.8088719860628445,0.7967689607181131,0.8745865920113057,0.8110273343822271,0.9229416635779099,0.8922044375069148,1.093944684729213,1.0046044678476063,0.9705620908946083,0.8797270278895961,0.9577371985244819,0.8856554735875665,0.9097902143346022,0.9073129765774652,1.1802248843560006,0.9575311092845598,1.1051911499410934,0.9392477476833406,0.9273776493146287,0.923963720385293,0.895579649095945,1.0314471986432319,0.9035583295916755,0.9382887088414411,0.9681366245267582,0.8422198155360991,0.7559673489705647,0.7358200395312907,0.7384444154968304,0.7035488008763675,0.7434103856776992,0.7882849561620829,0.7458901670786091,0.8374291280143453,0.8192601447734137,0.7773442433908232,0.7369136705101655,0.7484030533976394,0.732344718708101,0.751108492619211,0.8270684860080375,0.8418882583577407,0.8084606884656366,0.813075415583446,0.8495621857737905,0.8609412928258583,0.9131703587822042,0.8457227017067961,0.8901664029996504,0.8583986969087346,0.8432361196847771,0.9214850988501465,0.8163361205549915,0.7599644200485209,0.74129963193126,0.81854571144937,0.7958823642891969,0.7962604344753155,0.7990938673991129,0.7328892732632062,0.734582642294464,0.7143949120898619,0.7418976617876194,0.7460924742592698,0.7768598354966381,0.8744164219396807,0.9282571287802948,1.4265406305729433,1.7633540345312135,1.3215815932026955,1.0782191918328288,0.9167852468372659,0.9256555900810777,0.8442184835355864,0.8618396610194633,0.7756056816526729,0.713904766851668,0.7366985807435715,0.7527505589064185,0.8244756723137725,0.8553982053556367,0.8471922643627907,0.9462310081079239,1.0464883951846065,0.9884992735081534,0.8764208788823316,0.803124119853245,0.8099157200640893,0.7842005898117769,0.750487324667144,0.8161255560993561,0.8231755138252022,1.0165326204749203,0.8015914225810487,0.858664174723806,0.9159226780282409,0.8404309199687205,0.8502442812745566,0.8389642892908034,0.8183203596149905,0.9393738681313453,1.0197888002266908,1.0421175777922609,1.8699027193772004,1.011212711161668,1.2374586231947975,0.9012767420086726,0.8666121585990628,0.9220269479373956,0.8770253205482822,0.8725797095452077,0.9395205401028078,0.897131759357421,0.9109568278166592,0.9413270405752053,0.8977166786378223,0.9694992706414335,0.8968522773865905,0.910981445184613,0.9663781635285208,0.9528848783752406,1.0417779462828562,0.9709651887470043,1.1159058588168578,0.9541363145209861,1.0094841964341368,1.0230238271879186,1.020161860715818,1.0863146223169944,1.1240855397655234,1.1954899730311506,1.239905831839495,1.3277261815776202,1.0691475880647376,1.1002496467165603,1.09728285833862,1.9818122341760263,1.421949807228371,1.9473498900406543,1.2068048240968754,1.2887330696059796,1.319972395056716,1.2963396765339643,1.1403075679676609,1.177169477892804,1.3002993504678768,1.180813302333935,1.249835985316296,1.0914601951144398,1.2242362678597212,1.164158874757706,1.193602770309194,1.3891397647649104,1.0762419740077542,0.9224051794916143,1.1074071322350894,1.356662437793315,1.5567422357770093,1.7885693999912076,1.6704632321258417,1.4842647836441187,1.5816363799092483,1.8625181019125723,1.6565029416650625,1.362250870891931,1.7442840553090537,1.8201818775824539,1.3545686116984799,1.553076152931714,1.8648051652487068,1.597488533343393,1.3306537147819484,1.4797129644007234,1.2991636130291777,1.3914148938753428,1.3503542812284581,1.3145452262469293,1.2378710591566786,1.072691302808536,1.103922611120507,1.0530588789343478,1.0409113354481065,0.9742604024423926,1.0086162002260362,1.2208344798378672,1.1649395357456318,1.0896809902117346,1.190545091448577,1.4178423841276095,1.402329345517266,1.4874221194284811,1.6851460515896384,1.813910384769047,1.7318996838559526,1.615606046881012,1.2853595116216205,1.2744984108770272,1.8057782763982864,1.736744096887156,1.8254716298281959,1.7728956268783624,1.2625328383167906,1.1497067900405582,0.916011184074819,0.9227485951492159,0.9822832106721496,0.9399957285075139,1.0347500417655575,1.7545610026744793,0.9264016991113352,0.9840687155867318,1.117283098357891,1.0373096509608952,0.9928836640882295,1.2664269482195876,1.614730089291842,2.6007038011307424,3.9590592047948596,3.851116510956407],[1.2610887448929682,0.9168757486121871,0.9109308675723298,0.6712490477493996,0.8067132226468583,0.6557672787534119,0.5834954149639664,0.6454017878265815,0.5900298155242785,0.5816321635626888,0.6058025171208029,0.7378130876686124,0.6323536603514516,0.6103175135412062,0.7863447638684781,0.7616236980547968,0.6937174072583913,0.7848991626500167,0.8880775202681117,0.8209788281817667,0.8997530969691723,0.8801989430642783,0.9849749987251484,1.014366982896189,0.8868516255205549,0.9128684620756669,0.7886161838879441,0.7227783487579894,0.722092301183163,0.7438404991173859,0.8521401481557797,0.8602584021047504,1.020284319519823,1.0216946829085263,0.8920570920189942,0.811460829793009,0.8068734182568719,0.7511020822217943,0.7173201253152892,0.7390507746125021,0.7528443408924641,0.7827463190946744,0.7811202151776623,0.8329260099774624,0.9671495450301735,1.4128465110048225,1.422799937438473,0.9274088183614855,1.4882215407216468,1.6650600735802725,1.044379802584784,0.9791875371123543,0.9430271852276189,0.8043329587511773,1.2735852979211033,0.9274551400264678,0.8111668372111931,0.9642720700095311,1.1471887334839146,0.9030245922701345,0.9150911894220194,0.9772688358612858,1.0413967374493005,1.1430283921675624,0.9601501398823428,0.8807066642401761,1.0879228836470853,0.934852449074394,1.075152047809181,0.9736757442722226,1.137726826570683,1.4493935140253036,1.2446686298984988,1.2222202643942917,0.9999227765644443,1.4049451748785826,0.9621701518435812,1.0585950413096281,0.9661347852964954,0.9579418235472267,0.8878315599082389,0.8716213590171523,1.2509175902551763,0.8284269305751095,0.7695919704423606,0.769338402779258,0.7892365079717056,0.8936304210458214,0.8532678464176086,0.9993427611234477,0.9836286175542887,1.1942954721763874,1.093700762556,1.0723479090492651,0.9337559570165996,1.0241199320455339,0.937115850498283,0.9462852790873437,0.9282822408385978,1.21535247564508,0.9859160400484468,1.1297388443219254,0.9313640193206106,0.9448004031046447,0.9054428267182468,0.8028471129104571,0.9601849091552177,0.7151294068616303,0.7628044478959124,0.8574681156104066,0.6668814890419109,0.6196393466118819,0.6019136194844553,0.6287411889481908,0.6209310153225437,0.6628499409018894,0.7145129695618715,0.7095575628526797,0.8486472369468592,0.7821695364267005,0.7441150699171338,0.6834944939367964,0.703305737859999,0.6508089708009684,0.6499336778431115,0.6891568560595701,0.6811638103735811,0.6467280883649309,0.6413706317432143,0.7044250432513931,0.6783756952758372,0.7290562040109873,0.6698607390326127,0.7581838759379633,0.6950123116370638,0.6839636528546776,0.7784487750310688,0.6921690899703429,0.6987261770784398,0.6650132719389813,0.7962233037344608,0.8335988740399493,0.7765005078715017,0.7077183674539801,0.641134020999147,0.6484834082319171,0.6213667399477396,0.6663961731352449,0.6584749851364601,0.6934001778826783,0.8111117417006651,0.9092418810725658,1.4662995697327341,1.8559918047951363,1.3277906620444535,1.1077055014450339,0.8995087077657161,0.9010659186980726,0.8102354479545237,0.8517218494342621,0.6742501802753709,0.6637304113818828,0.6240321841218543,0.6425044407834891,0.704964057584765,0.7334666896242709,0.704307997918548,0.8029389087759962,0.8973005427402626,0.860419493016257,0.7394605077693811,0.6733022787888115,0.6615300380562172,0.6746770250755805,0.68895319850878,0.7869262852267079,0.7912359244019935,1.0469480708920758,0.7692482539918776,0.816517661154674,0.8823755728816557,0.7549946139313284,0.7368124379981598,0.6964182757858328,0.6688607685090928,0.8391266206033114,0.9550224016761721,0.9919465167504184,1.8361205254056978,0.9857075896968275,1.19804349891118,0.8045754536300863,0.7122466155433737,0.7547155329590008,0.6992955859789742,0.6997682290648122,0.7545737584896947,0.7188458523817248,0.7440939178572539,0.7674088188296212,0.7427815158253058,0.8491183569795561,0.741829727488176,0.7496054738196145,0.850336682737125,0.8237116135490062,0.9239342046292625,0.8514519706138605,1.0273180923051843,0.8338826996550498,0.9046124662042909,0.9527340107702368,0.9446282143591124,1.0228500166335952,1.0689058938704878,1.117884212184623,1.1982778438346628,1.2310754004315034,0.983140077417463,1.0366206040906103,1.0254905066985849,2.0381531956712124,1.3144485049754902,1.8834979734096808,1.14193867158701,1.2277146470069178,1.249076069558507,1.2128152326513555,1.0674998409098457,1.0620176619968291,1.2211872560045434,1.0592707728732187,1.078379486561906,0.9463469057171876,1.1303737179310214,0.9751530184260359,1.060303752073611,1.2950360799459588,0.9275128511432199,0.7768403987580026,1.01766636950842,1.2962608681076018,1.5490392248499567,1.746275814659195,1.6725546994058076,1.459621833867593,1.5417346215543657,1.8434277681451512,1.620445685509649,1.2926108236861917,1.704518217396325,1.767003275001957,1.290778428135327,1.506688572102127,1.8213303434808343,1.5314065668783423,1.2771735894598415,1.4402914117248813,1.2380391457884712,1.3379529094804055,1.2999041034865546,1.2653050367976046,1.1611721000766204,0.976798651765883,1.0117914166068331,0.9471667743397725,0.9318079512618708,0.8421589197526487,0.8814404574247291,1.107107845104504,1.0563409162469533,0.9696512084301032,1.0636318261842843,1.31556591740794,1.303970610821608,1.3849372008920513,1.5914123048966882,1.7527822915163893,1.6341700528766243,1.5264654485974885,1.1732285834634184,1.150531809540492,1.6864747200150674,1.6236016905879829,1.7289119117061038,1.6853343948419135,1.146684543973979,1.0031631275187012,0.7554301405738449,0.7367497930339553,0.7886383817295959,0.8133054057472192,0.9129156045198313,1.6483827799755242,0.7589514200401339,0.8508470522007404,1.0126019828729433,0.8987259401250679,0.8331719401201779,1.1737770502868905,1.594289526435598,2.7815832102188436,4.1478321068615145,4.1429978991611245],[1.2063200557158686,0.7871868186960681,0.7567984249999582,0.49215430168745267,0.6271890597800646,0.5263564679811639,0.4141018360666551,0.5105755910349498,0.43276530084027925,0.4187813047151016,0.46435594642722916,0.6381660418514007,0.5023343554273478,0.45140360810174424,0.6596844470504643,0.6425655949909965,0.5733928118834766,0.6675219832895786,0.7858447402238721,0.7137374767978114,0.8241232118773253,0.7996210996698845,0.9306787320795822,0.9427646377565571,0.763482402734663,0.793894761204021,0.6489059634790808,0.5790749021914647,0.6044793966170843,0.6364669293918948,0.778995507624805,0.7951171335969573,0.9765920966367113,0.9807330483539565,0.8432668766665388,0.7276220657087514,0.7365461644697097,0.6525700878576629,0.6029659937751608,0.6364633984293799,0.6127132925692435,0.6872687910162711,0.6948115095005468,0.7214735870935647,0.864655810049292,1.2851910267956361,1.3072676231795606,0.8352684999945978,1.3785636748279408,1.5231841467020353,0.9335836017406557,0.8759578910598533,0.860046893395626,0.6966582142042345,1.21457732950434,0.8829145430826522,0.7338429032488953,0.9148854817123007,1.1139966056933468,0.8579174617075879,0.8439376954287041,0.9348797452595363,1.0006580639367608,1.0908926297577979,0.9070825687657128,0.8220314951271243,1.0123309582635547,0.8660582660249415,1.0057874559537112,0.8875781548679306,1.0583927616434103,1.3933938806921375,1.1798954936590575,1.164800768599212,0.9437020864102054,1.36451828784403,0.9144740814232724,1.0184941833234953,0.9144019208029833,0.8939402001451926,0.8364337804800649,0.7667957300737615,1.2695787110890027,0.7864037626016718,0.6501290035179975,0.6682632970605233,0.7013757517611716,0.8380588832711848,0.7798965877323434,0.9528463549422179,0.9360357570275367,1.1567670167425834,1.0440529336185995,1.024546243499037,0.8658476389191533,0.9674494078484056,0.8416887236274084,0.8945394432944906,0.87103859122759,1.1952442874976446,0.9323806092434866,1.087519002853755,0.8692417242450555,0.8767744553175508,0.8188882521304931,0.6911556030690756,0.8739228950858768,0.5870673655160991,0.6245225364014066,0.7721302122756482,0.5395086581934754,0.46722236493295943,0.44577010775357545,0.4447462386476092,0.46931897119265054,0.48360551119294976,0.5510401148551854,0.5526718188714448,0.7793756768425977,0.672326981821532,0.6154246152096464,0.5341487674212166,0.527052029077566,0.4728590975085788,0.4612340301836898,0.4881146543496354,0.5073911868316362,0.48891916787240364,0.47663265866287025,0.5647673333376462,0.49645191075467365,0.559254883013269,0.4930119120723897,0.6332054258284631,0.527841166351865,0.5137838258745798,0.6367479418933928,0.5079670753738232,0.5071185443372263,0.483352931146438,0.6608383144387273,0.7099209403435857,0.638043554787048,0.5486557319852036,0.5002267176013636,0.5235130203767973,0.4741896424345314,0.5407458846848359,0.530541336437307,0.5777929845556358,0.7337124643184801,0.8652616298659509,1.4652090956927482,1.919055977816512,1.3752445350986755,1.0890209692203674,0.8332038333488709,0.8465417078780512,0.7278540663200016,0.7684079185143294,0.5504355524994627,0.5587158952732139,0.4620946869336522,0.4984490598792809,0.5214986186847164,0.5647233085285028,0.5263349027921828,0.6433712960649389,0.7511950630874905,0.7126494449349086,0.5700606478235802,0.4967860583888681,0.48997593040652865,0.5576937902084,0.5841360540360406,0.7126056205675361,0.7095676690300662,0.9855854701484041,0.6905563809536635,0.7394900529976491,0.8342294855755534,0.6418561159381944,0.6085129994172102,0.5498766315993251,0.5096377809132747,0.7271901786616745,0.866082369244878,0.8838982870222867,1.758047181744093,0.8931932198374685,1.0654804515349903,0.704776373770609,0.5943029565386482,0.6280724557744413,0.5453403575954885,0.5288465544351368,0.5946907628385582,0.5387720122004162,0.5772798446206637,0.6255974526268432,0.6061569315743907,0.7349706837892991,0.5931366166095449,0.6091875148258535,0.734007827166876,0.7065404491316337,0.8202295839374786,0.7371105980556215,0.9482613972744979,0.743039666482485,0.8103450429209528,0.8893752519885776,0.8897149393162759,0.9605952734723899,0.9863092771975768,1.0120118060717493,1.1399987681753563,1.1054482784157782,0.8802284428381943,0.9630985373959169,0.9408599870684711,2.1164239371810143,1.2009878651814714,1.7649941964991884,1.0384895163104662,1.1322891501615164,1.1537774639395624,1.1195384680097389,0.9732093571506367,0.9361865677667074,1.0988437687929258,0.9353857182681247,0.9403125256090197,0.7909055424149166,1.010290024445336,0.8482859726839062,0.9736184188226167,1.2385300099468106,0.8099984757515934,0.639213258029415,0.8926942778258425,1.189542582408063,1.456416482700811,1.6307837460157442,1.5832614648998782,1.3638029502763533,1.4429739564583377,1.7383088980253087,1.5090606793018635,1.2045471929287772,1.6206466275928022,1.6854614134598556,1.215290145874733,1.4218817166256434,1.7416558442323218,1.465656252947037,1.2108133633020997,1.3641250317332367,1.162279354354647,1.2494505577472432,1.20805575296784,1.1742894029268776,1.0823689945667372,0.8898203905806574,0.908778764464027,0.8474411651497716,0.831533288578303,0.7201318191331886,0.7552056530457364,0.9879789793893505,0.922565732295526,0.8451103026268912,0.934268293092301,1.1848864879998875,1.1735719845169665,1.2454322013252468,1.4501268611945444,1.590561251443335,1.4663419047618758,1.3667872491118287,1.0420891014859253,0.9976604161325976,1.5049139516094043,1.4567550482378209,1.5670102814946671,1.5627462568708985,1.0218673363639308,0.8392593423100223,0.5875095364371014,0.5569617364191487,0.6157064151503835,0.7082088939673099,0.841637660170499,1.6438967195435998,0.6420557660321442,0.7723809362748043,0.955127666162667,0.8308656919220154,0.7712256643757339,1.1040529390609006,1.6601628028538526,2.9169884128170533,4.280400378876301,4.312564062315294],[1.2583511414486461,0.8612456013790232,0.8985452301370263,0.5782403908894146,0.6590660426003221,0.6014152379571102,0.5382924966554997,0.703940535400622,0.6162321165616116,0.606761420496686,0.6956703639278873,0.8626267260062089,0.7503723883059752,0.6752481623058557,0.9288994672233769,0.9198070084172654,0.81956227999945,0.9076371734932321,0.9455459250435769,0.9454535540643139,1.0311215781673881,1.0264764968668179,1.1015877251389625,1.0707585976100935,0.884776032162172,0.91093302101916,0.8319933734112982,0.7698976886373518,0.8600741881970213,0.9209301702663527,1.065594160889299,1.0855245743759718,1.2928163948618998,1.2892902606876029,1.147370499284397,1.0392238008709742,1.058547514892256,0.9231802240577799,0.866257084684728,0.9151472369713848,0.7878613225697132,0.9132220336143656,0.920964398550059,0.9120740660554881,0.9628973066915106,1.2655479971375492,1.2486956563719562,0.9903228954739837,1.4798544859477325,1.5489671952476591,1.051060812317144,0.9769100746780329,1.1125787312383921,0.9220334144505351,1.4735307220314806,1.1904616285136365,1.0114361725388572,1.2128563874120928,1.4381941273077015,1.1255046861120717,1.126115524976425,1.2113610630869553,1.2705497804734254,1.2966083296398014,1.1497490835829676,1.0728867805260804,1.1859969935035544,1.0920234230895962,1.195567467669177,1.100183578795371,1.234143125744665,1.5743970326153287,1.3923504458253095,1.3475461167030949,1.2187568251069245,1.6379243289486254,1.2357167870003092,1.3338421721806188,1.2345314202981157,1.2001685831666928,1.1559892817472197,1.069976358264404,1.537132826893992,1.125439320624499,0.877004629828658,0.9703700372890435,1.0016530074435357,1.1581454631424692,1.085300994851916,1.2531945656110581,1.2473041348867244,1.4625693418034356,1.3479280059869427,1.3292902387128696,1.1594523005163897,1.2538457771946379,1.078607265119475,1.184049902034125,1.167318518729377,1.4542377462039748,1.258562964384725,1.3802465332012634,1.192530861446895,1.1665328921701763,1.1272286426112652,0.9546312425651351,1.1265050153323715,0.7787479729842045,0.7680994840739493,0.9426462171681951,0.7121005299901615,0.6738801411559694,0.6287199101010603,0.6193682270657307,0.6525036153319004,0.6108011524906415,0.6912401668358777,0.6470904745183507,0.86021079163343,0.8259699201625953,0.7337049868895178,0.6694816803590041,0.6175855306645429,0.5869808009831634,0.550969434430782,0.5746155812018016,0.582790123628177,0.6063725011577745,0.6370415961469399,0.8085834078039796,0.647818614529002,0.7508099605287584,0.6785745004876673,0.9009902078363867,0.6849478468435328,0.6473112501088913,0.6579859228497325,0.6092299936755053,0.6529545330473419,0.6189314184737543,0.715322046286584,0.7887634038593943,0.7566073450590856,0.6637598583544225,0.6980300457874208,0.7581348658016547,0.6850318867667471,0.7757281160664911,0.7766604680878046,0.7933966875904468,0.9690158437586059,1.047240674919084,1.608380552819076,1.9264020551219354,1.4451368973290195,1.3230186948622107,1.1049961364414842,1.0937946822250095,1.0154517853823326,1.0355765487108228,0.7827234237871364,0.8261457572891576,0.6753798302924928,0.7224128107967798,0.7171022595406672,0.6926164820305525,0.6292469485095076,0.6612111464153695,0.7420878485201333,0.6903785596485787,0.6247320399446199,0.6297198151853418,0.6928027585966136,0.8118808313974439,0.8722860775151143,1.0075935464582055,1.0083662698029938,1.2606828404589456,0.9959429067716493,1.0460508165157947,1.0853006877754707,0.9266345055802566,0.8865685250605964,0.8189908251036428,0.7625019434466168,0.944357704376543,1.075479695207234,1.043807754189513,1.7982250411646732,0.953775250461663,1.0370665471167106,0.8598657192031688,0.6976648537343945,0.6841849292036153,0.676495059781723,0.6785518259599295,0.6650755551438446,0.6833791124399191,0.6957035711014603,0.7657158741808455,0.82748203815971,0.965032563925135,0.7761224525304559,0.7680906071894074,0.9533005549161295,0.894611076855089,0.9062204430287967,0.8918870708765888,1.1359313575531513,0.8850476482299611,0.9644428671629414,1.0725015729688514,1.0382167455912306,1.1236738847067573,1.1805980467633923,1.1594270612716684,1.272942457861203,1.2266422228468945,1.0510637421568976,1.1506729314205368,1.1555601540707052,2.223531105927922,1.4033445421990558,1.98657650916598,1.3052304287447427,1.4290420892779006,1.4575601517921197,1.4381731736803691,1.2731219777391354,1.209599428563695,1.378378284376368,1.1884018341226315,1.1319953229326818,0.9834593058796894,1.2022753170347211,0.8861644459863212,0.9664831222175563,1.138407253805281,0.8517186543367035,0.8619380236777265,1.1801775323718076,1.4567839656306214,1.7298151313211696,1.8958777714073465,1.8680688364542979,1.6266700740628495,1.6931545275049769,1.9909524912324055,1.7424485464101942,1.412260373051735,1.8110758624271623,1.8353749842823917,1.3769006725677557,1.621851480863172,1.9026865533456787,1.5838827921411878,1.3946526426378711,1.554284887378361,1.367972175063925,1.4976843190875124,1.471908906023272,1.454673932297189,1.329857927501654,1.113120397771422,1.176236280996926,1.0962852321495506,1.038311051164527,0.9112369148098755,0.9821374065292526,1.0945787436955399,1.0213035325524653,0.9337103227801725,1.029754455811239,1.2495747587722161,1.2081565199426862,1.2716619077411728,1.4571710203551038,1.607305823457583,1.5682783235697386,1.4391004830052438,1.128750597282305,1.1109342794499173,1.5880098530637077,1.4833302127497479,1.5613290127680612,1.5076954097357873,1.0299532359682742,0.8731986776333596,0.6865371178843117,0.627871244189472,0.7423090098114977,0.8999486918451134,1.002760436591342,1.642398240344268,0.7808545265211075,0.904881332063064,1.063374694233536,0.9133180522223763,0.8629595512906196,1.2691266026617407,1.6314831125921967,2.903881970943427,4.344853627539361,4.594899987945522],[1.2206650515827921,0.8496958077341216,0.8807124288399752,0.5699332446086103,0.6619872700483044,0.531523479795536,0.4227717523892999,0.5171367127652218,0.429571239352604,0.40258146175833553,0.4516035310207267,0.602015303027661,0.49437658110253446,0.43802627915591336,0.6805242244826553,0.6471714607550604,0.5610378619092222,0.650076016306601,0.7155381337223289,0.6683834683699877,0.7543197667951048,0.7358809580430203,0.8023838783630858,0.8572181354970422,0.6810408252067851,0.7118120739015117,0.6101234460105475,0.5484229125659862,0.5942844445891393,0.6418992103208996,0.7582231332191293,0.7838137731527377,0.9465056578501916,0.9349605302985371,0.8152280195134342,0.7064457198344805,0.7342801422691615,0.6486778334519253,0.5960505667080643,0.6354961066594541,0.6021399855266109,0.634904179931854,0.6324032560754481,0.6666738911431245,0.7708674964189064,1.2060868283189314,1.1833598334223951,0.7569401386709463,1.3764433659418907,1.5213253284601274,0.8918039362246682,0.867920959665296,0.855313608120564,0.6818572098219305,1.2353675072941777,0.8701613137759189,0.6908431441326675,0.8836753941839046,1.1202864860334434,0.8158585705971235,0.8047683281372326,0.8962850826714276,0.9502845402578194,1.006715625821003,0.8133289056228686,0.7494489711628524,0.9427150010606926,0.8095254538689505,0.9618404668147025,0.8713005244911896,1.047037298436172,1.3909676805447384,1.1756847073316663,1.1036668778177094,0.9142545495216746,1.3196492620766562,0.8673148953874581,0.9716337715248563,0.8751957006810539,0.8722350359772557,0.8143170162130057,0.7772572189073,1.2219732390626943,0.7885164015023111,0.6561715339975736,0.6732166442002333,0.6955243690870625,0.8356503637846956,0.7432450362101228,0.9172906815878915,0.8981425349406422,1.1125752300047094,1.00546367031416,0.9850080383594616,0.8431726781900774,0.9541804127474892,0.8465332534573302,0.8620206299448279,0.8611173500138385,1.1541565058958918,0.9263918907849931,1.0889478805319752,0.8794777116781124,0.9078938430169544,0.8787145771534701,0.729837801555451,0.9355092035674121,0.6223008200718042,0.649044799762345,0.78381623606919,0.5672294168651568,0.4893302852891681,0.438883535853643,0.46739610127831377,0.4616796471888737,0.46659247222222644,0.5348831802268053,0.49689718843981967,0.6887625436296161,0.6418890615745384,0.5678084319327974,0.5056021660770935,0.4920804624285712,0.46434056941922996,0.4592831207054142,0.5135138836508947,0.5259630509677244,0.5053056025071749,0.5092460489161904,0.632196569731995,0.5459806811205155,0.6289813731839069,0.5529337133617339,0.7007864144066409,0.5711554445929374,0.5405514182923906,0.6440846135458275,0.5179450950653001,0.5399868315660056,0.4865173934873612,0.6102838325842944,0.6282257885583513,0.5796410338269622,0.5179892326103799,0.47811056211976255,0.5149383539544216,0.4662284937875995,0.5341113633557946,0.53914863439148,0.560694628953397,0.7144817301765025,0.8030314039036561,1.4260248851141393,1.7850374802884,1.2533134016879919,1.04422432910427,0.8288719550737774,0.8357205201683848,0.7354087603857664,0.787093098710759,0.5730124066820712,0.5489827093608554,0.477995509121646,0.5086069512404023,0.567112878010141,0.5721527017900349,0.5369086571946451,0.6272450000347097,0.7386975119756506,0.6774509820961061,0.566057836139632,0.5027229989968287,0.532085406029312,0.5893928832910621,0.613979796770619,0.7408675100949244,0.7247770972823433,1.0017922494005957,0.716236967223078,0.7991129002142073,0.8472502386898398,0.689555311683246,0.6669992599064113,0.6294504979781774,0.5724235362741451,0.7491781794328849,0.8680329958340247,0.8601416994312926,1.7338889759516738,0.8262197737472351,0.9828574037165396,0.7063649667111701,0.5939809089333735,0.6246253021673647,0.5767209016470345,0.5678921804257551,0.6042878769918756,0.6067678280306811,0.6330793439431566,0.6733257900925507,0.7232895596504746,0.8433358566017032,0.6725359909814873,0.7025395888156987,0.854726109172545,0.7962362669301576,0.8877995481295442,0.835606475194862,1.047578222741495,0.8189447358620341,0.9093151737883993,0.992199545768133,0.9577659410222551,1.0721691382775473,1.12562902498952,1.1298731651469398,1.2348969051147118,1.206058122196647,1.0011763341785973,1.0854448608363867,1.0867060712945558,2.2205484375658124,1.3512879625544345,1.8870447914668256,1.1994521220766279,1.3217197177422333,1.3408287246897435,1.3153967053917126,1.1630815573758027,1.1003584287624895,1.2546096908387017,1.0774077928122305,1.0484205515261085,0.8901780388191814,1.1112326894128675,0.877401233125613,0.989017207558428,1.1596152368422354,0.8383822254654318,0.7404614777722744,1.0348652901924533,1.3366031263710267,1.5966515591722943,1.7887217344835038,1.7308392110357285,1.5065126057702722,1.5964443316541201,1.890458502157944,1.641182956772529,1.3263196546777218,1.7343657787055768,1.776253067224095,1.2988836885586992,1.5414751235015165,1.8389420945781059,1.5257498580769062,1.307312931261666,1.474144366007054,1.2827749483574251,1.3964919310655481,1.362054991810688,1.3367909057272083,1.232331524767329,1.0206868480455802,1.0678901565066832,1.0011879772580652,0.9556841049388453,0.8383007069575708,0.9048811918858491,1.063919513752925,0.993258463531873,0.8999809368384863,1.0075508437495269,1.2452170385242913,1.1972257675906564,1.278901097743161,1.4696068972132865,1.6221864030058597,1.5651444336927764,1.4499806513700437,1.1279216286382883,1.11424780001255,1.6219345154994513,1.5205612134517568,1.5941823279010223,1.5333418438172801,1.0474480383172384,0.8678463128804697,0.6323080507310431,0.5731120495566032,0.6914540678667899,0.7691302683894709,0.9048804145382944,1.6093246960880072,0.6664028723334006,0.817067188273294,0.9750438745075725,0.852048179237598,0.7920266087872773,1.174754035280839,1.5646260299219346,2.8122307993756848,4.230399570723389,4.355513329688204],[1.1926872563672477,0.7841756942200824,0.8040980515612436,0.4958644377239445,0.6163979343436837,0.5036772505021292,0.42034524803512147,0.5264498597069727,0.44554175969515974,0.42318602721085496,0.46849969162289196,0.6021497687999312,0.5011434336308863,0.4467236265440116,0.6508053805745343,0.615922221128308,0.5500976185747902,0.6310998634026832,0.7089869040428339,0.6506768382516652,0.7379762696710709,0.7195729503435403,0.8002895619066748,0.8482835107172773,0.6845524105605775,0.7152684137467501,0.6127701302935529,0.5549884660803069,0.5713314576124813,0.6005906791094271,0.7050858170498854,0.7218492451825037,0.8655273586548301,0.8434598418245547,0.7347877566597397,0.6524687263269616,0.6687579246636395,0.6105920546002412,0.5752255816707142,0.5966132753506515,0.5938947531122524,0.6261348898055886,0.6162665424948364,0.6665724060118802,0.7909501030551819,1.2291435211999904,1.2182218715902466,0.7518090791767278,1.3547829319144205,1.505969762445986,0.8882538783000362,0.8486221967139619,0.8317563062381053,0.6708869821601702,1.1964755689190456,0.8190568025627579,0.6540224641978768,0.839239293644074,1.0442671138615622,0.785623450159626,0.7660753049177667,0.8267344339949495,0.8727822536543279,0.9449675368467199,0.7830286424818549,0.7073077178648888,0.927064343894284,0.7760644810567691,0.9373608735724942,0.8339767750803644,1.022423599576214,1.359136107909002,1.135184545337626,1.0707436944307103,0.8645688009037936,1.246003086820111,0.8032755296663967,0.8738578807822049,0.7842986483623609,0.7895428006781426,0.7295242991055878,0.7347016281067669,1.1667713307744838,0.7222166253021107,0.6423972270301963,0.6298870130248008,0.6495996859629202,0.7675873077804924,0.6817491172027823,0.8245824595157865,0.8133703850923999,1.0262952913004595,0.9180428520973374,0.8931041278511082,0.7792474639283975,0.8760206965485402,0.8027455795648217,0.7955788071534735,0.7943233528376641,1.1092415065851433,0.8490002213957879,1.0251405621734404,0.8117002411101544,0.8497931444013408,0.816056750232474,0.7001450282588166,0.8831822403029027,0.6091823202361569,0.6482512667536354,0.7625478873862516,0.5583566882304697,0.4821247402828245,0.45179643546241605,0.4777282310977589,0.46936860513154693,0.47643723550361716,0.5498473697331541,0.5195733117061296,0.7246452681777734,0.6609055601520881,0.5972421579516702,0.5249510301800815,0.509233457767968,0.4659089350392027,0.4576455699394176,0.5082153230398069,0.5144838656063546,0.504812716935216,0.5009237135302934,0.6082213203834324,0.5262047693467551,0.5975031419361446,0.5331552897558688,0.6688263412052342,0.5630638571174135,0.5443209792984007,0.6316693086336077,0.5206736126705465,0.5593254155520598,0.49997471758125533,0.63919105489696,0.6558382906634357,0.5988112373601487,0.5312446115630952,0.4864847627095034,0.5135383549820369,0.4709559270987613,0.5320955340812601,0.5308798610373061,0.5670075594679332,0.7147188249620527,0.8174859418107002,1.4195203648270789,1.866812568170461,1.2841342685389,1.0125232427534046,0.7894694549296197,0.8032799992308913,0.6920405130306508,0.7534397572339467,0.5601066575456926,0.52931207692863,0.4688577468246245,0.4948181253348217,0.5483056237251286,0.5981751760768594,0.5402598002014406,0.6276827355440159,0.7433855036105836,0.6829943124489034,0.5757672445041385,0.5176369068511767,0.5254125273223618,0.5655355635072559,0.5751579853856325,0.6881531694504679,0.6767335862407058,0.9481613249243358,0.6629239586718986,0.7296744990953002,0.8198764604211242,0.6404893370033278,0.6201823212511781,0.5786264570154983,0.5487607104227028,0.7397894932491081,0.8653958961007996,0.8799227249112377,1.7724822209410418,0.8528021899962785,1.0331378854624234,0.7196118208635179,0.5821979103176605,0.6118862964333758,0.564382771208807,0.5405597104576231,0.5816146682220954,0.5679369963051191,0.5949494003064238,0.6496913863988107,0.65665587397201,0.782409606838105,0.6360029272895982,0.6447078072091385,0.7890575787480612,0.7543633506844377,0.8264909985124659,0.7645263557764193,0.9887921776336746,0.7669283362474727,0.822663320385845,0.9088675840772533,0.9081869732476338,0.9710758607461797,0.9966923978005421,1.0036559696659113,1.164931930312203,1.0789433581738568,0.8938564152870251,0.9852817152216099,0.9744341782614384,2.1648104043067478,1.22315090850944,1.7925123131554892,1.088449142400373,1.1916071813639997,1.2126928101680103,1.1786352895645293,1.0414725316097093,1.0065183327664622,1.158280744317947,0.995474300123034,0.9868437137568166,0.8298089419848488,1.0395397496996996,0.8326997093541706,0.9411401937052981,1.1840132497594877,0.8008124290719623,0.6818621885630132,0.9595723182500371,1.2472375749279958,1.5006805324404369,1.6627643519648987,1.6052431250110295,1.4121266805090928,1.4880254332646718,1.7658354465894326,1.5508765137053693,1.245359503336437,1.6464117204323176,1.7127390878629527,1.2462017263975544,1.4522096254014751,1.761940432623847,1.491121337125241,1.237936479006166,1.382821354106072,1.1969237437299833,1.2882762021936176,1.2581126162003733,1.2241617761044035,1.1183207422242514,0.9330746128881663,0.9696696566489145,0.894445816132543,0.8634525047890965,0.753727419201565,0.8077167988874873,0.9712946700009648,0.9007666451014931,0.8270417330241064,0.9168863090645238,1.1446251009195179,1.1193796432363228,1.183631050970573,1.3540397883606088,1.502448173044606,1.4250209371350582,1.31062359480832,1.009706075410929,0.9936709944474267,1.4813508860485196,1.4137339573512615,1.4966027747432256,1.488519405915227,0.9949928719691613,0.8323175937671058,0.6051305813180036,0.5585377385966085,0.6523248957056811,0.736723799251431,0.8490250788982631,1.624239956010423,0.6540017366627403,0.7845709639277317,0.9487360847327517,0.8314992634414018,0.7892792169048505,1.1186707019333348,1.6378613655054641,2.9066033844663086,4.294075415023178,4.289490797133567],[1.3127538545839534,0.8936301302077263,0.9736798138343513,0.6026076519163849,0.681926603931125,0.6322832525189847,0.5406182925963804,0.6455912355988631,0.555969975919903,0.5798300069914009,0.6460756968843429,0.7452151107335945,0.6735468071425198,0.642517372802869,0.8136623258467385,0.7779927712924425,0.7145930457541582,0.7756338317611047,0.8221425255230901,0.7985610389836748,0.8621789943216887,0.8462298579754218,0.9057814916859585,0.9685360969437142,0.7716665011616233,0.8058263926870799,0.7249035302720535,0.6896230039406404,0.7392469778767459,0.7905853351161338,0.877336995674309,0.8998155366142475,1.0166857834501764,0.9938412658930418,0.9209740055310163,0.8346548322162232,0.8617733057884287,0.7758699477491152,0.7602280275290112,0.7980182836303119,0.740929601752329,0.7903268076724725,0.782284587889298,0.8027933864889067,0.8702436741384456,1.2747965727629205,1.2468208524082822,0.8725681698461469,1.486933471362744,1.5944334140850003,1.0267381206726078,0.9524321685401331,0.9972034560473377,0.8226220230145498,1.3200134312151155,0.9903279269368388,0.8126876833442791,0.9808858650454142,1.1987264186803266,0.9274714001215896,0.9110759154716773,0.9618113892146639,0.9958807378427581,1.0290895114925562,0.9151116918729226,0.8755613705714458,1.051378761257979,0.9306683482183473,1.030599169547836,0.9785100137073809,1.127796319085595,1.4964103303114953,1.298852736411404,1.2304867843102525,1.0185427143934316,1.3609351969323285,0.9711280756125589,1.034285232638552,0.9507149820906282,0.9938885158082755,0.9377845150115254,0.9090904747597964,1.2958743458609796,0.9288564193484996,0.8305579771246426,0.8135195932442224,0.8205136278257567,0.9619984956932401,0.8671549220130876,0.9941333832395657,0.979623821230964,1.177557350059772,1.0847772378716587,1.0566812293376686,0.9435788642163916,1.0419752486546618,0.9475367059726054,0.9542020195660845,0.9656513525164182,1.2568915432371084,1.033402876522456,1.2251496402342237,1.0160718549086967,1.039960327455489,1.0289494972911624,0.8900539313756707,1.0789618349961652,0.7965194071940893,0.7836867761163296,0.9008612236673493,0.7302737095523741,0.6576035316962896,0.6001115751471707,0.6404634222467773,0.641992780956625,0.6185803986537015,0.678615691713368,0.6423829618030756,0.8468086692767703,0.8136049264461187,0.7573545197427012,0.6813697832965944,0.6050934246602256,0.5925939641127608,0.5847179972697883,0.5942803029469685,0.5992782503235429,0.6586070065752734,0.6675461431827917,0.8238935580780649,0.7105945044525598,0.7802171628918619,0.7410328109682485,0.903655165870691,0.7679430607514428,0.7225864018117775,0.7409767767509164,0.6934940825539191,0.7258230318743745,0.6553770946435475,0.7440669312225888,0.7275269561281974,0.703806189880078,0.6614331740342094,0.6610041339894883,0.708154194062508,0.6582187821156112,0.721207099015656,0.7274730562150937,0.7272436493288812,0.8945627293565684,0.9557974110380157,1.5358680151375448,1.9074802184076058,1.3450692225327074,1.179600372723062,0.96741832168819,0.9825829908327186,0.892765519347216,0.9572601848222799,0.7627821883187195,0.7360551632561629,0.6512984357592193,0.7073017836030878,0.7454262616270535,0.7105987344533549,0.7042235306888541,0.7470003493229326,0.8368782430713598,0.7815643379924484,0.7229514701103629,0.6804954337574526,0.7067006088659173,0.7706958514057176,0.803323777650948,0.8982520153503314,0.890874530584749,1.1190913559701892,0.8902654148437426,0.9521877173561916,0.9678321224360442,0.8672791146419164,0.8520324182542021,0.8095062240695672,0.7515598400648295,0.8974337783242706,1.0181315074221053,1.013897519706053,1.735551847924414,0.880354913546761,0.9657582986601277,0.9237000755719618,0.7601372028274147,0.7675022105579036,0.7459372506786867,0.750518552397526,0.7390604087609824,0.7524611508206994,0.7668775399507645,0.7949221000301997,0.8845007559143304,0.9992038250319487,0.8098522720723137,0.8282883576112829,1.001000510326849,0.9439188299320305,0.9636304500995425,0.9569399967443422,1.1741129268344397,0.9606937109443069,1.012612316753912,1.1117383775166478,1.103069329098424,1.2002099588298862,1.1969861852072032,1.1399527572630432,1.3286426433321343,1.1640693253417254,1.067926211232153,1.1812237230630032,1.1672826200241002,2.344950327977013,1.3722044754294644,1.961676281196586,1.3192611627950932,1.4141877487270842,1.44486300232066,1.4413986285391989,1.2931388580661491,1.2481957535247339,1.4010020678796993,1.2538064259904074,1.177072944325011,1.0356972250873007,1.2669705224578978,0.9302716760117951,1.0045280831592034,1.1402894162065538,0.8864051648409406,0.9238571928366747,1.2138937884881456,1.4744290986324164,1.7193047028688462,1.8458906489239806,1.8134350374083066,1.6213219625453086,1.6646304238915373,1.9414762043286082,1.7068879483942943,1.4154153479441973,1.757458714280614,1.7854781193216638,1.3759528727672574,1.581351163115599,1.8439405715126864,1.5691742349255862,1.3890993051098126,1.52359994024086,1.3565805224567296,1.4607136675182586,1.4517830613265852,1.4405549159856892,1.3187515249811357,1.1403609441943787,1.2047883176937622,1.1197299558581526,1.0655547781570203,0.9638199042870633,1.0317985805110523,1.07827079461486,1.0186868108675986,0.9498106241747606,1.019151451723395,1.1556786696548234,1.1191384230496688,1.1609591014279248,1.2830242485119547,1.4046434596996833,1.4060018421209635,1.2781892296879163,1.0663531852305626,1.0746387151794365,1.4349963830811412,1.3361192023953334,1.3847426299178305,1.367140188255271,0.9741144404030188,0.8577050653710515,0.7438699981076209,0.6769069939352048,0.768304150565498,0.9392157537078255,1.0335843825604771,1.7143784099211237,0.8083047407629218,0.9492064787390809,1.0773301052209974,0.9663973971087217,0.9757821227477789,1.3269511483263041,1.8762734410764712,3.2163464832435693,4.665375240844688,5.020034588263941],[1.2411372111943035,0.7522754204445199,0.7841645512445464,0.45337690383260926,0.5153161449711479,0.4443716388916633,0.3574863906870723,0.480267444958165,0.38422881629788797,0.3958292793654104,0.4628538872794006,0.5900551530973621,0.4955098462463492,0.46787224922524756,0.670231676214332,0.6299919448261423,0.5691559584880446,0.6575693842154108,0.7342686163188374,0.68365563007772,0.7604771563201834,0.7320533594497075,0.8137593193158984,0.880446851491619,0.6868176486466235,0.7210810534577361,0.6262628100671941,0.5619666401993102,0.6029236253880543,0.638635145074008,0.7261454958497737,0.7383001087835565,0.8688725604603891,0.8440785810125347,0.753345119839084,0.6757631571542316,0.7126478024181462,0.6399606489372622,0.615773631394828,0.6464721080366641,0.6034914111419557,0.6691462575781216,0.6594986383377637,0.6967747119000632,0.7911393332362302,1.2021361176697032,1.1571799540854644,0.7969228165897267,1.4185354673673563,1.5127458747738136,0.9270982636185993,0.8590075064053382,0.864430099167909,0.696165721506163,1.2320838653596924,0.8638027138443722,0.6952249127639774,0.8609133547231095,1.0796129599099928,0.8219468669824176,0.7738995357523846,0.8181690642965392,0.868024735745363,0.9224052973287882,0.7732288991490487,0.7311212929925266,0.9396725614476131,0.8037181855197666,0.9531525143012252,0.8793894348560228,1.050949522402844,1.4317377411818573,1.1986273570473525,1.1195268007260795,0.8848365904184446,1.238856024015166,0.8165159841459176,0.8777536744787954,0.7959904738586532,0.8245968481096436,0.7750749319772352,0.7660707955858038,1.2125814838744835,0.7712569928166687,0.6816268447760714,0.6733654947205951,0.6727491980915666,0.7957166429777376,0.7102794081602737,0.8276257971833529,0.826422912579314,1.0174406647327638,0.92487252848524,0.8904082530803932,0.7907153919286136,0.8901334960552981,0.8216542391104701,0.8085892226397208,0.8139474599490293,1.1499114335491596,0.8796457680550376,1.0619673922204964,0.8451158023796892,0.8936645721824019,0.8684400871607827,0.7063807693692945,0.8961326896080122,0.5823928336880846,0.5918204785347865,0.7475364140465464,0.5331518422395222,0.47900369655022246,0.4240808593467681,0.4785973862211079,0.4890829739960934,0.47795180768935436,0.5447798939393468,0.5123999533879148,0.7488253446741442,0.6734916250875611,0.6185929807557942,0.5378951817846196,0.477760679083556,0.45974209450595926,0.419682562167568,0.4412224723597552,0.4291187949946262,0.4688089624893278,0.47090230643014414,0.6423365165072216,0.5099503117025157,0.5696582556547628,0.5541830768453699,0.7261368549662027,0.5933256691290031,0.556634875572609,0.6290155830234293,0.5182069110990591,0.5689067624823233,0.4989271608194101,0.6215952111497133,0.6263708984086788,0.5783319962836786,0.5305943082528929,0.503133982736673,0.5475608506704045,0.4973673417629778,0.5619030441152537,0.5633240542539087,0.5624133405009154,0.7466184691054876,0.86367289252571,1.4811599600165315,2.0340450695972674,1.3977290676320833,1.069345837878009,0.8181347949696746,0.8543711585452958,0.7434453838020384,0.8186743380039245,0.6073704046613035,0.5800454298326096,0.49764219200802284,0.5416778650777982,0.5781672994364994,0.5928346618076372,0.5504004671931176,0.6047600840803613,0.6862051148401256,0.6536429442653705,0.5551365951618833,0.5124173616527156,0.5606719569324916,0.6169416783605025,0.6421204161490014,0.7430215570264224,0.7399304831754038,0.988154253327555,0.7252215582585142,0.7887411242792727,0.8387354065416491,0.7044747577720313,0.6821046661045005,0.6429553668631819,0.5994126454270027,0.7890438179987026,0.9067643271462165,0.9054810763771338,1.7187617582885897,0.8447213401079673,0.9440873830846649,0.7800491477767377,0.6293259323320144,0.6524007526296806,0.5919976421882802,0.5588755842491355,0.5594944256565517,0.5412123553720615,0.5543226692656653,0.6021769421954009,0.6517179897424731,0.7767505143364373,0.6039149496409396,0.6215465489623108,0.7941029592425973,0.7558157753940722,0.7946401303123344,0.7624734430719099,0.9925058735642848,0.7927873309997711,0.8311618433952622,0.9343044677995778,0.9485888617979908,1.0223746223201142,1.0035611640577606,0.9586290008714577,1.1534549928424525,0.9823727607149282,0.8751349994488437,0.9932319446256929,0.9481910680239406,2.2493665511638805,1.1572725337530951,1.7708583369607906,1.0918413566588636,1.197407587477173,1.2364050143598606,1.229494666363288,1.052921530759242,1.010766595517617,1.1827619952375785,1.0212111179954588,0.9557417305638151,0.7987586601217835,1.0550698095929973,0.7386830652236046,0.85589868508567,1.074612877466289,0.6957548299246175,0.6967551750943696,1.0133668743561928,1.2746967078566172,1.5327256151934683,1.622843465795053,1.6194533552771289,1.4315537499616549,1.4521669173185283,1.7222166547040612,1.507340392423071,1.2190784940896158,1.5644865885450832,1.6145687309802899,1.2065329582718203,1.38695018277023,1.6670322940049895,1.4241947828558,1.2188594872027112,1.3376370878502513,1.1664940435772573,1.2457127613869265,1.2297914515280162,1.2111750420851681,1.1022482287379312,0.9309928727664818,0.9725246753815241,0.8932167202664885,0.8538550300998773,0.7433090677108164,0.798028056450911,0.8975341648365585,0.8212588049062997,0.7486509714093736,0.8193404526607794,0.9707188609576737,0.9455856917253485,1.0050513328030048,1.1441087836573955,1.3023272839991544,1.2263616465169616,1.1168413030842412,0.8977127620747765,0.8881987087096282,1.2585999733972983,1.1800441661445618,1.2496790392889912,1.268376910104029,0.8260956645833345,0.700533587264214,0.5411204806848886,0.5023340745825584,0.5819957227873725,0.75156065049915,0.8477992537642405,1.639769967379914,0.6244292516730333,0.79074754455379,0.9546193014864397,0.8209925406829902,0.8592070666781463,1.1870295515393474,1.9421214809810876,3.2781530738650133,4.694141352657414,5.030960425911895],[1.3147877351459674,0.8542737586330489,0.9302789563246623,0.5880183740656267,0.6356907772750129,0.5904118117394151,0.5341174949443077,0.6316133215978682,0.5714514331848519,0.5744648429769286,0.6184277825948066,0.7179363695443073,0.670678032825838,0.6028634273001037,0.8071301596795715,0.7798559093063637,0.712623020737185,0.7861961681731346,0.8041156017581893,0.8095665566533965,0.8516941014187879,0.8447506878227458,0.8743694136232317,0.9195699781289316,0.773920157147465,0.789722184163963,0.7367925777223322,0.6988329735346431,0.7501046953261494,0.7985376681138132,0.8576302427711032,0.8962217385524244,0.9876590423771259,0.9658762071784489,0.9047377078497642,0.8336535585550273,0.8760249386435334,0.8071125177207024,0.7808480438922041,0.8222898128025299,0.7435656320408045,0.8064787615115524,0.7987293192606245,0.8203089246274187,0.8379007501258603,1.1825741152464269,1.1073614148805078,0.9297485308366905,1.5542387747030362,1.6232583713656827,1.074472445827294,0.943840712073594,1.0093021769252233,0.8543092584837795,1.384650085359201,1.035966454560122,0.858309865867059,1.0002567433200626,1.2273202605790872,0.9433331721459514,0.9157774162771382,0.9365223211592288,0.966235176620132,1.0363699476678239,0.8775579399717258,0.83735514680687,0.9932318894634845,0.9042873301996749,1.021068204988267,0.9689410662122975,1.115089596881576,1.4845145723908748,1.2677347921915074,1.1373089794565732,0.9634642096576291,1.281328354376724,0.9222738647855562,0.9893260131497132,0.9217423264571168,0.9609603163882181,0.9259869022421849,0.953274787675663,1.3507870686067012,0.969513830185275,0.8676767048332524,0.8664570062621453,0.8477478127135893,0.9472909792730569,0.853583676714695,0.943606124776289,0.9357290584198807,1.059086478802439,1.0011527393018256,0.9769698046935813,0.9048974716822642,0.983383499133851,0.951118661074147,0.9310751696152595,0.9285177803517038,1.2382286937262448,1.007476372915385,1.1866920389801017,1.0037651527184464,1.055520851683177,1.065009657036069,0.9113919075871196,1.1118844688362506,0.7914446231209977,0.7774087452353954,0.8941719435720057,0.7217300014328284,0.6815192003616157,0.6075231433216619,0.644697987287765,0.6331156942757638,0.6073629785764632,0.6677871130389939,0.6241086458104633,0.7850827503586221,0.7858668220155361,0.69168638194545,0.6354767135825753,0.5731586368194844,0.5690346927200416,0.5407331056324587,0.573748392211525,0.5701150472590044,0.6545813682214178,0.6755130059716671,0.848745891297738,0.7286063207878423,0.7823538884066394,0.7757184644722833,0.9366383905377362,0.7931575515470308,0.7331613633788545,0.7716225745598804,0.70252956576466,0.7539732802913901,0.6604694696458676,0.7243518094344165,0.6960476155092963,0.6734051324065573,0.6542955614694854,0.6630625939800676,0.7011193703120494,0.6649086008817608,0.7317153699113129,0.7505874694919608,0.7214945214061165,0.8920103449373361,0.9628736984512964,1.5670923006715234,2.061252238042824,1.412899321470742,1.1737405261483271,0.961282075283786,1.0038257927242162,0.9169257981836607,1.0071441927643527,0.8093455293437312,0.7734552767650749,0.6847227774733822,0.7315039668698349,0.7609141828378393,0.736341091340103,0.7261392013456538,0.7369609372900625,0.8087628488591705,0.7715689465047341,0.7155854468948962,0.7068973969142989,0.7594612142909528,0.8251466369985956,0.8482184833064683,0.9394768133314083,0.9195252134137467,1.1624419390867038,0.9335133044436775,0.9972738872946807,1.0065569996585702,0.9082950468803165,0.9041074767079431,0.8766344681082126,0.8325037897895815,0.9541059991033809,1.0193285732743655,1.0351465527675479,1.7192287452021295,0.9100207840822551,1.0151161866620397,0.9079085791014093,0.7982797062799363,0.8100398172748404,0.8020726371225848,0.7901683996553831,0.7450496670173073,0.7648968957246167,0.7614512794239964,0.7836263544857953,0.8655119695876882,0.9692206501725331,0.7988321522870339,0.802774165598772,0.974225720717903,0.9208831737015971,0.9450480809466719,0.9291465250676817,1.129465753005181,0.9452112706594015,0.9828238298143529,1.0835587097572026,1.0981052052231026,1.208357939541135,1.1606510032135837,1.0917509166935164,1.286209940395732,1.0738179721434,1.0237098085883567,1.1473076303347118,1.1159559613636139,2.4843059977761532,1.2869487955480972,1.8199730611089802,1.2538430550339803,1.3871918006123278,1.4365364787016177,1.4658654865004175,1.2708023905845118,1.2131993295276233,1.386290065134763,1.2426489824360551,1.1364580237221693,1.0038916714906747,1.2731619992732606,0.8778495861502471,0.9295463374189292,1.079406599586558,0.8167170238395562,0.9210603687066494,1.2263018519408824,1.4580857765637099,1.7051459475470327,1.757766093012288,1.7764310047693375,1.5979666530826948,1.590018174327199,1.8439469917719862,1.632130987045044,1.34769669166151,1.646104703593679,1.6655184412935466,1.3048941597237882,1.4743220398991908,1.7132430809229195,1.4819738994827045,1.3192341510321353,1.4250936312010023,1.2811088995084416,1.3716763097299838,1.37421431688382,1.3763450797429784,1.2497431131170356,1.0945653719169788,1.158497121424868,1.0785401427524974,1.0231753787426403,0.9238347298923274,0.9990901839573383,1.0170292543864727,0.935744568275273,0.8736290242285514,0.9484817243007427,0.996326814912462,0.963899881846243,1.0152265640267362,1.121236483269179,1.2799801137963451,1.2356364265347775,1.1129233831927448,0.9700672280124283,0.9732827950183189,1.2289897098664422,1.1467755518760498,1.1756709969948684,1.1764747373797086,0.8570848844895328,0.7783666870742364,0.7224985280995474,0.6551201393340549,0.7378830475765354,0.9275687593766186,0.9846021046245168,1.6486153447865226,0.7795899295478038,0.9270670298745846,1.0633647959613566,0.9123749507778204,1.0296013610225607,1.2991384910028678,2.1021324030762094,3.467935732867797,4.977561501245838,5.6414893558994],[1.2878985041643058,0.8330805536087278,0.89774980517505,0.5919760807835177,0.628237770497866,0.6226628152364106,0.5274110967659241,0.6014371738594163,0.5512151194888534,0.5146992570883232,0.5458864025983969,0.6333268291812889,0.5802709992905347,0.5446417171335817,0.7250483318565268,0.6769015068448259,0.6380812209921632,0.7129465004419285,0.7826569308878676,0.7346575116065697,0.788988119299412,0.7628689260930724,0.8273583051013204,0.89057758918728,0.7339114209408011,0.7679366527059434,0.6993708532830284,0.6427091677449569,0.6677473456542199,0.6980191639448116,0.743057955356181,0.7657959232117553,0.851519327998936,0.8224651399205447,0.7642014033204491,0.7080460460022812,0.7628697904310534,0.7091050575863432,0.6996636148223154,0.7269594761667615,0.6884154719144386,0.7321977220931176,0.71767612278143,0.7454761756969216,0.7975015792282312,1.1734175070139805,1.082928046906259,0.8595069657347726,1.4954045484226497,1.5341755179486745,0.996068795291597,0.9101333777877781,0.9451750190875454,0.7801399265919092,1.2861384388705004,0.9464527339619703,0.7622474068293171,0.9087333185945897,1.1356747259881963,0.8357567816180811,0.8064098460521925,0.8302896720531441,0.8618873023558232,0.9253670130880297,0.7819171699088506,0.736447638969211,0.9424204673086531,0.8280355302084151,0.9792563293638034,0.9151864234133119,1.0926791752866631,1.4488073207536034,1.2181579087591847,1.084641956662823,0.8766956834195402,1.1811890093674442,0.8031871194235707,0.8580732391763082,0.7950169363567056,0.8316702022836904,0.7927710190381508,0.8238438838351007,1.2883373332413768,0.8925659704571353,0.7423834840905675,0.7489664837665777,0.7302965753704842,0.8206423401713516,0.7246344210699732,0.811513128674973,0.8074291160310844,0.9448563312432386,0.8814550844393583,0.8398402412256998,0.77792371925705,0.8550492724808886,0.8508645670167724,0.8032093258130896,0.8288139854479816,1.1887058199699931,0.9055061652960148,1.097196343821868,0.9028096194905502,0.972758848358701,0.9517487236215462,0.8038754711660953,0.9864558776346001,0.690597771848987,0.7098335257865431,0.8706394078884924,0.6783429064952179,0.6366889530573334,0.5728021942322327,0.5979942370050534,0.5877545877253806,0.573824852130086,0.6204482843987706,0.60460467380351,0.7495189611062222,0.7213075083968702,0.663747525972981,0.601923383806831,0.5734834058468284,0.5547587914192577,0.5256496246505081,0.549072716474336,0.5760805604502981,0.6233250019236284,0.6312979093618337,0.7798621765776818,0.6772253113946715,0.7165336658199328,0.7109337785356288,0.8727519730826749,0.7303397768045965,0.6783475601415759,0.7168110691562891,0.6458848519099101,0.7194187694742081,0.6183710571141205,0.720275970651484,0.6915273810282415,0.6464537541144031,0.6220494983294859,0.6000622720937707,0.6339890503651749,0.6018399369344923,0.6684792893866904,0.6729922723002395,0.6585242034224904,0.8391841288866705,0.9371988003419984,1.492766074847292,2.13176495358451,1.5009534338624384,1.1209329763167815,0.87928850706908,0.9278347741908354,0.820393053392957,0.9040275505874642,0.7205160214236526,0.6864729088740275,0.6134610395882846,0.6462458310372883,0.6794272590499864,0.708949466790685,0.6709988686747864,0.6907347374149023,0.7379516350312606,0.7196275562223061,0.6476926054777018,0.6441631010384433,0.6781588336455814,0.7418205161367623,0.7453300568788119,0.8374452798444706,0.8097191295726154,1.0382302764263167,0.7998562821769648,0.8745520220082943,0.9353204534472002,0.8195296111511824,0.8160599568085652,0.7853156647114936,0.7414547801936244,0.8936549109793056,0.9731284515172561,0.9797754597126113,1.718203080732266,0.9129269411572706,1.0140838175849476,0.8745362784618849,0.7394421778729046,0.7494158764438749,0.7343693808107825,0.7517904540848409,0.7185499273005349,0.6999613767988493,0.7255211261438614,0.7384181118308462,0.8033911612907587,0.8974924587762017,0.7563259728820387,0.7698760221227344,0.9159664024029982,0.8851327253457025,0.95581721366284,0.9100660550307724,1.0679991976849819,0.9424836174040317,0.972864836756162,1.055397525942391,1.0964537957617537,1.187515543909526,1.123957340610214,1.068273410859682,1.2340265867042102,1.043265116237782,0.9858570504456186,1.0875338209914533,1.037149104837636,2.401734020058893,1.1875267065703272,1.7287755370868574,1.1517235597652784,1.2326449975981315,1.2714733017127864,1.3090079805112091,1.1210391279068734,1.0800572369124628,1.2494790178256066,1.1237412093267456,1.0388434432103513,0.9062561085245331,1.1717790220125914,0.8285389010101379,0.9334872685584878,1.1422735822840389,0.8316391273017031,0.839879258468337,1.1109623796596886,1.325514126070602,1.5533500743400555,1.5856982686667198,1.6137499531665922,1.4542224044698508,1.4389409279266487,1.6678083114043478,1.4607927767432956,1.212249523661233,1.486525392108235,1.5187362341159152,1.2178350367848896,1.3469830313121338,1.5760140918111378,1.4113085021590495,1.2602117066259328,1.338588605673754,1.1991484073864278,1.2557328812175532,1.2423228992532485,1.245461355733714,1.1466389853004466,1.028710241353002,1.059729839103845,0.9989163714650445,0.9686434607084216,0.8784151373887792,0.9264294127641347,0.9809217078243894,0.918995076127822,0.8515098531133919,0.9456746438426733,0.9788701249120789,0.9639441374148449,0.9991097484083953,1.1125653393746957,1.2892300168806452,1.144537339100155,1.0801878178240192,0.9620876769758959,0.9487701552139077,1.1830801755057303,1.1109825517212557,1.1589553400190493,1.1975273991891335,0.8763517779864115,0.7923671375391711,0.6986978944470762,0.6423960146139893,0.7446330634049447,0.86080829839142,0.9080196789821771,1.581872505483815,0.7620082072101003,0.9180920512150256,1.0484245664718927,0.8572611794838354,1.0710799563895428,1.307698738656733,2.243640379782223,3.585013700990268,5.09986173381622,5.881580596660645],[1.363946674994065,0.976309834832704,1.0781661655001473,0.8166463953520275,0.7853428090669868,0.7906920417219709,0.740804718236432,0.8132512833934018,0.800979855754067,0.8230919945706714,0.8723513376044891,0.9151526619894119,0.8943496813338204,0.8845720895075889,1.0449222025619231,1.0072721941483278,0.9668434931924854,1.0231955201441751,1.0245514766953492,1.0291964264950533,1.0845374442930498,1.042992720274551,1.1056454140302654,1.1207123288561074,0.9662725630691867,1.017067192090059,0.9821479637073431,0.9503870983459438,0.9882233348774733,0.998306821369979,1.0571263194772087,1.036633382382189,1.0858200260699422,1.065762077891198,1.0461161237289547,1.0209117113464785,1.0424152989585866,1.0256155310003747,1.0098273434505216,1.0315867421068419,0.9565172160912331,1.020935156317003,1.003636749792857,1.0374972211976794,1.0399833260749056,1.3259283281904297,1.220091180572704,1.131554207990779,1.6996512676094924,1.7368790658871551,1.2646540888343818,1.0879159866646535,1.2001412481430809,1.0614354281320828,1.5450794384423903,1.2458683434023923,1.077468566665367,1.197912429692025,1.4036525453249962,1.1213553940498926,1.0902217158236784,1.095618148434862,1.1104267872200566,1.1640062475971984,1.054422827940661,1.0283860806610903,1.19109139118273,1.1078864178148142,1.2217912668971314,1.1825385769484256,1.3090624927071706,1.5899922060338698,1.4494659321635566,1.2944930390168914,1.161338525784483,1.3897110960615782,1.0933028308324646,1.1194200699889885,1.0564986469852589,1.1174589103428614,1.0814677012806955,1.1003347324515038,1.4972420152749704,1.1649093525211716,1.0258624221329873,1.0397945046853072,1.0314879340659033,1.0836934503695126,1.0302112635063745,1.052644494523385,1.0945928578700614,1.1916761672909573,1.140464205059357,1.1001109354101886,1.071853534201662,1.155895455235111,1.165828998671407,1.0612690185927545,1.0531863572144318,1.2862031317402625,1.0883371914577522,1.2393181696870648,1.101379955795052,1.1620875800706567,1.181863038494866,1.0349011937327852,1.2046422806285635,0.9244418588074684,0.9269563648154245,1.0254239820541624,0.9038424127496862,0.8820115410563318,0.8250717496503805,0.8799810756572936,0.8896604855959247,0.8651545642749545,0.9274873611022956,0.9352724644190326,1.0411407683296996,1.040367009169769,0.975911701379589,0.911423552914457,0.8460721500590392,0.8286737760261825,0.7965386655911154,0.8107207600917793,0.7507502853225462,0.843659920861795,0.8765264250880876,1.041523069681728,0.9425197560626674,0.9678900155152015,0.9929739267647368,1.1399795779798048,0.9965735159135009,0.9446642875187,0.9749919651312262,0.9583122017276372,1.0405524868569178,0.9507220912295112,1.0232297253474267,0.978670332330572,0.9337801059115904,0.9138883069480468,0.9275053391681183,0.9428108707424505,0.9194070283487951,0.9564845794988547,0.9510508533436476,0.9185845549698656,1.0426750075949258,1.0875864254362273,1.6109328913019565,2.1349112667964185,1.5090579543582041,1.2567960193155006,1.0822206825748881,1.1092035131093645,1.0755241941731857,1.1536082429843133,1.0105836282592329,0.9848530530276721,0.9241816728414822,0.9440201519654984,0.9517510768330245,0.99180042179608,0.9680776001372435,0.9719893638139047,1.0050885252279917,0.985217561741802,0.935421986048443,0.9486120869269697,0.9710929899735667,1.0308191074116306,1.0312567428634807,1.092444222686887,1.0686805401240467,1.2704625975469963,1.080809918533646,1.1316022693514745,1.1862841429618232,1.0848845795529072,1.0858606846110097,1.0695801019439053,1.0465829603453354,1.15272578022757,1.1950363808319535,1.2143968675643364,1.7100566131148567,1.0612114805541792,1.136409054442605,1.1145176380304163,1.031372258961498,1.0144820090322622,1.02075196923199,1.0119379278699778,0.9596118273712944,0.9512272730616543,0.964417237311232,0.9432821081808298,1.0181969685388232,1.1048027319608833,0.9642719516426799,0.9714881298351656,1.1065458133371642,1.06895902171848,1.0991861057703074,1.0795833271422304,1.2412787254172952,1.106040495087767,1.1267434931902471,1.2235710341222348,1.2607398213398675,1.3475986808395792,1.2819355643850359,1.2055430895743322,1.3838330622168753,1.1747976088459837,1.147720528537616,1.2437506528789921,1.2150092165064665,2.5333747516564182,1.359598402423052,1.8459852109715413,1.3400265572246624,1.4566488885144437,1.4911672400580458,1.5463100423750449,1.3582125961745095,1.3083467142936593,1.4823236846024066,1.3460973694390082,1.2376667446458518,1.1296698994893764,1.395184729307017,1.0053135194650207,1.0700049010119868,1.1781598446481734,0.9769208941688571,1.0630043259924247,1.348737669454533,1.5443528560165354,1.7659048971027596,1.7574041875094764,1.804640113802005,1.659179605972032,1.610989382548073,1.8261124622695117,1.6341282619801112,1.3954538854419478,1.638752561409839,1.6494853929934452,1.3724783916351557,1.5015778406803941,1.7024642983302076,1.5365143662340286,1.4066765477795422,1.4891932147570386,1.361006929423325,1.4272093400155534,1.426183599017537,1.4353485709103824,1.324346354434606,1.2112290387303566,1.252242981548004,1.1947979485599713,1.1468237907275205,1.0762554074469555,1.1331761928583186,1.1086899488491928,1.0575115983492385,1.0441522921939834,1.1084191878565994,1.1097874765899387,1.0827541726781298,1.103294316311114,1.1706830326003692,1.329896595696507,1.2280545027992085,1.1489251441889714,1.0813153702308238,1.0689106315668448,1.227982286411063,1.1462103316382377,1.164234466820322,1.1800789474953184,0.9502862087518121,0.9024688315961551,0.9220204380835977,0.8439216770179312,0.9177269416023975,1.0719287987903146,1.0990962387648209,1.637543541967296,0.9572089313190583,1.0735633218979175,1.1834386994600505,1.0184013716325024,1.2015314693121997,1.40717398518564,2.3312999017823377,3.702967844940162,5.2970249314339055,6.269380215556875],[1.5065978350905365,1.2041018898869413,1.3451682736229322,1.02549201054599,1.015965754528597,1.0115146465650815,0.9438358165730092,1.0494038815540918,0.9780685400408087,1.0014345581309758,1.070038099643925,1.109954694218846,1.1194311667922268,1.1233008875669945,1.3563692433895047,1.2924125188800157,1.2416782716091315,1.371150269276346,1.4082442404121398,1.3750554197059939,1.441765718219003,1.4001220601456554,1.4470348993745443,1.4315469238324872,1.3125261984585972,1.3703530394140186,1.297128284523345,1.2384188312322315,1.2979792325465922,1.2945192937066663,1.3895885040401208,1.3134014470374609,1.3528906086147703,1.3472538510981686,1.335687069236586,1.3308155455586494,1.3247165479976544,1.3293229461232092,1.2998425459084744,1.3185431545458333,1.2658466473125403,1.3342263317603993,1.3197563397586423,1.3231433143513647,1.3404083076592637,1.6023866331230299,1.4973247144610993,1.378094580318798,1.880978438785022,1.931089232955941,1.5562738678010954,1.434387184728994,1.4882036905667801,1.3690808836358772,1.7539023502318045,1.5571745894580105,1.4055915543871265,1.4886932100776988,1.6944056541997858,1.4452600575477552,1.4335260605811646,1.3983265220782308,1.432662281219658,1.561610548292626,1.433856919668863,1.371657151585223,1.6071182499611956,1.5009151367315607,1.5865027198634212,1.571905915802266,1.691932587501157,1.9377135618646344,1.8160861263193766,1.699867344933998,1.5461485661462124,1.68768012823227,1.4346628265896222,1.4229321298021813,1.3695575358934742,1.4086728153468144,1.3662043416385283,1.3709111279666022,1.7380682670406855,1.4447336924593404,1.2779855622087457,1.3073742191266704,1.328717728262341,1.368749693675375,1.346318262428349,1.331328758115026,1.4210087643172273,1.4982743409702268,1.497174398438382,1.4348059890250617,1.4078770714439461,1.548488657617974,1.505343278484884,1.344732478518879,1.2826273604478404,1.5117361455895661,1.339816042752624,1.5209276583539992,1.3868503029519612,1.441035895766,1.4699995652549687,1.3318464707731843,1.547889358102734,1.2658859422598827,1.2638634130458852,1.352582180105088,1.220165296307909,1.1577908840432694,1.0454614485739644,1.0948397751781358,1.0955072977074904,1.0854435256108037,1.1600747975248622,1.165985976834584,1.2908903697095686,1.3052883711036984,1.2236274796851954,1.1463865221712437,1.0809962663096928,1.0124868124988284,0.9759070991474206,1.019426453340148,1.0032033030820766,1.101734551763608,1.1623176209467374,1.3332565426157064,1.2504094741805418,1.2937337262087873,1.2908154219134556,1.4224872177955892,1.2729422152481198,1.194943344216962,1.1776596016830025,1.1645687644400162,1.2135743931321064,1.1522992777987597,1.205346641674712,1.2103849965189124,1.21298711109902,1.152650875246487,1.2008474633615687,1.2001026635595209,1.1627059179174741,1.1874184623845934,1.1794854476678884,1.1134774649602923,1.288024685453284,1.3102946997312295,1.8704172349044763,2.270903332604293,1.6865421541133638,1.533021265665601,1.3265017682974236,1.3818024872362156,1.311712562201194,1.413789827961305,1.2500855952756416,1.23763049866337,1.171006523416991,1.2016446588828222,1.184382535856066,1.2071082090884482,1.2061126423520065,1.1839114720728576,1.2025876108338398,1.1624937216441593,1.1521754379712081,1.167472504179729,1.2115583388232989,1.2756041298732719,1.276551359557885,1.3630288090959732,1.3116274532346581,1.500882733037866,1.3323666576974889,1.3884886137140864,1.4226790748409568,1.350485058557935,1.3636313749191338,1.3512175323412698,1.3183615481729423,1.3841295332002461,1.4287743346099813,1.4482051361101251,1.9392095869286254,1.3128850002921837,1.3954020980696937,1.3293572459370104,1.2837406114738485,1.2910261487373949,1.3210909516194593,1.3329186099888528,1.2703251943367322,1.2884731792356794,1.3125745698770417,1.2973373348429096,1.4144930931472628,1.4972637138027012,1.3453659148364907,1.3622099518910242,1.5202421365690033,1.4694107713080204,1.4268986076628074,1.4708719388375273,1.661619604033218,1.4715242320004769,1.4678369245895289,1.6019493551504433,1.6221808470881218,1.619398740988829,1.5828582372751825,1.492856263606999,1.7246001788224177,1.4871715727128816,1.515818391881779,1.642048901095633,1.6435488470560284,2.851052827224003,1.7918152815986745,2.1463126127475665,1.7711501073948803,1.9268175448513876,1.946071545687314,1.9958265357264942,1.8233371560784286,1.736721865913777,1.8940690197428942,1.7770234220876469,1.6355326247507687,1.5234746148638258,1.7284710230224611,1.3750143517693054,1.3873584372893333,1.3722806408946024,1.2842598842087973,1.4289189634197368,1.7474547680870538,1.9515009707018134,2.1650337090485072,2.169651510986252,2.1920370228224173,2.0509589505231864,2.0382649244160076,2.255431724331694,2.026883589073291,1.8133434851675836,2.0555331805030455,2.0398017427487733,1.7814839261133164,1.9436512986902883,2.1236529315042687,1.9287216400254756,1.8245677650601655,1.9353665879898534,1.8021390701740174,1.8887063772131394,1.8751276897004325,1.899542145257282,1.7865624192475085,1.6393828508036918,1.6864173293970521,1.6373219825285599,1.565139522634837,1.4836562945761038,1.569276683667923,1.4771664782070166,1.4125080363338394,1.4284604265885843,1.4821499068168273,1.4318261403761647,1.3926694771228405,1.3740909926326514,1.396348640669228,1.5114488265692345,1.4566243078033516,1.356510347073657,1.358547157965482,1.3254341415688617,1.388240276576926,1.3400050469946896,1.3425747347668109,1.3266577013095358,1.2081633279881991,1.1803414540302626,1.260756105263688,1.1383172598306208,1.2467225039734746,1.4499564764327368,1.5213763360323986,1.8298760150164695,1.3261429665156417,1.4579233497043513,1.583025364471365,1.3642654900865758,1.483527483683371,1.6904094279814772,2.492963037311967,3.8644036495872873,5.512023651424686,6.740495383111751],[1.299678687007288,0.8576779650850807,0.9486932320487435,0.6333813884820111,0.6723252875191269,0.6800215909400803,0.5960346401073424,0.6711304381987898,0.6384008194080879,0.6389982482843951,0.6774820683687582,0.7298667207686981,0.7023693468667882,0.7059678329934567,0.8702041463189925,0.825168476696196,0.792633003394745,0.8843749125392727,0.9853383325449883,0.9002451333625622,0.9754672932717389,0.9338348915740723,1.02191551485037,1.0566044232955043,0.907018836844741,0.9491821107064878,0.8631912411446692,0.8028461555944951,0.8250302447985388,0.8343947188860972,0.9113046027417641,0.9152834701713225,1.0082451950459954,0.9907746448814145,0.930527299346543,0.8737365143772561,0.9297904757609889,0.8657927109156579,0.8548770802413688,0.8929330752977334,0.846602727608498,0.8905326591682583,0.8841679336414466,0.8869134680753732,0.9401857959431897,1.2585913899070948,1.157531343804129,0.9836678840062829,1.5518643989966239,1.5328745170213443,1.1197718918972386,1.059431888370612,1.115728960653047,0.9594387666622504,1.4162464300367128,1.1386054260576963,0.9437074005995179,1.075236308764064,1.310579155091267,1.0045075297294457,0.9782253775020037,1.0023949226169178,1.0306540545302902,1.1321740106745535,0.972168506744322,0.9086358528961437,1.10650258756684,1.003882254456166,1.150570980359399,1.0842599521321732,1.284419754193623,1.6378816817227202,1.3625965143031598,1.2717100950498386,1.0517022018408506,1.3248930593659958,0.97201073844671,1.0174735823737564,0.9610701844427767,0.9872928299470012,0.9832756724188682,0.9812999275495028,1.518002791120272,1.1256971990627735,0.8709564409358621,0.9114476321502655,0.8883563917703999,0.9762551623220576,0.8981009468656243,0.9639215848010387,0.9770680818875318,1.105152593677425,1.0491387373172936,1.0070628445358105,0.9391727997544188,1.028951463377941,0.9969285830752463,0.9531246198757375,0.9582488447390171,1.317650980369177,1.0598457549046705,1.250005681860425,1.0643350764785215,1.1218914605676855,1.1237008154499903,0.9368519233114707,1.146112325564414,0.8290754863954325,0.8318347589420935,0.9890122874374773,0.8000687641261497,0.7499544211431962,0.6711116069188762,0.6993157762461794,0.7072060578662563,0.6964227060720884,0.7634684809572452,0.7633298658835623,0.9218256081666873,0.8956629539653214,0.8369474323683512,0.7595281518896595,0.7287626386764798,0.6728763518912039,0.6210250894535011,0.6396933235642663,0.6440006618236663,0.7085677960529114,0.7318395909707386,0.9008258888807447,0.7942590364514566,0.8433844549795845,0.835545531698622,1.0062966817042933,0.8362882413312435,0.768664763132916,0.7902606889247052,0.7310590217056157,0.7934506141245949,0.7214015718198638,0.8076703179816591,0.8169626920485663,0.7998912866839665,0.7582459896119548,0.7623972808299868,0.7750111600829619,0.7325265969232608,0.7873098830419084,0.7845357984000845,0.7483993113079535,0.9426424490500163,1.0076361563540115,1.6016995236715859,2.1469756071976684,1.5252639483399353,1.263977086077439,0.9987618104205226,1.0521332906873724,0.9520614019038188,1.0396168564338513,0.8359452938619685,0.8264684739003951,0.7374457442549176,0.7683294473430413,0.786085783176208,0.7974646028769998,0.7657540788235475,0.7754501861303954,0.7945270601878499,0.79123594319187,0.7233332317698684,0.7329954148657986,0.7811583530284636,0.870467888721988,0.8848334241749422,0.9917884668689457,0.9466601371825023,1.1899347352928058,0.9584727075942512,1.0394118710138442,1.0563700861359517,0.9629350005828078,0.9653532085026114,0.9389924413746802,0.8854089381375484,1.011975651447131,1.0638884675168898,1.1005084219100947,1.740136897393297,0.9906807279057708,1.0900492717843633,0.9708954136052705,0.8657791816690359,0.864300796351436,0.8614861552581186,0.8796064816245631,0.8103180140420109,0.8173806915888325,0.8345913541188306,0.8457804786270674,0.9344441994868424,1.0379283441933806,0.868063756366092,0.8708422599782412,1.0453874723129974,0.9969980858902238,1.0199958851762663,1.002959647566092,1.1965360622763335,1.0274601684883315,1.048129966567978,1.1531796889098038,1.1869441100627696,1.2526433069678171,1.1908528182387987,1.1245593205918398,1.3174855234058545,1.0983466437719516,1.0645793664041165,1.190188962082255,1.1654774400158479,2.528760982594441,1.3299681913465669,1.8425718045990505,1.3273050942351594,1.4553463758453984,1.489603120731957,1.54368920061535,1.3227758407791619,1.2416260942220712,1.4290474632845809,1.2885791556813624,1.1592473801880059,1.0357096756531834,1.298303859445819,0.9110446970047296,1.0016466139244828,1.1521036536017428,0.8898572448050691,0.9714503174895821,1.2859597643892828,1.5094710544506313,1.7650938320690912,1.7956646642483733,1.8298683130189835,1.6436089930427606,1.63653017804107,1.8835951008611342,1.6418256040252532,1.3879089916780616,1.6727093718455366,1.6760333182193663,1.3556516014823305,1.5187596090770394,1.7446771265215228,1.5312263208862367,1.3904255857085497,1.501765383264341,1.3478779117795687,1.4386500898287025,1.4288301755375667,1.444120893133075,1.315986997263781,1.1624453006682023,1.214623008646305,1.1453241995658772,1.084708314364838,0.9920614168851123,1.0575345093337571,1.0580494009588286,0.9915569394559898,0.9385936631381072,1.0256692238461758,1.032409045971478,1.004004110519932,1.036970924508586,1.130711217919111,1.3154926565544078,1.1813233631410613,1.1144365528011297,1.0089183051116213,0.9967819155852331,1.21133484270357,1.133486589931339,1.1719368153688368,1.185184550468131,0.8938261943510523,0.8285987937664624,0.7912414812398836,0.7144070168804234,0.8176905083555748,0.9965074589330996,1.0615481445204467,1.614782414429689,0.8749870037789015,1.0234084828542052,1.163255126125412,0.9639171711283226,1.1312954466686838,1.3904400515404096,2.281514849691966,3.637725671184172,5.234388978878574,6.185393375084376],[1.331958554973181,0.8815467459853774,0.987805979424891,0.6281963436332697,0.6801876286023422,0.6599341744284308,0.5938959310783446,0.7259673330688342,0.6516871127664824,0.6325902906520039,0.6972266774734213,0.8433916492001577,0.7794756444792862,0.6938421876637482,0.9312199346421413,0.9304050304169416,0.8299764584095914,0.937611397002009,0.9732207134857455,0.9588613657095606,1.0231272675588567,1.014932759110353,1.0581931043600172,1.0457945490858611,0.9176394727435049,0.9428829375442084,0.897822959546633,0.8289882302541713,0.9008355430554031,0.9548111710137345,1.0497848085408998,1.0947080496541528,1.1953444561368745,1.1767022722862017,1.1093675970034278,1.0125880877309827,1.0920301210937826,0.9896767878941608,0.9593047375830169,1.0225442808707295,0.9192504213734314,0.9723809976394556,0.9837414385820947,0.9535059925010261,0.9785808652659849,1.272563379071167,1.1889684403305563,1.0334848911615053,1.5811281789725642,1.618666885171748,1.2066436360556816,1.1189654107937872,1.198562502608801,1.065188992422931,1.5166395804019983,1.2649887291884077,1.0528667964802918,1.2130098126043332,1.4495735365969682,1.1261680991136684,1.0883582181879434,1.1308276964123163,1.1739327347770623,1.236060237437994,1.068569490465232,1.020847522837891,1.161434500662318,1.071396082914918,1.1541897256872964,1.111501587900595,1.2533349030913807,1.586886001085415,1.3767537656104851,1.3216916872001132,1.160875804598433,1.472263969373573,1.1250599613650543,1.1967559220107054,1.1286890398937839,1.1335148088033067,1.1328418547149897,1.1170675999035549,1.6129412469048214,1.2410295964267282,1.018685538609649,1.0644867810202752,1.0343788213815095,1.1485661784370904,1.0461263821914182,1.1459369484461066,1.126402972122171,1.2788898601173766,1.2058964556863339,1.190642480129206,1.095228001895942,1.167178530156149,1.0890461825234898,1.1300206367415482,1.1193852267426818,1.4190200703081801,1.2204329791888335,1.3807384171481765,1.1987480186752832,1.265219381900365,1.281039714006577,1.0583084862957624,1.260105848436263,0.9464047995373295,0.9185709926592937,1.0628371636569742,0.8569778604954909,0.8117478594009437,0.7071124640215027,0.7329924751464026,0.7271123546923038,0.670542833316812,0.7531714825691512,0.7088664888920803,0.8731311838886333,0.8778964357682737,0.7664641730102306,0.7086561734761171,0.6429078554212623,0.623023145301317,0.5932469203478736,0.6260899751972993,0.6494419059571616,0.7592580424870309,0.7870982983409919,1.0015894676609844,0.8543803435022727,0.9266762469360224,0.927727864232963,1.1159941935158488,0.9211363159732108,0.8357340403880633,0.8281770130319815,0.7449499818316966,0.7868870511647601,0.7352554152293551,0.7710943415325273,0.7994438188085841,0.7731099172478509,0.759624667618345,0.7921832801363943,0.8382070679864208,0.7832435990081945,0.858160496990576,0.8728393721098944,0.825895159183744,1.0082458156454632,1.0659415066008995,1.6802802475586136,2.1392179657908272,1.5508196935270464,1.3628414738435932,1.13103527189025,1.1806066851747195,1.0815870305792414,1.172482275811217,0.9393503000179556,0.920346323554567,0.7917839133654618,0.8671927090654168,0.8309631531626069,0.8264570199015969,0.8354097970449159,0.8221609269830885,0.8584445308016947,0.8324411327532896,0.7956906057608591,0.7914123139794714,0.8778607677252941,0.9761340957083143,1.0128693762808625,1.1252841206188053,1.098099970214366,1.348761829178932,1.1059289257933997,1.2234319586859344,1.1712360561554158,1.088848796403324,1.082015377417068,1.0439311974654837,0.9975678881250539,1.132730714678827,1.1824240464221585,1.1961491317996442,1.7738472450295306,1.028472300356538,1.0940962036549589,1.0544026220749865,0.9354634468836917,0.9455340349597999,0.9589871123791668,0.9402138332112713,0.8562957297941652,0.9054996273100696,0.8794569739538789,0.9148184401266132,1.0175197600867694,1.1357501793845877,0.9368594153615124,0.9165770137379001,1.114886197208403,1.045561023827113,1.0002982906055917,1.0133491772118002,1.2470036348123767,1.0178874418288488,1.0395670343981986,1.1534174515691957,1.1635314465205069,1.2263154161523517,1.1829797475070676,1.1049245337078537,1.3355742358240172,1.0904963555471539,1.0801134440170332,1.2290665535516128,1.233490064518261,2.6048462428860244,1.4194033010597986,1.905267395338922,1.4216324915727163,1.597336633331257,1.6519855918286543,1.692892328144858,1.4685754028434317,1.3707224782628415,1.5462377030610546,1.3967976610822528,1.2519593776317501,1.132471125797928,1.4048404727915975,0.9848511939849478,1.037357903429035,1.1949563719360208,0.9285791247598024,1.0942940860573735,1.3954200583499976,1.6356736750470897,1.9028594040855829,1.9864841929241797,1.9984767474152705,1.7863592204454717,1.8055076811409276,2.0738071611175695,1.82105221576007,1.5203036100186185,1.8300557050763433,1.823850047293545,1.440428016336956,1.6364532878047633,1.8683123272673698,1.5939208392284292,1.4337592724224384,1.575492084848852,1.421059319911793,1.5465109779488897,1.5487267709377712,1.5602702831495208,1.415205241835003,1.221797170397508,1.310300488671405,1.2189471647713537,1.1240739181136616,1.0384222601637687,1.1354872087350574,1.0894429573288296,0.9891327924214728,0.9448352916711363,1.0212736465360333,1.0461074609659184,0.9848444345074913,1.0233839158063125,1.1290693508876228,1.2773829058352235,1.2482530118837956,1.1133018865423707,0.9825700263551157,0.9890990015872797,1.2258397123716582,1.1494527795612532,1.1813778931030814,1.183261252666723,0.8911207107680758,0.8191063815123542,0.8245191770660792,0.740401729760439,0.8254722059256475,1.0642564889284656,1.1181775059238015,1.6811483879589788,0.8896274062653587,1.0276923668977682,1.165608467913802,0.9932846643792028,1.097524351037306,1.3817436022630374,2.135608930021725,3.4850442962009893,5.052634127146062,5.825794722317242],[1.2826703804749158,0.8038954056001227,0.8302304673595566,0.5485845468404045,0.5903232092658643,0.5547009654698497,0.49534115227481995,0.5911103272185569,0.5180730170296088,0.486670566617671,0.5155441172275267,0.6625338346135017,0.558273306259758,0.5010896101405297,0.6949507477359019,0.6871943814269039,0.6119141293646696,0.6982863068456014,0.7944499767240725,0.7373415791898627,0.8298502259388969,0.7892785528474151,0.900802941679738,0.9137153567030726,0.7358913285554695,0.7728486854664346,0.6852451283096878,0.6134130520705294,0.6560132013217838,0.7075408944081526,0.800916313853939,0.851788092013873,0.9989989198764435,0.9784913189976692,0.8760653599832119,0.7692055790333787,0.8339441545249526,0.7179115710997027,0.6985960395042905,0.7450604895331937,0.6665573959475622,0.7345774342526351,0.7325888750527915,0.7459909922010688,0.8038878783865779,1.1490963537617565,1.094290076123693,0.845437385081879,1.4084071795332644,1.4737290813508244,1.0043516161058705,0.8982451808677439,0.9711331426868971,0.7957172028698791,1.3379282332174967,1.0237695394423234,0.8107719014919802,0.9994261834929533,1.2248700819835314,0.8993895660510027,0.8428443753616314,0.9024312647923349,0.9616918442838663,1.025022779286757,0.8513335994541898,0.8058691554558736,0.9665107475275294,0.854078595206068,0.991717361434756,0.8853146025983839,1.0995839957868652,1.4479163848132661,1.1691534055751946,1.1181694411531777,0.9277899482502475,1.3086978094284236,0.9017104570382419,0.9955917238498757,0.9157840117714506,0.9120902455329661,0.9010879454363812,0.8579106726789233,1.4020189053793604,0.9563933540932161,0.7407593699399287,0.7766303221568367,0.7772735619644408,0.9082305436195578,0.8055052750016184,0.9409542906596403,0.9221442469297023,1.0857702587564062,0.9971734463619337,0.9826255992332606,0.8643584467041894,0.9365637684213017,0.8568972882655467,0.9305562259171936,0.9338119184280803,1.288232642816758,1.019054485640103,1.1849430910107692,0.980961761830681,1.0197593847771023,0.987102045248607,0.818043457104334,1.0096881740408563,0.682039419035676,0.6965293677096503,0.8763875636692431,0.6455675256823618,0.5969012550197499,0.5334676962735753,0.5547588683897707,0.5577224053543455,0.52039091009045,0.571513161521459,0.5658508102629218,0.7354635100906581,0.6822619253075216,0.6105630462093843,0.5602623719157414,0.5692899978708252,0.5127055543379162,0.4856396619432548,0.5074771453027604,0.527475780458239,0.5709217429523362,0.5755509008079563,0.7325199894537967,0.5996117780249669,0.6687123621996276,0.6373093988828986,0.8455107938049975,0.6522988867687181,0.6057523358868642,0.6708110527311298,0.572674342447072,0.6266984207107209,0.5579764232350971,0.68803095273317,0.7228734358865498,0.6586767948190342,0.5690349185594031,0.5743915357210151,0.5995246134458887,0.5613604554077912,0.6403688629354634,0.6628390366498634,0.6569920022734472,0.851027118087862,0.9750963189211072,1.5639733132970968,2.138621155895592,1.5279744388375336,1.2100337044156677,0.9320194941418113,0.9745550966506563,0.8637251478775413,0.9202603890302513,0.6970066001917271,0.6688216514380414,0.567378384050766,0.5911611859453836,0.5998824195364304,0.6413720242071135,0.5871991125673358,0.6052710620093946,0.6640837588830161,0.638377270161192,0.5761828302665291,0.5670113177386285,0.6039361238470281,0.7042758446116728,0.7374591704029853,0.8668689999277749,0.8399558673730195,1.096189752596163,0.8344822353448361,0.9096451790231609,0.9548065888086688,0.8149708218557392,0.791241090122992,0.7450299812829462,0.6924514160909612,0.8624994099808609,0.9528940189140144,0.9730672139599331,1.7136105293590416,0.9194048653948733,1.0353522415375596,0.8054244617906957,0.680108615584348,0.6862249293032862,0.6592277497837254,0.6665452201335689,0.6394467314097254,0.6339001462792614,0.6448804888035622,0.6764503189607967,0.7497755707817794,0.8741599987353084,0.7059131232321014,0.7054413434589163,0.8685713952739038,0.8327627339371374,0.8486391985778583,0.826268501285043,1.0442316241739313,0.8553838504231642,0.8771722568823833,0.977444535639576,0.995461362602249,1.0703144923604742,1.03595416936593,0.9788510399312584,1.1661304817468252,0.9912446847300954,0.9145889998890662,1.034230089061419,0.9922331886518779,2.334021936950481,1.1752385935693672,1.7591796124070345,1.146390593725126,1.2610592948434363,1.3061621439815039,1.3232112671617131,1.1254089465241657,1.0649915820018439,1.253514070801597,1.0829890312707362,0.9763438886942538,0.8500436410675072,1.1428271824363871,0.7447306548641897,0.8850239957051845,1.1142123354809192,0.7625147839339793,0.7763197023944871,1.0921572349421567,1.343779574691498,1.6128246892056166,1.676146073053557,1.6987495728065032,1.501781827439682,1.5139266312236925,1.7772133460372708,1.5559723951390603,1.267458951550213,1.592455585215327,1.6253793481970435,1.244263239496507,1.412803226877738,1.6715829064509438,1.435884867665301,1.2493657838459553,1.3643286708065294,1.1990266476819356,1.2855698703661342,1.2785458527742934,1.268319083802261,1.15183004524636,0.9929151905326903,1.0371404350867208,0.9589249955279953,0.9143571959168415,0.8092186412071072,0.858817618687163,0.9229825247319452,0.8614799921106903,0.7966787906535933,0.8713951620122162,0.9941621984029508,0.9663713105111165,1.0130529734608107,1.1455494401601036,1.3172089013003272,1.2061931354929003,1.1005054818569768,0.912339961697151,0.9034094371510855,1.2358506298432226,1.1620480200027685,1.2342042461683738,1.274236889041899,0.8496932009894185,0.7371940882426469,0.6258062907725525,0.5818695040004511,0.6626934998656957,0.8550220055611443,0.9217726704855944,1.6520429062054458,0.7282515792488294,0.8640989907738809,1.0138749464772954,0.8834521590829587,0.9506095095785253,1.2221090422005043,2.0234291965674154,3.3919931078559085,4.867258892809362,5.44304529285161],[1.384238299443629,0.9159364507462722,0.9279969927646624,0.7132906771273978,0.876911837059792,0.849044510444478,0.8562767143645389,0.9760846607486701,0.9171621696925363,0.9097186492191768,0.9616663672457173,1.0756897890939943,1.0111010732444807,0.9166701280863278,1.070886917152882,1.0912449540233942,1.0342872172028026,1.0999371727303189,1.1563243022956164,1.1101599024038422,1.1750516107917697,1.1612029802202302,1.2806403848808385,1.2256849592888501,1.0963194126430391,1.109819496403338,1.0589748212489485,1.0104167030730586,1.069037760641012,1.110868669971864,1.209089754414536,1.240342994627084,1.4003819941332631,1.3727813341547697,1.2875024290394748,1.1866587923647651,1.2290021044035957,1.1282169254471253,1.1033373068228098,1.1458695950896902,1.0603363084662258,1.1046875788589485,1.1045196791115668,1.0754811123461543,1.1103038596452262,1.3402923876953927,1.3507050495914557,1.1212151088815545,1.4795083639599427,1.4947724767875459,1.311739418365624,1.2151708167075488,1.3721399276590298,1.2161461921293129,1.6851549144830573,1.4256372351477737,1.1979136569028106,1.3944587716551693,1.5943360450711968,1.3370658502655162,1.2525636727272988,1.2964089465556805,1.3367287365832834,1.4137919636707952,1.2525826692583515,1.1835666497340565,1.33584693367549,1.2261381185535574,1.2665666088878902,1.1939169307098958,1.3286647037436947,1.6401795051572166,1.4187344992385276,1.406389293117531,1.283922334518128,1.608669458202724,1.289898561994962,1.382607854652023,1.3202698981067706,1.2993477680685275,1.2990663705580054,1.242530814530085,1.7169932741660558,1.3282523804658297,1.1371665800239654,1.1743655359885425,1.1871694754143045,1.2614509283335973,1.2113939336153878,1.3426726443019035,1.3166103923588577,1.448502011144199,1.357716603445574,1.3744642396345348,1.259022151730807,1.2957853380060178,1.2296635833679723,1.3128163461427158,1.2906954058543385,1.5556114080483927,1.3621585335045803,1.4240889233689173,1.3201779361836683,1.3296823678733782,1.3295337540568875,1.1637388956504375,1.2927681213751565,1.0495533132442167,1.0446540379313656,1.201986146038258,0.9692333328451144,0.9483935624151391,0.932539919791689,0.9446501731419785,0.9334189911217177,0.8931930875364675,0.9491594182881145,0.9191077298095336,1.0852061929653158,1.0803473928068592,0.9958246535889683,0.9302309812345231,0.8646461213449983,0.8309861125737745,0.8421721399939893,0.8735570331019533,0.9005577194028523,0.8963393230741077,0.8999979749629987,0.9921314485818916,0.8844678768016228,0.9561495401088849,0.929851813577449,1.0651759531579663,0.9554328697685505,0.932860478755076,0.927519443816627,0.8533690883902054,0.8565491056385788,0.885283736123055,0.9607440381034591,1.0317618283006307,0.9874640037215625,0.9206065428305902,0.9747091695599925,1.014688325726523,0.9511975300905856,1.0067256581334199,1.0160491600170984,0.9903802136655617,1.099478069139939,1.189807084175997,1.7235902579872893,2.2915085110410693,1.6860400525505055,1.4543508758045163,1.2382720579813724,1.248174287940307,1.195688544494829,1.1889102034825172,1.0140914928974587,1.0447951347336606,0.9232534844756399,0.9946957106423235,0.9459401465078158,0.9379800402187838,0.9165061054472092,0.9307081279981758,0.9711123110271832,0.9552448514655785,0.9026191778598058,0.9021928589247111,0.9362469292947121,1.0236327614204364,1.102315727364896,1.204949393797433,1.189981918379622,1.4212170537632534,1.1907706006295156,1.270895615855506,1.2332104796497276,1.101378981119914,1.078070702394055,1.0709134824237012,1.0224766065107145,1.2059730752021025,1.2829422114852054,1.3818380119947642,1.9705095046396799,1.2333038024736052,1.2997152972779702,1.159257331383418,1.0036627658841712,0.9718152695893892,0.9167955817159894,0.9204406153353204,0.8939713457812105,0.9151137361814842,0.904464883429446,0.9759611706186776,0.9851692010539659,1.0787101345970438,0.9671495748430395,0.9390532907676862,1.058547842810683,1.0225066616039904,1.052453638541974,1.0182337310950167,1.1943240352506739,1.0228978797362691,1.0378226576994452,1.1035472482950184,1.1208208446563122,1.1874156989150548,1.1475380516435711,1.1272806049459023,1.3091766110630074,1.1566762807275404,1.073077175407151,1.1796977816067615,1.1652326476046988,2.53877668982718,1.3546173753563509,1.7509882229279015,1.289346214109484,1.4298498562061843,1.4695467927921133,1.4638461948854187,1.3063783850862443,1.1941360633407694,1.3671487118094425,1.210720910667648,1.0853015944575461,0.9961782613482772,1.1908123970088165,1.0257186448111208,1.1915126102652212,1.4144857264396886,1.0642691602483776,0.9857889382798806,1.2119810047936677,1.4436207439786664,1.7156540071306856,1.8060543383540593,1.8264157133565468,1.6153886009248932,1.6516123070285655,1.923326933196298,1.6800202593133702,1.4144961620986884,1.7086377330464853,1.730894740790811,1.3709626072236318,1.5361513461604046,1.7754903040638856,1.5398605140206894,1.3764729150324664,1.5008744177648767,1.34280462599804,1.4223019572933469,1.4082120487355005,1.4028006447247796,1.299130619764331,1.138738976844168,1.1823884886908538,1.1258395637383305,1.0822538786448803,0.992514147325101,1.0435761373113681,1.129477344535589,1.0600573904643924,1.012414583566992,1.0728004479322146,1.204355085570967,1.1705334395808422,1.2159238582836773,1.3449150368360043,1.4722406511823303,1.3923118283646094,1.299762664677292,1.120367778621396,1.0951785471996622,1.4203560768051502,1.3794725171484523,1.456510944461874,1.4939645079339352,1.1002685206285523,0.9918063958299987,0.897325709753946,0.8810060629466963,0.9206291626795201,1.0774734682412315,1.1524575601535725,1.7720027804147718,0.9800051410635537,1.0488399665537251,1.2184743892987886,1.1427724873289293,1.0669979754669463,1.2654924312979348,1.8921986232236603,3.1881687106342107,4.650541058955532,5.19219725010995],[1.2392675227546852,0.7814920422435474,0.7730519525663764,0.4557515379150659,0.5600991199160337,0.46139225118746907,0.38522461055965174,0.5160940000318834,0.4206908704455904,0.3905838802908949,0.4369385493509641,0.6086401408610977,0.4753149875675663,0.42137301181179504,0.6247679295942422,0.611002546094779,0.540166133021324,0.6290168660941703,0.7333080002229019,0.6693102698817086,0.7741209481681908,0.7380812837221454,0.8729391615829721,0.9126396657605484,0.6978941748026947,0.7336180717318986,0.6207948589849347,0.5450108087450343,0.5784327289289964,0.6225734808148888,0.7396087411786939,0.774201453431464,0.9531518803756165,0.92981326162561,0.8038945731116356,0.6886334052400568,0.7299859027687918,0.6310972764601659,0.5921300155448987,0.6251440178423763,0.5946140864237534,0.6552209326963206,0.65294845784621,0.688788893184621,0.8031971920867975,1.2195216111660345,1.213522758973864,0.7831583487916666,1.3565303085660338,1.4701160486466174,0.9285243902558428,0.8776240594525303,0.8593423113554138,0.6848110177928807,1.2299295922792874,0.8880916576704235,0.7083350693158784,0.9063115422509364,1.1260283611969537,0.8414670168198133,0.8031220619576807,0.8880037860485884,0.9471652517263358,1.0177849674610757,0.839237876219134,0.7625578882605952,0.9478783530444911,0.8007082091604769,0.9475994414670544,0.8288603013515915,1.0317015361564557,1.3756306973846553,1.1205154774430333,1.1000117195552275,0.8859611413800041,1.322664868682105,0.8580180385443178,0.9550675470461253,0.8613402571097623,0.8522072109762687,0.8138528563755286,0.7577747921008934,1.2837606803737085,0.8019692793986168,0.6534727183112715,0.6634262514881256,0.682788071330884,0.8273180529470697,0.7331045572714904,0.8916507920719634,0.8787455625823536,1.0776112576667134,0.969785525801152,0.9538947409651469,0.81651067291749,0.903292401106476,0.8024418543778493,0.8751755244359956,0.8703379791708274,1.2311040622520335,0.9444951360833138,1.1082924963950713,0.8950687949613401,0.9085991880509307,0.8547768364096445,0.7057678266563606,0.8747728014429186,0.5867584851860846,0.6256692530641399,0.7416643849298407,0.5398827710596837,0.47175080011494525,0.43240694038175737,0.4668639065787384,0.4665597769767972,0.44927327639710923,0.52074412795099,0.5033598658836047,0.7343221365881354,0.636479292959513,0.5750534711321554,0.5087343664951013,0.4849220328034016,0.43061822989056453,0.4327919237113315,0.4588486167611,0.46273129276337016,0.4701404463097035,0.4733740288176424,0.5996046571641227,0.4881969503679233,0.5480562713811011,0.5026403851879742,0.6780199148018089,0.5267923323605006,0.5004615878929253,0.6033075559734712,0.48794372269717545,0.5155873363364984,0.46399764093971624,0.6362010967838128,0.6799074940662245,0.5943909793921733,0.5033403782833614,0.4747162432535123,0.508878900766989,0.461268009192479,0.5296318893647175,0.5471042746796848,0.5711136927809103,0.7543217500751062,0.8980165848052838,1.5137410822366788,2.0483312469246915,1.4622922685807902,1.1230373712131285,0.8431824314800191,0.873109301776596,0.7573135730385259,0.7975677710461443,0.5775709332710648,0.5514178542045344,0.4471288345556196,0.48565957947490235,0.5126451579022085,0.5409636778913334,0.4974165372221816,0.5680040276066506,0.6695903574064483,0.62693221035425,0.5217675360258999,0.4750253759563666,0.49647095914569694,0.5630994835606122,0.6017277098140038,0.7415785768721728,0.730570271367597,0.9961725152221665,0.7200613828570498,0.7831005268207958,0.8271699915199555,0.670814950003466,0.6362983327704064,0.5790305496257692,0.5301899877088398,0.7433287370275905,0.8704730133157409,0.9016026471889256,1.774443356017114,0.8772156650611653,1.0112816324241523,0.745868565107407,0.5636074944629389,0.594189621902011,0.5286494155560606,0.5226211026944713,0.560093518531312,0.5328090942520756,0.5517465723551108,0.6125585402489767,0.6326970794578759,0.7646996941613662,0.6045282422680024,0.6112946391598174,0.7834461152444736,0.7538685329232615,0.780024671204989,0.7558725027242691,0.9995567476930405,0.7840720803688754,0.8203661305970644,0.9297435093945903,0.9433494558329196,0.9820444802844029,0.9876220420844232,0.9631848193981789,1.1482304417809068,1.0220347753622283,0.866109521421313,0.9862686042966664,0.9527192576932959,2.2230783959697185,1.1717940659521717,1.7559163596668397,1.0825439111109096,1.1964503960062982,1.2132902951015583,1.1905882578554765,1.033450855965986,0.972022634062906,1.1268414991629634,0.9582246310935744,0.91777315793117,0.7659281400126339,1.0161597721073146,0.7759625674483028,0.9088937687022081,1.1734867675548533,0.7381334937545312,0.6655012052917029,0.957779531313023,1.2383440674638064,1.5147698387067452,1.6419959781075826,1.6256368023959553,1.415284692026018,1.4734891444179312,1.7617013835998074,1.5187742722832795,1.2346594615544813,1.6216477945444938,1.6795581512441384,1.2427047286652362,1.4371399701423457,1.7333372562646288,1.4762433209552708,1.244788164658097,1.379009856144982,1.1952945110878563,1.278386164965364,1.2434679810285854,1.2162319556347354,1.1150364227915741,0.9254771591408776,0.9507741506139883,0.882328531803282,0.8474734408974128,0.7298849652258449,0.7747284802797946,0.9500639357283256,0.8587941037013492,0.7794409191748796,0.859575086444455,1.0711719690507215,1.0518189962139999,1.1120725119843464,1.2900464607893454,1.4380268381046355,1.327952308224561,1.2233550011200107,0.9517543627921495,0.9257816113059968,1.3637498265546024,1.3058404757279352,1.4080892613641407,1.4290086901553147,0.9243406603518293,0.7742141866721672,0.557211053896772,0.5280091561230417,0.5917841659741758,0.7470150400610899,0.8504101418389554,1.6450816194447075,0.6440330538854978,0.7985462379107401,0.976316379042305,0.8374289125042241,0.8368878730614661,1.1666108584869985,1.818142672422914,3.115726529227246,4.507162035990901,4.684980178516207],[1.1852781485981971,0.7370596535383644,0.6880799476866113,0.4510323576211134,0.5394364407060526,0.4466659212806979,0.3687398274811063,0.47048619472354913,0.38620667152655525,0.3631858198374859,0.41873242053742316,0.6067702424187646,0.46844890304227277,0.41306316911634994,0.6009323805245443,0.6072458433593158,0.5329360842479764,0.6310787173273933,0.7852596272111678,0.6957099493529484,0.8191378450772465,0.7783423715556084,0.9536391368022269,0.9867247595913133,0.7651954749526251,0.785593518739952,0.6371254546650754,0.5391578266167144,0.5776263462030055,0.6181831899358515,0.7607033484526112,0.7964820581998742,0.9991109840420569,0.985783598645151,0.8401211810819592,0.708884743007828,0.7470829012937998,0.639584524026775,0.5915889872614978,0.6243853622165583,0.6087055275405556,0.6783103457872849,0.6816666883685767,0.7318998011716388,0.8591676638792403,1.2659652072536842,1.297763428007617,0.827276402531434,1.3526548139364944,1.4664732045335591,0.963235066506384,0.900606516555182,0.863351424942341,0.6923518177011778,1.2337769454083105,0.9250545564364029,0.7478397001384732,0.9482033988552956,1.1548794642026805,0.8966131413825766,0.8409257319565143,0.9164415375163925,0.9895419131362088,1.0889350161558935,0.8989799021590538,0.8209294002318593,1.0008326650289836,0.8333663730437757,0.9898581968366585,0.8343389548055666,1.0459358050730216,1.3530192514871648,1.105627348654816,1.150032986030311,0.9281603607374517,1.3761290372996118,0.9149571405657205,1.009062525786855,0.9088825902296213,0.8948337290533146,0.8488952098058095,0.7548568951645004,1.323214558826437,0.7962556208841959,0.6594733655158381,0.6619713445009475,0.6945257215478339,0.8406011731827243,0.7694211045022328,0.9402989302407745,0.9325421309156503,1.135241627817265,1.0232937605392367,1.0125323891975782,0.8523750527113092,0.9499259097429797,0.8145946672915004,0.9148117953013867,0.8912229915591064,1.2651699460344208,0.959693858783157,1.094891516932891,0.8880127933505467,0.8740024114949562,0.797394417346904,0.6420466065526745,0.8183458427989685,0.5369137722093335,0.5845323008755603,0.7371884162242578,0.49248422589899093,0.43354208803065897,0.3990927035605575,0.426477358264516,0.432068406280533,0.4217271575047606,0.4924340986471068,0.4914087600766846,0.744301792763173,0.6188742915742979,0.567431074052654,0.4890057216452996,0.4811241221070005,0.4212577371085892,0.4175291551235473,0.43288614288339416,0.44623441373129646,0.4475539707490747,0.4314082553947682,0.5330556976935552,0.4488354665130669,0.5035808757328745,0.44822259345957594,0.6176096580688536,0.47586583018556244,0.45919606662050305,0.5992917976956341,0.44359500417372244,0.45460397893617766,0.42534256385014013,0.6118070501423759,0.7269266617883657,0.6257596465044891,0.5179990886753356,0.4689266496347322,0.48905062999899473,0.43105327623765094,0.5098011964046323,0.5127373541359164,0.5400471145701098,0.7335278160298176,0.9066486499403795,1.5082562278524714,2.1084157525117537,1.5259909892978247,1.1412332695727507,0.8347521924084057,0.8597985293865559,0.7408792440906223,0.756560131792976,0.540786554004646,0.5321125783797735,0.43391453804049934,0.47493983583283894,0.4744819645691523,0.5289090780620713,0.47377548189701413,0.5702130279433556,0.6489963836744937,0.624103410474261,0.49827395263977825,0.42833553643454175,0.45789302416785194,0.5266814568535748,0.5639195224916476,0.7047712633547482,0.7110028285708879,0.9604069549442593,0.6886697084295237,0.7399960217103516,0.8037633999424671,0.6143345434906822,0.5765439906660602,0.5182302768924141,0.47193889184748544,0.7287360024490754,0.8648528168128631,0.9027366410500365,1.7781758830561707,0.9181736260779519,1.087750080810021,0.7177797429459741,0.5583925641158196,0.598062451742807,0.4960749887846101,0.4860278972023542,0.5448336190440435,0.48256794806750936,0.5100900617349698,0.5821242074268148,0.5559899427739885,0.6825947744789717,0.5389752385456682,0.5514493794344701,0.7055963337083816,0.6891662808094065,0.7421872990933712,0.6987955243551749,0.9378241227673437,0.7356160884544137,0.7756671827130563,0.8870594277378723,0.9086693992073468,0.9403864537604048,0.9495518105541426,0.9280863971382856,1.1152673041342052,1.0012663099632872,0.822648770710081,0.9335629721802048,0.8894250645128058,2.1551641349076576,1.111122247189888,1.710977169483001,1.0068153048523514,1.109114066306104,1.1246803327137478,1.0851135811381791,0.9279699069885908,0.8651830067647797,1.020488382388577,0.8600194127125733,0.8448789657001596,0.6866385524501207,0.9454701698574889,0.7776030096945783,0.92675143606822,1.2440609358088892,0.7381763366258883,0.6037871641056181,0.8706181772145303,1.139992165065354,1.4333197188396996,1.5623413654318958,1.5556667341077013,1.3322987119326757,1.3935098255026581,1.6870783378880947,1.4457234704609543,1.159691465451027,1.5567467567458437,1.623496256912475,1.1839025730188,1.3752319641418216,1.6857607651854953,1.439743283259029,1.2008630109976484,1.3308014996616926,1.141079218014248,1.2063958994946877,1.1604592812575043,1.1313194282643666,1.0369101042811846,0.8489407207658474,0.862351869505584,0.799546997127612,0.7822929770345315,0.665181048972197,0.7006550599497744,0.9198493632329117,0.8332850588558615,0.7676598419945247,0.8408585014528541,1.0928729413132672,1.0751305062811594,1.1278869842601769,1.3401997317059726,1.4884039072527206,1.3307418569587781,1.2240339082484726,0.9342125462006716,0.8843833715360666,1.3396467552828126,1.3110771837550457,1.441387568823087,1.4853754309519052,0.945782594298232,0.778137678190965,0.5340144126288332,0.5142489539054791,0.5414209441311322,0.6809019976919707,0.7882341043266873,1.637573663106931,0.597382965600712,0.7563567369479235,0.9538764597560332,0.820403377253336,0.7949436652671727,1.1191796357384802,1.8233833445710217,3.1098180949426335,4.4848356409335794,4.643873064779364],[1.1322347326531375,0.743790790207132,0.7101655307526193,0.463043142326484,0.5867171060904114,0.45994488665012523,0.3688185531077127,0.47712614399000036,0.37874424193687334,0.3314129817355737,0.38461732702716545,0.5622462321932995,0.41575889143204897,0.3664601558253982,0.5625073126024358,0.5579301209482199,0.4797647141041164,0.5764723746879109,0.7418936586376138,0.6377412440162596,0.7655981143565945,0.7307843203464249,0.8872855538063157,0.9370552725162787,0.729265801789825,0.7533388455257812,0.5916343419509231,0.5011683160951284,0.5174849565784115,0.5588532834708039,0.6983580089863308,0.7147488773118321,0.90846362207901,0.8943516263425358,0.7492652592310467,0.6252320845082113,0.651256503897069,0.5629899755535898,0.5254642567502351,0.5467929688703994,0.5793658223901438,0.6249554804727003,0.6218556900115633,0.6955993591417389,0.8484754323022933,1.2806050928269064,1.3412445935331632,0.7809463096839065,1.2973858177585766,1.4830632842139562,0.9197611225518791,0.90068358281444,0.795538742018846,0.6473360238677736,1.1596200531665626,0.8136617299050203,0.6549193041338832,0.8550528411654499,1.0349375888388095,0.8401795119318579,0.7608797348665302,0.8309198244527137,0.907670156512664,0.9950688500953551,0.8205850325415535,0.7386558681088536,0.9564490189785589,0.7763841493072374,0.9415307776715527,0.8088322442405687,0.9795199032831889,1.2953801993649607,1.088326876777438,1.1178073007852365,0.8772297031329246,1.3153558156073264,0.8342885249720331,0.92128539201946,0.8098326344223471,0.7935713088961508,0.7305833687073757,0.6615393236191754,1.191855465139073,0.6824767938990199,0.6073134774983334,0.5680243339961855,0.5979353519785237,0.746106396347894,0.6773537548874017,0.8478513825262204,0.8507856273124066,1.08337768599844,0.9630255859882859,0.9411260143445103,0.792277348943507,0.9043408894879399,0.7751547654417401,0.8357294944226269,0.8209424689470712,1.178263109183987,0.8712432560942116,1.0229005579549282,0.7953529903351498,0.8076476390404576,0.7300286082967615,0.5996744920145357,0.770459596720019,0.5371382298611777,0.597493908812246,0.7273619410584778,0.4932260552378338,0.40381793723296544,0.38132011088081014,0.39705405462096166,0.39106663098686106,0.3995944087895394,0.46898843940800017,0.46591240855784904,0.7213994630839674,0.5965288142500222,0.5452902834904562,0.4534147106053751,0.4600298120607131,0.4115694671021075,0.41457417278156994,0.4390304402195073,0.461840896163156,0.44361590351301083,0.4369992899672979,0.5051672346299478,0.46486398798969114,0.5183878844408432,0.44899352422443056,0.5836739344378009,0.46596877239791734,0.45785295280848803,0.6118909527720942,0.45485668560087333,0.4302950311552564,0.41105305277766035,0.594476870279197,0.6990389157747064,0.5989351401499469,0.48981738639514055,0.4302965271830063,0.4362768823833669,0.38304486276376887,0.4594426893680057,0.4586118311480432,0.5179383598318759,0.7036227544904257,0.8767970078618155,1.4626294602871093,2.0455430212157557,1.4623800393802762,1.0618609018412746,0.7748530566496628,0.7980516215327964,0.665832084663103,0.6931055630334749,0.4791145216971739,0.4682563475812707,0.40559427086457595,0.43525718988940515,0.45098505203892253,0.5221045956613345,0.47878902840799015,0.6005958566307086,0.6855735651184559,0.6500088087043413,0.5147942128910673,0.4227792612174557,0.4311266110080837,0.4606456612711257,0.4883211094727671,0.61899593946196,0.6298873246345327,0.8853524656143124,0.6044208418212574,0.6460193987224975,0.7478515630336311,0.5454306889968364,0.5064716317569949,0.446054219926215,0.41394988356709667,0.654696679254922,0.8065991871464046,0.8606703367337829,1.7797405104517054,0.8916194514456167,1.1004787426422018,0.6736956010215678,0.5616522022103464,0.5982744979465964,0.5036144231797021,0.5223055481843111,0.5837674576559307,0.5172889764792618,0.5566388058945844,0.6205736465964142,0.5713271553706021,0.66916391577981,0.5613740440061618,0.5874556830367582,0.7033399450136426,0.6924795026233767,0.7800632389377609,0.7325308467896845,0.947476675055925,0.7621224530009556,0.8180218878466032,0.9226395808972034,0.9421476568458884,0.9533963101534136,0.9891957492984418,0.9810996034093841,1.1404326063375985,1.0728959128355495,0.8712118134287813,0.9674110387481929,0.9243762271349241,2.0670007371196433,1.1549316215277563,1.7415992935575895,1.0020144154062627,1.0592719341247032,1.0547366675539291,0.993077509593842,0.8946753699922108,0.8498458970911319,0.9809072503583764,0.8454155356224596,0.8801650026411666,0.7318434424928136,0.9688325644871331,0.8681439681250575,1.0019042369146312,1.332538392378902,0.8137249627642815,0.5961196345220058,0.810257146124508,1.0831843655489957,1.3609982861828789,1.485474327042499,1.4690614253594534,1.269435790905405,1.3440129297630556,1.6290261298455984,1.402327803125513,1.1382592209819298,1.5428544469902736,1.6293385225974566,1.1945223844257427,1.377293334733348,1.699065692927854,1.473153023622676,1.2218135668502361,1.3407435097847706,1.1521890276768778,1.1996121658866132,1.142177693642863,1.105347416125469,1.0398643050669651,0.8581085444169546,0.85253532732308,0.8152379781643445,0.8207127157468903,0.7072324478671577,0.7381280946353835,1.0053240343310679,0.9190672229605333,0.8520360446534947,0.9325274280912942,1.1966675628709125,1.1773655797023137,1.2264704871703245,1.4519183415449375,1.5840669916570498,1.4371447621839664,1.3146858538254167,1.0071941773304252,0.9451620650972216,1.4207810445259408,1.4054845817697654,1.5436146535298967,1.5827822082968526,1.0313167108682904,0.8372272229034705,0.5723443900553852,0.5436161710877178,0.5697060195380207,0.6709520488092595,0.7899117418512839,1.6403219938056113,0.6175550902130481,0.7645864694598423,0.961164130955209,0.8503599250596374,0.7726253339372137,1.1056962217800617,1.740753622125952,3.01138228974738,4.305886821528292,4.250553060625759],[1.0828123819118909,0.723770653502973,0.6805935354295563,0.44880521251537187,0.6370975609289103,0.4734546823083495,0.36609492146247674,0.4539343590660373,0.35980383572557806,0.3331076587651885,0.38376728047339237,0.534461653781465,0.3995086547385836,0.3885216259921089,0.546564732128952,0.52651238583576,0.46485071546373324,0.5647466445557167,0.7378186929208692,0.6217613009650594,0.7607011571548609,0.7244632672889982,0.8814194444000146,0.9332851087306053,0.732105874316367,0.7503508178024355,0.5875166862863798,0.4862775445142671,0.4809441923999434,0.5051859689023178,0.6664441385366302,0.6813406944576537,0.8639009121717385,0.8480507708023707,0.7037600918575905,0.5873189550561126,0.5981934749610371,0.5221673108813524,0.4934233645453279,0.5048798043842756,0.577489969275466,0.6191777108581781,0.6099342174726009,0.6978236352869066,0.8728119728220933,1.2928554936463978,1.3769817464044256,0.7733850052846231,1.2598532559296995,1.4660278675356846,0.8980605845096176,0.8841221428720402,0.7538367866759167,0.6358684995864109,1.1168188991489147,0.7539826106348978,0.6164071679782599,0.8075184615995233,0.9815525698298139,0.8164430971641855,0.7528645939815276,0.7973290638574294,0.8589516812073241,0.9475301239853252,0.8022193204977561,0.7086059776269756,0.9394297622716691,0.7659346311117047,0.9539146747563454,0.8199294583690007,0.9990417934834949,1.2792680823566076,1.076507888539218,1.0998603411351804,0.8534936891977668,1.277490742908497,0.7904977197628253,0.87156446418264,0.7459808515706121,0.7467030579189486,0.6538255021048472,0.6143122741562019,1.1007168105221523,0.5957378002774776,0.5767707522285199,0.5172575415118187,0.5563289077824316,0.6917584010759417,0.6325894863248519,0.8024549947457604,0.8074522429553355,1.06428234609409,0.9415671583823847,0.9114137545035229,0.7659247510650435,0.8932129075760413,0.7758370384285791,0.8040352621584727,0.7776447699993528,1.114243880140408,0.8139941638310955,0.9618891787242845,0.7299101043635869,0.7241672346826021,0.639930901049753,0.5658629562342827,0.7385478013577215,0.5523165359415483,0.6098529616988875,0.7137884387041301,0.4871810413118306,0.37998523854941707,0.36520096436054605,0.3812474368824771,0.3822605965973254,0.4108758264796596,0.4775098287823887,0.4743096962302001,0.7167143981230034,0.6210255332743696,0.554484402044394,0.46667439071386563,0.4821495285638015,0.42032402749029973,0.42042971408224106,0.45988376756641164,0.4861897595726378,0.44637062539235944,0.4361232919081633,0.45600212348829877,0.4658496349770739,0.5165508500191915,0.43451394815082334,0.4950678901634207,0.4588067180855298,0.45822955145396976,0.6502388304506898,0.45186618031743947,0.3814890162026945,0.4076983336141792,0.5836691687777148,0.6485937661274174,0.6055088416030157,0.5054651133066848,0.43480813927169143,0.43107492417651,0.3673755860857996,0.42396468426815576,0.4025070586447852,0.4709585414861868,0.6386485296488403,0.7995565660443416,1.3977778409537207,1.924963395572601,1.3799683081522496,0.9865973420156654,0.7103497776497193,0.7207759348776782,0.6019008034683235,0.6240179198312936,0.4152606436474691,0.4189420095762185,0.38166649740462494,0.4108882578056927,0.42489017225220294,0.5409541377167919,0.4969159930362169,0.6670393641653902,0.7480992986518683,0.7101767963583837,0.5488514232050646,0.4336776096732776,0.40497733209551723,0.4249364194907963,0.43216365158502984,0.5234187077753095,0.5445000730622491,0.7914170045875962,0.5236958769956149,0.5534662554287493,0.7147580827553845,0.4709591090221997,0.43561983736490767,0.40391649011745484,0.3968930109867913,0.6372317580406873,0.7896099753098748,0.8422314180005918,1.78290235374493,0.8762907318240863,1.1189614887966421,0.6671696303213492,0.5869267034985616,0.6147608365324011,0.49768833498846804,0.5336529845311546,0.5981581634849562,0.5270351354103306,0.5717699516901341,0.6304806655449656,0.5483805386841496,0.6428455367505461,0.5461709475334848,0.588962650013732,0.6800892694787652,0.6669880686617131,0.7914946364609028,0.7208769324959835,0.9288230597856129,0.7329446593968554,0.7979173991433538,0.8866493299953386,0.9053249588375867,0.9082656568800372,0.9551121975775079,0.9807116840155723,1.1231047749067047,1.1073805201758786,0.8754006412572412,0.9492750015674851,0.9287711005376935,2.0081713050087093,1.192345567207966,1.7214610500683065,0.9798950096810726,1.0343331210879574,1.04741291914558,0.9651270793808688,0.8809567688289821,0.8347281970238781,0.9588887720505547,0.8224062987667756,0.8899924290362543,0.7433792375722413,0.953934182725275,0.9604228616724613,1.0866181746311747,1.3757817434180866,0.8674448520241413,0.5733109869651534,0.7722585790757208,1.050308929392581,1.3234032814476595,1.479756212198715,1.4370217009393946,1.25052200399749,1.3417544535504242,1.6284027583431753,1.4118295622581363,1.139901977026037,1.568509415254293,1.669124610562393,1.2069376406932124,1.3937398159751726,1.7376816216790385,1.51932750514704,1.2273845584178564,1.3597670251417104,1.155425798721397,1.2045550342415703,1.1367861901202503,1.0904354112107792,1.0347252248071588,0.8488547558424193,0.8321470435011135,0.8093366142486143,0.81643748207399,0.7012060819748559,0.73749483320076,1.0605708011297401,0.964588056216251,0.9018235832249702,0.9922695796002169,1.2833872572899154,1.2648272411225416,1.3198883110649369,1.551760108793885,1.6666698527616572,1.5352603621446874,1.3997211933298042,1.055884921584197,0.9829833194403886,1.5263173939434873,1.5190887737561865,1.6578018720671033,1.6712412971719048,1.1048316350341523,0.8775473945048466,0.5898133374251219,0.5406762415516391,0.564532574656363,0.6440297126579294,0.7831972206419512,1.6146007983451913,0.6000175831831097,0.7428199728485778,0.9449064685645325,0.8390149942095191,0.7254045297258087,1.0556137249567565,1.6207853746564478,2.8334699350343784,4.088245035828081,3.8597587195397067],[1.0019711618306308,0.6563424629620835,0.6409920639827104,0.4831207731388381,0.6517796570148598,0.45234574740074024,0.3723900142134014,0.42426267028631,0.37644439878530694,0.3791274388564314,0.41739688247173146,0.5372453938893238,0.4337539130079736,0.4317387653375811,0.5571310988241006,0.5332638406152737,0.49202425500927105,0.5859163437254792,0.7694000833444472,0.6502906740900636,0.7630908938104645,0.7380571998003689,0.8881842441428577,0.985607297141696,0.8230235603107653,0.819345897110481,0.651749143670425,0.5541995003606938,0.5203339787415687,0.5224415885936531,0.6592135456849696,0.6309194407554113,0.8198546394343063,0.8069129543143634,0.6635523461397363,0.5701375032081476,0.5716799676809481,0.5357972983627645,0.5315066644736962,0.5316468233074297,0.6426747851720026,0.6518311869342756,0.6490026224350988,0.7824504768301863,0.9605912261011518,1.3855122809383693,1.5073729730172516,0.8821338746507277,1.285652676047723,1.5815652183359874,1.0201904543768108,1.0418786487791984,0.8165057438989327,0.7198330351964174,1.1244246198216834,0.7282960287839418,0.645659089871753,0.7936106983363506,0.9228990903975781,0.8497072858276111,0.743690151644859,0.7959535286956896,0.8372713976242265,0.9638239191282892,0.8108493087808611,0.7128816537124696,0.9346215684699589,0.7546441946314195,0.9283414281575719,0.8079126277505876,0.9607526554623527,1.224314540308449,1.0197392880975862,1.067436229972633,0.8229708003814404,1.2545509408126587,0.7632273146933929,0.8351183222048933,0.7180316144677812,0.7132113503256216,0.6102791270666996,0.6098765260429334,1.0169156285331047,0.5385876686135386,0.6585552644428667,0.5148911678876138,0.549982546526836,0.6595880127581991,0.6161517323702786,0.7580846212395277,0.7805771539947003,1.0300438673804866,0.9057052875230381,0.8761679303109868,0.7490645323549867,0.8766632892991082,0.7819002297019159,0.7563364701066015,0.7352362871648654,1.0703714910318667,0.750488947236387,0.9025340152588327,0.6653053664967696,0.6806544510905409,0.6138122940639457,0.5398422878724228,0.6816214372448038,0.6105076860803313,0.6712635364509176,0.6928776991261663,0.5072166111514383,0.42626873977919916,0.3851689844881329,0.4500059228485345,0.4360028311304106,0.47806760435090057,0.5530307051535642,0.5668848354019546,0.7825093132664345,0.6671463713742466,0.6163489456658041,0.5317043973059713,0.5373325916093755,0.48618282299871335,0.47967726294938234,0.528859121771939,0.5257843042800854,0.5031305257168472,0.4870801702745397,0.4860498280178085,0.5585838679675967,0.5802455268811487,0.5290492406535763,0.5439478268775944,0.55023536445153,0.5474521896886299,0.7552898251879158,0.5679071851250035,0.47243440338845005,0.49280579208064423,0.6557720158424758,0.7588891440080577,0.6834697806494862,0.600953341454626,0.5230125218444417,0.47362436211311093,0.43462952367955926,0.4601915684508614,0.43436479439665926,0.49552343224169276,0.6083500522338954,0.8050747541972036,1.382594475965361,1.9800388251296854,1.415589563684266,0.9580713976518489,0.6861613109027949,0.6990726245351063,0.5785316735837082,0.6084518449479147,0.4624204374308775,0.45591170232983064,0.46822353645195713,0.48349888113684353,0.5029940649784749,0.6217813038903154,0.6148904663416103,0.801142846594171,0.8809436254728108,0.8356271500516322,0.6686513958753226,0.5350971198125604,0.4810747883746695,0.42631501682788064,0.4380100121681614,0.5166517841418529,0.543046710745789,0.7262422572825366,0.5143429742789168,0.5282795320596886,0.6553918978200033,0.4789685727870591,0.46703618595113433,0.48068405813722065,0.47873696347491107,0.6654301606475113,0.8042248026213934,0.8814008044042619,1.862622944148505,0.971731083155691,1.257042632465409,0.7482222430148975,0.7152557882205312,0.7344014949373937,0.6108111779021408,0.6762229295614827,0.7357508606438433,0.6293022204832633,0.6643974904343969,0.6999292359403396,0.5461270047295438,0.5834929589946608,0.5522798305000525,0.58576600124125,0.6144648226212808,0.6300984956922014,0.7644239594890652,0.6703942029846619,0.8596863471071636,0.6883095977415278,0.7274803454838366,0.8373811987071617,0.8933363083737487,0.8267776045754903,0.8931639201544636,0.9063452816912804,1.0966475991813565,1.0455607813996453,0.8126345325386664,0.8755645136527898,0.8312010577264385,1.8389008732239778,1.0500478123307413,1.6460879032805769,0.8729017059330721,0.8970775073170453,0.8966971802647622,0.8424430211532455,0.7675563985303384,0.7575229859536803,0.8730074091209821,0.8004000024086304,0.9109896432374017,0.7592122512388556,0.9814442281417407,1.0597009184260553,1.1468748502851467,1.5121014600356624,0.9262605420219668,0.6397179819855169,0.7185508038801879,0.9492775052172482,1.1945948234106898,1.3271512111175368,1.3081866112892124,1.1240729530952875,1.2028208730693544,1.4758104111386074,1.2884064778424937,1.0440619842423216,1.4561271145883925,1.586167578181349,1.144614456145135,1.29575578599983,1.6566229091787286,1.4918258750561735,1.1673622155267993,1.2760952087241988,1.0660323603617434,1.0855338108896255,1.0077735269792831,0.9423524831112826,0.9220226974000282,0.754061513565711,0.7282236954947698,0.72965481414003,0.7664353277449704,0.6820053599991586,0.7176067993317012,1.0807126119996102,0.9819654468384241,0.9470877192897169,1.026388098463772,1.288692534167955,1.2877639536037273,1.3266939893370437,1.5823694880747792,1.6818344684562712,1.490335200671802,1.3610110270098432,1.0094811146908738,0.9064515964616991,1.464489549887527,1.5068132912594203,1.6789516604480892,1.731391193043094,1.1471597146026762,0.9291381059883125,0.6633397579784902,0.6297614178102022,0.5873862122654125,0.585225382122037,0.7013632768864206,1.6092218425683293,0.593451091723955,0.7046741582515267,0.9096656395122588,0.8471288445056938,0.7123955540616081,0.9648743240069615,1.6179080156114702,2.7322174025190757,3.896723025266741,3.5314936354454387],[1.0215043197008846,0.7634178094599652,0.7647871009860234,0.6071454840690129,0.7926968366592348,0.5280677134235775,0.46532493997657176,0.5065962864321618,0.45121539568119545,0.4395958206347079,0.44396492214775074,0.5493922878882553,0.458494408045693,0.4444049448826271,0.5367224866144059,0.5145842705776629,0.4930336974583337,0.5583852264168793,0.7056924333212945,0.6011324622137255,0.6882219849460874,0.6766453585265224,0.7899129225321481,0.9141173059404034,0.8044244114158436,0.7890210391586588,0.6243928159426919,0.549635444093484,0.511000185501926,0.5148702925423352,0.6139760843951662,0.5956569506235074,0.7443169007189211,0.7206638859718167,0.6038067366500641,0.529175644506647,0.5389308391075103,0.5347622004699022,0.5327938681799501,0.5379299956522636,0.6428815751176421,0.6192878961174815,0.6181451370705094,0.7514862496011839,0.9247743975893297,1.3662164838612,1.5012021100005593,0.8542331685040034,1.288555821214207,1.655585905278957,1.0196485462500606,1.082769154949582,0.8212511806507921,0.7602795300314011,1.1504008720781373,0.6677831799762564,0.6250508339480885,0.7349513213221869,0.8337887875501173,0.8375040543110158,0.6664923735341585,0.7065426608324197,0.721094989293761,0.8761818963684567,0.7170698326140321,0.640210103556877,0.8728513121272191,0.6715718380112377,0.862032156360745,0.7510187913445958,0.9100385744296429,1.1739814521241387,0.9801370779299091,0.9962047744253065,0.7330605860665832,1.1795129030541005,0.6430932148333066,0.7305975738546936,0.6216470615685069,0.6405851164435185,0.5638870295597591,0.6884004458429449,0.8910898408043286,0.5105620117144662,0.7099921646614434,0.5544195347908946,0.5409352572125872,0.6101721990961753,0.5475379825873047,0.6655361661091789,0.6651560509307045,0.9321934946379011,0.8130395172399729,0.7857382020991497,0.6881504212573369,0.808896662593917,0.7395366094935139,0.7029883230951124,0.6950855812974277,1.0355440512742424,0.7054830106056701,0.8556565460168384,0.6539762144304465,0.6910816066091744,0.6750343163459841,0.6314987210123639,0.7829753044580171,0.7666252057680251,0.8193467069776994,0.8002612239544763,0.6699640581312946,0.5405272734616384,0.4727682594907232,0.5056735434157442,0.4518643681106522,0.5153224953406608,0.5635522227718367,0.584798565809315,0.7997324135085085,0.6545685812684905,0.6292003752075505,0.5434544815855794,0.5831706958976253,0.5207009565550687,0.5222951578850629,0.6111265581107306,0.6489722159999337,0.6351400717111548,0.6195824912764466,0.5876069357007311,0.7069403299099876,0.732405190031614,0.6707051209496876,0.6487824566445057,0.6622498447691958,0.6408183576792998,0.851447358426364,0.6520017370267697,0.5270894741319931,0.5277988447118469,0.6777759573170109,0.7414357156731645,0.6656399777404974,0.6069556616375401,0.5527095521747261,0.4841831812994104,0.4660036364580747,0.4776050496924378,0.49344916134938455,0.530139256631354,0.6364457521189986,0.7891970226170618,1.3578566215539267,1.9098224239485584,1.360203247804322,0.8982138663494924,0.6710001774568934,0.699687038365955,0.5805454814631726,0.6278884585613772,0.5300799669479942,0.482864678109184,0.5177241440125099,0.5357254249230093,0.5709099007768174,0.6768496641113629,0.7147264678464761,0.8647077130178454,0.9697528760557494,0.9036450835014574,0.758182996271173,0.6031880220006478,0.5706838780391095,0.49780547840665507,0.49823512581475926,0.5431511949677634,0.5667489330707441,0.7070257003194919,0.5410883529801026,0.5431632214422986,0.652405141008495,0.5375041762183972,0.5671565126336903,0.6149498241440834,0.6109721833481323,0.7151588954470183,0.8067712889710803,0.8675982248021699,1.833957422479659,0.9733477632040145,1.3072300744413021,0.7808281350820205,0.8156731562992326,0.8465025344982051,0.7309496766377747,0.8076876621207323,0.8616376249161872,0.7936542223952775,0.8236248259488714,0.8426550974567625,0.7352722528941242,0.7429281724866656,0.7282675853236062,0.7607036701572741,0.7730802783835142,0.7782160087148687,0.9143029990768757,0.822204682261482,0.976047096469089,0.8222154152543026,0.8464238830109959,0.942640834427668,1.01322337610848,0.9125407375432332,0.9798836417740644,1.0155677530885774,1.193986049618511,1.1788400693836785,0.9330134925142912,0.984346327759257,0.9714337147576285,1.8432106567512414,1.1585499654802807,1.6418921643041449,0.9800949827445079,1.0164224344911046,1.0035450509353385,0.945658160222825,0.9126330101530891,0.8709144824970002,0.958289439313624,0.9202057596212979,1.0274736057508553,0.9075324755564097,1.0737612705410655,1.2037337999900073,1.2894057230385159,1.6268268142260338,1.0902446625851845,0.8079043729666208,0.8326214668784752,1.018672288375989,1.239455935782803,1.415324652360847,1.3597839075091165,1.1839114786283724,1.274334436028229,1.5059643365677216,1.3561156343035408,1.1372398956491754,1.5312114802953063,1.670955021400024,1.2436947086492698,1.3766577308853998,1.7308533540210662,1.5965819142970585,1.2676965761340377,1.3710775032009697,1.1680572322829728,1.1817459353282112,1.0909440103328385,1.0298010356251799,1.0353043197874503,0.8755932813997745,0.8445780313456134,0.8711944904474153,0.9051101394121308,0.8363510300109722,0.8773561558962072,1.2371610964437048,1.1266231434519636,1.104706233205068,1.1898749787019218,1.4320810074065662,1.4292496021588572,1.4645495616255593,1.712845097258199,1.8057755287899728,1.6218785205533648,1.4941303085439277,1.1505479738298814,1.0366663009087342,1.591944736229877,1.6367473032599529,1.8002305422392488,1.8251003977034186,1.2743669683261836,1.0498338892307013,0.8111029498961809,0.7675948630211163,0.7585575740296688,0.7327413347530121,0.8355882955600552,1.662446353834001,0.7544814752009058,0.8372630260165395,1.0443984173314695,0.949076792001814,0.8370830834248625,1.0112256037084624,1.6032398782155473,2.527434131748308,3.6900798017374243,3.1927937662873047],[1.0757866663075908,0.9235333462919878,0.9476787756473515,0.8854770602771934,1.0758301487561575,0.9691376835329845,1.024297925423015,1.0689939579986023,1.099959395873794,1.1816049441553882,1.2460051164549932,1.278692606674258,1.2457158567385187,1.2284357810269213,1.2814362608877667,1.2648361170786584,1.2644304987273824,1.2977181563584654,1.3382101261263195,1.2919283591489739,1.3761811498670247,1.3727357366194932,1.3770308987839606,1.3895680101992816,1.3385218755379966,1.3392288854109173,1.247959742971129,1.2393482735749826,1.2441695494190583,1.2382308317903028,1.3552755030283814,1.3079734926650108,1.4279100589254832,1.4533441998349812,1.336521681627945,1.2989640701635212,1.2490426672855044,1.2375294668407333,1.2038401520108841,1.197468742953779,1.2938332891849138,1.261402524037843,1.2613620224157742,1.2812359307284025,1.37188989631144,1.6592247132947742,1.80362762325949,1.3018953424413005,1.542433810392034,1.866584228060732,1.4156890406725535,1.5552753019274261,1.3995723660484127,1.336714671045512,1.5889130450422773,1.311102799827762,1.2668507659897208,1.3897942624065336,1.4341477365923823,1.4451732385999085,1.327025706777096,1.4108963866116124,1.4565563256123313,1.52729441478321,1.4236719119226648,1.384121646007319,1.4990789616173619,1.391046071098638,1.4666589316145953,1.4728043096750272,1.5174754398881007,1.696540670942939,1.6318087298895052,1.632602831393218,1.5080280073530632,1.754542119716862,1.4399024027142613,1.44512463128923,1.3912212937790878,1.3601256902689265,1.2639030707998145,1.2641960375930579,1.5470969786020579,1.2376015653018377,1.2643769648873429,1.2226818074787233,1.2552516089699381,1.3012365068821188,1.3211906120970798,1.4209172287372607,1.4420606597905195,1.5704258104604403,1.4967886255429284,1.4891610466359442,1.4172056712612975,1.5037259011852604,1.443120263844366,1.3784697381937268,1.3328470245572521,1.456233074392321,1.2899072128789137,1.3827522320513417,1.2413200710963421,1.2365670080657811,1.2015107824783768,1.1878578501111363,1.2215538276411193,1.143542519553578,1.1386296976501733,1.1939443769561753,1.0696390965842961,1.0708651793391504,1.0929680947924083,1.1051775248245421,1.1447635337451079,1.1718450493376644,1.2224114551649918,1.206284626136955,1.4081908808162513,1.326266013962816,1.2968605099807642,1.2128015655616602,1.1948407891229742,1.1522923196251142,1.104926384841839,1.0607490815171645,1.0554818358426095,1.061247425032629,1.0477956835043707,1.073774093357057,1.0945655599973254,1.1159704137778168,1.0887013326854003,1.1205642290355577,1.1161936913692907,1.124812808798412,1.1601724423734712,1.116636337223766,1.0707139140120294,1.1178619144311208,1.2374333431769717,1.329043918013334,1.2679869021308003,1.172788030464094,1.1961008745274466,1.194726046522085,1.1509011295906126,1.1775225112002274,1.1466659968836097,1.1705636525431042,1.174307170856737,1.2849678665660345,1.583059754403477,2.055337067975035,1.7135969244102764,1.354752410695337,1.2600706127750647,1.2322059803992889,1.2347727341794597,1.2029215492154686,1.1383989178354714,1.1524068265336673,1.1284398868607353,1.150018525095006,1.1435695102215035,1.1798022289354502,1.1781841212459918,1.2691333805474778,1.2968743639542895,1.2573081249929954,1.1781637389306432,1.1269188999987483,1.1312883950257024,1.1262024878966774,1.1409581156094268,1.1703858227377808,1.188794528699512,1.3239021755638978,1.1903179829211283,1.1928530474864536,1.2325667280577326,1.1266989808690107,1.1035053447490197,1.1221499829892456,1.1058127745344395,1.161531319033669,1.2531522164233737,1.361044848982744,2.0438944076370364,1.3569674682985404,1.678995975566052,1.2094408339330711,1.1839346387139011,1.1973233751223742,1.1415351726685092,1.218731301510802,1.2140848366890626,1.1047716946835224,1.1192965804612982,1.1891609162453558,0.9904138400332333,0.9873021688981631,1.0172597557392928,0.985521489553361,0.9285582665186506,0.9532969006538794,1.0622684476306152,0.941536810119581,1.0444959688884843,0.964978365122121,0.9751149350366068,1.0630974119067622,1.1199595712878418,1.048491659682967,1.1189685936266458,1.0633295838896994,1.272076865118316,1.2320512158791972,1.0556688627503081,1.059044850997729,1.0154405714476376,1.7371845915590356,1.2008178560534462,1.7370649217356378,1.0613990253574794,1.0240864690696017,1.0343174424991788,1.0211549804061988,0.999955219596606,1.026823234439145,1.1338880050088829,1.1428788788332955,1.2486433422596765,1.1714370272164794,1.3520496344864654,1.5117264097619427,1.4842880663071902,1.8788462925271607,1.3229068490658176,1.0909239528307044,1.046260055107685,1.1093456881149848,1.282271417048363,1.388649835564898,1.3606055333119178,1.2367305022963275,1.2552280031200151,1.4706502405517767,1.3769023007577699,1.166809567180309,1.4769484091535772,1.6265436792301715,1.2727567103811201,1.3469535670895305,1.675394749539572,1.5942636455709862,1.2883412358578121,1.354064584718094,1.188824512805014,1.1701315299876787,1.107019222584418,1.0550611529931464,1.0539945242104984,0.967013175790768,0.9749360259884424,0.9847681204182782,1.0291897873625693,1.0043383905101988,1.0337206256236482,1.3488779832115967,1.246807390471708,1.2717839536773996,1.31264221171664,1.5337220783414176,1.5276637116434404,1.5338679131301916,1.8235075490272228,1.857846741785923,1.6691895153127767,1.5032613911916342,1.198716761289419,1.0846062244879693,1.565761351870818,1.6763408199284524,1.8701166681617731,1.9715231340187795,1.449054219651759,1.2691844722166394,1.1213072552729921,1.1018140802338843,1.0083350752245173,1.0399369576006527,1.0433072468620488,1.7654254413817108,1.070293554110201,1.0164138313403321,1.1825426604777125,1.238610349179943,0.9931152468545754,1.1729724952129912,1.6753566682101817,2.580092547861479,3.4664216659570513,3.008316626673105],[1.0886788060451749,0.9416711797528345,0.9360553706918929,0.695040628544808,0.8690886875680092,0.570646983121002,0.4421125927915838,0.4675553267705167,0.4102805211503071,0.4216752067123896,0.4743130109243904,0.5141002330618978,0.45278862930320135,0.49386778599514397,0.5928297042436657,0.5297130602807862,0.5567019051167033,0.6520768247021794,0.8317909405888356,0.7295960579268407,0.8688016702734773,0.8654933365133479,0.9467763976283127,1.0278631994501037,0.9283823666090836,0.9035966850348818,0.7192787492654461,0.6351228145538405,0.5675093668956214,0.5080895882570702,0.6671391927576256,0.5533076831266365,0.7205801751756643,0.7087823797290536,0.5896467502515814,0.5721107011465816,0.5017916781072189,0.5758605983117736,0.5661206960998139,0.5671505098274137,0.7334123261527132,0.7026010852777096,0.711891005075715,0.8271948593297443,1.0175313020831316,1.435530274640076,1.6152922146667046,0.9297654856461316,1.2193209347661391,1.6139094855640033,1.0416172548098968,1.257715564173431,0.9296281106769251,0.8492159428883524,1.161842158243195,0.7574105361054905,0.7455257502671382,0.7729818131881819,0.8405448242566775,0.9904776819794839,0.8084467049466371,0.8715720865283149,0.8828213391685503,1.0068937714021577,0.8722443038135108,0.8113977639688466,1.0115622370598445,0.8005866663953883,1.0406480454829168,0.9571871373392348,1.075166440176224,1.3814217614501567,1.2039875883876598,1.1936112221038004,0.9184762060435151,1.27972259151395,0.7865447851447721,0.7719300903168386,0.6704425847474352,0.652685824250335,0.5242298750889067,0.671400536069827,0.8393225896264089,0.5551507901567622,0.6922392816469477,0.5264075329082795,0.5599638789185956,0.5845837708022384,0.6027164863228531,0.6911408414563937,0.7565019908586469,1.0134427308758833,0.8693548867991996,0.8072809551136669,0.7136166933828728,0.8653202749826996,0.7770221668505432,0.6599308386256987,0.6252998891570762,0.877017692578846,0.59194795681685,0.7197084806151044,0.5435534908208631,0.5768318743711115,0.623655969530751,0.6078390855302951,0.7788630700226284,0.8720308443532089,0.927878892716315,0.8409241194872649,0.7264486340170955,0.5389064724400898,0.4362033046064596,0.4951162142682551,0.44169358685460697,0.550033871019791,0.657026104158779,0.6556119834315087,0.9103770861686534,0.7403901593400425,0.7296914112968138,0.634053357359363,0.6517426924955557,0.5306183506460495,0.48657279170736345,0.6033420664242392,0.6632647350629973,0.658956148897992,0.6998781960035434,0.6352835516367932,0.8385543704141792,0.8673363930473673,0.7938184489452658,0.7018322501878852,0.7404819556226028,0.6930820419302071,0.888368681635535,0.7028676380870666,0.55991315807325,0.5755414545253625,0.7545907328507017,0.8252766524845904,0.748667726125694,0.644462281438021,0.6414386162118006,0.5503656079537467,0.5098321861445504,0.4825819306170957,0.42488275905823847,0.4568096350859214,0.5620558389400465,0.6726134184715931,1.187487689329373,1.7911830373257218,1.2615254101643165,0.7380240515308041,0.5429802280810999,0.5580855267297092,0.469084505937859,0.5295365122183603,0.49577414683936244,0.4684612266805746,0.5683051389949177,0.5661896699256306,0.6168920408303374,0.7352799731169996,0.7680278404385888,0.949003275087905,1.0578203864231865,0.9627026484931357,0.7992246469201926,0.6584333179776518,0.6251338049839027,0.5109248135015944,0.45505198463966334,0.4690704500965673,0.4808005251591005,0.6576768772853294,0.4830512125819055,0.49085130220397005,0.6799198873154372,0.5118106819834677,0.5859955102373374,0.6553900636078269,0.6413217080624389,0.722507842916992,0.8324684215949444,0.938628891227733,1.9328307567451044,1.0938007497668443,1.3926166368764181,0.8516002243851752,0.9321553696798138,0.9575957208633648,0.8811641492799991,1.0145599161589163,1.0240486700394382,0.9657128291090652,1.0313332602285386,1.0430627823935559,0.9253622251475777,0.8534701511922326,0.8795799923056457,0.9708052987320177,0.9432154743442747,0.9282409752425361,1.0915549966872906,1.0437875031751476,1.1323313150802572,1.027509983379447,1.0927811728832235,1.2266140340792409,1.2645190673423916,1.164083047357634,1.3066133650453475,1.26459231318618,1.4841452870852323,1.442530290258187,1.2189731094530636,1.2819278943690076,1.2599156603794872,1.8841850943557716,1.443219707572157,1.8411430340740143,1.2211426348352594,1.1587641243160607,1.0626344741545863,1.0359666517140915,1.0990516411843134,1.0319344038406832,1.0500527627399414,1.1308009356235487,1.27640857125596,1.1409976395799843,1.2793512742534334,1.5305388147425436,1.5672668385663602,1.9077321729677412,1.336152094648199,0.9655859678794064,0.905378191241205,1.0089769609404697,1.135034395748077,1.2975445693663596,1.2019630321432773,1.0934158452827707,1.2222056459856303,1.37628815402742,1.2536928449937905,1.1504747527107158,1.5119038645384721,1.6545137036929165,1.3028409609760265,1.4495877132872723,1.7844676545348128,1.7260197521580751,1.4549874420842575,1.5419577980877932,1.3602239894210102,1.312651987693241,1.1703218428223956,1.147387444899054,1.2363985161294806,1.0864550925410639,1.0453337069339408,1.148451912420256,1.1892975145681903,1.0976929434967773,1.1873982093631885,1.5449916178981475,1.4022750531562904,1.3901428066796526,1.505200547352591,1.7277385431129486,1.7025319006204278,1.699941714448004,1.9787741606435527,2.020384352327504,1.84763517181529,1.6779469798426843,1.3506192462619135,1.1902392950351128,1.7160935018803032,1.800719493276686,1.9921630330111502,2.030849550617462,1.4931458283892258,1.219451953344823,0.99754803851118,0.8850610640135175,0.8703944830068049,0.7685068146804271,0.8770801006286034,1.6307832516423173,0.8127510800290579,0.9148164191366329,1.0871277637747758,0.9745915168634711,0.8786133080371828,1.0840606958389523,1.647054999453191,2.326461518199067,3.3598415445936842,2.8558648248851815],[0.943838252802421,0.7846634370639536,0.8687086167867806,0.6073509283560522,0.8672430413220306,0.6135255289639909,0.5469761247259668,0.6101553158730381,0.5500026875618783,0.5087912878884671,0.5056857142808522,0.5951631463703025,0.5209773821910513,0.4618364233025906,0.5213723095798419,0.5147148303984894,0.4867917314311541,0.5261965972986791,0.6595906853310671,0.5788130608689155,0.623514697294561,0.6383844293776529,0.7257476942499803,0.8285545764185241,0.7924072310921325,0.7429644624768196,0.6188729124275044,0.5460179515916136,0.49726627161613834,0.5412964293738215,0.586257737973677,0.5754590951319725,0.6859430983378529,0.6404799600038362,0.5649786313120139,0.5229477142727638,0.539380312097482,0.5400284651381889,0.5411857496661491,0.5630560886931936,0.6758110968417187,0.6042866411628676,0.6029490516045285,0.7420160779056504,0.924844363964937,1.4024954704671575,1.5513398824365843,0.841746496717955,1.2977117977480108,1.703287384602066,1.047734568422075,1.1599365660935939,0.9214761680719972,0.8524550806353132,1.2467646338519642,0.7233722570074189,0.647247701362284,0.7446114885477602,0.8185911301159593,0.8471589755104217,0.6449767381127588,0.6338078950148492,0.6405687613326955,0.7696939992180711,0.6616620561609169,0.5890614886938116,0.8134608641630207,0.6282224009085805,0.8167077845677757,0.7611778053653022,0.8715271022721255,1.1223815182072974,0.9914741193943969,0.9500809872834359,0.6763241915150306,1.0678837614292784,0.5744756742203773,0.654777141099212,0.5609326411414424,0.5693661107585478,0.5496450917266353,0.7883057722202014,0.8124925599574855,0.5979099228151542,0.7403716223332036,0.5982507611478098,0.561232507629778,0.6347769190356904,0.5183339057532135,0.615638698399435,0.6054708277172188,0.8371932160603016,0.7315148530718906,0.6921617910248306,0.631464975704897,0.7532214688012384,0.7198359414346053,0.6405517126861608,0.6556092016183394,0.9357525524105017,0.6874350226237687,0.830549626824244,0.6653134988887346,0.7250487144871702,0.7738196816492757,0.7486212904901602,0.8999262964330069,0.9297247045800467,0.9672399796686572,0.8989671242919686,0.8192395979042686,0.6542541283667078,0.5603180720725517,0.5741134391196913,0.4753786824637408,0.5332539245895989,0.5888936532834856,0.5361757798545198,0.7173868954106762,0.5926706172071162,0.5636148703286883,0.5144411121117695,0.5386694017202895,0.5102134600954131,0.5427260648157072,0.6600404829134553,0.7431245659714055,0.7306707981568397,0.7453148370057041,0.7116258268620377,0.8333927734438759,0.8824054495065246,0.7989354361595425,0.7689761254087099,0.7582673466014057,0.7197667709423352,0.8640030560208096,0.6884882792744085,0.521262797611647,0.5420328728935178,0.6341815597815261,0.6770115083622056,0.6363012993121973,0.5942569036114922,0.594661610606055,0.524594201504723,0.5044947760446071,0.5265644854163356,0.5643016780190053,0.602344049273918,0.6976184030623024,0.7853307163117028,1.253983478830109,1.8231043498761887,1.3028907138659156,0.8430986755648907,0.6753830787312756,0.7136029816641335,0.6171408343126097,0.6621610403121608,0.6140514180635013,0.5277573627326206,0.5625814609726477,0.5791617059298391,0.6163881655952863,0.708058693921067,0.754550295304112,0.8933161322339189,1.0079046122265976,0.9168160813820075,0.790417910054281,0.6475348585100938,0.6546299944979378,0.5799713721373052,0.5700216559163254,0.6236395481301386,0.6283335551795013,0.7432233995505575,0.6029050309949003,0.6268810589762307,0.702231898577762,0.6484005357080179,0.6916111651422717,0.737375792502521,0.7180193103131152,0.7873680399080366,0.8751162360784563,0.9258600109448004,1.881841157751927,1.0098155004697555,1.3329665088006881,0.8370461961181436,0.8769303527079659,0.9117954658926984,0.8434748565683351,0.9499912792470968,0.96890768867415,0.9209233415823858,0.954811584519335,1.0113700662325347,0.857645218364457,0.8411941967006288,0.8612026863129548,0.8675910329636181,0.8354900299836215,0.8526660222345877,0.9703220449642902,0.8735657746598937,0.9906590631439002,0.8741231560986888,0.883701034367737,0.9692868499095737,1.0593593346346595,0.935144242276333,1.0053638035295427,1.0161683889503041,1.2000638572967353,1.1782439580404587,0.97172012691648,0.9962887699570224,0.987460474382945,1.7494764461002654,1.1725444384990578,1.6831738778729295,1.015002847107532,0.9922898482825585,0.969302380746232,0.9376410680389804,0.9491095965378895,0.9241363562036253,0.999553719102521,1.0202584512130495,1.1505063711403742,1.0468546870640603,1.1874572006206137,1.3482824224326218,1.413349470995895,1.7671697028799418,1.235268940653798,0.9381292072896884,0.8917064427060146,1.0063284952638025,1.1672619135694122,1.314480644573404,1.274703767582632,1.133118180354358,1.2099503336190263,1.4154126809948544,1.3085183185984857,1.1274532670021677,1.4729273196428272,1.628379224603813,1.2431347489417777,1.3373081071500241,1.6813934083454036,1.6147912466427976,1.265413937327576,1.3400601693347132,1.1418698560260694,1.137326701613019,1.0595891025839703,0.9942340606122136,1.0138772938296674,0.8935159770367429,0.8829689155209799,0.911050529854093,0.9474349596208885,0.9112146379765756,0.9647070527467188,1.3046978703472356,1.19922864348656,1.2066910433781948,1.2693057544915274,1.5020349210900203,1.4927014491074904,1.5241507550002455,1.7531244931242946,1.8344611690431436,1.6293366208918254,1.523305853020406,1.1825976439363974,1.0658314062550098,1.6549167178631397,1.7231325359553324,1.8818757841019893,1.936684896508628,1.38840238120628,1.1608601902379014,0.9466375009450542,0.882789510262847,0.8864207738334204,0.8340808563530091,0.8974646424030879,1.685535400364552,0.8996248501332278,0.8922168912807629,1.0898399714932523,1.0568631274046916,0.8848702910913916,1.0235641048145565,1.6146669982685264,2.274753154049253,3.269317956026305,2.7738874852668713],[0.9138108752444425,0.6236016466085765,0.6196333403577308,0.48133952560481214,0.7068460273226006,0.44518489607526096,0.35851701577637374,0.38238460961753457,0.3543359234930929,0.35569867832792346,0.36237722489649893,0.44277891072041686,0.3662755153453074,0.3615194555217057,0.4480306444462957,0.4142313271705029,0.4203507736511962,0.48299133364734415,0.6561411853984106,0.5538859635131631,0.6312599068101026,0.6292425494120344,0.7367683325927452,0.8736866228662624,0.78846730487853,0.7539165995537992,0.5905389314518039,0.5024947272344793,0.43194444459188347,0.42740194897734624,0.5254426283116383,0.4723626419891318,0.6278961434224413,0.5911206796991592,0.4851775982898449,0.4349967757015744,0.42546154966599875,0.45140013406080864,0.45594354666147874,0.45910555836564915,0.6278066464800964,0.5667299286579115,0.5629351227932494,0.7133830602181185,0.8968282659068172,1.3607028894334703,1.4972602247891054,0.81415249305317,1.2695063447244228,1.6400460283964362,0.985606028992289,1.108067039951725,0.8248735863663839,0.753176629391658,1.1304794902557012,0.6405362778692948,0.5869386371236912,0.6736394789756018,0.7635089297409239,0.831321664644511,0.642668011804513,0.6475876467532643,0.6544041162017067,0.7847718153545608,0.6575463490983932,0.5835816583251888,0.8232078816290241,0.6133773668268178,0.8146387343951165,0.7322617019994154,0.8629215671033841,1.139305884750198,0.971541533978385,0.946475548134288,0.6824409911559534,1.0929638040247098,0.5643394081626799,0.6307825755823762,0.5139525745495639,0.5349091713493728,0.4573495225889115,0.6407162151902347,0.837563525277887,0.47026520525309545,0.63849873933163,0.4574680020640944,0.45090725364655043,0.5294154971341722,0.45087171389552366,0.5652789853883211,0.582009765452366,0.8519993098415023,0.7205201300408832,0.6675365652876994,0.5803024018177314,0.7191948949315579,0.6614204669582265,0.5727314398572694,0.5693702289843714,0.8802795012833031,0.5733760821618238,0.743769477676146,0.5233074255712648,0.5759400373901261,0.5770542099880445,0.5348594878866417,0.6829504148674296,0.702974648791527,0.7524546945316475,0.7137915231108184,0.5663602200709107,0.437906562130497,0.36983693069248924,0.4267640070035424,0.36744624047241503,0.4655435320562111,0.5343501657098816,0.5285124990130604,0.7308914432505978,0.593158859779908,0.5675234573137782,0.48352342686405464,0.518240618684362,0.4606460640659802,0.453616791146174,0.5521589954894526,0.561149168426487,0.541454483641363,0.5401739285336562,0.4925553645948507,0.6445741682256302,0.6725014317890801,0.613330575634948,0.5598902031397163,0.6043432490409907,0.5857815016864151,0.779926310518153,0.5959111588756949,0.4596843648026149,0.4748266153079492,0.6162299219674552,0.6808686292165338,0.627963928848983,0.562460194971024,0.5180141157199768,0.4330444084809603,0.40694591491043364,0.40821039217987565,0.38277792241621744,0.43968549556942454,0.5300622935296789,0.6934355341869336,1.230938964622109,1.8361098274841972,1.299318203289091,0.7696201836040222,0.5423305041917301,0.5681241018863132,0.4448890556022652,0.5185766030874619,0.42970327181886936,0.403212460135014,0.4694948275900479,0.47891345071750246,0.5321858668515346,0.6477049132947584,0.6573876881268172,0.8223619080086542,0.9266854352840241,0.8556904312766946,0.7004075587412228,0.5462374784523646,0.5165001508689254,0.41915765087017653,0.40265626856842246,0.4419632185930492,0.45970902149430865,0.628659670678171,0.4498367344807815,0.45877042508047133,0.5955761708498241,0.4374722064052007,0.482155504440015,0.5359550252467445,0.5353317104636375,0.6511968899534297,0.764608336376114,0.8423208306001779,1.8394225983055685,0.9766293332649878,1.2799408510648493,0.7436503160836857,0.7704624159969633,0.8042824822436133,0.6973781829001613,0.7751591316906393,0.8160508482050495,0.7217738795936354,0.74592048565058,0.8076493048799301,0.5996094463202103,0.5837714189360139,0.611466409667431,0.6329393934293208,0.5943495071283978,0.6122700269784541,0.78690943840738,0.6620606144406923,0.7997067936219673,0.668094748384772,0.7023289609201532,0.7999255412352179,0.8756027967900076,0.7965581527908611,0.8683250505753515,0.8672338446210744,1.0553889629213025,1.0197443165049307,0.7989950825538071,0.8349672096557685,0.8083616075908239,1.7636194248420525,0.9984178989170699,1.5577968737686392,0.8073667352112329,0.801962131431929,0.7899778140756171,0.7436823669740246,0.727814715673507,0.7170037747936595,0.8113424326375799,0.8046091418107052,0.9407018805403973,0.8223910506679972,1.0332586557449372,1.1812759795799905,1.2400117732303,1.6296738973605767,1.0211994912554556,0.7157452103934254,0.6933662279040507,0.8408757413580092,1.0508694802830536,1.1792056948945302,1.149428167922595,0.9921912946141254,1.0530372803113113,1.302237691421926,1.1543962480051273,0.9420258753400964,1.3293161688338977,1.4846375842724013,1.070015112657494,1.1818038278238294,1.547393896360705,1.4583872803145022,1.1002325139181008,1.1828623956744377,0.9804967408686894,0.9686599699369475,0.8836969120370104,0.8168893981584515,0.8267908147822502,0.6929881459817446,0.6608101996257473,0.6911948049443921,0.7449255032132657,0.7002545474097062,0.7344394177969717,1.103663798350685,1.0082340123313125,1.0205245722059102,1.076308968495076,1.3367118464378387,1.3202603270171043,1.3531730976043312,1.5855790117744284,1.6769917536345016,1.4459720182064006,1.3442168353443296,1.008591826967038,0.8926186438268958,1.4583597173266365,1.5365492702055448,1.7062755217022034,1.7822695008368916,1.2167768905686167,1.0034979328488662,0.7474089252122239,0.6894758701720967,0.6339822737660471,0.5716232317856663,0.6677664110703473,1.5659825082045804,0.6287337682360199,0.6808037768874673,0.8880122911399376,0.871913190678423,0.6734754557517073,0.8809813601301945,1.5528416607166793,2.4793801327200917,3.492157371440882,2.9559541932311633],[1.0402937494206412,0.6793623619177874,0.6782351131141797,0.45142092711333703,0.648940248053691,0.41601168986384673,0.3302326356313545,0.4185631521231828,0.3553137784432623,0.3337657420028769,0.35773173351592225,0.47683777716504405,0.37120475357106203,0.3472434969945326,0.48341101318592583,0.4541223152872551,0.42403420774305506,0.4956722136264802,0.65636515852509,0.5484646821136391,0.6351987052663408,0.621525732381267,0.7189978133786866,0.8444417829204302,0.7206312573033292,0.7110854414817654,0.5571756210790298,0.47281187460863167,0.44139745917308015,0.4485187871552493,0.5551886898635069,0.5377659625868865,0.6914630706692008,0.6560477911896769,0.5418309190423969,0.46295106174216155,0.4799218612018098,0.45882663492702724,0.43156648912894985,0.43254698075587494,0.5770749501685439,0.5453795710020223,0.5285694440590939,0.66571628072474,0.8304708930156343,1.2927212717049958,1.3707716858983097,0.7507131759124718,1.2680421770708237,1.5631966753993962,0.8947981501792268,0.9798993936085484,0.7605430040633888,0.6491140057303507,1.0950427308675714,0.6307679170411885,0.530534000238528,0.6847260416909038,0.8243422205701082,0.764175600386061,0.6329290197313917,0.6804770640024282,0.6960885752542836,0.8163814742299682,0.6695473370541543,0.597152473183556,0.8369265437986091,0.6471627392545516,0.8426914000659527,0.7424474638219847,0.9012679841893118,1.184947393811563,1.007320262376023,0.9764092336697349,0.7098932505898017,1.129105905307727,0.6164342855239489,0.6799780464082646,0.5692432877059693,0.5901821661519558,0.5123527506956568,0.5935718049347496,0.9193924863792189,0.45986849986571365,0.567872274555847,0.44423598847141627,0.4692468160568933,0.5665835220931592,0.48980703769675693,0.6266323270124841,0.6245067220324163,0.8791220858728288,0.7605586796463356,0.7201154924300762,0.6236623532709863,0.7518073325872092,0.68033867902784,0.6387078399986049,0.6457759419698395,0.979495993680312,0.667587020053132,0.8404908995852703,0.6096057774180713,0.6520556212233886,0.614162628613236,0.5377601515485295,0.6787247643042413,0.6123842651887689,0.6749533949645207,0.6707222623674299,0.5168655995261233,0.39088057324697306,0.34875152754446814,0.3865122714151179,0.35559214529242755,0.41566466823630227,0.489219790736606,0.4758900665575798,0.7050584006818734,0.5701959063967903,0.542528247708613,0.4468674415843977,0.46695611513475754,0.40963433761798057,0.4242710375228633,0.4882720871275068,0.5083031979205106,0.4696175270604809,0.4619674907966791,0.4472681144488232,0.5099004508077034,0.5539792235764316,0.47878169464331394,0.5114660878471528,0.4900031401901042,0.48052610984401156,0.6637573735765508,0.48611508769055634,0.4197498677245632,0.4137848318929941,0.597804845200438,0.6567734602631566,0.583648583202133,0.4969993574965381,0.4445465659745482,0.3989267124780459,0.3585102934908636,0.3852947317519052,0.3782232489522424,0.45042749486325656,0.573667099551533,0.7421602718420458,1.3336091962725831,1.9022631458389223,1.3127293828516584,0.8639863721242055,0.6237342353112081,0.6434972978737288,0.5223028693522018,0.5697716774843692,0.42077157527272124,0.37722123748962716,0.38947025780170946,0.3951770814792382,0.4653579592620945,0.5550753362673498,0.5426198757517797,0.6920957048389187,0.7932448691312758,0.735888867219006,0.5826954630664555,0.4484693560597485,0.4206036167844296,0.3638730638490541,0.38456186776378615,0.4758262767836361,0.4942512717002154,0.7072864830217781,0.45751448221169627,0.5083811394398045,0.6171815245114692,0.447007857850327,0.4450576517146211,0.44880071725696064,0.43310341463137664,0.6028579090047024,0.7464749781093666,0.8098257676577227,1.8083701200304172,0.9070541588832148,1.1706202944616462,0.6770665114801824,0.6249816604356154,0.6586711886956311,0.541759247494075,0.5989889784231874,0.6517237205252101,0.5846969380292217,0.6199641142469959,0.6735217895202916,0.5595340351626114,0.6193475966997498,0.565723453518618,0.5867781526078734,0.648234585154625,0.653306867885728,0.7696449949635302,0.6889396893696383,0.8862469983975116,0.7060896389095312,0.7472682275345778,0.8474613556884824,0.9008517896253447,0.8440432079148588,0.898835987199893,0.9041276654311043,1.0699632666087806,1.0321093958367618,0.8175244715847142,0.8895199771639475,0.8511564188018149,1.9072262718700908,1.080843261857266,1.6437186022301271,0.893580341045222,0.9305807178976745,0.9343232874776988,0.8764837478090828,0.8036708141000621,0.7811444078520065,0.9086972250852895,0.8109090831110205,0.8960012742648925,0.7557617336730436,0.9559151769949193,0.9840160236994413,1.085361200948123,1.4356048354835091,0.8930452602322732,0.6291916554338621,0.7347378605849165,0.9820110262990113,1.2232525526575817,1.3561433633653497,1.3309653427754022,1.1571564393341263,1.226945585492157,1.4935224918664591,1.3148837159282576,1.0694334295340868,1.4697319661827386,1.5988223856758732,1.1622177567876018,1.3107507312916502,1.6601173197840673,1.496780884815433,1.179315116151585,1.2842670898823292,1.085266774242277,1.1098670673395263,1.0362189753670188,0.9776435562686306,0.9509381514025547,0.7827299586638488,0.7596896454790755,0.7453668408330878,0.7655948408378916,0.6727382176623508,0.7066014582782831,1.0323192248725115,0.9423803662657224,0.8958462816012494,0.9792971943703579,1.2436744684810939,1.23096662515069,1.281839229195211,1.5002021465640798,1.6177505607945273,1.4402856216948474,1.3389602272182406,1.0034071459878229,0.9303508002495231,1.4780207438513862,1.4882544501503905,1.625414182497111,1.6682674080204363,1.1063914667611086,0.9115491181872895,0.6307300510630539,0.5989836252078593,0.5988670193767541,0.6153296393005063,0.7328513190330688,1.6135100016204085,0.6199466754690441,0.7286557787604706,0.9310473229745239,0.8506118839134202,0.7183331593628771,0.9999441976603443,1.6086360888481488,2.712091046535243,3.8745823247959894,3.4434829812428687],[1.1010982865690095,0.7463964666504095,0.7116431606087106,0.5732782847382517,0.7213650027130404,0.5275771238947193,0.4494447091736953,0.4893463766923502,0.4628488782005032,0.446152464266694,0.47695849423930453,0.5634206941850797,0.47943400104231015,0.4942717512252042,0.6000690842284587,0.5759921738660764,0.5650802458980873,0.6287411903512895,0.8175671162676119,0.7028482522012606,0.8294957575425015,0.811015278558798,0.9343606865464511,1.0101419804892706,0.8606396674666651,0.8564666942371831,0.7054991039018567,0.6109394647528471,0.5806974020046678,0.567790372585053,0.7027468604222376,0.6545946242533136,0.8103787358126404,0.8017465432181369,0.6783999053440511,0.6040442441850568,0.6071032355943413,0.5877161029891822,0.5844564880980557,0.588944032076593,0.7053228545612562,0.6921724456051317,0.6920223638393814,0.8105972792170669,0.9829650870805087,1.3952573459873059,1.5184334537043798,0.9008693376645937,1.256287897285848,1.5350622485678176,0.9966205548891668,1.1015109798403957,0.8661277142342272,0.7835668847689186,1.1381153156671642,0.7911897389710548,0.6990419808088204,0.8404396570742021,0.9576176392431613,0.9221594646331831,0.785890501720826,0.8667586203694416,0.8876838257373021,0.9736157657995999,0.8589201621919487,0.7796857214579026,0.994374610899899,0.7987929000625293,0.9509953862939208,0.883387169580627,0.9897067830224652,1.277458557341535,1.13342013927642,1.1377446990909792,0.8936762533663348,1.2620621894071893,0.8135462575147432,0.8612385594391383,0.7522176680147719,0.7523567377875238,0.6377408765471848,0.6343520604314491,1.0336068488212677,0.591856273150102,0.6868849426802971,0.5554949126096795,0.5890731080468004,0.6960078376028191,0.6539028282268374,0.7787201986039561,0.8101839351895134,1.0748274654803365,0.9442787025495799,0.8876217313933854,0.7703480556412204,0.8974538345409032,0.8110336611068674,0.7670981698137751,0.7476998846941297,1.0599392309699278,0.7531417557638099,0.8879377327283492,0.6768961180272904,0.6808357405624098,0.6234658847272861,0.5543869525654255,0.6696323903405316,0.6689087287101797,0.7240850757108701,0.7648200208767623,0.5679756425495106,0.4833024564375312,0.46039154536185073,0.49856860763996896,0.4915359965113979,0.5325112762632085,0.6054304365403431,0.6365700969345062,0.8414900262776384,0.726881838306154,0.6969006964632732,0.5983230996877806,0.6036836259091266,0.5397191087626368,0.5292111991881474,0.576880693483999,0.5994260172085665,0.5715559474340057,0.572695800205093,0.5577206622006109,0.6432496434404799,0.6621735068890081,0.6259138403396465,0.6038247736152117,0.6312145151130777,0.635914468626173,0.7965970367504895,0.6321509947373845,0.5451293492079531,0.5728581752624006,0.7265358974980882,0.8261115064369163,0.7326564784102275,0.6732303310161413,0.5953232510223757,0.5554832153202429,0.5114767737215496,0.5084362097764372,0.47387137076976166,0.5387007173276915,0.6455074287943895,0.8269400416379165,1.3432201852827754,2.0061579935224767,1.4461465690142812,0.9376320555222764,0.6934856769545588,0.7056590606826191,0.5947895752314978,0.6235457429412993,0.5232652426941636,0.5183394056911231,0.5519523360089136,0.5583250491513317,0.5865154132658569,0.6955118027865365,0.6909887246004044,0.857473077433636,0.9317315912575526,0.8874266361054489,0.7409700943872745,0.6182964842687813,0.5827651177668651,0.5120974541771356,0.49483971516156783,0.5348673045712492,0.5590927232406704,0.7278347489309992,0.5449421682509606,0.5617642418664537,0.7318905092796119,0.530713749069663,0.5280718882747367,0.5271018066986549,0.54456947461114,0.7270957131787761,0.8710694809732276,0.9603193921077076,1.9043107616248691,1.0536036386245642,1.3068947691565642,0.8170074385114933,0.800396489813446,0.8211671427626167,0.7085729935770076,0.7423612964308849,0.8038368408036085,0.7038223258011979,0.7395047714519976,0.7925966366699245,0.6247345040731158,0.6314831733779652,0.6326597355408056,0.66683826228836,0.668148362759484,0.6825365945188863,0.8121420717300686,0.7320938810071322,0.8674493110096478,0.7369723761924732,0.7718211903362163,0.8513245675705343,0.9070837221887991,0.8665621043676661,0.9284270503511837,0.9373546887758747,1.106517026803592,1.0618402265609614,0.8580744968716516,0.8915983584413402,0.8594733296491965,1.8838956424506812,1.0745298800121441,1.6166249619965019,0.8651296262881545,0.8862407080535553,0.9061885834930314,0.8690000797713605,0.7760449574636079,0.7734463174414694,0.8920869344713375,0.8352473996971735,0.9408024795639681,0.8193865783621772,1.041044338235852,1.1397303408348705,1.2247866739499325,1.591244819501291,0.9965606716706067,0.7114141094787225,0.7688399287461634,0.9509328334239274,1.179584724486443,1.2638441377340794,1.2745750167729286,1.1084976144301262,1.163746014429439,1.426398810788791,1.2451279200456682,1.0209506436951488,1.4018172722379365,1.5360038719879894,1.1149161346978365,1.2409880023759468,1.5903362242361785,1.4522766986280429,1.128356659618777,1.2195680279253094,1.0326283597450834,1.0386765351932994,0.9729511405852126,0.9114635204349062,0.8990582478572064,0.7677845611600466,0.7391099923465154,0.7423975214079103,0.7840659957693723,0.7408990408013207,0.7794706719924736,1.0977968419487034,1.030628145613652,1.0105623685381016,1.0791811318255706,1.342403444469413,1.3349400864504766,1.3577247367057863,1.5933587394619344,1.6821041689820344,1.4542615201068934,1.3584062959930725,1.040053842743331,0.9414871502945352,1.454284804014014,1.5082056636062378,1.6762744363423292,1.764186741126459,1.19495863781618,0.9950390640848166,0.7462705624776425,0.7062558009549115,0.6570902038871645,0.6396147409790742,0.7348740649261446,1.6388800305784548,0.6565114509679206,0.7585593943453234,0.949700039385428,0.9101351936927567,0.7660038865793277,0.9952359006040227,1.719620885873881,2.751420123577654,3.851002337338264,3.5092854175022086],[1.138753927248156,0.7056306406142621,0.6492199484042823,0.40686308756953865,0.5659339273585835,0.40838388194720604,0.3061562675220292,0.4207983751995834,0.3126131246852539,0.26751991828121446,0.30823673853949457,0.48707292990811446,0.33869272348966584,0.29380783343416755,0.4800193533150013,0.459605713178233,0.41028852921417175,0.4879132387009213,0.6486485887116968,0.5400637010479706,0.6622921217314309,0.6308212291098557,0.7563194335121255,0.8362975151328527,0.6399526130541383,0.6620032437745945,0.5100568594462117,0.4280515569709128,0.4279584105986971,0.4601773955179596,0.5858525262639164,0.6070549101665705,0.792957641353233,0.7528673319272519,0.6237383147498825,0.5055493503128469,0.5311087130614018,0.4673331850986017,0.43029015256369535,0.44494648425016015,0.5072730650415299,0.5342279103204706,0.5224734683534036,0.6067490417112834,0.7635603294260093,1.2099218119467559,1.262115398476449,0.6976070492376993,1.2560358226344477,1.4412616836854415,0.8275127841325225,0.8495993653540564,0.7190400159308685,0.5693849806850759,1.0847567430174698,0.6849519151323455,0.5416864705247935,0.7328097249406343,0.912775356526307,0.7445140500886349,0.6535424717507637,0.728922125453403,0.777879198338507,0.8463752095241103,0.7024809902558791,0.6276090595537211,0.8535295849838362,0.669566105538587,0.8743583444770509,0.7452454156060803,0.9337796404631111,1.2708662550032233,1.049024881956481,1.0278325652816251,0.75842399419399,1.193011272210953,0.6874229408513477,0.7690359230369195,0.65914510467002,0.6551091459190762,0.5824184629282234,0.581033302386813,1.0497356066007582,0.5553720119920827,0.550568845738697,0.4744592253080736,0.4969258153395932,0.646894743954783,0.5457925276049864,0.7022899994349885,0.7005704691845972,0.9512029151757484,0.8299509025761292,0.8058926271474296,0.6814838576622015,0.8007489128299612,0.7150823476100499,0.728352355815346,0.7120964446071585,1.0838592839324028,0.7584492291089067,0.9359277796199378,0.6937742208617046,0.718035144397124,0.6511270150618412,0.5412419779538984,0.7159936749219552,0.5111187606710262,0.5665060412195017,0.6910542494061003,0.442650039626404,0.32930960158031053,0.3104190760841812,0.3367328137254206,0.32950860265206755,0.3623011010646559,0.42947684950232384,0.42724660015672566,0.6791816292213188,0.5571632655042142,0.5089250542559076,0.42183312256935124,0.4290985763481776,0.3723195300421136,0.3685670195437768,0.4055294452678197,0.4213595468157225,0.39517760747790603,0.3830956742906659,0.44525790341329763,0.41805498411528563,0.4639842933891345,0.3947158602269107,0.5086326739135456,0.42262517096217256,0.42065613204397184,0.5926729670859673,0.41289135021048734,0.39765984817685135,0.37311535769116094,0.5758871288835544,0.6343282037306358,0.5489229829215184,0.44967663897345594,0.3744508485072648,0.3656146194675595,0.3185034524565944,0.3766847612297216,0.38555755462266234,0.4468316091673088,0.6252089104813888,0.8080480581082543,1.396751781028138,2.0144937087667016,1.4162786729674968,0.9720138438491334,0.6857172099864657,0.7194576797636288,0.5699930009158297,0.6216958166034651,0.40521908295910164,0.38115439716810956,0.3442043573962889,0.3678812780847078,0.40680789390664673,0.4873070072515432,0.4501693646727761,0.5763292606478648,0.6812699396253273,0.6322849331541618,0.4971315036761409,0.39103860614510894,0.3775187319412384,0.39061283795147533,0.409095392211922,0.5326574423027377,0.5410155973820322,0.7735691612316439,0.5130253465408627,0.553572605229067,0.6877507112517812,0.4731060495780023,0.4377562261128117,0.39554616679329946,0.3718694948757312,0.6093009046287531,0.7574076658220255,0.8046190877098445,1.7666211719801346,0.852849464304978,1.0635706462615702,0.6518992583550307,0.54348807980643,0.5730068685228732,0.4628693903369346,0.4800503559494027,0.5594598254565915,0.4803832576485345,0.5199096816574422,0.5835708076191468,0.5194233559042799,0.6255316835059836,0.5170453629689705,0.5375381268011971,0.6464914764906383,0.6400499328218469,0.7374045878878579,0.6666754026521378,0.8820017101505262,0.6963891401906812,0.7424220133407309,0.8394335269906106,0.8720453835100463,0.8842962222255251,0.9047529613758278,0.9017208334139521,1.0879217091444957,0.9927986034824731,0.8049504399459354,0.8880570678304172,0.8380472512429524,2.0068272529318723,1.0693853990079238,1.6706621861225692,0.9214786058149494,0.9822826737782111,1.008631399774337,0.9568580385938497,0.8357815180775902,0.8082080332009925,0.9508473059943521,0.8183308871944776,0.847167166258025,0.6967783043592822,0.9368256820199143,0.8556700201831812,0.9836345521512277,1.3094247237629626,0.7883527984866349,0.5521818992684848,0.7806432825751491,1.0499665101874118,1.3188147036733648,1.426126261230455,1.414927583668918,1.2314468348154664,1.2822878782258689,1.5587724109703798,1.371195654859997,1.0933585571534146,1.481902413600755,1.5829706009050304,1.1419174271864956,1.3028708606482675,1.6274000093014491,1.4217044635385774,1.143703468507339,1.2529765833310416,1.0696184477928476,1.1136267103521258,1.0688044873441214,1.023143247824413,0.9600286419437936,0.7924215437046831,0.7880260549423298,0.7460278454611505,0.7566927682697991,0.6493179012145871,0.6743983505377203,0.9496553943206097,0.8716425324750224,0.8044461966894401,0.8830002075146348,1.1272998984849767,1.1129899783125423,1.1680525644767503,1.3721438649239748,1.5001979063641462,1.358227520877941,1.2396457316951424,0.942178171751574,0.8816567267656722,1.3649568063377258,1.3569294166752774,1.486110630737473,1.5285001502919917,0.9931100569705245,0.8002464793431912,0.5326719357901729,0.5036102000072279,0.5315881455396715,0.6293858204124054,0.7481846313769767,1.6427364968709883,0.5779447609559093,0.7219130635804849,0.9369855244320449,0.8299016906050862,0.725013847790625,1.0590480599704792,1.7390699528880773,2.935524069234639,4.187653446440565,4.061606494449331],[1.1451328776640268,0.7034699190254516,0.6282930926169902,0.4803698709122233,0.5986615704558396,0.4617399104963106,0.3691759109109768,0.4477392083120147,0.3727401052429195,0.3823815069424572,0.4287235603864622,0.5948986003518466,0.4690287213186206,0.44117440849229606,0.591642681951609,0.6034317164371192,0.5321732384892265,0.6299813066188301,0.7831608317826683,0.6865169512152116,0.8134751064562424,0.7782022799097633,0.9612305055121493,0.9944964560555505,0.7796323252289138,0.7988577921359229,0.640645377058324,0.556924133276094,0.5540945641702418,0.5905706019868331,0.7661953086478615,0.7676760438758958,0.9734728357930159,0.9670308858556256,0.8134611478135523,0.6863422858005346,0.696104380773266,0.5996924717811256,0.5782354452631865,0.5988362493972446,0.6143292968882744,0.6819067541183624,0.6896276831992151,0.7433057260373314,0.9034683251842086,1.309702538323286,1.3818619784625727,0.8365928293122503,1.329781006532186,1.5084840083322317,0.9906918396377928,0.9294798913755096,0.8388633613441397,0.7124655365008118,1.2158364369974335,0.8710450439169289,0.7070471419825493,0.9146339243021412,1.0584100215605206,0.9011790996171128,0.819540843675012,0.8992918555748581,0.9721447668413311,1.0493003859144634,0.8817358080323457,0.8081509006741773,1.0185652501409224,0.8193520319314244,0.9585887255456712,0.8306887006546149,0.9894952691088257,1.318531753555602,1.1056729634316318,1.1598632686048855,0.9216691355836922,1.351906298804942,0.878379656375713,0.9913630675035044,0.8711981152177645,0.840842912679099,0.781231692751797,0.6992874583581734,1.2318859316836335,0.7052386721054182,0.6551016281431098,0.6076578947570125,0.643901851620634,0.7895139715691682,0.7358768022366885,0.9080104555673694,0.9120936697616372,1.1555505913947417,1.0413134563402122,1.022229552508789,0.8637123345496355,0.9867337405468803,0.8335484739235187,0.9059747004179838,0.8632458861363015,1.2200652073978855,0.9058481586773454,1.0197114616827248,0.8107213206770854,0.8021114241653949,0.7267588770245724,0.5961783443357583,0.7391115188275135,0.5282161233873527,0.5734358865164905,0.7371567948852169,0.47626946289331923,0.4157668820733445,0.3969371851076694,0.4470739085548062,0.4502566787174685,0.4781587992058066,0.5340610805992404,0.5523673700007568,0.7771369597287463,0.6564922967316182,0.6011092799060509,0.5301412430236433,0.5372794897659571,0.4869284961730654,0.462207202417187,0.45549401228503367,0.4584055376427032,0.4680711546321211,0.44876083842851966,0.5107484365837244,0.48233765468242473,0.518912949998067,0.4651243148877312,0.5908833147641547,0.5075430098291726,0.5088775069463901,0.6485455157006672,0.5173765112147006,0.5062921888216895,0.5004306286884591,0.6745029816858655,0.803573076799594,0.6559064713078242,0.5814991291860792,0.5017540944028029,0.500232888181554,0.45488535996473617,0.4991216355874041,0.4917156371720437,0.5229630333192641,0.6774946590002152,0.8665130143285649,1.4156081729420456,2.1115824000051395,1.5384206806370302,1.0728248197703896,0.7767697654544046,0.7947075009484962,0.6880003004248476,0.6876673890731609,0.5172264045662864,0.5126359295055329,0.45086817495046805,0.4858005247933564,0.4939415701656823,0.6183423296959412,0.5361481468274665,0.6636514654918202,0.7610409473005947,0.72229594718491,0.5788621211547136,0.5016836994481528,0.4649145342233482,0.48454700076980123,0.5215071304106982,0.6279216722150405,0.6463161826070525,0.876646401350061,0.613459931968649,0.6557772823898036,0.7605715828638231,0.5457965747737529,0.5084506601975197,0.48544819192672517,0.46840201280140675,0.7365669991699683,0.8701007712405469,0.9472309234243744,1.8195940786459845,0.9370796981690759,1.1473603966047337,0.7216185565080118,0.598678468896852,0.6162431360496714,0.5065048986815108,0.5368353447527597,0.6226274021677755,0.5268932564009681,0.5701903291292503,0.6218830467969972,0.5201107072391072,0.6066424538643944,0.5192306933190504,0.5436766406056277,0.6199094001702503,0.6221430748179747,0.7489443712581564,0.6577240265589624,0.840956335651667,0.6859886717241646,0.731715424862308,0.8196572660980529,0.8538314400507645,0.8912273140606222,0.8998504550021784,0.8964005812728382,1.0829336446142408,0.987580498734116,0.787409948335654,0.8570054538602306,0.8130257920942223,2.0169349256425235,1.030399125220433,1.6204502253683775,0.8687462042443801,0.9142996000113557,0.9407377068971639,0.9066776756013781,0.7822738056497872,0.7512669928899558,0.8970984276041405,0.7781298138749052,0.8200427749654805,0.682619107290708,0.9423529428473751,0.8978437905197728,1.0207967161287486,1.3954914015637276,0.8174767674422582,0.5961646879025309,0.7733820657699338,1.007623302276025,1.2881833708452428,1.3773401967410082,1.3855672105037897,1.1925354724788257,1.2257851827841346,1.510967951946108,1.3057659259500483,1.0372691293040293,1.4185266442764843,1.5138589706686822,1.0849872358980235,1.238834691163729,1.5684421615336577,1.3655115089226761,1.08875809874451,1.195619632755877,1.0110207972706102,1.0497350772966894,1.008279224397973,0.9694587980179298,0.8935931662279619,0.7452610771779992,0.7353198203605522,0.7019016595765762,0.7238683403070257,0.6374272146768618,0.6541333456801156,0.9395313661284713,0.8824989608896938,0.8164624663518084,0.8803055417872205,1.157106631948994,1.145476470454308,1.1946287958504984,1.4225027161255102,1.5488005325788647,1.3562106524223005,1.2380111351692378,0.9409081986608054,0.8645351268709817,1.3306735515143604,1.333612877358311,1.4896383022216544,1.5567904888763127,1.002589679911367,0.8228468165023297,0.5687529200373014,0.5562250245104969,0.5351361990774035,0.6137467557773849,0.7102220663416519,1.6431812132461356,0.5717530656041611,0.6881446415024857,0.9074973228093705,0.8044432378361015,0.7223550883067769,1.0234495424357397,1.7821417863564684,3.009381303901517,4.278467161717723,4.336887299311509],[1.2301271521972021,0.7208122707760775,0.6686256959680551,0.4269629269260743,0.5162163733232595,0.44223583683403117,0.350511802947275,0.452774528038137,0.3580148219065171,0.3290701031068861,0.3914588635521945,0.5904621844364494,0.4359459004504609,0.3828006784629388,0.5817476114058748,0.584948035892048,0.5011629712211987,0.6034023392117437,0.7460235790940807,0.6651412625445257,0.7827793569061726,0.7415240110978075,0.9052284404699993,0.9490233740151907,0.7182943971673933,0.7467722502963869,0.6090141204642769,0.514834382316473,0.5487520981771205,0.5917751100784782,0.7299386724258812,0.7597984201773056,0.9600199474542899,0.934612495725364,0.79833480267175,0.6712995845891928,0.7117392112528834,0.6049597869061288,0.571163145775327,0.6005573244065326,0.5852902598927822,0.648661013782448,0.6502222878261421,0.6925819715236754,0.8230636107753402,1.2287327465342148,1.253339334911187,0.7844844118319803,1.3268723023009126,1.4365550733169814,0.94177208347454,0.886828462963486,0.8276613133696353,0.675293119167767,1.2062200854476703,0.883688293421325,0.7015736896223423,0.9028204301728288,1.0977679031027792,0.8565975917491454,0.7945879554054462,0.8686155959520161,0.9416961390824777,1.0203927823962502,0.8436149772643603,0.7714937026076035,0.9555913944903774,0.7936340295079178,0.955594537504338,0.8154617865040933,1.0207227300793975,1.3604472675171533,1.102490078164065,1.1152728904587965,0.8807027003443089,1.3121422429482068,0.8560963867632476,0.9520653633668213,0.8520522360154663,0.8424867513274269,0.7919202117456803,0.7138676149278581,1.2752777694457076,0.7639667344969464,0.6357131416831449,0.6321525021300517,0.6544159924231525,0.8073092309749004,0.7223002249518345,0.8894086979965127,0.8809288447195829,1.1011378870288036,0.9825229018813557,0.9719027903320924,0.8256076212750553,0.9292375460384821,0.8012270159122789,0.891135005903622,0.877428492345383,1.2580148542053855,0.9328227598960592,1.068570909412819,0.8507011967382445,0.8536292428410683,0.793368250267112,0.6224929083837728,0.7966016563856058,0.5179958787991792,0.5615015704668919,0.7285778697498004,0.4749694858152995,0.4138347898801292,0.37378187265517476,0.40964450238974964,0.41754698441861593,0.3962377908572905,0.472918499093632,0.45965447407844306,0.7124424303684643,0.5920713277909089,0.5431331552078749,0.46226596762116606,0.4615273667263594,0.3909550361968357,0.38121588579238175,0.3997290536355977,0.4132894075712213,0.42562008638272064,0.40377436383801424,0.5144207908309357,0.4260607769953048,0.4711795569181518,0.42314423619253205,0.5904007089668761,0.4570544810009228,0.42859427276283435,0.5652848273509616,0.41232618832859663,0.42716130753558246,0.3997856635825634,0.5784549528987784,0.6861174683509023,0.591545653207058,0.47955851809881644,0.4417606790241021,0.470403071493751,0.40729282370769004,0.49149052962755735,0.5000281146667735,0.5181061816370008,0.7279800465569313,0.9124098637700842,1.4889162259072173,2.158623478242869,1.5741738229660296,1.1291061606557142,0.8166939352527159,0.8410281268324138,0.7213654210678142,0.7317876358157037,0.5139199753074184,0.5045381367178359,0.39838710142201245,0.44971543099388867,0.43346139488666047,0.5056344357425976,0.4376582559435961,0.5368469784282022,0.5988116557972087,0.5811172295007254,0.4498802369857218,0.39617179173158157,0.42819028842949824,0.5005913758465966,0.5452090169881231,0.6830850593140224,0.6932918126289028,0.934443703586948,0.6644406117764571,0.7203783825861583,0.7839635320410929,0.592314169358423,0.5522943454572793,0.5029395354082795,0.46122268550512124,0.7394185209196421,0.8683011334210923,0.9200706709887053,1.7763126416303854,0.9050097798236558,1.0481912133855964,0.715470282653684,0.5366426843013344,0.562712431760193,0.4627821972740645,0.48363704573654864,0.5353408116341455,0.46691458738780806,0.500096295869573,0.5748865504421894,0.5403678673496177,0.6625222955982253,0.5273486812680388,0.538205989570082,0.6853163864458914,0.6755943965554086,0.7475820471709475,0.6924251145978625,0.8990926272195258,0.7328391635147584,0.7632018355916671,0.8613723493466864,0.8967027836326212,0.9470176895084134,0.9304488937903278,0.9092863973969112,1.0967086222423537,0.9540232566112516,0.8059402443880016,0.9114846740549601,0.8522600007654267,2.149926463764832,1.039628564855993,1.6453494491498644,0.9586755729921893,1.050800235350167,1.0832238740903386,1.059871803972475,0.8844888375850156,0.8317926583663774,1.0012275902572507,0.8515546915723222,0.8148593902314636,0.6661869504371792,0.9291327720256042,0.752310742359187,0.9198699029726518,1.239751491909011,0.7196533302064405,0.5954317843497091,0.8613465453587356,1.1163396709854494,1.3969259457665917,1.4780363847529245,1.495521212043401,1.2973797931447244,1.3220285369037144,1.595006951688876,1.3823709156995219,1.1111072836296552,1.4682006692955893,1.539953016500355,1.1279728780380784,1.2872499096555665,1.587199533889215,1.3767156925254636,1.1384486143929429,1.2475364429125548,1.0696724414709187,1.122448496889468,1.0873682799071145,1.057568107704535,0.9773490830609709,0.8195645943971762,0.8316871030865637,0.7692497307494266,0.7670416774558082,0.653223608511799,0.6768265688134657,0.9066108833312879,0.8240058862784572,0.7400200046975784,0.8194674177263553,1.0452215108370115,1.0218933357373763,1.0747725460403204,1.2629832660418094,1.4085747783429685,1.242219815636022,1.1401308936606283,0.8903910496777252,0.8446016094811416,1.2544303901959128,1.22925729847827,1.3526247441439863,1.4169991770096009,0.9020159179942858,0.7379509535471882,0.5124240148590453,0.4917995946497851,0.5341244169496498,0.6659944869235916,0.7838666455804301,1.6518149526864285,0.5890661670765128,0.7598962136082047,0.9686002768355017,0.8164091125469645,0.8364021813228724,1.1065462309389895,1.9299052646621468,3.2077479391476453,4.570489867676809,4.817208002769836],[1.3422726764978103,0.8212026025214302,0.7703112521005537,0.5778408366857479,0.7076185957700771,0.6601906863551841,0.5929499877138967,0.6371712430452698,0.6011383419715512,0.54124196312847,0.5661142507516703,0.7197644717786781,0.604428010952183,0.5361049255459587,0.6701501290393138,0.7011422457923284,0.6304561589504817,0.6889199176128984,0.8337757716859147,0.7415316999492937,0.8554950679477658,0.8108058758489379,0.9908398566685475,1.018212313794273,0.8108849678579073,0.8238571263851039,0.6951360647458616,0.6220198557357547,0.6640295512831791,0.7241901691156762,0.8319139578532262,0.8932989604733721,1.0954192563384668,1.0692778730945796,0.954723463383785,0.7920335967474986,0.8492666816069355,0.7340693941598898,0.6998839943886809,0.743511881571805,0.7315999069010363,0.7237465099792603,0.7303141808413921,0.7398032596444131,0.8675283113144313,1.2235980455546278,1.2395549566406538,0.8176217490686368,1.3129358366297637,1.3911049474103165,1.0315280069493853,0.9833793885902868,0.9728277362153016,0.8266546033516692,1.3239011489976353,1.0611882242103456,0.8122911707269858,1.0460511149068519,1.2596977879305258,0.9650275266278798,0.9021928114996085,0.9816398216370751,1.0575256640742774,1.0979862791866002,0.921851745998856,0.8628758678681522,1.0066921186473352,0.879215379419611,1.027891101123191,0.8678145016304393,1.0704860919577919,1.3970201827675641,1.1137987890070393,1.1541000158084758,0.9581592053349657,1.3978722377596593,0.9542551206341898,1.0719706410530265,0.9863051450813822,0.9825769993636848,0.9452482280870791,0.8670995459522306,1.447597167376784,0.9837551543694936,0.786890459803408,0.7818703641624757,0.7903905035770761,0.9553373825623793,0.8519275578488504,1.0313898693581123,0.999135849213602,1.172098330679867,1.0634759531317732,1.0643836905481472,0.9085657926219326,0.9825976333201571,0.8520967608098932,0.9937111855502694,0.9615457266543114,1.3215651587563795,1.048353380665977,1.1601640384745677,0.995904990533539,0.9717092178635703,0.9367898045922757,0.7747196807854463,0.9325563658444603,0.7030170073469426,0.7304011095240163,0.8983400835787194,0.657401174054906,0.6113572571165086,0.576349610944564,0.573873354517418,0.550291831639818,0.5298943901715244,0.5793328075614284,0.5927667219946261,0.7823457985037698,0.7068425268448013,0.6465175614334361,0.5775116726160874,0.5817125642993488,0.5446903784696207,0.5627219142213008,0.5567459906968057,0.6392148169543582,0.6229207998793642,0.5972562900437145,0.6522251292234211,0.6132442314011352,0.6613357177814646,0.5987959261395863,0.7358056386989865,0.6106522597260621,0.5755223158816081,0.6790753243695288,0.5633680669083068,0.5311810404374763,0.5608682098386975,0.6827035586422129,0.7969887938460117,0.7089862582329383,0.628196016332781,0.5934863801122365,0.6017000408011592,0.5577557638212183,0.6367037931052455,0.6664701634984861,0.6590698541510102,0.8300702485247944,0.9747495351489411,1.5434320154488959,2.2013813531301833,1.5977035392404966,1.2222961823663263,0.9174858879842718,0.9372605578205188,0.8402597584599178,0.835755033159171,0.668780884417618,0.6436882058214509,0.5579638823406745,0.6144429491837872,0.5999990194665343,0.6214939079218523,0.5641297569419716,0.6477473135128944,0.6967805077828622,0.6904821155432423,0.5994224791898107,0.5680979806782994,0.5748087660059243,0.6553606109920589,0.6961287318527322,0.8350816547545048,0.8197993506630763,1.0424400999003158,0.806959832529033,0.8722431120746305,0.8847060909084953,0.7354901522038089,0.7068721206449827,0.6633323638899861,0.6281001715334128,0.8202612913458557,0.899403700995581,0.9925089728529582,1.7234843873982044,0.9240709597451664,1.0896053336292815,0.784718812821467,0.6356014385085889,0.6541900154396258,0.6154485863075698,0.6533247224952783,0.6824402364876379,0.6411391287435023,0.6725975316644158,0.7467713023479314,0.7149429093114067,0.8036139921702398,0.699940839796927,0.7144096823840873,0.8190589238343621,0.7986307882104638,0.8906384596909878,0.8261725792227317,0.9853837139145436,0.8529174442580788,0.8880160571503285,0.9532483489897305,0.9737741238385867,1.0710908005886968,1.0364025638367986,1.0274190259473606,1.2131073736039804,1.070218176444139,0.9344299607271833,1.0177636016258451,0.9715030710186809,2.314062465972366,1.158742470488301,1.6816224880800572,1.0825749910081204,1.1779316255260683,1.1971888107779107,1.178856211497537,1.0242218533463716,0.9596512273801728,1.1117387192213046,0.993556045321812,0.9357958268830754,0.799928082200878,1.0027997327407268,0.8649575217762183,1.0355646862366072,1.2933226002599445,0.8633847449836857,0.7492923907676708,0.992834914310109,1.2116098820557557,1.4714491252954311,1.5667321662019231,1.5658539830089357,1.3696815152592603,1.3779091682836673,1.6411807556454214,1.420227309355774,1.161575341300071,1.470913271195672,1.5120506514235472,1.155855123108238,1.3121056101670663,1.5728749616515747,1.3673264191466294,1.193970272520409,1.2974166978056694,1.1422924544743116,1.195909823939076,1.166739373839705,1.1600397351517286,1.0754971960691677,0.9358516195583876,0.9423990430669252,0.9029555735436424,0.9080097279455653,0.8081856790374926,0.8312886716682423,1.017602068771342,0.9646560333134492,0.8927284504412667,0.9528678558527311,1.145799989606304,1.1359444424052492,1.1758791500047292,1.3311495875477626,1.470923752025189,1.313718282691331,1.2370137026121555,1.037282371592518,0.9859537116628223,1.3454322071294722,1.315878554870445,1.4203511939115439,1.4730721912368292,1.000920355322438,0.8777425910246266,0.6968404394543181,0.671437393409832,0.7164889198825862,0.8005557503426151,0.9005975661266655,1.6438897502012833,0.7264655762419213,0.8526923248410087,1.0779884940912967,0.9287498348609053,0.9181895106112417,1.1728846795005217,2.0121889059126423,3.2643150759971693,4.733413287298663,5.183928382090579],[1.2545541575815713,0.7323389245951003,0.6788986574822375,0.4892415053029115,0.526899454796038,0.5115624662962135,0.4346268787455286,0.5102754745108676,0.44482514991996214,0.39691576408518137,0.44151597391239694,0.6443117048246834,0.5077388343623415,0.43242683645763935,0.6016278911058384,0.6349051636236985,0.5503120843799849,0.6351535558522567,0.7887111107804451,0.7036846678772742,0.8326724939656424,0.7759112759213066,0.9633155403088491,0.9883326227604241,0.7601879203271734,0.7806907193849539,0.6451314761423083,0.5431024538943965,0.594201360528032,0.6582730622271441,0.7848100523398855,0.8483650250430236,1.0511053469455136,1.0179116713163556,0.8948934839669808,0.7418420815465373,0.7965458397316845,0.672146327787058,0.6343024662413822,0.6753302714260264,0.6342634551700389,0.6823638903319744,0.689558069440173,0.7031944751433548,0.8219354882588961,1.1972524914534113,1.2007191181145802,0.7987832628928969,1.3242722097871256,1.3826954868211712,0.99674726346506,0.8994548733827638,0.909205888942699,0.7358929841021783,1.2804466346534442,0.991790813783802,0.7690690754904148,0.9871791066739402,1.1961451647199928,0.9079482640807062,0.8458476629974996,0.9154649759699302,0.9988925970220106,1.051628281638433,0.8798671474023769,0.8188510267207135,0.9867592058134995,0.8368509119068129,0.9933148433153165,0.8344812181633017,1.067922677572354,1.4120764845149738,1.1019842997108749,1.1368503192773332,0.913326526186765,1.3555567070760788,0.9109200172873833,1.0191375671693692,0.931433635180557,0.9174755474516155,0.8927237450045491,0.8064043234089646,1.4096451825012315,0.9022524455741388,0.7063338625153266,0.7137738638088384,0.7288693405172578,0.9110110328346639,0.7930755220497185,0.9759382890275056,0.9479561512597797,1.1356105166125214,1.0297693312996734,1.0354962135057961,0.8787926388375951,0.965785311062239,0.8258385262623867,0.973609262042386,0.9417254165378577,1.3153142994667901,1.0131076929305103,1.131886042534763,0.9443835962313617,0.9204926259677748,0.8692701599215366,0.6990599734133994,0.8897061480352657,0.5799799591468754,0.6090436694115681,0.8402903607071485,0.5516497239300193,0.518458478766795,0.4492320083077862,0.4683371673439719,0.4667206431088297,0.4351213139570963,0.4808599558480198,0.5091950458217999,0.7476467900724433,0.6145227451023945,0.5732364644701714,0.5024255596780696,0.5174376447331268,0.44715319939103215,0.4194765148218986,0.41537430804930636,0.4644386739540386,0.4883473635311343,0.4703437984586181,0.5783021049346897,0.47833280680672247,0.5413687460356693,0.5054244311682443,0.6972302880966061,0.5283024366578266,0.492741259070829,0.5709078402931996,0.45674218919872905,0.4754379409940343,0.46004784115514513,0.62462374390873,0.7374033757537467,0.6256929867523464,0.5224216428813303,0.49786731734163964,0.5220929277717955,0.46450393578754995,0.5586769106011454,0.5819249133791398,0.5776554955811686,0.7891118324793812,0.9582373773990727,1.5066097874948987,2.1993922003228152,1.626694490739801,1.2054200181474328,0.8817197928354951,0.9097949345358792,0.8012070392209726,0.8093106395601234,0.5973241502133009,0.583474468303963,0.4636209735173702,0.5230321532353558,0.4822669313164508,0.5612393793154203,0.4756604560738376,0.550368566886972,0.5972036233113552,0.5898638982807879,0.4925008709663487,0.4624385605180554,0.4928814607641914,0.5886030467646975,0.6439495631262289,0.7736202464171693,0.7692780706867705,1.0032819010495186,0.7511024860659186,0.8060534908039295,0.8512889731891846,0.6859296838817943,0.6543826213791599,0.6048994049635311,0.5490599040654613,0.7858460304724325,0.8881577415861972,0.9546923852594482,1.7071668715159987,0.9000004529213289,1.0360771236585509,0.734969054271091,0.5800112161075522,0.6190606607796478,0.5495952439293524,0.5461438894697642,0.5567368517801933,0.5063958471380111,0.5338543413865987,0.6196473037746102,0.6016259310889864,0.7141927665233923,0.5904265788431673,0.5917508037545466,0.7270221062277912,0.711511377219392,0.7952551273068282,0.7214456754157361,0.9039423725599639,0.7655196264158661,0.7936461980651686,0.8768862792874316,0.909853722393014,1.0026006594001826,0.9453555667975406,0.9175849566049461,1.1235076855760218,0.9356467263988789,0.8223375466099985,0.9076261920524006,0.860692246079312,2.236139912285291,1.0511531605242392,1.6281646768066314,0.9889878739711468,1.072394601408937,1.1080489025511637,1.0975917757022975,0.9104940856947098,0.8737025589770913,1.0493530354212135,0.9125227094964449,0.8377083054462408,0.7006981074463944,0.9733230676094424,0.7266831521019781,0.8968254659898849,1.1945462398690718,0.717416277839142,0.6589873936108158,0.9316907492950679,1.158892025556417,1.4275267509078733,1.4862781610169922,1.5056875697335155,1.3079157002675437,1.302498162578865,1.5605131792668496,1.3454050175336145,1.0858032276438254,1.3925900029267368,1.4462035362719663,1.0884902639705065,1.2366739593522134,1.5092790932708733,1.3185564674462849,1.113519003453534,1.2103210994543063,1.0545620375717526,1.1098882352840898,1.0929560751697485,1.0849541155161888,0.9838566840017579,0.8472596802898263,0.8641858797568936,0.8033020030233157,0.7995640102007874,0.6943218802826291,0.7231263671003421,0.8768252474806036,0.8168413286711799,0.7429451252840593,0.8169919725341056,0.989135275958919,0.9719316793538376,1.0065895076755131,1.1887271190291278,1.3647728080191968,1.1666791679695823,1.070678986721336,0.8809193098547419,0.8308655285386567,1.169743762049543,1.135220771773999,1.2435338377880343,1.323126963367328,0.8582506047651418,0.7188270319079658,0.544169201403315,0.5223232589758768,0.5790628882442944,0.7155496101495393,0.8202964890559414,1.6163700542623671,0.639306744654044,0.792355588776602,1.0303835575419968,0.8460718695201901,0.8768302266759429,1.1464812464786485,2.079559087324437,3.3705065309573565,4.810444996638725,5.356422644364377],[1.1384741273396122,0.6246752082487118,0.5771067749894766,0.3882510195788984,0.46602675682063643,0.43032569016606526,0.34761113098730945,0.4494851486791208,0.35298616444086073,0.31983662508959637,0.3786452991363335,0.6261557971811564,0.4552739409040389,0.376530387488819,0.574089158521004,0.6180951330906995,0.5181824905600554,0.6152729383322724,0.7777614893726976,0.6849628544786548,0.8126458422097502,0.7618791558991338,0.9666737577523354,0.9868228719377544,0.7565084734510718,0.7687219123168592,0.6289018158138504,0.5224065718378934,0.5638091795959728,0.6264220987152919,0.7826788465591141,0.8424043369543291,1.0425660442713198,1.016409957861306,0.875910183212237,0.7298632059670096,0.7736532487801342,0.6404957247184794,0.5952516823681188,0.6367892888345272,0.6192639994770097,0.6697982224218092,0.6836794927075867,0.7016813533912463,0.8329833208522542,1.2158037914254043,1.2454319335428703,0.8008868052832487,1.2903042081564564,1.3813621515889625,0.986572169707727,0.8898326053288691,0.8802456947560942,0.7112794336669738,1.2339261603190175,0.9457029635680545,0.7374195066397556,0.9593856870846322,1.1309588678477387,0.8891102462185948,0.8307936798676802,0.9053204666390428,0.9924491047975874,1.0417846402695066,0.873913178260236,0.8113719058255784,0.9800422461113959,0.8132885968728287,0.9685687927492271,0.8057591705397995,1.023374660523264,1.3555394041339028,1.0717849122206018,1.1127153913325614,0.8986352401692148,1.3543826960571752,0.8920857887112033,1.0081100615044516,0.9113262484001451,0.8943358917791115,0.8554571118476958,0.7623326501846645,1.3963748802060951,0.8328619736513038,0.6729216294801537,0.6680186067149125,0.693108256422683,0.8734320465574121,0.7799536519052895,0.9676984345764371,0.9411847823133768,1.1616950767211718,1.0486725531450396,1.0535631949354127,0.896711952655337,1.0088845651182181,0.8513683117429707,0.9785470580190543,0.9319599480062492,1.3019106666291809,0.9710691949282678,1.0646802009130978,0.89993350587821,0.8713039391360815,0.7998200744339387,0.6353427314739806,0.7913998093257447,0.502106155293562,0.5173924775819034,0.7587006839766552,0.4583888241216529,0.4384938837727333,0.38607155627607526,0.4086952551090975,0.4190713260786492,0.39982308087373447,0.46192270951808345,0.4926868419117343,0.7418441155131789,0.6125055137457713,0.5562326179739223,0.47735412137558314,0.47613012300823554,0.3882855649569928,0.37132749025292217,0.361614864042055,0.3886031630270811,0.39049291314842205,0.40300499261517914,0.49074076308178766,0.40072987951680994,0.4490864912401624,0.41527700668648143,0.6016153479227687,0.4463922049643434,0.42531708460306167,0.5562310052877368,0.4013889331831503,0.42955106998791354,0.4215412192960634,0.6129625135461856,0.7653141006794346,0.622696316480644,0.5130010953440926,0.47555816755225633,0.488635201915636,0.4290160936124229,0.5009122072290066,0.5156776663145733,0.5283893554138039,0.7322187893584265,0.9395461215266122,1.4226580529173902,2.1408488802935546,1.642429528295266,1.156836480100428,0.8392214235118679,0.8662401507234606,0.7526756024026867,0.7386919196964375,0.5195013097822593,0.5372898649267002,0.4214156766259311,0.470811449809032,0.4295803412727923,0.5299619942129956,0.4303024994680604,0.5331936330006716,0.5681655766853844,0.5667063103911472,0.45011248780361646,0.40301517047667584,0.4248029840760978,0.5061617568376275,0.5743509565692496,0.7038209043534831,0.7165613154462818,0.954253275847888,0.6803897332716313,0.730228608787993,0.7916631510703611,0.5934423237618529,0.5569699603372408,0.5090997196336149,0.4641152125549827,0.7492514329313888,0.8695701905576715,0.9396517499308445,1.7379665113410332,0.9110320683930172,1.0717376707501431,0.7107209386239078,0.5488846278197873,0.5688884005881144,0.4749572131701498,0.4681354202429596,0.5156652723386886,0.4369390957189137,0.460726764693787,0.5584103638161728,0.4777252545732202,0.5826548627864894,0.47470936122912577,0.4705822286250661,0.5930743341699006,0.5992257212415476,0.6943716695788981,0.6095951785611426,0.7924142115111814,0.6784019078751106,0.7002589111822158,0.7898441081983546,0.8393763734700346,0.9073394005749953,0.8618904825483387,0.813007107394094,1.0256564556699246,0.8270834788198234,0.7250600291407574,0.8070371027005542,0.7255751513878503,2.115787758607608,0.9142645156935201,1.517730221556926,0.8320327248983634,0.884976960153912,0.9401131943401125,0.9449723181645201,0.7305940979204156,0.6991774860722061,0.8919235353503924,0.7578445627788697,0.7018585702155977,0.5759665721419227,0.9228855467167156,0.7135540987239343,0.8646160481496015,1.252511382873802,0.6665387452158147,0.593206281778977,0.7971949480278052,0.9998062090106568,1.2822214786791382,1.3239061672694767,1.3662257773446722,1.1614138345497447,1.1541871439129556,1.412631618766555,1.2030216071255768,0.956920572658093,1.2744433946282474,1.3491766642343554,0.9927983631568165,1.1184775482054816,1.4056854291090972,1.2521524326374356,1.0236185771068216,1.1045532858231144,0.9354025711455158,0.9654977100324521,0.9386473428407831,0.9177266198549332,0.8300536230535109,0.7061723845794545,0.704204098806797,0.6452046625806961,0.6633514275161146,0.5639283162382495,0.5786621902535075,0.7933826731047947,0.7355973340123709,0.6695541489424907,0.7287005891706008,0.9209071806824403,0.9140369921691384,0.9508893556588033,1.1737453392443025,1.3274174457884733,1.099268146153359,0.982508795720727,0.7773135798715307,0.7215476433764394,1.062229920663666,1.0527513949652545,1.1874825756754006,1.3154248388249807,0.8314660715415825,0.6691969503652766,0.46186129406937454,0.44614377106634673,0.46381686444359566,0.6068327183089619,0.7054104131971272,1.5808635112993625,0.552816064207115,0.7124011567812764,0.9495854364215138,0.7887340066321186,0.8224371521898459,1.0749870154756402,2.0704160317342537,3.3724303010088814,4.738613971727261,5.287358482384664],[1.1089978434706582,0.606159462295881,0.5628689026627622,0.3854528740965242,0.44698667290106603,0.42139841021963176,0.32818637011733715,0.4243428433435143,0.3278645471104367,0.2941233336551697,0.34412625811027814,0.5690987665866747,0.4071371888370437,0.3539910846954504,0.5248338823624955,0.5439160985842177,0.4732550519084674,0.566426488997587,0.7317261848744661,0.6265548174082253,0.7428549102419013,0.6962491889495023,0.8599799150693841,0.9050308683750545,0.7043305353115564,0.7283329429821527,0.5932186928185048,0.4954504914000638,0.5071285508399144,0.5484312341545132,0.6691741041550228,0.7126499266226188,0.8837555887966777,0.8326900391437437,0.722079916546769,0.6126982641607303,0.648930135422533,0.5587306201320803,0.5317558921028691,0.5595558007680927,0.5829225816043991,0.6180516420217298,0.6161117776308662,0.6609111878498191,0.7939263156557808,1.1913669551793624,1.2058868220445098,0.7530342339743317,1.2972767519150796,1.384848483835515,0.9291465426877757,0.8702445616317733,0.8198541068458622,0.6581888549068602,1.1667114435016146,0.8358280401618854,0.6500578498582857,0.8581368430111906,1.0170654135986175,0.809953776984987,0.7349990643800757,0.7911083364322938,0.859781376758362,0.9056408591055648,0.7674348401290285,0.7096786198196499,0.9094427959531807,0.7365659991997523,0.9097400376634072,0.7714564815746571,0.9855709765012939,1.3167742791408876,1.0477638476048035,1.0371524225335578,0.8032338247966228,1.2169214410171443,0.7583470701027162,0.8333459911340931,0.7492218917819885,0.7525623109597437,0.7033612781279286,0.6538631660604306,1.2641687368821932,0.7183630466982405,0.6215939411679191,0.5728119109272314,0.5903527588444253,0.7382509509585676,0.6491858990465379,0.7932579371626588,0.7857495328417979,0.9941166834904115,0.8829273943999637,0.8720092293601354,0.7640366866394375,0.8716159334725321,0.7856473238288956,0.8377073293832189,0.8248343365394506,1.184981883777661,0.8434000316097472,0.9599246862594428,0.7819859040692678,0.7853033803214479,0.7088667209600056,0.5674206420729315,0.7141883044369061,0.4648149050071965,0.48564778257043356,0.714187075798758,0.42224949713514875,0.401434438904548,0.3585711956480307,0.38966589252368,0.39896458169540283,0.39090830033429824,0.44968015873120987,0.47219172917472246,0.7089156165188228,0.5968773915214487,0.5425210612235559,0.462649553844559,0.4555002231273966,0.38083829367462335,0.3565942110006297,0.3494232049990595,0.36990254388672256,0.3743954261722719,0.3817724475646635,0.45847055052803004,0.386526789086649,0.42369500596499665,0.3957884529880638,0.5649865379830404,0.43044930072360105,0.41505336985230334,0.5507411242796876,0.3942335764151261,0.42555700115908457,0.4083481577907437,0.5957260328014297,0.7003714461026381,0.5877823070937691,0.4930070900338119,0.44166920067491877,0.4531056563626067,0.40046068965138404,0.4607824033080763,0.4660377705806715,0.4982629628630722,0.6969077286381063,0.9134473715338931,1.3470330469247167,2.083177553113923,1.6121326949275203,1.062558793202538,0.7640288686168704,0.7962671462743688,0.667658357098543,0.6763637359270449,0.47470488735537647,0.4828657476049636,0.3981706192808956,0.4351525118571477,0.41884075974119306,0.5192553659886033,0.4224662047025202,0.5241632329811564,0.5588301924876864,0.5588512179323318,0.4412776293414062,0.39315292159035903,0.4064517406147798,0.4635424071196974,0.5070050940921954,0.6156465178847038,0.6283757345748223,0.8496022642907369,0.5935434151850003,0.6439295337583777,0.745619254627037,0.5328200860120248,0.502844602902677,0.4594906178991491,0.43063457175128544,0.7093507521465703,0.8325370170612851,0.9021509650681424,1.7381639020604969,0.8903485616312465,1.0617026637997127,0.6994106858509161,0.5404147481133096,0.5655323741154167,0.4659893623135314,0.4583328797570457,0.5114711690745631,0.42395118759482675,0.4488190959796159,0.5367401482051352,0.44282789242484566,0.5414605056453093,0.4420234524576799,0.4441966875931538,0.5519383959982539,0.568643241929893,0.6786684523643867,0.5845940931031177,0.7527733675386968,0.6580583606252777,0.6759780039612349,0.7638026865184573,0.8241300943762625,0.8937593014268643,0.8369589004307743,0.7886757527995102,0.9887542335818432,0.7903904145833751,0.6927899297587534,0.7664572787099911,0.6839071556394897,2.065316528438836,0.8665918804025146,1.490179663199169,0.7930944480875695,0.8242731074940125,0.8708204271440536,0.8834251572322894,0.6768692769212531,0.657156158046094,0.8469618341994503,0.7266155301892996,0.6772289208912766,0.5518954629317444,0.9235624635443077,0.6962158199298463,0.8372977894696393,1.249041016582074,0.6465852145222355,0.5711229414985731,0.7606604088433542,0.9512962980752805,1.2204199152852586,1.2343580004602954,1.2873754825759873,1.1052284484677606,1.0774675393755788,1.3243476261706302,1.1328437150947508,0.8959295067985356,1.2025160763411331,1.2851514505977815,0.9379461533750113,1.045967743374953,1.330919908075385,1.2047716649112683,0.9726551572965838,1.0376494409580912,0.8815534518946911,0.891596287351804,0.8708990603727123,0.8548507843130089,0.7709730547786648,0.666757300921942,0.665989775382599,0.6044525983768149,0.6304440333290066,0.540489616928586,0.5563846350242804,0.7621366448487225,0.7052967822572401,0.6447178081647309,0.7104277849276346,0.8850689803068714,0.8753830849425721,0.9065580567167196,1.1329797975817313,1.2896895567810138,1.0349762356939216,0.9218413746008356,0.7451995974727066,0.6866099766615261,0.997178474847642,0.9866966107200426,1.117792428751017,1.258385417251498,0.7927955238259485,0.6400598545885403,0.4450125295341229,0.43586613197585,0.4375857373112399,0.559291540049608,0.64886246922991,1.5488401515783239,0.5195756659056073,0.6803922658755672,0.9088734283191433,0.7632532923608413,0.8140636723415303,1.0412750535461501,2.074293856922876,3.3761761980649063,4.693359895026127,5.303627705121226],[1.1524523156772455,0.643650014099918,0.6348932234336092,0.4236833894547636,0.48425593622627333,0.5064126334268105,0.4258315787177511,0.5453497056896235,0.45259576167842464,0.3791738345037345,0.43223847902626283,0.6914446163971016,0.516412354706007,0.42930973235505976,0.6043775670957788,0.6529415439458904,0.5622064097422504,0.6531906791701201,0.8192138074078983,0.7233380507726942,0.8584929479445186,0.79339515110714,0.9834288060310374,1.003780165991648,0.7854795054563412,0.8077169889940279,0.6905368990696483,0.5813103873296239,0.6075987975500059,0.6639953251012456,0.7696071442633099,0.8566915350736369,1.0279136385186747,0.9617468082189135,0.856053478127174,0.735267651392564,0.7947091594739804,0.6704558601396595,0.6382608252382549,0.6755070169730636,0.6429891098234292,0.706150936747692,0.7134318335608405,0.7231565058300047,0.8352122926001884,1.191069215152748,1.1924686106287066,0.8120580016841297,1.3394710185920329,1.3742759174833332,0.9923284397891444,0.9180797715344167,0.9111834043276238,0.7437856572353627,1.2498322780621065,0.9700917240936202,0.7688380083400096,0.9646167004857085,1.13151964407997,0.8956463831296702,0.8389816350557862,0.894111488214244,0.9623857906421558,0.9952379981668938,0.8728552091151631,0.8098683500334487,0.9893327434030772,0.8299221774432626,1.011763195859706,0.855257684885038,1.0986237949049429,1.4414576139307467,1.1289074417986453,1.12318709219871,0.883130342595167,1.2803798049369626,0.8527404062536357,0.9342688825858334,0.8643237117215595,0.8691331871584828,0.8378237648088719,0.7794037208376554,1.4154652692274694,0.8785619058339279,0.7060860270537411,0.7070765270316471,0.7087615922509521,0.8773326275753573,0.7673331786895669,0.9101304683899171,0.8913126447597085,1.070248597542083,0.9732847724178393,0.9873403190256969,0.8829322999420472,0.9824441361350787,0.8568632830038577,0.997237550740718,0.9861846382657452,1.359796235084507,1.0087899829874467,1.1023502866809607,0.9393868039343032,0.936792286487883,0.8630916500990131,0.7139666434901234,0.8693093832534122,0.5863577348404355,0.5754101941793175,0.8374926838910279,0.5474905285432449,0.5232159794492269,0.4517625126835395,0.4697100911551964,0.4831712645292858,0.45128974565944835,0.514813853369655,0.5493794837360044,0.7683862877844849,0.6553198352922008,0.6156241002464213,0.5300057884501893,0.5380101309820041,0.420649250709541,0.38178067348084677,0.3954191815032338,0.4394684844892568,0.46893391163868947,0.4837932277860037,0.5715441170828091,0.4787822322849884,0.5269690221597871,0.5013910747418775,0.6836799485148273,0.5171190006336205,0.47974609076884406,0.5668619189384934,0.45892705123669175,0.5031214793298294,0.4718526952079143,0.6419081946681565,0.8069347853402041,0.6786811540927449,0.5376557999271993,0.5459107951441197,0.5520428873839739,0.49417540872614596,0.5724276193102803,0.5959990024178612,0.5927247476595231,0.8216464049683784,1.0369762722981035,1.4255582949722665,2.1144768547950092,1.7104025622312666,1.20974247167234,0.9111220298185942,0.9355359663656884,0.8284770299975547,0.8062241198352476,0.601308662827792,0.6065113496835022,0.48694965161424997,0.5332655693854372,0.5049190648758386,0.581983622962208,0.48380833887700614,0.5419170420218045,0.5366540760937062,0.5469687480623844,0.4701321658821377,0.45988820051476087,0.5055328499598959,0.586448705762186,0.6469488001194789,0.7671412321262895,0.7712448949977565,0.9728708186132655,0.7319239070753298,0.7799408413782808,0.8436756826584159,0.6723799662791407,0.6406160631444915,0.6078064594772999,0.5609544304523201,0.813489384798779,0.9152068322473914,0.9658181344955544,1.730389895898498,0.9278747669949016,1.064408722407655,0.775700393019665,0.5989481401074,0.6036416290116127,0.548985678460074,0.5558145565122689,0.5552025665228207,0.5066956365778242,0.5213763210978947,0.5901883090565347,0.5532296659806145,0.6668467271217967,0.5566142273645786,0.5387352423391513,0.6695068154179789,0.6818789206793221,0.7342917932868026,0.6681179639107298,0.8364418458120034,0.743796178386031,0.7465184284766507,0.8331100641626686,0.8931068128396225,0.9703937381818667,0.8882277589771903,0.8297201980249619,1.0465707705688099,0.8033912642331248,0.7439580269835409,0.8186400855489153,0.7501635942661559,2.162978838435076,0.9347489537415482,1.4806465946282255,0.8715742176142992,0.9516017461360899,1.0068492851030322,1.019721107607959,0.80273793665599,0.7634026524323548,0.9534370078755322,0.8241879310126251,0.7251530392038367,0.6236685024988992,0.9722699332573964,0.6782402154773232,0.8119310556069961,1.202153277426826,0.6549236466159419,0.686065927497668,0.8949526370389734,1.0617708317877208,1.3318308067619724,1.35244552681044,1.401547951953721,1.2127321086414737,1.1827419192104727,1.4123653945337953,1.2232915223122314,0.9936633971024497,1.269854297085642,1.3335887862432831,1.00846643158995,1.1072283493191724,1.3715659117979875,1.2464507212912221,1.0308384104439132,1.09908811011822,0.9493321497450709,0.9740221099112047,0.9704618636338646,0.9629613021051818,0.8588962341599571,0.7541100465541107,0.7692532647782533,0.6935413726893351,0.6944873666431627,0.6161153779466898,0.6435323024939328,0.761295672879368,0.7181325087663177,0.6767595969407122,0.7366498804545369,0.8551001870787963,0.855149186778784,0.8892739545264985,1.106720079975497,1.2844009206241442,0.984410455024378,0.8824428876849394,0.7493553317522823,0.7044232001304671,0.9582783565163103,0.9291905706804909,1.0426918388894992,1.1813820725997097,0.754968407402893,0.6344824065908199,0.5096805080813214,0.48700433141182586,0.5437564699721374,0.6846678389876764,0.7663185846861629,1.5728300314605324,0.6411008884886794,0.7882381721047964,1.0119495450752551,0.8621136927483588,0.9216382514258737,1.1085029985852444,2.1689536271989898,3.4847859817354285,4.886908758108542,5.719983880720223],[1.1588338613150764,0.6946572377206761,0.674374571634816,0.4802727547088419,0.5372592338429915,0.5418232181932408,0.45855455932437267,0.5336950010661742,0.45887701039053863,0.40374937334484917,0.44684520482495943,0.6651469500725805,0.5081019204086923,0.4735516815345957,0.6024251803095794,0.6094794139186713,0.5835401590631473,0.6557299932173795,0.7803799903792246,0.693808555502706,0.8017013258858592,0.7585860085873389,0.8708577470633119,0.9028197189283294,0.7292930978029203,0.7565199872813223,0.6712349985842759,0.5976242609839395,0.6030336251305297,0.6186807257941475,0.7019353284394837,0.735753588146981,0.8727243404270918,0.7968284089936483,0.7317544846172894,0.6717865089023283,0.7032306756992605,0.6431151986122138,0.6267751440053863,0.6534994965473269,0.6490809203810916,0.6972518221054934,0.6919010878058957,0.7068637130390468,0.7859001248257764,1.1268395420336663,1.0951504236276626,0.8053190628728936,1.3612544969122025,1.3916979070779392,0.9390050928651195,0.9041352985898603,0.8805033018052782,0.7173687805552168,1.2093283240303063,0.8973793800553832,0.7285116801275036,0.9116043617526497,1.0645206016804103,0.8412270258092337,0.7769569378010939,0.8079190579088781,0.855849755640283,0.9435246193477362,0.7965274915736451,0.7540356621280764,0.9353363446176459,0.7855669346878932,0.9483181637321494,0.8523373093771444,1.0811309263535935,1.4305349912848875,1.1448101605113075,1.0641293456992478,0.8529523930711187,1.223558033013195,0.7901876773304105,0.816391168949053,0.7598474321957593,0.7841375768186194,0.7465818999185477,0.7222749998713796,1.3147863137532914,0.7935180617395436,0.6755180364535854,0.6657392279799299,0.6701377610572017,0.7809164879205258,0.6938572001417805,0.7724265596005445,0.7883409579723245,0.9697947586131189,0.8573706411938703,0.8171562459407476,0.7648343238182289,0.8400335248887719,0.8015163275999118,0.8434935651161651,0.861155766303918,1.1944554347438459,0.8680860384201265,0.9798363468621976,0.8329046382600871,0.8483535913218818,0.7860131734207904,0.67729060147011,0.8193797169666538,0.5579208383590063,0.5573245325758258,0.8031462114555693,0.5359136071017857,0.5335871954560113,0.46567307506538097,0.5021233716462302,0.5194262505538538,0.5137078127764337,0.5560174378178032,0.604561548659877,0.8247409766779756,0.7168497256945618,0.6770411175692312,0.5884010396582585,0.5799735544907606,0.46392414199103893,0.43011878080221083,0.44296357480094706,0.46990435315002205,0.49687575067655004,0.49690453487437336,0.5833374785727814,0.5106754097105416,0.5419243872821089,0.5278838979287853,0.6745977166030871,0.5466628402982322,0.5157823299355603,0.6147074690345887,0.5069008725412124,0.5694364923449932,0.5359924333691808,0.6847274498441264,0.7437214522920745,0.6624570250277722,0.5772054095549167,0.5608987453185917,0.5687842962773513,0.5305092141028485,0.5689990664617931,0.5768518210790925,0.5840516800545584,0.7805275463570389,0.9896520211441446,1.3272469405779839,2.008008975736274,1.649417801710042,1.097323735257306,0.8302731851197925,0.8607122907976498,0.746974727890027,0.752473206570562,0.5879092097940187,0.5959063451145251,0.521372065592804,0.5459286732612773,0.5363918235983206,0.6211093826541906,0.5184823544578994,0.5667426643022841,0.5688441171840494,0.5756853274687026,0.5136029147606985,0.511895239163754,0.5319159959655689,0.5854865345950688,0.6157586331369768,0.7028933023675438,0.6988868745970992,0.8887947522058156,0.6694197483780902,0.7096237032963612,0.8315541303507114,0.6408602398056319,0.6226988673357939,0.596098032918562,0.5679808357068453,0.7975505061798163,0.9061958525491951,0.9271421929367947,1.704929550861427,0.9200628324716397,1.0441821036050523,0.7919071284573792,0.6335651951915244,0.651129994953159,0.5846210476152855,0.5725975819828952,0.5762419601893449,0.522762793376596,0.5398797373227561,0.603748517899754,0.5641243152501205,0.6549978659462219,0.564266250868771,0.5602962195738247,0.6592109550073778,0.683156294938252,0.7855096503489,0.6969728438573094,0.8354871455545333,0.7704720771274158,0.7729157503756571,0.8477434807801422,0.9135572271121731,0.9996999410529533,0.9024471532841308,0.8481828257186984,1.0440097337703431,0.8090017135193295,0.7513312935042707,0.8271620944910747,0.7463866148245817,2.122368529434843,0.9025672947392676,1.4853179615449277,0.8546908899995804,0.9053981881583952,0.9379505488316162,0.9718047515210633,0.7751445080053506,0.7541675946630442,0.9148382644892966,0.8178176523964461,0.7468827552349105,0.6362879402561777,0.9744256455989173,0.7113184022787647,0.8277198105553637,1.212978075803923,0.6799636529513857,0.6836000758943293,0.8615060379530057,1.0018090250391638,1.244508804114399,1.2418193307167322,1.287476582536622,1.1343410542994838,1.0823063095849963,1.2774886853098193,1.1239105402834437,0.9376348557915474,1.1837737935479058,1.2540999849674885,0.9698037106544919,1.0424967866716786,1.3050975084705978,1.22597912510491,0.9952769538681199,1.0477266861657244,0.9147627137430403,0.9228415297849215,0.9122739727285782,0.914083177935364,0.827315952174441,0.7585731595398683,0.7586367681059232,0.7027533402344595,0.7186536121762661,0.6399755672156827,0.6635626947970396,0.7601000103146548,0.7353125011167573,0.7009576804404932,0.7602531670174753,0.8675577038520427,0.8574402894703183,0.8805268248780718,1.0874457859705138,1.281221679759188,0.9569708333912682,0.8528354453407884,0.7560567022098804,0.7226064945269252,0.94072771058819,0.8891942017163992,0.9884386816311878,1.1324400861498227,0.7602661911930335,0.6430705326412505,0.5305501992409087,0.5130375158060274,0.583425145340545,0.6695357073322938,0.7319113827545132,1.5490999302974493,0.6395059860401349,0.7823163851331918,0.9786219955177594,0.8199856454733345,0.953679840274159,1.1044255303434878,2.170234392182574,3.4688137848573044,4.830939714434378,5.72607190209024],[1.030920734847841,0.6041162153369847,0.5808311547378262,0.4161955865872469,0.5260558384149421,0.4803443027207894,0.39352206807356926,0.42965598044690184,0.3705874196488809,0.3302940200295793,0.380467388470177,0.5818107581434225,0.42681789276863336,0.3877216964302439,0.5432747006658712,0.5469207192028768,0.49670025638769033,0.5742550982187818,0.7393970742500817,0.6430565535535127,0.7648109850717233,0.7310710532922549,0.890037845121238,0.9508055432701601,0.7572144926673217,0.7707319670247789,0.6321893143447321,0.5328154385357121,0.5218843600748053,0.548550787573021,0.6692522404644046,0.665724680488638,0.8464044552085004,0.8113901908135496,0.6851393977013056,0.6007459098622631,0.607960847053951,0.5640952099970774,0.5434508613935353,0.5614715290492338,0.6082462781968164,0.6426787454254408,0.6538978739234145,0.7144359279994195,0.8698102025017388,1.2673479707139124,1.344655358278058,0.8134999527656378,1.275062640758575,1.4186700665969665,0.9626576651116971,0.948430105151382,0.8092371936950902,0.6875469442076793,1.1389257259254597,0.8019733273155564,0.6632781055382355,0.8530413712120524,0.9626920990696604,0.8591607366944128,0.7621201253660699,0.7954674936196863,0.8562057299455194,0.939576811877031,0.7969656698288995,0.7361668092976842,0.9371025730019276,0.7435033529903652,0.9074846781673441,0.7878425557506813,0.9424355197411121,1.2481821672552535,1.0304115042546775,1.0588969129471262,0.8249602822021084,1.266532410837113,0.7717912348227371,0.8283513623746112,0.7400390214198874,0.7520321574384278,0.6690520872257953,0.633732051269234,1.1799095738329606,0.6428101203644767,0.6527212775468402,0.5487928039586999,0.5764806141408535,0.7131397418663904,0.6527126725950239,0.7811408166451402,0.796798160535984,1.0392398884884642,0.916043411913004,0.8843583159945141,0.7802074909075444,0.9239720198960557,0.8491708256355553,0.8157398545216941,0.7836612207957163,1.0920616249392125,0.775077471876157,0.8581597857853642,0.7088475366918217,0.6999906291555881,0.6307311810831263,0.515506649718597,0.6338255049554714,0.4837125003174828,0.5056170529089207,0.6642716156733082,0.39747104733383304,0.3965198156760086,0.38027052074594186,0.41549008535488496,0.4378320356854386,0.4333373054040838,0.5027387530496291,0.5224950631034518,0.7704167235504892,0.6256841445162462,0.578500640145233,0.5003568460661127,0.4989918177009443,0.40838290838935243,0.3911463312383418,0.40126418215335874,0.3968057760806385,0.4329972390676398,0.41546125943493034,0.4527449508019253,0.4682769552193926,0.4570978424677025,0.44089336183164,0.5249244038854642,0.4706005601460857,0.4746980378075348,0.5753576523409635,0.46871147957127113,0.4536683169445304,0.4553989579432194,0.6332441492051021,0.7771300593042985,0.6559400715876884,0.5666655032712019,0.5028393266916801,0.4882642025814211,0.4323951528047441,0.46526329424494717,0.4515451324338171,0.4878069249221449,0.6581683841813768,0.8892746091204647,1.2130570703492942,1.9737580278096087,1.5778918481853585,0.9605940592096358,0.7047220030569626,0.7164221054036454,0.6054694334540647,0.588185040776742,0.4617085714617758,0.4875242202300288,0.44704123065671025,0.4730722472299218,0.472990285165306,0.5798605410322798,0.5117945671988906,0.6236685603162215,0.6522902491600666,0.6452066765353874,0.5380294539089576,0.4683912522457782,0.46404148620482144,0.45242430991765786,0.4782347753796905,0.5667822880161597,0.5951209640707511,0.772798022849238,0.5586438438132806,0.5737277207488706,0.7193596150235856,0.47278048761111413,0.462272460002933,0.4432807817137774,0.43456792861558774,0.7219198392694757,0.8490907133979707,0.9472983313881936,1.7990652404293905,0.9534027472581081,1.1451826107132903,0.7543861043993076,0.6199898232735147,0.6325664374060819,0.5349232759000316,0.5509317926801014,0.6407943563919064,0.5390960823282629,0.5528970546181128,0.6537712674245437,0.4768934591766988,0.49411039312507654,0.47217914763131463,0.49318284396937206,0.5234029756511694,0.5518940562724506,0.7163364397655437,0.610475303111066,0.7046709200004574,0.6769136552145965,0.7055502540588535,0.767302922471558,0.833961763919343,0.900333469819046,0.8762106215574544,0.8263834050884952,0.9719887249157364,0.8183628370527484,0.7187821409918234,0.7759683137607977,0.6901756264491833,1.9774293105092433,0.8366795454644602,1.4263433675730295,0.7211638223349871,0.7147167179386854,0.7602589658419134,0.7760254498921185,0.596038755371183,0.6070618064688957,0.7472007243085893,0.710312211674176,0.7226952235650594,0.607201821558293,0.9797565242973951,0.8843506323800787,0.9414913360921143,1.4127672388925003,0.7398670485727834,0.5990098782293234,0.6992009815087786,0.8297795291421791,1.0617149245738646,1.0465820721300079,1.1212067185350185,0.9574425919253763,0.9140116624858529,1.1501968992974991,0.9688338978716509,0.7793811545709651,1.0585581297503717,1.1608450510905628,0.8567547171706404,0.9265412696655813,1.2071043520932845,1.1505122690999035,0.9194237880363887,0.9542440083208612,0.8105276384948493,0.7889340324333219,0.7518762155511914,0.7345334434711731,0.7000149323914285,0.634970314492803,0.6043777681037047,0.5943754601290705,0.664577280381173,0.5879978775415444,0.6082270999081999,0.8468285239298173,0.7886720069123546,0.7375118296569029,0.8115827983926357,0.9688736052298618,0.9636716940315277,0.9805581167526773,1.2523363671617762,1.3648676855767532,1.033813628028043,0.9422197351971955,0.7849510020522937,0.7209703365451086,1.0057938722226007,1.0230149769109673,1.1792614869512776,1.3598619769128055,0.9106729468324595,0.7358382302424925,0.5287527225265828,0.4863091369227401,0.48018921978898826,0.5103396983270866,0.5846418003972629,1.486956255805305,0.5060973381928319,0.6542923484315515,0.8502204121159607,0.7556718079117457,0.8226881515638553,0.9992270822908844,2.0181103059705405,3.2773179971540745,4.434851106548731,5.0220483733974],[0.9559075750613557,0.5538041612739774,0.544160443980379,0.3786804354456679,0.49158756502464634,0.4376380198427666,0.3549361604598413,0.3804247951235627,0.3432802672752372,0.3150182089865277,0.3664468408288612,0.5156786462498685,0.41099563703762193,0.3869159911405535,0.5386516309549609,0.5101636700835972,0.496244153542699,0.5694078850690735,0.7252884018803624,0.6395239984301836,0.7564878018982996,0.7337262629868371,0.8714081672457135,0.9571005781063648,0.7715361131449187,0.7762392767757272,0.6443030884011116,0.5380470517007288,0.509888107098261,0.5163954433826234,0.6216676960807458,0.5882390243353737,0.7600182075809326,0.718232473356783,0.6135367961217074,0.557410894411916,0.5442119817438106,0.5449913043260494,0.5400771207901972,0.5516063497205042,0.6288475518803085,0.6470542962998269,0.6621688114663458,0.749048506214052,0.9050962455351947,1.3193771228002193,1.4371888052125978,0.8427440428697952,1.26888219688472,1.4593275189394332,0.9904327455517214,1.0181475923896746,0.8326142952426644,0.7227799805404802,1.131429349815933,0.766223924411678,0.6513823227984604,0.8244893871209942,0.8934203982935783,0.82852570167072,0.7290383143134579,0.7479727027714751,0.7857838365134864,0.8987591326591968,0.7785203895959761,0.711326148980819,0.9187552870239719,0.7330649707324962,0.8722298519500218,0.797563113871634,0.918968650434354,1.171793758402041,1.0088031126513932,1.0401985690852833,0.7845289406640095,1.1982958882886532,0.7295609957438391,0.756793375857941,0.6751551243019198,0.691170089254523,0.5977874059603238,0.6123603770020991,1.06364511458098,0.5808746491974169,0.6690838203903857,0.5129606552480748,0.5516684616055895,0.6341119895464827,0.6036783038186773,0.7003796167039998,0.742081869436259,0.9976735433097885,0.8641221691108502,0.8065032449614786,0.7207388308457296,0.8776541194162291,0.8387764447351836,0.7300289863282288,0.6904274927444344,0.9696997286841021,0.671028845623919,0.7379069240998963,0.6213247288616243,0.5999592788095129,0.5388681045692262,0.4714057513280723,0.5530397898393073,0.5061744034221333,0.5297146406745066,0.6376907709433512,0.3613757570947951,0.365953517262573,0.3530371422096748,0.39045904655680264,0.4112136451520285,0.4332506913162751,0.5130851871864756,0.5393617807648479,0.790629947218586,0.644049812537687,0.5973778245560796,0.4956780125197043,0.49298527165115125,0.4029192967475778,0.3696546348157248,0.38297057640625837,0.3691500669476874,0.4024434357247903,0.4131189196216002,0.43675095044725876,0.4836784261942719,0.46853696075826684,0.44874254749047093,0.5122475883382952,0.4756984615942051,0.48422383302113486,0.5709842568367876,0.47950957967739855,0.448146787584794,0.47601564221417497,0.6526860127519166,0.8030346333222912,0.6793403188875404,0.5900708151314547,0.5201703512330828,0.490781233870211,0.43040213982157816,0.4330822211201599,0.40691039788068295,0.4568348334405935,0.60145113999101,0.8376997253515087,1.1083037107770435,1.8759685330462381,1.5434320190141022,0.8514671014528811,0.6223213709191829,0.6211381516638821,0.5227864697066901,0.5103253719184173,0.4258234797673687,0.46656876169899264,0.4557641261526846,0.48757821482625996,0.48674895634538196,0.5931180887490847,0.5452227560175533,0.6712334387674385,0.6874381965495986,0.6744401228319449,0.5629126575446487,0.492751369514939,0.4779802875593185,0.4251996172650906,0.4428999029252263,0.5040534099630748,0.5435492245421539,0.702096906820772,0.5151469974667304,0.5200399789504172,0.6992245459004499,0.43333784848917184,0.4361331437096377,0.4350857026889168,0.43550446184495645,0.712132402809913,0.8559601880655242,0.959687583249958,1.845560676697949,1.001075568587639,1.1962973555187488,0.7693122353049549,0.6591348428403079,0.6601324833387037,0.5496813462880077,0.5891164058151969,0.6803656362168619,0.5844472023989687,0.5851364073968848,0.7067142291143653,0.4840830288328989,0.4659197860609657,0.46703490098072015,0.47651899855778335,0.47562725916522214,0.4992843582692419,0.680167128632801,0.5667076748761757,0.6397888889056786,0.6430159786976125,0.6691555851336419,0.7271841480769359,0.8057290261626422,0.8780837074575234,0.865813793902075,0.7981078029960638,0.9547554440185837,0.7845271591448534,0.6882305121358233,0.7264981088730922,0.6502078179274594,1.8716563847677263,0.7980842277389366,1.3609754229017168,0.6725581443123888,0.6324765232785575,0.6883646834401791,0.7080332041543317,0.5431387010910309,0.5601052614691205,0.6923962052592435,0.7071185725778251,0.7353968382155733,0.6386118094257445,1.0318989419766849,0.9744851016732592,0.9844692113043223,1.4909020944491804,0.7689675608821023,0.6370622003237895,0.6752689472861237,0.7546584333303987,0.9641821825123912,0.9385754698429909,1.0261578742897877,0.8642026467035268,0.8090637085680424,1.031637477338363,0.8593577559690054,0.6903056321206356,0.9502195119347647,1.0653320303838023,0.7820978566183839,0.8306196700835287,1.104355261226395,1.0935405443908703,0.8549870338533049,0.8686937958717232,0.7376626647608356,0.7004116966248113,0.6578616185270507,0.6431153781444945,0.6301538505815759,0.5805565991104965,0.5450856266675806,0.5558811450963521,0.6414170486831513,0.5767694248031384,0.5972691567232948,0.8725528360353076,0.7876951040304239,0.7587769348401818,0.8347402773717539,0.9674783463973348,0.9632136366371941,0.9609723217167214,1.2613137048832022,1.3667644349394594,0.9948488740614562,0.8983119551347122,0.7489077679704191,0.6731104077535732,0.9443855168398125,0.9685813910222715,1.1416971312106505,1.3414933025921614,0.9104122387897081,0.7267948279993088,0.5403646573142494,0.48278037656913225,0.4363840454314849,0.44631346949377215,0.5277253080487051,1.4323196824343818,0.4765879137842115,0.6024313736858736,0.7877042622622573,0.7482079162289129,0.7857322164310211,0.94309889609817,1.9369406826751243,3.146632240668237,4.173006465611526,4.769165245961319],[0.8387200111448676,0.5362205854921552,0.5639701205047137,0.41419119039361774,0.5481587377416879,0.476747759851347,0.47267674030842793,0.5091642943304447,0.5002958461569897,0.534612559323223,0.6089989786241363,0.7045695831612246,0.6722791657088445,0.6615734280999471,0.830901366104366,0.7799475144858546,0.7540241463350961,0.7961298812885583,0.9204915087026471,0.8603230155369251,0.9633756440815401,0.957071540641622,1.0807409605274938,1.171103087973794,1.0016750128288112,0.9899772410372482,0.8640213696701419,0.7640984160345032,0.7643622188519075,0.7722676512616569,0.8662122852132174,0.8345711458325641,0.963524185878565,0.9286532622495964,0.8634057094533223,0.803807399291686,0.7732728926396983,0.7810520822350232,0.7803652182810532,0.8043662657809241,0.8862603601024125,0.8751071103598481,0.9132117179126222,0.995826976951201,1.161567633452468,1.5345482113866824,1.7355245319826802,1.0989623924995306,1.342156830145494,1.6100065598929345,1.193766075258974,1.319122993689073,1.0392535093723891,0.9938202772200961,1.2212128567639098,0.9759715109193764,0.9056673114079977,0.9950319766448498,1.0033891331970965,1.126952149652215,0.9684839610943056,0.9701433894353854,0.9897047039445649,1.1292648156490028,1.0038354254359556,0.9585142143766956,1.093462494061143,0.9375280354840412,1.0049230759759844,0.9940047854971931,1.0056411247106554,1.2030935453360716,1.116802497826759,1.1723670614778687,0.9833073731522741,1.3079546229844716,0.9442204548059351,0.9711787619747854,0.8942509145843058,0.9112778179322963,0.8370479588941938,0.8185281880303193,1.1302484375318955,0.7948058864109535,0.9184527968721922,0.752046867777385,0.771040589617995,0.8465205085105814,0.8218604181528374,0.9227528379741055,0.9690445461463335,1.222804461645088,1.1073091688776322,1.0422079660453945,0.9549572827388702,1.100488129377714,1.0900201621473287,0.9407934140984751,0.8768367824570578,1.0638524081546745,0.8399505273454891,0.8502465598857742,0.8072569572611087,0.7110601884219482,0.6745428861980752,0.6153126724065152,0.6529967343626197,0.7229521715435563,0.726955304252929,0.7613702785153926,0.5237628641598271,0.5446837026968604,0.5383889686512657,0.5444905881438763,0.6043171328595518,0.618663899079328,0.7134900427660816,0.7574138690285351,1.0380890645173895,0.8367622934490945,0.7922437549936655,0.690361561579315,0.672192072371476,0.5594960290952417,0.4907274443970317,0.49953835023487053,0.489496532010576,0.5338683823427088,0.6061772303967103,0.6505803081464494,0.698957760104959,0.6849845321588611,0.6920664209201353,0.7108880934126203,0.7143817851210755,0.7073491078417506,0.7553406570473685,0.7105303835691914,0.657406518303412,0.7103183730667598,0.848990533158958,1.0210291349022689,0.8793311328969202,0.8085594847804445,0.7651409453138751,0.7371158046169507,0.6608589623480344,0.6416932492615736,0.6066938059802792,0.6210335160725454,0.7195098090269652,0.9301470493339218,1.1414576765094016,1.8642529412352464,1.5702771425114488,0.9527961792071277,0.7842940827185195,0.7433590932957422,0.7044207776891593,0.6536508611651206,0.6449337192624988,0.704490627017426,0.6855397712271754,0.733629917499378,0.7121810053306982,0.8064035516100203,0.8107368682016646,0.9475757846095355,0.928295549985968,0.9153040469729464,0.8141154031099169,0.7472291716146531,0.7147170167845512,0.6574724658782497,0.6753880651547517,0.7035042075909703,0.7478127481680702,0.8448543887522104,0.7307049661914958,0.7151758133161985,0.8320167193071971,0.6476517857761864,0.6776393421645702,0.6824417054465277,0.6983020634332024,0.8603251989642897,0.9718444981929403,1.1415777979206743,1.9838159748673565,1.2374537993038743,1.4879418813702092,0.9782446449513458,0.9463689759338303,0.9316318177758259,0.8132365284935349,0.8501354607701983,0.9017859217565073,0.821314849847291,0.7898294223486201,0.9036885243158279,0.6468674514775284,0.5664432709646398,0.5965494590469695,0.5748549250734794,0.5253885349620069,0.5246757103712641,0.6782965531960464,0.58720339651432,0.6112750718236079,0.6391553691609847,0.6691993926392499,0.7210313240557146,0.802626110269075,0.8851771960684359,0.8969793288926498,0.8021884364008436,0.9453439151401871,0.7972908761806413,0.704071875133349,0.7116817105975684,0.6506742463221671,1.7229724952751884,0.7832585407620889,1.3345433691917583,0.698371199083836,0.6290830609148619,0.7042077025762064,0.7629759244530019,0.6121060026100672,0.6228002549607391,0.7629390853484728,0.8537279246627923,0.868906340083431,0.836639520533116,1.255684526754784,1.2377895296013814,1.1610562897559182,1.7041070138391827,0.9307648695713118,0.8240204931534334,0.7680152694303956,0.7590989960544189,0.9260782713481439,0.8919424858454736,0.9900915086616054,0.8290045717456146,0.7543694858752351,0.9349989728733608,0.7867275764645769,0.6465665935800997,0.8710870590700623,1.0027915626216874,0.7441890139595045,0.7703253017796469,1.046950305438138,1.0738307358612793,0.8212325206468641,0.8164148679056102,0.6903575849987202,0.6443403746171645,0.6130342118866396,0.5993272503613476,0.6084275122739948,0.5749740364265865,0.5641947817909772,0.5946566868559396,0.6759076184230446,0.6545180212321059,0.6966017724030212,0.9688882052862334,0.8574102300249354,0.8780956638390243,0.948617741730834,1.0742824971939229,1.0475320850752088,0.9957400418919929,1.3557304358259017,1.4261824075549119,1.0027651982659398,0.8869049134965683,0.7474941450501426,0.6619354176970478,0.8940510219639243,0.9356043335434685,1.1431807655796997,1.3995212990143995,1.0125854025721697,0.8164247103896297,0.7137801316559494,0.6359551044114343,0.4956168648683409,0.5033968797922559,0.5598329552430775,1.3936552873245456,0.5407933926970048,0.6078419359913716,0.7711946631775386,0.811896883409686,0.769894013660649,0.8901139537081613,1.813543631299947,2.9965476531246247,3.899098407107566,4.501269866711149],[0.8496160002376663,0.5469581941323848,0.5069703193906864,0.3516254810900982,0.4878939640722945,0.40878904062230254,0.3160786272052573,0.36662839087951704,0.34959156455791807,0.32771317573119263,0.37743563013916914,0.5253312622758061,0.40745869442042315,0.4041734434260929,0.5372562678481204,0.5006514892364787,0.4966913335463043,0.5684051680835841,0.7488038026347409,0.6574670291461422,0.7989016088883467,0.7861361123944696,0.946880990622123,1.0436869500721573,0.8538867554681862,0.8404759644212413,0.672720902195321,0.5443137024472207,0.5028210571226065,0.4897656807733776,0.6270249524910304,0.5773658095400565,0.7451244297051711,0.724683344239706,0.6017492063147857,0.5533846529642813,0.5213225824922223,0.5335867066800245,0.5409709615027172,0.5568992361938875,0.6749804858137497,0.6752191669690163,0.706569042375731,0.8225884610518465,1.0179003114233556,1.427158518515855,1.607425349601939,0.9413903460949511,1.2612869822373047,1.5448301533098157,1.0483312575824166,1.137683683949443,0.8786568208464353,0.7928066688152475,1.1369578168636962,0.7804962183560478,0.7024832861082987,0.8335003272826272,0.8798988175814263,0.9333424497588407,0.7888343343149732,0.7966042764719575,0.8141276022032685,0.9616842322041795,0.838346251017018,0.747753144958175,0.9462869762756325,0.7355998553881479,0.87560494232998,0.8103948774247942,0.8977712910725459,1.1352302280706421,1.006851085985239,1.0612654430891935,0.8053017894874109,1.2253662572817816,0.739157634170383,0.7654790406989246,0.6768152316685787,0.7010286335057854,0.5802686847870526,0.6000252971171177,1.0002575525286739,0.553681894949115,0.6903330720133858,0.49466757964451374,0.5418601452819455,0.6099464264495754,0.605983945925461,0.7021439393106089,0.7478311138565131,1.0316871588139114,0.889136400088802,0.820890189990528,0.7204718089223476,0.883006130191143,0.8285924287538344,0.7193735951313972,0.6714117915716787,0.9575143212406587,0.6423817033337826,0.710817060631949,0.5836862023163853,0.5762138768678213,0.4937531657741997,0.452703785507159,0.5280922834407987,0.5490538400183484,0.5732211986326847,0.6386295666414443,0.35861463897125284,0.34039586310737924,0.3339280144960607,0.3607139664056582,0.39745706804066483,0.42216615982893463,0.5181703111790787,0.5749102681880744,0.842391036803658,0.6455267497257459,0.6058221688957285,0.504375593646636,0.5086613676865739,0.3984786208317495,0.35002039107509486,0.3523024683612036,0.3589193079175857,0.3854909670579148,0.4107658064340778,0.42272398014641177,0.5314370120578591,0.5024645572775759,0.4890337417122661,0.4946688583146173,0.5059980116175554,0.5161713460653392,0.6244096572641766,0.5305534269065822,0.4665596699626674,0.4993298095136037,0.7023429448156374,0.8403507596440825,0.6999832986806651,0.616438817965058,0.5465300577247814,0.48260450894514784,0.4278619599630945,0.40717394159823656,0.372828546305766,0.44260975954813686,0.5790924830225573,0.8246529303102806,1.1408154031621867,1.919813034583696,1.5328445484786126,0.8390453575055947,0.5991200193332263,0.5991546242978496,0.48700932821155485,0.46942030907873783,0.41633764386850824,0.44256197516922413,0.46400095356178545,0.49320967511080716,0.4921515592132044,0.6287813204356458,0.6112077328750513,0.7842364374029691,0.8068879050266305,0.774183030591885,0.642264892518232,0.538050488652835,0.5008429804248329,0.41284062467602195,0.40917547417807326,0.4488592182445454,0.5060198998605882,0.6600833713007599,0.46895255553585,0.46963772628216977,0.6778431562437611,0.40785014219451254,0.4278769496930764,0.4339592876836391,0.4408701223708794,0.6814847061033845,0.8258697636009653,0.9627538100129733,1.8842729385212647,1.0672954827134398,1.3106971748091756,0.7909790928721945,0.7391617727957347,0.739235331658938,0.6190963609978373,0.7006776391212632,0.7647432885840143,0.6465668395482865,0.6491150380680198,0.7710153464607731,0.5035893044981035,0.4585380862283308,0.4810220030917647,0.4878761592712657,0.4614687391456563,0.4915885313817837,0.657914556637831,0.5607426020874382,0.669325610916935,0.6418168330035865,0.6717682520491984,0.7619745649628257,0.850835932122588,0.8585678149857237,0.8941340282225008,0.8060586867571814,0.9964871690900338,0.8306197498662052,0.7077963268178847,0.7547803176963964,0.6862255664288942,1.7565713946962518,0.8358099596821059,1.3938329480938398,0.6650229055166607,0.5883380178124274,0.6253043365818998,0.6379910114607853,0.5291847075680299,0.5387655912855721,0.6851136388976757,0.732793148068974,0.7936278687895308,0.7132326489234739,1.0898366389766105,1.1269086267414092,1.1215584676252983,1.6307434964934195,0.8648818565201666,0.6607304388929429,0.6363410167740805,0.7071656961981655,0.9204519342597685,0.9228100792416084,0.9963954170139495,0.826359661120482,0.8147039611917117,1.0588576930962195,0.8910718001630834,0.718291299757683,1.022652239919408,1.1673324918329882,0.8610725058248881,0.9152013710082493,1.2246210115778877,1.193141880954399,0.9206192889227118,0.9461911833429172,0.7870383429395166,0.7394883731109599,0.6732443073150441,0.6333971066450127,0.6504956251876619,0.5768967419408266,0.5225386192802484,0.5605947462482209,0.6403762777495215,0.5872715250404027,0.6289252789614538,0.9359350959709001,0.8347442477940572,0.8426587790083536,0.9099206940057539,1.0972922422625955,1.0803723183721228,1.0531593116105646,1.371333152271989,1.4447447069923884,1.0796338216783268,0.9598045595832893,0.7707614916847816,0.6751092169922163,0.9791263937366752,1.0688412980542594,1.2823657206094965,1.4879727417983006,1.016369912398806,0.787538534005851,0.5989110119488581,0.5120178667636885,0.4217198603197183,0.44508087258366574,0.5317698667971084,1.486286662668014,0.491286380670838,0.6158669308900168,0.7677874464638367,0.7923308746887039,0.7335607147352565,0.8955850974631446,1.7445385549666512,2.9453667202635243,3.8099080702820127,4.074262990063995],[0.7444869814941469,0.5928767492077217,0.6066237264808049,0.5075273514392686,0.651606730121664,0.5288697868144018,0.4624136228859478,0.44946932063150463,0.4646721000201839,0.46266770057040946,0.4776286832896407,0.5323215172361337,0.5106834920955897,0.5207824768688403,0.6283988513033238,0.5733909711999473,0.6068424663188584,0.6418573724216469,0.8030770826258886,0.7403398626453173,0.8672964010767066,0.8876734724979609,1.0087659912690508,1.128579731571712,0.98887980341174,0.9485010932377098,0.7945165453448492,0.6701881911644298,0.6068858553220707,0.5707084164932551,0.6609981316485294,0.6009068734086592,0.7282056471587565,0.7064850713952706,0.6299502285841866,0.6227298597817499,0.5770755829861294,0.6438468152644203,0.6876685504808105,0.7267188386557599,0.816980955138219,0.786748497564884,0.8383718706403983,0.9693427068957989,1.1504003494014807,1.5385849807724599,1.78596927454818,1.1101356778968325,1.3336853713243864,1.7234463631556594,1.24291735784366,1.4041065579061143,1.058558473216218,0.9921624038773226,1.223623956563581,0.8910800140919418,0.8614598333212999,0.8962838370052028,0.8798671813916741,1.1115887394122623,0.8985628936869137,0.8596280834626951,0.8408276457001146,1.0093797567245604,0.9095229695194561,0.826169755191302,0.9867173222460606,0.7668099893794127,0.8853331807646904,0.8821105493260831,0.8946972575988269,1.118365809321028,0.9895444108749639,1.060384841766835,0.8317722124258083,1.233824965518825,0.7656168851509171,0.7691762116490084,0.6912884357643966,0.7516354946234162,0.6362789450839581,0.7330212887500699,0.9477168122586652,0.7064647585178219,0.8762442232837093,0.6385226015346077,0.6407742311198803,0.6486264595058556,0.6514800761955611,0.6960347785056151,0.7545170710927604,1.004322114243125,0.8904491886130922,0.8040962268379462,0.722616727907505,0.8944548910159642,0.8597321362703066,0.6934490474317073,0.6456332945615201,0.8741759509115672,0.6221848844262017,0.6646985925863412,0.6323901663724186,0.5742857150289357,0.5787331997418084,0.587945497257712,0.6609883065950443,0.825094130384921,0.8270320349292649,0.765127174097104,0.554219417189901,0.5214338649901966,0.48939198488159313,0.525221607631952,0.5102339112842309,0.5717233543690148,0.6509033428499256,0.7221230549458912,0.9384517760705003,0.7308564140396714,0.7132002253721318,0.6240923006825072,0.648381236247067,0.5577373896992212,0.5047815879350386,0.5533528371408835,0.5463209100378869,0.5840239669674835,0.6664104277198737,0.6741011246333173,0.8213381200282693,0.7947662470324262,0.7799719609095932,0.7098823044688137,0.7700310632201754,0.7558810218519868,0.8866673318905516,0.801641465339296,0.7092509137396821,0.7038372414742272,0.8326030855496527,0.9741255132093746,0.8300644411689739,0.7798935521422435,0.7334005104376176,0.6442162932700453,0.592055211148801,0.5460805818227908,0.5002043882255904,0.5305079202259352,0.6202768513976575,0.7696186818752987,1.0095957847026864,1.7557290380349149,1.4666771462013155,0.7550917443986239,0.5876488561732974,0.5869156192113284,0.530421178134647,0.5413607306293283,0.6061376251434727,0.598788352043337,0.6647056297196908,0.6817860165230164,0.7153335393860165,0.8378683504944505,0.8770400466368636,1.043877085205067,1.072773030717749,1.0198146743262635,0.896184477716656,0.774152301087143,0.7354828576320429,0.6108515247104719,0.5567016899415623,0.5399479972556113,0.5749465509663001,0.6550973959428216,0.5993417502277171,0.5581619931098007,0.7607627108972689,0.5721656680524996,0.6591926024642236,0.6919958830344665,0.7006392653497175,0.8462601625659399,0.955610880319507,1.0807319832397235,1.983557226018112,1.241775959510329,1.5386980869309275,0.96579358316728,1.0081114640919244,1.0094341518149006,0.9226467721938241,1.0363174369792005,1.0515707855854057,0.95742098744663,0.9328458834410757,1.0610929547621835,0.7648098799768992,0.6445129879883222,0.717192379414848,0.6841896017667576,0.5868493824433665,0.5790077570568236,0.7351472436054393,0.6397477852426918,0.659636300298679,0.6769360323059755,0.7120413734172846,0.7857221096058483,0.8763793724802871,0.893318272879435,0.948357968815576,0.8414475245769245,1.0128474421183595,0.8746402193498978,0.7648455053517774,0.7886949090216755,0.7729912668748032,1.660711887806196,0.8907953890100714,1.3153312207002246,0.729094126733734,0.63552705575974,0.7208903509176695,0.7801461865746229,0.7045403770496491,0.7055111600757208,0.8320682697820334,0.9681574761371782,1.0204180152402882,1.0064816424012646,1.4079631687343404,1.4926511661904687,1.424167859641219,1.9706476473930403,1.1508268401060922,0.9544651087549545,0.8149811143138819,0.7204244059604396,0.869228556980147,0.8487373224291092,0.9420747728230213,0.7799469240026706,0.760551365857318,0.910228914720523,0.8215066967275391,0.6856294356193644,0.9137254807377687,1.077635217453713,0.8176693863187373,0.8312715489517142,1.120483787967892,1.1725769866713813,0.8918135860194,0.8924000183822197,0.7484107776265423,0.6867166523049903,0.633751804845594,0.603768728088214,0.6457157698203293,0.6059333996064064,0.6068135823889833,0.6748175778534328,0.743953379817216,0.7469521942323745,0.8301481053128199,1.1011646338432437,0.9962995220253525,1.069048330934129,1.119637825260207,1.2835573919181986,1.2422839066964748,1.1847485198295744,1.542613378718443,1.5382797826462844,1.146632517412426,0.998836558603284,0.8131686251839818,0.7162322322635662,0.9775734455189128,1.1275670237273012,1.3810450601295912,1.6397746078849846,1.2224524693933418,0.9791843427710566,0.8751286463082711,0.7462346856800864,0.5995367858374498,0.5764505994688426,0.5925524385541641,1.4680036451768785,0.6016906992972068,0.6493162342040357,0.7266213425802263,0.8451758738169123,0.7213679779969074,0.9033921009440107,1.594733419622193,2.629032787688642,3.2333109576168,3.4408461367743444],[0.7872890067561129,0.5499644515719863,0.533993979264748,0.37206180272639133,0.5568625932310223,0.4080200059503255,0.3114077599566655,0.37302299313948806,0.40129488907280025,0.39346861424133,0.4537996739949226,0.5333855373156391,0.44364502404516054,0.4541172595947216,0.5459422302513476,0.49845761739295885,0.5173178808920038,0.592343974980668,0.740777336821769,0.672104162085073,0.8071423912032047,0.8147063078830171,0.9475487195890859,1.063769845822719,0.9139969922686912,0.880993534168105,0.717596183958287,0.5804618207975027,0.5235432939226174,0.4844126404191336,0.6288568586352141,0.540827864998833,0.7162023364857945,0.683864543679836,0.5756291965711665,0.5495428427743279,0.4800940143457356,0.5507596831860516,0.578713061101651,0.60741429674896,0.7334399938367058,0.7109416242880772,0.7480191512138766,0.883043234196723,1.091241270590935,1.4981948185166662,1.710309245440398,1.011186857843895,1.2632663028080775,1.6271881324687003,1.127453314062271,1.2371170186185165,0.9441462947442988,0.8856317930327982,1.1876110266692703,0.8042705383191231,0.7652617743940474,0.8395420421504269,0.8716413210188009,0.9683503762052496,0.8133010925164106,0.8033028279030248,0.8016885319847366,0.9552107046440237,0.8413114724293012,0.7511058997026833,0.939401143853355,0.7294500534469659,0.885395492076575,0.8458987054353656,0.9024086391046584,1.1510827523819296,1.0299658154271885,1.0681861778090647,0.8061302624167638,1.2052194227603248,0.7204266617524432,0.7365757742147647,0.6313119792970482,0.6854231656920658,0.5548588478991613,0.6544022809425274,0.8765958887735357,0.57074570130519,0.7390035558971877,0.5203121005440874,0.5594000598720715,0.569649740873164,0.5854348826487099,0.6681680964437575,0.7303837939216771,1.0135589163531682,0.8901416842763766,0.7973211084058347,0.7066105743763907,0.8614500042442903,0.8147844503266308,0.6938370344239917,0.6573402977194152,0.9138177616122113,0.6042719714505814,0.6989797193823153,0.5455237120635102,0.5164794879945419,0.4939008611741734,0.47304027231199025,0.5745128074581716,0.676804157807754,0.7017568312916098,0.6778056111524569,0.4379539534642126,0.3828597102740307,0.3512571889300172,0.40263629354851643,0.39863625833823807,0.48174027832783495,0.5688733722357067,0.6191094170035132,0.858541570814064,0.6718676892892357,0.6471187189663835,0.5520999805096403,0.5389860019451095,0.44031839641595066,0.39691663729089266,0.4251720573141158,0.4043303066145635,0.4514180333462664,0.49328751425245765,0.4896494284761177,0.6547711381242484,0.6305078631453258,0.6185144987831099,0.5342673961365663,0.6207558445347177,0.6162778632024891,0.7633900627527852,0.6440764367293933,0.524078926737297,0.5525089825926253,0.711992448422047,0.8373234455180505,0.7332016979685066,0.6744315782996483,0.6162729149033265,0.529546596579334,0.4773347434148373,0.44107136627167803,0.39860649726395253,0.44035147494471616,0.5198701598166899,0.737285093518314,1.0863209179919482,1.8614209278634959,1.4742155278765459,0.7652882474017698,0.5615733630515632,0.521762627620485,0.45596295214601024,0.438454634940528,0.4402354592627894,0.4785792549187401,0.5426421215474113,0.568920044975681,0.5736669817781274,0.7100744573786257,0.7309805376988282,0.9152065562266495,0.9783568292741482,0.9114288244187136,0.75594797880263,0.6278964392439033,0.5852237001795629,0.472631152616205,0.43287321882224655,0.44311465061453226,0.4981285347029629,0.6145622582260871,0.47970792834876114,0.47458644263732186,0.6948124109078624,0.42200137038389784,0.48675650371177165,0.5414335521376513,0.5536330390334754,0.7418991084625488,0.8892363087464673,1.0166899307344917,1.9446153650767395,1.1488270105679768,1.4019336107539118,0.8675384921235927,0.8763097367280317,0.8611332376521044,0.7509633564029045,0.8575479321484869,0.8907953205577724,0.7739424491767669,0.7718214711094185,0.9052426646620813,0.5990226116123163,0.5173791268870065,0.5792538521069759,0.5748748417350129,0.50950364668108,0.5247942989880086,0.6849220772905715,0.584473896748831,0.6937081961884581,0.6533409503250206,0.6821905663448298,0.7986431381016422,0.9140379230210659,0.8579014832724341,0.9290230026472577,0.8184851699979734,1.0541141394280658,0.8833737580007751,0.7382948868853265,0.7822074035270101,0.7445296413960738,1.6609652273367044,0.8892865849707158,1.4099944217082152,0.7069134125155593,0.6133136123624412,0.6438248339196206,0.6484272190050474,0.5948281886822587,0.5888568973190689,0.7145226951931349,0.8092726360183009,0.9095657353191657,0.8447789100509595,1.1923703954979228,1.3173160041375176,1.2994485632973265,1.820005612677391,1.0161172459251981,0.7670095959224104,0.6714135469289444,0.6758149739027013,0.8646425635886554,0.9232470286642537,0.9641886853683159,0.7966201063319264,0.8140458645507531,1.038896346440689,0.9104598277684194,0.7459457181691008,1.0571384084217006,1.2256033130835668,0.911472720657917,0.9666727448651283,1.301436820776645,1.2985962483232647,0.9900042853672099,1.0191207845351689,0.8381444379888306,0.7781252101859379,0.6796090030171473,0.6293893682910101,0.6767715866669805,0.5923333652593377,0.5534299334512169,0.6137131944215909,0.6917996283624103,0.6566619669593332,0.7314699684469531,1.0664850956248866,0.9463439239750879,0.9863753261991417,1.0437386872735943,1.254129489208929,1.2276851180997803,1.2007340846483254,1.5145867148967007,1.545017306610317,1.216157193277064,1.0687757822905186,0.8324580553490953,0.7005044002207389,1.0650180632163033,1.2268179391328566,1.4673610669031738,1.6705081538218045,1.171407847508507,0.9148644742388737,0.7378250653473337,0.6172445468489858,0.5046123377969325,0.48112349843688046,0.5854469142774297,1.5446956351442642,0.5530905599211131,0.6414288217628407,0.7825048947851366,0.8540914295483347,0.6668997909928236,0.8726110304639508,1.5843484498722658,2.5993890834054705,3.281671188826405,3.1897887387096957],[0.6148578330411218,0.489636908216045,0.5742351841203333,0.422691000001891,0.6134425775139295,0.42051712347454867,0.34449955787279773,0.3639203414094215,0.4107528312964604,0.4011650124106904,0.42605889695288496,0.48091417071634057,0.44323883734162384,0.4651838760259545,0.5530370968855314,0.4921318940196208,0.5370770861676609,0.5636832198251833,0.6953165482911274,0.6625006218522035,0.7686185817826965,0.8088678186394003,0.9159990585267811,1.0443040965595953,0.94587617798206,0.8692546708902814,0.7410566734055978,0.613971195708648,0.5337795746554548,0.4908672738883017,0.5860044753931999,0.5100702636002528,0.6471495900454307,0.6176629439998071,0.5417791968094983,0.5395108369524116,0.5063915316151272,0.5574543385740827,0.6359175573126017,0.6743721782837024,0.7719733146557214,0.7227928851898924,0.7742915564923294,0.9167262053960012,1.111712444778478,1.5100074146034106,1.7694167599244885,1.0640599048149435,1.2793557480111728,1.735263174758563,1.247153086519967,1.4298071459520887,1.0732701262338107,1.0325819280120998,1.311877093188581,0.8464265146831069,0.8135759909409261,0.8561611543151679,0.8261986480688299,1.0561268662950851,0.810059327442003,0.7682538607257097,0.7409923228605881,0.9172953590371711,0.8158466872704098,0.7209848574448839,0.9018467096782745,0.6722859010365078,0.8017142229049423,0.8010644176533016,0.8689401683799702,1.0862221442951803,0.9471445079409516,0.9867837495439369,0.7288805921090331,1.1283132922142258,0.6388845155470712,0.6486518668198626,0.5809324205590463,0.6385817252157213,0.5631514365581599,0.7568269290529183,0.8124759744409963,0.6606405282154533,0.8429525393394515,0.592118083606639,0.5847340845322817,0.5925490726058509,0.5595699953442019,0.6066084013787578,0.6535908519354083,0.9545525274471968,0.8179047896203714,0.7222856537342832,0.6521211076347796,0.8062416033694677,0.7804501039111184,0.6111904082255335,0.573341167078216,0.7964777236774745,0.5402532262649156,0.6422902172996398,0.5341744984710429,0.5076212592753124,0.5774847325456529,0.5779580344351247,0.6656704405849293,0.8556306454751393,0.8489045572194256,0.7142909514906844,0.5441095853989165,0.45946658091997344,0.3834480950280105,0.4508720975013068,0.4388167055141148,0.5257022177998922,0.6112371885659483,0.6493392105713488,0.8933868954058916,0.6557787400954997,0.6535361004703562,0.5505838051117624,0.5501181118870122,0.47543549987340006,0.4346797210097794,0.4914951742664457,0.47426930526017486,0.5422667200376496,0.6158164575166893,0.6187560856131211,0.8264694261837116,0.806062886199108,0.7972956042792569,0.690669609388379,0.77601786660032,0.7360941272181507,0.8807077378160852,0.7852493347413636,0.6346068749130284,0.6249070169229674,0.7422336523313101,0.8349281581648103,0.7247178788979193,0.697383363744069,0.7071138060468767,0.5684850618593085,0.5298602972695334,0.49229716603913104,0.43403330385325795,0.45152688920517653,0.506856842060481,0.7016051932744023,1.0186557306747364,1.749720001502835,1.3820046906564931,0.6879653697769776,0.5069987400223908,0.4947895985785158,0.47160275115429223,0.4857946319885055,0.5276310456195703,0.5394960766003318,0.5965531063343945,0.6308256495878056,0.6294875255032274,0.7766890607152195,0.8429492601257773,1.0307265035203361,1.0957920414404854,1.0067794624783497,0.8734367069572919,0.7245130442085203,0.6813949431386556,0.5612530927337275,0.5027846136203616,0.49200833850911935,0.53719940251355,0.6012193534647723,0.5287278265050164,0.50695706459758,0.6984552487618225,0.5109455774453568,0.6268692536140855,0.7126763162463233,0.7108261886043223,0.8203551168537424,0.9289651413526231,1.0898222827066064,2.000476896085543,1.2253109503016233,1.5257247686921114,0.9601102162230106,1.001606732882078,0.9942171551266814,0.927028515084424,1.0898386176023078,1.0845169576920697,0.970311788619963,0.9658728799163814,1.0645390122093517,0.7509724249202082,0.6146339987331819,0.7010363455984561,0.6899051089128968,0.5699478525973086,0.5562289310128956,0.7025652002345416,0.6142004660160607,0.6555604997576184,0.6635235470664199,0.6969843130615747,0.8134209619743744,0.9400163210584329,0.9118024642511148,0.9959179616248903,0.8275764256636344,1.0790564094413204,0.8846095099241245,0.7432887225150545,0.7706413470370315,0.780175331378072,1.5406631984376005,0.9190547610478371,1.3425169102997139,0.7282517291618359,0.6406844479514875,0.6941394636627448,0.7603581263826854,0.7129267104196855,0.7194976122620842,0.8384257266467856,0.9847419091433752,1.0588953182602203,1.0408105798678315,1.4129192959652672,1.5494645315482043,1.4598891119632278,2.0193981007460824,1.1817224325360245,0.9513252357746713,0.815261371931679,0.6966907368785676,0.8250183859757069,0.8239500138617855,0.8685220796969564,0.7420635490246482,0.7319805361573166,0.8932324382146797,0.8127275163974187,0.6760148935269799,0.9473984448724069,1.1303501295880216,0.8440753497235849,0.8635310860791656,1.190027298097981,1.265653087681328,0.9442058108113958,0.9484428814620854,0.7759849018686514,0.689205368291972,0.6064620116711585,0.5772082114481826,0.6335627676193886,0.5864489632283667,0.5962251593645952,0.6722422627227148,0.7311689993159295,0.7549439099047781,0.8625845671100391,1.1567904729330791,1.0181787972444059,1.12117232185716,1.1784917772250922,1.3390826034999554,1.3068681302627125,1.2467729849895206,1.6101479625771848,1.5785245361418458,1.1969956906282475,1.0361268977832452,0.8113524951347116,0.667019228865447,0.9834498700755916,1.2220373139135146,1.506737302298406,1.7519420970005772,1.2754167799714993,0.9982488956601373,0.9019293044669623,0.7261361984104321,0.5751873214379319,0.5154576157517751,0.5595294867633761,1.4135618622569681,0.5839529949731692,0.6446137735031073,0.7260516862785547,0.8371053809426703,0.6544259479994982,0.8579762958889975,1.4459507528450757,2.2473850408927034,2.6893739982385974,2.7099423719321476],[0.5396245869749691,0.4886779631014964,0.6625966013225071,0.506301660284687,0.7530120274002755,0.4525127979816407,0.3696996364493383,0.3821471799690324,0.4157751604195159,0.41520268701681906,0.42057155645865996,0.46315030702875193,0.4430894077828714,0.47205684154477295,0.5366842646336084,0.48741732180176156,0.5504000479384269,0.5897563091734679,0.7351974816382038,0.7015131180021017,0.7820580105691778,0.812245835910084,0.9336738974500213,1.0692319384460163,1.0099276518992772,0.9105149127555171,0.7915797866712359,0.6657244867270613,0.5726322821112905,0.5164388113699291,0.5756660234746728,0.5016249512481892,0.5992283799813607,0.5951511792994437,0.5428235984175784,0.5491833163750376,0.5213862388262043,0.6007941531719506,0.6837531577750294,0.7180176580005834,0.8159030230374761,0.752287307732477,0.8066232341871675,0.9571565167141329,1.1376468560591437,1.553415146805749,1.834137959113394,1.1100623434958654,1.3257865354892602,1.828495070535202,1.3214848907940708,1.5284984954424365,1.1861064731065618,1.1267208334401815,1.4085196532220479,0.912531670887358,0.88776030328133,0.8843244715697056,0.8569213360064257,1.108574131434877,0.8364471597588176,0.7779937433890262,0.7245713582303224,0.911439269218193,0.838245238444468,0.732120128177766,0.9319758146374665,0.6914543660228792,0.8358394363294807,0.8079641894634315,0.8988362061623991,1.0965479063280759,0.9554363083024324,1.0085806186949329,0.725130962039689,1.1017234294967195,0.6373590469310281,0.6299331808625663,0.5807329165532282,0.6474390307153607,0.5861492476212774,0.8665656509809082,0.769812405944736,0.7417536106382894,0.8912745677741506,0.6552202986675473,0.6378714401032864,0.6188766630619046,0.5697719224516948,0.5941090614139571,0.6337659732296069,0.884927208070556,0.768815722777792,0.6794846649884213,0.615929351069269,0.7466853214983854,0.7169086690973551,0.551923967038446,0.5168616278938555,0.7280798435167809,0.5096394500653023,0.6322217228730204,0.5220198629383289,0.5223265291391547,0.6656804007801439,0.6476943837829181,0.7744686560582331,0.9503774287847562,0.9341880174539491,0.807980753482998,0.6535146095452687,0.5378091824779924,0.42130944429913464,0.5168191057332658,0.47298760700978804,0.5969729796263424,0.6694475635300463,0.6952886288449377,0.8715883655626897,0.6659788734481205,0.664701190063746,0.5945591913035004,0.6164159103259687,0.5366217904699636,0.4952197249745103,0.5781204633092273,0.5601325642029915,0.6345867118925764,0.7085151679891072,0.6957811205950574,0.9484948561911869,0.9439712661162631,0.9231571887578718,0.7802558720521129,0.8697408762758913,0.7992982609604097,0.9833691500853928,0.8523783247694069,0.6786468554159106,0.6718540350212152,0.7847010396459007,0.845654169533608,0.763538781732492,0.7390545451497238,0.7854241557444968,0.612773515098079,0.5844025639795319,0.5477875470973287,0.46570606395321196,0.45483909996380445,0.5053523976606188,0.6314163657345687,1.0061742999225542,1.6791911695062471,1.2645813563833601,0.6150604348657989,0.4645220643046011,0.4622725130533806,0.48203816855069775,0.5184769859293901,0.5815089854830424,0.5817143901502915,0.6485010259252355,0.6789104128971645,0.6827177117833216,0.845462850911404,0.9334900231282077,1.1256465452298232,1.2091031008688429,1.1031884329116857,0.9634945857370303,0.790244554408843,0.7481099980747844,0.627367146342256,0.5633050343539711,0.5468013985781308,0.5676382591734043,0.6287869534703621,0.5709401472295308,0.5557324475373355,0.7007437051635684,0.588926144924561,0.710494497620204,0.7965886261265723,0.808388762490888,0.849541880046242,0.938638093900707,1.066512925524553,1.9853630745774247,1.2619746831544998,1.637319895936602,1.0048930571821444,1.1061203152972015,1.0959308889795165,1.052227770678685,1.2470814967735058,1.2181704715718185,1.0971774544334667,1.10477556392219,1.173939616251584,0.8713717045713183,0.7130958722608239,0.8134691571351601,0.8192733605362758,0.6793818598109514,0.6494107579320241,0.786004246146926,0.7031598526495059,0.7335620048467132,0.7226231235333972,0.761540895121557,0.895494881596119,1.0163115849221105,0.9557113829930172,1.067654323949811,0.8920603387220298,1.1612879032928058,0.9972139479345687,0.8570367001925077,0.8635522174954182,0.9065456821745859,1.4510145974216595,1.082734855738239,1.461129370184037,0.8835929356166898,0.7734098961420578,0.7781725801078742,0.8424277031637163,0.8765225850016228,0.8593199408983815,0.972460257223769,1.125652630856399,1.2183990716982147,1.1935946683781293,1.49793933159552,1.6742509084875434,1.610278190283473,2.0943817448528375,1.3323207054783983,1.0597553512602005,0.9167524925248154,0.7986852858744429,0.872847402503966,0.8708923040115453,0.8971303763699648,0.7948409726864183,0.791282681664598,0.9322949563891231,0.8750213691781745,0.7570422523839098,1.0231771982850237,1.206126722339578,0.9353500197816291,0.9721472188866672,1.3003926918671622,1.381382822605967,1.044902371462526,1.0542600434824907,0.875392008467086,0.7894724673057002,0.7074537097453446,0.6953784828666593,0.7597825769058888,0.6966766072636689,0.7317868869827951,0.8114426045856749,0.8580198250907449,0.8941484258346282,1.012533232208189,1.3251758577267165,1.1655745668558144,1.3005668123759342,1.356073963204038,1.5199917730022883,1.499985487735579,1.4346849846515222,1.7680673766597899,1.7114726350817906,1.3608198327455463,1.1958454989427565,0.9465930995997245,0.7586252953262428,1.153287864649396,1.4578050407962122,1.7417045194748038,1.9530388387263928,1.4285207525679997,1.1434679062659738,1.0397393279445437,0.83765062481598,0.7021749062522906,0.6249204762687298,0.6490982450184375,1.3806560832054646,0.6959816226631678,0.7126857318381369,0.8069156191375665,0.9161343829941417,0.6794969857318347,0.906401525996816,1.3713817495583585,1.9981225906654785,2.382063731008317,2.350034411214844],[0.5326382750485577,0.5042816032066306,0.7452242430503591,0.5329300468872982,0.7569181510275126,0.454741510618609,0.3945038595749145,0.4031909869884352,0.4564236753777881,0.4198426369244951,0.41126386901951395,0.4706712467322911,0.4364431283480126,0.4538728869827124,0.5015156532010674,0.46716512916040176,0.5268865316105086,0.5434101539277126,0.6393920951536205,0.6557059714016327,0.7235811951749407,0.7704646652070203,0.889519757887677,1.0277711889961796,1.0079221076955498,0.8664677436620692,0.7627303600039425,0.647268659265011,0.5459049345197838,0.5085947273860318,0.5350731118168227,0.4795651598798023,0.5539977530193521,0.5353448829828031,0.5165356126418585,0.5299194202722449,0.523641543460898,0.5900184171771733,0.6691214375773807,0.7138069235832646,0.8068441876910853,0.7055631474287909,0.7708835564069634,0.9230751906996255,1.1083798526305517,1.5368885473462301,1.799209385240602,1.081755945757164,1.29705815106336,1.8078859305927997,1.3149336115579104,1.5824979233095802,1.2358273923858898,1.160035048181001,1.4598868471761417,0.9313239797626941,0.8830883683320089,0.8892379784983993,0.8647242222202283,1.084603716599531,0.8127341888592056,0.7432454263233832,0.6816924095177551,0.8496900913366657,0.7646914318411686,0.668514844221408,0.8382554632980251,0.6178522792951658,0.746040333449174,0.7538252767421556,0.8445086975275256,1.0833370517074874,0.8993053790066236,0.931071519064067,0.6529079674975726,1.0347736020355627,0.5758732935286193,0.5727030273493057,0.5447423584047585,0.6265300820909064,0.6024673792325634,0.9082882949938369,0.7883203573933437,0.8221236333076561,0.908787596838085,0.672476871042044,0.6377770921764178,0.6167789070230858,0.5452150485949384,0.5740760478941981,0.5852226830141315,0.8434707646635061,0.7141380622912225,0.5998324086476635,0.5576178288257179,0.6857959417271036,0.667117621811825,0.5105100200767595,0.4876427838475745,0.6678600159872427,0.480240869590653,0.6293166222780842,0.5249442777282124,0.5430797197752887,0.7168872385591799,0.6991764295594386,0.8219742208138721,1.0316666759971074,1.0142600844284935,0.8420569448888285,0.7136613338925557,0.586854042517533,0.46434924591325155,0.5495107621455061,0.46552934517072025,0.5974703395015135,0.6538352310659324,0.6659624464165437,0.8086182401033103,0.6115421265764741,0.6031605005193045,0.5456393859783981,0.5760374571836092,0.5194176263361799,0.5038466529497513,0.602731277035907,0.5911425248057663,0.6806812496388216,0.7745514285105289,0.7770443105972011,1.0131666198741227,1.0049265151709732,0.9852322228275031,0.8548127822517673,0.9296332647024751,0.8569487408209144,1.0139547776852877,0.8912902833152408,0.6989145445164733,0.6944482092213762,0.7814749567552602,0.8620310246987314,0.7385203032742454,0.7289691738536612,0.7962787999438835,0.6157758476425359,0.5978635219675557,0.5570460172513478,0.4923855039931316,0.47259486609754653,0.5122348600627522,0.6031961506390001,0.9283576931654378,1.6115542808844239,1.254049198676238,0.5779521465944674,0.45342418969745124,0.4573720748283245,0.49615597047343524,0.5494440142623492,0.6217778011894471,0.6029174803151086,0.6770552244282761,0.6995549693632275,0.6989473431568057,0.8725676118715302,0.9664243016357862,1.1479619252798694,1.2292250753984149,1.129145968707368,0.9980431391856615,0.8262257488028767,0.78576089576565,0.6672926521078757,0.6051713185886073,0.5866386934442837,0.5809621622429781,0.6427974725101896,0.6087415672416853,0.6052497266479192,0.7174496302379697,0.6516923301429309,0.7802586405484769,0.8622343424702518,0.8590811261204158,0.8545819525075412,0.9344100032770671,1.0754884053727367,1.995022203240376,1.2888549037188852,1.665356730882401,1.0439755570205524,1.124107055316998,1.1271467018187054,1.1091528408873852,1.3156319386753015,1.2735174306599988,1.159547740220127,1.160851147274978,1.2448752769733413,0.9303426563708306,0.7723418247310937,0.8713142491847174,0.8553340635280262,0.7089137215459566,0.6697922044544994,0.7970314975567537,0.7055285209956225,0.7043071189407346,0.7193130821116138,0.7385387711084724,0.8563887113197118,0.9959772378300425,0.975286562292969,1.0481918739599376,0.8592766188527626,1.1082546948727454,0.9346301222201068,0.8254536910116174,0.8178155150494978,0.8783276697924155,1.440446679321277,1.039941632432456,1.4181502951890286,0.8999840654089479,0.7813621796976253,0.796653584941477,0.8887433154016522,0.9031399419791842,0.8875620947544823,1.0085058559211337,1.1802441019864287,1.2588018289974592,1.2462782079696821,1.5757158798549171,1.7261698537325907,1.6345438855332621,2.152452880668665,1.3687258574747967,1.1360399677450235,0.974987097987214,0.8185989799615121,0.8750620651449451,0.8723746938521402,0.9076698849741719,0.8048324089332557,0.7723426456201403,0.8661844430628928,0.8494449024468137,0.7241551822181134,0.921150164003418,1.106492794484425,0.8613095697802395,0.874618234185081,1.169228874346123,1.2794888680543735,0.9719170965702263,0.9633123057835622,0.8207251816223601,0.7270885775477919,0.6603308990599771,0.6707565173391763,0.715547771878133,0.6763575140694421,0.742786598685912,0.8130871712554416,0.8520645314735859,0.9134599330471442,1.0373489525820743,1.3283049702578542,1.1645433505720848,1.3050682635020197,1.3604064300824854,1.5039080650033563,1.4807091109775008,1.3965855941964986,1.7231612222357902,1.6491222020453147,1.2707678768581387,1.1083434917415178,0.9016150327968254,0.7181790414846609,1.0436593050966385,1.3735770791463908,1.6762885800984442,1.9280263614020974,1.4435290078558058,1.1614523882183565,1.09370680233073,0.8869492252469153,0.7011406174419479,0.6655845819006558,0.6584333229452186,1.3430902082142087,0.7309694751472992,0.6954991368721973,0.7708870026852932,0.9295765940117087,0.6492579033060346,0.91106945116808,1.3204115720882597,1.8447612506788755,2.122086928062521,2.3074117209894895],[0.6100316996649308,0.5731282130720242,0.7422558995750839,0.47427624120700584,0.7091572358981202,0.44118910257417415,0.4084819814437701,0.4203283858823071,0.4920769872197002,0.4947542053660271,0.5018095950428212,0.5220391839688249,0.5459333822763336,0.5942461239558787,0.650132719220028,0.6096685268657204,0.6854250381667828,0.7482764559971484,0.8894223142122265,0.9106796052366095,1.0111591025807831,1.0478957550288812,1.1933247753951548,1.3338615041632695,1.2714134518106002,1.1498678024076154,1.006473489519985,0.8556402938948597,0.7279066835678635,0.6517652213952272,0.7030522900540046,0.5937763819792051,0.6454277609855051,0.6700453136992859,0.6675066798258107,0.7291690179552788,0.6721973987324464,0.7770987023773986,0.876495033171956,0.932248638405525,1.0319837021815357,0.9866876213922564,1.0651117292607146,1.214937386435965,1.3857021577627495,1.7385462053977438,2.033518501581714,1.3691641196603674,1.4878002220141626,2.0313120868928176,1.5772552912757902,1.8179983979859697,1.4734540924875068,1.401543296174331,1.6544164080029373,1.2051011985947324,1.1715693837167678,1.1081208333976345,1.0802409551248544,1.3372017174709223,1.0571960732668721,0.9647211780759681,0.8878939357497212,1.1235850562125902,1.046868838317979,0.9217291349835082,1.0892710847114782,0.8419849808589277,0.9365294023403478,0.9456201393363254,1.0127979424253786,1.1984020862022668,1.0477669370781575,1.1207307524280625,0.8489653621326221,1.1461011547676898,0.7970618967511658,0.77836838519908,0.7612045959394335,0.8366611461373838,0.8028655888072221,1.0687833787813066,0.9022258077479648,1.0105608071821786,1.0671022676153874,0.8335434826992358,0.8290219850854987,0.7825187169707982,0.7669446770773477,0.7488735543458103,0.7571830996672276,0.976960057260878,0.8534543183309208,0.733067711634685,0.6850167508466053,0.8061018484589785,0.7804115098026945,0.6119056181093037,0.5664582615264427,0.6864101610503988,0.5472142223073677,0.6494277863553743,0.5763865665879848,0.5753972796234418,0.8022343194784146,0.7481258988518809,0.8826829697073478,1.100111038336635,1.0501434062395174,0.8568902472710305,0.729937004326915,0.6291780325898639,0.493626608421237,0.620920383426717,0.5986034561427905,0.7680397528529793,0.8387400517814371,0.9159504160006521,1.0505846883357175,0.8317965220346587,0.8242040821429077,0.737712523075214,0.7811504207539419,0.6614735002841879,0.5528894865630594,0.6444186336875741,0.5730631160028887,0.7159295384110488,0.8116093177597233,0.8540101034669773,1.1229048249265157,1.1097538980624595,1.119974299559849,0.9668546588796666,1.0557128549181483,0.9658754150509626,1.1046341794783063,1.0325178264357648,0.9058624122963651,0.893956647022037,1.022887570761891,1.1452303546971552,0.9847375722321451,0.9350476917777718,1.0072185429225013,0.7862993473456391,0.7604523981112824,0.6697647386420947,0.574290278261939,0.501075707614956,0.5289915026276072,0.6186236410173922,0.9049145858038831,1.608839878196179,1.2856612948531878,0.6177360708999574,0.5058631470819165,0.48339438124605644,0.5630925736650465,0.6043200737813393,0.7342099944897078,0.7431081530854452,0.850910439349578,0.8848852356123733,0.8892399729292384,1.0614907704086256,1.1347404907444611,1.343865230521072,1.3860958665265632,1.2772432345023996,1.138869050626021,0.9884932545354241,0.9414898848734292,0.8137072190885771,0.7527270913958369,0.6945620461427205,0.6881882801671857,0.7273813922604769,0.7503451245532211,0.734572050745458,0.8584861278225236,0.7630471709626301,0.9134090118435663,1.02120454232841,1.0123068497136818,1.0208339877779122,1.1048361413454773,1.2702498702409617,2.1325013305676483,1.4706396367241101,1.8596277004308757,1.2111660006051728,1.3066770061868485,1.2747234716501517,1.2661885814202434,1.5132899686564352,1.43021160096744,1.2978250364469401,1.286623868738378,1.340671481110751,1.0238550388082581,0.801035289089693,0.9108145815029383,0.9156654335258797,0.7469267213324702,0.6702264806205465,0.8080337233907615,0.7466568333508536,0.7071417062033819,0.7380473082946657,0.7961920097101448,0.9393379958602102,1.0600842396203354,1.0695543476446439,1.185872562061485,0.9525279746303199,1.2183978041469175,1.0478704220661414,0.9159728264679151,0.923614241328385,1.0265772943120692,1.448446123706571,1.1532703076070545,1.430074257968602,1.01173953699688,0.9014070469722385,0.8753578892486633,1.0280526528814717,1.0761109382246634,1.0256690525930652,1.1300058520129257,1.360803718484314,1.417051182903984,1.4148905447699127,1.7941448350561255,1.962519849852262,1.8364514221806236,2.3601762200067062,1.5016363803194936,1.2615269178434816,1.0828932399607913,0.84002638025331,0.8414376305882733,0.8154949018096761,0.8571431356265348,0.7597369779200538,0.7200565222986143,0.7840487884326137,0.7625189282790064,0.6929042324967254,0.864953394954616,1.04956587504265,0.8420208953379452,0.8613354088293652,1.1573225068442914,1.3182671981412366,1.007030554348668,0.9996035456835146,0.8536406633462821,0.7464792973133857,0.669315591620327,0.7122056253256862,0.7727525952616439,0.7288132848079569,0.8188762118898074,0.9293336731887569,0.9493634739409496,1.0231719499999725,1.201364998553289,1.4764471909700037,1.2799733887547131,1.4734218882774264,1.5560963528351304,1.6660024903136295,1.6255005911436062,1.4944497984265142,1.8838150879279403,1.7484504237960876,1.3514152320573287,1.15064109172169,0.9356122949507654,0.7344768518569427,1.009230476054231,1.3878626897307378,1.7368398163983418,1.9900967357957047,1.5274097383366225,1.1835249811824886,1.1778862283330656,0.8907213197135122,0.6960643443335697,0.650133761194858,0.6339744015775064,1.258555788218332,0.6974941947006137,0.6828239312241989,0.7158721664773727,0.902967770647778,0.6203655674507611,0.9335089592114194,1.2737718477996995,1.806889572779038,2.022925656940918,2.4357494283103502],[0.6532252649547666,0.6356882592463529,0.8508529404324848,0.5478956477841579,0.7641601727198588,0.5422032514987526,0.4116046526165871,0.4130664671040106,0.4673151976134932,0.35760376467958416,0.35761908212843496,0.4474104417440609,0.3505880444193387,0.3669883482228141,0.4221335173580961,0.3736138708388694,0.4679313138749945,0.4770007302421307,0.5945700341935931,0.6248853535305837,0.7278108932184837,0.8127170449467367,0.9034271764928646,1.0683881194995508,0.9985061634709967,0.8219660411662779,0.7037153386476928,0.5811205105622407,0.4980486735437689,0.46414663716639426,0.46642521720466007,0.4084746570736088,0.47172754835635117,0.4611692236678539,0.4487956971054041,0.4876150584101974,0.4759872952915885,0.5664474630041331,0.6229496927008465,0.694865288876979,0.8192985284210543,0.7004835738795391,0.7883629614841968,0.9606602580004189,1.1727405147449896,1.5684422181418398,1.873143760086658,1.1396273016562328,1.2379396119769552,1.7569496401635738,1.339938737156675,1.6668303986238804,1.303592568940462,1.1980946874367453,1.501437561343852,1.0024694088538948,0.948816327233011,0.8914970664831613,0.8708465200198764,1.186994668981059,0.8356402995167778,0.7602162257951361,0.6747191724980315,0.8349393249704058,0.7584227934378783,0.6943717285674894,0.8256385929644109,0.5939633878136185,0.7019169218149228,0.7732796421525691,0.8663072590483831,1.110431921295667,0.911561359425682,0.9147063202884854,0.6494105028784307,0.9899370811631362,0.5721586709513066,0.5389228862644934,0.5379622110822928,0.6328384053422943,0.572975346932468,0.9028562398541804,0.7707377850564351,0.8957893569295202,0.8639509976387602,0.6460354506979614,0.6071085725213522,0.5879350247460917,0.5169871431926268,0.5269369758733773,0.5451869544386656,0.8145410904081649,0.6709547513015129,0.5136607978543668,0.4767787365276967,0.621413071705798,0.6376066936387451,0.46168374764281245,0.4603870900239239,0.6576197114558703,0.46119117710177837,0.605549556840065,0.4822178207903543,0.5289079394156577,0.7582029275825016,0.7254588446108878,0.913272234439024,1.116022763057833,1.0888729785133984,0.8911330664294226,0.7703048837506835,0.6084434019752977,0.43617241420822866,0.5132033134274966,0.3945801857375025,0.5002702800191395,0.5848989329867843,0.5934967471618227,0.777178219356384,0.5294310787327486,0.5425144321911837,0.4694892622973004,0.48536070902012285,0.4165432674626729,0.41029313359934755,0.5509753911229781,0.5512503204883574,0.6834470140752252,0.8207332410383933,0.8593252864180455,1.142844329154488,1.1501930963400642,1.1192208178662395,0.9573999784461046,1.0048425183512708,0.8983849882009514,1.0440434236417058,0.9021346031787788,0.6684248262050685,0.6411312890972666,0.6571741305435548,0.7614361154993138,0.6370353833313493,0.622094267227577,0.7594493092285762,0.5689015732621157,0.5512514679096072,0.5341083985367364,0.4692075518481834,0.42585332996006414,0.5145925435595569,0.5044453491105093,0.8250445314328759,1.4559305833750973,1.1976374916990684,0.5264106131915383,0.41794985622466235,0.4480988802872145,0.4406400430860623,0.5469478483544152,0.6146127963407294,0.5844571642441472,0.6471722357213837,0.6847863471627734,0.7048809277078025,0.8814280465008998,1.0061163527533448,1.208013499157721,1.2887058925516732,1.1422329245688254,1.0120000765121695,0.8262559384962727,0.812987974320907,0.6778415595319803,0.613343986169248,0.5998273794724004,0.5583457409452217,0.6253003989482372,0.6137700813586832,0.6330274604988558,0.7531739384755625,0.6927201292167634,0.8602248198033694,0.98126363947084,0.9373917161131148,0.9010684142952847,0.9436489282594958,1.1534791244409435,1.9889892205925273,1.3724135655355765,1.7151830267695172,1.118491735198679,1.2513303826653899,1.2620234014310268,1.2775441223274222,1.532275570052333,1.4336475657325654,1.341872232148117,1.3619812921568843,1.4023303253287007,1.1258374424356399,0.8935060774828791,0.9898753693183697,1.0123490167632458,0.8543463277025095,0.7621994846928244,0.8866132119965789,0.8358826446783544,0.764058061017358,0.7882925629591102,0.8435555066433013,0.9589526011850295,1.073009310530109,1.096217667869411,1.1886831859161804,0.9828849209603313,1.2147652018698272,1.0950995718732437,0.9784429121693407,0.9708288495349566,1.0958466061921162,1.4357490301086486,1.2205930980222819,1.476929784843206,1.1125303241777191,1.0235058166742639,1.0107708864685836,1.1489520967716604,1.197543009947581,1.1403318235567768,1.2269988880060583,1.4813245600616114,1.521715964085864,1.5185271764222104,1.8845298495165737,2.053902349991086,1.9241488082561284,2.426667928500382,1.6031532430012494,1.3511987754544312,1.168333357151345,0.9251818108862057,0.8957682593846237,0.8794309827572784,0.8900151164755891,0.8306286208479222,0.7755280361313225,0.8034769433518303,0.7791714415259628,0.7533558234110099,0.8666833957342841,1.0214307505824713,0.8600107158926171,0.8671222747526168,1.1213002504590293,1.3009569914755712,1.0080897219214298,0.9960222267739423,0.8715620364572738,0.7941905896755376,0.7471598598271443,0.7989898486681016,0.8456538945109872,0.8115188466862173,0.9257628848477139,1.036497393833833,1.0398672941366802,1.1257919715084703,1.318144469265658,1.5669109240828965,1.3716911464839499,1.5759752677267178,1.6539558078459728,1.744104423532483,1.7084236195219673,1.5776317249119942,1.9498090693463668,1.8198029837925715,1.400216810512428,1.2031280733433196,0.99490186089535,0.7799209072816402,1.0376154607307064,1.4677154572895779,1.8286513779024438,2.0526932107666838,1.604685462444798,1.253441149168983,1.2520057314959683,0.9225018765275901,0.7899765535044327,0.7271345781900022,0.696858975265642,1.1454009234230773,0.7386743293029716,0.7422273145008546,0.7374185906571793,0.9136424011717444,0.6870946756329188,1.0211599666863176,1.2466651376382805,1.6948488407943962,1.8976968482512662,2.692732412659593],[0.48956407206120434,0.4730103102596039,0.8554846461218663,0.500546785837728,0.7369119201917125,0.4471717015187155,0.3572235394804813,0.35430158521640626,0.4110112769925985,0.33527070325567726,0.3464578804132217,0.4244259809885545,0.33301753958070024,0.3701447621992045,0.4254994385877694,0.38702232801444536,0.48674310334424076,0.48355947404843314,0.5940163191108365,0.6371793319178461,0.7302309750360636,0.8247726426367644,0.904201882067666,1.0515427025162156,1.0037912954842776,0.8074777799178677,0.7066733351516518,0.5971373922630687,0.523819409958655,0.4941837216108105,0.45980121579352407,0.43632066348805504,0.46183236321741555,0.4751056930651809,0.4894826508180848,0.5229359396751696,0.5236694256967785,0.609264655353199,0.6569617948396359,0.7310077250431094,0.8465056603467838,0.7209317783425068,0.8046376982647644,0.9691705333231335,1.190706635162556,1.5774856552391916,1.8423755818668084,1.1299599662589856,1.2112513272276977,1.7004421406830896,1.319915692807296,1.6841043579265575,1.3259704653517885,1.220805797132767,1.5315546069810309,1.0384985212844144,0.9776244440622035,0.9169231730237798,0.9034192094714049,1.2318102926227694,0.8713684942174413,0.8022523434735763,0.7032013476174646,0.8237736953602306,0.7602657432176072,0.7199482575165693,0.8205763556041009,0.5894024329859772,0.6900525947164674,0.7716777053717455,0.8780527859207721,1.1261164192546183,0.9019737808555707,0.8784098176413244,0.6655505176008948,0.9475956045792577,0.5900917585530218,0.5502470141560885,0.5678122287120702,0.665882692177669,0.6278475224776315,0.9554737979417239,0.8093125687129661,0.968537005606762,0.9045207610748156,0.6996168307670708,0.6455940637583495,0.6387937541172395,0.5520853114623162,0.5624811043376774,0.5525240779877526,0.7981879738830036,0.6539690652043828,0.47346129147408494,0.4467753000347131,0.5807732837756818,0.6225405470708124,0.44747843165275775,0.4283120303258744,0.5895582176246855,0.45637431860235433,0.592741191887407,0.5192157789255002,0.5424590067576762,0.8348752167246316,0.7686148579934653,0.9616485437647425,1.1806882190485062,1.1404217330923918,0.9097080198637213,0.7902789295510186,0.6375992279952637,0.4371275631546496,0.5365982023099277,0.4219156044284187,0.5157809190070416,0.6013828711221542,0.5990666430099011,0.7610815442071276,0.5248150444592077,0.5487401494404311,0.48573775396834434,0.5084862113652685,0.4361238546978799,0.4030738489757887,0.5611303729227186,0.5362998672647218,0.7075597167493206,0.866235075279192,0.9226490660338742,1.2034492409130961,1.2021558630571747,1.1659462897158523,1.017658335205724,1.0542230099661327,0.9376721034885476,1.0880144299360635,0.9421190519027197,0.6910051818269883,0.6598298366935821,0.6406375333587402,0.74595043627311,0.6269184286058856,0.6294046159342146,0.7860586189361417,0.6016389372244617,0.5848918034965496,0.5706459753781989,0.49652634946075247,0.39912247560463543,0.48661288606122194,0.4362853175909833,0.720735128217767,1.3586707250234722,1.1243724303503035,0.4640086163608474,0.39824082635705726,0.424486117755213,0.4749473030903033,0.587286447384953,0.6656148771435514,0.6264911173151331,0.681170692860215,0.7186053170848226,0.7329882646256803,0.8963539126905712,1.0275943881242622,1.206762896148349,1.2955145177631704,1.1531337437933074,1.0402207468175222,0.8561750576039778,0.8525489335477535,0.725570075476789,0.6652014413058042,0.6513704993984075,0.5995729874525747,0.6596627785126267,0.6678289760578557,0.690990125770423,0.7788404388240882,0.7541763115144737,0.9165061962647865,1.025365372664902,0.9786208935431708,0.935951247512084,0.9654844398301704,1.1787878769997606,1.9790704401711297,1.3796825591100914,1.7163441751149868,1.1382249665965125,1.2663591159447904,1.2831546289896145,1.307730644947961,1.5684985556702489,1.4863144068247287,1.4007247136785637,1.4051178286636914,1.4706403390835339,1.1736242997489026,0.943853759194709,1.0333026253576814,1.0333221033740314,0.8630217747623878,0.7257040766812477,0.8376950727687295,0.7819629635452712,0.6598120662958011,0.6810807525866609,0.7438408788894432,0.8236184009246105,0.929739384245254,1.0118482569700264,1.1094237214085791,0.921404164389733,1.0849946677204338,0.988521229190912,0.8999495161026974,0.8761127554317928,1.0141213742544435,1.3511668909496275,1.152999978918241,1.4662779470579481,1.138587020742649,1.0568545510643008,1.068579485057153,1.214725967572435,1.2228943914010664,1.1837796839099202,1.285434653677385,1.5085809041921332,1.5371718127587874,1.5524197980871326,1.9351999117372345,2.0657098335801165,1.921102414339775,2.452898670687783,1.6087218759974695,1.4138736071661977,1.2441607163263457,0.9936187656367669,0.949152330559557,0.8957047061098932,0.9479507752702903,0.8734925938872217,0.7727124937017998,0.7623965693689702,0.7799619751010565,0.707711373503399,0.7309389048333856,0.8631298292388636,0.7168671293115626,0.713014318306285,0.9044996433713008,1.087396138852858,0.8316679396800237,0.8131356251724752,0.7409376529302366,0.7052797165895832,0.7096468024966038,0.7936174447008998,0.804122550137727,0.7757659161546163,0.9393552510190116,1.0160727641217253,1.0058286432325745,1.1291686720287346,1.308327070544639,1.513750440330252,1.3271460843079468,1.5492797387208161,1.6069042600052392,1.6715174415702698,1.6277175916718203,1.4813365430285805,1.8569474327422764,1.6833467662489525,1.2467596140952828,1.0540132564629539,0.9062414286649699,0.7049525397410249,0.8879554245614542,1.3022911469109384,1.6811810542565384,1.99323845555305,1.5860708980078864,1.2471042225249076,1.298105376343154,0.9555310767569888,0.7449806584308459,0.7371676136426427,0.6793663449959219,1.107271082740555,0.7271544987357905,0.6504685038570496,0.6645346409055767,0.9215871716057591,0.5978135293683324,0.9518354906879256,1.14750165019562,1.5724994093615337,1.5962324588083603,2.6071243813887515],[0.49855826964605837,0.4863974175927262,0.7391987447413878,0.4997138071976712,0.7451963336615721,0.549084018794151,0.5196589525932357,0.5281055580193378,0.5887041561508115,0.5569247052130432,0.5618879094898341,0.6228801456904858,0.5746274872362083,0.5988063956550739,0.6348342792185028,0.5961589996725306,0.6404985712152319,0.6301681911499815,0.7026646214480684,0.73402354321554,0.814957234063473,0.8693297197730581,0.9553685465847745,1.0898605019636187,1.0611788200234684,0.9040965142219118,0.7994566658478319,0.7092600615168386,0.6527284705829047,0.6251553905734258,0.6590091002690188,0.608940523492579,0.6662292879932413,0.6680143220902931,0.6419436383014312,0.65150968489228,0.6485621045164703,0.6968698370579464,0.7314827713683455,0.7562022173878881,0.8868621977946313,0.7748800109964241,0.8379072762386037,0.9808948195027629,1.1621651379575957,1.5694891134474114,1.8544170619680032,1.139783822624124,1.2838312076471143,1.8328229247876622,1.3631458645013925,1.7067525589315378,1.298064504615579,1.206581526165982,1.4520433715280276,1.015238676933887,0.9843659719871141,0.9286904441868707,0.9179257260271702,1.2334375642647029,0.8892318177491085,0.8542019647445945,0.7763969234087539,0.9321450904924784,0.8424417812506386,0.7968542731381779,0.9168268200637034,0.7096524886795507,0.8032399082014618,0.8955569684136878,0.9598689198528751,1.18430030767297,1.0033746412257512,0.9818286732180439,0.7716386724177262,1.044606559219526,0.6898617000344753,0.6770006769321448,0.669972727560089,0.7335601404498052,0.7032822899069135,0.9574181666736977,0.8867434892377503,0.9527863516112439,0.9511021809725067,0.7563655341710164,0.7027591935115618,0.7063114228630801,0.661360816623178,0.7197006140104006,0.7117732033045637,0.9470648097612326,0.8230104147558182,0.7149701944641454,0.6799096767971494,0.8115338608069366,0.7980706376080463,0.6681429111482388,0.6372812680386479,0.7173548102033744,0.6141355158903521,0.7343722050981779,0.6160376942274243,0.6394334527540825,0.8434243597611892,0.7862325961419396,0.9219651933133203,1.1412181479510173,1.0992449863071434,0.9428775611891945,0.7934854896575819,0.6840334384074848,0.5743002328461216,0.6287112983983869,0.586492781170594,0.6776728491942688,0.707346541080262,0.7231220716171156,0.8488290054469625,0.6814392028736799,0.6838588809417618,0.6338305519941912,0.6535342737150459,0.6049885701548229,0.5887361361024132,0.6492774714459719,0.6319874114175602,0.751377105214365,0.8696600522993723,0.9088676800051613,1.1568543344463262,1.131217945945046,1.1126098830830382,0.9779240325750085,1.039259327220215,0.9558228370758098,1.0925224898426182,0.9850664662176425,0.8010490425264786,0.7688306047651785,0.7896368904544598,0.909969226953397,0.7899946420378214,0.776837908442129,0.8708623811320213,0.6961333449704429,0.6846716887268394,0.6478624153698384,0.5945542145098126,0.5371021280885314,0.6028740566760193,0.6375172574495421,0.8590016077455394,1.4863547844075369,1.2093055847796783,0.6309355058867411,0.5869766914856883,0.545562353032691,0.6149562493909743,0.6376923326490446,0.742610921030177,0.7182188878671765,0.7762937779269263,0.7947862029468807,0.8044053064931067,0.9719565942272556,1.048818680455204,1.2210379068700463,1.2947406879839676,1.188157477774655,1.081684503134103,0.9218565984407264,0.8959100449537535,0.785370351605213,0.7291276995493343,0.7019333175247908,0.6661366055258752,0.7077019659198849,0.7178797152821574,0.7327057961732925,0.8344277238583028,0.788814506426447,0.9139101267305564,0.9786378849587848,0.9512517986700927,0.8903738650132023,0.9372970814002868,1.147706491425612,2.001720088701959,1.3726870419948418,1.7531057950013935,1.1180834724553246,1.2297456337444477,1.2313798139304628,1.2272158076833264,1.4656695209711645,1.4343174723739915,1.328934617444628,1.3139763332456686,1.4156610488305925,1.0946829832628062,0.892230270371294,0.9886177133186099,0.9628975186600225,0.8016779034573831,0.691114371607629,0.8091961159490301,0.7459859135309942,0.6600296087685724,0.6889365148278589,0.7414164700252596,0.8201163006517128,0.9286230876341738,0.9838568094572028,1.0807878178079195,0.9038209301114813,1.0803059605712342,0.9616339674865679,0.8691877142217482,0.8540243505439761,0.9540232873114799,1.4112849954331874,1.0900243065603858,1.4315841284947253,1.0519737492135637,0.9614078624164132,0.9718335938594087,1.1082594084220931,1.1057283819912773,1.081546548399039,1.1884107579626144,1.3902220233287943,1.432528576319399,1.4358289417842522,1.8046601042274477,1.9461639393390782,1.8105813349574076,2.3503464772122107,1.497128009896404,1.3222224617467115,1.1537670325109584,0.9204407249533848,0.9138029820630154,0.8594550416212092,0.929525205739389,0.8379941922997322,0.7420060689817123,0.7821172799056618,0.7787430977650738,0.6846227488339802,0.746702019420845,0.8942741839262817,0.7373771670587312,0.7412640884919924,0.9460627701143604,1.1087156948849768,0.8517528624431431,0.8297878578859865,0.74389210422541,0.6879447460124992,0.6711319843489728,0.7319767947666828,0.7601235521451921,0.7374814821709399,0.8605886581553213,0.93557815796936,0.9446286018437918,1.047011349141587,1.2000012048069415,1.419869059878327,1.245308080606415,1.4334070775781942,1.487086773242003,1.572373398886561,1.527334389826244,1.399835645285786,1.7813678605935033,1.6391833550638706,1.228406015003924,1.0430611750657932,0.8847759428188422,0.7281090696177023,0.907218136033662,1.2446953460834171,1.590895296406561,1.9189297236300558,1.508769706257579,1.2048734803218786,1.2253655852746514,0.9444966640767553,0.7420203402514398,0.7420823627232411,0.6852996767469769,1.2578895891446615,0.7506441827131551,0.6630976676140401,0.7205105880340166,1.0021910903473228,0.649896858097978,0.9554071763234587,1.175704348278062,1.8535196408639585,1.8814796418077078,2.5059808203763945],[0.41327824352611414,0.42997884370733863,0.7626256260847112,0.4258070442716775,0.6591765414858121,0.39109961940627447,0.30501789759301495,0.3136320909582736,0.3893454086616305,0.28432754080304956,0.2858481301781447,0.39459500249788215,0.2837582085414548,0.30306939648484293,0.366381578405216,0.3258554159221785,0.4195481483274912,0.4000870737017207,0.48882147992875735,0.5410820183624971,0.611729155519173,0.6964566899649899,0.7882365853969399,0.9227496133214287,0.9000551808942421,0.7088011421047585,0.6265568122982919,0.511535155939099,0.4442475178327955,0.4260316162784332,0.39894556730321307,0.3766316705521081,0.42545915087691066,0.42274175383150114,0.42890969681209307,0.45546152113683197,0.46691573981956336,0.5257477977332936,0.5714155340429826,0.6324310934002,0.7491538563702963,0.6194060170881379,0.6889096469654261,0.8528970470559003,1.0610737087830298,1.4879780289338065,1.7134083503118105,0.9928915687611679,1.1897484678209724,1.6790867936746874,1.1921642255428855,1.5188504528828637,1.1837191452808218,1.1016932648303783,1.437438698018561,0.8950479093106771,0.8394744700815182,0.8411426719729348,0.8279996829696447,1.101573346685616,0.7609187876095248,0.7063482374569459,0.6123534331097741,0.7182843041361164,0.6539632175805994,0.6140405021654272,0.7212932662845195,0.49285938416699515,0.5929574859930425,0.7036776994620952,0.7944844133696582,1.0351934882401603,0.8365203037321599,0.7933310002718165,0.5695119033377074,0.8783293854133291,0.4991443386703376,0.46605124530907155,0.4851058696478225,0.588280818182429,0.5621211920910458,0.8835683631133009,0.749202696808383,0.8476408534232008,0.8368826295399512,0.6209396880298801,0.5698925661990574,0.5854028801062451,0.47029367004663825,0.49834927186907735,0.47425269576871487,0.7247453830104205,0.5861983800152272,0.4255324473319966,0.3993510738300067,0.5364212438997216,0.5855925939605079,0.41098937890579,0.3840129409843654,0.5456906414924771,0.4003563845042596,0.5456833469565654,0.4645510811740578,0.4927940422918447,0.7445542087488987,0.700479756171068,0.8600489261833757,1.0822731694889707,1.0541386369462353,0.8618058019534625,0.7090719813751011,0.5778321286067218,0.4006626300612394,0.48471221807930687,0.35079158803401556,0.46275800206701573,0.5262657619257476,0.4906706406923633,0.6515789414243437,0.446536680607927,0.45267739347323555,0.41760535735074095,0.42069888243585296,0.365517095427642,0.36114312557486433,0.5140638833590794,0.4982372962554294,0.6559565877965166,0.7942231003611238,0.8293029967743991,1.0601613051627226,1.0367243797010608,0.9952251814439232,0.8855785285211537,0.9314667860237985,0.8591167533057956,0.9957508749817697,0.85604189733751,0.5920222427832932,0.5738203902602617,0.5535952897469114,0.6521223539396015,0.5456866561132122,0.5622715956020924,0.7034062349415742,0.5200410844979466,0.5101761518156602,0.4936138254045586,0.43421358122322934,0.34695002684111215,0.4563469854507344,0.43090165915821405,0.6949885187768267,1.3682158885550286,1.1349809448563606,0.4223949390546299,0.35275755741606624,0.3654933053320439,0.42498096154658027,0.5191916278817569,0.6068478937537403,0.5553733295317608,0.6123071107744341,0.6421150587868941,0.6499956392878908,0.7896211617082792,0.8936713625969436,1.0350731046449282,1.1313429531231292,1.033539634463298,0.9415846720519951,0.7735911002538428,0.7673223278612407,0.6485011834241736,0.5856748134063321,0.5799168506234884,0.5410780583930566,0.6038196501526106,0.585164099052732,0.6064344614089302,0.7189556260711822,0.6640185365996827,0.7913462076928522,0.8761274048197905,0.8422166120927,0.8240849638915653,0.8863448103830279,1.0652267394364001,1.937890399994599,1.2482807064130559,1.5750149006898535,0.9910725343005988,1.0823901856408173,1.1046782430458304,1.098016985255864,1.312471330573921,1.2952159735512856,1.2133850409400422,1.209085148103372,1.3498933342363033,1.018438017244543,0.8338975145957163,0.9237545361248217,0.8788918719382769,0.7217022996479415,0.6025817558241471,0.7254130504370738,0.6524615086823002,0.548363615328917,0.5910241247190822,0.6462206563730032,0.6971089339523934,0.8075478532631247,0.8977722550173854,0.9695192354220354,0.814008528308519,0.9426818851594577,0.8269565762204494,0.7556632812573933,0.7356505669115909,0.8292492844547267,1.4123319818612843,0.975998904964261,1.3598102649583708,0.9490773841862022,0.8651224484676552,0.9004170609501942,1.0224391190232494,0.9823240482798977,0.9729943828195247,1.0820237885062398,1.2587679629410036,1.287315661926663,1.305508640530422,1.6919299930859335,1.7719489198357203,1.6426954982583528,2.234022838997551,1.3841581287290667,1.243741578364182,1.0738291750778983,0.8523354961257241,0.8662742218163804,0.8072434229696053,0.9127200826514927,0.7928620513988542,0.6829660948629737,0.7164247439287673,0.7175794714051007,0.6043234321722556,0.6325187339622024,0.7726039237000186,0.5972490620730274,0.5902099082976727,0.7820201398181865,0.9560086748859492,0.7066131157052334,0.682051373142086,0.6170979172356932,0.5768228726595289,0.5796773042218638,0.6479194029099741,0.6524197482298372,0.636759467305038,0.7707148473507224,0.8237988093995039,0.8374218272190094,0.9363355030566892,1.0722914603944314,1.2655591963373736,1.1040505784125971,1.2763820107934811,1.3000126553321176,1.3600325563542468,1.3218012370019163,1.2131023379901997,1.5721755327240474,1.4838950639186381,1.0549772454947206,0.8841225502952385,0.7596852401308274,0.6270796889785102,0.8116045012657267,1.049084827377253,1.3729375304558251,1.7473420025588273,1.3831309295384726,1.1176076897840885,1.1413558001425521,0.8792037748797248,0.6285824362497202,0.6523637985314401,0.6090427727268963,1.1655512998723636,0.6598873362438066,0.5554287569871829,0.5883387709449075,0.9187855139798021,0.5134154171500097,0.8149161005709787,1.0898462334861325,1.7384530643554779,1.7895460108832097,2.5600147787913006],[0.4761739646892813,0.4320645445846576,0.6282026308186752,0.35426556498209816,0.5702469902750061,0.347874423146132,0.22545552813521413,0.26152406131772954,0.38163763058098094,0.2469205091452099,0.2933566984877066,0.3868043040594169,0.24328864393836877,0.2735498011708653,0.33790915952499684,0.2884384367708802,0.36199201245108165,0.3346410663244227,0.42846323385206536,0.4046992749306226,0.4726587847780064,0.546734848234592,0.6440584784885877,0.7535786494611867,0.736150928380451,0.5676773716075216,0.45826235634922224,0.368518855583051,0.34635601221855405,0.3149511982228477,0.3680163760149572,0.3163494050211182,0.42871047330453305,0.3804466314892799,0.3397039735483561,0.3261046644083645,0.3368162612685466,0.3469183277191086,0.3753452844148551,0.42376480136987205,0.5731867941713725,0.46516428614254984,0.4990852760672484,0.6719993380235373,0.8904048953612154,1.350910172381801,1.5249734799645696,0.7972961627838483,1.1157134393349333,1.5806934488657187,0.967564097079661,1.2350639232104166,0.9355377067669355,0.8533047104758398,1.2557116236305506,0.6798977646664733,0.6089429991416001,0.6795867480437985,0.7012804222529779,0.8931664694625486,0.5841056409306459,0.5793849750489709,0.5121860135740495,0.6012162441225068,0.5116925866257938,0.475187743627566,0.6377873969875907,0.42324775667582304,0.5849893235214223,0.6582553057464863,0.7492252767518431,1.000751735533991,0.8318424655215931,0.7602026172266765,0.5298143092385766,0.8334093318514659,0.40913834491640994,0.40086540408755794,0.3652950449658475,0.4454293934992544,0.39995881334711253,0.6866996655372954,0.6501263739148276,0.5765332312503765,0.6202508453640112,0.4258693258703231,0.38487678785407037,0.4622437921599981,0.3229666326891742,0.4026475700276392,0.4178017595316295,0.7015024509885505,0.5620448911436174,0.4374813728755903,0.4089754287600225,0.5465228341906535,0.5901916737478354,0.42114455733761963,0.4038829368608608,0.5945747520894746,0.37478290954112115,0.5225267842965029,0.36069542413117733,0.3878323725692256,0.5239401035690655,0.5066035003881113,0.6379196418994675,0.7837737910320814,0.7972963858539959,0.725918115887651,0.5154196351587687,0.3780134261972194,0.2588309259717588,0.3245103160209606,0.2437424623290877,0.32024707499502175,0.3991265896938083,0.3566344164931382,0.5714441083756112,0.38859211741015187,0.3888321772816463,0.3389520707405568,0.3202962121124372,0.25993398944140583,0.2729669241631808,0.3970273861514469,0.39413660666732264,0.45386846272062253,0.5347478762534194,0.5354945411775679,0.7362221557708556,0.7395295551678435,0.6714257155910706,0.5846575457451119,0.6217847547512004,0.5763993303131182,0.7298701653722677,0.5496314849439782,0.3588050816362999,0.3543852939889533,0.4940950467799356,0.5587600547584656,0.4571540704469613,0.3888847293764301,0.4705127854501922,0.34523584385285055,0.3249845365566435,0.3399322068136959,0.266129896445778,0.3173784159883514,0.4130237885275953,0.4840293762738975,0.8053174567183102,1.4659732844184252,1.1563907757626113,0.4504023430357797,0.3250646584123843,0.3342056969034479,0.3096627998518757,0.3542087305148114,0.37037829343303524,0.349016542144427,0.39705255878055173,0.4193326413483483,0.4498841290345816,0.6216814889447048,0.6205602960829607,0.785802120708396,0.8822527932866755,0.7876455309384104,0.655956483518643,0.4900306865525103,0.49470554316210075,0.39916582547135476,0.33679942497964643,0.35460429084798817,0.36383690757359816,0.479882007458865,0.36205672691423707,0.3753137324940359,0.6412695843291616,0.3995577844627015,0.4994254419941985,0.5825103247100862,0.5601283502819067,0.6344805211540333,0.7451579119997623,0.8899738773131153,1.8219497954468094,1.0253524292664151,1.305758270050981,0.7583908822735094,0.8059022522161774,0.8365825899184862,0.7769734296767569,0.9402626716607857,0.9453950311243617,0.8685214695768547,0.87936852065845,1.0249792038490306,0.7155334424379804,0.5770598243896661,0.6733207209152854,0.6510942611898741,0.5368235803794436,0.5111345900722901,0.6676335268914619,0.5749259543261616,0.5762469903599549,0.6158444910896801,0.6519521655966982,0.7403246670572822,0.8648362541999758,0.8943066422037744,0.9364728158248219,0.7879903772954927,0.9596340017226952,0.8049817486874401,0.704506682028243,0.7167156843579526,0.7195069294581654,1.4944888774329963,0.875171600596517,1.3566757028320242,0.760907252880377,0.6234063657598722,0.6411897435219305,0.69621047552967,0.692152962699167,0.6732312848858883,0.8024122847378032,0.9336118652992247,1.015052201156909,0.9760779883359761,1.29990587273403,1.3929523587559967,1.3501739848560532,1.8739564419661001,1.1068558651045013,0.8849415739492943,0.7422662534485506,0.6464248576406639,0.7465943361262133,0.7414661780938242,0.7939823394165503,0.6548489420042508,0.634730525307022,0.7545450442339712,0.7087316454190764,0.5783710242341588,0.7771036398114465,0.9582559357483911,0.7231391641801136,0.7225377073027164,0.9828378190063652,1.1001504839933385,0.8185630607960079,0.7993115798845196,0.6792901501797189,0.5901147933026532,0.5308904358762335,0.5366444776694277,0.5858257351356774,0.5499866226795216,0.5852939661268814,0.6540900996465724,0.7096126658031034,0.7247361423271476,0.8181265036374006,1.1061220942773433,0.9553285830487703,1.0398934864605185,1.0863218010995161,1.226280670520527,1.1945858687308195,1.1424574123884985,1.4345359475854944,1.4422943829117008,1.0662380920347205,0.9348115198197287,0.7619331401952631,0.6262469227624808,0.912508445309161,1.1338328365513983,1.3878416188734537,1.6679987474595028,1.2135657691095028,0.9590151747091988,0.8463466771805176,0.6645426212121472,0.5261374202523228,0.48320045599352984,0.504712554391468,1.2578436429073978,0.5606394650489641,0.583503637702336,0.6216224390007438,0.8707238456021379,0.5525833241120036,0.8270127224641888,1.2189230765252757,1.9230558649923797,2.0993459201793243,2.4783025082383774],[0.5620078543845672,0.4477395127701172,0.576996549857751,0.29768988817518743,0.45060045127554516,0.33718786496202263,0.24737892896057426,0.2858234958321516,0.3851866696070336,0.237812060723517,0.2712759106093348,0.38506881138714627,0.2326390290337479,0.24164949570585698,0.3100997772948364,0.2640182254797214,0.3376272081626113,0.29569846810576544,0.3816624061572997,0.36894358552311235,0.4202339789998135,0.4897969135880126,0.5709263578547376,0.677094496169872,0.6732008223321796,0.511873284913489,0.4065772811849653,0.31981756632817604,0.3086999366625889,0.28931702046157304,0.33194562645821,0.2946721270605578,0.4177722213823959,0.35974267860181736,0.315282841704538,0.2975408958561794,0.30907950770371734,0.3107997627557816,0.321950358914876,0.36912256900289975,0.5099168281045867,0.4187135199746875,0.43293112659950755,0.5982554925007715,0.8094583330826173,1.2872778553664637,1.4057537059635457,0.7066387217912502,1.1328396556989582,1.5305084114303416,0.8513887641088158,1.086498494934428,0.8311653582445853,0.7460887369133363,1.1963770733455865,0.5991535676983846,0.5226135623808723,0.6422777253201172,0.6939771846513232,0.814588975454064,0.5356274800074363,0.5407372220070975,0.47705573722115435,0.565016602468153,0.46538348750896263,0.4205653277374662,0.5963047984714447,0.3782082163856802,0.5271838280270623,0.6076219069346874,0.7134087327541772,0.9435383867967648,0.8027440846438514,0.6957154535047974,0.4860111034858083,0.7997520056303994,0.3753506204985402,0.38146809378769275,0.3447707667769601,0.4132475126150144,0.372912578346822,0.6402929621002796,0.6547950207662626,0.4783006763147496,0.5524013312876604,0.3725706304803685,0.3502216978763991,0.44420119770683886,0.2921941335354859,0.3847222625487783,0.3802080734126782,0.6556156476297411,0.5172734247205942,0.3867595436160644,0.3637882880731034,0.48438703774259023,0.5409571889512373,0.40364401692064944,0.3867406369338572,0.5880537238735024,0.3734890647389149,0.5232027448961584,0.34557339523726605,0.3911754549934139,0.4681743093787853,0.4381357833865172,0.5240333795730029,0.614477141688793,0.638065484701524,0.6459471699953829,0.37593496114894304,0.2867782189253409,0.23131203885193197,0.26169237760209046,0.21421232410865876,0.2599821301509169,0.3638697582556455,0.29879607140939934,0.4934688013864278,0.3635892943980238,0.34788142933169525,0.303031001326003,0.2879079368909192,0.21735215291968601,0.23512725549837507,0.31239072634629705,0.2882742485530654,0.3356169937504745,0.3737719263069226,0.3933444191983618,0.526548511355032,0.5299016184144615,0.47216006557362217,0.4344779443627506,0.45571703297892174,0.44987851433661497,0.5788565953768734,0.4147223212717971,0.34870237976941904,0.30679346387884826,0.5234994346386085,0.5178220574183224,0.41269220225866277,0.33895690550147334,0.3901944587539098,0.29837535281099253,0.2667009271947936,0.2960078750230163,0.2315383576636275,0.3412245025095121,0.43232935908208564,0.5313655787927509,0.804578341650813,1.442110199306528,1.1854437712217527,0.47538473217253624,0.3419701885651432,0.35865777046306696,0.2833813935113489,0.33079726049999275,0.2967510684959829,0.29622865793087927,0.32530610381404457,0.34976871344571264,0.38425244964013083,0.5376227048305373,0.4858241019176462,0.625312775736674,0.7050241889439149,0.6396317112431851,0.5048679629633717,0.3786160644979023,0.3886979601368802,0.31498270636115083,0.2753153316390967,0.3059016464015938,0.33208711623778714,0.4621730031004904,0.30249600516987724,0.31705179660976907,0.6460894219296248,0.31499414104119294,0.382175701207303,0.42946676798118616,0.4123399479706205,0.58136135601231,0.7227686056285911,0.8361324621755619,1.7759545194193616,0.9305112300981147,1.1790618890438196,0.6788613205337036,0.6509085437140649,0.6756809283309555,0.5656835937339347,0.6779439606230978,0.7179064167303828,0.647864968142699,0.6579080605450025,0.8409459730030798,0.5329918951858419,0.4518996603606864,0.5113669510771898,0.48079949390065035,0.4224987591003573,0.4387373134408762,0.5847886095048329,0.5001971645674047,0.552908174684345,0.6132742771288809,0.6482985155811133,0.7137197107645433,0.8239391314011905,0.9034150756954391,0.905249987242082,0.7691508227664553,0.9375404224443045,0.7342484986686039,0.6408805346896893,0.6782604888448743,0.6314818393108944,1.624148007711215,0.7846894288909482,1.2861008460259342,0.6421037752761252,0.5218767060157586,0.5502683014956972,0.5916549539969916,0.522982348802302,0.5149134220376013,0.6612956585137467,0.7573766638978827,0.8126909682799388,0.7495100899929725,1.1159704445927814,1.136052703991599,1.1000233221472342,1.666593259420109,0.884852388887365,0.7026324802812196,0.6129708558227681,0.5879085071040149,0.7438313460456605,0.729965222001841,0.7934719183562886,0.6463315314241636,0.6197285472637319,0.7467677920587245,0.6624755236575655,0.5456975395794194,0.7575681325312351,0.9178037499872663,0.687961437477589,0.6836861637075615,0.9303813420350437,1.0365886613232145,0.7746423215486686,0.7519448854705217,0.6483073172143864,0.5596293689229026,0.4974667560436895,0.4802043992673115,0.5240836081813843,0.4888675719569931,0.471715726183195,0.5297645941029149,0.6075009486840778,0.5645787247639832,0.6300495192496961,0.9018939067790948,0.7757919553220978,0.8055526846448858,0.8597388810433935,1.0076875605772215,0.9660679462440641,0.9210384331092933,1.2384784406264715,1.3085592392545657,0.9242773490496029,0.8029220754952529,0.6637654386732154,0.5986201620321978,0.8322390023530526,0.8803185064035037,1.0880478731126635,1.3751284414657992,0.9793472531975971,0.7636669533688858,0.6294359726822675,0.5008418161469089,0.4376229676046651,0.37569531555827856,0.4295954019385671,1.253912750739641,0.45156454806405727,0.5699064495090144,0.5509758521053951,0.7975819959764955,0.6238896950844102,0.7865397151099486,1.2931180289800162,2.255926987006197,2.594785661688474,3.116517777288454],[0.6154342705192574,0.4194376593024226,0.4614238385636002,0.3168594312851964,0.46257107758729876,0.2958242843344807,0.18007446981166841,0.2555034137874565,0.3522169365780763,0.2719245453096788,0.28843150131282025,0.3838194346392097,0.3056392403503959,0.28371210186309814,0.33893067549748457,0.31995781681519925,0.36112357649985305,0.3607421616576341,0.42017689508750533,0.40831766251311574,0.4258788920475595,0.471313215203865,0.5709810786478017,0.6706142323764493,0.6857734192648842,0.514132574133744,0.4356696974448529,0.3695166686137628,0.3748750756685195,0.35818405057664315,0.36683982056155495,0.33117277713028376,0.43647475512618444,0.3934148235657615,0.36433112563068465,0.3530142100385199,0.36003968937746,0.36525944311598185,0.35991517132593326,0.38135256760401237,0.5115622705712233,0.43554653402787524,0.4263936034906132,0.5808260034153692,0.7820710229187394,1.2906888555412672,1.365236645043656,0.6750098716298111,1.2034952502135758,1.5542613576756465,0.8084923319740428,1.0114356655926906,0.8233237015692927,0.7222024043376397,1.2104952057279725,0.6092273548999322,0.5182107959014172,0.6414238233857027,0.7447257560330657,0.7717051780381348,0.5576393649927549,0.5561213958644867,0.47478287019231297,0.5520248164208909,0.4707217256786279,0.42925055794840283,0.6145396154597618,0.4130679957386126,0.5534941741753727,0.6144309809470306,0.7305147325238966,0.9477797311600799,0.8495377343405608,0.7048525805571837,0.5048237306113357,0.8121633944132718,0.3854074644684625,0.3965715192852201,0.3678324743983837,0.4509680750552738,0.42861669176602607,0.7237448078821106,0.6492740083352538,0.46310092440910755,0.5438512302102384,0.42755015693010573,0.4055940169757089,0.49109884038330903,0.33972278689553875,0.43241328923346817,0.3975170673611699,0.5969694714078173,0.4831176653646904,0.3864931471130554,0.37063339844072896,0.4748580698800552,0.49651720426684615,0.4074749294240975,0.4044530554067283,0.5965025200544801,0.41035984475217646,0.582470794310648,0.3895512277365545,0.4331588999705087,0.5023608570028151,0.4533505177332346,0.5526221826672242,0.6089754738496165,0.6411714056510562,0.6501420271833528,0.4206748822421101,0.325606683061607,0.25285731945778106,0.342388123091381,0.2800038145174882,0.319715798452271,0.42420101736497623,0.32174607915767633,0.4668818955458651,0.4103562361780738,0.3798485435569976,0.3378218768366857,0.32014157712342156,0.27511192922210254,0.30871690777871236,0.40320878244171476,0.3758386859864509,0.3832608636374225,0.379460929584971,0.3736381956662025,0.47187977978028295,0.5123701912928981,0.44246759348021036,0.43188663575400277,0.4345021965962258,0.4238306094655304,0.5780923224463996,0.41562523002315,0.4267553146148375,0.3416398407357615,0.5413099563670368,0.4958041788318913,0.4148451378594123,0.3645381517327181,0.42172034232247346,0.34118247518215855,0.30665075201612074,0.34493084280831965,0.2775299200715944,0.3483851372083672,0.4404831244662818,0.4914518133235623,0.8502486321933238,1.465893740268205,1.1128204457168545,0.4538982020224778,0.35411848732267226,0.3763514283024626,0.33303089287974497,0.3786964372657294,0.31885181508923616,0.3170469370580588,0.3210192305060683,0.3370514445029864,0.40834480901549564,0.5547557932738533,0.47257412860716075,0.6244937487038307,0.7048268510058832,0.6459382852915212,0.4962889132639335,0.3808509146669456,0.3770984994355462,0.3182614924502269,0.3027906960861421,0.35730269477610105,0.39282109385973507,0.5545116575626551,0.35060455795700296,0.39733612470296437,0.6178646747995801,0.3419861282961561,0.3976604762109324,0.4416945512635316,0.435601492154893,0.5872012870397281,0.7270632313906717,0.7899007840331624,1.7458950272853653,0.869187648843187,1.097092927493002,0.6539244416531514,0.5846845564021833,0.6210808824949323,0.5033359065366301,0.5836296041886981,0.6212997033195775,0.5527344189293317,0.5559190798679899,0.7393783371299908,0.4456624923315806,0.41018995139536135,0.4614541128032253,0.41918979634134695,0.38710976786099593,0.4225700360353687,0.5670636070169961,0.46837912523554714,0.5716235739739237,0.5771491688849602,0.6024931258567157,0.6937463251066669,0.8142764854995492,0.8541750047525173,0.8334073443869919,0.7039315629568658,0.9026644934472877,0.6930519122489289,0.6021411612586054,0.6589149477103604,0.5839732011271234,1.7212251192301287,0.7563029276798349,1.3203182989125726,0.6046265411786393,0.518097543015998,0.582025021783948,0.5699567163433173,0.4834016156571629,0.4797674687751031,0.6540265487990483,0.6685680373290732,0.7472786536420317,0.647925631941032,0.9615606385930932,0.9525762478330667,0.9848934052953308,1.5076144572536818,0.8096387847083095,0.6202701935115126,0.5780268724244308,0.6274701989197567,0.8020614249009901,0.8037840968355998,0.8338188646545633,0.7172199545814796,0.6848946411062873,0.8477899355173654,0.764697513855519,0.611830106398871,0.8587078747069954,1.0203128454179713,0.744709152194694,0.7487897731324169,1.02111489539613,1.086300201899054,0.8042308498368776,0.7972142326217094,0.6806897974253286,0.6069373696652033,0.5493905336640919,0.5195402938746994,0.548240054714712,0.4871970678931178,0.4507884602924316,0.48577342464687284,0.5618718405169076,0.5000234622237499,0.5407218545659009,0.8375327690362429,0.7202549495307259,0.7253367996028044,0.7762943358439933,0.9533817100967086,0.9242496813405603,0.9038233225092119,1.1103548807087822,1.2249525533812777,0.9125822293920303,0.8019454281042684,0.6515628867929663,0.5654194766013603,0.8759461785945172,0.9513547382520792,1.114822401273563,1.3532520319082855,0.9118204390741963,0.7413221856578617,0.5582918786074325,0.48919219081993287,0.40669356503117166,0.39204169591810595,0.43901259852119584,1.336129371426238,0.45840565030456476,0.5472193999297346,0.601643221959611,0.8268424906635258,0.5990884306354064,0.7752796834459147,1.303857250918066,2.2241140738619136,2.5470714418044333,2.8289154094746434],[0.8680756449258368,0.49744743676626657,0.4970865064111568,0.37932661508791654,0.4452712806986646,0.34884429075755874,0.22976944462718132,0.29849838564606884,0.2958863781286243,0.25233870331537334,0.2878480995963942,0.37859678001561553,0.29136073849510213,0.26653775065877733,0.3709728080373009,0.3225506821430432,0.350544195244604,0.3664519254959574,0.4253765477900566,0.39509088862164776,0.42281530193296485,0.46059264472745937,0.5046060352529268,0.6193853921659669,0.6099437329204004,0.47499500050879007,0.38982068442765133,0.34310552625167146,0.35488682887988343,0.3487689444795813,0.3829027987701291,0.35270832777867633,0.4625508437998072,0.41130212522096976,0.38386636338507973,0.34011622671826663,0.3544057113701735,0.34912787550582114,0.3248125893344014,0.33843982103102377,0.47220732478980865,0.4082809994639106,0.38052256706237786,0.512241179624527,0.6762976903228377,1.19751893034549,1.207299208818781,0.6098888957551801,1.2532084400683552,1.5224875952374435,0.7433064938919084,0.8763301252187154,0.712055956068587,0.5809082620219023,1.1162495951728881,0.5470567537994812,0.42343245222741915,0.5818606355358152,0.7336478659603751,0.6928128837971015,0.5225147930708423,0.5577688575826119,0.49889819900159227,0.5402451849589676,0.4495114878916446,0.43125984055647637,0.6188718150280285,0.46027908233597536,0.6014024167538858,0.6393747702113142,0.7383843445266175,0.9979718215739797,0.9173162652599952,0.7442704354956245,0.5381717893102347,0.849880251332444,0.4073340100060174,0.4237043998150473,0.36635856535359085,0.44961266263622807,0.393007221733741,0.6278598311537773,0.734295506076336,0.3818509626974591,0.4855939909132694,0.37798676630430805,0.3629500484878548,0.4709381545063585,0.3247046387701799,0.44097964124326094,0.42630127007465446,0.6195660703245713,0.5134442557368287,0.42145383383557866,0.40089516737370146,0.4995436503324839,0.5172752717432427,0.4169625287444505,0.4234336430444243,0.6474308440482098,0.44229063757616344,0.657135478567695,0.44332999068998985,0.5078537869473102,0.5115738774083882,0.46982631335020963,0.5812535566538556,0.5197107856624722,0.5488513190700995,0.6310132580375709,0.3690037477463043,0.3021183369496686,0.24427087324951555,0.3160527183456236,0.271903295822303,0.2932532392483175,0.3966930606647764,0.3008322216910196,0.45970932803887454,0.43291925150132804,0.3724059372570835,0.335040637840623,0.30633134640446275,0.2762121986481307,0.2912173844341724,0.3604989846873095,0.3627278321136703,0.3544081011079744,0.3229212656764969,0.35484268904295224,0.362571638394005,0.4111645964618877,0.3520440346681767,0.425199018206871,0.3952985147131947,0.40064895942923545,0.5551671358178224,0.39241377378956255,0.4828070082111235,0.34886651135585234,0.5335882716686196,0.4591356013538801,0.4007305463275636,0.34398615959668605,0.32946326377707474,0.30036872734588077,0.2648160068823314,0.3279143191066391,0.2948743050604625,0.36883907153083906,0.49153549164653904,0.6056975905800472,0.9920827717438053,1.5985885126432287,1.1974466613389732,0.5606805408303762,0.41581234962255204,0.4710267365717459,0.3569497462363333,0.4555790577964524,0.32951036768687153,0.30396493711315026,0.3121331641704056,0.3164070787154948,0.40458077494859424,0.49516185802921114,0.41625654766805603,0.5301741569190073,0.6254368240693878,0.5774393245927064,0.44346528987823225,0.3542443234827222,0.34668598546355744,0.3286819136187631,0.3058152225491119,0.36938110470544294,0.3813007100452539,0.5769772914640235,0.3431172414570563,0.399900760587961,0.6261957881876444,0.37075153079060513,0.3803704603495693,0.3860797774268305,0.3617084359432685,0.5357447335915645,0.6763498727867666,0.714814035039473,1.6894731463530934,0.7929330725296919,0.98288052065895,0.6172233466733441,0.5356561374712285,0.5662697751398941,0.42191656570229147,0.42888788383406307,0.48903832280202053,0.4279748358422418,0.44569727732027375,0.5813770879280037,0.40318145029642055,0.44425210576856744,0.40737391919633686,0.4044451799184903,0.45313453235965356,0.4815814113867819,0.6238355824158767,0.524823207410333,0.6482666592517564,0.6058920065227422,0.620564298162749,0.6896135539963838,0.7736503468560213,0.8376024802649437,0.7820753657053318,0.7180709064826177,0.8983563803674031,0.7041028690500823,0.6207388731854855,0.6791433494980711,0.59890652266726,1.9096983775946428,0.7763235841656658,1.3748991665760297,0.645401527680085,0.6224191311548848,0.6878999287920059,0.6926649423145825,0.5408481069006865,0.5529184733136041,0.7288384051059342,0.6805925463667872,0.7178051175733248,0.5797578485054576,0.9060479230402178,0.7455997276452127,0.8402063751863273,1.298145589776052,0.6805556873287695,0.5365405613789943,0.6357595426480522,0.7852297364760402,0.9733355024754176,0.9528298268621636,0.9858984382161714,0.8815169868680259,0.8414699527068201,1.028694180645228,0.9032612702613326,0.7340472409372463,0.9741159942448179,1.098128286451684,0.8100933726742752,0.8368239957489823,1.0855820489015469,1.0796352551563557,0.8305141884941223,0.8460197448094718,0.7337619913350583,0.7087509578877661,0.6729154160660628,0.645079831693768,0.625201326843407,0.5554159226856354,0.5250132558530649,0.5130473903668813,0.5728739736050276,0.49928978938682234,0.5147476952234508,0.7703672808296209,0.6992064263944952,0.6372805026520955,0.6964798850240986,0.8586780831393684,0.8370852578321257,0.8560735588309961,1.024608355434122,1.1966312428769446,0.9332616198174061,0.8163170252656868,0.6762399513545597,0.6185737960206672,0.9121955436113879,0.9142475103548574,1.0279825237021183,1.2069315924520931,0.7876888598909131,0.647433722654173,0.43664626598644646,0.41869717708625537,0.4033811231509996,0.4372509124849952,0.516457264571133,1.5052252321975697,0.4593214782910209,0.5803760151835825,0.6988834512549131,0.790881820343425,0.7241589804594916,0.8334862376606038,1.684847933243156,2.779122982623917,3.4516775881004924,3.824289919169859],[0.9854392011158388,0.5606770987192315,0.532329804702424,0.3974304123366408,0.4669373223215195,0.3302136811032984,0.20690346224605277,0.3451983710182252,0.31438089680932113,0.2843890907701751,0.33718709267336333,0.4376858270639596,0.3275984295894811,0.2802146637972362,0.4219889172457868,0.3715428131766584,0.37921766797082107,0.3961275453894226,0.43848028636361724,0.40516219353045907,0.42608241676357944,0.4861105138434103,0.5000180053787264,0.57725138476403,0.5826848740300833,0.448131762697962,0.38224713797525595,0.3538632898126422,0.3845204297267794,0.3779499380722275,0.42608899666215416,0.3954821780208647,0.5079983261998793,0.4459053756212914,0.40949019935792735,0.3671144588419519,0.37344600282070145,0.36643133411950163,0.34239398553794786,0.37356038771796923,0.466603221078139,0.4580244780669152,0.409182533168489,0.5462292040989946,0.7021651535369833,1.220091363563274,1.2046591501684498,0.6393894325600399,1.2999767666725088,1.5526034548117362,0.6944836042420772,0.8030018677563616,0.702980135361783,0.546289351547687,1.09565436681323,0.5741932412006173,0.4326403453941186,0.5809801039992162,0.7645241528736773,0.6549988965546025,0.507958445864505,0.564167439386826,0.49456101367408795,0.5378863347371312,0.4430816016387528,0.4212868168708339,0.6203963449699058,0.489166008702959,0.613087537462156,0.6620016536856204,0.7546816126448257,1.0177627139924672,0.951218542413183,0.7497130275454461,0.5645478807808301,0.8241801620788388,0.4332928394707007,0.46230414478778253,0.4019518479637862,0.46472042414317793,0.4267754465856386,0.6261267213722526,0.7291985781564526,0.42983369665421467,0.446746097942495,0.40716843077719744,0.38647318843011214,0.4949812686341063,0.3539648916216944,0.4673032831545413,0.4329287770043736,0.6707431745656658,0.5576938681981215,0.46098789386434186,0.4496360352141903,0.5370596601959526,0.54898042396485,0.47302986776323497,0.48379598510575833,0.6906853274198824,0.4869075056554962,0.6447857147405787,0.46622199091679895,0.524416992236552,0.5213657497951397,0.47071175079592487,0.6245502545183622,0.49800731242182034,0.5392673573774475,0.6575356816621721,0.390384560812312,0.28444057134609596,0.24630325615322174,0.31499008846942816,0.2765140337897757,0.2876156889376259,0.41636734355029437,0.30316503473687084,0.4317539944792816,0.4515848109761262,0.37303460157837603,0.3501349740234457,0.3149761353101625,0.27468390342417803,0.27117265667923696,0.36975433770440147,0.375696085453538,0.3559003267069352,0.3171131671065766,0.391899117406136,0.36372911626480486,0.4195574720871748,0.3538945336141623,0.45018019856323654,0.4019779778839105,0.4062083570716576,0.5544267775924687,0.41169457872889464,0.540749885635356,0.37650630851633043,0.544254321328288,0.44948078720466433,0.39948026948475573,0.3399279329927682,0.3301712785954245,0.3115982202515138,0.2730762001544822,0.3138944041207306,0.29252355078326514,0.35891004637124596,0.48218579528576216,0.5610736390012537,1.0092670157721357,1.5379133884553038,1.0986042573892876,0.5711792520422548,0.44363246500387066,0.4795261891718799,0.3832150092037536,0.4656140738763978,0.33235221717100855,0.3204199249631385,0.30343299037772714,0.3080377989731475,0.42743018055397736,0.5321460757177545,0.43718262016078346,0.562002185198036,0.6759371556409165,0.6106834316715742,0.4597085874391819,0.3689356076067144,0.3513656168618214,0.35613692976117617,0.32909912653926227,0.38083023557145973,0.38842545132387085,0.5959800930139721,0.36623847468732107,0.4298300662685984,0.668282876441929,0.38824786982442505,0.39042318601255016,0.4177829586249158,0.39619962805024833,0.5689156950991455,0.6913315289991471,0.7008491275084424,1.6581908581934057,0.7491243194531716,0.9212899695593265,0.6142024624757431,0.5352198331167565,0.5575484771573156,0.4242419774830053,0.4052527533751389,0.46454266620312196,0.409581388952574,0.434302853092866,0.543006303166466,0.41735358572015185,0.4782461624678383,0.41383010336667325,0.42078373991780016,0.4891490220612686,0.5050036285869076,0.6382291211880134,0.5412820579417427,0.6811149813182024,0.6028567557057729,0.6238113952058554,0.6869884969145751,0.7605846594707169,0.8411886539073271,0.7690940020931646,0.7373661010337136,0.9110450953089555,0.7381590447300236,0.6380204228989605,0.7021289977557502,0.6212095581542637,1.9535719614741558,0.7960951044478167,1.4286403362741789,0.6847274877545505,0.693046694336626,0.7578977780099233,0.7504776892867303,0.6139050740560084,0.628220640701698,0.7988030501063582,0.715570057256353,0.7603774444891396,0.6068894784662293,0.8856450639747365,0.7083655381571758,0.809463885418843,1.2106257517883063,0.6853997343133342,0.5212964251674645,0.6680561424011099,0.8497922402888026,1.0369035761365728,1.0447187201071324,1.0470048853526097,0.9558312329411163,0.9269084822994228,1.105791505527666,1.0009941483982796,0.8096271832247656,1.051479691278504,1.1761381429410784,0.8682824464900214,0.8901816805558407,1.1336924622271694,1.1057875055076554,0.8488653422470128,0.8706029454120578,0.7651834450400168,0.7580898573963569,0.7414594422943336,0.7075727551384718,0.669340530802294,0.592210969231954,0.5742184998086606,0.5497544291198958,0.5989067377261791,0.527840590840114,0.5398058817387132,0.7689189137404883,0.7075583336738265,0.6398848993445749,0.6963350599991024,0.8432618601058154,0.8176419754098883,0.8616347162939331,0.9747384939914251,1.160408509882092,0.9659658234493147,0.8593723183721859,0.7134896513277194,0.679112351226328,1.0050328377078146,0.9741125528648306,1.0486960374944836,1.1647707898116468,0.7616623259462851,0.6534113642305025,0.4329583354761331,0.42625146425611987,0.4403207718917754,0.4872530496322499,0.5579532001189639,1.5317230465622171,0.47429867809323295,0.5885680520496016,0.7055395148046018,0.79887236295363,0.7144327566400247,0.8351312316578997,1.653930649186799,2.7110441850078812,3.2757492886025497,3.449695613891257],[1.1774969838481824,0.6766124285626758,0.6706712499462683,0.5133711130327516,0.6108408828131183,0.46231294231169684,0.38406434915682225,0.4257606901914665,0.34670961335253536,0.3507926372290441,0.3750727580284145,0.4589373587753381,0.38640104533502323,0.3512698741092097,0.49185758243651817,0.4243708822367926,0.4193249407610651,0.454350777944277,0.5066173584498066,0.4827586281129417,0.4943236972338034,0.5185705141323913,0.5490510656364053,0.6490760952264019,0.634862626496184,0.5351209482509247,0.4784079050134514,0.45628787780534574,0.4554572740493176,0.4620356877317843,0.4990648090567121,0.48894083758313656,0.5792659482179997,0.5284205509619452,0.4862996637863168,0.4436761846197383,0.48093695723565016,0.45905234279256857,0.4452396580349473,0.45860392831510455,0.5423567388263494,0.4960624308083371,0.46254784945507543,0.5633562040525699,0.6993890043992568,1.2281867153411514,1.1951921457789274,0.6689607403385146,1.374518539787126,1.5949176874640816,0.7817228615849969,0.8402592917302643,0.7356418599998232,0.5880450134544808,1.1029820010175366,0.6054844826692635,0.48562877086148815,0.620857398657713,0.820179123777323,0.6642752989771726,0.577421588286042,0.6344310561021657,0.5893534280277439,0.6107866232069372,0.5168689456251666,0.49419870885290773,0.6762616933836878,0.5555626964639354,0.6888388323000726,0.6994553985210168,0.799682340090643,1.0712769487127265,0.9927711690889578,0.8143825482297685,0.6161132854478134,0.9038470982095256,0.4930302182095946,0.5415168715293995,0.4834410370387107,0.5451127484733543,0.49726031010298194,0.6696417980376513,0.8330814672226202,0.5027179070197827,0.5495513104603429,0.49988210275741063,0.46509679763348594,0.5787253073752405,0.4365848404962921,0.5304717859559575,0.502241356494791,0.7083329544307455,0.6222225477377916,0.5535087308208257,0.522468904972242,0.6162951512903786,0.6082276142207153,0.5400652772183945,0.5644474834893606,0.822659427592241,0.5877150548521388,0.7788494748895909,0.6021527469117095,0.6474587870056907,0.6390565109901601,0.5573552649574028,0.7072734977611357,0.5702584089796657,0.6112488701909486,0.6948703312330845,0.49372199651054083,0.4136104930088406,0.37298221483279276,0.44702425247602334,0.40012069572178943,0.4296727256994241,0.5244228917936984,0.44681025890285486,0.502469701887842,0.511769927553433,0.47304263592411244,0.45413413515873424,0.43684986738915904,0.4368359093084224,0.4476094378991717,0.5163592279104711,0.5016578178842259,0.5070268208052163,0.4737077520030539,0.5406719650566646,0.5084469794776579,0.5450847185610022,0.5093921838370739,0.5910821382013474,0.5632720932211813,0.5550597860781764,0.6572434619665918,0.5844207009681694,0.6605867789268364,0.536150107108759,0.6705308333164336,0.5624487642496938,0.49732001522774755,0.47222482429298523,0.4297949639554011,0.4113892568035149,0.39625051102559816,0.414817762645036,0.41399415746255236,0.4529294217627893,0.5679802520422167,0.6671514511454498,1.1951522751215526,1.7618822167963681,1.200572596353876,0.7265187938118686,0.5628541614825529,0.6064468517019058,0.4940654469199299,0.6028197124586804,0.4820094009614612,0.4393302581169024,0.4268932020268715,0.44190730131963174,0.5726211877694188,0.6259840278812836,0.5876298122137409,0.6935357628976225,0.8134599767142403,0.7410952912768496,0.6091129016398719,0.5395277817408668,0.5069647668776617,0.47744827738212253,0.45139974127535154,0.5156816414688382,0.5096395128424419,0.7113505121943365,0.4835446504702974,0.5467683926460029,0.6954040061931199,0.5264596799127734,0.5342292357485537,0.5422657689108784,0.528852742282167,0.6541795040453113,0.7419702865367886,0.7511166203220582,1.693598090200486,0.7958045041683188,0.9748098564316328,0.7295129690347478,0.63648046415854,0.6553855168763498,0.5579337684785988,0.5307650527158552,0.5918847226751413,0.5359965209416915,0.5465748752152396,0.6052710581614454,0.5332539142809575,0.6008100777031847,0.524098364132089,0.5437142065196325,0.6100599532874459,0.6100641896820006,0.7299443265874446,0.6380132435060547,0.7727082803542823,0.6685194166715515,0.7011754741555832,0.7431346756113265,0.7869890918837557,0.8920030577104436,0.8301705509297478,0.8234635594319138,0.9582154449980007,0.8359774249148128,0.718889493608025,0.7842480675990381,0.7164838619831149,2.0713971272499694,0.8995808871234373,1.5325733182861672,0.7961188058059464,0.8399920045897611,0.9051141373895796,0.9093998412919644,0.7515372536264013,0.7865206097825419,0.9463741280622051,0.8359604804062257,0.8613010661451975,0.7080370808775018,0.9476686340174667,0.7410993557858968,0.8382059584975399,1.1516186148712944,0.7234267622608191,0.617169309446901,0.8090211483217823,1.0088916254381686,1.1969780308136808,1.2166062364855015,1.2118923806486763,1.1139925053951916,1.0828330893760607,1.2880793761125873,1.1672513252056127,0.9401224961000253,1.2130250370452205,1.325022592919617,0.9696530168449774,1.0266627300631939,1.2901737095396886,1.1891799107662986,0.9391408282040739,0.9873491213403555,0.8648195634794148,0.882652097481614,0.8840238603200113,0.8511320447280561,0.7803343031673248,0.6960679192940898,0.7057160228449196,0.6529449558004515,0.673979671482849,0.6250812679803972,0.6329742769136978,0.8195873115129841,0.7735403236792331,0.7081805523326823,0.7650551771397707,0.924978153138853,0.9053406536283222,0.9631827571792115,1.0480792514726534,1.2210788601902405,1.077863989580475,0.9943516868304025,0.8197343960897648,0.8195197228256629,1.180439482800582,1.112580306802431,1.1763988596217574,1.2440061308647743,0.8296741188260456,0.7561483491228393,0.5479246743731437,0.5580457898027306,0.5771031325546182,0.5966777932705142,0.6581053376046042,1.6128320984250593,0.5558344329849668,0.66365522411987,0.8065754664990796,0.8039212978840473,0.7746730414333654,0.9802340332723524,1.8710986860828387,2.9809027826528314,3.865610120877149,3.871111171066042],[1.0366245314926892,0.8693583172864586,1.2255587059389157,1.1508895844050941,1.0467229466617267,1.112427779507401,1.043834144060016,0.9463119047361049,0.870757249831734,0.8546333768347855,0.7724518859352559,0.7844934595100214,0.8067013385445385,0.7941100509445421,0.8526964715073898,0.8105957024194523,0.8926600853302565,0.8835357471297712,0.9390298916515188,0.9138025594477717,0.9799673732628089,1.0541252445380276,0.9020639276767841,0.9211452397852674,0.8184419415690344,0.936622066099796,0.9332989592371995,0.8966876709917575,0.8843035747885881,0.8420136845822905,0.8226086808667744,0.8055431197621584,0.8446803183335241,0.828168722232788,0.8137241597118637,0.8179234975863964,0.8364124228451869,0.8762523074192158,0.9244405160768443,0.9801562540318034,0.9538936277324548,1.0324002971732553,0.948478659245795,1.157891664335547,1.2727739440195351,1.643012684150834,1.5434964801436029,1.217182936037815,1.696065115936376,1.759418111632619,1.1317860490906662,1.041461438908682,1.1321395702724597,0.9403396408449132,1.3024773574343398,1.0887139054162032,0.9814638512252437,1.0468633614371505,1.2193207373143444,0.9852517055678713,0.9111124374526269,0.9723747206873199,0.9404588385969989,0.952830548097951,0.9203526359358798,0.9000805981964641,1.0277577929740283,0.9386265355254771,1.0519651998614736,1.0387033092701103,1.1392118201391812,1.3254640278255572,1.2591567501471048,1.1009891962903748,0.9377158914312179,1.1079056247512526,0.8653914090657338,0.8635828607450131,0.8283263222577272,0.8623362287413866,0.82043368766938,0.7492315868750755,1.228504623579243,0.9968048925162651,0.8542828031210814,0.8349021652130177,0.8539917996607795,0.8677605207125565,0.8254809987353959,0.8341743799170462,0.8340329382455101,0.9688219916955826,0.8873543048398947,0.8257920119134625,0.813383696017978,0.8834037810913513,0.8970203066552493,0.8141698075124831,0.8379229226733811,0.9964413579205635,0.8601959383706352,0.9859500830903162,0.880673501330561,0.935289117169591,0.9230146329460726,0.9069281861897053,1.0803257683285117,0.8301256927517233,0.8591242139058013,1.051402778089967,0.8701863803197355,0.8992149043966879,0.9536192424006953,0.9944375845729627,0.949911387174101,0.9799186451498594,0.9555951569578264,0.9991009625178698,0.956190507236062,0.9216750749411662,0.9172288440939664,0.9126039721433501,1.0286007337608558,1.0334489279750703,1.0475362979810559,1.0597729608900965,0.9993526038092945,0.9608550864615268,0.9589455556724596,1.0419394494984178,1.0100137308621835,0.9777133455837965,1.0019918171162467,1.043024548903291,1.0481333473549783,1.0665945135323387,1.1276077322529012,1.1389176304052455,1.3072082973553585,1.131076581605157,1.1924525984629728,1.131599707421701,1.0581374659743261,1.0058984192289238,0.9541825230753337,0.9149778629398321,0.9520994505933709,0.9370588529051768,0.9005275021754756,0.9248134884577481,0.9204406333886539,0.8881695655903203,1.3193066997898553,1.618719137488863,1.142893015762638,0.9227339239942947,0.8638348445812308,0.906311448019422,0.8542817539637297,1.018704848045545,0.9636094686404816,0.9459835330351481,1.0225839782247177,0.9289286553264323,0.9019114356651609,1.1909372012471982,1.0256033093535273,1.1002429437836847,1.1449372778092506,1.1289460867259813,1.0700309785942144,1.085297024878268,1.0122353534671784,1.048813912139688,0.9376159693878783,0.9102827920792612,0.8569374624943565,1.0107447058114525,0.8686167294259292,0.9529628350083347,1.296697957004593,0.9789172617572195,0.9563237564223737,0.9371270339432053,0.9650390044798453,1.0854082708513877,1.192531254446574,1.1181385941177278,1.8350382496813011,1.186459615746617,1.1786264266635669,1.0793105180321425,1.1113641475346248,1.0990697942417547,1.0738322190882987,1.0634211443981507,1.0373942373150926,0.9879969675300405,1.0053638510594916,0.9849755658788442,0.982252599095304,1.0191094877228044,0.9613940581740344,0.9881579253673384,1.0152531451370357,0.991304644190494,1.1654668074275198,1.0265208046234189,1.0929398572095073,1.0340342380624379,1.0928777270378982,1.0611401240231013,1.0578748774001892,1.268297019907195,1.1946701536138702,1.2177933783036639,1.237318741048716,1.2009772008724893,1.1048636104287677,1.1231063248442845,1.0990526518248525,2.3898953080107503,1.2113518867903168,1.7174695395064237,1.1667529581386356,1.2390105381462821,1.2896386505915776,1.2901639824184767,1.179209482415748,1.1731043664958087,1.3113591710014993,1.1946583026178774,1.2004674375765272,1.126923570056803,1.3390884170061128,1.1168245869945033,1.2319971326320136,1.4263645589068217,1.156974288372819,1.0518642971157508,1.1850913973088095,1.34194684842846,1.5514269730256436,1.587762467751968,1.5930702761060285,1.4848196329262024,1.4551160758711081,1.6536840094182228,1.5502797955565153,1.2736534784779705,1.5285406787579743,1.6118944119780572,1.245629786198463,1.3272937567705922,1.5521978353136792,1.370915518849756,1.1659927917907502,1.2212169148957057,1.141496741417604,1.2138141066272918,1.256322228205482,1.2402796133579366,1.1342801355455,1.077085547367508,1.1190635493866907,1.0714850791842545,1.0701408697774972,1.037069954761896,1.0660229995572856,1.1237775694272607,1.1224331117775406,1.0884546356882625,1.1056682451541704,1.2307212847656919,1.2245080464573739,1.2696711631650317,1.3221919349421438,1.4839337857597035,1.4101455736460478,1.3642880329555338,1.2188390879089348,1.2574223184756295,1.5313485920261978,1.4592472190654664,1.457492670623335,1.4577852245512308,1.1915256560913419,1.0944149955122078,1.0165094687240108,0.9861044058717854,0.977846224475829,0.9977608774833656,0.9742182762293746,1.594514992102321,0.8983609963966933,0.97637715648979,0.9862408409302775,0.9730676289647776,1.090372573540367,1.2943232851764799,1.965258389018075,3.275954103051057,4.184458863471089,4.027977478480518],[1.388601154851039,0.8394120669482871,0.8803288265094139,0.5150021243805021,0.5461607081926297,0.47428492962707813,0.36498766856744436,0.5290845777278845,0.3652343262433449,0.35842210831695903,0.4481129865073025,0.601543774697918,0.49406681702163235,0.3991323798371503,0.6643486694718105,0.6046943618641666,0.5222224543593476,0.5695353805734721,0.5882324137401862,0.5883243313476254,0.6308548676046335,0.6803499648324886,0.5966534348571084,0.6175876962226768,0.5470402529918291,0.527652133310589,0.4969178308374913,0.46112073997032316,0.5696955185683024,0.6264315508982113,0.6779287915662471,0.6991294223008047,0.825379990841884,0.7911366441155222,0.7326980658007365,0.6428716630136847,0.6994956240923165,0.6070602768744469,0.5662312847764571,0.6645693636188397,0.5775476023488239,0.6223506651506154,0.598410532514472,0.6757653897060047,0.7460726025850514,1.1909271476897996,1.1153659213855363,0.796663677104404,1.4700662436562004,1.6275774546427522,0.8732561840498215,0.8497635500940426,0.862680103899952,0.66796048625894,1.1891966632143962,0.8493738090850399,0.6655836515758836,0.81838333842536,1.0870959856871312,0.7535858399750145,0.6806098392287497,0.7965754540700056,0.8076382647430667,0.7998582576544359,0.6811607092522419,0.650678560398345,0.8163798254232837,0.7284308693622756,0.8099140389839474,0.8037967296819407,0.9474422646143366,1.2181168033236187,1.131796461208431,0.9373605337283322,0.7906051819402748,1.0515664227460835,0.7160876655801994,0.8143799756252383,0.7253682901331817,0.772196722663745,0.7702257848693604,0.6792397103595286,1.1617569004468133,0.8346263484430223,0.6352467963175505,0.6571342895400433,0.646757954081896,0.8139566653075665,0.6523057770215349,0.7647536600711802,0.7401824975889557,0.939423398193823,0.8475292874707152,0.8056214803035118,0.7280673693914925,0.848831470051367,0.8065054263275954,0.7628516633688015,0.7913125293784234,1.0903600373319455,0.8893393648643664,1.1121688347558771,0.8842133028725233,0.9403665596140625,0.9177881046856324,0.7974254115803814,1.011446680975388,0.718786425373802,0.7149379662109118,0.8937817999226307,0.6409706305648213,0.554904730756411,0.45031711556387877,0.4420486675013232,0.40313004838698874,0.3688799169451579,0.4636722069227233,0.39467186338601423,0.5283555334319895,0.5363887003758453,0.47477535495605633,0.4103972652030257,0.36075107958506486,0.3421456463581041,0.35173690020464654,0.42733017808190576,0.4771750001318421,0.5316422436573881,0.5857840045389295,0.7671276902985165,0.6411439614170561,0.7098716397208248,0.6632840261722737,0.8137868700132734,0.6779361901420103,0.6260872623696414,0.6906089166831575,0.5841412900419222,0.6824677857998368,0.5219511905614602,0.6005343957538193,0.5238588347745067,0.4976725480359412,0.42472582552247407,0.4452696086568362,0.48261231919615916,0.4415015658997186,0.5377862910530761,0.5568420635363058,0.5756374738666117,0.7632877147913419,0.8410917447849395,1.4724247586606225,1.8145096341453055,1.2207750791874494,1.0318865974796039,0.8372343715853096,0.8778318207924463,0.72680491367719,0.8895510193481756,0.6314837603812848,0.5951892555181286,0.5000108692489195,0.5230820389347319,0.5746261517004955,0.6392088089190177,0.5753688220249474,0.6311925360193991,0.7400622915450868,0.66973564522245,0.6032736743658478,0.5610191984508669,0.5847113980470897,0.69862070915734,0.6779007114892808,0.7834861350942184,0.7171534578174186,0.9950570816821183,0.7300324365606691,0.8107726108317576,0.9713205811988994,0.7882046329833748,0.7655470607773834,0.7243939937675421,0.662258481850151,0.7681298393837324,0.8557933876782374,0.8246137239170571,1.5906808779809087,0.8346960920570821,0.8970772354612184,0.7314920520514305,0.6901238125876266,0.7157774377087268,0.7018786343218965,0.6998402997311932,0.680266468483893,0.708576417208154,0.7058335923756575,0.7307961849233336,0.8326300562583344,0.9544346751872307,0.757254029728546,0.7640409518745471,0.936789518361973,0.8810443740911579,0.8711567553836109,0.8687294772979062,1.0758956516537066,0.8712794251052706,0.9140679206572642,0.9856945010880017,0.9898737260071574,1.1415113410376676,1.0748296379605757,1.0345764601630412,1.2096877074204377,1.043000811401183,0.9468670586049989,1.0571844049207175,1.0420746320860443,2.347737047284603,1.2323215998377004,1.8409818250384986,1.2120529562559683,1.3155322252004327,1.3615064252552689,1.3483322623539842,1.204437724587304,1.1788839541629736,1.3362599698773443,1.1915913507399287,1.1384137848111309,0.9992082350795675,1.2328088094060368,0.8760949144243607,0.9248257474956892,1.0625941703496824,0.8036381486187366,0.9009945222192841,1.1855086323418167,1.418467393719114,1.6622129920459667,1.7174636944476427,1.737598694431352,1.579387522282281,1.5740921374364154,1.8261982627660411,1.6553933637827276,1.3444509713461952,1.6495462155192244,1.710770046227513,1.2930263712736227,1.4290884509035482,1.6643864272013318,1.4297829358918772,1.216636790413831,1.3102648416771772,1.1912042737288766,1.2913359895393721,1.325256855843308,1.3120085182626862,1.175830829457208,1.0347769915618625,1.1026438847601707,1.0022945927562918,0.9498067401944014,0.8763119052181769,0.9405795298342882,0.9627782661141879,0.8916756253550957,0.8529318424381742,0.9274572799329366,1.0144460468277166,0.9722263038322655,1.0178211458156956,1.0937418488504407,1.2207522447620196,1.2560623750467639,1.1300101127298279,0.9497846600382363,0.9766038579441654,1.292326754780189,1.1756544127084394,1.1882639797344179,1.1561257047937314,0.8349558284123965,0.7407387843860046,0.671050224762038,0.5921379995335738,0.6922638102807802,0.8787705589364777,0.9691232471950177,1.6438011859926749,0.7524274517215289,0.8997637198849435,1.0495419789666451,0.9096631947618746,0.86184149900573,1.2841307514645475,2.0177849383396453,3.291139866506118,4.57815126338182,4.744198024454219],[1.24959332730997,0.692964335095904,0.7153620759654696,0.4444025239686908,0.4974597936492774,0.4057243885847234,0.317941081156441,0.45050934319406544,0.35232180900051246,0.39692755098117855,0.48789224116532554,0.5732018910979176,0.4997743282990406,0.45715449712169287,0.6376907308056281,0.5846777852010753,0.5383325134319016,0.5801040897770625,0.6219867919654662,0.6037042397632962,0.6416487945227206,0.6607717530426871,0.6456669965898827,0.7006624285345651,0.6141888308102154,0.5883694607672321,0.5253615373298198,0.4963744835595698,0.5590489300219453,0.600249237265087,0.6605949446783637,0.6588723065111752,0.7636871345023233,0.727433746938529,0.6718451486849697,0.6135268675868498,0.6387220603258102,0.5781128482837579,0.5628123501620568,0.6097174410210828,0.5738043841981773,0.6164961208343281,0.5953467155887,0.6416719260245439,0.7230624336405879,1.162801385255444,1.093696354219303,0.7511793259038033,1.4476162498662681,1.5813384276989135,0.8541336894521938,0.802773390628959,0.7952995876391107,0.6274445619080972,1.1924887389179881,0.7808072332475285,0.5993367267366084,0.7739511083553673,1.010913453162076,0.7204594062772056,0.6444815380978685,0.7374470368134193,0.7422801762684984,0.7761702003875713,0.6627494584454948,0.6392543307452683,0.830243090070619,0.7083456893470071,0.8227007179322828,0.8011312198596849,0.9511525899927012,1.233481550395273,1.1126828258012365,0.941605533075259,0.7552856987415162,1.0373463925403634,0.6568607726969244,0.7473538999273226,0.6676874909270444,0.7412099633239,0.704005187672322,0.6974685966583348,1.0773918649437588,0.6962288531677113,0.6231431870549186,0.6166819878958101,0.6013269720568162,0.7390244686747478,0.6195154251459974,0.7099350087190679,0.691858595497522,0.8744188142114012,0.8022803082489888,0.7497196974311007,0.6981579965175715,0.800912976603197,0.7770190596703651,0.7211647936376776,0.7318946398789561,0.9981634079265458,0.7716371782840605,0.9836461700325744,0.7926191671502213,0.8272090563586825,0.7897774127576767,0.6567996981331264,0.8378175459394482,0.5512841845183367,0.5639050838937232,0.7342664071174287,0.5008732513748658,0.45662725061267634,0.39535315900208107,0.45769849396628554,0.44905061788866835,0.435321974335389,0.5176537477434303,0.4580528319380112,0.6196202811576844,0.6062613307884446,0.5621854136638853,0.5052635874460897,0.45035033214081377,0.41913671466779223,0.3992602219459936,0.4257204553172646,0.4109944786528566,0.4665410695758073,0.4569358840899864,0.6262864435145333,0.5007099262349068,0.540039523299783,0.5437394282273245,0.7089572266646911,0.5938333614408189,0.5691350474703009,0.6332381612179564,0.5426987752454439,0.6439028974600255,0.5174821978799404,0.6086277524587854,0.5354207641924158,0.5173953788770349,0.46553342260116154,0.4530225928715341,0.4884073758015464,0.45083447939195964,0.5080660531697305,0.5269545662749575,0.5408059682556253,0.6963417983118222,0.8284602133407141,1.4284966636359737,1.9917484679088788,1.3234137484726467,0.9636082267130749,0.7554307102757782,0.8021338710879817,0.6723640765416484,0.7880969914155009,0.5719456360916311,0.5356034536806151,0.47214790877041096,0.5039641115601319,0.5703923014482509,0.6037090716638163,0.5677241822598047,0.6209653199460443,0.7168573153946979,0.6650741292357887,0.5750287975888339,0.5218565199165871,0.5250487203093974,0.5891949318341363,0.5971305599896878,0.6741171596459642,0.6561365383802954,0.8705999454921288,0.654443623167823,0.7132042211225618,0.8315766613316429,0.6704114997458542,0.6598259022237338,0.6344026160323398,0.6040438822886923,0.7456393304943736,0.835501300602217,0.8176774586894568,1.610866863028583,0.8088176177455987,0.9002887836439193,0.7488187125366865,0.674125692551065,0.6992086845932712,0.612938015219548,0.5559750679642917,0.5440344830825808,0.5204641116054415,0.5199476977854058,0.5423509327218654,0.5891211614040414,0.692903313989674,0.549328742013508,0.5698009050518015,0.7035496247467685,0.6809398650886676,0.7606390307954617,0.6907344004424483,0.8654784457825484,0.7207525355632978,0.7539034141520133,0.8265853878882488,0.8568693881615196,0.9741450645765889,0.9109539184805672,0.8802671929917009,1.0379292850551736,0.8812630951133106,0.784356692695376,0.8758852790023394,0.8259411646077599,2.2523155231540177,1.0144857105712033,1.6162157294762851,0.9452365836980943,1.0359664075381108,1.0890558413020976,1.104694051030494,0.9221009402869038,0.9140017384700089,1.0915270481794428,0.9491376093352178,0.8961730306889629,0.7441518483663201,1.015880651671531,0.6709499784804815,0.784921758916604,1.0403332460521175,0.6470067118959012,0.6570923033693571,0.9438117768591434,1.1778979393094997,1.4026197874015676,1.4256407512669473,1.441773087928276,1.3067269620500082,1.2755340047053074,1.5185059330138384,1.353264772401954,1.0812212746410685,1.3684372538308718,1.4414347212429703,1.063227916806179,1.1719005425444633,1.4237268218328614,1.2478640207166514,1.0296667823761256,1.1044479506509506,0.9810641171922253,1.037225219166461,1.0499206551090698,1.0355896687403303,0.929035447882323,0.809508431695139,0.8468649641927547,0.7724140787661451,0.7560544594304744,0.6768613901564982,0.7199662054230669,0.8155763250064857,0.7556965164780863,0.6828190564607575,0.7552323111179707,0.8785404752013672,0.8487453465132005,0.9051321574148732,1.0126359127913442,1.1909237296488913,1.0840955186603296,0.9915656851885866,0.8269470559813891,0.8286594469913432,1.149744598890772,1.0584105224852594,1.107034422583457,1.1491925015560776,0.7497619545225244,0.656905920597692,0.5105310849405182,0.46763753330537244,0.5490347920213395,0.687897681855155,0.7608550594182637,1.638447242490024,0.5770927403471897,0.7283332697227182,0.8998907389732607,0.7781885688225141,0.8209429650931852,1.132098760082817,2.0816858484566114,3.3341266117688964,4.600251934804759,4.938165187651416],[1.226284173672233,0.7150018778475224,0.770457771260171,0.45351581187741596,0.5096554699275365,0.4287060561686332,0.31614351299441595,0.4595612110290187,0.327926335787107,0.34031802668342126,0.4110571760895058,0.507735607930586,0.4180306411609366,0.36818259470242115,0.5922142000058274,0.5114896502305643,0.4762639294809136,0.5183253643961323,0.5586968986907949,0.5209470495031694,0.5571036162584818,0.5977312830162156,0.5594397749986544,0.5968843729424487,0.549632675260066,0.514743709792795,0.45422126169802163,0.4322614316340036,0.49721907107749275,0.5337529888916411,0.5828472367233173,0.5756435004613025,0.6783917658596629,0.6444102917974518,0.5952767676508329,0.5363083848931004,0.5777792700782584,0.5227881488076958,0.4978040956975153,0.5648516408701639,0.53737258587038,0.5632297272093847,0.5253520264469164,0.6096384483322784,0.6812171242066332,1.1472413818954919,1.0500940376471117,0.7349163673730104,1.4587022257415938,1.5909047108133503,0.8288075581388463,0.783862738103423,0.7993383861092712,0.599109532331747,1.1678473471450308,0.7634508546540321,0.5614114128364138,0.727837274129759,0.9938484612244248,0.6795861382290557,0.6068135793848969,0.6915189624893043,0.6848307400329559,0.7163909923994772,0.5862186681149867,0.5509468228670722,0.7368697059933567,0.6479377157527637,0.771445194793659,0.7603924061417398,0.9136100899902447,1.174232831914742,1.0766182210139332,0.857820081710412,0.6996149506241865,0.9665467180939524,0.5940347359168344,0.6848315569409797,0.6006603099520437,0.6595303714235563,0.6410058304873066,0.6381797474954793,1.015522308882827,0.676265971638141,0.5599724850871192,0.5627178581923823,0.5477735675106902,0.6829997100253442,0.5347247650223329,0.6359739702250905,0.6136840435375956,0.7956514700032339,0.7165307774851419,0.6550667672844817,0.6166280155031141,0.7271558193874809,0.7145086353082264,0.6314650433887484,0.6515257861021062,0.9226975174473987,0.7118535464935821,0.9350292776935089,0.7421072163293672,0.8113641084590806,0.7873773317915957,0.6718397565879198,0.87287174761586,0.58586782329994,0.5983393383478726,0.7642016172768225,0.5455563261785027,0.4680403261664767,0.3860070508306489,0.4180793152506498,0.37849763611477494,0.3623863394682003,0.4593598455847056,0.4037504951392298,0.5193525457176602,0.5258077096760411,0.46903499546193184,0.41022944404670114,0.383756924028303,0.3558214149203992,0.34651259342408397,0.40623905873349847,0.4381578350896514,0.48837765110923126,0.5080711608470765,0.6737902359785332,0.5712191297787909,0.6039330716777089,0.5950674293755527,0.7490549067862773,0.6292819846049383,0.5868004789410293,0.6805032054614878,0.5756148659979013,0.6829532069082652,0.5136950740102321,0.5986603239503295,0.5064930450732088,0.4713435021473753,0.43465214330024365,0.4172658315032825,0.4229494105385049,0.40197499096346523,0.46146438005821977,0.4886711249997947,0.49654394423763,0.6927350665029823,0.8025506677628991,1.4087988218155865,1.9585506229597753,1.2497802197550103,0.9000752224956358,0.6997391191730417,0.7697433994136259,0.617979893257822,0.7795386238904642,0.5656376443299247,0.4987717555387221,0.45519372784215345,0.4734201225317464,0.5554129369605337,0.607041704746336,0.5586365804023058,0.5994429688780988,0.7134457944888524,0.6456634024227076,0.5851131661689911,0.5308186302270661,0.5326939802708243,0.5976262210411325,0.5773903920099442,0.6562805884116407,0.6073190294677877,0.8427561087859912,0.6144816115074725,0.6915675197051339,0.8390818479150396,0.6813069574330729,0.6765947951395588,0.6476987639460038,0.6039973636853133,0.7293959328115683,0.8148889705913589,0.7825151914629446,1.5880677623365476,0.799849847332079,0.8664740172377787,0.7308862416114149,0.6659103228362178,0.7035561050956086,0.661436982272113,0.6347613570164082,0.6098560470226676,0.5866580123401265,0.5956583333115059,0.5985254094093722,0.6658552054877166,0.7515525361489627,0.6163420649586523,0.6428951107375966,0.7703931761708102,0.7462713138659337,0.7977147696478061,0.7481385549457794,0.8980563701226915,0.7751975626738412,0.7961067055739075,0.8623678539949405,0.8977560162228491,1.0420822493537152,0.9313689225541889,0.8963943019844547,1.0615595379538156,0.8886663784619524,0.8128743028317077,0.896808615575303,0.8456382136533372,2.3091804002836254,1.0126283840960766,1.6040142155600836,0.9852677700189806,1.0786554593945366,1.135952118496885,1.170101962162414,0.9854116984829673,0.9847254038549266,1.1629080482650545,1.029949592407948,0.9540757645846872,0.8203229482109702,1.11238594457074,0.7017116319259582,0.7974711770430485,0.983433088156204,0.6728712733677014,0.7169505998467653,1.0144616784254918,1.2362313406737366,1.4318669524275638,1.4271733261597073,1.4446238728992251,1.3403976471530343,1.2808819617699259,1.5001423847668216,1.3492172830695979,1.096902171849705,1.3393807853963775,1.3972102615053361,1.05823447337152,1.145146588868318,1.357813940919281,1.2107306240829605,1.0282416621421737,1.0918180633999104,0.9962860584125057,1.0419028800107921,1.0632577035216448,1.0601552727067418,0.9515671004971789,0.8508521080932976,0.9011227578988354,0.8220367762406298,0.8014892886626526,0.7435005986734952,0.7867524323403602,0.8384611374994024,0.7797772043372696,0.7379432700159638,0.7883178758899466,0.8790801191272488,0.8300905206585252,0.8716334091135314,0.9599950987403485,1.1478257679423334,1.0555607650364425,0.9423195434074317,0.8293876511977204,0.8375837504198975,1.084595160599124,0.9868201585467046,1.0123504015677354,1.0494575511919875,0.7298786126670365,0.6633339553276023,0.5855827935164452,0.5274346051903813,0.5987616030552048,0.7548622928472492,0.8125555905040808,1.656984261306013,0.6363081698528819,0.7759543754048208,0.9341295315474062,0.8084017052991472,0.8854150942037189,1.167423176415604,2.195414313973989,3.452990725270031,4.791829630077155,5.376135336719574],[1.1241483429675303,0.636596252910854,0.6614024210254434,0.4669923474169058,0.4768491818609957,0.400467564238061,0.30434025866919145,0.42398901641454384,0.28359626606317284,0.2761367138135479,0.3440499186802969,0.43790560757078856,0.35268412992720366,0.30502314531033453,0.5114457376343018,0.4234848697185594,0.40840700635505356,0.44591315461665965,0.49926437830610315,0.4584719520486864,0.48451224339750687,0.5209630530275995,0.5063602489051242,0.5638325450710521,0.550220994938194,0.47941526918969235,0.40097404054122565,0.38381792437752066,0.4297714289159979,0.44388681070127745,0.49091442431948146,0.4636274311208289,0.564089300121181,0.5199751157501895,0.48171788212945843,0.4376852525931891,0.47063068607901326,0.4348270682333474,0.41189126256539427,0.46403258013041926,0.493026137777956,0.4871398539398606,0.44880440231264235,0.5384745618623449,0.6408469663327803,1.1413519557559468,1.0644225172493393,0.6718412257716683,1.4222972877579156,1.5999455749236968,0.7834962330085504,0.7752172342136932,0.7151498879346999,0.5352233809245328,1.0933174574382185,0.6396784157920851,0.4784340159382406,0.6264772561349233,0.8596508750305976,0.6324415168270776,0.5359387952848971,0.6278621125575166,0.5906908866298795,0.639789690402447,0.5021310971741452,0.4775028449889535,0.6696146486178505,0.5630846482199263,0.7076502633888925,0.7104896042092113,0.8499362969791251,1.1114128779870749,1.015666047571729,0.7963224275164916,0.636554002171704,0.8683410555900724,0.4947946522243948,0.5474855749538288,0.4936108303871844,0.5496452611133192,0.5062029998664413,0.6095855982234504,0.9015507379289465,0.5398464950811034,0.5025926724349692,0.4798230302638253,0.4502766283896712,0.5710027689589756,0.43812845741007395,0.5384212168689358,0.49612962677987993,0.694415214680481,0.6060115422403445,0.5264702207659042,0.5116162089597686,0.6070430433336022,0.6205935186931221,0.5169376527012273,0.5340722421168844,0.7730147177107213,0.57736438078707,0.8090806169920445,0.6162012890651897,0.7106634680281841,0.691228619790503,0.6205478120599213,0.7727565064568869,0.5411459429476546,0.5593156395334855,0.7140027157848521,0.4912265911818844,0.410855133807284,0.33247886785549496,0.3683443194159629,0.32474196641138275,0.3117115314695611,0.4267139482310226,0.35296881126626933,0.46782860840856205,0.48464350111275517,0.42276086675415364,0.3600513773424756,0.32859640234127035,0.30500087724960734,0.306449408139396,0.35797234370526904,0.40272627536186234,0.4495241415158703,0.4446951780247505,0.5813542809411919,0.48134028599879664,0.5182939134437339,0.5119354859805506,0.6623094721198733,0.5495782470870019,0.5236037234242343,0.6433430051388234,0.5224415050731379,0.6403569588436892,0.46180410835036767,0.5629343215770354,0.4646750822152842,0.4255937890850429,0.37995262057631135,0.34627504631498546,0.3511809537955716,0.3309241825247628,0.3833482481516593,0.4221664230556038,0.4524728664760438,0.6402475557812328,0.7716473445175653,1.250925341566924,1.7949246676139208,1.2365663626892651,0.7556256131218358,0.5849960009514905,0.6651755552263319,0.5148994296594088,0.6721516138703221,0.48716973306389083,0.42056040150903046,0.38289121825095823,0.4002349394556662,0.4991691252790832,0.5716551773024534,0.5094248758497015,0.563646098935305,0.6618279833740535,0.6105240895932104,0.5292789142582063,0.47005739200006474,0.4599418423463647,0.5039912709628815,0.4760727171552912,0.5515554800707099,0.5135199855424002,0.7324481538358749,0.5106536714297031,0.5787972128579064,0.7509861778768374,0.5858752603883925,0.5849095728019713,0.5666941431449513,0.5306424782376491,0.6588011560780639,0.743540672396808,0.7297030316471596,1.5777730330886335,0.7685429406641197,0.8871206828394774,0.689320638516485,0.6274600653606998,0.6625463884011731,0.5870449993849676,0.5361295244761847,0.5341692904248491,0.5035434795830394,0.5067576928493462,0.543673463775271,0.566247679401004,0.6558124900718534,0.537515263079859,0.5458996437663132,0.6515573528747409,0.6464171080790954,0.7015297165225363,0.6379326879534519,0.7787741748911442,0.6819189314711525,0.6952949947605945,0.7450962662509737,0.7875979496700134,0.9330216343209224,0.8127698908834364,0.7664862081075821,0.9626310064819869,0.7475226010291408,0.7015503078553628,0.7760481548320017,0.7139077271133172,2.211740865298367,0.8966196815342278,1.504835356315799,0.861094867317668,0.9220048922141534,0.986042516998435,1.0267940067674346,0.8210328592901837,0.8327371376269587,1.0157118593649446,0.8974484939330769,0.8346246739835236,0.6958336424852887,1.007433585597545,0.6248585952395074,0.7476405202421462,1.0456689130688854,0.6303438488775853,0.649371263674969,0.8993603622600967,1.092314137647075,1.292009796894519,1.2630185858468534,1.2919520910154176,1.1894653813485123,1.115628650327458,1.3294375087585872,1.18502686531131,0.952848804872745,1.1705372289469371,1.24267167943458,0.9309525728843118,0.9890320357737147,1.2161579940475455,1.1129255781980325,0.9155643861720147,0.9579167639673712,0.8661528027660903,0.8971947265122471,0.9091971866393902,0.9095508079895835,0.8127472283591439,0.7339629043382258,0.7666454095123207,0.6980088156420418,0.7028627324998578,0.6404929452230851,0.6671681140448708,0.7641776691453347,0.7159193551484418,0.6546230914096518,0.7137784771347989,0.7755956698509853,0.7539208709279264,0.7988696908369564,0.9068515060242026,1.1284072840559147,0.9137470630477894,0.8092543810047176,0.7084284753673133,0.7089874776643192,0.9514796411808556,0.862723633635173,0.9049740653023526,0.9958796530550346,0.6626079392089272,0.5898041024731541,0.4917934133439066,0.4715159401229408,0.5327170626116532,0.6654781462636155,0.7232485115135137,1.6629419021404508,0.5965168350518603,0.7124060436098175,0.8661034208669351,0.7643916943077211,0.8483797270439581,1.0275902898502594,2.1004860486411587,3.3269663398995886,4.500456115864812,5.2267955184734465],[1.1716995033710418,0.6774881450608128,0.6883374437885607,0.47292152647559516,0.46777647229452585,0.352127574130016,0.2766941590877516,0.512306859402161,0.3912284895769129,0.36905576721894234,0.43717459479603515,0.5771217738149953,0.4545876017027017,0.37730219393831776,0.569616421468275,0.526841024789688,0.4959287848783885,0.5114054935789076,0.5233981136167247,0.5102522152637443,0.5141112222682841,0.5977762527592836,0.5185477164261726,0.5554388066266851,0.5541240044128093,0.47302257618425764,0.4478242983747001,0.42768761618996526,0.5099907361058551,0.5358292733612716,0.5640672240779484,0.5754765033854544,0.66561044194654,0.6168519192328126,0.5851436576676315,0.532022360733857,0.5600775701643249,0.5091713952066904,0.48282175743347777,0.5353659709380973,0.5349427862516902,0.5853627603148462,0.5239669412774141,0.6486819403212616,0.7638137179811553,1.25833164886611,1.1876190658069072,0.7523124014613621,1.4217610352377439,1.6024350265142675,0.7525407532687725,0.7316699281550526,0.7731152647665109,0.5682541078179694,1.1212011307654794,0.7147830526136818,0.5561071827248101,0.6888037979866589,0.9144086663410447,0.6443325886435766,0.6009517257573737,0.7015121167121471,0.6589231822630411,0.638371458532623,0.5456601987475259,0.5555639257274156,0.7206692231870757,0.6120920692247982,0.6863244277816372,0.7115950353976925,0.8244104361993112,1.036233596008721,0.9820880262757273,0.7693641088716806,0.6681237410809125,0.8528864885875214,0.5804991181688387,0.6133782401897367,0.5627254864158386,0.6154012492494542,0.5819417452662585,0.6664020914710073,0.8778826623832074,0.6033414520134847,0.5118975715845766,0.5364422698448565,0.5400794395749907,0.6329777310443805,0.5379629918009892,0.6462539901793166,0.5723167294533831,0.7257873604854391,0.6495699462922677,0.5906004789147287,0.5805522384144864,0.645950610748697,0.6449083210936281,0.6108812053401502,0.6274154763902056,0.7691860545801047,0.6351271247134983,0.8009391650270152,0.6284014966283518,0.6856064271319557,0.665658646088587,0.6117549314198174,0.7572036943896101,0.5544662757420092,0.565974895552113,0.6990521715085781,0.47945207362708486,0.4148950917423924,0.3762492973217866,0.4019878807915326,0.3752083127722028,0.35034757588200244,0.4499307802072279,0.37151971032611414,0.4569247605435011,0.511704774474735,0.4242393640985663,0.38751875224681154,0.34848894751021964,0.3291880065925892,0.321227796917237,0.3937525828852946,0.3990908041165248,0.4254618940857166,0.433497266441968,0.5737116086077763,0.47098321203714744,0.5104018165533669,0.5033136320959309,0.623301793672166,0.5478784099462759,0.5408263004025993,0.6657855373707111,0.5509074426939127,0.7106608602449336,0.5305704469904822,0.6056847665616879,0.5146440748977078,0.4645203720303393,0.42173420117195154,0.4281592335793839,0.4244563100279457,0.4012876932822555,0.4568050213689437,0.44802120050074057,0.48993578961261863,0.6253904717251361,0.6719046065047395,1.0563055804027208,1.4624222127605637,1.077923505273619,0.6932657256088937,0.6026488837385289,0.6435371813637843,0.5493434260601057,0.6446230288608031,0.4878827071713199,0.47312073120223314,0.44810172421995215,0.4555465746133667,0.5211542080190824,0.6352300030824921,0.5208393857208978,0.6135457211573591,0.7117592738673052,0.6500547721377345,0.5551222688116476,0.5012281149315134,0.47397852744482044,0.5397440609669376,0.5068056100917128,0.5574442632419271,0.548837500077875,0.7708931631739093,0.5374984818338469,0.6244762506645064,0.8230819294914883,0.5783370814462049,0.561829827031814,0.5631338820882967,0.537985230194142,0.6965506290010829,0.8111194338247015,0.7802684170352605,1.5921234005126408,0.7492134640312145,0.8275398944575425,0.6886281234883976,0.6417929997576957,0.6596434493037132,0.5772040351957319,0.537878670654294,0.5307002664061959,0.48256882646454974,0.48844408201122563,0.5253239311840778,0.5311797044001022,0.6103280607775604,0.5045602254511597,0.5149351867701382,0.6100864052670912,0.6045103081073319,0.697823778002702,0.6208514329874099,0.7323481580036645,0.6753100000638966,0.7040579879055964,0.7362317974445379,0.7824148301443554,0.9629719470757607,0.8258720323437354,0.7884046921232531,0.9615422628907666,0.7630915328717244,0.706404599982621,0.7666781160259856,0.6981535259255454,2.1981816335852695,0.8765775873506713,1.4658802278279874,0.8006423063500926,0.8458082854955291,0.9033051938637743,0.9386052006502802,0.7678713458606896,0.7840727515080554,0.9619346809178035,0.8524699415811915,0.8364753738119483,0.6920796698069587,0.9935543496718061,0.648374907043056,0.7740346591163125,1.0737817562455871,0.6490393890272722,0.6195673469488744,0.8402756444323698,1.0158142294835248,1.188254785524694,1.1730615067992434,1.1858830509517648,1.1097153208723836,1.0343605504155713,1.2146176172462513,1.1080727459134245,0.8907655892288914,1.0880367386223002,1.171439813989619,0.8731583316723246,0.9062884339576216,1.1124379043693444,1.045284122882731,0.8584665300037925,0.8833668664336881,0.8084975599481227,0.8243689668928823,0.8368358819562752,0.8385824619187935,0.7580782229677586,0.692932386790041,0.717462037275769,0.6652987299555971,0.6860634566590315,0.6159065392583104,0.6393121228776336,0.7576934053056295,0.7231747842323142,0.6579898016058201,0.7083745467318623,0.7857352049464783,0.7593364145771462,0.7986946509760728,0.8781513907700693,1.1112980340485756,0.9154531185132212,0.8262984409034372,0.7220783316802122,0.7434620147454165,0.9693635161032076,0.8676623749392313,0.887160682858602,0.9695570004003914,0.6507780537576964,0.5714726160197485,0.4619651588346965,0.4348161272442269,0.5067071777956613,0.6253640722243133,0.6645938680072196,1.644521112706024,0.5512618543906672,0.6725796820820434,0.7836147204638073,0.773044953143937,0.843592367958666,0.9731285484146912,1.9656839940700133,3.12671043990235,4.0052843446828925,4.603908466294616],[0.8857048976105282,0.493018557608989,0.531222264584448,0.390240224137315,0.4003818672339966,0.26559181389102104,0.16397997717785764,0.2875410146884873,0.272704787002718,0.29215939198103613,0.31173582473607264,0.4148777952984333,0.30933258348845666,0.2958111078637758,0.39940868890518255,0.35621837565007297,0.37511913791493207,0.37505708171629576,0.4146535310298689,0.3701076966852665,0.38713021180988816,0.46088199582887956,0.4771508119356676,0.5402498639626195,0.5784511062030684,0.41380819677541036,0.358071391792739,0.3276870210784762,0.36935583210750567,0.3598318233960984,0.39605274803644774,0.3528932352048302,0.4679901659427142,0.4156094612023752,0.37840304495017313,0.3521741778869335,0.3435776118284903,0.3460867981693564,0.33151945523212795,0.3681145856116908,0.4641154257735193,0.43208292904607404,0.38385677330115153,0.5399326656272453,0.6965175722322251,1.232486782036616,1.186606801198496,0.6459858291795705,1.3399912144303956,1.575182446897849,0.679311402062347,0.7683299883221006,0.68808801068757,0.5253943814182921,1.080092726284223,0.5691126556065202,0.4289470034113439,0.551872459691831,0.7477454132078261,0.6364055767505719,0.49526362401007795,0.5806082807399089,0.49376728585337476,0.5268954037497373,0.4188498870182073,0.41893983103731436,0.5721739991756284,0.4368667102895235,0.559258187154603,0.6357893551016028,0.7410577694112909,0.9844341465559919,0.9100701137694521,0.6724469612763285,0.548424428587199,0.7588312312910953,0.4073602526557713,0.4310918622316409,0.37796508873084195,0.46387977530493396,0.4108883489520785,0.6390581493294415,0.7040266393623572,0.4070119496397428,0.4154872687621124,0.38837183300011496,0.3642996065426086,0.47401401977466456,0.3344830110237846,0.4514472525815988,0.39757656657509394,0.6072001263075661,0.5025224126091461,0.40612588492674717,0.40490241429580065,0.482154879776709,0.5009103863314424,0.42772961032968365,0.42622417176346195,0.6066427297406348,0.42626805767848464,0.5870705395456455,0.3988792307031017,0.48035019794635303,0.4988807321769198,0.45081649395791923,0.5850648693772942,0.45766513660435737,0.49361655997623466,0.6128320347092444,0.33685335112458764,0.24595306248674448,0.20919837442310327,0.2899633646553691,0.26962136284110144,0.2780469721110095,0.41004962687888663,0.3138078236536151,0.39749079694627976,0.43561796038293543,0.36684711347366733,0.3491252094918021,0.2958379863682789,0.26083335509264305,0.253702181345387,0.33637103929791534,0.30761580853603926,0.3180644441649979,0.2726515286353415,0.3725145114834714,0.31121250166671743,0.3590507752592018,0.32835923535582867,0.43776871638887305,0.39118243932483193,0.4007805383441049,0.5594921611332317,0.4404248532039295,0.6188500499026245,0.41746925033133536,0.5609032122731088,0.45495110475566236,0.38707103274535226,0.3278041392628492,0.3108006636500981,0.29484276523152064,0.25474567875723403,0.3118265015775984,0.2650713135273537,0.3305129568308841,0.4503636346382558,0.49519768784238644,0.8737762555830967,1.3627471366621704,1.0398493875045534,0.48374332438028983,0.3706227832485127,0.41910276959992293,0.3309698347230335,0.43754929331549375,0.3086379820096489,0.2937648954860139,0.2982071052746232,0.2953482918553714,0.413096553806745,0.5307861619977766,0.41697100597483283,0.536183843091315,0.6400687497591729,0.5895782189743112,0.44900848792388065,0.37659992399847136,0.33657732528282963,0.35219785620146005,0.3040422229522817,0.34551016954801317,0.35650037724293276,0.5734438098761361,0.33767818720012965,0.40719264072137107,0.6711763690620733,0.3665168883513112,0.37294384447810797,0.3928058244914746,0.3796148348708466,0.5667827658211092,0.6859008982622323,0.7050097528894946,1.600665245172278,0.7119031234639722,0.8434364103728809,0.5952623496589079,0.526185186763367,0.561085286243147,0.4216620386018303,0.3777551528769321,0.41921686932078256,0.3540156819026165,0.3696874669463852,0.4661713257978939,0.35741717158813036,0.4260441585383678,0.3553009287479463,0.36001934776652733,0.4317320265580947,0.4523267376909829,0.6117965750269507,0.48574528354583885,0.5932736241923137,0.5600751108505807,0.5781501682856303,0.6180851290818683,0.6952529884670824,0.8291759472395125,0.7045296522526804,0.6565140566769503,0.8203134986782709,0.6345435657143584,0.567842533428934,0.6217968627252296,0.5450667053539258,1.9782359573200539,0.7471366039570592,1.3492662275768998,0.6300806363803328,0.6277535719263042,0.6928540715626165,0.7123676291542401,0.5411157437166221,0.5675885849998886,0.7630682538686064,0.6941825482091124,0.6910627528548354,0.5515636608623893,0.8995007897155355,0.6118969383846478,0.718622363010828,1.1550346256204396,0.5987096490578723,0.4885235451045829,0.6529466435833957,0.8130585013009659,0.9895285544296978,0.9622632856470333,0.9863933463279502,0.8979855272435326,0.8167884357533187,0.9866914394635005,0.8840006277832061,0.702013284880423,0.9007589886341183,1.0066186513911657,0.7298350284177031,0.7380492078675164,0.9494579229224622,0.9442149857271064,0.7258915319826587,0.7326411240696626,0.6606157272081178,0.6447932981217742,0.6342780877939118,0.6298509255573685,0.5806398128204477,0.5265349834969747,0.5217569805346827,0.4870367099040956,0.5339930759982565,0.4685283206991098,0.4752554414889081,0.6841454523602001,0.6335761636286984,0.563555938573313,0.6364092573432915,0.7285776614120056,0.7125749944017773,0.7425003995642316,0.8703870696855661,1.1072354339079788,0.7996006818172708,0.6990771023553591,0.6104062573264308,0.5698217859615775,0.8276985802369639,0.7696039455653733,0.8318175595576758,0.9869329506376786,0.6301573567555435,0.5377502072288668,0.3509798388633624,0.3484371741023458,0.3747703649375491,0.4334594437845828,0.48944602737058823,1.4844284880581207,0.4205744360489664,0.5515418169743662,0.6805915514824398,0.7731444139051217,0.7297216643130873,0.7898546151497523,1.6749648688798489,2.811140924493006,3.4682344691991838,4.1161146075040085],[0.6845357935607427,0.44112496388509476,0.5429548680215759,0.34259186095567273,0.31409669964344067,0.26158541879358405,0.14326091165694585,0.23856471490294384,0.327137029361377,0.2669206602129011,0.2594975917556776,0.3871312915396204,0.30779938515045036,0.3087525359805296,0.34968909941917503,0.335388033688152,0.3703442534683405,0.36407479766995676,0.4101325963243553,0.36510696320576447,0.37488302733539297,0.4418202035424742,0.5100377794885939,0.5856034942559734,0.6255051975474019,0.42865887931978747,0.374539865391723,0.3397108122751948,0.38611814565253666,0.372687694599931,0.3743461857090608,0.354082100075434,0.4260182361251067,0.40364756967621224,0.38746081209832,0.3762673783959639,0.3836208041347779,0.3713856458773176,0.3319490083870657,0.3512167536753106,0.4704441710153471,0.40857745448072,0.3817871231027491,0.5283301109864236,0.7069855926690409,1.2467861691212165,1.241203606865157,0.6192760575874465,1.264306143584287,1.5534051675846725,0.7139628862541787,0.8725482101109776,0.7369294057050979,0.6138335944002297,1.150340063515312,0.5636206026759132,0.46540218848379056,0.5830304065645734,0.7251968078114627,0.7122173543795041,0.5192068703336589,0.5751562907046068,0.4989319781734778,0.5368845259663902,0.4202738277136487,0.42562673438952686,0.5695879042561293,0.403851699674918,0.5143407895906116,0.5894090672860337,0.7109577152752702,0.9147320554990577,0.8354490941032705,0.6314950704218947,0.4999007816943278,0.7246402551682619,0.39279573888764135,0.4221989756797192,0.3980860424309377,0.46905704612081545,0.44734721136179006,0.7253587374691465,0.649951751058332,0.4254208093401137,0.4834565174885068,0.4189007724839872,0.39098095515515313,0.5104223927587208,0.3485228315890778,0.45823678218482294,0.3947875263015879,0.5836753229647679,0.4591547950307219,0.3553099753835461,0.3573154715858936,0.4215520337543472,0.44546132704514835,0.38070401418004574,0.36971889323234963,0.5205320101766189,0.38927171912711694,0.552592853523527,0.38295003501116165,0.4280214850603661,0.4899514197813924,0.4395023688710709,0.5288586988168157,0.5361459732746612,0.5544836355425015,0.6224264620906764,0.3477087578961011,0.28854472347890625,0.23814301053330345,0.31940347337956,0.2765800303172166,0.2927727761779919,0.4245217825189631,0.29190876028712903,0.41839600984930403,0.41631089902822266,0.36777825028082056,0.3648242215040006,0.2922961324627426,0.25334616677320576,0.2617989627555736,0.35506118245589646,0.3214829652216111,0.32207589516915,0.3042353454719191,0.341965981172271,0.323863986205434,0.3796384218986824,0.32443900441138357,0.40096609787092696,0.36807298401983485,0.3802726230120227,0.5083516560282233,0.3780343435721351,0.5399660514649057,0.3565651583270921,0.5321572785734812,0.43643414281321774,0.3698946679954074,0.31529376428036604,0.3554638781199019,0.31252907529127066,0.2680856926997259,0.332641338608021,0.2765344304355954,0.32251324342396864,0.42749131255775963,0.42762954603937187,0.7289019089194865,1.2703082838773123,1.0321826797201807,0.3733072746719187,0.3147400281076195,0.3504037722996489,0.3428314524611066,0.38354464677642375,0.30535144942861986,0.3045228099445111,0.2888803661453902,0.2977602141936271,0.3896405936524114,0.5122116734412825,0.3997111540821354,0.5178216011276215,0.6075561972593216,0.5593669961664561,0.41691836119308334,0.3376170391630587,0.33411192830897357,0.30400442562799623,0.292525300222473,0.35906584836024286,0.3957746777151172,0.5551377408925221,0.3490719360283388,0.38956375932788334,0.6182294172357327,0.32194412664510846,0.35254526857381424,0.38545112682387883,0.37632817695980114,0.5624173655967719,0.6894590315229311,0.7290715151516897,1.6673730194623662,0.7676524935762035,0.939033464145544,0.5932791151143422,0.5160022990962646,0.5480772075439613,0.40561727074754084,0.3931435214863564,0.4533315519579821,0.3834743750291967,0.38469447475987056,0.5903237265884852,0.34451370614662946,0.3847536976014338,0.3645597457364624,0.29972046554948806,0.342675221023473,0.3892436388584952,0.5300163820904812,0.4167397220611682,0.5064120721284721,0.5437045836357475,0.562090405030567,0.6006746622492082,0.7030600325461016,0.8322021093253372,0.7359444540120519,0.6512098896223643,0.8094880370330333,0.5996605847574191,0.5238686676428338,0.572424626107293,0.4853008071429808,1.838484491498595,0.7220929636478465,1.2597282218233097,0.5486562993678025,0.4961472640002529,0.569169743244629,0.6053270172400544,0.4215177621331859,0.4261753124185076,0.6289156095779276,0.6117952595508901,0.6162958592924354,0.5060694227710503,0.9098504852558952,0.7185271401918296,0.7769595151514621,1.3146532274122693,0.6234071783616862,0.5193148275295736,0.5760805329272494,0.6660666951103981,0.8523215970793723,0.8162193453738489,0.8763164829786797,0.7526674172993765,0.6769262385468106,0.8360758298100858,0.7324686032006991,0.5615129088961857,0.7537400421671759,0.8719998336656575,0.6241863020787262,0.6213125146546299,0.8288479112356786,0.8853807871680183,0.6523021831016776,0.6403828705665222,0.5777146356215832,0.5168085289306414,0.4907581611937653,0.4908504614384779,0.4668892721260936,0.4260904703132002,0.39562169537406355,0.38274071460740194,0.4544691168095135,0.3934824321655202,0.41167328347876747,0.6434248993558153,0.5737091360990486,0.5401583390453524,0.6023639071308937,0.7214983755078637,0.6886191245558283,0.6933449953824551,0.9198122018954531,1.1402122003015231,0.7391209104724596,0.6453150952374419,0.5619009275932578,0.5156761673112372,0.7499640116848602,0.6653905047390192,0.7612487798992937,0.9823542965589315,0.6352087458170255,0.521684967589274,0.37189694512461824,0.36959538217364407,0.3189734277710968,0.3544533892609471,0.4154622806309429,1.3142388613160303,0.41082505543493403,0.5232219028103746,0.6089713467823445,0.798983564275139,0.6799563652166755,0.7315773784238732,1.449025616423852,2.5782104518614295,3.1298576926227653,3.9036528831736517],[0.4861993417693402,0.38147175546548995,0.4838993372172145,0.27092328303461,0.43921019497480496,0.2555852031227749,0.23886396268062063,0.2781390510772396,0.3319448447459508,0.2675710977875244,0.2791783715761266,0.4215390714406631,0.3177054410251885,0.2937945533896988,0.34566448909776104,0.34107370851123336,0.3761718600738248,0.35137960606303714,0.3911355021585191,0.3839080344576512,0.38955616706795,0.4462008924766601,0.5824055047104909,0.6496444609577029,0.7039749059097659,0.46332135886342674,0.4032747514639313,0.34953070952305026,0.38690632537116887,0.37550235097155693,0.3689546750154196,0.36636523089830375,0.44411878384608305,0.41694547140639504,0.39772207072052734,0.387423248899849,0.41192288604416927,0.3800722494683272,0.34897692949928055,0.39312181068591195,0.48985903212308757,0.42043387790726683,0.4156166524131568,0.5705805796126266,0.7788986642001019,1.2931297969368096,1.3375431466072008,0.6685476446520845,1.1929324021546224,1.5676904727624408,0.7510348387664988,0.959188020971016,0.792929850668239,0.6924223885524105,1.2165048171838795,0.6183892201246571,0.5130241571295984,0.621087885261677,0.7449124896757863,0.7893632535994165,0.5514312019253935,0.5820779828282806,0.49211564723940326,0.5232750579529328,0.44549171444053853,0.43309728132487174,0.5743668593699179,0.39965436759946366,0.5009093296567009,0.6067825859601738,0.7094504502131733,0.9261624919855249,0.8300861864062293,0.6483135336487311,0.5025976075482901,0.7599868449494044,0.38750456734086697,0.4075893537615448,0.3965679596917544,0.4923660026725454,0.4857572193432962,0.7831323216194055,0.6348293594995363,0.5079551203140755,0.5174816137601035,0.46023562431676923,0.422594178014193,0.5324876416543111,0.3563891856377009,0.45738015032169355,0.3994854206894377,0.5844951343410449,0.46783275447603145,0.37461649892888643,0.36895000712893444,0.4428619350364116,0.4615408534419669,0.3850833527897115,0.37826590302095175,0.5689543189265306,0.4161203259903717,0.5886738256222847,0.40934985563689774,0.4577732452622222,0.5517015867050301,0.49832052676423205,0.6163861448221203,0.6449836165827703,0.6808060689936529,0.6837990879047923,0.5009425344641147,0.38501846568203835,0.2977928583466384,0.3561906016272876,0.28273343818308,0.3043154312887975,0.42341284711834204,0.29876333966269414,0.41943155635094087,0.3963487122696969,0.36374845145838963,0.33898510086065214,0.3028597551033958,0.2658720244372244,0.2677043580502389,0.4152646768036709,0.4109139920370997,0.40623885544729166,0.38373044001546286,0.382821493766393,0.4562421227801906,0.5204095166277832,0.4358991149050883,0.4523654501632316,0.43534073781618254,0.4245197428979992,0.5520171400013183,0.40698152441450663,0.49625902610943545,0.35203648706190444,0.5344482192698617,0.4911241555321313,0.39237426777300854,0.31153626221601816,0.40129443132951836,0.3280239834546118,0.30411139785815294,0.3605084063729332,0.30772201130608395,0.343036651301547,0.44925316206107196,0.399626331652647,0.7482955563380531,1.3079717643431459,1.0060427222602049,0.3934339692133351,0.338179906165662,0.38735217632936425,0.3746914269229874,0.39858145117729576,0.3327490048225266,0.3390278278041036,0.3231483640632955,0.3376092466295115,0.40239192321745126,0.59775739603233,0.4601814162819004,0.6088375025056083,0.6975635701330772,0.6287264913489683,0.4678309624697274,0.3573186655745202,0.3639652027144872,0.34914687180462983,0.32768945103222974,0.3798702418216586,0.407652092439691,0.5642894244874634,0.3833631126789693,0.40710306961085085,0.6541571602210499,0.36705860666334206,0.423797616787449,0.48033266036814326,0.4759998154556579,0.6171749557214221,0.7218054275844338,0.7718407336493194,1.6890525682451223,0.8308019643726741,1.0079101481986008,0.6309271260078376,0.5689144396353335,0.5971330484767793,0.4674285567337482,0.525404189647354,0.5655150915303051,0.5201572563407347,0.5259747330673835,0.7395766542699643,0.44647545180737075,0.42631248459563875,0.47890114363370834,0.40304871625582284,0.37610619814334134,0.41444149862168667,0.540893481225252,0.4304991831471016,0.515329470223607,0.5469971369167546,0.5700824527275732,0.6405416174576086,0.7589678112664558,0.8301662433909008,0.7891071815789271,0.6697529701417659,0.8404161757929736,0.6313582093215908,0.5538564693025488,0.6017940405369827,0.5355035364723099,1.696547365618071,0.7232813953840158,1.269957896811547,0.5839030788335741,0.49812877640260367,0.5754397005142151,0.572690300006621,0.46684847334306817,0.46335451094585683,0.644961902710738,0.6513431748607909,0.7211575260829304,0.6364912924450503,0.9458378441522682,0.9104616092803514,0.9414601673682285,1.464345088674604,0.7981389819890525,0.6182926314062092,0.5716532783746242,0.6086909434949068,0.7733712326062855,0.7813876747668159,0.8161775298402685,0.6934022879936961,0.6461185454036448,0.772758478167272,0.7253783095142112,0.5650252994911394,0.7602104186310149,0.9141829915836495,0.6647940692836487,0.6514813003136428,0.8768640609377635,0.968363394931488,0.7076171653819014,0.690417362120794,0.6083753449699714,0.531504051274354,0.48843923848036014,0.4632645059456284,0.4925152884068086,0.4458561884384636,0.418296628465392,0.44917792364532994,0.522853056745338,0.4659673271943514,0.5073143320721807,0.7861456572572463,0.6710067853411743,0.6684201127927062,0.7103888708668958,0.8663797511640258,0.8266013513643963,0.8123895426440095,1.0026914491783325,1.1546295844428667,0.833080001949482,0.7150350893282902,0.5963436614223475,0.5237889465562025,0.8035889319887343,0.846511251961639,0.9874308009761322,1.2402871709368648,0.8430126467713251,0.7085715762572526,0.5437151400110878,0.477019358824836,0.40402574866583396,0.4181423450147767,0.4496777776864771,1.242587210006675,0.5122859563192427,0.5397421559411096,0.565366777011068,0.8652429980690224,0.5530251814453078,0.769299694121213,1.1202051958410921,1.9806257771522657,2.173793030091701,2.689065406115136],[0.5108399587205684,0.5993396188117334,1.013416956932787,0.696997436862885,0.8350028432947465,0.4569520593610611,0.3224065391377637,0.34133042689665133,0.41121394031818387,0.33540637549435576,0.3924277774076852,0.44270614028499594,0.3193777235393181,0.40321537369891997,0.4196494166957658,0.3620033005427675,0.42590129852906145,0.39001851594634157,0.4897760512173298,0.3834576181347163,0.44942601653055775,0.5099337881559186,0.6303078675469382,0.687507542633738,0.7025318038554756,0.501193467836618,0.3920388473301155,0.33802451487099255,0.37373976937785713,0.32269055896177085,0.4165822547438061,0.34301160705325284,0.4642947828963042,0.39709674824349817,0.36251131757889343,0.3382037972927816,0.3724509502774709,0.336449013605596,0.3554177790025451,0.41923735442640014,0.5235458054446148,0.420792078308199,0.44219956859231174,0.6099583530629559,0.8532902730383596,1.3272379057855936,1.4411023793616637,0.7260251823777384,1.0954452369848267,1.5608550041719824,0.8718245609312049,1.1712225256443003,0.9011761825531882,0.8359696033789489,1.2953717908327278,0.6704467150683955,0.58198143606691,0.6642827967704686,0.7105047804742787,0.8629434549179367,0.563278100845977,0.5862980922448048,0.4850981749847996,0.5563327924305604,0.46849540781355753,0.4526138597740824,0.6301747526515521,0.43702179804220587,0.6171481532388609,0.7517758988152151,0.8655900405027821,1.0961360906854887,0.9314425572849597,0.7947521244082595,0.602489124645466,0.8046515846093554,0.4008454919702303,0.40942216809219695,0.3884229386227568,0.439612232605139,0.45636661354569596,0.7808077333495549,0.621861578898524,0.6642204470948623,0.6122827482030958,0.462828585755123,0.38863337885464583,0.5040682503196267,0.3259181417497206,0.42365298580748695,0.4042543907644221,0.7027315415450881,0.5819152982373448,0.4573462735219035,0.4570987015202349,0.5819422078193733,0.6503169389016864,0.45382769327778577,0.41451783989967556,0.536846727316389,0.3884870988536368,0.5403636980561657,0.40185298507599915,0.48897568553597337,0.6986252648965333,0.6846930315342316,0.8812570370527613,1.0900463860411367,1.1181003806493885,0.8977328550875768,0.7650646361873047,0.568292932649298,0.3671840033396801,0.35567721272283437,0.2936064863159899,0.30444927065817395,0.39204202652032827,0.39312725691917766,0.5052578563665019,0.4638686801655339,0.520613223542401,0.45836906122502347,0.4492284840095357,0.3416100657257016,0.2879789780834645,0.4416165290159697,0.5623152545611098,0.647289798126757,0.7936220723915727,0.7632245696344674,0.9927883971335798,1.0000028461006176,0.8695161225821525,0.7845508279431432,0.7749720286457286,0.6956713385253465,0.8636881331800668,0.5485553315304583,0.32885006240308673,0.30592294933858727,0.5731572861667147,0.5887544479003627,0.461588824047849,0.3367802456982307,0.40707455441294915,0.3262964664642582,0.3233081055380123,0.3463411612176362,0.3351985672473202,0.328429017101312,0.453262083831719,0.41001036819977604,0.6950595564454656,1.2587337919664365,1.0358714472932589,0.40331435319034686,0.3363159832986226,0.3650016794043975,0.36179173346118293,0.470285729740664,0.4515545301675293,0.3720470743565779,0.3795001299546886,0.4157837181556915,0.45788270556030547,0.6101210389274437,0.6295699725179533,0.751533731940283,0.8759440371400249,0.7667990704453712,0.6874678024604118,0.48828135577232634,0.5409377806055016,0.4732894475897745,0.42628287374800544,0.47103281340686837,0.42359574420751783,0.5234575278911092,0.4194679263105894,0.4716034589870735,0.674893144701139,0.546605828817804,0.6559291440722357,0.718285890800294,0.659505624515947,0.6570897829584368,0.749756891518048,0.8679748465084386,1.7639859181256252,0.9985129680623144,1.2610270671687553,0.7659256971018419,0.8541171427676273,0.9180363419035151,0.9020896237725593,1.0937983670740938,1.1501924868056657,1.1457716875609092,1.1986527845061419,1.3806003715000426,1.123269828975918,0.9818760497185464,1.0722597306665045,1.039127348473459,0.9259296606645788,0.8253235786595924,0.9553943630430656,0.880001858354741,0.7375882237703266,0.7216665879940868,0.7670016131104583,0.7456434733430074,0.7674303108804122,0.8473512837071905,0.8747232628796884,0.8514101153592432,0.9418059715858371,0.9443305437860542,0.929683592166451,0.9024398100101769,0.9554544271005858,1.6294678958202584,1.0796559118503735,1.5181952381094517,1.1052034138693918,1.001068997238207,0.9966337284379649,1.0852777720261515,1.0514049559871963,1.0436414193776575,1.1001632630655414,1.2462475951530347,1.309727855431697,1.2872151673578687,1.5780371857627022,1.6454963069446233,1.5819562540345808,2.1038425375580516,1.3978079100001564,1.226883222094228,1.0824720293023287,0.9289724442399323,0.9107206706259859,0.922896269118252,0.9674427175001488,0.8612677605683026,0.8325719063962751,0.8401216583263267,0.8295789646433769,0.7689212849242106,0.7300297147259243,0.7906115205882741,0.6743484304088988,0.6996355436492078,0.7439312467491869,0.8530477958676661,0.7538198268607647,0.7511585241370354,0.7640047221986321,0.7672738106179632,0.7769348648995731,0.8405016246153688,0.8449775831341576,0.854671787464291,0.9482508905446325,0.9928882838464949,1.0212844179576257,1.0761903155038381,1.15293385020497,1.30975426392896,1.2126960231221497,1.295129137053092,1.32214911533824,1.3813610830499305,1.3400215059503349,1.2768116721766676,1.5327712243434166,1.5365687506686354,1.0939346390436862,0.9905493359627208,0.9341997491067201,0.7818185443786068,0.9729486020290564,1.154308951175884,1.393173682324866,1.7529356450328368,1.4554826407664878,1.2683566488931521,1.1947298688898627,0.997399661576154,0.7234583272928814,0.7881010894755154,0.7979309501285058,1.269329900861693,0.800549609529152,0.6139469030947077,0.70366730195826,0.9962395861055616,0.559791656247369,0.861289568729995,1.098727698338524,1.8179407656084325,1.9635908409357432,2.854868881956185],[0.47405631972315765,0.5132729795793002,0.7320627609701804,0.41428440339820544,0.6283722593465829,0.3823253114265285,0.28527886542465963,0.32519292849359505,0.39620360344764427,0.3058123848214494,0.3394029882458422,0.4400782180739468,0.31312225951100475,0.3373807290303604,0.37842985938171414,0.34361850389988363,0.4064112132499185,0.36443168777479973,0.43096159520387217,0.42745058544059494,0.47454262971180283,0.5411017825370459,0.6486181261072862,0.774428113995371,0.7737653759633575,0.5620392248261229,0.4800744168097091,0.38628610827851284,0.3919464691315007,0.37306119689261347,0.39528374523248005,0.3760837679007329,0.45844226849336056,0.41159985347352424,0.4007549702367008,0.395000710781737,0.41283196292598945,0.3932983911259265,0.4112055447463127,0.47874783510932206,0.5955603392048235,0.4933141190081154,0.5220873024692692,0.7018037551292744,0.9348029375087183,1.4137747216615828,1.555879842190959,0.8200193900116453,1.1637383307988387,1.6104871354391195,0.9472616635104082,1.2084660523656048,0.9709303479428486,0.8892774901492982,1.3348248052251588,0.7376016424330218,0.6408741105169786,0.7193931585247316,0.770639160357953,0.8955381751823669,0.6220805843625707,0.6032311590268227,0.5204164558868549,0.5948253412940964,0.507353639996792,0.4864495948954317,0.6251909088201499,0.4257430747377398,0.5611735546833322,0.6602790012338339,0.7614661042273642,0.9867926559020531,0.8434121530323342,0.7330616564723687,0.5387415018594228,0.7852485263863123,0.4217671586070944,0.4130640419532273,0.40136979973304815,0.4904036541636449,0.4925586248274774,0.8149378503197511,0.620185842436598,0.6686351258800395,0.6420478716268264,0.5019920030571462,0.4465150240128556,0.5205654698213991,0.3772060300549507,0.4485022241935875,0.40805926987671814,0.646466724598098,0.546079458571045,0.42520218193501147,0.42087853115008306,0.5355689826381483,0.560297410273089,0.43620906878668736,0.4197439078672584,0.5985318705946372,0.4333102768489202,0.5871339643627485,0.41922092738305894,0.4571372696919018,0.6171730884284977,0.5748558511701798,0.7407633297334905,0.8740202319244715,0.8843783626447859,0.764993247168371,0.6204000551248899,0.46651484713036323,0.32313304321035824,0.38376187406569007,0.311953444274837,0.34533545874123184,0.42656918667897586,0.35067571138230175,0.5344646328895761,0.4239717216090246,0.4284698316606307,0.3916753867106748,0.36351603505574664,0.3161768495188727,0.30401099668414366,0.4528704512880888,0.4674739048689023,0.5193567346984896,0.5837380536688623,0.5848988315463624,0.7895913178822059,0.8199572697433246,0.7415491686825049,0.6544754088191092,0.6703674320712535,0.6086048432972503,0.7311220490272804,0.5301384291777316,0.3540534102867575,0.3417383789819265,0.4607332730474247,0.5183564641533228,0.4228759064272574,0.3761576204846026,0.4988047532494551,0.37536047720509014,0.3633813538537449,0.40040317367744116,0.3387766794727088,0.3434638322957317,0.46026993357361434,0.4583234090677167,0.7530760850613866,1.3835118855762985,1.0811944450192443,0.4715379922051217,0.3825881543129307,0.3869282103042371,0.3989807837561501,0.42232253262882574,0.43311497803677534,0.3955935632656402,0.4206929608193259,0.4526762077749954,0.4745496171307549,0.6460234936486615,0.6256803947329255,0.7817770406789971,0.8820623139057431,0.7763308202319137,0.6496542790493284,0.4769357732547211,0.5129874963846289,0.443455892908829,0.41462736801150973,0.43039472266772094,0.4439219104049536,0.5378994777158358,0.4367929529832855,0.4580305964176663,0.667808381485002,0.4677137958425201,0.5713883975433277,0.6783030294967597,0.6434970011593947,0.6989345273168507,0.7951995997481227,0.9066528945135188,1.7896210190370387,0.9891490133675946,1.2464411406399134,0.7657514537252541,0.8065660171008899,0.8557350722466116,0.8070741275761791,0.9740386026445954,0.967396360247735,0.9033366117902915,0.927662859406328,1.092542301711611,0.7854917219582751,0.6586196365246926,0.753290670168934,0.7198050067629519,0.5975225233494479,0.5582342901665804,0.7089601830428834,0.6060503052933627,0.5857886255423012,0.6351924452054386,0.6667922825390907,0.7341223901565588,0.8619481097671388,0.9164516751447138,0.9510026940837413,0.8090198605300998,0.9674010363678297,0.7911753510207109,0.7139722812851652,0.7224472622958243,0.761408998718098,1.512728742371509,0.9086617035965112,1.308498957574925,0.795411981845867,0.6875886937467673,0.7058041465847171,0.7340668864109582,0.7401067141998139,0.7112613356755227,0.8309555505339273,0.9569488401501441,1.0268618250460098,1.0077631010992008,1.308634738969156,1.4013322905714616,1.3627629678603002,1.8953783269197106,1.1568522150001521,0.9623340632428861,0.8063568393216878,0.7001371756588112,0.7693166749343561,0.7732830687238862,0.8292584780266635,0.7083349032390511,0.6695313966259705,0.7352516926764839,0.7226030850028495,0.6144582441973698,0.7398115908861258,0.8966622250698806,0.6981641027780642,0.6840999125751215,0.9008799825634057,1.0425399424044197,0.7836352547974063,0.7633540469464574,0.6602487733246828,0.5920201407500157,0.5589058434341686,0.5695365574486169,0.609900796811433,0.5810476479552302,0.6204032540077408,0.6881153645728557,0.734205603115654,0.7597697350274351,0.8456321916421372,1.1024994553962568,0.9573546288764515,1.0594154626216403,1.0841350292650844,1.2156506260591184,1.1736558226768452,1.1174668493612785,1.3612330362546008,1.3860888676285432,1.0024548255325885,0.8835099626984511,0.7598738275269404,0.6292581237393108,0.8805890002119062,1.1133695251542644,1.3581030994747159,1.6625156078385603,1.229067983726641,1.0106902666105997,0.918918138567356,0.7195444341890935,0.609243710174512,0.57554330636714,0.5620373326639966,1.160387367643588,0.6324660699045801,0.6219133291026318,0.6339281810388666,0.9064722125037331,0.5836388501532925,0.8940770182031489,1.0814449671970898,1.6724346905408083,1.6946370014531873,2.3697920801422483],[0.5289821754823998,0.46101278363536113,0.733155135259362,0.36469006939656934,0.644664175078247,0.3798832833914634,0.27572909991361416,0.3096504963850062,0.3955266387280991,0.2576149824888342,0.30448616933861555,0.40623394170920835,0.2561471847758582,0.28768024922034585,0.33716470969821316,0.2937757061540531,0.37065790449127445,0.3387203767226204,0.4267045961184546,0.45380731740623803,0.5205188604004465,0.5905013384421194,0.7307773964623667,0.8610834469619151,0.8659525461904364,0.6339321489118549,0.5523663727752031,0.4224615745160183,0.38083413985930914,0.3450304966402897,0.36403939128230944,0.32191155298279683,0.41951574369876693,0.3759589076761024,0.36904908903300815,0.3798839695560222,0.40135177355083657,0.4358662777875912,0.4945948428031945,0.5787218164910927,0.6810181033180475,0.5446455184634191,0.6171535324551164,0.7957566113098641,1.0234672547496593,1.4891175391649272,1.691942094387884,0.9491270046917348,1.1867912830243135,1.6849575910306926,1.131654057072937,1.4202571600823617,1.1473252737761888,1.057495390512346,1.4532341297225277,0.868391528508364,0.7858379396906284,0.7936806491621627,0.8199181330095466,1.0240059821112013,0.6923639140941442,0.6350453207487338,0.5205094568313404,0.6335022381491414,0.5498514569501587,0.5150807700368463,0.642978335539871,0.4113781589478725,0.5456473003139701,0.6702033884902369,0.7675998770299151,1.0131782025801803,0.8326273314830787,0.7297565979196541,0.5265911391248689,0.8263692573300491,0.4080456539687012,0.3841176933365108,0.39578816070303935,0.5144825377970784,0.534031661421217,0.8997752831506926,0.6663805539442946,0.8115645659168602,0.7577940393377698,0.5748252920916366,0.5044868417017556,0.5301074772047494,0.38182456601482767,0.4340779966343823,0.39221697454111937,0.6588276235652947,0.5402271083702855,0.3981711310711789,0.3886714421327764,0.527548102562045,0.5766321719398564,0.41283667683634845,0.39095917216267007,0.5835022318238584,0.3733000213915327,0.5475853342700778,0.4007179527124345,0.470301242242555,0.7158993946386598,0.657212446835943,0.8337246319991143,1.0270823962417164,1.0061706917822701,0.8160729613678837,0.6866404408314188,0.5313289404348976,0.3062559620093525,0.4068893565885002,0.28924216484203885,0.3734350530241635,0.449267907273457,0.4068458045186236,0.5615550490926388,0.3941957309551386,0.4080523298142759,0.35800725875201844,0.3662998153565587,0.29947785797929044,0.27065375738609726,0.4874219026394009,0.4743627022283872,0.6051437789693677,0.7209549394484206,0.74206478465057,1.0135261410276144,1.027249259363857,0.9817435570286496,0.8450152757357166,0.8822782325254034,0.7670384185557481,0.9457754422027848,0.7409202581116918,0.46312356610890154,0.4536781768595462,0.4974739985509276,0.5711274847952985,0.4682877724948588,0.4644370156044347,0.6304920378629753,0.41920602042528643,0.40975322511314477,0.3955426635540044,0.3525063894811585,0.3243598625109062,0.41984622002144534,0.4522778589880186,0.7552273332774828,1.3827353820312533,1.082650927205423,0.45730759572472285,0.3489339874961762,0.3465619734189927,0.36767600095363284,0.45536896025304535,0.5145746674267541,0.463097617034142,0.5180283169018737,0.5592796677170677,0.5887736252479681,0.7610333244407698,0.8535510624685,1.0142665793660777,1.1229020357241077,0.9938739883893492,0.8721545235596344,0.6683586781483726,0.6811009616185485,0.5703733497691162,0.5115626074981191,0.5060777672445745,0.4718558835478284,0.5451234235381522,0.514028304201981,0.5404442047888158,0.6765640815880668,0.5962959325261147,0.7528636459106587,0.8712164572661721,0.8396008065332361,0.8190907010178167,0.8766077056124716,0.9974410472338447,1.8797077697183906,1.1573687140093076,1.4798050352530507,0.9619044082275464,1.0584082219834514,1.0911777556352842,1.0833908461086132,1.2985555366545272,1.2546800569280139,1.172983085862169,1.1852506412260946,1.2830994903815516,0.9739366350919494,0.7832619640382096,0.8856801464312931,0.8781879163217238,0.7144810848436269,0.6215837889956904,0.7638038737759846,0.6788840068849703,0.6190273251429255,0.6688229543858241,0.7082420448270146,0.8041653636915101,0.9507226442087188,1.0131053680811637,1.072138506795155,0.8590752487819899,1.0314750674086395,0.8659897387768374,0.7904779545267263,0.7812112545289333,0.8655290109563455,1.387253670640828,1.0059718063565857,1.366329383947342,0.9251499588355885,0.8311583624944429,0.8550365632840621,0.9555010130240501,0.9560209436001101,0.9346938251187187,1.0484831186293018,1.2167738047964631,1.26923573182508,1.278621418692179,1.5967575986121574,1.7287806488122248,1.6552100963364311,2.18690081572409,1.404753594197357,1.1791931617952256,1.009464394169064,0.8147902195359555,0.8389695354191407,0.8047907461945027,0.8570067119923372,0.7673548750357405,0.6958685076013387,0.7354201801457313,0.7372269976991213,0.6337687133168726,0.7439714760787073,0.9072150125978438,0.7229309459464153,0.7123054306402826,0.9469286989756724,1.1221542744084536,0.8425007160809832,0.8152855735855065,0.7060231765565251,0.6392032575204861,0.6026978825320076,0.6494224398949079,0.6807058890131307,0.6523719206855787,0.7593106688473993,0.8242914924163515,0.8442216386712581,0.9351984180738523,1.067347183300055,1.3045683690908854,1.1422315008642083,1.3178276391776114,1.3369308140831027,1.433359439421667,1.4146473265440278,1.3283010991412039,1.6157938454316505,1.5498850330568779,1.1312558963342125,0.9764370303990777,0.8252124904721133,0.6639116252552383,0.8904530459039326,1.2771186902102514,1.599866052749816,1.9218426079778592,1.4515999322725148,1.1616026443453358,1.1283570374607736,0.8455155199143782,0.6757867179304458,0.641889006517005,0.5982926457204665,1.121819050781672,0.6594433694534229,0.6431087374957442,0.6153684566460896,0.8539793252113251,0.553197749107388,0.9247402316572041,1.0742053739293567,1.5851669073862562,1.5804513599291534,2.429173350451715],[0.44839711283927375,0.44367927818111924,0.7634828787435751,0.47294222622008575,0.769386767380025,0.4346578199782601,0.34339110245233684,0.36582133108452797,0.4350230273455219,0.32149896000288264,0.33120135715674826,0.40176436799902837,0.3236846247354681,0.33226165933213647,0.3759249215598693,0.3562446196073485,0.42097014233051977,0.40560668470020556,0.4888935767213113,0.5156149907171362,0.5750298342548343,0.6412854604949277,0.7652424058315225,0.8946944367586153,0.885445078122427,0.6985322695594706,0.6099830135746855,0.49449297701674066,0.4371163832026167,0.4167091747582302,0.42283593956862386,0.38961721107715036,0.4432521933012959,0.4148458732196964,0.4209746321980813,0.4319680675432447,0.44698175374788807,0.48050788336297434,0.5490567433534903,0.613089527624197,0.7140242769623854,0.5886434639269155,0.6532933737077559,0.813574402131182,1.0255168077728516,1.4725286611112023,1.703793459521603,0.9574077230797406,1.1952193765561652,1.7066499977139857,1.166935483109648,1.456746314002799,1.1563327930800076,1.0761791745733278,1.4508911362355534,0.8642441645315267,0.7875436335195715,0.8098876429129719,0.8211684477852741,1.0179498485861527,0.7036188756038838,0.6353400234950798,0.554245081118057,0.6940686027659551,0.6128109839744968,0.5543589074657821,0.7114212557096098,0.4786914484803204,0.6177465804683471,0.6742596282789175,0.7804799902436987,1.0228217798038792,0.8565353157724792,0.8127322091726471,0.5485993726598832,0.8894714676356469,0.45658914336578066,0.44776283370934383,0.44325308934939894,0.5522589812706543,0.5544514866732275,0.9109172760045652,0.6924965834221519,0.8143929860557529,0.8051934759099927,0.618744255829389,0.5511703208687715,0.5538594230756253,0.4381499716469558,0.4817676974727525,0.44892276293801114,0.7126917271472638,0.572610843411408,0.45478072704315786,0.4289903955769847,0.5583421329655879,0.5637880430839635,0.42195669897538,0.4202734397222079,0.6098186659782482,0.4146072606946413,0.5879290084900487,0.47406440309530873,0.5145025418835493,0.7387606897229012,0.705896772492857,0.8793493537053059,1.0620622408601283,1.0530371980941884,0.8594554136511267,0.7639028933864889,0.6032978896899038,0.41825433283742286,0.492190548871592,0.35520784779203174,0.45860399624795756,0.5134185099703046,0.4723744035365938,0.6460943491135848,0.4711946970508931,0.47120952374479796,0.4294478130128498,0.42353242868168256,0.3736974571449739,0.38794572117478116,0.5555887050239805,0.5823012231483857,0.6699772999353293,0.7695394161694707,0.7719279616840353,1.0335768438319222,1.0509408868503038,0.9955812187137291,0.8589559218846047,0.899035037635984,0.7960728344725455,0.9661043036136928,0.77830880354216,0.523399239034435,0.5211493077780414,0.5688189096514814,0.6419665772711711,0.5412187148831937,0.5353016978640348,0.6699877131537476,0.4854849355469501,0.4732826611142218,0.47123373635412424,0.4363554365168787,0.39675569421022555,0.4854089378413619,0.5007441964019212,0.8244413570775904,1.4819616395261945,1.1434976133664223,0.5114628425216722,0.3949740145995829,0.4064615460628465,0.4495966919522249,0.5268742643926523,0.5699073066203169,0.5095683565707877,0.5546584503862136,0.5952128288311423,0.6135944540407752,0.7808181993037052,0.8680380641808906,1.0308378802279774,1.138565321420298,1.0081368731858484,0.8933716808734128,0.7060431672459497,0.7111165591892407,0.60115485714254,0.549910533819706,0.5473017167692898,0.5322720305224246,0.6079057735936356,0.556524476562486,0.5766922021391487,0.681561251834091,0.6301991284033936,0.765219140398844,0.873792525095764,0.8431789838004218,0.8231498439473484,0.8894697158845822,1.01984810262694,1.9113169469883373,1.1827846284526637,1.5236834778402242,0.9759089385830018,1.0714224985414171,1.104016458226031,1.0989417311142198,1.3159863646742522,1.2703475197934784,1.189872174106774,1.2118408362220185,1.2926439560562308,1.0037050914720802,0.8237713613868025,0.9331587162328283,0.9330089326588537,0.7764893598657207,0.7085175573757192,0.8600517144068347,0.7650830026373923,0.71090245237042,0.7244945896467884,0.763992451522699,0.8698034563802612,0.9935744564123575,0.996875555934232,1.0796283611157544,0.896336694699459,1.1252269091322766,0.9978268340867018,0.8925637603117518,0.8775803851569094,0.9505546607739912,1.4094343294948268,1.098942290831925,1.4667866445233961,0.9813585791533425,0.8782625159767142,0.8864690469178241,0.9666442990493767,1.0055825596070402,0.979910766987117,1.0811767436219457,1.257434339847875,1.3354329654362764,1.3181703806041731,1.5914101852334692,1.7743406319519024,1.7084217656645295,2.190425455541395,1.4482090014447495,1.1891597606713213,1.0207858186943974,0.852619358230142,0.8638430898198345,0.8724445639374525,0.8855986186869372,0.8094267684883196,0.7676741568677904,0.8316693821572658,0.8326273296019351,0.7316666596147271,0.8785685202353535,1.0439121500753132,0.8370777908277653,0.8445506041132154,1.1063657393884108,1.2482976195658595,0.9476437775403573,0.932780633688479,0.8145656745098915,0.7431904510491345,0.692698203170825,0.7227593590985306,0.7741409021782845,0.7342624739761703,0.8178152793277846,0.8976575366706758,0.9269596541290062,1.0012752110835472,1.1320672315557394,1.405864036796968,1.244772723452208,1.395459414424696,1.4380391352193527,1.5645077219483672,1.5516655933570815,1.4798585534020787,1.771937208287227,1.7254535573340488,1.3304530591170582,1.1871139358818779,0.969356108749119,0.7662348434341092,1.1274957180638436,1.5056176673190051,1.7998019710204667,2.0253973269705945,1.5232895798219217,1.2246048674992893,1.1581043286283026,0.9019484895852585,0.766801819834585,0.7188880578136788,0.6933554969115642,1.2743536243989617,0.7661072278422116,0.7049210064322315,0.7803694098323358,0.9764033517882625,0.6634018742214485,0.9532319038133064,1.2297079962406576,1.5905084640008325,1.793401981006426,2.4166468586850565],[0.5967987774286968,0.5082236945739066,0.9112672026395637,0.48558146536666347,0.7914845746546141,0.4309993003706515,0.336802814017775,0.36479338368361575,0.3818353595647324,0.3135874075422641,0.31111247378140594,0.4195781482168179,0.33816052916610573,0.32980440298873426,0.3646631250636513,0.37097655070607705,0.4235057298059854,0.3927737273683547,0.4624762634115452,0.4945078591198463,0.5528523592922697,0.625835499647726,0.7738610910777688,0.882935580769782,0.8887723253953511,0.6490282375196021,0.579817288439832,0.45804445056283605,0.43494539602187776,0.43197418515683694,0.41191690268157066,0.4277570116211001,0.4588000068622106,0.4225436043009191,0.4528632663820083,0.4565189052198601,0.5064434071301884,0.4991064559641501,0.5497770312813547,0.6420787616112733,0.7171783846705418,0.5797845374194515,0.6463863617870004,0.8048497365639904,1.056810602665178,1.5144143241643582,1.7351374487079634,0.9693027351609551,1.180539731212986,1.704079177041282,1.1615887473268056,1.477081555153656,1.2001307593012227,1.1015701000893388,1.4995390691998278,0.9139981149313708,0.8164858742320154,0.8301713218331646,0.8605961885699374,1.0775452095663192,0.7350394859141279,0.6666473619658428,0.5716226280827112,0.6577484446987745,0.5875724123244033,0.5573309808244262,0.663102427932929,0.4529691044158127,0.5594021125824796,0.6834380354011236,0.7755861912644713,1.0154828553229551,0.8573679911715162,0.7613761312478888,0.5426013153300717,0.8281476228427115,0.4479626881632074,0.4326922768506264,0.4645826964760792,0.5856508542210808,0.6385745545426832,1.002919329867966,0.7450799144753653,0.9292014901571756,0.8161039364105057,0.6774274031968975,0.5866684934527121,0.6156003620233244,0.45955271578479734,0.5055893007583097,0.44111902320368457,0.6922859151777793,0.5627874864023237,0.42609298134211093,0.4187343344184552,0.5269235959105201,0.5380056082567205,0.42018723864478463,0.4123227818472419,0.595655434232766,0.469271052574275,0.6376259190519843,0.5425333170234433,0.5934088783524751,0.8626010048420246,0.8052466582703962,1.0375822883229762,1.2004901189082928,1.179096914311653,0.9707302270016712,0.8824013509626479,0.6982420100839862,0.45692000581616543,0.5277566012308074,0.37747054490011983,0.43634953909752966,0.4857527162380877,0.4284464568708553,0.5857031339219247,0.43474124320502955,0.4463737118949914,0.41222752542880015,0.4106493275061554,0.35855580629232836,0.37171601284817046,0.5790972964773097,0.6172156871772907,0.7409427112162063,0.8646848294064756,0.8837259242888617,1.170607924244959,1.2142614128999856,1.137291704123493,1.0081983385970534,0.9974836738646266,0.8461648861847455,1.0066916960676566,0.774072264403839,0.4768873206079241,0.4812037644718552,0.4924112659407286,0.6087871447702059,0.4744193585106274,0.4888270639350385,0.6742082327320468,0.4834846701804635,0.47897396964838407,0.5018110787739102,0.4947905816886214,0.4209945278320746,0.5275859359728275,0.43748994594152074,0.7404377787271009,1.379223788296403,1.0621271796260725,0.5006152007211541,0.4231964899235866,0.4607248624110961,0.5146804865911431,0.5997161922335568,0.6345165252259003,0.5550505930648049,0.5811403533317359,0.6233029570864186,0.6612514192417523,0.8217071415255642,0.9037572991603086,1.0603182653677212,1.1720901125783107,1.0038207925086382,0.9122990188620235,0.712792931590203,0.7656464799807196,0.6759536915449107,0.634307389836643,0.6426033431879926,0.5962909843766314,0.661532328313781,0.6377880122410512,0.6870893683767347,0.7564530292860919,0.7431583557847479,0.9073361636905578,1.0176820342209274,0.9523385999315743,0.8934653379551649,0.9239196977776782,1.051671682528583,1.8326193995165156,1.1807705699831321,1.4873623406954015,1.0183090523510414,1.147919487377675,1.18232156866745,1.224356850582635,1.4855413257435623,1.4100011534179036,1.3484406253939565,1.3875211361026532,1.454996173711549,1.203098263397584,1.0017687527598396,1.0991662074641209,1.1172766216171515,0.9594899898485241,0.8470565311390381,0.9879682118887753,0.9113360546853903,0.8017952522527452,0.8041162345043185,0.8422555450343112,0.9253298963115963,1.0434370447723689,1.1065373827998528,1.174757594422673,0.9805796912276787,1.173922552109694,1.0875085386041767,1.0022816772442467,0.9658509026580357,1.1069331309427448,1.4152538553342293,1.2419753280515737,1.5161838786007091,1.1715935676986569,1.0938604424942429,1.0998851011166673,1.1906959219202324,1.2316658213459701,1.1911936856944323,1.2600066909791894,1.461746044372625,1.523113721271531,1.5220382085907267,1.7914626153680757,1.986307004112641,1.9231691821879455,2.362917550618638,1.6435614801075715,1.3811575866780672,1.215491000825762,1.0131845018263022,0.9712538328214556,0.9794540014941079,0.9718925926065876,0.9256712880982045,0.8660881367600982,0.8618072193696404,0.8929573748023911,0.8269294162007068,0.8700870068179968,0.9894065784350832,0.8497529048640658,0.8527549154994899,1.043650258220087,1.218609341701282,0.9639907657830203,0.9584789343219243,0.8698506713594828,0.8378272686705404,0.8186557509166172,0.8818787569991638,0.9030420417264009,0.8744019552287773,1.0091147040969648,1.0833632981726453,1.0820433601642447,1.1962767349511547,1.3510471807481166,1.5730049673947348,1.4214325510962134,1.6095144189986315,1.648843887814335,1.758638376698852,1.744648874710267,1.661316007178943,1.9155606158310887,1.8387559738173114,1.4025028830836421,1.2653377353119868,1.0752932753064215,0.821029839764938,1.1532408339538078,1.6519659333186008,1.9807905113079605,2.1732850898997484,1.6929573741633959,1.3475106540850643,1.326404714552764,0.98888280277736,0.8861832623353694,0.8502519701720022,0.7940536468649301,1.1559315108293158,0.8484172809012765,0.7510112428581859,0.7600316048797949,0.9461271562389238,0.675164419685658,0.9956011933800967,1.2739040526011656,1.4825427482685094,1.8335216217465558,3.0522286092993043],[0.6085083662463485,0.5020836114786076,0.8932607484826243,0.47881250702002115,0.7959117178028988,0.4250567648330337,0.337144781576849,0.3557822276289738,0.3905233225901828,0.34493921605565775,0.34493952417648227,0.4063237631564714,0.3658919528784631,0.37468453278918673,0.4119895773171471,0.405765830069328,0.4722896014044608,0.4588179252924272,0.5517950404773166,0.5728816754159262,0.6456315000294035,0.6793040671087079,0.8653095737501195,0.9833557595025193,0.9768144965166847,0.7682356141652261,0.677680760741117,0.5395224526048,0.48823509893530054,0.46345399606375826,0.4620005136177796,0.443660357867919,0.4746370491039298,0.45593822017172997,0.4777555366661969,0.4976270759940671,0.5293260884875559,0.5422633215766617,0.6132302136743366,0.6968987714469264,0.7695427733004953,0.6377734156287853,0.7178078340944233,0.8559591152902366,1.0628304476510102,1.4970087551071378,1.7857871605165092,1.0361354394761229,1.2051559361833981,1.7978710098608492,1.2922863157965492,1.609114045555103,1.2903277351307922,1.194132637988339,1.546560376050592,0.988139358317096,0.914162732304728,0.8740438130376722,0.8927181162592639,1.1546986208451533,0.810754046340325,0.7251947577805002,0.6176445689324743,0.7488309592244095,0.6760470711557809,0.6301378351544799,0.7548347303381141,0.5232050690210293,0.6401313590989328,0.7174050746798596,0.8147604926088843,1.0465552426229354,0.8704729938244956,0.8190518647785794,0.5922229920181334,0.8965744342552652,0.4961106630138883,0.483702979114554,0.5041891712724843,0.6209017233931056,0.657005482419777,1.0466278651323935,0.7753066174669746,0.9799720685993355,0.8773023014246601,0.7152677812699039,0.6271324570340552,0.6364020761831825,0.5059767240609458,0.5296137398196952,0.488089559543716,0.7341255895895745,0.6000658955945511,0.4811829173886322,0.46249598808061726,0.5773498192588716,0.5846967075838573,0.4311429490701846,0.4179726763520434,0.5905925977484608,0.46336037026996457,0.6147991299263724,0.5342338755878341,0.5928160042576848,0.8870781718478871,0.8158201086622328,1.0413331601446156,1.2187996296742558,1.1849657125240098,0.9705071852599602,0.8804201944124851,0.7000673909386332,0.46458035821869303,0.5462180117728079,0.4154652254661642,0.5065316594439722,0.5400427426463438,0.5463867721004343,0.6974433755718585,0.5046549077053522,0.5236477799698437,0.47355772127967577,0.48440330947874344,0.42071493871484866,0.4109710868451095,0.6085971825418526,0.6225738310608313,0.7614633681799986,0.8832935546003454,0.915675375210779,1.2206113941997612,1.2619526786353648,1.208576560413387,1.0610595226301964,1.0642360021001362,0.9055628296359938,1.0821405975299194,0.8749826554912741,0.5978946953243944,0.5802725408706242,0.5891974546082538,0.7106073765725694,0.5993490710350262,0.5980688306970202,0.7465580323935633,0.5399295058596323,0.5367959845422344,0.5191378649930265,0.510612094187157,0.4344432751854208,0.5131436111918553,0.4445402881020258,0.7597751669697713,1.4145652746744155,1.0930260487693255,0.4958774438955193,0.4161456628422645,0.448464024848081,0.5116243894922053,0.604453981892519,0.6642539058162724,0.5944369687295685,0.6558028121520546,0.6959522475971037,0.7348107622852809,0.9010278812671918,1.012748660786165,1.1843999725031862,1.291284516186787,1.1121399339184648,1.0214041440227488,0.8095485116427967,0.8353071734981461,0.7273572253756738,0.669404065068914,0.6672857311165646,0.6138291923314344,0.6602640070241517,0.6665150567031589,0.7070682868396985,0.7890248614683452,0.7756068922235664,0.9614127295698097,1.085506322048129,1.02299800456952,0.9421447149343976,0.9612675916157092,1.0751685408516956,1.832479164569446,1.2663789479572864,1.6261342910442744,1.0991166290253997,1.265519256960984,1.2865919526464422,1.3299518466452902,1.6067923100026407,1.5049854617707954,1.4209544837303119,1.447118431533161,1.4744545274025176,1.2315785546124405,1.0090476890081985,1.10129957359163,1.1368156378154848,0.9710243610619359,0.8499000420396897,0.9942861989449783,0.9328560324039487,0.8188942148065019,0.8144776763265718,0.865822103375921,0.9667249197514172,1.072016999111754,1.1208453100202285,1.2079898758505156,0.998856372606165,1.245617391549233,1.1768576089364247,1.0623981889895304,1.0289444563684376,1.2002742718319421,1.4715970014193978,1.3260778409740355,1.544837143867452,1.2228227246379577,1.1456629091872015,1.1270921742351783,1.248919109327079,1.3061019834421992,1.2491518061386542,1.3218006392204893,1.5598467794223423,1.6153462013510689,1.6068884528886072,1.899986581804904,2.110274940963668,2.0289072753202726,2.433999639344883,1.698278011543891,1.4297095525535735,1.2674570612011795,1.044318478489288,0.9958891009428724,0.9879201621034702,0.9739111717669005,0.9422264322288664,0.877599083728907,0.8740122155305292,0.8963331943681786,0.8375230629963515,0.8991201059778873,1.0226915635187328,0.8783097242290503,0.8909588753226193,1.1083649549436798,1.2829349810999935,1.0148889701989678,1.0166754329538232,0.9135396990988943,0.872256756800163,0.8399027840242209,0.9144378491840605,0.9416360906514514,0.9015620523540041,1.0445336775856435,1.142230766435817,1.1333400347981553,1.2490566605564168,1.4394249779702466,1.6746156184601462,1.5021680255487582,1.716146027912049,1.7944053344110202,1.905707922199186,1.8813152543112186,1.7675390104303939,2.0986235376955023,1.9968749235608627,1.5352284588949745,1.3503495659373206,1.115741842436974,0.8275973976716469,1.1755528907212005,1.6650280249708778,2.0348067818908815,2.1720307032964743,1.7164711528986158,1.3433822819885262,1.3489203887974937,0.9969772707005115,0.8896047303836219,0.8460728279929801,0.7895951587856406,1.1648272683876946,0.8478754857979255,0.7533658063151423,0.7767489556188018,0.939307733114324,0.6870502281178268,0.9987100383716501,1.324521182526852,1.5762220835342649,2.019589028973837,3.225306836834649],[0.6569668169077902,0.5501250647984518,0.9081199806199097,0.4765066930108831,0.8384860637152348,0.463263037228405,0.37227458899538474,0.4089150259900311,0.40308045946226423,0.32643832857122645,0.32012514779265455,0.42722348898954693,0.3429860295684712,0.3147840643785832,0.35952769460064016,0.3518859141167328,0.4119703958406266,0.404557733545607,0.4807800775917836,0.5052010750703818,0.5633981164995328,0.641434239362487,0.7648665076005913,0.8800577950665989,0.8823935848278271,0.6706343077785251,0.587222345380769,0.474693287659202,0.44456955528988157,0.4330937314237471,0.40122904020075145,0.4149080342786,0.43801799468258895,0.41114605285953526,0.44149310146272275,0.4489225105996134,0.49019616000378,0.5052997737496651,0.5491281952945875,0.6303498168353902,0.7200535622688048,0.5946196406162626,0.6482831763036662,0.8079154804222325,1.0483443411963689,1.5087705868895995,1.7430338862201145,0.9683383314005644,1.1989656859551936,1.7183427349036544,1.1575413560641084,1.4456334764249827,1.170258217338485,1.0704037654454697,1.4677679442729084,0.8900222484094533,0.7988100024655429,0.8136147347149516,0.848455278943481,1.052765843929713,0.7229453281724818,0.6481823328425668,0.569049969056269,0.6860258451856198,0.6088551736820105,0.559638981977727,0.6923005258920448,0.4808377949507892,0.6126225514590452,0.6760886032332392,0.7878824043333796,1.0266818204288226,0.8689075897555759,0.7934933321493217,0.5472425872395789,0.8636444934473989,0.46473484205220233,0.43514124130574816,0.4553186885881295,0.5824469330405098,0.6037725866758833,0.9666921487409821,0.7288620474316813,0.8776648937239243,0.7969258061172461,0.6585160741890534,0.5770048770872475,0.5985587039229026,0.44938266468710797,0.49255777915856175,0.43961445697935403,0.67935754812603,0.5513980923651561,0.4102343783006678,0.39813583166664474,0.5213218230156941,0.5211698447071941,0.414301802672489,0.43240147994375927,0.6590631148863592,0.46965073466675444,0.641673696803217,0.5558453210637293,0.6063833739519183,0.8298958514239588,0.809772622602474,1.0337477047869121,1.1816463407734927,1.1687021770708221,0.9733666541131806,0.912576369777049,0.7137207943976791,0.484665725664374,0.5496895923302355,0.3794217836811217,0.45287577215880037,0.5048479236236763,0.44673664685504694,0.6221235115666145,0.45620257532284125,0.455578778414212,0.41853916380923234,0.41225180249203475,0.37510223946206556,0.39560335875764063,0.6087286757906196,0.6646652306244905,0.7527491214934823,0.8631685149423857,0.8629744777603563,1.1425844870685797,1.2051231889141718,1.1234874387934457,0.9918467422941389,0.9802307636638933,0.8372606634018835,0.9837816783486724,0.763125813572118,0.49554196263921574,0.49458261779212,0.5186551157170535,0.6118329012806966,0.49712724100268874,0.5089679734129708,0.6763556961707223,0.49335673028893173,0.48719237329895343,0.5168298954767454,0.5085296698987922,0.4433133447708933,0.5761346627826708,0.4516490007089196,0.793326489951884,1.4154223462487123,1.0654481939469385,0.5170973311090239,0.43161665028260354,0.5063630015121913,0.5190689128539235,0.6070019445151567,0.6334422430560374,0.5529060498197981,0.5768942589956976,0.6146613420511489,0.6587024121880535,0.822704377796055,0.900499085781346,1.0641371926951413,1.178659068644964,1.0038648441957376,0.904958917789439,0.705215917148643,0.7596248295167463,0.6627761769346677,0.6188448375497111,0.6327045827833581,0.6080268392677708,0.7039856355448115,0.6244202207778377,0.6918379166568845,0.7434397399836089,0.7273629017124332,0.8888069076429879,1.012953025314282,0.9460507556079976,0.8970790833899077,0.9184490793660853,1.039149068141356,1.8403724072917151,1.1604625310723873,1.4659966634316908,1.0096041724050533,1.1337588908724918,1.1745409158473006,1.213732963886618,1.4577908454538073,1.369916532806682,1.3112171982583456,1.3583315429124752,1.406714707720076,1.1832323257107793,0.9909381954103896,1.0936303538958854,1.1224445452258605,0.9688595830787523,0.8826964090074065,1.0524445138372436,0.9709516576542493,0.8660872881564367,0.8459582148977398,0.8946452362425306,0.9829919650481147,1.085075090278528,1.0907566789144176,1.1482788202892737,0.9958961726835471,1.2515303772455422,1.2350202396107628,1.0987985656454213,1.0496957683094053,1.196139030268927,1.5057758067391795,1.3351349778286756,1.559031017415325,1.1753352250179716,1.0951636794339095,1.077484765757899,1.1608530981082739,1.2379009830335508,1.1750997961240643,1.2313271003148687,1.44105311497813,1.5250920524986062,1.5066652143501877,1.7332179029387869,1.9747458976558339,1.9347161862873898,2.318078798651277,1.6566932938220138,1.3491726618441093,1.1620606039566554,0.9842049687819034,0.949040927910793,1.0279376773040463,0.9509522111281961,0.9197666825102359,0.8964558327934945,0.9241562406506437,0.9359421660499221,0.8765120972088513,0.9791487566009126,1.1082801563662923,0.9438592465959591,0.9672703785125997,1.200316610448261,1.3541990924199248,1.0717774824789055,1.080746909410489,0.9619733959916358,0.9171108814196703,0.8687834780853934,0.9144347881632042,0.9634266795047678,0.9192326341964693,1.0205157977972763,1.1195337286643028,1.128146381444314,1.2200369168274314,1.3753974602868224,1.6503712560021289,1.5023213082534161,1.663015074912587,1.7297876633214364,1.8824859894886392,1.8704758757562496,1.815077779979921,2.067618298949058,2.070691250201678,1.6751863155857356,1.5358584212777986,1.2264207403525424,0.9385277292830022,1.4953396066122795,1.852146321107377,2.132612131248278,2.202511062741657,1.7137125941734026,1.366285112210409,1.297217281426727,0.9821630156832817,0.9564001279016039,0.8780886541530083,0.8241500793901444,1.185976327024238,0.8976650395857287,0.7828546691973356,0.85306665853974,0.9643638788279695,0.7563566368450304,1.008977103681655,1.4109016351713461,1.6803152327807727,2.3372344897822077,3.558098579787642],[0.4242852098578538,0.4906017849153596,0.8467581612689661,0.5367009893278007,0.8836035090817448,0.5192830018417202,0.4532647154197748,0.4672974500655988,0.4818525578146925,0.4554864066825574,0.47190636920014,0.4985037261407963,0.46886502121937484,0.47746864760961627,0.5053313173463793,0.4879773080457497,0.5589616219685272,0.5576050145720879,0.648798825159306,0.6440507515762045,0.6951093682872307,0.7426676954454121,0.857470123036214,0.9895953678764645,0.984019633984723,0.8227970898021,0.7275749524675419,0.6204936718416343,0.5706241563039509,0.5465128539146875,0.5455314900413446,0.5101655154461939,0.5458870071755981,0.5380132571063613,0.539219279154903,0.5508787566061061,0.5750253830602098,0.6145531535717726,0.6684992382780023,0.7178487173060195,0.8198198693865141,0.6960331415138243,0.7621351195314311,0.9092484925861517,1.0924082897140068,1.5059204678271332,1.7619315256932981,1.048988706003199,1.2544455462438735,1.773753137702935,1.2612654257565616,1.537174310845676,1.2409239773793692,1.1663380217990318,1.5167818186397566,0.960460287066013,0.8945106967162574,0.8945917403114104,0.8987307223253017,1.1102880953189667,0.7985066019404838,0.730859974675924,0.6550303244049626,0.8172369484507268,0.7183342114147819,0.673312169820544,0.8225517760042471,0.6134852270186751,0.7453186214553765,0.7533017063375789,0.8741420355393842,1.103048583379512,0.9317163500849263,0.9259121046302548,0.6620023005393021,0.9645010680740032,0.5796191777055304,0.5813804026066846,0.5650329928669147,0.65260829949175,0.6398384525255406,0.9961045182166004,0.7753110514975433,0.8970723559939868,0.9024061552919512,0.7327840570494704,0.6695388788397615,0.6568102302192295,0.5576340092760445,0.5892484281538213,0.5750164511640126,0.8019959065799862,0.6746344867885015,0.575975035200342,0.5425173806442511,0.6698795265106083,0.6399175784058213,0.5140158996550269,0.5138753885941831,0.6757586096231424,0.4992689250192299,0.676098689469025,0.5812672768006936,0.6149835994245926,0.8251926995540307,0.8069215568683885,0.9749758580071199,1.1547643948432675,1.1468448523284294,0.9486791565746466,0.8857277904032118,0.7130698973259749,0.5338168576628438,0.6113060203209539,0.5179663118603393,0.5944040247140331,0.6364172313681572,0.6123682534218964,0.790614269222673,0.615348789211117,0.6210015428667369,0.5661392111587302,0.5816368873567682,0.5256008353551749,0.5212937650410162,0.6690467553281672,0.6859851799598208,0.7773073733393294,0.8686068130882617,0.8647540620068721,1.1333370320129128,1.160190467719424,1.1028869561614856,0.9611345607777014,1.0009960434422862,0.8941423741720801,1.038201405344607,0.8702522439678865,0.6327704421141787,0.6294186959853009,0.6829780024938076,0.7310184900024871,0.6659588421117241,0.6463235363452445,0.7783235082828087,0.6096159232568702,0.5942253717765146,0.5965314275066865,0.5569382704624609,0.4924165152545551,0.5834051193560501,0.5700097444811357,0.9105493279789227,1.5416568873609438,1.162887979587022,0.5942798419803446,0.49728690439142575,0.5212212188608124,0.555226412127761,0.6246493983157255,0.6758005060181445,0.6142219374945161,0.658732261392069,0.7037059289225742,0.7033292201427677,0.8552633271489359,0.9656039233170244,1.1317980923388304,1.232964363705321,1.0929658937549203,0.9783489425443277,0.797502534842759,0.8062281211183798,0.6943325350899889,0.6541328565838219,0.6570298848946196,0.6489690246608488,0.7437586002280112,0.6584183435758442,0.681113769807392,0.7247021584576719,0.7277235057972913,0.8600713458082233,0.9897108642809453,0.9519052133417792,0.9085014832762008,0.9537326887552623,1.0631935850329233,1.9341806593140587,1.234359753994086,1.5885562527330848,1.0588677599748186,1.1693191391919349,1.194508411087443,1.2046211626847796,1.433687687844234,1.3664593916838574,1.2852430196378384,1.3160188398117147,1.371418641222509,1.1080415629995604,0.9180211103345293,1.037463945536423,1.0501152408367247,0.8858518821168228,0.8208282796551912,0.9913087606180128,0.8902894025627412,0.8137120404249415,0.801353999061938,0.8399346320426543,0.9316157238081152,1.0449054488005636,1.0052526077210293,1.0808430932304622,0.9497731657236647,1.2041308627694907,1.1694692367954882,1.027648390390029,0.9839734665522085,1.102516221121252,1.480060294222895,1.2527613926104235,1.545437327133914,1.0861241882002173,0.9871262319434204,0.9730896405132343,1.0605462463769435,1.1363098531433193,1.0916096048987085,1.1640345584182692,1.36847745864672,1.4681217029928189,1.439785135852441,1.6821347487336544,1.9274957709273133,1.871565137317769,2.2905083253127136,1.5864391708706993,1.2832394230296063,1.098670535119946,0.9224767340909499,0.9089585226288062,0.9885621567639701,0.9246547725217238,0.8614157743582767,0.8550687609824054,0.9123103608790679,0.9228461151361707,0.8285409604473337,0.9840440939570996,1.141848130115942,0.9288771828482749,0.9554007001616283,1.2360525225044157,1.3667308255989128,1.0477926536503035,1.0550916254534206,0.9228783040712937,0.863299083899264,0.7992641548584324,0.8323259639121917,0.8849970070419102,0.8388629683422321,0.9283824343487697,1.0228774149747974,1.0458096702340867,1.1317820097282603,1.2722943106051463,1.5638885775076057,1.4181055954416693,1.5752150255156938,1.6331228698647327,1.7900137309779904,1.781340387080112,1.722515830049753,2.0036212236639526,1.9867853666595663,1.5949978086291587,1.4473986906361067,1.1550024947630562,0.9027093290351006,1.4129770611081782,1.7616897115812884,2.047265595178963,2.17176400714077,1.6598476164196627,1.3404979085856719,1.2568206422580614,1.0030576809850456,0.9153899450196125,0.8338863435043927,0.792735215940187,1.3081250105669175,0.8818273347062213,0.7604429706116367,0.864138020048504,0.9930974861752961,0.7385163606819408,0.9701834100136956,1.3597915646764993,1.6503682160691608,2.1474609690147304,2.8904460616481336],[0.46393765085212385,0.47626021259646567,0.8427067928223045,0.47003107061820204,0.8645531534438834,0.4752806467129745,0.4169057669055761,0.44422164848148954,0.46441663364117725,0.41633793552090853,0.4063082659896608,0.48083942153986453,0.4305281355029339,0.40709515285502135,0.4395637929859796,0.4467587645469397,0.4920779392353132,0.494939901689898,0.5471196884797408,0.5634240509972784,0.609099676395483,0.6972529393631242,0.7587691671709718,0.8808289467542482,0.8744833827878011,0.6901451952021773,0.6314528617788532,0.5420006538125696,0.5214331356802983,0.502598468940938,0.476954098735236,0.4896760575300426,0.4968191495907183,0.4830373525848908,0.503030199466403,0.512053101770095,0.5340435230722034,0.5654570986079751,0.5856826551839781,0.6509246511561361,0.7556413431957344,0.6666628016893613,0.6923614831018499,0.8532857393159873,1.0889310981121758,1.5641492002794928,1.744788338777846,0.9792477363831692,1.2719480800753746,1.6960244689121577,1.1075750778867781,1.3621933263403203,1.1340218576694188,1.0311792413804586,1.4353845440005255,0.8715025840116813,0.7958802890079706,0.8280508840026678,0.8754245428428128,1.0285736857497254,0.7524703992652234,0.6975677872894371,0.620931707534531,0.7262788711302227,0.652097894322631,0.6066129428721259,0.7358629633937502,0.5485121423028216,0.6747494402458805,0.7108174320560626,0.8202353389800232,1.0402349319370878,0.9007463939632423,0.8167982124296816,0.602064357386334,0.8787757433925925,0.539297342472225,0.5001694604665707,0.5205638310906697,0.6212355574573047,0.623049433747997,0.9599790923231781,0.7399841151429052,0.8269805159500493,0.7947096663441499,0.67574184790557,0.6198343423309706,0.6320031023635727,0.5212292888634931,0.5667610197744132,0.5099323540555014,0.7120839986187352,0.6008031180415432,0.4709346741351889,0.46897878021499084,0.5716415760606157,0.569848289510942,0.4879558538464127,0.4978469013625969,0.6794430974491036,0.5165813316411859,0.6595498595837432,0.5823493940620057,0.6086470183636264,0.8051991650399107,0.7878695590474779,0.9798124756956491,1.1196949253887263,1.1228655034827744,0.9408938531450899,0.8937336770388017,0.7192916400686419,0.5181416456899915,0.6107402930990952,0.46863092386344113,0.5312071813166113,0.5927945329118818,0.5032790522798889,0.6611185740053493,0.5518694762346562,0.5371053860156341,0.5192441337596492,0.5012156211418214,0.4690395471515261,0.4906053074754196,0.6774621457367483,0.6892370143718227,0.7551009144173729,0.8371940987369857,0.8182985662064177,1.0576538717296464,1.1127311350211384,1.033210708543343,0.9222941383757344,0.9226813788734773,0.8218915517437402,0.933773977944168,0.7383286495612873,0.5121565333344416,0.5276007984735346,0.5401110236528173,0.5823877236130256,0.5360119247509773,0.5592106828451763,0.7036090015928269,0.5549234033817521,0.5458502141677108,0.5695387811013144,0.5464756481321514,0.48132848926437466,0.585405373231276,0.4796711349275706,0.8128119175233434,1.4197755005846489,1.0689690930314055,0.5404503001011637,0.4778506596148729,0.525658217165346,0.5545381465740612,0.6135678193833224,0.6432017808549831,0.5764812598704596,0.5938342459138132,0.6270033181283607,0.658428696948796,0.7981476610071435,0.8614470520060586,1.0084730899593,1.1259190410675917,0.9763598954424278,0.8614895179057259,0.6907968571766153,0.7432011047346796,0.6479207108856536,0.6222402426388961,0.632876585538703,0.6359722554788914,0.7468949840714141,0.6316991989823645,0.692179201719871,0.7279729681999773,0.7027027893615188,0.8299692388681744,0.9535152847969944,0.9040727626716045,0.8962151552183244,0.9278571892011308,1.0268801660428017,1.8817429703500927,1.11586498373979,1.397545717653052,0.9795165318373861,1.050818337077831,1.0966142132724812,1.1012802234727017,1.28831335558561,1.2407497199805806,1.1797007876957364,1.2250058074736145,1.3092418625981408,1.0620584722172335,0.90206044996706,1.0191154770122255,1.0200221004209042,0.8735002360729772,0.8237113622909784,0.995999540469773,0.8864506568974058,0.8168181536358482,0.8039921988118499,0.8429063199457303,0.9257680974696368,1.0361337762640144,1.001817149266865,1.0786281177248098,0.9545683113481849,1.188809921022864,1.143473218530522,1.0057565685232355,0.9728274527846466,1.0625036729082904,1.4825747131071432,1.2095795738353934,1.5379272541310522,1.0471415142688856,0.9515928437122444,0.9400238211606434,0.9994942834848161,1.068947214940799,1.0315997062488242,1.097761353084668,1.259313779562734,1.3712640187849794,1.3373467057742845,1.532438588948145,1.7504616411600384,1.7369410230106077,2.1492339206488027,1.5150597469165383,1.2116935000246285,1.0254631107211418,0.8903665525643168,0.8937066422958313,0.9989360183625565,0.9136265259926609,0.8567190266826321,0.8535604711892129,0.9090348882747107,0.918675977762581,0.8339216953328752,0.9740530834102886,1.1182441924653157,0.9241344589975159,0.9422382996957807,1.1950917142693225,1.331577505168689,1.0292668439898793,1.0325964987435141,0.9134094811450351,0.8604016529415571,0.8023607445938742,0.8232179633907084,0.8728547426937638,0.8320741812267262,0.9035912125838793,0.9862973333538865,1.0170186202687737,1.0824951547435733,1.1903362022237836,1.4899907231223963,1.3525011019318611,1.4726316423094754,1.4989980714271247,1.6662562668185736,1.666069180802289,1.6499425793178526,1.8419100993459618,1.8678815293084652,1.5526377963866556,1.459766857981477,1.1670790653944418,0.9423542711300852,1.5355832460140129,1.802751546989548,2.0084263898287604,2.1175291422075495,1.6050390763412676,1.3236516471490951,1.1991806508195408,0.9647057507046618,0.9385321867763856,0.8357087268394048,0.791941652947676,1.244550808841454,0.8826704470840041,0.7583211823237713,0.843614985504256,0.9735615578545146,0.7364482458504082,0.9707339554085835,1.3410780147556827,1.5772041941232753,2.098480881338495,3.0785697336765283],[0.37924483395052694,0.4387256142935132,0.7886298936864506,0.5926732772684832,0.9913939986297247,0.5583177380301633,0.5155887798688418,0.5042671734513607,0.48888486827369154,0.46554645900655106,0.4278211454526306,0.4961601845070052,0.48907259095657085,0.4342839773906318,0.4565147014450826,0.4863790630013923,0.546680509229268,0.545725249842018,0.5887742576094084,0.6280027647371204,0.6555492727248987,0.7590059194796714,0.7907505513308106,0.9200691060677085,0.9143553995808431,0.7373559757199714,0.71512550192505,0.63470621196312,0.597619806158862,0.5821302307066482,0.5069165532147584,0.5463436302589902,0.5260708941620982,0.5209791727976144,0.5602799017812577,0.5855813136931561,0.6050718401864289,0.6633940920905205,0.6874263920585308,0.7452801773280014,0.8528072273469386,0.7546387931785524,0.7753396664289764,0.933069673256712,1.1348861247132795,1.601221975982854,1.7397637826475565,1.0197261047746848,1.342815440118074,1.6702232301090625,1.1239585347813708,1.3727656359324776,1.1942605266300899,1.0777528487824153,1.479612370776663,0.9428695421684385,0.8568548475862553,0.90640419026633,0.9605612533532221,1.0593891082195868,0.8073976416749886,0.7472128187803727,0.6805838127966084,0.7562039620339724,0.6905655208243349,0.6579597612196237,0.7382813765749288,0.5778787222187943,0.6698348924660602,0.6877827877794702,0.797741483389716,1.020350840563407,0.8723002133971124,0.7941700956534182,0.6137883105889808,0.8504362481543427,0.5873712513528947,0.5433558688575506,0.5889667830900006,0.7043699743956835,0.6995840555553657,1.012706212068585,0.8270367989245254,0.8883223287676395,0.8797909535861033,0.7625770204741246,0.709350858133777,0.7028914334001568,0.5980102430878764,0.6127564569721523,0.5443602867625189,0.7027867535463255,0.5909299088647,0.4628920540847769,0.46877524871929765,0.5422516686352082,0.543914694068798,0.5001838489092865,0.5184016051762244,0.6814964211911894,0.5530436719498802,0.6755506917508279,0.651551171944241,0.6490940695151667,0.8337729766682958,0.8521861311201162,1.0132165417867898,1.1513341310576015,1.1645704515862214,0.9992436865996513,0.9495357613396134,0.8135793060114986,0.6296450346778566,0.7319509420163489,0.5673923704277976,0.6344001617453934,0.6845565328291766,0.5868683642522534,0.7003837614309667,0.5943500104291666,0.5589464891820679,0.5600840538127874,0.565484416785313,0.5662936706430319,0.60184032802604,0.8119296478730348,0.8075655021417546,0.8530788826541068,0.9146579421981843,0.8900612312448606,1.0914428926119946,1.1356159196208861,1.0656941807436675,0.9702549994861112,0.9850113010119038,0.9086851983634376,1.0055536086589096,0.8270625202073377,0.6274538425499535,0.6533097821531072,0.6516593533388757,0.6641311696736342,0.627975797362858,0.6636647448061759,0.8044199481634183,0.6634686576724359,0.6523914645471613,0.6751960607603308,0.6472013556634818,0.5548484822721517,0.6470799301496422,0.5081385072108612,0.8235350394490771,1.4200797723987573,1.0751192528814137,0.5520777289287813,0.5168757837921449,0.5738782828772526,0.6328292219320343,0.693243717648688,0.7447763854672316,0.680258631330986,0.6931685542139089,0.7254059183811032,0.7571283856031195,0.8414572577091324,0.9423897001169252,1.0706260780619294,1.1731027540161558,1.0665498207015913,0.9430227083804874,0.7943003654653438,0.837058551359521,0.7397491968847577,0.7238725240831999,0.7177522918122639,0.7227337892046285,0.8348011359003085,0.7268173569803081,0.791571694317738,0.7932131336219663,0.7801005237371812,0.883451986922307,0.9948337422634419,0.9647440999781413,0.9792759510634007,1.0063685041767092,1.1161156468533564,1.9904910270382776,1.1797511539401888,1.4512619919291312,1.0643851155555997,1.0824076011107506,1.1202669909900802,1.1171409477907417,1.2724144667775539,1.2467732076736913,1.1617776330048901,1.2038835555778022,1.3300931884729281,1.0272824226816326,0.8864731749370024,1.0259985418871538,0.9797029269678285,0.796497737114822,0.7584176784005192,0.9556575711557116,0.7850887105084831,0.6942701986803933,0.6913325295216733,0.7303830406724443,0.7868259766289574,0.9045621693428971,0.878333969602555,0.9459136853628488,0.8272853646471386,1.0386099856866908,0.9667268670003345,0.8666291733124756,0.8222004070746468,0.8703618736930211,1.4627937645374622,1.0135344954195684,1.4647936013179945,0.9309947486071447,0.8395349415842974,0.870749963120602,0.9000118020201682,0.9214097943746269,0.9184651857607011,1.0014498345270295,1.1184297568705934,1.2248147889922125,1.2386991632713964,1.4866656413087365,1.6217579924442598,1.6311277976607297,2.129878406094506,1.4783963680831085,1.1946573209974565,0.9819374607154897,0.8422852230866665,0.8626130540722937,0.9366614991863965,0.9076007606238655,0.8387320742625275,0.785114902468272,0.8742563888677142,0.883635138072064,0.7606726211497464,0.8921892365579162,1.0490862671425396,0.8302743936124589,0.82640240031242,1.082593507274905,1.2096707033807947,0.8972226422082715,0.8908490642397735,0.774581659009756,0.7253064153283385,0.690703921606415,0.700119349655719,0.7442235701285088,0.7166539760071085,0.7889072116870413,0.8518640427012917,0.8966168615661583,0.9801490531129488,1.053601760713894,1.3285718908236916,1.2209797916530867,1.3370150276740829,1.3273852281704979,1.4769355474136832,1.4911057160922263,1.4834490351943321,1.6350303290361778,1.6541263195759999,1.3289088575871646,1.281278926903595,1.0591943278880793,0.8828615155638475,1.428469056651886,1.68863548553519,1.858345615148361,2.0618438778660906,1.5535365111350545,1.3553971868925732,1.2125050386306697,1.0405354694180786,0.954180520368673,0.8480323718217019,0.7745685815430893,1.262595525423399,0.8914330894495637,0.7128263107255536,0.8017922574826231,1.0087765324100666,0.684635961694391,0.8952330846361096,1.1926845866927505,1.4883983505871041,1.8093489844581658,2.423483932575535],[0.7132176541391193,0.6323493713576511,1.0056642040904848,0.6798502875024645,0.9819067567415837,0.669369738565351,0.681189370168259,0.6797368207028105,0.6659594566355467,0.6548253346858772,0.6438063238197026,0.7245654965297923,0.6880389494971226,0.6476090208399345,0.6629902972737844,0.6958062879992147,0.6941817685387991,0.7150678817823375,0.7396913581686122,0.8043132456862421,0.8120466497434443,0.8926206508727467,0.9610431000212604,1.0468151504883738,1.0587354724372118,0.8599605757605526,0.8295885288764155,0.7690116983669096,0.7521111028457006,0.7547767723896538,0.698023250186649,0.7380978621971175,0.7431993914508277,0.7122922631342563,0.7541858757261573,0.7612867060480407,0.7915149047913886,0.8118509797045856,0.8206527279061386,0.8975879698727672,0.9590645865325632,0.9038224253325403,0.9104496468940293,1.0743724295178767,1.3234684573648925,1.8100894887141101,1.8937354184251542,1.204555802477292,1.5191931337010378,1.8131217295623814,1.2341581242527868,1.415752783917651,1.2844117012566514,1.161598945898701,1.5868079880019044,1.074334066506097,0.9717757899128413,1.0344956155852632,1.0910588765467029,1.1717681391638475,0.9883726769873479,0.9202565931793759,0.8454659080100397,0.8782788820034803,0.8576359857883958,0.8283862603251145,0.8680549331818266,0.7523009728527443,0.7737411106740327,0.853763611438958,0.919341807752217,1.100345134540052,0.9778777325600005,0.8944595999090864,0.8005918370640496,0.9613632510390283,0.7755093279823877,0.731734415925696,0.7751602626742466,0.889190116101152,0.8935164495345639,1.159859656025459,0.9841390131327226,1.0455313061086957,0.9771453228315925,0.8996599754050547,0.8493955262870527,0.8814920640861729,0.7768563912913444,0.7873706225333396,0.724843127305351,0.8226549423103563,0.7722074182868528,0.6853913552830018,0.6872437314678899,0.7206306268974161,0.7458655876851666,0.701999118230413,0.7015207013874484,0.8105635693879976,0.7445602847574059,0.8568809110769015,0.8255866074843989,0.8241970127354219,0.980638168983095,0.9368743223681654,1.137343299074085,1.2162576061269337,1.2118470771800967,1.0953819413670047,1.0319618120628078,0.9202694630320905,0.7590807061004399,0.8455354816388756,0.7146906710422072,0.7731190741052185,0.8438920394844333,0.7474536218727649,0.7959628513461651,0.7481366983244324,0.7107541906071383,0.7226175883427314,0.7356720278102461,0.7228355870691076,0.715017617358614,0.8828254065064121,0.8663861761872386,0.9420885971221332,1.0264825762088385,1.0156926996755853,1.1566835694844366,1.2113231455679878,1.1365528415429147,1.0757730294070704,1.0685348640671724,1.0076458210732795,1.0475098932881985,0.9033044590808129,0.7751387581934829,0.7927960758005395,0.8010276475292479,0.8369359424784797,0.767445384821858,0.7793497342899822,0.9025933469348382,0.7998788189504973,0.7950104619230739,0.811020365027076,0.7988526202755875,0.7459932011705553,0.7838206286515228,0.6639720102243508,0.8425021745045096,1.4002928964843404,1.1189096777212357,0.7076684500089624,0.6951621083286155,0.7614707881343264,0.8047151981187703,0.8672513394318039,0.8753728383201924,0.8410862110955468,0.8375729921781109,0.8610821726248739,0.8931349457859107,0.9722325573319521,1.0038008781046068,1.1148641667259052,1.1978011280101357,1.0952065228516668,0.9879265447031933,0.8885464477240768,0.94776649919117,0.8774078382277463,0.866380403757324,0.8823655587309689,0.891091621599537,0.9771007318982278,0.8915150627733343,0.9393762156149034,0.967685281700116,0.9240321946393857,1.019896518201332,1.1045527502836594,1.0620840880083615,1.080341407283372,1.1091295265869,1.1979200634552785,1.9330432639325132,1.1933752963167563,1.3744653545220242,1.0960756913020284,1.119529016339831,1.1661006786181563,1.1699194541902849,1.3088967199463672,1.2645905220479388,1.1961688632557148,1.2439111767964723,1.3874764190966633,1.1048332202341986,0.9947597390165136,1.111555748346827,1.0480181137083748,0.9155821682288401,0.8963442105376791,1.0052698468382064,0.8678719885702916,0.8480038040916957,0.8685621857515947,0.8596491415206304,0.9551521830278842,1.1207004158769087,1.1602588928320097,1.1836491356507892,0.9530840024576523,1.1638480475965802,0.9525793325520447,0.9052202600592376,0.9059795177189556,0.9409388659760876,1.4165196548074224,1.0685023921000119,1.491982124405235,1.045090209714918,0.9560791835535303,0.984876666563628,1.0202059994040766,1.0102896935042,1.0017811760456223,1.0829548634198245,1.1845291712479096,1.2583897339981578,1.2871376780020478,1.5342842284115252,1.636144996809564,1.6349827038114297,2.1450634239781636,1.5046553998991739,1.2627636134971119,1.0726357650082496,0.92863209050369,0.9505919675764957,1.0353518806312858,0.9990072150112861,0.9333986074605629,0.9098261611905972,0.924497249089941,0.9705288306728272,0.8906165408008739,0.9734931420764039,1.1055671104004914,0.9533885741003096,0.9306925757862268,1.1283012432418642,1.2795190722459229,1.0391570294495853,1.0145708740092811,0.9133957360347269,0.8718636380276921,0.8432390176897604,0.8486474673912635,0.8699431764024884,0.8367909808357151,0.8993711156302829,0.9364474704652564,0.9614119090021488,1.0278615352424458,1.1055905107055268,1.3376712062990608,1.2126752866712163,1.3458075795581685,1.3195262284868372,1.4373776565592593,1.4360867115746976,1.414949242257205,1.519590626365525,1.5231177871956316,1.2062083582792837,1.144577960624438,1.0054262346750253,0.8481593867445223,1.2793558959319429,1.6346311550116917,1.7847640426015494,2.0188451756750507,1.560007617066441,1.361859977236456,1.2717809698466114,1.0947686883410523,1.0181065056197154,0.9617492535238796,0.884723698924368,1.2054195815345907,0.9807064043901905,0.8862771738411149,0.9038483501558412,1.0426541749211076,0.8421223136866106,1.1261268649582967,1.230520905499125,1.4064863937363032,1.7759528827427995,2.945877418258906],[0.3656403966468405,0.37822420036488535,0.7140241175016089,0.38316417220162574,0.8575620804957592,0.5117459293567947,0.45416481096109124,0.5009349230675776,0.42857311402160714,0.38988353940017173,0.39320288123597563,0.4981520762178212,0.44751007951057464,0.3789052278398628,0.43682595449857914,0.4715881990811761,0.4381511655138894,0.43107512919025653,0.4544445330829622,0.4908377134905755,0.4786784799259793,0.531934085514533,0.6944382643236385,0.7426681627114314,0.8093847189657121,0.5560300744843111,0.5297684790620588,0.4713777527528102,0.47683837764548537,0.5210324127561807,0.46441639446040617,0.5138752227013029,0.5555570699682078,0.525098903466614,0.5395202972965877,0.513718997338731,0.5759077596447377,0.5313711185722095,0.5288541819352517,0.5968629561704366,0.652193923538544,0.5627283178015852,0.5797772810481001,0.7012704471366428,0.920557431913118,1.445998856370192,1.513078662310933,0.8102078026075605,1.267930734111275,1.644065320519225,0.9114293677585731,1.143910347243467,1.0146195336501245,0.8986793052411416,1.401796590010803,0.8181806900736251,0.6856895233474617,0.768776771802522,0.8923664262542658,0.8969433037449829,0.6695314034641161,0.6347500811059287,0.5734162919994199,0.5890626232873718,0.5294715860889857,0.5111444646131251,0.6185485297677632,0.4819566827516106,0.5458469319301521,0.6543691255142191,0.7300535480240913,0.9605155470372194,0.8408544748195849,0.6907892824951353,0.546129324102975,0.7890318029403852,0.48311961672192755,0.4962963331574825,0.5214343466653811,0.6497352784224463,0.6897774483919258,1.0217900195909313,0.7618719304195302,0.7990215852289995,0.7506268338546755,0.70825750812374,0.6064797498307327,0.689806390280384,0.5111340195504827,0.5713842918528166,0.4821988431603656,0.5945831420255521,0.5351171671360917,0.46558086780358143,0.4619190444349279,0.5220027564655405,0.5332789223750471,0.48441881854225016,0.5035113275550787,0.7040750756714484,0.5710452642936039,0.7349160667914846,0.6438543694307204,0.6978363672942111,0.8497843114443616,0.8135956643041942,0.9724047569755303,1.0301890024370848,1.0575937121450343,0.9328874221522053,0.9117187277836293,0.7201460758707166,0.5443371554597275,0.5751189850232639,0.4296419449315921,0.44560342610241227,0.5362962702643588,0.3974235442995281,0.49988803882599014,0.45869029956601265,0.41687463648566647,0.418662229685056,0.4011818353501528,0.38351727997923857,0.4024644439910483,0.6471644258275436,0.7118125825948646,0.7266577889987486,0.7819297052560723,0.7526873993762194,0.8615313938585676,0.9521367526390241,0.8411398973279375,0.8128672270348446,0.777697422821421,0.7139397160334867,0.7773619610506072,0.5914742193895094,0.48277898832327476,0.4576121478156902,0.5267759685719671,0.545483461631297,0.45169442334749327,0.4465052980061485,0.5774088391510499,0.49945860295016187,0.4825536973214778,0.5473219713757239,0.5538458435145367,0.5196514799192218,0.6344225153591023,0.536839505884823,0.8479526422047521,1.4132942039867171,1.0446733906186245,0.5858363158768995,0.5144690936833175,0.5998153628173261,0.5832014326896788,0.6491388836835111,0.6147553208759634,0.5500380477037202,0.5186638167554352,0.5754442529943631,0.6201209064563624,0.7185025915950096,0.7193519166303035,0.844360133638831,0.9521657509537035,0.8355370979428521,0.7063758083693404,0.5695780579650045,0.6498505686477103,0.6062658936512076,0.6095905584295417,0.649180419057923,0.6601326503242795,0.7890678597256668,0.6494028044332562,0.7024614242966207,0.7043901125369425,0.6829425219862545,0.7636540814314541,0.8556167803777868,0.8137058911130971,0.8491140680481317,0.8715039067426156,0.9172871560392899,1.7771825741351648,0.912783130846758,1.1374915225654292,0.8489169169273625,0.8267946022482849,0.8643959722861388,0.8392932804141466,0.9306039401816953,0.9407136389281185,0.8990292373672223,0.9337539081994835,1.1165637458072335,0.8623415774557536,0.8160850569859639,0.9154701016942048,0.8147159604054399,0.7203317238637036,0.7498802573557962,0.8361812723564878,0.676888462479546,0.7066262126445184,0.6869138955413302,0.6567671947882991,0.732044026049451,0.8937430739677653,0.8359096488066605,0.8326444937138243,0.7089449681557766,0.9259829668035319,0.777045375053105,0.7069887945045197,0.7053876527154423,0.7090141500907281,1.5815654792016691,0.8724850785932802,1.4032026774098934,0.7969711193285406,0.7331237464292876,0.7839287997053009,0.7850722876113675,0.7721126315067133,0.7684925191583337,0.8834190701916386,0.9002276851234271,0.998038643574606,1.001016974915519,1.2141758147642372,1.2571057336653693,1.3032002410803132,1.7758268701897537,1.228172637093674,0.9859970194403346,0.8403680468911627,0.8047164866355421,0.9131622956122987,1.0114268766714287,0.9625446766345769,0.8683000627664196,0.8575881616031358,0.9604197020940313,0.9710819151530861,0.8378773828085628,0.9766000318656365,1.1226061586185725,0.9031916577392801,0.8589306856818718,1.0847408386535458,1.2092752099547146,0.8654677913900711,0.8475997307479914,0.7401761410363701,0.7151388777990147,0.7127527377564734,0.6786064501795005,0.6747691483059133,0.6455595530120126,0.6929638057429375,0.7012035772158711,0.7433806456616285,0.7795226156517625,0.8135876019392138,1.0615345164648262,0.9699373412891722,1.0399027253118616,1.0139207429318826,1.1598948746231619,1.1556781837654244,1.1778397240059035,1.253848894221582,1.3243641974458258,1.0885323879367557,1.040248010944396,0.8765110732601227,0.7859789012078638,1.2712331511263013,1.4079190838105087,1.4874235517882872,1.6799853041947903,1.2649733382993864,1.1394665338735153,0.9781641549164234,0.8929674349493897,0.9329301031368293,0.852704881817722,0.828431087065173,1.350464117826453,0.9521281539941976,0.81413680192169,0.8539856927205438,0.9841772083814351,0.7756734233297198,0.945021224351192,1.1112243044220318,1.3129278095976318,1.5880998400403616,2.3639180668142035],[0.5027158852589261,0.27978507446731854,0.3381385347365299,0.37629364032784784,0.49544638686014564,0.39149786426939315,0.35655017565346164,0.44093358464722904,0.4192620450063366,0.3788954198226714,0.4207919640839722,0.5150020233234404,0.4223575143538143,0.39522755873425985,0.45650443391563955,0.46108239085469455,0.4314109941152723,0.41179019369075565,0.4360679031499034,0.42094889904365246,0.4251324383260885,0.43765976406529195,0.6220384465533542,0.6675249244706365,0.7417928442263259,0.4743531382485064,0.4156321447089941,0.3979572614154388,0.4243938294277575,0.4457414561244253,0.4597592369043277,0.48620797047641906,0.5708864684267994,0.5266588301457479,0.506845817734955,0.44425550946347625,0.4919055326435951,0.41608814066656064,0.37221819684384144,0.4336535295755147,0.5196726331902676,0.4248998174478276,0.39361004761701796,0.552201855968801,0.773646126377295,1.3300541577206602,1.3485680842641565,0.6851196255547112,1.2481416572186224,1.5838491187705948,0.7114877501320134,0.8981279509510991,0.7970325968180717,0.6558538181458257,1.1950462905421229,0.6360803296408902,0.5053690440332564,0.5886938192266268,0.7762943190134767,0.7234052683974709,0.5264010791232893,0.622096509657244,0.5552290179715601,0.5445557763134912,0.44842980950523037,0.47687554068832744,0.5993797126967233,0.46498081429618415,0.555541007943056,0.6695093416063325,0.7439139979182555,0.9839738977298561,0.9047712993453474,0.686809801239574,0.5664153000424181,0.7844263445017453,0.44414701681291685,0.49060660533204425,0.4747753553374155,0.56604366405277,0.5850666038213687,0.831499884432451,0.6869311171975442,0.5623934084556795,0.5145948075023543,0.5388028834975584,0.4686998768585946,0.6029843978404376,0.43335456238350273,0.5560465389894742,0.47354602764732046,0.6160167618016639,0.5566108685250561,0.5073455084652482,0.4934453216690105,0.5616946145017014,0.5686921027953197,0.5213936868553715,0.5271576688573966,0.7087905867553369,0.5368256749796835,0.6990038379848085,0.5477926675251014,0.586891145897907,0.6556459516383848,0.5729534164066687,0.7364858673895063,0.6771864871217863,0.7181274914815675,0.7460775502448614,0.6123789960596273,0.4482597309268111,0.37317083099691595,0.38075418563132446,0.34631729961920416,0.3539685842703196,0.4800515922483568,0.3803476673891804,0.45411244983052557,0.47015367315883194,0.43386965994825155,0.4152630245371283,0.39893103714885575,0.35773263037733155,0.33714200252426774,0.4644514038487553,0.4639779568081423,0.4202875487327904,0.44440278123194754,0.46560617795958587,0.4719034598895586,0.5844556292999605,0.47645556168820535,0.5224135043102592,0.46268173298110277,0.4577424940501429,0.5368870858350412,0.4312131728355716,0.583693614628058,0.4268099456587285,0.5803966009975382,0.5685907706859423,0.406484432378165,0.3578060912080868,0.3989374971555505,0.35786260547525633,0.3413750332234258,0.3993349116899141,0.38086067598896933,0.4292705200103049,0.5423914929839686,0.5251094633081594,0.8799046783993955,1.4010597600350827,0.9983981302931317,0.5616418058374127,0.4827962716155568,0.5312535075572522,0.4716339025226358,0.5132156163204105,0.3888283859886332,0.37856995998817156,0.3783479219852325,0.38636250577038,0.47648866414825175,0.6478290410006102,0.46830595201596203,0.6401303117879903,0.7425311417341597,0.6639678576132976,0.4670073253635337,0.380463732831797,0.405996261585348,0.404615907370083,0.3977785578370269,0.456747274935852,0.4913552058693943,0.7060381239352781,0.4554607989739043,0.5202060409279657,0.6563842617142528,0.4546002655965973,0.48218817790538754,0.5393466401871471,0.510298072203043,0.6009451229927653,0.6718581323581612,0.7189411794137621,1.5996118459852582,0.7452687027017492,0.8971030236256342,0.5993978419716236,0.5802131453883244,0.6080694430422072,0.4986130490618314,0.5092222774169599,0.5330176575452399,0.5011753346374381,0.5196206473473121,0.7164132392145385,0.490340439936318,0.4982298825291138,0.5390301875522555,0.46583276222333925,0.44406250227078803,0.4836348220185412,0.6530667987087577,0.4860001815267615,0.5675119889056003,0.499149958480668,0.5457392609879922,0.5871995562531761,0.7061561949742312,0.7211255495231503,0.6815741740410554,0.6937130471817482,0.8081426931299007,0.7299568662490274,0.6022477199832591,0.6254846459119178,0.5904890855992564,1.8485120436856666,0.7387952652710174,1.2903618689461984,0.6332430513812286,0.5808683708516046,0.625101344281292,0.5680000405580998,0.5570019996967035,0.5100317972228741,0.6578993644690618,0.6167424543293524,0.7411411884279153,0.6593069680645495,0.9180847784424161,0.8897253994797408,1.0068801513289027,1.4138773383826246,0.8991300194577031,0.6263298844726445,0.5464691791840464,0.6377761739224174,0.8240729404480647,0.9256824332079773,0.8759186265990091,0.767334595772186,0.7644249744942039,0.9294974304478123,0.887249335254069,0.7169425614444391,0.9409746325831071,1.1054216621436934,0.8213659354262153,0.7861021034166139,1.0285638664163466,1.0984503921178064,0.7604372183406062,0.7578727603221123,0.64750487802134,0.6162922472722955,0.6014463201819482,0.5470095750730234,0.5548873229086487,0.4925557137807826,0.4837632265460027,0.5264968046912023,0.5923560776878254,0.5223586627971126,0.5652460295074123,0.8524153490731841,0.7690249235040518,0.7510134427590843,0.7652296884512849,0.9663562879630627,0.9377317143298436,0.9848591200308382,1.0574541840202816,1.205643089139403,1.0175330107919254,0.9637483710052234,0.8020887572483445,0.75180004905842,1.15278629111916,1.171507834541827,1.2152217252119222,1.3317984381960692,0.9523357926091465,0.78141627945768,0.5543050557833924,0.5002815201827171,0.5729045089151942,0.576141684156963,0.6359051799082377,1.3316972559412252,0.7074160581883918,0.6452111021478035,0.788576380246984,0.910910632510113,0.6500444920963632,0.8504276695069227,1.0403985414465269,1.3722931416274775,1.6314433171236713,2.0349669752160313],[0.7502289467167468,0.3760139969129305,0.4351615540717173,0.28162780118992814,0.5340538058118094,0.43595068493706723,0.36563220920455614,0.4645264466124386,0.430646452449825,0.387039630123787,0.43485734472345317,0.5084277003055186,0.4195837919495825,0.40490348116813873,0.4871903636273147,0.47538680999390853,0.45045236091069757,0.4436334630098697,0.46570343503153533,0.4632726364591716,0.43894240091912146,0.4413209833239234,0.6066006240088845,0.6907291765205348,0.7547475273250775,0.5265660533126184,0.45828137571575017,0.43240450625123744,0.46028327726313994,0.497294320711109,0.5103376224648781,0.5276538768387994,0.6018828389195342,0.5633418668468454,0.5532913518773543,0.4920569585370845,0.5178175809155028,0.4635339615179766,0.429390766339613,0.4516887200356717,0.5452912428534341,0.45427385343420496,0.4518078687841687,0.5465834215134325,0.7269459905002351,1.2581258591078581,1.294281057845731,0.6528523742939435,1.2293117302434915,1.5735644431289915,0.7580402449757057,0.9266028606781003,0.8169788275621936,0.6982651153518001,1.2071435250789753,0.6573981762868611,0.5383156035261932,0.6426487034650223,0.8190417853114882,0.7746331642400353,0.5810595952374431,0.6266746140823167,0.5769713114649022,0.5828776921009623,0.46475886875556655,0.47432667740547974,0.6284104326948243,0.49446839132990617,0.6112770199713066,0.6697629085269456,0.7617300784684021,1.0102979973921866,0.9072682274852564,0.7323293492836829,0.5683276158308221,0.8305054279608844,0.46405381679258634,0.531145837546645,0.5148344170427149,0.6078660555342251,0.596292071320724,0.8295641455574475,0.718890530353879,0.5629607422276328,0.5710611086450036,0.5606336794111032,0.5046454339018901,0.6122663206078267,0.48022525698633567,0.5961177711544782,0.5195979715425298,0.6584729680381199,0.6016307938170483,0.5402717343074176,0.5275858106813374,0.593953170542973,0.5832268659205655,0.5611389362162391,0.5743254869928947,0.7323664565584389,0.5769425329713798,0.7325253779577543,0.5976575469550545,0.6269448082816407,0.6466157565458026,0.5741223044995553,0.7440584285946106,0.6420733887519595,0.6736987873127043,0.7682862566964266,0.5814134869005317,0.46085565680265544,0.39890058554481644,0.41399698782478006,0.3663652791890815,0.36371324127185745,0.4849893066918577,0.3637701609039616,0.467689199499809,0.4955872396826547,0.44217362293521983,0.4133980486528003,0.3807818089209769,0.3425215713332405,0.3446462790080375,0.48323274673529926,0.504384508108014,0.4681172392450921,0.46083240192884256,0.48175586385138935,0.4838104682616653,0.5753568197756765,0.48752456529116667,0.5398891017150673,0.4994192659836454,0.49412646618216927,0.5667638032225529,0.44600939295583675,0.5107157438791202,0.40600721996412126,0.5420997976811338,0.5050406315572777,0.4063594458413805,0.3764767573570682,0.443529821567033,0.40435487367004924,0.375977702097795,0.4381189958871193,0.4304898986174503,0.4606159804353769,0.5668598673538494,0.6019891747855427,1.0510031946585356,1.4974068765799045,1.03697157909141,0.6392619383149406,0.5420483509835085,0.572348942362879,0.4961531654017125,0.5589613653777014,0.44364550580123013,0.4307343177315079,0.3927674612383037,0.42260014119448674,0.498942904971622,0.6040390637223543,0.506710466415056,0.6651272306451615,0.7664039393147741,0.6886501892676503,0.5078924439521336,0.40474307472768906,0.43782727413344563,0.43033219041015125,0.4470502720529423,0.4896310051762106,0.5088905167988333,0.7194885763693546,0.495531564833626,0.5339191714287105,0.6423473627184673,0.4816289859773737,0.5054217926829531,0.5578387127640271,0.5395061611797198,0.627563109951686,0.6959426906570066,0.7324498161744698,1.6303160591182033,0.7713774218955675,0.9573882718564375,0.6480043734160024,0.6010437582611762,0.6275160633738436,0.50454826337018,0.5138880074484616,0.5436820922892166,0.5077217258482556,0.513472551850606,0.6715022314706386,0.457820222470999,0.48489041603875943,0.49004261485753686,0.45034121579694325,0.4583910480516247,0.4846299627947834,0.6697305200850481,0.5181604011878186,0.6510170850112705,0.5412998025889046,0.6098851515039014,0.6836934367809036,0.7745884438281488,0.7834349152057228,0.7931585515139019,0.7971447930714526,0.9200372632624789,0.8308854971132956,0.6769164299044642,0.725731121960934,0.6719416689554587,1.881684397367219,0.822775548385705,1.3943389543353057,0.7037351939292308,0.671698474511657,0.6900596286504511,0.6349640040818813,0.6183110216271626,0.5728928838088623,0.7113817414779595,0.6426620501866503,0.765469501944471,0.6573767183335767,0.9033465756362109,0.8796846857114561,0.9985349194056167,1.3671532807097215,0.8636704513762126,0.595089738121073,0.5844096075404689,0.7309501897765077,0.9374200064627938,1.0156903882009465,0.9752979579207579,0.8749691565282577,0.8696426980817591,1.0717519850084731,0.9854413068148806,0.7953123905811906,1.091893393260646,1.256654927923031,0.9307943420527097,0.951104438412621,1.2358869734817026,1.2520745736274597,0.8997284578809144,0.9241480059892703,0.7795334258322317,0.7594498064651051,0.7252615933327012,0.6657005751718269,0.6593313670831986,0.568840461910955,0.5565463628213911,0.5855778810461033,0.64038535972764,0.547115464515006,0.5911461950499468,0.8778146613509862,0.7918350645070606,0.7618973313329915,0.7943082236800938,1.024316085268605,0.9949047436200112,1.0533130842621352,1.1499716858964695,1.278231362366072,1.1372800687811142,1.0806809572910712,0.8653553124279143,0.824012679421863,1.2909326232367617,1.2646975448429887,1.3167778328234296,1.398845405104855,0.9583526141109582,0.7888959052162045,0.5457114812796954,0.5108687868381985,0.5413889366569903,0.5327415985388197,0.6214886341281082,1.3738113196866066,0.6193432246418483,0.6160956289770892,0.8151369126023568,0.9093943457292173,0.6116992399659406,0.8117225116813699,1.2695291659047319,1.8328564988418945,2.2054422938043325,1.9754300179053417],[0.8483863465790186,0.48895085174313435,0.879544119900628,0.5984077031675591,0.6611192227167887,0.8526070626914254,0.9349359200418479,1.1585104706279468,1.1621094736348296,1.112826979453085,1.1754534528316412,1.2283739925799855,1.1537080352435876,1.130416167469482,1.2166956125905988,1.2194775326223242,1.1393525113952145,1.1375317055601755,1.0922251388075577,1.1369260679253526,1.082798491030471,1.0311168495330068,1.2190466060373515,1.1988482875009177,1.2973977148231517,1.094605354386927,1.071098749442356,1.0931583751467937,1.1508020240871086,1.235323626877828,1.266019596736477,1.304077155232938,1.3657028007337446,1.3461978666299388,1.3339395397501443,1.2521796943819412,1.2767380346618347,1.159164086463059,1.1034095269116084,1.110465294066525,1.1195054206318757,1.0436241338435914,1.0883320176825717,0.9775352777693386,1.015413383109571,1.3539627097000941,1.3834176330364552,1.0509880833061795,1.5158757495433863,1.902646126426475,1.2249675617840678,1.308159625416504,1.2629286315022996,1.2082164186489301,1.5875231956381697,1.2046715992349308,1.13831182849626,1.1985763842026556,1.3277408392233,1.2901160077087652,1.2244415821590011,1.2941217116595223,1.272856368530644,1.2235385410618924,1.139754824984562,1.180510383048938,1.1771527369693133,1.1463498471581928,1.1564775633051598,1.202895732306859,1.2008749358873174,1.391066442528432,1.4040244070906103,1.263086217490406,1.2502044209099221,1.379372214328438,1.191894096883113,1.3033164255491165,1.2967454140949615,1.3403589742419815,1.330164828014091,1.4286668219429506,1.30456804270159,1.1405180811969677,1.165980318342284,1.241572780952556,1.2099327173876773,1.338890806162965,1.2384373332672762,1.3535697538441789,1.2781489746886108,1.2939225624538198,1.313068777091777,1.310913767678797,1.2800792621889558,1.2631686771376465,1.2407849049253383,1.3142340404338504,1.3152938784233554,1.3617819881920536,1.328942533500243,1.408294366381716,1.334551216876001,1.3011779734329103,1.243285923391708,1.1097997784333238,1.153474682469258,0.9259365594644635,0.8939257190968485,1.1030815273432855,0.9495157015279588,0.9813105808458741,1.0212227501961424,0.9770228659588116,1.0357250579454058,0.9471366584518705,1.050154958488898,0.9562173706769723,1.0190378759575363,1.120499632871716,1.0548294188159895,1.0339445231004136,0.9079560282324058,0.9078961963777485,0.9055905224531741,0.8452233525786537,0.8431139086749212,0.8959961055800101,0.8833414646250126,1.0248984738770412,0.8156156538802009,0.8397406545535883,0.8525826109084945,1.0340457074407126,0.9417107043724172,0.9651434196404187,0.8803117131341651,0.9485613249156815,1.0676191307601521,0.9967374892193486,1.0296237052260218,1.022585117186166,0.9855572938516057,0.9630489296435916,1.019452629497349,1.0661536266934204,1.0335574246342427,1.0878695954408184,1.1129230876375662,1.16809053368496,1.2262345256910525,1.333889788975254,1.6630486419417916,1.8393808652194823,1.455014574249947,1.3506992022167608,1.3024442290477358,1.2776330676321954,1.2296893186649496,1.2325740747135367,1.08985355576368,1.0978655559212014,1.0170672910820313,1.062318285147514,1.0786174605318013,1.050501006642819,0.946885847622415,0.9850537197251965,1.0357885071843946,0.9711297913168806,0.9168190103086209,0.9468314646494407,0.9970540809269717,1.0542189614923174,1.104376374816675,1.1632695415739698,1.192249939462172,1.3461623467289487,1.1685735708739369,1.137184806889931,1.1726375969461682,1.097177822048798,1.048873315894911,1.0439970426921323,1.0526453224973271,1.114019513273552,1.133522627465219,1.1771656563229984,1.686096418272414,1.084090494440283,1.1231001215973258,1.061161353005172,0.9541714743318047,0.9455674661711502,0.8518933712964407,0.797707255365486,0.7636031308207596,0.7691941529613018,0.703449328150747,0.7337681120794424,0.7639193279029954,0.8848584517521694,0.7525079705279233,0.7146569304045308,0.8417706574025353,0.8290033591549558,0.8528021376770275,0.8407316313735377,1.0179558783492197,0.8604827637396206,0.9947831335342155,1.0642491511445609,1.0580822106396772,1.265865607633521,1.3012534535144742,1.2225188126005975,1.3027952269164178,1.1646314963995408,1.0355531873889179,1.1211536943110956,1.0662768071345472,2.3994115337498263,1.172308120430059,1.5725915406823066,1.0540346467187,1.0922594843122007,1.1421795961642167,1.1416692041985417,1.0440050483384609,1.0274508835279201,1.1736695860305546,1.0204714012885268,1.0427293806239402,0.9254720103509058,1.139211245193927,0.8815192176293294,0.9457071600721408,1.0976754191465359,0.8202112510430868,0.8467343178726319,1.0417067461078429,1.2459595962476238,1.4806393912020395,1.4781767388757012,1.4905645859388237,1.409380162768607,1.3532202118376784,1.5726959508527185,1.5031070503349075,1.2276245272389152,1.498895450137723,1.630726982950847,1.2633821020639795,1.3008687036406872,1.5284144728281608,1.4500262313401648,1.1965794149673294,1.2424841389048702,1.1462337665077074,1.163998533698516,1.172063674833501,1.1302845889106907,1.0716036142243204,0.9725623154387033,0.9873808223019611,0.9746758784859096,0.984681599747308,0.8482030404330231,0.9031233974507081,1.0417066646454496,0.9532708778703675,0.863062990387787,0.9394311593989418,1.119684154557243,1.0589078180753224,1.107001882850382,1.1882757151460277,1.3331783712956589,1.359440449271032,1.2473923127539779,1.0632873741679165,1.0594171370192642,1.3520453025210555,1.2072310161259259,1.2014327352381597,1.1296212691060623,0.8515093440229967,0.6898105440398967,0.7010204939305714,0.7507546418147657,0.6683225821276136,0.9266112267789007,0.9663449673030271,1.7229150449444297,0.8995805042958986,0.8267967641220384,1.065480251215035,1.1941107915220264,0.904841521508065,0.9062197360538051,1.4403049726821981,2.1786370902864283,2.7105901413989875,2.267622923951404],[1.6951646258278616,1.3994135852341354,1.4983038393440364,0.9556529762212528,1.186913400573075,0.9942260647780307,0.9032184123124248,1.0724412084702475,0.8881377008643543,0.8078224532603998,0.8668503680733338,1.0102114864644451,0.8919927867672285,0.7885542045640137,0.9444783628448417,0.9590387223837528,0.8947759619970508,0.8725344383461247,0.8194331914631904,0.8921009366076939,0.8471572465578956,0.8744921180574976,0.9393215049474645,0.9546755578282312,1.0774142901405195,0.8534965590686165,0.8690144871724629,0.8690877687153304,0.9233826684772819,1.0295406168876386,1.022589444647981,1.1168960827160714,1.2302196475997593,1.1757312633790895,1.1431146893654964,1.0361575597281307,1.1226145046589582,0.9899962822509846,0.9805652470347479,1.0507898288532218,1.0532450707777437,0.8982851257295177,0.9379044898303472,0.8865551562817657,0.9305438003026618,1.2979327899442414,1.335085037234394,0.9934651425764928,1.4764922689650974,1.935960602599658,1.2066450473246857,1.352503170264619,1.220465222077667,1.1730635445513136,1.5469729487160297,1.1317388088628844,1.0254928705229902,1.0934058204204602,1.2415983869675489,1.1343150868534098,1.0242110955493537,1.1217497552544735,1.106678728440836,1.0228541433920046,0.9165290567941755,0.9612986413793929,0.9755410704908678,0.9170130834975281,0.948312073578096,1.0140690899557916,1.032162145759396,1.2440963682988775,1.2877879929312717,1.0880374522507152,1.0424399928072203,1.214517678581029,0.985632678386368,1.1012257086076693,1.1120120790067607,1.1798683467323732,1.2008097383158105,1.321761576439659,1.3041645589348134,1.1781327038398224,1.1742882693962755,1.163233890313401,1.0625784032367813,1.2135998860335668,1.0414518355962847,1.168087136385265,1.0701727336317013,1.1364311721277782,1.134550659767222,1.134601857367788,1.065211299542761,1.1196401159563376,1.041303301767578,1.1542661290460452,1.1821497841400388,1.389155574044692,1.2572928009738273,1.4337351241227083,1.3181784272442205,1.4080489395801032,1.4281099465572353,1.3423273309822477,1.4603767233379692,1.4358547716186858,1.4512688589122291,1.4589697934030759,1.330999219163286,1.1749973283569313,1.0149821445747804,0.9444733211193257,0.8386344176367962,0.7740490488658271,0.8270809621579568,0.7404220818546495,0.7496939500612646,0.8420566894478371,0.7444101169052024,0.7248055070790367,0.6679220039492907,0.7098523914740634,0.7610856771603025,0.9467443530372072,1.0884020223827464,1.1889257023222624,1.2762034577152797,1.3238212648867924,1.3329182320583974,1.400281091816239,1.3203533284012638,1.354842574018962,1.2760551231043642,1.1976282544059766,1.3000097673019722,1.0923209725397323,1.0145077551333272,0.9475248404043,0.9112383320921775,0.903692769734367,0.8243850878530266,0.8598764822607713,0.9263355051105993,0.9173641779516537,0.9065204464010667,0.965987642820022,1.068132639390659,1.0704471475343567,1.2482469415772834,1.26660117233465,1.7029520405783682,1.8257856245529813,1.4448966746814556,1.3401208404312166,1.2097086707179285,1.2804115729648546,1.1424627026565777,1.2817008083175774,1.1552697678058017,1.0477788831765282,0.9953833493578158,1.064332434168564,1.2101016765946877,1.1483916407630792,1.203847926288451,1.2773320096584222,1.3954992403676876,1.2578236403641396,1.2084872831781432,1.0908817468083014,1.1517170318494505,1.1581700836990967,1.158685344176803,1.2388323840335347,1.1535678691603883,1.3865151102260176,1.2107702830235956,1.2516375453261683,1.216296594895786,1.2866091888615763,1.34054155456948,1.3759454786392835,1.3076072159997933,1.244521196248255,1.153448639509511,1.2253381853472283,1.6848365678530368,1.2671920606305338,1.3664433630256028,1.2703619275734281,1.281006811865393,1.3420475610047533,1.3158039519449511,1.375959024311621,1.386887298612306,1.4648332765901915,1.434701839773566,1.4229448041696262,1.5106207996746488,1.5612459142221067,1.4527627776046645,1.4827203932482151,1.5733134608566515,1.5603357278954022,1.4973718568031933,1.5405461565818925,1.6596329780883337,1.5382414580081223,1.5546485028149708,1.5086042439794667,1.5351600080875876,1.6860502505010382,1.6212405921846587,1.681073032991127,1.6304960958255703,1.7017417964321486,1.5581790776056288,1.5616361535350523,1.5376785604061982,2.2636267499804186,1.7049839183023006,2.2649935737608566,1.7028875586012668,1.7503539268002377,1.77027707492062,1.7689028754251956,1.7014840160282614,1.7627306989922447,1.8437038543370792,1.7441529831174925,1.7674123537001019,1.6242844812297867,1.6975982955703126,1.5835818584744545,1.5567729695589683,1.486413623869316,1.4205775605854323,1.5257526942998605,1.7107927673934988,1.904322385191524,2.027500983830487,2.0463349142574954,1.994559278663415,1.9533758140328943,1.9461533960304216,2.120222424037584,2.0364305676013212,1.8669828880906634,2.0932910985991398,2.2200441441106333,1.9058283671214706,1.8904103104757093,2.0832388247164655,2.0163264958069855,1.6681450117433714,1.6651298040869154,1.628266581196646,1.69189532513834,1.7699560765277789,1.7065928547638434,1.5917701182490247,1.5794781395738084,1.6345868073014247,1.5427448020454122,1.5297150373324897,1.5443786953112868,1.5549663939274394,1.6449541394371066,1.6087593966859295,1.5793776479539754,1.6146925008355248,1.7209271549743252,1.7045893959295908,1.7688330966035672,1.8352761185754027,1.8890828138015257,1.9124232084135666,1.8629401011545117,1.689119368736523,1.6986885782970336,1.9866800912174951,1.840393342165901,1.844568865254318,1.774276303692063,1.5340368331292913,1.4447442112472486,1.3908234803014243,1.3153754743498822,1.4151874418538068,1.4808061004885167,1.6180101277610826,2.063059921997311,1.4200673336408385,1.5586153938929177,1.7348181055948577,1.4468826569958217,1.470225457575377,1.6407230071422332,2.100418599407775,2.638374698882436,3.0573742609776233,3.1375775257873566],[1.586249673857197,1.0644154099892822,0.9908414910969183,0.7656862917848194,0.7744883540411932,0.8796415872025305,0.9666496165897089,1.1698366272366076,1.2673683269588263,1.235488479793587,1.3968860612602836,1.514174503346316,1.3185462716821452,1.3031389912816602,1.4935572869570832,1.435789065367315,1.333333513546308,1.3705290263435226,1.3282508404416309,1.3212017596778474,1.3837391483914503,1.4561243407303477,1.2442147222889788,1.1739920850465317,1.0604708422573537,1.1997611276090638,1.1616283546033075,1.1688388636585247,1.28290457124156,1.3349156826028536,1.5022720860433385,1.4751598162847608,1.6374102608623848,1.572339717198044,1.4537918519654316,1.3901212026184222,1.3553205165131434,1.2556169917302666,1.1996750368279734,1.218750828475733,1.1604660538087894,1.3252079275885933,1.247657069733695,1.338764329397414,1.4623373268515882,1.7484405475434033,1.683046626653729,1.3356796227511087,1.6227326666418773,1.724204428704083,1.1785870455843233,1.100974848673743,1.2747467312415457,1.1057069257726033,1.4887671781379563,1.341160155216576,1.2617596231668156,1.3975945862034849,1.5341253015510832,1.3511164746882263,1.2918212252400285,1.5183364969896462,1.541685575627585,1.5226785953621922,1.4201901150317147,1.424527466657355,1.5376687933714264,1.4908466897430095,1.5552663064537398,1.6121550462511187,1.6474832698355142,1.8009419617842026,1.8491308889110345,1.705076607115973,1.6192563108584765,1.7303131560594562,1.5192285815567768,1.5323268617377641,1.4578667734576083,1.3655526457667484,1.2990474697619954,1.0588962966424527,1.5505012205369018,1.2262848532785433,1.0776532427608856,1.1568491131307743,1.2600787957216901,1.3845013825172403,1.3927829635403297,1.5050875664919003,1.5514972391933533,1.7394636026034698,1.672653442233994,1.6654121641037403,1.603209948579384,1.6939275935261577,1.6360549377134388,1.6426227134900284,1.6381258435891117,1.804852611539922,1.5825821858336941,1.561559488601713,1.398034142645332,1.3354144650427588,1.1462770634661568,1.0273568455005373,1.112718685438992,0.780719396140039,0.768767804743929,1.042322348069578,0.810854765194524,0.8789698765692918,1.0023105393424263,0.9795049985722325,1.1219215243878171,1.0278920493129962,1.1407592373783528,1.0711911927295765,1.2145584484364442,1.2810882213016859,1.224012525379117,1.1989709549311802,1.0970212914776916,1.0403575715829039,0.9998770696629269,0.9068564601997395,0.8170634825197448,0.7886364268020163,0.7966784596605266,0.9421323994426647,0.7618993668312127,0.7733340007331931,0.7787410768876815,0.9570256817200231,0.8550192817412168,0.9043698219772199,0.8153034376204746,0.8837820796240261,1.0455710035371069,1.0017370410937743,1.067822292754538,1.0982141339602904,1.1201963562311887,1.0361148380673877,1.0497363421468413,1.146298572835701,1.1039646610155436,1.1710234812416587,1.110999084049427,1.2079688997585112,1.2314366935106207,1.4231504204254541,1.7550759645066865,2.0145934292406062,1.8112439868210655,1.5971264269401348,1.4774817221408156,1.3826299784454523,1.318688684940487,1.2378648234459522,1.0346842490791412,1.1536217609068042,1.0273251454735681,1.0269400565370506,0.8956121881613215,1.0117862743243802,0.8549713665418288,0.9367465486334682,1.0083326898574374,0.9496127500746024,0.8399390652391878,0.8879319940564665,0.9172160084780867,1.0436226554974715,1.0875891675789124,1.1528913063599415,1.2325577973195412,1.3908953900052154,1.1455128872539682,1.1808306580310857,1.3375904027695165,1.0216530239557977,0.9085121369239443,0.8728985979329814,0.8922196698928769,1.0546191406475278,1.1900585026307826,1.166941222219708,1.8174476243217434,1.0638997953801932,1.08865007971824,0.9505571577968381,0.907837847806845,0.9041491325224035,0.8118802598157047,0.7499948508462077,0.7725071335146972,0.791455684608336,0.7894715609703359,0.7621071882548744,0.8504853872129389,0.9389007846419479,0.775984485902685,0.852818051312474,0.98510142962593,0.938380432301065,1.0268579471898882,1.0550865316432931,1.2105447427722371,1.0372222191584464,1.2044054717799244,1.257510349612413,1.230449940068944,1.4258498629511753,1.5134488413352365,1.5160005648563388,1.539285823240176,1.5578835708688308,1.2686537480222877,1.3505372448933435,1.2955658585895293,2.175366930792987,1.4664996659655138,2.010066333818557,1.312020909143878,1.3385265386282095,1.2870565981850381,1.2777682030089523,1.2423308302399918,1.2108464982913192,1.2744167481967423,1.169940472805507,1.2164534373849747,1.040440882931223,1.1792178376946592,1.0792211597261634,1.1408015586855191,1.2615960604691152,0.9706778117550533,0.8700444497444124,1.061494402815105,1.3446728002780957,1.564761924103511,1.6882383678081188,1.6307883695638419,1.4927136808523094,1.5766864869660748,1.830090968876011,1.6462574631948774,1.4138016802716604,1.8145302848061322,1.9428204048279722,1.49610296848431,1.6570246925110403,1.9864883399030777,1.8352818992608178,1.497186252520616,1.5949203023342693,1.4202201945112478,1.450471984535638,1.4040533860680302,1.3518293023969392,1.315752890312409,1.1656038367967652,1.1648374604856582,1.164416763940306,1.1725366657346696,1.051555671845628,1.1084512743855301,1.3628461550203275,1.2544644635793953,1.1167597617513094,1.2737984508453186,1.4876998070059546,1.4440762695275524,1.5360462091912317,1.7346441860125652,1.852220694052925,1.8492136218473203,1.7697731084972168,1.4302025857849723,1.3984864847458673,1.8968401379531081,1.6944561290423308,1.7234074140094933,1.5871469669118035,1.1852161106805708,0.9591368882022205,0.7718969731987623,0.7362907735675502,0.7579134255007082,0.8699543735666908,1.0111948099749388,1.6009374261174902,0.7891631959823914,0.9014491720631516,1.142309648308232,1.0218600351442566,0.828751146622344,1.0454417330554093,1.5249462108092064,2.8618584799175752,3.90611249488821,3.326635348209584],[1.1698837817615007,0.7900081725643444,0.9000556399415736,0.9318329464282917,0.922177308333213,0.9333635335501902,0.9268441831960654,0.927517467672107,0.9527524559830021,0.9478386532782127,0.9819158221280702,1.0441698913318143,0.9607669495601342,0.9530436175428889,1.0431440685555653,1.0056248716466358,1.0187961891977462,1.0220999914661257,1.0509258655382243,1.037202906940088,1.1066621161010706,1.1756881773715397,1.0166665442546676,1.032958083045255,0.9241883590253895,1.0241275657117024,1.0097428889613644,0.9848916714727974,0.9898857856220515,0.9849188659285032,1.0174188770761374,1.026400392026793,1.1243759088980811,1.0561314776938655,1.0056952238145664,0.9974855965247394,0.994577313387503,0.9895724532408241,0.9910056296613368,1.0159603102816572,1.0309300490928246,1.113296602294281,1.0498084554084013,1.2064045953614955,1.3500255090627842,1.6978398204456888,1.6499833127423942,1.237354878853445,1.5630246276920228,1.6377206503186672,1.0876389192844655,1.0573699098945013,1.1458505405135708,0.973590807750009,1.3518161159783564,1.1115121093027227,1.0374039597592548,1.1264488375799298,1.248389952018101,1.1190923103129653,1.0225043806650482,1.1475941109485015,1.125774973492034,1.1280617150430254,1.07732001554239,1.078941599909297,1.196628477369525,1.098994563474315,1.2237462222516498,1.2113701868875002,1.2913383298363685,1.4560698716475218,1.4239760282558043,1.301532781119668,1.144459459061413,1.2962473530668595,1.0783225035807853,1.0522198338637436,1.025293207858179,1.019154698603406,0.9515119183677958,0.8772388493301887,1.2244404285072459,0.9675707181281377,0.8971660470929701,0.9117015049244273,0.9695958909537863,1.027936311192081,1.0020913340699504,1.036837612467902,1.0634074852381699,1.212067176502796,1.1329806680900585,1.0996357488979938,1.0643904688523695,1.1188323716100184,1.0934466940324026,1.1019656990897215,1.119335090674986,1.2986711714317256,1.1059298000145685,1.1698881161789572,1.0402286159416838,1.0176219340232244,0.9187503470008782,0.8828557683181506,0.9676195646809272,0.7463475246459377,0.7618012409650647,0.908547365242368,0.770508493559987,0.8113432896921778,0.8958059073402971,0.9534324551204602,0.9748386893087616,0.9765772363999013,1.0289623423860357,1.0203736117008415,1.0692199671391813,1.0474786583902365,1.025512464983096,1.006955259521706,1.0569690241179401,1.01957101332041,0.9912935109593954,0.9876639712413028,0.8715450087649205,0.8403484164065219,0.8337230067009648,0.9042726148396639,0.8377353773800122,0.8148936640653989,0.854404056247358,0.9275571226382151,0.9292410694306643,0.974181785159953,0.9457166374388921,1.008994333432495,1.153215176826885,1.053300962589123,1.149012210660066,1.1099920645054133,1.0651823851604896,1.0001893422421146,0.9840416101289673,0.9880763229412746,0.9847058924622434,0.9784932629789194,0.9148435329607366,0.962022481126282,0.9690927068700813,1.0566246744425638,1.4682393171257002,1.792840851885112,1.4132575099644982,1.156512646020636,1.064027902485663,1.0262208073854082,0.9821246604040929,0.9956422125366365,0.9165602283513118,0.9591673678699034,0.9647904949100121,0.9278946825268576,0.8942218882899564,1.085477297952317,0.9740008862940803,1.085952420725822,1.1414699816258906,1.110641295458044,0.9685717344856372,0.9803117953339251,0.9239471470131226,0.9519155216305341,0.9235219893509267,0.9180600101218124,0.9383136515412568,1.0713094074408385,0.9069170339427857,0.954037881714298,1.2122508712848887,0.8976802182991701,0.8437103964256399,0.8601870618089978,0.9124578879331736,1.0655690033156602,1.1759010997578476,1.1659795706984364,1.9701805762006712,1.1463205849107316,1.196218244043391,1.0533207290042526,1.0072522962250767,1.0007193913330834,0.9112515811004255,0.8633320020592584,0.8706970529695297,0.8106018044863409,0.8181810540444394,0.8155047025159031,0.7396462015928883,0.7877776586810944,0.7271710637451478,0.7710336727253928,0.7932918416433105,0.7858774465247608,0.9993019364156922,0.8626559913248957,0.9541782537836798,0.8597911220304038,0.9846744239853095,0.9522309835984172,0.9601770439586376,1.1719647592399791,1.166844596948472,1.2379920311641515,1.1615766607080042,1.248757663568728,1.0128307345696475,1.0347762095913795,0.9920696583776819,2.0814824973510246,1.1132894553952033,1.6772300569947478,0.9977422135245724,1.0257903869856186,1.044497384072067,1.038728043495276,0.9574203209817858,0.9635334959774765,1.0627910361116588,0.9502536937340722,1.0324890990014397,0.9248939792733483,1.1186023921162924,1.0499232497705104,1.1700316774967876,1.42713839591604,1.0283596382722535,0.807745385087368,0.9044435964899177,1.124814538292151,1.3434210959667041,1.4402135509554,1.3922739553953984,1.2753406870517612,1.3052463034537083,1.5640322277625944,1.4022095348489674,1.1651658417603918,1.5307321927825075,1.6785358345363484,1.2408092529961479,1.338581638903953,1.6702358275663087,1.54367585061218,1.1836289438154142,1.263328620469048,1.098740507220974,1.1307107015834514,1.1176218608761517,1.0554100321103077,0.9891508002497046,0.8840128760295348,0.9080439798232757,0.8923012576821964,0.9283878682212169,0.8671487967631197,0.8878090517265101,1.1420979476545159,1.0980246619942184,1.0211386634957906,1.0646634461852513,1.3306724750941386,1.3121051874341096,1.4062872822586527,1.5437699138219754,1.71507420680417,1.5584266988219955,1.5718445385928164,1.2776938015203787,1.2794035310883745,1.7600975658112887,1.6330071074535273,1.6655490089234264,1.6362441721137553,1.2086391933671983,1.0546031984653086,0.8363296608572766,0.8319715822005845,0.8025585182993914,0.7861060855274264,0.8561588951577719,1.522968719149976,0.7339973361577867,0.8073946658069899,0.9521109097151969,0.8629969739553823,0.8266320063927155,0.9396244876343056,1.4984191634348183,2.618158683825888,3.497374763831249,2.7815620584216516],[1.042513252261875,0.6203073760436664,0.6483801470463952,0.3935368689636128,0.540892838805756,0.4017017342303616,0.3119537466352242,0.43172324042266724,0.34844249459118654,0.308470073683813,0.3815453404188547,0.4708804688145448,0.36224772795954224,0.3286277506270659,0.4930870488283255,0.42916264477835764,0.4290796030017673,0.4500586067888126,0.5210024788555504,0.4759975339586038,0.5263756152189331,0.573775537261372,0.5414184960502627,0.6572131897386531,0.5915345477681108,0.5335509589510772,0.4533387621517263,0.40815113896079136,0.4201958866086503,0.4363425973613895,0.49801073438176585,0.49279981629781205,0.6150836367627028,0.547358990786595,0.48873307189609844,0.43232231269381693,0.4669241134972714,0.43211662276596763,0.4042240325177718,0.4411212628854824,0.5465513139638797,0.5201745058696449,0.4732856904780839,0.6215131848025978,0.7993892242528815,1.287089305294479,1.3053814780122328,0.7071195060353652,1.2627268260876183,1.5118764370519218,0.7343047202365173,0.8419474523389913,0.7668008608348278,0.5997298194892522,1.1272729639120265,0.6207983770751707,0.47792130886314677,0.6466671738556109,0.8293664291190327,0.6869907156685565,0.5355545490600747,0.6394626716522999,0.6193034616665344,0.6538698662936636,0.5424896200390528,0.5115789796931808,0.7157408688894599,0.562524657081167,0.7167699433173693,0.7116628243367301,0.8431672296042731,1.1182414583004348,1.0091018548462527,0.8659800330360529,0.6451577172933676,0.9560057933881696,0.5280281105451821,0.562130788300757,0.4869871499947334,0.532934069043993,0.49677014376783357,0.6028117627308167,0.8371656723231247,0.4852221022898383,0.4959607956002956,0.4519898934525261,0.4395634354482604,0.5733100722953077,0.4309457013663613,0.5434252083410125,0.5361974362388545,0.7712294361490838,0.6609861198998238,0.5959964212185409,0.546427095360063,0.6490374303742583,0.6349330636871512,0.5789577581508284,0.5966744028014284,0.8533516098315034,0.6235492767497625,0.8066572257795126,0.6092980271368034,0.644027367138545,0.6189231849535326,0.5535796172920652,0.7253918365794654,0.559497226245264,0.6031087702444777,0.7011274765781825,0.502260584780359,0.38055785193024766,0.3406946923287623,0.3937348436900598,0.3490373775309937,0.35606096312064495,0.46327245809238654,0.3820829209580477,0.5463998207636824,0.5090949959181934,0.449799766336903,0.4081802187979481,0.41824110846262214,0.3688044212915168,0.363438043956076,0.4507401186681781,0.44406323690786476,0.41127814081360525,0.42424359083226104,0.49070096215853615,0.45356238834360657,0.5340190157453715,0.4565227199619231,0.5546652413341121,0.4821888483536328,0.48353794682339674,0.5452324936563618,0.46382502022975297,0.5386367671470913,0.42784816177526314,0.5918710025406031,0.5349247741065454,0.4622905679929165,0.40240648956371805,0.40830939614852085,0.3875143337480534,0.3574744411042889,0.39561938749237574,0.36538827095327353,0.4347126629182515,0.5611307252156369,0.6510869943334094,1.2375869969647273,1.6511451018051733,1.123524485622371,0.7520752105933425,0.5855728430698108,0.605735015050565,0.4917802390113542,0.5735885703697036,0.3994475421796192,0.386185800230122,0.37733816629299166,0.37453163325327077,0.4514965081849913,0.5708815765170931,0.49508655633074505,0.6429018848597279,0.7405151893770366,0.6689479231207573,0.5096656790291663,0.4314546509660453,0.4100918018129844,0.4134971066960732,0.40227425932110755,0.473150627787947,0.47240595021869236,0.7160611662324875,0.43756005805476955,0.526030615745334,0.7142199935826608,0.48130952810654626,0.47005396364807495,0.4896394484576306,0.46571570130707557,0.6119589802642238,0.7302279186152592,0.7603618320746899,1.7276102048375117,0.7939707342006659,0.9726714513171781,0.6542993192097989,0.5962350609684334,0.614842456507591,0.48997489029967933,0.5061585270300522,0.5307890953786917,0.5089350192410417,0.5324456722700357,0.5992030384479418,0.5059553651410293,0.5856697849179439,0.5015052820791541,0.5212793025527673,0.6030999002568017,0.6050856051397375,0.7201605222772846,0.6330782975854099,0.8517740294392802,0.6506113263781803,0.7015572302558587,0.7983472494071924,0.8528854399893592,0.8486277315116021,0.8707576529475336,0.8780892450884602,1.0287581458778476,0.9504119620441027,0.7758342061571479,0.8483904337082516,0.8145006486482966,1.9331622142339555,1.0092017193539586,1.5940702903645207,0.8480466506608391,0.894434319894281,0.9220458840137029,0.8829737568701971,0.7907341537686329,0.7908490925195281,0.9249240849882399,0.7998811624768903,0.8907078850644159,0.7294891602385075,0.9089377615044917,0.8572818030622954,0.9695387065746082,1.2720696637069622,0.8164538178122374,0.5793690382964684,0.7317636209849001,0.9746529279531825,1.19195607190935,1.3063213169272676,1.247997676807175,1.129422525437631,1.1889393348874246,1.4257080880722908,1.2707918435410563,1.0462821077029492,1.4281595125122404,1.5742778312750352,1.1516326034312814,1.2664620363400387,1.6019901771795417,1.49105405498301,1.1339000134392168,1.2177366199494248,1.0283091458700606,1.059087477452345,1.012514065604568,0.9446852158770289,0.9006871571751084,0.7549498737825223,0.7529239090378111,0.7223294809675678,0.7313629244341462,0.6332005880699998,0.660659700359404,0.9397344726785093,0.859138518969464,0.807334444770773,0.8776084468551071,1.1089794609335042,1.0883555149092927,1.1506433582642055,1.300471275291644,1.4283986699961388,1.3335095249865838,1.2471752986794151,0.9495061761749223,0.911502146477878,1.4571220844462327,1.3930488720213732,1.462268270346636,1.4826812583697735,0.9818376404853624,0.8047169357396171,0.5451194982018778,0.501916390791278,0.5501177015177944,0.5829649884512994,0.7038696054150214,1.5028147450478948,0.5611973113994021,0.6648223349570104,0.8900561398479038,0.8152963300700703,0.6476081954961626,0.9046170609671872,1.4853440684179222,2.5430551639459,3.558009266172564,2.883980946775911],[1.1467446323307073,0.678180804251112,0.6150818483444648,0.40627018670266585,0.5734967391212338,0.3819767783989911,0.26632550796550536,0.3833776563673203,0.31508542740701356,0.2794992574027285,0.3517430514979199,0.42718620920637734,0.32516528002762074,0.2987817477127984,0.4478423987030753,0.39815474521147154,0.39890941563397886,0.437169692555822,0.5206936112104013,0.4586718778836641,0.5214562325690679,0.5572926426158477,0.5509628683273503,0.6560153911708249,0.5735159434375038,0.5301973502181139,0.4240592310071677,0.37189560843077574,0.38318926078620585,0.379778213950198,0.4686430081976056,0.43525373100723386,0.5581222760178611,0.50417915125742,0.4371186942793044,0.38459630960859775,0.41041345665509454,0.3907298641200647,0.3594839013870599,0.37389331587374636,0.4852167949486977,0.4856620343876621,0.4384013238767139,0.5737937858801188,0.7540003966929223,1.2326600990936643,1.2717626092129557,0.6671964064587351,1.2417952263593572,1.517832881967044,0.7547881174937761,0.8588590845463301,0.7330583317178486,0.577496059160517,1.1087123410211361,0.5931679771859032,0.45310275504743386,0.6449373879825822,0.8097792433403371,0.6660880738863842,0.5274002482451837,0.5871864721304,0.585746813421784,0.6622059549155123,0.5487414914458485,0.497891417493529,0.7226847515777028,0.5748923991902919,0.7308055253012067,0.7244558099724335,0.8542948633438674,1.1295323539166844,1.0241271863390446,0.8917871490741931,0.6410666509134721,0.9838219647735376,0.5292632808385129,0.546692425220528,0.4583555867858125,0.49549963635895067,0.447194789850808,0.5733395472146099,0.8009296421777008,0.42839914571771487,0.4753157184757704,0.40035502010540486,0.40482666824969465,0.5219376443384464,0.3874980304078771,0.5026588073086403,0.5104072541767435,0.7641871388961274,0.6325540130024746,0.5594956056310355,0.5074564998911708,0.6214731408894231,0.6134800222338569,0.5170820360329667,0.5201825881417598,0.795245275334259,0.5439428656285581,0.7239962796331562,0.5256946330290257,0.5588768030209003,0.53889176451861,0.4972477679118242,0.6595236682709206,0.5854286878981408,0.6399712710863719,0.6848343797426585,0.4867112200838157,0.354683703548833,0.30108136348916625,0.34468786635992965,0.2950216376454852,0.3202279703821724,0.4105762827782014,0.3452811850223345,0.5661887070367794,0.49023645225610546,0.44119732963376745,0.37790028582184115,0.36504011164334366,0.3110205380024588,0.3188712850584464,0.41913637194483927,0.4659040024060767,0.43764594322191264,0.40423600453631076,0.4189040251801368,0.464240949303998,0.5268963788383648,0.4364773015161467,0.4858683110158601,0.44411446222925033,0.4305713667177864,0.5886652890104974,0.42691431236648625,0.4385434365816649,0.3584563323935718,0.5490829091140282,0.501541393583544,0.4503530959182223,0.37714118736809993,0.3645536182729951,0.3390766810220494,0.293437831747122,0.342944838085559,0.31353845732010865,0.39464279213899456,0.5265138938857186,0.6469396487176946,1.2033490993887936,1.7477393806459847,1.1992969149419912,0.70909359483294,0.5123885895470779,0.5489263719439345,0.40994599617155963,0.510417364264726,0.3503133835249147,0.33085120524909295,0.31437623974795675,0.316821702771041,0.41245834272402315,0.5184867524554443,0.4636094638545633,0.6117172539060286,0.7318852266086898,0.661466958304721,0.4994074821630177,0.38755102078783377,0.3603675936345465,0.3399851251363983,0.3332316355645109,0.40802940849199026,0.42067203081560184,0.6301697765159076,0.39754461305191696,0.4619129130035694,0.6381495800233963,0.41374930382377706,0.430385223400479,0.43830745575255475,0.4203747814636751,0.5855764025835896,0.7235452970239605,0.7510926261545499,1.7327387975584694,0.8134497566274863,1.041600491785254,0.6379108333627875,0.5754029406108295,0.6038230650250719,0.4762690176279446,0.51844072763711,0.5836778606893321,0.5371841005747086,0.5583361721827637,0.6407918795375644,0.5085859819971382,0.5635396295428601,0.51614055175671,0.5323607998048259,0.5811626359054635,0.5972725483680409,0.7149824919150838,0.630640919051989,0.805537982682855,0.6586527545093851,0.6864355328927969,0.7786674924027026,0.8424471342332926,0.8313974207082228,0.8447038270587836,0.8417222927039727,1.0151985167512192,0.9162383595530488,0.7477724145139194,0.8239158541238272,0.7706647789785726,1.902332503934705,0.975431068970944,1.5783310044184016,0.8345180237318971,0.8422520527064351,0.8577202082983971,0.8153837992825963,0.7358517293303074,0.7292944634396399,0.8650471822266247,0.7637686153992802,0.8436870208711221,0.6933587972968057,0.9047457124227379,0.880092109239443,0.9878993818462853,1.3317974279699822,0.8180352558445014,0.598042284846231,0.7172124907593871,0.9272073921209644,1.1356570173548481,1.2119143427440375,1.1848145813959279,1.0664520041442132,1.086808908761914,1.314527766538621,1.1777852417259569,0.9625031591890756,1.3050929665595006,1.4476173423119074,1.06205878078444,1.1471619009611373,1.4650703065195518,1.3730177060491389,1.0504040053956083,1.11291987692862,0.9503070008813149,0.9559566323714773,0.9067504094066993,0.8532669007627662,0.8259065808102305,0.7102064531978425,0.6903273225026477,0.6732921406745846,0.7101453443686956,0.6313502501500129,0.6565846347793634,0.9555347202499171,0.8628944928799731,0.8045076228665317,0.8665565374504866,1.0940448578202624,1.073977213076446,1.1182271405466038,1.2689125360471378,1.3759880261413635,1.2572988500101867,1.1535271941153402,0.9008448914817038,0.8460226849517375,1.3207963013898043,1.3111940141473326,1.4114470987296424,1.4878227117422649,0.9781874601713701,0.8238162777002837,0.5687996490728211,0.5342783288226366,0.5546591521335589,0.5588147545434442,0.6699387084581574,1.5587827321211667,0.5766291190929861,0.6691562010534926,0.8657370443793405,0.8482641704527324,0.6941627939254823,0.9041291245197455,1.6260281964648466,2.5827029399387444,3.462089038951566,2.9600191912808453],[1.0312129540960426,0.5926307873508724,0.5405039391384965,0.3953171677030504,0.5571155427984379,0.36281165962629225,0.22664321457484252,0.33418662438408453,0.2887002556460465,0.23827429989672677,0.30661052573185665,0.4111191215748303,0.29140948709360337,0.25567369835536136,0.39682874153404457,0.3380732484858898,0.3561241981819544,0.3828163687125988,0.45529728882740456,0.41429679091944505,0.46123612046087303,0.505250198515318,0.5245624643857633,0.637483760102435,0.5970149005913659,0.4968775220809935,0.40142847563206885,0.3477678110545865,0.34858994714363867,0.340773473287743,0.408587323105564,0.38651848277983875,0.5053293053518678,0.4458714491917823,0.3804135872705404,0.33635619950835566,0.3588144692990562,0.3473133843282639,0.3216348116028073,0.33828178493221633,0.47013265367933554,0.4497084555002658,0.41144760943699765,0.5523955581335424,0.7358176710117179,1.239156117246808,1.2758069823622018,0.6495445506228232,1.2368189179094067,1.5257867366959275,0.7392650500207083,0.8774878271425367,0.7199048507866203,0.5763914342110337,1.1053495974184893,0.5522950244993051,0.4364702006501524,0.5916286362648746,0.7477719725386767,0.6764680975586568,0.5092150580045572,0.5582687863012606,0.5208942827495004,0.6000694022979305,0.49154852522979425,0.4488625137990887,0.6779534118221641,0.5035465531133917,0.6595082081239795,0.679438496266562,0.7990393977083381,1.0748207194927308,0.9616546702234585,0.8232860525945945,0.5781793500268086,0.9181286948908091,0.4482310607988525,0.4710019362099597,0.3862576709383423,0.44954924600331336,0.39410053425969416,0.5981835075908831,0.7451076201219695,0.40082268215918293,0.47029836685562304,0.38314822456490816,0.3614105209023707,0.4717399504198903,0.33236949968275736,0.44642026373200744,0.44822449538448206,0.7000899673678453,0.5804909228170135,0.4918678135418487,0.4514516869264889,0.5661736004041246,0.5676933684541033,0.47427443858798707,0.4885733406489354,0.7479991542628501,0.4943317991130205,0.6761910374028542,0.47361158830728445,0.5218795454403766,0.5157294991818089,0.471694661560642,0.6319207694902292,0.5696721408453761,0.6196611946948543,0.6654156533186879,0.45789434940941093,0.32563272091802714,0.2579640139232619,0.32635432865329034,0.26476648254560436,0.3066892558474004,0.4075553315540295,0.3238748351690364,0.5126845254217667,0.4531123145748419,0.40494097219290076,0.35913774687857225,0.3433298711705265,0.29794552692333265,0.30328033636886814,0.4145324327330095,0.44086156734441473,0.4151497426806609,0.376933326994563,0.3854918701063341,0.44734682205460846,0.5053151222251067,0.42099776005649475,0.45484069846885067,0.4352603175801664,0.42353132870551446,0.5778274744607108,0.4215597176058992,0.4374805889800062,0.34243437090743034,0.537683529573607,0.4747485524034535,0.42088299630602455,0.35356804899586053,0.3524879913549386,0.3077062591067489,0.26875836993324836,0.3074916062758538,0.27929445987094687,0.36067015059027085,0.4877558314831113,0.6014488568329214,1.1100203974473628,1.6772395561393247,1.1772695654615053,0.6391920160826492,0.460027828993374,0.49645411161000497,0.3705304207099557,0.464826196497817,0.3200472550973961,0.2998951293436227,0.30083590477922584,0.3112918406665906,0.40871107571969517,0.5107901343811949,0.46416349672542084,0.6153009355310306,0.7317791532548659,0.662948179606212,0.49578166617382846,0.3754041403192469,0.3509869140060686,0.31834135059450563,0.30388781575096313,0.3656546330559549,0.38733307983938814,0.5966081259406858,0.3564714659957596,0.41599365427596097,0.6197092940818003,0.3702556754646885,0.398583071185808,0.4241589570080905,0.41053498663451826,0.5685548248660548,0.6916220223385441,0.728674664323372,1.7184450590085896,0.7989743064208804,1.0324718300124212,0.636760173978526,0.5787200049821101,0.6031383371227739,0.4690428380743624,0.5089664683346744,0.5743525019275809,0.5172984869507539,0.5391958528249957,0.6387638364500459,0.46391650418794944,0.5022487454718375,0.47663976969538874,0.4872307235278892,0.5119227296838921,0.5328093316786336,0.682446193405408,0.5758287282614502,0.7294780539223717,0.6093770059212507,0.6308315219964815,0.7203838089736563,0.8023417222842227,0.7916551182549593,0.7922626070805387,0.784235553477788,0.9549047922566077,0.8476614557061855,0.6882972592946355,0.7540763112084122,0.6929117185230854,1.8628802940286557,0.892843326408156,1.5030570752974741,0.7514819409736867,0.7376304397269512,0.7691492321262394,0.7284695434055473,0.6466744116445264,0.6445330836958917,0.7913581090372516,0.7138084736885199,0.7982121301829541,0.6609693391891477,0.9010127472837163,0.8703894155366796,0.9736062466790439,1.3556775179346212,0.80581771982238,0.5767011076983323,0.6577525291696489,0.8414440962384875,1.0431773976980814,1.093063825670287,1.0796860272133526,0.9701485770573541,0.9754257063705163,1.1853226597884212,1.0681070440140146,0.8659479588400565,1.1820799467286085,1.332946044274952,0.9731053789671701,1.0299280423288164,1.33620704472052,1.2849874252578355,0.9645819833358763,1.0059823208116614,0.8552880827374958,0.8458654963179743,0.7980707347307738,0.7484913440688146,0.7319997638553667,0.6325591034123315,0.6058592164060241,0.5971419168871653,0.6506288428918667,0.5821349434705164,0.6074302280976525,0.905339352887755,0.8188095769420058,0.7700503058996091,0.8242415029311102,1.0404615269057573,1.0209394491645771,1.060253384706046,1.2091338770246853,1.3240601721724785,1.163056540676072,1.067404776474928,0.8412793835690533,0.7781974584575154,1.2249631160148295,1.2349012746733516,1.3413712665429607,1.4439914769527478,0.9488180516197063,0.7996943411213985,0.5494677675130719,0.509322842119451,0.5075874734643074,0.5008440224808969,0.6017211618367784,1.5247594320386835,0.5369769204455179,0.6171626329028305,0.7859349954944803,0.8198282903158289,0.6615133179380355,0.8443516881381073,1.554423710352254,2.47246923724364,3.1416709082291736,2.8022281992399347],[0.8964523602374941,0.5480097354344892,0.4919766607074691,0.38283842785195316,0.5022293963484392,0.3884619498738738,0.2638194751077841,0.3514270243677054,0.3379095709008814,0.2695873358174619,0.32012351269497985,0.3940418757500804,0.2968717782472107,0.299682388617987,0.394984600151983,0.3476392202883844,0.3839333582502024,0.4097610502228285,0.5115585325293198,0.45800806166356406,0.5285444398797795,0.561662612430482,0.588317503999042,0.7115806770959492,0.6461124252654842,0.5784176834313502,0.4599923828452056,0.3879766626313372,0.37492791314152096,0.3550115613182303,0.4105723568364776,0.3687370505434169,0.4896047957784929,0.43954870309384125,0.38556895909355987,0.35471343557993995,0.3620820734773883,0.36842571316760486,0.3585853791782064,0.36476728108657125,0.5191603645938744,0.4705414861328892,0.4467861451056293,0.5931292020086987,0.7931946357406036,1.2760678087002861,1.3469679299671908,0.6852053453686902,1.2146687402733496,1.5042768209827133,0.7995155334398145,0.9457233230374748,0.7476515305669964,0.6276286324196441,1.1130061370942352,0.5770446170074364,0.47622199418936295,0.6411829151769654,0.7564224346442114,0.7359199595194065,0.5565606264959887,0.5861168845059829,0.553270285347716,0.6599282484471792,0.5582945608596155,0.4998686849739625,0.7168086176438832,0.5357474659928767,0.687000146023628,0.689991231286315,0.8017568726124277,1.0597060651254473,0.9473870042954904,0.8577697867692828,0.5687501370779121,0.9209719983324939,0.4739268242212172,0.4767856535926742,0.4060748958265333,0.4710305607901439,0.39327290191550635,0.581287433769707,0.7757249137818133,0.42577395845689264,0.5207258906387646,0.37981085155514066,0.38421574449957563,0.47042812078181917,0.3668673618828971,0.4481890162565073,0.47471401729042195,0.7177884454633732,0.5842657198713618,0.4831631556952945,0.4440476877683711,0.55651372951108,0.564558587031403,0.45969615580205975,0.4664122939863086,0.736480548014571,0.46520819566644844,0.6569188134784876,0.4654244586589824,0.4927827547574493,0.4651352558422325,0.45506202532588114,0.5620182021026782,0.5466067324531105,0.5984726064802139,0.6590499457576611,0.4086649563089278,0.31292642558277833,0.2793980303258328,0.32490250692333605,0.29894521198650076,0.3330936649996372,0.4204323163906506,0.3639160038625901,0.5911214110183497,0.4864441429953086,0.4586449662107831,0.39387627068519404,0.3787315896271302,0.313851958267179,0.30876956820502827,0.3858495458932099,0.39299560200512645,0.37578149151039236,0.36519196199472276,0.36150209940215144,0.4437123893731985,0.4761657241047159,0.4018353871181233,0.4185617894978102,0.4091915549726933,0.4087812661145735,0.5728871320922577,0.39873730897083765,0.4182473967852611,0.35110227610027817,0.5370662853850239,0.5248467225536856,0.48250537860949627,0.3928822715646578,0.38794489707502505,0.3436938791677243,0.30211121817948683,0.34770387162483835,0.30086216144050404,0.3975533054265059,0.5296124233689754,0.671467564433632,1.0927678120839233,1.7249408219409592,1.2667892118180994,0.6477250506318681,0.45715640155875864,0.4932370269787304,0.3724040276124738,0.4543387280886537,0.32174959978567425,0.33505559641758464,0.34397168389143173,0.34424531590637975,0.3958437121245459,0.5171300926517416,0.44961832323858975,0.5888358830678609,0.6781456516546299,0.6250991705361054,0.4870560188530844,0.3786650852616394,0.3610080419699756,0.33147123151659486,0.3013066932321172,0.3505949623515211,0.3754260345856152,0.5653367074716786,0.35838888252245604,0.38062296158391723,0.6467129008741762,0.3486921958920224,0.35934042987275794,0.37730306564725963,0.3750420510770563,0.5576201497598913,0.7097485850548002,0.7840000262150405,1.7712074640658007,0.8785508145583385,1.1086935100371855,0.6466683901746846,0.5864379806162783,0.6167952744308911,0.4922845295653148,0.5483868257907121,0.6001729857074646,0.5280799012001696,0.5437678644165551,0.6793182258644471,0.4606237353501089,0.47920318558875624,0.4698828705772966,0.4673137389291393,0.4873617487762833,0.5180075138770261,0.6437857105007371,0.5564774470595117,0.7023504690771235,0.6233901583926303,0.6382478914104388,0.7391982763682351,0.8324972652947491,0.8225797356787304,0.8261099196629905,0.7576807612168981,0.9593474118205165,0.7969523253250836,0.6649248095137911,0.7379461588450255,0.663671890696585,1.8020538962395976,0.8572574715179876,1.4472192630633731,0.6997835875062212,0.6606024170824848,0.7160794367001158,0.6751728837804588,0.5730606420208717,0.5743762799724573,0.7439635669028815,0.6962013523882805,0.7633222508311341,0.6490490197902289,0.9462318004752781,0.9094823141230325,0.9782622844601674,1.4404932675565345,0.796277422816885,0.5917131604047794,0.6399733618655611,0.7806596476820281,0.9872667086857756,1.0064065353973666,1.0268062585564826,0.9092224955768192,0.906420529425002,1.1165578956855315,0.9902585669575438,0.8098874082491861,1.10445567943816,1.2540569930831185,0.9234893959889754,0.9610680764106719,1.2557520262598747,1.23221202938959,0.931778104317672,0.9584484186673965,0.8142640624812155,0.7868073443438444,0.7387442337415939,0.6918826671210121,0.6868662484166483,0.5973620243582387,0.5631467000346367,0.5580355235422172,0.6188193795167097,0.5512064606511252,0.5862081388090699,0.881563101367242,0.7789557013699265,0.7519848510672582,0.8160960066180621,1.022714518857669,1.0001633537438606,1.003382185671637,1.1898258374288275,1.3111919940880883,1.0842454033513904,0.9563033431796134,0.7577591775350718,0.6731909152541897,1.0394269594826109,1.1056504888349994,1.254144169205261,1.4251081398670378,0.9402256481737409,0.7690847091912081,0.5448724284924104,0.48381913380375746,0.4601151627027933,0.4853106265739935,0.5722185999289566,1.5044397372164027,0.5203701104756444,0.6290563629100139,0.7755503409709728,0.8428592686713939,0.6864500640062715,0.8605898296347311,1.611411445513579,2.593796670874609,3.234958985236743,3.1771561110808824],[0.6965694316514176,0.4756445609052903,0.4746593411673621,0.30045080859996776,0.4814372445462848,0.3255290952076189,0.19985842903427134,0.2806241056296494,0.34435509075980414,0.2602422394973153,0.30633093779785825,0.3988968156413091,0.28688649897133356,0.2856743400856499,0.3728475021433957,0.32500687715184295,0.3697387204970237,0.37040940344141293,0.46867552328633966,0.43160319250303997,0.5024508324146432,0.5479260737215249,0.6027822877746927,0.7328065969316542,0.6774349963858368,0.5808630970969275,0.46451368572599666,0.3831407016688745,0.3399423374271383,0.32265725945765966,0.39643792711454606,0.36832008680265965,0.47523787648773025,0.42533355150841035,0.36734606904345296,0.33821976239480067,0.3426808855135475,0.353561556748521,0.3570466267950609,0.37236641528761283,0.5157728561098747,0.46971484505877786,0.47269761201208405,0.6233343870571522,0.8178174250222072,1.289971526383889,1.4138329777012049,0.7267683306890532,1.1714684060589053,1.5298686666297239,0.8589498400681411,1.0658995576294015,0.7902312635755998,0.6939124206503086,1.1277463513972468,0.5744537457849163,0.5186044579649978,0.6291053199749279,0.6888677906745762,0.7974068846586801,0.5752675429932897,0.5881792812900061,0.5438627645411058,0.6516768309042554,0.5499604210986468,0.49889434520872983,0.690608647530357,0.4777788142872304,0.6278294025150079,0.6477617456235999,0.7526507732472651,1.0103995198603946,0.8725932391065347,0.7981724163883256,0.5433583323555728,0.9132785558526088,0.43823311525142,0.4430260010940912,0.3817758633311621,0.459851398551909,0.37592240565981394,0.6209808848987964,0.7263115738096962,0.43423867162878393,0.5555702751225037,0.38676273799494293,0.37685574321416493,0.45123351522009375,0.3419422769893315,0.42617232164120483,0.4488590907383404,0.7201763709098298,0.5819088380603542,0.48048178184804885,0.4412263688420861,0.570189440877834,0.5779963796131482,0.45188343598002934,0.44872928207100315,0.7025021180478743,0.42620964830479446,0.6141932166375701,0.4259725262521855,0.44283445625036805,0.455468817376185,0.43365062502568286,0.5463179258685548,0.5871258769216696,0.6197088027470916,0.6398048272094983,0.38437918381338043,0.2856654432436165,0.24114119601597292,0.29119330427382695,0.2559860902662961,0.3165143497180206,0.41546296395703797,0.3611087739026915,0.6021308172180032,0.4613909362260133,0.42907145441111655,0.36637815681603847,0.3528728523486096,0.28379640999719175,0.27770560482427153,0.3442753305772812,0.338020001261563,0.3468270137184359,0.36510138499414424,0.3617615027745641,0.49903060968916213,0.5085163113291081,0.4503404329045953,0.4210733583721722,0.4425401423748172,0.43646311899037277,0.5949907020538477,0.42510274816467397,0.3519202155916618,0.32342280578339083,0.5302266846001173,0.5462271427663641,0.4770651617778319,0.40862417742959095,0.42146112285961274,0.34032109858163145,0.29461911963376175,0.3155849745889039,0.2631911745801372,0.3713477738784239,0.4644843424227239,0.6195923759877046,0.9896349590601452,1.6520723371365391,1.267677492548876,0.5925424201475858,0.41696611228180147,0.43823304215575204,0.3479727090376,0.38686513862591304,0.2955441082610388,0.3180015826189067,0.3315638901954201,0.34794244607311503,0.38803331141347586,0.5385331552602975,0.49190933370410656,0.6420805758654677,0.7273431847342173,0.6612579917565158,0.5157651267395081,0.3871135809401555,0.3806299947971616,0.3147229325077069,0.2781491977142196,0.3259190366482928,0.3675549453313084,0.520779851272681,0.3254620454318656,0.3298950987333556,0.6245721466237769,0.3106783046202248,0.36674411633369797,0.4107569965716713,0.39801715866224924,0.575152600896329,0.7174853891145279,0.8158609509435584,1.807010203412438,0.9336948697420101,1.1829842224565552,0.6633246962946441,0.6375587129462544,0.6586896056096118,0.5470954337572643,0.6570454296723649,0.6980501031266824,0.6120971299579261,0.622219812981532,0.774023526978036,0.48075219898401184,0.430199212732397,0.4759922711920548,0.46858579603416955,0.4287895891869993,0.45631250744260676,0.6094946261306852,0.5239972457214954,0.6388488345090216,0.6162996121662115,0.6392172395194976,0.7487934351847039,0.8632005482756573,0.8598349975240579,0.888853513301017,0.7742640209212077,0.9812221351509713,0.7881871130500941,0.6643264187113225,0.7263670622569679,0.6625521909834822,1.6778087593718933,0.8289960181493455,1.380216886899122,0.6469065512467111,0.5572919856781826,0.5934749028286589,0.5892156729267314,0.521861654892614,0.5176134127846846,0.6648436988045926,0.7104762192211795,0.8027160315883157,0.7121222628708309,1.0270249435334668,1.08485961272527,1.101551917973786,1.608215989652859,0.8738474148838822,0.6482474904901108,0.5923606645105676,0.6461359945053491,0.8316160495162658,0.8491451785159971,0.8750330006685334,0.7457969348762507,0.7507648239449821,0.929610865603273,0.828255638928685,0.6752217211433015,0.9670033775444905,1.1366791921517658,0.8362368646745946,0.8638242087120551,1.1647175856653815,1.2052429667434719,0.9016502449650942,0.9096290161978255,0.760739293570677,0.6953625901420529,0.6195579713556487,0.5758544141515827,0.6157887220614965,0.5405660111990522,0.4926730511186164,0.5408808230281341,0.6186861217848216,0.5585947404227496,0.6122193600942097,0.9330659501875942,0.8101984976415277,0.8149870628296941,0.8826854697055437,1.0741760452958433,1.0441736778591626,1.0253956270383495,1.2838606254782834,1.355835151600104,1.0644830601673887,0.9298274161298529,0.7304103036048057,0.6269527909706909,0.9678127204549543,1.0825369681549044,1.2784346432173583,1.4934219888365212,1.0136859383326549,0.7967151174535115,0.604369187669073,0.4937944175258638,0.43095417411278997,0.4059938710085537,0.475781274020435,1.4134855904012202,0.4707561724273593,0.5756928173741345,0.6584273301552848,0.7989796614894986,0.6213891766922236,0.7889163196229325,1.4391347703080632,2.351838741894295,2.84062427039675,2.8864254062174273],[0.7224194008604444,0.4951325257197116,0.544897635061951,0.34728632075276394,0.4350254161085727,0.36162661962645154,0.29582642005273285,0.35936421817420305,0.42296692546338716,0.3325757918024394,0.3365283152463896,0.4218676219189174,0.342671613907859,0.31886211518367524,0.38183888603232863,0.3428467329763275,0.40169045371656015,0.38279481214759725,0.469033550302638,0.4443649704243241,0.5075747027761855,0.5614140902915521,0.614764538990537,0.7344657182197427,0.6770775660641271,0.5838226673225906,0.4858953489028318,0.3995450409943521,0.3650377116769685,0.371285320600479,0.4020976568241388,0.39227405253679193,0.4875725693177388,0.43327266620567545,0.3944263663438424,0.3643977188489414,0.3847134134873259,0.3760764205328728,0.4027244318602362,0.43323034682729766,0.5325584168628629,0.5053551692547578,0.511353879532266,0.6546127792320198,0.8340782982459454,1.2929752104175871,1.4122759202570223,0.7511693703673672,1.1894298998612938,1.5366641671359693,0.8972411592806115,1.0656723025400405,0.8130511669282972,0.7314651279500473,1.1675567709198313,0.6222555054515663,0.5475863023986154,0.6817024225307532,0.7255888089652216,0.8261148966654861,0.601473012008894,0.5833398509904681,0.5274841784830453,0.6500306109266264,0.5543116411583697,0.4964210092035603,0.6771589229906948,0.4742271786197075,0.6070144473482564,0.6469258499126612,0.7169775323927823,0.9615048187078188,0.8386094308912446,0.7769500083114346,0.5328058676853971,0.8748900472896556,0.44528968819047915,0.4448454372417473,0.4007184448313881,0.4755803764017095,0.4130673881359608,0.6253472020336633,0.747260105805942,0.47825145031741473,0.6045477687105695,0.4235940870324602,0.411257568663101,0.47441956885034303,0.3601380486408826,0.43627705131654726,0.45533411914748445,0.7000437226509235,0.573460850088011,0.47520799634911864,0.44707893702725304,0.5681085681976428,0.6119573916630566,0.4722860143125556,0.4711557679224388,0.6931471838037779,0.45505010269074825,0.6229710745020617,0.46934534173646797,0.4858444838567406,0.4808010112456408,0.4576539323602546,0.5544242642813029,0.5999371575080547,0.6147305866679899,0.6587878790973964,0.3784087130635618,0.33077169122278033,0.3149258073121526,0.33914665581739506,0.3121536725593033,0.3453459315959439,0.42375539624342773,0.37598896098839707,0.5933191802942072,0.4668337298550458,0.43125229263984616,0.3840543828356709,0.3594338461467417,0.3282818774555336,0.31684212205956197,0.3392327144032755,0.3449158206342938,0.34941088890385913,0.3845590323487416,0.4051860823048797,0.484473268925424,0.47963476785574866,0.44782663929791494,0.46134564136321293,0.46460825097010916,0.4735221221307117,0.596582899963194,0.44152907195586755,0.3792365708342111,0.3538490145496803,0.5426686470659708,0.563709424804737,0.5009443624687722,0.4420263612573973,0.4479118183487437,0.38029076570506465,0.34115813548959983,0.3728432248482659,0.3505990323481547,0.4532245402628844,0.5328818765107434,0.6906930533437861,0.9592918789877978,1.594907040936992,1.308044772670878,0.622913556614893,0.47259069610183774,0.49452498512690063,0.411303904725701,0.4347262028232433,0.36660232415713195,0.37224958564116345,0.37539635385734577,0.40189224690151804,0.4116369756682254,0.534479420041193,0.5044220494271063,0.633203311193958,0.6964698286520663,0.6475981318538925,0.5257455973036321,0.4120425613303456,0.4182722374932496,0.37376221605767534,0.3537330577561053,0.382132545324358,0.4250945595114026,0.5419367624158482,0.37629853536130764,0.3950269015962778,0.676640139450718,0.363501851928717,0.39991230803630434,0.4483651787438639,0.4427482976275407,0.6380163697319133,0.7791850702021501,0.8692528997296782,1.8246687679250937,0.9389594290086744,1.1596282351036313,0.7044889337106999,0.6548844199315418,0.6724476884531023,0.5437422783469944,0.6270645881731646,0.68013639809433,0.5907019727811592,0.593461389946497,0.7508672514594134,0.4714461959816823,0.43245773697516715,0.46428543665524585,0.4392965154467,0.4168090433421332,0.4623856837672905,0.5846476917826249,0.5061273277608974,0.6074732490968318,0.6319836535947336,0.6526518347078858,0.7389348161715724,0.8505937160759173,0.908025854222746,0.897611451491632,0.7659197879511084,0.9526104445371517,0.7193527597526495,0.626619430653096,0.6901427988484647,0.613681027690289,1.699596307751093,0.7822703585018782,1.3135224549242202,0.6165178522950981,0.5333547399204431,0.5695618460774465,0.5872520596186127,0.48241920918886044,0.4766526687286167,0.6220026560509185,0.6817021347964292,0.747786410752297,0.6560422401748363,1.0340852855245903,1.0340283500242258,1.0297226340479726,1.5867233116297175,0.80384304868647,0.6411216496454161,0.6035061935610442,0.6230460416579903,0.8100935677543882,0.8186552269562842,0.8732920061098066,0.7215135946189131,0.7216188316011819,0.8851382062099712,0.7795516578402032,0.6377355593775801,0.8963534846045116,1.0539412508083903,0.7844436430275672,0.7914381136743919,1.0586722852001873,1.1180480609323031,0.8448649242792493,0.8359187816131342,0.7108921766609003,0.6242875158471162,0.5651722116287026,0.5287610159486524,0.5552526030993822,0.5058351531566402,0.4601328416099193,0.4951846062697446,0.5756957466044135,0.514010061814716,0.5702555488956922,0.8517700049630068,0.7326642158131226,0.7542605686948042,0.8035347387410086,0.9790342467618102,0.937617870667962,0.8981620575581705,1.2188391725007848,1.3030214349980014,0.9186053154889955,0.8054591598884584,0.6528775189161818,0.5882287822094691,0.8375146300875128,0.882805921370472,1.0840704060040292,1.340156495380952,0.92215921146773,0.7051089824489075,0.5569431588773812,0.4895377547624486,0.43475318764491255,0.3937643660551404,0.47507401861126075,1.3937286378140412,0.4745661220158381,0.6164709171659108,0.6357746519245937,0.7967706872723612,0.7020035504855373,0.8191491593611588,1.5169788823164176,2.521327074363619,3.063333987721147,3.4653698734406104],[0.5631498222762064,0.45344168394056433,0.6053382303699909,0.36744021367742696,0.560344366682475,0.3942341011789377,0.34537227049046654,0.3821852336086192,0.4550200592335755,0.4082025152038844,0.4142385269700705,0.46374903066966194,0.4206305296647223,0.41550578406203814,0.4865615961753608,0.4324516598860361,0.5015883318072593,0.47103505818572033,0.553770064523335,0.5441578034456107,0.6309406444946728,0.6832694799506517,0.7495759752061879,0.8699376191132019,0.8142303872367984,0.7114818595526463,0.6086152235843546,0.5113109794581466,0.4732579361851207,0.4684874681340805,0.500853674437918,0.4578560846292267,0.5601967468400355,0.5133899701122921,0.4784198064410167,0.47450778654633846,0.4729467799383989,0.4915832532761897,0.5309892306919679,0.5684433844272253,0.6773135154351925,0.5934664820194006,0.6336373282773,0.7779101331419808,0.9609295294207125,1.387869401233832,1.5832332589198375,0.8894741944198702,1.1660183426443123,1.585904713408959,1.0472957448886082,1.308937583863279,0.9843547570321979,0.9217976005380499,1.250040178809688,0.7502547619397688,0.6951798098110363,0.7776598763315554,0.7730784846997248,0.9828939757104064,0.7220262399424483,0.6894873597869203,0.6516300730102242,0.7551933266751012,0.661178027260301,0.6233382834683049,0.7627267547073177,0.5559867307927737,0.6848056490407155,0.7507218265258928,0.8089722871569313,1.0412097559194569,0.8784998556757836,0.8618515347048084,0.6372055555949918,0.9655454247610525,0.5460654155010035,0.524571226802491,0.5048627224142795,0.5857693152739286,0.5215456888913319,0.7142170467737669,0.7663187267189601,0.6528641152790428,0.7636003444428746,0.5365771887519654,0.5145045554757025,0.5648166873039817,0.48410809542891,0.5319286453236184,0.5453407848207792,0.806572677937011,0.6814049047561294,0.583815967937771,0.5449324330086988,0.6793328441242943,0.7194853115344954,0.5441810437028062,0.506872089068969,0.6685122068696345,0.49508085131783125,0.6048263905329316,0.49470981376524115,0.5040653214352602,0.5604904412552665,0.5662539937869,0.636132768244993,0.8013352151898674,0.7956690877553843,0.7107211106351612,0.497882574151294,0.44774590838974576,0.4020661917478209,0.42542441851739654,0.4100752886244867,0.4679946289001011,0.5243197028317255,0.5145174130480565,0.7160109429069828,0.5461367531851355,0.5413857085341672,0.4737173236311703,0.483266072902448,0.4228569555431261,0.41643155524750547,0.44356469713079677,0.42347785955691514,0.487550747699227,0.5866045599562628,0.6081678658131072,0.7595274313588196,0.7373180113068704,0.7082949144019783,0.6396469881016776,0.6867327848290072,0.676441259140142,0.7922422147783735,0.6730242087063298,0.5135395472610457,0.5294218367668023,0.627186029012045,0.6963191843548835,0.6088825133697504,0.6015084861697289,0.6032031271272358,0.5056626501736216,0.48300498838587047,0.46443595683040206,0.41852569682037827,0.4672503712742936,0.4981721856411317,0.6367163019077464,0.8688656218837779,1.5402244920584345,1.274677203473756,0.5942482780462688,0.47075601604487777,0.46713553073654723,0.45236697307621887,0.4676884852113593,0.49689652061987144,0.4988073592801878,0.5497682561407174,0.5787031220869248,0.5866170935823496,0.6830916944085845,0.7194874147555322,0.8550533103253285,0.9035508447856386,0.8496722581695934,0.7499560139565397,0.6302714386173799,0.6226369436328303,0.5235389403785573,0.48599671701061053,0.4764387489873012,0.5076372926665297,0.5776867399672155,0.5002934849819188,0.49399613172597984,0.6993726193208427,0.505923549995377,0.5938695145813958,0.635513997426536,0.6125636496096633,0.7184604877709274,0.8385972676540763,0.9908567353915182,1.9026137934894705,1.12905688695717,1.4122894615050123,0.8613450313318578,0.8742917194601462,0.8804507229542308,0.8157795786095959,0.96799589812918,0.9901283160463326,0.8966250701633512,0.8813305614166708,1.0327464105982833,0.7206291415016451,0.6002443282274095,0.672867537723831,0.6335191788603328,0.5313730190299562,0.5118390141861665,0.6229830284905256,0.5564469788274734,0.5583499497250348,0.6081624592921856,0.6440005133018114,0.7064605325200957,0.8188673561226866,0.8712451977485167,0.9000238581225405,0.7598953948769349,0.9167976577516791,0.7570336780800256,0.669351718144334,0.6886409114344191,0.6666706692571243,1.5272307026519485,0.8175835416601899,1.3273914296939044,0.7526582056614373,0.6338505345394283,0.6605410157910441,0.756553152077763,0.6839371310145981,0.6790763503993834,0.7923261632555111,0.9281941599590767,0.9701745926970576,0.95273705074364,1.3525336316894458,1.4103716768363554,1.3217961217840286,1.8955479687550314,1.063757472540228,0.9147390010843833,0.7945233545839395,0.6623943321757954,0.775822046414608,0.7496948836136215,0.8452258202585208,0.6820805874443644,0.6454928686643029,0.7928648115506686,0.7024244749453326,0.5779098891854252,0.7657712953417415,0.9307652762549751,0.6903902837451187,0.6866333054907443,0.9503449660339569,1.0511798888501012,0.7741183233565365,0.7525633817935885,0.6414891770519993,0.5666855438751998,0.5229137924054827,0.5274634144788964,0.5605947990779236,0.5357935966003683,0.5734716885864554,0.6262837637793167,0.6849102338323514,0.7068354420831886,0.8087769840359157,1.0601799875650113,0.9152210722520683,0.9952724603642461,1.048542981928559,1.177880839930724,1.1326303186423774,1.057451631322244,1.4306905195585953,1.4245196471029287,0.9807979372325922,0.8503286212955198,0.7068408066481789,0.612580144535031,0.8358247790413981,0.9603772099360639,1.218104736210225,1.5335285196615664,1.1472525784087746,0.9005969947801091,0.8236814348671085,0.6756351121858725,0.5163952001578522,0.48334035233253375,0.5207629129397188,1.3194476061845652,0.5471126196864552,0.5919465855394616,0.6360628919666392,0.8510876598273275,0.6247127238945469,0.7917413349346574,1.4076722648143611,2.2918893056139145,2.7120423391682005,3.188857175912519],[0.6697832236489135,0.49768034899976443,0.6322838614516237,0.3734683989637398,0.531522286625942,0.4599711248216075,0.44036467666121876,0.5038775812328041,0.5499148646706226,0.5394801381713203,0.572622757473944,0.5990246234653765,0.5466188768092889,0.5552077501621837,0.6273659379379589,0.5646402922364415,0.5739292330319473,0.543024873913813,0.5763626012293205,0.5845646445488171,0.6605375284978291,0.7063842758385205,0.7574236130708347,0.8702113986582645,0.8046596161517848,0.7307115082115423,0.6399246855446459,0.5480667345911291,0.543855464209962,0.5499464394854774,0.6007875236474662,0.581112375935326,0.6589169423630051,0.6168241099169468,0.5866050651296658,0.5587084971337778,0.5609164556157087,0.5591692574737533,0.5698299609103917,0.598824691294073,0.6897058325088921,0.615149157202521,0.6533105028869767,0.7751177127623384,0.9343527714565965,1.3406171660901103,1.527331793718745,0.8751803898965149,1.1987992136477297,1.5631728718883808,1.0410551228950498,1.2605705858801413,0.9313323712348286,0.8795256894171649,1.1990352119942682,0.750647938308749,0.6918837017072618,0.7951646305971523,0.7800214577875874,0.9882494258401977,0.7419148804127425,0.7197726938175814,0.7101312315032782,0.7992202193400346,0.6919321801828566,0.6711010013134774,0.7903134270136695,0.5950909843624839,0.7067392912051971,0.771173869452993,0.812212036597567,1.0274318399846838,0.873516578128741,0.8689636293244939,0.6817785525868815,1.0218294314931164,0.6101134942702555,0.60060886715984,0.5866093473842748,0.6483532204512008,0.5795756563313521,0.7158147837685109,0.8471819268194563,0.6559137190346336,0.8020231404909584,0.5887353462158379,0.5719817193569963,0.6256060535522622,0.5602587138033158,0.6122978111625501,0.6408875008205872,0.8826491706712086,0.7582390564632675,0.6872121024142209,0.6586026543244051,0.7885552219916585,0.8382836068478206,0.6508657809437954,0.6356966843002817,0.7723857575853714,0.6231735885977712,0.7062555800654342,0.6376491468667562,0.5902520152903546,0.5915972703627311,0.5722374734195339,0.6234111133015233,0.7395220794589134,0.7192202245789695,0.7810463057221549,0.4904915494006454,0.4990744707242421,0.4928029207058288,0.4478173817619486,0.4861228956136525,0.48565279030898084,0.5496105682506053,0.5243011374535712,0.7282666752174953,0.5732506061749377,0.5622401303595455,0.5393934589974935,0.4954586530628203,0.4435840790371595,0.43281823394619634,0.4191679793252669,0.42633463818660633,0.4722514734216411,0.5618343645104634,0.5889769460218616,0.6794103789827047,0.6503149035521584,0.6254472095977874,0.5990299964420658,0.6229806825076938,0.632285687923438,0.7075503622287043,0.6064832778387375,0.4913245757256037,0.5330512644226332,0.6371408861808344,0.7140207139392888,0.6234235081336137,0.6233501167459903,0.5922692018375751,0.536613558510456,0.511282044841208,0.5305306169699995,0.5027915808714494,0.57767592961486,0.6160504969908306,0.7701084412439407,0.9099856244101409,1.5576949446871355,1.3606782041256948,0.7073600368945434,0.6176283047052403,0.5997081012245422,0.5656108969540236,0.5317824658068331,0.5248462409836384,0.544958006456693,0.5481418035629169,0.5794135316246775,0.560307017983982,0.6537581443649796,0.670800838249603,0.7933938133285591,0.8232389778633279,0.7901369863274031,0.6979301217271732,0.5983024017958477,0.5996944706613424,0.5356962956744841,0.5185633436650271,0.5500550631689028,0.5744465399944116,0.6485010272380772,0.562951504424431,0.5460999940788746,0.7372431851734147,0.5269020912774549,0.5782055316082203,0.5937849458652671,0.5797514419473978,0.7253571343724075,0.8382807811148082,0.9891950597514744,1.8771984372114816,1.1045792862752186,1.361137096194644,0.846574287814834,0.8277402150700431,0.8226567827798174,0.7273731186356914,0.8197422454280187,0.8848648588148467,0.8130750436331116,0.7857171664574517,0.9615427061976953,0.6734425367665025,0.5675372923525743,0.6110686152405653,0.5700824574999055,0.49617455993886167,0.4875809987909147,0.6140139955445894,0.529860710480898,0.5472181462770469,0.6118930056188695,0.644314008424555,0.6880893983100547,0.7970041586309786,0.8925554791986868,0.8989873900895651,0.7768636757444166,0.9134187514627001,0.7354715077733813,0.6516660513512256,0.6692151261469284,0.6469465344104757,1.6088540418578627,0.8114435651698481,1.2902555482900462,0.7335973152246027,0.6359929197756791,0.682159273719236,0.7533743463821824,0.6235653386438305,0.6333888769338933,0.740942153152684,0.8484998727658023,0.8645074496701115,0.8446075656144266,1.2990878976221745,1.2914136646762262,1.1876376146399756,1.8030669668429526,0.9507926755245827,0.8593492919821218,0.7785674991005385,0.6741350197005803,0.815440600440648,0.7742555072147999,0.9133211141973939,0.716207647099004,0.670991545376331,0.8063725459710448,0.7221177797122474,0.586436810597438,0.7635517197403041,0.9123437284113773,0.6754182278350094,0.6697027052495463,0.9135569160396178,0.9962854259232665,0.757702481354614,0.7304138606162736,0.6244634668567456,0.561130803483682,0.5290504781480193,0.5175187278976734,0.5430548001576283,0.5292441678222017,0.5479433596802864,0.5951389336396897,0.6497608677964725,0.6534066054984367,0.7382896562961406,0.9580706298358213,0.8257975195375334,0.8890239504492107,0.9401927406680493,1.0680857562873451,1.0212330014981867,0.9417776260479006,1.3465784359456263,1.3717911047011815,0.913162922973071,0.8018627997226941,0.6738617724625425,0.6221206890944294,0.8165320735072853,0.8196204891800462,1.0361421843298153,1.333327570099806,1.0086901634964314,0.7755656357493632,0.7160873725253981,0.5978516642524342,0.5289997456203039,0.4920397157752161,0.5279141794369636,1.3003260114977988,0.558080686769415,0.6295803519145333,0.7294679602121563,0.8700076425942556,0.7608438555279681,0.8623559006056083,1.5857908994178427,2.6444274232251184,3.2570124621565344,3.9384392328503823],[0.6956670927389569,0.6250204573243946,0.7275198041007328,0.6189390100608609,0.7648593747922671,0.6005242947788144,0.5989124724933274,0.6294503848685918,0.6267848608974649,0.7218772845355755,0.7483294073380921,0.7528702882215247,0.8542545305496086,0.8544901723746198,0.9778469098198959,0.9594855451966943,1.0432589860772512,1.1055277979742941,1.1760477547798895,1.1866274323900126,1.2838558027462783,1.3187458445152027,1.37418942136465,1.3906863371297744,1.3400290620344149,1.2998999459200922,1.2058192088211748,1.1217943865486488,1.0895944222732548,1.0168749144375648,1.081489483527642,0.9944114675922742,1.0390789247144412,1.0869006628976527,1.0753269094310642,1.0999405186593834,1.0394292495142614,1.140839660077188,1.1346650453105944,1.173991127268917,1.2176176365602926,1.1985592729828785,1.2367741161991523,1.287832949926261,1.4189412613395027,1.6806867203086735,1.8863183407579645,1.3853674613006757,1.539995963310439,1.8856793675487296,1.4801181695306598,1.6803899102939786,1.355617632154045,1.3428753455390314,1.5077156625229913,1.2814469922362763,1.26509845713601,1.2770199832484253,1.2417029692645947,1.4978320618427396,1.308073808924575,1.2853815612955566,1.3025049821959096,1.3550580654527513,1.2777812895641965,1.291010036814806,1.369233901120581,1.1858071631550406,1.242209837288266,1.2709693448539745,1.2964183923056651,1.451434756971914,1.3234980935255314,1.3626021114908025,1.2306017794818636,1.5436173928842554,1.1936922762888476,1.1595113556434864,1.1629734228236288,1.2284910687450579,1.1315518821819297,1.1917174869568723,1.2411797811822105,1.1794516260488017,1.2752017864271372,1.116728297393535,1.128633502469684,1.1065254048102764,1.1450362167045278,1.1340429849908542,1.1669938480218274,1.37318018797205,1.2292280840549163,1.1136707493986362,1.0549487381453966,1.1437614812075454,1.1357913644315956,0.9709276827763929,0.902844255325562,0.9388762796652688,0.9298202506774109,0.9329803267973624,0.992948131551582,0.888730529887594,0.9784134828369431,0.8831055135016884,0.9268400019609004,1.0369909864681757,0.983092790543413,1.0500858088918006,0.7629570520233074,0.846446862547894,0.7667317550009588,0.827404172041985,0.8715812528213048,0.9588822457265388,1.0868937923544348,1.1329991166949076,1.2914351035612017,1.1428177316994395,1.145779679365176,0.9924407607301708,0.9725939183272003,0.8364488585132307,0.720844130952834,0.7878794899443111,0.6832940563204151,0.8130698271777954,0.9038415426587874,0.9658126336121726,1.0741023125436227,1.0453579531499642,1.063629316478832,1.014112861924139,1.0600107922330626,1.0540039091426083,1.08711990838099,1.061842144013174,1.0111334840987785,1.0525498115846326,1.1319419736971237,1.1797995255699225,1.135323564336254,1.1944238835265204,1.1377886788033347,1.0873230765760846,1.0368739930084863,0.962713936472441,0.8886069047403179,0.8404418119496625,0.8181168867577622,0.8578508996313363,0.9890478216263774,1.582138731294128,1.425191340858822,0.8638159708001653,0.8418447311774361,0.835844795184964,0.9009934631723046,0.8785381134966953,0.9488568535392705,1.047522990222243,1.0758575111225381,1.1208310110900281,1.101096205108898,1.1422020640988746,1.1492037979887972,1.2530793033645764,1.2536304426484084,1.2186962119592768,1.1475956377551997,1.0883515463361033,1.1071471825348052,1.0510153238425386,1.026352580658514,1.0077523855582735,0.9902240907234128,1.0432849513965496,1.0703741067729138,1.0317488483749309,1.1820869099830331,0.9738363571489728,1.0569106493064535,1.0913561413429276,1.0747899095816964,1.1772538604723866,1.2533144410564956,1.4006288895680468,2.078094978438819,1.5249432651021266,1.7125643010260299,1.267816173986513,1.271165933606782,1.2196079770488535,1.1613761084230074,1.25368891520798,1.2941700303639698,1.2054585133976425,1.1522811654528047,1.2761616596432452,0.9871854550559849,0.8402268603928785,0.8838915206721952,0.8468918470279649,0.7366085821499364,0.6716920184834932,0.7706590614969178,0.7114197687764569,0.6464829407258373,0.7005015483242555,0.7476720755824479,0.7685634036997893,0.8409487672532637,0.9237919020939624,0.9857983839655998,0.8615628902999143,0.999000319921269,0.8806659597353581,0.8123186436291714,0.803097524580662,0.8318892545541912,1.5541069849564955,0.9528134372877113,1.4315307307136802,0.9512061400096243,0.8818299224186241,0.9195572662987048,1.02608603582245,0.9288189487086627,0.9397691958644409,1.0343206441398174,1.1750549472409528,1.1864322985185367,1.2050301650994464,1.6421552619406972,1.6645755494699526,1.5144652292476448,2.124704064181351,1.268904824517644,1.2053482806396763,1.098923670131217,0.9027063401893173,0.9732842606209302,0.9166944597969535,1.0464328695004188,0.8770744810265594,0.8033748803255721,0.8982286023011624,0.8366374294436844,0.7166334863819573,0.8173721983075879,0.9448792144283144,0.7291064071493624,0.720469765222552,0.9315337316264396,1.0178077826192602,0.8001168574176066,0.7691033902193383,0.7050061357069577,0.6742311959853746,0.6897484758356058,0.7049454255746817,0.7023405719096966,0.7000007736752828,0.7857985932016207,0.8287695238956384,0.8557711143891517,0.9136791740544318,1.0161653971569833,1.202269269665525,1.068247606823164,1.1792525380161525,1.231150221656899,1.3299343247257767,1.280994042425854,1.16482558599275,1.5806264266896974,1.5016121923663153,1.0657202771256273,0.9463141306235924,0.8312982624061013,0.7474347820945028,0.9349048061016157,1.005033559455649,1.2597184875487002,1.5868921132749187,1.2863214176900555,1.0414451034070507,1.0445558441282374,0.8893212133280943,0.7483554176249934,0.7057338558689484,0.6729367884234705,1.3390722807651443,0.7035104719274832,0.7131925787513383,0.7849085374748672,0.923702499226317,0.7732968834464846,0.8986878486025516,1.577721775374943,2.6013536219160387,3.1463337721396325,3.724561786227613],[0.8743752499756036,0.8070509961875902,0.977798231339769,0.8007017257841843,1.0141238036150513,0.9807476007501389,1.1181363258222965,1.2813324811968423,1.2676515391383725,1.4152122746848799,1.5114150430819764,1.5618564379320168,1.653319064478422,1.62374293185378,1.8041508263184793,1.8035443235194266,1.7998013996894724,1.824790630198488,1.6759177132052665,1.7096271989190075,1.663750236749472,1.6650103158216738,1.601907692813137,1.4867720784516314,1.5211107234103511,1.5529175691110426,1.588505075408613,1.6478712604783807,1.7774811589485235,1.8062049146209591,1.8787267735826658,1.8350613750612714,1.8920374455073956,1.8908642668007303,1.8736220153911325,1.8495915125143494,1.805448786055061,1.7431149785838538,1.6210740723802934,1.5942927091795132,1.546276565242144,1.5703842584557097,1.5638945381593463,1.4954668320512632,1.492140079471871,1.6934201908067927,1.894466645786477,1.5054349101951836,1.6271634025609019,1.9064898991790733,1.586582896481446,1.8172760915644657,1.5633216802730752,1.6077769989677242,1.8051609108346802,1.5627763658818943,1.5489346152266597,1.6859669526417953,1.6528439910177912,1.752081630885525,1.670452465233546,1.744782800301378,1.8492640301120007,1.7653017827847657,1.6442153518636695,1.7875711096604219,1.8006170447475323,1.7855934682024042,1.755823755210486,1.926551737184301,1.875817911484218,1.9078325569283046,1.8707161022101377,1.7884555835938298,1.866183053185825,2.0447661556808296,1.80150290169867,1.8235194961522103,1.8250023299046052,1.84184501053221,1.8016049322948282,1.72596287919636,1.8278082692545288,1.6552811613888772,1.695430053340924,1.71467312924864,1.7240713288282206,1.8481722599847112,1.8196971643924815,1.8812759262996994,1.8862261895024197,1.9772089259842214,1.939603974576937,1.9028219397219532,1.8840661005474029,1.923780375313258,1.9148042462062353,1.8123421401656312,1.7530422758521447,1.7645054732620484,1.775793260069725,1.7124156132070387,1.762789224333364,1.5951612951808272,1.5930085652292287,1.443954820070642,1.4311337450146016,1.415947050022595,1.3710612964644375,1.5347027300840714,1.278216729543348,1.3684620020918226,1.3455054121844487,1.3134214484078588,1.4737467984036328,1.388750357255902,1.5900754354643631,1.3636898171343064,1.6312616071735677,1.7630665888834292,1.7720134652212531,1.6279219423667737,1.2771331333674603,1.2031459300112946,1.1249043336414317,1.1257589139987672,1.1158425949850879,1.1956259768306734,1.2648397030262213,1.3654879185212225,1.2840079376960387,1.3057805960266675,1.2841754947566146,1.3861746634909673,1.3027281692323525,1.3036499760646318,1.2073496081998105,1.2046634640627205,1.1382842631945018,1.2760221412577304,1.1703020480255646,1.309280530781544,1.356708464484845,1.417010101693331,1.4838840272105664,1.6202871809356694,1.5404520346068808,1.5851344865915271,1.5254783661891396,1.5206163870744533,1.5291056962653506,1.589382883515254,1.6613916950132548,2.0594382793632526,2.0404107446966853,1.6851397835845705,1.6625762856315902,1.6142265248319043,1.673922412653541,1.5497222211347024,1.4867394989042655,1.6254603410674267,1.431706831589184,1.5225931849291972,1.3703643654505266,1.2539050583817308,1.2688157446818988,1.2975996048348835,1.2853140263532772,1.2575862037967407,1.2677225761951232,1.285016287139263,1.3929793172713894,1.4640582724271922,1.5661387732727892,1.6384523511733435,1.6978317702587475,1.7543325743366922,1.667721896726574,1.6281168093962846,1.6006361271488532,1.4897026719913193,1.4533549683842386,1.400218327620967,1.3821816147995256,1.4897081218042927,1.5549485982848494,1.684690215353494,2.2094679749113957,1.6843170873880555,1.8559235602218154,1.4290709476328203,1.3556657427690837,1.3121164803773606,1.2875673436089174,1.318924009330693,1.3610005343010554,1.3458395609625615,1.2734993085273831,1.4478440721472903,1.2374759651782816,1.2079115417639636,1.1893597072926423,1.094738104406757,1.0773863639282963,1.0680362130804995,1.0081275196596486,0.9876586161764903,1.0382091967944604,1.0207609980847787,0.9969196829023919,1.0316192478853148,1.110659499518635,1.1505712104286854,1.147723794319495,1.051890123505642,1.1125082853637704,1.0046518402173739,1.0075938042031476,1.0199362981802222,1.042544810355077,1.740000077362938,1.1596591592234688,1.559415996718347,1.1918829195184562,1.1827655213861885,1.27131640347226,1.3351311370425183,1.1796990515785826,1.1844449738617906,1.314957775410275,1.3703358721091572,1.3177297431032615,1.3272621678385437,1.692737600097498,1.6187960716904743,1.4451890444020314,1.9832124591111302,1.3076430096908498,1.446018368348688,1.3892385060759889,1.3002192892757676,1.4382553458072034,1.4148318733900342,1.5301473299062014,1.3631338045453203,1.3103732023634287,1.3992534433267025,1.372246479579794,1.2084028128949453,1.2950705369589952,1.3716418996463653,1.162691469558665,1.139975521187967,1.2834063293577205,1.3080011372003,1.1034685345582906,1.09287106791425,1.0461413272923685,1.065051978031031,1.1227749449984599,1.1316576977294597,1.042742058384481,1.0320164206312186,1.1177836384069182,1.0701220372070763,1.0614394111938552,1.0920237692543073,1.1679614629351887,1.2778791688270639,1.1509415880105893,1.2309677769168754,1.2635375191003622,1.2694278274622435,1.232550560960461,1.1509534290545966,1.536499648208787,1.5785477785152608,1.141399786901527,1.0620503747432168,0.9816254411699641,0.9781221936018789,1.1313559830979438,1.0360847365682324,1.1523101116573709,1.4373964682767078,1.2648436140193366,1.1360306405575364,1.2013627528371473,1.1339653565996044,1.1064096183830319,1.192499878214272,1.1819154607259517,1.620632064936238,1.1801067032226642,1.1263858385442838,1.2026153400416064,1.3167540694223108,1.1704169310904498,1.2117219508773815,1.839732688742025,2.929376861354411,3.6530590284850115,4.529061109909432],[0.9805767105131827,0.7952397870187129,0.8811509629610617,0.7094380904289439,0.88617975448689,0.9160569433159156,0.9755410286183195,1.0726521526896222,1.075584387904422,1.1190074523267235,1.2251119255566396,1.271139932058111,1.2199016447443725,1.2270912232000328,1.3325937278328033,1.267375919469677,1.1822286052111837,1.1271487154301316,1.0127639522748375,1.02674779865334,1.0196998661180792,1.0326896519557178,1.0614880625511773,1.1101201794477933,1.0273291865181051,1.0212270278282929,0.9951420813004048,1.0000310779500245,1.1148738936787492,1.2056226782799984,1.2609898400482262,1.2830947140225082,1.3823542885284628,1.286976795365667,1.2425612323316417,1.1687988995730276,1.1766196315624746,1.0798477967914573,1.013690560522379,1.015733392104007,1.0312420776459978,0.9735384325675741,0.9907905234556544,1.0184590770726671,1.134453342929966,1.4915652760316822,1.6926295657589954,1.1114723281400598,1.3720334617965206,1.6717154049886793,1.241396217832169,1.4193598647906536,1.0937714683475581,1.1054111283007184,1.3166571681525998,1.042245424825626,0.991050243157993,1.0976177504091684,1.0695189658260889,1.2403352975374797,1.0566489069812688,1.0995877856436465,1.1747886420444122,1.1766016168705242,1.0384846283905713,1.1109456667522224,1.1723182196861406,1.0872487695307271,1.0983721636287955,1.2305153145986207,1.1715450165414167,1.294295578472434,1.244125130768705,1.1943799067428615,1.1849905406901207,1.4430872225704339,1.1166464739167257,1.1580022001298125,1.1467033343409365,1.167777887643226,1.1466681622946597,1.1161714806599847,1.3433943431117958,1.1071684622190667,1.1616671872824909,1.0957327884701926,1.0603205428902347,1.2127193413068975,1.1292062365367275,1.2283458270434962,1.2351890910771035,1.4156987817358533,1.3581256264023027,1.3571543250743574,1.3612511444486597,1.4751722985275095,1.540507826925924,1.3963896940404055,1.3932117630043572,1.5022919815330902,1.3506388401531015,1.3488964847829779,1.2886896327772348,1.1828593640091547,1.1546107204975524,1.0845417168994358,1.1142689211409456,1.0893077292714435,1.0898374215641058,1.2449952119289802,1.012321208797728,1.0272008395717425,1.0395441408105914,0.958478786960842,1.0374419689753391,0.942314689004808,0.9965698930697044,0.8656710136447038,1.0985798893851508,1.0544363888346473,1.04133350007133,1.053498307439291,0.8905003619788947,0.879131489137729,0.893651638113683,0.8542410377352263,0.9107331063475029,0.9265111365677159,0.973846083349379,1.0276496343116808,1.0048411335900576,1.006002035524317,0.955404265493551,1.0022766286763458,0.9687141614334608,0.9668816570682169,0.9376254163730722,0.8944764914260912,0.8258374527990744,0.8984393730981939,0.9007422315399624,1.0534926483788043,0.9496407874832599,0.9400197322091721,0.9481847369156784,1.0302798556824149,0.996007849575895,1.0880667820163799,1.0918378321956619,1.1564310556849378,1.237225316339761,1.4065332551970255,1.506662981028281,2.0520660450758634,1.8925538369972588,1.4152650675917051,1.3186565685450857,1.2691415055442794,1.2300189317090524,1.1296920893566336,1.0361490741370887,1.0707554305198321,0.9464178102521641,0.9839607631807494,0.9295189775969307,0.9346121379104908,0.9496145683106167,1.0476691543501695,1.0349646765785192,1.0158808932946568,0.9659699009235599,0.9332349051974829,0.9641508686614657,0.9837936696278298,1.044837402355055,1.1314676645652015,1.1664009740486123,1.2208551943956374,1.103642994622462,1.0969689087188426,1.1221827974236005,1.040418803515499,1.013256485847548,0.9773197622473225,0.9630891814403766,1.0658703659960447,1.1323546844234507,1.292227341390148,1.9883670878122355,1.321150162140096,1.5549719359900653,1.111126707756217,1.0629047588783909,1.0498143794931885,0.9873995728797152,1.039232934200421,1.1096477493560268,1.0963285527156077,1.0719248650887907,1.2263078593646257,1.0225079692374268,1.0017856387145583,0.9963754022677614,0.9365226452244891,0.9352129512093195,0.9473588664649788,0.9418420389041664,0.9097573866467924,0.9698536760175842,0.9631652488208429,0.9397712858441096,0.9863473977034525,1.0660593145821242,1.085177208302098,1.0802779631957067,0.997871516814414,1.1064268981115895,0.9449247158083433,0.9331867753371722,0.9488286709540161,0.9454842124254317,1.8058592541297733,1.0587504726418726,1.4560932391904018,1.019044574407478,1.0116461073543286,1.097872187716195,1.1462879216834614,0.9845647987789072,0.99156013115558,1.109898236231592,1.160881386455526,1.1306560488862962,1.1326704245794237,1.5087106654826379,1.4468719383572033,1.3112367088509946,1.8763701741545264,1.160115119572168,1.1835866879621628,1.1402057005620796,1.128425497221395,1.2633357888317749,1.2466685812762086,1.3481185856369133,1.1840361329800364,1.1541659897673056,1.2629029092543522,1.1878026525141847,1.0694440239630658,1.2000404338082864,1.2916158817639103,1.0927325794467992,1.0861788424030796,1.2662715486544778,1.2971201941767767,1.0886109386276064,1.0795623867355995,1.00373760823369,0.9900508464104358,1.0066967164188079,0.9801068036710109,0.9515359065012489,0.9285537594556083,0.959597404902137,0.9357165604106439,0.9511268694388507,0.9605767215310966,1.0151559024809786,1.165487915009638,1.0356777567653006,1.0655348891975647,1.1067014616101027,1.1491753969023133,1.12268979665413,1.0743372470304404,1.44741379913123,1.5323739682006317,1.0694454263044115,0.9881114216553814,0.9309599195200307,0.9017584773750036,1.0198309199505045,1.0079677208518834,1.148130493707803,1.413638221805735,1.1731075798628423,1.0259734789184094,1.0139619729090366,0.9399400184499455,0.9455858483177622,1.0105543611207701,1.026104688809255,1.5978915639386075,1.027283289103972,1.0246945798522864,1.1088636689779678,1.1855297682744073,1.1423315891191574,1.1851146321470343,1.863880166166591,3.0151748279572628,3.845433797162573,4.622232231868752],[0.7327828259195432,0.49654027987449445,0.565357650858731,0.3672579348313358,0.5372053658111038,0.45997288982929513,0.41364190408040286,0.4639299849071262,0.48011069243433613,0.49141467395203997,0.5700614233420448,0.6298400215875636,0.596428888726594,0.6061032648706093,0.7261065158532874,0.676832477395854,0.6875922314221706,0.728285712748936,0.8038977004277068,0.7731604299573012,0.8878317540367293,0.9059449048607542,0.9973078786083784,1.077798816751444,0.9431885572236008,0.9131854946631746,0.7849729704112187,0.6809080384302402,0.6820265377388823,0.6722330205614774,0.7796679089252294,0.7167138405282192,0.8510686954181991,0.8304641177188622,0.7619409776104976,0.7252811215293122,0.6715365872394109,0.7109896535096718,0.7053867992008218,0.7344212078193116,0.8185950390478568,0.7784704011878092,0.8239168768251479,0.9092425347147958,1.078355446597334,1.4415279012091666,1.642002586055121,1.0300659536726697,1.2681733922865452,1.6052664705482353,1.150948415089161,1.328253132570554,0.9936971358354026,0.9522721773219597,1.2033835874273195,0.8841725415004429,0.8362602011296829,0.9110964671260131,0.8955423529660941,1.11180511774569,0.9033607810935635,0.9114326172059807,0.9348056023905502,1.0250786456832262,0.9212954920346207,0.8873312894677772,1.0166852367682957,0.8325710341618551,0.9292905032705756,0.9602119104561969,0.9682133076759387,1.1745456333078703,1.0496751044785622,1.0874102576573745,0.9070107623187691,1.277995300001328,0.8460237615371092,0.8539278598262411,0.8000263132167186,0.8423359474534172,0.7408883450257876,0.768014827904757,1.0067149371329656,0.7457898082708885,0.871728614626634,0.6840033863664654,0.7002190251541738,0.7731490806331144,0.7485081916652353,0.8253500459479892,0.868236277567803,1.1198764437583582,0.9912887800073253,0.9197603100899703,0.8488773415418104,0.995987813959689,0.9914637991128484,0.8304698523244026,0.7780866974004199,0.9382625501000482,0.7426046059796595,0.7501797683513304,0.7226244330967236,0.6300740206843817,0.626034188280627,0.5651628092575551,0.6100079508659361,0.7076762641135658,0.7080446664626112,0.7610097267993519,0.4742023761408361,0.49553302026046714,0.48587223379759126,0.47572028014879925,0.5225403831800708,0.5456828152541661,0.6416594125531094,0.6771730312329761,0.9494153213685066,0.759247663306279,0.7336410937462975,0.6138985815660707,0.5754516476974207,0.4710028937172979,0.4233681543371421,0.4369635073277563,0.42668480386307944,0.4780056580546155,0.5576602645702118,0.5937104143141101,0.6822263962606564,0.6530544826725502,0.6338201466722484,0.6059256670370895,0.640047382079805,0.6415092279564871,0.7250208735862617,0.6530143277713123,0.5836058163434565,0.6292171089950238,0.7706933611337993,0.9177235069073277,0.7809911944021057,0.74821138774133,0.6870198579632395,0.6454032118296892,0.5928702545081258,0.5803001551662322,0.5328802602972404,0.568761254996665,0.6479267679714981,0.8395530851472933,1.02546805218931,1.734853814898444,1.4999997016195867,0.8255162333578944,0.6934358827531957,0.6557356888727208,0.6159329221170154,0.5586049598444665,0.5649785097572291,0.6227494660817974,0.6281868130068777,0.6600905041766825,0.6493549230549914,0.7453733817704397,0.7369503344271574,0.8901386367771728,0.8827934396832596,0.8529338025010713,0.7442212578053694,0.6622023054541577,0.6504602849336364,0.5930827220921856,0.5914641977240166,0.6211959480471093,0.6539621064209962,0.7500345030131381,0.6533677718403282,0.6325425399908153,0.7883289704614053,0.564518438136381,0.6127892062641559,0.6276414227767466,0.6192188487321241,0.7762359323354359,0.891006555078937,1.0627873624930995,1.9033990007948964,1.184422134460225,1.4388331751694965,0.904037787832804,0.8717373074752421,0.8505673139210168,0.7531825923932166,0.8514836594524745,0.9062867841759303,0.8218554230051687,0.8009677794778131,0.9374181239102998,0.6505875570005397,0.5365523504982287,0.5829069545585027,0.5681465499497288,0.4971766991543308,0.4914979787500788,0.64465522673298,0.5602537453712261,0.5837436460952803,0.6253278168417529,0.65593274281149,0.7111666125276564,0.8083489974366325,0.8693563321471572,0.9020374659788304,0.7935037484469089,0.9484936826213777,0.7795322431127423,0.6848717125556882,0.6998669183827784,0.6556750373320104,1.6278949792050803,0.8179138969649413,1.3230079958080014,0.7088732767767385,0.6111400832357791,0.6710931870232446,0.7427305464568378,0.6208811222616064,0.6266600981194878,0.7554411295776388,0.8748805425781535,0.9031190892381018,0.8714699519704155,1.2935862331590586,1.3214749319395755,1.2220269901891048,1.808958417953705,0.9684584980674362,0.8434964547324396,0.7587298203961051,0.6990843093144119,0.835297222197288,0.7916568616088566,0.9106443886175953,0.7380250527218651,0.6886875091200486,0.8455835434748501,0.7254895106062357,0.5985323150215571,0.8208401502436398,0.969742116817626,0.7237445053099528,0.7342875475896966,1.0041376562644535,1.0636772934554828,0.8076456881408257,0.7947791264924469,0.6678326540088968,0.610566981812983,0.5603317425877967,0.5414683688489964,0.579970195652708,0.5494590005357619,0.5392794325377236,0.5944810861714432,0.6655540592708736,0.6643367269001367,0.7390975819091822,1.000172846073774,0.8642840922591153,0.9190099752549609,0.9835038407409846,1.127625323381737,1.083119724932346,1.0079031308676758,1.3975919913822348,1.4160948734371406,1.0018551264597284,0.8710376515563862,0.7236379287838023,0.6421279843978918,0.8537653999600991,0.9211181755773681,1.151300985878952,1.4283926630679253,1.0552045091417164,0.8131728502216076,0.7189554477047014,0.597897058136371,0.493791978561499,0.47753381289971314,0.5148274910964932,1.3728230019780807,0.5219297850457286,0.600869490314197,0.7211402033630943,0.8329156598820177,0.7408932151206616,0.862100652741596,1.664343244788514,2.796107418240206,3.5326313734769266,4.056103623303199],[0.7956103705283818,0.5133742284565354,0.5144526763287373,0.3404499181895874,0.48242888195452,0.4086927114572685,0.30910498569768563,0.33413338097615836,0.35250827763212916,0.3178728679873955,0.3649271091349262,0.4596811941211141,0.38597711328928314,0.3941559095755877,0.5068952587771304,0.45021265115070863,0.46448090962641414,0.508439938105373,0.635047398080032,0.5835823545699915,0.6916200608615729,0.708261153753249,0.8124297045417794,0.9220968267534477,0.7979496880429343,0.7615943687100141,0.6230717329573473,0.5014087314064043,0.45281439331776097,0.444493112537128,0.5464560241478507,0.48286594022602697,0.6354775973433716,0.5911229663366554,0.5156881832639457,0.49205705343303385,0.43727109121409535,0.48365587106370883,0.5137479253818713,0.5307004633764335,0.6558290038271318,0.6122465910595284,0.6461283514595797,0.7726263194289977,0.9455514492739037,1.3554237583690614,1.5169345063057085,0.8692406993698468,1.2158351853763498,1.528611680847861,1.0264409470202003,1.1674984440505136,0.8815681017332461,0.8146444043684556,1.1673473646437438,0.7335280438593936,0.6614735062142241,0.7901809892553852,0.8015043600041742,0.9210638481906174,0.7174537398697085,0.7027024813878643,0.696943623827845,0.8360407849041106,0.7308760647679371,0.6595834392973825,0.8385714780264644,0.6292325620342927,0.7759497238578701,0.759992708029544,0.8179422416596577,1.0504232838134033,0.9212917201102416,0.9454347719415128,0.6976471242660162,1.1071186528446726,0.6229532700282517,0.6335787048339684,0.5655646838160003,0.6064739110222853,0.5017259657369363,0.6113484527152543,0.8788184890827158,0.5413125799083655,0.7034387392689444,0.4760079917235143,0.4976029145729655,0.5506421661695023,0.5146941893278001,0.5886235193132427,0.6331850389218144,0.9091056327882431,0.7730694564373433,0.6881188954851426,0.6206697682199268,0.784302531225022,0.7792795213975094,0.6143719305059426,0.5805470294917643,0.8091057180461793,0.5542146008038394,0.6188976905021323,0.5164048806640771,0.49698091057686816,0.47835957216655284,0.4528142347825119,0.5292700479127229,0.6120851517055678,0.6300284754152856,0.6540691710835447,0.3665037236322696,0.33819940294851053,0.3210470359886702,0.34551969834184565,0.35647017450252877,0.39546747465597426,0.4834079711367513,0.5123582587553734,0.7685855369434109,0.5898983458134581,0.5665120247168717,0.4620390154587256,0.4550054300400988,0.3600850321262743,0.32780991107886304,0.3373705118819734,0.3406484681425193,0.37553104189691716,0.4355827260666458,0.4481830378441882,0.5585678441998833,0.5361918913155277,0.5067351755256547,0.4851141862729741,0.519229624309654,0.5233107559339631,0.6303405442392004,0.5195775451058987,0.42959371330320933,0.4678542293460374,0.6409800701296947,0.7511006390504879,0.6432549433762169,0.5900376592817764,0.5276048569846613,0.4710201697437668,0.41154277489165303,0.3987584685625078,0.35208858140213206,0.4176929887298483,0.5323255772551608,0.7462686172602405,0.9846150973156111,1.726826155798972,1.44330046851198,0.7139595740073793,0.5283549926252835,0.514726486427088,0.42735191678609386,0.4094157363485672,0.4020976700464598,0.4242827530836433,0.4549429824754671,0.48208517824349034,0.4821246406081336,0.6061650363940996,0.5904055140589686,0.7404099758785241,0.7754110683145189,0.7418234996317238,0.6208751337182955,0.5220282255020283,0.49871437733989304,0.409801854393268,0.389013853660775,0.4165014277038146,0.4586113828107399,0.5782241590754463,0.44491184083699464,0.4454325597949365,0.6519827922830346,0.38966099978419116,0.43864876548623216,0.4553478496583294,0.45278669915797864,0.653178259635571,0.7968233911333665,0.9310216022929154,1.8618502365600849,1.0454006694210858,1.3028054655172567,0.7698134770687826,0.7373898786896462,0.7351559568151199,0.623483063682818,0.71575339516313,0.7860089673085034,0.6921278964155305,0.6849263999159539,0.8398763480718917,0.5489197374217634,0.4691069980148848,0.5152415262317851,0.49783547390168664,0.4449212755243007,0.45912079032929387,0.6244237192157575,0.527347702498815,0.581493398357468,0.605389626677796,0.6330546373537067,0.7026768844788734,0.796909268918171,0.8512648170081163,0.8709925231090305,0.7799562033969687,0.9462368884481286,0.769486867742941,0.6623694981489545,0.6910290532595884,0.6209571668581061,1.6826971316508266,0.7837713025657277,1.3337976595225614,0.6528132406424201,0.551504973528901,0.6115978274730283,0.6571895098025355,0.5343222108964522,0.5461456273011778,0.6815287271735322,0.7621838545807709,0.8103006047589814,0.7563659537140813,1.1659911071238311,1.1786635812581119,1.1379732410378856,1.6905725826192972,0.8926422343290791,0.7291014372298863,0.6607368412987634,0.6535100948879478,0.8281665127657565,0.8033363905577832,0.8964253630065885,0.7309730909796732,0.6953732129709647,0.8925521832575534,0.7512085926817254,0.6097989673395432,0.8596869112537913,1.0068800704941132,0.7410071983695924,0.7653142942845624,1.0439674062528927,1.0826811089949326,0.815188424742519,0.8109985709770288,0.6767265341117732,0.6153872610732323,0.5600197431669676,0.5327696718330764,0.5683881325644589,0.5225628078672327,0.4883354192258316,0.5382170020727415,0.622325274908231,0.5907042621717903,0.6522290864429957,0.9230124490047962,0.8111788274789803,0.8393151791446624,0.9006071479087848,1.0655663787551626,1.032198252978168,0.9898958786595883,1.3380667701772788,1.3887426997335424,1.0039584966635493,0.8713893634193506,0.711317964453889,0.6242368185618645,0.8783263782154213,0.9423006534310018,1.1582135072035424,1.4133009352984793,1.0020245316958483,0.7760311720211246,0.6336238094821983,0.5326157100890192,0.4298486224919346,0.4113864563926896,0.4841226593134842,1.4191140253261947,0.4742359871070493,0.5712987271436891,0.6913290243117096,0.7933708324978471,0.7129214397147768,0.8346674238611828,1.676863529246218,2.7984633315822656,3.5449696772189427,4.000454473669939],[0.6621217164679652,0.4761112538496399,0.5411620722247684,0.3260118134544521,0.5009203496441701,0.37130712707776303,0.29232191012046255,0.3406551693055396,0.39313835117047014,0.3670701610022514,0.40295001567402855,0.4611941214900452,0.4101388827218062,0.42468293736131857,0.5230677903014429,0.45912901877215323,0.500770862227226,0.517824123502078,0.6337630626453493,0.6015579504520154,0.7087130094294709,0.7462512486020523,0.8260468344080062,0.9546489918574455,0.8548187308523933,0.7931492914268741,0.6626963772049846,0.5446004136768993,0.48302664742251133,0.4604335537140325,0.5557600554578112,0.4834084884952534,0.624887491952044,0.5913286362338098,0.5159773085089727,0.502375362901843,0.45764460735248225,0.5126159270364447,0.5553425125614329,0.5793835202292528,0.7123459412555937,0.6410295864096764,0.6848611534878095,0.8216667004912637,1.0013264739515713,1.416785831611328,1.627957585665625,0.941226320422452,1.2018768094437107,1.6038980173304573,1.1041942953122985,1.3180983683394285,0.9762837735929875,0.91778917727793,1.2184775416998117,0.7720810752216938,0.7124869405115696,0.8100594696441701,0.7966166542325117,0.9968450574681713,0.7544246184018325,0.7323398288942716,0.7131375654699301,0.8538109383739255,0.742072648112344,0.6798945680807795,0.8522314305495222,0.6283623194566667,0.7628968605225501,0.7809961823477829,0.8330707231992737,1.0490677599928473,0.9261910749710478,0.9479623626107528,0.7021493869426259,1.1027171299010339,0.6187134469718611,0.6240709822033549,0.5612174617955362,0.6037330661728453,0.5186662383630821,0.6675365620188789,0.8272562274698662,0.5859940428421038,0.7550499512238014,0.5174735794019121,0.5257415800028177,0.5574358855521246,0.5189538863541198,0.5916365340775597,0.6402803294157097,0.9148789680528779,0.7821093901530146,0.685762731849702,0.6239237412409865,0.7898046908474905,0.7848726595993958,0.6070834560520488,0.5608869086657786,0.7725201144257315,0.5293882485035356,0.6213663037026413,0.5090489007666644,0.48497264569648857,0.5054602909587108,0.4916980612184252,0.5674520287625536,0.7109929632016442,0.7112707062799594,0.6539554065314871,0.41110684387846685,0.37633367787682964,0.34315442609733326,0.3682047871844091,0.3832649433789173,0.45713915583894943,0.5420701993979834,0.5793981355802177,0.819286130137858,0.6101658317060071,0.5986264451997705,0.49242452859313757,0.5150177579411802,0.40477153444421093,0.3582144373804595,0.3832493372299383,0.3613567017061104,0.42201805813478827,0.5012464704563089,0.5217394519098457,0.672671028170425,0.6456975155207451,0.6353470666517367,0.5728093950263732,0.6277509195227986,0.6165861886072718,0.7399034636422905,0.6382914816666007,0.5159197453661514,0.5376717606954144,0.6963295216790873,0.795387696684272,0.6860467808837445,0.6401629333285512,0.6103251285141598,0.5103565163673781,0.466712131273423,0.43285205087535983,0.3805684517894464,0.4438569938599209,0.4994619403636464,0.710059660366726,0.9723792074613133,1.683423093677044,1.3896497547811262,0.6767548279779088,0.5047664449754203,0.49342723586402853,0.4356205767723862,0.43537658693726405,0.45061115100089716,0.48059590168640176,0.5245032789174586,0.5489887746616503,0.5625385916057717,0.6896098161668002,0.7195521417256904,0.8804481551700297,0.9145560174436925,0.8633714196252166,0.7388920109039332,0.6137047578711933,0.58255711325443,0.4777787264252579,0.4385341148291778,0.4372488643861735,0.48176852459856434,0.5769276817012422,0.46768943829580956,0.4605302935446167,0.6650315051863623,0.4405978797081759,0.5293807608416825,0.5765956209668079,0.5701251159049874,0.6967413403277222,0.8229031026084485,0.9911561525507523,1.9363102696999979,1.146373972181607,1.4411407461044352,0.8462547171130377,0.8597602903138,0.853067390571696,0.7559664140592532,0.8850877247989961,0.9183124379911203,0.8115813203756643,0.7940259651492154,0.9302902301843208,0.6158984216171219,0.4955232076948176,0.570677460088714,0.5480838021197499,0.45869838339595687,0.463406348250835,0.6121268223695094,0.5330863343771,0.5864263862634175,0.6139791034612594,0.641856259092069,0.732117640354054,0.8513701731778336,0.8719163707639249,0.9154185961574368,0.7824346542643409,0.9675141236556863,0.7802748005769149,0.6635828309232418,0.7023850722186936,0.6605776652703162,1.5903451002379823,0.8059524875792323,1.3277294641197874,0.668455051181618,0.5528271579253532,0.5813898922161077,0.6565517824263271,0.5852918278988061,0.5900839114929347,0.7161787882485547,0.8526612963415098,0.9181390110160063,0.8675810696457313,1.2587804109393503,1.3394137899596685,1.2650090461395953,1.8298960777935718,0.9918447987377774,0.8139000215096073,0.7035718148482394,0.6211799879914425,0.7741997317763792,0.7557986891238887,0.8381715371011192,0.6776568323352227,0.654047628592606,0.8285066414717399,0.7167984225710291,0.5837753010770768,0.850440476855819,1.024178373457468,0.7509059090598743,0.7685598625172605,1.0706389271447403,1.1406246223172976,0.8479853156175606,0.8428772044255302,0.7017332472279849,0.6118230745482571,0.527208118579383,0.5001828375737,0.5587726306275888,0.5112602865966183,0.4971960010260113,0.5645070348422532,0.6427582454410656,0.6347024222289784,0.7256876135085178,1.0113590599498465,0.8752424188479863,0.9417680746836191,0.9978178191730178,1.1562296747549838,1.1166231439851158,1.0516654776257637,1.4280537918155094,1.4372397913597732,1.0272576990108964,0.8859215573423037,0.709577175015045,0.6095574735734767,0.8641374564978346,0.997064500898289,1.25108660847223,1.5266483169470941,1.0976396885880169,0.8494875683254142,0.7296781405068811,0.5949678620176804,0.44960356017111924,0.40700885449630797,0.4675007009517493,1.3956806680127232,0.48012500132789404,0.5802474933429265,0.637089342907836,0.7983362339029542,0.6505074175418029,0.8101453738849151,1.500823196115627,2.4724551254120986,3.031208308262757,3.3119563709784487],[0.793440655025959,0.5282441657673707,0.4994883600365549,0.33538454157631337,0.5113537683582,0.3881006830959938,0.26150407817504134,0.31099756571002696,0.33377670903974543,0.3067618026873414,0.3582387296788027,0.42791999420591587,0.35880620479023145,0.3605289563871272,0.46361314288528915,0.42001770451706555,0.4250200096980536,0.4785880227267108,0.6075318460017136,0.5471540167614117,0.6398850920777077,0.6611992669404094,0.7460330731951752,0.8669524441644475,0.7456130538002195,0.702319716246165,0.5772826116118285,0.47105046713226867,0.4210902798340608,0.3972454896570375,0.5105846518802251,0.45818486429460237,0.5935685452162769,0.5475482705395618,0.4646577603435642,0.42939446283043536,0.4065447552712492,0.4437234922289441,0.45676093383989863,0.468626504660014,0.6093017681517102,0.572453239677216,0.5899321700756507,0.7143678801253908,0.8956121094889077,1.3303168854553502,1.4855133494514745,0.8093400810054838,1.1967814342337597,1.523870885493299,0.965030476686845,1.123865718441585,0.8361380157627131,0.7670780239289275,1.1477896356011763,0.6598321807425476,0.6005354143747953,0.7272755751160852,0.7581125635802332,0.862862135072359,0.6736117632213757,0.6604802843265013,0.6492474502793177,0.7928766167363704,0.6732538752975502,0.6025448153584938,0.8122277952861653,0.5954480282067239,0.7538761380748901,0.7223380886798104,0.8274968176420676,1.05967402580038,0.9294185035241778,0.9257304354539146,0.6475893534583349,1.0598288974099803,0.5595043539234196,0.5862839836493465,0.5007040353097199,0.5330630267254138,0.45646082653838027,0.5996527388908802,0.8108304896247892,0.46063692003510237,0.639059996397843,0.4367499733620615,0.4600991690540501,0.49971644253534414,0.45187976715310435,0.5408230839890772,0.5812627377187483,0.8506164377961506,0.7231018564093387,0.6500788111703834,0.5809797655147483,0.7365416294804662,0.6998934095920799,0.5716586938234661,0.5498111418531476,0.8192951583620315,0.5222030392643756,0.6484282102153651,0.482521771162993,0.4808525767524895,0.4699987575805592,0.43790736604990654,0.5427527541196896,0.6055501865192501,0.627230299084488,0.6465005308195746,0.36490844192241106,0.3104052304992155,0.2787148217705642,0.3262088443211269,0.3125780148551319,0.38796645809489905,0.47946081824037917,0.477566574544207,0.7393064168330586,0.5777085667845253,0.5478134443687465,0.44362052024152177,0.44526367061038347,0.36499638262842815,0.34076444402136113,0.36441225292192364,0.36459911312843607,0.3788284910560733,0.41228612866769154,0.3996604542696375,0.5393044786139525,0.5286154695755867,0.486153947476101,0.45143879741023984,0.49126889182240485,0.4955957063495199,0.6354912421610943,0.5002367106063682,0.3984346901992183,0.4214572459315961,0.6026249818033772,0.6826317553407021,0.5916695109789524,0.5380212284994906,0.49749380573147695,0.42211089269315094,0.3702993607668093,0.35763019865067047,0.31152824736446477,0.3924320037214084,0.4946522022043166,0.7133851738164148,1.0511019581805763,1.8068068809156927,1.4342076702959494,0.7146682046574391,0.5006345084245456,0.5000419507094563,0.40480625222704403,0.4084840125062787,0.35464188736549745,0.38012231747475284,0.4043102456565919,0.4329786387805129,0.45099306483244933,0.5879428704594424,0.5688226940379921,0.7244564002033534,0.7897029969501225,0.7401763865973043,0.6038717105877212,0.4845195636842522,0.45634833718137396,0.3700807898357696,0.33808147127414906,0.37719505579841184,0.4238335199897415,0.5534058951927967,0.3856725569302923,0.39685715223982204,0.6408469497816087,0.3472105598619411,0.4038434247650194,0.43307120988201486,0.431926833510807,0.6326688924027775,0.781818261637259,0.8998759003592787,1.8684337107478088,1.0203068506071107,1.288719202222531,0.7366429192681854,0.7032112285258448,0.70290520193191,0.5987845654332794,0.7050358829202302,0.7616231324308299,0.6537011708252128,0.6699600367244208,0.8065410839470182,0.5221931740700597,0.46677665834156123,0.5091506833847629,0.5069216203118133,0.45757061114271963,0.47815600127412033,0.6639479793839895,0.5569669807529631,0.6402373318584029,0.6174118971315531,0.651587386352152,0.7417196667964409,0.8404501048399203,0.8406574364210254,0.8778189872204717,0.7993400805281287,1.0026080207763157,0.8333199655835188,0.6994283033504284,0.7418036454750709,0.6775242246564314,1.7033701597956086,0.8538549267905783,1.3873652100703346,0.6609675785719882,0.567132039099625,0.6158868098368713,0.6270228247802476,0.539349799393692,0.541463112894923,0.6871208662268475,0.7397236783553305,0.8126705954691014,0.7414881716840477,1.100950178429869,1.1529918597581603,1.1517897481710373,1.6813507070347502,0.9129784508336843,0.6733727271236646,0.6159908374990828,0.6667431706574971,0.8622595290803403,0.8818734019862191,0.9329030639594141,0.7787003758953546,0.776158466456345,0.9951176607545877,0.860641637328687,0.6853394647183214,0.9762587693565936,1.134588355510629,0.8290727039117687,0.8694174816895371,1.1785420342272792,1.1838947101789574,0.8962022625300637,0.9119592226551948,0.757595202254457,0.6992331385283534,0.6303501976843681,0.5902602093008524,0.6235164606489909,0.5586529299794589,0.516489957450313,0.5631946263239621,0.6422081170627444,0.6042845219060204,0.6583567244476738,0.9649780358507969,0.8530487444512374,0.8635990560520216,0.9321954430946092,1.1189528971634037,1.0920263821126508,1.0659931359009078,1.3493274881665878,1.4212108922411677,1.110629682825783,0.9665770810448021,0.7706313012400784,0.6636945619704547,0.981892948299255,1.101018324505878,1.3145055085348505,1.5325682938286949,1.0565872257186026,0.8333569118495101,0.6418476768947962,0.5397758982725676,0.43562822360046827,0.41704866805165586,0.5067798569853472,1.487925591044873,0.47633973720294887,0.5818868511236722,0.7081294257794231,0.8030987311110895,0.6625204273752728,0.8301736108785521,1.6131967787093833,2.6650137562641323,3.3512517480381003,3.4534787191182525],[0.6218839576841825,0.48327062673313975,0.5327747298625904,0.3541983598930318,0.5653387944669025,0.36776411309522045,0.27422824119711375,0.32342067810175157,0.39287114768377884,0.34800091823340684,0.38589316465752765,0.44484200905806226,0.3864788447259948,0.402158877231689,0.47865335628376116,0.4260902498379527,0.46495556566750446,0.46924521580960216,0.5923949775407465,0.547566650946682,0.6452927831460962,0.682913682022748,0.7304416032988966,0.8518024415645408,0.7709382748309027,0.6952182248444359,0.5734307918051368,0.48407170761553814,0.4446321126520061,0.4259522743402671,0.5063929624240383,0.4493324101736293,0.5721476666446695,0.5271664121834985,0.46409471905686384,0.4426777762205716,0.43685571751158253,0.4512045844145147,0.47293004046207915,0.5027471523903183,0.6086894066861935,0.5840282473751665,0.6066079272479783,0.7368544167990214,0.9497255745759764,1.3880249280810468,1.580312597115861,0.8606516719543104,1.16436285550338,1.5682927103422046,0.9893801539234118,1.224003087578952,0.8838262299786305,0.8232786274701436,1.1868881793258796,0.6911647534135229,0.6502497514221036,0.7272662161738707,0.7512997220413105,0.922943268884026,0.7165028518639108,0.6854801761078044,0.647090736352985,0.7998327540937985,0.7036837415576862,0.6264522008309429,0.797561042416496,0.6027162930056341,0.7470993812163136,0.7627904573969311,0.8421535993156952,1.0696838058405858,0.9316116790356437,0.9288751050003274,0.6553950237578732,1.0475413964203348,0.5634753045196065,0.5620750279187571,0.4913938399189479,0.5592448900541569,0.46660213059503736,0.6605056193269172,0.7424002682167333,0.5395791801667171,0.6570028416728013,0.47103650524579405,0.4697404916228218,0.5225318628843724,0.44909427514968203,0.5272251811599177,0.5650512451378124,0.8499125244285007,0.7015802290408808,0.6077480686511778,0.559548557734327,0.7023090278926799,0.6972073462133686,0.5469641833939636,0.5183016880799286,0.7394228344232594,0.49236282452598595,0.6323651599527496,0.48351187851826005,0.4778465413434029,0.5099613528363164,0.5028579985645334,0.6114533452535965,0.7297567807552752,0.7471887321806777,0.6634605775800264,0.4727005409192241,0.36884876095572744,0.3114791147268021,0.3586912398855058,0.3637472164068414,0.4172020028924835,0.49735472588462815,0.4888237541258247,0.7245062089739226,0.5470516545340668,0.5343217266272391,0.46184771867803914,0.463483326985641,0.3902723876830907,0.3567839271595202,0.41484731244168654,0.39953835644315683,0.44684637159619595,0.49442324119549486,0.4862586134109892,0.6702406026879151,0.6674691311153944,0.6195457074468915,0.5335421366297806,0.5921253970793178,0.5647594603096925,0.7082659191255625,0.5853827559492872,0.4569302929713096,0.4616471655993147,0.61219751001739,0.6629095186941738,0.5897991465446484,0.530903860064162,0.54021832226966,0.44292597130679245,0.40125306014010337,0.39829745415863965,0.3497881486912612,0.42285056188278103,0.48604970582175816,0.6510268064065426,0.9862752760102311,1.6911666627303206,1.326665148298573,0.6391217487913139,0.4709313095176745,0.4654178062671585,0.40843815912425985,0.4229015621033888,0.4077713515889287,0.4271588706261053,0.46013693319520915,0.4905573405123416,0.5047619277269626,0.6595847455700339,0.6486688944674011,0.8078117126133911,0.8835441872407379,0.8091825354313478,0.6766777619742804,0.534805589274999,0.5176226913710184,0.44230747911408236,0.3954968772594271,0.4065230360188077,0.44255905109410776,0.5185327487723689,0.4236172402635867,0.40897743740662806,0.691180577716159,0.4039493712939881,0.49975929839446986,0.5524913886206421,0.5400491588405797,0.6739583905334715,0.8140943411646763,0.939604801220517,1.86911686669679,1.06417507551446,1.338583624188853,0.7800772545644574,0.7951644712174762,0.8070850339817658,0.7282479324644611,0.879670831527474,0.9031216342589232,0.8092062241351147,0.8210387991227365,0.9499432170619622,0.6467238962282007,0.5394968550281553,0.6171102891770174,0.6038239763218552,0.5044080423390065,0.5002295132023515,0.6680958214494391,0.5762688135930067,0.6219400242391803,0.6173225194071642,0.6515274182306464,0.7533090947679048,0.8700547523286964,0.8472473374276148,0.9138759905477503,0.8025743853107655,1.0184279026174565,0.8677620404037539,0.7218861648970378,0.7501959780271025,0.7221686546253901,1.5563540252150851,0.8848343440471187,1.3761328414084362,0.6911188865264248,0.5754393685016502,0.6306933812148054,0.6727552606078427,0.6260421052593943,0.6246880899150453,0.7687584992307562,0.8851698832379532,0.9791942118736959,0.9248934205144482,1.2447949742513147,1.3747019990755678,1.3377643591978485,1.8448410503839114,1.071910102389492,0.8084320188745006,0.6814181571808874,0.654549760637589,0.7927659127854939,0.8083780035194579,0.8340461103673554,0.7028275040878178,0.7049842661879584,0.8738041495640523,0.7810641531706052,0.6468966257107206,0.9210507032163185,1.101889682043917,0.8163281659925029,0.8362435424879531,1.1445801749980271,1.2023190517722084,0.8924033662253021,0.8969670035006739,0.7435532325668965,0.668056014729905,0.5863558756908062,0.5571201471887403,0.6202615908682839,0.5555568090210299,0.5441786366686047,0.6264892176143678,0.7002630711018786,0.6926947374667962,0.7812949202007667,1.0974478407360588,0.9636693835210821,1.0133874112111645,1.0783631047036468,1.2715053541209878,1.2382366044981126,1.1904899135742477,1.4916400773114016,1.5060707625707348,1.1717492113450665,1.0250371625852237,0.8098950111231777,0.6680806702450851,1.0207147160917092,1.2100186604556915,1.4540515402198682,1.6793405130093548,1.198077553723166,0.9364431382347521,0.7847192115336895,0.6238752527283713,0.5227249873929251,0.469212560321054,0.5278392714134027,1.4192985640655043,0.5546968551968686,0.5992451570260656,0.6903134734136589,0.8348320292055461,0.6040990489650351,0.8064562996130952,1.3987394255244692,2.1838876732908616,2.6011348678480553,2.6209165950730235],[0.6526518298840103,0.49091108896411506,0.5253616875913399,0.33385279093320624,0.5821708765845708,0.3694933894635483,0.252174191171549,0.33466371625665214,0.3800086200426111,0.30204010253301156,0.3530064448182549,0.4382547979482398,0.3283698887061136,0.3204332248281252,0.4018500392043308,0.3638724976604588,0.3910351328342977,0.40747830021655546,0.4968162857918439,0.4615073546010871,0.5160460768850946,0.5605917582752821,0.6414862434410067,0.7907516530488876,0.7465754453451575,0.630694529967325,0.512739755794235,0.4180846323674422,0.37800484652872696,0.365904193137065,0.4356858703624303,0.40032978312906436,0.4982729145136364,0.45418660744726036,0.4052703816689152,0.37707928832672966,0.3802008632870841,0.3863551628253881,0.39594312745911286,0.4123782109187145,0.5630951033527476,0.49708837455593535,0.5093048240269318,0.6661550162284054,0.8717864767109881,1.3522284811480472,1.4949934144574377,0.7730240310660068,1.1900870051705106,1.5967625260032299,0.9195332332772657,1.141800801319522,0.8433088463683363,0.7652754866669971,1.1719061678314262,0.6118331459618825,0.572758484065905,0.6473945525181367,0.7042841355577075,0.82957426816387,0.6094517871468447,0.5880105090274337,0.5278977422975637,0.6422197698622966,0.5455512752128333,0.49847283993575625,0.6955415871696264,0.4805001899945123,0.6387991695167904,0.6462227051672982,0.7576730939148769,0.9989068753396904,0.8732179339969292,0.8074906294637963,0.5394270362996163,0.9303570099487917,0.4341491525667976,0.4537973369935381,0.3893817524469224,0.47519039740870095,0.4161034426807981,0.6947484296586435,0.694515400812217,0.48119523761668875,0.6046390021116311,0.43498674698936435,0.411009319903707,0.48437617772533537,0.3710208121717645,0.4618429692848053,0.45464822909541697,0.7332985094340034,0.606345173869876,0.5162968548002342,0.4805475434229052,0.6043659074317699,0.5993472789109562,0.48660947005723454,0.4871654292460803,0.7438794609346716,0.47052962493260386,0.6543755271256809,0.4394770854088772,0.4857545289936798,0.5320197846778613,0.5046768165685719,0.653551767363865,0.6937551078029431,0.720382630851175,0.7084084902583128,0.5052487526007812,0.3788331909032825,0.2911813403985518,0.3503034330171516,0.2957346082858887,0.3665334136832614,0.45797211035561813,0.4078062724361854,0.6274967751841442,0.4852272731108374,0.4578196461345191,0.4074747481043593,0.38016096764132773,0.32532609484140945,0.3299079275644201,0.4366238467069566,0.4273109687936806,0.436683063142049,0.46475378253633937,0.439638197756679,0.6154604039840819,0.639846319395991,0.5783380626865352,0.506825465159278,0.5494185804878788,0.5171784943815906,0.6893822488135123,0.5079706700346742,0.36599494597397525,0.3599936152208997,0.5324967915282627,0.54860025722807,0.4889905225333221,0.4423012239298203,0.48787517989728457,0.3634214142831015,0.3311338651737734,0.34735606143218306,0.30745627393436514,0.3887708954087374,0.47411240774099,0.6155342034801847,1.0179242289397332,1.6608437461892869,1.2427939351363497,0.6370591469454377,0.4573121424071564,0.473896218656023,0.38617909131953027,0.4228644928222726,0.35756715810464984,0.3504332304701891,0.37973997032151163,0.39930216983013983,0.43187620890862694,0.5843233772253412,0.59647932043102,0.7686796620983428,0.8677005542996753,0.78100441811535,0.6171244680764131,0.45988116821677266,0.455395815875889,0.36579314757813847,0.327682023293369,0.36105690110107985,0.39656207514021596,0.5365292688006454,0.36591712266656556,0.38121950837852275,0.6031076802751019,0.36715514299564095,0.4448567034796785,0.5250169778199306,0.5147412534328112,0.6175643324480378,0.7326842939750754,0.8192464212057201,1.810984012178217,0.9618494323719037,1.238640567583487,0.7328337607691381,0.7486985003271229,0.7677698482250095,0.6711776220184622,0.7891465995484503,0.8083978884430707,0.7163226569239967,0.7341940182095416,0.8503707236684213,0.5688900524585453,0.5033311044449722,0.568560984788969,0.5624176477812525,0.49939340551598416,0.519232723905051,0.674213638733267,0.5712509056364341,0.7038508676595685,0.6452946109288616,0.6540130777392801,0.8025568835877094,0.9488396323885581,0.8445033969699076,0.9078833338270477,0.7926556012686934,1.047906156814935,0.8768978062293247,0.7201349612486959,0.7696897794378715,0.7339681861539648,1.5999769225792424,0.9112491985454199,1.4338057924251177,0.7047690385580313,0.615145586440604,0.6478278991747389,0.6363388851047861,0.6126331077447466,0.6104251940827105,0.7416956881357956,0.8051306272602529,0.9260659911239699,0.8370122752111085,1.0845845510991923,1.2221408519087507,1.2411792458458115,1.6996715025403162,1.0098166973863343,0.7156644647998884,0.6253315975679513,0.6850884441903785,0.8537928579939189,0.9217337953300383,0.8996786642556761,0.7765974030801495,0.8153415868144855,0.9856387107653385,0.9087308876295871,0.7526638512163873,1.0767265128013734,1.2626397576382271,0.9449425859826526,0.9845720004403882,1.314031249135935,1.3632796210784515,1.011491700479864,1.026334732151253,0.8454476460624927,0.7834349545678808,0.6937381291724716,0.6329006655995224,0.6871877008312042,0.5938277846222666,0.5601690236656033,0.6183917451651616,0.6851394448868207,0.6518741384539494,0.7183034225876782,1.0525916322609548,0.9278489366458708,0.9632563031919467,1.016613391231153,1.215121625958696,1.1989061383749746,1.1949886002885868,1.4282205007359308,1.496822738616958,1.2234786081704827,1.0976468372949038,0.8361314939433518,0.6931339051760872,1.1656040625284765,1.3269373720365623,1.5267796972206853,1.6902495124001835,1.161100433656282,0.9252517919476049,0.7235097477370727,0.597326633510068,0.5320161854723066,0.49199573643101135,0.5674971026309394,1.4576126785408157,0.5815042552401711,0.6411738504353599,0.7537480825515236,0.8572070477468559,0.6306621070175559,0.8471820085323362,1.3653507526476587,2.0792390109975205,2.4856003500834034,2.269234295160911],[0.870927323314141,0.5426944702815022,0.5270865353825308,0.37114897415984077,0.5884060366656642,0.3884844831989246,0.2637167697841635,0.3533996053625377,0.34774356569507364,0.29956976942018293,0.3582979272446075,0.43768145438460687,0.3375124494194829,0.3275352507773824,0.4421904611674396,0.39939773209795376,0.4047390503842561,0.4365002603248795,0.5468136583651703,0.47146845209800853,0.5493236927931284,0.5789429212137573,0.6105305614494698,0.7467426286615516,0.6704620638603283,0.6063378135529331,0.4705053678586914,0.4093052146128723,0.3828055465743122,0.3760143977345862,0.493030492318971,0.45271729057995924,0.5775770668436635,0.5197149702992211,0.445082312756832,0.378586920548902,0.3982896744744179,0.38172842468233226,0.38170730640246525,0.3850468395684809,0.5362765459838588,0.497531749911203,0.4806667477830543,0.6196234439980928,0.8135899552900382,1.2793991419839332,1.3912749854739521,0.7162767715983784,1.1928336659383048,1.5233194749892882,0.8347582454360054,1.0190965867713908,0.7657528107510349,0.6628886693622326,1.114261098972583,0.5910102428217501,0.5120138154658784,0.6472846968671807,0.7508788515479071,0.7658278240634653,0.5731888554854765,0.6019625793136872,0.5852818050839715,0.6923542446116822,0.5825490007222138,0.5231422875829448,0.729927620869874,0.559132902560343,0.7230824392271633,0.7048433546668533,0.8311465453580142,1.091532360766367,0.9617031186677321,0.9046768896996041,0.6333046613035588,1.022497256845436,0.5251574174853659,0.5463059719567283,0.4485763979597051,0.5011931843526788,0.4296920889001758,0.5902233040731504,0.7755016122621848,0.42236302489098226,0.5289178902033286,0.39312603854685046,0.39443211015945134,0.5020855692365352,0.3905907461566198,0.5074996720010158,0.5311942664935874,0.8217019657994804,0.6822873863387305,0.6039099441395835,0.5474951231398887,0.6703420560519013,0.6507481872183878,0.5526698609862104,0.5456201414495351,0.8161811596266174,0.5340129605320635,0.699855768618021,0.4860052712659085,0.51538319492653,0.4983600164597674,0.46470188595427653,0.6020305303773906,0.5876074869393982,0.631262153128924,0.6840530339880918,0.4522655453678923,0.33034640934078713,0.2768914818455815,0.3390893691988359,0.32061957553437104,0.35320838031177565,0.45495160712162963,0.3965957116689563,0.6323477527925847,0.5215196082866971,0.48322043065803977,0.4280959924669257,0.4022412021924822,0.3359596814893522,0.3291022455488326,0.4225887613574581,0.43100008215763824,0.4140362134249657,0.4029529445409426,0.38529749268994234,0.5145952938749182,0.5529733752608196,0.4789800663214905,0.44748466961778555,0.47255370705865263,0.45698130279966986,0.6226607583395395,0.442360392746678,0.378374302492551,0.3557955523588351,0.5375424206200837,0.5629068315357988,0.5054547724442147,0.4376185331635013,0.4232344105464211,0.36062217344311315,0.32347569035289836,0.35227362152009484,0.306882045486855,0.40326000159443354,0.5051013523164469,0.6539884068252286,1.143107668595748,1.7508580704474708,1.2583354723684659,0.7054790043827938,0.5138983919879493,0.524364765772164,0.40368751238526734,0.466212131912341,0.3365868360429597,0.3453818916118918,0.36455573649433726,0.37034727534380685,0.4217802528003001,0.5552107372965128,0.5171324297010085,0.6818252413156481,0.7746416597463406,0.7080248920622113,0.5388298618804666,0.4074916722892093,0.3968589547615414,0.3346669977292707,0.3209610423649184,0.3704546711962518,0.4073345484549695,0.5909963881077542,0.3708597933527167,0.40325789936747697,0.6238384873188945,0.34209554960516075,0.3716846249665208,0.4264283992894373,0.4193651701387147,0.5753144990915653,0.7203080512206791,0.7890402148890892,1.7985440531123653,0.9106057907988687,1.1515745505202255,0.6682439567941038,0.6568626650542418,0.6848432201287181,0.5632787559393251,0.645515521323312,0.6820209545380411,0.6066393575262141,0.6284188909677348,0.7325856184945451,0.5056262110189307,0.494098109561604,0.5068638026967783,0.5357091460278545,0.5180177900453286,0.5373874621571382,0.7007480410957703,0.5997120628263934,0.7499932432281193,0.6357947243793134,0.6628308291309823,0.7788076761799677,0.8744977776633666,0.7927788161453159,0.8556213927124332,0.8290803043797567,1.013972042577405,0.9253039721318616,0.7463586206648329,0.7944750042028927,0.7578429955106661,1.7616544724027754,0.9586894828704858,1.500649215480947,0.7437561480479816,0.7035643749142839,0.7171000980638799,0.685860304322769,0.649107560023276,0.6284275323761783,0.7347365667625946,0.7228775454873254,0.8544689595999315,0.725428665246615,0.9531979493052417,1.0597474034409406,1.1353891199451849,1.5457461026121666,0.9176531530268213,0.6329051206325559,0.6164090997284576,0.7632200981571176,0.9794362164296245,1.0605834500680336,1.0378836229983674,0.9046967663482559,0.9523742716282648,1.1742465665697193,1.0496835299414105,0.8612744713472573,1.21295961048092,1.3789874800808455,1.0091478842087183,1.0798694355369338,1.4170360522970649,1.3813866487242759,1.031722041453457,1.0800606818323415,0.8992200318226921,0.871406903167831,0.8035599868721851,0.7381963475891075,0.7540169279103396,0.6416621831139991,0.6044001795577886,0.6352115999918655,0.6939176661601778,0.6312601343977687,0.6753306575503477,1.0119911880710863,0.9015809338628602,0.8904994114191783,0.954622752090057,1.1677691856128916,1.1594390270504655,1.1885646941041441,1.4002750841106548,1.4927467010347524,1.2901276181397285,1.1749615263539892,0.888437597790004,0.7778348843021943,1.2923190454452018,1.3657815206198984,1.5253392221461166,1.6327008180966558,1.0935826952752128,0.880120328198271,0.6286458421615803,0.5571724181216411,0.5242011974530069,0.48291736825928966,0.5905521957350479,1.5125532580915146,0.5375906418530018,0.6258758972533188,0.7985481680917473,0.8297812549939367,0.630408710667985,0.8283859736202075,1.4888736805058482,2.365226298459406,3.1181702825824775,2.650708392198588],[0.8231481537637851,0.5039876482030944,0.5320891979952241,0.32131705174903186,0.6230909847012315,0.4044059500311166,0.32039540702737296,0.38526820545761464,0.3780012463951859,0.3206989861447177,0.381445989804699,0.45871003025195844,0.3614193331453377,0.3306761390959782,0.45023931385097427,0.3891129852261362,0.42205636933265267,0.4393737437712868,0.5105646076339716,0.48927163393239576,0.5466315411425019,0.6086971034543279,0.592763526236157,0.7253505940957088,0.6846149174356986,0.5860916832894298,0.4883235079649366,0.42840267859635583,0.4167409343245342,0.40110990217119435,0.44938101535690167,0.424465083038586,0.5310574526711861,0.47146669971055594,0.4222087561309966,0.3948367306606967,0.4106841425336217,0.4262927213190958,0.40773869489771153,0.4306929970203296,0.5648388931903318,0.5298802035142663,0.500635276711011,0.674671421489629,0.8808321461829652,1.3713430346278281,1.4247205364337825,0.7581069127011323,1.2405808787080437,1.5325762531101668,0.8004205043493315,0.965633718334413,0.8029712940121714,0.6633662317508126,1.1496143132065113,0.63066675362517,0.544959447771183,0.6525011686593347,0.7739314527281341,0.769463283531193,0.5934014800108719,0.6162416445730271,0.5697087390074409,0.6562307965177977,0.5670453251704755,0.5206993790376391,0.7169500620381573,0.5455974438096137,0.6866168735826557,0.7094432159256074,0.8249376534724009,1.0787836728531097,0.9795293179276465,0.8547913484413096,0.6179635102701538,0.9339179466041259,0.5040647996222379,0.4886621919132935,0.42439880311871964,0.5155377181516742,0.42882046594681833,0.6535723567079459,0.741159501130093,0.48130544407194564,0.5297478167819533,0.4357061988332524,0.42573011146406126,0.5188334168482345,0.39872908319881056,0.4732384978165516,0.48739639155817605,0.732651417604475,0.6127194912396383,0.5238040363345418,0.48648413974129384,0.5987362163172234,0.586100870777931,0.5140591442625941,0.5314212167369695,0.78520895693338,0.5284831847933447,0.7007875830191647,0.5037126916674788,0.5351568503881466,0.5200076045499269,0.499024691285544,0.6763541890707836,0.6258074829475914,0.6631317422676801,0.701501285339986,0.5186093625035422,0.39564980091108465,0.3358577961339478,0.4052846882859904,0.3459438294289408,0.3930966949908814,0.4891199200226524,0.39977212317287153,0.5544500122096315,0.4928313712170018,0.45328010602594176,0.4223188099482965,0.4298996904254671,0.37493268873909374,0.3742896448995477,0.49642032163412564,0.48072865025617784,0.4428816527114324,0.4475496541700926,0.4266284117731306,0.5411349823028817,0.6025212128969175,0.5269306386040882,0.48991923583789104,0.5142631463727327,0.4975495914525293,0.6272977223308956,0.4641035050531774,0.4520349000010282,0.40798785834625134,0.5659779071862059,0.5333182096014719,0.47595970482837496,0.42319359639163184,0.45825730871025705,0.40523151165336535,0.3714324234043642,0.4160430263192496,0.3469115968185558,0.41037834568469,0.5090825744665944,0.5883006359133776,1.0825535337422734,1.6015415733529472,1.1367957153056991,0.6517438807258463,0.4928211230723513,0.5188736656834866,0.4057265845746405,0.49780864430336297,0.38291637997581496,0.3871302938136784,0.38782793937663557,0.39096791537786824,0.4439885934558041,0.580014998914099,0.5428868548500844,0.7206393165502035,0.8196316565348121,0.7455583747066145,0.5528630307786991,0.4334927418591428,0.44127918879115935,0.39161289088578155,0.3667424427207429,0.40089232644277595,0.43155788324408845,0.6280426611517983,0.4037230391519624,0.47221656854460625,0.6640565858761095,0.3893929842958487,0.42997953144021034,0.500091495376402,0.4896946409353517,0.630375738895503,0.7421313657419912,0.8001014633944439,1.7783457361230917,0.8582104167554419,1.073518588878793,0.6866387410487698,0.6714019798739685,0.6984492357290649,0.5906398047779438,0.6473757267419588,0.6721875707100244,0.6004823464961077,0.6268653072369751,0.7405288655576643,0.518265718628273,0.5161864558888476,0.5346288751704854,0.5349073058993126,0.5194883919919296,0.5416438309924424,0.7059150163059191,0.575740673087811,0.7517991012459218,0.6094545134565414,0.6349771122008534,0.7618501962165973,0.8834162844546841,0.7534645137775116,0.8135309733285623,0.8052399211903962,0.9881304540058394,0.9125840677932632,0.7229498217447691,0.7736577983617826,0.7414502214304128,1.755743541679143,0.940460775222193,1.4915506151188034,0.7427636052989459,0.7154652282413795,0.7299931202327812,0.692075528882457,0.6684061368174697,0.6364230114684656,0.7495428100915861,0.7181273585682458,0.8543479756787401,0.744054540305144,0.9429520954234716,1.040787728535404,1.1325578570342472,1.5226134467457033,0.9615028149551142,0.6460217253122694,0.6047166721195811,0.7584361345044515,0.9615032380581031,1.08551360463164,1.0248648857897205,0.901023778532155,0.9633691913272647,1.1697717660058697,1.0620688972309715,0.8792561878740315,1.2370130452956352,1.4112997980204212,1.0413101234892066,1.1127828798611432,1.457293556844807,1.4499108583222733,1.0642731037014381,1.1117268195209504,0.916382517491129,0.8937996236338116,0.8173704167162148,0.74696014704912,0.7556105674445134,0.6299472572583693,0.595811145149799,0.6232582969189367,0.6761001920810392,0.6111980726997466,0.6549053088120348,0.9918432433012366,0.8958500979265849,0.8847215302565691,0.9312673957212678,1.1724923508003935,1.1658947324066193,1.2145983578393036,1.3770586779222778,1.4928669678176756,1.3042496285325482,1.2395523500681769,0.9287678063995078,0.8445551402630146,1.440863154713306,1.4564966585038146,1.5661039042176268,1.637835972900387,1.1040052096403243,0.9070369030696835,0.6495748206571007,0.582453045085122,0.5935404124461139,0.5226703622326457,0.6144378546726793,1.4281500234666673,0.5731653437153732,0.6277652143408865,0.807905436620342,0.8139501423914451,0.6091470442060863,0.8229215883278754,1.375048126055241,2.1130700232595356,2.7551248674622895,2.2937394337378763],[0.7530500644929176,0.5286624028440282,0.5771176032452195,0.3538603921467925,0.6214556644853128,0.4018477006463997,0.3059073167368256,0.400635055700009,0.3590992073226331,0.2895879167220588,0.3399701366569199,0.4247571586213247,0.32889176248873914,0.2849412992026855,0.3972151571177957,0.3583890927490731,0.3732676961760185,0.40181617683372634,0.5013789589218962,0.4591235612438907,0.5162936108540369,0.5568520759853325,0.5878419375359579,0.7300386749437111,0.680870664608716,0.5917197644381632,0.47302462968158415,0.4038724238442977,0.36324243690736574,0.37296155495868455,0.4366209372450124,0.42355970532511494,0.5358975380424147,0.4761774016888792,0.40306755408597356,0.36047789301912486,0.3961329742421468,0.39489354810315225,0.37360764380402717,0.40310899865745387,0.5426448469584542,0.49687562421133413,0.47730836604756477,0.6446208408038497,0.8392427838401928,1.3342207081667918,1.4262448478411338,0.7316659503728563,1.2218568138424377,1.551233481260649,0.8340209288924356,0.9974597553436979,0.8063390740473141,0.6751787954975493,1.1563227039922344,0.6157728628956557,0.5224468642508302,0.642482894409307,0.7654783211724612,0.7562700929717269,0.5621086031021232,0.5704981266858569,0.5427458516513443,0.6451687079607574,0.5464746973579008,0.48817405746656956,0.6988747050490975,0.5216432939304634,0.6931876116524665,0.6750634604033416,0.8027766363464461,1.0682187140870714,0.944090521017416,0.8516644451689098,0.5867125514596274,0.9580400422317606,0.47352682123849327,0.4984092075135355,0.40824140447896645,0.4810329685834453,0.4224093716183831,0.652795460185605,0.7251545307779858,0.4603111261295773,0.5419753680423747,0.43016064922859754,0.41270770763724113,0.5039742906790601,0.36158284753140213,0.47514737203130686,0.47210310621729273,0.7297214937163412,0.6069572849333851,0.535643927429415,0.4838862989349833,0.6138737042631676,0.5882179535028133,0.5072387864054076,0.5213295780540692,0.8084545684209598,0.5307192704011358,0.714672838056018,0.5075219455720177,0.5436991937877056,0.5344675687471127,0.5026123000793705,0.6936725795212664,0.6452844116073142,0.6852575439782378,0.7139097647301099,0.5422381090544706,0.4085072202822052,0.3286512503560426,0.37863226851832443,0.3109646621699983,0.3592514417482275,0.46081448938503944,0.3673851936477384,0.5699129643110585,0.4671406158844605,0.42708737358401033,0.38281659942710444,0.3858882448352498,0.3399903688686849,0.3422856832959279,0.47561936874269384,0.4858438420628818,0.4589422209743291,0.4695335901682724,0.44617031703806187,0.560981252376935,0.6220035171644437,0.5440914227760125,0.5004161186798389,0.5204372699893051,0.49802570644755445,0.6565743032911184,0.4549498915055127,0.3896312965838537,0.3579256031260964,0.5168788420040147,0.5125080753337622,0.46812770864710834,0.4117193287414196,0.4360246378087778,0.3672828901509642,0.3331815177165332,0.3773294605295473,0.3385390534517619,0.41794177234697527,0.5291695921425992,0.6162635902669603,1.13442832029395,1.650171698986865,1.162780709654933,0.6831052175270411,0.5016593112063621,0.5453908688759864,0.4139933349959957,0.5041494060980827,0.38369050457000514,0.3622796956670717,0.37498678572495325,0.38887131550356,0.43289946028810333,0.5769354460690423,0.5468337433909789,0.7218111260319753,0.8244519614706336,0.7416946839208644,0.5626976979958105,0.42460339174627376,0.43938583141717624,0.38892111990687683,0.3662614815813578,0.40829857522344976,0.4410614163785103,0.6173370094833812,0.4100981093542119,0.4710466033841772,0.6564902679273921,0.403933580311663,0.4415536850490369,0.5074011207849772,0.5048558737746506,0.647354358438705,0.7614796884068161,0.8068414085687682,1.8009881867401907,0.8898035206216238,1.115158004009606,0.6950165438924324,0.6959080910153747,0.7280274314662322,0.6200820024361112,0.6812382282855918,0.7001718670126894,0.6247602116279659,0.6570980358379116,0.7486558313561154,0.5487052725791842,0.5557627897678485,0.5612322834468694,0.5641461952679411,0.554758977699425,0.5825641824173591,0.7290685044036178,0.6017282882399755,0.7959666319017351,0.6334725089736704,0.6586129209364561,0.8031529639627971,0.9119574858486735,0.7606593135245105,0.8521192057776825,0.8430873707168393,1.0579235251248795,0.9816415422529882,0.7689176002509754,0.83129431985802,0.815120387484284,1.7464744601564068,1.0123051075879792,1.51704554094353,0.792257273495615,0.7773022681423254,0.777214746883814,0.7252464677463898,0.7118731007039503,0.6641503060031366,0.7667699644765292,0.7399382271036399,0.8779721318372063,0.7745600611152502,0.9756937510984671,1.0914865073708189,1.1885628915116235,1.5702009333823508,1.0064061768179526,0.6590311667589511,0.6158704412563033,0.7885905325919674,1.0068484615426776,1.1590340353564867,1.0997392564577173,0.9616736223815562,1.0365455485664572,1.2570337305477675,1.1312361223804444,0.9412494007476799,1.3280105023630773,1.4976982140177855,1.0967212810190872,1.1990563122465578,1.5654631441079874,1.533529261062182,1.1356591121494628,1.2052682850657193,0.989205450989701,0.9715229841093714,0.8794774123909248,0.804879136163345,0.82065706039643,0.6754345650669122,0.6402677486663964,0.6751169225990854,0.7226704253690668,0.6461381109892209,0.7014288891931706,1.0498079701241498,0.9480837904553376,0.9494235444901677,1.0045840865356874,1.2561166547240397,1.2482248250285661,1.2927310209401839,1.4883379632952172,1.5937494238792058,1.4185331621617734,1.321519445689247,0.971062705031897,0.8699237485325596,1.5020265552892658,1.526125354624436,1.6538070273061318,1.701521686977101,1.1462582408727384,0.9212133497920953,0.671261640693548,0.6041241394854554,0.6263192053895501,0.5621056278570431,0.6554922938633638,1.445741498689008,0.6020681788596414,0.6632535389556106,0.866642158608988,0.8276029638382063,0.6485349235966442,0.8419890800917003,1.4219322179483551,2.222553659611227,3.103386849882778,2.598707535695965],[0.5484988070119473,0.5594223204452401,0.7111678853284167,0.3835330850579594,0.7153780555315405,0.47389752836815197,0.38538972154891665,0.4846107832432011,0.4524902320376404,0.3904431128266599,0.4677384502532038,0.5544786117907889,0.4353891384822241,0.4156392705291887,0.5215437105622646,0.4731090092215753,0.4699651354721152,0.47526741951417506,0.5265681837969722,0.5071593117895038,0.546042031204655,0.6034809644450755,0.6179173670198,0.7469047694423886,0.7312757428920708,0.594556382365204,0.513181720141143,0.45228093883034565,0.4647967166236474,0.4689229800661881,0.519138562932764,0.5325514043641125,0.6464965037515249,0.5872125050147555,0.5165856278295691,0.46192945233412513,0.4964877886604719,0.45859989205853907,0.45862067801563705,0.48601136830189035,0.5887946419490779,0.5400731207100621,0.5290377407252902,0.6797763586172713,0.9010197327311893,1.389956541570508,1.4804274188040272,0.7862883102204573,1.240152774102078,1.5955331257182515,0.8652209941423656,1.0365670043419066,0.8542167341482179,0.7341821898531419,1.2230513358366357,0.6679554054718925,0.5881091230122207,0.6847921322713689,0.8072325074843837,0.8213557830628747,0.6266186703187138,0.6419741896651445,0.5911168286173603,0.6682368953746972,0.5819741760594849,0.5330353818723506,0.7192000130719188,0.558373609778447,0.7146717986142804,0.7231502586742878,0.8384601271982153,1.0876501491081616,0.9623445568651854,0.8755698765394401,0.6373435711677335,0.9649681271169159,0.5331475872450899,0.5401784745690084,0.4891143076190612,0.5797838924708729,0.5203235309400164,0.7570523586837783,0.6927444150107841,0.5690798368020855,0.6027723238447025,0.5198843569366269,0.4867280367748922,0.5879748609328581,0.46308067190294655,0.5516716475018347,0.5477964455860963,0.7802341595671975,0.6801415128726404,0.6339514728636778,0.5886125321070658,0.703281845750062,0.673201542491606,0.6268676690281536,0.6330589724278801,0.8731330394297341,0.6186977634457356,0.7815446600452408,0.6092886131494298,0.6146725918299212,0.6263323303715567,0.6018559120819853,0.7970349437505422,0.7909942527143864,0.8195972544649286,0.8024998585629795,0.6755829703029775,0.5135047261291809,0.42196911331689124,0.47213565516355355,0.3886020620600243,0.4296485454927736,0.5036091362592987,0.4152591605288524,0.5817555344767626,0.5216813648155036,0.48510918634186007,0.45195285888427844,0.4444938339301592,0.41122515220482486,0.41641087375721836,0.5716536187641005,0.5722224539688545,0.5606588007685144,0.5974126572731172,0.5574457628675005,0.7138778580382723,0.7835379834999899,0.7121940734914235,0.632591690713016,0.6591261221751599,0.6075116012940662,0.7427531845058294,0.5342353108707063,0.46418620347214234,0.43095293997733103,0.5428627252392743,0.5366984285515225,0.5086280807865434,0.45076525865699885,0.5089425396798569,0.4415387894083093,0.42247485773822485,0.46406435881904706,0.42564204886084794,0.46814160785153885,0.594331996819024,0.6387404906574372,1.1006150794584437,1.5248000171242946,1.118995533623591,0.7166313636976988,0.5819013755910011,0.5975187151910455,0.49418149046762694,0.5425603531065281,0.46200935115745934,0.4463943325241145,0.4451999187164832,0.461480154422247,0.5240594553470075,0.6458846197077461,0.6694763208548903,0.8513013993374036,0.9630958089679589,0.8537492133376119,0.6725576817109968,0.5023848379287331,0.5252040278607281,0.46694411477271547,0.4481840918393164,0.4765756374918933,0.515906770913452,0.6576025178188745,0.4851022808653134,0.548778942327241,0.6684262943909857,0.4950768500397782,0.5751868774210214,0.6798280567147532,0.6609588231643794,0.7265316355350105,0.7948294465114657,0.8409245646215474,1.77043741859538,0.908301974917433,1.1290625428600796,0.7863594654798849,0.8119297486198699,0.8481711152337936,0.7712960596778442,0.8483053495820003,0.8465431294082364,0.7983716146663491,0.8347169764044613,0.9022871903604308,0.727695507219189,0.6803001483559994,0.7256762781376114,0.7422036839943306,0.694682310504175,0.7018564041538298,0.8640882549074371,0.7673564627634307,0.8655230924681246,0.7464969320098012,0.79891247285312,0.8977159798495691,1.0060720219506223,0.8511022073562878,0.9578784691308347,0.9963707954969575,1.122987153802429,1.1689084116278416,0.9400142166694548,0.9508034937043582,0.9491129673614617,1.6823380291121972,1.1257775372932315,1.5961574545976602,0.9207677443797682,0.8843356028472465,0.8619598349959958,0.8387125495170525,0.8717386263942971,0.822083964927457,0.8814916850927309,0.921367101534092,1.0664844875974593,0.9629471672688068,1.1010290209363152,1.2845063704827715,1.3625178125275625,1.674698710435099,1.172597216922628,0.8289303914785846,0.7366872422304224,0.8405896199487585,0.993221963776559,1.179638945359176,1.0557182023132907,0.9613184875124119,1.0380474079107465,1.226860372015025,1.1237109542696686,0.9746706513649396,1.3227499973868024,1.4903330253106675,1.1351905483433853,1.2265496804107432,1.575889010996137,1.6020972505012863,1.1989428842419174,1.2548289634212748,1.0483915336973777,1.0252831743359963,0.924198212666322,0.8661216966432393,0.9179152480298864,0.7855967128841385,0.7576253622319713,0.8415086707858292,0.8872997085971728,0.8347993772009695,0.9068889916321398,1.2532183969202084,1.1591937613570138,1.1660313816561032,1.2136176792449263,1.4840435615917533,1.4732454116015363,1.5219081444229177,1.7215558511901683,1.8173421634473286,1.643410281574087,1.566898515229915,1.1787741750083023,1.06222306026646,1.770999443078804,1.7564844429839404,1.8656017369929343,1.8601795620964443,1.3151090093581712,1.0663853605725342,0.8343343560243263,0.7260597247249337,0.7955691658160506,0.6896499337503134,0.7498706919666401,1.3724074691141812,0.73407523542582,0.7556227686584459,0.961137481014932,0.8878000432492227,0.7585818972018735,0.9306182723405825,1.5183089775686678,2.1199122732588083,2.9814465741602527,3.127028894664691],[0.4121094261140803,0.4871078734796966,0.7504683865486493,0.4831428598607846,0.6483252460436849,0.5659654252784694,0.5243047841990703,0.6029609142196498,0.5613169707949123,0.5225483512080972,0.5594373469995382,0.6534527186047816,0.5631387261849709,0.5052444830797937,0.6036959292768919,0.6013698528497843,0.5556064717867029,0.5612187663614253,0.5586473309238607,0.5635797441667121,0.5673839298805274,0.667194819788374,0.6202853498142029,0.7072232114603062,0.7058879904434274,0.5760835782563297,0.5490809622266952,0.5216134018795474,0.5743302566338602,0.624490401849326,0.6168491752074039,0.6581417695996807,0.7374807474063954,0.678715919882447,0.6630156795335141,0.6193679469025155,0.6336762716675024,0.5949307147975069,0.5528538061070044,0.5804856552862115,0.6614347123926616,0.6367729620334514,0.6078149686675383,0.7798827528812384,0.9870745019548582,1.480817734847729,1.5197201914664116,0.8718144808667894,1.3204016031969534,1.596118151908586,0.8448503402564334,0.9566564646513663,0.9056728181927727,0.7604947074215326,1.2691427830472968,0.7573917547430066,0.6621158151833515,0.788696085678447,0.9229981952385763,0.8232490177892791,0.6673677434543317,0.7391688291083981,0.6964779494658191,0.6857523650795577,0.6061661197441116,0.6066563119928281,0.7143873765692756,0.6078394755587114,0.6962020556720874,0.744678856644527,0.8313970514655167,1.089412108274048,0.980882026522085,0.8338281203502868,0.6741214391596141,0.8917142438172572,0.6260951943942539,0.6374486012716976,0.6326529065821703,0.7290912882124632,0.6925171736881005,0.884460880952119,0.8371578656315872,0.723876024915476,0.663367123716628,0.650216395546836,0.6180037917104558,0.711295764049129,0.6093600705646957,0.6743260278059399,0.6516680472109481,0.7887416030877926,0.7148836546777749,0.651441256007332,0.6400460905990073,0.7083457097801538,0.7012120340917356,0.7023613696303803,0.7326333434500657,0.9065184059480528,0.718255820343908,0.8482606333488975,0.7411730576189814,0.7375794623725306,0.7221726946816777,0.756532915600216,0.9096321355411531,0.8284285185816668,0.8508923784931901,0.8804209177365829,0.7659769337201072,0.6285196027125167,0.55860590775015,0.5770314299688653,0.5058231930630888,0.48988574740805274,0.5827749729818069,0.47646021719349996,0.5781145628901088,0.5604583501002605,0.4995192628232875,0.5098195734164623,0.4650816580150624,0.4617600671473424,0.48455556135779426,0.6242768045433984,0.6426359974944146,0.6052414325914932,0.6468674731535179,0.6430209969726828,0.6684287540684413,0.7666711978146695,0.6796388542502412,0.7038639419182318,0.6414910622728766,0.6379992200911446,0.7069792412577832,0.5903379133061517,0.6415190963503355,0.5476187501118576,0.6554488551133303,0.64317352277483,0.5292601202772783,0.49874285194645757,0.5604428368651618,0.5419572613693772,0.5114716047810082,0.5944788953853678,0.5644951804028181,0.5778690274442082,0.699554943462424,0.6878190678262565,1.052313160885564,1.486038250170934,1.123598393950744,0.7867600896834535,0.6873092680460371,0.6960617590406762,0.6556398512173858,0.6859383087663635,0.583846955381149,0.5830167981346098,0.5195394157907581,0.5370831077036926,0.5868677153016294,0.734951584603966,0.6415324471905676,0.8077739500780743,0.9029745674083226,0.8031254516610998,0.6317591579329033,0.5632315574145076,0.5703109188957708,0.5831857802690901,0.5934337434083039,0.6402405708256375,0.6639683835398132,0.873122906420758,0.6289130485094954,0.6958753106222773,0.7796283165550978,0.632952135526004,0.6608509005808129,0.7131410454366626,0.6642394135348926,0.7333454590453241,0.8113637845038997,0.8587537226617491,1.6990788983233862,0.8821728817342994,1.0373061947083126,0.7688017048114566,0.745837566935908,0.7704704352924798,0.6951275978871209,0.7367689858720141,0.7309031224540469,0.6851983677865989,0.7085868190569877,0.822116467563659,0.6935227588894192,0.7206007052134709,0.7281209821453315,0.6955500848196413,0.7102951985460646,0.7232148686843072,0.8012458872221294,0.7381055825272567,0.8947522538075828,0.7470993613995777,0.7847525310092917,0.9170243857572465,1.0152718650791557,0.8297151983348829,0.9483435396690767,0.9444277644734717,1.138581289925846,1.0660193801697195,0.8713913947796801,0.965049687894114,0.9558032267772015,1.7300765305798187,1.120247939401055,1.5758916865915975,0.9345345767829069,0.9022311297276849,0.8714070961956936,0.843691880040368,0.9054289693996884,0.8463230419795286,0.9245942278060783,0.8868555462046951,1.0063593093237992,0.9049567998330839,1.0258915321831312,1.065451928169049,1.1515930260947558,1.463985344100851,1.0503814357879997,0.7860992136809916,0.7279543708248766,0.8586414409813816,1.0011213527454552,1.2078332124743902,1.0517750900114606,0.9684531532206433,1.0410912497640614,1.1905603990717954,1.1149168147732584,0.9841490953199071,1.2733974335647342,1.4165099893818571,1.1190303599525842,1.2146441455818269,1.4986200715566262,1.5432525879273642,1.2046132372504437,1.2456106815152894,1.0584524908194308,1.044564185275831,0.9687344339862126,0.9127645640442387,0.9352988687311128,0.8275618745283628,0.8036914945953313,0.8483877718695391,0.869170266077512,0.7784964607248785,0.8272613804691816,1.112654073363593,0.9963774260848773,0.9743242590136194,1.0597491262335448,1.287846141087125,1.2427134723196949,1.2981412136168657,1.4097428343177314,1.4969657291275322,1.4658359459361894,1.368291256023062,1.071427444298557,1.0221110963230466,1.574603824069675,1.495456147862869,1.527343225648502,1.5193925339065057,1.1116033311679465,0.9055609148105845,0.7414603396700236,0.6960712966589517,0.7977354154777333,0.7496311094211469,0.7916913285404228,1.2655180283366168,0.8148760350535595,0.7858770755448685,1.0014009156578596,0.9265835783056685,0.7954302807894782,0.9740628679015677,1.6330507417725482,1.9879602079688863,2.9267345427951073,3.6219678169655807],[0.8995032836487826,0.9999199855351806,1.2399884418097589,0.7020834236030686,1.153589223338519,0.8339002065050907,0.7436472032561152,0.7822342976578135,0.6564134867598721,0.6088911632098184,0.5851661874849071,0.6732480129708396,0.6584142241138876,0.5444235899234177,0.5827359875289219,0.634081135142247,0.6191791105632694,0.6196858138793852,0.6194148791541094,0.703320633193259,0.7010533599251817,0.7774789113312243,0.8279128760502966,0.9476608103772921,0.9803902326545814,0.7829148262324096,0.7633409948830266,0.6978648796966882,0.6926860473284648,0.7460964725541901,0.6366231537477757,0.7260017729398677,0.7382037762516462,0.6837777208791318,0.7262188164987573,0.7186050152254696,0.789113010024379,0.7792367863189202,0.7859920794625715,0.8519369407903443,0.9113475348000495,0.7966595738237869,0.8172602739441297,0.9498773555564173,1.1460143230190771,1.6298780160579112,1.73138421045705,1.0564904686346874,1.4183921553503138,1.7368017483688587,1.151753547181473,1.3901897855189342,1.2398587218216264,1.1252841527211015,1.532100750047047,1.025883969196424,0.9100012699124432,0.9705471536428669,1.0678636713948182,1.1046364716961148,0.8616648630597161,0.8242832914079936,0.7673557702278297,0.7695944467620056,0.7198162254489919,0.7166613673548121,0.7795857555708583,0.6356485604500026,0.6983707752508534,0.7316717191537983,0.8213902061428456,1.05221588771862,0.9053625836604147,0.8127187574101481,0.6672540889927707,0.8996769851527571,0.676014629111216,0.6606029134015804,0.7140822716305388,0.8444443286447398,0.8811948342825859,1.165884478337366,1.0016876010769897,1.0534265593144467,0.9847809158291019,0.9271880943215377,0.8343213629716388,0.8785247216939582,0.7209863117906634,0.729549286372529,0.6660826986890119,0.7629523871887223,0.6737828989763917,0.590035796670568,0.5948509730302473,0.6344954715639546,0.6301640097156408,0.6727410115376296,0.7269858778115902,0.9140266736171796,0.7848129683197616,0.9639893004412117,0.9240399386095229,0.970504759369751,1.0914275341293618,1.116583319374352,1.3348347405728809,1.3689229335229762,1.3830168777555212,1.297832162117437,1.2293586530688583,1.0214920654912436,0.8241402925620721,0.8399396425555337,0.6684733387301707,0.6830865960835338,0.7446516049862476,0.5959845627756597,0.6817712945683181,0.6339951527676752,0.5653328510064687,0.5967620078213921,0.5956470367353714,0.6139205095186381,0.672897671960166,0.9166443631864394,1.0113256100551644,1.0310310086942054,1.122843371526595,1.0915615240153393,1.2472099503620475,1.3500365812147286,1.2315481200157623,1.1833897374279418,1.1254406036269287,1.0298763336621357,1.0430559968927882,0.8661622993585316,0.6459756833552254,0.6788833846504497,0.6348531182611328,0.6637795118272573,0.6200221266244499,0.6776123889834869,0.8507655434291373,0.758947511146237,0.742646939455622,0.804943572497321,0.826328788929441,0.7638053616832624,0.9151077169625679,0.7953279473296494,1.1319938170072552,1.5389742068335859,1.1524090985253186,0.8420627212848096,0.7763451880050284,0.8748641413196335,0.8462039496915392,0.9435799227566054,0.8988373401210789,0.832154424360123,0.7751880126314494,0.8264801219049248,0.872618052321261,0.8916747599175969,1.0350677548136697,1.16674418619174,1.2692043687626962,1.1330947920773662,1.0118313524115585,0.8683244233643861,0.9518592274288308,0.8940393969367514,0.9061666135520793,0.9500085603054379,0.9255218521472046,1.086869839617073,0.9342547564802509,1.0267146399457157,0.9042443752581367,1.0131464472126719,1.111227603446386,1.204302896304044,1.1315564729777055,1.1061316464030704,1.0788585913488373,1.1280802919569017,1.9594960342068142,1.209345771016051,1.4276533345186468,1.1652369938449856,1.2122953856656111,1.2607405544941972,1.2545651195841179,1.3505212229549621,1.3185757396553035,1.3293590873621537,1.379249024892591,1.4845946767199325,1.3320721645678646,1.2374632705644601,1.3224206983587903,1.3123424421590277,1.231146255243675,1.213676185246102,1.3617956817041001,1.27316673046711,1.201697659107478,1.198508463658485,1.2395254784068794,1.209064213472808,1.2569614515329226,1.2625739009033563,1.2343583258183366,1.322777190321973,1.3207097113986097,1.4524119056206832,1.338538429306089,1.2558766364342129,1.2961306177757783,1.7388289963026573,1.4058952120918604,1.7495167093539052,1.3207309555230196,1.276858950161723,1.2698672654286336,1.2571787031380377,1.3142876646405264,1.2613441628622992,1.2826282860879157,1.374398682966132,1.4768006415500483,1.4636541767078617,1.5762534372929051,1.7540603018059826,1.818132791721771,2.119163004839553,1.6952717389392233,1.415834383252395,1.246756247792014,1.1904380124341387,1.207779158531132,1.4011746870343438,1.2385415276196186,1.205416538734472,1.2348763431479004,1.3005260683163722,1.2948017320009442,1.2353382957794419,1.3392938058005468,1.442386527072155,1.2703284820113137,1.3031396249745955,1.5118564560303314,1.5757254771155818,1.3348001453511869,1.3376667293030247,1.2544634900764475,1.2397054332603503,1.2029976867117158,1.1888137638602019,1.222520033740443,1.2015921764385658,1.2213200296524214,1.2854450821079146,1.3176227058429217,1.3367433542569935,1.3846251180523819,1.6618548534746627,1.5752622651868042,1.628059499790404,1.6264466631321155,1.8113441215390846,1.8062073281159974,1.8501288203100723,1.960624716312901,2.0251896982393385,1.856235559899579,1.8581278102149597,1.5753598088194467,1.4880808816825746,2.1157751857482174,2.1007640655507402,2.1527257175707626,2.1731768314648474,1.7659631945484182,1.5419639657039392,1.3854415050093878,1.221580288093743,1.348068414616274,1.21898261748944,1.183762572013759,1.417035716030673,1.2564380051098911,1.1394787328889553,1.2124500192373535,1.2033948150515228,1.1678631755358302,1.2077648334095794,1.7619032656589346,2.0067396326518345,3.0103003805588244,4.202811905051561],[1.308505995300759,1.3851301915468281,1.6840932897975074,1.0031923093119028,1.4857370825495755,1.1541848345475008,1.0698611230207042,1.1373569860295112,0.918631018266271,0.8645797533113028,0.7942658676415079,0.912650115079915,0.9580221708053392,0.7640892803195919,0.8105421506868795,0.9209347863643288,0.8749563334172075,0.8724806555070391,0.8369553174037037,0.9926451333041538,0.9605819998493427,1.0601375315933539,1.0813384892043576,1.1706117058806182,1.2235964609055547,1.011283670431203,1.0558451451314292,0.9936820180510948,0.9986966103358614,1.0858937234423343,0.9052822176544348,1.0734230956221578,1.0426626724218413,1.0033387592249778,1.0806041527585497,1.0563186280083348,1.1739811444453019,1.1455415122360861,1.144536588743883,1.2473579146328204,1.2662711146779286,1.115630973674917,1.1553040236417143,1.260183985744094,1.4168044215294717,1.8789951948395036,1.9716885546549037,1.3663620659614006,1.6970674623097204,1.9274989858732163,1.4631615157639681,1.6746833863555843,1.5955412812649197,1.4628555067885183,1.840534690209615,1.4039614640950513,1.2578965578409789,1.3165880021125527,1.4203323226927485,1.4059599657621304,1.1790250183280633,1.1418115186818756,1.0796414484691275,1.036039265751651,1.0017852801660212,1.0277331203668363,0.9759265907557692,0.8839828874139463,0.8431154273948195,0.8570396863549201,0.8927625211354308,1.0627797711971276,0.979628573539536,0.9029315534136587,0.8581607805528486,1.0061134046728957,0.9754246358186862,0.9842848070670079,1.0760356981328045,1.1994070934976726,1.281530166149228,1.5557247664326734,1.4076605317779713,1.4884396821452144,1.373836657342701,1.3349149536013354,1.2154275496968088,1.2726940747270254,1.0766379421747232,1.0718097930281403,0.9605232176508844,0.959317192022558,0.883672759181219,0.8323413353368059,0.8407902665710094,0.7955856510555666,0.7897209688975694,0.9584257976959578,1.0333453921902571,1.1968062908744383,1.1544224365108169,1.3644931349011937,1.3394071858821164,1.4282485997155694,1.5747021633190355,1.5930610047270322,1.8313757393450976,1.8295589425991263,1.8303777297283959,1.7586113569224893,1.6701684050510983,1.44563835061096,1.2035669575743169,1.199796634225504,0.9819688206848911,0.9605456043462227,1.021958256115428,0.8373731322889357,0.869575025113937,0.8384655661411966,0.7395954365530094,0.7965193582894938,0.7865980398871831,0.8603944885379174,0.9457711510251707,1.2585926748989993,1.3905730786265036,1.4346324034974502,1.5689511249626864,1.5608816216312464,1.6817076587547757,1.8225271629081914,1.6850378628101235,1.66613416220606,1.5481421724032172,1.4277347784001915,1.393921280997197,1.1983089409454157,0.9605903144365555,1.0088140069148825,0.872090124917734,0.9035611607550154,0.8866409338144623,0.9849865486080629,1.1845887166294016,1.1027141797836664,1.0872115317706017,1.1548150820979108,1.2231808993393964,1.1370342777003497,1.3253929484774902,1.163578738082058,1.4477455103773962,1.7509143067211492,1.3869771937374404,1.205657421298928,1.147860734075462,1.2973151242069438,1.247525227748479,1.3718782852495084,1.3186081401555192,1.2281845451962707,1.1552026026155007,1.2244176896969456,1.2786446761176191,1.2137526934812144,1.4080914948760686,1.500300230292136,1.5938538970435532,1.442054375152619,1.3775830463014338,1.2443638354697224,1.3669444706482816,1.3402462300079163,1.3533794779133133,1.421078276750693,1.3591202340144841,1.5389510330568925,1.3885677056859917,1.5046637671251963,1.3500333687325496,1.493156436439924,1.5973012346736053,1.674077237197125,1.5721370422965717,1.5232318660763509,1.448602947752541,1.4949534195905776,2.2018212386390066,1.5452069337573417,1.7057643525777337,1.546037321054656,1.602008972769948,1.6593360774884585,1.6912284601222365,1.7672002865918195,1.7160742834608946,1.773618724808831,1.8205548697511131,1.9235706883427763,1.8358153383822562,1.7597476369469027,1.8087874760239668,1.8050225820976311,1.760093159615012,1.7392331997996109,1.8376396737703837,1.794558190837281,1.7183502214269963,1.729853604106881,1.7734435716465433,1.6926787126623477,1.726363514228006,1.8145618140210313,1.6862558727740953,1.8224621365984,1.652528731695849,1.8437514412815115,1.8030048697851906,1.6643689591523405,1.690034162691177,1.9801653820612397,1.7499353713400723,2.0655396840440376,1.7818899852739518,1.7606533002465632,1.7861416632473297,1.7532792363081917,1.782139002111005,1.7356306345900425,1.7348299162317484,1.8151566788516902,1.8720368337531135,1.8906534810584952,1.978347321066068,2.113729788615656,2.1967743099699604,2.42569925369502,2.1230056567167765,1.9056851691381709,1.7471131621450917,1.6918933311350763,1.6940602699303708,1.8818533268494617,1.7168881841950043,1.7069218921489322,1.7335537235725953,1.767877485235517,1.7727572808141803,1.7425155788852267,1.7689579106452495,1.8161932311905664,1.7316312224620858,1.742323731616579,1.8634924073364703,1.914361495566574,1.7631324349052395,1.7302248772253437,1.7021900209878944,1.7076603331581446,1.7119348671481731,1.6919594388502783,1.6849627394257802,1.7099598775156528,1.7275861824850454,1.749883593273535,1.773242652495143,1.8068648271594203,1.8223570201649721,2.0187083172174782,1.9807678800477055,2.0305013498688043,1.9961883809124763,2.161469293190629,2.144087805563958,2.1943881486959076,2.2654157815851215,2.305395381436528,2.1983075431305483,2.2254052072844694,2.0142748535605617,1.9504801366105011,2.463376596654377,2.398053858319773,2.4068143468623093,2.40551116997341,2.123710478960372,1.9152422976253625,1.8115495565395725,1.617487217389289,1.8094098907360006,1.7165559794036622,1.6895095259488193,1.7431154340970545,1.701291887990292,1.628337224494629,1.6103737055135028,1.5381741133621343,1.5899730130368812,1.5955357222893338,2.1130919877081493,2.4685310954870787,3.6756690660181177,5.346826787025553],[1.2253635056419834,1.3148635299884446,1.668003872374617,1.0556524623501269,1.4999295661016887,1.1621314319634257,1.079204024730537,1.1379484514959872,0.9327351547459758,0.8860100352789629,0.8155463888126778,0.9158769934584393,0.9798314265870319,0.7963457843233825,0.8311017517982587,0.9436773091037276,0.9310116343505607,0.9287777325194302,0.9013004214399408,1.0477230311163368,1.0252635053572043,1.1285380663777285,1.1448845567545713,1.2174566537754081,1.2611267795457766,1.052085997933073,1.0984690869497087,1.0359188389599654,1.0542695582331079,1.1222563710649687,0.9338708994615719,1.0955366606873196,1.0597394982734811,1.044603016822353,1.1234560806337146,1.0995040489779568,1.2058959293907918,1.1884715568795619,1.1996018035271825,1.3030722508943808,1.297683609218243,1.1790626976853715,1.2191959444524494,1.3261885743301662,1.5001531598290128,1.9447818586542778,2.047764234681704,1.4269831366913344,1.7148743890944356,1.948989392473761,1.4949434421852372,1.698320770105669,1.6375744252995343,1.5022164239578477,1.8902196241789577,1.4596153861867158,1.3180848602701325,1.3682000640419296,1.4630286433088744,1.5091213335917701,1.2464363985592064,1.1937359101648743,1.1319467457669217,1.1103434996707284,1.0744070944847826,1.0869771018410028,1.0367598854165145,0.9510870667439286,0.919596394403925,0.9283929549591841,0.9596746521735857,1.1173150592274794,1.0099073888038508,0.9540927313504364,0.923339872631426,1.0417067363499966,1.035391442959336,1.0465783886266022,1.132269894101902,1.2385469984509847,1.3093206372296229,1.5908272040929181,1.434750781788403,1.5376420069946353,1.4101485015557977,1.3646367645837636,1.2598094733446452,1.307120051163318,1.1220354457443538,1.1117246029395238,1.0099026189698426,0.9765866961776879,0.9248247663677822,0.8742390583719076,0.8766119186524444,0.8175534845984141,0.8093366709958829,0.9820969141728336,1.0474758695195954,1.2082872247498755,1.1932228121907733,1.3647799513281111,1.3625288825824566,1.4504588536728433,1.6008837030412923,1.617721675035507,1.8545694604440575,1.8573091670635629,1.8563778106008835,1.7726663748364109,1.7011829124892022,1.4858408231230082,1.2355341876348895,1.2463697487359633,1.0257684324180256,1.0089607193255028,1.060545081635456,0.9072708909124735,0.9310533012872166,0.9063935897499797,0.812637767463652,0.8601517570847853,0.856743654461349,0.9192656898284152,0.9825571095088198,1.296900630998686,1.409668514071317,1.4723914516488954,1.6119747386128327,1.60601334698087,1.731881944689699,1.860788378305403,1.7270302214136788,1.7083373811249714,1.5975831477226754,1.4765852928168777,1.4551849015442684,1.254009102423148,1.0269053672167423,1.0754770193679328,0.9335614582554902,0.9647950636940283,0.9584483012195707,1.0446935856174702,1.2306911779663243,1.1515122143125582,1.142318943567321,1.2133393451965981,1.2663863539966782,1.1698472746653943,1.3521904149772548,1.1677515960471978,1.3938383386429571,1.744726358719301,1.4018783325351076,1.2070660554976451,1.1631782734298153,1.3263781993123538,1.2746575071906867,1.4110027204141395,1.3661331604605933,1.2790593875746785,1.220319557705136,1.2842238332363902,1.3235943647299353,1.2787174741306704,1.447714399103602,1.530625122484921,1.615902913168582,1.4670551753141086,1.4205666207721437,1.293125738650748,1.4191817194722347,1.4039047160416536,1.402215249805967,1.457595318846806,1.391259126417392,1.5414512820812936,1.426557827099534,1.5303632862866932,1.4424820066614557,1.5362639978101464,1.6376590702418845,1.7184218557709725,1.6164176783467887,1.573611749181381,1.5011111443347414,1.5677363964749338,2.23309487826943,1.5866791618560354,1.7286883939331732,1.578833995601484,1.633365783170064,1.6901961756486779,1.7251771902000288,1.8160001134043775,1.7644431426829934,1.8073246277153536,1.8611920373684099,1.9742946631240854,1.8585484090186346,1.7740933101263079,1.8364437921826844,1.8258918998531601,1.757221909533026,1.7331668500900035,1.8409300356821179,1.7690287197619843,1.6739982075521163,1.6916771480583421,1.7184700525646825,1.6364023280684938,1.6712322716162789,1.771258286662604,1.5977686777304525,1.6656260370013896,1.6102314205657091,1.6832368807089853,1.7188109257153863,1.5768765665375182,1.6267705382818964,1.8819977274795696,1.7014514274821237,1.9875060746437234,1.731133542468063,1.7197611838940956,1.759102261804912,1.7353710489590752,1.7465419086532912,1.719255585315619,1.7273497948648753,1.8156813420999525,1.8743573324786558,1.9066637466194347,2.016743123140089,2.1520915110401106,2.224612017525814,2.5283784983097353,2.152755120578058,1.937714170617309,1.7600807481701481,1.6772507859368506,1.6701930111580139,1.8520526214548423,1.6826115665215542,1.684291497744756,1.6894507929310274,1.6827635969050245,1.7198938851906707,1.6917806949015106,1.6770671304575127,1.7143820681487134,1.6635777321222731,1.6417431262401239,1.7376620088566166,1.812977327244216,1.668600128422776,1.6326279262799694,1.6229157033540056,1.6326441210295317,1.6519189714285334,1.6348972463332552,1.6084966806629324,1.6604810751940626,1.6968282341343155,1.6924703601544466,1.713305022945936,1.796231687006805,1.801904708507845,1.961057824200118,1.9329901908627487,2.0235747109729982,1.9567947761021154,2.0771862919825885,2.0834840994755295,2.1470136037341585,2.1427415257776716,2.193543481707314,2.0316575638975825,2.1363929622101416,1.9608710122466617,1.8927254956103896,2.4397604474434926,2.4102942796135567,2.4132415349683605,2.4355853023999616,2.1570223231102306,1.9510162694857953,1.867258177980855,1.647960925944218,1.7964150602543854,1.7132563384446347,1.6650341449089474,1.7340195853048084,1.6927154386596328,1.5768567031654,1.5338503251308595,1.517377677985147,1.5469920590453956,1.5680482068706756,2.0250724413504333,2.3346919173588874,3.4017399738908836,5.125056817631911],[1.134181563720359,1.1821228792625984,1.4358031088509249,1.0509515382634451,1.4395387258009749,1.169003317491248,1.1224517018594478,1.1396032379388952,1.0402126544606676,1.0309949510247365,0.9883125095587617,1.0364086566413249,1.0981573122007011,0.9774467707635807,1.0129725694394596,1.0797050693845869,1.0630885335914162,1.0760460178952453,1.0584919554414234,1.1656397105932739,1.1484286414171792,1.2242391069823804,1.2326139612150626,1.322504261937029,1.355070713357341,1.179751835491084,1.193133007379131,1.1450375904111059,1.152997738008816,1.19742988755892,1.0779209046115181,1.1625834505612844,1.1402380234099236,1.1306159984336717,1.181329495525577,1.1821715311067822,1.2316138789409181,1.2391628575052291,1.2332524447321562,1.2780385402262961,1.3294332253414531,1.2466276266509613,1.2641293916470042,1.366856018280601,1.5287694029797376,1.9636911074413237,2.029567547509362,1.4415863013206922,1.7525570437626807,1.9427493738104389,1.4733986979580223,1.6559574754433413,1.5846925906436502,1.4730539717937128,1.8245015371287174,1.4299335938325766,1.3345194727350278,1.3638763334970292,1.4563199021053292,1.5107035672594193,1.2999761652737052,1.2779935698283513,1.223447411127284,1.2321299022223766,1.1789314597496978,1.1860798947083855,1.1702959384678167,1.1010552504699196,1.0836699170929578,1.0972631185613562,1.1143486277539856,1.248920056138416,1.1727690597380673,1.1143164025576908,1.0893674477837463,1.1690473043920138,1.1570939460887262,1.1488307389331112,1.1962023726816302,1.277916765377342,1.306811804374359,1.5568345396355128,1.3570303788743256,1.4309402231835187,1.361787926283533,1.3415616041954976,1.2799976013585088,1.3051480498825987,1.1927435470617225,1.1769518450725853,1.137659433626043,1.1278343913004618,1.0841725854529998,1.0244632824951907,1.0321902600738588,0.9991364168211229,0.9972663081268974,1.092227083050146,1.1294719601899266,1.2341403193481886,1.1999609282722676,1.2870302771694269,1.2978661053138867,1.3009185539261203,1.4066808259272454,1.4147039131846593,1.5746420025541243,1.5781788271276276,1.5823840652149253,1.53031217705054,1.5129027668192676,1.3768995451810642,1.2187602693865986,1.2568418572552362,1.1242129873154743,1.1138609584149386,1.1891277012816484,1.020597505376778,1.0763231895071417,1.0610776711720458,0.9803670997894277,1.0289544850297387,1.0058676389514827,1.0486456613426776,1.0903778593149513,1.3292096230719597,1.3576740401781848,1.3694227813906898,1.415201928330529,1.3850516492835554,1.471930278206022,1.5512674623744782,1.4722660562688845,1.4586170511833103,1.4077261686570353,1.3566272897951426,1.2878229934654861,1.1955562264067177,1.0187968793152113,1.0801810469877544,0.9832113493292863,1.0133646516539105,1.029342263520306,1.1025158104583357,1.2745748036137812,1.205737070608725,1.1915711515690395,1.23851332144218,1.2416326349846711,1.1734774691104837,1.270147841438712,1.1467197733422514,1.3061291798912507,1.7064100683085504,1.416256305634637,1.1808419869864701,1.1686051641448247,1.2507814334910459,1.2639583874960212,1.3136433592433263,1.2876964669145672,1.2637867530492806,1.1995676839043763,1.245276375460719,1.257687626365198,1.2191392059117514,1.3292554257678721,1.4171246926318628,1.4836580317282528,1.3925527600625558,1.2987481720077452,1.2203955083049423,1.316058256883431,1.2845933552955164,1.308975852619312,1.3451277793730758,1.3480315140038825,1.4576314153917558,1.3345160422433762,1.3975931372179953,1.2808089886665697,1.3609860291836118,1.4214527194136322,1.491622883847786,1.4358741363891887,1.434889760654116,1.4189465625079423,1.4459895130283695,2.201528634322605,1.4820171052303062,1.6252354061425975,1.438063426106652,1.4497624199165307,1.4825615000787207,1.4642122161244102,1.4946652276371606,1.4760789904971219,1.4469406531815374,1.4616100482076733,1.6090341692861787,1.3585867838157968,1.2991354148413155,1.4483730226281668,1.3373177398142053,1.1727278688386136,1.2327379277907387,1.400423061305295,1.14357658006147,1.0604328132757592,1.1370208598222964,1.0355026192743217,0.9727515669572023,1.1716499565464749,1.0783327739529098,0.9544486159473444,0.9895078100951306,1.080804911826706,1.1530725019605466,1.0401317692352303,0.9296771151851851,0.9882323239666188,1.5604332368840048,1.1091550595609474,1.531977629459449,1.0903710156288626,1.0669865690707327,1.1532555424895343,1.1164389517302566,1.1270718839575586,1.1402004568610136,1.207621048561485,1.256322076540739,1.3742752058249632,1.4245696121206324,1.560758236310699,1.67227157970122,1.7644392271951894,2.1364628692804915,1.7164213691440513,1.4982577306694291,1.2600311168475486,1.1400399156811256,1.175811851111395,1.3325437646525558,1.238960314303451,1.2119424645026176,1.1461602668841808,1.2256159655902474,1.3066916191535947,1.1749483623999317,1.2293202031472437,1.3529705686470481,1.1934657977371983,1.127273233134736,1.3467176317684626,1.480597742165099,1.148629230369388,1.1218229063276492,0.9994433233126896,0.9944518489660986,1.0248517087219697,0.971812849743964,0.9382717790609114,0.9799540431766603,1.0434728332780492,1.0299641922477603,1.0627688072794943,1.1960779875016498,1.1818540841757261,1.4098996254804477,1.4038141959153543,1.507544797157162,1.42504703056814,1.5932404822460076,1.6241484654889242,1.7088580388148296,1.716276688435639,1.7941309122257332,1.590838548321236,1.696651574560354,1.4667705265035373,1.5202310374930477,2.1466420860336495,2.105508608863808,2.0791516902906637,2.15863236999844,1.7716614812448723,1.6851322134287994,1.5357833765974556,1.4557880007510757,1.5354929559442263,1.403488293230903,1.2758389557615124,1.5184510270013867,1.4783003907151517,1.2320115851525164,1.268044759102753,1.4123037533369658,1.38783474979877,1.3200272940765094,1.8108417642375996,2.005409147376419,2.832199221682542,4.23865692904617],[0.677958782058592,0.6861530146226803,1.0116732893302023,0.6162893196569104,1.0343814769412034,0.6960514070555079,0.6339194526810326,0.653091838240995,0.5760084494618753,0.5556559357241063,0.5288600992964728,0.5929263982784051,0.600462831292239,0.5204677716822043,0.5529960325321878,0.5898279115036329,0.5957368243413056,0.6054472114588557,0.6231574753278103,0.6990898908755383,0.706562430543115,0.7826268640554764,0.8466956332560907,0.9656359706862003,0.9892884402706121,0.7778500159620535,0.7499897273090237,0.6817004087381289,0.6699348288580839,0.6920200140189398,0.5981399965179917,0.6632504349950613,0.6622245767677549,0.6336801044813194,0.6704151176455789,0.678216179614518,0.7215970929918584,0.7401579180487916,0.7493801701865163,0.8024100645313617,0.8780193851952064,0.7956289026746506,0.8102907670001763,0.9573625291959567,1.177354558739475,1.665341401758873,1.7647243062163964,1.0658184176722054,1.4124545108943902,1.7290560711527094,1.1259594489907336,1.351362273970998,1.2097423786612482,1.092900268497102,1.513004964405804,0.9984513001927331,0.9017678231575136,0.940899327451586,1.0282949671566417,1.1090887812601937,0.8613477329996161,0.8122617187705146,0.738857674415854,0.7803902567785156,0.7284922906384643,0.7128541207027074,0.7795888914908307,0.6343484266353371,0.6915085873534498,0.7377624179818368,0.8142854185344109,1.0284787115896028,0.9015117314751016,0.8000129916265849,0.6679523351758857,0.8506604347717069,0.6652512840456541,0.6406817856338415,0.6825107444006895,0.8002000047094052,0.8236539372520404,1.1273396856250242,0.9008649978071435,0.9827720970988296,0.9149036694138799,0.8593445318305106,0.7869328618791828,0.8183606138247762,0.6871340511378512,0.6859236502089449,0.6334591254209456,0.729064372901093,0.650049891483495,0.5491622073752965,0.5579064744394483,0.5895395306276904,0.5926723443689406,0.6203717135039628,0.6556900608613273,0.8181089140108936,0.7027960481041415,0.8441507791076862,0.8027623610008765,0.8319296964193592,0.981295429133307,0.9725042172127963,1.1827927051112328,1.233888111726982,1.2413397590955826,1.1362651573354747,1.090212276556436,0.9162041350866719,0.7249339896053038,0.7852754959390954,0.6345843166357927,0.6636994719489542,0.7425922796733687,0.6093991557699079,0.6926106264734637,0.6267852240213515,0.573355721371601,0.5987409150344852,0.5949691477242116,0.605967329024279,0.6346709735958059,0.868282964165323,0.8926722134044003,0.9295347759696372,0.9978256534879894,0.9667422273889528,1.1258222219010063,1.210905849241706,1.1110990825071627,1.0552085991720292,1.0229930311177389,0.943823699780428,0.9609427081853957,0.8125377903496438,0.6295961602720487,0.6597032925101253,0.636181068045894,0.6679855715911156,0.6267197272485302,0.669423417606203,0.8296093290540223,0.7251332838438349,0.7144515483732067,0.7528227138209375,0.7465375499473562,0.6765316801993616,0.8015847327297743,0.6658265677213338,0.9628570419817587,1.4613653664428852,1.096448481617461,0.711641522742886,0.6664912790220541,0.7630516848868475,0.7581697150568563,0.8295173358663832,0.8160256163982915,0.7696457756068544,0.7429623303887555,0.7766445709009896,0.8123286708114469,0.8763060849806465,0.957594802224317,1.0915302194378194,1.185382151093848,1.0617524682529464,0.9317133320345133,0.8039891076855828,0.8802577218995928,0.8192433802000573,0.820581749025909,0.8477991370600122,0.8434699499501386,0.9772190451188634,0.8407209686220319,0.9163201705581299,0.8569269066056108,0.899167371948076,0.9958936002756521,1.091836252077335,1.0335981409617494,1.0275860187655939,1.026757907921826,1.089029960092338,1.9211348006162146,1.1500224368805227,1.3610308962138398,1.0826581070245131,1.1203038769452722,1.1575673727331257,1.133597823632686,1.2308135024100328,1.2002343392386177,1.1764557526811759,1.215326387352268,1.3381072084764827,1.1106202114725965,1.0046974435453786,1.12599181812396,1.0812639220331886,0.9471380451530544,0.9469907675864745,1.1117738244693693,0.9562020631986196,0.9001710662254,0.8992394265231486,0.8904945172734969,0.9372759231324138,1.0707958200063026,0.9959680108678867,1.0065477115590211,0.9424518470622503,1.1188730096216053,1.1096478082361163,0.9882151786130277,0.9385615054895388,0.998185868114847,1.5424027355531456,1.1345747318889212,1.5213961620613825,1.0267824066617668,0.9644496398951006,0.981317150777629,0.9849306768825702,1.0363565022975967,1.0020720884744043,1.0580518357284932,1.1641619512297785,1.2850872336043995,1.2741460336679267,1.428531141039455,1.602938799577913,1.659756727774109,2.0424153250153814,1.5248301070957289,1.235790334680798,1.024984088819788,0.9250940443443624,0.9532894549350941,1.1306541011735114,1.0061234344176442,0.9549483736273546,0.9569504591377119,1.0219295972040983,1.053455451746105,0.9538853453818814,1.0765485507724284,1.20945681434076,1.0213461122559007,1.021511577959979,1.2632666622979494,1.3862285639048413,1.0797940275534443,1.073161184899889,0.9515459501456582,0.9154838973650222,0.8808655482498103,0.8596382846551572,0.8872851832555824,0.8674973311027595,0.9166404604382463,0.9649210873778645,1.0007933748427047,1.0662346348048808,1.1160912039381268,1.4017596457455983,1.313243509823262,1.4068296717119213,1.3842339986253305,1.5514572211095294,1.5672799684924241,1.6160581208563478,1.6979169981384405,1.762079133181333,1.5386583935157143,1.5467209344701613,1.2699098506337583,1.1579654843784926,1.8684986606465854,1.9257546480044212,1.987844646727946,2.0609534140961254,1.6066923146629826,1.3996239532404975,1.243035789171024,1.0910357497918675,1.1309694662192082,1.0100151433522775,0.9434436444806155,1.2872666588182438,1.0754231214512129,0.8987801020026156,0.9884257694541969,1.0718493401301397,0.9625773592738466,1.083706611236196,1.537417705553064,1.7292734009544908,2.4364275123649146,3.6501270021846937],[0.35370620356101656,0.4100851374624125,0.6309782504705584,0.30591408969983547,0.6839485576050119,0.42668388300066934,0.3685849375320532,0.43546598724661695,0.4089517077313026,0.3630081002256703,0.38420091919296,0.46574460374530396,0.4012721493070917,0.35973480445182193,0.4345813093149384,0.4320676117111852,0.43452728156648723,0.43868820762064636,0.47780225705715246,0.4856549401143333,0.5111627226946255,0.583860481708792,0.6321902426668985,0.7400416414619706,0.7495094210542751,0.5649963658060245,0.5094934266708384,0.4482313103181701,0.44616448283853766,0.45523042349575493,0.44966926311800726,0.46943700913174985,0.5297478914431748,0.48852896759748105,0.47520509396640165,0.45270079220690485,0.47505550695119864,0.47209137865878187,0.45784555387689674,0.5015670309822221,0.606272605497035,0.5701888653650816,0.5574733701232345,0.7283200949287023,0.969371641364797,1.4787774195680337,1.5516688321717904,0.8335545754002465,1.277910279548625,1.6182611964399223,0.8690254814429546,1.047082893757039,0.9156767067104649,0.7939554735388029,1.2908914472180197,0.7223704509290003,0.6204222653955231,0.7112823965832988,0.8185098407149574,0.8544564598322173,0.6232697579570149,0.6298448480117539,0.5639945437089259,0.6169488542048427,0.5376468287522155,0.5115277424215984,0.6615813475146293,0.4909636905979758,0.6297479346476359,0.6781594584375484,0.7797026175848965,1.015118790826387,0.8755894442609264,0.7554503479459617,0.5536749030975363,0.8278330921271447,0.47361169642073536,0.48276509903870707,0.4685017089172206,0.5674537204871036,0.5505440452586855,0.8578263216672453,0.6715147427220843,0.6310374881810008,0.6234951686730664,0.5606134430890565,0.5129456362548019,0.5783251084289148,0.45560739212010054,0.515266477950572,0.4657413708683012,0.6475628016404154,0.5697283268920182,0.4735606795641502,0.46862043988360946,0.5508770302544413,0.5474757227249758,0.503589442185754,0.5188531734063562,0.7100436186093516,0.5290897969069159,0.6867546287501453,0.5576792633594239,0.5826537569052928,0.6757290419415634,0.643863438177973,0.8384418122841786,0.8345289925071091,0.8555385581148339,0.8197189867021393,0.7225706681612193,0.5652575205735401,0.4266304448766248,0.49109697147627385,0.38825505908102537,0.4351672052168663,0.5285471041698249,0.4060026139052976,0.5388774970809485,0.49868764051426356,0.44988598562907595,0.438444183101023,0.42333585038644983,0.3994914575721802,0.4043617232450708,0.5837382427157566,0.574437190626331,0.5687613008111594,0.6102376130661191,0.5837895357278178,0.7027878227484735,0.7813221662913311,0.6959861038677558,0.6522484937689711,0.6455106310572964,0.604992109264421,0.7008881709513795,0.5064566789530913,0.45950975185764414,0.42604476521575607,0.5257865713969917,0.5212606216348873,0.4597098368385016,0.4416951551945331,0.530280515633234,0.44390334550827293,0.42879088312094243,0.46949780496154886,0.43974974057641025,0.44270228783085663,0.5492717728186678,0.5310004919528714,0.9374163387272987,1.4699185305475315,1.0648599670209147,0.5878985352785917,0.4821800025709517,0.5339546626417722,0.4851560028917421,0.5230326102151919,0.4822258001570938,0.4510402933089116,0.44728840178686463,0.46762179756508554,0.5339854802043053,0.6860336905779196,0.6469287139159982,0.8136399804502422,0.9175567601941671,0.8068422169305542,0.6312833509658025,0.48322795774617583,0.5367690042920901,0.48784833196784605,0.47347798325926826,0.5053474400484106,0.5379029302264858,0.6808985751993256,0.5065351423284796,0.5660386057041551,0.671772157853098,0.5290894524953059,0.6015504309657332,0.7061869752505565,0.6773387539477045,0.7487823705827946,0.8104799702109006,0.8778704544781811,1.773436211501677,0.9016215668426381,1.0893604230551928,0.7723105332119057,0.7726050644734497,0.811782333048051,0.7377857944385459,0.8093612945288692,0.8048971297885339,0.7525302372544272,0.7807017187850886,0.913420889780013,0.6891638032618378,0.6525899239879617,0.7215933811464639,0.6756441368285795,0.6225381836856038,0.6547433628159729,0.7645641495185252,0.6519177649483698,0.772999059921741,0.6931760252582729,0.6866502042825889,0.8297793092903492,0.9950579384491482,0.8251742877016717,0.8920506085501754,0.8088683465342092,1.0377897988153584,0.9267774509130131,0.7612765178376087,0.8028844440865798,0.7960401350902772,1.589277283670311,0.9745255861165212,1.462906676831859,0.7909960766246041,0.7283006678865145,0.7471295823154134,0.7144614006234851,0.7407809224011063,0.7056471481657162,0.7995455930887007,0.82901763739779,0.9665338216742272,0.8917028745920853,1.0573653032804309,1.200016661383923,1.261956693811957,1.6648299812734753,1.1136442928329087,0.8139011766511656,0.6913592817773818,0.7445302673603439,0.883334055243719,1.0288829521074299,0.9461470963982952,0.8476691380477298,0.8884133289018853,1.0328946135920603,0.9954714988750154,0.8566966693243455,1.1256835426036202,1.2924591286845724,1.0154946261078655,1.0382779576309453,1.334896998120304,1.4272663601271287,1.0608574302080098,1.070856454420555,0.8936139478118337,0.8465044275079544,0.7781325808299278,0.7166018973338993,0.7571738878259663,0.662552755959867,0.6510259336965594,0.6965694816945633,0.7428663730058709,0.7128258433707755,0.7720449318684756,1.0966808032028326,0.9775585617514315,1.0128388069038605,1.0363090581660035,1.2530240077562813,1.2455223138067166,1.2903881159336932,1.4126185933040363,1.5009722919895607,1.3201258299096457,1.2692208570650985,0.9714931162635464,0.868175440210835,1.516021039559941,1.5520466324892614,1.6369531994727173,1.717056625149279,1.2186668105008611,1.0068910748387159,0.8061532661859074,0.7074555002369755,0.7674768849819831,0.6812505487152516,0.71808509475971,1.326605419959846,0.7755162917978796,0.74572536301203,0.8925254420584262,0.9299894452024149,0.7444999999770303,0.9347241519447298,1.3981418612505152,1.624093765454226,2.1467343592145487,2.6810846351308886],[0.42798158460504,0.4612936559389036,0.6586917849200411,0.3629612179568553,0.7161210639906156,0.4333551848770094,0.35295928269246435,0.4194760253244388,0.40722060829371654,0.35045073443484864,0.37233391120755127,0.4391724310386988,0.37502010152494153,0.3610434990733949,0.44283637398373654,0.41303035309255987,0.42883256023374344,0.4543414144061818,0.5343733704213773,0.5124042448902527,0.5647171783685988,0.6283786288768384,0.662792777767252,0.7943793988668123,0.7809833388830593,0.6453946241359303,0.5558030166130677,0.47182072896655625,0.43749841966725656,0.4182995580462255,0.45442431784469517,0.43711182148769206,0.48848817207237605,0.4509902050752867,0.43514449679622835,0.41489911016989284,0.4375420247270518,0.4520989588408349,0.4579126380393659,0.4897876355575496,0.630864004827523,0.5695384932162303,0.5700916425110892,0.736225232151893,0.9544676601920475,1.445688786213883,1.5703304427611464,0.8430904845298157,1.244191902815689,1.631591132201953,0.9357936433150639,1.1309180055923396,0.9094492762067072,0.8124833159195889,1.2565176057659486,0.7027291496787579,0.6307434404863882,0.7025225658502057,0.787779094677303,0.8676444906206414,0.6434734331635441,0.6267375533180413,0.5566083485710913,0.6743922264290574,0.5873283598158976,0.5370068426358615,0.7293699715497025,0.5259392196359333,0.6727889949373345,0.6928314924565384,0.7991015538819214,1.0332807669985533,0.9066370577916016,0.8315436749311687,0.5633389053202051,0.9016498446218743,0.4845655419575182,0.4841111317299225,0.43696159027599174,0.5305269005441763,0.49086920304022047,0.7771542424553782,0.6843955709239751,0.594009355450339,0.6356688185220816,0.5163582672539502,0.4818939135328581,0.533635691977034,0.42245086988421454,0.47826585744930356,0.46571774538069455,0.7096544759160289,0.6036614337642691,0.5047790283864666,0.48116766108085063,0.5865555446145279,0.5859702862483165,0.4824135736528453,0.4929888987157278,0.7344581535012105,0.4905189902510909,0.672627213519077,0.5154104115204027,0.5429628847129833,0.636237914936464,0.6140813814329427,0.809104783397361,0.8496305346190021,0.8720591246892588,0.8125486357656859,0.7006334523743655,0.5442258401737028,0.4031771222923875,0.4834314380757199,0.381917502691563,0.45494314601940533,0.5293675176917877,0.4491518583828263,0.6080318743469654,0.5042651055412465,0.4744660357126745,0.4477773902430316,0.45995500893473135,0.4172896369591618,0.4185748086859451,0.5927079967583164,0.5772024460710564,0.584799868413002,0.6307977480162188,0.5956385765586071,0.769527553422169,0.8282701652697927,0.7520478916513582,0.6669529890367134,0.6929327684368717,0.6393132359787375,0.7742589685607691,0.5749261924868646,0.45460979858009953,0.4432457218771342,0.5371400740078756,0.5555378318501691,0.5150362028739702,0.48869129066500266,0.561428146164652,0.43972514678533975,0.428904570215739,0.4491646921134632,0.4144587421361641,0.43656620838421434,0.5269191890246555,0.5573479561534953,1.0100064791315086,1.5283891060072605,1.0983877254790486,0.6042919428238878,0.46465017824134225,0.5064052546667807,0.44305047278773524,0.5006510262237446,0.46810515558821747,0.4450575635215653,0.46680946855503114,0.481905278532757,0.5305338314518361,0.6910200200772117,0.6968434316573112,0.8667455570761046,0.9674321824541751,0.8629015226107793,0.7026900793803199,0.5388871032820967,0.5567890034239372,0.47202528439358393,0.44886824762179056,0.45418204316036126,0.48785297018939117,0.608217703384604,0.4761103583855998,0.5224434196507679,0.6417429591756134,0.5068959759842026,0.5983990215359378,0.7074044520953967,0.687626704549698,0.7430112154746551,0.8026343202047629,0.8700492002750289,1.8049578135756983,0.9796528870834262,1.2143285688495544,0.8159232194547227,0.8530002032234802,0.8868404114346687,0.8143178258469647,0.9207864936415393,0.915054364236045,0.8487686414525961,0.8801168404758687,0.9740290137040031,0.7390069997965266,0.6663839382274387,0.7472820373611548,0.7366578175494427,0.6571932803670204,0.6724435129381173,0.8153519819189043,0.7064616411614244,0.798802165609264,0.7155392171161927,0.7284692027561568,0.861186486022061,1.0031964345123772,0.8366661462581155,0.9274040101906038,0.8683300374593069,1.1022142325979252,1.0339200414072094,0.8362667379766456,0.8607027632348724,0.873820922487326,1.5734372726179169,1.053968948194708,1.5116132750871685,0.8472738841921387,0.7754799957378812,0.7672705045339582,0.7505961664451556,0.7965076530266882,0.765464645749614,0.8465128874134191,0.9162551340155694,1.0594069019416612,0.9810279416273744,1.1539643443169143,1.3379142235316743,1.3878247159322201,1.7734482727636358,1.1911740982575147,0.8695644064209945,0.7436592606669806,0.7766386710250421,0.9101093308603093,1.0524136753968283,0.9693546317690235,0.8677036580369302,0.9191749532972578,1.0763332160120858,1.011558238630295,0.8739808905377925,1.177056309207585,1.3514536464874123,1.0411682730928813,1.0951991108316956,1.427476636138989,1.4896137242783185,1.112090964891657,1.1402995653945163,0.9476739181059161,0.8978683865965869,0.8107803381760558,0.7527618420778677,0.8070437881690077,0.7061112274140335,0.6958641007497856,0.7629876701410627,0.8120050893127987,0.7941665159936023,0.869233889273576,1.2286428345870382,1.0985557695951433,1.145317814851072,1.1860487842239977,1.4157189597282296,1.4047882566355485,1.433754149357497,1.6192503138889938,1.7002877987418175,1.486257127077871,1.3925502264515819,1.0504403278969847,0.9064531585272425,1.5602645603235845,1.653752221956997,1.7980488995023842,1.8671227068757537,1.3251462064872301,1.0846396851570412,0.8830466735434882,0.75455573378925,0.7689505179819816,0.6681869125841646,0.7035118728138225,1.3635449341420183,0.7421973056872211,0.732335489589855,0.8900387646272214,0.9240622350651625,0.7136870688676628,0.8985257898595327,1.4231993323371168,1.8632492475461133,2.4881079566653233,2.676191671677679],[0.5077996909778316,0.47379287145196525,0.6374000348478045,0.41151952948328435,0.7514157633868892,0.43447425597443323,0.3324024225814431,0.37129065970003644,0.3934589583195048,0.32505016398070513,0.3456501346694864,0.4203167241687207,0.3450491500902848,0.3334169072529243,0.40778850889156826,0.374854624755558,0.4046153440362293,0.43607596380708197,0.5452110994342639,0.5142771923384748,0.5712292511481429,0.6206614703734421,0.6996820216810092,0.8468962005776425,0.807204316945657,0.6828113180624126,0.5820364543917591,0.49105810703905345,0.4270719855974424,0.39021371389051657,0.42221392815805986,0.39137766930005496,0.46803004034346934,0.43086008697877587,0.3930546852929608,0.38634632036657957,0.4032311368307702,0.44898628967447246,0.47485212143031813,0.5002415336517464,0.6364423712345618,0.5683956927639914,0.5865810468236612,0.7498169976108953,0.9481858927972047,1.4229800297970816,1.5806188594588761,0.8632391782775407,1.2410029465275394,1.6530577252215743,1.0092169374983202,1.2051221286593636,0.9391830988673158,0.8583709792941967,1.2603813759598301,0.6986862708823505,0.6506134465025275,0.7038938605141887,0.7618495434581317,0.872774656888853,0.6433072826646041,0.6026111757347908,0.5418521403008141,0.6916503136906924,0.6013608456075539,0.5279618891303858,0.7222079857118563,0.5243967988903759,0.6896975689862757,0.6831796374714617,0.8011164868569803,1.0518641368603687,0.9056338532720356,0.8525589776623288,0.5737586102870803,0.9418638827291405,0.4830870596609994,0.46831943931706366,0.41068915396765265,0.5076782253637733,0.44818252368596945,0.7499093514747566,0.6927823397048126,0.5858413696860304,0.6836841226463574,0.509219444682471,0.46725248292199484,0.5038729409505055,0.3907212416254952,0.4624485763846595,0.46312113788712134,0.7238607990277116,0.5933077067644419,0.5009261748861102,0.4590329856063598,0.5867120040519992,0.5720638960656028,0.45109223411420063,0.4659938777748488,0.7308666857017161,0.45689653535052765,0.6272750692996263,0.4666528688666463,0.49487232593347896,0.590002502779959,0.5927861641017712,0.7571719093499356,0.8457546161841827,0.8701798516950783,0.7722420401226477,0.6645292448825353,0.513290392569513,0.3833449892884008,0.4661633691512661,0.36279739601147903,0.45426641264597944,0.5286542301290842,0.4736580309246737,0.6758614509081972,0.5219479837374628,0.4998935690639063,0.4485471832366471,0.45028799062977864,0.40813928658035364,0.4150447530881935,0.5668106914446395,0.5740383229625322,0.5851386305224617,0.6248495196639938,0.5759543090296757,0.7919282497864131,0.8275825970765056,0.7643896367791361,0.6529032641010997,0.7083888020950369,0.6522171459697222,0.8183245420601736,0.6320487655890431,0.45475242938890925,0.45679473336497717,0.5763490336692095,0.5921429866241326,0.5338091758489915,0.5076043004466286,0.5877544942226302,0.4448779296446103,0.41610970680114495,0.428523952240442,0.3811191148568797,0.41442414049909954,0.4825730969914985,0.5488469818543563,1.0221600415227912,1.5988178361080283,1.1518303982661011,0.5970076578220247,0.43050788302589743,0.45868576958865565,0.40283772315605915,0.4829216114154791,0.46074675396709114,0.4224138263954462,0.46138617169998847,0.48618325540441565,0.5192189936753216,0.6531985454160808,0.729863764481825,0.9039356801287233,1.010242091555955,0.9099802407376553,0.7508550927597555,0.5804064149010368,0.5768280378533431,0.46165023820681084,0.4271559605015003,0.4288285760377888,0.45488976728001473,0.6064948812497301,0.46087123448615525,0.4743714834998801,0.603641393287251,0.47529130606778086,0.5724890888116957,0.6812302055850258,0.6715895940074299,0.7322651896572893,0.8112190482181796,0.8885421265962108,1.8560987471720771,1.0235902975117022,1.3273999651154595,0.8477264177761038,0.8834023078455172,0.9108238146667104,0.8393519929012483,0.972659377757818,0.9690528739282656,0.8872371753396783,0.9221845220132044,1.0029015815030615,0.7443484799028837,0.6355691426143308,0.7318441717242776,0.7427591604515584,0.6309743149479826,0.630502422194652,0.820015066916364,0.6923913846674646,0.7514283813718686,0.6802159076013693,0.7088347138120904,0.8295128122889217,0.9532196183572711,0.8171866080835006,0.9180664303252265,0.8640634525850844,1.0909216871307144,1.0364237659821678,0.8379276705285958,0.8504098230268141,0.8737122205111761,1.5877492669232374,1.0454092181563748,1.4865031551442864,0.8225741615920038,0.7403138296726741,0.7338186677479235,0.7297747375748104,0.7836311924422253,0.7548800204959123,0.8330516891114148,0.9308365261158832,1.0752193648872963,1.005269477482997,1.2091286593521005,1.4022813806949492,1.4373236612536298,1.8591078476478464,1.2256657281924892,0.8793711867032471,0.7351349353062279,0.7373743725768854,0.866756869441372,0.9946717626141891,0.9324664657561567,0.8176228312121359,0.8661829113616692,1.0364519524049205,0.9565837469871336,0.8193306006212464,1.1365806220718675,1.3199104729569473,0.9874862390144598,1.049351443390979,1.396843820682007,1.44254416521442,1.0670040744782712,1.101790802013083,0.9081884278904503,0.8516061526449594,0.7568528391248627,0.7032065493871898,0.7675574557889742,0.6766225608816108,0.6674853626360493,0.7493543490678994,0.8088732778545904,0.8073371680649359,0.8844781782734464,1.2436084482624512,1.1194550202388003,1.1772860679536874,1.220888886582433,1.439033534111397,1.4373934894563027,1.45367777513026,1.678059255339752,1.7416630427403124,1.4833300190642438,1.3792936052015408,1.0449256002342395,0.8797022851189692,1.4955586095064575,1.6423969175081357,1.8257080755672215,1.9251967793284603,1.3631107617186247,1.1151807509703429,0.9137527891256637,0.7741755505523662,0.7333776265569747,0.6109383122695384,0.635783181928718,1.3733682121832484,0.6809608251772051,0.6658120616731009,0.8159667957427146,0.8601663863584273,0.6511138735480566,0.8404686059880138,1.3863436218102412,1.9492471470574242,2.5651370462944363,2.431501325003056],[0.6449999786496134,0.4913175737218065,0.5839291720874068,0.3825709781425018,0.6762393788938009,0.3855339706855135,0.26856460519345515,0.326588295741526,0.344371167663509,0.28170366693967264,0.32956086414929137,0.4147827397646905,0.31418402104269805,0.3093556276678437,0.4089071718463368,0.36093021605288916,0.39026318644955665,0.4197065012794818,0.5456879915874018,0.49233535314858107,0.5693223347147774,0.6045859449647433,0.6700126715797615,0.8204271945076724,0.7521416977431139,0.6636093371733308,0.5358256460777953,0.44371118082188327,0.3737037286258335,0.3444226320386267,0.45030676049403506,0.40750943695722996,0.5330094060634201,0.48198234259405986,0.3969050288072267,0.35776615512310517,0.3642187068533206,0.3923821222307622,0.4103711689778073,0.432109864640969,0.5936614002815612,0.5290687047995353,0.5421999778481881,0.7012786638473755,0.8991182611780781,1.3580188017164099,1.5242722430991253,0.8085460498202972,1.189459963375994,1.6011481832613892,0.9647809302661268,1.1597305054939753,0.8700930206101645,0.7915111411979199,1.192376118568671,0.6437806642757254,0.5854120122892734,0.6705345364297195,0.7282741553399457,0.8298001991536069,0.6099542115088809,0.6028049615908837,0.5745542586097684,0.7161846705148914,0.600611612505559,0.5332407829172063,0.7501114125470267,0.545302420643406,0.7227421670787637,0.6982453138454702,0.8176222782342302,1.076659694209761,0.93183565112574,0.9065756218735901,0.6128310229824634,1.018289325447082,0.49911449038168726,0.5128723420643162,0.4166473488378576,0.4783364535726372,0.4010416884173929,0.650490746023835,0.7193260144181266,0.4798162127035362,0.619779712686731,0.4326705432637268,0.40712339682804904,0.46497118436516266,0.37261361591091013,0.477705722652088,0.5089758889829079,0.8107288302480385,0.668426674079162,0.580884200656092,0.5167540305839858,0.6647871495973163,0.6408986239419525,0.5139912258350231,0.5087495589929232,0.7766158337525758,0.4813947794875739,0.6508294513882157,0.45992453757273405,0.4753918702831881,0.5156077143286166,0.5104745435809264,0.6683835500115914,0.736119133297348,0.7685237179975742,0.7082488656991188,0.5473291379014651,0.4016494502661229,0.2886987737200837,0.36952149573262877,0.30822102025456716,0.3949506095205498,0.4819805267917377,0.44726904608459866,0.6766465216303021,0.5114657187873537,0.48596566532645197,0.4218194081562263,0.4255789392445734,0.3549053959422457,0.3496880220083474,0.47450197604225386,0.4825539499753463,0.48972725709478204,0.5263325095795968,0.48147200268641355,0.694351896536079,0.7185474491896329,0.6588304586401393,0.5472097266456366,0.6127895521082871,0.572946828203244,0.7573715085684378,0.5697911318387412,0.4104376636923228,0.408762327166595,0.5688645471545059,0.6066417651468647,0.5314260235958864,0.48618047915389906,0.5142222017750043,0.3857579572435208,0.3553430588021282,0.3541805563769404,0.3043693846171538,0.38092324393599514,0.4645506177510425,0.5996208795345381,1.0854172669621323,1.6953972565091138,1.2291620407895814,0.6553803513478041,0.459901104191174,0.47003378073816654,0.3781398320611371,0.4317603016354484,0.37971601167679464,0.3553595847692369,0.40808178710915144,0.428746818975671,0.4657550424814691,0.6205379598035398,0.6550918042867173,0.8353485287646591,0.9418289246997799,0.8463210643977805,0.6857680398590306,0.5167519377182327,0.4977773302196193,0.38352919269332564,0.3427316110649082,0.37041716156445137,0.4033234779338905,0.562738223699351,0.3804177405408078,0.40151097295701227,0.5923053524716787,0.3881060566134758,0.46977958040075196,0.5591479605673121,0.5503350620963717,0.6477000395767114,0.7649431347391463,0.8551252791996637,1.851771107386063,0.9997465588782002,1.3024970551221575,0.7731721677698573,0.8256650299296073,0.8465724419368724,0.7565213787274468,0.8861867442625705,0.8980105114771232,0.8045393563320995,0.8356508869718248,0.9156309533494146,0.6546140495915468,0.5643908724314121,0.6389888853947039,0.6622515384512844,0.5702218956367964,0.5777512397755665,0.759793689767783,0.6433869959435503,0.7404284958838661,0.6549643561531289,0.6812652659649506,0.8126657017918945,0.9302740070710867,0.8035063963129191,0.9009139768078338,0.8483715022516221,1.071902199872378,1.0046769213768219,0.799669715294333,0.8269411772656317,0.8295271367997098,1.621963803757177,1.0077715398246836,1.4818373861703849,0.7755872450749282,0.6986990081980825,0.7004009302730526,0.6865865819891908,0.7084101054722836,0.6897382462518058,0.7860727939186278,0.863017515657297,1.007893393903049,0.9267106792483095,1.1468776003344086,1.325379244892356,1.3647503610345773,1.785856573689166,1.1329540418296502,0.7868421890527201,0.6758108839219557,0.7226307409617083,0.8865364118090511,1.0056431638272354,0.9643908231250555,0.8233950906390058,0.8836132241065757,1.0818869687091834,0.9797152912908083,0.8196259667541187,1.1691534088556588,1.3524860508504652,0.9942363032142447,1.0623266926795614,1.4216668537667403,1.4337877987875383,1.0618459315709254,1.1038530967704439,0.9049266636837388,0.8516681810819975,0.7531190821450638,0.6906598557242368,0.7496341171505757,0.6467684730018768,0.6234289226285009,0.6969374216850618,0.7624347200147595,0.7427133759097665,0.8166477646283028,1.1896582582514912,1.0613804133802136,1.1006925671469558,1.1576928217448479,1.3818328675160194,1.3800727933827157,1.3895548149305201,1.6342278775843901,1.6984413029412297,1.438316053527342,1.3154276369743305,0.9866981284582461,0.8208851381220945,1.4012777853289995,1.546524835311573,1.745128697780688,1.8540383793035509,1.2875901571027488,1.0319221648221892,0.816837853461021,0.6890980920834897,0.6349884004170319,0.5312422550074936,0.6054683184330758,1.4361847142644997,0.6065288119467275,0.6417575704775339,0.7978481849175006,0.825837419632758,0.625192120542337,0.8221347030489432,1.4150786851310984,2.125020143617634,2.8046250683839173,2.4131126451292078],[0.6304196101578048,0.46725416722521024,0.5826997127414418,0.4116414417492238,0.6810429880746519,0.418099434740912,0.3274871623175915,0.37717590634383097,0.39627008864782015,0.37189578759306796,0.3927132638500883,0.4619627102757619,0.3949339178899245,0.39997677942642024,0.4797153922696301,0.4336671442800819,0.48019807470918713,0.5065545308277624,0.6365112751948052,0.5783522285348854,0.6704998313683835,0.7019369400726597,0.7891964017771818,0.9041698071320778,0.8376759880981306,0.7646768347725392,0.6290949322828842,0.5340482282590648,0.46384223800200364,0.4428700918844139,0.5400301075045655,0.4824731244036765,0.6145493829093971,0.5750059444578426,0.4904772374256433,0.4628175065188168,0.4499590075102671,0.47837725230100664,0.5107588834064535,0.5275288747142487,0.6639838859807822,0.6084616198394005,0.6300212300844484,0.7806208307381441,0.9686532036262654,1.407836079539792,1.6165779541628307,0.8989845173981234,1.2108111236268388,1.657996333654563,1.0785723889739638,1.2775656938075852,0.9509833870354726,0.8823553372853296,1.2334633536717772,0.721815098871065,0.674929920925645,0.7540596082027259,0.7729437532534361,0.9213750049859035,0.7006201251222658,0.6831240464217071,0.6656730117104761,0.8111698831527367,0.7021692626933486,0.6241199078111025,0.8284483693447787,0.6213791953172242,0.788072763076973,0.7597450492934456,0.8542187756553883,1.09780289055452,0.9541541395986305,0.9742435932071676,0.6831452015838493,1.0991042724365647,0.5855592663160178,0.5943068543025573,0.5152975172114359,0.5664422075369199,0.47791692503652955,0.6965150864955327,0.7626352537545209,0.5496863641826487,0.7011775972951271,0.4988370672366818,0.4891515713818105,0.5534461633481835,0.4791609155388663,0.5566223150720359,0.5858169477860806,0.8803159703247532,0.740576741526176,0.6676729891726647,0.6033985051906433,0.7382436947947325,0.708599104279996,0.5715778902401351,0.5525795277572173,0.8006639412401623,0.5376390484108903,0.6732818685526464,0.5055673028427862,0.5243029921366181,0.564390381277994,0.5518051090240538,0.6783614264820549,0.7825469848931955,0.8012760732826393,0.744570811178191,0.5634931895309351,0.43722273800461875,0.35305071781400016,0.4270341383272505,0.3946749531230246,0.48000804031295413,0.5529288301819746,0.5531768360287802,0.7765940593303052,0.596251816382291,0.5865212386308571,0.5119966075732527,0.5055459225776764,0.4383313954413233,0.42217729100402046,0.4946707104791621,0.5102160342992953,0.5284736749787895,0.5736709210336862,0.5353346467653897,0.7526778683012496,0.7589843500530107,0.7168609221732561,0.6058112044316137,0.6833242605682217,0.6402464280106348,0.8118572027967231,0.6595467866644509,0.5019871727665224,0.5130819522517442,0.6577760391270763,0.721829837908247,0.6332715323818177,0.6021319562498091,0.6097463425536114,0.47798068054157206,0.4503856841252392,0.4363421524119313,0.3788512936860569,0.43121567733962585,0.5046405153972675,0.6570010254232045,1.086533832839287,1.7452977794752722,1.2741082059918223,0.6819453927969202,0.5101655254230597,0.5068908017378662,0.4486335857579166,0.47049218691323585,0.45667631781292034,0.45161645883012036,0.5069714918846195,0.5292530552800665,0.5598968824759605,0.6944074468630347,0.7427524782176242,0.9211296554532471,1.0146517684896923,0.9272753803204581,0.7763764150710218,0.6150225639558263,0.586931564461799,0.47755601963989347,0.42697340775283754,0.4433893840501122,0.47430610034258697,0.581518318908035,0.4469417482560462,0.4615335446058378,0.6409827411240556,0.4581121487238512,0.5479350316135504,0.6130739546742208,0.6137564189569408,0.6974201721045725,0.8109362531836283,0.9232601109778747,1.902192961058652,1.088030736353365,1.4225665823690161,0.839830706084649,0.8833427163092717,0.8897646999508052,0.8245831604277309,0.979289409674401,0.9829695351292254,0.8685216641053489,0.8975008815393476,0.9864108496161486,0.6946151464043451,0.5800709882184805,0.6722535866988908,0.6820171476678073,0.5632806667068444,0.5656359395117504,0.760113868988704,0.6308053083304608,0.7043308383636643,0.6451216014590843,0.6717200497534531,0.8006095799117414,0.919373948431368,0.8113085995860092,0.9110386338282669,0.8331353162804348,1.0708784210395104,0.9773972242018311,0.788856100610805,0.8078159123826275,0.8192501473418308,1.572298820109989,0.9990767618729289,1.4608756494788209,0.7702461629865871,0.6726055733918936,0.6770192257591917,0.6822798581142014,0.7016764769491173,0.6889975733416163,0.7944745949902834,0.9085017505823016,1.0391663488836838,0.9763359325329068,1.2437866048074266,1.4201014039068864,1.4228518228047173,1.888589262821347,1.1715670427932587,0.853827617914747,0.7146325913025562,0.7034269411874029,0.8666706534417415,0.9420768252719853,0.9397739073586123,0.7872379758382032,0.8272017112642165,1.0251403648301618,0.9312544706951926,0.7689950809838006,1.100387253996692,1.2842277539201838,0.9436118515498623,1.002647734843765,1.3576313204490011,1.379824269799932,1.0207355455579146,1.053734280418766,0.8595586806450339,0.7955133589464259,0.7010824937466341,0.6484693113822201,0.7112986260058209,0.6248064180963255,0.610381288946331,0.6920884881001024,0.7597704730059403,0.7619642260301315,0.8458019559362085,1.2027970893914839,1.0721557231794032,1.1339152125571574,1.1922291831507803,1.4062930139597953,1.3967872938714578,1.3757058732335277,1.657188809217878,1.6802185040079978,1.3908452949600796,1.2452090496846173,0.9456567223305338,0.7696779014103741,1.2770030186322212,1.4775018750849362,1.7158274570227245,1.8648942438410279,1.312296354071278,1.050514824045151,0.8656476053852571,0.719641359200677,0.6200710633552761,0.5398437963973488,0.5919059731840797,1.454123433108749,0.6151552952741202,0.6334320830728137,0.7797331974569843,0.8537063895944503,0.6180044627086855,0.8219681379664253,1.4368055967693296,2.1717565832985906,2.794796381940351,2.4528127248979126],[0.8424837727956702,0.5611891099818772,0.5523760920567959,0.4065807414378856,0.605598576735038,0.43617382887788864,0.33158633295380613,0.3980536158636289,0.3861332376058239,0.3501747250303444,0.3833141640774178,0.465208028486085,0.38349083500989356,0.3873602614397694,0.489400201722841,0.4438960879123524,0.4570879828674959,0.48481123573747675,0.6250895385965818,0.5439753832427724,0.6477911173202923,0.6687602513038091,0.7326617701155069,0.8294495870838894,0.7295994083349953,0.6879620793192076,0.5485502161847736,0.46542048108223955,0.42986761845070487,0.43251382661298443,0.5593421363110657,0.5034772587979613,0.6620068546064797,0.616363882161223,0.5161607864503084,0.45002017494163593,0.45619864353302,0.4403969411945474,0.4389495166735385,0.45412960358266696,0.6017468478138733,0.5498632353167744,0.5575286552874347,0.6854296998514362,0.8880432654727071,1.3172795330061744,1.482445927020911,0.7842220080933594,1.156537455594185,1.5335960073111548,0.9413636988602343,1.1188042795127096,0.8205833554943812,0.7467425963971108,1.1469737647545053,0.6635571189366297,0.569346557015152,0.7285741938999015,0.7872627532452074,0.8465118343622693,0.6572605972994283,0.6782470694644454,0.6848184884536006,0.808216731532123,0.684733785156089,0.6191613838570965,0.8209207613102173,0.6361387459087876,0.8043006677514648,0.7610260130119656,0.8558133942448182,1.1247646457651472,0.9689753707356406,0.9766360228980534,0.7091667728283575,1.1283336561851995,0.6105369029529898,0.6441464372270572,0.5476482630409535,0.5556690704731213,0.4729691575175262,0.5644461114154201,0.8613323404485903,0.4886101586642043,0.6107049973144489,0.4410660584827595,0.4438038372077952,0.5516142121918025,0.4712497082255763,0.588788730075958,0.6156174741591061,0.9083264556943728,0.7743332011126319,0.711546020191148,0.6369770522787022,0.7777761277474832,0.7388605353203163,0.6147898846213687,0.5872633527248895,0.8475042046433316,0.5854702803241186,0.7179930558780366,0.5235577396984898,0.5550624230236314,0.5274238478768278,0.48557212089854906,0.6168929934098469,0.6472232915795132,0.6905662918673291,0.7031438982250516,0.46022150034863973,0.37538270140493174,0.3360423855963417,0.3696832375354291,0.3535773381320872,0.4151310531133521,0.4858233495610093,0.49065567620475253,0.7361080376816949,0.5791651121924198,0.5473926939661723,0.45500135199569663,0.47816923688850355,0.40724705867379857,0.390333790231945,0.4426966042180445,0.45181824432298884,0.45336230368934094,0.46825232355822266,0.4466041364121636,0.6048357477217305,0.609188374698041,0.5514859838767513,0.4981827449402926,0.5459578231416616,0.5397361893651874,0.7110715637990651,0.5352371293822623,0.4269710164031889,0.433899377631469,0.6151093326883643,0.6921228750017246,0.5906694520816645,0.5340029328017128,0.506288091765575,0.419740135273365,0.38602511016417534,0.3951507497795323,0.35401939183478576,0.4347281631020191,0.5437996829502594,0.7367059845259932,1.1794487764531922,1.8384534439981248,1.3515515244564735,0.7699285511916787,0.5639605567999497,0.5711592138226875,0.45063172665525547,0.47964909802722305,0.3833427515297019,0.4012359263097285,0.4457704173549423,0.46125007855724887,0.4880801400535194,0.6061889287130605,0.5881807923750703,0.765348285738337,0.8572637552652042,0.7858680350426068,0.6390518947099302,0.5058116248371394,0.4809648043713123,0.4127484697129142,0.38399722410022374,0.42105741342429037,0.4584003158870008,0.6089844654184852,0.42020107591598915,0.4352180754435439,0.6777491239063361,0.40151753165630544,0.4379344002302691,0.47127194623114294,0.4639317411267707,0.6266993020250138,0.761827471818684,0.8749741403017265,1.841078442622065,1.0172385906720014,1.2815965660271655,0.7175230704696107,0.7382011974039436,0.7587686776372369,0.6582448358580827,0.7691731257852652,0.8124183142139887,0.7050714062058354,0.7282221098005282,0.8366702675524273,0.5787893024669554,0.5217878529846957,0.5727375948277585,0.5899143774507918,0.5331237603951751,0.5540894271005329,0.7264072723579842,0.6166534138158524,0.743957271121274,0.661387716285339,0.6822483102993023,0.8016323570286888,0.9023530194987149,0.825046774456234,0.89545423630016,0.839589708140935,1.0584201546261418,0.9401862787832989,0.7772898289949598,0.8189347679876819,0.800099848167431,1.7281615173025657,0.9845591063461687,1.4851591961208195,0.7771410451161106,0.6870605986360511,0.6919858924222704,0.6451932169873762,0.6556937983929539,0.6196328325528798,0.7052301321736534,0.7617401963325103,0.8989100492042211,0.7940101887380526,1.0731771901239133,1.220207951915784,1.2634584886114764,1.7155317848928486,1.006300410074463,0.7045059756141886,0.6381188686929207,0.7178150102502124,0.9299836144058254,1.0178057339224997,1.0172566344409415,0.8482474442934814,0.906008366499427,1.118398704538619,1.0044498335702052,0.8164881834977425,1.1631136720487325,1.3293232293677255,0.9776883741627058,1.0504570207661204,1.394890784052183,1.3669417685806975,1.039003316940799,1.07819199870224,0.8969925449307584,0.8511996376087144,0.7681099037963102,0.7122475378686957,0.7483887870276174,0.6518102317222817,0.6166093520925622,0.6646186610565026,0.732827009890679,0.6846531475207743,0.742894134944274,1.08253480107173,0.9689095320273404,0.9880377193818183,1.0397466449117045,1.275018766743439,1.250913334984718,1.2419318141305837,1.4966921417222416,1.5649106683705492,1.3097332577482463,1.1697086204220162,0.9010127542660056,0.7648455578914637,1.2164204959389153,1.3503097422835977,1.5574694606022932,1.7121930893048538,1.176099658050481,0.9327695072463473,0.7099998609576188,0.6126634925183655,0.535352758814506,0.5028326283006854,0.6047902461869297,1.5377154701666453,0.5667408469089925,0.6323164511862487,0.7789692574030334,0.8614104974142136,0.6459838315389294,0.8419447377715201,1.5371388796349257,2.4587993026112747,3.214891338620093,2.880690769831996],[0.7459097883625102,0.5561530694770882,0.6123503368344394,0.5039000289506084,0.7250509880234305,0.5100469041027148,0.45032749462914134,0.5063847927192522,0.5212726700269805,0.5722107231646673,0.6156297754261919,0.6475312821029188,0.6266991121545994,0.6566118526976926,0.7509047217372262,0.7060540185717019,0.7217724543980472,0.7614735290739436,0.9087671350205344,0.8150341679596856,0.9367079145626245,0.9498612310702339,0.9956649554082868,1.1126286441462712,1.011362472420887,0.9654313480190564,0.8521503485688544,0.7823437057724894,0.725966877213923,0.695497807727083,0.8044608060354238,0.7213877168151523,0.8622497186808096,0.8703495405369752,0.7576953367439153,0.7204516509766096,0.6888541338631718,0.7368241661842044,0.737250201747151,0.7399635025789791,0.8734398790691884,0.8328513964620695,0.8557291208345206,0.9719873612617522,1.1220756713817217,1.4907361313363707,1.670940268760621,1.0638018454152645,1.3010033530753926,1.7323402050203964,1.1924521319147687,1.3892393254771722,1.0587539856397141,0.9991510542313424,1.278930594478104,0.9085509323384635,0.8596265449933991,0.9614868847048118,0.9683950910497054,1.0666172454607372,0.912446752201752,0.9481083883559486,0.9531109329637111,1.0754290689810937,0.9703676289382535,0.9113511548794159,1.0661414984428168,0.8917685577163813,1.024778563523857,0.9905714766483608,1.0922040328598999,1.3164833541477754,1.1967333072314181,1.226267667973364,0.9858005348933832,1.382313749431173,0.9030984775056301,0.9161633359373347,0.8273928624428637,0.8144469908880199,0.731410428013684,0.8133803244750789,1.0226211314608107,0.7076569194205246,0.8375526778869307,0.702475116235088,0.7454271732018319,0.7768500206281708,0.7449750526759735,0.8287857765334502,0.8758364265501696,1.117891358828779,1.0099234833177602,0.955005806167093,0.8746157408414527,1.0095720975381515,0.9509039219541978,0.8164878261305631,0.751407760700965,0.9562339301206085,0.7515505745485583,0.8438980169272752,0.6795913352871331,0.6787705954053861,0.6766464738593969,0.6431559237219914,0.7338009632373453,0.7956045158642939,0.8079084121017638,0.7659729414468129,0.5852621096011474,0.5399952918069792,0.510765397253617,0.5835542327133607,0.6166113225775248,0.7057656404865308,0.7764064182873569,0.8244185954639286,1.0291061682588774,0.850815304487501,0.8498270234872702,0.7326652936013325,0.7683207603666214,0.6754537880906565,0.6071750408019023,0.6314748683500404,0.5872493379570999,0.607836020450964,0.6310698157563864,0.6278625754504097,0.8002215714640807,0.785192906084841,0.7667060609580076,0.6637624304075278,0.7576599971418895,0.7464721945364727,0.8746091749249996,0.783018306409983,0.7269026870818339,0.7456813959880748,0.9184525274922625,1.0143897715797678,0.9119814542277991,0.8243041673993714,0.8109060361958665,0.7096714183336713,0.6661718241373933,0.6269413185776964,0.56297102915709,0.5925562126797332,0.6364744859605092,0.8083226671608985,1.238551215745182,1.8627473091922124,1.4145110262090144,0.8731436001851919,0.7082909273871845,0.6790387051527957,0.643226462036611,0.6233577713199238,0.6103667999781346,0.6613196701368956,0.7162196047379144,0.7193776573071425,0.7586657695605075,0.9044897847816228,0.8677964864182224,1.0381021312034415,1.0838783637333542,1.0202507838784218,0.8789090386952367,0.7782338167960924,0.7262005300853105,0.6437486526110507,0.6138606373425398,0.6240228345147072,0.6555323108012706,0.7669763164488318,0.6406141741268545,0.6339621637646942,0.8103612298860491,0.5933164085089873,0.6484306795463811,0.6894280418572841,0.7012617385615235,0.8001516909387025,0.9241393921737113,1.065852327190571,1.9911841648686461,1.2303362501621058,1.5282739972768233,0.9080253644586948,0.9569440440083179,0.9560676558723399,0.8981028613015664,1.0421782906160302,1.0499821294857474,0.9039749837314509,0.9229155032315695,0.9823682188852243,0.7122409298227835,0.6136613252275485,0.6891513567644737,0.70189074333307,0.594424637928164,0.6000108578557689,0.7884455112379831,0.6589565381315301,0.7434736347323304,0.6727365970302885,0.708020999743179,0.8227153493946622,0.9241496646336638,0.8291297792369259,0.9262989684505847,0.8817025928832944,1.1126182970948633,1.0341302205086078,0.8265210398359747,0.843647283810418,0.8592921111159179,1.672308442949257,1.0126175941165267,1.4698379800575405,0.7848556418058503,0.7116453002033376,0.7270951913159107,0.7139979061161347,0.7270175801739008,0.7159940542868379,0.8318004960357033,0.9184656038496937,1.0394664987985305,0.9819310375585927,1.2443926935549612,1.4192316188123542,1.430855301301883,1.8815608873887888,1.1717453210297066,0.8647794959323771,0.7607090060444578,0.7651808039760979,0.9463341709510882,1.0101023844429022,1.024081084896306,0.8697131011969036,0.9081781323601393,1.129730329132909,1.0174180191487485,0.8293422469908246,1.1839380501587862,1.3603024228503304,0.9940811391710505,1.0675706841216188,1.4354059125891792,1.4232614178382585,1.0553517682013611,1.1062270572753252,0.9012286993908858,0.8531146783048221,0.7641748769404613,0.7032041951186365,0.7563405028030421,0.6600557271638725,0.6438976781578544,0.7122504872004377,0.7843388403064641,0.7798895466298563,0.8565715640934414,1.2203774581611213,1.099416670517045,1.138484453767062,1.210248527325941,1.4374707280621448,1.430575750951473,1.416742087207453,1.7165167420291554,1.7498076685871407,1.4673905397316591,1.3052057536238864,0.9888262313402962,0.819805366426166,1.3211167001055057,1.5038274594163978,1.7526410813887199,1.876709796502084,1.316095361115677,1.0599197313540134,0.8738571967123241,0.7535796767926745,0.6388759394259953,0.5983375998017311,0.6564908506200403,1.5168490326493342,0.6560917005675918,0.6698946213558877,0.8112975340425036,0.9162717803580981,0.6636666147609637,0.8452660642044274,1.5113182508358636,2.3794778398039784,3.136992204024575,2.7581373659536754],[0.7690315584626563,0.602522308781515,0.6530674954871708,0.45443461887998315,0.7175620016374915,0.4646048458527027,0.34830115245971793,0.3851476435082821,0.3801739169440726,0.33942820040231475,0.3889900058713698,0.46070183860784913,0.3683219946070111,0.3791722538886045,0.48695290832208404,0.4318188497742236,0.45481904061696166,0.49598976511707055,0.6435040756178346,0.5757237928147411,0.6824510900755897,0.7001860270047044,0.7844950857388592,0.9000059454982994,0.8007295373406788,0.7431889924200609,0.6003702778832738,0.5107707767511667,0.4471357897767299,0.42139153008434604,0.5569082717936449,0.49009042473856285,0.6502316728399044,0.6087002476381977,0.496767556779723,0.4476316746041958,0.4334652354535554,0.4599845133995736,0.4673146138327636,0.48260938325156205,0.6308422035388329,0.5878893849422134,0.5998899122940384,0.74579039289381,0.9383160196344688,1.3690133295602644,1.5595480470024146,0.8564999536939494,1.180478317905976,1.5969686875512326,0.9978086407208487,1.1921810529707266,0.8772147618105763,0.8031704918012618,1.1703448960575042,0.6754781444019623,0.6241291156298087,0.7138883059228257,0.7700547520314721,0.8629006041329491,0.6792494713958176,0.7032575678585442,0.6953223114121883,0.8289825210135138,0.7052522755368266,0.6409663535081396,0.8422867916937883,0.6406191138739917,0.8204019939877041,0.782602418192271,0.886109603457301,1.1581395866295265,1.0205004726564604,1.0173456010299609,0.7295752455811618,1.1344695793737547,0.6173845237665134,0.6452919436422765,0.5354314421448567,0.5534949427484006,0.4549366315046785,0.6279986793287328,0.7989968198080204,0.4979395424372407,0.6507765206878082,0.4666102695550139,0.46078450267607685,0.5280598503332021,0.4704557455391605,0.5822695964496106,0.6194709110362743,0.9378299673983757,0.7916169007710622,0.7179382799793852,0.634447073554654,0.7849131427090071,0.735575500170025,0.6145219099649998,0.590737704244332,0.8478453503757671,0.5660246363415763,0.713774035382496,0.5132268255971172,0.5312479529867161,0.5480725124532465,0.5304879446917433,0.6760817432367617,0.7444479341619007,0.7837375770758122,0.72932911015624,0.5657118170271789,0.42190215664208197,0.3361702589858855,0.38771464188496985,0.36289271920552063,0.43840847131580085,0.5303291018567518,0.5232468736045646,0.7663214307396309,0.5931264203590109,0.5744036460253396,0.478518476319651,0.4910447729914998,0.41190864916987735,0.38016926617061647,0.4802323481422076,0.5116177877577661,0.5193318692501938,0.5524067526722727,0.5129940567377109,0.718054008610085,0.7358080758622975,0.6775982963039993,0.5642971790095935,0.6378093166239882,0.6024197099144737,0.7721490366893328,0.6146350146864943,0.4632268784125432,0.46848102362027266,0.6331327626276951,0.7045491911120534,0.6188045788236514,0.5569281982011474,0.5574597691455263,0.4522190543380147,0.41599323963900603,0.4118581179947673,0.34928177025928925,0.4188441948677889,0.5246177585244485,0.6898296651948101,1.1853289135538099,1.7709928640213257,1.2849762072921038,0.7491048671058879,0.5415558771034344,0.5442151438790791,0.43231423052075535,0.49243650467522687,0.4098099523453803,0.4115228420269951,0.4671359617262648,0.48695901464239444,0.5164443784195865,0.6543978425095207,0.6924222043547443,0.8752226204048189,0.9856989093009401,0.8886900329436547,0.7223558780462811,0.5667624497985827,0.5352971088265794,0.4292787694348687,0.3917029744158394,0.4145384213648491,0.4525433079018749,0.6092385632116913,0.43229037942393883,0.4327522794414647,0.650500347582857,0.4175680146588799,0.4804247945730141,0.5506588516292924,0.5553509773545394,0.6587453765012673,0.7818524375291329,0.892333870783801,1.8845833364197233,1.0447003796494534,1.3580542116585916,0.7860833793745925,0.8592157636430643,0.8770907327862605,0.7843841262323047,0.9173977867966459,0.9322692725885388,0.8361252038885199,0.8704906761719395,0.9438913171115138,0.702632652576289,0.6257831861520675,0.685421994460206,0.7186626134351257,0.6293881630936817,0.6365965621497098,0.8184288886178731,0.7060161181164952,0.8011011365185394,0.7082410230324379,0.7431198608102452,0.8599166430733803,0.9526309630456085,0.8412769082065309,0.9441304141128156,0.9247948533225326,1.134494961195257,1.0974923512458536,0.8706247247910115,0.89384057417415,0.9108643631055787,1.691055874684693,1.064096650957599,1.512716326654622,0.8336229227363486,0.7749039784823245,0.7745002825318573,0.7505064990311606,0.7666879604468892,0.7503378818101943,0.834876690297479,0.9139866061619196,1.0615175953106275,0.9750905879092028,1.195061095230956,1.374006746271921,1.4214228333255983,1.8221700757048775,1.1783752340393965,0.8121727959973127,0.7111413010746774,0.7775341045255545,0.938475753524934,1.0746351149352271,1.036266638986234,0.888412540361662,0.9666476404491122,1.181983752506395,1.057399884918814,0.8888154490452921,1.2540650507440618,1.4276167425921977,1.054034706141835,1.1384649046487343,1.505869221583073,1.486788590752634,1.1122043517229163,1.1719306726421352,0.9730901984033132,0.9309972329829851,0.8339102998890451,0.7698160735043605,0.8275310434645127,0.7179991936062878,0.6882844118429867,0.7692575041727449,0.8339642262403011,0.8055001068861152,0.8808821909999578,1.248293547586055,1.1313960788032245,1.1668403050232814,1.227356187165627,1.462265913299723,1.4598262603735253,1.4701205446499714,1.7427194703438305,1.8029018691040533,1.5425487062696652,1.4109209626292614,1.0646793574604856,0.8968856069475871,1.4684144779193853,1.6116946819519515,1.8227919345773338,1.906878696532344,1.3343429170664352,1.0692929020397643,0.8490323640207111,0.7313305183705492,0.6855423709663873,0.5943357731761603,0.6830217665698045,1.4949751839232308,0.6592739866271065,0.6963607409701125,0.8557238565887858,0.8256062875087734,0.6919582809435317,0.8759514774910627,1.4503969059933297,2.25668734399766,3.0836426538807657,2.6343323818469457],[0.577624851302875,0.4933493562593842,0.6246541838083379,0.44860412841842784,0.7404916086472554,0.43471470849275906,0.3327736679077835,0.3498247169813002,0.38101128238649046,0.3897793655460049,0.4197320304239275,0.4670580475626329,0.4056998221396278,0.4497139962609031,0.5382618056163706,0.47011248091027613,0.5339796460261758,0.5708567479686701,0.7460596712042086,0.6588567254145201,0.7630577282794045,0.771898229131035,0.8715349755847434,1.01458148679091,0.9413294448305813,0.8620491264210353,0.7132801861579455,0.6257161694709479,0.5352298638568832,0.4769407169426078,0.5902889827509507,0.5008936673892654,0.6466823008003703,0.6321297445053002,0.5326547952758971,0.5114885660394365,0.4762189734630986,0.5450723307715516,0.5762658220289816,0.5838366074205832,0.7262043236309214,0.6804380708908894,0.7057724011979369,0.8594323587262636,1.0462712241436463,1.479123738215892,1.7088049565285994,0.9993564679197545,1.2496710657971402,1.7166619057287325,1.1638871028387272,1.375635338558584,1.0444678653709893,0.9456460602692788,1.2596584565838143,0.7997724791144928,0.7539222844976728,0.8107171564681682,0.8357993183207071,1.0029103961262011,0.7845805308290613,0.7659319631863882,0.7473826956428529,0.9071152886007661,0.8205797487969988,0.721804194057622,0.9236674755135603,0.7132765693098758,0.8720721495099057,0.8355347592679259,0.9390840453102298,1.1647492687900443,1.0428085141361059,1.0468800201208108,0.7823403704233655,1.1609006298301605,0.6747690288387129,0.6645059046935129,0.5851406781544557,0.6243641933691652,0.5230950548334307,0.7020912756091601,0.8405743745778247,0.5849582073434223,0.7302500981304252,0.5336414997626835,0.5563755129081639,0.5794933277784281,0.5404053234849403,0.6226747838448861,0.6591682492412548,0.939347307342886,0.8240628466241481,0.7393828885351373,0.6641828818443913,0.8122803632064877,0.7844409496158111,0.5957416234033375,0.5344209770165617,0.7989022778276211,0.5153891219362451,0.6714396346210656,0.486963464912289,0.4884074914125505,0.5604527505938952,0.5605426070963021,0.7060874915422893,0.8185585712133346,0.8380116916816155,0.7505199138551459,0.5945972375874098,0.4668274385070513,0.3726216783736258,0.46743821789812773,0.4317231679937317,0.5620566780650458,0.6358940533625904,0.6760492222372297,0.8924467182838584,0.6735833282759245,0.6799605081575855,0.5809214200067633,0.6112185650671348,0.5175289749782263,0.46324715561206836,0.564956644979442,0.537369386878952,0.5691530956099731,0.6197200334839303,0.5839572319130865,0.8290182013234476,0.8370751078755533,0.7985339150348199,0.6561828748276451,0.7532784138986496,0.7048016817773453,0.880733325700044,0.7543817355191829,0.6116248996792432,0.6180481238462954,0.7782831270637134,0.8644811767702734,0.7615447454025958,0.6896259763278022,0.6978057495960144,0.5595215752159555,0.5197470295262857,0.4613921116003125,0.39072806193907805,0.4162431205338338,0.4760110702210207,0.6267011956718013,1.1107184965416141,1.7361347732143182,1.2766832761105198,0.6944404689059052,0.4919014896797659,0.48295099644082784,0.4248387183055985,0.46485053712382257,0.4773719590405863,0.5005657094474194,0.5839762327694857,0.5950651270480517,0.6248490926919051,0.7950566683373379,0.8317954126246059,1.0320754764311109,1.1282211610018762,1.0274441534107184,0.8641685404307302,0.7009935996206066,0.6425599325012191,0.5157736326984796,0.4605382550037926,0.46130278780716427,0.47653006463885256,0.5747912284461875,0.4797085005812177,0.4574491571094897,0.6692587151351999,0.47508590798769734,0.5750755283667738,0.6761563575522236,0.6706233371568979,0.7168291439094856,0.8190302092932888,0.9448552995645813,1.9378114441242564,1.155648184883579,1.5063692162314917,0.9026253939689641,0.9934944665196271,0.9891558039816213,0.9263213632108899,1.0955535125447808,1.0790532734143674,0.960062935393822,0.9963057265041043,1.0344388071208221,0.7526111767795952,0.6038728576049399,0.7108773249686878,0.7510832709478582,0.6123291612104688,0.5946554843965326,0.8106149780590635,0.6876048119062713,0.7370542711829451,0.6628429869158735,0.6978966109121935,0.8317450069739404,0.9510748380123449,0.8143157236758793,0.9390994204880351,0.8829594708245501,1.123742907515171,1.075378428269266,0.8666220605924426,0.8656806192266928,0.9163169405841557,1.5978478234033207,1.0650598511926603,1.4460014662385947,0.8145984294491452,0.7282708974906211,0.726961705849696,0.7419117404788744,0.7894575224978354,0.768292129685964,0.8617462813575077,0.9910846645244775,1.138335381062813,1.0842420874608454,1.3263351666239998,1.5531992069970484,1.561909876438859,1.9795854785103595,1.2909380480751549,0.9088331879488104,0.7527629845277488,0.7258312020137989,0.8580003977151369,0.9789593542886627,0.9178372499523213,0.7900244835117657,0.8605133079365138,1.0569402960334344,0.9455296466954056,0.802268394614859,1.1601441724598294,1.3502940774849166,0.9896344898496278,1.0709357571040568,1.4496999309368566,1.4718619604010048,1.086638207855607,1.1379845357427187,0.9221111127880943,0.8589566889035661,0.7458506348168563,0.6910509768190675,0.7719274984307133,0.6694161198116976,0.6600096636972683,0.7699904883422806,0.8306478083201767,0.8470892138635779,0.9410685972037135,1.3214457986736194,1.1976489097136198,1.2715091991493987,1.3427020848481601,1.56390339814098,1.5615634302317738,1.5415270757070785,1.8420566607511757,1.8607269526966994,1.5504336395250071,1.4119428001432872,1.0644500580251417,0.8501650036534787,1.4448069038342484,1.6450116685458203,1.8944854893065566,1.9978600695872675,1.4169907095548036,1.1331645361887754,0.9491563211218345,0.7778027196871387,0.673616365116115,0.5458416235761403,0.6066489714856521,1.4121060042348448,0.6213894986792842,0.6367733131969652,0.8017293039075237,0.841853385499382,0.6207872229843665,0.8318736944750469,1.4078920446979806,2.1176485608931426,2.837379863989426,2.5258495153289964],[0.5874581995530045,0.6045835685594192,0.7513531933318837,0.5198288616420756,0.8281115229421998,0.5202854937954995,0.4229679421358763,0.4516267599326238,0.4596977885795063,0.38379361415210494,0.39278620195869285,0.4691869392525364,0.39583071332230446,0.37533607475897757,0.4568822167682247,0.4210672622070165,0.45406673434107675,0.48143834554897047,0.5880307613327845,0.5658829415020408,0.6244902457814152,0.6687948816661953,0.7428244906451368,0.8956515121861335,0.8369982298713986,0.7300105479500805,0.6371101935632392,0.5418204564694357,0.4695206621240652,0.4328407942761664,0.48642351969329145,0.4541993079166138,0.5321230319983241,0.4892126463530454,0.446357842265995,0.4345697911856978,0.45183587799401165,0.5024569365605288,0.5433436537565038,0.5770291663674705,0.7038695741895225,0.6220290634169897,0.6417742392209776,0.8105243383687892,0.9995391443806442,1.4491654295240775,1.644684694775008,0.9351009865936047,1.255931496324045,1.6903586375130972,1.096330390415084,1.2815145892143787,1.0043016506818698,0.9288229164916951,1.2895279181856403,0.7618195863146697,0.6940302799392845,0.7578955093525743,0.8013309634625089,0.9080915042116537,0.6833025513593171,0.6403551012487076,0.6032379043530435,0.746193764680347,0.6431479528414319,0.5821304566444293,0.7781576371167239,0.578806790748109,0.7368568033471694,0.7176786558520205,0.8333476564633313,1.0829852718483797,0.936431907992474,0.906356746647375,0.6369185054640757,1.0073692729466515,0.5368151724073688,0.5317898014591944,0.4662670382862234,0.5465207636471443,0.48702650711456,0.7559554299203306,0.7648382845586734,0.6323392039692268,0.7462385703141584,0.5596043741625246,0.5143667920285391,0.5299016497296458,0.4420477334421809,0.5019634948910324,0.5291055131809875,0.8177013750966754,0.6678055083567482,0.5756335443190258,0.5228334313235911,0.6558368356451136,0.6319728385924355,0.5205706609685145,0.5390257510667844,0.8011777731333181,0.5220048416650477,0.6699815909459753,0.5214730350000094,0.549615768956218,0.6300499631870013,0.6443268372186528,0.8001348936272308,0.9013717739297292,0.924609516025038,0.7875698990488993,0.7190313840474025,0.5726679220486511,0.44799658029031014,0.5224086224069916,0.42863007731832437,0.5076462342301903,0.5735059121429661,0.5410984915871004,0.7429994481558436,0.5658825823739063,0.5488016417241397,0.4930982640459356,0.4924417241351845,0.46276793053858595,0.4726274385521228,0.609284929649276,0.6207668521350989,0.634767574501345,0.6918182862542048,0.6435318886760517,0.8733888557798934,0.9032676313210396,0.8502196351269607,0.7254394809564184,0.7809492897374022,0.7151544219555591,0.894086951473063,0.7106168316853982,0.5278705456475569,0.5281322313931075,0.6445601746170936,0.6750526036816397,0.5842133360037308,0.5825547686216439,0.656789441876373,0.5075650305109988,0.48706566008635516,0.4823915899878408,0.4437431841989301,0.4826068819806421,0.5542292516896342,0.6232373274300761,1.1056241150891568,1.6605059225818815,1.1962329575649535,0.6727518460934259,0.5079638611064525,0.5281692257202266,0.46761994297306464,0.553297234354309,0.5224282989227141,0.4901013305088821,0.5323310848455248,0.5590431786637258,0.5805781187831144,0.6983091310989683,0.8024565778716799,0.9859339336148327,1.0900696395602592,0.9864578435788466,0.8290138471041789,0.6605034959885504,0.6454547461212139,0.5269845936469001,0.495300887577417,0.5001749065257569,0.5151226474645035,0.6629048783869812,0.5219688505002426,0.5425836686033028,0.6414498051622324,0.5355961659725524,0.640458477154239,0.7417796290839586,0.7360399974967384,0.7837641830845272,0.860241095494362,0.9540004255736385,1.897250587444141,1.0912410067575726,1.3996033442049656,0.9111971241354295,0.9741440693795596,0.9987496598265635,0.9410860255327824,1.0886095146227073,1.0720331303001027,0.9919842524509747,1.0268300397968932,1.077760565159195,0.844530887621207,0.715618429963765,0.8089378288721821,0.8401782067728302,0.7330302167754768,0.7219789505092412,0.9173091031393833,0.7915980540746648,0.8328592277441179,0.7634741490500138,0.8019524049636878,0.9121812255555043,1.0241395329466423,0.8798934102951443,0.9855594462951887,0.944693093220317,1.1725088386885403,1.1429641894593443,0.939719174859201,0.9431376196694001,0.9836118074103656,1.6003061745584675,1.1310581446112191,1.5230676772010892,0.9136955628406935,0.8502077582456063,0.8334537018325411,0.8332018964714377,0.9093532659445047,0.8699525108259415,0.9274716295611644,1.0620805199876786,1.1981625183237636,1.1288877621123152,1.3107449236520345,1.5313629060250522,1.5643300759298173,1.9463867145829183,1.3343122748973253,0.9658478914891204,0.8111015461831967,0.8042213965866408,0.9061457178328685,1.058394156719476,0.9744807655148205,0.8709908728989553,0.9303496792256142,1.1225395324552951,1.0180219830850803,0.8917223974877048,1.2235954817607115,1.4071162274765838,1.0661062964396206,1.1433238629782803,1.4956257024545916,1.5342358786803882,1.1611731894619313,1.209435577406317,1.0039387635801456,0.9561885689509748,0.8411704582963985,0.7944036245098682,0.8738413234648553,0.7732405092278135,0.7618901116204564,0.8603964837990994,0.911062961273979,0.9162553247422859,1.0054931592315628,1.3468742925717754,1.2372952919535867,1.3130999467558906,1.3603568685183305,1.5988911112194721,1.5918716353631803,1.6016986797638029,1.8579407181334608,1.9219995036599902,1.6159094368491,1.5229664126299884,1.1659902765692616,0.9805377939824863,1.6191995454071502,1.771434089000923,1.9691295688571921,2.041357839232183,1.4679156147746573,1.1962439427240172,1.002269743763121,0.8476515118400766,0.8142245682333611,0.6929075796341825,0.7228682053830494,1.3641191433126987,0.7363690268887227,0.7524811887128815,0.8963054028023207,0.8587989924750089,0.7416845030831434,0.9137016327950236,1.4620340429457024,2.0519772867593185,2.847193228615522,2.734647165521494],[0.44843932039732737,0.44784109754199053,0.6463282911697242,0.4186317128037271,0.7296056520830112,0.40138115837288396,0.2987676726989836,0.3317563056604649,0.37813616083486623,0.3214314929318029,0.3487555746746869,0.41715072759054334,0.34887990879178554,0.35362975722698914,0.41620361953730006,0.37969182280255176,0.4260942281243164,0.45428824952769137,0.5708469878587294,0.5453743975164534,0.6125948022830732,0.6600013184839094,0.761633239890331,0.902885540349332,0.8597094494545073,0.7315501709691963,0.6250715441983553,0.5170043121620634,0.44030372272081864,0.39593892315605655,0.4535367093663756,0.4026166862083778,0.5000599143442491,0.4640460172695098,0.4232610555913897,0.4190816759795118,0.4136203934460507,0.46998855518735366,0.5273850461134579,0.5625176930623824,0.6793346385296344,0.5999099163600788,0.6425299117972946,0.8014572200893155,1.0091032284725616,1.4512541632378266,1.6809182544903694,0.94666578152861,1.2345936688417405,1.7112911836584521,1.1410836512510745,1.3678773105253605,1.0485671058564907,0.9793497575471506,1.3338134727189852,0.7737026725215954,0.7293236931445372,0.7601947444798949,0.7752471699340558,0.9676131159053489,0.6917167569389966,0.632319484477978,0.5824242583186302,0.7444913751291254,0.6574631365453859,0.5733726624395155,0.7542282035900635,0.5493097940738622,0.7196365077850974,0.706298212736922,0.8190661224540436,1.06054695844646,0.8872164212973689,0.8883870270529102,0.605769583578994,0.9935796522358954,0.507013896805593,0.5041247172712073,0.45062538355560416,0.5292461302871434,0.47623401648051644,0.7944427823119107,0.6962259862857695,0.6460908788204793,0.7510913264916149,0.5428142630534213,0.5021337935488456,0.5103362702106404,0.4271426842917076,0.4900550854565061,0.5049911650648257,0.7766093646888491,0.6442654520915437,0.5376763195179519,0.48687675597104113,0.6304595427966682,0.617894449199868,0.4653495972854023,0.45178226313395975,0.6953773617639513,0.43392104138816834,0.6117881137313916,0.4531377927349127,0.4699522000339134,0.6061519008404267,0.5997008638956117,0.7540148663264238,0.9005642619841,0.9044919597429975,0.7743329966087878,0.6459157471425139,0.4988669988281284,0.35513914978797567,0.4437161577853221,0.36181246819693086,0.46846836167194017,0.5379860074078864,0.5226364401146729,0.7345831890900646,0.5398555407541046,0.5323072314545787,0.46688566795789876,0.46182894804745306,0.4096344212495641,0.39928651281103067,0.5269818412098902,0.5316537871996666,0.5881657126944481,0.6576081961657042,0.6292033299067614,0.8847505949761544,0.8982072947817338,0.8505877931579262,0.7103913342140613,0.7824397542968786,0.7081367851942127,0.8860459916680766,0.7143131190100241,0.5060014590682154,0.5074720846439514,0.6257694215698124,0.6731445838522483,0.5838083326173965,0.5656709210102453,0.6485389552212536,0.4708985925780381,0.4475710732298633,0.4337679201651136,0.37170758641255097,0.39172546120830837,0.4575883148813015,0.559954276876763,0.9837915107307675,1.6199223263904585,1.198309117002965,0.5890256189452265,0.4115221575015916,0.4236898992773136,0.39431379796187693,0.46360735710034173,0.4805256849699229,0.4599270890393259,0.5144491647197906,0.5431552549585361,0.5653122545472061,0.7224374528508426,0.8098525473626843,0.9957121638035088,1.096600381514381,0.9832787557257192,0.8357500759588896,0.6540048429059374,0.6344971980488487,0.5125555843241366,0.45472241746248976,0.45433377281160714,0.46650957822496986,0.5752998878394792,0.46775362203162607,0.4753355547509146,0.6274469726648482,0.5053922387238763,0.6275792055333917,0.7386304300121137,0.7296557554516467,0.7591285247516338,0.8491179295400444,0.96464893404869,1.913251911589174,1.1397165168241445,1.4791736437367453,0.910076365426433,0.9902365869139721,1.0059842770204668,0.9618419414164417,1.1465545771465526,1.1181333343881215,1.0219714223467775,1.0443740542008093,1.114507347335764,0.8219481931492043,0.6613498912217647,0.7769632192877126,0.7904500066323955,0.6412971682176073,0.6117237838435502,0.8021177935926839,0.6839378667891662,0.7052630564861835,0.6709550124777047,0.7012273849514674,0.8387968114320751,0.9766094517514591,0.8652228683623631,0.974039408690238,0.8374287221625413,1.109681000255996,1.0175489305082759,0.8457022275957562,0.8428013032789338,0.886046437445448,1.4399627082232915,1.0761536963352454,1.486523975717446,0.8618963516825512,0.7338768407063238,0.7319981874351928,0.78145591180986,0.8416849980530875,0.8193405950113473,0.9223395581073616,1.0825262064037269,1.2055079150692587,1.1504270150455096,1.3900895396143678,1.6065308016960704,1.580995558297614,2.0261774415010683,1.3148519729895836,0.9903410647703615,0.8253609901258752,0.7339474833061759,0.8144522922100967,0.8787722303054388,0.8478082801674535,0.7479679085495355,0.7660116201222992,0.9133658818558801,0.8611096080515334,0.7296826195798455,1.0154651819083653,1.2063824272375843,0.9153608492369875,0.9600083410817507,1.2964158788237772,1.379430724913464,1.0241872861482213,1.0399672277989456,0.8564675017282588,0.7765944424343081,0.6824133902668406,0.6594818119198784,0.7342538454966036,0.6629529882705026,0.6875998625048503,0.7864036057566628,0.8370739429056042,0.8709588716035694,0.9821715145113098,1.3284264071486265,1.1796000568088278,1.2821987787745548,1.3432642874105825,1.53217437537758,1.5262158571181976,1.493937922810815,1.771414787715135,1.7764189807619688,1.4501035032549696,1.3027260494482626,0.9952577804412532,0.7816823873038147,1.3127153500844388,1.5822594111896668,1.8423194735139539,1.9843757584036101,1.4341000819485141,1.1473010046160923,1.0017996164980323,0.802366206259316,0.6893701720149593,0.597667166609706,0.6057930812019248,1.3445137310984303,0.6707648686927526,0.6502885532667043,0.7801154499628477,0.8740632526275824,0.6161370719930526,0.8700895753841843,1.3691643727685205,1.8972778283415905,2.3282085018981977,2.3753302473081734],[0.4605136739342006,0.494102742267389,0.7460888490656193,0.45793457825937456,0.7943327501370253,0.4476790393122985,0.34812411849595315,0.38711447626795337,0.3995232066999781,0.3252665368425192,0.3545197018342659,0.43035644016975744,0.3471054412826775,0.343208973560577,0.4071831984136811,0.375404919028704,0.41878964958391784,0.4428121000654975,0.5646812203997653,0.5328374250304765,0.6060912781316293,0.6570864868417435,0.7682328362740664,0.9078213530895632,0.8682045766678042,0.7231628898149973,0.6195235879122065,0.5045372399019693,0.43299518252111757,0.38932256884388666,0.4469322951088344,0.40252650803788925,0.4876250673681535,0.4550208837888936,0.41881292394760183,0.4127853716376588,0.4179183865462539,0.4659877349484166,0.5251834612171813,0.569764992680949,0.6871820171558011,0.600973427269143,0.6467670517029157,0.8106654110505308,1.022482522945029,1.46251734929444,1.715943639008086,0.965378615722417,1.220771881364078,1.7247369854389105,1.152961724086597,1.3934418121604557,1.0830763042679634,1.0029658860220543,1.3654143632083666,0.8060586693043313,0.7586263182561225,0.7650938558652649,0.786250733724669,0.9838927135555565,0.6950728947528626,0.6300854267567428,0.5631582978305306,0.7364492164970619,0.6502061185206999,0.5588264856171568,0.7463401797849668,0.5388486512952102,0.7172393445378275,0.7088136093091528,0.8246008780384696,1.0752408606009267,0.8960656166395754,0.8920780570392702,0.6046040992469466,0.9883850898251988,0.49523353143507426,0.4911321766779822,0.4378766577557221,0.5260872890778931,0.4858659223053218,0.8248282440799632,0.6884676594026373,0.6895594029370902,0.7456005563837215,0.5575211952411316,0.5056707515100681,0.5179462995895115,0.41908616072530325,0.4840620837444698,0.493802247006578,0.7712840599303505,0.6338626118195914,0.5233758902458813,0.4764178907788279,0.6205344788745351,0.6050480311505667,0.46380470083127584,0.4641110449443859,0.7038709871664435,0.4422610347095285,0.6283275416271499,0.48285957623711745,0.5089489901490722,0.6570278884015506,0.6611580287604172,0.8519848518662763,0.9778753507403463,0.9871844641136617,0.8547791691252121,0.7516789254379765,0.572703470321017,0.3951503097959737,0.46881410134304397,0.362907632423633,0.46373501845340004,0.5305111596499852,0.5183259155871087,0.7306264561602427,0.5366290746243008,0.5356306798717227,0.4658119741157522,0.4559403688218672,0.40207863338984245,0.392724802970899,0.565618044153123,0.585891618805079,0.6546774076693861,0.7276121691941503,0.7008006975071301,0.9723629585888653,1.0092616518365982,0.9483410792265958,0.8045720008267679,0.8486619229346142,0.7502241614866585,0.9173476155830321,0.7376462552837056,0.5171396560203955,0.5092594558119391,0.6116151683703162,0.6691918098285781,0.5812570558767516,0.5566681410503181,0.6522150787183539,0.4725475856559598,0.45533997698908185,0.4455604613591148,0.40055657945679857,0.3982257882894582,0.4974592854817984,0.5461915942594154,0.976531795903646,1.5753658185359731,1.1471074528308776,0.5910453641770755,0.4281448625018913,0.4588523544835039,0.4095719326877484,0.49542313596497867,0.5175937731036204,0.47239319613612446,0.5346379407424574,0.5657155021192964,0.5948953921730481,0.7621240513604012,0.8497776267918509,1.0397989537429957,1.1505912331982366,1.0041032774877388,0.8662010616915289,0.6736456930646031,0.6719148622099174,0.5495967412453077,0.49075743002335925,0.4873721892003603,0.48931303142252075,0.5947545366963672,0.4987088994962479,0.5244251868006495,0.6496398013114768,0.5658644529527129,0.7097539745184274,0.827486496969057,0.8000059541076188,0.7959215263286833,0.8605312440648175,0.9684492727121415,1.8888676750583067,1.1348120305893201,1.4744909397112431,0.9394083471703063,1.0522935568443228,1.071546128210377,1.0516183216099702,1.2562895478773706,1.2068568269236026,1.1235147130960819,1.1534203030448409,1.196031543081919,0.9459483964766999,0.7781189692721827,0.8858253521842789,0.9217963321130254,0.7793812997293885,0.7368309368744339,0.9241749563579186,0.8256758876467017,0.8300084945046794,0.7839710473485566,0.8156339558178665,0.9535902867816805,1.0839939407635988,0.9529182641293602,1.0633364814017057,0.9431205778340711,1.2278893489612044,1.1900673828803874,0.9972309375293261,0.9780083538576102,1.063282512258965,1.4646997330155023,1.2436259707103436,1.5507765500907142,0.9951873562496577,0.8904104428983355,0.8636194218573379,0.907434320784205,1.0076201346798006,0.9599114014085365,1.0338592613330806,1.2166283754343457,1.3470138396676232,1.2913239282442472,1.4905038028576028,1.764838535075654,1.7489899395415751,2.1284067329428757,1.4588019960150937,1.0979685279210145,0.9139866653622412,0.8070793749276162,0.8527426729269474,0.9886849629892981,0.9053990596727507,0.8114208785055061,0.8611977373507057,0.9845986559493868,0.9345490180329895,0.8383764693097324,1.1150715891990695,1.2965702456932218,1.026126139304106,1.0864419336420252,1.414471296620902,1.5047706478411633,1.1560230894681967,1.1841019978776837,0.9913358339960667,0.9178358606605392,0.8135606371925942,0.8006968948402479,0.884631642453595,0.8076016928517464,0.8365321615280518,0.9504587935213793,0.9843235046813641,1.0172574209506575,1.154120382300062,1.505164405139724,1.3582651913067658,1.4729409274545742,1.5480689902094107,1.7503738766649801,1.744868044512007,1.7137984150246972,2.0043474719175456,2.02971706286357,1.6714314935025367,1.5269460996144344,1.168150392527725,0.9253891340924429,1.533274911922468,1.7869784967481743,2.044728963013288,2.1086130854357816,1.564343674365339,1.2384289923039364,1.1017224235666623,0.8733460514999664,0.8306712093148881,0.7103558518072463,0.7223653253822195,1.324605384542097,0.7731428426081982,0.75289272433548,0.8917604070019435,0.8919394552572536,0.7193857238755675,0.9533810961425769,1.477738889564444,1.9111726808224272,2.5181111420585878,2.9540477738479214],[0.5845721747086513,0.6125125753684143,0.8379725262920945,0.5167729236301504,0.8664589822297329,0.4967523367051245,0.41986734858228775,0.45764685913110464,0.42613654132341994,0.3462503637698018,0.35652555958523774,0.44781313048814486,0.3738481001453406,0.33533423914418914,0.4023305612853718,0.3736453505187238,0.4190110906555957,0.4396437889595716,0.5479981176061766,0.5229224423199637,0.596143693644943,0.6546662943030825,0.752805456956026,0.8969529393291509,0.8545778304418202,0.7076085911247013,0.612342175001327,0.5008274904615941,0.43982220651047865,0.41072186650743336,0.4385826593383174,0.4042528930958492,0.4834677126341695,0.4376407974736524,0.4127614519106697,0.418462563847378,0.4437454446156209,0.4866396111566744,0.5305257330197283,0.5823973707763407,0.7034554341455476,0.6069906487700911,0.6443912405548323,0.8133366056187082,1.0388957991517516,1.4812376363346427,1.7246798713573117,0.9606647835854673,1.2260058850460358,1.7098746479814895,1.120416626979057,1.3757169479197984,1.065730915958648,0.9858842158562342,1.349009753979449,0.7945445680028339,0.7413736281105685,0.748780830656388,0.7810076265445165,0.9892133247885069,0.69629634360676,0.6342869984254184,0.5550171528678686,0.7136926984532621,0.6335911594779849,0.5504774050797994,0.7350277651698489,0.5259825026478936,0.6939917244964185,0.691782561787622,0.8104085862581552,1.0744263664345926,0.8911174722298798,0.8791118818826404,0.5795351233313981,0.9566465247723613,0.47708151321442527,0.47986099437642965,0.430464378991448,0.5432384044218371,0.5014692430656167,0.8511139796671731,0.7019511112166087,0.7336001013752098,0.7538590764117092,0.5914302212372824,0.5218976354028171,0.5521723814691925,0.4158831706588727,0.4691107347811159,0.4717283878208871,0.7607204063625791,0.624490920155539,0.5170834822520264,0.47613880621326227,0.6169862431295461,0.5971445056472802,0.46865412015011787,0.48419691763950656,0.7509745975646372,0.47812818016667213,0.6878134621290277,0.5402247903543108,0.5826896499282694,0.7099822689109393,0.7410759637139398,0.9333835948140456,1.048244404266978,1.0625059070911214,0.9273938724351642,0.8482285289836429,0.6506463510751177,0.4692757130132605,0.5214236007230529,0.39602482736225597,0.4803691295944857,0.5366294454899593,0.5124170405173041,0.7027854822739401,0.5227908091352864,0.5188225296874145,0.45833964817036493,0.4687379785481656,0.4269614826492877,0.42829817760933797,0.6146411098451637,0.6676308613851851,0.7193406780437602,0.8038022598293945,0.7685478104477721,1.0353343440275387,1.0922694031733011,1.0192188974527485,0.87265536823693,0.9062817878783489,0.8006118386755818,0.9570768123744393,0.7628052968652372,0.5428291294864417,0.5266396586416242,0.6189847464709041,0.6596875804752382,0.5586134801581084,0.5533526454067931,0.6658345179145237,0.49364458408855927,0.48229501778757267,0.4785545260230614,0.455726648196953,0.4625397937072021,0.5739202757052297,0.5807744446207079,1.0157093127023593,1.5743307952515813,1.148522341051335,0.6236832061530396,0.47849703841268676,0.5313192664651395,0.47395227662748457,0.5690118882415581,0.5694816016294358,0.5082903853977443,0.5568975246372359,0.594186934279373,0.6271855285186084,0.7829445475556823,0.8906220054229074,1.0790771096222758,1.1820707088042839,1.029190968693417,0.8993150637945714,0.7028852475051699,0.7160167042336467,0.6080943771432402,0.5455412525061784,0.5470088255352996,0.5380249808172881,0.6470868535872395,0.5569201543439918,0.6019613296208298,0.7124348382359811,0.6403366595006835,0.7830836455834714,0.899903720953326,0.8615519275618796,0.8610401048634997,0.9004087838124433,1.0017405280289908,1.9127668715154267,1.1458818396456851,1.4643400108850808,0.9998820300641837,1.093902052682628,1.1199365185428032,1.11107634040667,1.3026765407532104,1.2513730765762532,1.1875810866672576,1.2293565950690977,1.2704644165451118,1.0528788735809396,0.9004117004665684,0.9930650419499947,1.0372737134321464,0.9096879814360295,0.8649581779876915,1.0530922952829025,0.9639812863043051,0.9332885441035927,0.8848046659529056,0.9300661423279469,1.0425104180942708,1.1325670280843705,1.0311643220924058,1.1259196666726767,1.067470081953033,1.288144332804879,1.3384898031526125,1.143301926160392,1.104950142124006,1.215107272266341,1.5530008403536415,1.335306876097759,1.5729345003213644,1.1013570906559167,1.017829691156955,0.9840749629697494,1.0213132565691088,1.1367877856324626,1.0569342003514115,1.101880099515142,1.2837012472273033,1.419779251597959,1.3707821851509385,1.5439060347837825,1.8329205978932945,1.8315078336425805,2.1719737394903027,1.5560524410442917,1.1879326609482308,1.0048602889902494,0.9000018584039985,0.9396359363280367,1.1259808726353366,1.0021909633450228,0.9241438203934531,0.9837886294158313,1.0968068280457166,1.0426793754914585,0.9613022351633108,1.2160034248499245,1.3800147891786703,1.11406436716506,1.1873977916452307,1.5020508716176364,1.579621776395165,1.248108930858893,1.2888553580148778,1.0951429883032155,1.0340012883851675,0.9380923829990969,0.9320352066203093,1.0063765544674266,0.9315635898098995,0.9683896604435529,1.0798333539871159,1.1101152853695115,1.1334135607368825,1.2759577418648926,1.640706388168762,1.4796278741952098,1.5774863935770191,1.6564539444973951,1.8745475648482561,1.8707961986137214,1.845795109284431,2.132697559881965,2.178436965607564,1.8343523847977903,1.6932626401597632,1.3166305491656942,1.075836288276895,1.7158385827130302,1.9198328044591448,2.1563776667685866,2.178632812381764,1.6520843725414092,1.323931694973152,1.1825889376460128,0.9441523076346061,0.972584604237177,0.8365362458215105,0.8291919569148809,1.3011556895073484,0.8741187090427375,0.8425226533967282,0.9630496004168898,0.941700456592566,0.8002117078084978,0.9989279724338608,1.5572682003584415,2.023895628891381,2.800142209076599,3.5068058037472043],[0.5414747937826618,0.6137309473881656,0.848726068156896,0.5086194387296955,0.873657077671547,0.5426506230426175,0.46337316151711105,0.5039283087945483,0.4621566237526331,0.39417179345468234,0.40277068454922976,0.48965615786336436,0.4169138641807074,0.3718745855287985,0.4358442268680859,0.4095891463653294,0.44271895204587663,0.4558696054322027,0.5332455492661736,0.5201933647949868,0.5757377666880829,0.6425464005109963,0.7092238101210212,0.8546927154820164,0.8278953529221391,0.6885832422374009,0.5920552450019629,0.5006254184166785,0.4649993694200783,0.46059479045298274,0.4738558967840745,0.4514449308415139,0.5137991324611816,0.46339725281789546,0.45621001247693893,0.45542303311440324,0.48576132820242557,0.5106678319654123,0.5329348995295065,0.5794639559479672,0.6962221006468456,0.6074217220314427,0.6304155169551731,0.7969785924449024,1.0238504283667613,1.4856947044718962,1.6773865759795097,0.9299796598877421,1.2550579529513766,1.700734175482203,1.070334042473756,1.289470151351315,1.0295833447342595,0.9410496233458063,1.3373795643316735,0.7828702773160848,0.7104107930664215,0.7475463843565108,0.8053234602478101,0.9689249336341108,0.6799171670798767,0.6363056121740317,0.560747477622981,0.6971881740833236,0.6108866027582425,0.5463047406125779,0.7143361566942739,0.5403061149313982,0.6896527905957669,0.7099523053820743,0.8114197047111497,1.0841056412250927,0.912918259990889,0.8672548452176085,0.59764080317944,0.9299095691607948,0.5006282747667794,0.5014085200991986,0.462652841792666,0.5597248701908014,0.5158369593012161,0.8586981130869781,0.7368717929897667,0.7255914760743497,0.7452556677100581,0.6013158539200574,0.5395061736310288,0.5767249337595488,0.44330685905542566,0.4950940635962761,0.5004450732175416,0.7476345669563913,0.6259416305725122,0.5176269679097711,0.4932481380837321,0.610373679684408,0.5961810417879243,0.5039242710782581,0.5314002561595534,0.7729558983968955,0.5141903615774124,0.7117611349812432,0.5832999913804714,0.6088729250893036,0.7328222034760492,0.7611344129896911,0.9332091403951465,1.0294307175319086,1.0502728339716447,0.9268057341939523,0.8640796593316125,0.6706960789229828,0.5055360165436269,0.5493304363573402,0.42120226980970393,0.48509601583497286,0.5422898871733275,0.48574733470658915,0.6643902208632695,0.5259836383260286,0.5040617492186666,0.4680794439010709,0.46306679544562374,0.4370444166320265,0.4490445036071879,0.6309488738436444,0.6957304997456557,0.7283031510109621,0.7945104561072636,0.754890551571296,0.9896229986298798,1.0518349609360218,0.9696048069156538,0.8534384064752547,0.8738560654684315,0.787801653642393,0.9169808879559124,0.7300699283658578,0.5158998111369529,0.5094567109249171,0.5962949003658954,0.616849116467028,0.535221027728515,0.5310531934957786,0.652069719038265,0.5058881811493552,0.49334308789298187,0.5028709383762232,0.4952183637377797,0.4982693074800578,0.6130146083309174,0.5927066167441318,1.0085756689929544,1.5549374857268536,1.1295779650388187,0.6320842236475612,0.514161145782567,0.5717377201501168,0.5083967034868402,0.5969471465021715,0.580983000169557,0.5233401034300734,0.5485645167952852,0.5780485263373797,0.6147277047447334,0.7274662317043672,0.8539094566334365,1.029659898843797,1.139305334804654,0.9963933384558838,0.857650261214109,0.6713689821843734,0.6956319686103718,0.5964940439251296,0.5560120279998672,0.584167596270055,0.5773354599644668,0.7206911201066225,0.578915775520071,0.6368708792037019,0.6906890234827069,0.6490761622214339,0.7663112387502264,0.879482317566378,0.8432296306807369,0.8539873949164192,0.8894761232990528,0.9592399860618497,1.8771364270115243,1.0658434478911436,1.3678353366690226,0.9609919858064909,1.030023679580095,1.0644582150592734,1.045248797735513,1.2085766350904423,1.168152168581341,1.1161139183238769,1.153180126806371,1.2074151980275285,0.9995928695446669,0.8687750044438106,0.9641026192394694,0.9875481960644934,0.8680451866534648,0.843587102676051,1.0279966817361201,0.9294659978715812,0.9196772743379764,0.8676305549415205,0.9018720489579656,0.9937184591678254,1.0917128755989072,0.9805448886774188,1.0684232735484727,1.0492764974437565,1.2166210831042668,1.2892961787572867,1.0783119302992383,1.0549543501242746,1.1197675692433458,1.5560407612829754,1.2578340248644329,1.5779070230377528,1.0432865011029873,0.9669868047084161,0.952549261551674,0.9631544060380406,1.0527549424258351,0.9965441595611432,1.041801160979061,1.188071828917833,1.3293368501636258,1.2619097482734203,1.3999157844453463,1.685062410760668,1.6972395710173795,2.0360164645711363,1.4626418052839538,1.1249101447654994,0.9510308142431325,0.8860315570430748,0.955293553794246,1.1330593708844952,1.0083402381684468,0.9437203899643014,0.991003228696218,1.121518240436325,1.0624081837027552,0.9651553231788266,1.227928054757441,1.3880230500176403,1.112302180296854,1.1751982358640263,1.494007447133726,1.557439048303413,1.2147820114573888,1.2497195846673406,1.0625566689571713,1.0161879067282946,0.924955803107554,0.9028212773672692,0.9670046736413457,0.8885412380585186,0.9111014393957901,1.010922413750041,1.0480013319568544,1.0623960369065917,1.1614562273147493,1.525688279748332,1.3895039677376615,1.4632039746765366,1.516517862245164,1.7471987250903789,1.7483210214848115,1.7534647687944436,1.9873086425040984,2.055087994012401,1.788824036678838,1.6622630751185343,1.2945974588330242,1.0901110332069126,1.747503954178925,1.8841234539279026,2.0805198795161,2.0958113085731833,1.568837090335209,1.2893462189300182,1.12729113952123,0.9354487584168514,0.9691760029993212,0.8425875755990802,0.8406602225761266,1.32266609882711,0.8938233455976947,0.8405798194514815,0.9954876090493388,0.9776116581489109,0.8358745962413484,1.0172644783373164,1.5505564769957416,1.9856436805647704,2.7687581461233606,3.3852106273653897],[0.7168152592379172,0.7505637096464985,0.9221832337914445,0.5706207658606783,0.8983417730317376,0.6335834869090641,0.5607996504326336,0.6133711112592805,0.5700413027564555,0.5268733615241475,0.5258104319488266,0.5827285452411753,0.5522173228059561,0.5108050448683132,0.5786294138736224,0.5642606220444412,0.5528079277658625,0.582903360315354,0.6685560640150435,0.6441880809407982,0.6659408306181088,0.6805665654239106,0.785825142815357,0.9429516715144809,0.9192321456556117,0.8032397758093728,0.7256820019204065,0.6453067704738525,0.5878275289298058,0.5926972198031644,0.5933151298417486,0.6082218059655841,0.634807824127537,0.597153119400877,0.5853068252798954,0.5697876389558159,0.6010960033807747,0.6184040122403514,0.6361653659938925,0.6565816531097421,0.7682665894696952,0.6853286235212037,0.7036140454029407,0.8389899558843691,0.9995477552206499,1.4544444182158316,1.617668820655417,0.9315460640228906,1.3097411370068341,1.7361005080051628,1.105317865551225,1.2822617265674598,1.0516992025329095,0.9762064353553136,1.3644659055702615,0.8201839473833697,0.7483608050225995,0.79675679898578,0.8633894946210601,0.9635226141471429,0.7464638972044347,0.6881425521089857,0.6425008730508542,0.7612424066767836,0.6775057504709348,0.6371270140739146,0.7905276671899844,0.6358185239300468,0.7729389030817445,0.7472972002590902,0.8471200909484569,1.093707851745798,0.9303230388677743,0.8985998780877001,0.652581567918024,0.9905054005104099,0.5736919593879619,0.6190441494931448,0.5613290792360478,0.6467449700975924,0.6306075432470035,0.9604776295520104,0.8174600741464817,0.7532463388711262,0.8374771603012375,0.7117380256867408,0.653424636729586,0.6881709761466847,0.5607740465339767,0.6166609621507141,0.5857382947465838,0.7989296356992174,0.7002538660945518,0.6450579205107825,0.6190640791283997,0.7067892991266285,0.6965224496125512,0.6210809113701018,0.6378967745687445,0.8486964891248701,0.6430179629775273,0.8201912209083468,0.6939644492996707,0.72305341397213,0.8255449055035701,0.8052596365938308,0.9513368097756447,1.0015818247857615,1.0290053267026378,0.9207037270805739,0.8878370896873176,0.7188420088604028,0.5995188141880468,0.6402239534136882,0.5582464089317456,0.601149568996723,0.6904551789590396,0.616260773088785,0.7567441571423438,0.6357572232471225,0.6206793148120023,0.5862405525798537,0.5825172762364721,0.5606464064542078,0.5832732602008968,0.7116681050770145,0.7603012167438897,0.7762460485604583,0.8063873203592236,0.7742998814020197,0.9306803106763025,0.9937184871039896,0.9192053333997111,0.842960278089454,0.8625739164405983,0.8068175550690224,0.9278556656082192,0.7513412165458517,0.5800837018995577,0.5855223238897455,0.6783733405659793,0.6935653489884737,0.6375207237616908,0.6387372956895353,0.725224685180278,0.607036331361851,0.5905568646785955,0.5956881659098958,0.6018891655641511,0.6326339446552651,0.7116892269676578,0.7492115537422376,1.2329406107088239,1.696055303099105,1.1840879919185319,0.7775789044444439,0.6617532066865183,0.7028132784305904,0.6475547141807909,0.7005808716688191,0.6637587581009059,0.6037150873209566,0.6056315809715394,0.6539407698784944,0.6805317434098966,0.7374483947629578,0.869273139000007,1.0279813537118627,1.1214614140002592,1.0182859162415414,0.8722597995365541,0.7155751711461962,0.7338237020950339,0.6381032268896808,0.6374523043024999,0.677983662380033,0.6855662238257888,0.8170599980539145,0.6818822790055789,0.7153402760891977,0.7018535390138629,0.7084215963505113,0.7841256662109588,0.8768302673233269,0.8591754453441636,0.8916786987763134,0.9345458421529155,0.9536787609829277,1.9143246465264878,1.0696848053926291,1.3486902464865425,0.968012696122522,0.9871283096897653,1.0203182666781363,0.9713082264741797,1.076850136244687,1.0558776236333522,1.0204794723993877,1.0355751267070887,1.1051650899787084,0.938103759100591,0.9001987342328984,0.9404993827931432,0.9358723751730644,0.8992411416458469,0.9134474967110273,1.0159629910009869,0.9347759063818823,1.0574989470572191,0.9435590786446425,0.9305436824046548,1.0533436727950742,1.1785320406233177,0.9860357156753512,1.051304097749612,1.0607919531351726,1.2471277886185745,1.259292917092214,1.0356014014458759,1.0735863260728464,1.1118973327934656,1.6912795166316081,1.2937264988038828,1.6599277630054452,1.0734556415557814,1.0597731291029748,1.0560038943870602,1.013410682318507,1.0347648486297747,0.980418601195315,1.0370705998044538,1.0773225824258155,1.208663805195651,1.1137540507063748,1.2036312665453048,1.4733564521410032,1.5090612456292976,1.8184928461195153,1.3118524450639728,1.0328084130780097,0.9454343749776722,1.0162760378129299,1.1627723234027312,1.3554959155201094,1.2416358490271333,1.1539135929792212,1.233599009081551,1.4161816423024534,1.3074574606264795,1.1672915544313993,1.501451147169316,1.6540073826103323,1.3169985065201257,1.4141544616641468,1.7614166990954943,1.7508633320573936,1.3883207707933523,1.4568814001521189,1.2365637814339576,1.2206007769364493,1.1116846296463874,1.0530981005094262,1.0867926813628885,0.9549619330873914,0.9415878765259074,0.9853599207033074,1.0055574951448774,0.9833555453681766,1.0495238078560765,1.3834244832952618,1.2702634172823712,1.309842268869869,1.353064453394676,1.621637485459405,1.6091422381440719,1.6330609054286707,1.8611382735468522,1.9468273561825489,1.7439477722982402,1.6127665744477742,1.2528392407266762,1.1202323070963047,1.7555385118062399,1.8117055669888715,1.9636950436454328,1.97453061355888,1.441664727351895,1.2222298267692961,1.0353546838976078,0.9281928957234413,0.9911153536860678,0.9124837456646492,0.9558015297399255,1.4999672480188637,0.9596097829500851,0.9556793591480062,1.1443355019281984,1.0657540702702288,0.9698599548578316,1.0792206176484302,1.6960236825564297,2.2262653151779146,3.2227146130247215,3.431498850077066],[1.1137213079954376,1.0494353837476493,1.1553535561988906,0.831283530752548,1.1194452774659558,0.8369026049607927,0.7797017963655012,0.8262953268747113,0.7474481547213958,0.703732430206984,0.6575068557482394,0.7142679031581523,0.7064190757562644,0.6451865271364725,0.6851688763993848,0.7052835907627306,0.6853852881524803,0.7062094793514073,0.7561728454621409,0.7459823366794376,0.7297030480807278,0.7358607615191914,0.8544329726944663,0.9919039405533384,0.9760999468372207,0.8725290087945048,0.8341219762485909,0.7720246152126116,0.7271580600589475,0.7475671358844815,0.7036089115171261,0.7620026087869488,0.7557889049206755,0.7169210784907496,0.732630489189412,0.7086393820271947,0.7631263536482641,0.7724963481693481,0.7930013320949489,0.806389862384592,0.8720955018278279,0.7980261191747059,0.8083442253145933,0.908122810079236,1.0418758532906707,1.501143800050747,1.6237517531864205,0.9976098041466689,1.4514627275903496,1.8415955225722795,1.20068316901389,1.2966828565337034,1.1274890131897777,1.0704346968869969,1.4657837882136087,0.9203629146949566,0.8301844146055172,0.9091446184803693,0.984266870678797,0.9588681658272296,0.8195599296413395,0.7345071873726117,0.7280885895603129,0.8081210720635712,0.7459469029090848,0.7259116427382529,0.865608609139502,0.7235683621640651,0.8231486235997406,0.804661598156032,0.8983847419748805,1.1278205828079495,0.9876398364537146,0.9284652618661022,0.7251369395169753,1.0469561652044557,0.6680352688913711,0.7329254184754409,0.6937193075673065,0.7852722945435423,0.796172448642282,1.1109237312312679,0.939635034075403,0.8682269423100645,0.9958627313451369,0.8830969591541686,0.8068491547372335,0.8379786435463422,0.7043876031101729,0.7503309184086484,0.686714919900835,0.8261906090525789,0.7627299476540769,0.7287250787814855,0.7097569543977068,0.7546807754769204,0.7699283729864517,0.7301864634820104,0.7563307676405447,0.9529847740879699,0.8032688755890297,0.9681036865029219,0.8595332167994141,0.9243598603535506,1.0355997506964347,1.005830884880319,1.129722185905111,1.1934495304020083,1.2233015100512028,1.0823175041938666,1.0949135176626665,0.9330969249772049,0.8216026025800336,0.8487488242423575,0.7291409251193888,0.7612175338017962,0.8085909165606442,0.7322845036818154,0.8413798512974601,0.7453702462656007,0.7195607430610579,0.7059808260693199,0.6862724136331693,0.7191458393070754,0.7860628467062641,0.9083304243640519,0.9913384181953705,0.99622349086744,1.018395307632101,0.9801700272169016,1.0934445529571364,1.1494482743801357,1.0808201802110797,1.0366075435280038,1.0383884892570658,0.9862077698029741,1.1216523285185984,0.9214653876792659,0.7487273935527413,0.7676390712937171,0.8173923826977518,0.7959402276491395,0.7650589431584738,0.8007811936797115,0.8586005101664367,0.7659642036940985,0.7549922834409913,0.7600900150925733,0.8146349049833141,0.8248842932706543,0.9016410227605998,0.9147521530733157,1.3821379712474542,1.8109085763454722,1.266203555895906,0.9209078358471339,0.8236913518893716,0.8853236725500041,0.8292317701240135,0.8965978950730898,0.8688659334211317,0.7779133273623865,0.7768286030970705,0.8218801441231837,0.8765337173030896,0.8910000776042049,1.0246669063754572,1.1362241391478223,1.2386961495230795,1.1563849796451964,1.043344861076442,0.8990133676080062,0.9053613334804645,0.8238970878903931,0.8349670201272823,0.8796168520885611,0.8719077494639986,0.9792678562814485,0.8788233970282647,0.9122644603276016,0.8173076921299076,0.9223675897127526,0.9918729740855211,1.0604576986554104,1.0401165955584344,1.0456487485701704,1.0675017194449858,1.0712351294069178,1.9762286871630146,1.1383842812390241,1.4444438511520428,1.087679709585156,1.1113266487693836,1.1482056758378452,1.0947396901441466,1.1749151193515568,1.1871903177078833,1.173124976818866,1.186437410586922,1.232229630026467,1.123875454595626,1.113494578747047,1.1340619437625863,1.1299002167015229,1.1111169345541427,1.1253838764845936,1.204951708138432,1.1282083427790084,1.2219069476410926,1.1296962806186228,1.1163820387659549,1.1603665193480506,1.2625183715467352,1.1394133879570483,1.1546675707357013,1.2137261183628962,1.335681139193433,1.3683675505098096,1.158452158972748,1.1744097503349595,1.1805254489267767,1.8149050101892463,1.382533348633223,1.8307594062048125,1.2425902233293953,1.2470682419678376,1.2349191735618634,1.2177932327005105,1.2079928672354356,1.204628420527185,1.2757544612818772,1.2501105208829315,1.3481362132210442,1.2619804445053213,1.3303292204767818,1.4747516523017374,1.5134954489586798,1.7683435026455585,1.3888648450334815,1.1812649675739495,1.1761305204945052,1.2864112418294178,1.4125233675862126,1.555674973012942,1.4653971607020988,1.384092518918548,1.4306406351858831,1.6055706402016132,1.518794335966918,1.3541600125855373,1.6470136837960103,1.7829557286320246,1.4496222302591346,1.5248290286438324,1.8403661638170616,1.7833749041383806,1.4521573172154327,1.5134908226586101,1.3411939002262327,1.3526949643173896,1.2889992393461724,1.2300619755324185,1.2304319028069515,1.1315790570026873,1.1336504269343124,1.1333021802762433,1.147168462081692,1.1430675159205252,1.1753244984218352,1.4576843718634975,1.3701402869795773,1.3768298033449777,1.4187772519448143,1.631164508404414,1.6361112842131702,1.6771801830244386,1.8549388570223762,1.9362901708844904,1.8018139694252064,1.7002647870472798,1.3861685573592037,1.3194162254618478,1.8796372415007665,1.8800774452052893,1.9888623052481647,2.001581240239613,1.5106501640014456,1.3608501231392343,1.1810999490889509,1.1314698587352041,1.1817427118492791,1.1173417727568673,1.1659481764089648,1.7436017425704853,1.1667625179309726,1.161434004371765,1.3468107528252296,1.274826646699349,1.204442857083044,1.2531146284485966,1.8104792777986003,2.284856642142765,3.400935950258353,3.2395201727524006],[1.081053874795462,1.0588227353728181,1.1922624446980679,0.8409909830163041,1.1340492571771954,0.9783076406606678,0.9406333110112893,1.0330824558197451,1.001099851482625,0.9438557552799753,0.9495272414964065,1.0015813832817488,0.9637209093356912,0.9152746891510495,0.9840566535782528,0.9923168945513909,0.9253249434917458,0.9509476406642196,0.9622761845299425,0.9589805902927628,0.9195301140815867,0.912323667368142,1.0238369640715697,1.1704629121626682,1.1398692175193323,1.0407755144173811,1.000531120747621,0.9594530893530349,0.9533671404200517,1.005981470666881,0.991466958719925,1.0551966637045826,1.0484079692568251,1.015166510622619,1.023544141564474,0.9808230264762096,1.028957705606476,0.9941300807094229,0.9818591016240894,0.9788815185502849,1.0150864112535352,0.9724043560154322,0.9856619865161641,1.0497794188734861,1.152398979825746,1.5608323473284518,1.7058634079213228,1.116287680526646,1.4847754208548973,1.8244748521334162,1.281032636954124,1.390588884871675,1.2873768102676464,1.2322040444040558,1.627308937148574,1.1121026658535085,1.027707390375371,1.0947156040937436,1.1732886746866422,1.1291652276135224,1.038339652643801,0.968377634496102,0.9714800803025001,0.9896323218395042,0.9396459534313453,0.945776791371975,1.0115562561693896,0.9452581433207359,0.9916162712514105,0.9691909082550001,1.0205147636360032,1.2222689437607028,1.1059182514487043,1.0832256891664367,0.9455903464943637,1.1798900008420163,0.9329799534330864,0.994797178360117,0.9694789617603391,1.027969625909749,1.0619543688201674,1.3390126975620344,1.126331053072041,1.0553498559728787,1.147873968877813,1.1004056228508123,1.0378789927005354,1.0925160474457072,0.9769492451723074,1.0557746167886757,0.9673805625536714,1.0438051537533473,1.0080089310463591,1.0063938742611693,1.0028104750203826,1.013430889092529,1.0407969721782384,1.0284874232769725,1.0363239564594715,1.1536121134317237,1.072869392316617,1.192847432591397,1.108465626856087,1.1304163185621923,1.2071461421228444,1.1471614372671004,1.2587741712167446,1.2766350899441445,1.3023032066796296,1.2191549168395193,1.2070182258471938,1.0682535518402316,0.9909431400785674,0.9931902342172754,0.9121946349014441,0.8932278466817559,0.9704705255500568,0.8588002509826503,0.9956978713104678,0.9481863950257642,0.9161066917533901,0.9015328000840298,0.8312039571601478,0.8422355478250976,0.9081950305966159,1.0006499852759978,1.0907125115552267,1.0833800102750162,1.106963225303815,1.0794680547424214,1.154360037724819,1.2287321651976544,1.1511955545973218,1.1321134220653226,1.1155229194028768,1.0729455397297796,1.1213296642400414,0.9667012504269236,0.8140836717703951,0.8535144763919317,0.877861284621393,0.8508102808764226,0.8692388604393078,0.9204253720728375,1.0067533960876751,0.941508008913409,0.9195034059010257,0.961749345355662,0.999636526513794,1.0178697744051923,1.0847289809651213,1.1203341321005393,1.5799162977001224,1.9399234208879983,1.4066944778959405,1.164101382491169,1.0710883449586968,1.0906754328534067,1.0598754589453272,1.077723370542451,1.0191793861856024,0.9604735851146218,0.9075896423567593,0.9620707561541569,0.975827688077918,0.9659464379310629,1.0578595917723412,1.1493305697480607,1.2404271031557879,1.1604615569617243,1.0576593084073707,0.960301984594436,1.0144964402255032,0.9565850155907303,1.0086807739544592,1.0684503237085892,1.0857223713133182,1.2014034608343533,1.0711007780631567,1.1093639059935805,0.9528016380636444,1.0714359228333585,1.120008156308535,1.1691943055273948,1.1427527335983383,1.1733159774541113,1.197520626203305,1.1917428356661772,2.021280703373195,1.2092656506031936,1.4424865097798203,1.1500233289237844,1.1653217710927823,1.195475627533271,1.1413206836836445,1.199390033149494,1.1925590768655854,1.2009765603896951,1.197876914595404,1.3015778997316423,1.1768551995941103,1.1979725317787664,1.2005607048185782,1.1694393596702934,1.189649431706913,1.2071212057198808,1.2303820668867718,1.1828824137100327,1.3235069180792807,1.2096422358794607,1.1780476996279023,1.258928308958478,1.3690790493564877,1.2134364966935176,1.2180121739408212,1.263693611703225,1.4313615043983992,1.4115378349405812,1.210239320485418,1.281495829950878,1.3154922233153272,1.9196881659564125,1.4864852551045349,1.8386015974180694,1.3248131615920793,1.3610694279573523,1.361957351083624,1.2915390073306632,1.2745770936821939,1.219614928962694,1.2858507119863103,1.2438983878208414,1.3137184949225749,1.2434070913135973,1.2973807328693268,1.5245948442983057,1.578183357454533,1.7920024472886156,1.418496377499273,1.2449757973929947,1.2357368869374732,1.338192224614683,1.4874472887226484,1.6812719317043838,1.5712268964164717,1.4932175455536572,1.5470156232378804,1.7340157084542456,1.6116605605554875,1.4656435596768769,1.7652217937001518,1.8905376934303093,1.5564273160458706,1.6686867374319219,1.977621155281606,1.9061245292493574,1.5953062511666747,1.689759319506285,1.4820237121405802,1.5017549567839468,1.4169676347294737,1.3536085269406815,1.3564875013223985,1.2164353193038815,1.2027548456879606,1.2051004402932466,1.201193949312796,1.176037284006661,1.2204006542259187,1.4537647887348162,1.3768185373468826,1.4097243225153626,1.4409421007425531,1.7289907226184156,1.677602282123359,1.7012129179832385,1.8954442400807594,1.9849797013148343,1.8364063623078015,1.716437002945132,1.414528276677455,1.3451113779550272,1.8870910432639108,1.877686078116077,1.9671740784348928,1.9808356057229053,1.5308586224634018,1.3708650073454758,1.2212024866440983,1.1706621194811404,1.2611163162963404,1.22471391757306,1.26733298508651,1.7558903417837288,1.2820263512169738,1.2603749846435912,1.488896213118347,1.4350524625077423,1.3101975541823843,1.370473021295014,2.0244474418848206,2.5104432516090625,3.7793850333691825,3.895596008553033],[2.0496592604277293,2.1085979458250885,2.198484310754175,2.0392900431186676,2.2904988488077738,2.012671580714857,1.9390443493380847,1.9268637525707646,1.7909662003049953,1.7851237411144012,1.6861043630838124,1.7026369257607723,1.7783128134437445,1.7062174395954284,1.6577837724631375,1.7190889678854313,1.7559826947490227,1.7338000252954788,1.7511769033539726,1.8052835390003328,1.7536272491714409,1.7810806162971042,1.8939415951599428,1.980131365580554,2.046348798358258,1.9110456868346763,1.9316322646983421,1.8940850699753051,1.835869622159014,1.8055486756430392,1.6706474458120735,1.7834548055663424,1.6880344284220496,1.6855032785663533,1.7576712570239714,1.769645437050587,1.8317171693780674,1.9045808636301211,1.9580554821727496,1.9801164466187557,1.9984293192815248,1.8857812951601742,1.930207239733495,1.9657811781624475,1.989809845202116,2.2766714413207008,2.3677894426747437,2.078060904448699,2.3690628119407937,2.7301045820209686,2.212880926992447,2.2846799936770674,2.1605233855569517,2.1434708652874,2.3357462501693504,1.9986475493925724,1.9683086242034908,1.9447558322013334,1.9956446334331934,2.0561732979404086,1.861482161219328,1.744633699866656,1.6973524159915896,1.7146465965669935,1.7429896330502286,1.7592461363979202,1.7460099905520499,1.667861077105326,1.6491727915534902,1.6313909412671586,1.6101758196378613,1.8016392964641033,1.7160931678071234,1.6601584658099353,1.636229127282546,1.7331239478593365,1.6859503141903127,1.6737075362454141,1.7407868246011098,1.8395179628963865,1.8802865889222151,2.1396877841210737,2.004492156430668,2.034790189159901,2.0674598545046687,2.009390643439208,1.9105938915045932,1.8618867375099404,1.7812992345259855,1.7292003713184445,1.655323680827456,1.6507446367329983,1.6205738240349465,1.6147532260890238,1.620515414342289,1.5757461293501527,1.600351237784238,1.6661773261736081,1.7088414040296458,1.860851203741889,1.801466609899518,1.9113990732085955,1.8960310084886807,1.982169137703666,2.0981649134119653,2.088692793402638,2.160164843539654,2.230720459831606,2.2478556913673065,2.1760345394324454,2.1601908723734025,2.065479411824662,1.988949861957421,2.0380081174428066,1.8940600075679206,1.9434856739450306,1.9386996422964695,1.926933398632255,1.8381260620371112,1.774995896602595,1.760158496720654,1.785155127873745,1.8690474098204581,1.9067939389136297,1.9588662876561223,2.0841913157351217,2.1380027126089978,2.168495291821981,2.156823302376292,2.1143613483292887,2.2603413192767556,2.3038287681188443,2.2818802346700418,2.1806178521516486,2.2170034470372357,2.153736017738978,2.2234960734206806,2.1889603709533096,2.0822298082426935,2.0616197409705492,2.102680713361454,2.039680334271923,1.942761689715523,1.969095857200219,2.058412632375348,1.9435351447785472,1.9447038478711594,1.9238125576831424,1.967742583159788,1.9212664921339655,1.9872007192424874,1.8672139280406892,2.0257366744424856,2.285357464918254,2.0037981366430198,1.8290291192135657,1.8350565968557118,1.9465089152635315,1.9007290519680147,1.996217951409081,2.0316491230408675,1.9420476399077853,1.9832043576093465,1.9956908069368173,2.090360413163445,2.143879276429727,2.231930092526981,2.3187978671734997,2.3925974464101554,2.3211036418070434,2.2317601762134744,2.139475935365727,2.121420938000093,2.033340227015106,2.017303922524154,2.019165741095952,1.961115445939714,2.0381677859692835,2.014303166187902,2.0776501925938975,2.04180958669484,2.0786549796008496,2.1738844668929196,2.2348487147631624,2.224898729208168,2.2033885344691053,2.163032553186559,2.1743649894499284,2.769732520280372,2.1595066481901855,2.496249879556255,2.2455172377378583,2.2707473445181923,2.2963648624520343,2.2894068012600335,2.346424705437353,2.3423482934121567,2.2605331226239747,2.275634017332094,2.289620215149944,2.13699874970022,2.0837702139916137,2.1720826217048885,2.1689287983534538,2.043774723373388,2.0696884483087112,2.279398213646857,2.085504343448787,2.019073689983907,2.0623818871466173,2.0764932697203715,1.9497682963788023,2.032317337646511,2.103474829161661,1.9671193791854709,2.187163778070903,1.9269568194358586,2.2791544067976477,2.050052851201554,1.9298176988956253,1.94928595065221,2.251744572854178,2.0158024595152844,2.2495992043767905,1.9712001586272818,2.017357491328915,2.0706692647972207,2.0461773193879305,1.984660633211126,2.069762404655016,2.1456314090154387,2.106844879926711,2.2127720006964102,2.249500506851471,2.292051085927084,2.4224373202624623,2.4536503727977736,2.6213097374686924,2.42736165450212,2.197864845950945,2.12388255547609,2.130463295489809,2.1874090395961097,2.282800985285797,2.197111601614033,2.208865746601361,2.1560400133308524,2.2835050446998495,2.2595816038582845,2.116312279285838,2.282660684226396,2.3704554211067412,2.1589490229025694,2.1932705044047047,2.435718821041816,2.3992265016372762,2.121892279575838,2.164975270364382,2.0226568943652454,2.0500556138660615,2.0462344584050443,1.9885984655158675,1.9419168372013773,1.9490085150302083,1.9647528450632477,1.9429069465871058,1.9743622072809295,2.097599014056143,2.0592896632153757,2.226651616399428,2.3023713410903954,2.3242590414761226,2.2853707428628156,2.47778450740612,2.6012795174329524,2.718232305749071,2.8571206321293996,3.029278933818311,2.747749859440771,2.8191202182837274,2.488193701730758,2.4854296630707853,3.0253281254005815,2.9522177621606933,3.0439157971411985,2.9538632367535627,2.5489683713874203,2.47026273979614,2.300381170769852,2.2751090493412267,2.265861871759189,2.138220985848749,2.065234920935952,2.2513687706171237,2.1575210279822903,2.0855437670460324,2.1955095318029962,2.1618626620208508,2.20200342408682,2.1386703381366905,2.5380736918790663,2.9954764232991384,3.8683625991446204,4.390081478119624],[1.5414937007876663,1.43590283108134,1.498013544277308,1.2651242474583286,1.3071226397610534,1.2273017107737798,1.1406669886291607,1.2434582666911669,1.0310607089536339,0.929323303434718,0.8769223647901826,1.0147471299998059,0.9532801365767951,0.8336440212689415,0.8524403464446102,0.9111579743899987,0.8806935259371339,0.8483376128141711,0.8802989920901101,0.895641959785888,0.8700975707169172,0.9333010444697813,0.9904328468422893,1.0657980667060853,1.081316308598605,0.9877279724926492,0.9671602244677735,0.9349266791693747,0.933219396147815,0.9779068364828956,0.8976921886106192,1.0318383558837683,1.0388605012260186,0.9733679586209206,1.002504862918671,0.9384667131966079,1.0520521499782387,0.9929527670585578,1.0304010914528268,1.1182747194743556,1.0940111672443802,1.0015956816313265,1.00873922506565,1.0945143961324841,1.2249628537932444,1.6174932207425505,1.7180450206342366,1.2546490997306028,1.6184595941547186,2.06484500777546,1.366369422137821,1.3663961787075296,1.2875786373163909,1.2523691655916283,1.6289854307901763,1.153537787443713,1.0345370800420899,1.1307219077780166,1.2192795777679288,1.1551579037164224,0.9658152670042592,0.9299273768120727,0.914916416434287,0.9349691952100928,0.9017234241486888,0.9118705367715032,0.9688418102109828,0.85707241966006,0.8760569811007045,0.9027613452164448,0.9169024911316913,1.1069970227881183,1.0669538882121394,0.9715358898994326,0.8731165927577224,1.1112933331457828,0.9011120468484632,0.9558263915654455,0.96296110631474,1.010477195768515,1.0604956795244709,1.2274625751202597,1.3098450520030271,1.212664083758551,1.182164030239496,1.1260983810849439,1.0339132393870023,1.113972798136791,0.9491012899284983,0.9812271279981956,0.8999487733528231,0.9735780622878201,0.9330438554401327,0.9284380180918845,0.908846026795999,0.946860461908802,0.9480689565497984,1.024432475399053,1.0980897585414269,1.3935127491895227,1.20434915214368,1.4467661738125628,1.2657465260860346,1.4136480630965103,1.4372573832749092,1.3969330065261272,1.5305642268951587,1.4615554742554773,1.4828910238170172,1.4765437285445402,1.3813801420495713,1.2428994167558547,1.1842267536715252,1.1324223240735032,0.9917953923224426,0.9706783309980422,0.9659287006081577,0.9776241109125707,0.9949643273788349,0.8682368544079865,0.8578536630639566,0.8750455013845413,0.9250289494550731,0.9571152231959261,1.0161998938630223,1.082544849594902,1.2282437207899584,1.2864706997874635,1.3660948436557188,1.396202791108623,1.399847024463159,1.4691904990103524,1.4000796890260359,1.419082868218562,1.3388225364481763,1.2853570206516987,1.3145093634152292,1.2554066282729748,1.2551432059254044,1.1637352790113127,1.2789778501585831,1.2168231005483812,1.0563948061532642,1.023833536714636,1.0686000728906124,1.001320930072013,1.0187611941012595,1.054550079909554,1.1659852289692278,1.2051164634543283,1.3866491207856906,1.3620227954430406,1.6750413375899162,1.9989344636105322,1.620313418140486,1.3593502920049574,1.2307736212977571,1.3829314310514005,1.1920603835076096,1.3420900064522794,1.222357868843513,1.088895096420819,1.0836267426147725,1.0989387042066878,1.202301774519861,1.283640747421839,1.3190986382419971,1.4223496702539526,1.5212474112908356,1.3885960814322442,1.3186741848994163,1.2249148073011298,1.2213537559617043,1.2266324075473145,1.1986860743367174,1.2780640521679263,1.2172604242706035,1.3428500260721843,1.2277802661521706,1.3251288985154328,1.4432246186245103,1.353623252037622,1.3847912893403376,1.4010244694845586,1.36637493716639,1.4015275044605175,1.3975076800535629,1.4098506954716021,2.0266684774959796,1.2554935521250907,1.4896152798301285,1.3746537297016423,1.3623074955120669,1.4204567330055353,1.4316014590213015,1.4821359582999856,1.4584626134718714,1.4850993807611117,1.5072962564416936,1.5189798930208727,1.63211740458727,1.7088413968176486,1.5633489121476087,1.5872704668947557,1.769670328196398,1.7631597324250927,1.5908061141103746,1.7288246355128234,2.0613682514119738,1.8032196965569829,1.7519799686909112,2.0549236379829003,2.1758886582453005,1.7956006644344624,1.91368296926483,1.730173179264199,2.198073625188494,1.756206528146809,1.7443450684361421,1.9712825563148095,1.9687575131758766,2.4062082406544927,2.106203904682105,2.3506300648038043,1.9764353133334955,2.0426544623334233,2.0035528842893466,1.9441754584988702,1.9010508977190237,1.8093720795880128,1.8686969856340212,1.7761342562097406,1.7774679793171242,1.7059351767323796,1.69343349008706,1.771056448893814,1.7342247611512405,1.9090941439909948,1.67157840735125,1.580765845602031,1.7020739021528368,1.9274833997829075,2.1183660865486886,2.3665041868209604,2.2005573826415348,2.105512916143335,2.2717198460373247,2.3867621448502296,2.2330778502735384,2.151672118522702,2.5141407578210866,2.6114887461708953,2.3256598274631033,2.504585661635968,2.810563161819634,2.7559171935117655,2.4899935175806878,2.600427339026516,2.3378817932156606,2.3385177066538607,2.197343663772704,2.1387288437318333,2.1500001473070838,1.943896262231652,1.880032501046168,1.8638050681990055,1.8033425852755274,1.696866710097541,1.7456467029255462,1.7627441328397602,1.6523917494234102,1.6816673599542262,1.7114322179761587,1.8547931619252538,1.8137767434432,1.802828428007765,2.0124938286851477,2.081238769086767,2.0174269447166404,1.8124300659510812,1.654976526693814,1.5848058030974854,1.8870279913297654,1.873357615173537,1.9831046652478812,1.9405265868304824,1.6627003977730694,1.4982864327396792,1.4686208184321392,1.435309214105892,1.5098654357820849,1.6390871429056835,1.7861640871840445,2.044129598141029,1.5538506032184463,1.7547472085998572,1.9291572309509628,1.6017261958378475,1.5909866458631574,1.9164045596722157,2.238874583492331,2.9011221990409584,3.6939716609096775,4.293949597127563],[1.8573558104625816,1.741927411575908,1.7638184537684438,1.5116398142091776,1.6634006306628286,1.6964829423394605,1.6724367152126791,1.7189576384625944,1.727466336288681,1.7209124238457425,1.7454352255132841,1.7621845090022912,1.7144479480779187,1.725181470736413,1.741357283030535,1.735692174623169,1.7145866603957263,1.7641613094709754,1.7846897824107124,1.7792502740853307,1.7668912378293449,1.7611044188971812,1.7889229324848688,1.900489514535544,1.8831841189021854,1.829943331687629,1.7430229715542875,1.7211244643414847,1.7180260450616773,1.7559752633569259,1.763125578242641,1.7684632243632998,1.7339331145931693,1.781150184786085,1.7601410499025163,1.7561178134855746,1.7310966976793762,1.7380203397955445,1.6845628769454148,1.69170937780782,1.722012853841068,1.7329519341001949,1.7256539881044202,1.7733618980042054,1.9197328562348546,2.2909977914224013,2.407452182317108,1.8380468878970782,2.0865820240316,2.3633251403206894,1.882668920204885,1.9126276945494338,1.832310121920448,1.7855038551118374,2.034240557503147,1.7622780861682832,1.7581512615658923,1.764837195286295,1.8153779554086358,1.8711545717112776,1.8087670993452365,1.7701429665372996,1.792862272079562,1.8668295279401732,1.8100422110830097,1.782561597614386,1.910131366312459,1.8319655025399297,1.8649083544051102,1.9074234205931224,1.930929307256216,2.039923723427489,1.9739813982730468,1.9068866657245072,1.803225989060872,1.9934278974921038,1.800067767105857,1.7985948049124316,1.7497855901617425,1.7513504006355356,1.775361240081083,1.8654663290603737,1.7736242090865206,1.737435278062074,1.7448710949858335,1.7296800609900571,1.744441193739089,1.7564494124156151,1.7478298678492943,1.79334891542599,1.79629539912618,1.777481880503747,1.78332427560527,1.7488428433057277,1.7476501523954182,1.7890583431259472,1.790379875078801,1.755279140375894,1.7713776032284292,1.8891400385997255,1.7633168133566812,1.8018712010343916,1.7398012940117378,1.7378859837179892,1.761355319125375,1.7168720403853979,1.9001598388875853,1.7615485420363608,1.7659921455615855,1.8612750725590907,1.7764718783697875,1.734019797597529,1.6782065997780158,1.6635559545778846,1.6495031088781575,1.6660377841822722,1.7618922052285089,1.6548626728233196,1.8053794934970755,1.7773751301672218,1.7629506242933364,1.7604335549268728,1.6835996597998482,1.6619142471063475,1.6478388678881593,1.7023693705408975,1.693186504191882,1.65548476564956,1.6938948949159562,1.7021285838531404,1.6611943894337322,1.7277287209486452,1.6635589194237257,1.7151775146961319,1.635878840488244,1.6518823684245838,1.6018985321481365,1.5283390278402031,1.4012807332137578,1.4886199718414581,1.4090910042303524,1.469367099983477,1.5516548548651252,1.6257864611168504,1.6847105150411552,1.6825539319263965,1.6588887877369023,1.7044730677008328,1.6974444181675858,1.7032327890840475,1.7475214538398074,1.7436073618385695,1.770150555352049,2.1625871615705865,2.0720869347549318,1.7755596172119852,1.7523608598592644,1.7922318539295272,1.7539594127172633,1.7124160614863695,1.6730519453132697,1.6956122817684887,1.6402854643422131,1.6662146759585903,1.5933579673329459,1.522460063031605,1.5681490485930074,1.5923150831041746,1.6443305620890398,1.606799197046596,1.5517720082839503,1.5301524479709057,1.6399963183282,1.667912599497182,1.673260927852582,1.7308902151480154,1.7801641718952559,1.7890099097531218,1.6953868822180131,1.7439093125029514,1.7537440104208117,1.6968093729721905,1.6867114901682392,1.6962311798700358,1.6740483497194982,1.7187727698404598,1.767091350340322,1.7339224241246436,2.2446624734842406,1.7310142401077702,1.7659785103040966,1.6084673581163647,1.665777545199752,1.6957198763869843,1.6606365093554718,1.6431638037763374,1.6229809420833472,1.6293206595922773,1.6570774931124532,1.7450378582352104,1.7721534464728383,1.8655242522615216,1.7716694035296323,1.7199272140077466,1.8829678360760653,1.8992687821507572,1.7229264618923767,1.8403688166670558,2.1799303662147866,1.9282210348104754,1.8888391642209272,2.2387811488296765,2.334484256050285,1.9743087692163455,2.1203470984284833,1.8305117174745245,2.468193976028046,1.8294879684450467,1.872185713407845,2.1434995104029535,2.138888803827568,2.5952294215028453,2.343702803977975,2.531996473754596,2.1440147573668007,2.1825502533345333,2.095184565980132,2.025038461970407,2.015597295622454,1.8473560598866152,1.8512762092185038,1.8325889707601613,1.8159214874718475,1.754637907497054,1.8101365521970956,1.8911980486561633,1.9334969844347325,2.269662410996632,1.899947950017769,1.7772047966226314,1.7265061576591154,1.9148134601096505,2.079111964125995,2.4178189944425634,2.2160837950337413,2.0804084496073685,2.3209075043455796,2.411270633375645,2.2353449128067546,2.219828328894306,2.5676073581220384,2.652199886092827,2.405907833664341,2.6182094931830844,2.9115270834368356,2.8508390536474977,2.6621033389544864,2.8007421608185394,2.522120976045204,2.490951589289743,2.3027692639458976,2.2702051508732124,2.331042231657141,2.0774943201775176,1.99577849129314,2.0050672130002707,1.937501854018187,1.7935272532960589,1.8623151328500542,1.8531846920897248,1.7546743033741212,1.8041702317646804,1.8237366214440516,1.9464040728735021,1.8639797848109416,1.8513674097595247,2.0228498070682854,2.070810197042543,1.9910017189388567,1.824586357950691,1.7163801690658174,1.6930779413567476,2.022924496844412,2.0406500472664435,2.0999016418549945,2.125751669552977,1.8496751467509742,1.7235508691246804,1.6877835127499965,1.702288958471263,1.7834930260719555,1.8200371947449112,1.965543345261752,2.3308786436623445,1.8628029644464665,1.9318547597210745,2.0511146635591424,1.9477010021277665,1.8730156897637305,2.06055366316328,2.4961862727529374,2.9281853561236337,3.979890313081474,4.9314301211036025],[2.4378813388987592,2.0685510805571794,1.8423925793715443,1.6362534285234045,1.4857944406703363,1.9466063379853018,1.8633984744077934,2.073182395706213,2.0228882446652166,1.7891744916486279,1.8831012662174602,2.0859906033646736,1.8320502171212638,1.673166282140347,1.79521070093474,1.8016430822924918,1.623985624787207,1.5917819260959152,1.412755717075551,1.4850876153708272,1.4555500117291487,1.531565404507613,1.3535668760578945,1.1967451274485592,1.2295144009257604,1.2504656312052236,1.2892698481595661,1.3835952293019294,1.5757940783110345,1.7319006156005872,1.8179720058687916,1.9232762960442924,2.0561660514324855,1.9502443682831727,1.8411787064871639,1.692221630438703,1.7761166580751298,1.5740916172253099,1.4584317248903405,1.5168746493931593,1.379571600832753,1.4406793672161904,1.391090903795326,1.405302925694247,1.5498925075801504,1.8844720324430135,1.995183549440761,1.4231797622970028,1.6576621592492307,1.9186278913695374,1.3217089093827936,1.2758778230708783,1.279929497967676,1.2603770112009869,1.6466405698618367,1.417011565475942,1.3365154361195772,1.5529041212160146,1.6050285035780432,1.5300719739091269,1.4822494505749912,1.6132140036439342,1.7059700235189588,1.6635275375073701,1.5578526914020712,1.5987428217274824,1.6430782090297464,1.6388486814517929,1.6304224004590404,1.8145583838963255,1.7454152551910718,1.859138168943069,1.9347658535057577,1.7842650630356538,1.830480317449578,2.062594097959837,1.7589050813823512,1.829805252255439,1.7422081968881307,1.6811675679009035,1.7044230441042376,1.5054276140240477,1.836256371547791,1.5688708118596668,1.482022874465503,1.5860285574763477,1.5707907084819,1.7634331482933319,1.670771555688145,1.8307128169035505,1.8383863885392016,2.006803345194282,1.9706178550878628,2.0229906255908463,1.970194200012725,2.0652010290095766,2.0283645376210098,2.105081113481397,2.1697979264899936,2.4907158041890916,2.199412895039553,2.2917778468496293,2.0101798323812563,2.071101226484482,1.853015948220179,1.8254984515202117,1.9470887809171566,1.6483864283281748,1.672981245571014,1.972620927112636,1.7824400742867095,1.725636303599845,1.7880913152660574,1.5760716621786752,1.5706171355899383,1.370954935870316,1.3905194873894666,1.1832029763856022,1.278593808227213,1.4491344047474874,1.3798839105988172,1.4547207002996023,1.272608260643126,1.3950756692520356,1.5274566237711884,1.4428047280653942,1.6543063070893933,1.5521940007889683,1.6344664676930376,1.6827924056241006,1.4851059627010765,1.5770356922387911,1.444916758965575,1.5898319883709504,1.4147267027066386,1.4789450684743295,1.3691691575602125,1.2216374146995468,1.215472848148376,1.249854203247956,1.09344549817716,1.1148783104572033,1.2326422703026638,1.2759577641880309,1.2683855084472917,1.4823430557434698,1.4777419703567987,1.6601620829645225,1.7659860928496445,1.9567058514412818,2.0939624101730883,2.256939928541387,2.438322558288985,2.8936859704132445,2.738839946356588,2.3683300832442864,2.1663863467047833,2.1896520526381256,1.938958354293642,1.8941115677170606,1.638536414232219,1.6211468144496448,1.4392724784643067,1.4777378555177076,1.3819644495354513,1.3956199492571315,1.205232645041115,1.213603472213494,1.2972725454412062,1.205618169462826,1.2255136276221161,1.2660340205564236,1.4283645762684316,1.6076555498187979,1.6401199148955081,1.7808222937657192,1.7946523877032619,1.8546884786550768,1.6947546972968544,1.783433918123168,1.99899269514868,1.7110668197940009,1.5735401397352757,1.4869600026328567,1.4224590371669892,1.5516018203060267,1.6392110427916513,1.7183502385921288,2.0514402673971985,1.431552185169661,1.324318678077776,1.2427113949021305,1.3488141754099816,1.42935419074778,1.4233706124728844,1.4335998382899422,1.4095831226895523,1.481234008647056,1.4836189229923533,1.6498297962575004,1.7155534751307582,1.9249166900083452,1.770124577247603,1.687229898139789,1.9214671522335427,2.029739547262741,1.6974157694604681,1.839947515548205,2.3246377000666545,2.137244659782176,1.9705481813001224,2.321556989239755,2.639690480408269,2.2084347376417353,2.1794660443301193,1.8151030280462157,2.355007103398327,1.7723671382745643,1.7785338358800917,2.0062175327583684,1.950858559483354,2.365587751182719,2.123016684644944,2.3741460543674267,1.9927627474480336,2.055864479627487,2.049637634706299,1.9191163035829215,1.8678114045838752,1.7545592307101348,1.7769318293354042,1.7128102221353343,1.7251036170002156,1.597427822747702,1.6018935709466817,1.848165220953704,1.771643619080725,2.0060900971920854,1.634412358748056,1.6515253521083153,1.692144117026924,1.9512535665706225,2.2111177094503036,2.523622527712318,2.416607183903775,2.2610894940668635,2.464349372552236,2.670653164294933,2.5268743242830154,2.4176379195275404,2.835593079943445,3.011506085375932,2.6987935007066484,2.794086229053553,3.1556847510393684,3.2154361953880337,2.811089960506746,2.8368100926229576,2.517659619911602,2.475072080727377,2.3516201603840976,2.217196759742606,2.2202225646290206,2.0546253555054057,1.942453256994303,1.8667677101425608,1.8225408647732642,1.7052177343630917,1.734401469875776,1.7785931084288178,1.6670196108217037,1.7078900361750051,1.7578319873970087,1.979773179146958,1.8831760548667857,1.8333566561697392,2.130280660780226,2.165481987811767,2.0273522295839372,1.7407147201129525,1.6156851561371675,1.6281073640204673,1.7216198684165331,1.7755200197824306,1.944978286881802,1.886032943019212,1.648454405611118,1.5224120315948944,1.5433935577221827,1.5734964588038558,1.7804253746461165,1.988068037410143,2.207116933371139,2.6240172349087842,2.0231341337904976,2.269774024147029,2.4951724092749417,2.297152944158739,2.180003621105239,2.5434273386065933,3.0168164432374525,3.7073273167579255,4.231275525841114,4.941686699857794],[1.82839572291675,1.6050575395176583,1.556001511772308,1.2447402483852819,1.3246023925387536,1.3609821533229953,1.3012726582595302,1.372945673764377,1.287158603432841,1.15459569835025,1.159146152761577,1.2777990660223777,1.1739143797583493,1.0566617080504614,1.1287369466835966,1.1416299088758186,1.067621809579563,1.0496593059318373,1.0037292266371842,1.0498610244979099,1.0559258273729581,1.1486815883947914,1.0453436967208307,1.022703395370852,1.0567530726087027,0.9845135998967985,0.9698897032020255,0.993250866636341,1.074578641607526,1.1589033047331059,1.1447148605159276,1.223800901081125,1.253704780315901,1.2112206625932544,1.192625675339535,1.1230630818589233,1.1908332716428884,1.1250541865391457,1.0769468445858337,1.150536110667523,1.1356916323082098,1.087707548913005,1.0693786038699897,1.1823835263327171,1.378108033565871,1.7861445098319177,1.915790027149466,1.2723920823553037,1.5102443830189025,1.840198620374049,1.2503924187847344,1.3172966399643082,1.2045747885847868,1.137796537417721,1.49161451398963,1.1765869338561135,1.0984087533398796,1.1957406593565776,1.233968410151387,1.2971033143069854,1.1372736992453198,1.1587640264271515,1.172661278475418,1.1850254463209304,1.1324474827976396,1.134906988846953,1.186988151723831,1.113025745415991,1.1606092251229243,1.268538362143803,1.2670409634386237,1.429720872688654,1.3659524649119987,1.2565993225137442,1.2132294020272463,1.443435076787631,1.1733343262090348,1.1674381731718966,1.1461123177054744,1.1677091528529315,1.1762742794253809,1.2002340218073912,1.3637632394421266,1.2334177878167452,1.182382948219732,1.1570143834021274,1.1236482959269398,1.2080809992236794,1.1253199953089386,1.2009232932050642,1.164671844739303,1.2806235840015392,1.2386454706487078,1.2170757222057695,1.2004472662729881,1.2552393291253927,1.247392698432384,1.2739495867831152,1.3281368944207785,1.5640897226454138,1.372455572098594,1.5035089966404243,1.339557329842847,1.410820589810083,1.3825459682246806,1.4021701205140842,1.6437413416197655,1.5184486194416125,1.5311394934328686,1.59593019757119,1.4745037235974519,1.359832630646237,1.2864611016016756,1.1993958960149391,1.0915695018151481,1.0100970025271883,1.03004258399514,0.8755080198395259,0.9572485528277296,1.014452585519874,0.9608602280442248,1.0053434005808914,0.9293689062594641,1.004609493875771,1.0986355428218881,1.186508400752067,1.3224831912876085,1.2967967907135634,1.400876379453561,1.40891282965978,1.4286110028048116,1.5366203390692534,1.4138978492194183,1.4256689395012818,1.310151365210569,1.2925906699301204,1.2602860380949168,1.063371842074942,0.9605740770749683,0.9787238189344621,0.8565417815488443,0.8681033137620651,0.9245276137088654,0.9679619686593237,1.01083180017295,1.0794241832465037,1.0831270029048559,1.1906024604706777,1.2672190126316105,1.3151801289281035,1.4250920974260812,1.4222358318940507,1.5380694969549478,1.970140534836064,1.8309561610748926,1.4714009867572808,1.3701422787150088,1.4558367992415915,1.313402448075125,1.3490061343483313,1.255565646512824,1.201562630070481,1.1161588327243686,1.1445139493956287,1.1424854008923844,1.217926852716446,1.120145237298519,1.1626588504503348,1.2807617702401959,1.1384982361321847,1.1354670572924814,1.0754069582135015,1.203224190029606,1.2730678715490835,1.243867239988032,1.3228086269922914,1.2854521210334093,1.3618995326376544,1.2644611029010357,1.3770748656717502,1.5491177913134682,1.3439957312568092,1.3600864002154582,1.3631641382153052,1.2762955190948633,1.3105757222599506,1.336906535788287,1.4599244720318547,1.9586166437258352,1.3353046490696068,1.4181937461245202,1.1579993552280017,1.3073705191534482,1.397939842882745,1.4374931630894001,1.5289543356165747,1.4758053373721087,1.5077254093665167,1.5522967774004663,1.6347068854594795,1.5977270999711648,1.5956866041468913,1.572731340316697,1.568338113976726,1.6036878449258622,1.6169353704046086,1.594930779376625,1.617296852304606,1.734881274867269,1.666387600403179,1.6498064208115182,1.7936608296688001,1.93841410979386,1.8254473746234539,1.783369040133798,1.6455146633942899,1.9530082827239348,1.7311860321979156,1.6554732092735807,1.7032055781026962,1.7168639938746835,2.019526796677979,1.8651627861846736,2.0556267713565757,1.6987676005297847,1.6838821227212042,1.6657808078605854,1.6206870018308652,1.6715390680932478,1.5676590723472077,1.5900396198558735,1.6662222187189821,1.7148114388466194,1.6802708432794808,1.7719165488508297,1.9810294424162287,1.9742098017191367,2.2857207280005367,1.8417321675172889,1.6392203915386245,1.516010040412982,1.549122699241328,1.6342164896454263,1.8457784774195176,1.7285395658543385,1.6820331069725238,1.7523819274037489,1.8411826660255806,1.7726777976195112,1.7435461467793036,1.934330663770203,2.0419368225702175,1.8905724792078809,1.938178000087313,2.1522155779661727,2.224233752790087,1.991971990035965,2.0045075888384893,1.8348397552637925,1.790870943227814,1.7236616858717089,1.6807393505642716,1.7226901210272367,1.6482769364145764,1.61335656001175,1.648108315265169,1.6416399498059115,1.620794588483324,1.6919476183443425,1.8456625422057484,1.7612179953020801,1.828813541681383,1.8696957056563466,2.064969994321811,2.0093311939536025,1.9778873103273917,2.1936144724556814,2.2492537757625772,2.076312314110918,1.9101015667768173,1.700366384965132,1.604623321181318,1.9572938977591556,2.0301455626470015,2.166804115393143,2.13521726680423,1.8579321754549067,1.616811071216186,1.5584503576081743,1.423106958420746,1.550497040873047,1.556596394661959,1.6418465462945226,1.9166458979948209,1.580536445053857,1.6424571411679734,1.724037741582539,1.6955274495619987,1.6069731946886991,1.7829078461624583,2.303650496399678,2.7398600662524415,3.5970983734233073,4.851252021156923],[1.360274012943533,1.19009932718231,1.282132295191641,0.9543039120700244,1.1309946309889818,0.9783209118339992,0.945934933277723,0.9906725867474643,0.9226957168931544,0.8314715055338702,0.8134639110491829,0.9002752465784195,0.8455377793042401,0.7581641726098008,0.806460521535383,0.8132268952321686,0.7984646015517225,0.7839507059712457,0.7831642350250918,0.8322584911781604,0.850828148486004,0.9580799043621017,0.9238249567618059,0.9537840298672645,0.9678583210534104,0.8503678415962554,0.808697338712552,0.7923078420189801,0.8196878719385492,0.8705153949673445,0.8351798255789749,0.8836076924450476,0.9022826329937511,0.868332745202326,0.8769514367500313,0.8512813930104979,0.8964309384566123,0.8833011137036453,0.8790979902937245,0.9558619759584348,0.9907377994548362,0.9135760018205112,0.9145826668728794,1.061313296507537,1.3099895598654399,1.7545929056643008,1.9071121531325261,1.1959488747886982,1.4245159421413063,1.8046173284049225,1.2125611733524218,1.3362914965323114,1.181847049280371,1.092617471290858,1.4706442210762722,1.0539388817374373,0.9746656756935028,1.0405197600178309,1.0735011971884105,1.1751610979310492,0.9617072706123686,0.9353695504818854,0.9129778986551378,0.9686494726245067,0.9174281685781108,0.898510810912273,0.970650961858535,0.8405838692087259,0.9219514473658514,1.0114208299774698,1.0553502654362332,1.2208676285748223,1.1306680616533613,1.0189996562838697,0.9290121298664085,1.164514132150375,0.8948888772456242,0.8634117578135947,0.8679545498869831,0.9179920463528226,0.9126781283664328,1.071902483716647,1.0907046631140567,1.0593991738704707,1.0122894236478623,0.9375455363659095,0.9005960445218748,0.9416401464507163,0.8545312649135552,0.901702330015724,0.8576262367306107,0.9756971486574484,0.9024397101876815,0.8522346901892305,0.8464249781703695,0.9022799118446951,0.9052393114999803,0.8919495643237476,0.934383719940907,1.1317148374494501,0.9851713483605055,1.1250462532061982,1.0039422170414851,1.0700552183252385,1.125986802294531,1.1403153246125732,1.3646531216320303,1.3545836287400566,1.357500776556621,1.3101434639295937,1.227617250649755,1.0965818284603235,0.9788295976919372,0.9717277058547159,0.836056063875337,0.8124319244167397,0.8346118730403248,0.7181409128596054,0.8128005493381104,0.8015900275054817,0.7696099018505883,0.7882999270648472,0.7534869829505656,0.7968973336364509,0.8592545043494562,0.9918538225763902,1.070518420457281,1.0907209953270351,1.1953750209880603,1.1909157484274568,1.3070018752905643,1.4038931904054581,1.3048166361344946,1.2507337734263708,1.1830905674679482,1.1238371363347697,1.1490962512742724,0.9533531055587005,0.8305401263324095,0.835902371985436,0.768778168282336,0.7952275761028942,0.7720499452755393,0.8111366823839552,0.8821684768591699,0.8731459611910677,0.8724787741645912,0.9379678786932982,0.9783129606869188,0.9839858939388388,1.0763287412659805,1.0016285975189536,1.185355836625152,1.6023553934397745,1.394902669241204,1.0424375217078163,0.9730640800516099,1.0657267994088022,0.9870516785822125,1.0518639512257684,1.0113554476321265,0.9509613236592114,0.9263736677397622,0.9527559248095687,0.9941332921842663,1.1207514057563424,1.048745293013208,1.1438903069408852,1.2587888697473069,1.1014527233672267,1.0541887177323659,0.9481495488216253,1.0479689792856293,1.0494531543506946,1.0035588908257775,1.0470035123470567,1.007949863478294,1.0883216146648793,1.0098416477881305,1.1195088074046837,1.276146398417113,1.104146762729489,1.1801140981741702,1.2289236810742907,1.1494237216937955,1.168176199650035,1.192743938485185,1.3426057876364121,1.9183434782572217,1.2556373990609122,1.4104566005611594,1.101056319744434,1.240742635794582,1.3182837828423584,1.3641186228948545,1.511864866393011,1.4270067646887936,1.4203149486251267,1.4626141889608422,1.5226627782607407,1.4001554196890698,1.3090767175103604,1.3544292963170188,1.365661961662203,1.3033613516205766,1.281152873184911,1.3628408887826757,1.324697970377968,1.3181338062597001,1.2928314524653832,1.308002899698781,1.3857791660051217,1.5045193091495959,1.480314115381232,1.4372271035407835,1.3275936643885065,1.5720586731437132,1.506857566139047,1.38771314442042,1.3684268844624996,1.410818106389389,1.6999474996364614,1.5509223900570954,1.796332342780497,1.4203738677339721,1.3755967106613527,1.360401211618871,1.3661150121539158,1.4335615720202026,1.3530992360334062,1.3954333951846816,1.535438575911527,1.6052437711316134,1.5897631308972784,1.7340689957268534,1.9595080090420405,1.949624109888351,2.290358686135725,1.7637010668995845,1.5055777057091757,1.3239354994885844,1.2651905069654694,1.2930791725473278,1.4434010612917947,1.3276761214475132,1.3269933250938968,1.3252326512313621,1.3932296236037796,1.3520903719332096,1.323928918704179,1.4498585464864824,1.5600629747074741,1.4276583731654697,1.4410799085844117,1.6438558279305624,1.7536699664337811,1.5042396456934157,1.4988160516770535,1.3772550959912775,1.3308180498310227,1.2997387171185122,1.2866935283498737,1.3296443044363024,1.2885895852117262,1.3052255568453182,1.371062074943183,1.3764380920380939,1.4221139641981477,1.5300260417417606,1.7547971545559522,1.6504257726526723,1.7556688344982372,1.8066293032134024,2.0068195934741797,1.973144300068478,1.9435639820049084,2.156224879808626,2.2156522925232003,1.932682049011832,1.8129908396444103,1.5294290934301316,1.3530889373490083,1.8597698122200048,2.0076693328943263,2.18658910435759,2.1721589566939246,1.7926634857852988,1.5227140237003962,1.4452063732238718,1.2476533906434277,1.316231553502658,1.265078825537677,1.2647801767133338,1.5317657983241728,1.2796668688987043,1.24917768275671,1.3006814838709169,1.3447904489595626,1.229194791376154,1.3798526162755964,1.8832529640583906,2.2790474540880155,3.142862357219554,4.50663275371714],[1.1240882834945598,0.9938935914743371,1.2055793322289683,0.7102688632741901,1.0226259641404725,0.7233373252921753,0.643111993218831,0.6934753848101005,0.6422900776117391,0.5499371918817161,0.5470947049541377,0.6347686160285825,0.5634844255213103,0.49596067455025517,0.531955942158073,0.527635810748597,0.5386982779996807,0.5262149956413437,0.5555631636227281,0.5745115555719621,0.6187485944562247,0.699355511770728,0.7868432391714902,0.8615328232901536,0.8707689798139145,0.6737716604664891,0.6097904094291439,0.5468110354236435,0.5701623284357534,0.6133123918491978,0.5686101399569551,0.6143499270917472,0.6536876421153427,0.6031757979211818,0.6256853978366188,0.6055372078044344,0.6607735850527816,0.632836556454873,0.6323758529153766,0.716858663932474,0.7693645449695995,0.6458048016895499,0.6853118273365533,0.8294334270684695,1.0983671873324048,1.5723645749820183,1.7935463934352291,0.9936094458936096,1.2214542045822467,1.7314823819305745,1.1574995682517646,1.446696601298305,1.2075741482966131,1.085152113734334,1.4936630625430383,0.9415633681480557,0.8256631197690245,0.8704628255746638,0.9029466055718892,1.0878022308329542,0.7680677462557759,0.7232747318397759,0.6558816993345323,0.7511147063160615,0.6572049301117375,0.6316465445332854,0.7418708636550174,0.5672737365371947,0.6898852887281803,0.7917673282120891,0.8937259815553834,1.1031042644730615,0.9892367234941449,0.8765315567664748,0.68055531578619,0.9182769639478459,0.58853372345898,0.5727400313405367,0.6097286324928296,0.6771430130570982,0.7173933855001893,1.0426411153960526,0.889081294777438,0.9941847813035438,0.8741427522798114,0.767351067377406,0.6818101271367655,0.7338683017405594,0.5855082701089317,0.6614541443519798,0.5984380643873327,0.747975172138536,0.6561856767002724,0.5764894741928818,0.5747562883153543,0.6768432659331532,0.6603365663348991,0.617329886408472,0.6641883429683029,0.8735787598218708,0.6987952010219103,0.8828380710110624,0.7809226462569021,0.864529232548321,1.0394827658997876,1.0183869951625089,1.2749081104194604,1.364888007286963,1.3538411247943523,1.1999877030571189,1.1176813840726858,0.8999898092244105,0.7004144566167309,0.7004276753965888,0.545678087303007,0.545883624350696,0.5796584306938608,0.4905495835480094,0.6330542629922112,0.5557411078782147,0.5586462857337993,0.5399352567231707,0.5098983099543318,0.5020674322791877,0.5564246026554787,0.7178746038300992,0.8432921618004523,0.9118402404092741,1.0485798995607798,1.0453134235892865,1.2960096078786898,1.4014381203999078,1.2793631124263263,1.1688161161916437,1.099463859928596,0.951121493430887,1.0450570292191212,0.8050601893258864,0.5650667733393544,0.5701726321573404,0.5850836335049103,0.6679615615590045,0.5441602321713342,0.5527424619397723,0.7036187081506499,0.595712169266692,0.596775686462729,0.6650300281059015,0.7067371356145619,0.6785672802208662,0.8026706674795898,0.7305454707976117,1.035243954270438,1.4930059720118403,1.174147722737622,0.7836917781077778,0.6884953832467354,0.763072284281969,0.7310314486735165,0.824944768169288,0.7966715367982731,0.6922208330746455,0.6710730637926807,0.7180482966301237,0.7590149616386279,0.8689923832180572,0.961192456398903,1.101660274373098,1.225486441675287,1.0294801167078729,0.9510691880702563,0.7691022876596602,0.8652924571058163,0.8225229284428983,0.7962396726747468,0.8470671380731755,0.7796338945777249,0.9245111513069495,0.7990347164163148,0.9114129024738663,0.9302526127910254,0.9334391149292088,1.0646845201283706,1.1643012223395255,1.0653821141236346,0.9915764032918127,0.9787410466844662,1.1290766719091152,1.8328068423783654,1.18513581345854,1.471604147161397,1.0692898514299962,1.206722563718598,1.2626034610210863,1.352400424596114,1.626420704580435,1.506735280953099,1.500878759856904,1.5551785029933771,1.5951288384100852,1.4580032980502566,1.2873328895014406,1.3442283090511116,1.4069446131707384,1.3033888034832215,1.1903743325272165,1.3423868749565908,1.3179433959830433,1.1960682545046635,1.1560070924469659,1.2218169431039925,1.26502641792246,1.3209157991370366,1.3597384700229846,1.378732044313756,1.3203408935519647,1.513399395532361,1.6191807956511017,1.444245870616825,1.3999202104819404,1.5210115248630136,1.7393692624364556,1.6694465357053023,1.8570870721737052,1.5260811913080217,1.4591806717426339,1.3777406957208032,1.4617444588495931,1.5678411322646886,1.4851169962660666,1.5230127880447688,1.7209461191239108,1.7952176604194432,1.745693195950523,1.8910976681840348,2.162511858996336,2.1262690659497867,2.394609686710475,1.8521951479683885,1.5844505096628163,1.4323084123361647,1.3016959204832803,1.2596442441796336,1.3101748556567068,1.2453187528712386,1.248339775065961,1.2095983643412844,1.2224536690457657,1.1943245400519624,1.1952777219033486,1.245188434445335,1.3091039064205778,1.221635510541095,1.2642358699429634,1.4183906836795004,1.5270266048870782,1.3269052526704734,1.350367738168706,1.276981352606998,1.2429252635718644,1.219418421709135,1.2867361759885596,1.3233421584188303,1.2795317318713213,1.3744026879679119,1.4764038891156477,1.476425747959388,1.5443988055886588,1.7167125533807697,1.9594910605294955,1.8190881956339613,1.9495883021078821,2.0408869877030567,2.214870679722828,2.187440097746879,2.131095521095888,2.382182760642087,2.4002982195123863,2.0302820168609963,1.8743722577843103,1.5634855114416828,1.2715222095172583,1.775001970057065,2.0363547954387355,2.299440469646793,2.283557053079992,1.888594030855155,1.5454640327914468,1.488718382589676,1.1581108385719716,1.2163547632178857,1.156768242345913,1.1233621197465897,1.293599605734288,1.149837963166479,1.047239268971601,1.0916081077092539,1.1837582134117777,1.0703689609651947,1.2395251754017043,1.768523147840419,2.132063941337114,2.9745699933733873,4.473690111500484],[1.1771392908705236,1.0765644846800309,1.3603881754809672,0.7819018602892566,1.122447441121205,0.7675281485877316,0.6556612597246546,0.7044646166452877,0.5933698205446415,0.4991279129412716,0.47077506720727513,0.587074854334761,0.5291887286659634,0.4641687146586486,0.4995217151189393,0.5246767500569189,0.5285496331729791,0.5036136272779789,0.5417215807452895,0.5779043374101065,0.6387315611154298,0.7132519380445033,0.8355093508981022,0.9509617898192686,0.9476890820547397,0.7154168816469871,0.6539995434349322,0.5674187788436843,0.5640481702703048,0.6033549794683325,0.528221306919622,0.6160050358244522,0.6014881760137444,0.5749607258150411,0.631661683493883,0.597623313634136,0.6959243269650752,0.6590769806306154,0.6866793788478008,0.7860469310334648,0.8175914192307877,0.6757023264522998,0.7406285125341184,0.8897813525116107,1.150329211111191,1.5935019538930855,1.8181222474421663,1.0562402150178478,1.2243237164683687,1.748125172564002,1.2600618068466003,1.592785436309541,1.3483616181202265,1.2200693116772496,1.6347346072521074,1.0548035850723532,0.9182416498438534,0.9472575987560132,0.9921939577842546,1.1656741001467152,0.8028507857996378,0.74910399355902,0.667124166308082,0.7536739588381204,0.6738027851927879,0.6413481694048111,0.7318926681418454,0.5392108334901144,0.6535851651697588,0.739302528612536,0.8650213002702266,1.101598250633083,0.9502108140668909,0.850028044236987,0.6207302296200605,0.844874529559872,0.5431209425839364,0.5423725774022281,0.6146226586878305,0.719840408308826,0.805047329058623,1.1612535124590964,0.9693402481216218,1.1484691982968371,0.9773269814906578,0.8608941867919458,0.7347711738846685,0.771705275627462,0.5992218007124948,0.6662457831697204,0.5620277339032422,0.7669002169998612,0.6391193515774183,0.5229696305341919,0.5233320871055458,0.6026874583616426,0.5811125308218213,0.5607244138415234,0.6085236872709674,0.8365988917104473,0.7057271676029716,0.9338151846489594,0.8523048578898472,0.9492425026085286,1.2034848442068768,1.1450451209840775,1.4532963676433455,1.5630849548681254,1.5364234635380234,1.3507802705284508,1.2600952919404524,1.0062162843548796,0.7463744012086249,0.7323684823933323,0.5448223307707851,0.5562008740006837,0.5986112627247407,0.5112283484053554,0.6536937842957167,0.5265398573915796,0.531455482375618,0.5005510155080891,0.5055796773092653,0.4739111153595984,0.5364754562174865,0.7360277235846704,0.9079136078013426,1.002400262757488,1.1730380904789905,1.1953334277659022,1.4817325770039154,1.5978223868954264,1.454587947720203,1.3433551801493284,1.2363124403725125,1.0442947780140774,1.1652920841504744,0.8782938180449383,0.5695241402837395,0.5748856892439299,0.5786454398985899,0.6941754038452308,0.5521339629053316,0.5673154017379788,0.7763104094300077,0.615243494150875,0.6137285622416117,0.6915490448478053,0.7548861735223377,0.6820553791454039,0.8356568132533486,0.7491131431199707,1.0577399836541126,1.4777054595369867,1.1247914079899874,0.7993195879691003,0.698251497556598,0.7970229428120832,0.7833873875020549,0.9074452504928032,0.8825289678325775,0.759293062460436,0.7175399232534037,0.7714058144076504,0.8039949303220444,0.9224110832783016,1.0478231381357825,1.1636207843164157,1.285157032495337,1.0729702718885574,1.038732110252991,0.8413687503156894,0.9469456515651791,0.9135203186124795,0.8925207785270087,0.9495248657735177,0.8484560677183394,0.9871532999003149,0.8994736193336103,1.0009694144791552,0.9465329550203981,1.0602774205775678,1.2145589918476458,1.3087381102773339,1.1973883052880554,1.0693764863350346,1.0266304968129218,1.1484525938634305,1.8181520545705543,1.2956080614726104,1.5909967949658685,1.1894867855874196,1.3474526204922956,1.4031826346482776,1.5294705723462845,1.8551185290263308,1.71703433968074,1.7390612028090486,1.8036216519894286,1.8250296287631615,1.7254307576152539,1.5310878207306187,1.5552420653624965,1.6537246543823982,1.566038783622738,1.3965656419308317,1.5346598968642657,1.547443957525791,1.3915698597845059,1.3163226013593932,1.3931095129525835,1.413270780647198,1.4025750836769793,1.4864343387305186,1.53507179632468,1.5317430976127653,1.6538712333933971,1.8345787694761937,1.6921183910326674,1.645689864302077,1.8077867815185182,1.97949639347423,1.9527242223321415,2.081868585566927,1.8579168772994852,1.793649975013907,1.7036350863530008,1.8047124584055454,1.9188369671857624,1.815869602723934,1.8355888537362408,2.0688472196443053,2.1117311555633282,2.045997308139484,2.2095931016861416,2.472805172875211,2.4112554139598847,2.6082739272270805,2.0966660388070677,1.8502774131102806,1.7447500329833974,1.5887259509658307,1.512409262653544,1.494931590900351,1.4748323776654828,1.486178364274722,1.4243903730615588,1.3805932182964151,1.379511781768059,1.3927910663425977,1.3594429730075588,1.3475298864586318,1.3215777478790838,1.39123495746575,1.4395345554930723,1.5251262015475509,1.4260669031618887,1.470972823474139,1.4599737964378543,1.4608680022500373,1.457873164651279,1.5760180927856624,1.5873850593541667,1.5405926245576569,1.6805857172600214,1.7830112702416236,1.765196664364486,1.8373676497062308,2.020190121559157,2.2300294984419993,2.0859079421324465,2.239826721471348,2.354302701333133,2.491042917637046,2.456823800189043,2.3655038115093605,2.614784051587938,2.588677759402206,2.171136538378488,2.0029031271600117,1.742367822808477,1.3956345109433397,1.7684789214681256,2.1217660319039444,2.4278152927680026,2.407623935481946,2.0904782666060218,1.6925187376079847,1.6997642345169355,1.294508062255813,1.3149177197264386,1.323911701512891,1.2935906580447831,1.3180610921115037,1.2572746414092162,1.1472980263055512,1.167459550766011,1.2563933279066621,1.1822162921953785,1.305295307986181,1.8257126353288282,2.128516187942267,3.0438904327411915,4.643704317816225],[0.8750244970911992,0.7113016208410862,1.0902630559698814,0.632551517722813,0.9348468207278788,0.6167619870033024,0.5691084052057329,0.5921867303655715,0.5791418371369561,0.5728010440625461,0.5772891569063701,0.639334885221084,0.5769509215101786,0.5967625407688918,0.6204231535893017,0.616929060019189,0.6498504548421266,0.6470210699207294,0.7042187568744855,0.7150250158424424,0.7703614364106882,0.8427418888475189,0.9315639353652272,1.0531741149576324,1.0331948309753318,0.8413177634488801,0.7652361410672205,0.6853055643670333,0.6652224132107545,0.655584190749582,0.6427513900400963,0.6612855618939554,0.6689222075002288,0.6445349183177472,0.6740895472601213,0.671594707557887,0.6958154874868185,0.7154436125609044,0.7405073523215951,0.8155731072920853,0.8875009725483733,0.7955322208797259,0.8349363001242455,0.9905767897387052,1.2662437713085097,1.6916994406633858,1.8735992423650445,1.132351093475358,1.2907715535998256,1.732194744445434,1.2577495716379332,1.5565566566847941,1.3108844113553453,1.2039363819294444,1.593854502124712,1.0666866703288185,0.9741961225392819,0.9778593831272955,1.0072656264853308,1.1860614379382624,0.9015777491618453,0.8515387673727461,0.7775241867258647,0.8738114866305693,0.7925454068035206,0.7581386803734511,0.8499219255684353,0.6818944051339758,0.7862882327952749,0.8751223471296817,1.0081688423454929,1.2330089539138052,1.0581335287715308,0.9377640211364253,0.7918724652313539,0.969384801884332,0.689439279675592,0.6499214780775572,0.7035829711431425,0.7820836317673128,0.809723146697807,1.130193504058371,0.9140564370124072,1.100749898137139,0.9510145241218431,0.8420158469081135,0.7673375786038256,0.7719252019102267,0.678953979204077,0.7145596554259416,0.6576558198139574,0.8840108573176336,0.7515893212562205,0.6271633150324201,0.6346265981227922,0.7103034213889198,0.6963923727454321,0.6410530001391836,0.6422617319266242,0.7946546408441953,0.6932128351120539,0.8280320450055825,0.7586112173748932,0.8012483214894051,1.0559692892458326,0.9898736547031273,1.2611803795443104,1.3772689117519672,1.3538983924817536,1.1652937145535796,1.0830210278179357,0.8785029134710104,0.6610528198817,0.7106896108024202,0.602446037912977,0.6482781007847194,0.7216157397501228,0.6715444405850449,0.7818569470971325,0.6977361226976583,0.699565653042019,0.6625758343582251,0.6803268704706517,0.6105533272199292,0.613541045811843,0.7336744130604118,0.7965174885468045,0.8804735708090636,1.0225685326015872,1.0535676191514793,1.3239462594603248,1.4148574272715,1.30609642896278,1.1914325889834323,1.1215731636469481,0.9563611041693587,1.0709157052090827,0.8383900966992156,0.621206273052283,0.6346869675011174,0.6882509874244729,0.8116767896586391,0.64869076292852,0.6645317231041191,0.8413724161470322,0.6880180709971486,0.6763458235158295,0.7067525002104013,0.7001883517444784,0.6224148876752027,0.7388486382998982,0.6228548101140077,0.8495434435873997,1.3967903518904685,1.0982427450336316,0.6896563792979743,0.6417185652235724,0.6874414345948268,0.7301927542735752,0.7895100292620741,0.809035111270494,0.7443953926110819,0.7220650091783886,0.7625491818704456,0.7862604269537538,0.9075292415271308,0.98429389128833,1.1206616109078213,1.222834659701145,1.0426093901349616,0.9670649950720565,0.7947348795202724,0.8839225444502113,0.8322480695706385,0.8142438861944047,0.8382937292958059,0.7932901198575285,0.8666707388787409,0.8334982601833111,0.8944577006189204,0.8903653757979967,0.9297648787040378,1.084576893971404,1.1861167426559451,1.104401375457685,1.0413881508639875,1.0482126236136255,1.1976679621414934,1.8701513957463864,1.2509813753512833,1.4872390223392609,1.11462117650502,1.2379382282062537,1.3002339334830242,1.3892791689240502,1.6718289375777602,1.546818413288269,1.527968990198022,1.5996603831659604,1.6302591540697933,1.4742026230630882,1.2758749818840507,1.3278086821772115,1.3936115470379606,1.2757962759992327,1.126647177099372,1.2579402345521304,1.2435381709666427,1.109142093955991,1.0525343002190723,1.1139968061121954,1.1851268348143613,1.2327243798951815,1.322958100250912,1.4113578709529673,1.2828399261482002,1.4430599518650569,1.4808601063706797,1.3756348327114938,1.3432266545397504,1.5006699784329118,1.7142833987971553,1.6401214035209803,1.8167408206320959,1.556988933875124,1.4809202001032729,1.4647906709967033,1.5440371396710302,1.6043661927981836,1.5409204671532466,1.5702648528401937,1.7839015181477742,1.836868284208343,1.8119658636450215,2.017981720763897,2.238669480631542,2.1853566037361882,2.5144611193017754,1.898815741681623,1.6226954498069217,1.487005191300518,1.315484018471052,1.2243078731366113,1.2471726207583385,1.205919652582805,1.2057550055707569,1.1528781976806606,1.106797915531658,1.129517260762669,1.1206718758763705,1.1146083131351698,1.154009702320052,1.0840356510631812,1.122565421475298,1.220390492858552,1.3636484864109881,1.197202345343807,1.2284710324400112,1.179264930492981,1.1756500519798243,1.164380886496928,1.2668214750950137,1.2897536995386358,1.2375096107723262,1.377631507212294,1.4729220021839373,1.45600036313704,1.5474451892228764,1.728170090374136,1.9442972323830465,1.7838066912392223,1.9417796951853146,2.032581354751485,2.1495662052609235,2.120809869923613,2.038806959915812,2.282004327645204,2.218768036948585,1.8398125655337156,1.6511275497104598,1.4182658715665384,1.0796323346086876,1.437972423471438,1.9216999751502097,2.2676140533415587,2.302751744142854,1.909491359023073,1.4970845357701337,1.5086351161412848,1.1342189983782183,1.1132163957552001,1.091956858607762,1.0410841394967907,1.2117368359149803,1.049842277111387,0.9447778166177695,0.9511739716338539,1.0765209338113946,0.9062829717877298,1.1154080986566242,1.5865948268929642,1.8114196037104875,2.5682913104669356,4.075961220659082],[0.8242825754557144,0.6811682922314598,1.0630970968680455,0.5769004703022895,0.8170818520043388,0.5530000418356783,0.42988813288588845,0.46799036614480527,0.4397012237659602,0.35334071797725186,0.355945468723507,0.4724752490794027,0.36848475025586486,0.34674446213619,0.3848981087722799,0.39425453512122594,0.42803747754263355,0.3867164735847016,0.467087373092016,0.48865107916407374,0.568416539759121,0.6682007716692775,0.7917000073298999,0.9117395800827583,0.87411447866288,0.6486877001832807,0.5519270103509047,0.42044290507338483,0.4246901534261483,0.4424854848880564,0.42156227030251475,0.4589584657136785,0.48772403853449103,0.4442007664225271,0.4675321705273585,0.45973374485335916,0.5365716854156962,0.5022838886167126,0.5365344202090314,0.6505641820926666,0.70647155665697,0.5899277836146851,0.6640009968420312,0.8339991239529967,1.1443896709674113,1.5588189039397073,1.8092175312278316,1.0267865933806293,1.1277715732032705,1.652941310425092,1.1932115858863899,1.5212920882773329,1.2450477233123576,1.1248645788679654,1.5433632311965724,0.9579390672645305,0.8520801955628216,0.845851885107531,0.8637987373724679,1.1230855856201776,0.7410379425577857,0.6747357082498487,0.5682353639737778,0.6913093071205673,0.6135839804705813,0.5613883255135316,0.697592941625185,0.45340336920639,0.5858844136909047,0.7214241495126583,0.8217031185339272,1.0638790713448834,0.8824935394581189,0.8026606588153912,0.5591604421499946,0.8366418139988794,0.4597641387350476,0.44828751928738586,0.4972809096155766,0.5986637215286001,0.6477289518469769,1.0250991369777143,0.7900864708908779,1.021228462630779,0.8229373790874615,0.6918617921704302,0.5869273716535601,0.6376710473755397,0.4703250775475272,0.527834024557668,0.45812950809814335,0.7296780325934289,0.5770738338623053,0.4363329055933501,0.43288136262085547,0.5520885181561086,0.5744063524849349,0.46562464056783875,0.4765350862186545,0.6681708599404064,0.548794048927249,0.7436509642309886,0.6248185032451381,0.7138054731689956,0.992266686475499,0.9160864332075981,1.189222966369927,1.3301555823914635,1.3006687114105209,1.1030490424249983,1.0004779809551705,0.7667711092141872,0.5044297726341382,0.5356358127878244,0.389292097277312,0.39739485582616957,0.4437702859185226,0.4122918361374676,0.6010246221469112,0.4348120884473884,0.472707924374054,0.42848050881539146,0.4234609047869454,0.35227568215387267,0.3791529640943615,0.5457523138949231,0.6676982617764778,0.784044069171636,0.9381238380724495,0.9932780946631636,1.2947391441786955,1.3745253429103692,1.2772183224139722,1.1420105001035172,1.072776577805285,0.8702895941355301,1.020573444891694,0.7527111809680179,0.4547367295108207,0.4488248464945965,0.4911916609506213,0.6621697527017658,0.4351390269803336,0.4328840682224443,0.673449490986153,0.46015191883424233,0.46133792789442796,0.5096020792900081,0.5379641271070678,0.46152292723624994,0.6457568129616651,0.5191452263966536,0.7550061384588946,1.406526748364166,1.1108653989218478,0.605783778000975,0.5209510991972524,0.5766991793931479,0.5835402192229144,0.6818708580157113,0.680841305053001,0.5625522325532676,0.5605332766653462,0.6084710768612988,0.6589643958277522,0.8349361396783815,0.9219778133014539,1.078064440935812,1.197286075894579,0.9693919108230034,0.9174573759545376,0.7010831848292031,0.7786192829679158,0.7204313337786405,0.6831788618827768,0.7244299629519865,0.6548219191303501,0.7207296974112887,0.7008632004865224,0.7726813103413405,0.828252645167038,0.8350696551896801,1.010637750293809,1.13841000344085,1.0461557800717363,0.9502787817161441,0.9509369224519959,1.1247958175582355,1.7893546002797374,1.1922451332217157,1.4823896812160582,1.0702991682594964,1.260229192118997,1.3081627205066995,1.3997999964350305,1.7191765130486512,1.5804398486534779,1.5509623632294056,1.6046051382960058,1.6164984684047996,1.4623856712002163,1.2402226442235786,1.280914943280103,1.3524316521402835,1.2382418331985452,1.0772143083654944,1.1737964798869969,1.1801984930527027,1.0571483454511545,1.00738673014744,1.0682691991574569,1.1415263782613148,1.1975389195521116,1.3009722114421707,1.3833629721967666,1.2306179880904398,1.396279826904805,1.3835227328935,1.3022640197836364,1.2842160241395693,1.4849569462355554,1.6818624297041251,1.5966169780110133,1.7344696977163574,1.5492903281258394,1.4854119003723263,1.4688641024356168,1.577508342435392,1.6342427389141638,1.555970180960196,1.5953470096090492,1.8458819803518693,1.8707107461303851,1.8511885984533274,2.149453168783473,2.3326336613009975,2.2457900290132784,2.5937085309615107,1.8880329009992793,1.6358176833571771,1.5051192534573552,1.3102588857638657,1.2148003047977782,1.2169367653173297,1.2072405440104537,1.1785731379987736,1.1371868948164252,1.071875389429498,1.0974784752204148,1.0767257965355754,1.0568020640842277,1.1046937503803305,1.0374180626629,1.0685369321375031,1.1639116826215439,1.3340102093272042,1.150916069543967,1.1753178077936672,1.1284706785536494,1.127146423185636,1.1287116727736255,1.2368273116938657,1.246411663184092,1.1905229652836893,1.3545189897643235,1.4518987924541125,1.4148887628638736,1.520681438579036,1.7371932746498462,1.9309435698185111,1.739897503137887,1.965232255909341,2.058942983719469,2.135120820665482,2.088424423804485,1.940334580541218,2.283110991214028,2.1156729011443187,1.6594840408509344,1.4456688412734149,1.2809582787435225,0.9834280965418164,1.1571944855540626,1.682000340245554,2.096353695466394,2.1862129368657555,1.8475164475412276,1.4033065554830684,1.4763941868503867,1.0569514566090619,1.0349502734701796,1.029831602654022,0.9953074976711562,1.1859614367224578,0.9888187039506998,0.9150010292566142,0.9092895258785734,1.0313747456301967,0.8363787122997465,1.1068775634078887,1.5048357309799922,1.687445306082112,2.3321106426869647,3.8436610427036575],[0.8200716243403859,0.6330697043092803,1.0452421443468745,0.5134457752773617,0.7261296455944273,0.5225062185570448,0.3999585439239726,0.42080053615461654,0.41875344809337617,0.34482187533150427,0.35426643728120133,0.4609291614826182,0.36842463787483964,0.36127159002875714,0.39035816892188996,0.39424635289589705,0.44053473029509155,0.396197128362747,0.48233641980917125,0.4829470073413275,0.5698537239007886,0.669370759188706,0.8128200708400103,0.9175345719632133,0.8893894298628823,0.636703288292466,0.5433397477025862,0.4070454633887099,0.4275123784439031,0.42817505812400886,0.4329207612334444,0.45493366863746953,0.48687841372306767,0.4656972260421755,0.47264541802380655,0.4685374183294582,0.5299470783867918,0.5044923987168903,0.537617293502565,0.6688230891700598,0.6977854345398979,0.5781563165068623,0.6607437478724195,0.8180833070073504,1.1402400786152067,1.562938601342593,1.808843679111384,1.0294740292009774,1.1091065313265056,1.6516930034961401,1.219233429780102,1.5753773390919779,1.292839576120924,1.1627124631254362,1.6027273864007823,1.0047743234211073,0.8840368194236923,0.8680178712210829,0.8893296886880061,1.1579725086474881,0.7627925328306091,0.6990790878726776,0.581759119895987,0.6854929905542176,0.6084342259271117,0.5700873074686434,0.7047677163351118,0.44916450259311813,0.5843184609910214,0.7272817176538598,0.8521006504053197,1.105838775601296,0.8754648290791234,0.7895464459339492,0.5747077715776067,0.8180758111108597,0.4614209602624555,0.4661092382019367,0.5177024652392966,0.5955389271144942,0.6603507533607833,1.0618324893874926,0.8202407301327349,1.0754694261199076,0.8315914640672888,0.6968754627043534,0.592768909008358,0.6431863770289704,0.4800782749296073,0.5479732090258854,0.4682073071618831,0.7272149274652459,0.5891708471892091,0.4406488522510561,0.44134091759051686,0.5682461979849848,0.6016841656201839,0.4750329004847371,0.45940051792298986,0.5916222953379195,0.5068853537500446,0.6654023436217824,0.5899210563382874,0.6836869009578529,0.991250243200724,0.8914346856679985,1.1663560879799355,1.314881490066672,1.2606283795973996,1.0351178564181838,0.9183204806937951,0.7086092639573223,0.4499444796211442,0.4934213020961877,0.3856981749845464,0.3797870376756157,0.41776424352097985,0.4168822231822371,0.6027960492911711,0.42113657033660434,0.47573276867173914,0.4252424469645628,0.42871603345302745,0.35410780917951995,0.3649518816044211,0.4790955865047265,0.5859726046717673,0.739547418713987,0.8970511461963971,0.9902266348471122,1.3084916919426772,1.3796981013664986,1.3078082474820587,1.1609556681605104,1.0965106784332639,0.8679317328056761,1.0260437094105468,0.7537633337724803,0.45668785212981416,0.4422676112485495,0.49185160586280235,0.6901599544673092,0.4584690299516823,0.42606208589464417,0.6671241136862663,0.4491504987072709,0.45034758895087124,0.4891084419517974,0.5022386035492102,0.4147657424886967,0.5754906873660026,0.46500921804437684,0.7138342999573247,1.3261365245042571,1.011587324103649,0.5267775676585442,0.466843739242388,0.5130165143444487,0.5576624096231865,0.6571772484068052,0.6667342096608204,0.5540337056654973,0.5526233830539106,0.6091502668319896,0.6531313633249609,0.841275057525537,0.947783904168199,1.1152953176067362,1.240097201770742,0.9840655847348022,0.9379922427568855,0.7046998170467389,0.7804989414483939,0.7155862607478024,0.6829392622219557,0.7129208810390353,0.6393295314688612,0.7059123223751639,0.7068883941256092,0.7640111729013899,0.8007820253716208,0.8334994863960651,1.0254129136507353,1.1639436302520996,1.0767462107375585,0.9658850641341677,0.9613493417743341,1.1393912704280884,1.7622624321437177,1.2067619895376418,1.5188404944429479,1.10496843243513,1.3093269374763499,1.3548536214544904,1.4534280589171367,1.7887802370867933,1.6265723781383568,1.5899273726329364,1.6260047387179086,1.6157137266270514,1.449274627069559,1.2017245689037201,1.2265023571755813,1.2908901157903017,1.170060108654355,0.9780976699361558,1.0403896588756616,1.052706463467939,0.9283662598598711,0.8897728701627546,0.9489915818142389,1.017850732355224,1.0872892989445562,1.2391153823294603,1.3310504869435154,1.1335667973842973,1.2594385048067913,1.1858163515228064,1.1464857924172704,1.1300805806340888,1.3704292109020493,1.530535137700618,1.4938891268269312,1.6310449396748377,1.5050718966629615,1.465851708214616,1.456826887015357,1.6077516872434288,1.6318271212655913,1.5614122186181811,1.6319212489410457,1.8819708394360952,1.8905360424711624,1.8860350907602672,2.2396162100013677,2.4090282922817186,2.2615665029729373,2.647381685430105,1.8821778946704932,1.6682583575116023,1.548084733645451,1.3209703476624663,1.2189649627503767,1.1870752347930573,1.2083505843652707,1.1687742434308823,1.0826918060390556,1.0043570925574248,1.0314588637323263,0.9908310569278631,0.926776014216785,0.9479858783302314,0.9038266213071081,0.9372479623092598,0.9984918535835908,1.1901348437477965,1.003462843060437,1.0228070648101089,0.9924928525893498,1.0199620983832463,1.051036046011906,1.1736388263294744,1.1452374542986814,1.0857666246228261,1.2992054600234761,1.3747611744633814,1.3120395599909296,1.4582289720588533,1.7048968772405535,1.8404070565483637,1.633911657427628,1.9224379997802772,1.9920284077635904,2.008184101136431,1.9616875948017078,1.759282313346728,2.1538971156495075,1.8609324443705946,1.382825659887824,1.1420729876934708,1.067039916551919,0.8661782289010483,0.8888690449995169,1.3537571327074966,1.84829926568246,2.051194966268983,1.7540178511618554,1.301661392055138,1.4540225662375084,0.9890804084430648,0.9150785129400391,0.952263211221402,0.8995632236999689,1.0291664533809066,0.8811431844017129,0.8280102940053077,0.7928710498476578,0.9275729296778938,0.7601009944586915,1.1312032306497937,1.3455027069022578,1.6055851372994943,2.1186698226674676,3.630746254090241],[0.6775589546232584,0.6830684354322363,1.1602590975635647,0.7611775264819083,0.935763749246134,0.6963020783951338,0.5808559500810218,0.6113505350286468,0.5706894793179524,0.4964643552195608,0.46286981051545106,0.5654925917400759,0.5207200487380911,0.47343966414011035,0.5062085279710965,0.5223054639044443,0.547425065737119,0.48947610722243795,0.5230628564841993,0.5566115385331557,0.619732395773976,0.6787358060221936,0.8488872181346193,0.9549574083927194,0.942591745100948,0.7059255060860029,0.6454904951591217,0.5268234542213587,0.5401918921049214,0.5689275027702363,0.558654264117498,0.5895036922358736,0.6114954129564867,0.5636769267809836,0.5944761101654369,0.583566463262991,0.6592485266068069,0.5942858076532596,0.6644522866359441,0.7569122230773453,0.7640630808126527,0.6141063863352442,0.7059401627736978,0.824341520367011,1.074516437774141,1.4828349100180134,1.7781987146375406,1.013567242531102,1.1254274867461127,1.7246949547104793,1.3096093411317784,1.7096529191348029,1.3761644505800523,1.266170964319394,1.6480841691260304,1.064984567404458,0.9461227536716704,0.9249032732234413,0.9344658191029086,1.2045614764666055,0.816769681919757,0.729529358434836,0.6310115120710867,0.7274840452119266,0.6450737721750769,0.6171585846062879,0.7341834474337345,0.49590486683386853,0.5931403978217038,0.7335765396427886,0.8476907758746756,1.0943095535140865,0.8695489998144287,0.8017742093969481,0.606045601066485,0.8840587567692743,0.5054545868643802,0.5389314676954089,0.5707131169159528,0.6576865088730109,0.7722191263776026,1.1552448738179717,0.9216231343039912,1.1629238837818632,0.9749445277123641,0.825707989673848,0.6990105834592504,0.7465299864465363,0.5665794548518501,0.6132724885991946,0.5511995841353412,0.7751782045144977,0.6502687992100405,0.5544456844553116,0.546691632546542,0.6392059980581772,0.6588232631084838,0.5802277804083188,0.5910929859382048,0.7253505740385965,0.6714111845122285,0.7799779537194315,0.7459538062427422,0.815956352551376,1.1247778466536695,1.0375295695130526,1.288172671271114,1.4554765769795308,1.422310633239459,1.1925637841417243,1.0935840200730536,0.8923865599253594,0.6731892681078645,0.6594218838663414,0.5227676983012968,0.5276964067030907,0.5241024763696512,0.4908139672781753,0.6281253760382277,0.4737117576971364,0.4956183939154285,0.49206807017497256,0.48444764622404957,0.4623487529614406,0.5234436731054608,0.673383522661418,0.8047407673132823,0.9287923902391162,1.0869581329330933,1.1525141328668456,1.4475622023111177,1.4691151875427422,1.395873797222105,1.2726438492571468,1.2372974344019554,1.0461388439707426,1.2366437854072907,0.9798768161337359,0.6529822977291311,0.5987843829893966,0.5190278864391572,0.6801872835668124,0.5157245130746303,0.5511569225100075,0.7706458953649569,0.5828970764208572,0.5988551949361001,0.6394327428327854,0.681001517637764,0.6031983656809934,0.7397679627032495,0.6605100150278203,0.8347174566872909,1.4654342988580262,1.2008607694091409,0.7131219274716991,0.649722670784736,0.6709293440136784,0.71702909752128,0.8215330695521854,0.8298486994694512,0.7028500239270635,0.7003180415912801,0.7393199655079511,0.7536179488241909,0.8755703642370773,1.0692493058738457,1.2105515452059552,1.348950672105448,1.1462556183062886,1.1095080945036329,0.8869744379807778,0.9306281387917446,0.8580046293068028,0.8198978244059696,0.8595594827119581,0.7941620382257362,0.8321397911766326,0.824010820109403,0.8798918307909673,0.8528260547941936,0.9700007830573719,1.131614857935869,1.2292518464857964,1.1558856076642463,1.0193345250744201,1.0072767643452507,1.1522951426481143,1.820382332139865,1.2947914331628934,1.6739593536281068,1.1833134771820337,1.3897988341095826,1.4285100561074262,1.513110978082946,1.8283108133811194,1.7265007321325945,1.6787907663215478,1.6988769041024756,1.7472148807021253,1.5269391344875416,1.3119016801617427,1.363103105672982,1.3820396002274544,1.2432245254539225,1.075021663990692,1.1466245506352226,1.1147376346291769,0.978400019449086,0.9332380418118423,0.9646526979861878,0.993688597201058,1.0562761640267118,1.1760437283649707,1.2512681980836817,1.1138295375216658,1.2014395372242364,1.1724282634659036,1.1506301041428186,1.1158653344060392,1.3354332725809224,1.5175689131155452,1.4584815978875751,1.6632931026256081,1.5074899844293452,1.4678938942244375,1.4776795163132743,1.6109190757846135,1.6086645879316914,1.5730360333144373,1.637792017997363,1.8533962011167826,1.8681141292552113,1.877169842512071,2.2407955987276105,2.3889053953104913,2.236611985264028,2.679288455746999,1.8943185493423707,1.7238128614793462,1.592785769240044,1.3688529696197616,1.2914291293303568,1.2306290541838139,1.3190084855384343,1.2537170074369635,1.1411944585854705,1.1046918309218206,1.1553179595996645,1.0749066700212186,0.9951724168827832,1.0231237817675463,0.9570640312271753,0.9622822685611749,1.0086495810670244,1.166770205020375,0.9958575523541521,1.0112697558413748,0.997301503214161,1.0527993111928957,1.0922703616288125,1.197036970327797,1.1538370541762846,1.122971892338734,1.3253799960353194,1.3708528088360248,1.3222330742384905,1.4793881775405364,1.6795228362695838,1.8022426610361117,1.621370932142249,1.891811038618662,1.9226996247067947,1.9392171731614367,1.894930272401574,1.719589922097727,2.0781864666138627,1.8087512560393055,1.3581096084653763,1.1732287952566622,1.121662454237548,0.9219250169395403,0.9770540094269577,1.4312880826996812,1.8458159798677887,2.1342676126578093,1.823471062081761,1.4598193822788101,1.5796358692830559,1.1900069607167707,1.0325268980695,1.100156174387578,1.0432993281795755,1.303744415187361,1.0698344681039424,0.9067441470614819,0.92872636848255,1.1331785987723342,0.8606465436106028,1.1012583964138816,1.3608266681897825,1.4792922556267807,1.7662660103346564,3.1294728956607636],[0.6853182431581649,0.5991397613989065,1.0347558528767002,0.5168373744457768,0.6444323929196084,0.5113199077625211,0.38716543817659443,0.3957160173693012,0.4371469195120876,0.3422616610629513,0.35769281609321807,0.4270805265460396,0.35357743560708105,0.36929784082354145,0.42489882583222616,0.3867065621915544,0.4286731720221877,0.39815954893849437,0.5126849492985989,0.4979902350715746,0.6352918434246196,0.7274240272611735,0.87041639813855,0.9800794345877225,0.9099584323959455,0.69066098341874,0.552379971588372,0.3961219284024886,0.38890396994028387,0.37304287751526205,0.4390968061690222,0.4002912196728571,0.46176431280682134,0.4129333224257118,0.4134823026975756,0.4341738214917109,0.4491294068854164,0.43974275252610273,0.4963829112556518,0.6227021741690475,0.6876386621177403,0.5725650866061588,0.6728101172226743,0.8422642199280409,1.190287076177233,1.5564062414558775,1.8560817094038113,1.0758149478260655,1.0883898546101727,1.621371693113169,1.2839617732559547,1.6650502518947585,1.330560514430044,1.1939806558956403,1.6034948997022707,1.016751860952616,0.8956138236805783,0.8640761322342396,0.8531966731623721,1.2254545061872937,0.7869365158879543,0.6991896587690954,0.589913524195208,0.7668445405566922,0.6773070323023993,0.6026367865052442,0.7645399717933556,0.4857863922725035,0.6315068740966855,0.7907019693663909,0.9098828807745378,1.175865438990827,0.9095228290233166,0.8551561351684194,0.6169459262202894,0.8703096299482868,0.4833710941357976,0.468736913021073,0.5022055549261065,0.5731112292313121,0.5722504732565249,0.9680839157869622,0.7390127710250269,1.0309439076223548,0.7902027215841038,0.605955150123038,0.5261025515279311,0.5857378763742095,0.4439159689753606,0.4820307799937148,0.4690876601446981,0.7509853995251229,0.6142116294806892,0.44979326660092717,0.4458735650677585,0.5963239850350304,0.6403199159453572,0.4610758484699338,0.4377651244472366,0.5539409457502381,0.46413462294272184,0.5657776696609146,0.5079917106507272,0.5995923785539868,0.9093148231674645,0.7886182687000024,1.0355739334212561,1.2089943076751037,1.1493093579555567,0.9078728673110921,0.7917776657459732,0.5987533689736545,0.40042649085517823,0.41387910163847574,0.34118641824069074,0.3528356492729147,0.401092368452346,0.44476442989761833,0.6456053081409492,0.427038133913042,0.49481374808850703,0.43181951691067294,0.4298155379240959,0.33001548562896926,0.3475950992068149,0.3977524672414535,0.5489956027804894,0.6566941453451838,0.8136949258386111,0.9295318453769317,1.2348934356654546,1.2694016317256405,1.216845628523742,1.070535609220214,1.030990242771337,0.8180434452269582,1.0011596395401574,0.762621583934667,0.491976036394885,0.43867987578132916,0.5026228843334032,0.7228227676782097,0.49453196540588085,0.4124554976047827,0.6223062804761232,0.39903779333266043,0.4027104839999086,0.43188375571447124,0.42654831317273,0.38558712151871577,0.517681402789732,0.4532416454714397,0.6704960946447627,1.3087185680133837,1.0432713428258291,0.4897290366670997,0.42142030847739814,0.44202697005514957,0.4718345123174554,0.5860055139830151,0.5866319431967589,0.4720888556542618,0.4890195586761733,0.5420317287217611,0.6106831360876905,0.8078435246826896,0.9230389921723002,1.1287859578691923,1.2431790279085582,0.9763099552312055,0.9164910654861442,0.6819557030164881,0.7113168324072978,0.6262468859674447,0.5809610581526478,0.6070764146449847,0.5527547237989798,0.5868022588977275,0.6027974500744296,0.6455185126914021,0.7279558032665366,0.7440613955130143,0.9314386190526184,1.0565406520254186,0.9887514958828201,0.891761189987697,0.9026361981071835,1.1822799130256183,1.7990053049147279,1.281854127393855,1.6174750442067996,1.089623788550638,1.298138442664179,1.3307268259932048,1.4229518066404945,1.7788684810034205,1.5891755722687277,1.5501417567953895,1.551524731432199,1.543931348701103,1.3637685848409489,1.1170592936485682,1.1230881077316845,1.1739030965853532,1.074037139025564,0.8705533468488132,0.9063955831072266,0.941984363785527,0.8366103096224163,0.8206970790514465,0.8878217252065803,0.9518249963046308,1.024500876703822,1.191311936652864,1.2947335595620986,1.1067612027589135,1.1920214159323304,1.114776522358825,1.0488968213178291,1.0580248024535464,1.2950400360073773,1.509566057688063,1.4368143255063817,1.5672148540253295,1.4520893999493345,1.4221916348926893,1.3991084072619175,1.601389401232609,1.6143552112296669,1.5200991246460551,1.6022582255202038,1.8793045741840877,1.8506875764868103,1.8405484033426496,2.284431225012912,2.4174887326151553,2.185029491415993,2.614729233533202,1.7543534385230786,1.6151804718171172,1.5213443388117054,1.2706454098796025,1.194440461202147,1.1113624114811507,1.1827321258966395,1.1236956758297028,1.0277932867373387,0.9425442992435924,0.9684021746931738,0.907547894611986,0.8375849215217074,0.8601491713007021,0.8124316760132748,0.8447811247208278,0.8985135713822086,1.1017883233937946,0.9246432190807221,0.9420408848825245,0.9145918337090746,0.9460406936120145,0.9725968752143211,1.1150089244136605,1.0737240242699744,1.0008903672120426,1.225272280014575,1.301462811862891,1.2270371069273054,1.358339619857091,1.6382729174459163,1.7516211176835057,1.4973415686143152,1.806208037603422,1.9101610448004163,1.8984088390665832,1.798283637534261,1.5304686785374877,2.0677909997624875,1.6573659793105633,1.2664060535911306,1.0112975766147088,0.921970409603515,0.8199404982832416,0.8541138593045424,1.0466586662499335,1.4572124638843549,1.737510525983365,1.569218325857179,1.1383042598796707,1.3467619910806117,0.8883798832034213,0.7817537793154222,0.8432789565841604,0.7966954972980671,0.9900033573168082,0.787018689189771,0.7617813051674568,0.7229812996097421,0.9223119156114963,0.6884052493167587,1.0745595919139677,1.224160390536759,1.4915439065020193,1.7853429039217705,3.2666266234525176],[0.5571924887528797,0.5376364951689027,0.9933438887758835,0.5167961483596851,0.6182185747507651,0.4911379384405334,0.3864376209906729,0.40459647260280895,0.4770027005810176,0.385154092935195,0.415812179149151,0.45795151924773014,0.3822234761691965,0.41508693434017774,0.4822275078551765,0.4126957907443519,0.4682077381752916,0.4481324603845015,0.5559255509438709,0.5377022122185655,0.6802561907078261,0.7749248544882469,0.8799239824851347,0.9923858519548849,0.9116203564757853,0.7265391692224907,0.5902523374910746,0.44320813516751273,0.42831294529887076,0.4070694488878156,0.4795580078418979,0.4220380065577963,0.4848310844102248,0.4290366373632443,0.41795249499198,0.4527481670649546,0.4378869194282712,0.4614036977831746,0.5153116643577138,0.6342299593347772,0.7128610333272951,0.6114422398922512,0.713683992259279,0.8793536449924263,1.2080281668704695,1.5584896609422512,1.8845958850564295,1.1053091793676657,1.136130804122102,1.674071277582655,1.3229221936490514,1.6918631726305582,1.3268671743606406,1.2061273179949725,1.5753831429305378,1.0061096888309475,0.8975363143415772,0.8751711403325046,0.8419354236507468,1.2291148042209552,0.819960358938644,0.740343746224336,0.6406976236296323,0.8336046982988998,0.7420819546984435,0.6502711817916783,0.819791279737588,0.5479140506593584,0.6844967199803906,0.8482385511897319,0.9633784716743828,1.2256740886419113,0.9615551799732598,0.9210300048877604,0.6687703778013052,0.9395968044447053,0.5440864681536987,0.5201099669053927,0.5299774476348106,0.601831791700845,0.5581258907500133,0.9061032670169564,0.706621182173361,0.9802578176036689,0.7941019825073188,0.5771351752615521,0.5310383973245707,0.5723589551851442,0.46495443076016485,0.49119508796504935,0.517082245342072,0.8135647635378482,0.6717288372651297,0.4955826183099205,0.48924606089447953,0.649450750123083,0.7068121049961178,0.5060309938993429,0.4776139295005816,0.5819030309210073,0.4688356609368356,0.5564406461792004,0.48232928725211777,0.5402249940294879,0.8412738410213645,0.7208987677657778,0.9518260451594206,1.15486763373842,1.0966887302966986,0.8446166518813432,0.723312907729557,0.5557677678376839,0.39856987427672935,0.41858675404476786,0.36178125688648155,0.3942584178359683,0.4455772682791385,0.48376389173157264,0.6915761316745843,0.481595296052344,0.5469123856591913,0.4832196664965524,0.4681752470120189,0.36325396997169546,0.38296585556472434,0.4063359703139842,0.5287389588256256,0.6210218434564116,0.7844227795351839,0.8932803773653992,1.1851712920092554,1.1838994088101396,1.144349378563122,0.996047997250284,0.9963514170741049,0.8187023905645098,1.011901725822005,0.8150087442101833,0.5709541434744968,0.49210309114559025,0.5358283165951933,0.7427687962553245,0.5312160604215945,0.45089068713863995,0.6372415163542493,0.4278495765230607,0.42403583017856666,0.44090016805406984,0.41920707683552133,0.40203089579306067,0.49248825368361815,0.4641696793407655,0.6565556395369498,1.3005399688792358,1.0878220268345362,0.4936937775046027,0.4286208092741993,0.42155510931473456,0.4469589495803956,0.5426749370936497,0.5670877592017757,0.4717456461022262,0.4976051843886965,0.5470576325310702,0.61815167435063,0.7762612143919799,0.9276420846292515,1.1414255513713036,1.249870120967781,1.0239471405100364,0.9409710469061952,0.7116609342057005,0.7046847937464376,0.6020613440972158,0.5484354380488415,0.5669397887543951,0.5309948994125193,0.5572793899273164,0.5595512465212026,0.5954057720796684,0.711454378514149,0.6913606054441365,0.8712497663783423,0.9898582172220377,0.937529764763761,0.8836375108762107,0.916871927982393,1.2214017890429465,1.8870988424257125,1.3397458869500198,1.68171321114968,1.0931152251066711,1.259515222454281,1.2854307699497898,1.3577268709202437,1.6930091469086885,1.5341150367445562,1.475490008498141,1.4625392741479177,1.4918103626050978,1.2676617490629154,1.02596142239774,1.047861722696646,1.0756314339930908,0.9592469625983132,0.7717687917424335,0.8133880785217852,0.8306509104598491,0.7209116752765949,0.7327253981138292,0.7967581281408318,0.8498426407822084,0.9289862669471766,1.0893952532791806,1.1892406486128135,1.0199603946764864,1.106859319107275,1.0166080235234416,0.9409825057388307,0.9401337819908452,1.161311862476096,1.4052122845578519,1.2988900150383156,1.4734219483458302,1.3159350171529374,1.2760365428885574,1.2708579294395133,1.466897534991003,1.4613000670246632,1.3831606299811068,1.4692950182334703,1.7367056851706337,1.710339968320375,1.7036790566498694,2.181445618398493,2.288315233025078,2.0421079855328896,2.5367234907586944,1.6321943932590859,1.5272207179794974,1.4118515364809132,1.1552807263211524,1.0982737601339205,1.0118576156099632,1.123850624767447,1.0334138997021567,0.9246359773319867,0.8601503290427499,0.894315684737862,0.7978124480057028,0.7376015924954524,0.802557340135395,0.7138238671247072,0.7189887427425163,0.8082912331998533,1.0117933625064268,0.8123363533426097,0.8136550011062331,0.7856628382584984,0.8091847424792868,0.8388440428457975,0.9697795993569478,0.9327779081829104,0.8762700969712828,1.0916253038971848,1.162983129580334,1.1049312958675912,1.2315509742727366,1.4897693880230516,1.6132014913327328,1.368356957343952,1.6528332307183349,1.74173485918729,1.7434213484670458,1.6414109045472698,1.397984897025504,1.9489289193238986,1.600686960589024,1.189140765524933,0.9561673997137963,0.843341239169054,0.7547133173273036,0.8327740863112824,0.9762833363209995,1.3606504479116162,1.683446470352601,1.490771342941027,1.088268275817359,1.2797415569250328,0.8559059353171736,0.7068404327542347,0.7647987536910688,0.7171904334275299,1.0131699103137874,0.7284361117551661,0.687601265845464,0.6674583480480412,0.9168659078616769,0.6341913018091565,1.0049441204295169,1.1001946648906782,1.437754422410312,1.5315677202219307,2.880501745512825],[0.5374459558619772,0.5033576284176331,0.9718736184672303,0.47767167832007834,0.6320469001057425,0.48522173424044174,0.37258757102426965,0.3856313449938536,0.44625351312359246,0.32781317426248546,0.352375723200406,0.4137486509021364,0.3324275779217908,0.3457311040176991,0.40648461380949513,0.3617345315784619,0.408959402751229,0.371282913118751,0.4690838319607332,0.4899850371504498,0.6015666446228956,0.6918003535072363,0.843510251350075,0.9592097411123371,0.9224234791234476,0.6817793180926778,0.5696054637951781,0.40429808177221177,0.37922097571600977,0.37537208647720877,0.4158600233790983,0.38541744659958055,0.4401757777124428,0.39357908682651016,0.40153534426245835,0.43064060047256847,0.45723681251571396,0.45898709339275195,0.5342577500849826,0.6536025477925747,0.7121275788714198,0.5762390090363635,0.6796641162114486,0.8402725579645389,1.1214555246420823,1.5198327029496523,1.8054531268983152,1.0488992907911265,1.1189084673198062,1.6943721282544744,1.3138426636128482,1.70540551143043,1.357536433750534,1.2331891241975803,1.6206880239929584,1.0286607396485723,0.9051373741625486,0.8805913006470156,0.8746029385055509,1.1910431570272468,0.7703566095116196,0.6865100136886458,0.575820808005635,0.7180078256441628,0.6338051683320125,0.5804764841082413,0.722175519367335,0.4500578062113333,0.5834835815327565,0.7562919094478395,0.867146417907145,1.125842372821592,0.8674938012337315,0.8040768971314366,0.5768338970112955,0.83934916560287,0.4600169535975251,0.45021012304317215,0.48431536087857,0.5680065121400597,0.5959666776969585,0.9905001595182078,0.7572628013856969,1.0390904784905233,0.8562976737332071,0.6427158744874198,0.5540124091583231,0.6014245090348966,0.44500264965265757,0.4778921510669606,0.4481561847785815,0.7281693839331306,0.5951358533629405,0.42382832899051837,0.42234178486705853,0.5779917122532906,0.6461997813742462,0.44360048371297395,0.419180812986232,0.5387392786339773,0.4392706394038475,0.5453772333414124,0.49670282071124644,0.5674213762465425,0.8994364031892867,0.7904809376978307,1.0212513180557659,1.2332657972691214,1.1680057584532384,0.8875261355847511,0.773475970575509,0.6016341031197427,0.3926040433696428,0.4213835755120311,0.32722119795232524,0.35242001095092096,0.3981112547683966,0.4259776684909251,0.6136010200334703,0.3958646688304501,0.46457142077051006,0.4096383155140422,0.4075648514321241,0.3080110812049492,0.32755342542274474,0.4065183996795807,0.5392331562160205,0.6760387392161734,0.8562429622722016,0.9632840150151571,1.265097601215081,1.2632240015044505,1.229931080351983,1.081580930344893,1.0866481536793449,0.8944721680851848,1.0980226607450612,0.8828130765640169,0.574672009230315,0.4962359051993103,0.4966613082760572,0.6841628863646916,0.4717210081485618,0.43765139539477993,0.6728974650790202,0.4220469911761224,0.42548827363904407,0.4395104505798253,0.42909181149926756,0.37879874065043717,0.4857813550495879,0.44302587960814993,0.6472615611814928,1.2861670019698601,1.0453553960756636,0.46327130091859525,0.3980320662016156,0.4132748305512152,0.45621716291750597,0.5776200506373618,0.6211435514901256,0.501879793373388,0.5388875970595818,0.5929321460112182,0.627968585068519,0.8098405629370804,1.0037344259607228,1.1949586377166617,1.3230642808759132,1.1121117194670416,1.0276671641597965,0.780492589309126,0.7853785715432496,0.6674502005955905,0.6117043755744802,0.6226005100293756,0.5628898201716199,0.6069405848630032,0.6220699213816793,0.6606424879118645,0.695669864656132,0.763468095066837,0.9528979352751201,1.0741920717262698,1.0200883313038116,0.9281823329253447,0.937307436732091,1.1548281394182378,1.8784113590066922,1.318193957668892,1.6958693717639512,1.1424770576278331,1.3138344111689173,1.3389617476001443,1.3998814345775308,1.709187037393581,1.5929018022606962,1.5238683451923258,1.507956726254058,1.555651488639625,1.298313042018611,1.058044692074362,1.091036284041502,1.099167316442705,0.9614753531450099,0.7714934884000518,0.8088234482811801,0.8088316816438401,0.6956262326304075,0.7097443050285214,0.7658304859385592,0.8128860052287972,0.907847630939251,1.0746011576933732,1.1584887299127684,0.9817476278819482,1.053516663083383,0.9475272279952602,0.8875416138525727,0.8798063717977981,1.0946128697310566,1.375242298591973,1.2392052822978261,1.4501675025648242,1.2770552253290377,1.245212290674526,1.2579582953427022,1.4427433084957577,1.4189701057013964,1.3653115797720385,1.4621134378014684,1.6940597021152317,1.6794326178462307,1.6959551400136141,2.142937669256879,2.2432953892670633,2.0291395095087674,2.562105603900892,1.667347163032948,1.5629786372057892,1.4286763352434249,1.165677726290466,1.1142845067732743,1.0247106878947372,1.1395482528073737,1.0478789787980416,0.922881157518461,0.869897014332302,0.9051339746893019,0.7987666866114673,0.7260438560355021,0.7856422329763448,0.6924777969123849,0.6925596533769693,0.7800264992599426,0.9875730497636958,0.7813913210416734,0.7735411223302979,0.7474563880784519,0.7811547066438822,0.8241951277701474,0.948270546608732,0.8878657347544932,0.8485108772185551,1.0739180987411756,1.1206462064451805,1.0653869397285638,1.217265884226899,1.443082249831538,1.5522382060735573,1.338093334299787,1.6240101433571417,1.6708058348414059,1.664712730427844,1.5875705282214347,1.3689727347335314,1.864959342222985,1.5818521826383085,1.1205156743129356,0.9108641560713716,0.811770055742747,0.7404907640843704,0.8420695526532683,0.9705913475904044,1.3833805737867557,1.7778734188542595,1.534777987972937,1.1555983255488027,1.342285990497514,0.9185531020260856,0.7170429783687999,0.786780664371939,0.7256421738569606,1.0011964389313153,0.7284830690616879,0.6735146799721282,0.637064053860567,0.8730085833051484,0.6180197428180427,1.0068052597109933,1.0308864559161073,1.4390901142422043,1.4887349434113613,2.8200821091903023],[0.7739670571221858,0.6325339278897352,1.0130518255086447,0.3499531297704035,0.5266221187436589,0.5300268787319296,0.45744316603244745,0.43796050524076785,0.504320249858505,0.39735296649694746,0.4175585143594675,0.47744744970669906,0.39362575644146175,0.39753190031635416,0.4349503849857468,0.39905705282590365,0.4326755690909639,0.39434899833262665,0.5172854814884282,0.4783031683763568,0.6035126282084333,0.6847856083844819,0.8714909933500586,0.963014008240762,0.9132368676319332,0.6568255252351041,0.5218800131884732,0.3768062143059599,0.39375130643506184,0.35366644624913846,0.41642101083481325,0.38175823324342445,0.45154036592666025,0.40739446261161905,0.3979292075903275,0.4152252114932978,0.44805433222349383,0.4358825237248242,0.47921624060846735,0.6077366838987422,0.666810973854304,0.5522223363945353,0.6428112559834153,0.8094143677828733,1.156173037472567,1.5536407315258818,1.820792989525988,1.0502031512580647,1.074484548500055,1.630760230562785,1.2679787452270628,1.6539507327027898,1.3370529998746687,1.1831019040682191,1.6156038886552755,1.029055114030295,0.892913923899699,0.854612794970691,0.8700693270691073,1.2159025317834302,0.7585455152002153,0.6911639521254812,0.5760645686805492,0.7049042419837973,0.6316265125291962,0.5778223269372146,0.7298110817154031,0.4641568009537735,0.6078382852872358,0.7837475070071072,0.9181531414840521,1.1522614512080493,0.8883555639765489,0.7946973689358358,0.5947407403607673,0.8011505830318932,0.46864142951693477,0.45676083000465034,0.5042636355125614,0.5652176404083544,0.5708343871976185,0.983994458085687,0.7324484054756246,1.0237229880823835,0.7434156524335781,0.5850450360326168,0.5191048255887907,0.5865530022806974,0.4355526663345064,0.4750156206803401,0.4448339138896064,0.7036616521818205,0.5793407820427089,0.4288355545747217,0.44032818384459926,0.5820454491037489,0.6762058869905462,0.46785919232796963,0.43745055002340755,0.5302798093047002,0.43180451769431527,0.5418443038946872,0.4488985963724647,0.556700234694581,0.8665399758075699,0.7030732902431853,0.9418301937531808,1.1192560127194453,1.018926703545903,0.7788951010224526,0.6335457868326423,0.4998081763149851,0.37017194909231743,0.3673833796712426,0.36916498534062747,0.35890439587173395,0.3834959552601754,0.4395171218708559,0.6133006175070984,0.43427988173123816,0.5153649369089001,0.45047205208367946,0.4554100307172819,0.3830751604370157,0.40223225964727977,0.35954848956436625,0.515135233725052,0.5541426941572628,0.6983427374016308,0.859193527365541,1.1622895678599605,1.1970327716876759,1.175497743795528,1.0249312719751023,0.9890149599200474,0.7509070937723783,0.9286756205321886,0.6844473295168894,0.4145999312124993,0.3914964767092256,0.49815134441193404,0.7360497614924449,0.483541840932432,0.396076696531259,0.6101134502961442,0.3799603955104386,0.382765691320468,0.39916769708877553,0.38286425327490087,0.3996220147721376,0.47254170056778017,0.46240300364459747,0.6531393385283059,1.2291718017702868,0.9652669254187645,0.45418354898111063,0.3992116245227274,0.41552619890764675,0.41337548481781816,0.5204206610878079,0.5316083178741993,0.4390813040517052,0.45537200330660804,0.5162460108978506,0.6005970559212738,0.8039646723412256,0.9088522808694117,1.119948810932456,1.2308115769206318,0.9477022171399997,0.8842595064644234,0.6354435855378585,0.6726288674831732,0.5937324914856185,0.5467338452925519,0.564509145355621,0.5086130345333804,0.5461550976577291,0.5721042178634599,0.6205208255332919,0.7364631253236135,0.6949566486867376,0.901944202095008,1.0395707307739885,0.9754201842562772,0.8781717928830478,0.8873612122109044,1.1531076496218289,1.7617086066643899,1.2542232485438782,1.6000908746486502,1.0800378349591497,1.284262582653882,1.3132233951814964,1.4027823028542399,1.747465082525551,1.546816809349328,1.48987865295765,1.4460467876260772,1.4298839058589528,1.23021034105363,0.9673669783042498,0.9502477818935402,0.982938543307768,0.8886228723329905,0.6836675861177948,0.6912938394236572,0.736563796692485,0.6708245770727913,0.7605014784772546,0.8313974622221048,0.8843165746444962,1.0011105428685039,1.2265141168671478,1.307321637864131,1.097057846761678,1.1193590335607961,0.9400406741097058,0.842091706735585,0.8675452080524064,1.0906680499178463,1.343448491679137,1.2406066221776366,1.3877614744074431,1.2841727244243692,1.2701336565115664,1.2701754572248474,1.4899295335030778,1.4677413173657088,1.3819271144139058,1.4928085414583616,1.76620845491971,1.7169396611945262,1.7191091477041625,2.215077397237771,2.3079218910737627,2.0416450816363567,2.547595748548604,1.6180445615243486,1.5340535438010294,1.4319065538888334,1.158591852530837,1.1120193873254363,1.00110299885656,1.1150934963451586,1.0342232056080471,0.9148264089457048,0.8266924065911163,0.8509434267398915,0.7450577746114767,0.6897155520981378,0.7459706117451478,0.6875427204030942,0.693795622020241,0.7719572617968016,1.021437343186553,0.8158230919790145,0.7953236585302368,0.7522368550563702,0.7628323773385922,0.7988294964945543,0.9432491332232198,0.8710723658850882,0.8043756550783874,1.0511698901449964,1.1012386379505965,1.0158706783518123,1.1611882616718234,1.4511288831020677,1.5267212208568866,1.2609049994287416,1.6075669779450519,1.684775557844633,1.6404308639800664,1.5217110851435105,1.2221695814868951,1.8477762475323387,1.4638978233398834,1.0663938336945065,0.9030470606904608,0.7419832395581322,0.8745754579280776,1.0640839262833126,0.7220886545234935,1.0459863310935726,1.4325791325540354,1.3366241802910723,0.9073818606969636,1.200768743454396,0.7212109350470729,0.622876392481356,0.6697508301664293,0.6252955892422076,0.7883225863700315,0.5924398686519244,0.7154646089360516,0.5903483017432848,0.7830899149595197,0.6224861808841403,1.1125503119688267,1.0307819535066314,1.479472381020664,1.6835886925508772,3.0909889578924523],[0.6816631367188825,0.5831368373309941,1.0001932886874627,0.34405981394366775,0.5201548815769993,0.519432557517586,0.47754679186493876,0.4613551761295277,0.5392959774074904,0.45096050412239486,0.47398418629365263,0.49323769282967705,0.44620313591174326,0.46269814966334466,0.5157571104165929,0.45841165762124697,0.5000099771448603,0.4717627453255924,0.5909957043691133,0.531734622800751,0.6822579167670644,0.7836822103911423,0.9017633955843755,1.0017400448960272,0.9062687605210668,0.7021338988678026,0.5483071980323649,0.4234664406129018,0.43217964488998245,0.38885634474805336,0.48854355639853364,0.4181472254091097,0.48737488075449303,0.4485823954301239,0.4150339105806211,0.44891592859741275,0.42512007700347915,0.44547765893305774,0.4623459491603245,0.5996316548976106,0.6979173868998724,0.6008143366055961,0.69482387338591,0.8656045289142198,1.2487047644467029,1.585711464453102,1.89694271645612,1.1199119083694984,1.1008286641513423,1.6017613991040016,1.2964690912155747,1.6585634829028764,1.3168355777852603,1.165648237241698,1.5699703715938769,1.012670622834123,0.8974274678232761,0.8527403263556818,0.8323383207700753,1.2707620081850914,0.8072419429171214,0.7403557395362241,0.6404847541242226,0.8204132054936599,0.7307884350687904,0.6514096450208248,0.8213890455692244,0.5619517079206127,0.7113773804338477,0.8781007625906095,1.007882629678673,1.2583500220186261,0.9658238785139991,0.9042660420330656,0.6787978280027068,0.8933933451163104,0.5740245374445175,0.5475556162920548,0.5636612883848834,0.6159474465856528,0.5171663919559738,0.8787685022822656,0.6699667544828399,0.9636307804583955,0.7006407725734752,0.5172120617977141,0.488822432028885,0.5614361276778902,0.47046326279121764,0.4837330710892341,0.5292891512317089,0.7926825419387257,0.6813695420431218,0.5106108270169062,0.5242385747434857,0.6818603999497279,0.7643763895607234,0.5148659451401643,0.474655593624921,0.5457202073866987,0.4424983767294779,0.5168137423247261,0.4293786464505053,0.48877795220369247,0.7647490689557677,0.5946619994532008,0.8187853283838185,0.9926150900165621,0.8974027384552135,0.7080076657468589,0.5424614173981442,0.4434927115016719,0.38843760948333195,0.3815000705067161,0.410797623115408,0.42140829957674764,0.4396304094756673,0.5008371883767251,0.6840312788007348,0.5195758639262047,0.6020289831927405,0.5309737272919389,0.5303154737160154,0.4358584525864455,0.4402714819555002,0.3990470284878445,0.532608666039318,0.5005708812501108,0.6152927429282714,0.7668353584029417,1.0424039093547988,1.0623093979957252,1.0475222918676186,0.9045898874238638,0.8802945852475801,0.6869384599965463,0.8522261923668817,0.652557853252392,0.4477293365273096,0.4158619688768159,0.528561703846418,0.7613762121306032,0.544787270404245,0.42731342371757397,0.5772795538957046,0.39891270302623977,0.3956020996659831,0.40169165948582763,0.37266789338618883,0.4320027025341264,0.4783178666736154,0.47929312982339967,0.6390581626112551,1.22712579090865,1.0022140094230005,0.4667421500602765,0.41734962994204927,0.42238327426416783,0.3859730321880565,0.45738132310951646,0.4621195481507449,0.41226241720057055,0.43293714795097665,0.4944476453706166,0.64689955102914,0.7911556046507285,0.8468396938134112,1.0784571903403162,1.164068498442987,0.8751738083304508,0.8129937960738413,0.5942332731373785,0.6010487390110438,0.5278209444092596,0.47126484629561716,0.48055228901920155,0.4575817758979184,0.46759980622771624,0.5102543502925262,0.5327377281613151,0.7617441919965513,0.6046927607375406,0.7956680911825034,0.9319659601749598,0.8786070228163473,0.8433044668473093,0.8750768537892938,1.2576691964888282,1.7900073051895131,1.3021703233855784,1.6018193898558608,1.0371961893979835,1.2311427032919005,1.248093386360207,1.32820278406606,1.672873359034181,1.4373806599030277,1.38744694943166,1.3251700253362084,1.3150395716176737,1.132182503557747,0.8752671239581454,0.84953851499721,0.8830711665476422,0.8126652194737581,0.6269504370045305,0.6468461903296674,0.6973395103155429,0.6430524972374073,0.7548590955709029,0.8343931084962265,0.8848960185434376,0.9899247469687049,1.2089174741600193,1.3075584031400262,1.1087182887661864,1.1228028078903003,0.9524171793646641,0.8286940284712622,0.8611731941499798,1.0796655770522967,1.342927426076718,1.2305514941240312,1.340597758230133,1.2445061704964775,1.2274940474116416,1.2132215448337953,1.4570617147299996,1.4290544653387842,1.3260590279817375,1.432899912226796,1.7356837135326635,1.6594993909169873,1.6424693055339223,2.2122629745730906,2.2691480297628353,1.941868947402096,2.45535859619842,1.4830015847924094,1.450229460845089,1.3649420955674294,1.089136500137047,1.0594930088954642,0.9460586189853818,1.0786720789469917,0.9795237203865873,0.8720831655701722,0.7806533862971217,0.8040460119099652,0.6866296688030545,0.6522976620309575,0.725912803843622,0.6602769251355125,0.665489222339547,0.7554553022247753,1.0088186727539243,0.8057355253576102,0.7809301527424057,0.7338651419313583,0.7294984983120713,0.7500938448139848,0.8948333766393224,0.8363614233113885,0.7629049262903496,0.9931039706372667,1.0557592213498912,0.9737542562548142,1.0836732522705226,1.3982746205492824,1.4824403635034984,1.183214458868522,1.5117005907830978,1.6247138310748568,1.5804283860885238,1.4291047199283977,1.1246310680462814,1.8194169810006096,1.4035766335938233,1.0833404468060863,0.9275100095888849,0.7406857287563229,0.8830436583067488,1.0763274291974134,0.6985342644542446,0.9087304646059565,1.198342654502732,1.1842227198239972,0.7801783674038735,1.0714856939581219,0.6340043261295505,0.599787210443575,0.5954878843216472,0.5650882416338332,0.7796203043171521,0.549613286586542,0.7090683906222368,0.5618381320802878,0.7936612313124354,0.6035348593777167,1.0864096939375707,0.9905363948114502,1.489415432570849,1.6181962109326182,3.0249546839331254],[0.6713809200697287,0.6235369747060432,1.0240201585806084,0.36388702028536163,0.5302911488238795,0.5616156664796771,0.5462649163063549,0.524291900045012,0.6076013752850833,0.5181073649341512,0.5399082280040634,0.5432189932170108,0.4907738732385454,0.5093909758869578,0.5490078977160492,0.4880104181479275,0.5106067971861409,0.47304211409416597,0.5731823045892201,0.5180101859724459,0.6504132969066002,0.7444090776101924,0.8758273424662625,0.9742116489768617,0.9029274980297562,0.6806318838794994,0.5372177910356049,0.41859485099397525,0.4344601056595677,0.400284012441411,0.4979764755770109,0.4414880920247874,0.5074124754186804,0.4585434730874574,0.4243364421897878,0.45069027844910414,0.4254379244404146,0.44089981712985843,0.46164218429739184,0.5946695447988101,0.6778707315652948,0.5778589621995768,0.6685985400224804,0.8372626132490867,1.1831604912771423,1.5459146977020395,1.8428729944713769,1.0749510236743138,1.0894118092925256,1.641828472956162,1.29360749788929,1.6703788812923221,1.307676607933811,1.1703494903913476,1.5606455383862974,0.9974643031228754,0.8835482289448786,0.839980879645297,0.8227104639411162,1.2441866648775382,0.7810127543931411,0.7187227446467848,0.6250789642063016,0.785845117348152,0.6914443969568591,0.6324778516114801,0.7959503683562407,0.5467888034514389,0.6861472984186117,0.8713997592996293,1.0011003609504323,1.2366174848141447,0.9502194260524655,0.8721141425029628,0.6698532314653707,0.8735781026204296,0.55525011715693,0.5388534831423143,0.5543145700716682,0.6027914446824161,0.5126019567461183,0.8732450810487178,0.6646432693386224,0.9506261176490182,0.7223210161052018,0.5167514077963186,0.4837842504998264,0.5527855505310826,0.46428512338969224,0.487894992994287,0.526137825001607,0.7892464105245409,0.6786504854942339,0.522700239183673,0.5470772309226559,0.7031005351890992,0.8050703634743082,0.5524711275114006,0.5196907012429256,0.5799367527072269,0.4731366564356048,0.5354019811344989,0.44313254230299326,0.47262578744527683,0.7508617965974003,0.5717952505495543,0.7858380090356467,0.9751636819482676,0.8682167522062803,0.699155728527887,0.5105033767731758,0.45279430360549194,0.42739801588079085,0.4057256689323539,0.4381589663627868,0.4365482273360239,0.4437288508064785,0.48940539703447594,0.6585146893571775,0.5138885195235546,0.6005767403019322,0.5501648762393516,0.5454597903183472,0.47614820553147524,0.5013141575701179,0.43968539675274815,0.562597504723652,0.48908124121003943,0.6148541766715048,0.7682917573708279,1.0373054195846496,1.0329595873415733,1.0334387548322996,0.8886231284044115,0.8944090379657401,0.7226033715900659,0.9038989331051079,0.7055915924131445,0.4879181423765101,0.43025737249780904,0.5043651648608433,0.7318198556095714,0.5142525760744713,0.41343439362998724,0.5785577115269648,0.39805362762607543,0.39822167173579376,0.4148061607192003,0.3926335659843228,0.4760378589732427,0.4993778168735708,0.528879191729924,0.6647872073827593,1.2171013580656378,1.023539113891613,0.4983616626531797,0.45649677018459583,0.45489810544094944,0.3938234298776469,0.4503926161501746,0.4602160133052981,0.4213596293214615,0.43933687784124054,0.49603612898298555,0.6274425311651998,0.7809438747994148,0.8833329533718302,1.1189542515032966,1.2167891858045796,0.9644675147789601,0.8720546270400158,0.6382957446428297,0.6274425594967245,0.537187509986195,0.4733785673945892,0.48452558621787306,0.45645563971736774,0.47072150034777915,0.5011904741297082,0.5238996435685771,0.7491154059252527,0.6017584091872249,0.7941545147760294,0.9245717501411037,0.8809071239413395,0.8459002835633116,0.8792360951617436,1.2095134395533613,1.8243177145876892,1.3108505505338297,1.6464670160686292,1.053737449712546,1.2366177800527078,1.2467068159798866,1.2854084406720026,1.5885912571730314,1.4218209832526054,1.3503797312414854,1.274368058638725,1.3009228078432031,1.0754062023526287,0.8303444856550314,0.8112650337371363,0.8280651496912949,0.7475128278339964,0.5861110136107556,0.6146873703539106,0.6439965611060797,0.5982323865491778,0.7501629209842966,0.8160705935133389,0.8450992460245257,0.9688332514200153,1.185203298296404,1.2522422318098034,1.0657451483613436,1.0664305895659285,0.8936329132303562,0.7625929874617743,0.7873556539150851,0.9599739407129189,1.3014906478442274,1.1079693023226225,1.273658301424378,1.1372892168974784,1.1241379947025594,1.1210191730833752,1.3489226492859807,1.29805962550528,1.222352696782076,1.332275927103911,1.5983879168084627,1.5319094923391035,1.53215024492894,2.0996861767502324,2.131573831170377,1.813347141216493,2.400592739907596,1.397573244684357,1.3985374619096376,1.294746659148657,1.0196957278298242,1.018635430694694,0.9038732222844738,1.0582452579237211,0.938303604499519,0.8375511899718753,0.7540166306462609,0.7679948877431667,0.6320687689063553,0.6087750615008011,0.7108191166584525,0.6194086856671437,0.6081471796339504,0.7184424211187872,0.9666535525513763,0.7706110370406614,0.7228123172774285,0.6783242770118053,0.6566405628772892,0.6794301821097356,0.7998903641806495,0.740240389966959,0.6894827324825806,0.9028356676265381,0.9488057010560386,0.8862271732049394,0.9923965378548364,1.2661843399656159,1.351857450490167,1.087524848074002,1.375146771391707,1.4585541561957973,1.4363318499241422,1.2963081205816112,1.038378099299782,1.7238158809882593,1.457153404539617,1.0360810176523436,0.9242662756241503,0.7253341999592431,0.9019332722061364,1.1378939023774843,0.6961618963172118,0.8654990255176527,1.1992030142960954,1.1504993955588754,0.7654435254710769,1.0375481198740772,0.6274629296066484,0.5837806698565468,0.5530199357367376,0.5265093029736613,0.8076012006975837,0.529358288696237,0.7132980543620677,0.5603723792959786,0.81611688476591,0.651228020914587,1.1017511767088244,0.9114413298351888,1.572742746590204,1.6156528867012818,2.8816694106568357],[1.0294412449705888,0.9167817155206349,1.166085130825973,0.5811540534521157,0.7775812774310175,0.8522149997783021,0.8323901947481124,0.7637274210667673,0.8462537169451261,0.7411361858783931,0.7484277063668376,0.7653548382669324,0.6987249401160357,0.6949043506182236,0.6871892641390102,0.6611925923016013,0.658349127006826,0.6007093689366991,0.6919214329331276,0.5839673124206212,0.6635067936044836,0.7315803858194599,0.9351552928461759,0.9836058872070107,0.9491166068946808,0.7152466115712615,0.5846609220559323,0.536109867810275,0.5781545940854121,0.5239417749477312,0.6038892202331041,0.5651265610959514,0.6344465291693006,0.5733220455817832,0.5455000574577961,0.5471720294643919,0.5468466953056583,0.5182376289025902,0.5337204403249546,0.6226510698240717,0.6785292901703045,0.6131664055839605,0.6680084292924714,0.822968972025667,1.1561442664275396,1.5650706834135113,1.7756431483539983,1.0378048545472047,1.0697738494382778,1.6280769411817215,1.2384101551547733,1.6140108454865298,1.333386016287289,1.170147935089144,1.6309814634255388,1.059734980866235,0.9009222102871535,0.8850688753257859,0.9105763799013071,1.1991960290875379,0.7760201932049322,0.7241565977213729,0.6331430351363081,0.7404145638982091,0.6728901310127242,0.6460348844338186,0.7753648894770613,0.6102229805557476,0.7521111608353656,0.9135650628809827,1.0334871176788234,1.232524788880036,1.0002710504185515,0.8701248294885061,0.7377832893959295,0.8393099996729914,0.5803483308986455,0.5776508821803065,0.605813192082812,0.618055409424723,0.602509878238587,0.9770138581534019,0.7302146749979335,1.0137250189548987,0.7176082340290515,0.5982191721725109,0.5576603398404719,0.6578362224063654,0.5394471034644258,0.5767647101545651,0.5856888131779775,0.7878771289667137,0.7107710297119241,0.6367670679449533,0.6664209185964968,0.7763213674599221,0.8920520389346887,0.6822562176189944,0.6797758805206162,0.7302314016512271,0.6289322207198638,0.6536118835346997,0.5401288846263708,0.6120016078786155,0.8073674119017558,0.635643143326681,0.79921313790567,0.949528066619091,0.8061703250924966,0.6657570469419831,0.5321489394732314,0.5218285020782787,0.6324810640237123,0.5487053598822935,0.6283789955169903,0.6039908416553977,0.5882484135395712,0.6188933253882196,0.7065747175478222,0.6453543056465663,0.7219828960726861,0.6741753777258931,0.6741280297825674,0.689730404709417,0.7498808730718269,0.6034737839528656,0.7811200128395666,0.5691796446486729,0.5799203119127833,0.7469997709969645,1.0137426671452752,1.057639597731349,1.0735185593043126,0.9158294944586581,0.8901571931437148,0.6571513023969104,0.8082799478628051,0.5856522456884473,0.4618509076364746,0.4967475201362594,0.6378476698692663,0.8263019516696543,0.6255378741443118,0.546651330794807,0.6349732395035228,0.5086730204069854,0.5210201992404031,0.5460672433153664,0.5311660564545411,0.6709404927764303,0.6566204535728645,0.7252835979973958,0.8069025746442529,1.2882922448953538,1.0321500245557722,0.6659513777962385,0.627177467494342,0.614094792922419,0.5317430657155103,0.5502649518006217,0.5289099771364264,0.4946759799322887,0.515272745067384,0.5617852487246292,0.6303525560552553,0.8311385936761571,0.8981843376712347,1.1410613299347003,1.239090438197541,0.9323261519301765,0.8392545524667324,0.5946154390260271,0.6371860381734427,0.5695270026961371,0.53968894791199,0.553263690307817,0.5584102600341266,0.5502160803138423,0.576287175358179,0.5880975803724441,0.7680068873509355,0.6371615544525356,0.833564115679763,0.9801033727870153,0.929288476267211,0.8570046718206636,0.8669513166714989,1.1161299683348258,1.7145040632824011,1.2293351012303493,1.5919097154015736,1.0724841330803307,1.264083575759141,1.2696058683699005,1.3272396063038292,1.6543247017382985,1.4475507946996007,1.3652515027039598,1.2639204386164393,1.2201182569274671,1.0345759833781074,0.7766548990530023,0.7259042128427265,0.75691857110478,0.709172074407163,0.6025838982705833,0.6665083361640088,0.6724021513823556,0.6766799654867857,0.9480065248935153,1.0224623427333523,1.0201864929852011,1.163232275613315,1.4411508243718543,1.452805892832915,1.2652040467111414,1.1751016924060507,0.9633143871875083,0.7954406588279139,0.8216526819249952,0.9364997491655754,1.2853925629477514,1.0771436614050278,1.2251686081054427,1.1128365819300627,1.1095917159675501,1.10866463959864,1.34926543888652,1.2957231370614002,1.2115519235465144,1.3375493130759075,1.6128575293609437,1.5346903077924963,1.5398769862578938,2.101581326680865,2.143204496135858,1.826520973002126,2.4324191116022704,1.3974194184273927,1.3842048564577878,1.2918933741445608,1.0063512415514249,1.0152376463732793,0.8881707568965782,1.0285598785007397,0.9250011898512792,0.8346370957888181,0.738784346244502,0.7494349943076775,0.6317716535262234,0.6582263896503021,0.7737750551761854,0.7312997930677727,0.6930806544727152,0.8105447850326201,1.0979619170911465,0.8888424336995145,0.8049707223668501,0.7426727035709825,0.6695014463032767,0.6757196169129422,0.7905103945967309,0.7345626354612205,0.685985024682906,0.8728354496074455,0.9148893822098004,0.8492325339746088,0.9459006972268295,1.2346853197901992,1.2994679812654255,1.0223516682035292,1.340241677864055,1.4150467913796407,1.3649495960076978,1.211605251734834,0.9501846145513542,1.6517860959295798,1.5045736418144575,1.0787388402020397,1.1422305458644182,0.8809691379587891,1.2248405813557373,1.596651616871947,0.9177054130234964,0.7486370605551819,0.9939370336465426,1.029091013511045,0.6280563615547737,0.9472342863914585,0.5579734758216137,0.7212628503645022,0.542985703240063,0.5498992272395705,0.7257946260863215,0.5857434389834023,0.9300662152108421,0.720307399994336,0.848138284408094,0.8566262636165338,1.3292119482495106,1.0289369318228987,1.627809166417315,1.7383875426682571,2.919775358699587],[0.9687158923446795,0.8454723242227208,1.1260861469821004,0.4793116580550062,0.7329871087283176,0.7482603250589276,0.729476160900388,0.680189241227015,0.7399468403972539,0.6317976220450301,0.6304326641461473,0.6637622397155952,0.6061623419389525,0.5783565829205153,0.5906757329872772,0.5705316449589386,0.5884388078068701,0.5349717091229902,0.6370240330874118,0.5613010096844535,0.6823631181707179,0.7714712855381073,0.9497391992682312,1.0249451606561162,0.9439989816469072,0.7061833793306151,0.5650244296271254,0.4794661795654216,0.5143580800498723,0.46752357684608353,0.5340496830071656,0.49949995772110783,0.5631927778314966,0.5141499430544667,0.49015393745061403,0.5005275659806189,0.5044671033784698,0.4982906314322159,0.49926801684057237,0.6287368994934025,0.6991190021290794,0.6176027197588995,0.6917816547467974,0.8604085764969852,1.2450213592737773,1.6130619304426144,1.8775051701806476,1.106466579974532,1.0768326141354718,1.580261327982044,1.2890719560123625,1.6580730440882085,1.3632997051926703,1.1809213060953652,1.6208403676767302,1.071297813417143,0.9270091633055405,0.8770903655516343,0.8909293287091151,1.2816195038256033,0.8128634213963047,0.755402832589387,0.6521600133864554,0.7870798400045669,0.7041422227963905,0.6534055762351584,0.796871097724185,0.5738016295189795,0.7063971836490367,0.8771577815709828,1.0159122823851718,1.2336659916410422,0.9453575237648929,0.8553943579327192,0.6834995242295125,0.836813373473331,0.5788197654875469,0.5697405280056682,0.6162220050215315,0.648353364773349,0.5700696540870391,0.9338642848172419,0.7104119150081448,1.0089923055614558,0.6904512989060129,0.5550304927905361,0.5308600996610173,0.6211780559357737,0.5225951971448518,0.5377953590653421,0.5494522034367545,0.771946952075006,0.6805937129274624,0.5543577300840332,0.5830891313342689,0.704013125418963,0.8226343880292314,0.6090199582870268,0.5938970269822695,0.6534920448749163,0.5603787975109465,0.6222550201099707,0.5118402003470586,0.5868199411560749,0.7828395913953977,0.6105273939462942,0.7769241428017027,0.9067921218861947,0.7760537764610844,0.6774805505032474,0.5307449859645597,0.5069595050536452,0.5765843160589569,0.5179472376299004,0.5600435130358542,0.5432917056579676,0.5093724501462478,0.5529001290755439,0.6739337935390124,0.5822789897383138,0.661710385967029,0.6033930705756847,0.6088646838640811,0.5969678036142638,0.6551711361786574,0.5824459638780523,0.7588347306889927,0.5664801227571906,0.5686218600093755,0.7194858546669088,0.9445208442291589,0.9939448283755716,1.0062270278267356,0.8758271088795757,0.8295704662754464,0.6297243242864307,0.7430774073350207,0.5445951009841361,0.39659255132854077,0.45097906868386856,0.5866111055006328,0.8227740591336887,0.598721245397046,0.5019375694687624,0.6004596068606692,0.47207358805896926,0.48149172407705937,0.49700924404570956,0.49437438171656933,0.6072224353967794,0.6175837297185943,0.637714372892996,0.7520000621572718,1.23250582750841,1.0048973404840333,0.5943835698963064,0.5567235637119506,0.5696775716376882,0.47729745370754295,0.5109377145810406,0.49993720985816237,0.46354229761256993,0.4798379588693176,0.5395402548335146,0.6978075292528267,0.8484729053687821,0.8347710482143363,1.0789042520663137,1.1428278718826559,0.7988827832719924,0.758862077280633,0.5602712293414632,0.5893905133429509,0.5491978776424259,0.5061045938704456,0.5154862064633123,0.5078964403571493,0.507936372223201,0.5583073015220649,0.5800139844841474,0.8156038264331624,0.611297620199185,0.7933421872539335,0.9394164624610211,0.8881519334757131,0.8451985991828701,0.8698436902702478,1.2421776360048096,1.7007406047130647,1.2625190315375947,1.5627739297028487,1.0296318220845198,1.2303017242299108,1.2425620450663089,1.3165876110909207,1.6385273158385645,1.3666458168456803,1.3099420998145395,1.1885106434238095,1.148424254480304,1.011550122482375,0.7805287750056649,0.7206870487930487,0.7585297528112994,0.743916192506087,0.6443154023083463,0.7192247675888808,0.7310569252035599,0.7236347350201682,0.9614524705795363,1.0530324852004558,1.0581514531188096,1.1671962989529363,1.4383235623320854,1.4944126921278773,1.3244876133654895,1.2449378048395765,1.075660433139847,0.8724772923561361,0.9042139494887359,1.0229530236744124,1.3100015405376284,1.1690981998521663,1.2186392591438555,1.1527071502277906,1.1594343251482333,1.147243454512448,1.4077454279958466,1.348909752081891,1.2411813338676265,1.3657449884296227,1.6641757026518889,1.5492663078522444,1.5358511894536941,2.170111441999259,2.1620447988461646,1.7872440969584422,2.3394463516174864,1.319253302204781,1.362300392160938,1.305923635777223,1.0358517075706237,1.042256013423876,0.9302343479101979,1.071061981454533,0.9647346766220752,0.8848269629104678,0.7868351106186365,0.8021931520167077,0.6748222180782094,0.6915023375180877,0.7872003897395711,0.7565278212658959,0.7402476276047231,0.8336061501268477,1.1141664026797007,0.9285719756752188,0.8615070443387267,0.8062000361309545,0.7311178930894389,0.729746509016077,0.8470032682412872,0.8008153295799616,0.7435522205598614,0.9077118424748155,0.9593505183686514,0.8914346637150261,0.955652688933282,1.2638233045645786,1.321129689576085,1.018007505645862,1.3148084350316087,1.4416983047347196,1.3926254196899652,1.2042748685390472,0.9682403275135527,1.7293898008886774,1.51280232871304,1.193334076628836,1.2341424579310645,0.9502179489415392,1.2335095578794444,1.5985370209961693,0.9964614096080756,0.7948530825785174,0.823726024696501,0.9464462685902439,0.6300644680422294,0.8891145182607056,0.5687351694954801,0.7540282884678037,0.5642823980152285,0.5741105559219754,0.7044538088927589,0.5714720597342942,0.9150093428677604,0.6980275879370419,0.8397830075272884,0.7985557041127194,1.300895622114873,1.002068921010383,1.596305423445703,1.7644289602119148,3.0268712418011114],[0.739409568010608,0.6926895733120455,1.0600915345482311,0.38970675934034255,0.6609437982823272,0.661028433333938,0.6785271840214258,0.6579692420136969,0.7208199789381933,0.6573676784780579,0.6653000641587916,0.6713499324833853,0.6502722255611092,0.6381341753108695,0.6785877719452105,0.6341848667583673,0.6639422667406317,0.6460801257476445,0.7450310406931306,0.6609226244644114,0.790257144293641,0.8929066532152263,0.9844590771334562,1.0654610232049522,0.9466650573138746,0.7880983158067427,0.6442981846765308,0.5877406810889823,0.6025190795468686,0.5561170664358849,0.6401072042899917,0.5794509758427864,0.6425525655027792,0.6059017038926054,0.5687494743403048,0.5949167404984783,0.5558659243438422,0.594896150636945,0.560303287815355,0.6746746961204947,0.7856361819481739,0.7029886113773163,0.7811691341482845,0.9281700067680649,1.3148821232452894,1.606442860935367,1.9270553050844859,1.1718955616085416,1.1416747851806317,1.5819105774447262,1.3291288879665504,1.666440685708891,1.3296219833115392,1.1803707546224547,1.5520117119565686,1.0440229298862922,0.932906221311521,0.9036741596741966,0.8668008641558517,1.3408731603038706,0.8882379342935252,0.8383167966726895,0.7660140536049378,0.9344423092263285,0.8332873934792591,0.7609647501595792,0.9246729981520152,0.7119643564773728,0.8368197174293076,0.9909957226382956,1.1242235435720267,1.354062582668628,1.0392789265684463,0.9962096098058537,0.8020929154105177,0.9730122205558502,0.7160999275239631,0.6984183233074065,0.7195124056267359,0.7443864670924549,0.595476800883832,0.8485176047370628,0.6827821602394093,0.9534188202033328,0.7073678535127226,0.5631436207306496,0.5837914103787732,0.6590531942519388,0.6048319196406331,0.6154889281606147,0.676868780194799,0.8950642190164007,0.8107919807623754,0.6579865129275272,0.6811296842816847,0.8104462562170373,0.9190466236857588,0.6849410682751808,0.6427256334610024,0.6592386940383657,0.5890402366212704,0.6175501422176565,0.539354455498968,0.566954738214669,0.7256494625027262,0.5659622385831721,0.6857508352923759,0.8236271742714893,0.7004680390925668,0.6550051034945946,0.4776536742185602,0.5184797087628685,0.5778641990390045,0.55170383762494,0.609025928008367,0.6142432997188438,0.60218087430669,0.6571726413252151,0.8038685016736364,0.6967503865830657,0.7707145945964706,0.6983276041248756,0.689370651831302,0.6310078819185535,0.6528894852517446,0.6320482907219116,0.7190784284978494,0.5545744972170324,0.529067804787736,0.6612497433823006,0.8628580348350429,0.8869366632880591,0.8954412479316824,0.7773619489071816,0.7638800490044312,0.6312423884005481,0.7512548436165043,0.5912013087277015,0.4913321226309618,0.5302520274384199,0.6493961316076923,0.8707439678265596,0.6973699393529116,0.5887314976321771,0.6463079295861973,0.5596494709899406,0.5474982920650242,0.5457187180415509,0.5273467168285625,0.6298996169755248,0.612881665952646,0.6336673165523428,0.73888115210247,1.20621358447003,1.0393953483797416,0.6014609373160555,0.5780050734426154,0.579343927534445,0.49252441640135813,0.49966882638624593,0.49896665160426656,0.5274483024553637,0.5400921537747708,0.5946389872822215,0.8316897796351059,0.8358261749443283,0.8205988151539741,1.053822275068403,1.108082994043151,0.8163875219553536,0.7613232031656063,0.5993992106856473,0.5960670342106215,0.5601490305975759,0.526689632456118,0.5288760378310478,0.5405513543706479,0.5346654618189607,0.5655822748974572,0.5731096002086916,0.8851055112640346,0.5843519065256574,0.7424954046351774,0.865235532826391,0.8248237219724244,0.8642300517077071,0.9138196552397716,1.3686530220492168,1.7835273885072416,1.3671855207954646,1.6087610319754342,1.030857694392673,1.186494492091687,1.190395917981285,1.2256356732526996,1.5065801639121017,1.2616257680243683,1.213253199383303,1.0935669896599887,1.092269509934205,0.9389072271518506,0.7182865906906186,0.6689830924664797,0.7001448630051328,0.672138282759208,0.5744299078868457,0.6502775493342485,0.6605413899166308,0.6377229386918131,0.8570586512638494,0.9397242176218262,0.9478470808575509,1.0543795053195342,1.2967773846607824,1.36342318226257,1.1944020386034402,1.1454513103360382,0.9930129949390313,0.8092682200794141,0.8360888925847763,0.9651330410137132,1.2746724428432201,1.1199582106666297,1.1792953027761337,1.080521385670781,1.0772905131880708,1.0697521799139689,1.323756612938715,1.2560858622093978,1.156015941001808,1.271840900643315,1.5649702597913917,1.4483038881264612,1.425952070753271,2.0913900314929315,2.056437612478685,1.658309670889988,2.2152979709492286,1.204287974225824,1.2817255420258207,1.2225688048779966,0.9627301201021824,0.998443453498646,0.8875572829138865,1.0335631723394918,0.9118274783538093,0.8354494400540184,0.7359590017726431,0.7476409736820518,0.6001823898637025,0.6128676696432815,0.7277514456793539,0.664588984580995,0.6424924054568576,0.7488629826882043,1.0088284455914611,0.8271776548267381,0.7638949114366621,0.7194758416871191,0.6541234231498301,0.6548470494104803,0.7661788247388943,0.7263695631311278,0.6757158620198288,0.8351278997560528,0.892216947331975,0.838097839393599,0.8882878023067254,1.187237566004424,1.274754559419499,0.9744539323754718,1.2198052405008077,1.363727141492526,1.3510267764448507,1.1680998449019726,0.945858983483723,1.7229309033154412,1.47035797546848,1.126749747287711,1.0951786186435033,0.848045281815267,1.0800715301133177,1.380788261919754,0.8557076124559981,0.7665646032434459,0.8601444778711931,0.9204798398668742,0.6061301273609447,0.8316915858873654,0.5381515727180805,0.7052796850957137,0.5058198048510729,0.5068746785673891,0.7318106228642057,0.5252766654730522,0.8295794174151904,0.5999320376331699,0.8197211887689674,0.7364069051457545,1.16588528378979,0.9011300808843752,1.6382830970076379,1.7128095431686898,2.980339480951127],[0.93225730396048,0.9046819150729566,1.2162563576270145,0.5752797883855271,0.8657012129626939,0.8472650396446554,0.8577116678177387,0.8108619362462071,0.8711591834228865,0.7749353824048294,0.7657326746990165,0.7685997734401321,0.721235658758867,0.696981748436886,0.6933961849813058,0.6652096844488672,0.6736997502900749,0.6049525076341614,0.6833002844274226,0.5800051871176838,0.6863947181608343,0.7646238978562411,0.9457737495540038,1.0163120353641446,0.9413465058768048,0.7069516889628975,0.5766640854043621,0.5187685049031779,0.5667850310660418,0.5341692663436594,0.6062581899659997,0.5756931881899645,0.6408233088663433,0.5745971909707297,0.5348709212409583,0.5408371338287995,0.527784067050648,0.5107605695603082,0.4918467584500331,0.6071729799643053,0.683484570607999,0.6119404014953376,0.6733722167750325,0.8330850480910444,1.199684843457959,1.5811008926928194,1.8264670959327152,1.062879283542069,1.0606274480137174,1.616429961701899,1.2783058463970318,1.6565783116807333,1.3277870926479598,1.1677033275690718,1.5867080702479595,1.0340259547841515,0.9085113048814452,0.8581583033431553,0.8570448180019622,1.2579286272749022,0.80475168916777,0.7515107808123305,0.6622021562692988,0.791028207416826,0.6980648439022382,0.6612314635904172,0.8022605638791086,0.613026669380834,0.7567974505645781,0.9181043539312065,1.0516228328359858,1.2595054002296695,0.9649530830187661,0.8841271816912709,0.7249732081818614,0.8602643550857112,0.6098783823632761,0.6078145510316231,0.6394731672058643,0.651347164312264,0.5565201472031844,0.894414679735212,0.6764364244190588,0.965366708725046,0.6759629551282972,0.5315817968757465,0.5263367417458865,0.6157799186399568,0.5423438709236498,0.5657664207467331,0.6017413321791875,0.8125073257998021,0.738145140812033,0.6291898136290806,0.6730067095068126,0.7857265467317955,0.9319182647898662,0.7070552200519725,0.6931804831326254,0.719904119138059,0.6254033811252966,0.665913779791407,0.5472969572156111,0.5949093866307127,0.7230286994561357,0.5764959651456149,0.6845886463720923,0.8163178078570598,0.682469840720531,0.6781928131829342,0.5381020649950206,0.5667865848351499,0.6923816415476146,0.6156056686070923,0.6676107570217898,0.6471666635663882,0.5819638167659231,0.6046831432430826,0.695385647256062,0.6528221969815711,0.7429952094571141,0.7053050911344173,0.7133216701420926,0.7235411842950396,0.7942368674555568,0.7422353818201881,0.8760350482741088,0.6215646841944655,0.5396142952844883,0.6542104953838649,0.8567001096545339,0.8781673333489642,0.9025018886110381,0.7763074696795407,0.7698441605550003,0.6152107005828077,0.74778693143907,0.5602619421120216,0.4349268943958929,0.4701080422435013,0.5891733417458661,0.8011790651075609,0.6016972008524377,0.5208604889017766,0.5952054393025605,0.5019507028976926,0.5186861387401622,0.5562595644802035,0.5611438152995732,0.7166363783914215,0.6938377040958855,0.7375275434598896,0.8160620658944835,1.2217098460704443,1.0484762583347258,0.6799120161394354,0.6482771225970463,0.644453033162692,0.5349133628727027,0.5254237626698138,0.4891717705227922,0.478275654263528,0.4779660149127548,0.5241660677654565,0.682051365037269,0.7945180730974153,0.8336783521580271,1.1008656410072117,1.1782208241905774,0.8699914192748956,0.7765242750302824,0.5607513175424539,0.5617754504767151,0.5156004152254821,0.4793383855535018,0.4967831894314228,0.5124276805269666,0.49672435180660546,0.5254451684399558,0.5324998792894124,0.8064524545328612,0.5641392092189205,0.7318409646268383,0.865176604140685,0.8263890689675575,0.8197631876033924,0.8586835574327066,1.216214631403527,1.7521526270705654,1.2895362183547738,1.623898668509281,1.0353860974855265,1.2089096713014398,1.1987972320062126,1.207038936431805,1.460226701602244,1.257345474977602,1.1878362655579737,1.046176422990512,1.0586060296475042,0.8996392277442419,0.7055951057039715,0.655852221281689,0.6827919425223994,0.6667381053600469,0.6484729501619672,0.7708102232032629,0.7339681704076203,0.7219003416919988,0.9990700146046753,1.073710717605134,1.0482575967179302,1.1622522158282487,1.4298379248461,1.437756472079671,1.2961461546828803,1.182905252727389,1.050664915245475,0.8589127014717366,0.8676588922200039,0.9260074558981203,1.3142140781897202,1.075079002872785,1.1340015589139048,1.0071922522940657,1.0077488772972802,1.0106042106784972,1.2385586527419588,1.1494701906132363,1.0754048695482394,1.1918613471397002,1.444187682251943,1.3304820247257867,1.3316748392824034,1.9911854125649957,1.913767298179843,1.530088399607254,2.171579710293346,1.1294259151420702,1.2467155637424592,1.173967678837556,0.9286950999166647,0.98663503503344,0.8934397328843668,1.0361372794760766,0.9105045285593943,0.8607737464106796,0.7681850461171211,0.7755150770112778,0.6353117639590156,0.6752712485991313,0.8031404590747904,0.7534868880078694,0.7168060460883909,0.8202593057820949,1.0763747973583828,0.908811794859242,0.824341807730277,0.7824620083372745,0.6834303984440729,0.6715123773659561,0.738765515635491,0.714142692541822,0.6945915573583245,0.7926582505346758,0.8353576504656895,0.8109244161188812,0.8310384790558578,1.0791447761580601,1.1620379292669476,0.9183184146195597,1.0978104630949324,1.2079359139408272,1.2163706701602355,1.0639833673523131,0.9490235849341148,1.6615141951476375,1.6217837674603013,1.1826132922105332,1.2566170603236686,1.0054073514794453,1.2791879102466663,1.6481399656745146,1.1042335114488897,0.8863976917700053,0.8613843584680687,0.8892384645267954,0.6445148878246129,0.7907004118562985,0.5883334164997064,0.8588133908424902,0.561741522982134,0.58133842681117,0.7503702950703678,0.6311913185959364,0.9810361187409681,0.7242891240809592,0.9043471981230945,0.9186640147941609,1.2966676877051917,0.9846202950761745,1.761982613200022,1.9049250587416269,3.0358451393266055],[1.0782990704081779,1.021269932433496,1.3168659010742576,0.669523844987489,1.01093955824031,0.9478106379163638,0.9484051716781273,0.8931704904198063,0.932463190819377,0.8310819096920761,0.8154939006052061,0.8320145515875311,0.7894223310399511,0.7414313514530769,0.7369305526509421,0.7343324813071843,0.7397947405395369,0.6745067723175799,0.764003066110524,0.6584586930635133,0.7530576845463501,0.8287130165749601,1.0271074558287139,1.0799768888030876,0.9983717052290202,0.771163319014208,0.6604718591041343,0.6097517136032821,0.6547887593536883,0.6211739985740407,0.6592997251742096,0.6465054099858266,0.705378086805946,0.6484647471490724,0.6251980191526464,0.6198154956701316,0.6220770915543854,0.6053488969331643,0.5895074317502175,0.6944701788720297,0.7560242192504381,0.6963397645924445,0.7481412617569789,0.9108242261174027,1.2980125566832956,1.6861111179914836,1.901268989622226,1.1477102895904165,1.1085519007630218,1.6035218805264224,1.308145997782314,1.6641464011951363,1.3923663229054084,1.2044793185937217,1.6519484913196716,1.1173705723753358,0.9738429442717909,0.9224747950431175,0.9433852597362522,1.3155639842120588,0.8656091025875506,0.8132245771859006,0.7248988615893702,0.8458994629284641,0.7577343564509212,0.7233919025628129,0.8399555280244091,0.6708468180065914,0.8113441857768351,0.936538490414315,1.0700359307015923,1.27022372072722,0.9783313627388752,0.9164575276218088,0.7607988830454034,0.872533010165592,0.6768127550215958,0.6790879551971019,0.7213612265622151,0.7385707208465014,0.6579946494028015,0.9808935925832524,0.7755371696925585,1.0356464308514035,0.7125458919881272,0.6244865882249964,0.623925762635507,0.7146255268326478,0.6348903894746517,0.652411807209405,0.6593788214487036,0.8303652844765729,0.7643541137882054,0.6806500698863048,0.7192320258887366,0.8099712492569949,0.9547139318245925,0.7532607779277489,0.7462673889556053,0.7748018117927272,0.7073305292510084,0.7532754154170295,0.6496243989284749,0.7121541477788835,0.8126558762862659,0.6876332602158883,0.7609260658025979,0.8466074427844481,0.722875711686094,0.7511773678537667,0.6588681803114071,0.6757488686910773,0.7963036419039623,0.7086494995515576,0.7374458715083841,0.7195119401236685,0.6586184251504685,0.6817211999765547,0.7511589911234191,0.7207969773139123,0.7904821687740949,0.7426458309131584,0.7461323991795187,0.7741722090806,0.8604782373682935,0.8277519071309338,1.00395109676507,0.7405270478782531,0.6350831447743301,0.715618806428629,0.8614902159824785,0.9145531804246968,0.9393860432881781,0.8343759874670964,0.7961056703848997,0.6472286825414946,0.7416090119911657,0.5741601460987867,0.4978033325722575,0.5771491156844063,0.6914256030939988,0.9023231647551668,0.702356436584477,0.6356609274219167,0.6684447437518279,0.6003859041274248,0.6139531350961279,0.6432337973780956,0.6621513855054085,0.7985218863116723,0.7868910838254388,0.8028896830522754,0.8894885235836811,1.2320405451155074,1.031448177857387,0.7441229967473963,0.7161422987493017,0.7372680979074487,0.6318445746615675,0.6308421780207506,0.5962764483994469,0.576379463184094,0.5767763493636675,0.6188227002717581,0.7798218179196248,0.8788784068673111,0.8332722449647716,1.0825406045021126,1.1327473724417916,0.7677355307814815,0.7488987853063501,0.6017076390552787,0.6172324281905385,0.602743411392646,0.5798493938412661,0.5969564436798304,0.6150501292327744,0.6079157066999601,0.6352152359459807,0.6401631374701774,0.8829984478309322,0.6566701025652448,0.7914081171855046,0.9169490920230177,0.8824938890904018,0.8714695319275967,0.9003216230626998,1.2848527259677287,1.7094660990772101,1.2728890585945245,1.5795168920363194,1.0408798833223005,1.2232308900690758,1.2224831725251453,1.2682396985439488,1.5399449609962697,1.2588897749781087,1.2061193151503833,1.0470169213991039,1.0262048244630444,0.9247015869637086,0.7619387126774314,0.7088584666744445,0.7452697097025824,0.7536147179992867,0.7691106644321042,0.9283897479573888,0.8644604196014782,0.845589645227389,1.14204726124322,1.2297745361924382,1.1871090842295289,1.2821416218755983,1.5684604578986825,1.5869671893487878,1.4710835665361308,1.3137056789341024,1.2245113448358844,0.9931986626449454,0.9834487210038498,1.0068328796335713,1.3325823887961692,1.1523328417422847,1.1316010985039238,1.0634251678991467,1.078024353960794,1.085416712821605,1.3270706206893657,1.218832654507329,1.141874160334289,1.262747325203109,1.517837689848002,1.3748116958880232,1.3730075947828992,2.0726476805258187,1.958921860472776,1.5315828839006886,2.159114087927012,1.1263747701243918,1.2801133367638136,1.2334250759208718,1.0001941409527773,1.0628162737581308,0.9738227835754322,1.1143679467219056,0.9970408382033993,0.9430709737584668,0.8513591626590282,0.8546095759922827,0.7286218622723171,0.7598295873404494,0.8726667595201048,0.8613587496688179,0.8231495770845183,0.9061772317143756,1.1671983262980108,1.016364982692173,0.9280805105345042,0.8961048281359129,0.7786089982489359,0.7593449866553438,0.8223759246572762,0.802231095523566,0.7902404710437152,0.8531645348207306,0.8949578468373951,0.8802789671232797,0.8722321282031519,1.1185564878974084,1.1997568208813416,0.9612636277173284,1.0900757224454962,1.2159121052158162,1.2387522404489992,1.0814220989677699,1.062881156936348,1.7469578916408584,1.772013350780797,1.3710741034618943,1.5086945027978504,1.2164890072980599,1.4853466214081752,1.9268118882260485,1.4126912765383939,1.1417622202317412,0.9043668529798848,0.8789475055823306,0.7533463060595833,0.7905760804306917,0.7074652712025052,0.9953581791871019,0.670965600653666,0.6974822624992589,0.7835923810389349,0.749110557428818,1.1057892970681618,0.8552477280849681,0.9744501635452556,1.0066542865292873,1.4111928115047634,1.0667295713614302,1.7402113808968251,1.9401004585948511,3.057468053225223],[0.992719836600781,0.9499543323524297,1.2771966283892913,0.596387002395151,0.9834304376058324,0.9010980594345325,0.9288542708536122,0.9005294585431898,0.9191805437033963,0.8422563751774025,0.8310935502046033,0.8387270552554212,0.8350061496623646,0.7757944878314034,0.7873407886674709,0.782376663808454,0.7979643793075945,0.7485110697246606,0.8480022818008178,0.7222932616362703,0.823472132051142,0.9068634806631349,1.050886112761416,1.1047647185589866,0.9840676943425781,0.8264003141757115,0.718604543122322,0.701959188794802,0.7295266764452308,0.6986889278880024,0.7263970835954361,0.7171163843077843,0.7695534177851046,0.7129847957111717,0.6870948686898577,0.6872064458890272,0.6830903201422183,0.6933687107235061,0.6518705190009362,0.7418108552947353,0.8234168883946962,0.7605162583191916,0.8031614854901267,0.9513369561778037,1.3696846850093987,1.696442076815039,1.9471002062291372,1.2055658493093286,1.144209251571382,1.550027794403314,1.3222967782068518,1.6552640458054642,1.3786605307073325,1.1904605532394548,1.6003172390328677,1.1011970478609887,0.9698721974372749,0.9267422118694936,0.9139274014532397,1.3553022823441878,0.8951586041672956,0.8543509203817271,0.77979743576175,0.9332129516120722,0.8352698948573667,0.7832103761088614,0.9173194645177792,0.7605305111966797,0.8938226747777243,1.0086325205565911,1.1471563597890608,1.3612249654620774,1.0424526508854526,1.0091587369572137,0.8380829407345122,0.9380616206914568,0.7636936770666012,0.758882975542538,0.805340923284268,0.8086330953176895,0.6935689886262962,0.947946727605875,0.790439373469121,1.0341011926124677,0.7379318681862858,0.6729764926282307,0.6781800848423282,0.7790438025270766,0.6989043969109126,0.7081938685660328,0.7362857688756964,0.8961793723530277,0.8437085565253181,0.7462971041867359,0.782128407643548,0.8729124476565125,1.0076822340657992,0.8001798391259967,0.7839850247542889,0.8009801924307552,0.7586037702816709,0.7969091459465139,0.7218210691943766,0.7861436945167033,0.8537854244836232,0.7617757584382459,0.8026157207337736,0.8536640716000947,0.7470613882596865,0.8167905135640383,0.7139059067598338,0.7535928209105699,0.8351202186218512,0.7707549210241222,0.788993974978461,0.7873450260348928,0.73649701795572,0.7689491516035903,0.8480580638732657,0.802799517121684,0.8670571723903692,0.7962934848983273,0.7903296399592269,0.8027367677021252,0.8650954482879932,0.8894708512249742,1.0263724226903956,0.8106376412462419,0.6984312499638944,0.738427069302235,0.8502856131297137,0.9084848804342575,0.9046128731197159,0.8198786754078512,0.7844299340623858,0.6925259824961932,0.7844171265408196,0.626134074189714,0.5428882162044867,0.6598983624556479,0.7739959021461682,0.9702200000627061,0.8123985569926012,0.7437196839789914,0.7344835301803961,0.704927812935453,0.7029258925164437,0.712939444609831,0.7343619868767562,0.8512170426542572,0.8333841716481849,0.830784169864841,0.9214395365651828,1.2309418515127608,1.0545742735576682,0.7765758797963165,0.7600595757886961,0.797101960552191,0.6836856619310935,0.6921744185609543,0.6630943332208784,0.6640109416079464,0.6688583401919544,0.7070485120573186,0.9662005344984829,0.9149541698449494,0.8247260404630367,1.0199787355090182,1.0681077949821245,0.7600930987201712,0.7706782708737056,0.6737427479163797,0.6688471891951107,0.6676994785578497,0.6575997479174238,0.672240619066741,0.6900732236227622,0.690530819719777,0.7174924972372212,0.7058214829967667,0.9909686747885744,0.7046878891770044,0.8082319098242332,0.8963904220365235,0.8655939895338334,0.9061523902261905,0.9330293510556874,1.4212357312695731,1.7214994514293007,1.3436906032905287,1.5724524492199117,1.0322099938640186,1.1724711376489179,1.1836819262033098,1.2323710353351525,1.4758294367589888,1.1915954864962048,1.1753760039599954,1.0293306724267621,0.9998556915339775,0.9373622948077751,0.7942098423586303,0.7425807969594105,0.7823553185409596,0.7924307531423673,0.7999248543725914,0.9435380701878722,0.8918828223882859,0.8654336425799739,1.1274609393528952,1.2106997908256951,1.1757024096934447,1.2535348399098016,1.519704375219451,1.5586978446749573,1.4470008152191642,1.310401661060511,1.242868617401125,1.01906656686765,1.0099841520743975,1.0556821164129078,1.3575936063808176,1.2110231622651557,1.148188151110943,1.097836026268488,1.111042359170254,1.1102631814828552,1.3554391928327032,1.2527670043685588,1.1666250569268637,1.2759580931233332,1.5404602933543246,1.3803666664682346,1.3600942094356805,2.0688413387841273,1.9316744920396745,1.4941190441843875,2.0290136458863017,1.1111057455831004,1.270223753037524,1.2355616292924438,1.027621246686383,1.1034581592118688,1.024197882292044,1.1479964222874761,1.0347261762431936,0.988212345164702,0.8906558957596362,0.8824082590735093,0.7646273250104005,0.789046816965901,0.891115780096244,0.8743543306983891,0.8454567100305158,0.9135601664163306,1.1547765785516888,1.0153854340716608,0.9388311512978778,0.9173603870407402,0.8159645232925662,0.80360484545533,0.8661318426480673,0.8448620185904666,0.8286981301842345,0.8899433292936955,0.9382905693764299,0.9214879834313249,0.9068621120911636,1.1499692688088277,1.2410020327959679,0.9993687082536132,1.1008818449432274,1.2502045023248005,1.2893011900573605,1.1197899042324126,1.096072121502328,1.7984483784358558,1.7560178796192945,1.3865587096615275,1.4793549751749557,1.2077995934934431,1.4379192666706517,1.8459701499955254,1.3684647054144863,1.146296300547845,0.9394116212859244,0.9052204908204295,0.7963174278544859,0.8038068134501228,0.7497012609349137,1.0188159741384888,0.7038891406538961,0.7266074808823103,0.8007539565134404,0.758074916882321,1.103925243765777,0.8387396435087295,0.9594521278879681,0.9736726679199221,1.376902640070225,1.0268780705017413,1.7473785919757698,1.9389735552006027,3.097596114434256],[0.9437833473045625,0.9491924759399827,1.2909813854330607,0.6476323642872157,1.0202017257732352,0.9389803820817552,0.9807715468003728,0.9636065426040036,0.9770659913914723,0.9066775321846965,0.892782614992005,0.8810442788334573,0.8825014880653101,0.8334215212864806,0.839121157954788,0.8186259467953348,0.8245235318826487,0.75886140102368,0.8431875617344151,0.6969771618165933,0.7869396587105094,0.8651791448823841,1.003645899660915,1.0636141067402196,0.9518208732067955,0.7902818719650871,0.6837788055334296,0.6952789117440402,0.7285445723822186,0.7154577724042543,0.748435052026256,0.7431925222349762,0.7904317861711448,0.7182216858969186,0.6794429089722729,0.6787288286693848,0.6738403582370704,0.6656936491477011,0.6152315953139512,0.7006691212778244,0.7828884254647099,0.7158824591752221,0.7581295038288852,0.9025157357306997,1.2962621116994908,1.6257621377273335,1.8867780310335567,1.1414333047165577,1.1066692060243346,1.583095378935215,1.3065715061220404,1.6555347076051772,1.3327084543396945,1.1708613152015324,1.5609900834590689,1.04759742171512,0.9245383569685931,0.8907238621140886,0.8623324479963538,1.30732786476991,0.8615259179621816,0.8211992928547086,0.7530345585247944,0.9032413895197373,0.7935884096991846,0.7510086110199196,0.8936536640294546,0.749264007723918,0.8925734560336953,1.0237706145698462,1.1625453259431937,1.3756533400003081,1.0477867601604114,0.9989292463597133,0.8380802464484207,0.93199684535651,0.7379213187996544,0.7348407384197068,0.7688598746444344,0.7666791351576298,0.6576154053680118,0.892818237100301,0.7535057783444754,1.0006075815905584,0.7358215822163224,0.6400674552585345,0.6352208608133707,0.7519523411656788,0.6697320572149145,0.6868320398957543,0.7342468034727715,0.9038653366676596,0.8627324346590521,0.7666371504766057,0.8154502209473276,0.9157267447963184,1.060224133402239,0.8490972157623253,0.8380677192895003,0.8476429607600562,0.7904711461177537,0.8203507958025125,0.7480088746909029,0.8021649053117342,0.8339597661720579,0.7673363735308246,0.8000859754162077,0.8472670196087988,0.7443441440447882,0.8484954605212632,0.7586742494288023,0.8069055005983371,0.8895083954643968,0.8271941996852569,0.8389496629037129,0.8400612684447667,0.7653108324881485,0.7821995011256636,0.8390657084955294,0.8211948154908311,0.9000872208895632,0.8477697229039151,0.8459133767093847,0.8672682592152958,0.9311283241101984,0.9762751670015488,1.0670830791244457,0.8593348354225298,0.7189116035741254,0.7329933041748881,0.8503212916987639,0.8860557535326864,0.889491137127331,0.8075510020639403,0.7937881266650555,0.7267445141551,0.8207602599184469,0.6595438305568211,0.5854692315134693,0.6710786306391366,0.7495630978594747,0.9092244811201835,0.7776227434738917,0.7234724815696659,0.7046435531353393,0.7020274172557207,0.7182892192961388,0.7443760332989757,0.775427342082941,0.9062031703545859,0.8792215368906476,0.9022541862450171,0.9746831930445954,1.262269279183279,1.112077149409843,0.8306098457494497,0.811316926184537,0.839194426124876,0.7158479077997996,0.7097674851038306,0.6719315394969289,0.6666857991808174,0.6609853586498586,0.6825198712631348,0.9456378231958013,0.8612100848494728,0.8539686798618845,1.0816748982784634,1.1318861695758728,0.8599516445335954,0.8177729184922771,0.6919068824404864,0.6768663583037176,0.6660973714236034,0.654632446953483,0.6741014773400038,0.6950274140564278,0.6903930045424795,0.7038355620113436,0.689960413969357,0.986120882540615,0.6992997021298001,0.8124592218908501,0.9029529417840341,0.8591196785284773,0.9106607898021896,0.9325924452857292,1.3805166308699623,1.7789954540800446,1.3961345549251636,1.6404116479665105,1.0725984517221054,1.1802330006074808,1.1734358872448272,1.1729303651765086,1.3571886032310632,1.1627879533642176,1.1332540780700209,1.0017701798232506,0.9959699823752826,0.9184163289035117,0.783791679066901,0.7516258085830525,0.7894902890783366,0.7842486453397414,0.813461312268067,0.9570373304640049,0.8984077771231473,0.8774221688478316,1.1301525582109941,1.1973340930656609,1.1579494942116515,1.2426806263530472,1.4954028671037891,1.5032195126660277,1.393474687338716,1.2654023721189562,1.1916758476428815,1.0010784524268443,0.9924746066360971,1.0281699270028268,1.411787241383365,1.1753926743373337,1.1217925774589794,1.0383831199212201,1.0512033567520265,1.0442591283354143,1.2708347435181966,1.1665780334457563,1.1026965375616293,1.192365527217092,1.428426193598742,1.3020513801537128,1.2769197708203366,1.9630405781207378,1.8182795241605643,1.4169831916591906,1.9828954449349026,1.0669951676468992,1.2252334566900747,1.1713045781194116,0.9775437109295445,1.070738158165991,1.0021189230457408,1.1408505060132366,1.0082542910887047,0.9763863186232424,0.8947236535207638,0.8826720474084395,0.7671279906104732,0.8140556967795486,0.9319623958189,0.8938205381973006,0.8625457799922507,0.9340389057270763,1.1590030884309004,1.0245312299554015,0.9434736507451841,0.9210862107811322,0.8137715750268906,0.7988251224315247,0.8427864042565893,0.8311083100197577,0.8283495505730466,0.8600465921670368,0.9103381325282182,0.911442224940221,0.8973263117737847,1.0958069892587479,1.1992280788667333,0.998804878685439,1.062786348576306,1.1822750977319627,1.2309964058355747,1.0991624893178344,1.0875021294360807,1.7516259903552291,1.7396842062091795,1.3144252760649269,1.4046744140341951,1.1756609764379464,1.400896820790528,1.7711297855932209,1.3131292065975553,1.1055329265221023,0.9826734993003496,0.9522082964807972,0.8285548367977832,0.8147658716910893,0.777057687299001,1.0536619845858297,0.7287869479193091,0.7441628209634097,0.8432134992631833,0.7969902358037912,1.121455325424733,0.8397625039688792,0.9871383048305157,1.0315199184231978,1.3533235761383826,1.0578294609850867,1.885480674650539,2.1112278101025117,3.2113766399876287],[1.2451808955368369,1.224654964204913,1.5076977218173118,0.9166451222502466,1.310527146549953,1.217589661308549,1.2523382231780835,1.1931197799100464,1.2442788739235153,1.1776831604799909,1.166116330384592,1.1463781192835727,1.127968369100691,1.1054680191593482,1.0727031496472679,1.052244576424374,1.067874215403718,1.0054298206518133,1.1064533545647388,0.9028647846342687,0.9793800979003279,0.9697309682497882,1.2198468113480312,1.2488628723573936,1.1632917493173167,1.0270362292042066,0.8982224290636027,0.9266854036181589,0.9484384162692786,0.898090637826836,0.9506438484208278,0.9093780224869362,0.9557387287846745,0.8760761744273784,0.850070005127576,0.8424361190905402,0.8212836741974624,0.8092975157027003,0.7529340440582115,0.7843969171857238,0.8536239132177317,0.8512820173200815,0.8481824529385904,0.9918241753017634,1.348253114150661,1.7461894499357808,1.8983693160912785,1.1852962283504134,1.1628395736082775,1.650757813378818,1.3341576275069793,1.6869772825400973,1.427571359393063,1.2422140173748413,1.6914073671757408,1.1646695344723974,1.0232102129652656,1.0009683521096344,1.0139660743105434,1.3706476717846308,0.9597163054958959,0.9463990885302715,0.8786247392576355,0.9894991847481923,0.9086520230616111,0.8994617288582264,1.0709790393471645,0.9619332872903882,1.1401870571499084,1.2325460039491445,1.3566065172509203,1.5032132644341836,1.2745487990158557,1.1914054336597677,1.045051793577326,1.0670545882612925,0.8975052002643888,0.8931405172968563,0.898817437029004,0.8659453311780985,0.7714120381008057,1.026400398160002,0.8460732636374005,1.086188841451506,0.7705638107318515,0.73627024726394,0.7698916978367564,0.8487513019088163,0.8217939571422724,0.8410490160961653,0.9026223330051756,1.0299184358154252,1.02570415009711,0.9781961090639932,1.0297607730100713,1.1118172658397805,1.2624934664091032,1.0288151234257388,1.0355873306142096,1.0156407191747536,0.9528831174896251,0.9587596400742197,0.8608822420227977,0.9021438461320281,0.8877193897812635,0.8565758176592548,0.8947802049763388,0.9633541464610421,0.8707830558083838,0.9455189440486195,0.9218708536201583,0.9381144857900608,1.1028064918533267,1.0259284361477794,1.0725959950538628,1.0871657107545611,1.0155386465278387,1.0570953764109798,1.0859056451664713,1.0779396874184732,1.1605200398193585,1.1036992296730996,1.1079510904635799,1.1424035956502077,1.2107604926924558,1.194159026410221,1.3086026236554258,1.0247552136980131,0.8511313428125644,0.8300186140026958,0.9706754397522279,1.0313427304701108,1.0357350749896108,0.9227906218707285,0.888400788918518,0.7877097455514199,0.9161204981691199,0.7670233777839048,0.8024390815715399,0.879622787413374,1.0661690017409666,1.1778987418978974,1.0167909705798277,0.9592732758063395,0.8320664217647672,0.8764765497272233,0.9014098292987074,0.9151268419000728,0.9206389122482458,1.0851059353236745,1.0371591728097025,1.076587075287411,1.1053448248334699,1.3860017146101637,1.2132553418613765,0.9952939431947636,0.9917679833161799,0.9813351243297139,0.8772024072250589,0.8226680222211902,0.7717893502177384,0.7761068062857783,0.7782383618063335,0.7576372688977143,0.8806378885733148,0.9308439698261325,0.9098175678989765,1.2034749971252077,1.312686790951143,0.8448622662674827,0.8483447154738619,0.7251896522174032,0.7085267452148749,0.7120361824101527,0.7137895751992522,0.7374874125215275,0.7974425183139374,0.7480072184303046,0.7489897834315649,0.7449790550994586,0.9616497785789578,0.7619224623690563,0.8731707320956289,1.0024008027616538,0.9528512130049506,0.9331679379634252,0.9561602964150231,1.3067278573344194,1.7256980266913025,1.3367852588815223,1.681724211445416,1.1346856800875034,1.3405332059786057,1.3320489269791231,1.3510151775302472,1.5543344747705823,1.330346224846772,1.301766359972491,1.1546899460587903,1.117042127129006,1.084923670669041,0.9471420668063306,0.9172522769001445,0.9753840204844146,0.970933946868521,1.0077003733307717,1.1909945429015991,1.105416160235369,1.0639053657119828,1.3382405329594733,1.405780119081209,1.342170408476761,1.4245529363425202,1.694260130474936,1.6675137791984025,1.5905305119148117,1.4214762851990583,1.3959308965966268,1.196054061181903,1.1633027204298874,1.1844531465928005,1.5470386267093783,1.3327932494046315,1.2548829729781261,1.2228199356156697,1.2510049982072307,1.2344271340160604,1.483915347583395,1.3675723727965796,1.310092162171408,1.3816479906075254,1.6037061257509404,1.4985644407264072,1.4713704053978396,2.1677119441331767,2.0035969379006846,1.5626636006780086,2.184848482384637,1.2201308382100464,1.3724247902903743,1.344626010924962,1.143938336010563,1.2205836429638632,1.1641004981668663,1.2776711875451725,1.1553957543815376,1.1259151248105173,1.0328542304601018,1.0223081731649053,0.9326873594402997,0.9621732279990319,1.0653291756797394,1.0611298836132494,1.0259481595819897,1.075593665232377,1.305037895184818,1.1840127682226786,1.1008168727308403,1.0950460179347956,0.9861024972324544,0.9693876410876514,1.0380166158113546,1.0135205055970564,1.0124917793021533,1.0421147115283682,1.0961839269869116,1.087660693745746,1.0762897688081856,1.2718761839332493,1.3243052476318813,1.1696935575249858,1.2200924383877196,1.311322554058559,1.326148908835693,1.2486478459401407,1.320219956395758,1.8843180753369235,1.9743966851922052,1.5236556523840246,1.6658778710125661,1.4312957240457138,1.6568895503748127,2.0793702314467546,1.6689752336557502,1.4341757741177306,1.240371684681471,1.1260683514309,1.0687917861472696,0.964634657463871,0.9899130491541174,1.27453661815782,0.9098387480461518,0.9327332103108886,0.9769041139627012,1.0177299205428234,1.3332113837905475,1.0791626124679286,1.2001944881187576,1.2689220727662693,1.5635944206091312,1.2641916020089772,1.9825148004267878,2.253163356722164,3.255351492617474],[1.345663082586281,1.3096211556134167,1.5945848260150899,0.9539238481114425,1.4022257222325971,1.2687126061331244,1.2606164110292795,1.228116593192473,1.2019375899186522,1.09322165402022,1.067331628414309,1.1036324159958746,1.0764658214517038,0.9882871336797564,0.9756487690944294,0.9926217889253464,0.9972224777270703,0.9289841720604892,1.016636435223044,0.8696637790747647,0.9456574059778209,1.0104944647646896,1.217300034950458,1.2512881601906478,1.1268086343584394,0.9692537314514653,0.877341717300744,0.8772161476292437,0.9225331392460627,0.9028292034733718,0.9009465945836143,0.9193954911848011,0.9576903829117738,0.8907632192457439,0.8887350336838679,0.8627783717875472,0.8849072305593354,0.8549127477146701,0.8157883107591273,0.8656328160383864,0.929271510790042,0.9026318074832881,0.9299722668287611,1.083278657320552,1.4886780270551112,1.8581783387847368,2.0327040908072536,1.316118898579786,1.2364873410133939,1.57827981973622,1.385456527711855,1.7009513806601708,1.4924861388366015,1.2890498726249988,1.7337161778237087,1.2551205627100364,1.112425554215278,1.0703300803091997,1.0880303541387324,1.4586509194512802,1.0119256565008767,0.9814982062269768,0.9023932978763054,1.029483831271782,0.9373344809332215,0.9103230404125554,1.0101187212529497,0.8966436815632828,1.021890625524069,1.0965683575379754,1.223591760506484,1.3894328590585638,1.1243019189298076,1.0972490412352454,0.9548436192336425,1.0313543394519396,0.9017126836999376,0.9059892343703478,0.9501210790301822,0.946519628752181,0.852846422786453,1.0833794932527392,0.9723301739737525,1.1500521095684564,0.835681681300654,0.8274758835535267,0.8351032369090525,0.9378400268267064,0.8612819667796922,0.877048658761458,0.8865030138408626,0.9692997072847266,0.9592462133569313,0.9207729413706154,0.9581415951402346,1.0189235905540788,1.1624049104939107,0.9748429572155052,1.0117696768602504,1.041059271262612,0.9903784451646157,1.0439358347157544,0.9520142696909569,1.0467535474967256,1.0398582104059366,1.0260188065381384,1.0451245492248769,1.053804669138223,1.015890870348747,1.1264500190592794,1.091435909593932,1.0617931192340526,1.1550444828717312,1.0553923475982452,1.0236584664065684,1.0028709568271936,0.9176875305875554,0.921367989073217,0.9848781128364572,0.9515870660361977,1.013269226923545,0.9657130528948548,0.9460592701067401,1.0160594198123476,1.1317696913352346,1.179779080876066,1.3922274919455706,1.1618444329272046,1.0401027633611206,0.9398598435498907,1.0260250946157528,1.0805827596985207,1.0222676256140057,0.9632180356396552,0.9366042731969133,0.9200841137963972,1.0266225098656907,0.8954883513242058,0.7829794707270951,0.8781098481206643,0.9413177180953666,1.1288151698118125,0.9574681403409464,0.9286675260347935,0.8675456051035991,0.8950112578890618,0.9072812919311971,0.9424034450776128,0.9897309913898918,1.115238726694721,1.1239046689311751,1.1198835715974205,1.1804372946080806,1.4611497892155478,1.246409900279451,1.047200518632674,1.032971851493163,1.0712296981973373,0.9425878562012401,0.9496719454122674,0.90104228365707,0.8636780189822213,0.8647635764287759,0.8803354808716926,1.0741190475575966,1.0482329737455507,0.891427887863955,1.0547444860162265,1.075367717213699,0.854442600405381,0.9066365476942942,0.8712990431858104,0.8344929648293672,0.8436089490510718,0.8453176316212461,0.8722100040790746,0.8981050443884259,0.8813491532939893,0.8790310812065097,0.8844378743485445,1.1045992611444444,0.8999214448862741,0.9363973458923568,0.9875368231033781,0.9600041120794147,0.9559112684743226,0.9727990340763567,1.4381368487820998,1.6661043161340463,1.3124510806233172,1.5594127642605033,1.0683347471007751,1.2073073913165364,1.2316315595805292,1.2940382219889321,1.4929984840852637,1.239617717638292,1.2577054323047514,1.164898741723871,1.1165661212010956,1.1383047653477483,1.074032465686959,1.0669936667999014,1.1371113146807712,1.1368699938747342,1.2052995181099508,1.413540343564135,1.3195234064627028,1.2658867780316199,1.53677998973265,1.6251104359339739,1.5603997399969964,1.6120535871695776,1.8834692591442952,1.8989561578580172,1.8464808071989411,1.660349673791736,1.6624402947927959,1.4254754169000303,1.3826525850505873,1.347880431149823,1.5981770070695944,1.4530963676190793,1.3331021676207209,1.276201888076117,1.2794394886256577,1.2759212058587523,1.4646329844854538,1.3727541349507084,1.3111450339911188,1.3850393164221402,1.6030492069593907,1.4439526222245755,1.408612959529025,2.0723873341215904,1.8534564965199212,1.4806081518346201,1.898241395814088,1.2445395133009336,1.3622600919569776,1.3573733306536424,1.2217797618896948,1.312652637231804,1.2615704029752601,1.3382595085648168,1.2664439458221164,1.2720948398801637,1.17051002905249,1.1503835552616832,1.1067035573445116,1.1373017068901738,1.2242006509406382,1.2495942916644431,1.212226952096657,1.2659298559371024,1.481706898988482,1.394443982566172,1.3065462568085617,1.2927462920385235,1.1620018612836809,1.1221715577543763,1.147317593417679,1.1788197461420578,1.201132770506716,1.1461846480775637,1.2085044198020025,1.2496614467732157,1.1851061823535693,1.2880514114955726,1.4518424740768812,1.3298774976872458,1.2353720953013483,1.3500720495397986,1.5098452609724111,1.4187735883354256,1.5594692096894536,2.0542998109015707,2.1824789461084397,1.8143180327175419,1.972806110587247,1.7013521927967485,1.8853289745867932,2.3321116683500196,1.9749097115382637,1.7784678682992432,1.5423967680211839,1.2969119113157508,1.2920875723743297,1.0744685538776164,1.173005225722723,1.4539534680512132,1.0950272334002364,1.1274340145482245,1.1311384278444874,1.1727522782847988,1.5006118586413524,1.2497306350812483,1.276026662686373,1.3326163722345672,1.6890655621822368,1.3570722941137832,1.8953962273687124,2.1751835836993787,3.160267849726181],[1.5804892624989715,1.4924080606950252,1.710142055189913,1.1744097199593349,1.5159252383493738,1.3853929409458845,1.3641060088934387,1.3170540310420926,1.294645066431201,1.1540279641480127,1.1229242538881452,1.1490418107523532,1.0744454633620486,1.009083501211451,0.9762751533051726,0.9889340329806638,0.9549867731707405,0.88253209114573,0.9237948868628041,0.8413258704637057,0.8987406221086033,0.9789191097304293,1.171570228928051,1.2069522008271671,1.1127760253681214,0.9207802893406737,0.845087306978652,0.8246026122518781,0.8937956140137987,0.8789937001927975,0.8996599757035197,0.9217709945584168,0.9677364708236128,0.8964893370387361,0.8772272571172158,0.8518629213473999,0.8693162181992631,0.8306095064484202,0.8109065530335781,0.8635234452109003,0.9090461876158753,0.8912689024713603,0.9265988878415271,1.0763084992785377,1.4594213235120224,1.8377760312735638,2.005209522163003,1.297890195657039,1.2419821266945659,1.6229290654925934,1.3893740925487927,1.7092205733474901,1.5213296502943854,1.29361147795432,1.739979560971417,1.2806441406105353,1.1333819142894388,1.0674590615847368,1.1071595596760457,1.4331371338748193,1.0050967394464494,0.9707804087933227,0.8893447698505302,0.9782500183456153,0.9098062919141293,0.8924608965878766,0.940108329488777,0.8406554426735207,0.9493356139845992,1.029650877460899,1.1506580136875322,1.3480380177444866,1.0618135429367586,1.0117350946491357,0.9080923822277729,0.9465387241022637,0.8608565467109535,0.867820090831297,0.9282622484665823,0.9307942220937908,0.8573337248505128,1.143887992591447,0.9877318768631704,1.1899790097422995,0.8533247496284079,0.8455066895869375,0.8319310667551454,0.9472662624729629,0.8623538969710268,0.8868894365931779,0.879106134179248,1.0160504432955755,0.9685292699529416,0.9043892439916844,0.9514491250100756,1.0183308680884398,1.1495171768699244,1.0542851390518477,1.0658583623400366,1.1381246193930565,1.0182237002291068,1.106078026762372,0.9734731490702261,1.0423823020702503,1.063633308587519,1.0197721463521983,1.029216662231516,1.0429004226184526,1.0338779837332521,1.1264296516237666,1.1505026396655578,1.1098056954847335,1.2025056958767961,1.0686858848420533,1.012602635610232,0.9570604830305847,0.8841331102844796,0.8492785989915128,0.8885912917460774,0.9091660403463712,0.9425131590070206,0.9417793486418864,0.9673837358351202,1.0369533246920624,1.1704444236906655,1.1790330232905748,1.4397490683901655,1.1990676044053057,1.0732062750246145,0.9400908699612447,1.009910184258615,1.02635103731244,0.9691066807393511,0.9392688519386196,0.899626026014555,0.9181330894781567,1.0472528971412216,0.8865020835012706,0.8153991686087492,0.8564872080792287,0.8747232034511402,1.0637173353754985,0.8858125550608595,0.8488103312133521,0.8914724009322639,0.8341953230918056,0.863091008326411,0.9329632284015436,1.00924149651044,1.1603218486207243,1.1851730610020088,1.2148087644404804,1.3061017466560298,1.5260766244569957,1.2736210541097859,1.13267446231016,1.0808667477680312,1.126331862504852,0.9723079068607895,0.9698877644956091,0.8906526271636508,0.8259929192349126,0.8044940024721358,0.831311977317614,0.9824540874207806,1.0418520001027782,0.8787515882880257,1.1117203751755151,1.043730707755819,0.8043106572176272,0.8416615745411368,0.8256573501519942,0.8028146259387173,0.8185173850883585,0.8251860978588568,0.8570552595631311,0.88484884613596,0.8728453904558969,0.8710355585091403,0.8531143891454511,1.0607448792909635,0.8716906780659156,0.8894946777113674,0.9550523068370378,0.9453933855281125,0.9647278954092942,0.9950374796611163,1.4077503701392766,1.6790403933371938,1.2850192561913205,1.5455354527219862,1.0710904005415394,1.1979709971778945,1.178072055563748,1.2432060346889962,1.499637831944318,1.2044051415626162,1.2440985616269384,1.1588183990650267,1.13033936297375,1.1586812554434311,1.1071128021767374,1.1250457071835083,1.1852956835538766,1.193947692905474,1.3053097424428857,1.5174014188719338,1.4203319915636319,1.3829536614010234,1.6688061122747573,1.7491167106741194,1.692370634693705,1.7566503939724227,2.0006863702091757,2.026620938391466,1.96016947716899,1.7766131978854174,1.758080647709277,1.515556711567679,1.4700765778713056,1.4203232318168302,1.6755897396731794,1.4988991432659484,1.3535896991841654,1.2706412797265207,1.258606153402963,1.2561517656436838,1.4225953694255746,1.359185615536836,1.2957117244470928,1.3529435448791545,1.5739749801967373,1.4278831131713665,1.3877725511890542,2.0145534950356043,1.841337702708739,1.4732522817618288,1.9130352986183465,1.242318938417837,1.3536487697612378,1.3156941418039552,1.2023564959000446,1.2696771473896995,1.2220556731828616,1.3234030032779927,1.256123153554662,1.2710821657883642,1.2033458969202628,1.2042465582461022,1.1766022711109863,1.230345565032733,1.3244390170833265,1.3732134921234247,1.3330605231919044,1.3918813216542536,1.5899848782960857,1.5347237650895031,1.447586203900171,1.4259849856919242,1.2621418733246101,1.1938850169660784,1.1817008592707374,1.2512838076570392,1.2812997341187302,1.1835146652306525,1.2449710249353851,1.3075852175380376,1.2215024107078358,1.28954207916731,1.4888502190534285,1.353590400504721,1.2369153811932136,1.3205179820152033,1.4792777267523187,1.390177585371809,1.587068522742795,2.063223500235096,2.2213374282797362,1.9068668065969474,2.0898295625688994,1.8110138714949224,2.011856939048775,2.4493705582230527,2.0864843101573443,1.8730419259207431,1.5966479872152315,1.3379015168406818,1.3641849552299747,1.1140842262140567,1.236415435221058,1.5325256524366349,1.1575356070129075,1.2221223806984658,1.206566296272589,1.2647173070091913,1.5934808100391133,1.377738373599028,1.3977030470467808,1.4664584179632543,1.814685668053169,1.5374440533960283,2.0455545737440555,2.2598852031666232,3.226319893465344],[1.1752895719643768,1.0974809600159572,1.4015729990575196,0.7270631838601093,1.1213302383650834,1.0283169943356034,1.0395654938182806,1.0200136954341987,1.0236309997522268,0.9511523585498463,0.9328874212206001,0.9484318094966405,0.9574602948212202,0.8943495950074741,0.9061982939160855,0.9138700049635878,0.9242779894917281,0.893045767049026,0.9865811403468087,0.8848010377844421,0.9662553891780773,1.071384876216604,1.194475214632423,1.2412617331668205,1.1030613806862062,0.9676896287409117,0.8899961736268588,0.8743101879368778,0.8938687210831971,0.8674670054730798,0.8706094974442252,0.8632365178262112,0.9048246892338929,0.8751235093022418,0.8733270798312104,0.87916335479629,0.8857775577867627,0.8946508338969442,0.8775446947896393,0.9775776600712834,1.0266592994082153,0.9682277558638822,1.0190585445481246,1.146491476776668,1.5335226979220022,1.8294000215953732,2.0592885525540487,1.3896362549783725,1.3308843563232364,1.5597966528164176,1.4675161778789065,1.7887062048064257,1.5929368735146379,1.39839189504519,1.8183173755830564,1.3445691139198002,1.1751696731268193,1.170791516442648,1.1725480794829868,1.5243990965504546,1.0908641443991471,1.0417507301297393,0.9628790196041263,1.07367866654003,0.9913503430224785,0.9652975139705985,1.0271519473153674,0.8959879158182695,1.047710543936351,1.1069564480179852,1.2536924249702546,1.4574574513315808,1.1476420068023063,1.1281316900988443,0.9382833648933502,1.0324184999510997,0.9408504516395552,0.9442548224698828,1.0070473689222688,1.0499257788668415,0.9292571518254423,1.1434751078076526,1.0665310781072617,1.2875127095831564,0.9722094773151312,0.8959251470522809,0.9025915958960885,0.9954669413104709,0.8999692771572161,0.8887318928412279,0.9135185051590691,1.0019730368999322,0.9656997471466013,0.8592565711641018,0.887513794279037,0.9416938967127829,1.061605383666471,0.9286026174341869,0.9141507403465812,0.9453487895107054,0.9319552580519471,0.9819135823239369,0.9587723212940917,0.9895412291693105,1.0327138754773866,1.0041098705803542,1.094283732635921,1.1255014299977435,1.0272854911530058,1.0425248464379366,0.9496414194544021,0.9561788068649318,0.9820533711648112,0.9423865641683606,0.9251192657461774,0.9255247267387027,0.894596747747852,0.9069990779954656,0.9740944992012022,0.9441614301793873,0.9880184420957951,0.9246477315263995,0.9232754767683505,0.9152226430150738,0.9716413374150115,1.0082129571420375,1.1516631819337328,1.0219874995629645,0.9528522620105346,1.0116677777919445,1.1036518343081207,1.200860499224661,1.200207723727475,1.139454780782984,1.0679820487161966,0.9558945802882675,0.9916337378641513,0.8573378537060238,0.7484302025604115,0.8586152751059468,0.9470361716089652,1.1435965539586717,0.9719350985078437,0.9097282211301293,0.909944918128029,0.886896325076847,0.8841563790780639,0.8856343439765415,0.9224948722691599,0.9817053421657255,0.984103596871545,0.9495068274906897,1.0460371150145549,1.3097643389506108,1.1153839275240889,0.9408669753250833,0.9130932606479084,0.98345347694151,0.8823169498691686,0.8932098778586196,0.9003607866951265,0.862337995287122,0.8669638889477291,0.9138433742298374,1.1591308822906727,1.072569058682868,1.0563786774284172,1.2057334001770694,1.204353817248859,0.9443905218636491,0.9911680778459194,0.9127957835222079,0.9212734236410065,0.9270138631067083,0.9020264685466506,0.9122893602146097,0.9004925138727268,0.9385739814777802,0.9711369905794921,0.9922411801180123,1.1777957759276207,0.9880762099755347,1.1135240819355376,1.1988927939116871,1.1487600436334542,1.1303926874985104,1.1125866344155089,1.596661977411892,1.7211586073823595,1.4700652697908496,1.6561080611474028,1.2419919086438063,1.392860375015908,1.4255572058145327,1.5118022377418008,1.7426091073602263,1.4067823878520473,1.413671206316071,1.244221195184017,1.2040493903615195,1.202954126310896,1.0607535194271456,0.9908974111622756,1.0187709853422366,1.0411533623078244,1.008995102347148,1.1307462246059374,1.0937548491214941,1.0563073560705383,1.2658434324950338,1.3418067955141106,1.3007871725282423,1.3606050797101454,1.6239180038051981,1.6646575855810808,1.5840723280453677,1.4297240104373978,1.4229862242017504,1.1886421143542807,1.1735475655113081,1.250908140657506,1.5106534692711144,1.386448976244457,1.3053837211225294,1.358523379644334,1.4236278379796252,1.4286739690591612,1.691537017692762,1.5786211928098155,1.4656408283628988,1.596330052434288,1.8591422426811446,1.6600188442062747,1.6395126357494039,2.386214030385503,2.1865921634282515,1.6971990864556887,2.1504889116952293,1.3301362757348274,1.5501849312064555,1.5360113140137746,1.3225407045034743,1.3927913550076532,1.3247647222085541,1.4305449872864662,1.3091855526607552,1.2440053763214052,1.1797361788056016,1.1641688509930284,1.0159228862173613,1.0102305523179151,1.0551805154283505,1.0511129877393786,1.0562795354513794,1.0662030145599226,1.2655686853034684,1.1727075298713607,1.1188287620173731,1.1118599402184508,1.0487865425928389,1.0574052434086785,1.1364587184156034,1.0733562149210778,1.0474278108684003,1.1390356856503892,1.1716837017708621,1.1229434304690813,1.1205726278693178,1.3753106091593148,1.368997654003925,1.1592695768263197,1.2986997329838403,1.4166917864552748,1.4088846434479785,1.2612423970882454,1.2870194418383798,1.9137455199992888,1.9184086353485243,1.5975470039429975,1.6995531454448751,1.393973934323905,1.585442514354056,2.0406555629901515,1.6241587047878485,1.4404053838017636,1.1660342357239977,1.0628495312713357,1.0209791826462153,1.0232283025950097,0.9742952250446467,1.165803188732702,0.9575025069736914,0.9801423572070055,0.9925439105081599,0.9512437668390807,1.2427832896721263,1.0288645208969605,1.1073989934785435,1.0790326470645195,1.5070339476952328,1.1660065272074795,1.7908135357687576,2.0664213821067885,3.1922459894638178],[1.3535029669345566,1.17271356307997,1.3988443733813387,0.7733026905647085,1.1200779502947535,1.050590532123981,1.0453973543976334,1.0112888128598614,1.01199055149711,0.9196161086685337,0.9095283361094291,0.9543457679831155,0.9285935737932351,0.84686781548739,0.8552355667263325,0.8931719896372802,0.9093662497186668,0.8759022979548234,0.9771352590639274,0.86942250059292,0.939388213022181,1.0099966831644962,1.2228332207937385,1.2322252593678613,1.1414473106489025,0.9533305822498755,0.8872468602168895,0.847688253675421,0.8945141313918299,0.8346085238913922,0.8388149653920285,0.8355387070002109,0.8806396846188208,0.8625741696082017,0.855241906602708,0.8371494772414154,0.884461156992522,0.8678400388516173,0.8606764978170932,0.955466797203312,0.9710799292849781,0.9309429011270413,0.968329998676432,1.0933034236931838,1.464753636160531,1.8275155153930025,2.0137005366142233,1.315117351351762,1.2562054775359615,1.6079305127692143,1.3860070278137457,1.700862931996255,1.56173244426316,1.3232274998595352,1.7899202578652424,1.3332686725428147,1.1907060921308328,1.1248009411250623,1.174882316629365,1.4905579064832137,1.0804499560199976,1.0559462159043638,0.9311434016519369,1.021875017470597,0.9678813527938802,0.9441977442935587,0.9981784511243096,0.8637576658402254,0.9740689713846649,1.0405305829435363,1.1653750159316554,1.3517974629926646,1.089788201421709,1.0577509599287855,0.917303474359906,1.0119271298806196,0.8916464111846104,0.9074665736913347,0.9664310569871023,0.9758967517494861,0.923665234319815,1.2527346157780432,1.1206968200135319,1.29606093582726,0.9301271111635283,0.9013990477547394,0.8983891220765751,0.9893636411397535,0.8808091545560159,0.8917248223727586,0.8597278935445125,0.9624509595324245,0.8979616779548173,0.8509494088272626,0.8597567058408685,0.9200773561157419,1.0254931151984652,0.8794868902133456,0.8730308195686389,0.9157022270919685,0.894610311735685,0.9516193283567033,0.8751758672164035,0.978041555702925,1.1095524338090967,0.9541429737121715,1.027913913354124,1.0483641169469808,0.9419432315721283,0.9493957348979978,0.8798194835047561,0.8715326070388535,0.9444162458387599,0.8718326887387009,0.8802451799624312,0.8639299868075974,0.8390595683889033,0.8573255973613361,0.9232241866780945,0.8883639190167798,0.91392084581448,0.8398450778021935,0.822190496130408,0.8726760074274694,0.9432898681100391,0.9134650343313709,1.114366782386927,0.9180422956766355,0.8653377713920094,0.9201993753894615,0.9913200421918426,1.1211380110325742,1.125921477860597,1.070985723528599,0.9688758343929902,0.8420755204675641,0.8274447056590115,0.7626662304933506,0.7108396252435156,0.8299489817934361,0.9311739544053875,1.1839639259086854,0.96721292750106,0.9012217633326133,0.8854376012327365,0.8549500131037031,0.8446608790302247,0.8442350518556104,0.8524698173992097,0.9383526004444646,0.9477776358103753,0.9450255677205409,1.0488009427236622,1.3692268190084032,1.0833706595099046,0.8974631003670659,0.8764045832407384,0.9287558634872218,0.8426613826335516,0.8748985238517641,0.858385477273077,0.8401518225844709,0.8491638957383674,0.922201395278749,1.0715071774219276,1.152251449056223,1.0096114174782231,1.1875212442346803,1.096075722976267,0.8954603571541855,0.9094849270635995,0.8572119896802207,0.8854037339343568,0.8875975270714179,0.8776747589517406,0.8885512899031827,0.8794936441473298,0.9104033377282562,0.929953727946351,0.9423368505470323,1.1265304877214368,0.9222423724803492,1.033237821134989,1.143356679809146,1.1064043602549358,1.088311315795269,1.079078116673146,1.467672928714532,1.6111648528847067,1.3009787163388327,1.5019583954080638,1.1851267095832065,1.3083567948316739,1.3235209189861228,1.4482755318310052,1.756380935398019,1.3081840335274468,1.3519800544029643,1.1834389439948982,1.09391196699025,1.122431421006058,0.9798432102280394,0.9033029491271329,0.9548027224472421,1.0015937077615122,0.9857452383402899,1.1471547401710978,1.108695560555902,1.0733223087809862,1.3178379682644439,1.4283451927638735,1.3895866823312197,1.4386018767870858,1.7159729912621255,1.7922599785277895,1.7172684111934498,1.5464466105641865,1.5305760400497006,1.2493710896989576,1.2334255967177887,1.2764878522473588,1.5620605804311352,1.4048919798986905,1.3168216281617073,1.349721906028341,1.390642242972768,1.3793920327184774,1.6452370131067298,1.5599243842500838,1.4328078946172953,1.5562042307284738,1.862604758059362,1.6598532898658012,1.6252620876534407,2.359140402840513,2.2351107118576166,1.731228098667361,2.1409044488086173,1.3165323022980095,1.4539440497278717,1.480513305011358,1.2811109043380757,1.306444953469382,1.2213885788296623,1.314832803852949,1.2325598260818336,1.1824560946787754,1.0917629658073635,1.0607578257796997,0.9774887049755249,0.9869974312036653,1.025328156604736,1.0636386297895686,1.0648199783774899,1.0942587808797675,1.3303020739832225,1.2204856051219612,1.1589919452909687,1.1371976806544903,1.043586253493487,1.0325397615207141,1.1116116666872282,1.0886275560989158,1.0526878042028853,1.1122169709137348,1.1666765153521996,1.131562780952374,1.0984046249242765,1.3752004079925864,1.4089629287561838,1.1508948492128284,1.298083819989021,1.4583215640588423,1.4286318456343141,1.242947962980783,1.3169803654861856,1.9322529178424113,1.99463109555442,1.7401778935926369,1.8803623060276111,1.5001753495097656,1.6921760352381032,2.2061878344194303,1.7870485379178518,1.6188853686376015,1.208385225226292,0.9842071910344449,0.9762204491033067,0.9162747255438727,0.9057463943175019,1.1389548787301171,0.8772681026786981,0.9351117603568676,0.9347203446147914,0.9191609806895235,1.2630676440225495,1.084085692306637,1.0694592564323988,1.0879861121691456,1.599613248584859,1.3250771168011226,1.7745354066559322,2.212305262334935,3.3423145682869064],[1.1531528763427874,0.9974313270741045,1.2616083498931019,0.609619118881381,0.9232541488448662,0.8874712969537241,0.8734144741849204,0.8317708370781168,0.8580515041615228,0.772973198069528,0.7634707387986608,0.7901100879144417,0.7756140888844926,0.7104200487826898,0.7176569194043907,0.7418256868119985,0.7701015835566455,0.7221940833613065,0.8192137055204434,0.7220431967499593,0.8200839086450625,0.9063481603302623,1.0925956205764846,1.133343345470955,1.0384036205360445,0.824945911422316,0.7397178885148069,0.6848990431259305,0.7276869695793168,0.692570392756401,0.6980787295381594,0.7005364069760407,0.7513945926949224,0.7178147711658519,0.7110632632854664,0.6982715558647465,0.7301297541300434,0.7186765276735438,0.7094632578303676,0.8171210474159045,0.8531538788024765,0.7935877091311383,0.8484563255171476,0.9893459253423533,1.379541178994914,1.725766485253654,1.9519808587388952,1.2327942586980063,1.164342690282755,1.5510874015892735,1.3690293486473815,1.7147257860212792,1.5012148383950936,1.282739462896617,1.7456841296959598,1.2341515080957033,1.0775313470529357,1.0284392410403382,1.065077263739585,1.407663524557272,0.9400451893254368,0.8972977280853676,0.784371885532355,0.9287062889535711,0.8415480759427739,0.8006669337372364,0.8840908292848308,0.7283241502927781,0.8493327566322388,0.9531382459488472,1.0884266974314785,1.2941904564116884,1.0086651889377058,0.9597353349840358,0.8097762344661619,0.9345888609762565,0.7505861824917912,0.752194833614395,0.8092199314074172,0.8210327008832703,0.7837546668848184,1.1005504161737576,0.9417537866101156,1.1820809563434318,0.8244443627660047,0.7604168282884864,0.7426467921064612,0.8439715565067696,0.727662709087008,0.7455318759235446,0.7223668916565507,0.8637166576775402,0.7852324639003785,0.7066958049623964,0.7252770931816265,0.8056328877233376,0.9136911930498117,0.7277234046182495,0.7260580226552641,0.7779084194719134,0.7516326830869448,0.7995622684691004,0.718964512808968,0.8231100839262409,0.9456007435783289,0.8135291273293842,0.9229210359866576,0.9844742429957833,0.8682467017862552,0.8272293277767955,0.7288146535711814,0.7270986729805305,0.7773526139821644,0.7177676632033009,0.7345862260384186,0.7261162493461157,0.6938649303469433,0.7244783474608663,0.8102657989761911,0.7425770860242418,0.8038516412017033,0.7405691933630442,0.7395075006188859,0.7467787698406587,0.7972198564303171,0.7693616462608351,0.9501842108623951,0.7692684271734865,0.738126641568545,0.8397771317730754,0.9727256081060272,1.0716418550686446,1.0809821266074466,0.9982244390571209,0.9172024690230249,0.7358398766492813,0.7746153397979382,0.6512292325357397,0.582721146354975,0.6692107881267978,0.7699473714086135,1.0015724205906145,0.8015915474019246,0.7353563929004633,0.7851143382482427,0.7032621052155753,0.6935392488482918,0.7007659468837898,0.7082712201413847,0.7926422832115583,0.8062679447255093,0.7805354100056269,0.8808009575364774,1.2518410820428163,1.0106263031102956,0.753492434103764,0.7283835518046377,0.7723038224884274,0.7007572447616947,0.740981971057143,0.7192862340348303,0.6955383719869626,0.7051755343656315,0.7697748254642384,0.9393020286137361,1.0188980514970267,0.9299289304508124,1.1220725186610012,1.0944963866982198,0.8147554613725002,0.8328713707263307,0.7266736545847137,0.7618375368982526,0.7568247373375384,0.7399323799997757,0.7413037153983328,0.7396835058356269,0.7657847459150359,0.804053008953889,0.8056549173696649,1.0056055195134865,0.8018307965516768,0.9464431706422277,1.0580830729658675,1.0114819456361677,0.9826235370981627,0.9748361329626339,1.4114963560105085,1.6467931113368524,1.2961062182081688,1.5357403033265071,1.1099375083944818,1.2611533916083806,1.2791205101719074,1.4023372697048853,1.7411068063144801,1.3488558992854172,1.3407279617828745,1.1797172024094005,1.1108284651981823,1.060769793829449,0.8813928636535904,0.7992472092301728,0.8361248160227801,0.866849109397393,0.8113781365469014,0.9273607715941045,0.9153411732178217,0.8985703125668347,1.1405270368658922,1.2487501906116625,1.2308149207339651,1.302570465787247,1.5864659602180369,1.6693517717351551,1.5476976257804478,1.4051687581129202,1.313928614651249,1.059306109296604,1.0703541378028736,1.1434670302495495,1.439633064076651,1.2898934736252525,1.2403506104124988,1.2546364920213497,1.283911545986314,1.2831844309012566,1.5425292670920558,1.4661341252584899,1.3447273739541798,1.4712166442072667,1.7819143204308363,1.6036810150806438,1.5811921906535704,2.300411093158503,2.209010860892668,1.7441858831657548,2.222763914026367,1.2876637309521897,1.4189674612613248,1.4123504685504833,1.1814780824154139,1.202101590196804,1.092543233860808,1.2227716047420651,1.128336323544056,1.0499549762930511,0.9552403692025855,0.9401580348227196,0.8299884547193039,0.8354100154543209,0.888453864283517,0.9020221653219318,0.8985398073085595,0.9483420243697848,1.2099915444119071,1.0673557971354743,1.0087659347064388,0.9716988598909527,0.8935434437550105,0.8866733531310879,0.9780671621218897,0.9416032626119477,0.8936032041307707,1.001975303340538,1.0507829843342076,0.9968027378449507,0.9994680700573666,1.3112449525444627,1.3467948378091088,1.044393956434774,1.277324718809628,1.4380169629467607,1.3884764023126834,1.1711912180238013,1.0862170434407725,1.815149290758827,1.7085711163307207,1.4866174548323787,1.5899136855856724,1.2360785605514952,1.4709803742816416,1.9346537990126549,1.4125869657732002,1.17831652768983,0.8220647156098091,0.8540326151586194,0.7557853522122098,0.8785742877590376,0.7409272637900443,0.9406223644511754,0.7333687446342988,0.7663357948048585,0.7831797483302483,0.7406355883506376,1.079585918138631,0.8779298058847674,0.9403828017002505,0.9195334333787099,1.428268832477817,1.1410400219371226,1.6351595678936521,1.9845515448682103,3.2372479742051326],[1.1095440512984687,0.9725268914986623,1.2474765599156619,0.599244198611616,0.9297306076922298,0.8695131254956082,0.8749811934053648,0.8367451518793094,0.8635166530542632,0.7913444007702995,0.7850325001837285,0.7914127628618479,0.797403036888621,0.7417018580309105,0.7534062951406627,0.7567440676335092,0.7804088722844635,0.7463520364830726,0.8501822322612207,0.7513298873860371,0.8711244339673908,0.9788734987463691,1.094554988085783,1.1588970933736922,1.0202506074447146,0.8687435311972015,0.7524080983166794,0.7182428727016085,0.7410661186391853,0.6925792567399048,0.7254210317372467,0.6986845744174106,0.7539563933761078,0.7106281703412319,0.7035841197304553,0.7155264818948578,0.7089192717523606,0.7324327025410341,0.7043108968087324,0.812521293237205,0.9060486707591723,0.8325735285746126,0.8922278169906512,1.0569612861228044,1.4843090765293832,1.7771920519237054,2.02870109037231,1.3121089558098196,1.245006747572994,1.4887457843284777,1.3698186273433954,1.6795572759988182,1.4617633663940217,1.2528831952496313,1.6878753982116124,1.196531248955418,1.03081163797739,1.0142820339398928,1.0092653720328135,1.4252867942438519,0.9590973862975577,0.9321935057969223,0.844874188887144,0.988141827428435,0.9094761279989754,0.8588740278417237,0.9536722676337755,0.7766849905974259,0.909214947350033,1.0034140207738402,1.1623069859987785,1.3869639996954886,1.0652576665060158,1.0256146290487522,0.8503603048017516,0.9730831280550474,0.8129026292055513,0.8006948398596022,0.8601077189169045,0.894577387768327,0.7522697875606777,1.0037243238314664,0.8737136150203514,1.1155453629840144,0.7892060524781833,0.7273733451171671,0.7310381011058026,0.8225963430706194,0.7478975653487766,0.7462069024648519,0.7546285365005588,0.9216290223120595,0.8520033016830628,0.7357140233315644,0.7504107921344589,0.839973442843442,0.9667072062686103,0.7541458373878487,0.7522371955599654,0.7944762888707494,0.7470718782453291,0.7907045776790799,0.734386720340172,0.7975234160347926,0.8921221206785387,0.7999711831587599,0.9081920570291088,0.9525077641177699,0.8512924371881887,0.8415926519169161,0.739262804081334,0.7506752862252618,0.7888128424522767,0.7377351154128304,0.7536881114784406,0.7587812369728998,0.7322680223789219,0.7754559422962141,0.862251159300847,0.8039817774822187,0.8649859674314041,0.7856635877617373,0.7898882770476396,0.768386618647048,0.8028509116826714,0.8021858176113572,0.9692650592855981,0.7985441232508066,0.7458169381198616,0.8193936425505594,0.9435397967929433,1.0371970534654025,1.0200727093429185,0.9524780799709116,0.869199424672099,0.7301025605400415,0.7997380596305921,0.6403955500481621,0.5720642004437952,0.68187046746971,0.8032446952074631,1.0206455368954697,0.8449672187145926,0.7631499581859881,0.7738214888994399,0.7116501260796655,0.6973507347370006,0.7072415073282022,0.7233196633460719,0.8165638551118052,0.8118225574049361,0.784237782161386,0.8837647225495303,1.2496660644035362,1.0424018659454677,0.7620115047041005,0.7374209423069898,0.781979494256881,0.6900439421635036,0.7220666110440761,0.699549540032587,0.6863402233993972,0.6988678474881473,0.7600755791179641,1.0146513648215325,0.989415392376154,0.8799965216968848,1.052924339503829,1.0301301222661603,0.7609596677873233,0.7987198909124671,0.7169478176982108,0.7290571607058391,0.7287400022296902,0.7102141273541738,0.7142147217631488,0.713734881155489,0.7471736325661189,0.7852027785274035,0.7882491143578039,1.025756177256753,0.7776953483301271,0.9060746271884839,1.0105374527131672,0.9606834275650482,0.9586550187392299,0.9637061963288654,1.525892067910191,1.6742277022834984,1.3540074517892904,1.5141771174289271,1.0700694928316257,1.2168491556332552,1.2479834685926554,1.361997079442622,1.6748619039022166,1.2950743897944703,1.3173023146848157,1.1657445732123408,1.1047094676680853,1.0856504729307253,0.9049540758732967,0.8164395072814287,0.8715958618590766,0.9065584742961673,0.8409442605226172,0.946414627481984,0.9517216659204091,0.9233716687863971,1.1352584173669245,1.23657534514085,1.2252023091150799,1.2911865783570375,1.5609568854101445,1.6470566099795108,1.5205478272634854,1.3983455907959141,1.3236307236585487,1.0907295140664148,1.1070974108033562,1.2115156545287693,1.5179376887977976,1.3642314497816248,1.2811545288258261,1.3076174551484059,1.3426945349640835,1.3301491548859201,1.6022857064490343,1.529930469688841,1.390000108449714,1.5078645269738997,1.828351616154732,1.6366299698812168,1.5904576042416407,2.32724677948844,2.2108642169331625,1.723899248884309,2.140956217114828,1.2819664945588325,1.4287186438186927,1.426044807694597,1.2132977660207267,1.2370780110645216,1.1434572210276208,1.2577316271206593,1.1563827458381943,1.0884919158349895,0.9937330087792045,0.9733712157735704,0.8622996433112154,0.8639616502835165,0.905501324260646,0.9161021674370671,0.9266538413925564,0.9638245021997468,1.2011602287649539,1.0796442284482088,1.0346741904815184,1.0046786181143246,0.9465053801237009,0.9359335796909404,1.0427799264532258,1.006905645970548,0.945083427529793,1.0551623472146332,1.1171293241071008,1.0599786031410618,1.0518311978606867,1.362161608355445,1.400311346466249,1.0981789710304712,1.3076553221384268,1.4852587959252366,1.4374760799781887,1.220056278498657,1.126952029144087,1.8431855343253774,1.6609701419677196,1.4840950202790961,1.5435315084280055,1.2227011137683703,1.4322348837427674,1.8488362966565064,1.361745557412976,1.1663955680981974,0.8817523454878442,0.9069601725746977,0.7941627906767805,0.8864227756886361,0.7635149493137263,0.953648894502119,0.7408164378114713,0.7753715251926574,0.7911841405931975,0.7447042672493922,1.0652008904264583,0.8609800648143733,0.9544273464946866,0.9055675595754352,1.3942137895139273,1.1082346038090127,1.6418988063867255,1.9536657843188838,3.2449780583353993],[1.053357513446621,0.8798370633610717,1.162293522068039,0.49950788543678737,0.7753015157279729,0.7145961720234091,0.6829307413283331,0.6536761496215843,0.6828226819659163,0.6225571121006578,0.6328438586140109,0.6560433879426758,0.6380241343329417,0.6218422945585123,0.6599687130335044,0.6527032276920778,0.6911254164716026,0.6880685817398936,0.8420049208001777,0.7407554892786118,0.8821275608690072,0.9659519649943173,1.1388741069533086,1.2161164615087752,1.0561991418958872,0.8989037437437607,0.7576633565942928,0.6542044369696405,0.6738628213631975,0.6014622890173783,0.6569004947709527,0.6041673724056313,0.6538382281065901,0.6538526986463066,0.660943772653598,0.679273998044861,0.6706484537385459,0.6912179551421035,0.7059947806470042,0.827171422519454,0.8995444537133276,0.8233534079038531,0.9212710151146366,1.0609174603379568,1.4663645227677709,1.718608074505431,2.017998635150131,1.3417879322922013,1.2818329873942842,1.5564162816290883,1.4450133999486763,1.7552872347629043,1.551113060779259,1.3216434654218931,1.7505176222901702,1.2768653420581628,1.1139743953182089,1.0445360713163196,1.0728272162717836,1.5092880227196535,1.0195882510105263,0.9590477192549693,0.8327891424567296,0.9807573964839621,0.9138062019524467,0.8336038743250773,0.9657616799124201,0.7578663874342769,0.914577180682102,0.9503089893412306,1.1401968938144376,1.3789495172811048,1.051373231270789,1.0244136445190208,0.8113871612754666,0.9614417272603357,0.7894809396554844,0.7676175311925727,0.825816186919756,0.8843312962432731,0.7632775827263832,1.0612224779493762,0.897555860660983,1.1879162965473045,0.8169253901456089,0.7291484564442603,0.7319404091098357,0.8071331533590977,0.7164144870732388,0.7028135711091134,0.7338493431270389,0.9118243791508344,0.8064716907410286,0.6590573781438964,0.6585997247558989,0.7548766998486465,0.8558592770380344,0.648698228311284,0.6258834934929797,0.6675077841834512,0.6229724693684271,0.6848681388020753,0.6398912995209916,0.730105344176382,0.9027931134421172,0.767172928102147,0.9243566158280426,0.9852910700624695,0.8671161851461349,0.7741943948695978,0.6544299027142578,0.6159522343426997,0.6163952705339609,0.5741517411259888,0.6203296023810876,0.6320120716672142,0.6191636122757634,0.6900691809809163,0.8289947644148365,0.7139554660533414,0.7947435221211102,0.7005536188682503,0.7054526432962843,0.6323762274376993,0.637611203546384,0.6187762250477855,0.7863362051977306,0.6548739659569157,0.6786078975665388,0.8146042925452855,0.9666097605741514,1.0898087447380531,1.0816225380344657,1.0031034370907694,0.8978761670560714,0.690265475463396,0.7295818598202802,0.598357176900901,0.5156855882643284,0.5878194865681746,0.7103428976275149,0.9838852234500176,0.7879806179060456,0.7011825908320629,0.7850885275955594,0.629379868359995,0.6049856545206229,0.5931786973600324,0.5845903912905074,0.6497517041074559,0.6642138332285806,0.6279664522961137,0.7572650801149374,1.1859497724640824,0.9524541754286576,0.6163285620277519,0.5957400633904575,0.6436235307527991,0.5935098059859848,0.6552927152071943,0.6406808068718165,0.6173937083431468,0.6325890278010784,0.7047579865774959,0.9419812255164777,0.9324203188248683,0.9058280030959893,1.0931150627336284,1.058383448092428,0.7633664077892487,0.7984613222481517,0.6685324247148404,0.7091274026005978,0.6986481182582016,0.6697714877426938,0.6742988822646246,0.660002508414271,0.6937415892299431,0.744693240390537,0.7587418514815709,0.9648580195040675,0.765911794073773,0.935416886980324,1.0640946107147944,1.0046000890179059,0.9856759247019904,0.9856352203211404,1.522622797797408,1.6588496686184029,1.3647940744749754,1.5453683799739115,1.1209512126289065,1.265826486081134,1.2951358151951446,1.4227183824831078,1.7589445738333376,1.3480741368797597,1.3829815061439175,1.2520862600864924,1.157437032709647,1.1617320864546257,0.9629420962589648,0.8616436226591996,0.9563065244803706,1.005099412919888,0.8889227219533354,0.9685291506472451,1.0341723546935384,1.0144790066056824,1.1547720239853339,1.2870181867653214,1.3181895208457657,1.346760519908849,1.6044300270522165,1.7389777790588823,1.5858524699652354,1.552931119503731,1.442101755364273,1.2285480182411799,1.273736427888205,1.3442392557561798,1.7754328456298798,1.4824829584688934,1.51099372521555,1.5021003348968538,1.5164451018309482,1.4491296080595035,1.740462589266896,1.7130927379637384,1.5194663952842646,1.6327465854443683,1.9947188861260665,1.7970056110695487,1.7108458587229607,2.4007307365503325,2.3229523061534634,1.868556156303282,2.1801941988855655,1.40524003665407,1.4828245524206645,1.518263170370003,1.313220987974235,1.3045349456991393,1.2093657405386473,1.2716005912661599,1.2006099865512503,1.1716847429878832,1.0393628714260381,0.9963050847037821,0.9328402145531502,0.9376940770664172,0.9508543321825976,0.9729278366092954,1.0220845969428292,1.0603321372853443,1.2753840068198787,1.180924369711603,1.1686682612706634,1.1359901093984694,1.0744446544374096,1.0506468567840102,1.1869384359737014,1.1707559532890353,1.0780219449971526,1.1984155393347593,1.2893372470619124,1.2182543820111589,1.1983930748911156,1.548044695343831,1.5931698529501968,1.2726225345465032,1.483061664994397,1.7357598534996643,1.6704090793323074,1.4325949230668655,1.2449667685646053,1.8910906815931965,1.5999299075149507,1.5762833129985012,1.542216788266079,1.243457982973424,1.3896594093238739,1.7297886423445932,1.2713281739621614,1.1266317364208496,0.8945193198830957,1.0135380467868587,0.7843308569755206,0.9400268454148901,0.6882425844330423,0.8846419430034179,0.7397457475585272,0.7935165845528221,0.7369920638195275,0.6736586553086983,1.0278946615298536,0.8283548898985323,0.8613215455911217,0.8067272757320166,1.3074402063923387,1.127085299814768,1.5751681994352853,2.0170059030027363,3.3963614989284525],[1.2956350429591152,1.200638776785254,1.4287643079376646,1.1444843174469255,1.1739991586196832,1.1812241130668502,1.1789299249635656,1.1797164544154537,1.2648425048250713,1.3414541895514664,1.4001440067851787,1.3682886113495405,1.3698550155711189,1.4705932676701474,1.5012307307092636,1.4713479909121534,1.5535711157466046,1.5865139937248465,1.7062926099589906,1.6697050693502387,1.7932867412287017,1.8216561412038998,1.959451814375562,2.0345386828689827,1.8778755410203705,1.7997297195202722,1.6498699135307087,1.5494046307947766,1.5075423068048384,1.4536933839581276,1.5544714979940857,1.4117544177354084,1.4218946527496046,1.5213190623345538,1.491658928039939,1.5616985195839743,1.4429330109605476,1.5177046438044146,1.5128589309005014,1.5770738712691994,1.6327083638836446,1.6756441942312559,1.7409434372845876,1.8556515331614873,2.236420911753043,2.4467502132373493,2.742751248738642,2.1165997522412456,1.9505534026334348,2.1261002134586637,2.100566304353343,2.2727670575951637,2.1384815838167874,1.9572016984271188,2.2777104710183678,1.9229409210244122,1.8018693650932642,1.7778221931628293,1.770311032110123,2.0461940367977856,1.8450696628705385,1.8148378220928874,1.7424168298467468,1.875122714702597,1.8466862178513543,1.7575930649038285,1.8040554571815972,1.6755257333104934,1.8175465621915963,1.7600464676640963,1.9171490721724045,2.1140520874405446,1.865187798085949,1.9269321246198636,1.7268200946026764,1.993755662190185,1.7441188712036735,1.6894823111844242,1.6727878545785124,1.6878629921608037,1.568938447632128,1.67008536857448,1.605760230727845,1.7611980393296185,1.5425432758030309,1.4771270113260004,1.5455189494183112,1.4980996536360351,1.5989285522438514,1.5772842295008263,1.658531290493835,1.7979459677469805,1.6963689700325635,1.5601186086793997,1.502422814544411,1.5526519412016548,1.481166183580936,1.3798023582551364,1.3409018494092548,1.3086344840580522,1.3281836223018393,1.299172883653471,1.3189643336664005,1.2906942543208786,1.3081275374415802,1.2585930734261215,1.3874135525432343,1.4216369973487597,1.3615070720289608,1.2543138113518544,1.2052579994676256,1.203580800558666,1.2192629648102438,1.27289148564002,1.365029144864772,1.4274303363938623,1.5381098870335281,1.6396118833278126,1.769938438117645,1.6251716808310885,1.6773177461522564,1.589456004578644,1.581930769406614,1.4242050344969468,1.3064183819875947,1.2443957081332153,1.229980187673645,1.1925658123909753,1.2115004334452188,1.3207996486418496,1.4015033439444002,1.4666245963478355,1.4651566013997228,1.4409910158951176,1.378419271051332,1.2986456331801948,1.2677911935366617,1.3391315935573378,1.4453491450257296,1.433934053847094,1.6049095854426285,1.6763409138487584,1.5721962829761535,1.4953489110372344,1.5639984134022045,1.444907992464016,1.409002708369351,1.3535049247613977,1.2871062286115402,1.2670238654940194,1.2077889047506554,1.1871469248503943,1.242501811170445,1.5609069115612741,1.483322657261723,1.2761998408217063,1.2761112412349014,1.2549119051063982,1.3418698325041145,1.2906283414952495,1.2963460338471586,1.3734294230093897,1.3827570718078226,1.4427529156618677,1.5354531130742288,1.5351628569102649,1.43487069115897,1.5136308879185951,1.445655955414461,1.3713509243348696,1.346417204463086,1.3643311949270676,1.3495977005987778,1.3430121952827503,1.3462843258712927,1.3061211510680486,1.37465082837226,1.3657280327401173,1.4256191297299807,1.3714358255053167,1.4718498085742062,1.2990858565532346,1.3817445062788158,1.4347546431385014,1.4621584851924627,1.5157976586161659,1.590468068054941,1.963932281703962,2.043907697217308,1.8272558894523854,1.8637547442971347,1.561428308976673,1.5919724359803458,1.5929924298448228,1.7107425665871894,1.9821210190296317,1.660947259852903,1.700854736546355,1.5920652279650114,1.5439933935109575,1.5626942084128286,1.4217286756960998,1.3344328309068616,1.4059310972109311,1.455666485713433,1.3352595308549828,1.3741744737357497,1.4722153904851039,1.433615220661237,1.4593372438564804,1.593101614144958,1.6479404414224799,1.5950656126078158,1.7737503395472758,1.960195481553545,1.8561672129624187,1.8855921123630575,1.9251407796927964,1.7258717083826176,1.7873763752493286,1.9588559467339897,2.3209775456956785,2.115072251394434,1.916639591009667,1.8992108365977929,1.917715578643538,1.8317650157937868,2.1086703546912986,2.106492651717442,1.86989607743804,1.9834800294618185,2.317958708238129,2.1052406943272866,1.9874962574398183,2.531697831935084,2.442171990138481,2.14020267174568,2.269396524648156,1.7344384779348623,1.8207625264899903,1.8378702334821782,1.7047090467130448,1.6980571421948052,1.6425030821934126,1.672470271646261,1.6030045217868587,1.599066518135217,1.4890307221628447,1.4566470652663717,1.416062824235929,1.41056207850229,1.357453986945458,1.3786279202645677,1.4535060671106215,1.443523817299222,1.5432709584730533,1.5447302118326087,1.574061320493889,1.566767820064998,1.5685532507549413,1.5323040156744665,1.6995132724672117,1.6924566682121194,1.5622250148520973,1.6744954614008747,1.778340201946602,1.7180037090114493,1.6556955395146902,1.9596427400371268,2.1178873406305025,1.7608465245528784,1.8318609599695554,2.1625606938290844,2.206311794847335,1.9173282140992012,1.7323577290396444,2.3817840282215594,2.0330895457046054,2.064046415847152,1.8506816947159004,1.6099862805911629,1.6173939902551997,1.8746342555888722,1.601884954213993,1.5792677979393805,1.3708136269416475,1.456127219917987,1.2502658761408296,1.369893989289223,1.2149117011446555,1.3017842059944777,1.2738796436137676,1.2834522672920496,1.2773514923586988,1.207970226097052,1.326733720155151,1.2296094990363808,1.3631896756376805,1.1814033497014684,1.5105500647879975,1.3938154889182353,1.710952366968943,2.2831576982355135,3.653553665503134],[1.1826032086988971,1.0115165266723667,1.2027274150695384,0.7322268135903304,0.9590211954360182,0.8818701805855614,0.8872362088309893,0.872227019334804,0.872105239811895,0.830060344643851,0.8385003763580563,0.8420514716357582,0.876910295954815,0.8327262341968488,0.8710417254193125,0.8650772453433495,0.9086587309395733,0.9297452559077022,1.0903384194748291,0.9966689972537999,1.1538067033535637,1.2734050543821556,1.33677047833404,1.4129435638404335,1.2505433187267965,1.1360945507508668,0.9931372371656948,0.937504328149949,0.9270740231806316,0.8606938087619803,0.8851737312432669,0.8471813415837101,0.8902376679672824,0.8736210055032249,0.8864791409474012,0.9021230937641546,0.8917541181863166,0.9667719025131447,0.9435487350153674,1.0611894154742363,1.187501508753643,1.0977699550037863,1.16057981121427,1.3086758147007023,1.7347777995947635,1.951312862482793,2.2028411382465825,1.5508391651647624,1.5446004122871346,1.6065783607645165,1.4783609007155425,1.6742025552434028,1.5453877518637604,1.3379087947003117,1.6847563288808187,1.351534754638763,1.258422681077335,1.1879051574606787,1.1892294031536332,1.6667900758557654,1.2304895173306356,1.2129518794307452,1.1141734364051603,1.316308277977892,1.2355840103204558,1.1231944681382233,1.2550752195142936,1.0236621447912326,1.1065816504255408,1.163768129926088,1.290393951311322,1.5108531065676298,1.22852670549872,1.2153774306992,1.0607200287131864,1.2088564874128798,1.0579520990138196,1.0370817235171712,1.0928792914582024,1.1335891660593143,0.9300087969084966,1.1272729547577587,1.030221079842182,1.184760225557736,0.9874256705461535,0.9342546596897363,0.9491424761385587,1.0052209163621428,0.9626286219805242,0.9336946260124487,0.9454776860191932,1.1059520928374933,1.007685864031166,0.8811102147087736,0.8867242992893354,0.9725635535756538,1.0486461942319527,0.85768813410986,0.8268258516904651,0.8509580294320047,0.8582492423036953,0.9253026924892916,0.8773649341783009,0.973130815024245,1.0569422911599442,1.000218693048473,1.0708432334590547,1.106069854563344,1.0184050293997613,1.0009799582439494,0.8813775353405641,0.8794292614331085,0.8699049983751964,0.8733066795234707,0.8655613181203806,0.8894493593227268,0.892030277826868,0.9569203675355832,1.0850417491566087,0.983165628279379,1.0229022016551166,0.9120497425186311,0.9049623974397225,0.8459520899901225,0.8419662848627969,0.8974234151252866,1.0035589602536341,0.9358753640447468,0.9203149574358921,0.9769796242768434,1.081887735031323,1.1925557144361625,1.1597175121945251,1.0954169518910657,1.0103338806821058,0.8957151814718024,0.933246477924349,0.7912200518763663,0.7300225545213256,0.8949700418740236,1.0481959464653399,1.2893078437602523,1.1170365227921053,0.9920453594602371,0.9744863104211233,0.9282815739450438,0.8839679575114632,0.8432786999684034,0.8545877699049789,0.8928574068657454,0.9005647945499354,0.8471870362296458,0.9655568944231393,1.3255647432221613,1.1095210840581877,0.8263440528706508,0.8144393750271841,0.8958306817113987,0.8116511447348714,0.8737639244370258,0.8847969104764881,0.8976686844990384,0.9321704474779939,1.019271756391901,1.3306151609327137,1.2504433816967968,1.0931223480684897,1.2333660033010287,1.1767647656793025,0.977994120975038,1.0022385860945697,0.9334849410446234,0.963092855563464,0.9616375048050017,0.9337484957296376,0.921510105914423,0.9011571639292153,0.9477369150312536,1.005185232460084,1.0279727870702335,1.3051778584134748,0.9845928901053701,1.098727998719433,1.1729753444204098,1.1262405267509492,1.1892297113180978,1.1905868113351408,1.8192669094660883,1.8783535570731744,1.580999119147109,1.649154826708386,1.2650101037857053,1.3626377806694474,1.3861099269617327,1.4931464657656408,1.7916311196252674,1.3827615633463122,1.4452933117980216,1.3329331473040402,1.2489368511072452,1.2931126942534534,1.1315981921850995,1.038980681182707,1.1383709330792278,1.1911563685369384,1.0928759031034807,1.1387146371511097,1.2046115416897707,1.1986873748194604,1.287007728479621,1.395517138000248,1.4361577974742252,1.4596150925641889,1.6861161795510047,1.781614171935447,1.630851438483177,1.6357578463089772,1.5376287069238435,1.383152029318084,1.4395154700160935,1.5703315689912933,2.0567492365547366,1.7688334911004204,1.7026800421118777,1.669643852994417,1.6661762063781431,1.5813339860669031,1.8558780843204024,1.8467020334244764,1.644888276621454,1.7190556621623274,2.080256133585619,1.88173603069119,1.7705640199002306,2.3766245956681216,2.3603267770669367,1.9406519895567613,2.1160667204208186,1.5063371607335565,1.5404518226466952,1.5933218927794617,1.4341627858689276,1.4399558352150559,1.3409127704418737,1.391881033718668,1.3476915514695254,1.332899486827647,1.2068489619887892,1.1653966459592096,1.1339513496590097,1.1490179060987307,1.1562538708358736,1.1748360713645682,1.212279690268468,1.2487734245436046,1.4300213148814618,1.3432492283511177,1.34210930417555,1.319621906013126,1.285576916249332,1.2463384212910962,1.3802387399383036,1.3907126682066562,1.2689458989364328,1.3875797043735398,1.4943585712813634,1.4201160975530303,1.3795876536159497,1.7285221712090926,1.7942315917082603,1.456755230939564,1.5955305951267194,1.917939650034212,1.8557141964721058,1.5813506777891797,1.380712455211848,2.000450190413677,1.569487786639966,1.636645956235421,1.518007665702054,1.3194779067941074,1.422540973593747,1.6327340174230467,1.319811342425538,1.2172853908982957,1.062318102492841,1.1615322390284744,0.9906104763729777,1.0840759094438477,0.9154125559983257,1.0785222388424383,0.9541962586637913,1.0012516049377478,0.9452617426739411,0.8787347405136973,1.19098402031671,1.0242011189011486,1.0323169188117398,0.9860237148693936,1.368752586198269,1.2497693480533212,1.6744070862495464,2.2001910877309045,3.6556006280577815],[1.2796442331389821,1.1256427236133555,1.3729597669906322,0.9850863019404017,1.2474775363380883,1.2895832804929048,1.4054932330431682,1.3898597686840248,1.4185152326119257,1.4380577146399613,1.4392107465010489,1.4038621877808093,1.4998870607814643,1.4791370430319093,1.533363917734791,1.5143689223567904,1.5184199035897559,1.5704498161304745,1.701967130707341,1.5766038004512575,1.699568596561576,1.7553269756963283,1.7759862761437055,1.8311449926100312,1.68068981147596,1.6657739571761432,1.531999222316508,1.5338288744726387,1.5274894304207478,1.4495710967380413,1.5269745567611226,1.4474114261945414,1.5138809703586127,1.4793192574628031,1.4545638400875762,1.4656872536418797,1.424780779948477,1.4847190520325244,1.4358565623299313,1.4088264458575306,1.563659777356974,1.57288709935866,1.5513525831143944,1.627369408619674,1.9443710868029573,2.080739235006844,2.2616579007906417,1.7011014845610535,1.7821364133231636,1.708373943981311,1.5501860081683683,1.7435794708504466,1.5926692473785586,1.4562509009658842,1.683472962854023,1.4886787672139992,1.5186037474919742,1.480817014855551,1.4500149896804202,1.9844517004207656,1.6412167463792173,1.671473942529217,1.6239289735388083,1.848344391824012,1.734878797075394,1.6412895101678293,1.8438474284152822,1.6529255396664297,1.730957841530132,1.8075823125088992,1.9031354777708784,2.0802935005366825,1.8402980296075542,1.80447646445027,1.693966587265219,1.718457057236212,1.6193946964035415,1.59837838377282,1.6006190762544057,1.5800827688095758,1.368812751360836,1.4321421306189066,1.3147923946680606,1.326278769572413,1.312026106552286,1.3469753410694851,1.41825606486601,1.4815474915900304,1.4886665865834388,1.4883455572885822,1.5310516718112401,1.6288936932900968,1.6247204327938192,1.5483881009070863,1.552723252362734,1.6462082852572129,1.7137639664330526,1.4971321036088747,1.4480522279588957,1.4002364983110442,1.4032314661724499,1.362808654012782,1.3334671444954476,1.3524219816012868,1.3585572449535697,1.2462262644032704,1.1795945233031842,1.1704135068135342,1.0780642449254498,1.2230111355981657,1.1454003913799882,1.2719121533366113,1.3844418295772187,1.3867738096927156,1.4856859265330657,1.5171221170694522,1.5032897988392038,1.572499773058941,1.6982831439548296,1.626245635870472,1.6436068611733037,1.5447858658930977,1.5370775135394825,1.4847386084556615,1.4536730503788013,1.4392607424804746,1.4360836031124284,1.292443416154968,1.1558743685530732,1.1645655219575768,1.1614855704843658,1.2056501711422616,1.202924467984243,1.1782730110699002,1.16877428907973,1.2134185918475302,1.1957866902552876,1.1829297371453271,1.2343626922338797,1.4061239996023225,1.6063687242694502,1.8023759127287504,1.6962824617716687,1.5630038029354554,1.4464176999833869,1.492021248252691,1.4599090748812587,1.401691209689729,1.3664158235763768,1.436255452246454,1.3635426667677282,1.3972056668101265,1.4452898198556274,1.7778398455703601,1.5905310196440765,1.345397499517477,1.3773905430457958,1.3613164619250697,1.3115842772230288,1.2648502083270599,1.2853031406521598,1.3864715383695112,1.4049556170940283,1.4133688660806754,1.6554168659920425,1.5717696102150829,1.314151928335607,1.3940383961486773,1.3445868195747006,1.2447204166426085,1.2375256348372214,1.2740606735389175,1.269626775528688,1.2877309677515338,1.2994203958200194,1.2860490193226015,1.3131944873174306,1.3151420788129604,1.3316621466052627,1.299271856138332,1.6062136377748757,1.2383423180066295,1.2312309154718517,1.2763264341361917,1.270029011509146,1.3820139846619892,1.4475853452924765,1.9674352629805067,2.068786257500933,1.7039852418476846,1.7174707528183928,1.3799611093328923,1.4008160289342426,1.4161580095721884,1.4470154995411146,1.6454761627010321,1.369710892501719,1.4005076480150331,1.273522488367545,1.214169731182389,1.1776520522141352,1.0610200074517735,1.013079741383332,1.0200298638643088,1.0446141741644033,1.0358083581844282,1.0784640874673015,1.0793385484900222,1.1070387352655655,1.29678041833922,1.3440977928137956,1.3764613317397694,1.489352039890467,1.6751193045610033,1.7683100141903765,1.5761046050057208,1.5532235571291235,1.3456169837848744,1.1933734456972889,1.2331941836794507,1.3941521687521765,1.71625427729545,1.5336983153704493,1.4076926347706304,1.3629045413331105,1.3831008510992977,1.3364548880279232,1.6173764542540907,1.5872179310953074,1.396240188349162,1.5247628792134205,1.888120186889282,1.6952325159697736,1.6193735995485885,2.2216531785001825,2.227558359740874,1.8131334791595912,2.0731681914422055,1.4207680611463518,1.4699344752244832,1.4537053328993326,1.2530316631912137,1.3312038973629159,1.1960926311643199,1.2850341438774342,1.2483388609168162,1.1936783132632007,1.1111538760996278,1.0860669751326362,1.0443443650172124,1.0937083560601661,1.1572847418512884,1.155304428136719,1.1419673140584037,1.2277400802814136,1.4729278781186401,1.2890643847295362,1.2330491067802263,1.1672385428574352,1.0734865725741944,1.0534394740304747,1.1563090431252878,1.138139545342654,1.0718633050694413,1.1524800581137338,1.2270660011519654,1.1663258485448984,1.1654714637755412,1.484337088174224,1.5787706671112949,1.225344059613861,1.4499768634957209,1.7181127580449973,1.6359393437411422,1.3835580139228518,1.1582288442297977,1.8241752144841756,1.3976694326204664,1.4249912309642283,1.3908593523983148,1.211655962066025,1.4771348833948246,1.6788232741409888,1.2119177532841225,1.040169205456651,0.9336521559074612,0.9783346553565032,1.0105246398382624,1.077883314667377,1.110456161858766,1.206078161740283,1.0318126880429004,1.048646320228891,1.173942943616226,1.103139784921344,1.325748576711664,1.179664169062115,1.2379162176930676,1.1858110676211042,1.6891162644592121,1.51107477772928,1.990592805580838,2.0883116241704416,3.4020998197764416],[1.0041896859712718,0.8305069828065866,1.0643032766378249,0.6125555123227368,0.7708066008194695,0.817874190659835,0.8157375054713811,0.7887797032474247,0.8542041485820573,0.8155173032111299,0.8368290282774963,0.8335837861408492,0.8339460961399082,0.8488611792525248,0.8834568376260931,0.8365267461355564,0.8704632381653098,0.8734917239750197,1.0088383796299285,0.880932770494768,1.0232736198650645,1.109433383214673,1.1649891047913123,1.2477025086828737,1.0768416816821718,0.9929745909592962,0.827610971904585,0.8064460470054022,0.8166127504157166,0.7493527914786041,0.8500796523815803,0.7637060544053272,0.8304953061078639,0.7974615387262559,0.7694320409537032,0.7832070790881196,0.7547303682937773,0.7825236391136121,0.7369849732248036,0.7925635148716674,0.9306174958461014,0.8897769085691974,0.9280176081275863,1.0542501027029658,1.4580713545532138,1.679621128454304,2.0189385774046236,1.2943549515981725,1.2737718153538091,1.5206944422863897,1.36233104061029,1.6807772349562466,1.379923360969805,1.1917121192080964,1.565790635301285,1.1449394521073901,1.0424965121510754,0.9803408786981346,0.9459227754037364,1.460870006599977,1.0521784506038283,1.040522471354107,0.9687228711523127,1.162888671282071,1.0782491388882276,0.9773305001942568,1.1842610012497437,0.9592810716081195,1.0897536201650275,1.2151069885309103,1.329436607691437,1.5553765558667525,1.28192557722866,1.2383575254179877,1.054789483322388,1.2219157178413251,0.9375207070719581,0.9073374528473882,0.909660750652598,0.9027922636331951,0.7241374190685984,0.9282981627613397,0.793841866898099,0.9985315369554106,0.7638292876388223,0.7073928808247945,0.7453033094210788,0.8381358164182575,0.7965655831116686,0.8053168594496284,0.85789741483665,1.0381979671049626,0.9904135105660832,0.889973986989113,0.8933966347263138,1.0232769741187495,1.0886084024626335,0.8529601641999947,0.8229595834013421,0.8528054030247655,0.7716145054391704,0.7978225297301301,0.7002640821861219,0.7961785223975615,0.9306546237082272,0.8072887909476653,0.899758576291946,1.0032464060047428,0.9078632678882468,0.8196665085545789,0.7134710924852498,0.688126188667425,0.7444440007652064,0.7192412586325581,0.8077754576963834,0.8119470706167147,0.8052049368700029,0.8861467523856154,1.0609367621852677,0.9380663404239608,1.0113637767933141,0.8999147277599211,0.8874381155240578,0.8374640069568046,0.8244282146558408,0.7747567463270573,0.8569833770615445,0.7154941365792788,0.7334961903563898,0.818183373059258,1.005818479693265,1.0910597401563886,1.0496827762248502,0.9335836730635602,0.8713930416951463,0.7343496385177823,0.8104158045313752,0.6711216887870157,0.6155581773014596,0.7143215858640192,0.8763038845687481,1.0961783019121516,0.9457244901390565,0.8188677637938345,0.7926886332655675,0.7692635758268291,0.75260334433726,0.727714185660782,0.7113572465088687,0.8027034996778809,0.7889977785735671,0.815215972082253,0.9302070860242561,1.42288504855175,1.1890632233132425,0.7804871700307535,0.7701107971831535,0.7595644385348721,0.685567261026744,0.7114337840764582,0.691437083747639,0.7017576423465546,0.7268436296508605,0.7585504753415349,0.9901735431488264,1.0073663324271116,0.8920244415432079,1.0683856884479646,1.0850925300726086,0.8153514245448985,0.8113599903281732,0.7088684918103485,0.7124984012744968,0.6990737484196975,0.6783193757858942,0.690950030817601,0.6960043107620104,0.7053571046227366,0.7054223452410001,0.7243445537135722,1.0049133090645048,0.751682490961122,0.8777010970449511,0.9891333888787254,0.9281559561185777,0.9398776421218147,0.960256287286867,1.4933244445005185,1.7339538294359442,1.3923104590832025,1.5837566171343718,1.0750925608219424,1.221716603953639,1.2572822651559894,1.3722083877639897,1.7406949915259569,1.3906524614683824,1.4118013632876438,1.3366457831035687,1.2516267709294702,1.2054446851354563,0.9835235256893036,0.9072824544068584,0.9835586272166723,0.9993350399324608,0.8562684981139598,0.8683324450865272,0.9553847713571904,0.9545241297505991,1.0609487394454977,1.1455570119078775,1.2129417285645845,1.2952609334798757,1.5011417200988764,1.6137327692675711,1.4009114214949372,1.448156447018826,1.2684296270941944,1.1354376692448713,1.2008766504546309,1.4046439132210828,1.751069714283204,1.573393585085089,1.5287378583424203,1.4902203122315942,1.4828610232470825,1.414490308701816,1.6987483249694004,1.6929831962686728,1.5110723161141644,1.6325772767933704,2.0158905833757124,1.854420071734419,1.7722287414550386,2.374986537879327,2.424230468392789,2.0194966012958484,2.3040371071301706,1.5257961105214464,1.4974236036686976,1.5146143895537967,1.2830817486044244,1.2795947826645075,1.1306837427978818,1.2069579147396783,1.156736854582523,1.1001736152461625,0.9737059823895157,0.9383834349160736,0.9219569374269672,0.9388630077347587,0.9712292170831294,0.9667793473502568,0.9948228537784376,1.0775102619252517,1.3079205920125623,1.1464112309502426,1.1299669259295437,1.0671500454765321,1.0269261898622393,1.0134040216134068,1.1729998267217292,1.1484950072236562,1.0362316255424642,1.2048768767213582,1.3101926294590234,1.2086689055759596,1.242346036580938,1.6235014675822603,1.7090530135653152,1.3384228044730835,1.621211090718325,1.8908467457940044,1.8282225370584742,1.583808227832276,1.2501795138416532,1.9434757205677222,1.3565213764725383,1.3302354221803667,1.179904881799312,1.014338204702181,1.150693877923333,1.2849257776098693,0.9278675031570381,0.9527412950711067,0.9979342115312595,1.1150811133615053,0.8236014362176401,1.034876585801395,0.722521302001692,0.8861390152035667,0.7598029063052691,0.781412206522371,0.8691100322343337,0.7418269064642066,1.009100822004788,0.8506605828252572,0.888118820698239,0.8343910600116196,1.3263747031495983,1.2901569663232804,1.7038572713992213,2.00181283956066,3.4795788842666893],[0.8630260249494152,0.7154194078841927,1.026232275863953,0.5364774732364692,0.6191963902472268,0.6421541253424717,0.5826926186828233,0.5691014090702807,0.6784994748828962,0.6635512272048782,0.7000522796019503,0.6929184306392058,0.6760697917654148,0.7260887219987402,0.7808808835112345,0.7052468423467904,0.7697012418497015,0.8017345650644215,0.9448942701324182,0.8546821742209302,1.0203058734822277,1.102963276152076,1.1729001617218369,1.2651132366994895,1.093793374166472,0.9960519965438217,0.7990801049991666,0.7308151347717229,0.728392790678323,0.6475159124368653,0.7761085553555894,0.6573342435301981,0.7362996751474084,0.726321718983323,0.6881350272207184,0.7254090736317794,0.6617033057505562,0.7266131844367253,0.6935962063691683,0.7786265020924229,0.9165854153400437,0.8606815608033522,0.9306966894852196,1.05755455045311,1.4480368704057813,1.6741717234206581,2.0517915610867603,1.323684741404195,1.2945966113040468,1.5937841597446687,1.4274085247326425,1.7252192584966657,1.4058183684792516,1.23454030822438,1.5767807530683924,1.168430883709153,1.0834856766634948,0.9941816035895349,0.9767070633865583,1.5041532512278224,1.104774810167704,1.0701454368295753,1.0012181769999327,1.1877379063436337,1.1006424895863254,0.9919706231491423,1.194618174395844,0.9328170939857023,1.0705659868054367,1.1846593835028212,1.320817944883941,1.5729414039734055,1.2796876902121812,1.2268252970282125,1.0384543722792023,1.2695425513332683,0.9311094111717336,0.8844557318704214,0.874639307148217,0.8884728469509849,0.7077226599602564,0.9257157241081557,0.7505817684080213,0.9914671397847569,0.7768315936345627,0.6579118106194166,0.7180648952580466,0.7566092929062385,0.7575700894187996,0.7671256325157348,0.8278765032862903,1.0241743280830122,0.939638270137986,0.8052115754588698,0.7949076186668788,0.9381174358662455,0.9846653480004465,0.7552454953699851,0.6932308065445514,0.703367954931977,0.6491611338163694,0.6718369417473397,0.5943308444146074,0.6687530684664852,0.8743761794420492,0.7170410225712444,0.8923231627699822,1.0260679496035752,0.9486869966364577,0.7889262151438481,0.6601630306707313,0.5736757656060807,0.5513962866763293,0.5969467036598217,0.6573954326580523,0.6880068291739448,0.7304169907613752,0.808028040136943,0.9993206106137262,0.8616507342509977,0.937038443952798,0.8166299816923652,0.788396184367279,0.6862936771503884,0.6415942984266066,0.6065956038629693,0.6493623049722849,0.6097093793212124,0.6730688764663816,0.8008874449121501,1.0418003912587293,1.10815553037192,1.0744215895742206,0.9493149054380171,0.8911062781493404,0.7237841731941222,0.8378558620948825,0.7019638385129535,0.6144105478089091,0.6542836690056046,0.7964677476958418,1.0386230740666256,0.8674622544257512,0.7313701449341437,0.7481174191343407,0.682927969071743,0.648491511693425,0.6190491316394159,0.5702278720896305,0.621655501269136,0.6376603667612408,0.6284267984068655,0.7703827967002436,1.3723383396493325,1.1542609518211235,0.6423421459988692,0.6234688748796601,0.5941553096467753,0.579648238430269,0.6188923457358858,0.6145720134451711,0.6182137131099387,0.6584433864281428,0.7073370116659147,0.923229512296415,0.9735106405074989,0.8904392726381122,1.079299860900495,1.116974901320039,0.8443392319814322,0.8268163170915748,0.6886167263555963,0.6963886156332538,0.6599533344552111,0.6183053161952836,0.6292862296261654,0.6257107253770616,0.6365580991243102,0.6542454649185505,0.6683105684338378,0.9294265976896564,0.7082860366656697,0.861766971031685,0.9851458445397413,0.9221146845032129,0.9212631302829326,0.9565022237899076,1.4601887015181034,1.7470154980641484,1.4056902460166427,1.6021345684588912,1.0741446556882361,1.2446730133548154,1.2786228822221213,1.390892483520963,1.7600957806501565,1.4398595506887832,1.442655250732318,1.3927202956145588,1.3349462769621552,1.2562661994686952,1.0157583640258774,0.9627790913673528,1.0379785256518572,1.029803727691018,0.840283568879946,0.8489042361222937,0.9563923713261149,0.9148236532345205,0.935668518509619,1.027508101934217,1.1151925812657948,1.1608483779444085,1.348874774725926,1.4727149907932804,1.280130424788132,1.3754460236132255,1.2584171356367302,1.1481412174346852,1.2136501072871106,1.4762598331674177,1.793861510443169,1.6470509745305473,1.5750333525232065,1.5380836116636583,1.5241628808464596,1.4481288793380551,1.7213067313525128,1.7367541910558109,1.5584930105502277,1.657669000993218,2.030298348860071,1.89910031945161,1.8172844585713273,2.38513481517466,2.459558510097525,2.0847310740175296,2.3858796346094717,1.5894110751049428,1.5443791850696065,1.5315620173262965,1.297421771172649,1.2599146597998196,1.1232994437874342,1.1974333883914108,1.1464404156341923,1.0729717642712284,0.9589023087731836,0.947685377659554,0.914888132966502,0.8968322743111197,0.9093935265550345,0.8930668529368461,0.9557668459697501,1.012607078333883,1.216866154407448,1.0757873219961094,1.1031039176960054,1.0552349199090583,1.0465490971094906,1.0346995619097852,1.2048939576208093,1.1880140004479776,1.0589046349656428,1.2553317050266632,1.3712347286604987,1.2696292493560764,1.3101276779537863,1.6942045843339253,1.790996203434945,1.426530263924052,1.7161358526634691,1.9641299412851738,1.902638229208374,1.6910417890988245,1.3530103361176642,2.006613035272501,1.425316186965869,1.3433760717672354,1.0869673903271002,0.9570778937930515,0.9630104654914566,1.0263353404578357,0.8813124941631488,1.0580055757078877,1.1772673100423536,1.244074088636221,0.8770464520865949,1.118592100072017,0.7009143843305617,0.769191893901718,0.7608261212082567,0.7464722142644055,0.8735521336516269,0.7126789856996464,0.8486553008464521,0.7362845215409606,0.8849070521655119,0.7089669939575871,1.1590024302974622,1.2595350037101587,1.6174686114123824,2.0122775795995973,3.581125808573976],[0.8318939725597495,0.7588511643499106,1.1155398345746839,0.6819995886758629,0.7505358271919401,0.7131246662791151,0.6465813228452221,0.6505705622623542,0.7209036270110712,0.7194705609035875,0.7420501737837691,0.7573110862304401,0.740661916612394,0.7733121677610344,0.830207614820411,0.7787439363736727,0.8357532920959412,0.8476635265839241,0.940265928464524,0.8969817795145318,1.0413208699306824,1.1197234755329297,1.1814657862298619,1.2694672396630535,1.1571362282448676,1.0334545105114024,0.8764033464486328,0.8105777898009733,0.7977944472815569,0.7701752231887038,0.8466425938909081,0.7786360488599807,0.8149861309880021,0.8097249343056344,0.7911734682232932,0.8172160143415496,0.77584613979193,0.8270133056250434,0.8142053356268161,0.9172087546643909,1.0257439588680775,0.9225165111985748,1.0013661743955171,1.1271969685653833,1.479260194975898,1.7452581652501682,2.1212513065012732,1.395772620686128,1.3460430597911515,1.716532987836143,1.525123862067311,1.819647449221707,1.481914160952124,1.3441886768737563,1.6353871894862722,1.2472779939608174,1.1819378108019596,1.084712699258744,1.0742477340637633,1.565675103442017,1.175883243708901,1.1190634135929773,1.040570723422473,1.1900675503764104,1.1309353578998047,1.0353838300320093,1.1947683040964157,0.9485548688584571,1.0746419465550865,1.1811760462430345,1.3053101150167314,1.5465437401548208,1.2671272536765257,1.2284252295583402,1.0550722643388495,1.3146566569349056,0.9531804837476705,0.920604546909815,0.9083264895254968,0.9571050899853248,0.8203796481371113,1.0393027401359525,0.9331725896616345,1.1390997877976128,0.971352962434627,0.8154270893944938,0.8113493412480878,0.8344612634732937,0.8310520299307498,0.8295940408087997,0.8988717830129839,1.0810766661737252,0.9819819483082174,0.8586850299078311,0.8485048411586538,0.9797722293262744,0.9970297316859519,0.8185615495958721,0.7847054297389645,0.8222843713856925,0.7686392025939112,0.8172147893994529,0.7779436648422228,0.7879166606757748,1.0180223522787213,0.879007420093463,1.0780621452175634,1.2178354993078466,1.1738774502341183,1.0221185596422044,0.881600329014578,0.7797711107684424,0.6828900968648726,0.7447050284569265,0.7419933419743034,0.7941536573619404,0.8318363305039276,0.8669568025459506,1.0025424329252672,0.8852598663829866,0.9467048189269939,0.8717092498876623,0.8469483197774339,0.7517371524781254,0.7129374574796764,0.7402402540428151,0.7424742547201927,0.8144733896761104,0.9144326198063218,1.0232703210614786,1.2779530464202251,1.3186395381030827,1.2893762991796196,1.156620099108509,1.1208377915469097,0.9853149284773677,1.1004452914739833,0.9695858107834917,0.8454340111351916,0.8325545107453394,0.8668022907376177,1.0655496491821257,0.9067176081755012,0.8274700188287224,0.8596621037081932,0.8033628596018958,0.7847932474408078,0.75810086875632,0.7243008880045446,0.7073866310219877,0.7588988905076195,0.6914728855947583,0.821067804343375,1.4130963837952493,1.2616940246325825,0.7576477766558563,0.7356388732242612,0.7277257439581244,0.741673837248869,0.8083225492883971,0.8141384458410913,0.7957861255244522,0.8366994075372493,0.8749790113949104,1.0302510229176511,1.1118064810859007,1.0910698967762544,1.264244112650263,1.3281393348739174,1.0945281360341106,1.070083028231716,0.9278276417703101,0.9307572428655028,0.8774997127766134,0.8206139326729514,0.8244404434930515,0.8034250291354674,0.8041481316315331,0.8449357926485226,0.8668913938745921,1.065843769161858,0.9177759653220288,1.0740219805778943,1.1845942222740118,1.1210634070097505,1.1046164515949772,1.109000125060838,1.5194035140044617,1.866435518015722,1.514358760997831,1.7382475311370142,1.2395903471579623,1.4218737393899776,1.467630259112893,1.5674639716607999,1.9265717858540536,1.6621740933239582,1.6218912664250298,1.5870197046599042,1.560462628252222,1.415316431399116,1.183919078316253,1.1764637248672607,1.219158672579561,1.1551062328765267,0.96336852576473,0.9759858483715327,1.0352677113837483,0.9532133819089916,0.92769149035843,0.9852092995492377,1.0518193154508062,1.1061713243523363,1.271465543404915,1.3548900803122457,1.1904344959573563,1.3017432925134869,1.251142905286988,1.1717571332591912,1.20025532193589,1.4669189376858178,1.7163972454649006,1.6364595230152887,1.6606962510714467,1.601377894565619,1.5821471491012746,1.5290805559109997,1.7610973034763178,1.7704997864833596,1.6409524947203151,1.7421061739953545,2.0790843675089206,1.9883208279050337,1.9367803314705394,2.456744324959089,2.570299465694649,2.239610280199754,2.59291437743425,1.757844050546709,1.6934185002847446,1.6482857993028168,1.396284683294061,1.3460692086061166,1.219271278780469,1.3051531851896374,1.246283096276614,1.1450812565201904,1.0518436627945145,1.0690698431279182,1.0149781179994095,0.9496004347875128,0.9593270263720225,0.9263367603382628,0.966578438906501,1.0058116119141567,1.1886116764701598,1.0408690412337922,1.0735244729470872,1.0469134901625092,1.072432893928406,1.1030053932703197,1.2537648259058936,1.2208760950065642,1.1227768254702861,1.3480924291839966,1.4395766132783119,1.3424467546092032,1.4322803093082874,1.7821530326971435,1.8842676530547473,1.561094889708629,1.8652847835831676,2.0507252875594038,1.9993991154891906,1.843707723298898,1.5288885645956958,2.124143531107021,1.5947818921071721,1.3636061504890558,1.0900889253879662,1.0088075525005775,0.9135214016932217,0.9299697150119771,1.0422989724055047,1.3386189624130904,1.5402212285367616,1.5099494264105995,1.1384282339207255,1.3624878321953136,0.9565313351505715,0.8944120105617644,0.9539937454721167,0.8956104053760419,1.0930460808525395,0.9004559577129274,0.8887870280851162,0.8355742201127563,1.0475162308853148,0.7764753662503614,1.120798235536366,1.2810274644437736,1.5557129890052948,1.8952057773644004,3.447852927055035],[0.9820474426156075,0.876697711113734,1.1570799592016183,0.7800942218929152,0.8264797956336316,0.7698864779427599,0.6789667239190051,0.6834121303185163,0.7682383751810566,0.7614648702693664,0.8023484393681483,0.8158671481963534,0.7686882862236274,0.819287337121066,0.8651805454875189,0.8113463821284431,0.8611699557748066,0.888944884462736,0.9892635479288429,0.9367012922284592,1.1033212345472587,1.156337281887626,1.2299402394406416,1.3354385431798157,1.2101961295957495,1.089460462853693,0.9079742269894022,0.8334263778123164,0.8234380703726271,0.7909432313043265,0.8964567774209,0.8057153093929027,0.8504585769983137,0.849934957184426,0.8192887029806605,0.8415608649436371,0.7794257231164099,0.8286583826650806,0.8075379987895509,0.8995465317870892,1.001663361101699,0.9388608003552943,1.0176780408954809,1.139211284682878,1.491897370374246,1.7480887298048062,2.1008729916663356,1.398022688977907,1.3610104954867392,1.6906931843794164,1.5119488301924906,1.8124500743015344,1.4970451643341551,1.3330751606927689,1.6569282840302189,1.2566638549706848,1.1907382527944441,1.083573408548941,1.0720761566770212,1.541862004756358,1.1749024801149113,1.1419319386467708,1.0749883373929665,1.2464419796775739,1.1717246633373533,1.0631102065281408,1.2570433261045513,1.0133785190449114,1.151317990041975,1.2446193903422922,1.3650030500534722,1.6281403127731087,1.352257716328539,1.305622309294001,1.1370279164605248,1.3897024299473986,0.9943457111370062,0.9602995150179022,0.9226828133998984,0.9464401115595743,0.8137606479683401,1.05095306769568,0.9178932017343967,1.1169573694956993,0.9258936225808493,0.7900879976573201,0.8143360123815574,0.8188981939907612,0.8532051270313571,0.8562630938225299,0.9622413957375899,1.1647954463757475,1.0443101851389305,0.9042026186145947,0.899636008439516,1.038913802748999,1.043923454149096,0.871872762015147,0.8227174320409347,0.829805703204479,0.7839627426188074,0.812197443761397,0.7588491196567445,0.781833123561283,1.022784639501019,0.895001980656689,1.093057017239328,1.2302229990917064,1.1985322078303573,1.0115257282931311,0.9176736266379324,0.7640287059013862,0.669381001974198,0.7189196921627443,0.7521008120571577,0.7989318377722208,0.8572096195525534,0.8949657782394724,1.0544881504575798,0.9433889367908762,0.995231683891183,0.9144008623255337,0.8841790790359833,0.7682170317527753,0.7332787889117144,0.7110440920734051,0.7403452053658409,0.7957897848376038,0.892110205055398,1.0073520896632293,1.2553846202325796,1.3125776817073849,1.2616756769072899,1.136350301459744,1.0777012721387993,0.929532761823959,1.0393287087313836,0.8874694979494777,0.7630704939793279,0.7780473325182381,0.8664285576811095,1.0605534550052576,0.9069446057786145,0.8102534973122206,0.8530590585117874,0.7870902321491376,0.7733141208241117,0.7565197422927823,0.7049758289167203,0.6999134610727341,0.7551595771605746,0.7157419098853457,0.8462325554855232,1.45708549023709,1.2767365320647868,0.7674360034673694,0.7372849415072096,0.7147900850775681,0.7417162584498801,0.7795620853343145,0.7750178262196707,0.757773492898512,0.7843452076984989,0.8153561412061578,0.9327408973503858,1.0422557369099974,1.0184164959216502,1.2015187124408517,1.2612549100282686,1.013500860877156,0.9888932223109407,0.8383173488029998,0.8538574764528789,0.8024347511555237,0.7640677782670627,0.7859299632776129,0.7650134957583162,0.7683400323732745,0.7869017900678192,0.8027840628622301,0.9730476236919761,0.867816184164571,1.0051610722070632,1.125170456811394,1.070014218631667,1.029039433087338,1.0664411669336042,1.456325917333796,1.8139915287579824,1.458598670685304,1.6822479246450377,1.1750925540566544,1.3795099805943203,1.4235832583004817,1.5391057158925021,1.908567303650875,1.6275133203954681,1.629089167347378,1.6183483666102243,1.575605332455461,1.497862860191817,1.264865940159576,1.2321048407213133,1.3261331737987814,1.303616165911444,1.1018964806167042,1.1177330910375707,1.234714487310544,1.1665226543426443,1.1140390729679863,1.2051443449673083,1.2987826316651354,1.3073736743719298,1.452881150003587,1.5669321751907301,1.3925510399846879,1.568847877689698,1.5135751755988716,1.4282347831381732,1.4831918959695314,1.7565351144109909,2.031867997590801,1.9144877127685824,1.857265150358141,1.8031101011715291,1.7635979871873788,1.6761856958492445,1.9133645319582195,1.9640306635420373,1.7864552923834023,1.8607655840653092,2.2255096514751003,2.1332726598414533,2.0328179046731885,2.4999675031269617,2.6514866774034918,2.3344787521014023,2.582652650270321,1.83799057507986,1.7261566682047207,1.7058053892779903,1.500435523059337,1.4154892333216322,1.3424541494632063,1.3620054360034048,1.323772574832005,1.2774105885080822,1.1752023529157085,1.170861015502783,1.1654660468650468,1.1371757857455835,1.1387623044503214,1.1207756217864098,1.1921478206100233,1.2325313842083063,1.395040200687345,1.2806111847100867,1.3339706574458203,1.3008371997362858,1.3174644466558565,1.2995977512814145,1.4565813024881058,1.466898927166205,1.3365242812644182,1.5268025234944287,1.6587999448141846,1.5647695744575634,1.5921525997784678,1.960386406382898,2.0867284972434543,1.742752696539842,2.013497152660946,2.242928369486964,2.1968502622679402,2.022657226203654,1.7014188142054338,2.2640175528992708,1.750734015606248,1.6130802355016454,1.2914055397122262,1.21073678050169,1.077258383276117,1.0612252388416272,1.2007946597909314,1.4494014520522633,1.5791152980210312,1.5737063464737442,1.1877900129685053,1.393478919232569,0.9730982598910741,0.9794931155867773,1.011347490232295,1.0007298246822731,1.1159355860833995,0.9563372107212152,1.0080130666208633,0.9600082327920932,1.0744240440765414,0.9050608798295896,1.2027740087713006,1.4786183759746,1.7203482323369241,2.243719847667722,3.8291555921437874],[0.9657984076234611,0.7813289427394591,1.0609472321829234,0.5962903831910745,0.7034002109090676,0.6184997233564525,0.5076007101910684,0.5067354008048868,0.5523059216125223,0.5117033691541626,0.5325483706774392,0.5459991933201809,0.5378048614700132,0.556206034876749,0.5975250348513776,0.5647052814320552,0.6403085290815369,0.632480960183869,0.7490012328583148,0.7184915861807062,0.8816645319501508,0.990084999087362,1.0852512166444659,1.1863367136907983,1.0545517268093902,0.876961145024317,0.7125006345977584,0.6120262918496248,0.611694597213743,0.5558466005025129,0.613209997182469,0.5529536754845515,0.5995813141467782,0.6095392677046051,0.6043653859547172,0.6324215241032305,0.6274764301825893,0.6731972198763877,0.6779285593760324,0.7935406429055532,0.8884479056926892,0.7867173153067983,0.8922315185380464,1.0326002102807534,1.4043889402314502,1.6563151938270966,2.0102759885021593,1.2943758956482883,1.2552199067804286,1.6282367648248308,1.4712732137722189,1.8244598574296156,1.5021680603122207,1.3103049598861416,1.7007811029830524,1.2225074181947562,1.0864037068235772,1.0156252661404006,1.0035185782417289,1.4229937074646783,1.0052571001803738,0.9411485898625682,0.8637705754032314,1.024230473574633,0.9510185721097458,0.8498930229418372,1.013517970655495,0.7420673452128983,0.8914663844666932,1.0011324330361948,1.1554819329400137,1.4200885160090337,1.1126454828805914,1.071526979877387,0.8496927688644503,1.1005067912414894,0.7676306885576524,0.7334609531233053,0.7567142455263055,0.813031331755024,0.735282445777616,1.0285175490608736,0.8535490265168636,1.1334461404731209,0.8617350463868629,0.7215945122620333,0.7078728292836497,0.7392642038814374,0.661498492064793,0.6662649278581814,0.6958651105045757,0.8961821959271545,0.773972047620147,0.6319514300730235,0.6139716622450783,0.7599420108137614,0.7888401173745656,0.595349145141853,0.5628636199023105,0.6374789951942617,0.5859170463188709,0.6914823078581532,0.6268715259564068,0.7467415963243302,0.9859794639647723,0.8690601937548551,1.0912520713987157,1.2282157485444523,1.1473185682149125,0.9341559829101286,0.8241099028944465,0.6709978413295553,0.5313739948016973,0.5700351148068049,0.5458629195717585,0.5766285920637535,0.6123939131286507,0.6713447672339867,0.8383976359175636,0.6813815040204346,0.7626593611165221,0.6540880395523667,0.648760500084628,0.5495957252958531,0.5263420514434473,0.5485691211833016,0.6448097251957401,0.6999649076596712,0.8127132961058772,0.9766322994918358,1.2311910692706207,1.3155197339524236,1.288382226603304,1.1654581011988976,1.0813473589313491,0.8493835053131515,0.9716781491273568,0.7908494660809378,0.6285008791008012,0.6155185016987592,0.6911990453609733,0.9114024696101083,0.7249111357545582,0.6354727074528048,0.7718729423618873,0.602207782353048,0.5834286116934386,0.5815146575097718,0.5791542550869707,0.5684130780670666,0.6556062198331455,0.5602960177945017,0.7589380849998371,1.3422388015760667,1.0975603114537595,0.5984287766618779,0.5570547322774169,0.604550100413034,0.5849818691689254,0.6997908619064828,0.6903480246952883,0.6180223682350338,0.6546823848438681,0.7086580400955945,0.8817582778863962,1.0097685903800842,1.0345918322996288,1.2109705309506391,1.2615121315661253,0.9675904259898149,0.9681801611153187,0.7727914481029073,0.8071880146152774,0.7544089785959165,0.7093939428679137,0.717623956970695,0.6640055531365803,0.7103006080178984,0.743989810179136,0.7852497791670994,0.9404452857379607,0.8489372217269534,1.0333333171338497,1.1737075175937053,1.0984843618501796,1.017460520019751,0.995894952895752,1.430974095914874,1.7381913435187024,1.464052128749315,1.7384639128688943,1.2149316170137112,1.4176526538061054,1.4378034931577088,1.566161975125362,1.937380152404922,1.6267668520745244,1.6322822696754942,1.5941306283750651,1.5054985514007686,1.4601265292319696,1.2070491039253877,1.1340892869128347,1.2302951702343194,1.222311771366254,0.9928262986489381,0.9941637170388279,1.1328433996593832,1.0714359411427339,1.0230579056916416,1.1271616743540136,1.2316734757170675,1.2318113588691042,1.4000059431816816,1.5442403049899842,1.3459148598860267,1.49015505376182,1.3957749467760747,1.309778537425022,1.3836413528680358,1.6587786510681062,1.9523697015157893,1.8023497743582542,1.7409751355630412,1.7513003218161696,1.7479363978093145,1.6690284672074163,1.950035907370128,1.964849217835833,1.7835422399576972,1.8776734177860601,2.2414447033508136,2.1154409439271458,2.035485497048474,2.5583286356815664,2.6556783295920807,2.2933434120526135,2.562303760457786,1.8124356361794587,1.7303211031261914,1.729928836382564,1.5060057617204465,1.450717264916088,1.3368841932028555,1.3702029687114814,1.3358082415109533,1.2474077598761866,1.1258877492382449,1.1079516963883542,1.0893039037234495,1.0455638643007277,1.0227359040403166,1.0162046132304872,1.1056112658703985,1.130748193752293,1.3038358200823412,1.1876134231763156,1.2440144603440668,1.2200146348209615,1.233058414036596,1.2322044228322397,1.416211848156427,1.3876877081321277,1.2457411819016522,1.4693027607123994,1.5858339932639987,1.4665765120593632,1.5152288438154373,1.9161488485431692,1.9929469744145862,1.621816229962571,1.9297431775437452,2.1945086064863064,2.091906465433797,1.8748924333130728,1.5185106093204706,2.109166061987684,1.5215210882386667,1.4474672414775058,1.171077750528562,1.092013804255141,1.0095061688487053,1.0364692039183219,1.006086693190902,1.2175196520613523,1.3477059152180304,1.4280082949103907,1.0380321143954934,1.2971370587839623,0.8507254278083793,0.8714246288872913,0.9046130262838358,0.8886011642009137,0.9199455995807508,0.8053554711530247,0.9127466202554466,0.830274655271198,0.9034134126936713,0.7929672120825731,1.2273289589454073,1.3955906549539931,1.7306786388607147,2.3192691404270915,3.91167285376198],[0.9296591010305226,0.7809331601711654,1.0785380406153773,0.5666089824065188,0.645602035582864,0.5787882270625705,0.43935596961677287,0.4293470391551699,0.4837025765113509,0.4018585059639061,0.4178402686725508,0.47353642552362,0.42730322847082886,0.43021209070984345,0.4804634199400105,0.4549869559991149,0.5081471311452043,0.49776502378500914,0.6313086392506803,0.611449745931902,0.7758949966729705,0.8864834680988425,0.993728659578501,1.1048121739380103,0.9825123260742246,0.7923609845478977,0.637958462597477,0.49247672198811215,0.47667652913853764,0.44482270880764074,0.5012112371819065,0.4487807579749717,0.5004488517780443,0.5034461488557291,0.49139727295320335,0.5179320655943122,0.5046520672459125,0.5383644538007476,0.548360452154435,0.6953730171633097,0.7916327188766542,0.6911983846673705,0.8076108511217188,0.9767565919420227,1.3764115049354955,1.6834342343278343,1.995224645212704,1.2497729837843021,1.1918729838748416,1.611526789769081,1.3767710726160396,1.7068834627171467,1.4128080682695532,1.2423763109270645,1.6488503264879237,1.1101037539701275,0.9939741373898074,0.9414416784262416,0.9259990700005589,1.322757578150534,0.8904717651264098,0.8260738649363805,0.7173459705141739,0.9195503422821146,0.8467018973718576,0.724077722530088,0.8982780017782168,0.6271841700332448,0.7835041252809924,0.8943471211854974,1.0579819898364378,1.3279328871145335,1.016819501076199,0.980304725516278,0.7374990357617957,0.9834446514451797,0.6322605093328487,0.6019403081935325,0.6258856647998524,0.6911311502467998,0.6061043250693229,0.9573294870939753,0.7640092738024326,1.0575711137505377,0.7770620979563865,0.613067558891501,0.5751522172214608,0.631039507715732,0.5437199959596464,0.5395318944407597,0.590287801977031,0.8307459532800494,0.6916766204724121,0.510732794873721,0.5000395024941535,0.650227824116225,0.679994936263261,0.5133616701938547,0.4799492632485461,0.5744993428321935,0.4978454276557293,0.6138971223388748,0.5243463341490398,0.6400423358324954,0.9123590378763002,0.7897036757210745,1.0367109194879764,1.1732569243331525,1.1116571776339519,0.8953032153307168,0.7794125183815404,0.5893829237508268,0.4261570374575192,0.445273498342182,0.41780666924294513,0.4504882247262818,0.4960966928365644,0.5712826525399591,0.7578086887012153,0.5610825486897011,0.6283993298963315,0.5321125586785993,0.5273621788650056,0.4238824784725152,0.41579037807197594,0.42863791276623814,0.56707345908856,0.6285896646628832,0.764581053894459,0.90546716642257,1.1840679232513909,1.256763569667938,1.2058320083286285,1.0723609492782857,0.9955931356831015,0.7751725184863264,0.9132863297190453,0.6876165675310728,0.4756409140133921,0.4749078442364982,0.6180933227298753,0.8483159856668668,0.6329890633427951,0.5065142872251749,0.6698390813466064,0.4691607717184628,0.4587120186165757,0.46446157075546735,0.4581933040097865,0.45332889563307643,0.5733402074080238,0.4702916255423834,0.6812342898612676,1.3067476878924897,1.039874077587189,0.5102423794942836,0.4591474326228529,0.514733302735658,0.4801423489586803,0.5975277726399549,0.5786470717551639,0.49812648774928764,0.5306339584460745,0.5839570880099317,0.7433888702289061,0.878328447496513,0.9149445562350927,1.1271020210825642,1.1821187578267873,0.8923822953442616,0.8641546692126073,0.658936721095435,0.6904942262786821,0.6351299906642218,0.5871137222452725,0.6100521751981413,0.5440326001197147,0.5868108638781308,0.6246807500693574,0.6632646247079613,0.8333315833923689,0.7423324684230819,0.9167699667369096,1.054809643127633,0.9937103459445067,0.9277620485100307,0.9447463586757322,1.3301655620202415,1.7389502367895653,1.328695626595414,1.5762415932517828,1.1021106556452853,1.3055528749304335,1.354009016098775,1.4827755280306012,1.8624167368300037,1.5713532276934619,1.5737494511975119,1.5586358816276658,1.5101748257665193,1.426542648351736,1.183394636403072,1.1402788060101312,1.228866737876869,1.2055031198525328,0.9865919562675232,0.9943302823748654,1.109762034077643,1.0377142006824875,1.0006576557274878,1.090545118716353,1.1704211568286043,1.1926976437760926,1.372353652587063,1.484589974133556,1.308993350882704,1.4143986006271083,1.3543081808718538,1.274695817361867,1.3215097751891485,1.5722258261221267,1.8515767163873187,1.7228129155439527,1.721624471589765,1.6725012885544388,1.6518306791159134,1.583337067122157,1.8173991329559853,1.849437199055863,1.699836085368832,1.7759536867726198,2.1141692077009053,2.0283433118138516,1.9607666456730992,2.45472290037506,2.5847184754129855,2.265439242479314,2.574569457310187,1.779651595695544,1.6779058713398012,1.6459016755611446,1.4274157221737596,1.3597231336045144,1.2560794796772787,1.310906097295387,1.2672465336058176,1.1923634617755738,1.081572948214537,1.080777242137163,1.0586321724076293,1.0178653442453491,1.0095061357139472,0.9932799377182299,1.0651206915666738,1.0939976968931426,1.2623254944692939,1.1497396302240424,1.192511076039614,1.165813688091339,1.182517471942739,1.1847408091451932,1.3492439476248477,1.3243757737795674,1.2097590658189077,1.4206493581313646,1.52217949931109,1.4246540877092528,1.488012792253156,1.8384366653686814,1.9300150884140088,1.6147981636099802,1.9150712700306973,2.1191652949883606,2.062948086184642,1.9076691852923524,1.5751604231330523,2.2034152436695047,1.634637302198956,1.4531399309975666,1.1706147016111035,1.0767792253545747,0.9913680621153008,1.0159806330773546,1.0233655017523087,1.3081310864061424,1.4704168813846905,1.485315583896657,1.0664179570004038,1.3114054985921528,0.8257335098597233,0.8485443930180064,0.8989255568480687,0.8820326329639046,0.9330738725897645,0.8092186161686931,0.879666415869831,0.7964873933179334,0.9092206603721568,0.7611898458011043,1.1593690241979964,1.3417271491388776,1.6660162147144861,2.169783185509544,3.747942547021836],[0.8726253522890693,0.7505069045461309,1.1074304739063094,0.6441266718153549,0.7809480540188034,0.6321774252174612,0.5605668695721571,0.5790086750383266,0.6364570643225175,0.6177631725772372,0.6555766552447988,0.6766413616374144,0.6186691381455518,0.6666238756575991,0.7098809694237691,0.6666367849496427,0.720807003939612,0.72662997470716,0.8278679713089782,0.8180378128789025,0.9432334649555668,1.0321610078617929,1.1009351476493605,1.208153484492956,1.1178405545698962,0.9669164391550651,0.8292003904663271,0.7132950620037477,0.6957498109989966,0.677342023046412,0.7557129942628432,0.6741307877993031,0.7050796790197398,0.7087387332311985,0.6911860699877383,0.7149442417783073,0.6743608947895119,0.7123850546140406,0.7364547864953209,0.8585714506251517,0.9539655993660809,0.8577338890469366,0.9564684008773523,1.1021618616832172,1.470111814068495,1.7610031685152814,2.060002687466859,1.3611990790393897,1.3113885662495768,1.7161980826100738,1.4774179517324115,1.761827018540471,1.4683403757602131,1.3292107053018631,1.6881084755556783,1.1862457179061188,1.1130773481575245,1.0588685755427563,1.0268899016596258,1.3974510498476502,1.0329497844684428,0.9783465811222385,0.8998589203320775,1.0921998856066562,1.0152892151692305,0.8930033863301098,1.0718220684451505,0.8455964959554487,0.9617855723142552,1.0772680363301732,1.1981474437410857,1.4544102487764603,1.1692777754480572,1.1412044348542518,0.9567123489808171,1.1986996957606748,0.8262903864892168,0.7878676272903441,0.78120546502396,0.8385240307589948,0.7613387706080532,1.0332467983305944,0.8924275820368607,1.1540535650051666,0.9371374344037613,0.7715007802824514,0.7348214818099634,0.7548402040486231,0.7391378036599143,0.7172363271411755,0.8023384955973732,1.0553374179842079,0.9078893151647716,0.741866213280791,0.7354837225277703,0.8530565729581129,0.8443659377439215,0.7394013395707232,0.6955607185983499,0.7454521608321957,0.688067460592351,0.7237269020498945,0.6732813029007069,0.7098759086583581,0.9779730488408568,0.8666074018895791,1.0893419051002153,1.2187128980220134,1.169956182229621,0.9785175445686638,0.8733446189010051,0.7231433368783564,0.5837710983018092,0.637091989426668,0.6443876057178235,0.681392841528626,0.7396106381049349,0.7744595157964447,0.9394831475834979,0.7865827520046336,0.8302703426256054,0.7778385697751117,0.7633831922602033,0.6485055979482257,0.6147215928123275,0.6292957613983927,0.6799856143235432,0.7600953097729298,0.8634650909995816,0.9772377087022824,1.2325639147361835,1.2954610666517523,1.2458091657149952,1.1159632466889184,1.0625117427689075,0.8973180213419096,1.014854101274691,0.8389086465273382,0.6909245261984364,0.6889441274729254,0.7880178278291858,0.9764929604712378,0.7934044146804934,0.7091220870326886,0.8181063668157716,0.6958279547342886,0.6854121216390944,0.688259164947078,0.6314807393686596,0.5845120174126777,0.6521191467733514,0.5992602743366482,0.7567932430643051,1.3598157772053658,1.1532940076158777,0.6627219383862076,0.6310383553265532,0.6158254611455034,0.6585804693240513,0.7094346089425079,0.7253463345738944,0.7080121162979972,0.726352337491816,0.7661495078244468,0.8400719190672035,0.9442153650828552,1.0011434030847788,1.208406062254609,1.2623236686806514,1.0210914469830674,0.9625051836039752,0.8036291981580065,0.8248410362854005,0.774785518013035,0.7484372526120647,0.7540251610459927,0.7073477337290545,0.7273488129009315,0.7671355559012886,0.7884807174475204,0.9106280834816114,0.83429569543116,0.976498614803695,1.1118841569590272,1.06489925257995,1.0262789964279035,1.0745030145706216,1.3880635971602928,1.8209792721870952,1.378068585511097,1.6146892630369492,1.1721219297970276,1.368909781128823,1.412555050034828,1.5121415824250106,1.855683410923188,1.5774054869450111,1.5684887143192647,1.5631381399371234,1.5212932018342382,1.4128006287688497,1.1717405659246736,1.1583198885183141,1.232874520533642,1.179439440644792,0.9862161928580604,1.0167320464188925,1.0938366709541312,1.0172670535759316,0.9728447184824615,1.0512653742707367,1.1421547015783386,1.1824558804859808,1.3263694459734359,1.4302635429166746,1.2399489472744978,1.390840229423059,1.3342745576056385,1.2494429308262263,1.29052254041137,1.5632094512882027,1.8032259463629916,1.7192663354608175,1.7016630949023162,1.6286340945666493,1.596706741047524,1.5416691265165354,1.768866750615636,1.798058872104409,1.653592202489314,1.730537040803943,2.0670622025734326,2.0001200450877454,1.9387566065611679,2.39541750725935,2.5483464301384715,2.271192558728285,2.584586769292255,1.7925879740327075,1.6503671293654965,1.5971855957557874,1.3806275954144658,1.2790318309521347,1.2277842305988078,1.256217727467833,1.2043952994615386,1.142775976418623,1.0527397903887765,1.0699647732275042,1.0361055741173013,0.9969521783090918,1.0208572717164457,0.9873069728540325,1.0421532367374728,1.0973783691999934,1.271321028287117,1.1258082646772107,1.1671458484312214,1.1338687930326556,1.1404316886859616,1.1362426870080133,1.2926688340040269,1.283979748205849,1.1744412707968996,1.3766382707978502,1.488611927769928,1.39772761542699,1.475369879574164,1.8257891329562999,1.9509246138164371,1.6320453339146899,1.9370437977212647,2.1201758568102274,2.087448021097579,1.9475582243085194,1.6434527460107375,2.1930586494184108,1.7095369371008087,1.4621869905998386,1.1560288512180972,1.0811013236070968,0.931318188665119,0.9233172079936862,1.1531511793206446,1.4537048607636416,1.616270365145092,1.5446422494168222,1.1428559412781674,1.343061500428292,0.9346517505898453,0.9126439552058746,0.9305760778351739,0.9046450562861569,1.0499169003048647,0.8899454167143644,0.9088808334983882,0.885435372309248,1.00686076115455,0.8427520861437449,1.1949418894668213,1.4652477882839605,1.70529103970862,2.2662647396790008,3.8330174770893755],[1.075086779872153,0.8838850903005332,1.1556403723470474,0.7135039915654217,0.8228447834986251,0.7170803592978422,0.6291975820006116,0.6406527427276711,0.6966514474067784,0.6352921713280725,0.6752415499469433,0.7061979017516905,0.6066197712993725,0.6548862123705382,0.6810783370291328,0.6360554500770421,0.6626208594313487,0.6584145266867825,0.7480478271282598,0.6896681878551132,0.8203837624556239,0.9005859152905609,0.9838797722388403,1.0888021210260879,0.9803442012151689,0.8364056890551733,0.69726770582761,0.6074335630549369,0.619761243204642,0.6007702249039052,0.6971396754085107,0.6198012335956852,0.6719049425301915,0.6318913087216983,0.6077013902533808,0.6046542916735965,0.5980127970980296,0.6022156624961357,0.6177576351198254,0.7382931109978305,0.8068518263944454,0.7199416567868678,0.8153125149702061,0.9824181022498275,1.3686300498969417,1.6695620466119665,1.97958262216421,1.235706304079893,1.1833438597724193,1.581097046695645,1.3444521000189298,1.6808956404077364,1.4102916380283077,1.2444177261154254,1.6768291254887888,1.100575693013324,0.9784701048122997,0.9671723203592347,0.9420590390164167,1.319427762207864,0.9087720717318047,0.8497261932772322,0.7625466821294042,0.9607252800899735,0.8803848415610624,0.7656983694163254,0.9747733657385335,0.7408954032330016,0.9077642831890075,1.031720455444461,1.1679346552045249,1.4385583472986576,1.1402398078116973,1.0842254740103543,0.8772286258560656,1.135075215533774,0.7214193506379868,0.6753462923298555,0.6711267688818618,0.7286332219647087,0.6744929340858029,0.9929801373817552,0.831593011086909,1.1066995345561188,0.8138748391486832,0.6888733295035724,0.6395660574209888,0.6868118040560136,0.6153967678977622,0.6315640369038554,0.710702070345521,0.9865508508780529,0.8482979957860354,0.7055549006537797,0.7090768415142189,0.8341260106441106,0.8383706363320421,0.7248923103412892,0.6920902387111262,0.7634478499503957,0.6783309552881097,0.7396215969094309,0.6636988538160048,0.751848765754406,0.9813060117501763,0.8869503343075782,1.1268011539595308,1.2350879474993783,1.176500629918264,0.9886972454935038,0.9031267294024333,0.7108181319318455,0.5940062427728077,0.5855708430439399,0.591467216692284,0.6046770660968154,0.6425949427555494,0.6762972119023317,0.8371996332493024,0.7111196599573045,0.772333727115,0.7269996701734893,0.7089518494068191,0.61043441208123,0.6211468004489575,0.5729973883709278,0.725477735429199,0.7512099907909539,0.8619886796592079,0.9783111145820433,1.224892696913557,1.3281850756150957,1.2583109358672764,1.135134892844336,1.0385030354054154,0.816296747740382,0.932901825835725,0.717276781105069,0.5488076523222748,0.5555620146788792,0.6881710444326773,0.8924489162495912,0.7075267381262652,0.5993822653746861,0.7273897234244435,0.589702950599302,0.5877965366727528,0.5994537003520781,0.5957259583895778,0.6140282197023476,0.6912045494857882,0.670798532022096,0.8627237713258588,1.3763292236069888,1.132706811724104,0.6951804471066733,0.6375884285189815,0.6394022631608767,0.6416452377027799,0.6906067407807588,0.6806235919235487,0.6055591129987169,0.6087240282106158,0.6428470228909471,0.7632894294916993,0.8926748787838249,0.9355397794280872,1.128695225478252,1.1812419508789165,0.8955021028392802,0.88093906412781,0.6887482193242277,0.7313644325490027,0.701519960995754,0.677126308778637,0.7154853407189559,0.6469332011191627,0.6954627129236958,0.6994943267761187,0.7542060197786157,0.881643362899425,0.808730084977131,0.9813145279706107,1.1184855195225982,1.0470317629412593,0.957972574086257,0.9695918741143796,1.3092893476754401,1.7246307144295387,1.3044200568641078,1.5698350356998005,1.119915861666672,1.317084519698798,1.3680110720859344,1.5086504525165245,1.8843353648899572,1.57977930781932,1.6189593988404494,1.5983621109675608,1.5315518196049256,1.484694531778108,1.2474893493347836,1.1914675237709735,1.2907371313071532,1.284825003902374,1.0948567977385941,1.102707423439716,1.2120311784509143,1.1682323893544233,1.120207182822471,1.1954147444530958,1.2993529705951194,1.3380063125716932,1.4575477104601404,1.5788770685138886,1.369102361017587,1.5317583412482179,1.4485708077103678,1.3803382162245268,1.435833775950036,1.7381722377168654,2.0090239444286118,1.8880240079692023,1.7981533340021278,1.7785384027405369,1.760254477939843,1.67996692892779,1.9324234928867121,1.984591859963586,1.7906793491283872,1.878536145433337,2.2332632485448234,2.1465642905223796,2.0444386590417114,2.4659346320340507,2.6297776812402542,2.356001429684113,2.536615578839742,1.8565317522455167,1.7138915258743248,1.708189874611687,1.51422903983292,1.4105818970778934,1.3649673727779033,1.346852330569479,1.3229080742493633,1.2829111450180888,1.185138219552509,1.1772249081022177,1.1615507690838873,1.1468403996488035,1.1441922287010107,1.1327695222266763,1.2096992135642486,1.2454714786237342,1.4049358836483634,1.2823382474200524,1.340553422846973,1.310906570185559,1.309210061978072,1.278235819944409,1.457216721990204,1.4436377986620206,1.3101667085975266,1.5061621991952665,1.6254028155907092,1.5187580417912572,1.5728041052299349,1.9605168162492221,2.0728378193178867,1.7061699561198023,2.0249576877944717,2.262947649249818,2.2340434224265207,2.031277590058858,1.6919521750314677,2.206035987334189,1.687865538509047,1.5243915774104417,1.2241923588790542,1.1796653173064002,1.075452790867879,1.0585133827855646,1.1751710120158694,1.398278835206679,1.499856376939195,1.513872139833435,1.1327394950083587,1.3409557411427064,0.9310028277261483,0.9885666397647783,0.9944451429762792,1.0005008150451267,1.040797638393986,0.9483214987390108,1.036049496607473,1.0200595149898062,1.0074429161749012,0.9773022891254978,1.373049595206837,1.6816282439189865,1.9920618546138091,2.7300577096730505,4.33302763745413],[1.04808193903595,0.812849205196756,1.0994714968185906,0.5831574610758892,0.7585300297509358,0.6662321839634828,0.6072075030894841,0.5926404156718257,0.6299165054543722,0.5815360898876333,0.5953006938292753,0.6409085880251508,0.5874560611494745,0.5990195381356257,0.6235176719015935,0.6218515006356842,0.6667571091398374,0.65623906335009,0.7653381911062628,0.7114589690327623,0.8380519184846749,0.9463129615756637,1.0371734305890858,1.1194457862877425,1.0113843005583194,0.8584087282211889,0.7639438168227565,0.6545388628272797,0.656436167632372,0.6032201282738768,0.6608376016123759,0.5969661330792192,0.6392480367183443,0.6191001009765235,0.6226900741484851,0.6280092291489977,0.6417664547359774,0.6879324052958212,0.7123496118233762,0.8291353652254542,0.8962871500099491,0.8175069911117341,0.9066716087854029,1.0828273330572757,1.4470974870199704,1.7506624134775113,2.02319349168278,1.3025836363153018,1.2497098472624062,1.6198913641780284,1.3749223984425136,1.7019768174866314,1.4793665294724967,1.3089251087305989,1.760421573014148,1.1894734501273974,1.0492900615975314,1.057713435832873,1.0509390986285545,1.3262574034312828,0.9308463432181524,0.8589713834995704,0.7544027136867514,0.9361536407712875,0.875659430981288,0.7818293255961977,0.9234883511542608,0.7246679567855672,0.8828816195976671,0.9684228341554797,1.1155049328754165,1.3838075434588633,1.0899293919033812,1.045026700139602,0.8254468949200819,1.0399431886209252,0.7297440667491188,0.680296363919924,0.7097233262340801,0.7789213080257043,0.760256461153618,1.0790644034431855,0.8926926939462908,1.1599889411901854,0.8713710208520639,0.7637391967309674,0.7348718221896072,0.7555857541728288,0.6605033488851407,0.6677382448586514,0.6949843773892932,0.9331513987693618,0.8102837396433352,0.6532215086259741,0.6534572957715422,0.7517047951659734,0.7734523765210681,0.6638879014343814,0.6254112216635577,0.7073802152917462,0.6552858811541368,0.748695025867515,0.6891461694779396,0.7579260036837346,0.9911473935945975,0.8794064884906002,1.115760194208628,1.2197799239552227,1.136166315358917,0.9436069972113657,0.8555868842960611,0.700382348039748,0.600854801604724,0.6002337127146735,0.5880113060347318,0.6096957730782796,0.6430694343828788,0.7186433773413172,0.8324712337247377,0.6897025136575965,0.7381076480164406,0.6679477275713043,0.682217724531581,0.6054608887607937,0.6109356498996673,0.5758763635273023,0.7115808179066646,0.7429488324201797,0.843163759477994,0.9707501360323928,1.199350315644181,1.3025623110417042,1.2495204854100637,1.1393570463715144,1.0464918469045164,0.8351489271718198,0.925470767212488,0.7350410545062734,0.6037162510196582,0.6264572429391234,0.805986033131986,0.9969126710432161,0.8028509549152948,0.6870901734907822,0.8274649453932058,0.6456559218823331,0.6335436567945835,0.6127707706876754,0.6278247305110422,0.6294859762052091,0.6906133621110399,0.6327424762014372,0.8423119290559788,1.3440153904665595,1.0305331101099897,0.6534088051230862,0.615066626793552,0.6559419989880215,0.6450692738991182,0.7074844637432841,0.7165529274125152,0.6564349470147213,0.6677749363613299,0.7000440521315426,0.8335469663496481,0.9532556145535114,0.9877325354653242,1.1910289503806923,1.206753451959297,0.9449440484438743,0.9080521101395235,0.7385146758737892,0.7810973764543405,0.7545618727819694,0.7323496736086447,0.7515432539947872,0.6822794212559271,0.7537436239952281,0.7547513266202932,0.804236642890241,0.9365901843550937,0.8303300662867185,0.9991671111388692,1.1300450693623902,1.087806583810555,1.0358373775589902,1.0430279441311512,1.3648514061075534,1.7865921824824145,1.3308781143758983,1.563872728577944,1.1772807741467246,1.318917262046876,1.3578263484128799,1.4846120620053058,1.8470355246366987,1.5454629876663692,1.5849390402388535,1.545400523611287,1.4699411183669664,1.424272833759246,1.189029925666003,1.1263388261903102,1.2137602619720393,1.2093107046673233,1.0115361525612685,1.0054495345542318,1.121282373518418,1.0843457360634463,1.0579702306246141,1.1351915665062093,1.232432254607904,1.2724881600533575,1.4239504998757921,1.5511756128686762,1.338638057828851,1.4605744410786972,1.3491922847896303,1.2744646575917777,1.3400855328546752,1.6215433775280976,1.9209637207991535,1.7742934884894537,1.715720975675305,1.696359026971455,1.679030298216537,1.6101713005801401,1.8595862927635334,1.8907484367977323,1.7177591926955953,1.803481655603069,2.1482997631413663,2.0563393327939057,1.9692181858132354,2.403372934469992,2.551601342365426,2.274621403581708,2.4734823095249254,1.7860070220434834,1.6698278685869217,1.6614673636528137,1.4605686503613493,1.3727504277406601,1.3068909262012263,1.3151936459041655,1.2848220176060656,1.2237637266395156,1.1207461977135582,1.11744653869929,1.0907429129458588,1.0705584200082319,1.0676836975998414,1.0569706916069812,1.123494725561467,1.16111386598863,1.3354604166624628,1.2023679847113629,1.243808704794381,1.2093384932792017,1.2148932100201202,1.2038725109615578,1.3779980821411957,1.3527758884435912,1.2247193244479047,1.426968263486133,1.5391979916346135,1.4257186121834393,1.4837250147556968,1.8703498830482705,1.9767889785273638,1.6078638943250902,1.9368184698411612,2.164035638955311,2.110608556720096,1.923320564435393,1.562015302799117,2.1263688060803787,1.542223155991505,1.4064630249332557,1.128430884991042,1.0720056863425942,1.0263614820114006,1.0313284889912926,1.0162473875791787,1.2369062976043397,1.3597950269317867,1.4027290200259264,1.0450757564285604,1.2821151955257906,0.866078278734661,0.9217913188843275,0.932339094216741,0.9291783625968455,0.9388131784297912,0.8644630189887565,0.972751130647597,0.9205823153746847,0.9048292191833276,0.8925539815735302,1.327283869770893,1.5845333550691407,1.9283449301220659,2.672215821972894,4.258873504737433],[0.9304459723461475,0.726666521735537,1.0743265531860124,0.5412103794126772,0.7263180310135203,0.5746772532939033,0.46852413456332254,0.47356022287458927,0.49461446704312123,0.43289478166358475,0.4540471650433265,0.5170439955943058,0.439825235869118,0.4585457014880324,0.4951145096107944,0.4762504145711473,0.5302670128325969,0.5195336105669791,0.6278685581471984,0.6234684697820924,0.7455229060530245,0.8396173737479861,0.9617754489066624,1.0677980197425705,0.997088715541796,0.7898059325054785,0.6722725128467709,0.5299985196805532,0.5263419090809431,0.49102075566975073,0.5428201248503334,0.49122306165448965,0.533921250181648,0.5164952424067117,0.5162921476553334,0.5236066217531062,0.5514682769964929,0.563197500254148,0.6123534212630644,0.7530695402478178,0.8072775836709974,0.7003642449336323,0.8079256922133231,0.9761839708575081,1.333098221292943,1.6799497285151823,1.9407948224375875,1.216557585217114,1.1970662103229655,1.662622381209752,1.363928708624476,1.706765249998755,1.4413695754692932,1.27047314423314,1.7010945553374082,1.1277103263898616,0.9972687010918555,0.9627806762088941,0.9666943001294828,1.2728844647812585,0.8660796915809607,0.7891908611731053,0.6802915643739128,0.8579166882410805,0.7929333677028935,0.6938755132105179,0.8493526488546383,0.6105095347559899,0.7634003788742317,0.8716551756782589,1.017018723812716,1.294915640470007,1.0034688934249671,0.9530396704142734,0.7298710350616611,0.9771869644825065,0.5950985403855313,0.5565058761367729,0.5884725619154597,0.6749570646203025,0.6865365212357112,1.0591436498323485,0.8576145608058133,1.146349869892006,0.865937814681839,0.7081940626011359,0.6270844645974418,0.6694647959899318,0.5530136236179872,0.5616680314080691,0.5854610561021343,0.8660854851760561,0.6955358308974926,0.5334210980680311,0.530879822060833,0.6495313637359641,0.6780388810942886,0.5487866331897593,0.5177252828060165,0.6103113153309445,0.5466644491668331,0.6531673588018784,0.597611218863083,0.7017464297578768,0.9933141752664137,0.8765479609535178,1.1335233577812454,1.2640877244685482,1.193630522422467,0.9739670919640451,0.8682895487083572,0.6700520518240872,0.4839136605003981,0.5024363687982109,0.46795796585666727,0.48892331007936807,0.5397995962209728,0.5935517085648578,0.7416653153217853,0.568081331524872,0.6142173830301247,0.5572180507964815,0.5671511242524878,0.46635528220122424,0.4541515267911891,0.4868216535099645,0.6191532558361782,0.7067055537094641,0.8465687523472771,0.972610479085931,1.2532584750173867,1.3487320345714284,1.278174263176844,1.1481131435731413,1.0604255397681817,0.8312997053923492,0.9656507749134573,0.7422527047282043,0.5435176943941484,0.5556717024545994,0.6837585103732634,0.8934310722833316,0.663602300771506,0.5615597551701701,0.72087384373384,0.5276415384403748,0.5220166725852999,0.5311802092769493,0.5189796632578978,0.48181137762260245,0.5819726206217514,0.517235443484804,0.758805761640876,1.3212924580017018,1.0232692903647052,0.5573107359898939,0.49246227465343345,0.5379855399334604,0.5597931809754426,0.6639484026769308,0.6620918315598252,0.5833459703543296,0.6040421311881559,0.6548355076305448,0.735806134319745,0.8844212371134009,0.9766458492016594,1.1867440232430704,1.2506408338362383,0.9735086531940036,0.920965726050093,0.7213872099254092,0.7736002187959351,0.7130850269852244,0.6925557376153548,0.7109271164553107,0.6348299904700297,0.6905350137294484,0.7099126167303408,0.7574560440852425,0.8369086429887789,0.817862234621432,1.0013276240287587,1.1512375673764457,1.0843930074832961,0.9993056914162944,1.0041841204642283,1.2809050596800868,1.7707578992868596,1.3170805022051573,1.5804915599472764,1.1602164238627466,1.3530446636648117,1.3936623431189388,1.5097350856059417,1.8670280206014358,1.599394669198436,1.6117547039434656,1.6184877636658381,1.5470403431992035,1.4728186047551264,1.220751831035615,1.1860814612672879,1.2819596942847826,1.2377367903350671,1.0095305224662374,1.0363044682351508,1.1322753936917784,1.048331627533737,0.977307062460569,1.0603234689640144,1.1532969705520175,1.1771856749050593,1.330381654739153,1.448648411716988,1.2542439354792905,1.394851625813149,1.360496649954249,1.2889538819601023,1.3246255766055828,1.619716509132034,1.8649269327249112,1.7754807918348603,1.7677247803787033,1.7061766175293998,1.6764913656258764,1.6191094314147219,1.8460150606627763,1.8785695283211084,1.7313562763104509,1.80854919316497,2.1372164762416377,2.0827979435518547,2.014414449672853,2.412977726399494,2.5985811281526745,2.353402832545036,2.6182441312142997,1.8824291962744322,1.705698938288944,1.6646370360577292,1.4558718576837435,1.3480843452370184,1.3033990162743199,1.2920320075125558,1.263682374642987,1.202045785581594,1.0950938283403409,1.0942761916997947,1.077346392084397,1.0280505679723007,1.018849915734502,1.0021144278849414,1.0798620472726002,1.1125675062749558,1.2774437582431082,1.1423722635247096,1.1934918195820454,1.16782848709601,1.1935913056861518,1.1971025531084656,1.3685117526290347,1.3428272112911057,1.228680524651965,1.4503107535585718,1.5645452240858022,1.4653024161258632,1.5519957976314878,1.909126384713983,2.0393571140440883,1.7176529279855557,2.0281615646977094,2.2101373211997544,2.1719507333948154,2.051629895075719,1.7385363420102422,2.2722724395250316,1.7858356437658094,1.484392519423232,1.1575030771665935,1.0996200008253603,0.9300671854818161,0.9144095605839511,1.157329048362637,1.5195658708031745,1.6678389273164218,1.594448049309734,1.157202380311268,1.369109548986098,0.9078024634900459,0.8910236021474379,0.9403666507963472,0.9109280003204461,0.9637716660069355,0.859970150245615,0.8859314986782207,0.8529697827076845,0.9115245310881381,0.8266589729729318,1.2170683160073494,1.5102668054982245,1.8140085193277156,2.5107062893487746,4.119820240550422],[1.215074571286964,1.1415987580272404,1.399733233781279,1.0053764712230062,1.0819816805178957,0.99498671870352,0.9205330375992602,0.9227134873543376,0.983060055171109,0.950990322277381,0.9857404914804578,1.0074770718145925,0.9334973823786467,0.9872699085793563,1.0025020126461803,0.9591861885214423,1.0066130484986298,1.0057117532267754,1.0731559454382478,1.0320553175015847,1.1085343098052978,1.1137493984369642,1.267415828270202,1.3521045472383895,1.2950270154783285,1.1393277848616103,1.011985227981409,0.9437943763295729,0.9663367564229154,0.9366466216477277,1.0197818132076621,0.9521222262357879,0.9807230328150831,0.9739113671623262,0.9481157938163302,0.9457357469039531,0.9517177708312147,0.9199134849631704,0.915750092161746,0.9577923623424555,1.005878938976731,0.9800982511912785,1.029853791489265,1.1538909708077008,1.4700203112592825,1.8052307490424626,2.0328271453287363,1.3340515631665704,1.3247980154879986,1.7748630831818701,1.4642724668767393,1.8132171942996387,1.5291342956081173,1.3696270426519483,1.732970940667093,1.2524757918860707,1.1593488669586107,1.0887652965388286,1.1106584904310555,1.4197922422948137,1.156609132677819,1.121067440635655,1.0597646521941853,1.201961891209245,1.130668918880134,1.0610522374580116,1.2375006898935403,1.0653275543649445,1.2036737626146907,1.298521241333112,1.4043171100558827,1.630951327359359,1.4135045884015975,1.3846443085312938,1.165172770247093,1.3663791785272075,1.0054648101938533,0.990277636415323,0.9467673691184124,0.9763731282170389,0.9878706880996599,1.2755481190680078,1.0898358964609098,1.3166437189669367,1.071037345177622,0.9931547776832502,0.9197053535662126,0.9743376230590152,0.9391161617033414,0.9894209569447399,1.0403404874565954,1.256136683419197,1.1135288642088912,1.0354879689060033,1.021481138510458,1.127528620067329,1.1369375618542739,1.0083567972288012,0.9937150265737786,1.0323642683766343,0.9649798456266896,1.0034392874050353,0.9730740623765944,1.0642781257771528,1.2726654746997095,1.178668113828134,1.3977756566661335,1.512715745271248,1.4792319109258476,1.2863283759755109,1.2148052777269873,1.0248989753405942,0.9057030149829995,0.8981255295085365,0.924979915288145,0.9371037652428645,0.9747171102851266,1.0147017289188924,1.1656943789361762,1.0543390149073635,1.103239107313624,1.072762596048259,1.0582825496347452,0.9537892728116238,0.909574420470954,0.9125908501198543,0.9561602332032548,1.014684186114178,1.1252502944581375,1.2008621279418779,1.4663250330789743,1.55445450935554,1.4353337153351702,1.3261974873582103,1.2389060282942692,1.0572366031633456,1.1680235464940962,0.9997845967667814,0.8914869953228056,0.9028000228284516,0.986394354745563,1.1255699456272485,0.9967478546250983,0.9161395116261299,0.9559122208412986,0.9064104014526694,0.9088269887250289,0.928960548276211,0.9096964149699935,0.9049411223089953,0.9652361960446614,0.9608013344096166,1.1177540229056309,1.625694295904333,1.3848381695273417,0.9995380201425894,0.9353801705452672,0.9301142594865622,0.9591199319128756,1.0209420967165668,0.9678906923013009,0.9290512158077578,0.9239398788658294,0.9521007422872103,0.9259374205280554,1.0245499261960067,1.0932352127357559,1.2406699194610367,1.3212040531711533,1.106831880945844,1.0718647030397397,0.9437973536798178,0.9988017862582876,0.9543434895025295,0.9765892603296408,1.015076576439771,0.9917424212820027,1.0160707291369908,0.987078314933221,1.0115901046344535,0.977669353290302,1.069777516815301,1.1838613115132173,1.2863727519152908,1.2111934569403355,1.0938612995875872,1.116447374215453,1.3464322209736046,1.829857072248386,1.3907325868967861,1.6474993775344862,1.2380577103302253,1.4217091120018042,1.4662770272092602,1.593556880629318,1.9652346278115715,1.7473732154863204,1.791540049151589,1.8437519941782516,1.8029015571416513,1.762340172464474,1.5378636052343846,1.5081532284916033,1.6174427190724787,1.5936332465951535,1.3608639754151743,1.4005571257310059,1.5170227377224792,1.4105208320296478,1.2741066820998197,1.3679901390424671,1.450676434434821,1.4032177162927277,1.5220247792223836,1.6495663014253725,1.5683026069083534,1.7170942692581286,1.819974837385454,1.721992927120021,1.7660533505512759,2.0613954210668894,2.3345074022741517,2.198479256253521,2.1644466339916204,2.0764256666776792,2.027815935572436,1.921431241807893,2.1153214934798976,2.1980682986938653,2.0321404054048724,2.069369040094238,2.393985965529318,2.3562476216852133,2.2495251551697253,2.56990884662991,2.8058626378476297,2.5865943944307146,2.750290692862419,2.1352406685143506,1.929109496918788,1.9024405795983421,1.7346743134149238,1.6269950240089166,1.5945035394715943,1.5650948624091525,1.550854104076509,1.5227505344989913,1.4187959976979576,1.3902866926282826,1.4160575784049403,1.3661924452102603,1.31801001388765,1.321360140859485,1.4488119185254593,1.4324895963087405,1.5075090440871963,1.4749472661959908,1.5771410808631074,1.571603373899094,1.602221192793632,1.579503587804249,1.757602358477173,1.761322920334481,1.6292768710298768,1.8191697921872225,1.9653812612927988,1.8801048407940633,1.9126805443234758,2.2501726006422866,2.4189364787626997,2.1088861968175525,2.3346208445404844,2.551764795174325,2.577070742802149,2.4487780396555996,2.1606690653909753,2.652105953531203,2.2805436672443657,1.9821809659127865,1.607522175454019,1.5181991876550696,1.2282260512971515,1.2511184186917124,1.5827505805632087,1.9481171827548622,2.0137465669315886,1.9258469074444748,1.5026095652239726,1.6478567556444437,1.219268969135642,1.2181652187359306,1.2914343085391895,1.2565035131470592,1.3003858471267722,1.2222752227560945,1.1503422828870338,1.1629533606908797,1.2719724471599192,1.200010333439588,1.4188888397272903,1.8319984634614745,2.111900074384174,2.906149210488502,4.572282575948939],[1.204094506953822,1.0217718735998387,1.309776052958744,0.8164910965215251,0.9778498246845392,0.8239407617820277,0.6974388113067628,0.7420143231038016,0.6329049410740659,0.5312305443836391,0.5120298049537673,0.635202494311696,0.5816136546658257,0.4864962143829373,0.5205401580724244,0.5605495559085032,0.580584224276756,0.5247016159563386,0.6029635885372223,0.6049847005057022,0.7102531419745239,0.8219848037811612,0.9592945261728032,1.0394412832290916,0.9711114099583341,0.7603043984631906,0.6841115006810576,0.5684360777075597,0.6055995217025198,0.6348899604113961,0.5928058325127573,0.6509543836621666,0.6750312461743045,0.638093371907533,0.6853334974342369,0.6554001705520487,0.779599585741512,0.7070141677297784,0.7618383041389963,0.8898840123011688,0.8776166999327573,0.7460807057874556,0.8485863217247762,0.9920674559292104,1.3367781802418173,1.7058488348528515,1.98382666423938,1.2288504782505527,1.2069043004908186,1.6580814855760848,1.4118992837074278,1.8166200943886062,1.5634620967858432,1.3785481637905208,1.833701422721617,1.2760167821476993,1.0907454568960098,1.0903393740480858,1.1285166569970788,1.357617244372216,0.9212148531346953,0.8249031405106866,0.7048738087400456,0.8021056634048418,0.7455472453847432,0.7210958489781039,0.7904195146645848,0.5545553265192599,0.6873699217793934,0.7805987667281613,0.9197060446173861,1.1920388042167505,0.9276677678651472,0.8568052173211237,0.6426558018306552,0.8454346530807668,0.5887668492124016,0.6150246638192033,0.716415489800107,0.7992885271718997,0.9004059025152925,1.2954978033378637,1.1326326268400086,1.3691715792053196,1.0230781429357894,0.9423161976445579,0.8160584674685067,0.8933141504824734,0.6642141334354522,0.7169088411162093,0.6091359296599433,0.796202430162,0.6723016450825609,0.5698945724216655,0.5627663078368105,0.6233676080465065,0.6542250066784522,0.612200381178425,0.6479627914999934,0.8421051003185143,0.7738400428880151,0.974238239377584,0.9165798557037812,1.085780758154459,1.333510846663364,1.2474262942963126,1.5468710449106868,1.6265066254886493,1.5468960330553132,1.338174548620857,1.2295846269758697,0.9934426094904996,0.7583385114350145,0.7108231617398068,0.5733295730590035,0.536317268316617,0.5338570052097306,0.5298002992383221,0.6538882938035533,0.4955610505748696,0.5348226483714662,0.5123787531108801,0.5220456570126025,0.4890893665747102,0.5385570634741021,0.6811503644047621,0.8772291653705615,1.0043950430559907,1.1489233907152583,1.297590116596991,1.56655624764395,1.7093956869867943,1.614796296886036,1.512909335658413,1.3520490764332642,1.0671631955887941,1.1885764302502755,0.9132248859625923,0.6589485024579801,0.6403167902130884,0.6631259524233724,0.8857646666893685,0.6470454770793098,0.6205148245415887,0.8524130499419464,0.6356427231988993,0.6338779439126762,0.679264791012808,0.788017343266339,0.7328857713530942,0.9107175068036136,0.8124565894089038,1.0915826011110397,1.518320903398519,1.1679457190007152,0.8562510519200871,0.7571010032462433,0.8645390932171227,0.8328769155157459,0.990427602892398,0.943313784303608,0.7819285475958218,0.7521611715375678,0.8191532492991342,0.8896504324412178,1.0472533341612416,1.1638507353086431,1.3093327087413655,1.3771550251399696,1.082882152044941,1.1157810913261583,0.9010977009258523,1.001926192210643,0.9839174356337143,0.9637155300833847,1.0296227562942633,0.9240892879223851,1.0055955383235087,0.9761023192009974,1.077913840879851,1.066651613018152,1.1515068264124004,1.3593539240736259,1.4787370013776087,1.3673564836838352,1.204534373233645,1.105373424467092,1.3532131871272635,1.7662938729111064,1.4284368184706195,1.752080590681665,1.3756734018788106,1.5603906326532742,1.5972773846983368,1.7674702461800935,2.159422428834083,1.8975829448436927,1.9627390178825248,1.9598113799910266,1.874417875700899,1.900637018780031,1.6734871413531247,1.5843187964507044,1.7135190526210011,1.732529582296254,1.4740269644735675,1.4637596460576319,1.620397660931584,1.548372818665978,1.382184707403058,1.4831486106348626,1.5874431343018711,1.5305728011254072,1.638350122377571,1.7831322617913088,1.6518364223769206,1.8278481052878868,1.8547230551675427,1.8064310794867227,1.8677050341917074,2.1403900897241335,2.4627655143985767,2.2986264618864722,2.2667803883797952,2.2469799338274767,2.22973624032113,2.130209666453786,2.3607997265266345,2.422895241239741,2.2324511237255296,2.3005790069157683,2.631567268968992,2.563965349391401,2.440387148736077,2.7306428067481767,2.9484632607704175,2.7394968895657708,2.780904163445371,2.258005902025039,2.0886682751905616,2.106079973927586,1.9539135547181334,1.8519261870433241,1.801292245111142,1.7481388033380847,1.7507435270453084,1.7182076762509126,1.5945943611845024,1.5392966548672884,1.5700349275088017,1.5314660272981109,1.4460966846058307,1.4539658839934038,1.5898050537445512,1.5599097725626156,1.6291095471889059,1.592522894489717,1.6942662186901811,1.705897293909378,1.755564843139322,1.7511521808755468,1.941537830125044,1.9055732936116838,1.7632883016381145,1.977258230336852,2.1121785226965644,1.9953322190593783,2.040112105810612,2.4202106847659497,2.529214754791835,2.190411994075486,2.455580800225888,2.7176478129085906,2.6984768608571557,2.522349184630189,2.161136800895215,2.6686968710841077,2.1755996407765887,1.9241947050063617,1.5427346107622255,1.5326360076489858,1.2689773435343403,1.2154723379095875,1.4511013876729393,1.7778757227262514,1.863775517477787,1.9003195260363046,1.4803646501888892,1.7001019076062602,1.2133338146363473,1.2522190344901687,1.3503426536236278,1.3443694086104143,1.2559993663814968,1.208415972655667,1.233328525310498,1.2016666049360367,1.125202551883626,1.1406004885510672,1.425432735522417,1.887595481271046,2.275046321878214,3.2296367765036185,4.908860754476214],[1.1869622594136373,0.9233373445631239,1.1884622120195252,0.7395590545490214,0.889276914902588,0.8004536433513111,0.7215012321894603,0.7390734278667699,0.6688712719590534,0.5995990923497784,0.5924055370690584,0.6816552349940979,0.6513062710675558,0.5784064789974296,0.6087171578131039,0.6382459315708727,0.6448098786257819,0.6054248952684783,0.6751022968068724,0.6828792058751396,0.776071250636254,0.837940447542107,1.02729320081687,1.08352987093361,1.0635059857714937,0.8162259008115972,0.7456596080508354,0.6333569694330902,0.65706189970772,0.6757035701550189,0.6514768727565344,0.6809747393396589,0.7162376527439771,0.6919785238910529,0.7258827103607957,0.7122227176051562,0.8107411140157593,0.7584725183864817,0.7850821363250803,0.9099719667754251,0.8899016196637239,0.7774457608671214,0.8673694350417946,0.9872493471529898,1.3012333290253844,1.688415006137186,1.9682473956587825,1.221701039770694,1.2231395223224208,1.688920721547967,1.4296684317009016,1.8194927691150515,1.5862963225818125,1.3877169088287278,1.8682731135471646,1.2973964547772712,1.1177644328022962,1.1120580127061845,1.1551374636976453,1.4144916732945831,0.9823922337811704,0.8937938601325186,0.7893929031638195,0.84730827682675,0.8118294144297231,0.7765146562372889,0.8217229541017806,0.6172228840151126,0.7204707065185194,0.8086103317052973,0.9404215129482558,1.1799415534155417,0.954463716176999,0.8668303476113431,0.6983772284220544,0.8869192907622467,0.6699737659120472,0.6760691766657454,0.7813298711301933,0.8397327206388602,0.934842967020323,1.3226871663154292,1.1223506067093783,1.3445766686555451,1.0233960829807818,0.9447507832581913,0.8586814453298701,0.9505778613731577,0.7315811278495415,0.7696124692334899,0.6598537097371555,0.7982952287540287,0.6706182828057363,0.6339400581882922,0.6289050592814578,0.6718172178682764,0.7159089325171235,0.6368383726810601,0.6632599066296699,0.8016269395119011,0.7487496071039618,0.9006860997080907,0.8704613245970958,0.9888395937706148,1.2389589580303855,1.129013355851443,1.3726033614281288,1.4553749204887734,1.3582019856142076,1.1582011052103935,1.067426313148123,0.8977769047482502,0.7316947990474022,0.71147944039431,0.6306561666532213,0.619141642947918,0.6404557441281093,0.5954796935968363,0.6921395779189666,0.5965939285552313,0.6476018008947313,0.6071345078802743,0.6097895436159122,0.5861311742899101,0.594215665148303,0.6803580562825822,0.8076349478186811,0.9058851023722084,1.0340204891646625,1.185894206163174,1.4376439635248366,1.5574640179938721,1.494544492491672,1.389414481155094,1.2672957288761826,1.0093293972462578,1.0973275450882345,0.9128597981895568,0.6899866985262392,0.6773155091312062,0.6792347209933648,0.878580935223781,0.6648952318590465,0.6555248004456158,0.8656102040707262,0.6686276240346888,0.6680236712114717,0.6925989180389094,0.7534874990308477,0.720993488688696,0.8192990637486167,0.787839480108455,1.0150826263434258,1.4226822582671865,1.0984986776309096,0.7908123210333647,0.7172441892472627,0.8004916361481157,0.7983441707079204,0.9191306768654113,0.9004095507554214,0.7841681554233645,0.7702852445626169,0.8373346165582513,0.8860055572863448,1.0240295078330317,1.1402024156803034,1.2958140473880828,1.3698750467854404,1.0755766649333942,1.0755147678751513,0.8862889534154538,0.9765226097028276,0.9421617089030064,0.9264116664769814,0.9776609108867372,0.9042897619554066,0.9527211550387478,0.9384248137308088,1.021477126261748,1.0081188587574985,1.081460186858759,1.2744613581991648,1.3984417181048256,1.3226873487089532,1.1965177240501699,1.12730866959613,1.3233812656540136,1.7946016462183183,1.417706961453368,1.7230451009264325,1.342916713927089,1.4945881314921672,1.5295136769162052,1.6851690436519946,2.052053034308606,1.765664410974447,1.795860651549666,1.7666377063783685,1.6874024099547484,1.6412688881870756,1.4106568614701558,1.354644918061898,1.434495921086358,1.4185645124932336,1.205963841771664,1.195770240820996,1.2962643186628175,1.2528170124802174,1.1983671703141843,1.2692546865263727,1.364672299225978,1.3940898672746311,1.547550593932863,1.6690216331244838,1.4549251051463916,1.573362301470317,1.4427066395275057,1.3983807727612114,1.442547685369728,1.7176490115125567,1.9358791611426367,1.8371846748802385,1.8383224421354896,1.8394575171979113,1.8394361817768743,1.8006929428648648,2.017139719615344,2.0459788764729474,1.8982569462439527,1.9887412949165986,2.311855606868412,2.2396467891546825,2.165121789561091,2.5272977281174076,2.719713717248764,2.486438907646627,2.656456192595953,2.0227759444678917,1.8751134956206776,1.8629361169702396,1.6592644172718627,1.5735014179213664,1.4995073848777751,1.4988510757165496,1.4897584675119524,1.4167631579366893,1.3251273240081007,1.3206886681285703,1.289979541524905,1.2533372526905737,1.2258798828535231,1.2250625822281267,1.2920717505294066,1.3097944462485367,1.4728133657856133,1.342624347982739,1.3851149344405935,1.3575305815785186,1.37213169825318,1.3916982109911298,1.5468273370959784,1.4873702835381712,1.3928450798567549,1.6099311330113164,1.6861053652913724,1.5753838696879277,1.684807678737308,2.033822120870703,2.1030901053209434,1.799629259716857,2.1496285230535883,2.3186144749398405,2.2556902044757616,2.1299386919221046,1.7789433826087526,2.2834051935624995,1.7168761571156692,1.4820979587331633,1.2436105745718655,1.221943945926945,1.1616312526080241,1.1421602726705486,1.1771954499761421,1.4664524967282333,1.6222450081562916,1.6362439319127657,1.2645032404118188,1.5143255000863665,1.0623164628406672,1.0698001106277981,1.1530974647411325,1.1255911984431415,1.0666286120034405,1.0239222417319087,1.0972565718680185,1.0506860764901744,0.9931330509133339,1.0001596742522048,1.3950388679918735,1.7322916069699035,2.130862568294637,3.0010187053712216,4.585757917924816],[1.2428371022370515,1.093672408008059,1.3602629093647765,1.0427797885527708,1.210670997863222,1.0613155692064709,0.955642904132502,0.9721405846419688,0.9275354524486368,0.8657424858388891,0.8545051084203175,0.907328821978529,0.9055690337646912,0.8494970403633927,0.8656542110119653,0.8851255978148227,0.8779593972165982,0.8440790043598935,0.8874734853378947,0.9153352303945763,0.9531657213358843,1.0167440464283912,1.1332034627540983,1.2289242258766038,1.222440385501989,1.0190823980456565,0.9740493906175739,0.8940114863395535,0.9083578015945732,0.9400490058241724,0.8877372924980668,0.9622043272237267,1.0009359743741926,0.9519994238949137,0.9716711531246207,0.9499190788019176,1.0463842143437623,0.964736271296404,1.0146331663149235,1.0832607574115924,1.0942348963347754,0.9905843122234007,1.0460080479222542,1.1514135816019893,1.3969882205613733,1.7448220829106724,1.964739454424091,1.3172326584133394,1.3639330263061826,1.7919212203898003,1.5095581096395467,1.9064904155829834,1.6409112236633916,1.5040600834538882,1.932326177180297,1.375472315176586,1.2156006153868668,1.2481304457636198,1.3026607910055419,1.4782683138976604,1.1268058548900648,1.03972340904409,0.9592259476901833,1.0182802645306384,0.9753026252571698,0.9436173379894505,0.9729311182157495,0.8502740687627875,0.8758697441426678,0.9888830970158217,1.019174207397228,1.2597375685076513,1.0867008971103997,1.029936469850193,0.9301078464394072,1.0133339597356217,0.8756793871556532,0.8920094370042824,0.9648587327010507,1.0461515204396044,1.145829571406482,1.4637865949658542,1.251194357963924,1.4823135122425009,1.236759351810382,1.1527173618913993,1.062079661999141,1.162111351910582,0.9536325887608479,1.0031421852127251,0.8964760984939225,1.0106428389549666,0.9197036933408884,0.8672588092478317,0.8685239993251581,0.8910729545974844,0.9508918270089105,0.9086468077795008,0.9128645034905566,1.027946144206811,1.0085516518384874,1.164067602759541,1.135165403753706,1.2456192987260342,1.4471546621978475,1.3945472591566956,1.589076491035238,1.7377159634566994,1.6792796522446762,1.4595625571338366,1.3905885148529913,1.2054546984371268,1.0109748360796256,0.9919492600091799,0.898619440957634,0.8693930026840094,0.8942992476659812,0.8319654829625909,0.9246753509996196,0.8343193474545783,0.8496484878027822,0.8493408664787006,0.8522579357961634,0.8508459715817983,0.8822425990461246,0.9672826494555391,1.111645340625532,1.2182583477714874,1.3293880072691828,1.4156674647622522,1.6813373339451985,1.777835216104241,1.6861481362153226,1.5766279930153744,1.480255644398397,1.2670838927940014,1.3504253297855568,1.159754021820127,0.9289626621989657,0.9022919607902932,0.8472015431308343,0.991753390956436,0.8630562491026702,0.8707703560348342,1.0844330754034512,0.9211606693222351,0.9295202954514296,0.9746091402878341,1.0329869191183954,0.9777882702019234,1.1098153381975089,1.0384376726575584,1.3017464054532715,1.643182530591502,1.301011888250484,1.0546288263787986,1.009429099475809,1.0699036214817137,1.0740669567118666,1.1852474480938817,1.1483092512168995,1.0289566539000472,0.9799219538224392,1.0193266348518608,0.9938561875689467,1.111781306952378,1.2940171009399235,1.3978200810387826,1.5095114371586262,1.2741384423053896,1.2663610526134437,1.0960608829409333,1.17239324626183,1.1340572043060742,1.1522472566863429,1.2054909898342547,1.1466279985949928,1.231075188254885,1.1956477767446816,1.2426406479791905,1.0998673793990499,1.2949409589981604,1.4467326771356888,1.5524597756302898,1.4581384501528278,1.3113333218064622,1.2664945504440426,1.3700144528195823,1.9895672182936741,1.5142775229379979,1.8440926712807286,1.4521787821073637,1.591111886336618,1.6388382643261425,1.7770690124329507,2.1333983566810697,1.9601094706830757,1.9752172808597954,2.019776172117085,1.9712450629038842,1.8817271690465756,1.656550498987069,1.6587402945780234,1.7353435491297364,1.6443163596081378,1.4245439412211784,1.4905230554905127,1.5219075163737639,1.3732580862075243,1.2710245498739101,1.3133020538264581,1.3475710951304198,1.3389180593415464,1.4586541519498755,1.5257405970007072,1.4302291771043742,1.5279020311564442,1.6619579888501905,1.618866477504419,1.5841086174964725,1.8759839173738375,2.0018501621329854,2.007292054219399,2.029911660501857,1.9746229766772523,1.955254456025012,1.9241940620747515,2.0940908149168616,2.13545077737855,2.0512738087696385,2.1095450626813044,2.350240012101678,2.3565808805908253,2.3261195575354225,2.5958091687574063,2.8133639395517136,2.6571099356675205,2.8977335599696525,2.298742905318448,2.0746946118052816,2.0090106935090484,1.8123685125473699,1.7228434053948303,1.652075817044104,1.637844147343344,1.6623956038812269,1.526550916891665,1.449917337059712,1.4463252973969776,1.4439835873078875,1.3490424616597358,1.3209670352334846,1.3102605847753497,1.3693270462796323,1.359127510919779,1.4673093790098182,1.3616136686967808,1.4144766968922524,1.417032182726044,1.4791909770480243,1.5312133881302366,1.6772242888004276,1.6201720683599503,1.5703227125100954,1.7914310770181776,1.8732571820173687,1.7989060018109433,1.93646485900789,2.2061644954894812,2.3319670536404407,2.1303605151890794,2.3940782519144963,2.517054698282565,2.5309523241424117,2.501532127107016,2.2856480108723938,2.6732874090307965,2.4233783710737784,1.8750727223597183,1.6281165904729993,1.5514204328124312,1.2350461456163806,1.3091189976630577,1.7945400374224605,2.2489041566629644,2.317453831807304,2.109046383846113,1.709462643242605,1.8383328719250172,1.405985086845152,1.3656744430557082,1.4276684351175404,1.3388394056410564,1.2970129769660803,1.3237114317874588,1.196574799167221,1.1908365344596212,1.241532361150901,1.226214274045045,1.387269813977626,1.8075203162960842,2.1803169775221996,2.955500740878251,4.5988952268497405],[0.902286780752204,0.6791012702205341,1.0542761468804622,0.5074195648949612,0.7098755674164205,0.5632596511150194,0.454953358149098,0.45742294745362805,0.4582094447425013,0.38018043152156394,0.3880045588766577,0.47915152468261096,0.41211616973710374,0.3900580628057475,0.42570524646838753,0.43080026517357684,0.4730895728652713,0.44028453958121205,0.5508589277552981,0.5432332920982794,0.6520463335664871,0.7260572153258537,0.9144439113910574,1.017693017129514,0.9770852277441084,0.7296164541670221,0.6183475000147971,0.47602498233076856,0.4807208331298157,0.4711212821978146,0.4706933403838606,0.4812635792921778,0.5349477811615516,0.5050845385351181,0.5156277886738766,0.5121631394792624,0.5777530011518668,0.5530722674290365,0.6069728628889886,0.7377652002744881,0.7712466623881183,0.6365784748316962,0.7290363316305264,0.8760742858441576,1.2014456094039871,1.5936573581151248,1.8554984278725595,1.107749187684691,1.1324995646589464,1.6543676913171645,1.3243559564187095,1.7232196885358084,1.4401805370465424,1.2868667404172176,1.749574413391551,1.1349994172991633,0.960076011148467,0.9627022971900231,0.991532162183443,1.2671175711015954,0.8257364153270637,0.7260541227429503,0.6147213090828874,0.7419837674804337,0.6710189163154905,0.6090474810093282,0.7402130115022302,0.4947163645619396,0.6285438662654796,0.7616524113504767,0.8823999451249935,1.1356178019216812,0.9034180708966187,0.8269068058936591,0.6076817974083407,0.7884314451340707,0.4856149273583764,0.48966391977079793,0.5607726301632401,0.640568556540296,0.7263694722088678,1.1289289423537807,0.8873994328837025,1.171116710998056,0.8739738592362586,0.740112851722677,0.6512133958465873,0.7253184564859149,0.5363800185753388,0.5814877902609382,0.5008856636567004,0.7345206647125753,0.5894792441101885,0.4610032050099858,0.4618260100964432,0.5640495986354425,0.6273872222569535,0.48791584301298574,0.46889464724172725,0.5872667628899486,0.5345040341955676,0.6666421924112541,0.6169514420837942,0.7374730766645522,1.0402031993917604,0.9177055067992237,1.167910955399428,1.3148544316159383,1.2350666812351352,1.0017882656918395,0.8895617605697207,0.7021418073805936,0.4799988070136804,0.5072975390824996,0.4229803238846304,0.4230538210342811,0.4662265951807015,0.49871819791733746,0.6504479233273367,0.45620993715240143,0.51038183996432,0.45952003889168597,0.4699323562612462,0.3965271050961325,0.3986977238744742,0.48411867811381615,0.6055169084935771,0.7500410784618714,0.8905574332765086,1.013986979748902,1.3214227762889814,1.4015859073130017,1.3506469132886472,1.2072811252245583,1.1322142209094246,0.8771822742903455,1.0237827216495534,0.7996131510992126,0.5491175476833068,0.522762897771761,0.5850870326140348,0.800861823843394,0.5645591945805786,0.5063174574873776,0.7174243202113505,0.49671750900809786,0.4960993413656153,0.5186437152971549,0.5304104262310131,0.4623522375769623,0.59540451650637,0.5106869050921388,0.7535190306891663,1.3017128962486189,0.9802082731958176,0.5315765776846739,0.48375662925271273,0.5413502198763213,0.5729278698822601,0.6997720522860441,0.6975018050291248,0.5886978414345124,0.5985754364091385,0.6513190491071144,0.6881404020119667,0.8795884771681947,1.0151572892687803,1.2003727073613344,1.304819196858077,1.0164644801844653,0.9721736230082838,0.7501607250393404,0.8115896286520466,0.7382935820483406,0.7204887503493707,0.7527678931674515,0.6790250929973866,0.7392622007983055,0.7512946022793568,0.7982948327567521,0.7946368663333858,0.8740654910215487,1.0735410953200824,1.2094082301648055,1.136243248721826,1.0162240451939002,0.997901376390196,1.1925421310942206,1.8074318867035235,1.3047275284367277,1.6531600073189787,1.1971876388159648,1.3878190374398365,1.4194754411184836,1.5355205658768805,1.8974722747744828,1.6682724736358368,1.6464023046247676,1.660334199054061,1.6017347136095277,1.4727281959109766,1.2121424606840425,1.2023675024226654,1.2759409991127708,1.1846194086128479,0.9639922303026331,0.9971821785169974,1.045753760287451,0.9469274222377774,0.9089120858893399,0.9747724194857315,1.0556056677465957,1.1193454002932384,1.2882309282169206,1.3863258935760214,1.1721229298482259,1.284237020231736,1.2029847585333584,1.1550788119313493,1.1646940316496028,1.4397170465721723,1.627234981895434,1.5834935043037601,1.6536897051558423,1.5857811054905453,1.5661497593436213,1.5371864508647333,1.7419352459191142,1.7662780530356914,1.6595855260324037,1.7490679312112474,2.0314033828507982,2.0071447220064487,1.989678408091779,2.372321516761744,2.5435571632460476,2.3398503362905294,2.6822913687039875,1.9125614854318715,1.724214372312771,1.64832543653493,1.403675200786161,1.3047454420374152,1.2325878452697066,1.2551937902169905,1.2281240981181993,1.1354748940373933,1.038169547082631,1.0490975473501143,1.015865461241386,0.9478476782823039,0.9472193598960824,0.9229794774221842,0.9716556818555085,1.016562496007533,1.2101956654233723,1.0389352430069698,1.065499345384047,1.0371423521457548,1.0664272795268992,1.1012413416266638,1.2475917302045838,1.2005419260966395,1.1165955858083505,1.3577920383031656,1.4364652795902924,1.3470563382610032,1.4889558692140417,1.7961739233868523,1.9064626921673526,1.6468769769233977,1.9835944196171702,2.092627793045018,2.056738885769216,1.983118655770649,1.699289772521266,2.1832691243735964,1.7404888163301393,1.3433418289596697,1.0629035056887284,1.0108653289360725,0.884574039910118,0.8852047631268872,1.1457812308516806,1.5972152095219505,1.8140456603937574,1.6494405175130362,1.2066087040213844,1.4233944582873894,0.9442408188164306,0.8739975074667705,0.9338868274696835,0.8789259818035,0.942866950165288,0.8332722344566104,0.8388283966696725,0.7846654434632538,0.8865107921210194,0.771308394089777,1.1990645873469452,1.3880727471490761,1.7100459681163693,2.2968297187087443,3.8572293109350437],[0.8766414238427065,0.8185416571004945,1.1740577061342876,0.7136872586754421,0.8597556008254609,0.6437247029923676,0.5063039443168275,0.5469236315783472,0.5508003545399073,0.4749685814338822,0.47955466775208905,0.5550511921414146,0.47078028368810665,0.484193079019359,0.5244227811227719,0.4890086534142916,0.5264558941072236,0.5130268758522128,0.616820070421726,0.5882667930728261,0.7062619395340763,0.7875310233359104,0.8953629885755071,1.0125603265445167,0.9303693473440613,0.7595267520502367,0.6251946915267993,0.5124054747270128,0.5058016716224369,0.4938116371002091,0.5551409217369251,0.5252602340450706,0.5573929519129408,0.5174373830938727,0.5186376153566413,0.5200378804733548,0.5357222592464231,0.5155940232392908,0.5672482061798908,0.6711194848595227,0.735183032457322,0.6345867294341275,0.7150595204519389,0.8829052522410167,1.2182297344593387,1.5751946476998562,1.8729828800140353,1.0867140039297682,1.1262717339873964,1.638198800900018,1.2736280868961714,1.6341846547471166,1.311201403713615,1.1828552505925722,1.5732342907219643,1.0034107675720727,0.8930391945815367,0.8828071898697653,0.8593995784708067,1.2102229738014272,0.8342621362094527,0.75539934686989,0.655786452404719,0.8295455955691218,0.7411064704999194,0.6778560748784889,0.8350796436795279,0.5787716668378481,0.7268488438426693,0.8562720965396908,0.9494942033340321,1.2270406653874568,0.9895856492011109,0.939801449989586,0.7022441519456327,0.9822517542263736,0.562217106466363,0.5536465273846106,0.5484260921091432,0.6360300444622925,0.6221211903414855,0.9848932926790841,0.7833558692002189,1.0313979091488001,0.8323093194653052,0.6671592686872245,0.5854206527650504,0.6270576316772251,0.525487556054772,0.5495054173465124,0.5670491486872329,0.8590231172311741,0.7130034177045355,0.5673867685045904,0.5620948981612424,0.688408343200504,0.699029322271463,0.5733454618701409,0.5712122701664007,0.714606057794746,0.6015102197180294,0.7483003481096806,0.631335662644631,0.7111161630904872,0.9932446951280938,0.8969726254112549,1.1645250710316102,1.3246165942346495,1.2988596509979173,1.0739704625275623,0.9793265899260238,0.7515652435413065,0.5558131632584551,0.5649041642554676,0.46365373304123403,0.476087732176994,0.5292277033354964,0.549205937022964,0.7429990544366464,0.5400098440062345,0.5930108090734373,0.530273444671935,0.519190215234196,0.45458661157256064,0.4849033902580272,0.5726958831932646,0.6977533214222077,0.7945000867364974,0.9412385410970635,0.9982694778948759,1.3119153585855825,1.3606633825939964,1.272388828223525,1.1322668590090594,1.0838602065438674,0.8913830764997743,1.0692549729388428,0.820678172949885,0.5620869792135266,0.5279089345556569,0.6032018866084062,0.7659861030183805,0.5913727450384467,0.5318369043044704,0.6783255500641879,0.5101623437799516,0.5163721322472474,0.5540517652489968,0.5691929220555622,0.526858100066239,0.6637151043821226,0.6120002051078675,0.7991159258248194,1.4560728741411781,1.1825437532410852,0.6614547062446903,0.5833224629813999,0.5960938795376762,0.6086007286013729,0.6962169707996035,0.6904732498573185,0.5797713701571661,0.5935253243394668,0.6317927213355948,0.6750728891006481,0.8461649549816802,0.9465869016839688,1.1445885873493329,1.2466421709068496,1.0187616627788003,0.9552860092632597,0.7437554493169384,0.7805376408305492,0.708794574365489,0.6737227060773543,0.713843212308952,0.6719082079314216,0.6846127794619654,0.686799281624479,0.7280979440540171,0.8047658948436286,0.8266048267289116,0.9924385072535752,1.0904211025696684,1.017075572025393,0.9250908570978883,0.9505786617750633,1.1923424800721898,1.8581263320012824,1.2870361238710506,1.6138447006901173,1.0992712696516524,1.293954152425055,1.3316482361250248,1.428544968467986,1.7779171749257356,1.627070426147587,1.6106828534761715,1.6467442667430572,1.6403767642214715,1.4957684094772115,1.2695572504056964,1.2945155176507208,1.3747391393893544,1.277124930736637,1.0940091124557276,1.1703434312091263,1.2075526238381755,1.0850269158793386,1.0317498123527415,1.0995078441666666,1.1596226667421938,1.1968289289132075,1.305876912402817,1.3978430446298078,1.2831313282086563,1.3967515289286065,1.4188830029211683,1.3326548816968908,1.3290764063208984,1.536881542749219,1.7421613826658116,1.6808687901279227,1.8063131722564785,1.6342113151661326,1.5697369912659966,1.5233558647391727,1.6834004539749234,1.7253630326599545,1.638776580042145,1.6909547147309014,1.9613493674189637,1.972234492788319,1.9271976376435873,2.2618295062667633,2.45456569404959,2.2925740361099733,2.6316584071465283,1.8865495915556556,1.6752748256886665,1.5844044401720583,1.3780438555027528,1.2736893005622956,1.2338662226999357,1.2579352066153326,1.220442528171921,1.1764808263758024,1.1104301758694575,1.1347992575360213,1.1148447287242684,1.0804203865880642,1.105010162840477,1.0492982796684116,1.087285963535391,1.155965003672189,1.3076575853154022,1.1566858927817323,1.192435698167731,1.1633314581438796,1.1777923687471215,1.182475422105033,1.3046203687061022,1.3086224748767532,1.240093811886823,1.4155992128329324,1.5154108055806106,1.4671928462575672,1.564710013042648,1.8190752195671047,1.9862579584286852,1.7587446868514527,1.9891774860747309,2.118005055743219,2.1508456448777067,2.082170782391174,1.8786696062308021,2.2976571703796145,2.0162135273021686,1.6307374824479313,1.3845360093924883,1.2625889308828158,1.0114149574513431,1.0980171637387752,1.5127575166832659,1.9115741570376532,2.060040194670305,1.7978601166928172,1.3783327584724898,1.4867572300332772,1.0682207776595405,1.0075799644004544,1.040228490984572,1.0237958042264856,1.2636145289473113,1.012488013216713,0.9439457943165174,0.9634386717634458,1.1276225306085415,0.9052042496819331,1.1786165804283855,1.514755939968311,1.6405838631807856,2.0910359552470332,3.5579919159290228],[0.8461486353215267,0.7829782038091664,1.1261837455232684,0.6887229491660357,0.8094959697794548,0.6385786600228872,0.5180177729790827,0.5582275993772496,0.6002184827060836,0.5549799070318402,0.5906341996404775,0.6478445702099361,0.5443316268890964,0.5858585426937201,0.627276755248721,0.5719400761368678,0.6248462153467066,0.6104665835463647,0.7085972578278077,0.6772704179275326,0.8038122842380409,0.8825603200475375,0.9474892440568132,1.0612873495667539,0.9746694735987358,0.8223166134026596,0.683932148075176,0.5844388415033399,0.5835986616992621,0.5707214831165512,0.6501588732326369,0.5992799617529533,0.6354983872194828,0.6063819643620655,0.5907375078685929,0.5970760936444528,0.5786229828148467,0.5961923156888715,0.6016698561116863,0.7098297504550095,0.7921592282064933,0.6963410508925344,0.7849008102553044,0.9450885236482082,1.3028073601770596,1.6401006984199775,1.9551025299230094,1.1744812005616145,1.175142034918429,1.6496359267982885,1.323894671249067,1.6472119583312947,1.3197995024434621,1.1910021046385486,1.548470224814097,1.0303462441173137,0.9543735585014219,0.903494513161181,0.8747627649272072,1.2585710263767467,0.9163953034041903,0.8712286134546373,0.7795633193005977,0.9551080951473501,0.8689043133752462,0.7845612860672629,0.962904584783624,0.712770039031749,0.8624529016323002,0.9806467808000602,1.1072845128513236,1.3625049430359197,1.113364357238041,1.065376269131046,0.8414672331259723,1.1363602838666937,0.7008219004025527,0.6752303649824395,0.6470030581749197,0.6996414448579751,0.6362091168883698,0.9504773670389703,0.7808127738154461,1.0273003770249627,0.8351928801442067,0.6616350238572545,0.6177305955669172,0.6419625027345067,0.60001739779766,0.6256233130009563,0.6858481989595823,0.9711677291542037,0.825376700263631,0.6635233014239958,0.6563392127558543,0.7914516176751798,0.7901532601492364,0.6751496437210636,0.6552757922991268,0.7536550149236935,0.6323079908407815,0.7037946975326154,0.6123007226877956,0.6674990687099958,0.9420597180862953,0.8400172313716948,1.0854568740933304,1.246902793880804,1.223079645932488,1.0216936658158533,0.9083206233037999,0.7029373958251135,0.5366570322981578,0.575410824596489,0.5466234518767884,0.5709134742565447,0.6130099645685848,0.6274355063991023,0.8160269122525845,0.65897390578123,0.7166638146613917,0.6601714744716575,0.6332438889889573,0.5495827516374421,0.5496970449102173,0.5744648091742424,0.6370390256288361,0.7343133697531736,0.8803806463467699,0.9538614193268545,1.2557827284477665,1.3023463476988586,1.2228116435141174,1.0759929734949354,1.0323818888114478,0.8604740013512109,1.020944385965081,0.7963620556776003,0.5756228343921962,0.5635113308984222,0.6376690103566035,0.8194338238246764,0.6545898826473125,0.5781720744569501,0.690263920440545,0.5703092682340909,0.5670886620920242,0.583856451909002,0.5564829312720787,0.5303257782963663,0.625608587158716,0.588260290538096,0.737349873787443,1.425233247478343,1.2092682412877176,0.6660716159479154,0.606273815417029,0.577578664664349,0.6067144166021788,0.6567467525158304,0.661123320540774,0.6103702293484321,0.6145404006657297,0.6499230851649033,0.7102260411283051,0.8564758700288773,0.9215299034880475,1.1260655350764044,1.2259562668175432,0.9815829752483277,0.9213337470171916,0.7234752852857856,0.7520970204000015,0.6919232814313916,0.6528772819971819,0.6792947096948513,0.6463570065939775,0.6590647963711299,0.6589416467030996,0.7001355182979967,0.8365175244092062,0.7852982256662537,0.9330913539720533,1.049740866223537,0.9856169497264923,0.9277366329974407,0.9699699511464565,1.264496289999374,1.8298289947494109,1.314408528124568,1.5926997392861866,1.0857444321382492,1.2882311376935667,1.3272431630573942,1.4349535641418545,1.7957259286456335,1.5892669974225684,1.5663746637558764,1.6041689883886885,1.5957114430597905,1.447744867827392,1.2093388067088942,1.2293830135535526,1.301254734089492,1.2100916324861986,1.0274566192878039,1.091077498949683,1.1224958732383572,1.0056821583290048,0.9560392556768851,1.0166675419234366,1.0776999428858065,1.1289892044860919,1.2504818244239395,1.3146467183334591,1.1873302085120105,1.32164436594911,1.3386313453539884,1.258149712622165,1.2540868616071783,1.5319900176429615,1.7223583916107197,1.668434178412134,1.7193479907162035,1.60824587755464,1.5567732898928948,1.5078961099436534,1.697704142424429,1.7520957144605736,1.6295791428526838,1.6922280084519827,1.9948950797044143,1.9761849002144338,1.937110720533663,2.3400721000099365,2.5145306493690103,2.3080993070296887,2.6558449184040205,1.8603897461759358,1.6624985226458995,1.570781073690101,1.347612066045891,1.2367195709907495,1.1972888347730812,1.216118562564922,1.1719311362020992,1.1241500372426658,1.0500487041562474,1.0709027552913206,1.0495218353023312,1.001617963185349,1.033266055321583,0.9853397032199573,1.0202177645323773,1.0848331168016543,1.2492543488796253,1.0892535970383435,1.1253487835698512,1.0932279735724406,1.1133394769243654,1.1235606489248828,1.2565875547854282,1.2539710607283838,1.1689486131270679,1.3731699074350527,1.48486922843279,1.4157445460571914,1.5124066435544725,1.8197155639290912,1.9839808870770763,1.7094532786062226,1.9807463370110305,2.1244049513576035,2.1444483746979066,2.0485755670826364,1.799868520608601,2.2897578604601163,1.9193852463798537,1.5468942658899045,1.2624253717742693,1.1596342278106626,0.9217387439985396,0.9752787772300645,1.3737672442127302,1.7493420239698705,1.9147779576398785,1.7166113702648544,1.2808942687394103,1.4222081373817954,0.9899210884087128,0.9639821257915445,0.9764429118508325,0.9546605996150777,1.1817873679961046,0.956244805911475,0.9160796477520148,0.9261631390637671,1.0800368922227674,0.8745537223564016,1.1664597427454377,1.4774413863746911,1.62340743745952,2.111684883407014,3.626036745628023],[0.8188221662560363,0.7643502140535172,1.1055467675137838,0.6963141567422251,0.7743927437406612,0.6857608873188735,0.6083458848689272,0.6297794647038923,0.6987661518189422,0.6822593315971408,0.7190932483052507,0.7503273363767458,0.6837588114026321,0.7278228496806814,0.7771952530380185,0.7204646120460287,0.7765297378150723,0.7721491738847217,0.8542188350329947,0.835542577255238,0.9647754316907053,1.0521114475369289,1.0912967439383001,1.1858816227473523,1.0990660468051874,0.9709860177850493,0.8280249892265494,0.7412561928142859,0.7318017288036892,0.7264616193167299,0.8016511359830771,0.728357975846516,0.7598312084263397,0.7580189817513977,0.7341088905380028,0.7590876428884288,0.7017870236979796,0.7487859778080742,0.7352001619887465,0.8375936764352403,0.9345950528977092,0.8633624771636582,0.9495139270867877,1.0926406378871782,1.4550286746827141,1.740120912011585,2.063654999494834,1.3285788917386003,1.297799764172056,1.7068130423655947,1.4350257368947816,1.702619445752757,1.3887726956554474,1.272725945522988,1.6050555157723445,1.1335177352087369,1.0773074938544955,1.048098598942437,1.0047913973079912,1.3957861674433474,1.0616310848526465,1.0160079180887704,0.9390712538168308,1.1275773542462095,1.0479780575290334,0.94482661465456,1.1061209566983663,0.8794420855123902,0.9929499625701027,1.1138443435542162,1.231091725468325,1.4873437837946952,1.2096900982402503,1.1860721569205503,0.9834197154736526,1.2513456102232132,0.8743403731331508,0.8367473970336156,0.8163441335798877,0.8679212012851009,0.7541575324289478,0.975466071481858,0.8677830297563346,1.082027644475425,0.9080918521906347,0.7509235261768162,0.7439231950286174,0.7621255359397204,0.7664944974206369,0.7631366903755894,0.8445399994315261,1.085260405895804,0.957436869455094,0.8041394879350172,0.7945314336738752,0.9185019386445374,0.9101517243098238,0.799153007787352,0.7648206732341939,0.8175468255964558,0.7375470721484734,0.7841841560528686,0.7150098616661271,0.7199771466029015,0.9323111174578974,0.8257449098656031,1.0434727837968942,1.2017589159337232,1.1629732661936012,0.9841120947494402,0.8633910636688724,0.7391689781874927,0.6296145695344658,0.6806965963741521,0.6843956513107287,0.716841955629571,0.7660275127065099,0.7965083843636793,0.9478882951825691,0.8128363073821551,0.8652874767249912,0.806346053014368,0.7792029679325266,0.6935666160846208,0.6793326314467105,0.6752083488622816,0.6887521233411279,0.7694119394067457,0.8843371254152691,0.9657814080440669,1.2272780213279744,1.2497684850103,1.190160450691154,1.0623844301350156,1.0391720765561303,0.9166699024887929,1.041253902462296,0.88169937093953,0.7311679363628473,0.7127080334797551,0.76714022280279,0.9445883144476485,0.8006007791296613,0.7312514167495074,0.7998166837514443,0.7265279870979984,0.7140337690546205,0.7179394526927567,0.6727882684720015,0.6414314846815394,0.690023513195134,0.6338474848732147,0.7309838229593761,1.3477554681607764,1.2269039357253846,0.721975585010772,0.6942810139618478,0.6699031857281768,0.6945016843761025,0.7220289518179378,0.7417065773612019,0.7318252815553642,0.7484999320553873,0.7938473499631881,0.8760341880236718,0.9626016328206496,0.9647851221723036,1.1507934103501938,1.228594526760573,1.0169969073275575,0.9655925274690818,0.8257792367130107,0.8340056641189532,0.7841075151004022,0.7500038033447327,0.7590070095780372,0.7380178315473456,0.7352771420769157,0.7650670582117116,0.7815440783102832,0.9565319365014693,0.8225251057295633,0.9524791374766289,1.0493949406102492,1.0022230656801272,0.993005295815658,1.0522885413797247,1.3987857746854087,1.8558259852342502,1.3927247143325612,1.6015368607276075,1.10996508127464,1.2895946758455041,1.3333686410363703,1.4177316591638935,1.763451885836893,1.5552000794654943,1.5274609828244516,1.5261490094907475,1.5368172694041233,1.3657107567547353,1.135435436296581,1.1558020455106186,1.1901789738396524,1.1040926564144757,0.9348276358433023,0.9669734253138569,0.9934001746516309,0.8971580418910565,0.8783690627675961,0.9254744611256058,0.9795976138571022,1.058337747303125,1.2003577990798946,1.263680385550582,1.1204242551156658,1.2238141080580014,1.1833509322901865,1.104532169328929,1.1172320597265795,1.3705769182128598,1.6129473196740503,1.5187100334877843,1.6038326582232132,1.495570235427364,1.4592229133763757,1.4235445626887564,1.6255494385261657,1.6516054426026634,1.5357082368249517,1.6078136027418144,1.926364213356239,1.8737474223698372,1.836089840821964,2.3245590340001723,2.4497886621748717,2.1755932892032055,2.5905592696940465,1.7198372788218554,1.6062864368656156,1.5164964599506425,1.2711844684307232,1.1973315251474523,1.1262979553476984,1.2172685158027576,1.1403962532447782,1.061658425557801,0.982444314364416,1.0157121165859957,0.9523826414049439,0.8892958286356207,0.9298490998211156,0.8733703313512775,0.8936901836556407,0.9546782123668711,1.1347058094662257,0.9708925707146201,0.9958519774882252,0.9685704238244246,0.9893077073506762,1.01321474629478,1.1478487643552417,1.1243344344791812,1.045836323080657,1.2613227987601285,1.3501223730013625,1.272991461674559,1.3750804117401438,1.681986551494109,1.8029493758715354,1.5290135333033559,1.8210576039990833,1.9670771885722127,1.9555460159366216,1.83367772005844,1.5557295061312382,2.1312243139070803,1.677492704698341,1.351301500313918,1.0753351470846104,0.9853907876233436,0.8520872699647495,0.8635423547850481,1.1124783384701467,1.4488008982344176,1.675659666895199,1.5545867559360715,1.163775956837322,1.3469883712481616,0.9589714485862395,0.8781907920694623,0.9187873257242146,0.8762162107981124,1.1347917457878247,0.8993417015618154,0.862795824837926,0.8664092800817775,1.094627563963001,0.8130857925116302,1.1049512936829997,1.3301156284341893,1.5196529557353808,1.8420214672517892,3.32380893207723],[0.9089555445924337,0.9268127149794709,1.2295262419714936,0.8839912810377754,0.9267689093123369,0.8134598132727375,0.7537123888060477,0.7924531591658237,0.8577388017192261,0.8290563325419944,0.8736750705949814,0.8848840033700601,0.8146139925124105,0.860074088302429,0.9111468812025045,0.8460367980266377,0.8985219664970686,0.9061420730276932,0.9965672668616372,0.9925983957118529,1.1167722155847184,1.1882497186095988,1.2280074429490466,1.305090086949377,1.2157319517628002,1.11141038998668,0.9687820632830964,0.8798224795184865,0.8722471770274666,0.8671087124069841,0.9284356178152973,0.8607466303622813,0.8959723777834968,0.8963213875604343,0.8718957210070468,0.8955335057005593,0.8383783133584362,0.8941089879552483,0.8727708308641411,0.9639458329626435,1.0377031796563863,0.9860371957115005,1.0648524130839248,1.1820873907077238,1.521477181258621,1.7836841252399267,2.1350703813625045,1.4103007483038628,1.3936619534420696,1.7928636087773873,1.5139126388106823,1.762277288281767,1.4358153548919341,1.330629742028513,1.610170684823846,1.1974114829095346,1.1589375787821496,1.1348113103433688,1.0960013708134717,1.4794753975611326,1.2165974013554697,1.1816235042605707,1.123512274873098,1.2948879251705205,1.211381751925867,1.104722070252575,1.2808356618627557,1.0309075127951643,1.1173181655020328,1.2491742446539638,1.3329374795176723,1.560753479671641,1.323458537664263,1.3184004151918853,1.1269330475147445,1.415213214185469,1.0355375656625774,1.0051785352049154,0.9679084566857686,1.022832867347291,0.8870778516106456,1.0567647434219496,0.9757722796079471,1.1357565452663727,1.0156325178358396,0.8693425900992069,0.8864768924422672,0.8988159165158208,0.9122535234030824,0.8991884072048753,0.9824086009702757,1.2035361650975347,1.0867414757517726,0.9379035291498076,0.9220200205722588,1.0355756867163366,1.007701397927445,0.9299613726274075,0.901822845995478,0.947651865611643,0.8679110684042041,0.8605085927156445,0.8196499559883478,0.8267050256434079,1.025640821090974,0.9206843033737391,1.084238852265022,1.253736835193756,1.2317794285324148,1.0482219467766676,0.9589298244088805,0.8482697258504601,0.767260146634269,0.7986436171325941,0.8070795472158528,0.830954660101536,0.8822380631275331,0.9166669762182079,1.0709891584638846,0.9409170768071164,0.9870570787917021,0.9223397741523659,0.8830582559864393,0.8043547218856861,0.7938147117195323,0.7983989487072505,0.8036080389861135,0.8608483951443159,0.9688434924252237,1.0364002040575373,1.256902051724342,1.2613673564504155,1.201280287307642,1.0892010958079936,1.0872959030711753,1.0028605717006163,1.1158999731232824,0.9789025600707155,0.8561104998605461,0.8534331771273518,0.8914933986897368,1.0510619301150361,0.9172281807205209,0.8682564897821768,0.9097121907145796,0.8563149497670152,0.8397049631051785,0.8468463566218768,0.7931861456918655,0.7734044194447556,0.7984920945838775,0.7861754497044487,0.8673285947542783,1.5044211837141315,1.375874371380545,0.8573238133106497,0.8269349234334239,0.7816842416455967,0.8082833207485466,0.8227991959578793,0.8412646894759926,0.8625244617857192,0.8700617216649715,0.9130231137313478,0.9934475089738773,1.0590534514199994,1.0359651406754067,1.201468825482369,1.27892446533269,1.1030808587694407,1.0486523642507704,0.9271845093679197,0.9306976119362828,0.8909974815997093,0.8620495165024306,0.8699630680386151,0.8531048885119209,0.8574502262680129,0.8609934478664633,0.8800257150878483,1.0577994711708103,0.9035981818982667,1.0080665763489405,1.0888836284334982,1.0543399586040372,1.0786329073192904,1.153535174594023,1.4827980810522636,1.9551883703403103,1.5111004435493893,1.6619550309769575,1.1701226249767873,1.3335000436724644,1.3662609096719276,1.4141656126381998,1.7049121970026402,1.5396699805397294,1.5192276319392959,1.5311120505213107,1.566950839282892,1.3904873884274573,1.1788332618008108,1.2164953204394282,1.24230379177224,1.1621359983747894,1.0321496745723093,1.0780166063634797,1.0862779110040308,0.9972909437467229,0.9828655394361401,1.0335883521534648,1.0823442481685832,1.1428804209536383,1.2446819892923853,1.3186526407530446,1.2140993767000423,1.3178531760179157,1.2654884024224513,1.1819556825639133,1.1955679475696197,1.4181217743702415,1.637635140675623,1.5415166252173742,1.640253635502017,1.4923367772422964,1.4415132881926862,1.4182787019393785,1.5908879815293744,1.6186996485996248,1.514984852260566,1.5749971708104777,1.878144786527883,1.8421840476798124,1.8033247440884572,2.293908886850958,2.4030904112020726,2.143983907049196,2.5826545360320985,1.7176027338900641,1.5981645929562738,1.488005547343577,1.2665857568721408,1.1933597669099707,1.1597489365572613,1.23217303819884,1.1479169897786057,1.105318743094049,1.0433199576507977,1.0855969011032582,1.034276565691317,0.9988024967491236,1.0567766272725032,0.9861916941639117,0.9872835347939276,1.0777899684765913,1.234652456015165,1.0745409387511229,1.093332075291999,1.0533966651915454,1.060270206693983,1.0714230240786873,1.1720356642726475,1.1621272547811343,1.106144901705392,1.2824028734350688,1.36512454540691,1.3084905779716713,1.3970630874682493,1.6665167630654578,1.8114565491381682,1.558551279924016,1.8081113247293044,1.9372514550694673,1.9468420296043494,1.8371408793408952,1.601547691523237,2.1216710726734354,1.7405141031592,1.4404052213058471,1.2020299272228347,1.1079343560671762,0.966280587751154,0.9994938971076367,1.262034538695907,1.5478176018997525,1.7613757733250741,1.6113756290506027,1.2538891007937505,1.389703792269781,1.0629507408670624,0.9851044658698359,1.0053117893631054,0.9923698296887227,1.3172730892487143,1.0177250143892278,0.9601029506934929,0.9999721030696339,1.2264027297702351,0.9530649641933074,1.1669571833336916,1.4472606553861096,1.565946741989843,1.8225237688690574,3.1438042914302446],[0.9072300155744091,0.8776437767331479,1.1395281678738531,0.7862154684155189,0.7821474714239405,0.7476515765795211,0.7296255942273505,0.7634028756211932,0.8511049706848685,0.8441644886834802,0.9005246074187571,0.8833445580680356,0.8609790253670453,0.9289258051099505,1.0232086615839389,0.9383386265256789,0.9915738538025509,1.0142268454938093,1.1366167013490178,1.0920321869900627,1.2461800111239416,1.3276315367172808,1.3659872044406074,1.4553043554534322,1.3098446053906536,1.2258692688589632,1.0705085302094481,0.988220857417108,0.9721640216645593,0.936837870617704,1.0134516094633796,0.9210479696672531,0.9773563975944684,0.9957734851196168,0.9511617410918375,0.986082593466593,0.912744211089274,0.9895818598724759,0.976095508909609,1.0265528165140478,1.137958784616226,1.1050893822487429,1.1880105938545342,1.2838552098828866,1.5809903900323183,1.768330194468566,2.1616820829758527,1.4846092257813985,1.456025102934069,1.8217503027507929,1.600570287058164,1.9173873635687448,1.5352442018701618,1.4216184195582995,1.6597794151675664,1.348135014167153,1.280803529857742,1.2369874189359438,1.2371438275464772,1.6052860498344308,1.3306286734522004,1.2908200992830638,1.2562372508168123,1.4417352017224951,1.351110599534868,1.2471995744632967,1.4077541292719107,1.1698360853317158,1.2686893026972506,1.3581120117967866,1.4552661298837835,1.7110822594527453,1.4572533593809296,1.4709376406256807,1.2452303489882792,1.4659072751564086,1.1929533046340224,1.1535520818658367,1.108248702724499,1.1402940316286712,0.9873034868587114,1.063582801663801,1.030027932328042,1.1637269307844849,1.0551321631532478,0.933858463176128,0.9693210326475832,0.9835560595992274,1.0164628108369609,1.0346696040654928,1.0956451154013644,1.258409679899731,1.1913971649327586,1.0610416688760724,1.029162097482473,1.1623740257233466,1.1499310022049334,0.9975850575004747,0.9330018311593736,0.9572267549681363,0.9032589927450376,0.9062067972993822,0.8352299458574336,0.8033687191772797,0.9751534760342411,0.841224734008525,0.9792593198769556,1.1525414160893146,1.1214025475782585,0.9457027097592756,0.8463614444515638,0.7773177346379334,0.7503469061929587,0.8003457730984068,0.8266093167714555,0.8776175930075207,0.9434232743566646,1.0073867257773605,1.2183402216238501,1.0492730912993429,1.0730808615268157,0.9616473180637277,0.9320331143730071,0.8230058561323053,0.7913184402174014,0.7907014062558338,0.7484402315467652,0.8014980254233366,0.879496596789966,0.9647532710100847,1.1975004757630483,1.1916182135373043,1.1780349804707702,1.0676556349641626,1.0632900489962052,0.9618871282482383,1.0944376467854375,0.9803614781321062,0.9134261609431761,0.9226381555640815,1.006303906466958,1.267378228022802,1.0897697191498297,0.9594031031228426,0.991955942538427,0.9326223624739557,0.8871084379034994,0.8716371377137224,0.7939730993725311,0.7946697925742702,0.800731292970277,0.8176701065134884,0.8674632030365084,1.4902507203742832,1.402640594062054,0.8786545973739448,0.8638934394763836,0.7864922417167676,0.8143723238423858,0.7911405523934374,0.8354744834069964,0.8884947414582504,0.9170436040369594,0.9750183642950516,1.1043943032957215,1.1517075483598376,1.1355847025903585,1.3319856341367213,1.327139112734794,1.1416916264779573,1.078363789257381,0.9644657898567024,0.9563815753980273,0.9132455072870527,0.8888161130426319,0.864078240228768,0.8895523175474612,0.888132155673602,0.9054504022961593,0.9014477668276137,1.1166812747820534,0.8903858717599892,1.0384821066374899,1.1086048904058652,1.0798420046549655,1.1269852633667166,1.1606310553868862,1.5888365717729431,2.021402132647128,1.6743132531101583,1.8489817873693986,1.26322844526874,1.368079423141989,1.3453925492276477,1.4008582828326284,1.7231708754512234,1.547099639909982,1.4969046138812094,1.4485037332888617,1.469400675135357,1.2975688530307352,1.071217429010907,1.0925480383876973,1.1229756564478812,1.0445409166371689,0.884406725764926,0.936790828574901,0.9715414977952578,0.8755653836776646,0.8786877391048524,0.9514340062773265,1.0108350235246224,1.0761022900597936,1.1954534167261357,1.2954294084409366,1.1726569228489283,1.2651549578926058,1.2044960853115587,1.1080424095043064,1.1266725809511688,1.3546328637001859,1.6105765419436737,1.4854355320982573,1.5609326737578588,1.4555977324739071,1.4051356723627393,1.3589255485020644,1.5857429099183908,1.6041093712537264,1.481102606133351,1.548887859122384,1.8644187337213807,1.8140485456885072,1.7628076580494443,2.316277628647599,2.41920859579077,2.0982224792877218,2.5231492773173803,1.6141039076890624,1.5461745499447126,1.4664569394264015,1.215931382454861,1.160092377978801,1.085972145611324,1.1907495624130848,1.0888831815322693,0.9984653588942557,0.9324845726828478,0.9699757649487621,0.8989810880667176,0.8692887737533561,0.9437855505991034,0.8703597911381894,0.8914344290616731,0.9860930050312083,1.1568210890765043,0.9877366038108906,1.0017155314033221,0.96092515246988,0.9624127224571368,0.9674282163860942,1.091559805236615,1.0949040797337508,1.019232756648902,1.2096851356631786,1.3089808001358376,1.2438089416352391,1.320351897721314,1.6204414631697797,1.7640641124137544,1.4811773326659368,1.7509710493601418,1.9114236704953944,1.9015706848021745,1.7552676295732408,1.4877858110602686,2.0646928591079985,1.6219776311481646,1.3690222974942612,1.107606875579608,1.0037210153205804,0.9075159242839966,0.9388921259898702,1.0799501852242772,1.3602589766420186,1.5707723018826234,1.4685923260398597,1.0984362987937082,1.2804917062618386,0.9267751041752817,0.8405603468066529,0.8735503014275988,0.8592817359064093,1.2092849059496629,0.8964168085454318,0.840119475169644,0.8627521590371862,1.142584087385562,0.8447628319368062,1.1358961449809177,1.323426612771433,1.6210711522630947,1.7213938360183914,3.0323076596221807],[1.0058511926679865,1.0038938121670877,1.249767946298715,0.9293504209007043,0.8923865554068515,0.8742694854472595,0.817645041733167,0.8608778370947566,0.9460911669377388,0.9009569211697952,0.9512953572122216,0.9512599167083108,0.8956433401947691,0.951314476092096,1.0205084713247699,0.934946115212442,0.984739595831857,0.9937147285918524,1.0933426575868115,1.0697399448193659,1.204966064149483,1.2736999988226516,1.3085174579714958,1.3959422458124966,1.262050563296152,1.1902538948468113,1.0355869098224897,0.9374049363979989,0.9432899392963028,0.94239130553306,1.0165611981675695,0.9381835538260455,1.0043801611428915,1.000546226567965,0.9464763138219666,0.9652800982071255,0.897751871934936,0.9566906017779108,0.9285642427445543,0.9948312283422939,1.0936954190597734,1.0494092206141952,1.1234764671108046,1.2229647451066878,1.530283681167975,1.770712377439063,2.1475449843847207,1.448460147587171,1.423617045712558,1.8386009887236208,1.5595365932012677,1.8224144239317224,1.4565789401678289,1.3635484365641788,1.5911101930645173,1.261492704650536,1.216229947344797,1.1820487309956489,1.1594168110229646,1.5115902525295897,1.289583891825081,1.294945468573271,1.2451798442146738,1.421115509917561,1.3209199668528353,1.2192397045870371,1.40288001021254,1.148189834905602,1.2421512457215111,1.342089571303465,1.4475988333050274,1.6931504499806524,1.4432185250691305,1.441286608097935,1.23891247866052,1.504174239453086,1.156030358276065,1.1292206467563999,1.0816735297197129,1.1100603435839227,0.9513922669521946,1.0483722623877338,1.0015652962486126,1.0766147948378013,1.0176675003547553,0.8905451370369585,0.9467679503428177,0.9574733841997735,0.9973172610370581,1.010880370907257,1.0868367589058476,1.303714538641123,1.1972661109655143,1.0586220550454164,1.0316867327154606,1.156979789186538,1.1599619616000683,1.0429910932852686,0.9973062625959613,1.0208833578553853,0.9377307225721313,0.9454077456718045,0.8594490298020729,0.847173064635875,0.9823909817034148,0.8678505032563707,0.9863727951954201,1.1722750454204294,1.1440357831323675,1.0051487040098062,0.9154939644887312,0.8110699009424208,0.7991966157674336,0.813235369535609,0.8326857148890047,0.8448509539981807,0.9241607357911273,0.9590192967355489,1.15593302078147,1.0283171057997968,1.0763509975694476,0.9845743566375424,0.9206177859586329,0.8339508300147616,0.8206127374612798,0.7864712741503697,0.8022640121623568,0.8149958779979013,0.9011322515855512,0.9493289059437164,1.1482348099207038,1.1245257201997094,1.083708486558027,0.9839757581593958,0.9953770826056362,0.9296685085875978,1.056895449203654,0.9422016503402845,0.8506207555705079,0.8567601305773781,0.9165935332831491,1.1363733287570978,0.9962737326703514,0.9034172459493905,0.9394637970392831,0.8908036314288742,0.8479382927630552,0.8742527426434906,0.8059445673962866,0.8368761531246002,0.8848565555249854,0.8879126921927097,0.969539374054601,1.5626380902431456,1.4343557216297116,0.925494604610613,0.9134437867817152,0.8482746275362463,0.8549581032908524,0.8240530400422375,0.8192438694520525,0.8595973008141927,0.867656624214944,0.9146838036888431,0.9884080375403376,1.0484884906579837,0.997190707408031,1.174630097389123,1.2200482842410707,1.0585279046621159,0.996077353980861,0.8921227724724516,0.8914770491876025,0.8452698552443572,0.8357519813393238,0.8525936635696837,0.8856456195647625,0.8973309043459818,0.8611465607582351,0.8420670311909139,1.0113756595114962,0.851479583497323,0.9554888002967623,1.0189403323872281,0.9879750628023974,1.0754464687376,1.1611408130840513,1.5430461032196958,2.051367039657611,1.5843877038489735,1.7309832621953476,1.1859389598385242,1.2723294402417156,1.2776714944830436,1.3060381213137477,1.598564598484193,1.4507971015749346,1.4128987602135894,1.4226526783711266,1.4766576942809357,1.2858341546719076,1.0982776935791152,1.1360116984111286,1.1586822837042288,1.082745982020696,0.9649580592573125,1.0195579766084493,1.031258044171358,0.9584757651614114,0.9636150505668418,1.016154232753686,1.070458573924479,1.1271228062410243,1.205308527130256,1.3145809207017671,1.2335867528078917,1.3067165589384975,1.2596771258341695,1.164313083301271,1.1675661668320612,1.336584757161864,1.5769619084128421,1.4672131440880425,1.615536485924951,1.4183682807055906,1.3385724219838675,1.3202395675876037,1.485296115809976,1.507976997182609,1.4185263215924253,1.4718586707506849,1.7475086053869526,1.7259126717100295,1.6870491661685796,2.177746676576776,2.2830981079420254,2.0225364232791163,2.4597080045779482,1.6014044576109605,1.4952655221016,1.3967841194435666,1.1898919094483875,1.134027902547042,1.0993068371672778,1.1786213153181715,1.086181349070047,1.0351741091882347,1.003700371324679,1.0322139726758308,0.9761496122425982,0.9737283307544988,1.045706034664859,0.9673179876495157,0.973669890551271,1.0914737878703293,1.234405454771937,1.0759895132599502,1.0844268481106298,1.0251976392173159,1.0200049199633365,1.008060739765111,1.0857380246125061,1.1079921785727482,1.0565088538915492,1.1956782815545397,1.283883859291503,1.2518631458046403,1.3140976613224804,1.559264869234741,1.7221204315683212,1.4786293505820487,1.6911962802890843,1.816958605751224,1.856470326281464,1.7487282202400023,1.535256971869615,2.0720455316136803,1.7247567512178044,1.4394127272046704,1.2043653785559896,1.0888451757255246,0.9775198277779724,1.0406107569127006,1.2099522156109193,1.49655016004358,1.716787104496986,1.543485000518841,1.1833537870977697,1.29569330538856,0.9828623804642195,0.9207831982898858,0.9512924267870265,0.9625382594941494,1.3689205497947619,1.0077540163817098,0.9374646891012174,1.0098405994889605,1.2593467051449532,0.9794803451585335,1.210971196343961,1.445460363612667,1.736741266823427,1.7607731076182669,2.888117111667638],[0.82583123948351,0.8317231715000479,1.1690714194064091,0.7672685749528525,0.7827809591151761,0.6833738821530715,0.6362477584250605,0.6745168129761968,0.7469410560264106,0.7180759874316062,0.7625177982725102,0.7772526942351433,0.7188449829218742,0.7684322803690745,0.8310400984423302,0.7636462779025782,0.8447390344407536,0.8623800520753241,0.9686781680374178,0.966313823512025,1.1034032602666026,1.1895967853217904,1.2260018016885528,1.3138316929983862,1.2161129406394247,1.102981821865753,0.9425847416627451,0.8400926461277919,0.8206074461455988,0.7919436158908586,0.8572071922248424,0.778621390080173,0.8151497187730125,0.8207801792925847,0.8008317359484686,0.8397586007541824,0.772021597421186,0.8611315358491516,0.8364188757412668,0.9356448927806084,1.042785468877473,0.9817551552906324,1.0568722987679164,1.182171038247616,1.5339532273851249,1.8343661766232957,2.1662244054256385,1.4185554028163183,1.4015703707532112,1.8387912878452377,1.522078741543948,1.7648092292864863,1.4254560219345747,1.3153624527838583,1.5760569659175718,1.1991391880680573,1.1534567037765202,1.1213178787423932,1.0877819711125278,1.4627415931152623,1.208020785174809,1.1712878499829438,1.1033596545524278,1.2686121663422296,1.190782485591851,1.0969824046199244,1.2518728131460788,1.0011973666848055,1.0960956404609488,1.2039224299714488,1.3011696292196127,1.5298497652122511,1.2864207127446237,1.2925990216956902,1.0866570169801963,1.3663020183933037,1.0108237958921058,0.9671171669338421,0.9460170293086747,1.001625285123149,0.8440946503455817,1.0077996098382618,0.9248060061096541,1.0760067262607245,0.9731158517485712,0.8148241404438755,0.8491494112559961,0.8383992760926182,0.8702339785590847,0.8526086527077215,0.9314018494144549,1.1488100595055322,1.025969834455251,0.8633316438465067,0.8457096681306242,0.9667112884609863,0.9518547399208334,0.8355076857342533,0.7992880993654289,0.8486778572060127,0.7736891848942937,0.7779438233319106,0.7308955794299169,0.7198604404648437,0.9298902281093231,0.8047168187212468,0.9739162946717649,1.1683156439442421,1.1281681272947988,0.9567786398658924,0.8393858738261063,0.7359951316454018,0.6486672816854544,0.7087444177629587,0.7132722163790045,0.7615355786801359,0.8322926506912264,0.8905369701003292,1.0511164011906111,0.9031861295107084,0.9459692815986583,0.8580396988290544,0.8241221047558392,0.7157446348424371,0.6849421064970198,0.6945619475246477,0.6857786332970246,0.7543203872867259,0.8679256077458862,0.9431172729986063,1.1768825657939166,1.1688905045710896,1.134139872867614,1.0123588814114237,1.0242249274167325,0.940922602793896,1.0566900220214097,0.9296865989602682,0.8157205452323452,0.8239699631144328,0.902700126460979,1.0856188695149924,0.9254266914544671,0.8488967361352324,0.8806042497801708,0.8105330327323882,0.7793629707732418,0.7651022981588127,0.697703654083652,0.6645864913295946,0.7118784895769399,0.6849833340473671,0.7752418311730457,1.4066038272800327,1.3075638677574142,0.755198059847349,0.7288121770863106,0.6802617949328253,0.7089540448660807,0.7209424245507163,0.764238810600392,0.795615133202586,0.8308298275817626,0.8837400165271165,0.9793901968936687,1.083117439407007,1.0143422728392169,1.1877943536930409,1.2626598779259073,1.0776760050451701,1.0137466123932128,0.8890568368913623,0.8922931218039137,0.831752851697489,0.7926777151067357,0.7879856957986792,0.7776480031785614,0.7929584304532526,0.8021489956416563,0.8175548990498646,1.0227327847876544,0.8302957682636221,0.9656031229604992,1.0529241694219351,1.0093051649068125,1.062565422830734,1.134484592342189,1.4934972704265173,2.007316561251907,1.5183010561581385,1.6703191547633784,1.1643129017296565,1.3104014886779196,1.3360656755393885,1.3606721474659629,1.6439398745123783,1.4943694916008046,1.444946440354207,1.4520087645099096,1.4859138499446283,1.29025682336575,1.0624802319369435,1.1005978747674259,1.1299463145004565,1.0334862458493874,0.8789790507068735,0.9414921644439754,0.9561572683596271,0.8535547111644968,0.8510343857217305,0.9205676674811912,0.9755404022643358,1.02939480151539,1.13815497016704,1.2636909716258558,1.1668688674357848,1.2502627974651972,1.1914250915780817,1.0892336524112964,1.091534113542775,1.3079672982771093,1.5349088660387953,1.4414587997233674,1.5557282265473154,1.4009907918606543,1.3400701745825285,1.311900937165733,1.5000002718178125,1.525263251739746,1.4273082284319065,1.4889723042232854,1.7829311770036558,1.7557858413237162,1.7231722457067595,2.2139255441941983,2.321375244585514,2.062801965179245,2.5270396869909857,1.640279522765459,1.5139228828527196,1.4111493312878955,1.168528862420811,1.0915975022773983,1.0519878232784161,1.1335134160887042,1.0394407856883179,0.9878779424223901,0.9176245707959467,0.9568833066178923,0.8890272876196974,0.8508270034121445,0.9183538980030729,0.8394201671233165,0.8511121327869059,0.9499692783966919,1.1190310350527264,0.9533231214323584,0.9662448124387709,0.9293493793471411,0.9316838485546614,0.9382726009415107,1.0434771024168261,1.0484712653723358,0.9897369158460609,1.1720447296908876,1.2614942291290268,1.212812513140945,1.3012665702080273,1.5615959120856158,1.718044181211006,1.4639895668442255,1.703103431061438,1.8246911740295464,1.8460419418454088,1.7390002156571283,1.505138425633686,2.058614753685714,1.6992479472353872,1.3762910279896714,1.1296980606825395,1.0094104579325123,0.8839480931721921,0.959991276190847,1.133082527392179,1.4641688075852881,1.70377386586058,1.5292113629891377,1.1481108434335578,1.2941805883177322,0.9456390681003102,0.8301305013749342,0.8688561784397014,0.8514569723817248,1.2278255012641726,0.8858816837201076,0.8125250754989594,0.8620643769639336,1.132981027967053,0.8288217877683539,1.1320044786692685,1.3133369080192872,1.569636494294281,1.69137352503142,2.9679538684408424],[0.8573370315553863,0.8460569957135334,1.194228897860195,0.7471921420885496,0.7153732653703573,0.6817678838106989,0.643040153046112,0.6595675757128635,0.7240743299009927,0.6827536851681123,0.7283601298192589,0.7329328624282611,0.6979705134998639,0.733577603019157,0.8097033517031462,0.7359107557584492,0.8035676593412494,0.8374329843366624,0.9658948734086995,0.9372131496800119,1.1127749327419139,1.2279768499274033,1.244736251882335,1.3285249115429605,1.1727948422559213,1.0821181887928135,0.8863432696525496,0.7992653679439922,0.7776258777418733,0.7343314381700248,0.8231553011086818,0.7360525102926817,0.7901144452273543,0.7857029389214257,0.764340500757476,0.8056632612273447,0.7138026128156112,0.8292245876066179,0.7868376341453921,0.8909557940252323,1.0312992676721717,0.9670368954545725,1.058290470647721,1.172470040266324,1.5473960151967279,1.7789673821020078,2.161095810301902,1.4244893804781524,1.3742164238269046,1.751491756047242,1.5030814275001132,1.7638778307808238,1.4018877550286746,1.278898291406695,1.5419403233710203,1.2115127166405166,1.1554070147075213,1.0952223652249262,1.0638984450499505,1.5326620430878808,1.2292823656259175,1.1899003257141212,1.1074423974507455,1.3252575862985398,1.2333932080535153,1.107039496306152,1.2736038086056019,0.9949532354335794,1.0890597745072128,1.1838917245122178,1.3096389470159866,1.5722486645331515,1.2753618282560835,1.272995082296424,1.0621447599679827,1.32408159447898,1.0253887576587526,0.9848109277708283,0.9695669032288536,1.0119958242582308,0.8089183460775229,0.925430834940914,0.8532928529336762,1.0208574910206794,0.8829834621438228,0.743791329859018,0.8023936390954002,0.7828611410242469,0.8400380228386802,0.8333693776521516,0.9152366861361819,1.1229752073934516,1.005165678347066,0.8471521598789578,0.8210375863168285,0.9601030391462959,0.9707463350404434,0.8001343116134059,0.7488795680699304,0.796479490233357,0.7311466296916165,0.7276645175983142,0.6798938081027515,0.6430192705735318,0.8314941952992968,0.6656640786373139,0.8298633235956066,1.00255246380144,0.9668855862964483,0.8264942948937112,0.6920419132758511,0.628940119965453,0.6021735311765142,0.6256701244899578,0.6593669952739994,0.6976803533272442,0.7753020177706709,0.8393592746858813,1.0377854972892302,0.87370035562337,0.9154384716742067,0.8126965229941467,0.766159648699523,0.6602742199142769,0.6536559321657507,0.6198849285186928,0.662474875999266,0.6546580773105048,0.7403261664297801,0.82793162087442,1.0454856769429672,1.0326227147906637,1.0053897966727119,0.890111981240171,0.8901642660541047,0.7962149172440277,0.9397481075853654,0.8117025613436374,0.7349294040168565,0.7355386904985005,0.834271016080551,1.0809639981570356,0.9159156286042126,0.7789859674933777,0.8170628991947133,0.7487276440852197,0.7060149261015739,0.6850609200903547,0.6156082356287972,0.6357629073487564,0.6465813832128805,0.6774666908168453,0.7675770918560575,1.31664685642265,1.243082702270972,0.7193354525653514,0.6865408423636298,0.6301632982490244,0.6311045536721462,0.6198330934574582,0.6368439603253845,0.7012094188196637,0.7203385811238663,0.7902859039165256,0.9775021000329545,0.9617558072527431,0.9236249399307269,1.1222675106495787,1.164299945350019,0.958837872393995,0.8940188404137784,0.7700192076198608,0.7631886964282901,0.7177085742149908,0.6910498490856455,0.6851084717541356,0.6924372087574555,0.6931329253954813,0.7113722998307888,0.7090473656091213,0.9890539353224733,0.7132039936383076,0.8575032830498936,0.9493504249165209,0.9227859071561687,1.0266486433499078,1.0910717100774157,1.5551281443003446,1.9711576046572084,1.536278205738771,1.670327707882277,1.121536574348786,1.2225081532986637,1.2252423890871713,1.277240693155622,1.595991464961138,1.3789881976954992,1.3433691132036987,1.3059464054488799,1.339376950601705,1.166991011720517,0.9450513550955584,0.9555593770759696,0.9911205865505994,0.9341633464484076,0.7960624309301363,0.8543191025321059,0.8857758764365021,0.8191409937470286,0.8704089405105525,0.9520411395857755,1.0094645485425002,1.0627984296503,1.2097912254432701,1.3532913676563763,1.2330460692595266,1.2873738408747113,1.163753099638917,1.0390642928397065,1.063492167632756,1.285561575125153,1.510039922256981,1.4155197533073431,1.4285120472029451,1.339979189867183,1.2868595368683569,1.2559455839256526,1.46190136733908,1.475898971050104,1.3658664316556035,1.4128612035998966,1.7147399858569181,1.663968095467277,1.6142214536364108,2.1867153302508475,2.2570281187204966,1.925569479139992,2.3796813742182352,1.4558958377949272,1.4232178425294004,1.3342207832617277,1.1100301200499907,1.0523079084538915,0.9872628772722759,1.1188380878793456,0.9996900047597039,0.9268325404596899,0.8606740552127319,0.8980932084746929,0.8040705106005281,0.7858564161042254,0.8686388970193618,0.8106721661375172,0.8353719304469459,0.9217281464190901,1.1132991016764955,0.9565422851538325,0.9628719901582952,0.9331418651980429,0.9048395070715232,0.881187862317888,0.9839699591680305,1.0080635189427392,0.927144435385316,1.0846761501350912,1.18350144913485,1.1332262794751227,1.1842926634889408,1.4762854535007495,1.6377657117648787,1.3226162014066696,1.5595196091168229,1.700876786841841,1.718908774779203,1.55495407216622,1.301213036567454,1.9059838412203132,1.5237153896313815,1.2913982476594335,1.0875196951548205,0.9631346487127446,0.9490428969214358,1.0650297909503565,0.9611585157540183,1.1788512935332807,1.3699331709671285,1.2983981012588655,0.9373012805519055,1.1304568345399175,0.7966052812606687,0.7398925304923976,0.7518336828528447,0.7500680046359778,1.0499675898639353,0.7803280407236363,0.8052393113997159,0.8064649054100715,1.0531747803239515,0.8169791602808439,1.198990166040254,1.2310881118531705,1.6127621931056462,1.7079167347637998,2.9940249609515903],[0.7775468619938233,0.7728077821420221,1.1124856855700338,0.7235729770102927,0.7130005941651619,0.7109153862603449,0.7337847474034432,0.7846833958885232,0.8588838241283481,0.8550868053129396,0.9101264955450564,0.9122012860584884,0.8859161228583206,0.9422982041202221,1.0333907681644245,0.9561303198745669,0.9938346164044174,1.0676498825608145,1.1887561267926274,1.1895861017427007,1.3500440421491307,1.4446531985027518,1.47248722838595,1.5497392231056815,1.4001391151967115,1.3292531609285343,1.121458630439552,1.0266196581427498,1.0045538360944704,0.9657154883958703,1.0539276050264448,0.9562623442008297,1.0203042420770905,1.0374254296945438,1.0123231654579399,1.0527219713128286,0.962540298267454,1.0797933367870391,1.026541881739516,1.1121218845213379,1.241723752411578,1.1921275704012557,1.2840520564244455,1.3715338759805213,1.6860397019069726,1.8935137220925176,2.287374681706981,1.613469837254302,1.5759123579820782,1.9318087363327678,1.6867845649717859,1.9142973347125443,1.5656145466989144,1.4528182824488232,1.6586199665371666,1.4020821283353269,1.3679686184478606,1.3071605251983833,1.281466572602261,1.7187123663161206,1.4712485277905216,1.4480403844266039,1.3767807782811647,1.5397122734562467,1.478528752726173,1.3646902850711042,1.5090870215015704,1.2307506474291519,1.2952607292398297,1.382485256619301,1.4823870203975706,1.7175528210519002,1.4498693846233157,1.463066707976531,1.2845381513451182,1.531157627707207,1.2644486308982983,1.229917460752961,1.2248779938627734,1.2662916478463424,1.0607410072276875,1.1243187951909608,1.0914875225924185,1.1532249592133987,1.0920890678858806,0.9727890967549051,1.05749837360165,1.0252905878547716,1.1014490618170396,1.1099867880980756,1.15289427767958,1.3324553652283622,1.2300451452678771,1.0999517009079984,1.0484922989143812,1.1676212851576915,1.1482273246002985,0.9932922422073857,0.9412283640490458,0.9537060014983076,0.9074342317589696,0.8762640033247644,0.8653658354291909,0.8119138857078331,0.9585130168691844,0.7789598564255138,0.8778980017333966,1.047285254801137,1.004483872664753,0.9052009125818746,0.7769982770919748,0.7517982286993475,0.7425190630967453,0.7833442370754686,0.8439479953555795,0.8787266310036196,0.9861145757430876,1.0391009434173106,1.2456367145144573,1.0913832114259234,1.1133829926915126,1.0094923665407685,0.9405048146840067,0.8216923096168766,0.7761719667038731,0.7370162661322789,0.7118386811142984,0.7541811454185064,0.8090142975193362,0.9069832344684366,1.0695821836487418,1.0418246918051297,1.0391691093065225,0.9517348718791441,0.9656113120205293,0.9108521522215292,1.0028622566381313,0.9425253763814074,0.9070632356486094,0.9236562213160433,0.9981291564528735,1.258980340664409,1.1145220559819988,0.9842936978864393,1.0212102665593454,0.9685235321288357,0.9109321071501942,0.8787750653511893,0.7904665192510528,0.7797571971420463,0.7942952429132697,0.8339087284529996,0.9169574460374246,1.466365309030342,1.3750003058913058,0.8627260192328284,0.8517152077494904,0.7907348833292125,0.8154793607371558,0.7871574761935365,0.8109630716516008,0.9131887710523127,0.9241014175643828,0.9969790248019613,1.1213701372955733,1.086800726736436,1.0424405008898474,1.2232350386847082,1.2314147704232465,1.07719522810657,1.0031341276603845,0.9236704079422569,0.9338504724145449,0.8981068414501456,0.8869787744221158,0.8751145101830714,0.8948434925645106,0.9306590263146218,0.911879494773168,0.8916452047184216,1.1200865291348514,0.8659523806506705,0.9832308940016591,1.066410089905264,1.0346231104693,1.1777991597158106,1.2623082562504429,1.6849088168844164,2.1236247202273852,1.689398044603167,1.801451708563046,1.2435739601170113,1.2752300309381959,1.275840065192678,1.2974342568765707,1.5673205452769456,1.380965853480763,1.3270561314250071,1.2890179977497367,1.3619810987169747,1.1426183226152158,0.9490980591071292,0.9730325269629665,0.9662756360946964,0.8840768326207249,0.7577637084163674,0.7934559371702183,0.8006155879404554,0.7257348493210446,0.7641277189246847,0.8232633984506524,0.8707516596917279,0.9431410496872191,1.0617851961736293,1.1896864802074043,1.076721190867634,1.1408853826702297,1.0497990765847118,0.9315616633578835,0.9400672362190527,1.148373994888485,1.4120692706629736,1.2853607022941904,1.3879606875540587,1.2435369951375237,1.1884637843506143,1.1777495652014442,1.383260553140793,1.3745538472144314,1.275045514495774,1.3567369696998666,1.6429411831972356,1.5930233318967923,1.5593221885593234,2.114987489246966,2.1810073676630743,1.8649115839215216,2.3535727671803306,1.422013204445192,1.4015940696957128,1.2972301963400568,1.055923782086143,1.0502571571553534,0.9688584695690906,1.110298108247835,0.9866074394507586,0.8944147082570943,0.8633051623189281,0.8999901433155314,0.7788899735037076,0.7407226608629978,0.8298752578073809,0.7314038928794804,0.7325357916420073,0.8287640669537473,1.0068027395599761,0.8379913713456864,0.83788426878419,0.7985360966286414,0.786852340192329,0.7927498618816072,0.8927875253841558,0.8906101085480647,0.8352037919162741,1.0075215160048698,1.0862822471669498,1.0415945374819802,1.1167193678587923,1.3804686469906309,1.541540032291165,1.2544465969527172,1.4822010090034765,1.6104464505910783,1.6355061521504433,1.4941849481415546,1.2564460758179485,1.8812464731537546,1.520843260920188,1.2079897008770506,0.991112845373743,0.8652778661571165,0.8194069627533642,0.924069242402936,0.9174364454395746,1.1783591115312138,1.4232062541487966,1.3110039144688626,0.9637903943187826,1.1398502847839653,0.8416061457306635,0.7079500467131437,0.7839968295204224,0.7647863125110611,1.1786601211367043,0.8237836786284698,0.741436258889085,0.7949221184887207,1.1139173081336466,0.7535349946164456,1.0943084991715104,1.2240953380096702,1.6746245943397904,1.702530117336038,2.9068298912509283],[0.6692024695074273,0.681624682315002,1.0505391160699522,0.6763822118512961,0.6789653653396506,0.6328245021858856,0.6220044370425228,0.6648711094326998,0.736982142498845,0.7121178787002579,0.7523342711064832,0.7649584689478591,0.7375400589448562,0.7701240454719058,0.8478375499832651,0.784982810193843,0.8518272057807292,0.8686423280975603,0.9757003282104332,0.9727597841266022,1.1024063578068228,1.188726972028113,1.2197468903872433,1.2886952499235542,1.1858568705187478,1.098857610388606,0.9515310084013919,0.8524521385549992,0.8325306592147964,0.8032195438316825,0.8644558539340185,0.7939861073044612,0.838848902491635,0.8406863832162929,0.8186861344638305,0.8526464516457739,0.7805305499301272,0.8718590735131493,0.855007544901533,0.9422665893620175,1.046410309224995,0.9884718628214071,1.0696967564487647,1.1691370562571666,1.4740295938700478,1.728404886853914,2.078701097250944,1.3841193327186088,1.378341446004667,1.8050751248641599,1.4941379666138197,1.747970592984199,1.3947758337171408,1.2960755387042393,1.5531313019934756,1.1980586686667094,1.1535809920552798,1.1106400663941096,1.076552497926971,1.4935083504915447,1.2031076264339702,1.1868761845467846,1.1207759963487698,1.2907312608042394,1.2163283982294315,1.112383053591893,1.2628605495593368,1.0075059943503621,1.096326189603502,1.20328976527182,1.3160307009726666,1.5604519252852154,1.2923152366759563,1.291631680381006,1.073609399356757,1.3476678914644646,1.0356568107517763,1.0023631884513386,0.9843194644080987,1.026942734410895,0.8655428343979711,0.9765670863203475,0.9466544712622541,1.0408661722416666,0.9773884153056831,0.8183171717593178,0.8591934233781373,0.8511125599641662,0.8839719561492474,0.8965501564875199,0.9560841711589048,1.1549482335809942,1.0375714933980205,0.8910370975940115,0.8607609794384745,0.9911712064070766,0.9820331549936061,0.8495264884533105,0.804881276844959,0.8376999560317604,0.7751535221412894,0.7690570443290761,0.7476130530375767,0.7128375615817055,0.9127816067050768,0.752766075898217,0.8870460623395449,1.0839847965843925,1.0421396617920304,0.8949174268653737,0.7609178485877104,0.6970912208077117,0.6408405163434086,0.6878530272771223,0.707524938011782,0.7478349169437042,0.8338031538604844,0.8847664789815406,1.0585299859613013,0.9072568514868115,0.9435248716639859,0.8457258349619478,0.7953785857606523,0.6875542100425459,0.6665451175407481,0.6502060001399854,0.6584266295255579,0.7160890562313319,0.8202428873658013,0.9136356533513431,1.113136720994584,1.081568473838323,1.06224542038133,0.9602552876949207,0.9801526204920069,0.9066303068959266,1.0436344591742093,0.9365033185694833,0.8341261265760032,0.8093232239194111,0.8722555246852735,1.1032730172675975,0.9335463497563031,0.8322689175069045,0.8844156575088489,0.8060031810840271,0.768341614213461,0.7552582214643655,0.686793557064051,0.6685038367556808,0.6998923514744714,0.7125887057086105,0.8035041882791637,1.390429047370118,1.291197710612917,0.7489016111973053,0.7362207144302979,0.6798042168843138,0.7058872652804208,0.6940048392121924,0.7328828594537974,0.7817545320508336,0.8062815877829046,0.8559202233096349,0.9680477311174742,1.005211227296428,1.0014245357791842,1.1869653701517635,1.2325790616375054,1.080119778344064,1.0041342694771083,0.8795735681661766,0.8715180177307116,0.8117308651349304,0.7752638993075635,0.774526679945346,0.7697836461451291,0.7936804295924911,0.7788248042717597,0.7857861281106294,1.0217311458847853,0.8078730857458768,0.9346352557363048,1.0084661600493043,0.9826843789931051,1.065662878085086,1.139350307733605,1.4821701981227962,1.991915103668583,1.5391162858399552,1.6976441884075197,1.1611792246224009,1.2570632103093693,1.2702893921193812,1.3061130364448277,1.5792802861562116,1.426320442527432,1.3597760224462694,1.3321945654120029,1.41002544690048,1.1780492586052815,0.9730786835846846,1.0038572478099144,0.9991229361548531,0.9058251914899477,0.7606457934583748,0.8016547357559453,0.8087440392464315,0.7120325014351544,0.7325422988300815,0.7922092793606259,0.8316089584538204,0.894753528435969,1.0194863502716822,1.1376773306096688,1.0302276465439466,1.0884103474783429,1.034183278022427,0.9337012830550017,0.9248948985160316,1.1403493048942794,1.4334908567390274,1.28118787778447,1.4067651656636957,1.2373561956215555,1.1868931971713923,1.1882203274098706,1.3782654757305488,1.3573679295885182,1.2817615647094223,1.3644692372585057,1.6233818148631058,1.5949948245449361,1.5755466324108391,2.098441562707758,2.1618707122903653,1.8952744991732142,2.405228076472065,1.4774028364110623,1.4301253634805018,1.3139573776896922,1.0752585590117085,1.0498418531918343,0.9751791896044849,1.1019715914741215,0.9850040034442322,0.8915896583328587,0.8629946899073293,0.894257507862544,0.7743249191021492,0.7275294113597082,0.8076551217950054,0.7057536258033678,0.7130464918704561,0.7989998515978693,0.9660162227190389,0.8047569953863569,0.804056925091337,0.7789693703144167,0.7869369149864495,0.7998128990017673,0.9061212326396317,0.8923764281263014,0.8450369044291949,1.0285509758319658,1.094541042485923,1.0572607433315109,1.1487676629144559,1.3866787999506762,1.5392965990466716,1.2862967724186065,1.5132692157001728,1.6088168531941769,1.6225465070186824,1.5153801043119877,1.3015346427849712,1.8738486190209214,1.5857964074110018,1.2100657314513663,0.9921980836173685,0.8701741524008367,0.789413972544949,0.907084685506955,0.9615561674176966,1.26655612925684,1.5475123879868777,1.3914846576010023,1.0277552098513592,1.1897895889833319,0.8686457294996941,0.703264405497183,0.7779176155591849,0.7601428631854062,1.1900946112530866,0.8036831801956915,0.6944621324573911,0.7508381111855105,1.0682290785320134,0.6969959144239982,1.0394377640223946,1.155964437930138,1.6437966950277307,1.6643535593071241,2.8284655800213256],[0.5435902709215392,0.5321787900648899,0.9494786021197448,0.44070652009466327,0.5374411335585826,0.5118525295573365,0.5200965279292921,0.5529000813866952,0.6212402330510771,0.5875736429111785,0.6272247591548182,0.6296112214616132,0.6037637791254908,0.6287151675328027,0.7055604851020674,0.633044273804639,0.6908886205825284,0.7134389598406612,0.8245172644491201,0.7979125928344397,0.9524665497857254,1.0738526138340911,1.0844969253027639,1.1659681977747092,1.0448318501116793,0.9345565808492471,0.7632880096253422,0.6773161011557831,0.6616268197068265,0.6177271599827688,0.7158392257819736,0.6254207569720287,0.6888018905609821,0.6847679939140507,0.6605999881842242,0.6994846880536405,0.6322444019366801,0.7293520998934926,0.6864110951218404,0.7908061210598265,0.9223657377432991,0.8409159043874901,0.931410037999352,1.0589614558189384,1.4080798578489966,1.668137013853841,2.016699711612548,1.2923202003036507,1.275925652590722,1.7023870030570798,1.421595329493997,1.7299930867150395,1.3566796587861312,1.2334181392508279,1.5322658542762673,1.122666684091654,1.0491388814013805,0.9993295422356848,0.956726291230927,1.4090729231863286,1.0698361789389317,1.0293305845862124,0.9589835449864418,1.1232850535495107,1.045042836158106,0.9504840452807208,1.0995314750480727,0.8453124895011436,0.9393689536160661,1.0746609275293983,1.1914707327408942,1.439849842963232,1.1484774611532411,1.1345602328600177,0.9319038266441295,1.1645687670932001,0.8808239805957832,0.8456016092780507,0.8468678128937791,0.8918222993104669,0.7092204264691241,0.8755078432816876,0.7906238674862943,0.9678672343602605,0.8189679573370334,0.6617795953215939,0.7039824131115772,0.7258984591532502,0.7303052826539179,0.7316886073095205,0.7966079489091001,1.023529787918372,0.9011500668650377,0.7351806129004885,0.7195361597323736,0.8653911358786545,0.9045708381242269,0.6948104975282327,0.6388610998177295,0.6608358041446803,0.5972603886323211,0.6039154372896042,0.5900838806132982,0.5747352310382177,0.7752576421349979,0.6167152905645455,0.7483925118355905,0.934351557944151,0.8642987275449683,0.7274303423061806,0.5543504942188505,0.5390472940053558,0.499849271509979,0.5418775007014915,0.576764574121752,0.6140158145922933,0.6662895456431499,0.7254685420763729,0.90244357568137,0.7561227334156526,0.8156247459929857,0.7191702524735684,0.6896047650139192,0.5712528397109063,0.5390061682528174,0.5413055475671302,0.5519034894298717,0.558238071943567,0.6471836570907172,0.7727688153486347,0.9984959340133848,0.9882710266858642,0.9825842745517942,0.856443495104348,0.8672278591708981,0.7632260825553101,0.9049557401125227,0.7650704008377918,0.6691759054077487,0.6659058893926739,0.7620653437414576,0.9728816901070826,0.8013709511016177,0.6805899069042008,0.7469176267637144,0.6444382991629475,0.6080902666462313,0.5854329034310752,0.5260697595016721,0.5511799248744081,0.5456872575071284,0.5729958637804661,0.697988956720058,1.2537302079933874,1.1099142226129968,0.57933229533548,0.5604996838963463,0.535949981102869,0.5249423700562583,0.5437432945308583,0.5763459505113974,0.619923515264229,0.6520123153169409,0.7111582047119429,0.8941350872451821,0.9211264645910804,0.9087976454924338,1.1248509939411537,1.1806593579688833,0.9649431190583794,0.8837411134967342,0.7342623026031765,0.7245923837796674,0.6682300008493646,0.6201690576674128,0.6095144904509097,0.6086899537328965,0.6224055244841542,0.6364760049557555,0.6513161876888166,0.9374404519872084,0.6786850456121849,0.8354358118358214,0.9320251135157946,0.8992781272479963,0.9722812563420643,1.029853044613122,1.4730604191294625,1.9547231339857682,1.4998772716549227,1.6847324262083965,1.1060497414739485,1.2174346362861157,1.2281904518940516,1.2731433875532467,1.570359891292512,1.3655971456780684,1.306020352054888,1.23841446260323,1.2725934403495738,1.0624740573105123,0.8343509857086863,0.8307737773831886,0.8467752904671518,0.7657039955956848,0.6066504367835366,0.6401796296796358,0.6691174144578055,0.6007764545810422,0.6971813103367002,0.769133923550728,0.8148208923564417,0.9087710429023261,1.0921115002622421,1.2001635732010838,1.032544918358698,1.0743097759716804,0.9367072191235926,0.8084021857065883,0.8310441804797296,1.042507699215528,1.3194248670102626,1.1851567268885084,1.307270413057096,1.1662268832036955,1.135096245933411,1.115910881977642,1.3553358023437905,1.329003129286781,1.2295558151996895,1.3247731598749564,1.6168844186871234,1.5465279277567725,1.524942668062817,2.1133962364128136,2.1469139429945825,1.8150985175007746,2.3432304152892507,1.368002371316103,1.3701471880964506,1.2742542249730238,1.0034206062043054,1.0125398013859344,0.8994801291809226,1.054138980998766,0.9269783511809588,0.8201209380691488,0.7542415495487207,0.7854067195274571,0.6454228728813421,0.6212823670114341,0.729526209403369,0.6195210725351148,0.6166012131104127,0.7228934707863992,0.9544282598740089,0.7426924379467315,0.7177465597725087,0.6822480638392078,0.6660771472606835,0.6871733349548227,0.8157711569430934,0.7779750196035661,0.7172051624528205,0.9190947946084468,0.9892458059548497,0.9265932966595875,1.0189032150892603,1.3044386124971643,1.4177670066858743,1.1324122360888456,1.4070265634967287,1.5288146048938382,1.5244077000459944,1.3797915238964156,1.114878738508717,1.7957405353461193,1.4398039204068034,1.0908330925572793,0.9043170648273311,0.736006749605175,0.7930262379514219,0.9550530178706017,0.7268953482038282,0.9717713107493898,1.2431376236389415,1.1791632636703844,0.8026607990357223,1.0315926880431259,0.6629630592020779,0.6032585794515719,0.5947101422416995,0.5633052846215594,0.900775073314838,0.5881445074811897,0.6782951488486958,0.5774168386803481,0.8836804500268782,0.6042789844858155,0.9991219220550831,0.9711494032136512,1.5784951565099101,1.6036092990313011,2.8861014838910877],[0.5591586180168263,0.5679024458369276,0.9652160531432477,0.47419497695639884,0.5899611185154107,0.5859351321437813,0.6438548697021199,0.6832313019858437,0.7381602869983449,0.7325319563855985,0.7797718365067394,0.7791533944816987,0.7699507106957726,0.7898557061953817,0.8792892375713183,0.81024220582434,0.8578073081343607,0.9062662223004398,1.0170583514299687,0.9944122359032179,1.1498249807964693,1.2797584030528981,1.2653738835035213,1.3220332401147559,1.1846641572909014,1.1136913581106875,0.9443539646775806,0.8714180833865942,0.8513424693130847,0.8036277740941364,0.8949197458385948,0.8120386797153832,0.8629083740543495,0.8846513920510053,0.8618295296750972,0.9036872604002167,0.8156572190625851,0.9353013552874361,0.8786541778105591,0.9728328705667638,1.125863297326988,1.0356483921081996,1.1266539118446068,1.2181612422603822,1.5502796051285632,1.739001345319139,2.131623153930123,1.4436004837767515,1.430832924266532,1.7843048791712484,1.5467925203685218,1.801458580448584,1.44519491570004,1.3434916968506287,1.5865236694125262,1.272445033902008,1.210338935252266,1.174706749346373,1.1361617664351429,1.5592880180873747,1.2779166565562436,1.256819796567076,1.1829734752514764,1.3479653524801303,1.2771491889376825,1.1698174334922362,1.297024590827326,1.0516009260349566,1.1146857373935348,1.2347377081349757,1.3394880777348237,1.5803580331600546,1.2860531206643067,1.2860279840298405,1.1141004452383647,1.3301437092203867,1.103536681218946,1.0691462641759713,1.0767244752132088,1.1163096451293426,0.9021543878231898,0.9676228623438736,0.9349045158601372,1.0367139289979332,0.9387799980613427,0.8272095774119552,0.9012773652205274,0.905936084556024,0.9399269256727663,0.9386071627890636,0.9997518578740207,1.1878501229824963,1.0709599506107015,0.9204537424977908,0.8962945631935311,1.0178482258826314,1.0599508286312604,0.8555488372202387,0.7974045640179319,0.7916739379182622,0.7628108469604868,0.7319671035591739,0.7733499931389918,0.7216873011976372,0.8494135063742124,0.7041958228025197,0.7662568316134549,0.8946532911107407,0.8162182040392562,0.7665617200123794,0.5932656730379067,0.6682192033154032,0.6485415282433002,0.6932569966584322,0.7343002623041821,0.7650442648270467,0.8269744200262689,0.8848482014015921,1.072161538060334,0.9334678392436165,0.9726659940429063,0.8651119542349279,0.8166568012256081,0.7053417790203357,0.6707075315062367,0.6890701997111294,0.6530297464693082,0.6411804455514656,0.6601243239873078,0.7883914056691776,0.9451331976863173,0.9382336785679571,0.9623612932325109,0.8677319309158132,0.8748822617445672,0.8006642180447124,0.8943869883786671,0.8079789264770499,0.7780843104695855,0.8135300200568534,0.9064170102308985,1.1488711918131305,0.9927491007341172,0.8663173253875264,0.8978684300524316,0.8429244505343848,0.7871817167681635,0.7504743626234607,0.6884174691516274,0.7079061142298142,0.6835518388970521,0.7120430361240598,0.8162114722428817,1.2841325068448186,1.1977588777535222,0.7226778080771311,0.7104587876107704,0.6926381470854459,0.6772548021177095,0.6634635976012018,0.6993503400508828,0.7907408777840708,0.8130875418613505,0.8857601334954168,1.105078355397303,1.0239029657033185,0.9747764099654237,1.1684835718854634,1.1778600070290222,0.9861863917795716,0.9162228624296361,0.8244646803162727,0.8323460979788958,0.8037867660463704,0.7814706217044475,0.7582797627357777,0.7721382980844552,0.7969167560746245,0.8119049094721211,0.8130334934852717,1.1000757658814588,0.7854138825191186,0.9187904230134308,1.0046603769803424,0.9708123611167141,1.1143873976304175,1.1711125014640515,1.6549404221945714,2.0290814138660753,1.628677011107156,1.727984504880576,1.2103610477271416,1.2395587764993923,1.2472687867873329,1.2579618687481344,1.4992143001341371,1.2930710422851883,1.232482181424067,1.1385924264555447,1.1859952764647022,0.9855943828039667,0.787437969695868,0.774009163986781,0.7747278882686545,0.7125328083962886,0.5982330313704886,0.6287303635700536,0.6452462572263274,0.6039152216441415,0.7276972533916553,0.7920673634498183,0.8268782325490456,0.9226101308357086,1.102713930215134,1.2066269807242203,1.0490307823852836,1.0781447502085437,0.928356032054118,0.7820917248542009,0.8148356020349355,0.9963170410378783,1.301052601350927,1.1492875558606108,1.249043443627409,1.1014677149912244,1.071046817754356,1.0546808071778133,1.2982015330259469,1.2514006436367735,1.1543945529359847,1.2547970935224368,1.539976834878746,1.444620040577884,1.4282819067117425,2.0655034233038654,2.038935025725485,1.6740660952348063,2.215684537376677,1.2386597644286241,1.3016368679823125,1.2209183531078842,0.9650252219075035,1.010548014539707,0.8982319307784122,1.0731190997562987,0.9300358646642495,0.8310107418266849,0.7851172620694,0.796191322225497,0.6367805162807453,0.6321905592737393,0.7514304112643994,0.6285057349285349,0.6169052494289983,0.7282312023545114,0.9415825039728011,0.7544863459889661,0.7180374796462566,0.6753857665331359,0.6467621590165188,0.6667535320522598,0.7710002942388046,0.7379593235862317,0.686326232987308,0.858713394271482,0.9225030234267566,0.8694299259622021,0.9381592142639915,1.2149737966099494,1.3271070734898047,1.0426570901995575,1.2824203200751825,1.4283458853006514,1.438135176564721,1.276775523478811,1.0296738934810796,1.7607507820108228,1.4221086473238687,1.0802513146051071,0.9263868164326854,0.739507467234262,0.8393471620211425,1.0258384723145464,0.7201784968822671,0.8696267248888607,1.1008314771246042,1.0672583817244943,0.7260673248795435,0.9378702077737721,0.6406016231702086,0.6405566661945324,0.5968089085112881,0.5648803599589093,0.931429280775146,0.6042992615769737,0.7213243081197538,0.5989766552407392,0.9079079575282735,0.6459337985167172,1.0107457835019664,0.9670045072356693,1.698020943916913,1.760754522808702,2.9688533852753562],[0.569618543032687,0.5991666131032862,0.9845066989162997,0.5399375991503877,0.6796070947445325,0.6615843394278096,0.7302240356526767,0.7704131373957468,0.7986836426568509,0.799591004464424,0.8332967383587486,0.8453952963266899,0.8440314136408875,0.8375822652637822,0.9200733330114972,0.8709706769268644,0.9153567813733186,0.9513900786415619,1.0400762682704876,1.0366520509445645,1.168694732835713,1.2974329372124602,1.2688516745396512,1.3186694367975955,1.2108740279076962,1.1411117958937598,0.9995748136763949,0.9403295201778887,0.9194311813228019,0.8849657739786544,0.9375646588062049,0.8856228548413233,0.9253284640800581,0.9383538059039794,0.9299686549358691,0.9670383345866851,0.9037639299811073,1.0148842081411646,0.9643558837373203,1.053971364632414,1.1952624399144436,1.080016194661137,1.161316955400128,1.2436624831826286,1.546699741376003,1.7420115205545907,2.1243065697868073,1.4546899778623088,1.458790775356655,1.8297290505894068,1.5706932066560464,1.8371746106124165,1.4723373347089024,1.383403102470811,1.6098124328080874,1.3054899976969256,1.2408961492228352,1.216326897550784,1.1763017029247693,1.5734932233338295,1.3055446356391336,1.2820677320776857,1.2141112780861232,1.3511143751147083,1.288513144713979,1.2013173945095332,1.3044719939178897,1.073837370074297,1.1177222714580362,1.2473769172471785,1.3438633390601056,1.5706713065352222,1.2825277376873452,1.2727676388576317,1.1271647524649604,1.332821027648992,1.1296464067454923,1.102088354120616,1.1230352364854952,1.1697659999709737,0.9818702349922596,1.0362867785225645,1.038480771893805,1.1115770300831518,1.030406118754216,0.9256286357782525,0.9782614643180294,0.9819384583078097,0.9970176999659809,0.9918183390775083,1.0369420419950601,1.2028756753879504,1.0890528180158505,0.9560775155316478,0.9373523094390983,1.0432424412608068,1.0982572315020067,0.9138756033745237,0.8646258380635067,0.8590202972065946,0.8478132996540912,0.8299479922706504,0.8806532349808757,0.8483575641403255,0.9630005203753795,0.8427609468892948,0.8788165098046163,0.9896639219336818,0.9002072103113494,0.87619509472605,0.713015883635254,0.8017004008627238,0.75752294501103,0.8066115099429427,0.8173333107081425,0.8454840669965152,0.8951653404728949,0.9456170973045175,1.095745589962725,0.973486191727194,1.0038325634652374,0.9079482707409591,0.8659927662817516,0.7751983441078828,0.7466649594055015,0.7997298668254681,0.7524892854699436,0.7665641187121339,0.7797530021758647,0.9130504787654596,1.0325998770204579,1.022392274815374,1.0590446055591742,0.9781803608812826,0.989927523662801,0.9253596291723604,1.0080450280174318,0.9216987744034936,0.9009684834680435,0.935637503950868,1.0029467915966161,1.218926417837145,1.0624389076813057,0.9598843082154237,0.9842338364506935,0.9362822069019234,0.8864638372571131,0.855225044241445,0.8036626745537891,0.8093184663183278,0.7897091358003768,0.8019065600188642,0.9012347623505309,1.3109773457014942,1.234622088024362,0.8080160528833731,0.7976966452279309,0.8020995525856386,0.7820118767701396,0.7846871023970825,0.8290395359922532,0.9036433649954588,0.9326702400301575,0.9961771020986793,1.2027912041476452,1.1172762380467345,1.0873854967271683,1.2611699313742608,1.2641261507623056,1.1097413999547334,1.0365352192129689,0.9571248225317737,0.9642561100191581,0.9339340656978695,0.9085167831831359,0.8831039185867199,0.8811857497744862,0.9152486760940074,0.925237046916376,0.9368862900946214,1.1987004414101161,0.9210957031866813,1.0425648646497185,1.1124641433526408,1.0825772702540546,1.2127872937870567,1.2558241473015876,1.7124310381042787,2.0956786031250383,1.705411517967857,1.7896173901766308,1.308209884191961,1.3071615775692431,1.3231494164445814,1.3183852233527305,1.5188561664997078,1.3422416418031378,1.2778260255995249,1.180351227694976,1.244069677535848,1.0331029861702998,0.8673609722223609,0.8545785931900858,0.8317594265684141,0.7750302317302447,0.6815414943128677,0.691978606289871,0.6877215651143951,0.6652423455443125,0.763419038290282,0.813192623025039,0.8335594819474019,0.9220621139981762,1.087260502760355,1.1665932181913738,1.0219698821685566,1.0518390998400051,0.918665677922028,0.7946263098407065,0.8227788986686803,0.9791057982956948,1.3326241279065543,1.147462020820143,1.2839391489791712,1.1198204245466055,1.0941474319666142,1.087498367634234,1.3126849484517702,1.2520555346070343,1.1675509238194448,1.2764717012381015,1.5276581472325363,1.4318011033409224,1.4308019033590242,2.055796089672074,2.0106327713235594,1.6539478600745823,2.2292414683918174,1.2549383387451243,1.3398627438416129,1.2594601383319526,1.0198764296691163,1.078672964822469,0.9790330694998967,1.1473478535648034,1.0079984203067645,0.9101801290692318,0.8858226184815293,0.8852337385227703,0.7252114130276384,0.7124137540862814,0.8222131115883071,0.6946821262233701,0.6773926624673856,0.7730925783984348,0.952438002209382,0.7876677578198141,0.7510135766759096,0.7124598149905685,0.7111926017709246,0.7418644799814453,0.8163840053558485,0.7657629897395075,0.7307583566709466,0.9063718141074933,0.9403243543989918,0.893087678470164,0.9661700769991387,1.209043643166719,1.3065380421427055,1.0467252758151564,1.2594593283442084,1.3828119836754615,1.3822817894896255,1.2364550171035047,1.0229652835425656,1.7388020589190527,1.4632928282569375,1.064942421780712,0.9211640785811398,0.7582843782662092,0.8675892272018015,1.0447677531554587,0.7584578350013585,0.886700937483236,1.1570792338862153,1.1213887121725694,0.8062642144291898,0.9969643657305611,0.7360234882236282,0.7199380824933669,0.6997360193753179,0.6655329225544804,1.0236911206341825,0.6882871847957969,0.7818559761495085,0.6690462329378422,0.9583290121369843,0.7282659487927823,1.049968976233633,1.0085363573728456,1.830155119264639,1.9419759919247388,3.0900751521284326],[0.6123653169946699,0.6197780161750449,1.0064821638393437,0.4236484352557586,0.6341698982162349,0.6132042669660349,0.6552081983817989,0.6670926526740177,0.7156849449973455,0.6689499634593276,0.6889268628479157,0.6815707825788092,0.6852011480328002,0.6764792194674749,0.743945206944172,0.6846097495560228,0.7181820433308637,0.715643687833738,0.820075969130437,0.7548822533505524,0.8891240019496665,1.0180386269234383,1.0312865392633743,1.1071879503874689,0.9864549972936825,0.8704013034808177,0.7229187092624526,0.6748223201598461,0.6739299040974498,0.6391141568142922,0.7189306296504092,0.6579014019588133,0.7175503004563268,0.6970771822882914,0.6671978121150482,0.7012613090959999,0.6446218197326467,0.7158033609000991,0.6745343078493133,0.7834897451692451,0.9208722873689819,0.8101750217775149,0.8924506039403245,1.0164252159157747,1.370078511910225,1.6324395522972328,1.982757799768545,1.257976328603665,1.2534031295161814,1.6853735718530969,1.410708491400195,1.7200733885400687,1.3453750042997759,1.2253107742012923,1.5376850313011408,1.0985059776044404,1.001161827942307,0.9808119229043701,0.9258330530035697,1.38220487828477,1.0098796938742538,0.9678240168896031,0.9058381266428543,1.0496004358981137,0.9683157108222719,0.896862192668457,1.024405168143714,0.8170587260979565,0.9103017649841223,1.0623733638698494,1.1807443608397854,1.422885142367032,1.1066076425215063,1.0758221786223185,0.8976153195009174,1.0813416682144628,0.8454770914791923,0.8195099223428871,0.8340807149138213,0.874655151945883,0.6953207759900791,0.8362087706114708,0.7742795547829495,0.9564696901416452,0.8048611480815206,0.6502761560518695,0.6897205417671147,0.7433431368464887,0.7178558747175725,0.7192318584861356,0.7890403670622679,1.001174418316316,0.8964330047089971,0.7446889063687604,0.7494248891093641,0.8764838919011725,0.9650724088718922,0.7380786123674796,0.6883910121082477,0.6933970968042219,0.6488437714196748,0.6509421955958188,0.6495194675851824,0.6464338211872978,0.7552985365904358,0.6558245435685974,0.7198573197952945,0.8647575352327016,0.7605395155396131,0.7098526550773444,0.5327295605171792,0.6044159585859958,0.608608987287743,0.6191123664764915,0.6474187427556344,0.6660345894224531,0.6735044249862642,0.7181165376805299,0.8833852278232984,0.7590694855430193,0.8154861795674777,0.7357443679614226,0.7120536136037,0.6449297267882763,0.6496247451133382,0.6692298558847236,0.6899506515863898,0.6153940816042195,0.6123317745239402,0.738987425554195,0.9146436146405085,0.9118097463393775,0.9372887060375892,0.8254749914240473,0.834064796463214,0.7377574095957871,0.8617583490046177,0.7251779958774297,0.6565353212868178,0.6794759984841138,0.7490935329991737,0.959271019537585,0.7960272812740384,0.6886227403562011,0.7295550041242869,0.6622258642044662,0.6371300108017893,0.6221865294627345,0.5994809119976028,0.6658498903941813,0.638564440959675,0.6834128883863984,0.7945928890332562,1.215958945396515,1.0892625184526512,0.6425853042676256,0.617194496041654,0.6264406112024413,0.55872515268273,0.573692516990794,0.5985821599433235,0.6339210587803495,0.659889233686757,0.7151183122871597,0.9628476326038823,0.9170968815592749,0.9067722351773795,1.1254558897403226,1.1660907343884903,0.9486049728822417,0.8691299166313329,0.7333596356378772,0.7195905473696181,0.675180128214579,0.6337381899401424,0.6230734167285502,0.6262419452181635,0.6370803183115141,0.6611814873524805,0.6713221261174539,0.9876725428311632,0.6854750446229241,0.8274997464729802,0.9284463210807541,0.895672619627851,0.9991742767481168,1.038025708620208,1.5142507133549934,1.948411161134228,1.5281703177116899,1.6999054794484465,1.131393615820536,1.2008568107443036,1.2105228376683168,1.2292283875792356,1.4719168544329484,1.2720269300565494,1.2089170914353724,1.1019420496825894,1.1376990383977084,0.9479323704263246,0.7507670763277074,0.7241300215291576,0.7324022513507097,0.6842618582677189,0.5893103713645612,0.6328766363575334,0.6431438476124425,0.6197097118400504,0.7844258313745173,0.8531174739870891,0.8656412440940696,0.9659229162809635,1.1740552009494685,1.238554325413358,1.077324629029217,1.0672172991535747,0.9298969522338428,0.7777088299506195,0.8019783126485941,0.9465351182103703,1.3055347347262989,1.113540616682594,1.1904626515974643,1.0536254463084616,1.0384316172632342,1.0288612363751801,1.2768807797382156,1.207483052587885,1.119343333386566,1.230118329563342,1.498917540596138,1.3956287092785151,1.3810547652840108,2.0235237186676174,1.9853463195630425,1.6144113247766214,2.192498694127244,1.1921612029619866,1.2807595823117295,1.1993617489047628,0.9431399136425596,1.0055793388544527,0.8842677763898461,1.052454346099575,0.9157225858022828,0.8204054059290624,0.7754708631781481,0.7696021420106564,0.610624531481515,0.6199800148794433,0.7449749411210671,0.6409763364858483,0.626963815902879,0.7324668459659812,0.9619731662559132,0.7830509729422692,0.7314545739976872,0.6910890791404264,0.6443900817894445,0.6562460901050767,0.7504938163473593,0.7063154880461131,0.6680683866537743,0.8295013822009454,0.876642800897065,0.8318019145758611,0.8923190390163875,1.1594877457075703,1.2627286504444761,0.9886395896293318,1.2006944765706846,1.3361935813497072,1.3378746354838769,1.181546531579668,0.970982247248487,1.7190049075256812,1.4828126557616519,1.0722418156870164,0.9844317434667379,0.7768031914713457,0.9481687514597442,1.195572446860594,0.7690785411308558,0.8085114269016241,1.016556604470332,1.0057081673336,0.6746888673740467,0.8816523499716639,0.5978326227529339,0.6680678778173568,0.5461351475674793,0.532703316952218,0.8253964210445199,0.5426271866333998,0.7659308698617983,0.5663402930241932,0.8397319963280825,0.6932074936570154,1.0704951700234897,0.8964279090142051,1.7345860068933032,1.8186821747882262,3.017085480158698],[0.6618210071529792,0.6480868752910093,1.0305101675831652,0.43085492077612686,0.6614345951120097,0.612225305541309,0.6655653374184091,0.6824288621376694,0.7261176398594542,0.6902229037105547,0.7156534047802809,0.7039040104647395,0.722483032658362,0.7135816798701469,0.7933475552462641,0.7402396911108774,0.7779496854794681,0.8088981522364224,0.9360094163132266,0.8819671608005388,1.035223409255123,1.1658448637372074,1.1778418396792922,1.251660520332409,1.0991189231355694,1.0043338902156165,0.8472009823829822,0.7801327059067604,0.7600185132550116,0.7082746270051965,0.7896373348134876,0.724426822241836,0.774306892701654,0.7785198503794165,0.7549812135373444,0.7978520776408251,0.7175300942144489,0.8266371347742063,0.7807880818973356,0.891397670830116,1.040130182858782,0.9414753286606635,1.0388442884638907,1.1462701822845813,1.5140365664375224,1.70581668434525,2.10034726124444,1.3999460137658377,1.388669421986425,1.6947841756297652,1.5050653086353847,1.7575416216290196,1.4231259429079048,1.2936301033090891,1.5626369439817354,1.219211979592311,1.1428856833164254,1.0873739180892086,1.0515272879501543,1.5326827671631256,1.1600474505203338,1.1303843625002208,1.0520731630147522,1.2288966620119701,1.149520457902169,1.040416214771451,1.1768108958862378,0.9399074582635543,1.0273874742854634,1.1400533446271002,1.2633861651734952,1.50956077467073,1.1866356474502953,1.1861566817734397,0.9956954670121274,1.1927690899763752,0.9753714462638058,0.9498555213066536,0.9723043246727904,1.015018742078041,0.8011128823686264,0.9182241349313037,0.8474510599454049,1.0261918485092647,0.8649480127721532,0.7463931539989335,0.804952458020797,0.8254657578427667,0.8295024878655187,0.8234291824503839,0.8844777307052876,1.078645967643542,0.9705716917055588,0.8176684756960393,0.8099960334563201,0.9300500613745463,1.008635745559932,0.7894746453947777,0.7288693413775005,0.7199840762602461,0.6963453140653136,0.6884622417721181,0.7066007061542557,0.6849673435436623,0.7885539149703331,0.6756775830697118,0.733925263686848,0.8390927778784953,0.7280549554192643,0.7208324359831016,0.5403325842324613,0.6256824878301519,0.6316767179685889,0.651632989760744,0.6864940038435556,0.710858573012316,0.7462493179715912,0.8062128887017606,0.9921354172801226,0.8528039290936257,0.8835914714320673,0.782375087506829,0.7474500808549398,0.6724604220264547,0.6667447022683489,0.7031936036589138,0.7268167280433727,0.6385062983125367,0.6011423964100162,0.7222508225898953,0.8771239146566465,0.8980715772683414,0.9177893182971707,0.8216478388276373,0.8078087218049714,0.7249871768337306,0.8172163195662501,0.6948597818395065,0.6393965846247583,0.7063991310138256,0.8096881576017495,1.061141296529219,0.907911583588018,0.7868062623791405,0.8193924693754845,0.756005053352684,0.7053928556465003,0.6754920621420556,0.6439523480976169,0.6977383973939237,0.659835597583874,0.692626143077836,0.8128839337293394,1.1962506758220948,1.0723291524644112,0.6593685119715019,0.646889111258246,0.6622280646356865,0.6059650756771736,0.6115095655200151,0.6338901137537107,0.7023799331752749,0.7254101967891144,0.7956930281126118,1.098040940335186,0.9666107763880442,0.9247787237000276,1.1234391354311157,1.1308296555659048,0.8866114680556945,0.8356909761887685,0.738556345043138,0.750436236216619,0.7267148828195066,0.7023298601528757,0.6870446467658866,0.7013772632060906,0.720955133998256,0.7519455976690776,0.7474880976648567,1.0596452536764003,0.7121155358716496,0.8649658115350728,0.9738495293924394,0.9246398906907181,1.0625847259057333,1.1007516612613584,1.6321087828140768,1.9222418445108924,1.5825412283910285,1.6985197667043506,1.1727890463885569,1.2113002556175503,1.2120898710183277,1.2433244755812145,1.489478446881763,1.2506472698890503,1.2061152784133595,1.083853464929502,1.0880179453615118,0.949433044785914,0.7487953385921146,0.7104880894216561,0.7429034887601105,0.7128833218956729,0.6162276358677,0.6768809530663286,0.7029300227306304,0.6691132463826492,0.8358297702526128,0.9151746699165374,0.9308192615423344,1.0178178696377818,1.2248543839772486,1.31643269607319,1.1526670268372332,1.1423708298734354,1.0223055668324306,0.8521704495066023,0.8749943550703265,1.0208100763664198,1.3222953927280627,1.1915566713700445,1.2076811894158759,1.1067202372891383,1.1006731285575546,1.0819109414221777,1.3515926602284842,1.282446599510848,1.173535184505264,1.2811362710384542,1.5736726108161927,1.4494680437969811,1.4159563746102848,2.0913592501767737,2.0394813185422027,1.6273448644349373,2.139816574051344,1.1825848867926887,1.2922246291730084,1.2309001843392953,0.9776684763023936,1.0353212468598507,0.916348335282143,1.0635720334795886,0.9380528613381568,0.8470976755158574,0.7847370857429542,0.7796654459508146,0.6321274441470865,0.6423730284546725,0.7571359062797085,0.6734927730774221,0.6721678512324424,0.7636283060120583,0.9983011731790202,0.831901140698141,0.7859035368232935,0.7514971741931792,0.694444239103412,0.6989776606560384,0.8076616144039555,0.7762840407862109,0.7275584828560205,0.8677708549912172,0.9330700285186341,0.8830910092088888,0.925502120901534,1.219034870620267,1.3207433707053877,1.0148687813085615,1.2274107267676548,1.4025408976067293,1.3987114798477582,1.2173383615929485,0.9985457424219043,1.7723148199915857,1.4619905176483954,1.158669751543387,1.0718629944793199,0.8509542019731289,1.0154882642750669,1.2725370832311669,0.8298031306230428,0.8242807875649986,0.9217571247486774,0.9634959595785456,0.6601412442223717,0.8496125476540046,0.5980387905942591,0.7065681189140993,0.5488530467234358,0.5393553634285221,0.7934784055041928,0.5459814121856895,0.7885019852751631,0.5759904206859392,0.8434050920682032,0.6883130165159166,1.090459301144351,0.8945735835042136,1.7004142430757991,1.766169847025146,3.0374479809261095],[0.6360107850515859,0.648627716352704,1.0587456610569483,0.47161440322287995,0.7406085246643339,0.6938522966617052,0.7754020677232246,0.809643082588863,0.835705443745098,0.8327864646498321,0.8636074694441824,0.8520028932171745,0.886192629072597,0.8590734016606028,0.9438762575303233,0.9186374781372365,0.9510492396201158,0.9881606579183334,1.1031984359388072,1.0598291722698479,1.1968500262579151,1.3148475646289413,1.3159289602001416,1.3672279096142672,1.227842317990916,1.1660571248736615,1.0298788718204819,0.9736815578121678,0.9534941032865704,0.900748170367993,0.9597384850866726,0.9111239431815594,0.9475141508870434,0.9577974514576668,0.9534558945975544,0.9839724768016921,0.9205523869649244,1.0330775159757324,0.9753105768250632,1.067323667134947,1.2143901105734587,1.10313913338318,1.1909829744604772,1.2685987218623562,1.603220269898354,1.7513576160742768,2.1692725457206397,1.5028168450786143,1.5143714659266991,1.7847415599449141,1.6045423332280104,1.828698204557496,1.5047877225158892,1.4074654712873909,1.6213197266839934,1.3394081515668896,1.2801246179514751,1.2365308981715257,1.2119494231670962,1.6514017720213283,1.3234598567625746,1.3116942048672509,1.2324595190216359,1.4044168897901257,1.3177563017623857,1.2149303246659033,1.3391143148519313,1.113166374697604,1.1813995619364588,1.277208925949022,1.3926146776351276,1.6027607074397086,1.305353539652681,1.3096721006578085,1.1489962866029872,1.3254006248082002,1.1462410071952016,1.1313422655864513,1.1612102172240581,1.2044133730297422,1.005601026211089,1.0764009576650448,1.023698769710805,1.145868217246618,1.0278667720036772,0.9500347048895991,0.9980482958325342,1.0188029006998371,1.0173759800784103,1.010266597702558,1.0547944076056444,1.2147056522566637,1.1133033437123632,0.9898642461798636,0.9790362658815217,1.08172278880742,1.1719894688133485,0.960372025110028,0.9028997162762499,0.8767303189747879,0.8734144921810763,0.8457948625228543,0.8876414180206557,0.8560234606909973,0.9446473294968497,0.8290538343805676,0.8483351347602328,0.8929716440327121,0.7686086900197047,0.8337109232222946,0.6650989674694836,0.7820656164366714,0.7821056500243336,0.8104385106629941,0.8459901259487702,0.8657548485414789,0.914512143918359,0.9627247641578658,1.1335984078705572,1.0233406726435401,1.0268202731679783,0.9327026621612493,0.8824959749539959,0.8054275688128743,0.7847011564401438,0.8531567898400749,0.840313147984713,0.7608547474553159,0.6998538389264257,0.8105450125494202,0.9098382126005538,0.9421133410925547,0.9743840786845025,0.9062118829901634,0.8888580955229298,0.8248005341247813,0.8813969682107584,0.7847394015616047,0.7544368248764974,0.8494959607904234,0.943326011352873,1.19355503955052,1.0797076433576198,0.9666798965569179,0.9839210231664808,0.9514748754827287,0.8844248095983321,0.8540601543912114,0.8167709829942363,0.8527468681326735,0.8000462749555162,0.8329265225193806,0.9213862199883961,1.2468846544704597,1.1637690189702974,0.8190520387189535,0.8153212427870247,0.8258615991433643,0.787838786598655,0.76956254362946,0.797361614734185,0.8940115471050476,0.9030507891219642,0.9881091984478972,1.2871274308321614,1.0852683113861443,1.0406432014360172,1.2052191580205576,1.1747978861812505,0.9799393701396034,0.9316577917698096,0.8699405811838675,0.908035196745517,0.9033997229772636,0.9008306626778844,0.8806217192220264,0.8957806315213772,0.935511229472442,0.9548590616494819,0.9468112642866606,1.2307221213898054,0.8742829750118358,1.0090486218760322,1.094651756506635,1.0470371234386349,1.2256142997036867,1.2539571916022545,1.7822017103839187,2.034917448456625,1.7299341451705108,1.777535294945188,1.2974279436228018,1.2674671952513512,1.259473712744236,1.2525888137643706,1.432899719395616,1.229171576287185,1.1907998078369744,1.0514354331212565,1.0744577028590803,0.9357817742075863,0.7783516935585887,0.7385775589160765,0.7455363253710663,0.724893717565922,0.6719061862180413,0.7282166316174336,0.7233941816247248,0.7064633606567247,0.877531249506914,0.942373367050259,0.945215043779407,1.0325825107476405,1.231711142866841,1.3022669719269135,1.1543314019515079,1.1325845544774995,1.0195069011260056,0.8528512685062926,0.8686698361318894,0.9898209322707784,1.3208010612057104,1.1641452833181902,1.1713600777606201,1.0659439322103559,1.06764853224797,1.0615749331308348,1.3158518815603626,1.226739089501919,1.1322949955884023,1.238868045300749,1.511095190298657,1.37860983137884,1.348921422336679,2.0358883813813713,1.9406410760033672,1.52864153553727,2.046416920337455,1.1194142559939164,1.274614548739375,1.2112333938853967,0.9839638179420155,1.0802117617301985,0.9722835619509783,1.1429613031491723,0.9987756099563897,0.908483477373256,0.8718043475772825,0.8516354148065486,0.6906231204614081,0.708252734517361,0.8285956265745394,0.7266716643833617,0.7110267050212058,0.8018726266426812,1.0176820893844123,0.848233507502428,0.7959476327324759,0.7622602824016476,0.711536449844038,0.7232742544504036,0.7919927575634885,0.7597303034372063,0.7273070837360646,0.8482866613481683,0.8978895480816385,0.862883172092679,0.8961981919979584,1.154283370205992,1.259380280654356,0.9817539539787251,1.1530316667260734,1.3138657340395334,1.3318344831877822,1.1574407775150677,0.9835021432464128,1.755785700899116,1.5137464398642386,1.1608814513253056,1.0898294762036596,0.877716617421022,1.0496743399292263,1.3121141662107947,0.8820635848627516,0.8416691234894338,0.9189891501857098,0.94865959610539,0.6928751632294035,0.8409855139670575,0.6660126010655164,0.794826699572066,0.6372933409963016,0.6226167283936316,0.8967582568605633,0.6541748767278069,0.8623429071211055,0.6544920216131537,0.9098339615093757,0.7695882572689987,1.1230427775665524,0.9475742647101077,1.8048969824474284,1.9350498865617163,3.1282835026603077],[0.9109830696352017,0.9321939339265058,1.2486605090688825,0.7183518290710267,0.9973013092913514,0.9493695818544741,1.023437684593433,1.02645288803308,1.0380760327369403,1.0091438208828973,1.0156938737460908,0.9995231358163991,1.018242810505559,0.9769951876467884,1.0103544116721843,0.9813096159452043,0.9940089674187539,0.9636342335518794,1.0310083574602147,0.9492577473382112,1.0331214726394837,1.1480550691289797,1.1437943594615956,1.1989422342734686,1.0984513058424084,1.0154204424770448,0.9312068326341543,0.9389678130331428,0.9422383078561977,0.9265206411419408,0.9498817312634139,0.9439618679724494,0.9755820252717564,0.9263752014717028,0.9197449421338846,0.9308423067697991,0.9219930013128381,0.9722135760595862,0.9174295269571878,1.0057249633195051,1.1360088695825639,0.9861173355428595,1.051968202663567,1.1443452050234644,1.4739516278296272,1.6910857910779509,2.0860880489736022,1.3958854203683626,1.4095117214941673,1.7973708832825839,1.5698258234938136,1.8232532008281859,1.4766827309456974,1.3500682338947594,1.5973778664091174,1.2522350611165907,1.1613158721729693,1.1263205431016359,1.0919548701559785,1.520115961104705,1.1527881884530524,1.1240460561032921,1.064425923151614,1.1903901397600225,1.108163940190189,1.0490881200614315,1.1686348498360186,1.0042444862567725,1.0992787430878312,1.2273154682379375,1.3393563517544216,1.5491636305330867,1.2406560232756842,1.2214978842178297,1.0600849534518968,1.1977945949992421,1.0233736379367544,1.0185974701845324,1.0533765165293,1.082838458116328,0.9294701938193078,1.021107252738966,1.0070912708781132,1.1306268672581372,1.0036605133982495,0.9220364836895294,0.9165551580069081,0.9713320373256573,0.9291687925355041,0.9297710627275563,0.9759616052129767,1.1298162218469876,1.072990267042956,0.9792759070955749,1.0090677503689003,1.1053859738733698,1.249280060141055,1.0363791917427012,1.0089007983613185,1.0057962644020324,0.9610580045885897,0.9625594002197059,0.9662907410242407,0.9889313090596139,1.0526404911586282,0.9870457254608219,0.993124953150205,1.0164947171274255,0.9267448461649859,1.0399617991613015,0.8982728789310908,0.9835777620752602,0.9880674405774211,0.9846431922096242,0.9801427281040036,0.9845205856479522,0.9529383809156947,0.9701516579655722,1.06751082612234,1.0193315701428691,1.0597153136276498,1.0186991660979396,1.0004405832919174,0.9728395407687589,0.989086724994782,1.0730848666364925,1.0936761889553475,0.9804157645892313,0.8979351864093893,0.9695316457614744,1.0463419822057176,1.08782300765807,1.1206322173370473,1.0449758474056514,1.036372032112454,0.9761706257296817,1.0415652347049231,0.9205365993429552,0.8465906518097871,0.9370963308621804,0.9712999065681855,1.1446350326193306,1.0230541426323654,0.9794426589918653,0.9577846286309807,0.9637327072221636,0.9418306183754527,0.9415490013711839,0.955893979670532,1.0197140061423198,1.0045260751925231,1.0267077358309191,1.0944016079805583,1.3747165267375023,1.2707659426063418,0.9785268289419308,0.96584653999238,0.9841360263912258,0.8967462426077102,0.904886951231368,0.9159986077394303,0.943684089125587,0.9682112232957265,1.0205753308107337,1.3407981996391554,1.176260394476283,1.1695356171402054,1.353476255975958,1.324407189180162,1.1388223836813052,1.0863329751444073,1.0027431812755636,1.0178399352712861,1.0029805770412665,0.9757988138603098,0.9629055248631658,0.9460633405337951,0.9763795854517983,0.9910894261107995,1.0232350415995222,1.3183075850167332,0.9974833772828564,1.129877019183094,1.2045119080824396,1.148663744956093,1.2603434238451072,1.2437204676379126,1.7350522295215987,2.0183653160353647,1.7265690649440508,1.8163225566767647,1.3798469391299943,1.371174048637477,1.3942803154768855,1.3855127335013486,1.5219714843686356,1.3228545596065857,1.2756705990455748,1.1237597926738663,1.1512817554025794,1.0244376983966956,0.9288851031577144,0.9022749786103633,0.8959686702518243,0.8934308166696401,0.9085211034436048,0.9732998527804733,0.9301090517460606,0.9457029956827433,1.1355348994829335,1.17401490193679,1.1635558090841647,1.2667622439935051,1.4581410518061855,1.4835074240214208,1.3409815256354178,1.2859422703494368,1.1574179273024734,1.015571891675534,1.023856893218973,1.0999443561252142,1.4795344185410582,1.2853254097855493,1.23762042951357,1.1222393933506118,1.1235738265446322,1.119448988755402,1.3575590325608982,1.2417022675801623,1.1743242181363414,1.2753748549203465,1.484050838479735,1.353555585400505,1.3679684770454381,2.039205562519404,1.9017527938558316,1.4881666484435245,2.0725155771912083,1.1630797576729919,1.33351278995237,1.2717850969234674,1.068391127433282,1.1961595927320408,1.1103199286561922,1.2720618579667438,1.1428526255137226,1.0809782409801634,1.0641434180138056,1.0437829474941274,0.9077088985922547,0.9455723061798135,1.0606185886918267,0.9818788325897924,0.9563179720362673,1.0449901950854636,1.231744801498033,1.0782220212629998,1.0076564073143335,0.9642789490684242,0.9007462430255432,0.9073447351096303,0.9322384609283026,0.8992585799417627,0.895380049982555,0.9720027858155055,0.9847279847844909,0.9693135382102603,0.988430155077888,1.178428163794793,1.237166161756038,1.0340201026107072,1.1737323645294175,1.2732473144960088,1.2725232691806136,1.1405816915467473,1.067057970090718,1.7296012482359915,1.6445240751053118,1.2639705306154114,1.2677237506895476,1.0911010793403308,1.301856748346534,1.5570549783227776,1.1306549412141178,1.0017571622361778,1.0262512861903799,1.0523502795388178,0.8976017741016388,0.962715426194005,0.8815450425008817,1.0791278510952813,0.8678461601708373,0.8650338035880576,1.0721812596405282,0.9051301417545731,1.1318927302210653,0.8934733795845642,1.0555170778599485,1.0466720746442906,1.3322554806309506,1.1310643566237313,1.9955111195889954,2.183390968377461,3.2614790666172238],[0.8266894880602579,0.8197901472324364,1.1884948714288017,0.5435093454793655,0.8695145192346866,0.8125045550758636,0.8646415996707952,0.8560225368099806,0.8844432172235647,0.8334077045718816,0.8408594804165956,0.8318672906977206,0.8453974354018219,0.8123180954859935,0.86624540991637,0.828277807286264,0.842733710730953,0.833979863942151,0.9453089082875838,0.8355171999583063,0.9542099311136379,1.0655730580624683,1.1178079020668736,1.1885850929675366,1.038443421152439,0.9345786120088293,0.8219116444794651,0.797662046630898,0.7981802036312973,0.762396211044093,0.8174832515761506,0.7825425057839738,0.8283853867593821,0.7966708033261697,0.7641919481416566,0.7923886728448378,0.7487058173437585,0.7987007584273018,0.7562824243073536,0.8593075891814215,0.9868149327370517,0.8861428260598525,0.9642487723923795,1.0772641010607908,1.464962370578276,1.6791088197182003,2.0353938626214743,1.3291434732851135,1.3153685161337862,1.6126100735386515,1.445187086902164,1.7292355823677537,1.4146635598506625,1.2650632157476807,1.5780644901222498,1.1620384309087237,1.059706780650513,1.0228654459657718,0.9792897438343409,1.4713778390480545,1.0513304523082294,1.0164840334680703,0.9472131853132009,1.1032318005249881,1.024848638649726,0.9394811155358015,1.0727155017736885,0.8966195464206601,1.0164455442027849,1.1254684917746751,1.2643634087869293,1.4945417499239473,1.1653159078493702,1.1474091304874625,0.9574305607323538,1.1031356737124334,0.9145212513241854,0.8977093786102629,0.9298457305106492,0.9555239952848712,0.778751727388207,0.9350027601297739,0.8400360284537721,1.060835979729413,0.8480867685801721,0.7479018342210622,0.7725028834755304,0.8526120120882296,0.8019541834563368,0.7970264446141725,0.8576683471627602,1.0314035453218053,0.9658198592930374,0.8381532750329999,0.859197910650368,0.9649073166396295,1.078597183557745,0.8700819976723071,0.8375779761463449,0.8304311580891611,0.7946481515377254,0.7985772168379613,0.7857416429523949,0.7787095263458066,0.8576819250313252,0.7585468762130978,0.8011996148963093,0.8518579781929154,0.7279312880804247,0.8115489386203866,0.6785800010321743,0.752555672469685,0.8038356737444718,0.7745483595053876,0.802391787640527,0.8137369760326263,0.8049800251426408,0.8443259420209669,0.9762769496677781,0.8943519143353276,0.9311980694859237,0.8543078562180785,0.8333628665501636,0.8116685078502102,0.8388587222788649,0.8836047371231095,0.9551437584445107,0.7791055689475112,0.6738770290988253,0.7424759120411734,0.8533520879466105,0.909306353296228,0.9153330815347447,0.8399474618230343,0.8107306952397214,0.743135450310271,0.8016672181522093,0.6731920251996579,0.6113291875872566,0.7196956803143747,0.8081700027684037,1.0153140971855663,0.8983449033967987,0.8062741562115816,0.812371403347073,0.7777363512504666,0.7586080636565212,0.7472201618557992,0.7590105067525668,0.8507625879581477,0.8174621585317576,0.841370235927738,0.9331725190533576,1.2634007506877507,1.1091186430525444,0.7863803735003523,0.7773218093265167,0.8014862649031974,0.7062670076267908,0.6973866657612151,0.6962744375413764,0.7314118781357434,0.7458194579437228,0.7960573392325723,1.1386420325738544,0.9653589488961286,0.9111217406910537,1.0903609862376644,1.1013534215756668,0.850499393404654,0.8253785329404975,0.7403371452126398,0.7535961784897628,0.7446864440412949,0.7314986359041883,0.7335992994921007,0.7552463863686935,0.7697531774170491,0.789850462075408,0.779530707692853,1.092597441578604,0.7455297354208102,0.8792087726993857,0.9771758196110076,0.9279891005921201,1.0458954938528306,1.0696933086547198,1.613409158912005,1.8382414182587794,1.5402550502063017,1.661521939002511,1.15200242698633,1.2059804637616178,1.2162267803193625,1.2344339104312223,1.4340734107923716,1.1862163179750713,1.1665400473942313,1.0153917544453626,1.0011247164395667,0.9134697175147084,0.7613670639606138,0.7222865760251446,0.7582812706838601,0.7568210444510806,0.7457865568481707,0.8556184715115855,0.8311721664118944,0.8124016199272706,1.0391910574407495,1.1157572448053403,1.1021857403030566,1.1848338242794914,1.4218708789405607,1.478833790337466,1.3354445339030927,1.2598993050566851,1.163702342664902,0.9627619994032042,0.9683107278673344,1.047346672317627,1.3694793098415494,1.2067947909760124,1.149935618170453,1.0802619785319532,1.0884278462319599,1.073042140959844,1.3411492002753078,1.2380561810795345,1.1427381868208348,1.2507439065939898,1.5182830844166133,1.3710314496084197,1.3394419950647845,2.0450794673791513,1.9251412183085737,1.4882226605066131,2.000888224990276,1.0951696430644293,1.2591417147891713,1.211626563377823,0.9906915126214669,1.0787641668635255,0.982144620767199,1.1256713694633063,0.9992415994743635,0.9509139748848872,0.8684918038529593,0.8584944478380154,0.731248015553161,0.7673476901496951,0.8824778020497578,0.8307443621772597,0.8113046385983008,0.8920424131839061,1.1136237256091155,0.9737281146385746,0.9052471271088749,0.8723869742972659,0.7840779801920136,0.7724372207847177,0.8429263530980877,0.8204762507680392,0.7967904645879548,0.8722679875509386,0.9273082829602353,0.9058470074131627,0.9051462843163399,1.1524616340278409,1.259604942744903,0.9967401772033039,1.122000066532346,1.2863635999396061,1.3148313744387041,1.1485327717609661,1.0521766563734753,1.7913258347204553,1.6215657230304026,1.2971443997817966,1.312925696670926,1.072679477147277,1.2767661625310247,1.610181575075673,1.142943398470124,0.9971620773669768,0.9180852178354729,0.9382712427380975,0.7429966498748746,0.7980871869995914,0.698252259145965,0.9311805278362563,0.6540373809052834,0.6650119832347615,0.8077529535574985,0.6949874399275847,1.0066980502419598,0.7410811659842537,0.8934476681359292,0.8911188557040773,1.2572353486347707,0.9646375196634291,1.7761535695527635,1.9167589375027478,3.1211576377408057],[0.7680948596935011,0.7550176234815771,1.1544684378296404,0.4753938565832534,0.8228830990455596,0.7570785757089644,0.8152864392984305,0.8154300988698227,0.8395250400586565,0.8013292215617377,0.8168345632421746,0.814615332264029,0.8405785429867374,0.8004444501641146,0.8725581618970205,0.8408611665816496,0.8638140079813914,0.878794072414336,1.0106276341074127,0.9084000782435249,1.0421507162988206,1.1686817623467247,1.1858469253313368,1.2500024312363587,1.0811775629459135,1.0091150411539562,0.8834732859210274,0.8542499907891219,0.8462657519649438,0.799645437496955,0.8543315136356905,0.8113503690576542,0.8558408743098043,0.8457494457431444,0.8197547865038335,0.8527603328760445,0.7998519608012075,0.8756398904948676,0.8280107339263323,0.9399262624327125,1.085126676885608,0.9687085997348174,1.0635005064646514,1.1652308068393404,1.5513652764202641,1.707905667341529,2.0823959877013807,1.415613544012755,1.436944500269246,1.6091018310073715,1.4965267349867803,1.7511619265193337,1.4612849599934008,1.3184120968712447,1.6064237586816672,1.2338255186499612,1.1373999773841579,1.1039932622562945,1.0616415830852737,1.5430370042126806,1.1458056469198425,1.122196852976844,1.0518212318263165,1.2160352697996932,1.1400585475253437,1.0416352495609398,1.173779691831311,0.9766892531032448,1.0803008283059337,1.1800381512250642,1.3236672850432807,1.5732777388634989,1.2330022439752715,1.2104847885377734,1.0265366685662303,1.1760696837356617,1.007521537339043,0.9883840121106823,1.0211909826117076,1.0567478976701719,0.8544351410692439,0.9805180603029067,0.8944455611076588,1.1086718819757755,0.9022549999340123,0.8121045534111776,0.8478999131452961,0.9153402451831423,0.8797773958096953,0.8607209064029115,0.9213646667934304,1.0796489141121668,1.0018634654969252,0.8788253491039083,0.8846687374915705,0.9946257188654845,1.0905359489346726,0.8741206794993772,0.8281156539769795,0.815782014061674,0.8081857155715481,0.8080944701879036,0.8203648278604063,0.8094933230319169,0.8912071271109163,0.7963500710988931,0.8462831810474571,0.890561210210338,0.7531300271727983,0.8242790161029375,0.6709242660790956,0.7569512898719061,0.7859213572716883,0.7720428961408102,0.7968309220318816,0.8141247985302403,0.8262700308468398,0.8712039563045673,1.0263125476854489,0.9306705419871071,0.94819534896417,0.8541307108294746,0.8241557914894522,0.7840017807095494,0.7984555556546556,0.86331285999592,0.9269385089367482,0.7822098824640372,0.6897192954564423,0.775696512141862,0.8778473158810949,0.955687521051556,0.9662929742645135,0.8950259529165496,0.8543651938000753,0.7757286582021549,0.8076283355978501,0.6864468428056331,0.6218968469447225,0.7517400650791869,0.8467061748862784,1.0740830856226056,0.9701020232492094,0.8625826008615902,0.866051895639937,0.8280563951935502,0.792809627547123,0.773714354836397,0.7739246085537943,0.8380507060710148,0.8057132233023107,0.8141179168959424,0.9138854716015562,1.2443792537514275,1.1004455724200977,0.7698600704924302,0.7648296162589422,0.8021045879623494,0.7204023229089923,0.7207752129138921,0.7386827518197813,0.7816840877238251,0.7999994918917295,0.8669773313582112,1.2420864629781148,1.0217885232198585,0.9674989219773441,1.1204748305062748,1.1242872286762176,0.8782432058551616,0.8670812300937859,0.7855419669878924,0.8128010971451718,0.8056161445996723,0.7921680261865303,0.7869367576068043,0.798167229369806,0.8306398940379776,0.8611992003123244,0.8522077777372399,1.1593244731204742,0.7976174053526899,0.941307436786838,1.040597133961433,0.9889505290980092,1.1222413949243875,1.1386875249659105,1.7250210656395264,1.863446770410148,1.6152135678758555,1.680121293795871,1.207708928833593,1.2445536481046542,1.2571768690666825,1.2809289255612504,1.4751142662084398,1.2117959879680837,1.201628782177872,1.0462929029075219,1.010516494179214,0.9466543916509115,0.784415253417226,0.7351392815155965,0.7775093698728335,0.7794015088855195,0.7421181197338601,0.8382968640162973,0.828978254475618,0.8063415370425786,1.0096296533421996,1.0898713783496239,1.0857134340578631,1.1573673505928714,1.3876296277842346,1.468132312391539,1.322643838246397,1.2618109081185154,1.1677955967584057,0.9709572737116866,0.9833243816296952,1.0957629511858753,1.397957189862142,1.255345830872423,1.1895487026249343,1.1416185606072486,1.1532610128332088,1.1306701589085473,1.4081364655583914,1.3160269622928322,1.2028363841309022,1.3136790352895364,1.5977625989182507,1.444156358293651,1.393703677556024,2.1028951760926007,1.9898416237779613,1.5406428139113812,1.995504661470804,1.1409845090252613,1.2906273931855077,1.2608246256570863,1.040906362854867,1.1233122064736036,1.021304870743419,1.1469870598635243,1.0318859022318663,0.9815859470391016,0.8784791818714073,0.8659262192883876,0.7420756321659167,0.7653024819507549,0.8638267649780117,0.8159388641604182,0.80496434501992,0.8761186079331119,1.0942483602610897,0.9611308037528266,0.9039021647836352,0.874965306492915,0.8060564884229183,0.797316542910586,0.8921734754119636,0.8589104481014213,0.8187913564625937,0.9136654571428491,0.9805697423409303,0.9469573824552567,0.9463409279423791,1.2184203299205403,1.3228396150518116,1.0341275634647158,1.1785291564965903,1.3682049377537828,1.3947271948396134,1.2045770086244896,1.0672500220162422,1.8352185634943492,1.570957555070646,1.3023052267060484,1.2908262683205916,1.0476766373684603,1.2349537969518252,1.5533917476176575,1.1008986738085453,0.980016226921571,0.8904282796390367,0.9374237055992637,0.7357951463216043,0.8140945477447022,0.6954077703083267,0.8967383091591491,0.6472666176530913,0.6562500688965248,0.7933308151794064,0.6660840614618476,0.9699207698362844,0.7050774432722943,0.8741631693009628,0.824474619047727,1.2192149930159397,0.9341404898317168,1.7150548493223967,1.8420681378638237,3.105940255810357],[0.8026645877038295,0.7595610558308218,1.1233584843476423,0.45416798676745707,0.7739090885114555,0.7326806796447822,0.7608223988932606,0.7471308708078752,0.7779744331784847,0.7358008486007384,0.7439137139659594,0.7464826495523591,0.7618442762545864,0.7230859014023755,0.7747702671910404,0.7475840782736827,0.7755374515189755,0.7804910947394649,0.9086114438904597,0.80514844647061,0.9429597022217517,1.06348720054516,1.1128246639264958,1.185902473187567,1.0259790966529705,0.9172596203480814,0.7879516549148696,0.7502352309607496,0.750621466004514,0.6997490307506928,0.7553713430737656,0.706147241950075,0.7597880459467744,0.7367467278723812,0.7118469486041858,0.744891611389922,0.6978453269324412,0.7719517703535259,0.7156150849082141,0.8294116186018228,0.9622707404036152,0.8661623808647708,0.9501052771977865,1.0763071730028293,1.4828985627968199,1.693536404902446,2.036399295209767,1.3330601537111528,1.3117871964143113,1.5646671638730123,1.4232867351391467,1.707823392149416,1.4167176849832288,1.2490245666705246,1.5904610432540787,1.1546562835503045,1.0494797453887816,1.0158977474422641,0.9707225669922975,1.465119793145879,1.0310069763414431,1.001545229809673,0.9313413263456126,1.1092780975509984,1.0229464192248754,0.9274232192941353,1.0726064074480925,0.8598903962224321,0.9796988065710458,1.089806068151683,1.2264412654169892,1.4659954639224253,1.1409525247722476,1.1306986990652999,0.9279357800712545,1.0880365902018307,0.8886469138013144,0.8623410163418462,0.898021660965535,0.9311730195686427,0.7470195609440861,0.9206489732821183,0.807015624293839,1.0346177958740084,0.7966527877600027,0.6994237109632376,0.7439029425049898,0.8055213545117049,0.7672337618218917,0.7596696406072921,0.8083207338964865,0.9792092353004551,0.9026828350988126,0.779464246957904,0.78821458775837,0.9013232775558363,0.9983282389136975,0.7792392911912803,0.7369780702052293,0.7352646581030685,0.7198126541634513,0.7299340505733057,0.6980903115841857,0.7241387516920458,0.8360330006136096,0.7053788281373465,0.7757562664706905,0.8458271019569868,0.7110815073080079,0.734979051838748,0.5893870844615225,0.6571647383300647,0.7068652480862087,0.6843779187333731,0.7238102394714776,0.7375288357325337,0.7339951777367217,0.7884914777465085,0.9395317978067586,0.8361844653302167,0.878163262097318,0.7826038922376396,0.7601943276447893,0.715545643939492,0.7400619018479008,0.7780349435843712,0.8553316173075839,0.6948635695690148,0.6180989479657314,0.7138730945557307,0.8485976505558586,0.9168735674956293,0.9120761986282635,0.8254573373824734,0.7870373681116409,0.6812423364532226,0.7394048113337657,0.6221760675823264,0.5480006843934979,0.6672439522538766,0.7853499226191424,1.0238014773869792,0.8764704345572727,0.7676085841298581,0.7768652971091584,0.7250032347379772,0.6952733622024272,0.687338800678325,0.6734047789758497,0.7541269762289864,0.7238129881414871,0.7224714939829262,0.8295864903709693,1.2028869303069034,1.0374207938115172,0.689178878487551,0.6755594196359855,0.7140240005524292,0.6334379738808634,0.6389148915419596,0.6484193493660312,0.6737383981958239,0.6956380631074368,0.757558076169077,1.088772359144588,0.9591544845196011,0.8858325032910994,1.057668230412818,1.0703635116132868,0.7988150826752005,0.7904999160687407,0.6976218610085952,0.711670769981017,0.7019666306299681,0.6842252207490979,0.6839891747722436,0.6990179899788137,0.7113029215532064,0.7365211451880832,0.7387871942030136,1.04965422317668,0.7097078774905177,0.8507985085109783,0.9515857760557229,0.9031992117298796,0.9978641628877061,1.02764768233225,1.5850262897671343,1.7832408366227888,1.494174571383882,1.6277671014902975,1.1130553716175824,1.2012497515682816,1.2021569033069308,1.2549526791591297,1.5114031179974294,1.2255022643429425,1.213961815829001,1.0634374754529878,1.0295083487864904,0.9505426356007203,0.7606616459498792,0.6972525194818388,0.743542656087557,0.7481747360998331,0.6854718262610598,0.7755138951131113,0.7817188809636679,0.7602995137475727,0.9750287857284946,1.065216229242828,1.0667002863860406,1.1493986690886706,1.3909668466747949,1.4757871389335948,1.315490671442104,1.2585976297292278,1.1387511370326688,0.9363806737987131,0.9613887023996214,1.0729686649279415,1.3812332377844039,1.225075712436649,1.1936646781514915,1.1465790020123376,1.157708441724551,1.1384781299565438,1.418650369012954,1.3441096513846806,1.2164160330277582,1.333959152286884,1.6396251906538053,1.4830267763903873,1.4364156463729494,2.1505827953345804,2.0517803054041925,1.6081797995264588,2.0698687279274304,1.1685397415581587,1.301808756565637,1.2706999330502062,1.035196225716484,1.0892776131594484,0.9845961203880309,1.1123373785435704,1.0005855510623338,0.9421530182979984,0.824996931431535,0.8215024075617532,0.6985588351649812,0.7114258506919667,0.8002941242879429,0.7722724065881934,0.7577691837001546,0.8388276998118339,1.0846290282649302,0.935673827643658,0.8791588199119852,0.8393654850628617,0.769358664593266,0.7621709419234375,0.8782352488976403,0.8387152371253903,0.7832083314328486,0.9029583290645731,0.9704898046632177,0.9225111593208687,0.9325154846997155,1.229816369559895,1.3195447635573985,1.016709858638734,1.2068548358730251,1.3965449780518562,1.3944864592709445,1.1929699543575119,1.0262799894662755,1.8111139775199536,1.5183649492802023,1.2774300604404147,1.2634083484024963,0.9994965781893964,1.2120176934560745,1.5335162559539524,1.0467065311268624,0.905817358319182,0.810518327411074,0.8887018151501974,0.6730720985042649,0.8022563261969622,0.6182531846400146,0.8220643522636452,0.5919365462616207,0.6052791246677219,0.7472796553679796,0.619761106274268,0.9355969040367448,0.6837809271354494,0.8601985764186075,0.7962907135325495,1.2240523192221076,0.9328166609808607,1.6515158458861687,1.7686122869501744,3.082772874321875],[0.7136094885658475,0.6489958641334778,1.0369295933337848,0.3744894578464052,0.6232511718990887,0.5991267558877659,0.625568275732314,0.6172898383519969,0.6727856863509407,0.6348751196777085,0.6574592259280576,0.6563706035474431,0.6678505783840614,0.6617410557424541,0.7373780026350312,0.6824794720172823,0.716280573622649,0.7494850567798084,0.8887802601627902,0.8177572330912349,0.9789530198468261,1.0982198347896397,1.1403833637466319,1.224817730872904,1.0588381100004776,0.9487005473604377,0.7865915639031562,0.7210418938597046,0.7039617517694092,0.6438952830358732,0.7273613997094659,0.6497715466578484,0.7098476352928227,0.7030887252960504,0.6775511641588979,0.7224824824094307,0.6529066529628705,0.7455374307962157,0.7046625699996221,0.8265248568826655,0.961767171432461,0.8735934456298957,0.9747997630103515,1.0971087088841023,1.489158826267849,1.6853135390915996,2.059349135935144,1.359928484391661,1.3433305544376253,1.6102589541272787,1.4630274629975917,1.7413313168519067,1.4304400215360429,1.2712415236018464,1.5894400669886835,1.1799433625029379,1.0848998203437048,1.0317487841803352,0.9996816802476531,1.4963780586695965,1.0841522466578621,1.0489974969807703,0.9654251800186731,1.1654723657441366,1.0749097306381488,0.9582615275500922,1.1215882899586238,0.8760471215428929,0.9785199686684866,1.0811996310978547,1.2266137180174848,1.4820684438878036,1.1530809596358398,1.142696957719714,0.9409096844551184,1.1324815248173292,0.9032198560874245,0.8723404790490245,0.8917536768436981,0.9305348727046459,0.7294774684788832,0.9051158403866748,0.7782439990562248,1.0247448202839227,0.8050099069139244,0.6760115734159186,0.7286004756238178,0.7698605716124672,0.7532967160375422,0.7330945138511997,0.8050042140081366,1.0125884908054223,0.9114169257027814,0.7525347003311483,0.7475397015754397,0.8780743875106302,0.9503227025084596,0.7181700433407562,0.6569274368029903,0.661855206222605,0.6278509181971984,0.6447983746135014,0.6215735732371129,0.6331538212896419,0.78314935634927,0.6320759341691838,0.7300031857023033,0.8437408422069472,0.7096479379286906,0.6714904049807257,0.49107490651221725,0.5471088427222056,0.5731847960901074,0.5772078637443818,0.6359297060409582,0.6594142591274892,0.6882822371623365,0.7586199627820815,0.9457396072244105,0.8060509768899528,0.8486173009377018,0.740268051400187,0.7126748011530041,0.628723444100669,0.6274887246863461,0.644937068193143,0.7120769646686844,0.5831789262858589,0.5580161983341919,0.6891599999320752,0.862844600416076,0.9202698960189885,0.9175376403080546,0.8124225182222284,0.7785123671047562,0.6542355887305139,0.7330560970376229,0.6035297840707391,0.541702494094122,0.6274866788258986,0.7586847333140923,1.014801961458575,0.8544056614255644,0.7247253377382068,0.7635314392101525,0.6780478874378711,0.6386569228375267,0.6106072241207803,0.5715727282267812,0.6514962079770997,0.6135247437495867,0.6275650809138634,0.7641185070166039,1.2122899443557917,1.0465803669565175,0.6022982354318729,0.5842050494328229,0.6006718674729578,0.5413030549148214,0.5520938259133804,0.5732664195719797,0.6241621300925214,0.6480211431690933,0.718841884450643,1.033673866514827,0.9308046339798354,0.8775540565811369,1.0654311929940858,1.0724658859187748,0.805322867026982,0.7812918497327861,0.6647520577657364,0.6758942538734132,0.6537785279414127,0.6282188264746338,0.6153956545069074,0.6288742218332645,0.6452936614437876,0.6845948920852681,0.6747833356480113,0.9977496494539042,0.6574906685234347,0.8182148353159683,0.9381148068684205,0.8870911534438438,0.9834165166344138,1.0260678582338156,1.5818171521983735,1.8130488717182776,1.5037278441761242,1.642517722485513,1.1115359744727766,1.206780191452129,1.2075034573806727,1.2647660140241777,1.5535889543730192,1.2647088184962176,1.2492584591914346,1.1257874709489286,1.0901134085064696,0.9960792993134977,0.76626018180872,0.7016462398731473,0.7622836044425865,0.7536187571164206,0.6246841809199094,0.67961158038624,0.7305097276286013,0.6929441876223652,0.8565288352625114,0.9518139243022842,0.9821256542836305,1.0540445795284406,1.280225098992552,1.397268236554228,1.227626744656548,1.2107191595152833,1.0722785976496927,0.897846110360534,0.9342631671263967,1.1166346946367813,1.40530630764556,1.2621860093447466,1.250979075884264,1.2092378184536186,1.212126070071017,1.1779385355951468,1.462904637217869,1.4080898270401767,1.2729777647872165,1.3861296920875101,1.7150030539888312,1.5703293307041382,1.5145358435853467,2.1985318868991457,2.155998218157939,1.7270656137180878,2.158351267546647,1.2532822978554237,1.337584063432206,1.3078029582522044,1.0559541198308464,1.0801008198893522,0.9549853345068409,1.0746265654936218,0.9731163749833064,0.8908295951689983,0.7785856047945697,0.7772564145351053,0.6654365145832979,0.6617516371118818,0.7412820803263115,0.6969174655241451,0.7055022488742352,0.7851760563996156,1.0448753014381056,0.8766231201616579,0.8427271665098716,0.7980105332469838,0.7552954717999779,0.7481782161787079,0.8911838602668258,0.8534520002855804,0.7754479166710758,0.9395121856704032,1.0222121068331846,0.9506465584241974,0.9836809976581639,1.3142195815639524,1.4051901080277482,1.0745745492452143,1.3158301445998974,1.524079822253299,1.4979395252636127,1.2832554244127414,1.0278221679015394,1.812981269687121,1.390642544608615,1.1963288758508073,1.1069198536240075,0.8706104517969362,1.0440099190090295,1.3017242843745653,0.844758335480102,0.8058069374870351,0.8420341009541881,0.9405976719279651,0.6267897470830605,0.8468096891171585,0.5536670042247839,0.6739832237157624,0.5236540823267828,0.5246052649582496,0.7075732162816132,0.5101071264501954,0.7962649887205078,0.5698932400761838,0.8007958523557628,0.6579740121938021,1.126459904506337,0.9212106786672017,1.555966860354271,1.6723168500625873,3.067675918676367],[0.6866024911096827,0.6183722408492434,0.9833360458524766,0.4057316892035431,0.5376536780262797,0.5254362755781202,0.5243090046573284,0.5268437798470258,0.6017226426694529,0.5598366971824703,0.5948325550098736,0.5866733358688223,0.5765928249447677,0.5998946225300825,0.6741987349253592,0.6013905707061309,0.6519580646249886,0.6814199659277237,0.8131639293226355,0.7611669849679273,0.922084191057703,1.0342253443746114,1.0827274682312715,1.1800728830815113,1.0215656396363182,0.9055516159392863,0.7343936324487615,0.6431567534847273,0.626038583430444,0.5652849382336739,0.6736553666270118,0.5764915114575591,0.6364882217215371,0.6344720145238479,0.6102534437396363,0.6538523028164333,0.5746808184576604,0.6698443861775498,0.6312892838921477,0.7424112328946169,0.8806278936182986,0.8052321755704451,0.9048455640107388,1.037760281982052,1.4229420590002382,1.6563180333851906,2.0307104779951,1.2927036505259766,1.2605992729507118,1.6188618436240874,1.4151001854487677,1.708063237341678,1.371736610960373,1.2225812446351467,1.5484676723394657,1.113312502422702,1.022728481638108,0.9724750350773479,0.933995914322095,1.42099180941072,1.0242468723854998,0.9838085728942979,0.9035393287574801,1.1141778401759124,1.0119953521821672,0.8975004069273768,1.0727015242970386,0.8191799509981197,0.9343662291468094,1.0508935795240866,1.1810994875193193,1.43762423695376,1.1247664036713665,1.1236509044617968,0.9017102244039534,1.116499582978875,0.8446962236309333,0.8101810945434498,0.8147884293266958,0.8577690747705469,0.6539138851559986,0.8568016331674343,0.7223302539148255,0.9763450387533913,0.7596927107077808,0.6096839766644239,0.6576359511913195,0.6928215004788848,0.6821021411371303,0.6800050701224942,0.7530207036964444,0.988685019122427,0.881038132197253,0.6971913106054478,0.6865033980118336,0.8331717146365609,0.8888924795329118,0.6565103610054099,0.5956042123706735,0.61286536857078,0.5535688429221376,0.563985314132051,0.5295355914379589,0.5312538487466542,0.7321497630858378,0.5627861954237999,0.7130639351166879,0.8673279588354638,0.7720547384317258,0.654974139860237,0.4821804923292288,0.47178381119003293,0.4652428439339744,0.48371637687215263,0.5477542987861103,0.5751440272323577,0.6238122016078217,0.6979686088595018,0.894358930839566,0.7350393149948826,0.7866424214548611,0.6968238471695283,0.6665321119719759,0.5475669030523216,0.5272497286284017,0.521848550863562,0.5753833985235118,0.5043433648528334,0.5568911390157023,0.6974048109406372,0.9146938975218574,0.9367749945340282,0.9315739317588467,0.8088719091744182,0.7887095256328581,0.6563973246499728,0.7836589688632357,0.6325701081907901,0.5438911675116662,0.5625573187493311,0.6907904556604386,0.9436537952346411,0.7666386196720737,0.628036642954197,0.7054452383777849,0.5862023780646896,0.5480277138102203,0.5259623850739964,0.4750185231932758,0.5389729651571394,0.5345368291333309,0.5461327272487302,0.6955291651968685,1.2267479798230705,1.0594533198614118,0.5425587486164815,0.5156976237242198,0.49989182483702393,0.4642801727989108,0.47903858480262124,0.4952337653338927,0.540402293385022,0.5625995981775466,0.6294808450326645,0.893493340193104,0.8585248987430615,0.8431426743290487,1.0594346096977036,1.0952649589258976,0.8295150292521903,0.7772720508394156,0.6269365676639036,0.6249274967110205,0.5814428517343834,0.5435526777430904,0.5386617474351969,0.5448789808139629,0.551402013905794,0.587437323403992,0.5881851098143619,0.9099637503545487,0.6022428944986448,0.7726202880903449,0.8970630640573624,0.8499987157608483,0.918531362087135,0.9714347562695094,1.474205105453474,1.8274136375379824,1.442406989552307,1.625730396345808,1.067719349860406,1.1930031414901525,1.1939797701246881,1.2562038068743948,1.582043929585136,1.3062178948953163,1.2769305925071877,1.1899208568534145,1.183160912625181,1.0354743889899571,0.7938623314163349,0.757672071368262,0.8037854977407295,0.7637516314935565,0.6041896905553518,0.6395482831161332,0.7044321709425874,0.6538353366258487,0.776754753156406,0.8667491752622598,0.9172954528911796,0.9993596838947415,1.208786546826507,1.3300836875912287,1.15184845497412,1.1795996366282435,1.0121739019997136,0.8615794564038384,0.8988349822648778,1.108406575180765,1.3750703499017882,1.2479822082155265,1.2912989581208614,1.2192803356552742,1.202629438023528,1.1686467057871146,1.4335787117986667,1.4051534052183126,1.2798000996482906,1.377167614752856,1.714301789262371,1.6002839992519449,1.5536069019809071,2.1940136992216575,2.211233374094967,1.819348432082833,2.2760264023073726,1.328471819369815,1.358606253167425,1.3010188541753809,1.0350992067988005,1.0327880919506878,0.9050905611443716,1.0438717879855701,0.9384137157556609,0.8399078336950854,0.7480518185546586,0.7689713023033807,0.6500157986054088,0.6355483256955629,0.7312552820110928,0.667016164402619,0.6781694777837337,0.7701138459999147,1.0332810307523508,0.8373745246386615,0.8150557692015619,0.7626085577998987,0.7298106354405118,0.7271788963072751,0.8626421674926874,0.8392444305241424,0.7580722893566757,0.9464287541190911,1.0351484126902677,0.95628849127126,1.0172510685583314,1.3492347113781522,1.4538313977971713,1.1213564518915513,1.3972458256927993,1.5762298042957221,1.5538256516611209,1.3603280724596154,1.0666902601434887,1.8116861151201966,1.3700390685912107,1.148688631672636,0.9829663759117534,0.783486224062092,0.9142682204762813,1.1030290189435572,0.7284601042162014,0.8389020834918216,1.0155327138250239,1.0499542088039435,0.6825873836999529,0.9432161527977012,0.5665166042656954,0.6155823635479846,0.5415671187415385,0.5215870619052224,0.7571884745879279,0.5219703928110013,0.7301839086143326,0.5580816201734498,0.8132482278693409,0.6131935233125954,1.0677491042776115,0.9579134370742027,1.5334162882861686,1.6371044448070073,3.047764003295487],[0.7867942887053112,0.6879810672145543,1.0350372827482563,0.4722209834134442,0.6036609279008648,0.5764455960331604,0.55167529384411,0.5442595622669125,0.6302502760633941,0.5892039379951162,0.6197869495848892,0.6072748402169967,0.5943299533685414,0.6246927503677175,0.6947161542125991,0.6201958378238897,0.6630651071529197,0.6961490820692409,0.8358041620013358,0.7571652479101936,0.9276289460317426,1.0387209711984688,1.0838974218798219,1.1817958804653357,1.0088131609476836,0.9027678707294907,0.7250754897894781,0.6460063101460897,0.6345696628525914,0.5717948717371484,0.6826981118513291,0.5831011216400278,0.651096201366732,0.6384881144286281,0.6056973804780628,0.649654032743915,0.5718987256128418,0.6569418418605414,0.614830323074251,0.7264409073665719,0.8674237909816186,0.7949298680879577,0.8889268530015094,1.023590039936886,1.429411338706641,1.650838985866953,2.023018686198284,1.2913692708204234,1.2648460036408782,1.5655068690417162,1.394119655498735,1.6889462015427381,1.3634882448079557,1.2019927008251825,1.5450176903558694,1.1075183123051173,1.0115366054785784,0.9571540985640621,0.9149426351407571,1.4342420221403105,1.014794396763806,0.9779005086488094,0.8984443519232254,1.1204791115185744,1.021050334922216,0.8925096069054049,1.0879450671933757,0.8311585907193375,0.9622422774459986,1.0721195991812742,1.2126555652775175,1.4782567185335629,1.1584239010942463,1.144670536127574,0.9184973772909023,1.1251735018962519,0.8413334742502985,0.8040647331957691,0.8054361620801713,0.8369920160777471,0.6380654553168873,0.8496021366833942,0.7034834910916151,0.97256801675971,0.7285927357583172,0.592810994503825,0.6442192487285355,0.6910018075702211,0.6753167842796723,0.6729324700840292,0.7501013825914028,0.980560969941802,0.8848722097165117,0.7093161772491878,0.7067171040977832,0.8532738819555602,0.9116757375200325,0.682952147820408,0.6172032830299997,0.637507746445098,0.564511701100905,0.5689498808180509,0.5188253968814822,0.5508529067424205,0.7539531037934273,0.5902101057676794,0.7641247671941337,0.8939703802645419,0.8078642666604091,0.6710449566066874,0.5195955747113885,0.4820976764927811,0.48511893300774317,0.4894448196028979,0.5641508539097589,0.5852159948509379,0.62829117800141,0.7110034984235173,0.914383937676692,0.7578573936872205,0.8114654695452306,0.7148361908833477,0.6909339351293776,0.5701943238552205,0.5550345084510127,0.5395972181338936,0.6148170387202888,0.5255748937148561,0.5759522944348181,0.7099477981851042,0.9251389984982082,0.9666046582776083,0.9479378703039206,0.8296499918978049,0.7895703442859279,0.6377496586423869,0.7538472278070648,0.5939979773452579,0.49468124052756446,0.5388583689206577,0.6949335948112708,0.953844009626066,0.7806088140761203,0.6315315833457742,0.6940652253266638,0.5843519117977928,0.5464987206275719,0.5351045768450026,0.4816944453383081,0.5602495732590256,0.5466207044266789,0.5573102955659412,0.6911382467740503,1.2611071999798047,1.0547108236254292,0.543156122900482,0.5238481873783446,0.5064982546841063,0.48352566751024384,0.49384228319020695,0.5016162764303608,0.529128178474234,0.5532258996959021,0.6193145249342152,0.9005042418896743,0.871804630031556,0.8319822342551091,1.046197860445091,1.0701355119882814,0.7855793522483248,0.7508721445206162,0.6044061876683471,0.6058350603159794,0.5686638490685081,0.5353733426875211,0.5320908324951211,0.5393445771693793,0.5444673345787057,0.5863086980528034,0.5849492096444182,0.9028686451659241,0.600717616646103,0.7702415490411181,0.8994955939306936,0.8474923418207481,0.8990491279316983,0.9452818481497763,1.4802643253912358,1.7709889700218953,1.411080973878053,1.5887578518019259,1.0455919672265748,1.1886710443303563,1.203133893911467,1.2932580554744622,1.6370470342189711,1.3197096270576791,1.3095782379035066,1.2333122863522217,1.1951979298724171,1.0918094044939026,0.8476070023484781,0.7961388328035618,0.8642640889508574,0.8451030125163473,0.6859112995415907,0.7275491310336721,0.7956849233015273,0.7515044050195729,0.8602488934385185,0.9490054678201932,1.0115849306852656,1.0915438022986204,1.2955187133768302,1.4300583900795427,1.2464361495034815,1.2694893510379124,1.0936617052948494,0.9462566817451126,0.9966850087641267,1.2289276346218654,1.5250422115812914,1.3893613220394638,1.3648523179168213,1.3286605904182145,1.3189157516629626,1.271824908857675,1.552412484771519,1.5457544667018166,1.387133627522863,1.4718112117299653,1.8331537917186163,1.7080018713435445,1.6461110273958506,2.282885319085641,2.310142765807946,1.9067470735526724,2.307528540263021,1.3977199794022979,1.3973361976598608,1.3677702626283414,1.1185251055611987,1.091788809481026,0.9856583155193387,1.0869042025176883,1.0032208496992394,0.9298250278211566,0.8135667544883151,0.8191461319355121,0.7296915870828512,0.7158322012918792,0.7778346948459107,0.743030438907099,0.7813719984435431,0.8503196922080142,1.1081161094188177,0.922138464370506,0.9184362959102542,0.8706986150104843,0.8399312782617471,0.8279882359261491,0.983885844988857,0.9572307766724086,0.8535804468799794,1.0486002973326614,1.145608389878622,1.0532590901482601,1.106424879190854,1.476095051154611,1.5645705000930632,1.2074017825021814,1.5026871113930382,1.7038418814094065,1.6518396412590541,1.4429170946872796,1.133249401868969,1.857352023044851,1.3507746258867253,1.21396942147496,1.0394293867470819,0.8572241809908688,0.9763257760882671,1.1409173233793297,0.794509911605362,0.8673754827992775,0.9769211679036108,1.0633964294273694,0.7139246620416779,0.9616894981191847,0.6060816790488646,0.6701448711728891,0.5871957103634449,0.5991156755054559,0.7475648602217172,0.5607348509902298,0.7977581687437131,0.6348532345566572,0.8131744164224487,0.6583930724296242,1.1452759260741494,1.0701616115106058,1.535563809540375,1.7440916042099666,3.198301519538818],[0.8040318953340622,0.6789187041604928,1.0512812432306586,0.37939325981061517,0.656484405566981,0.6293311301666463,0.6352746561202225,0.6180048938679131,0.6697822726280612,0.6263232296258366,0.6391890814706772,0.6491612472753873,0.6534075597730991,0.6362141045609964,0.6971606104814955,0.6626164472478905,0.7068735886017723,0.7147361591162487,0.8471375281438833,0.7671575943133855,0.9265073522371469,1.0510072947656348,1.1008136111955475,1.1879093099427944,1.0190168037355867,0.9009701837497996,0.737379275573284,0.6815710231194284,0.6723898784620586,0.6178521308627943,0.6905403322652505,0.6157782284890392,0.6718475851111404,0.6661743114750116,0.6466127581024982,0.681785353421269,0.6358973348782209,0.702105689874963,0.6696719783831124,0.7817937815470718,0.914702905458261,0.8320823931989054,0.9197291122409524,1.0528181356648703,1.4694635460222782,1.6846746262812269,2.022537412028344,1.3181588759596083,1.305186039696152,1.5307967284698891,1.4014760448547194,1.706641389034751,1.4185278085758095,1.238465206430301,1.6109041343320132,1.1644835501922313,1.0497128087191927,0.9918312068149306,0.9624965844262888,1.4652178609127198,1.016338317341695,0.9743805135196894,0.8930701473582788,1.0887943896142758,0.9991990519085063,0.8957622264641742,1.062834071357503,0.8222697381839811,0.9396466494520082,1.0383824739112502,1.1848291575545558,1.4506636151257335,1.1153095356763965,1.0908516032722353,0.8841477090341809,1.073052945852024,0.8463987867763173,0.8204073846779368,0.8435089956005933,0.8760574823660123,0.6910772963254421,0.9007300515859723,0.764141407985247,1.0341856145416222,0.7567843011513831,0.6487809038531578,0.6863272808277514,0.7309493110531758,0.7130584482207087,0.6950759049635936,0.760252903675447,0.9555844187127726,0.8625889480529908,0.7082551451021974,0.7085834738931173,0.8382076037837677,0.9059234820592486,0.6746813035727601,0.6377515151487348,0.6622885859596483,0.614493884201608,0.642625094718477,0.5981629991578148,0.6635577087122091,0.8075709614600662,0.6737172264762464,0.7925168297558165,0.890788274648135,0.7788700022808354,0.6979489193323954,0.5532031077505892,0.5577786950478468,0.5833774257876793,0.5726264174272817,0.63088395866993,0.6465879362107676,0.6600089487617415,0.7350771774839653,0.907824257786816,0.7744364151089353,0.8333311497540754,0.7146031536336813,0.696071861621643,0.6245405862020404,0.6280949874426477,0.6347682206998887,0.7383692011077149,0.6104483882972588,0.6045795303609064,0.7376415886120559,0.9023622419755203,0.9740353985592257,0.9612294100053693,0.8619352280001352,0.8093287235305285,0.6611918314248568,0.7502241816157559,0.5963138326999365,0.5117998561075503,0.5995218096107301,0.7496065830711314,1.002928664208624,0.828330952746198,0.7047325574132817,0.7333033712544071,0.651626073046638,0.6237920051485792,0.6046493377061708,0.5723220077599086,0.6423404778431634,0.6228831761943148,0.6033733389445766,0.7288530453895412,1.2161079770989558,1.0123146390113995,0.5953522383187151,0.5767916218533559,0.6029151513355477,0.5430988221006195,0.5754708178800351,0.5838498276452664,0.5983939256409835,0.6253953939144742,0.6969748439005826,1.0034811918043616,0.9281685269444644,0.8660704656425763,1.0540039787347237,1.055882066149314,0.769071709587046,0.7626898762589245,0.6479499014135239,0.6595856336268928,0.6417772659744317,0.6130777202792587,0.6042138152651422,0.6088729159837882,0.617867884440495,0.6626771759272085,0.6749674976815001,0.9837227680111337,0.6715151371160302,0.8263922790592081,0.944764185779555,0.8892978197044579,0.9366190441263407,0.9635904999643702,1.5277986828855725,1.7256089935808467,1.4179394416127047,1.577457251521439,1.067833800970529,1.2061581242537256,1.2223292912469281,1.3138673078283487,1.6401428542664456,1.2901561505695955,1.2924873619688446,1.1735268105536871,1.118991412963472,1.0492448814257898,0.8259960643651064,0.7469617755916499,0.8062256220301675,0.8139890194726277,0.6780083462013421,0.7287619356770111,0.7840903621241155,0.7582510921351661,0.9125551289137313,1.0126080975067568,1.046925705896133,1.1197900660614577,1.3602288846254018,1.4766323987454442,1.3017759619880176,1.2762785258755671,1.1339825999441837,0.9530519695416375,0.9957353834411051,1.187128415534118,1.4789643350931627,1.3477271188306665,1.293547520347013,1.2833694599776013,1.2983113146534366,1.2600452698494402,1.556581641810987,1.5014401165137876,1.3517601855667363,1.4664803632201096,1.8157975484894393,1.6476610629492365,1.5933043841376424,2.2867166102910828,2.249846021322213,1.7993706188224727,2.195704883121489,1.312106039147397,1.3854427280036754,1.375776879365848,1.1311879997328593,1.1417535475903657,1.0162644352757242,1.1249600572158525,1.0350003978598692,0.9512066670647229,0.838201017880552,0.8309030135144516,0.7262469492861762,0.7194214826374103,0.782111803353151,0.7612295943446938,0.7802506044252772,0.8424618471491561,1.1115731803308895,0.9348080309629246,0.9079822469647394,0.8643878562272225,0.821273976528688,0.8167267178655708,0.968131695928652,0.9241546799802023,0.8331264839713466,1.0062554571850126,1.088063921102091,0.9994329646906255,1.034098093025211,1.3893117991003547,1.4496885683084189,1.1048300461191696,1.3696740362103887,1.597407005528546,1.5431151149620566,1.3097300720686256,1.0400118920592356,1.8089856506365432,1.3656172057916072,1.2503458652426729,1.167396452910166,0.9251954724509139,1.1071458732896784,1.3763411471689315,0.9082580464122246,0.8162748940499412,0.7705479297406032,0.9282033148368839,0.6471107429299113,0.8811543774810637,0.5936191334101036,0.7383992323383858,0.5937534790021236,0.6045420983099704,0.7029480524000878,0.5594766224196144,0.8651981323693609,0.6459762589224955,0.8000530747996972,0.6837894695235477,1.198088042387573,0.9921744424858828,1.541499908687675,1.777694439802877,3.2115370891108275],[0.8255333796195605,0.7053072756299168,1.0558539499741657,0.3919349525486114,0.6542770002023252,0.6488014017380979,0.6375336744271447,0.6045040099464897,0.6661539009659274,0.5990305266701669,0.6051896360245618,0.627976821248826,0.6031787042734365,0.5836025931829923,0.6220073474625155,0.5964864301831423,0.6363730074955832,0.6138057645987588,0.7236707794824142,0.6480320494242978,0.7901899286422032,0.8906746684365316,1.0049870211077947,1.0890760009866922,0.9608686764796311,0.7906410605984219,0.6429530831299539,0.5694306254379768,0.5795000324266384,0.5302922904148972,0.5974498706299569,0.5451783374913733,0.6051342609083916,0.572578819624588,0.5547184874349301,0.5761573469643335,0.5525998909859293,0.5876605240041511,0.5673841802920777,0.6800026321254644,0.782152018732672,0.7025143865188404,0.7859355699586138,0.941263435920716,1.3479812152039854,1.6404653357456294,1.9580850517403088,1.2001535604583027,1.1584999610503868,1.5449873822583056,1.3374104321880909,1.6752338027800135,1.371952786817166,1.1949903935674977,1.5969141752439053,1.0862527882663011,0.9669941205797438,0.9096648334055419,0.8945507601380687,1.364241084051294,0.8957907741407877,0.8490866963129957,0.7499594097646008,0.9305876329288597,0.8414126691490943,0.7601405438629094,0.9206482656529853,0.6846486291947773,0.8237185264786239,0.9496701930606223,1.0942240927948292,1.3357187641239372,1.0206325725743275,0.9753938554453481,0.7692077976540086,0.9478840950036678,0.6968518456523562,0.6779502408205403,0.7080035364236245,0.7457282121258129,0.6073258511661899,0.9050890039498722,0.7135224932986377,1.0011095275181578,0.701117186609891,0.5845083216155188,0.5926611198405423,0.6573966636106016,0.5977482499703215,0.5988842871194969,0.6485746794004871,0.8622561729593973,0.7674628350159329,0.6204703023587356,0.632466823028368,0.7607874858260031,0.8499623708959833,0.6321227576010918,0.6041252889365887,0.6403529982702593,0.5706435327084097,0.6096789552564402,0.5289604439639566,0.6069855002853954,0.7881552285706653,0.6209333353192987,0.7648545178742204,0.8868921383520247,0.7711452132921587,0.6739463151223085,0.5232266044563049,0.5138258635889718,0.5483446709972792,0.5216694377927316,0.5737791403125816,0.5786275982988005,0.5724711481867872,0.6387318029531746,0.790362839305324,0.6630024595619851,0.736826663299359,0.6521460782107723,0.6471778075496445,0.5882529050440749,0.6091005859567793,0.5817286621859721,0.708459359316723,0.5647036905205157,0.573833408277651,0.7142278373237015,0.9122982644365307,0.9631370081456789,0.9609865677172404,0.8461749967717063,0.8009727512110985,0.6353533323650441,0.7366420545871475,0.5728634157363669,0.4554522758549398,0.5121252960103847,0.6510552158049822,0.8954510132015904,0.698132278361051,0.5860990348997456,0.6563145913688357,0.5420336300890192,0.5315694609830447,0.537197463918143,0.5116324352517524,0.6002410040819589,0.5936970427635695,0.5873094675235104,0.7166401905107029,1.2124707741138472,0.9958779148914639,0.5696142552403475,0.5422774843730278,0.5605211680378316,0.49651692341803577,0.5238497330052754,0.5208294609121803,0.5159046472046838,0.5319159645723334,0.5904468211008543,0.8321276591738519,0.8680889723576815,0.8261564396585112,1.0448613475893789,1.0757198444868648,0.7685581394388767,0.7472800446183264,0.5919131312255514,0.6002485240880596,0.5694602963936456,0.5374628991837546,0.5415805305161594,0.5404584459886547,0.5412010087888304,0.5786958313254896,0.5968547156928427,0.8866789568586325,0.6198027936583468,0.7831814273134161,0.9102778470578415,0.8585602283960315,0.867350541499207,0.9001330565673259,1.383932903210786,1.72225893614361,1.3387612945815874,1.5729739028819174,1.0282760915643951,1.195729624405868,1.210738012277246,1.3010537402184115,1.6320951098539525,1.3162913415935376,1.2869133086003084,1.1738079188358947,1.1322073587312105,1.0193362295769577,0.7878478870205844,0.7226268022755964,0.7701289429726542,0.7601718718322702,0.6323337028604795,0.6857572244831486,0.7244926852255837,0.7077114954072024,0.8954288876192397,0.9908011857219179,1.017597132614879,1.112777430046965,1.364714255287936,1.4575395825570878,1.2756307246864096,1.234660150849685,1.0715711542437902,0.881073329147003,0.9188358838260545,1.087209900462052,1.3712110930260275,1.2383100685036743,1.2467961728247197,1.2074466495754081,1.2121935126584356,1.1888178906151887,1.4629435020454478,1.410986799721379,1.2843354798628213,1.4021611338945292,1.7318482329550846,1.5938595191530136,1.5576224224926787,2.218608297639811,2.210032653690982,1.799138157588348,2.270294622730997,1.3105567494217791,1.3620405584833464,1.326946782836647,1.0666016926769748,1.0733802492833058,0.9477704320550381,1.079053286496134,0.9841848252677108,0.8921933727996495,0.7872993380308227,0.7935943398123785,0.6752458505511021,0.6753744681413536,0.7572120341308564,0.7281459837622932,0.7273915304108777,0.8102014889229195,1.0918726565440022,0.8976006536940504,0.8512364044576222,0.8030921343348572,0.7485303813385715,0.7470775254678418,0.8832431830167736,0.8390127390033655,0.7617435639800916,0.939485910145129,1.009302179655685,0.9286308264133842,0.9808524739312524,1.3205394161307178,1.389215193250307,1.0544683266162753,1.3411475229625178,1.5211091039365248,1.4778043081737677,1.264351539208864,0.9945132510248106,1.7822405729443722,1.4036551145068645,1.1917518079713043,1.1448976015631425,0.8870019746464884,1.1110492896415063,1.4025835084842424,0.8761927360093233,0.7688571692561613,0.8033236352079526,0.9308159339145047,0.6256801831465825,0.883105192705844,0.568537943932976,0.7058798101911645,0.5542972146343771,0.56198126014695,0.6903956116597727,0.5418395534578097,0.8532802246521535,0.6403132995887774,0.8011171991817013,0.7020099130926005,1.2011551854490181,0.9761664133027367,1.5368233520363457,1.7351526471756902,3.105067185397581],[0.7810971790981689,0.6381466184753268,1.0254970075428964,0.3964333364363338,0.5831425189166468,0.5523562704948836,0.5269537070606534,0.5164206583067927,0.589018539523946,0.5339240161043567,0.5494187101320769,0.5644898412602385,0.5361525038105016,0.5558045188571276,0.6135964626517677,0.5610389910978439,0.5997167597889523,0.6026677402639063,0.7309985865359846,0.6708371927580115,0.8211763227614353,0.9069225620211836,1.023993079222689,1.1249242117954201,0.9869894395913432,0.8275959058200362,0.6811448978291003,0.5690866054314015,0.5647857058046064,0.515067955303226,0.5961165175710929,0.5232839125155102,0.5844324612559972,0.5612057016239898,0.5415183879855054,0.5702865874322269,0.5381232321039349,0.5728395549501739,0.5744120062654122,0.6930050533360924,0.7790693128461355,0.707503719354888,0.8040396933897126,0.9561758959772738,1.3559353770186384,1.6404731387656963,1.966319540544381,1.2051417949529204,1.1726174103964377,1.5633896423102691,1.3437299444005233,1.6795403039341863,1.3793257459069794,1.2099347253179775,1.6024555014061894,1.077132751121705,0.9664598533747581,0.9188380844507972,0.8963362852972212,1.3418037507017893,0.9043815097781566,0.8509930011675823,0.7585482725006409,0.9684828325408987,0.866541858640297,0.7746622095342668,0.9562267653892023,0.7099263822665245,0.8526166400968082,0.9656795601176924,1.1126688261905344,1.3641993342584706,1.0639247646754642,1.0375972183618956,0.8012632987745073,1.0009724801703033,0.7110200031256406,0.6865013809370692,0.6979780097539309,0.7421376733180375,0.6134118567442794,0.9295096209276166,0.7236022551842025,1.0246214575838177,0.745660136348965,0.6098057545318627,0.5985823027095912,0.645450323602605,0.5954539104501898,0.5927912435823933,0.6527158157417194,0.891037408786653,0.7800136455933735,0.6126308346491225,0.6161803376680628,0.7531602446049134,0.8166341499191686,0.6159266763130836,0.566233258628352,0.6063604616344085,0.5207624628669263,0.5651593629751966,0.49156704518056715,0.5703083027017647,0.8116477495714652,0.6314047299411274,0.831747006432956,0.9686078086722958,0.8727475297033453,0.7132561561465979,0.5664134019312118,0.48709017919668945,0.46585219924414184,0.46793240036017775,0.522546674640399,0.5346862675385896,0.5528665963353891,0.6367151146489928,0.8201737678400659,0.6527033065738157,0.7140499295266548,0.6422973388609774,0.6337747871448663,0.5320496283915441,0.5196321042549172,0.49472131917071543,0.6028557206588426,0.5470269961318849,0.617327102915302,0.7633776295244203,0.9998034270751855,1.049918670944198,1.028935034753345,0.9052925165629607,0.8514104994012861,0.6697513351856654,0.7864893800333919,0.6049454124443785,0.4623267724047942,0.49680039493457867,0.6536408070952616,0.8908100969939856,0.6975649727388457,0.564036862761958,0.670836912264977,0.5116797037683436,0.4908218114726599,0.48841301548032384,0.46395844262261976,0.5248872800337628,0.530508217888744,0.5245637621418558,0.6869743599199322,1.2518713666981727,1.0177924451903462,0.5252665036920614,0.4885537978594641,0.4894737148035064,0.4643168261913541,0.5039889278923789,0.5088664047783968,0.49977185123232104,0.5140978769789242,0.5742875280219604,0.786876866038344,0.8611337731049552,0.841010238219302,1.0541437494180443,1.0991885938469483,0.7988645239825897,0.7775164207621185,0.6021266675238375,0.613507579473765,0.5742860538298297,0.5352386078227412,0.5397254675015156,0.5220563098365083,0.5358388999454137,0.5782753371813096,0.5938027500876628,0.8532319822309972,0.6319107764954897,0.8027947880163266,0.9308694309508567,0.8834142753813675,0.8696449650022293,0.9201242682872413,1.359009770060613,1.7278039718543512,1.332743803298613,1.567918215701332,1.0397667916104512,1.2219299181847099,1.2416105696626527,1.3465312399743177,1.6992409201488003,1.3977365153279364,1.386391091671449,1.3123894251037065,1.2619616218981122,1.1505569004907554,0.9019985942551026,0.847577681974474,0.9127010575910147,0.8886979933374121,0.7059425322380888,0.721224627545351,0.799036925008773,0.7584244791867628,0.8483077051219446,0.9346183853374911,0.9947429961500492,1.0837317500518164,1.2958757065731732,1.4115262318691653,1.2123492196390617,1.2465623184274706,1.076772234908045,0.9473253045915742,0.9916022117670852,1.2324011535977641,1.5201177191343274,1.3871350646941252,1.414855084499294,1.361371596632899,1.3595530629403254,1.3129757819894416,1.5846534057964403,1.570539727937393,1.4243555205516774,1.5313105658588297,1.8770260005349098,1.7616466000433095,1.7094662054424496,2.3018900460961227,2.3584361671566545,1.9874795782473365,2.3835046889109135,1.4872745575512754,1.4630142459769961,1.430537755837642,1.176274582056964,1.1421801856688951,1.0178300104871079,1.1194382548056898,1.048144349172143,0.9645542260724863,0.8529477680789674,0.855993234043096,0.7663772534417979,0.7433009189731937,0.788080616087795,0.7566352724162387,0.7905033237480513,0.8537851212980422,1.1025768890193932,0.9189701617762436,0.9139105126112639,0.8688489605777302,0.8559320137475367,0.857845375204174,1.0177890026093934,0.9736241763536472,0.8760418129044538,1.09050443284532,1.17134112484325,1.0730299512475323,1.1502164021804062,1.5106549232782216,1.5902136539371077,1.2438206310744866,1.5671391961687149,1.7555842812865234,1.6939688956413632,1.4979501555956682,1.1593656157365875,1.8762954434781245,1.3420069490309772,1.1837461534527804,1.0077810181504414,0.831562978023306,0.9609515023857094,1.1279254689205336,0.7597743901345024,0.8629932017723542,1.02879240026676,1.1138110865538198,0.7483177183683817,1.0323375301540316,0.6375301889395331,0.6538629428354801,0.6290625136694281,0.6236012386097095,0.7483940746625886,0.5826668682516734,0.7850161420238454,0.6326102139482378,0.8006652551659668,0.641454676904922,1.1404403526180849,1.1048916963082012,1.5223628936121505,1.8280313610001293,3.301906448355946],[0.9176141198067879,0.7219722154034781,1.051917035115392,0.4300988557501179,0.6547887562984624,0.6347454167494737,0.5930756675055131,0.5703598151972504,0.6159535049116648,0.5482967274787888,0.5510862168720153,0.5847634631462554,0.5639794130644095,0.5438958019304089,0.5843670283175221,0.5674543040648226,0.6148867862283766,0.5985728841312705,0.7290564367087837,0.6510984336052791,0.8019306496013164,0.8987568092088755,1.022716190728637,1.1076762825763082,0.971041200942774,0.8020884578160796,0.6555459186979442,0.5653754089942714,0.5726753800938742,0.5160659952150867,0.5712878152370512,0.5245145736302376,0.5819374337780332,0.5563088750258073,0.5473632098332458,0.5705896518728443,0.5634405372864245,0.5892959376848057,0.5877281536233318,0.7118252928901864,0.7997131006530552,0.7163209189679764,0.803116917961074,0.9582407322739146,1.3716029866127228,1.6556422928667938,1.9684492675540863,1.2298805285927745,1.1853001723438386,1.5166702986050726,1.3542388906186362,1.6972318962549882,1.427089223053029,1.2252479561445329,1.6540538522956467,1.1383571921500961,1.00165240452133,0.9362733231015065,0.9365556131361562,1.3722619297126537,0.9057053058207083,0.8587524462006604,0.7510086436305263,0.9380634834422076,0.8517350829850303,0.7678158915114491,0.9292249521677706,0.6798707741289393,0.8292470854944396,0.9335485994626548,1.0950341176668623,1.3457764303243072,1.0278634822184454,0.9852552467758382,0.7629166333637416,0.9538357797081037,0.7010619289440739,0.6796098189150078,0.7158189284298306,0.7521911420561632,0.63650764611984,0.962332726441485,0.7850755877194963,1.0682701503977567,0.7312988644494387,0.6280998336861222,0.616644129106353,0.6818072232392413,0.5997781601452963,0.6021143571156214,0.6415382501951418,0.8453875380180209,0.7437993323294738,0.5883264056349592,0.5941279788812868,0.7185813375368014,0.7987943562714738,0.5928644492927727,0.5651306403943315,0.6227748263742655,0.5499816230200093,0.6198809241623541,0.5534432171429289,0.6625271385528781,0.8752562116717244,0.7116511160264569,0.8798422802037561,0.9873904909812499,0.8802774730455588,0.7489642459808228,0.6176251482819823,0.5514920219777418,0.5344942763141486,0.5103554489909305,0.5458748114813128,0.5496962983775262,0.5539905616248565,0.6306632148101383,0.7910627171007576,0.6417683800348406,0.7105760805667315,0.6258633394008045,0.6234024581481138,0.54894082915721,0.5603977028079166,0.5449468937908887,0.6946102101954218,0.5947368102805497,0.6485568883228928,0.7924573260537616,0.9932843492111295,1.076818567129778,1.0613645013469222,0.9550774364147301,0.8726481569678849,0.6689338835309065,0.7578232649006231,0.5909484734056486,0.4617525608422276,0.5115255986753335,0.659217773129777,0.9235365069560126,0.7062903031137612,0.5966397232070522,0.687817246051217,0.5419806919226683,0.5268307356422565,0.5260561616011197,0.5157879385449128,0.5741096324928412,0.6002188902524395,0.5656548001562778,0.7194168431097955,1.22087301916639,0.9576759555366045,0.5516696062067277,0.5185455245812424,0.5598102061472925,0.517271643141548,0.5804538313927726,0.5670457312131726,0.5333962753702416,0.552166247164764,0.6137270207685533,0.8478884004712449,0.9039997330663821,0.8539879048116327,1.053437142696873,1.071906821422999,0.7583117970460155,0.7668378405473635,0.6118069652827164,0.6387883404480458,0.6166705899919067,0.5809478821155174,0.5941692254827701,0.5715443189485363,0.591148024963075,0.62901301261821,0.6620259397297886,0.9041715511751354,0.6938957561527438,0.8618332132138207,0.982526186454514,0.9339209476636868,0.9048983309704725,0.9162083496056438,1.4015412747332514,1.6688231736253853,1.32708620914484,1.5435416866100433,1.0597921527737462,1.2339246565382371,1.2641701671796242,1.388521883622213,1.745597516123057,1.3817333885202707,1.388141883895029,1.2928263005782652,1.2188914619511977,1.158596438564874,0.9313237034088117,0.8461371091136282,0.9161521892654955,0.9293491346689697,0.7664517704842976,0.7921997081720824,0.8692335436676044,0.8532218405368812,0.9646424764977696,1.0663640843388806,1.1171637558599716,1.1857677332278433,1.4193851696157473,1.5466116433477648,1.3555986609201252,1.3517590187216812,1.188150693096276,1.0269679443243895,1.083051139176006,1.2873308160243107,1.611594280936018,1.4422767445251359,1.4169397511244337,1.4118216790527691,1.4224580655990244,1.3796427450278355,1.665823945497699,1.6340058793665082,1.4718470366402796,1.5893344053317493,1.948337545617933,1.7876967437169922,1.726642518724852,2.3555583592032923,2.370230098169387,1.956963265121341,2.295914018128074,1.4584404537965285,1.4770969905923328,1.4838720616725185,1.2468931525707045,1.2290496020268442,1.1002556730480564,1.1852188367226564,1.1197057055826534,1.0453876684308436,0.9277471869937147,0.9123752745637654,0.8404115718015348,0.8303437719982258,0.8527554451449137,0.8483224628258706,0.8869410223458398,0.9348388775432499,1.1776070515999442,1.0220351054281125,1.014400350516332,0.9659498267610291,0.9363282801218757,0.9315797656000047,1.0912624692551403,1.046192390293735,0.9433350712896414,1.1287652553671323,1.2078782865874231,1.103095438718176,1.1532528984938544,1.5297530737886547,1.5789491197353698,1.215842550327183,1.5284270946102538,1.7602099978219028,1.677236992199373,1.4418516683435558,1.1174348351222412,1.8457878190332995,1.3188247744010948,1.2897279823859857,1.180898607635342,0.9590418881174703,1.125462802405086,1.3679678884749376,0.9125771166988667,0.8352880929679525,0.8299946615782782,1.0143339050839464,0.7196940749145643,0.9834612851881858,0.6474661992611784,0.7591708703861174,0.6747463427221164,0.6924737300490423,0.7179097923333113,0.6125306385553118,0.8901833890152303,0.720364211477901,0.7970618583451414,0.7166606916716365,1.2439968014166147,1.1400461045989394,1.5811577915063464,1.9897218631731264,3.451486222973576],[0.9996356900804441,0.8161719057576495,1.1205584634338965,0.49026610472803195,0.7345440686915451,0.729200795494663,0.6947720471882443,0.6573028010056373,0.6981539065740389,0.6227675619394558,0.6216352530708199,0.6530981677126311,0.6334072079198922,0.5985527755358179,0.6228926289698831,0.6204803017104098,0.6593707649494618,0.6227829499646803,0.7376281979060537,0.6487442782550109,0.7777172180745935,0.8675393905000224,1.0185935384806022,1.088151033632734,0.9725063377865774,0.783788440508504,0.6593555817449361,0.5825711356949276,0.6072508645389274,0.5599998438899662,0.5986506492616153,0.5684123569080223,0.6222251309139287,0.5917804351125863,0.5827676481608784,0.5957856259612117,0.6031751677309511,0.613321584391405,0.6101142525602957,0.7266329286892019,0.7945766752256566,0.715171880776937,0.793389418235118,0.946355511567218,1.3496120337951396,1.6615008727060048,1.9507964668326605,1.2152862140099214,1.162090979628231,1.5272317620090456,1.3461621288725432,1.693516633875584,1.439626272758912,1.2315959872402304,1.6803283985982667,1.1502473879639379,1.0095886435006511,0.9437199325097639,0.9582875024367381,1.3676805271141939,0.8965118683047095,0.8519860017241839,0.7439769574761061,0.8953766902606514,0.8254399506572287,0.7573876055697918,0.8917392779263277,0.6709067378340948,0.8215330803403329,0.9271312498565549,1.0859033415296562,1.3209274333213066,1.0150426052204664,0.9476570970201685,0.7522439666294992,0.9284135050871463,0.6932502982138018,0.6826081849764289,0.7313558068590136,0.7638429027351764,0.6691497780757071,1.0038866236089337,0.8275373969705525,1.0952069507251352,0.7462774294276757,0.6575866652750695,0.6432379478098079,0.7190546880924683,0.624545008356893,0.6382731694503365,0.6545682604673999,0.8306734567315599,0.7394931305601267,0.6192623965273005,0.6286385977842041,0.7385675068671503,0.8244541490016388,0.6277289198161191,0.6137295330914029,0.6783763328751268,0.610256419365331,0.6750487638268967,0.6022863173392129,0.7103032688327194,0.8983878157557406,0.7328336575659185,0.8808830091002513,0.9768166725519671,0.8582171655130669,0.7598950035155349,0.6417802200508914,0.6008832178514983,0.6143246916126207,0.5760849285359164,0.6071347446151523,0.5975391507909857,0.5822724070456206,0.6381868014188852,0.7732616028353843,0.6536819285420203,0.7280467747789101,0.6494900346381609,0.650887397680561,0.6121750988055498,0.6468751588050345,0.620716639914021,0.7854489848988678,0.641020180020244,0.6629611527918805,0.7967683780484804,0.9796991950665128,1.0669722221613624,1.0622529468075899,0.9613815031425771,0.878278407876317,0.678908001479274,0.7521242421474775,0.6013106608680177,0.48642625544594054,0.5399421421971589,0.6639990068463333,0.9212730888160195,0.7065211870248511,0.619360247577413,0.7046630152142711,0.5729129754431072,0.564644969388041,0.5792557788617912,0.576093451213746,0.6507893274129276,0.6686212896837034,0.6384722830733062,0.771876457969641,1.222884122315432,0.9649630308015078,0.6168860160406991,0.5885136900112052,0.6283829494934087,0.5785191455766227,0.6279761246345653,0.6041660415347931,0.5668861508845482,0.5812031142403354,0.635999634370062,0.8484171816258652,0.9198135566469915,0.8635256536246741,1.0634543560328427,1.076699943728709,0.7574463020973828,0.7726022631505938,0.6288739063688722,0.6596752905502034,0.6429463009232876,0.6120352932444503,0.6264374781611239,0.6106938455683084,0.6281238669393674,0.6611334114898179,0.6890910241384455,0.9200270194054915,0.7159111236839546,0.8798151155021278,0.9982671660631568,0.9537489498893993,0.9153900944250543,0.9218544634319465,1.3697120163437384,1.6434359903435136,1.299096597041303,1.5336155779685965,1.0677435943664142,1.2482584816041882,1.2705133332695366,1.3879023775789492,1.7354382856141606,1.3700703328497679,1.3676117241941719,1.2517929246209247,1.1788616701610806,1.1142255637560752,0.8975813873012558,0.8088847322286195,0.8647904689532256,0.8819671666287673,0.7550548005077277,0.8059359830988325,0.8517887693969024,0.8456685837924385,1.0150516723225704,1.1181154477511561,1.1454478871307994,1.2267313117326104,1.483924517082556,1.5960272644195066,1.4206196757616,1.3648690575664526,1.2028596472482538,1.0074425643367257,1.0512441936548456,1.2045422255534728,1.512837417574631,1.355312136407128,1.3322565720210904,1.3317546786269425,1.3527120271481026,1.326398684760565,1.607700447247197,1.5577985354299264,1.4110234118003737,1.5366908862447974,1.8809737308533152,1.7148229530310874,1.6705903368938464,2.324868094926701,2.3117752992033243,1.885992826633721,2.278433707583807,1.400934509052661,1.4519629123193694,1.4514175073194537,1.2086889049222242,1.2078389038266668,1.0800879643830623,1.1805136303240678,1.1060257556208137,1.0252492894473717,0.9157047541660942,0.9016681741052764,0.8148615049955762,0.8140057122033046,0.8512493565821385,0.8530654384356146,0.8732416135511232,0.9293923628501559,1.190600432812015,1.031368802676543,0.9976042738405291,0.9448349964690812,0.8909747652965473,0.8893323944962315,1.027776366422488,0.9801826908566639,0.8954521533208821,1.0607380067654488,1.1263735293433232,1.0337714659673183,1.0775866069353686,1.437569111764251,1.4790363977276788,1.1298723001927171,1.4302924368791767,1.638012060377345,1.5586967831781653,1.3259387888164813,1.0522127342032574,1.8016356790745218,1.4025498775892467,1.3222386910611772,1.3060779042495891,1.0254404644633415,1.243377930236899,1.5710666192958274,1.0432194284579268,0.8652672266362226,0.7550926957399046,0.937840236616597,0.6983243894215302,0.9374927485108886,0.6560283690877251,0.8066619114460706,0.672785482898464,0.6948818750706162,0.7186796963119957,0.6365576123842468,0.9498333392415017,0.765747362867017,0.8280332440493499,0.7813064946357094,1.3119570762005512,1.1229561073176502,1.5810579883300224,1.9562233887011475,3.3501157670919954],[0.9863296843884856,0.7711097028682431,1.0593343354440914,0.4509623017386242,0.6267811762092222,0.6484101719606487,0.5990680577718261,0.5653709003939543,0.6211441806022879,0.534647084713017,0.53662314005686,0.5819721450359637,0.530778948261688,0.5125840135032966,0.5386575112235262,0.5274517871164186,0.5675811410370499,0.5321765054890649,0.646767081469696,0.5770940880925032,0.7111631209063548,0.8012200357233091,0.9591738034644937,1.0440524927616825,0.9534116110095884,0.7260903440016716,0.5986318325587875,0.4965252938842664,0.5262357389988264,0.48184995817605764,0.5182960462432878,0.49239796018821713,0.5562398675155641,0.5330922318290231,0.5246477397852248,0.5262924629200629,0.5509900287510494,0.550383501874319,0.5513652041400972,0.6781529771419178,0.7310234791222237,0.6433481271076618,0.7252939263121836,0.8853528216945955,1.2780906061217294,1.6345514037198638,1.9102117454670857,1.1450295539521993,1.1115163358827516,1.5665882998374574,1.304604079649455,1.6684387961074456,1.392048866119323,1.1905786553090614,1.639194270883635,1.090345017048013,0.9557902436014106,0.9026942831184511,0.923325300892368,1.3067336081159264,0.8350368372098533,0.7842025501585362,0.6720065918688377,0.8271073199991187,0.7411074196451762,0.6846926881025741,0.8318635957962136,0.5926559942708391,0.7331132629613917,0.8661175144446561,1.0074535291721087,1.2412380316870903,0.9578567897851298,0.8912956260978554,0.6923599309193635,0.8524048955765399,0.599126772643698,0.5909400020203427,0.6417730218177649,0.6766888097307341,0.6368785393005297,1.0054354329572015,0.8060373743727852,1.0773079593595931,0.7493256103332381,0.6374315009936927,0.5943576430633375,0.6672057672790631,0.5496728301031296,0.5818091388240129,0.5711113167510934,0.7692852832058095,0.6746070576420892,0.5378371483164641,0.5490938145525562,0.6732523904044184,0.7548952563294438,0.5690377901645647,0.5383523056019497,0.615425451444523,0.5368135060993546,0.6240377673710409,0.5392449512400914,0.6601697972439134,0.896934560027964,0.7326305429408791,0.9294226136570825,1.0551475205915541,0.9414647018765423,0.7767990404009589,0.6477732352864742,0.5545742591312313,0.5081881372683039,0.4969454490858402,0.5120649758822509,0.49395404589579434,0.4864687640657255,0.55794548592659,0.7168093934428582,0.5629613101469777,0.6354354918835152,0.5622715891173772,0.5671249803365165,0.5199735371521067,0.5486601479442349,0.5070252475962495,0.6555163155091343,0.5917939858178418,0.6680550798812718,0.8366225490134617,1.0740813922822072,1.1572708384777861,1.147765478743175,1.020117458059225,0.9383440658243597,0.706556369013898,0.8099714193661102,0.6100879004597254,0.4453902096314326,0.48054488584818006,0.6042862697120395,0.8416584775203431,0.6168054678562893,0.5291051984521461,0.6629925627095516,0.4933912118570461,0.48475118910654647,0.504395054550668,0.4976005257009754,0.5423237753564056,0.5938792803663168,0.5627540964301692,0.7303829873942684,1.2449664371159435,0.9597935036932945,0.5477095737080395,0.5133549011220535,0.5493350693685481,0.509140144390127,0.5896665682811983,0.5795591044623117,0.5264759063859232,0.5351514151042849,0.5955074565378972,0.7431539046549309,0.8950112083288272,0.8872471483940624,1.0979048784515402,1.1470272130999741,0.8283492818879249,0.813838817659684,0.6222870854596537,0.6718728544296728,0.6370245074440072,0.5999653445436113,0.6155380410378918,0.5710355196118225,0.6014434900857457,0.6378175170574534,0.6758024738081623,0.8666681194282576,0.7240107975292404,0.9106416626748485,1.0433170955406237,0.9844642567407791,0.90833955663843,0.9095484747679199,1.2750706940740206,1.6761063876997977,1.2712085489193568,1.542845088197808,1.0787945787561932,1.2876403899441964,1.319122184411801,1.4420086405808021,1.8062251598507535,1.4760285160153275,1.451192634927491,1.3753251016693904,1.304393502367851,1.198423170875421,0.9518030354203241,0.8859586269269968,0.944654939691509,0.9233424727921767,0.7477685599411275,0.7532645713364078,0.8255757343379043,0.8097285837094105,0.9258798146657276,1.0134963204723104,1.0666963135973375,1.1687546953451013,1.4088447783379177,1.512099037734946,1.3029244114903737,1.294939260130648,1.087596925005539,0.9484874143232749,0.9972240139163541,1.2183725292332466,1.4995191579370553,1.3740644623184672,1.403602266743647,1.3806644812280406,1.3914075516124533,1.3596040095025357,1.6262830315019356,1.6073808037221784,1.4686704133769413,1.585207502244501,1.9261065221675033,1.8109648955310398,1.777938150919593,2.3432326167558006,2.413838752806915,2.066868401282509,2.466983552148971,1.5630625611217528,1.5240799291226792,1.4894880504973997,1.2281308739687309,1.1905972119754142,1.070487784568166,1.155888010325315,1.0961126045771465,1.0067394856036194,0.8973088626294271,0.8935827561539912,0.8179326674987507,0.797075885885517,0.8294915054161508,0.8178208478300166,0.8491031920670664,0.9082172229404536,1.1648797442540386,0.9840957587360835,0.9656852386859024,0.9051709300855965,0.8808301099775946,0.8963850428388079,1.0521683046815433,0.9855432182703232,0.8969447758966304,1.116775236942697,1.1795258383221092,1.069501393342419,1.1711194352049772,1.5363851192852624,1.5838141113670179,1.2423534472579536,1.6187444551458745,1.7851143942152847,1.6942189930724703,1.5060988348994977,1.1355859177759318,1.854344006180198,1.3132980703392867,1.1789588151516772,1.085715642848348,0.8732783221958327,1.078109593130895,1.3136833137739274,0.8181809169363724,0.8099889918771468,0.9830334881890989,1.1149720004255332,0.7631047058344514,1.070451858479065,0.6710477099574761,0.7182542368832734,0.6848644551286139,0.6838840554808372,0.7371745164216897,0.6198926299972476,0.8609285473125095,0.7192847608707683,0.8126723434068723,0.7271178159126764,1.2505185677046478,1.1846238255628128,1.6012345085961444,2.027732837693583,3.464875717418876],[1.0732483369280876,0.8281245800971428,1.07505626665259,0.5222993895350074,0.6554616798409222,0.65628129409672,0.5942797923874176,0.5733494187181439,0.6068320515222599,0.5216304105021787,0.5204544603612066,0.5738232689236794,0.5309064874924033,0.5131133477074196,0.5476846595497266,0.5359277955915576,0.5878170639789727,0.5593755074456521,0.6959040800648382,0.6133094611215614,0.7614089861410922,0.8479542918554391,1.001831180374719,1.0847270605726391,0.9677417882833207,0.7789607881233253,0.6265541558974334,0.5281255546923156,0.5487706127976396,0.5016603056370812,0.5391494924230708,0.5121024056086435,0.5697162924247553,0.5472337940035231,0.5397947006070415,0.5465969686568746,0.5778542765336666,0.5752851686012533,0.5737942147327618,0.7047716665220852,0.7615983347907849,0.6731827169552865,0.7563945752781672,0.9198762386711006,1.333034702048007,1.6586700181183969,1.9548091568085204,1.1886973609289573,1.144301006724875,1.525446128877201,1.317515952630785,1.666802348485677,1.4090802734707777,1.1997439207369671,1.6541467490758464,1.1161629631649377,0.9804200115320284,0.9088677873887507,0.9278703274535033,1.325193397984603,0.8598883315759644,0.8165991671828863,0.7077144484759338,0.8743349800537675,0.7951880094017565,0.7283274269774473,0.882320662398951,0.6390815633163294,0.7914455459201933,0.9072932519102485,1.0549181359480018,1.3067127051981002,1.0038883887191374,0.9575257739488482,0.7310330480643258,0.9072917735043149,0.6465040107383228,0.6329752641946784,0.6737404789558183,0.7042352712358557,0.6509901080714064,1.0122986090497577,0.8486554448396093,1.1098653605761997,0.7523753644677208,0.6567991325670102,0.6143984900339994,0.6894190599767266,0.5719340588216746,0.5960825754113976,0.5927989937580153,0.8069086122538277,0.7014152020438741,0.5541424148178219,0.5585952891480337,0.6833438761074657,0.7537029720886244,0.5700603263342047,0.5482378901941554,0.6289387816240847,0.5488082269484464,0.6710679871355324,0.5852761978380071,0.7367916800076065,0.9698329673291335,0.8155676350757252,1.0234357209903844,1.1295188291457474,1.0292140014187052,0.8643863523516788,0.738755320351586,0.6122110093391385,0.5348227382219267,0.5157652329200226,0.5185827816966515,0.5093585329243736,0.5109731930215247,0.6064297345583302,0.7861825298618651,0.6015366176466528,0.6730548276736937,0.5752544765238953,0.5816916387556521,0.5251987800192183,0.5346330908247771,0.5238596708684805,0.6838661320232269,0.6440918238163313,0.73742496763292,0.8989459708321282,1.1218312022770596,1.2277712112150847,1.1935630358339213,1.0793168231364754,0.9668743851370564,0.728420975767233,0.8221363548590186,0.6212640442008845,0.4667355153629623,0.5158929504052966,0.6557770953938229,0.915198899465403,0.6771424997925249,0.567809917509973,0.6706100928660516,0.52064297232027,0.5103536608728516,0.5205515435252123,0.5287461928510281,0.5577935834990346,0.6342324071763353,0.5831398331996988,0.766657152023595,1.2727548346970798,0.9748278706462818,0.5766511407001436,0.5370019464825128,0.5934858000919646,0.5491051676296538,0.6522761532735821,0.6192805240150894,0.5558914331440595,0.5620689234973332,0.6287720465996666,0.8046177917467637,0.9351332096357641,0.8888477525276618,1.0853394148629385,1.113239362985582,0.7971098852413143,0.8144615050667661,0.6382365287989259,0.6927885982360168,0.6736575506168123,0.635776533147698,0.6621674932586659,0.6102778766741638,0.6422053762356699,0.672583808628448,0.7233206892471272,0.9197722992278069,0.7811555636576581,0.9658107435427965,1.0772959302750353,1.0131195843330782,0.9333050616615548,0.9238295100420284,1.3486013604420375,1.652375512609072,1.2802501800855097,1.5171178917551162,1.0860798294718719,1.2923673250206547,1.3399645927920125,1.4913761701632273,1.8746755706955167,1.5119368928450563,1.5255190222662571,1.457130547394003,1.3741366009347744,1.3317409324132843,1.0982942734439272,1.0126282317452246,1.1003545085392439,1.11703742218906,0.9085821269166708,0.899634904535696,1.0151228362490101,0.9929792713004199,1.01541548166638,1.1115289912768593,1.1837147828122432,1.2345046714358863,1.4423165802881985,1.5747272366836493,1.3817423507117705,1.4244165478434188,1.2699488066708933,1.1603462560121116,1.227393882163264,1.4676464942647718,1.8393899167441752,1.631687209278306,1.6284704286516634,1.63105920747523,1.6381399659263,1.5788345862840747,1.8602081591930852,1.8560832409165886,1.6769724230126113,1.7809141314116432,2.153989666430326,2.0096634638386224,1.9295911500989296,2.4829325240751414,2.5695858715788034,2.1988671618325113,2.4555906992222973,1.6665693274574447,1.6293153152283166,1.6423087616784007,1.4140017383286387,1.3555973005276531,1.249160291168812,1.2967765099492128,1.252596265774964,1.1954017751367274,1.0746945987871883,1.0431887348727578,1.0075081904368592,0.9855804638811269,0.9708146048530861,0.9697259587840745,1.0433113125885884,1.062592944137957,1.2688194533998058,1.1283350308653255,1.1535252271904384,1.1121340538296438,1.1171863588054054,1.1256570691143817,1.300867735664079,1.241992511337872,1.1257574601794782,1.3441043806430115,1.4278620726285005,1.3009832075091152,1.3728520226722998,1.7713276426996236,1.801714053765976,1.4453795359134514,1.7940888003266462,2.0441651501215765,1.9242533889401627,1.7041709229125566,1.3078198747073788,1.9797679195346647,1.3423470932418293,1.3411262675017792,1.1554447160292738,1.0056964824124637,1.1025445069221085,1.2634290548167013,0.9155230734518145,0.953107491934617,1.0336908241394223,1.2073179331351074,0.8730324692899042,1.1550229065151365,0.7495056513933025,0.8031525050064809,0.8181654677221334,0.8322408618491886,0.8120147006070518,0.7186123303367593,0.9187970085571544,0.8043503181901257,0.8492716426814444,0.7736082732901259,1.266598935125739,1.3188906220493406,1.7144714693270209,2.3045408035073307,3.8220753485990007],[1.286636484797966,1.0275984226274721,1.2236740088834872,0.687678780276585,0.9126368892101788,0.8982188099993703,0.8578892771011452,0.8282971015067602,0.8255259298333585,0.7163462858522963,0.7013405106476385,0.7685859899531288,0.7309179013751748,0.6522722179697306,0.6703128530645444,0.698331886423574,0.7131827611381162,0.6700867958009676,0.7793975305030355,0.688639720207463,0.8109201913525628,0.8907332400459701,1.0647030563640452,1.1359117445231446,1.0271327137004693,0.8156046336171565,0.7085556352832867,0.6519206152566329,0.6887314995497595,0.6551674251089892,0.6538019662062644,0.6724503367083244,0.7227102379915028,0.6923439646785674,0.6885374531231175,0.6704036222999208,0.7227177442639555,0.6939537163086521,0.706763266264969,0.8055204502245902,0.8411208188607602,0.7697411731957917,0.8328864525268039,0.9737529438393148,1.359746192338568,1.6924399666552294,1.956414262966046,1.2241533314185706,1.173828717509275,1.5141892742152188,1.3302598010477797,1.6976282216658116,1.4781919440202178,1.2626374133540492,1.7268527532591729,1.2473211773244968,1.0747709977142876,1.001229903085767,1.0352808861439944,1.4078846040839528,0.9377923664115136,0.8971002568953086,0.7969890268599141,0.9018607551899667,0.838618675551007,0.8039842578150102,0.9123034865394798,0.6947541786392093,0.8126556677173614,0.913954710423946,1.0656137691535241,1.2952026913616315,1.002256234514233,0.9291992925117294,0.7765253326377587,0.9315250493170635,0.7266193994529175,0.7289306813101637,0.7863230943578843,0.8175315410000515,0.7786418004318227,1.1217992618420431,0.9855829417593039,1.1860159870340534,0.8276893594984716,0.7782282042410082,0.742738264694196,0.8360934659689956,0.6932475672427889,0.7464655361269777,0.7027176641370672,0.8249987484234376,0.7679709708642777,0.682172698628165,0.6858925856697027,0.7790243650251225,0.8576175752575325,0.7049994069143871,0.7064726282610249,0.8068734943286497,0.7459710946168528,0.8484628461949293,0.766023879452056,0.9236083824032885,1.0876832589850411,0.9424729785920176,1.069430265271201,1.1486117757863883,1.0349477855706728,0.9574809740411097,0.8491629150816875,0.7776872995764138,0.7779254439155382,0.7196674257764039,0.6946007185875792,0.6711959258637289,0.6460497020618675,0.6850758164946403,0.7923846480656429,0.687204672976424,0.7360332565079021,0.6582688402824035,0.6566255726853762,0.673860788222948,0.7467627708446926,0.7398701788806017,0.9395934458281726,0.8097050372261828,0.8454244041736224,0.9549130896074806,1.1005124300274,1.2328329709881165,1.2134357616809612,1.1318395769641574,1.0056591020407746,0.8174104372834379,0.8625729168670264,0.7004403697930368,0.5831569363009178,0.6511581811519512,0.7466834431116957,1.0266133179788235,0.7785707195991622,0.7101592270811865,0.770935820286378,0.6762590027377341,0.6731631758004735,0.693768048637801,0.730784809769543,0.787162294924571,0.8336841530296816,0.8096573238111755,0.9657304666623003,1.3213274178203118,1.0458925338923313,0.7731104032373891,0.736127339071843,0.8008153549880628,0.7185575926398412,0.8103206609467093,0.7694834316151881,0.6970172763046619,0.6994057994113827,0.7492627292367746,0.9167046499424264,1.0285652110480787,0.9367821853695765,1.0977347503365167,1.0882762500997845,0.8202541865772272,0.8572099175104,0.7406175325735914,0.793691384190353,0.7949026329789473,0.765660965207537,0.8008535036790927,0.7497854360603028,0.8025828417553403,0.8205828497715895,0.8652812639524516,1.0317955541190036,0.8805518108673407,1.0448527830737557,1.1466484287005285,1.0846782626924025,1.0088106554897553,0.9716649238002827,1.3633458094356912,1.5878396536811374,1.2818403611538902,1.4889568117131051,1.1218130490509521,1.2951535504132632,1.3534662443596726,1.5037232337696484,1.8478605786985247,1.4594775838306842,1.498289499885326,1.3935199402372402,1.283451930654613,1.2937196365748476,1.1130925267880452,1.0052229157565893,1.0849205702615305,1.1343768861379306,1.0186312438236558,1.0649696206144132,1.1285635636802085,1.142038388971673,1.265540418372844,1.3745783078204783,1.4148043470607954,1.4683956763860044,1.6936248996084282,1.8399413250032253,1.6681114948009352,1.6410183339125484,1.477283887209805,1.291529625223496,1.3533635925377914,1.4479482340151597,1.8457522564864497,1.5812535523102202,1.5759584488848069,1.5859607798081776,1.6034428993294594,1.5625331269097442,1.835973091096258,1.7820603935962385,1.6075980188886496,1.7487975043003436,2.1162408092344225,1.9162841597240619,1.8442956765303309,2.4045147656601773,2.4401449698184146,2.040060854850815,2.2727972190394983,1.5712756856288483,1.5914234471213797,1.6365451168719356,1.4340353439172402,1.4334163140276068,1.323628619346659,1.347088552851194,1.3171393739947153,1.2891246175441504,1.15943314441912,1.0901255484610506,1.085541713340348,1.1068957919206786,1.1083720291376487,1.1379196380242749,1.1817297802856919,1.2286380700674773,1.4485079553763047,1.3258198271813544,1.3062501773800115,1.2583342632734347,1.2007906286903578,1.1804219480949627,1.3109641522113589,1.2811650385943345,1.1916330934769346,1.3093747557633377,1.3870914482801657,1.2910912763932658,1.302054075260859,1.6647346018785696,1.6727829942300967,1.3415539748479208,1.624660949989863,1.8796780293442779,1.774681991133492,1.5208606824222035,1.2639341470683763,1.90861761865148,1.495909783778934,1.5753958473961784,1.558331678737705,1.2855157045606214,1.4623092460123495,1.764804792955423,1.2927356112105677,1.125637387610435,0.9571839108150622,1.0830229547483312,0.9265318923693843,1.0768051790100444,0.8477600921271892,1.0173764205748044,0.9028071837606709,0.9567102249699472,0.9308113862685754,0.8566091043273443,1.1811968483103317,1.048458015932931,0.9733339189575341,0.9885061200603614,1.5179924724623859,1.4250273098453448,1.8039067690887611,2.3815652672432384,3.757555707884837],[1.2539398811676712,0.9856619750051382,1.1733521795918416,0.6183250886310833,0.7957595272840695,0.8223671789244227,0.7683797702540467,0.731823740515776,0.7654872599983045,0.656278370164123,0.6536721063374845,0.7070071994333642,0.656022557115659,0.6027247173180408,0.6164631863411291,0.6358410756258912,0.6500509614380455,0.6121731102128664,0.7146281048792191,0.6442302481185079,0.7462461530850392,0.8219927863963382,1.027741702827052,1.0781412386926923,1.0178561382361002,0.7575372737499093,0.663360007449827,0.5830523087678234,0.6300288300912759,0.592475500459311,0.6057041289974645,0.6014629699593678,0.6483917217198023,0.6400239399748133,0.6406259437668674,0.6289081005972877,0.6963801647869658,0.6550327145566036,0.6762696388471803,0.7960615075666618,0.8068192470185959,0.7246094490774531,0.7982577422272895,0.9328695332499443,1.3042070662999978,1.6832904757951865,1.9308086329109606,1.191666201602112,1.146593431442471,1.5970049089918639,1.355102173348279,1.7262099272174767,1.5012026618187417,1.271943290016625,1.7660181569556066,1.231243220067007,1.0729952784397456,1.009016547374688,1.0572555878170544,1.391518340929768,0.9249686267763786,0.8684094852567417,0.7649207988585333,0.8351253683386998,0.7785939705850534,0.7503741703323392,0.8323122409660949,0.6203898443810227,0.7337675909497057,0.8475175366236549,0.9859994259794327,1.1966812871865855,0.9293073856989374,0.851363852077727,0.6944274504233322,0.8514623783854839,0.6680695920590907,0.6784289863390176,0.7520223703359843,0.7970405160897258,0.7975020302390489,1.176778364263883,1.0049914930881712,1.2255564735802742,0.8472072365813309,0.781216172673732,0.7313576686709647,0.8342779395246644,0.670222408270222,0.7033870435871035,0.6394433121007973,0.7752715765508637,0.6914573041798677,0.6177224203646807,0.6206268213959727,0.7136402784217412,0.795240068669157,0.6390110617367202,0.6288995929719151,0.7277932170808655,0.6575348735850473,0.7539727528313813,0.685717519499505,0.824385768462192,1.0472652525691475,0.8580564776354161,1.0532514596649658,1.1372390972683948,0.9972627089887938,0.8743822437802857,0.754439089975824,0.6773933497574793,0.6606894831013882,0.6327271100726205,0.6261472654674038,0.6008144329258535,0.592455283750445,0.6187063741820333,0.720561110289419,0.6299267635762338,0.6796129338975674,0.6162154568771445,0.6130226901719598,0.6166788150561583,0.6718963586367807,0.6347265269212937,0.8068967677510581,0.7067647585813416,0.7583251409429075,0.9314801348840636,1.1341463478937748,1.2592717806836937,1.2659959933343654,1.1582235593317585,1.037136622883735,0.7904861387476657,0.8356223601089205,0.6750927799023749,0.5421990530363037,0.5829867448808947,0.6720449331163404,0.9182070352784382,0.6841922747284891,0.6246296680876313,0.7334039703437618,0.6084352022383013,0.6082584573806952,0.6211420624894731,0.6362913261030398,0.6686514700314836,0.7189850223183765,0.7078296516750606,0.8563805417510111,1.2769985712089795,0.9963032940503023,0.6765162672962058,0.6399155097942898,0.6896666553009139,0.6507953054981563,0.7300910971609509,0.7140378082987568,0.6490144680268569,0.6539063235197397,0.7277895153399102,0.8419063176573574,0.9962475172519125,0.9786249545253937,1.1712309969354033,1.1861651180601043,0.8690113674923455,0.879541814181987,0.7187425882066611,0.7958753861828521,0.7815547266078228,0.7457892615889409,0.7733059681233084,0.7211889050479702,0.7578727967564739,0.7918505188674695,0.8438526233984733,0.9743776686685066,0.8653409229017645,1.0740430409349988,1.199376405509421,1.1346309348700814,1.0469990121263522,0.9982078491572473,1.319397745890054,1.6460775366926768,1.3023294520011244,1.5725425064737326,1.1995166175809373,1.3849712874523326,1.407824007179391,1.5475870383301809,1.9114485660356777,1.5317790317025877,1.5257030857238467,1.4072968384739948,1.307040663863667,1.2399129021940953,1.0143399820984773,0.9219273609884872,0.9642533818328028,0.9835910144135895,0.8350260252913516,0.8632467530221687,0.9118368186427935,0.9174098783338887,1.0802155465341665,1.1851099985317706,1.2102372011338587,1.3012599392091027,1.572999233240836,1.682628151181309,1.5109123274414697,1.435027914672464,1.23831423869787,1.0364939584722033,1.0863735193519104,1.2507613497886239,1.5556357416322542,1.41386406383823,1.4165382848106116,1.4395812575803497,1.4747090858523622,1.4542202047313246,1.7372034951843927,1.6939330728639097,1.5455300182783818,1.688100274178929,2.035638339887599,1.882141546534076,1.8483808179531824,2.4411978301688046,2.493115506142781,2.108351906837685,2.462077461190922,1.585973996053557,1.5960409877167623,1.5947073392161664,1.3351037833660964,1.3116520721260458,1.1776668011293867,1.2728881134994636,1.2190802636889093,1.1272295973580275,1.0171802047270857,0.9949975175832252,0.9160701890819055,0.903522901602713,0.9114088634050438,0.9273996727203683,0.9542941325825969,1.000235463826446,1.2669875764713106,1.1004207011461709,1.0648588432065702,1.011613483181683,0.9723581346368781,0.991557571904867,1.1344090385720784,1.0553357595876605,0.9691060268605086,1.1740145344461133,1.216363983890762,1.0965428362494642,1.18712357053125,1.5690339566103908,1.5642384424723386,1.2049093270572482,1.6141636965038084,1.7859578951988528,1.6409033939609512,1.4119316842826652,1.0637186383391204,1.7974949407756469,1.391871741940551,1.3542526926808875,1.4142308008753917,1.0766755903766436,1.3353250432716754,1.7234131839961775,1.1336422509488038,0.8845172773025453,0.7656485080075366,0.9957692047719048,0.7765563130582386,1.0660575894023787,0.7372146431768016,0.8422827045582901,0.7818488525008599,0.7908760986351376,0.7811049884171767,0.7267837968999827,1.0142610840265398,0.8890632636323557,0.8917401544490152,0.8843347473242101,1.4345234793443458,1.326840847223034,1.7405795974798608,2.2817718202871986,3.6363524037104575],[1.1643742253510165,0.8515350837513685,1.0483549288424043,0.5636076747189349,0.7264193629411823,0.6956488887390476,0.6343495219309875,0.6379884193260255,0.6141493361657935,0.5277760467825824,0.5280826793469611,0.579707904048256,0.54694058653177,0.4979432967727908,0.5201076447976611,0.5491233792579876,0.5652663976099239,0.5332759153052393,0.6297292964728458,0.6101597838741167,0.7060636271171921,0.8023978808297386,0.989079757116997,1.045192494340126,1.002815531485806,0.7291341602360512,0.6461492700480751,0.5272156285773651,0.5790238906805975,0.5599883620807311,0.5509754550594412,0.5657832058837485,0.6037506733270489,0.6026124947524251,0.6291589997891572,0.6180973508277127,0.7065601459392642,0.6556531748107489,0.6932256157715904,0.8466746430573789,0.8302280323226502,0.7089657530307947,0.8197470590250796,0.9546874911846301,1.314229296198339,1.6913774136102893,1.960031973733359,1.2290254920593755,1.1977022503358385,1.6768194087577735,1.4159273301372133,1.7935634358008772,1.5514945236046918,1.329251927084302,1.8103944218543688,1.2585873219875126,1.0886546198532765,1.0495216552519568,1.0973321408552572,1.3955001344312643,0.9412531204428165,0.8627926156041344,0.7373466233278452,0.8156030042206885,0.7592916807569735,0.7193188689675771,0.7796854260038011,0.5696127755557193,0.6660629813908849,0.7857283558613455,0.9291007628475674,1.1715377970875223,0.8970434822986667,0.8235049926320118,0.6460317874053618,0.8291015424540118,0.6197412153523089,0.6320821722075984,0.7238498335918414,0.7980864208276911,0.8416145825410863,1.2308804767647443,1.046088784002283,1.3003155125886037,0.9393865923345481,0.8385055822579636,0.7603426917570432,0.8490404934404302,0.6543239764450856,0.6818700323817106,0.6040000177163185,0.7574023913057507,0.6423774632926745,0.5521073077483031,0.5454941735326724,0.627803804981356,0.6898753869353554,0.5610894811391093,0.5549966969551777,0.6764844279960722,0.6324515743815995,0.7857365800974748,0.7504906388742163,0.9003586548310052,1.1503725945633667,1.0040244875141995,1.2629607908422502,1.3670980926614456,1.230804382493498,1.0334171096102687,0.894425196160655,0.7631251287244075,0.6004546115093481,0.6043125126832395,0.5590016605230824,0.5297843957851265,0.5180743709907181,0.5199607406788486,0.6592010922897408,0.5390652780341909,0.5927211756259806,0.5360352250026891,0.5420851718802022,0.516945814201541,0.552033458081604,0.5631898445065427,0.7191369510094975,0.7654453762154175,0.8974016933612433,1.1043166868859022,1.3666996622368817,1.5025352879061216,1.4743727703066527,1.3486234531747932,1.2201727990459157,0.9183144145654863,1.0129520531313305,0.7749078814072514,0.5510714413741407,0.5658969406890346,0.5969565029529108,0.8205146970150835,0.5988983414259309,0.5639803760607803,0.7601365920996738,0.5792294851458145,0.5756722838517624,0.6134615408933768,0.6436952257400588,0.6109277844285246,0.7063104397480158,0.6691936732301763,0.8493429783307104,1.312956388318347,0.9950445191911684,0.6552915572467302,0.600965176384949,0.690830276272063,0.6711535004314692,0.8133498123546297,0.801278082259768,0.6963652723862958,0.6754508421267411,0.7646944368838997,0.8544515754751979,0.9881013341315678,1.0959953485956542,1.2660078320641492,1.3311300041305922,1.0072584942954341,1.0241998253939244,0.8070055771947763,0.9072167107116766,0.8769367588239249,0.8411589957719594,0.871089774920308,0.7886685923940076,0.8412484592827002,0.868664043539799,0.9500445733973721,0.9909466306005831,1.0072211607209203,1.2385602726483849,1.3737785530568116,1.2852345236213378,1.1478016729174936,1.0790084216363804,1.3439419843957978,1.7222701890728591,1.3806746447991012,1.6853642087636702,1.3232928049680361,1.5205056725236281,1.549276876855354,1.708011020846324,2.098445410446794,1.7582873473096063,1.770622366882669,1.7006569550223882,1.6015479217450843,1.5286103168554699,1.2668894414775675,1.1835764319561528,1.257032441496511,1.2315388927023476,0.9867546431667681,0.9579537803185096,1.0621676487710512,1.020450550102971,1.0108461016740609,1.0881409606239532,1.1544269472680937,1.2238121204440766,1.441714072344357,1.5603903870846296,1.3564449957711335,1.393697865818234,1.2178018352635398,1.147594808559516,1.1954237819183176,1.4874021706915432,1.777605696954303,1.654253584166668,1.697040425573258,1.7249369935843402,1.7496827059306757,1.7217876087320836,1.9802684217833526,1.981441167386153,1.8314635333773353,1.946175849889432,2.3001300713827515,2.182093440675873,2.135245276802471,2.634326975213781,2.757748048674535,2.4461686399387976,2.7142079926043907,1.92430659247761,1.849584189444504,1.829623729989984,1.573709199837382,1.5112925463246156,1.3789863830430218,1.4364799310236829,1.403224887504498,1.2971075036203912,1.181437020543458,1.1671765640002232,1.0993317845233406,1.0425070227413262,0.9965223932582222,0.9902708322320664,1.0627950658509522,1.062441161025836,1.2577062724886254,1.1205091105369163,1.142803499895719,1.1092044773310856,1.156700613384021,1.2097597678073508,1.3890659572582476,1.283642345793778,1.1845208271461796,1.4637925518249169,1.513391286854282,1.369449268636675,1.5206530866965222,1.9123948771015067,1.9094064396809027,1.5874686308512727,2.017914571583229,2.219671699649261,2.0673511177680455,1.9030552733366874,1.448895232191738,2.0812926347250684,1.3864315895604957,1.2846219823848732,1.120662982358376,0.9898037257579009,1.0892743089048005,1.2688325154520665,0.917663780364134,1.04175870826104,1.2703579118829944,1.4078091293660244,1.0317743730375326,1.3701935711531836,0.8839228745591339,0.8639757458032012,0.9584213797872463,0.91979271053664,0.8698709139645017,0.7948556692323454,0.9248716014301411,0.8505699308904622,0.8618489666498714,0.825368703292499,1.318523328392953,1.4137858462755444,1.8249379717587573,2.518097680864538,4.003848037647746],[1.395974629505012,1.0795759567043062,1.1978462881685337,0.7533869212024313,0.8402702829854438,0.86935223880645,0.7836221717240679,0.7724644959599813,0.7690796991173849,0.6595806387623191,0.6649543384745078,0.691914905687885,0.6568055919588899,0.6177581321111589,0.6316474085081757,0.6500357063850823,0.6670172209129143,0.6353668873051916,0.7275046440295425,0.6963341886649177,0.8151334079452888,0.9028536799762211,1.0849281272431384,1.171117643834689,1.0810111513843352,0.8402092966341568,0.7238807016827769,0.6270877631766383,0.6536842609377753,0.6229838920888693,0.6244514121033085,0.6391219977217841,0.6858184346095492,0.6548195281981525,0.6736228412346827,0.6595243683197881,0.7399120489007776,0.7078788098014092,0.7275403083651256,0.8668469727802667,0.8565026102298767,0.7813737572543935,0.8704081756809597,1.0027772796976622,1.3459493083028873,1.6782592206876636,1.928383369399154,1.2446325931038056,1.2032008190096715,1.5982441914264227,1.4239897328673246,1.7865914097730975,1.5671026907171792,1.3159401508357833,1.7946937907303648,1.3012292683833453,1.1321434509766606,1.049447106160189,1.0932147728448032,1.4675298132504746,1.0063271409719252,0.9477575245254372,0.8143965966610862,0.9154844147025545,0.8695463897954987,0.8244162260543941,0.8890805479366476,0.6730497623314774,0.7767516230091721,0.8708779858270949,1.0124459466967068,1.251129737370574,0.9694848378221834,0.9166539099658082,0.7411540603162928,0.8995225643226255,0.7241312469773399,0.7169691036102597,0.8007157567825639,0.8527160807756895,0.8509281702402846,1.2438715510366716,1.0865019631223847,1.3092694135780751,0.9271700269306996,0.8518494137598144,0.7936680446201863,0.8696134484102046,0.7090174241920547,0.7351447995513877,0.6827625338084753,0.8298654798823344,0.7387582169066571,0.6460417196388868,0.643595501756794,0.7334367139944459,0.8055764668122721,0.6792379161143357,0.6686320017668828,0.7809754962469396,0.7290782700032505,0.8709410815944647,0.784612628104131,0.9686225838476701,1.2047063717483684,1.027588565179333,1.2716186074511948,1.3287385635315425,1.2206819796778032,1.0587771433251898,0.9356777064019993,0.8002592617095146,0.7128291858096445,0.677674443463679,0.6499299255000681,0.6144227656413789,0.615852063424147,0.6677998424649432,0.782853293154126,0.6675937860702782,0.7145443395735821,0.6389167274880979,0.6445851916311887,0.6349116232887881,0.6792482708315842,0.6560228247340414,0.8395985320558303,0.8069347994101026,0.9009635121912262,1.0863095791054411,1.2887453815388104,1.458596921828818,1.4069536869825439,1.312790007112572,1.149163750725791,0.8873475865045366,0.9388807329023181,0.7354299415991387,0.5913502102150618,0.636422587820398,0.746373207141062,0.9899719739228791,0.7381630337927382,0.6653289156628995,0.7922951329392631,0.6412732130544143,0.6375681215259944,0.6785000440900291,0.7037452811559202,0.7234050059206744,0.8170519809269711,0.7928222604747122,0.9325387279679056,1.3487709039017046,1.0727220759453346,0.77572162647042,0.7184443225873994,0.7911510186637807,0.726375582720507,0.843876820428868,0.7976817548427383,0.7076800166057317,0.6945966309919814,0.7893457313861421,0.9169828587585592,1.0251518974834049,1.060509791584557,1.2457046695568919,1.2510337938406775,0.9488721829396529,0.9615124659970818,0.7929616044133665,0.8822427445285557,0.8720220795577799,0.8424909909404938,0.8867141521160112,0.799500243531437,0.8697543402656863,0.878804071771003,0.9460645873126422,1.0469211105603724,1.0038664812937346,1.2162621456059475,1.336604756339636,1.2414775767689579,1.1334802513425304,1.0696651066126825,1.3946977579504503,1.6515753020114254,1.3637266864676343,1.6028481576343907,1.2827716421664899,1.4591675301647087,1.4884873024783098,1.6563523661588213,2.0330368547116575,1.6473759027890011,1.7128206834806798,1.6518501129996195,1.5306008699894997,1.5571556189508757,1.3269876808970755,1.1977396735310362,1.3005286092197326,1.3538466803021367,1.140584509137214,1.1134367249421204,1.2613830367544572,1.25997113185398,1.248221654618111,1.3445295396005275,1.4237413401357022,1.4578506569054763,1.646508695109362,1.810657896410142,1.6316437711792973,1.6714159255407794,1.5003180801566336,1.3996242103508487,1.4781969327033198,1.7616336318342245,2.1903338622457094,1.9647684249626283,1.895957546856164,1.93235191541166,1.9512274098655307,1.8802734791445606,2.1612639400794817,2.1755789544942505,1.9722867067631003,2.072160447796924,2.4670034809761034,2.304071161647266,2.197212275982933,2.710366332334562,2.8517202342986505,2.4551282113182227,2.6057879002842625,1.899620292420906,1.8399977897037625,1.9096758543087147,1.694242691913203,1.6315916612848875,1.5558748868117467,1.564599328002229,1.535079054883069,1.4959822663079447,1.3602399486507992,1.2838708154435394,1.262877907859419,1.251682119661685,1.2073424017158854,1.2222178175946954,1.321491020488162,1.3279728841821625,1.4856284448633972,1.3892602886204821,1.4127314903049593,1.385810297410302,1.4132996596848688,1.4236348016735716,1.60198770384053,1.5371817327549022,1.3937244336516283,1.6192147112629818,1.7149916785440313,1.5640084626073159,1.622880714092764,2.0746620656259958,2.0721324883780237,1.6745603910416866,2.054232206956027,2.3162741260130213,2.129339477714368,1.8912291749269632,1.471925717133307,2.0667670901194644,1.4475426445201311,1.525860305061637,1.405829887074066,1.2340721897273046,1.3304301401553276,1.516401509756111,1.1327312280654636,1.0995461807219018,1.1219049467508226,1.324493058470292,1.0190484823498882,1.3010509631421174,0.8990547347914655,0.9844116718346888,1.0326397227964417,1.0643506934137599,0.9980370658333526,0.9227977366399656,1.14744634512768,1.101677934465696,0.9910409606424055,1.0280349255222834,1.5493654727597281,1.6205145785488757,2.0399493356526786,2.8106325568709063,4.258820591825348],[1.6141632006343827,1.324511967936612,1.4335578355066452,0.9914783459226663,1.0803556079283791,1.1255600412249425,1.0347475362983538,1.0456495980740468,0.9995442398261801,0.8944457659175725,0.8866106793325201,0.9203361448519827,0.9162570879477846,0.8241062016909414,0.8434282097632844,0.9024978606828389,0.9113445998718832,0.8798080460416818,0.9342732184974752,0.939892549263952,0.9920653498095693,1.0617899168064475,1.2825498684315342,1.3066448600681435,1.2679169177178307,1.0112574079074013,0.944247653801173,0.8764100462872642,0.9445718512059111,0.9435117778950404,0.889976087721194,0.9401122399549104,0.940422018356505,0.9652932613612732,1.0032770877701875,0.961962337348415,1.0777665542660546,1.018909039246214,1.0488182825751877,1.1800664171704867,1.1361664409880157,1.0056782645513989,1.0964940324969976,1.1702026264985494,1.4811944837350373,1.829059789322797,2.1259226932761712,1.4496931546013008,1.3750389224323392,1.8408873935448076,1.6585758996254225,1.9585969012946687,1.7663788024483615,1.5359002529548527,2.007688188300268,1.546569087489231,1.3970043620921295,1.3070766390204598,1.3813084548097234,1.7480133142200889,1.2837840467038317,1.2109327571437654,1.0799796524167473,1.10471323836827,1.0676555399087126,1.0457631935247413,1.040704062656438,0.8854362204949894,0.9044555196379761,0.9976017171721856,1.0952345114269206,1.2871361377521213,1.0198463692797954,0.9664219456845619,0.9077522369382172,1.032154132581164,0.987295651083657,1.003278872096646,1.1012240011625167,1.146829312888424,1.1911198150720699,1.5286713299462176,1.4194632663575566,1.5927819476975267,1.237529645170096,1.1769206216862793,1.1096075943666843,1.210659467875335,1.0306639600056453,1.0387162587613803,0.9405492793185147,1.0015273696206453,0.9227158807490342,0.896205638768813,0.8859634464034145,0.9103764591154166,0.9501211233582194,0.9114941210228173,0.9289036416474936,1.0455984654985113,1.0368371504100717,1.1830590275476174,1.1030953717556058,1.256824999532233,1.506925198522977,1.309564528304254,1.5572565514305265,1.5568137475791766,1.4435648382638389,1.3175126140223683,1.1910838515334683,1.1032660285895148,1.00500097055868,0.9826464601279502,0.9189622481744184,0.8645007578324087,0.8468594557269081,0.816743912639004,0.881090735731411,0.8465344302299784,0.8553018229919842,0.8403642572437059,0.8185180796053535,0.8559273061551351,0.9000091219829032,0.9456714719445131,1.0899000367847562,1.0959940481896362,1.1937651703983754,1.385386255230245,1.5413195075202253,1.7049208575580528,1.6821576688898918,1.614160818827177,1.447213653063699,1.1998801054994346,1.222160447593681,1.051194550936276,0.8985759478275569,0.9206892845612873,0.8514100411746596,1.066623865362965,0.9073187266114174,0.9127524539051785,1.038030122869822,0.9518422292018343,0.94978987906562,0.9973877978260891,1.0093025033240874,0.9810855478263177,1.1031839602312283,1.0680141018878697,1.156077134129708,1.5327651843391457,1.2789316806203508,1.0728031710275598,1.012703795719937,1.0831427339886566,1.052586405625927,1.1574644375079857,1.124078600732084,1.041925571234264,1.0239111668184369,1.1296082345446812,1.2200928256904657,1.30101238398305,1.3472160443547831,1.4915461434291857,1.4765754752241647,1.1968779345985727,1.246164787600455,1.116370364270661,1.2199929422346296,1.2295983184216994,1.2001679503802127,1.2430547067167275,1.1461577745791667,1.2380107975507695,1.2284108222553392,1.3264448539460953,1.3901071850161453,1.3480271209944472,1.548788127612211,1.6686477030555678,1.5446082360463818,1.4386416067165047,1.339868565804483,1.6032113150158642,1.7924392640825861,1.5475073392011574,1.7901359543394944,1.5625496507557206,1.721151059012952,1.73017352956678,1.882786981234193,2.2241970842597296,1.8454661913697026,1.8965343562977248,1.7917211275598728,1.6807627304315444,1.6903777868094951,1.4922531604489078,1.3715497440125235,1.424895919659997,1.487096331176922,1.31521077853399,1.2929468662775863,1.401112597112057,1.4153334323718338,1.440074915719236,1.547654658328248,1.6012502143549614,1.6216418389917417,1.822891139473176,2.0113123401548956,1.859436066295215,1.8475409742584759,1.700248146644213,1.5253193254315027,1.5876705450385453,1.7374135042482564,2.170268614491001,1.8837755542213779,1.8848832227331442,1.950104999339749,2.006998962239764,1.9862828443848601,2.263425332786592,2.218793792583126,2.048624073343139,2.198688484646838,2.5573178317608534,2.3647429205883372,2.291584966427897,2.83829365072907,2.9158844478450696,2.4923509713178387,2.7008516452599203,1.986248587754564,2.0040402878095627,2.065646524308726,1.8433864932705504,1.8061015779413552,1.7166614915622183,1.7607528491845543,1.7306510779608344,1.652190299139022,1.5474387114586696,1.480029561141788,1.4318495460555754,1.417139669944646,1.3695166739935596,1.3931910844513664,1.4669930973756395,1.4753069136511014,1.6259373211064454,1.5422454066798756,1.5389300246103572,1.5079700726033785,1.5147807937689162,1.543271189569079,1.68146172924892,1.594962726442526,1.4992700756737292,1.690647879711804,1.7330946098813151,1.5980185410909458,1.6695849437709624,2.0505811470157087,1.9849946786649015,1.6532966624143777,2.023710144157064,2.203817676966169,1.9910196494863088,1.7634878165524888,1.472299528018561,1.9966480859330122,1.677096881362047,1.8047136804187198,1.7701332798081348,1.4753529042998001,1.6044814284864721,1.9054278153191655,1.4541062992887055,1.3393193417146918,1.2116503870719304,1.365708166905568,1.1847824378767173,1.4578783560664186,1.1434376627740024,1.1823591896458934,1.2619830964063723,1.2704703984394063,1.243144468826069,1.1709234735239589,1.3552242463133137,1.318441182959786,1.2580528070650188,1.2472232405654449,1.7429869859918716,1.7405441559185302,2.1836995522987457,2.904814122130617,4.206195656186672],[1.4825347168146223,1.169317987929731,1.279932021129268,0.8265437054417093,0.9408792238074677,0.9730754603896938,0.9154591708255967,0.9122021427056203,0.8977530340415517,0.8053730709330263,0.8003488767408371,0.8281769183883667,0.8187600063095414,0.7500911508839074,0.7646771267480333,0.8263106681029899,0.835404435201433,0.8027840791868586,0.8601989227765472,0.8276159500279865,0.8639600114024242,0.9311001592141795,1.1629608476956224,1.1597182892036966,1.1341801894938723,0.8772373588439499,0.8414113102168063,0.7746233870511129,0.853273369158304,0.8455982838630183,0.8032625670412826,0.8398905373162386,0.8578878371770384,0.8855698039319899,0.9008537662260564,0.8576001959146146,0.966765500297222,0.8967113203124715,0.9316305682145917,1.0567204777592498,1.003935214892885,0.8834231700149647,0.9677476714645459,1.0399265217741351,1.3603976825628334,1.7473075648710126,1.9681908849656975,1.2864529307530064,1.2395445105829062,1.6886987996487806,1.4620084924051535,1.7957113353279992,1.6398125605250926,1.426406038254646,1.924870445264999,1.4319163821760912,1.2549373483438826,1.2061381864406686,1.2849795870023937,1.5554303398215825,1.1256965515610151,1.063723136478239,0.9517582546246794,0.9852621904867438,0.9376116585844441,0.9165039222679802,0.9150072771478327,0.7930023638820789,0.8388041691621774,0.9379283080529386,1.023320828262149,1.2242598137053955,0.9754693839910206,0.9414103203056663,0.8196125818907921,0.9572807033988581,0.8586467887042086,0.8872287936512292,0.97759323557988,1.020965636588804,1.0801674430520753,1.4208584765883887,1.2917758053797415,1.4809347283211274,1.111071588950891,1.0555124453344804,0.9865554541204656,1.1094712700386389,0.9147999939202183,0.9448934171958574,0.8368766814488761,0.9002758230145863,0.8432672921196132,0.814149106072194,0.8061260462095146,0.8297630132554773,0.8680545788971649,0.8072723649005245,0.8125816894826743,0.9162051512641153,0.9185995580883843,1.0449353849558591,0.9836132871359375,1.124310997229334,1.3616683556018452,1.1699797629700452,1.409794711877595,1.4344063331017045,1.2965142170951003,1.1584450685603813,1.0393355577339047,0.9666295228344111,0.873947454484191,0.8636742906853985,0.8089316197752014,0.7637649847167641,0.7534398794894465,0.735213252010206,0.8153885148370237,0.7591820534318168,0.7815505079067863,0.7564474402543081,0.745607617762911,0.7754305251229497,0.8086470946435582,0.8329405283690274,0.9638074461928936,0.9596314649418805,1.0387724738681565,1.2335449809584522,1.4025315797915152,1.5728489863520188,1.5631728804611624,1.4822064212635948,1.3209306899231454,1.060896572540636,1.0652180388260337,0.9072457740125663,0.7699979099496639,0.8023000216947042,0.7913475839885379,1.031407851540663,0.8367471298946847,0.8149931023276646,0.9179997114670848,0.8460741432231477,0.8378704018634134,0.8826547947443181,0.8909177005108251,0.8605542317589574,0.9634152693784207,0.9190032715442966,1.0248643661111472,1.3900469105446287,1.133705201897168,0.9273605479579116,0.8786346498450336,0.9522652477066205,0.926697877705745,1.0318552024029188,1.0037009854550714,0.9259904345269476,0.9093370536794458,1.005180460828007,1.0780992567985452,1.2112321995009494,1.2150998848541832,1.3688448396854125,1.3591725003217854,1.0702187566480825,1.1094462296301904,0.9744250943352462,1.0850217561204838,1.089231491326951,1.069990156825414,1.1081776070196945,1.0171272664709872,1.1090896502238576,1.1069220290734956,1.1804510211539034,1.233845282424089,1.205623433001066,1.4139624063781797,1.5311860692727155,1.4240874644886845,1.3129065054188673,1.2268185635084978,1.4757153590460785,1.7002721900753242,1.4135036249287187,1.6610411228303799,1.4224776568731676,1.5710556385161625,1.604125464168376,1.762080797947764,2.1184630951766095,1.7353228951339879,1.769088537331641,1.6751176299107442,1.5548933586900335,1.5432906453150725,1.3226894535238476,1.2046798616326975,1.2519475973013874,1.2941228477430626,1.101841824001716,1.0833145757852294,1.1726724315758288,1.1707265782283767,1.2177018423954253,1.313803399214045,1.3427443714060396,1.3854733354416746,1.62824692850941,1.7574844663847002,1.6251774733542315,1.5720111069670504,1.4451956529275751,1.265836440231127,1.3204846806433566,1.5235220787998278,1.8607300382491012,1.6743018145176034,1.678340332312347,1.7684596269039081,1.8178369293581471,1.8165832533638206,2.072558115708818,2.0342918398677567,1.894900408408624,2.026415862639303,2.3686491985400027,2.2105019470152354,2.1647115659598373,2.7091398607695516,2.7912221478667387,2.409736436778932,2.6614334072635537,1.8847303387876384,1.878877152515624,1.9150933957915475,1.6733767784911027,1.6289055409612532,1.5286932559277209,1.5935108220604774,1.5590879302050253,1.4487705122200922,1.3422171258074056,1.2991634189010373,1.2225379640235257,1.1859940051705544,1.1348695536751725,1.151144836071095,1.2192202380850397,1.2101720174231885,1.3824654677711519,1.2772826765768328,1.278344740967757,1.2513398281469363,1.2739299315156878,1.324504704695425,1.4758710400212554,1.369554660126281,1.272575798249307,1.5057744737885146,1.5447585094703973,1.3930939791256614,1.504278137734491,1.9008024789410953,1.834164902612425,1.4856753870283572,1.9207111162893693,2.076883423884127,1.8545338811405714,1.63697166149462,1.2737050323962473,1.9081436642998397,1.582754584825242,1.5914515517693772,1.605377778979706,1.258542708569508,1.4302065928472794,1.8215435943511697,1.3134865747649387,1.1487824608739288,1.0067726668971275,1.1990521152642846,1.0073859312695286,1.3222626625366292,0.9875009892368058,0.9993148660580189,1.0768261140196878,1.0697659548915868,1.041410093820996,0.9652386844611146,1.1540342627239069,1.0975979358048567,1.0660632785021134,1.0596339460521869,1.5575648226321237,1.5383207891117838,2.019960583400413,2.7557377639006746,4.067901950263939],[1.4465462903112771,1.1576225430851086,1.2736680709809736,0.7443319178016288,0.8719808334904553,0.8790202543365425,0.819783630291808,0.8083700550520582,0.8207404447779084,0.7369092533504507,0.7396855151166312,0.7699801902098032,0.7376634918884987,0.698202879138469,0.7065424169514242,0.7395927737244792,0.7685180261469129,0.7534439470786455,0.8259385363108024,0.810083851776831,0.8608378110575928,0.9269627444122657,1.1914414119305097,1.18733098112896,1.1642339258917271,0.8886764632968083,0.8359340746152545,0.7256166539170277,0.7966725665282257,0.7666109367811514,0.7401285519217492,0.7631754868092718,0.7774794077585849,0.8236994452727093,0.8454523170217032,0.8122140900175778,0.8957962239551378,0.8513011369483766,0.8886979749761241,1.0360365255953363,0.9942610509050019,0.8778825611097919,0.9726656388533662,1.0556227726403171,1.3711412975954473,1.7845811354801902,1.9603051952690391,1.2899817486078848,1.263710652429223,1.743071687328745,1.447614439675483,1.7679319187889377,1.6259965072001972,1.4225239808911108,1.9193128158768449,1.4201038905256456,1.2447863974579352,1.2103087894080982,1.2917877828661977,1.5271499002517217,1.1098648473912083,1.0514631802326382,0.9357959114635883,0.9769236516356513,0.9267718158723477,0.9035127789940116,0.903739473955893,0.7574107582549005,0.8034548857410792,0.8813627145512015,0.9854599853155355,1.168454944594376,0.9412888951186964,0.8829542001213626,0.7962086226444127,0.9179802171186346,0.8269289180405079,0.8555213732391611,0.9482456673218274,0.99693158048621,1.0507064346261323,1.4079228039602343,1.2485418997417879,1.4450835789438423,1.0767045785411549,1.0124789734831583,0.9547674070245881,1.055989896357552,0.8757554021249435,0.9107822357704649,0.7931862297448355,0.880450823144098,0.7798399669034696,0.7415518363938882,0.730589458084551,0.7418019072495687,0.8289270018149134,0.7280968743258054,0.7166066517548026,0.8151721621440278,0.8034894737155787,0.9202511838985912,0.8614390623121357,0.9751732681621119,1.2447628786225389,1.0364201332889704,1.2754000120085847,1.3138394496644825,1.1542286719436519,1.0192277094586237,0.8908747697149839,0.8407035146437126,0.7455081690530997,0.7569703579558453,0.7254233220114502,0.6884970092134223,0.7018635935081137,0.6744954215216329,0.7798720127374709,0.6961298303842947,0.7161068484187006,0.6983635683568878,0.689256032814367,0.7059037040862486,0.7200347430487587,0.7233566682239672,0.8455296820068313,0.8299135560874206,0.9170749424795553,1.129694547761165,1.3200187502986969,1.4852623915606256,1.5091497939793648,1.4072368280313428,1.2599565221742828,0.9770162979569811,0.9718435204662612,0.8144191833475644,0.6842985659009846,0.724518349319321,0.7409181875911872,1.0172479556327028,0.7813101064302779,0.7516319889696735,0.9070351778810454,0.7735903118031823,0.7517538431582468,0.7872018980057737,0.7776258661705917,0.7366642214144141,0.8280604046050246,0.7834953709407247,0.9121299601761003,1.301703916160818,1.0038719900804884,0.786260537737702,0.7447495237660068,0.8200870881468156,0.812973098188453,0.9047803162470408,0.9071769657216001,0.8515672121203177,0.8443832644692112,0.9503173086012425,1.0273255961079775,1.170702218097428,1.186435236637984,1.3499660253165267,1.3417661910655652,1.0321672246704636,1.0640433065986818,0.9094987929240989,1.0353271902165717,1.0278595891791287,1.002943660208167,1.0228794490086492,0.9466743067438802,1.0319919744981492,1.0488781057944376,1.1085870844370784,1.1791530060055557,1.1161016981503105,1.3483012668760295,1.4772178562931286,1.3800935492974977,1.2858871998649812,1.2193018841032133,1.4401677233953005,1.7205152901896206,1.3923702761445813,1.6399781812493,1.3990093026408326,1.5343425028525226,1.5677182084554753,1.7239619206892713,2.079942896731386,1.7051113068568102,1.6969560099488668,1.566947126652539,1.444411743846435,1.3848166447933221,1.1493038515773693,1.0382021163025457,1.0574186986456993,1.0804157131844039,0.9123363988227436,0.9345981916153493,0.9790761751573694,0.9732004125962923,1.1112269603293772,1.2278389649317474,1.2227651034106588,1.2847618494469986,1.591654936461391,1.6906470287507305,1.5750777245697711,1.4419946835822437,1.3470248107963712,1.0825240145471442,1.109811844848121,1.272468755843428,1.5374345336693132,1.434556878212803,1.4339058733727406,1.5171019419290985,1.5715852466134292,1.593186289014291,1.8416484804925601,1.7719692727814904,1.6759310493062298,1.8176481624511214,2.11824613070828,1.9756611482747384,1.9861797635513747,2.5643088472849924,2.593315810093146,2.2287742633013257,2.654063572903406,1.744066203368188,1.7679898464173487,1.7555236190039127,1.4831125475787978,1.451949462128261,1.3391520337097012,1.434669448038739,1.3837518192986578,1.2365319830918873,1.1488526795544098,1.1388407002274001,1.0162120936558352,0.9705702902494142,0.941450014329562,0.9560404611882842,0.9997355173294067,1.0022050011310208,1.2204401020495022,1.1016981861781032,1.0826439830661028,1.0496615911063625,1.041773476451868,1.092532244370851,1.227006924154468,1.1114094310844589,1.039009757026567,1.2672269920395807,1.2743851439982763,1.1427944872125435,1.263522212858632,1.6276561730957086,1.5533674088721814,1.2206739995281901,1.676134375059268,1.7610834190429168,1.560178086961944,1.349786821646848,1.0838183043146337,1.8034651709659912,1.7806708380779912,1.569089157174574,1.708157797823729,1.2294119557159724,1.4511196245879447,1.9973250673577863,1.436596331496014,1.2080145244102953,0.7638981051866063,0.995313893146893,0.8303147776752201,1.1835663057804173,0.8493960312255181,0.8658653062858329,0.9068478043529452,0.8892253502522199,0.8643172898215488,0.8109178090461696,1.0376734340178826,0.9502546764755542,0.978130636671858,0.9470738673314899,1.505857770544261,1.3844836278193395,1.8651835997035864,2.505504551677051,3.7714390241848523],[1.9517726622948732,1.6569770859997004,1.6283413826752018,1.1905696095306442,1.1847458272123677,1.208294360141471,1.0688403340685617,1.1063871366630444,1.0642768862549679,0.9551919017993649,0.9565114685811555,0.9954786317262727,0.9394592227292708,0.8734090275988606,0.8754633698591758,0.9020636452905261,0.8868806286583287,0.8508154338566474,0.8804981556247534,0.907661024569168,0.9511653798549345,1.0326765417024606,1.300025485549777,1.2971634200159154,1.2555016519136022,0.9668081349908104,0.9301474984926569,0.8217584889819377,0.9090144201503597,0.9278247449453537,0.8911415851320279,0.9669498453811487,0.9804570724765966,1.0004392024724278,1.0290494378151063,0.9605656913242013,1.0693893251960005,0.9893177297727591,1.0093265137186995,1.1765801828599958,1.1090448030185873,0.9950553078626512,1.1029450449187432,1.173590750482189,1.4775737607398,1.8764762199191711,2.0760921773795973,1.4262247739644967,1.3700375506253164,1.8182324655816533,1.585766686364272,1.8815986343927296,1.7814217878327474,1.5406522833026202,2.0539725928498176,1.5929062253070623,1.3906188957930508,1.36052160996586,1.4550354011283502,1.6406756332898607,1.2506283983519633,1.1953573071303658,1.0773575555529054,1.0768279752504162,1.038310760964642,1.0305697653597956,0.9760054667549648,0.8513958102305362,0.875477670106156,0.9203594738244696,1.020690974877549,1.18045519392748,0.9890473648083993,0.9056737401629806,0.8797256052721019,0.995841042283783,0.9560337018453838,1.012176583329023,1.1112659060548953,1.1751145373158352,1.222605045711282,1.572841690700077,1.4473525552644895,1.6066265947592158,1.2059892690401826,1.1705857416191514,1.1134314322250534,1.2219183209727946,1.0281162717731127,1.0809300914236284,0.9415244114020553,1.0224935697037494,0.9291493421226753,0.9111356838071911,0.9054252963587398,0.9061660667433142,1.0036347627129074,0.944835316207542,0.9792596777101987,1.1516183777787532,1.0671531985037153,1.2482715442067394,1.1333408464619237,1.2400385191547212,1.4741104385305597,1.3247327486092808,1.5913615677674482,1.5605259763766368,1.4808177084995555,1.388915065368733,1.2710769206023205,1.1181347306612734,1.00105383022678,0.9373803534371006,0.877198135234877,0.7953427418848529,0.7987707587657529,0.7202514067953806,0.8206026385163764,0.7792443467722101,0.7946656842799205,0.795760745150212,0.7874840746737918,0.8279310936540281,0.892474259988971,0.887752521081981,1.0899067357631709,1.0645646839342628,1.1714500892992838,1.332399276546633,1.4757310822192287,1.6880221336085308,1.6451946071415102,1.597461764259309,1.369215878531929,1.0767670661675832,1.042208787588542,0.8614791376970893,0.7254709553062284,0.7768981826853256,0.7826606367917672,1.0799915382303684,0.8359060821999256,0.8074967968379252,1.0020285888388538,0.8721895203023986,0.8553404437321104,0.9512418872058197,1.0007834702036487,0.9913937095140581,1.1636024498881148,1.1181401015529369,1.2382047674431456,1.586943259479751,1.3019076317469733,1.1370424559671406,1.0599487493540436,1.1437213329191673,1.0875881360319628,1.1759611029089396,1.0799331348054424,0.9972084136491933,0.9283642836129805,1.046638414710022,1.1240662929628107,1.2069234884673394,1.256161272033907,1.4378426671981108,1.3314708014605379,1.0361803311312436,1.0855835743908469,0.9639973716527123,1.131536037474011,1.161236393090845,1.1679885514021064,1.2401220855975073,1.1675511066782713,1.2748246375759646,1.24145001544177,1.3256161052833753,1.2946434537650031,1.3267132118246792,1.534167795701732,1.6531916228040653,1.5278009409221276,1.4414883792484268,1.3458920435361712,1.5915169709810433,1.7936657119232098,1.5090430634883842,1.6941828151995133,1.517213979485157,1.6125478253442542,1.6413686579827853,1.8284767177049495,2.191564894940895,1.7835149162217703,1.8888872517609219,1.8351940062163452,1.7331900775638478,1.8655798691557233,1.6762398744887619,1.5128701035895,1.6188453272936685,1.7249895374244921,1.5413331451674397,1.5047220490448578,1.6597064368391388,1.6671809369909614,1.6343831812221081,1.744647464532155,1.7889528272654356,1.7563353439955696,1.944505568622712,2.085182521423569,2.0134622896815553,2.000565373007495,1.9643324050278566,1.7691307040171849,1.8034632824359766,1.9487828967203173,2.236999320596558,2.0641475808960013,2.0415377870531595,2.1493639605606023,2.190167804784034,2.185467131287169,2.3565809128318542,2.3232509656887546,2.253895179562495,2.3150392062369765,2.5904027737671695,2.4512817057891465,2.4074587288688867,2.9391926817881764,2.9875726561434415,2.5756534454539755,2.74018528514961,2.0754142630671404,2.0973204429794206,2.185264940949907,2.048070450872477,1.9712510867231892,1.9115561345577623,1.9615766880541856,1.9282795120336846,1.8265323195084717,1.7652523423047435,1.7259481605787106,1.6888632106064017,1.6693222512157277,1.5903698492572222,1.6054569504013914,1.722693320123039,1.6823002481215457,1.738025470880259,1.7410367573585734,1.7989383636288494,1.7831373844001646,1.7897548870859188,1.7947832342346148,1.907770842766555,1.8484041269509979,1.7681315731326033,1.917246522675423,1.956276987304145,1.837188457709972,1.8732317512857701,2.2362885660110923,2.125701682961705,1.8325812524924272,2.185723807387647,2.310947035441109,2.0666522694339666,1.8920077701515903,1.71199231967145,2.2112263322577292,2.279295936127656,2.183238585254227,2.130766789025913,1.767827542989408,1.7868227614435535,2.1569325549369416,1.7846988699795583,1.747670992357128,1.347783421549731,1.4707392087332658,1.2681136910134923,1.4988551322090786,1.195409885031724,1.308066500795573,1.4176149658044535,1.4757166336500243,1.413157359834929,1.3075376736686086,1.5141657365095957,1.4869016968056814,1.4000173004979155,1.3966050353925223,1.881483692685301,1.9010194865244565,2.3831096446362334,3.151733913297819,4.394491741479256],[2.0832021452525975,1.8351594057963478,1.795634777884888,1.4999684741491375,1.4722319371099792,1.4691849903147298,1.3727992090210177,1.346428448913614,1.364461320751513,1.2466773244215947,1.248208299913371,1.3056862306930763,1.1571246854922412,1.1411545784163872,1.1100025343666573,1.094269056355797,1.098489312611624,1.0520914935336925,1.051627740118482,1.0463062253075923,1.0715290606564405,1.0912114382728,1.4074658236971818,1.3660433823252687,1.3622600876265933,1.083790821404147,1.0461167859675151,0.9850689727299614,1.0836355672326499,1.0712837922976126,1.0696312895765483,1.1043032506861643,1.141539127862996,1.1405855844392156,1.149312142716733,1.0965502476405071,1.1677517767659396,1.0921098768939184,1.0928602174826056,1.230344937126544,1.160288418927832,1.0671001323853997,1.1570022994351428,1.2009256980188792,1.4701617498990784,1.8805746227760851,2.0572385417787173,1.4363972653232493,1.391013737885463,1.877382735484219,1.6005360291783868,1.8745821404407845,1.797567001845682,1.549952634897708,2.0599847353849987,1.6134650131041444,1.4345071796742686,1.418236491357305,1.5052305713801755,1.669187319223501,1.3082757004716348,1.2794968925042438,1.1877481155868954,1.1674600476353667,1.112282185668695,1.1217900267590393,1.099602659571037,1.0328377299700304,1.0732651799725421,1.1355326934560057,1.2312632544197728,1.3664750725447934,1.1846224161617287,1.1230251262021378,1.0728859687159729,1.1385720314867809,1.078829189387388,1.1374009289964446,1.1924312392403251,1.2459948750606118,1.3084146947664639,1.6330938286382126,1.5112915126493531,1.653377283798635,1.2666226868027626,1.2542741073417139,1.1922029254839948,1.2576071221634406,1.1222940974842748,1.187060665745015,1.0972505193581485,1.1536787715967927,1.073222255104392,1.086088184022576,1.0968515521976168,1.1410804388114857,1.2357085029676267,1.1577972154460816,1.1727398233988418,1.2568960736125732,1.146256101942995,1.24410983782426,1.159294671022441,1.2374511461411872,1.4341694048398925,1.2719404111037755,1.4601554980599858,1.4441607741419906,1.342578483651024,1.3089745240293913,1.2595745313006086,1.175327367673687,1.1870250980993988,1.1069522380789207,1.1145796487895752,1.0245921725387395,0.9948173135894247,0.9125009017330878,0.9933972096492808,0.9926052677639376,1.0174218982089214,1.0726012193265337,1.0686077793397608,1.113274456404288,1.2080233811131091,1.1104189826435995,1.2943303118212854,1.144051901019182,1.1688487347563237,1.294241364280007,1.4102124359945478,1.6080896020543316,1.6407906282765876,1.5745466010042923,1.376885928586783,1.1335066987730762,1.0845316498450173,0.9848854934453808,0.9142164446290039,0.90603838281641,0.8559078293299682,1.0869543129106516,0.929125105056023,0.9338743568223331,1.09385447243008,0.9976042312409191,0.992443507219966,1.0736156752804173,1.1053509592002078,1.1717502005996472,1.2303371918963049,1.2826566155937051,1.3357420615665707,1.7651698544985515,1.392554195010505,1.2297743170273086,1.190808974334861,1.1912744175937602,1.146842646976509,1.1740203843459263,1.1361218464927496,1.0807940778741227,1.027532289462068,1.1328188938361707,1.1847121868418744,1.2250547649403498,1.3091398093270987,1.4802669315313817,1.38428021087723,1.082933284852594,1.134480092450358,1.0310039353038944,1.1879959117082604,1.206384130888725,1.217682095596452,1.2537782280787946,1.2094916819699921,1.2974601554677658,1.2787575728354859,1.331949545415016,1.3471299642712906,1.3150828400315902,1.5443890610743916,1.6983485879400988,1.5748907881238114,1.4971329203223969,1.393411968152056,1.5945752847317822,1.7603183353521852,1.537481321019775,1.7186536737846747,1.592874322458589,1.687918146756403,1.700794638116168,1.8631165224758994,2.195774205778104,1.7259537899123685,1.7706234974994535,1.6113215805602212,1.523482977046172,1.5208392479193111,1.4006581479688058,1.3469566563657445,1.366670999690081,1.4069946157088833,1.4246016845867095,1.5855924039463047,1.5380117321131082,1.5104853127097029,1.7475119477808905,1.877277242166598,1.8242487299222814,1.8676175266141744,2.125349659841253,2.2309576883976967,2.193671741079192,1.9668512111797873,2.016741589048144,1.6568327336677036,1.5925194667702738,1.4708529410578528,1.730969238588071,1.5188105842103738,1.5166093085635106,1.57321762602921,1.6428519102328258,1.7011399998322263,1.9157397495566928,1.7792966885010815,1.7402604373171586,1.9071472898938493,2.169331417713435,1.9607133747877166,2.0269396435664735,2.6789265566113047,2.625619836327085,2.157271644506723,2.61973358455039,1.7442097934954444,1.8732995701897066,1.8837957136408847,1.6512242689939054,1.6387359950317004,1.5187849256670616,1.647077601553903,1.5942857767367282,1.4794638090962478,1.4582105659697118,1.4671916932680589,1.4082770629583483,1.4081081695951907,1.435912125931605,1.4978166532847759,1.4840974021048337,1.5201959382128176,1.7150084946015267,1.6435528991523398,1.5624689869875836,1.5246237586059042,1.3986501302140124,1.409227481031987,1.4327860151390501,1.3905310361198902,1.4275166290729822,1.4383998357795627,1.3959939099782144,1.4025595509011117,1.3960435093789199,1.589547855009917,1.5251049476259555,1.3834387169288458,1.5794561887521412,1.578904546956816,1.481537847060717,1.4266730873633628,1.819364992720413,2.2690096165734914,2.7115985842255417,2.358622180061749,2.5386262505178845,2.0440904377505755,2.1493374458868657,2.6732067530366455,2.358390841327383,2.418493818183294,1.7770819462806375,1.363416611242015,1.378521161011775,1.3578704922581522,1.2610137288930001,1.4680092019635345,1.3346893493189604,1.3759371566602028,1.347702502179506,1.398427532279835,1.6346166961417965,1.5782117437352976,1.515568898105001,1.5729099159729376,2.0777781562415663,2.015451559862928,2.3324988268031808,2.94442270200437,3.983420260905812],[1.484932086697724,1.2571408443266376,1.41996144673828,0.8531220580203203,1.157220960317519,1.095486020299031,1.0950741942290307,1.0738752420989028,1.0718317845848908,1.0117984869219787,1.0110449467582208,1.063229868350525,1.068340012959627,0.9702392344266654,1.0141601219538001,1.0951609621268479,1.1233065181596658,1.1166940159665963,1.1950597067002773,1.1747451687141972,1.2314154370613075,1.2696737892024192,1.5735575034212346,1.5336486562256084,1.4959786282428482,1.2375911578948493,1.2213379001195304,1.1071317256906414,1.1656878365909276,1.122343393578728,1.0970211822062454,1.1035566378615735,1.1429643246070973,1.1907324900302787,1.2071105304015715,1.1862233112915779,1.2390210301606555,1.2183466653071209,1.2276445403091685,1.35815845248705,1.2870510070243455,1.241543623612267,1.3129318856990189,1.350421896240994,1.618958757566346,1.9735818842003308,2.11916405218825,1.5341575252991522,1.490995815905745,1.882896696258686,1.6987225069857026,2.0296587824464374,1.927797138920942,1.7081282529202355,2.1834233060119197,1.7414780320623549,1.5591691049168432,1.551040071081547,1.6328627280911543,1.7886386417954574,1.4330111563095873,1.416957577183732,1.320698967008413,1.3043956578706686,1.2935227075427025,1.2884301089621264,1.2371093347602273,1.1358880075075013,1.1785522771493966,1.1973496798723942,1.2538839831570303,1.4022024223895118,1.2215954627345422,1.2553010255940873,1.1429719333173505,1.2523662000786957,1.2080765485535283,1.249930763918199,1.330829755760681,1.3700282230022762,1.372607383826043,1.6977889629177618,1.5664538153114405,1.7264084831353403,1.360979313775058,1.3223037945960243,1.3036369604497426,1.376067187810139,1.2525963046285398,1.2608308394680217,1.172427374417117,1.2030471357580645,1.1139452844224225,1.0911049520052114,1.0624740162319957,1.0532130289968418,1.1099333897643138,1.068644971017842,1.0246569757227184,1.0443021945767066,1.0857276043408375,1.1548018707670809,1.131870027938823,1.2284616214660382,1.4438968410208266,1.2386324492919822,1.3324865515225657,1.3188719967315647,1.1640636623623695,1.1388576902684826,1.0483558691398998,1.0571173977606723,1.044474050044912,1.0360218982271854,1.0317610671665043,1.0094793054878226,1.0119755663969285,1.011333955695987,1.0645501178932322,1.0349228582015642,1.0274869590352245,0.9806873864408892,0.94479698921138,0.9781499459038292,1.001086789295729,1.0011250611069202,1.1492856748966307,1.0571524492921214,1.0750781931560198,1.2312991146159418,1.2792691090151207,1.4289126565039094,1.523227652779977,1.4797201015994552,1.3648504236587584,1.1593184981076345,1.0597407068780227,1.0490801976813953,0.9718592450950722,1.0668788650437129,1.0882602220344766,1.3811610111932437,1.1757861823384708,1.1272393933707898,1.224762124422235,1.1250471802545676,1.0758364040812878,1.0901717272660278,1.058340755471371,1.0460520815352643,1.0760452419209114,1.0363219230610803,1.1360729908412102,1.4009164633127191,1.1187748469285472,1.0261558469654872,1.0220662750188572,1.0855954047237835,1.0733124031696142,1.1217522075296407,1.1576112342104576,1.1717404928428947,1.171746711519904,1.289937087805597,1.379846788893063,1.4739117333572367,1.456135661616883,1.6163299162655071,1.5041157528462283,1.2922943186119835,1.2909945600427926,1.2020679463742494,1.2967653114822209,1.2881262603390267,1.2707245301859549,1.26413506404332,1.206347313302999,1.3116485584338529,1.334743267415192,1.3607755513314395,1.436889032863829,1.2965918527797164,1.4774242448033428,1.6038292558354528,1.571506800283634,1.5552465205696029,1.508406314183676,1.74974053860637,1.8817616339469003,1.633537341504285,1.8216215643995544,1.6361177695608866,1.6881705429836653,1.6679323508232877,1.7869691048677196,2.085941590822993,1.5946807372609817,1.5878162033735779,1.3509593382467808,1.2670580272568768,1.2617728186339336,1.134464034602785,1.0500159130419624,1.0575339005090554,1.1049901908831747,1.0737621950125225,1.2304948670097189,1.195691656828406,1.1551218017216052,1.3660615710028359,1.4960553246375596,1.4546142126171837,1.4724640937433584,1.7461636181291074,1.856108653234623,1.8156401137871079,1.6427799277069883,1.7166061901298553,1.3689012159295568,1.3443455123274421,1.3791667832192849,1.6789613339615128,1.5160262408297642,1.4020037958874343,1.4497978164082932,1.5108484945676584,1.5222059579019287,1.786276886201126,1.6641519272755718,1.5588129585665782,1.723052643984453,2.000164053346362,1.7765483913554436,1.7796752421535578,2.5127504318004474,2.3721747445201173,1.847979712196964,2.3016936430752777,1.4665203812596035,1.6410270418914064,1.6858438438605186,1.455394332084615,1.4848360106380047,1.3861020308154324,1.4890929905174808,1.4143533293275,1.3148633469060476,1.2493090475997717,1.2240356681169022,1.1096539997336248,1.1073561169894954,1.0998741455388823,1.1401829601839177,1.1643765712389749,1.1680016984977966,1.3644904476652233,1.2880158724779769,1.2411031672845314,1.224690421784027,1.1375346144882492,1.1501662752451107,1.2382758687600939,1.1832031457836862,1.1477409286919353,1.219741580790899,1.250755220657461,1.2185537958095292,1.1871490159800777,1.4558307544418456,1.4850146884016227,1.2412211837417724,1.3569860954980988,1.503531946362109,1.4946810411057618,1.3673753665533948,1.5432839433878385,2.1640442672526596,2.3656957695873557,2.0158805503899706,2.1037396079222312,1.6473102833082502,1.765859828382816,2.321728417928971,1.985389731164975,1.9464120039356718,1.473903494381497,1.0818199198668337,1.0772355193933187,1.064177077817661,1.0234113215360572,1.1968175340613214,1.0242277065430776,1.066081545683446,1.0755385475236232,1.0284662286763802,1.3011839869943926,1.1758000755701692,1.1400830186203939,1.1248822837363013,1.670843624885393,1.4547899847177561,1.8843840422807492,2.4545617255696084,3.5434752182869698],[1.5024782992385792,1.3317683209245734,1.4950314631569102,0.914213981239198,1.1919299949793711,1.1190327979263257,1.0494991856535085,1.0089230496086377,1.0069974747181931,0.8868192942494215,0.8773302556301998,0.9408706250666168,0.8626941385902349,0.7882646015935901,0.7958281887980184,0.837657160984412,0.8564373124239535,0.8326127571843883,0.8955466939679343,0.892904557495,0.9456900404035181,1.0036253217060835,1.3064845051809584,1.2897868652117703,1.2606190645901887,0.9604621903091308,0.9082331857910573,0.7970416271896951,0.8755673395043647,0.8337518949875046,0.8169583566613585,0.8416439442906969,0.8783801288530069,0.9041196969918047,0.918571136427868,0.8858242713935317,0.9420685000857821,0.9206073165490883,0.9380819256174191,1.0740477091137992,1.0418813300191616,0.962733707899849,1.0515399665011222,1.1363184107341788,1.435348735627731,1.8613405941878876,2.0185558723064507,1.3653076201684031,1.348316301869449,1.827590190875781,1.5164246379416262,1.8111581639491359,1.6811948077324799,1.457061015155605,1.954929971559496,1.4763330586449965,1.312524275630938,1.2775151231712676,1.354551860498007,1.560448253179003,1.19843313018715,1.1565641340821722,1.0346936315065771,1.0525630966935904,1.0149072891634978,0.998241291726421,0.9578515381076079,0.8413619159291164,0.8868387239502589,0.9220737464791157,1.0237323064239114,1.170342205427706,0.9776304429459026,0.9374674102558452,0.8732872830433192,0.9710560152915161,0.9136784819453366,0.9491323594826072,1.0276090929181088,1.0713133781098638,1.092992547300981,1.457473137651337,1.274388348727933,1.4639105643076074,1.0852470618044934,1.0417833004881543,1.0105332776291538,1.0811717635862754,0.953633048487592,0.9834118192280723,0.881560881706257,0.9502016158131077,0.842321862245279,0.823970750006082,0.8161133718059521,0.8370218473328127,0.9348035078663443,0.8643897548969506,0.8528404975514565,0.9280628373156462,0.8875053486840646,0.9651915259780405,0.8990462853035125,0.9990332059044078,1.1955945785141864,0.9986273956901986,1.120547673012493,1.1392108785830446,0.9931765964339792,0.9526101876474369,0.9061117541348893,0.872981463277661,0.9007058993462427,0.8340764823558544,0.8198257752822842,0.7564690849658426,0.7641935472516949,0.7200343555302332,0.8222435012411786,0.7735562227213756,0.7749002634905512,0.7533267571241681,0.7402985763190222,0.7892949899795704,0.8744638298310767,0.8200782836330084,1.08006451673533,0.8891041859701563,0.8761964382371402,1.019922134041963,1.1262151837782446,1.2658229398645233,1.3643524573130688,1.2789045564957013,1.1670705031648059,0.9183526070135273,0.8509257404450326,0.7770362153240085,0.6952640901892387,0.7687108625436649,0.7552255819839752,1.0303142904465044,0.8259111438341974,0.8014926309494348,0.9627732238861471,0.823577758372588,0.7974122336267668,0.8349779893275079,0.8328685381197142,0.8759952197238553,0.9430804334574234,0.9362777352803462,1.0719621051002768,1.386216701875853,1.0465037101885122,0.9039293366833483,0.8567678532247239,0.9179799574672173,0.8727638882985748,0.9217382052647268,0.9057885191506904,0.8776205711089934,0.8648519456136805,0.9731945362605682,1.040852040502389,1.1592533552877045,1.1817282794967243,1.3656523236820834,1.3165334954670938,0.9912139708969312,1.0193736601915626,0.8970205915205863,1.0142388143391274,1.002767592134461,0.994128778239119,0.9989517392530178,0.9630416891254691,1.0253822958900634,1.0495393683451846,1.0782033204840875,1.145586222913307,1.055260095711773,1.2537365371854856,1.4016554924348719,1.349905421549952,1.2873543350898933,1.2440506830019604,1.457259082466904,1.7194286259234246,1.405273519704436,1.6346428320193307,1.4058745350475212,1.5204710562954056,1.5228019776027617,1.6341491096604213,1.946082765952993,1.5202973028015208,1.462416794671547,1.2274172535152736,1.1554725980618554,1.0994865277723405,0.9816276579262362,0.9261248658874373,0.9588109615364585,0.9889255757180686,1.0392459960778964,1.299875673527854,1.1966192945875487,1.1344071550375643,1.452114296669986,1.5998686637941861,1.5274603759757657,1.5572350719259582,1.8746851862277845,1.945568233302004,1.9134496710545807,1.6744488613888242,1.728874034736992,1.3810830512894436,1.3155455556284894,1.214205230428758,1.4745505715072298,1.2766943964494848,1.2324695935266385,1.1956954010773764,1.2378994940518224,1.2713758526580257,1.5105010164912172,1.3756081174724797,1.2973791904887986,1.4758468076872953,1.705473875572875,1.5103325838649615,1.5597747857301092,2.2483802056163595,2.079356144131334,1.6460040701059047,2.3375383285534532,1.309822661952709,1.493589232298179,1.470173199408724,1.2265448762414388,1.2792320023256796,1.1851553482327317,1.3143376046575213,1.2279975110557813,1.1827281340597262,1.0995008092801155,1.0915308654600617,1.0006706627552209,1.0234502692990632,1.0660726470717512,1.1213099446535757,1.1053538411152,1.1479945096728459,1.3911422152167863,1.2950942304353,1.2003780317424348,1.175519106237616,1.0196127948109446,1.0016152604232245,1.0379355340666867,1.0371223380166,1.0490130480846973,1.0303498252098986,1.0489446420643795,1.0990010471348068,1.0275313855922446,1.1816339886457354,1.310026968293896,1.1596815831241265,1.127794961936061,1.222089381196864,1.33027100448075,1.2593140896387849,1.572670237309435,2.0558861822153363,2.4344262219328336,1.9960379411702684,2.2239123685757147,1.7857689043795584,1.9358818013525143,2.5345949869772153,2.232967114888761,2.132522819891807,1.6480645501975757,1.0906631319632851,1.0838431067564547,0.9408818229892211,0.92798151368312,1.225178051256586,0.9242707416368903,0.9843245679041849,0.9921295623990151,0.9911597426410341,1.3493936203657466,1.1760611737024476,1.1324200852162112,1.1920927919196933,1.718888016838838,1.4069156282863535,1.8304527036498217,2.274312450239353,3.2676193072380033],[1.341034686047543,1.2034744587357915,1.4363813556296154,0.8386873601667081,1.1108934653905125,1.0750438943811906,1.029923024939989,0.971055314930442,0.9932249053243078,0.8755132883229833,0.8654376678366197,0.9031150529871569,0.8334362213987523,0.7787830284266478,0.7675947666054987,0.7823545299672309,0.8020991065019999,0.7463530405215337,0.8054064347229082,0.7398810267675742,0.8020841293339127,0.8682914811408474,1.1133487189089775,1.1294712674244802,1.092468841674189,0.822896879627258,0.7508243983989018,0.6866513788798825,0.759407557198319,0.7186393122838234,0.7327821117042409,0.7415956055585068,0.7922073353028882,0.7698496471495475,0.7556523546031058,0.7296829044327949,0.7725905994742381,0.7354279589430898,0.7411466487464753,0.8463514151407381,0.8547136676535068,0.7874410224696736,0.855023761714989,0.9809995197418635,1.3191991293673397,1.7339477205103668,1.9089639659725484,1.2033405217234003,1.1881244364564778,1.7010403187009815,1.3561037751246399,1.695812243669434,1.4937309784893003,1.2956695740662187,1.7700052072077042,1.2593656805612574,1.1098916468069184,1.0602902617725065,1.1159907505508886,1.3830881065706053,0.9789389325429376,0.940073909543523,0.8270500613138803,0.892707853863729,0.8267116097250213,0.814539462353688,0.8563149210498557,0.7153336040950172,0.8210885303852776,0.9215721090570389,1.04515554496608,1.2161414286253953,0.9829661415714039,0.9020817540621366,0.8004360508069784,0.9038800149179568,0.7477807113670936,0.7689749394834856,0.8298518617014384,0.8393111208056573,0.849115226111396,1.2182999193659663,1.0151387912798913,1.2375935655338826,0.8818270220030688,0.8234461038191574,0.7928976280066039,0.8846669486548039,0.7660946898914154,0.8030573174738578,0.7435351603314895,0.8585602476348729,0.782930714997852,0.7450570104755742,0.7620363087318018,0.8347826192810935,0.9463502875674833,0.819075216345053,0.8084620812751161,0.8645440040226793,0.8073039664548399,0.8630841001876143,0.7607608219679222,0.866309118229945,1.032538670172689,0.8466610951203297,0.9433577395529568,1.0033861658150374,0.8682376981657091,0.8453048617424055,0.7784875609307438,0.7662692373401184,0.8569575036306112,0.7845717226245099,0.7897659197448178,0.7411324869900743,0.7130779658940659,0.690058974510257,0.7625025948803615,0.734915479677646,0.7720993700262927,0.7444709001759214,0.7341532717000259,0.7972183883449602,0.8929970127966267,0.8216367009813018,1.0416069488607316,0.8126136030744873,0.7586571999540741,0.8661022133923119,1.0071603581023614,1.098568880990632,1.1520565025337315,1.0524867931130502,0.9781918032516614,0.784685783036443,0.790376863801579,0.6957675216864331,0.6285494530897644,0.6815988204867061,0.7164086785410909,0.9427383135967929,0.7361600124688122,0.7006699319067662,0.7934725630755218,0.7028040776720264,0.7066635589573678,0.7470453233889944,0.7472435425682694,0.8433598534535263,0.8704007939241833,0.8927491458381973,0.9821646943653097,1.3280190472494529,1.038943572639737,0.8359890516911666,0.8003482560333491,0.8346632296691956,0.7567825036269821,0.7813019418878743,0.7547184848456052,0.7191376957640891,0.7170526563825085,0.7872130750764149,0.8543615381053848,1.0224532597226457,0.9903831803979678,1.2031913034317727,1.2184563626372082,0.8916867817316338,0.8843181322102047,0.7544382228846861,0.8166214502955502,0.8031227528744441,0.7858301582141467,0.7949466676917567,0.7894406778901303,0.8021903149692664,0.826495908513127,0.8443110528501353,0.9771793218906887,0.8461764680446996,1.0051988505053155,1.133248325844068,1.1002029493734038,1.0364211850456508,1.0252634451165177,1.2912556902336814,1.6785967069481336,1.275906197436404,1.5731084018331942,1.1861627759528788,1.3469237986102018,1.348756331294056,1.4389984213231803,1.7570324784901745,1.4127030948103874,1.3520404137853763,1.1768237134685597,1.1026254795280548,1.0097544105799545,0.8477827370246017,0.7890060947068293,0.8076394810575424,0.8354803092410774,0.8679008199225594,1.0513657127734635,0.9673962244659988,0.9590514028515604,1.2888203621815795,1.3928750519659567,1.341978187355081,1.4381274930831842,1.7479618605890588,1.7814067479814715,1.6832322988357042,1.478411771063231,1.381930553236318,1.1035406377415629,1.0873731809132496,1.0651782364604796,1.3531758521447503,1.1766096399832786,1.1852384470049044,1.1306642742883635,1.1527214314153622,1.1620960276057326,1.4142791515397541,1.3172875983635433,1.2260589563524353,1.3756781936786109,1.646955668855347,1.4938886932207185,1.507372367398249,2.1595156151971677,2.0895187187562434,1.6933833781707646,2.3134140513433694,1.283504041301252,1.384144234511903,1.3444251266777985,1.0945501643835056,1.1362802999331352,1.0249899054672558,1.1696548809422178,1.0749227936799952,1.0258689980516473,0.9290793271592556,0.9285969992420893,0.8378473394556792,0.8737562260534327,0.9542366930628621,0.9844700566970852,0.9434979847945275,1.0218758101767142,1.303221975835159,1.1495648416525923,1.0535704759294595,1.0067541791290815,0.8666289805722065,0.844656471467563,0.8997329685906773,0.8844252559996967,0.8714663509159305,0.9212800033906161,0.9500700437389998,0.940379542770326,0.9276938953999516,1.1723025221428445,1.2566809339535694,0.9957912527990644,1.169916927055634,1.2730008857551793,1.2625848673891766,1.0878164544278528,1.1186188937417882,1.7747923083523944,1.9119515181648084,1.5525571240610585,1.7970195218553349,1.417653796945756,1.708581417291965,2.2567471197823137,1.744041147704443,1.4123476003821158,0.939734196855633,0.8539239497856937,0.8206835827893324,0.8582035124801193,0.7939393769845693,1.076322717226201,0.7840930535510683,0.8307702394410839,0.8574114480170743,0.8644216644670589,1.2320492987160518,1.0353176932373684,1.0538536738425328,1.1079075085349317,1.601120402671602,1.2608490285220837,1.7295600654675727,2.0371896256988076,3.127995960653232],[1.3049665599003355,1.2452765987131074,1.5116795951694606,0.8870002303149175,1.2040972045414942,1.096320863275214,1.032300435321588,0.9567799773331154,0.978044987572053,0.8219405394117002,0.801118736918649,0.8360695022647991,0.7459656117833718,0.688935602282797,0.6653345701361201,0.6760405944713376,0.6944897012437029,0.6378380504668208,0.7224387106152381,0.6671337708101465,0.7485687231654248,0.8095613671286805,1.100545262530635,1.1336432332003588,1.1016442073143113,0.7907355192544111,0.6962414922607602,0.5843725732225522,0.651524830892855,0.5952708727265872,0.6124005336888587,0.6225586581954514,0.6780805966285963,0.6564777997008894,0.6435831178425232,0.6276622836711007,0.6532329957329808,0.6369429221949116,0.6555873942168037,0.7766760396446517,0.8073007724361685,0.7316608809757115,0.8194726212868984,0.9549614955742911,1.271636940010575,1.7168396316658683,1.8905357034820995,1.1819152643421058,1.208919060317326,1.747110202815786,1.3616346173694196,1.7056127659740778,1.4785306379624747,1.2925477930184128,1.7508440209504053,1.2229442384413909,1.0862355198929794,1.0285382785357369,1.0866877512630682,1.3287957082638333,0.9513162250211666,0.8918665245271877,0.7680751078013088,0.8326778627408457,0.7784793116998523,0.7515193137745408,0.7814544231359427,0.6316651124826785,0.7332865250796834,0.823041027389282,0.9487368621475454,1.1200982064617615,0.8834096523035706,0.8225067153822231,0.7025049258683884,0.8120755736873114,0.6668949723428721,0.6778979277779846,0.7376751205294034,0.7654654996624564,0.7682277015905008,1.1481403869308024,0.903644246184462,1.148372156014314,0.8170676220823578,0.7284235823554528,0.7067474651762592,0.7940911062197392,0.6713721278382823,0.7047834426169508,0.6424239086626226,0.7682845540812101,0.6803577834982621,0.6319707483188478,0.6530076103901175,0.7321494057989001,0.8590959496453902,0.7191229326785828,0.7169344108992577,0.7847858385175889,0.6966102376147774,0.7751956490272518,0.6410406419901545,0.7428221868811339,0.8974507589047366,0.7179365893105888,0.7871634446112166,0.8725294890369534,0.7506007642016354,0.7627660506900925,0.715725600494646,0.6757013144117162,0.8044369514390248,0.6853070588412111,0.6903956392412587,0.6397727244070864,0.6163324996066838,0.5956314267815298,0.708703889761973,0.6277271346120558,0.6676732873355059,0.6555031917207063,0.6557178291510567,0.7142427915650177,0.8430085754021376,0.7650841576931452,1.0602171995148482,0.7507975400356673,0.6548628933659223,0.7474271095501676,0.8961816953897797,0.9451272610570092,1.0121861533830168,0.9044728917836973,0.8823839432449058,0.676856075522432,0.7244816494442584,0.5955732612800807,0.5241848889671856,0.5640229474119499,0.6133262033500768,0.8578819650900106,0.6264274815616498,0.5887204835717893,0.7565528733149524,0.5825118529153163,0.5863971580203119,0.6265150700295572,0.6343643466780218,0.7698296550643449,0.8104030050751287,0.8460775293263169,0.9490310414596336,1.2721960736421696,0.9921916231858509,0.7640050543588264,0.7102632338509671,0.7494418459277773,0.6417458439747972,0.6621871585505533,0.6246702950820998,0.5965328070189482,0.612309569866525,0.6894505388794111,0.7496500137094396,0.9743651951077815,0.9953987681808748,1.247923183347259,1.290018417473893,0.9789916593174007,0.870831954570932,0.6722154954924192,0.7295170141288432,0.6816458457745265,0.6562428444494043,0.6576445254155576,0.66620321375721,0.6629144907813417,0.7063269173752422,0.7039057275163163,0.8661596930033848,0.7096676363561787,0.881582932495517,1.014855392446118,1.0033214979367042,0.9714974311976327,0.9871116259518945,1.1988395665052485,1.740129189831132,1.288476399044024,1.6266211669552686,1.1555274437637664,1.301953451923604,1.2746028285934345,1.278080228535077,1.5259445567210905,1.2839174511139422,1.1817532507451176,1.0211248753677504,1.004625353217212,0.8864217701385054,0.7676612939146857,0.7396054698401635,0.7863270647142924,0.8061368485103844,0.9044457101508541,1.1356187096623511,1.0251949686963042,1.002804136278804,1.3547426778789988,1.4503947393453085,1.3874077812701142,1.4788519891899399,1.7722513013007517,1.7690856656550242,1.6781852687616303,1.4838262832174263,1.3942038398451224,1.1546202247138815,1.1310098733260208,1.0406749689461403,1.3865498329729564,1.1147062135433896,1.149043414456321,0.9882549063570069,0.9748114892265604,0.9955340505154158,1.2025878264066152,1.0885081342865406,1.02325090317551,1.169041698571523,1.3825314710281231,1.2438116666744004,1.2565857276257328,1.863452020177135,1.7505946790385851,1.403070139671253,2.120473219103186,1.0877433953398619,1.2231527582424293,1.1656946144782745,0.9594300333074576,1.043754516659128,0.9491011722901157,1.0992029553353981,0.9928185286246309,0.9945401866164069,0.882228321839751,0.8761713350767211,0.8071546725831406,0.8736942548307967,0.9919470379227552,1.016657747726964,0.9644171655772311,1.057411800378318,1.3255169620091052,1.1888478732720908,1.0812859177759524,1.0417077935994932,0.8688444233799669,0.811430206125291,0.8131437829876083,0.8623214930058496,0.8840115132559104,0.8379688955974445,0.8792687582015813,0.9347338471370268,0.8665773365433773,0.9968097842312134,1.1687627479985476,0.9973527881394341,0.9941444472715658,1.0847040671690578,1.173169790192797,1.0563972912463016,1.1646665552299873,1.699643864158345,1.9311933012341678,1.522274919886332,1.74667596842309,1.4638541856910379,1.7501584219683912,2.222218164369931,1.7517949616614528,1.3926676649026508,1.0774214134470224,0.9334997675461464,0.891930411464385,0.7868972599811954,0.7863426041280003,1.1662466791033883,0.767963932310948,0.8247874226837411,0.8597480791521039,0.8921616139090208,1.290953293645207,1.038077955764476,1.0852928712728738,1.1874141537488838,1.6045416395573562,1.2252461668646009,1.820957187715714,2.0160411972610928,3.022991348525891],[1.732967389497969,1.641122082224422,1.8110303855835266,1.2566899013379322,1.5096403210934362,1.380996703153981,1.2447409821641429,1.1782092192271358,1.1764918195364529,0.9917646820965174,0.9786274518628104,1.0409172418285888,0.9132726303275935,0.8607588793135917,0.8518603773013197,0.8703833501802238,0.8876871825982365,0.8713519983221657,0.9345329732907028,0.9527992487725948,1.0260093142418325,1.0802945124494259,1.408704228258707,1.4094037948402447,1.3967144128911528,1.0520826263088783,0.9907003451376009,0.8529556241965358,0.904209821635451,0.8369869604900488,0.8442929263082659,0.8507818487431003,0.8979021222374478,0.9132364797213768,0.9205670832451487,0.8998497512362068,0.9230784134268254,0.9460117688601793,0.9832648820605957,1.1187195580055924,1.1441006927696606,1.0350884212241118,1.146955641270796,1.237135047823061,1.4871884231781654,1.9273032669975994,2.081494617927484,1.4652562652322783,1.5216106562244387,1.9833099571349309,1.645241977950377,1.9353106295091305,1.7767872493189731,1.5753625670708282,2.03306870182946,1.5720732642828448,1.4039769866235923,1.3499931778112737,1.4326606775710489,1.5983701259300773,1.279764224879624,1.214364759566022,1.0820746519136257,1.117032085912826,1.0813057604237957,1.0551980971039836,1.0107040086266994,0.8882061614307588,0.9172990560414838,0.9389084804925852,1.0155626912027556,1.147056699065127,1.0098042510936183,0.9695489802887058,0.9230789398254335,0.9968280145114002,0.9389855514180722,0.9583415148436776,1.0202511766032811,1.0906274346118174,1.1126432893823004,1.4670098415873358,1.2369849496553553,1.4556507166263564,1.1319625179931332,1.048469994468059,1.031065771639546,1.0485869754588473,0.9685480616799451,1.004286570347132,0.8998021265223499,0.9662479629552752,0.8606414670169957,0.8462340680263584,0.8476303178292167,0.9005473441629663,0.9855370763338099,0.9220208554992896,0.9129085831980776,0.9934131582254735,0.8925865372947207,0.951029399339157,0.8552981485760731,0.9389560988663029,1.0967620655875119,0.9184792387185164,0.9803843285801809,1.0207248876662511,0.898072490211619,0.906065017684152,0.9444341692868023,0.8663474727763826,0.9763262913378475,0.8616549755089703,0.8648676871472165,0.8013580440678144,0.8175302744499445,0.7802519922438753,0.9108503691702007,0.8088163827565922,0.8013607596443952,0.8095227033825029,0.797339110148636,0.8449684276917513,0.9788110794718792,0.8805150634663568,1.2239749824058461,0.9143039566324082,0.846269653802812,0.9343011945605825,1.054275691103574,1.1451939447741215,1.3317518351777975,1.1957532423011088,1.1820665419086858,0.9264807659502692,0.865347439870409,0.8252506470106599,0.7585151534069663,0.8085687785610368,0.7971594803173507,1.0540003607565676,0.8641471949878536,0.8427277842232013,1.0500816709497884,0.8475746982126627,0.8170530845558133,0.8319850479629234,0.8296549682883918,0.92608576222126,0.9824077339874526,1.0709268355273327,1.1551297103058975,1.5062448036484164,1.1152859323922724,0.9747193473689711,0.9112852862740772,0.9275892731456244,0.8659545764488709,0.8818052543263191,0.8744117428118957,0.8812927644640763,0.9193163938713322,1.0164562111975852,1.0848283926024072,1.240765672260834,1.3555697979057704,1.5895937330477785,1.6059632742882095,1.2653262263505722,1.1648519053721433,0.9655721974405014,1.0608833354118858,0.9946902442442052,0.9732634761862003,0.9369933597474644,0.9291152934102503,0.9549791126110192,1.0122941716307332,1.0092926074406328,1.0797268594302252,0.9812231530616013,1.216810708479303,1.3987549059895386,1.3861072971646358,1.341747025457705,1.305877553754656,1.4493147613481188,1.891984528678963,1.5618415971528525,1.8292043861212295,1.5196544526746358,1.6340947036029085,1.5945650821011768,1.5968083514257352,1.795193578059325,1.4868672974836419,1.2897484656989717,1.0552868819361476,1.041126103256151,0.9530725994562633,0.9236673050246517,0.94776578290984,1.042776507809174,1.05794262146032,1.2501954466013243,1.6213944872624235,1.4379560558591133,1.3647175097962831,1.777089932575391,1.9122783577511864,1.8146911951698974,1.8696507394589292,2.1803090927960858,2.190086380577053,2.1526817628306008,1.8984911456281282,1.8723849878177392,1.587616765611121,1.5163795020319615,1.2971085843711787,1.5726996268537072,1.2593228229028064,1.2278376854154374,1.041685666520757,1.009408771916492,1.0370394172981916,1.2124351884224713,1.096203788176735,1.0482780590898915,1.1893670358220612,1.3766060123438824,1.220918093488483,1.2643520294621289,1.8930907247523623,1.7296672311846468,1.36996028504868,2.2141353233593164,1.1085217038036255,1.2782181385054687,1.2079787891015714,1.0260830234424978,1.1059333587984965,1.0244780669085791,1.179190020379891,1.0884092698044403,1.1480927847124858,1.049871507131225,1.0586005035397696,1.067460588320261,1.152010202696707,1.2607124569648083,1.3529449029334726,1.2889545107074378,1.3756579674093758,1.6515394059928201,1.561769268672051,1.4267834073529144,1.384390761043467,1.141500923855102,1.0366581723396229,0.9742286964957663,1.1171429162342839,1.1887477574856151,0.9766064278964824,1.0431027291372523,1.1978670389992203,1.033998569505583,1.016270807512533,1.2905638970614794,1.252192626120694,1.0020325764399844,1.0828214773386309,1.2984845798315163,1.282528188526654,1.6530632082078902,1.932646320377115,2.3868338526165003,2.012593952378626,2.3328807863095036,2.0464973405500375,2.269753359591136,2.768278169010849,2.497859628808474,2.1567622082767084,1.8179440394923978,1.2954441020122704,1.3676796058713951,0.9077655087501922,1.0584154249669706,1.5352595948221441,1.0357439552442507,1.1294189494400295,1.121627477459884,1.2173406664037059,1.6465630783771006,1.4221510084616413,1.3572391503096093,1.5301961301109708,1.9722204627398348,1.6278798496023679,1.974787264093344,2.213958994658908,3.075192655305489],[1.4834001242321868,1.3241826016740508,1.4575973719036217,0.88406592385068,0.9935234926925859,0.9800310716245234,0.864499412168371,0.8140443863929773,0.8400303495033992,0.715090506048311,0.715812935720043,0.759556438006817,0.6893925660737178,0.6427663483611397,0.6498045055045003,0.6859727772428095,0.7547197471166625,0.7621886545949723,0.8331197953172768,0.876558147968809,0.9385960864169007,1.0229766657775499,1.3006841980941988,1.2970888700136345,1.309180996641741,0.9724170040654918,0.9271621910019625,0.7767686134638283,0.8220561270861316,0.7674602978158837,0.7337719730970551,0.7477607823980571,0.7707644462681269,0.8341331298011966,0.8721347261298513,0.8614372610424055,0.9081257877018873,0.9322095825745073,0.9802438158840497,1.1449212446868011,1.1335434220980016,0.9883124362083497,1.102506162190627,1.1816264791873035,1.4177063014853133,1.841318117186246,2.0025487914725435,1.3972678700352454,1.4485936178054115,1.928829643508441,1.6071007326122733,1.9193744294017625,1.7629917224520686,1.5728362280409425,2.0461842449220473,1.5517961968345857,1.3630463452664952,1.3422252739752643,1.422414552217031,1.570992547283714,1.2251474227609362,1.1520095422533045,1.0353225110756725,1.0438451612914061,1.0135774231762913,0.9925676080978489,0.9321965944027153,0.7897868326731,0.8003456972494147,0.8396502518850901,0.9260542058585689,1.0745212315929114,0.9131620015060076,0.8480995434469748,0.8142780512169304,0.9323099251372184,0.8830370164828776,0.901770425492921,0.9945891287056284,1.0774739182028779,1.1437403987000805,1.500353407735289,1.274906989165065,1.507991125781199,1.1960452427853516,1.0904721724503899,1.043385101753109,1.0691086747566183,0.9424272343274896,0.9564985334099964,0.8275222580920655,0.8976505618087272,0.7526656892556176,0.7092464858905402,0.6880997142842968,0.6879413242659348,0.7782565499220084,0.7135451049156187,0.693847312109691,0.7733993294584399,0.7568641685570981,0.8125167237940085,0.8173663601349683,0.8881360675587312,1.179889989031296,0.9652109858218885,1.1649315530441793,1.2563366153535531,1.026694237440425,0.8949045004255178,0.7572086668255322,0.7764071982748002,0.6933032366036537,0.7202048221634495,0.692277607717446,0.6771866052192954,0.7308054937118165,0.6840654884024084,0.8043032348708389,0.6967573725908419,0.689053877978574,0.6603077379247774,0.6501575265769454,0.6672288737417322,0.700338546632783,0.6801706361063908,0.8215687887230142,0.7657500043277082,0.8408131895780225,1.1155215348043275,1.35814705690049,1.4631382261721566,1.5745137682045216,1.4244542083794882,1.3705280531586999,1.0509735588409357,1.0666201393902663,0.8803492412976025,0.7094944071684068,0.7738743597718865,0.727235632382697,0.9809678052186671,0.7872130093151959,0.7861925083951661,1.0350981791356169,0.8224418040789534,0.780829877836349,0.784312566132249,0.7508019106270061,0.6801406850403973,0.7553799623871028,0.7445422670012795,0.879137234619743,1.2637905791863993,0.9323039949249801,0.7356849893993389,0.695731826969258,0.7448655589682681,0.7918712658978784,0.8706720398325708,0.9287155121873903,0.9023328539774055,0.9376500017319087,1.053426563708893,1.1185522829923853,1.215137479152093,1.3711874216839814,1.5286659015774617,1.5778243938381902,1.2764773183745821,1.2390268316923765,1.0216087910044884,1.1557127952336548,1.093168132892859,1.0615349180056755,1.0401722761681438,0.977735057564272,1.0436919538434284,1.104047438893482,1.1452199009589745,1.1702750898601042,1.1298778819722324,1.4015008809354905,1.5579494119142003,1.5005939261447048,1.4088212820368406,1.3379323386396307,1.4753880967294073,1.895564269080155,1.5528931069638403,1.808214914403202,1.5435140412203854,1.672651692084686,1.688431293511011,1.762252682434448,2.022672475711966,1.7902808621981554,1.6273166114426876,1.4044885816788193,1.3193235104498091,1.083191412004828,0.8724541282794817,0.8009563510621076,0.7634095367194349,0.7833120900375813,0.7976090482134078,1.051536339100984,0.9714975342597264,0.9433408403289936,1.3372002598807196,1.5110201667505514,1.440457078058379,1.5050459206360989,1.8738455113038597,1.9249726838954766,1.8557811755490967,1.5976688804082824,1.5421229360329547,1.194004578826573,1.1593882144434289,1.037356094033939,1.3629440228602654,1.0967488915516719,1.1608205505867306,1.069701042826749,1.09479920769936,1.149758693616379,1.3816731978798287,1.2472096017578695,1.2083408610353314,1.3871364513953226,1.5892923479990464,1.4628579484867619,1.5688677575185783,2.165350462967929,2.0650383029236283,1.736257689399201,2.57930202710828,1.4502596524049418,1.566520774847511,1.4359553424597624,1.1046082847899301,1.1444475435195611,1.0089970951329168,1.193554893693109,1.0881616841923394,0.9652119007335699,0.8902595687899795,0.9118346229874894,0.7838481407420217,0.8128853513522107,0.8915911541707722,0.9406622087611285,0.9107657384420121,1.0034985995116599,1.2994783690403888,1.1777933193241075,1.06877464724957,1.0180088591278362,0.8347704360615499,0.793688071747111,0.8404057562853434,0.8426275940195527,0.835945574494568,0.8732518794009929,0.8836705145732068,0.9077904443378227,0.8795161849870545,1.0985623918258653,1.1677720001319598,0.951555212164126,1.140798337931116,1.1472372655586998,1.1284023242210937,1.0072971173338106,1.1918685147046482,1.6853259673058454,2.1345081539277504,1.7483871614780973,2.096251797308512,1.6284859295670624,1.8998282646048488,2.5799749590545495,2.119103757244452,1.7281967560393066,1.0046124652614399,0.8292139721043439,0.6980157532054895,0.9989424906187593,0.7196907839353436,0.946692018868281,0.7222853767244002,0.7473202080734713,0.7638565030525689,0.7625361441916261,1.174175080264345,0.989459252363838,0.9805219895603333,1.0908413798076966,1.6368106467012529,1.3020091778271523,1.7323787616625979,2.092760594091553,3.1141968490312415],[1.4503591889539365,1.1983191901738857,1.2813552222975901,0.7230061878503966,0.8203863032907682,0.8411194270421917,0.7571149651439785,0.7572713943454318,0.7455403301219646,0.6649827928558089,0.6677579402607583,0.7300089553663187,0.6929344881211804,0.6195386464583944,0.6522043057034186,0.7153749507050211,0.7755340625289707,0.7890318583681923,0.8328894541483978,0.908777588987515,0.9536640185282579,1.0402354389846928,1.3100168917016783,1.2949403600468372,1.3149117269436448,0.972061255136211,0.9480788867747821,0.8030189177863148,0.8667825575067747,0.8451324612958033,0.7854574757497265,0.8302019344878676,0.8408303463300134,0.915509469121958,0.9655859762080133,0.9356774881738681,1.0121353072808221,1.0038290569653558,1.0388858144894308,1.209233137127657,1.1686635165772599,1.0182719195588525,1.135341449271625,1.1915102113634362,1.4126668356847927,1.8286496929894045,1.9992075475499942,1.4036479844986713,1.4388210067114007,1.917657182334425,1.6274754408690835,1.9495174133184705,1.8125665993821005,1.6153092964685216,2.115033057008533,1.6112000769552184,1.4090614326241515,1.4145607796393564,1.5106140612329664,1.6092414837707694,1.266211881937017,1.209102491586941,1.0953601081278437,1.075881472744144,1.0427740460448605,1.035064302389781,0.9534283844525174,0.8211402568625784,0.8014523411301556,0.8405399394287153,0.9306405096037755,1.070953956655821,0.921389249149961,0.8519227334107974,0.8343044967217591,0.9631435242605495,0.9365206287774345,0.969040797927432,1.0697888465220338,1.1642825819956633,1.2573845782773485,1.6010350047110178,1.4077992512937292,1.627092520410029,1.2778819712053664,1.1986574131199648,1.1251889423582797,1.1753202138155072,1.0157825212042921,1.0392288801958895,0.8874566751863122,0.945781150912938,0.8010706183555907,0.7568639927692109,0.7214612638573513,0.6900544907812866,0.751465146022951,0.7469588130152811,0.7336851296825685,0.8369295172558417,0.8481209748808821,0.9264032675032016,0.9596786482303367,1.0421132091865233,1.341708411293226,1.155146078014556,1.4062413673340355,1.4749258456418535,1.2503715025898519,1.0926986771254918,0.9202813309533632,0.9168755119881565,0.7124396118053532,0.777827501590277,0.7171552687881245,0.692182044693703,0.7481657896631286,0.6784871829098678,0.7974957117160422,0.7032750484901997,0.6781079260614568,0.6552165581263628,0.639812786226083,0.6535339428281101,0.6497668720651514,0.7147207122021073,0.7559961065795989,0.8668879178777441,0.982949113333106,1.2787005490410004,1.5278251651467902,1.684711553850963,1.7415957284211334,1.6095996271606428,1.4790856621959148,1.1272390267893408,1.1140998575474426,0.9087490281839705,0.7128898913737439,0.7801643249359268,0.6981508986744108,0.966744741424535,0.7808281183018385,0.7949398494453136,1.065476254585012,0.8740236694377229,0.8326401506723773,0.860838337754098,0.8510964338782158,0.709633486103195,0.8302095284177795,0.7524088786889943,0.9066704785470948,1.3139650961316691,0.9873740233665093,0.806009208042248,0.7645200076869558,0.8397851616444582,0.9133317046568671,1.0204010946545512,1.0446933310656057,0.9943303221275421,0.9872567897846927,1.1121341791043742,1.1591502813770937,1.211227620266795,1.3807042939579834,1.502832207398564,1.5282157183319025,1.2244942321523393,1.2383093818314816,1.046602756821985,1.2237758581949776,1.2009825561151937,1.1888695571186116,1.1932409947089664,1.1073285624113443,1.2071482361306993,1.241189996915445,1.3096410521857387,1.2693081780409474,1.294861672966663,1.5645931812365106,1.7163823676093406,1.6091015434066231,1.4919151102713961,1.3951778470724001,1.5195060018761297,1.8536888407503567,1.5659470937805788,1.7820705996854325,1.6010425793449807,1.7211205101472824,1.7587882123489198,1.9073736450755545,2.226794298504449,1.9406678359583274,1.8583097857242545,1.6934416932605627,1.5456983461730287,1.3659478193269905,1.1065593488264893,1.0121635582413422,0.9464017233569102,0.925745903571922,0.7841142780171287,0.8765110125376268,0.865724423909959,0.8644756008543986,1.149404255069934,1.3390109120446605,1.2923674005642678,1.3401635634862574,1.7236652694470187,1.840103460218814,1.7737100315456216,1.519178273481248,1.4938696013281567,1.078308014564937,1.0596760952552364,1.0508541226399049,1.3296768179068603,1.1802258508801946,1.263504990044621,1.2908121033658126,1.3591979452837966,1.437536874796525,1.6680123650571115,1.533765037688703,1.508939863970967,1.6950795366817497,1.9021398987560492,1.7875272467804844,1.9133876294538354,2.462300687400673,2.413124369956163,2.130235669135015,2.811934725687441,1.7941265860793678,1.8404116699476802,1.7252783877791942,1.3897418648342375,1.3693408626392585,1.2359313516296189,1.3739359806343088,1.3082816340427634,1.1030483678275076,1.0512730643263821,1.0743917526679683,0.896932965236171,0.846958254667016,0.8458772449106609,0.8661415021228002,0.8807938159988024,0.920228416263783,1.1913651986241534,1.061381649901285,0.989585568300768,0.93730652625619,0.8630674767753465,0.9187334716711204,1.0174020862825282,0.888931365947501,0.8460218478766205,1.0713149660170695,1.0098887033947828,0.9162151119206047,1.0499441569083299,1.3480944401265385,1.2573435391178913,0.968310636893163,1.4739626121899134,1.4161823429147358,1.2248752850775388,1.0472038114108144,1.0817164806847206,1.6836689292777958,2.2533548298685644,1.8118231865570504,2.155012174332071,1.4863515580098416,1.698662624762783,2.461685843687701,1.9763273773710015,1.8086565444205294,0.6705553838894405,0.8496682348177267,0.7312719041156838,1.2440280799396832,0.8351192279719275,0.8213734891992646,0.8595974043057029,0.8004236222417782,0.8165486555710907,0.7492957758607508,1.0169720107935516,0.9082958454827703,0.9116617729651101,0.938597361969348,1.5268346243264117,1.3138882478177405,1.7638788673478745,2.4057264389104445,3.5018531681473974],[1.450482629837891,1.20164169118245,1.335795283859886,0.8235347252918883,0.9552428392593403,0.9556933927736594,0.8962681983584335,0.9058925230176347,0.8951059909913127,0.8355615351337949,0.8401103443920745,0.8966941379377202,0.8481019119854087,0.7907283724829838,0.8089794729178159,0.8636306718797371,0.8970847863316468,0.8962733414293838,0.8737994757756712,0.9516710340653756,0.973775651613386,1.0403421848091536,1.270733228076115,1.2749658226266392,1.313625447602628,1.006118055144598,0.9874597366414071,0.9035723224325204,0.9517836797620953,0.9637019205841874,0.9155943080343769,0.9675192036982309,0.9711897039940561,1.0040229665769584,1.0392698374441387,0.997357785868334,1.0629005817135568,1.0505443692466314,1.063859894392089,1.1986199752056612,1.1733453496950188,1.0316532787208808,1.1226793500596874,1.1842851450281837,1.400362770123538,1.832933582543991,2.01149486969593,1.3820241194920195,1.4478085056449792,1.8944922935576527,1.6031463352475763,1.930646486139506,1.7773693414719662,1.5898539959815354,2.059979868606108,1.5477459188393021,1.3567398511651685,1.3849149172836424,1.453804385733216,1.5469711280588874,1.2422877162715127,1.1970510081299377,1.0998177182437898,1.079436985419928,1.0370324135856008,1.0472027854565114,1.0035048185957371,0.890081667480772,0.8751855414483373,0.9682717085458489,1.028121672081363,1.1786031723351553,1.0184652405318397,0.9613481651319888,0.926208562476397,1.063429040687093,0.9732234346823686,1.011563313618073,1.0947386718489904,1.1638402523389704,1.2520812620335247,1.575861555621125,1.369944857685578,1.5766234473104912,1.2872953215390837,1.207410015736726,1.138687981368374,1.1867132068109032,1.0592847246188706,1.1080097166758813,0.9703815062731779,1.0268932827302655,0.9552877207121875,0.8891957030744069,0.8707272139149922,0.8641951859780508,0.9020412253145934,0.8914893937793237,0.9043757112819202,0.9843771343510471,0.9849852238706625,1.0222283122202347,1.041814382453956,1.1062937004780753,1.3875598102732059,1.2176225827342564,1.4652954148807478,1.5522074533300265,1.4026978807981756,1.2489831727583058,1.0963530278545,1.0625975082002277,0.8778156285716949,0.9555246929161214,0.8712856511929157,0.8474120524040764,0.8746289847640791,0.792033364094294,0.8817710022155468,0.8212698132648788,0.8077697401395935,0.8067091198046767,0.7986877180302677,0.8217969051141872,0.8212161499418781,0.925989084099934,0.9049135431322661,1.0858202570691557,1.1812234944301567,1.3657173421790418,1.6126163224035965,1.7085095481104373,1.7187044416908963,1.6078811511620215,1.5121197506216606,1.25741155815495,1.2959494413116852,1.0727379625313311,0.8374384720295178,0.8722077551483846,0.7651441763354316,0.9593255131069607,0.8349695202256012,0.8669507709761548,1.101168339784014,0.9619443317101087,0.9418143682482398,1.0008341086465848,1.0022289229547099,0.8691665062062792,0.9742319247571446,0.9123162322169548,1.051394463330452,1.401454185980962,1.1720766018770954,0.953358944623148,0.9256181538230519,0.9566424997816936,1.0383083252693155,1.1029268764945381,1.1424579995928272,1.0758530540786881,1.06330690074279,1.1450357798717157,1.1559825675403295,1.2253308677215555,1.3672749290446953,1.4770777766361878,1.540475754313006,1.2827227734660216,1.2862453369423028,1.1167407873890223,1.2586644965786868,1.2242988122517349,1.2202986719812223,1.239159653651696,1.1614341338610963,1.241606148600847,1.2507069476739878,1.308687265117848,1.265387840184213,1.3273903884831206,1.5418801493140404,1.6633360565915742,1.5694855164928074,1.4420667737804571,1.367170539361102,1.4726157368179444,1.8780624310166634,1.5373496925739096,1.780050585451985,1.5422834649509858,1.6693599658877711,1.7117732195392796,1.833289476659125,2.1407451842531833,1.9265046012650306,1.8456722195221573,1.7595293854672043,1.6818361476906574,1.439226552153704,1.195742752245667,1.1866845705384947,1.107183580079327,0.9899142602610337,0.851937375677745,0.8175413471553548,0.7793186238165948,0.8134222510743303,1.0601467439036858,1.1683043227176437,1.1549168088993242,1.2991320828184054,1.6545804056308908,1.7117564174383735,1.547209077595932,1.3582288768911208,1.1131488474083568,0.8167355349937877,0.8569099676262332,0.9543399222930125,1.2348133842988473,1.12590564006989,1.2863469764263673,1.2920388096163804,1.333203056917825,1.405358476216725,1.611837949261813,1.52531512184582,1.4976465149512461,1.651650859774025,1.8702384559653098,1.807898061644811,1.9102482828581697,2.3707042354682137,2.41764747245248,2.211723170655306,2.7898343076515277,1.884631775807548,1.837681852810826,1.685159539155881,1.3509725180953291,1.3193526740743438,1.199561138374937,1.3446677884309295,1.2914004075001626,1.0588076332179535,1.034996567047263,1.1041433161966872,0.9091864036916173,0.8427042425859169,0.8784540392554676,0.8715785304001928,0.8335524808005892,0.9061350213313515,1.2142906237492512,0.9916213424290975,0.912513516014474,0.8425629858820127,0.8017565246375828,0.885629699518568,0.9918632760752147,0.8196599231013773,0.7913977640871969,1.0776985996020643,1.0171856811458229,0.8837620110671919,1.1340438434756561,1.4284523663912658,1.3585608147686452,1.0751572996181797,1.6500483129943841,1.611397114380887,1.4331432222885063,1.300926673267696,0.8880578767764032,1.5643354804294354,1.5893588619162429,1.3053116854643325,1.647141112967551,1.0366748966277415,1.468652345796537,2.1856430038145027,1.2676867366090947,0.5737198490959287,1.0331999408765908,1.239887085502338,1.0676148818841436,1.4858799085639776,1.1072796110330905,0.922948833900767,1.0164376015696006,0.9154157513572774,0.9390571253839559,0.9159472481198166,1.041745175644865,0.9746237502095001,1.058070205783219,0.998700129230537,1.4664766952640984,1.3371307454251635,1.7841196753739315,2.3798085727440492,3.5657683285205293],[1.1468621625343505,0.9383391012308488,1.2036644594628327,0.5570163276871748,0.7239686890660527,0.7106232842666345,0.6294133744229019,0.6321091089423744,0.6285577750047534,0.5412560718746879,0.5442413766597265,0.5931245062142274,0.5429821039863912,0.5160739502831188,0.5252721916477194,0.5424656344543314,0.5746224307323133,0.5578275725455527,0.6134968382452556,0.6272485673482845,0.6917653866729323,0.7658593760636696,1.0140414547662153,1.0593533352078188,1.0620333155680175,0.7545349113130791,0.6640366281351026,0.574114990862479,0.6022425858459186,0.5962106528565047,0.5839279999309892,0.6080589527818596,0.6292582612343185,0.6406848728863678,0.6639731841947337,0.6431157322312487,0.7125766318503296,0.6786425119103852,0.7095467297884034,0.8383225221821488,0.8288768110101835,0.6982013353390153,0.7913558706536794,0.906461036049649,1.218984888063541,1.6469835410424145,1.8473534897435133,1.1465680288953224,1.1824234441706936,1.7138462967935455,1.3595322953968256,1.7301850547223536,1.501490692568695,1.3216865951178907,1.8199785906317822,1.2405110480936075,1.040995392703526,1.0451102720433807,1.1020299285648185,1.3052120577144715,0.9058073996784011,0.8219564398066073,0.7368425115799135,0.7821304056939554,0.718451057209396,0.7033815341914802,0.7534635352472453,0.5618095848920976,0.6274837488986474,0.7830994636950669,0.8838799177861896,1.0959479178596376,0.8636461436772308,0.751486932192116,0.6551128239138854,0.8244674091941411,0.6209252026246964,0.6502820998424688,0.7216797370286018,0.7808758968192812,0.8767065402916184,1.2344204504366332,1.0185144285379766,1.2721709792728912,0.9573873906422804,0.8503993948568475,0.7635761206370982,0.8287402009980094,0.6775431441787082,0.7313084612786909,0.6165235952467244,0.7661931798522285,0.6536799865817015,0.5614076490712541,0.5603539276059144,0.6106956635008426,0.6838000131085307,0.577342361321443,0.5852634720173753,0.6916204579035916,0.6623478213593655,0.752617505380784,0.7229422544719866,0.8193130576832549,1.1152998988111604,0.9438817601473912,1.2212277307069714,1.3365045399224407,1.2131980457290596,1.0376795529814764,0.8716816148085055,0.7666160013051604,0.5970471345473689,0.622779031395715,0.5510668494297812,0.5494382788763204,0.5963685256102794,0.5691427485314419,0.6811210360894859,0.5531955808926345,0.5843767756599342,0.5481310256086753,0.5531540739275215,0.5394753507526581,0.549910728001379,0.6060609062310774,0.6571803250756892,0.7953994200469214,0.9255741479837869,1.100997049957784,1.3776311823290543,1.4601972368202705,1.428913915673554,1.3031289596226263,1.2121313825764108,0.9593676788190941,1.0562300058500689,0.8085584074753228,0.5884857990381767,0.5959140144631723,0.5968861414488605,0.8196704764712779,0.5840517969302603,0.5707307435548277,0.7822194411293177,0.6111143079502681,0.6037775783464002,0.6506336426012149,0.6570910219773918,0.5769600892681481,0.6835101117507221,0.6312999918109476,0.8001704210440882,1.238810703806072,1.0001164872699542,0.6756308354154005,0.6247404974852644,0.6581364935166882,0.6939620506677199,0.7954447249708941,0.798316011685441,0.7194484361412481,0.7184953267435421,0.79070611546759,0.8178307332812768,0.9638000620257677,1.0814560441498553,1.2492375892491316,1.333455899870998,1.0485749539518148,1.0201675015212623,0.8200437587379691,0.9209968782367091,0.8758229628943089,0.8570184705534544,0.8881668099180268,0.8173640172060688,0.8821966849678172,0.8884352765349522,0.9491453828561314,0.9548802701685043,0.9957247057897446,1.2070692505033267,1.331680526821438,1.2408019823168432,1.1048664177999272,1.0486786200216167,1.2170422331250215,1.734965333183473,1.3233503477539985,1.6384260317365877,1.258738338058377,1.4469513516125032,1.48240532998954,1.6054247650857332,1.9617573808776139,1.7334111969719936,1.6846914165940488,1.6449876633269822,1.58517789293068,1.4132176637613707,1.155098106696495,1.1218808106473275,1.1380393850099728,1.0564595606560998,0.8557016985137812,0.831893079082282,0.8693099691631614,0.8348642125908696,0.9301877874238914,0.9948197946426718,1.018951126260163,1.144346899977708,1.4233337911685906,1.457925839380632,1.2675113232926287,1.2062976232602334,0.9915811232112679,0.881197588151645,0.9152845789151567,1.1313298592933771,1.3443777328243371,1.302364929606577,1.4487598082463653,1.4312927099658168,1.4372129202915216,1.444411167161336,1.6592044124518,1.609850955522731,1.5507500687542768,1.6637247323138358,1.916371274097911,1.8511448525346037,1.892497033810491,2.375431854951675,2.4365381260734043,2.1839513468634886,2.707159202348528,1.8113628815665328,1.7362105953576012,1.631827433323347,1.3459818054222612,1.3091402653177502,1.1882905537374717,1.32283754955294,1.259047918387312,1.0967691584757033,1.0259096869114046,1.0609730984135213,0.9295378296493961,0.8494536673238791,0.8532367985467028,0.8282930629534552,0.8460110348996217,0.8749301226355166,1.1207850987796617,0.9329839253536593,0.9149908267356825,0.8896810033348024,0.907761041951222,0.9751028364663259,1.1105466423094503,0.9772141517884089,0.9354032487136115,1.2065179093147198,1.2020514649406202,1.0882392427423802,1.2769380870344984,1.5689002712373317,1.551759271003125,1.2934251609444587,1.7285838590962004,1.7496054785614055,1.6125613052007013,1.5051846821732502,1.1476802749548773,1.747629666402938,1.3942367492164431,1.0727637769672482,1.1121466347926128,0.8533398110539152,1.1301153391119834,1.5174597950628192,0.8358514258806297,0.8522892364339476,1.3237462776197912,1.38517535611847,1.0049834247958616,1.3659618101073425,0.9017867885569731,0.7570545188144584,0.8977461864269998,0.8291541598047462,0.83525517780702,0.7714015095963301,0.8608397418746423,0.7754988137617851,0.9237930067343021,0.7960943567669295,1.2461914248021588,1.163132729525299,1.6158628095319145,2.1110737563490436,3.448491023529618],[0.9470266461726422,0.7703504924146697,1.0194783419995006,0.3718322076272223,0.5631717919521613,0.5782700972893794,0.4814035729823607,0.4721470366823068,0.5196704491374192,0.42125226719528064,0.4409365234937481,0.4840567941669745,0.4231255123405679,0.42945604510801955,0.4368873899876001,0.44740683304599815,0.4972886381893168,0.4891441664036009,0.5561385213216078,0.5859380610424664,0.6619282353060196,0.7214805214145464,0.9600667941215795,1.0307234198246773,1.0553870211076224,0.7418028825054904,0.6776600449018008,0.5482915239042266,0.5546227140967183,0.5244058224240661,0.504148881875712,0.5092955208200225,0.5229769779254941,0.5458283891475709,0.5838475845861356,0.5769680279763844,0.6564597621828395,0.6502084733425221,0.7085806385250143,0.8281476508490865,0.8420063086044879,0.6827445619169502,0.7830844956271774,0.8893098552828913,1.1427451778777507,1.598699862367551,1.8034680729434127,1.0950498430905582,1.2132818048076894,1.7637792584041767,1.346149923078836,1.7269734589030066,1.4740089812053399,1.3395349657067557,1.7764600546527218,1.206686336620482,1.0566579206741116,1.0166211589368122,1.077060843746972,1.2878328660224394,0.9026139879996053,0.8211655246750267,0.710181246483893,0.7521014758954907,0.6811101865716331,0.679202592136604,0.7314007172210395,0.5100994058509397,0.5806746772733724,0.7339169725368706,0.8388378978572557,1.0664239251953247,0.8390974204207958,0.702196479137057,0.6049939348905089,0.813869360576713,0.5744195701392641,0.5858721321242909,0.6482988841747311,0.7486677360386279,0.8355032024395215,1.251290282992772,0.9731728887415959,1.2330756100743057,0.9771202735878053,0.8463517185567605,0.7522360416537047,0.7918961567143191,0.6205789027120108,0.6500421377333603,0.5506143266081023,0.7000920345146122,0.5864395630273123,0.46976057088550993,0.46466937262645874,0.5389956924075424,0.615891972801461,0.47969428015989257,0.46999158105313676,0.5767929944233828,0.5392259215766262,0.6587718319025176,0.6460882647404346,0.7168096283437285,1.0794496715765973,0.9190624319089173,1.1700358356783591,1.3484732585157773,1.241839150715972,0.9781347143800143,0.8302868898189675,0.7167766343041752,0.46933441922333485,0.5418664537596107,0.4576351922830269,0.48855920428721394,0.5592127096791412,0.510122132368071,0.6359019073912823,0.5068311331839422,0.52831796880022,0.5038577125998389,0.5110336180187953,0.4559998426369303,0.4285000052336946,0.5277483582120875,0.5599530963934111,0.7623079949094363,0.9342749090371181,1.0893636289923512,1.411686013730648,1.4394070579567884,1.4270006415283694,1.280099406243952,1.2568061031214683,1.0060797155307108,1.1951781532227561,0.9027409340344623,0.5592968358538718,0.5614970844929987,0.5110584646124892,0.7116201528905035,0.5177316422395711,0.5455048826013312,0.814162431674448,0.5807922162515373,0.5715017981550785,0.5801001933213961,0.5639730639715735,0.4480658387697987,0.5613582210388572,0.4861228059773277,0.6707330733729039,1.2228357661907236,0.9646948725749764,0.534205709417987,0.490711231629195,0.5242988625886558,0.6012605565160052,0.7187639416966441,0.7729717941037163,0.6826374228295912,0.7103989128026416,0.7717622847693189,0.802783403664032,0.9322045012098514,1.1493168991000664,1.293571323072803,1.417455445567573,1.1879897623625049,1.129950334225666,0.8753959797552263,0.9515678805982826,0.8631502148436592,0.8156969013801915,0.8289785604707827,0.7457992318541669,0.8214286062825058,0.8434801448655067,0.8858136914403493,0.8603983829795423,0.9491798248290867,1.1673691339797272,1.3139391691295619,1.246437395208077,1.1189871970571852,1.073751619490016,1.1728709942961193,1.8475833609390375,1.3166482217325755,1.6746807585768606,1.2820890421961257,1.4348000586631453,1.4709589349404313,1.5521483759011618,1.8338994732561746,1.7213817904904176,1.6341144089741622,1.597026091455844,1.623753708808648,1.3325597961665856,1.0743167830602758,1.0953389904700057,1.0686729518147695,0.9159217191343852,0.699927122082547,0.688515173810945,0.7026682075105444,0.6372014662781584,0.7615532385043707,0.8392725694626619,0.8779175809836028,1.0175242411846979,1.3038179239134235,1.3310359700945649,1.1093599103270295,1.0843682590115702,0.8688613502245432,0.7722787609481525,0.7824020262348036,0.9712738801601484,1.285906279024862,1.1389686863659831,1.340275120343921,1.209700722553435,1.2084174010748585,1.2682547007435994,1.453810430168702,1.3835221514731704,1.3566054017669227,1.5014281117947654,1.6870082750057505,1.6600556194032614,1.73537584109211,2.1436837589538427,2.2128144255690416,2.0360628562119665,2.625135124255086,1.7453684064790875,1.653739968406766,1.493737828478615,1.2004406558021345,1.1647647677092938,1.0637983523997878,1.1841511593853786,1.1018616784427653,0.9299805062411585,0.8796393487725915,0.9218814172590127,0.7728988155540236,0.6871376450428913,0.7323339881546249,0.6660331239841742,0.6660815483407182,0.7406579648721918,0.9894980743582864,0.7812796525055336,0.7379832632991417,0.6968046142779895,0.7105779355933886,0.7780959841459647,0.9036000718514068,0.797845750755619,0.7613741871474469,1.0284226341919147,1.0214179075313359,0.9407181135598652,1.1489118552189836,1.361614068405069,1.4122654743293643,1.2119458099856715,1.5640239193199967,1.5376260177534893,1.4677442929509579,1.4113861285477782,1.181073777818751,1.6343915309363883,1.457750084663381,0.9983074168110834,0.911099522889286,0.7223944572223757,0.943322163734498,1.2573886147037967,0.7239416095251984,1.1093737182335108,1.7465612010711113,1.4926431740553388,1.11690342560053,1.411668457388371,0.9206921668516246,0.6893907934267889,0.784200917417284,0.6837818163945131,0.8307296807109958,0.6682832295716444,0.7223851329544374,0.6035839468413362,0.7936633789879307,0.652287587123822,1.1588611925728323,0.9876232364462846,1.4986633391390933,1.6963021433970171,2.9844165666752462],[0.6632344673596187,0.5428108732936647,1.002479581014836,0.4247072143744437,0.6651255798810585,0.49027548818116834,0.38141859364033176,0.3954709814246424,0.42807042643490245,0.3336446227885351,0.36106431015829493,0.448059092226954,0.34775411917688337,0.3590396604916076,0.38472302144877224,0.3782937991948259,0.4245523123660923,0.37861267142970845,0.47267019337191746,0.4464341555220133,0.5397310623741006,0.6369570740921882,0.7869880256330923,0.8770619259560034,0.8696439882898311,0.6066393775585758,0.5139684122432601,0.3795813622405562,0.39786882993576433,0.38932099526867076,0.40835268214632886,0.408105180791879,0.4625146429006769,0.42669677014896,0.42770013682262187,0.4264030182134096,0.4942974310950095,0.4718743156093421,0.5227751448181819,0.6465965411240101,0.6924564855161819,0.5524106487125932,0.6308966887361528,0.7900761364021861,1.088530474784775,1.5261178527716521,1.7418437096457338,0.975297061604095,1.1002828668290408,1.655419670300339,1.176319477365617,1.5453100102184263,1.253389921246523,1.1383834911272603,1.564340161672105,0.9724743939615712,0.8548517544222083,0.8368611229884506,0.8584622216333129,1.147325557039777,0.7225851112924697,0.6730568200090634,0.5516814398721586,0.6479442169811631,0.5679738318668812,0.5425009005922619,0.672995766277002,0.4134795542843153,0.5709994399415855,0.7403196079024302,0.8485374115002272,1.112219215896506,0.8797094118588026,0.7616065069495984,0.5668330175497093,0.8099236211664385,0.4364421833397847,0.43546617906887386,0.47664770647148363,0.559753141127963,0.6325112159586094,1.0259920708146053,0.7924558594890041,1.028502924030272,0.8208824412582971,0.6708391969482024,0.5626745655222086,0.6107721978382086,0.4371185713634512,0.5020971845579555,0.436913789688211,0.7072939709862736,0.5662265714594874,0.4268353987043236,0.4304211787686885,0.562181732064065,0.6224498390531622,0.45013235482164154,0.43101597021305643,0.564525856119374,0.46820915302137417,0.6060529907532446,0.5403630961905798,0.6324105535232024,0.958493441243447,0.8619463806879061,1.1280036498910688,1.310473892321617,1.2576965916193752,1.0035407793782172,0.8732201103412975,0.6819816589956833,0.4221669776310864,0.45862086374508226,0.3605697253212148,0.37051535835114036,0.40569445898480866,0.39788318899039876,0.5682174812391793,0.4148627394151973,0.48097125627708437,0.42298299047384913,0.42414185520177106,0.3450872125044459,0.3487925748753005,0.45785057161547615,0.5627126310376294,0.7266480058108568,0.9116313604704998,0.9983509356495658,1.3296918717218877,1.3630122529699145,1.2933622677670003,1.1467740853543262,1.1115252040951622,0.8933328544730423,1.0958394211506794,0.7970497722046299,0.449083551516135,0.43362415532088106,0.4618908850376294,0.6420922180255012,0.4254500868235252,0.4054857210747929,0.6448136574742094,0.4283874127947917,0.43182472663123567,0.4577851418271452,0.4672010518470248,0.38721055382577885,0.5214318299778419,0.44560863399764117,0.6814916661376353,1.2963900941275786,1.018634554831537,0.49993621471959354,0.427658752196004,0.4666173629002057,0.5068350508882691,0.6279982066067683,0.6500088266936246,0.5313963798953135,0.5509420735537555,0.6034082047937213,0.6562251961152744,0.8227131603447204,0.966100162313101,1.122659414265713,1.2617803639455878,1.0318844813248935,0.9771389103510307,0.7318218135471719,0.7946140020727129,0.7141471309404817,0.6624145125725526,0.6829611661242323,0.5960153110960179,0.673951261788353,0.6748363277948907,0.7349661891456963,0.7883349884850714,0.8139767585981861,1.0126149709713599,1.1384495182266838,1.0589962685661507,0.9484402727433751,0.9345068082092823,1.1042797429189455,1.7898910152923793,1.2062496949463806,1.5493605030807047,1.0991517869779095,1.282419153995758,1.3282528287140714,1.415612263805563,1.7314320400895573,1.629412130751405,1.5792321391178303,1.6000691297698706,1.6363133630067677,1.396625052692564,1.1474408023753881,1.1925269662015219,1.2217817149943713,1.0632909583276324,0.8579328130856176,0.9197070649557231,0.9046918663068887,0.76229700808904,0.7462325378539943,0.7956383298215717,0.8429433655450708,0.9418076112961437,1.115688661772104,1.181548457034663,0.9883147398462135,1.0738850475337631,0.9840426730754569,0.9580749879655753,0.9305170562552995,1.154576133704561,1.3923600075652456,1.2977812702784968,1.5302524237939925,1.3573663532606302,1.3191181913747547,1.335863873258388,1.4900531758167463,1.4795342645703191,1.4408882629299298,1.5254482813626093,1.7396471789713435,1.7519110189704754,1.7730617691111636,2.1351348817663913,2.273558570287332,2.131090613572564,2.6172658207535915,1.8035670762851008,1.6281451765791595,1.4821713617721481,1.232727718774093,1.1553772641577607,1.0879806328066444,1.1654867361670433,1.1017169194837686,0.9752527242100847,0.9199042769297321,0.9621593306009192,0.8738895263094875,0.7869318340524591,0.8220848338816564,0.7510221765888786,0.7560112453136535,0.8191738679144921,1.0244179808453684,0.82186184513631,0.820764207870767,0.8004175481416613,0.853922242247713,0.9050853747103619,1.0284889063561942,0.9652072092313384,0.933107019313859,1.1673699899054695,1.2096398244982374,1.154661788980911,1.3299018058370555,1.5351052770085805,1.647443577417469,1.4679127806271821,1.752888630884996,1.7693500151940793,1.7674640242197293,1.728697864447117,1.5425124461547555,1.9079508963513467,1.6623033779386638,1.1626274534967946,0.9595299921107597,0.8978454365582795,0.7551329375986948,0.8252981803766304,1.1795977227678698,1.6749820826650081,2.072210961688583,1.7152009212787451,1.3146959695499347,1.458959775849323,0.9975205614671371,0.8150270366960414,0.8783084959281064,0.8047337289283477,1.010774935110419,0.8008145394626095,0.7218356174867855,0.6802560710687248,0.8761512494032472,0.6479677480573749,1.0652285549904033,1.098905066198983,1.436547065807787,1.6294904296259225,3.0136416794657155],[0.7425677786714115,0.6309656125611249,0.8359228937841494,0.24980857988664767,0.5584958566909661,0.4633870614369523,0.3957833594284142,0.3940650879408807,0.5051215370507955,0.3685244978379051,0.4166379309645033,0.4859562991224045,0.3391251793758178,0.3973515519853108,0.41354535079476606,0.37205048322111656,0.41192824812305623,0.3826812222574622,0.44657055770862886,0.46086293365243947,0.5167953792768029,0.581337599344799,0.7823236884512533,0.8789144667324111,0.9031726362105089,0.6110382304810371,0.5504990464310517,0.4080165200742316,0.3970424872804484,0.3705642272515374,0.40211293301604645,0.38084352338153066,0.4550777355272227,0.4092683687994915,0.41038930616264235,0.4170917563005381,0.46479120868606855,0.4711436391516154,0.5354472878564827,0.6465006803957977,0.706639465765996,0.5472254478123685,0.6331625276616097,0.7738936435532697,1.0150879582126422,1.4976436382008715,1.6958341441616576,0.9436358835692065,1.1667165848809058,1.710989683297499,1.1817640917658383,1.5404903009063242,1.2489607756505385,1.1465125496652702,1.5420141530379428,0.9558593345307935,0.8612676368212769,0.8275467195169117,0.877821916326834,1.0877670034633373,0.7219211122667283,0.6603347326922278,0.5400008569877137,0.6250341969155453,0.5445220647613328,0.5268344550964739,0.6274693380262581,0.4203286815039266,0.5355725112985243,0.7218205208571407,0.8232309390061726,1.0610198318758146,0.8742500492218841,0.7222957462696825,0.5640147252386121,0.7986301394800149,0.43097882828767725,0.42215667226067183,0.45499634294092023,0.5504765257382186,0.6196214612804016,1.0224452802094002,0.7496111816783355,0.9751770572877704,0.8343188842068148,0.661220213671085,0.5614555335684757,0.5899293016655323,0.42674046475403465,0.48673262770192327,0.4312051387318471,0.6882992811973285,0.5757035275090682,0.44004305026497176,0.4476904572526685,0.5821233365019448,0.6433242904281256,0.4586134253783986,0.4326209528855012,0.5733918475219105,0.42640478165332063,0.5571567847905307,0.45302548069292115,0.5242166320357936,0.8556821796241962,0.7684818903230903,0.9730271204909002,1.1850424071073544,1.1256207707215067,0.8659159560566383,0.7272990024308175,0.5868808995096952,0.348435580915002,0.4224692605711268,0.3313749978790185,0.3773647947967811,0.45597496270054,0.4035394411203367,0.5511305096100937,0.40202104143328543,0.4567704036312318,0.4328160230369396,0.42302808672877557,0.33896713390127853,0.3347230265495258,0.4564988935433631,0.4962543986507129,0.6666502231192529,0.8308371110165965,0.8968822668800552,1.2129044553356343,1.2154463681276348,1.1866807655420601,1.0285357316983368,1.0603401424401209,0.8754627964622372,1.084478452094622,0.850712763803833,0.49367564648762097,0.4786243058248256,0.4695328397326295,0.6062061155544839,0.42904556929549703,0.44894908851703363,0.6850338360361402,0.43579583699003505,0.4312373291344761,0.4233298000892591,0.4015474958365647,0.35122598368014385,0.440968453215398,0.4524697315572731,0.6823566830829136,1.2853568673391074,1.0312583909266482,0.47999917810388937,0.3877949192696764,0.3921086381052942,0.41788809095767177,0.5288198747798596,0.6034391097778254,0.5173970036386238,0.5690356538312649,0.6152735213302095,0.6661322975317576,0.8187476790724728,0.9962146037492908,1.1551202813757144,1.2909507456871054,1.1115928082595365,1.0145500744843619,0.7718669475768949,0.7991032847983672,0.68031292392622,0.6221940464091236,0.6087439633991683,0.5403643777199273,0.6190006132958726,0.6214179175106669,0.6653524366595683,0.7231462294172465,0.732323705557687,0.9252239255567918,1.056491373020765,1.0064462306497175,0.9344175546592776,0.9389930203129512,1.0520306052948512,1.858302619864096,1.1976191808254721,1.567486944987539,1.1105205506178915,1.2218233018772489,1.250830790715306,1.2920238072032346,1.5384306355488335,1.4821530951546824,1.403545407921909,1.3977088175201497,1.4909861342231432,1.1644921884441208,0.9314966293838727,1.0052554833217493,0.9859651707849341,0.8037571150320291,0.6319035506342282,0.7205583888693821,0.6708942717824078,0.5710245198429849,0.6593705427810376,0.708305794536155,0.7666729388281315,0.9298858499796717,1.0978595029322593,1.1156654071611687,0.8873921623512846,0.9823909191958962,0.8113209185288969,0.7603801986779607,0.7403680514409505,0.9044519912259552,1.3888693300941313,1.0504967998534092,1.3051261089543953,1.0211757473631988,0.9812014775143773,1.0440182189884597,1.2001804158425264,1.1532194107607465,1.1363805283016484,1.2809936691639403,1.4487182375816292,1.4628637107779467,1.5141897946518545,1.8483762866677003,1.9676473704464499,1.8425768996413314,2.394259939428965,1.5865711636499547,1.4259699790586606,1.2494224801439318,0.9997347647329522,0.9613197194262554,0.8856236491371394,0.9604269865778136,0.8853353454624633,0.7691649192144387,0.7492143379662728,0.7608720112928673,0.6570647887844232,0.6412856965452403,0.7664164364442928,0.6413689021097478,0.6175089137083697,0.7837294606192028,1.0167885683801883,0.7477396292187388,0.7033644100741683,0.6345755430538496,0.624959733716444,0.6520290626435352,0.7531786057595425,0.7009123240461193,0.6795010042763441,0.8789799870559489,0.9081617360711965,0.8820631797159416,1.0440435290398982,1.195627008883611,1.3350362845494772,1.1831354374539822,1.423301594969109,1.4145730777749885,1.421606213274897,1.4012296697385487,1.268386011294566,1.6217661213286714,1.5262295859894681,0.9989213883312299,0.8232486159083433,0.7268461971923194,0.6937802549848336,0.8232465460774346,0.9998979576623738,1.4117339563051443,1.892164488599125,1.5014848936323189,1.2073410535553997,1.296968128898278,0.896359851331053,0.7001498377922303,0.6773176177961461,0.5985696218789873,0.9659910580418082,0.6235617077328244,0.6727283316718362,0.5476129146543215,0.8056264583755178,0.606780227575605,1.0763037762359706,0.9490806745279411,1.5682369217864058,1.5469840522141576,2.6221946125679843],[0.8312254332494795,0.7457960361108004,0.9313516316078656,0.42867271243771565,0.5155364882191158,0.6035766179901387,0.5230967318343666,0.4820716084415709,0.6115163253346212,0.4492171725616091,0.4873532247844077,0.5198925817729925,0.3752089327912176,0.4219262398117391,0.4352247159890633,0.3829867552321562,0.42030245328067767,0.39410809639096067,0.4865599191287198,0.5354847523595384,0.6047090904954264,0.6683874201500128,0.9171322543832192,1.0203736848830607,1.043890453812209,0.7204518272716921,0.661699216436751,0.4670144349821896,0.42831703593975096,0.37943969165245295,0.41198395834221374,0.3628795884262775,0.44020415963114407,0.41669714245459255,0.44439700212783495,0.47849623624254745,0.5186961555931265,0.5491337957439165,0.6517494412776854,0.7907441867215718,0.8257201178730363,0.644475398730926,0.7772962985575559,0.9149926181101042,1.1176284392341744,1.5554891173993346,1.8104267730829204,1.1192942398090198,1.246230441077345,1.83038667725191,1.440525983483108,1.8258048143320398,1.500493212819431,1.3805903200360357,1.756586509960194,1.1815461441734108,1.06067232546339,1.0063466958992975,1.0427896639685943,1.2670562997165398,0.8556669792807151,0.7449571096204595,0.624463192413461,0.677899170104533,0.6265896946566326,0.6053325707351098,0.6786049130264168,0.4456279543147539,0.5307818881980051,0.7237915319571575,0.8069000575383365,1.0520910569624937,0.815003036356161,0.7275558771009623,0.547267433636559,0.7823963891502265,0.4799004364510853,0.4721193285861102,0.5365460707960925,0.6577006684395359,0.7042885508558736,1.139798515098921,0.8491516756431252,1.1657045693432897,0.9944306184644801,0.7563760659482374,0.6654722520120725,0.6801416197678657,0.5121413570708392,0.5186544575997049,0.4629683434105402,0.6785357680012141,0.5544942126602282,0.40869824449561626,0.4230209136226912,0.5708869694447168,0.6970594576348987,0.4717792161747104,0.4491577765262909,0.5296932168362173,0.3998869853357609,0.5152690780211472,0.4708729832377186,0.5269718177101941,0.9069286209207738,0.7610787194890712,0.9695944289460647,1.2077524555773016,1.0693084978162597,0.7849416215515804,0.6042392847173741,0.5250787834211168,0.3404429438445789,0.3734995479861695,0.3409447551574571,0.38199722691971555,0.43718240650141926,0.4508431624980233,0.5908770060010026,0.4008964252178864,0.47224028113491795,0.4397114160932983,0.43403347043869833,0.3624397735397269,0.39459993341775695,0.3426050037382801,0.4935277916778386,0.6110666639804445,0.8169679776100741,0.9852811725351416,1.282472624410996,1.2702688504452289,1.3120120932940713,1.1471144362406804,1.2027462970352152,1.0013734884582774,1.211434230148428,1.031105202886182,0.6788545116042277,0.6046749717721183,0.523603874468137,0.6901672977382758,0.49907013176919296,0.5277090140962623,0.8069083868446296,0.4990210579873342,0.4868955163738673,0.4458895572814271,0.3994314428293369,0.3751654300992841,0.42719504344734116,0.5002316543841698,0.6677224452285486,1.2516968264826678,1.0042008703989886,0.4404034393333659,0.3757477711923194,0.3713451522735175,0.4076546012761233,0.5496582638071399,0.6701837495985402,0.5810821597179546,0.6737319443683526,0.7385881801238151,0.7808436459345209,0.9473395390312344,1.2073656776704678,1.3783877694461268,1.4955386730282691,1.3449555095104297,1.2291996948458437,0.9619890687628,0.9471360163109919,0.795229242706495,0.708660615599117,0.6819658152037752,0.5953153968159617,0.6518740714479855,0.7161680233461232,0.7555991993769144,0.7517855568614624,0.8233907694395762,1.0548129713371983,1.2068279543911467,1.17297158805905,1.0701413869326206,1.0583632142136579,1.1605338461388512,1.9351618522026741,1.420499589477084,1.8256157691753896,1.3011711018787178,1.4601655532299231,1.4618566157717028,1.4766330589661485,1.7108434836678768,1.621128396094379,1.4960794780445281,1.401787216459842,1.4665664633978108,1.1361793886962333,0.8852404513859256,0.8993647118552057,0.8611681482875407,0.7155058261061024,0.5152991854750927,0.5518660794334533,0.5532865478846695,0.49531409829316425,0.6837473317659628,0.7604501867199877,0.7889095609483586,0.9538666948960843,1.196925514105034,1.209105027053072,0.9986993818631802,0.9872783710831733,0.7838508877894661,0.661908520072394,0.6667635722166269,0.8190981990296352,1.3034409282262704,1.0186934237083065,1.2541197938704232,1.0536720545426728,1.0461679846415837,1.0848208249806064,1.2914014679420538,1.2018372482479478,1.1731946780574973,1.3162742699845997,1.5143167647653557,1.4720941689998925,1.5306870746886725,2.0250318602595208,2.044057065906095,1.8127295775741203,2.480359559373732,1.5048601119886431,1.487626647116855,1.3348942602257212,1.0311315848709839,1.0253111841733933,0.890510568437978,1.037200566852119,0.922270934500234,0.7543479814151102,0.7178878879572363,0.7364347369336811,0.5803808420488669,0.5485325362867558,0.66995266515591,0.5575722045888586,0.5429293626600821,0.6787902994793269,0.9386543363933618,0.7013353666365378,0.6338871714675768,0.5743358679897829,0.5464466522869103,0.5994677030535702,0.7144262318601878,0.6288161523913661,0.6025790243072916,0.8395552172344832,0.8533208845530619,0.796366358956108,0.9623544933159591,1.1785398451061184,1.2477696088947356,1.0367116270416545,1.333896020400947,1.3654469851804796,1.3279988309672506,1.2375902983153722,1.0097418876938726,1.551830308006028,1.4063672296621188,0.9258518938602714,0.8352562593257603,0.6552706572532251,0.8560412883428089,1.0961891879040213,0.651891789743189,0.9414426537166483,1.4452249050960697,1.2721784934550815,0.9208251486920984,1.1950205073211526,0.7640251595400332,0.5750496507240996,0.5583128432424839,0.47873916633015995,0.8076680878518842,0.4861518823270105,0.694344242052434,0.5118891263996685,0.7493928872877448,0.7351699831944812,1.1294515529494604,0.8971264387057178,1.733449326884871,1.6960094463855917,2.7930305133708364],[0.45299303435323895,0.4620293661146266,0.8706960664367968,0.4509529400368058,0.6094996469652961,0.44115896863837695,0.35637928361082194,0.37538435034978934,0.47316579991733976,0.3614753681900277,0.3897520730281802,0.454329816838256,0.35887015858432597,0.3884205733884288,0.4592929089796194,0.3919861616153551,0.4478359584037148,0.4279879897885041,0.4969905255324459,0.5444574305041006,0.6483240911456426,0.7477014673537922,0.8469602880935292,0.9761229542610667,0.9390393627367104,0.7234060973575859,0.6249946637709181,0.4776751405034817,0.4303148051591286,0.42550423299815376,0.4584949821795938,0.4165179049768881,0.48647884199520525,0.44612311735932914,0.4417805246179993,0.47253975969747075,0.47451340536564585,0.5203090619345571,0.5849647870162356,0.7013292225044795,0.7796373400894657,0.6383766551548501,0.7390880833520519,0.8997972441423553,1.1302469543220204,1.5125317070384663,1.7981545515814228,1.0862960195950586,1.1856354608682935,1.734099214185358,1.359111907170878,1.7269723646584676,1.3552346321977755,1.24884219598306,1.5827556101605702,1.0271950691821667,0.9453316707471335,0.9095254133430073,0.8851132738779968,1.2214524059674399,0.8170190910114203,0.7354894883995206,0.6457345151796653,0.772155669576445,0.6899785013449518,0.6509644091720406,0.7697613252717393,0.5155178855961942,0.6365204848715159,0.791056620963891,0.8935700559579437,1.1605166712540844,0.8942716813065148,0.8511842913970042,0.6235434478741263,0.8952923757244,0.5347989595693731,0.5204746097719714,0.5467212565902169,0.6330390108865193,0.5922603916934909,0.9546019817044358,0.7875559059863615,1.0066592590723666,0.9063395052456465,0.6561401843305349,0.5872063896384949,0.6057899231702679,0.4989683451319555,0.5139100885866204,0.5095817470347535,0.7642951095514064,0.6603732990638352,0.48847211849732425,0.47988119271580343,0.6469979991375985,0.7179261051470848,0.4959384704863002,0.4669069515670565,0.5605762241336631,0.4421459480981576,0.5377561672541428,0.5002329075757411,0.5304262023575358,0.8425200152758607,0.7595715876702562,0.9584089860012984,1.203849808173681,1.134389007840272,0.8527884941604031,0.7186368732217496,0.5869342699879797,0.38713014534883616,0.4538494230465262,0.34287041880812325,0.41140955042100424,0.4689821482627328,0.48381706520748174,0.6636500837422441,0.45170292332785367,0.513577755250268,0.45878445749620944,0.4370046496097502,0.33640683763564305,0.33865222506955894,0.44100120222567,0.505000168975703,0.6823546105899367,0.8716030820837496,0.9670267745394567,1.2418610338961167,1.2133896445488837,1.2015334522649534,1.0578029535499434,1.103154780933553,0.9657767201061652,1.162615248923555,0.9997820351875962,0.7346790618615776,0.6266254545430814,0.5714448645416923,0.7059714837150826,0.5349118911842704,0.5389855584031396,0.7233420760932638,0.4975356408180385,0.49276467424134657,0.47437539503885295,0.44481946742263745,0.3791494233385347,0.47221335053016683,0.4469005918651783,0.6507441503600514,1.3018689352740422,1.1023863899712274,0.44403828454641053,0.39156917246022277,0.39496204561119236,0.4460212528661091,0.5719761473583356,0.6554363917192937,0.5695903682776445,0.6348449729592901,0.6774703806151702,0.7033326040340478,0.8543871180992952,1.066226661574861,1.2511281257924847,1.3697991437180317,1.222786624050025,1.121553309852758,0.8913297306371668,0.8580489866833401,0.7204354070923024,0.6422276362169046,0.6391791761052836,0.5710587813259465,0.6099030367682912,0.6387108383599166,0.6733336466331307,0.7291794935600179,0.7680370725519091,0.9455302051673987,1.0554956873352894,1.0179850206134344,0.954297132170851,0.9738371217384508,1.1883310858619223,1.959332802851021,1.3957314603761601,1.7756484733431324,1.1720200653854458,1.3278392819160763,1.3442938109491835,1.368904721471835,1.6294626048238137,1.55965266829798,1.4703548258852963,1.4327816656080514,1.5192668494288109,1.218469480569555,0.9921124658934615,1.034166064243903,1.0117462208995065,0.8647872045572322,0.6767001094764659,0.7243745301348397,0.7095449359405922,0.5776568812793527,0.5927350346194308,0.6524273706673204,0.6798737963631027,0.78388832883353,0.9320823325880979,1.001813583489316,0.8445186620494941,0.9305392540204453,0.8360342878763011,0.7826286940037304,0.7547429058944947,0.9571381135620256,1.365518296935747,1.1245819707099174,1.376650734541441,1.1585880186043942,1.1261367960241002,1.1509886854594544,1.3333337668383187,1.2789544131830703,1.2471467118816093,1.3530061372230122,1.5587629182168212,1.5443868667777096,1.576087299458968,2.050698563235524,2.10830934446602,1.8873569859054635,2.481711827808361,1.5642121985902466,1.5008856262862493,1.3566765411237756,1.0858095003294934,1.0643351152935385,0.9575408800600103,1.092424244023961,0.9784856444315814,0.8307328248552279,0.8097580158712044,0.8271923086788664,0.6987054091454598,0.624319566809337,0.7143793922344922,0.5860358716338554,0.5853861770183013,0.68352668641226,0.891938053072908,0.6606508890450502,0.6420494479981745,0.6230085784206086,0.6566516449622417,0.7175370983239336,0.825742555462858,0.762331501681853,0.7409127485656091,0.9571250819250099,0.9972998711397353,0.9554352794801532,1.1038192428487164,1.3029669105199493,1.413747626754599,1.2181614743725073,1.4714500676941265,1.5071128400983145,1.5027255921996496,1.4333782673310638,1.2466935478250278,1.748155295392062,1.5349039227799914,1.0340657722798203,0.8470481829178845,0.7308709592870071,0.6430981865197343,0.7977260390284122,0.8982664584996511,1.280532176370864,1.6957895648253156,1.455375235324512,1.1226089965226416,1.2809134624065173,0.9112956863186682,0.6517809458335483,0.7126952915062587,0.6456846441751471,1.0285677212975415,0.6491641149335206,0.593501549120936,0.5689187303878595,0.874701261659175,0.5684254512370732,0.9100673122661821,0.9796929345448037,1.6706746959330652,1.6617370638910887,2.7536619834556335],[0.4721723127794247,0.48883258184301354,0.8858149226537577,0.40076107271503003,0.5097147623893696,0.4526174919976995,0.43105881496959203,0.44782026274490105,0.5648588736094385,0.4936337939516246,0.5256177829108806,0.557568974375797,0.4966836783066063,0.5164583879720052,0.5860828138129809,0.5124617161614556,0.5545398477695621,0.5481261104734259,0.6233984024710253,0.629231970487472,0.7558595935226742,0.8758368433112013,0.904595221357117,1.0162163398982638,0.9285965536875733,0.7845931281693199,0.6322561541072448,0.5286907434014484,0.5134321081349931,0.48303337575875144,0.5745925294287948,0.5048200771822082,0.5901165859438559,0.542783640315688,0.5086836555358573,0.5446296815313497,0.49020334937001736,0.5597492463175547,0.5570222378507147,0.6501627648809887,0.7776156270003314,0.6841480062652087,0.7731974316974973,0.9187139213326894,1.2015115921368595,1.5116066881863035,1.824543923805604,1.1084676618113796,1.1522291959350948,1.6827991910540856,1.3288565943824597,1.6792753093193118,1.2824861881232135,1.17548473047695,1.5068550789583313,0.9914051652420557,0.9213319169418258,0.8909123505162859,0.8371121467765239,1.2574518273428161,0.8881771939335553,0.8340977858589903,0.7653376110594781,0.9212668098807997,0.8263205356774865,0.7625249252361886,0.9106720047057824,0.6579366027676439,0.7705057022941691,0.9055268991706251,1.0369219104258192,1.2990226521263228,1.0162298527189408,0.9683507528973465,0.7505462111549196,0.9762255702781987,0.6634665759230194,0.6479717254882547,0.6634012649028103,0.7039658830039001,0.5718887733137247,0.8469561341371565,0.7360009980525747,0.9044538644084592,0.7923217857723294,0.5645481534677392,0.5676826607069723,0.601523614113881,0.576892156089511,0.5926912597302185,0.6308192262592546,0.8951275874529884,0.7860885975608843,0.6066693562996542,0.6031613342524365,0.7570043237717512,0.8327500339923666,0.6198821077276728,0.5699539374527127,0.6138724931876485,0.5152835934236523,0.5620691748911064,0.5025312738262038,0.5134994915141008,0.7289686878519674,0.6319350229885485,0.7955525206393644,1.0057433568901712,0.9356047833570024,0.7141176555587939,0.5666085679019783,0.47685903550621017,0.39320426503614303,0.4203753779211238,0.433468572907429,0.4566166167208723,0.5154932490019556,0.5595452885339588,0.7579977331829757,0.5841998781357011,0.641142859119077,0.5840300549407554,0.547394914899674,0.4393331371772565,0.4255366354745252,0.4128568650255074,0.49030148785244165,0.5436207206353671,0.6809301014852538,0.797328632879447,1.049359300911135,1.0181064611187591,1.0136039034612094,0.8733405758702973,0.9104186007041999,0.7813286390539469,0.9713845248228588,0.8144805383392529,0.6399226714624978,0.5567824941341267,0.6027208607246607,0.784285522980943,0.6104351780994512,0.5183360462172778,0.6622432940511773,0.4967833439260565,0.477622339152227,0.4665367106276801,0.4281941172788726,0.45535062363754547,0.5136833041752381,0.5309657701479416,0.6884026189247582,1.2874181718866704,1.1019238224100598,0.49762755005446474,0.45949225558980733,0.45328945488965117,0.4502922972855854,0.48793456149731224,0.5483051324394418,0.5047074608044725,0.5323680653886897,0.5743133816873928,0.6452241063596547,0.7652365721000903,0.9090172057277783,1.1396550374752203,1.2338290747506835,1.0560257502669188,0.9416277891863776,0.7229172066384426,0.6855974225171958,0.5717775089518751,0.516068244481975,0.5302410375060356,0.517210422361792,0.5455650774516659,0.5332862832688443,0.5416221697166244,0.719563394971706,0.6332223562308681,0.7941400313785687,0.8940364535178437,0.8512279369773839,0.8642095543726055,0.9196888996055989,1.2598502932931557,1.929031387389719,1.3818915754905232,1.708460626832729,1.0869668135776367,1.211724979587418,1.2208680925044189,1.239215368456981,1.5144114563834636,1.399263954486879,1.32035540874502,1.2755629166574742,1.3439108986579542,1.0770425880327448,0.8490196553509325,0.8659760218067326,0.8604069249603389,0.7447539316405208,0.5737163074189868,0.6096751594162465,0.6235454171462649,0.5282061960503216,0.601707461895052,0.6642590480325405,0.6986859438010379,0.8091326818780039,0.9717042932331706,1.0530447669961958,0.8886281808344936,0.9535218772800165,0.8257212665605155,0.7351874358933972,0.7365450957335979,0.9220249525867545,1.3173149892691751,1.084705706906801,1.2939079520740238,1.088561249490377,1.0528780009640444,1.065272774924665,1.2711301849499752,1.220100133827769,1.1629885310478474,1.268035865289719,1.5091831264106106,1.4704579541695186,1.480437206511845,2.014657996265808,2.05819210029164,1.7817197051488494,2.3639029593699714,1.4062679602125951,1.37280926866276,1.245966943073274,0.9775763542799951,0.9801815919760728,0.8668953223657856,1.0267974303671055,0.8940788830013349,0.773110845023187,0.7481270003209423,0.7562240026200104,0.6098037950716038,0.5715638621837361,0.6912814404396798,0.553641999811449,0.5419825671461637,0.6642258153767776,0.8931034323028885,0.6652859411856821,0.6346268044359261,0.5969900172806929,0.5992533091239337,0.6350058175931753,0.7445290522230512,0.6975502815636991,0.6590377730993857,0.8675586683442821,0.9207478403554132,0.879027802557846,0.9941546862145194,1.2331008728404038,1.3533847603564375,1.1196010264583809,1.3712383396235406,1.4463617951765948,1.4551096454496308,1.3494118092790208,1.1311952122246633,1.7273729159827491,1.4893468841236195,1.007419269978042,0.8276656183079327,0.6697779683204353,0.6780914905360437,0.8466736144083511,0.7438633525817865,1.0728768906053452,1.438548526369603,1.2704250340610537,0.9048976522466111,1.0925600412286696,0.7092759790232009,0.5731031986314848,0.5833993086258072,0.5333124352454437,0.9326287510605372,0.557401495098389,0.6052395164582502,0.525308241629819,0.844689841893356,0.5849535717596903,0.9426045120337009,0.9645140484271667,1.7192565506040323,1.7191384070640163,2.8778693093168513],[0.7162338018791347,0.7127552401547309,0.9832937404168486,0.8114072945576343,0.965639417756677,1.1129282563116025,1.2142775438723539,1.287262366009991,1.4100132152059455,1.4590042634464426,1.4539491335925256,1.4822335549697985,1.516326904024298,1.5073758431517141,1.5354753913326549,1.524359275966763,1.5375324695817476,1.493072026957121,1.454882347794419,1.4331441549219261,1.4369852081429177,1.5146849316715472,1.4461329078024847,1.4661018976964,1.4053390263930015,1.4012614660282212,1.3658798547454585,1.421362314919795,1.4570576292065327,1.4769765053563202,1.5536726409056152,1.495781337186999,1.5701969986074256,1.526404737097852,1.487953339165804,1.4745773441998606,1.46171197232543,1.4013797752862687,1.369433178115934,1.2937565935881674,1.4180689991242077,1.4076251815098237,1.4301193260385847,1.4458312919022294,1.5411538111609784,1.7451665350973793,2.0292696665088292,1.4674538099957266,1.466795617829547,1.8273176429066391,1.626270975937714,1.974102242743749,1.6863952434187353,1.6761633656841952,2.000408351951031,1.5099609922848491,1.4152391943770157,1.6393996892242293,1.5537221569468567,1.6292121022289046,1.4223005500162196,1.4489752085629923,1.4686925763372365,1.5119243014107293,1.4133129738486208,1.436201616065663,1.5294749453816867,1.4774498559058076,1.5187631178445642,1.5819314770457327,1.6061768661045772,1.7239393667816976,1.6221508731495649,1.6066411000029412,1.5002033161745796,1.5036392500747935,1.4624132111305261,1.4879258377064533,1.4825151139544843,1.4713051498946281,1.4223864106104351,1.3876340018128135,1.517710056804677,1.3793056640560406,1.4146741097170685,1.3578114359520195,1.4039660348515428,1.4998900278251035,1.4786964627688695,1.516624876760231,1.5193203996152291,1.6026847457089803,1.6200952433625329,1.5725973704460123,1.5601090163318412,1.631485332940814,1.644401689418479,1.5523033995986428,1.5021476910521618,1.4772603572990146,1.4611228180758336,1.4241746673453517,1.4083107954827137,1.3790930490503368,1.2839439068889393,1.3540401754286202,1.287460125596385,1.3029609293657258,1.2552975163059974,1.175558301349894,1.172852234567625,1.2102647117094159,1.2653060874487725,1.3099117787977994,1.4569180211230734,1.4425142507047288,1.444355377232276,1.3736651976125203,1.512670896322836,1.5017326423760273,1.5343038717969553,1.5265534988941047,1.5130104272465683,1.4333565863190139,1.357700292016308,1.2133033198900935,1.1836016878550837,1.1702033628571111,1.122805493952882,1.215506644567879,1.1925692895766924,1.169594223340844,1.1799162150192348,1.2184116109666159,1.1938191961828837,1.192829472752854,1.126194116694128,1.1677359251835693,1.1532147260983139,1.2301441431686018,1.2189706760284005,1.3819300724393522,1.403009435290779,1.3121515088728644,1.346596729422698,1.40616338281669,1.397011120990976,1.4012766410378592,1.3560318332172527,1.386120066267706,1.3407241666118255,1.401643824528703,1.4521678574391563,1.8337867492639301,1.6768546012609218,1.4167707820566835,1.4137819050523783,1.3703085407924034,1.4267026923423802,1.3468765963070706,1.3578964691399074,1.3538811943741824,1.2575366739491736,1.2649748013268725,1.104452835124862,1.0851453212921705,1.1716633321066177,1.26238266419935,1.2835439538276703,1.2279532295538598,1.17878311061066,1.157202032859634,1.1762548959719628,1.1972724022202665,1.2742308125336004,1.2960718431709104,1.3802206711613692,1.401943920344062,1.314233744768344,1.2847614716924616,1.1928774897137366,1.257727103730705,1.1928656590463622,1.181914500292093,1.1801803795785857,1.1929300945454562,1.286207451952236,1.515142022114036,2.179243757993388,1.5449676641780223,1.8880196681751458,1.3165315621726876,1.291852892156858,1.2998265075376054,1.2883479718271258,1.4614779084908,1.3897308709532987,1.3224950660608663,1.2875507056950999,1.4290810418495392,1.1630813006507563,1.0814406863388446,1.0912167311086944,0.9871941112512517,0.9142553487850043,0.8609698631294542,0.8041934187468329,0.7759712178139311,0.7878687855523046,0.8106884188759487,0.7920240297506602,0.8115096478906572,0.9379703563975501,0.9821119024534372,1.001127676931615,0.8739427861688251,0.9454259059443932,0.8650038074855926,0.8083825117568585,0.7886170093260133,0.9096455662657144,1.3808610347998294,1.0805525060019172,1.3326893263133583,1.0870004219586735,1.0664301351282297,1.1385986209288557,1.2876791290452771,1.182899465601683,1.1573508013368656,1.3155161644945104,1.4399593673176925,1.3752018841346818,1.4159843710524873,1.8890103760953152,1.9014982336779511,1.671375827151139,2.2293121399028024,1.3889883501185696,1.411248998166098,1.3193854401822867,1.161452758802468,1.2445221753034414,1.141842170266819,1.2840965999441185,1.1646067327981429,1.015160324609753,1.148077567400627,1.1220466586848654,0.9436521127473446,0.9519684094157146,1.0582585434712264,0.9269361485675571,0.8724760963812034,0.984880272659487,1.0948611607144976,0.8663418836706632,0.828936688771772,0.7816667610447384,0.8015218771070066,0.8598089726558362,0.8843200709007122,0.8201591036920369,0.8098215818706904,0.9441321915268918,0.9454875301460447,0.9267063749953793,1.025430299488438,1.1874063151153478,1.3273734121564034,1.1294128787928202,1.2969977951257554,1.3591400514414356,1.396191363672189,1.3227266182826494,1.1718179130294817,1.723131192651195,1.5523830484153207,1.0703958361886088,0.9127337537999981,0.785423949472273,0.7639967960984398,0.9011104572741137,0.8924649434885483,1.1959394088481679,1.5350119493875376,1.310728216851811,1.0560857041549283,1.1889111417216494,1.0164426607770578,0.9846189659381819,1.0589594435308984,1.0017952905628325,1.3603279994549446,1.0990552266913283,1.0239584082602915,1.0686758732705657,1.3043714852244206,1.1136313132643003,1.2485827688440885,1.2766746619195175,2.3339981871278326,2.354682168092819,3.3976113016682588],[0.5960601902403656,0.593429084006081,0.8606214697848822,0.4873240773609367,0.5925441379358695,0.5527326762845187,0.4922188783153264,0.481983144484515,0.5859876452367455,0.4493304294994137,0.4714704593279449,0.5192609430135995,0.3994330043397754,0.4158016365954793,0.4659358875881563,0.3956327092481767,0.44447949839597445,0.4145058503047196,0.4874504375390103,0.5510959308037804,0.6426075021448688,0.7489092907002101,0.8549675198802276,0.9888914941106633,0.9707469437151393,0.7302674531580154,0.6494811590508194,0.48518891478043513,0.4312329507806283,0.4175083442551493,0.44300729372654285,0.41213812372248376,0.4892799057196782,0.4451982054576798,0.43466026231833477,0.4689872312683076,0.46398495065798206,0.535564143389189,0.6037619962991098,0.7087007512815722,0.8096433187604661,0.6590468424309238,0.7584785734399265,0.926278640382904,1.1489685159251724,1.5715695642079022,1.828898358042902,1.1082489990945703,1.251970238935262,1.7730579813713212,1.3671950847993883,1.7254367611148018,1.3503087144898678,1.2392285432058918,1.5589803155306492,1.0227258866707174,0.9561967925134196,0.9143543922019436,0.8945869891877106,1.2266604573341087,0.8401244381826444,0.7378324659181557,0.6449927466318687,0.7593943436030235,0.6911646942307147,0.6490980876270166,0.7435198265742547,0.500052294435581,0.5933808494926965,0.7659255764630187,0.8639235546186569,1.1115372130997987,0.8561711016462795,0.795895420465255,0.5952354042758611,0.859960153608483,0.5298913520918664,0.5164492934675472,0.5510707866061357,0.6474339588108884,0.5967608490042479,0.9357969926461118,0.7994958581210664,0.9657799965794494,0.9018303641075835,0.6427366981439041,0.5902848056912734,0.602167825154969,0.5070437984134891,0.5088141118188374,0.49931318528265906,0.7452577315234099,0.6347904342379118,0.4685579169813679,0.47490791558920453,0.6333521289716891,0.7385746533751246,0.5175484234551939,0.49416347182846876,0.582838571514386,0.467820512724418,0.5515988299679144,0.4941636234376441,0.5281531236151736,0.7856989025539047,0.7059092698142378,0.85533602030583,1.0774274185863548,0.9944203785439087,0.7585563719924416,0.6163172241160713,0.5285485482435633,0.4044515066264773,0.4404847833565232,0.35031083355723014,0.4069284786449361,0.4702296055143115,0.5054677516414036,0.6389080948752054,0.4338899006173411,0.49194879306207784,0.45000907432138604,0.42992226353793883,0.3500700001585846,0.39786372127869113,0.4433208205042707,0.5340758809973318,0.6328436527771724,0.7730994327484689,0.8805413563979694,1.0975643387972132,1.0614299209006646,1.0803335703739152,0.9567571666883435,1.019868240725522,0.9135893156331223,1.0601839117493015,0.9842454020677855,0.7849078520644495,0.6803716219451904,0.6228126253399934,0.7168285400227784,0.5702405140038126,0.5836119895517594,0.7495699001630002,0.5125791418338314,0.5012689295634535,0.46638898062259726,0.42995858329147507,0.4358500994042886,0.5243982008765651,0.5531491786683188,0.7147947379609754,1.2772381246778994,1.0870121876679748,0.4867891716304141,0.43295838232876466,0.4387075721387362,0.43167621407289325,0.5341015917824345,0.6322998892619285,0.5616256979236455,0.6481617388538418,0.6901713407421516,0.7260228811005962,0.8783075340009482,1.044058024106133,1.2203770027585077,1.2938285272634045,1.2023415102379058,1.0894749274739086,0.8992466124073476,0.8478396248586827,0.6998026109041047,0.6206053747787602,0.6072672854062101,0.547163489350615,0.5947186240566544,0.6187165531232011,0.6374083488070141,0.7298014219153482,0.7241699550620251,0.8861580075524894,0.9801300656035228,0.954040742799029,0.9343941297497319,0.9681719035975989,1.1891260676364621,2.0236423677170863,1.4119548057530698,1.770667836309602,1.151013516788262,1.2536936757149657,1.251618991676388,1.2411434148824112,1.4448238825401776,1.3912251397957214,1.29955238913767,1.2314095115664387,1.3530431160345633,1.0412767209041338,0.8443782675315502,0.8678258552354936,0.8290066328971036,0.7116648273310241,0.5743712602974239,0.6321995188177199,0.6125862654103315,0.5568787370460495,0.6673641451677166,0.7258533361204421,0.7429881409158379,0.8637006733423704,1.0332570963154935,1.0682377424831142,0.9128321110506441,0.9474796183387003,0.7961607166876774,0.7108455580283423,0.7074575837764929,0.816868006812947,1.3892875050369708,1.0015149142046529,1.2516061260435347,0.9821192513452501,0.9505238697742215,1.002246749586617,1.1815716448157043,1.083548748940253,1.0585216034559957,1.191463205444963,1.3680832028259915,1.3210199463597263,1.3629414695523883,1.8551409857878176,1.8630243168925174,1.6310761880257199,2.265398306012772,1.341037284819144,1.339573929753765,1.2010767564287896,0.9556341798130624,0.9725047342740731,0.8640571782888735,1.015111263429595,0.8782825789409087,0.7541912870380987,0.7674368437314647,0.7528868019719548,0.6230861838995077,0.6143365483682623,0.7398620900870535,0.6069186497030222,0.58324849879988,0.727451005367518,0.9225918178013428,0.7103679177204759,0.667135604228226,0.6141935923154765,0.5965313230269711,0.6252973654881866,0.6885230285255102,0.6582325145848771,0.6403536422214507,0.8023012696488077,0.8294678760842132,0.8111836737439009,0.9194818201069469,1.0985807370549128,1.2179150052372518,1.0265328030410685,1.2242923259442697,1.2605452908146064,1.259840836490834,1.1850390747292385,1.0376578981955864,1.560589568241529,1.4531386264664068,0.9682182350938578,0.836431573350432,0.7057048434384331,0.764318259262075,0.9496050649924852,0.7585969028866562,1.0154781486721827,1.4244863141437079,1.230182385318701,0.9324801040940148,1.0824113095560186,0.7515642797581256,0.6476685855725929,0.6054493478417335,0.550675563165873,0.9780690829827842,0.5853145110848348,0.6791614393692494,0.5709217977850772,0.8361865288106684,0.7564420302727419,1.0178333767931584,0.9875290415415477,1.960554410346527,2.033664238403252,3.040204006265475],[0.6781054944618673,0.6727052862115854,0.9713675449630463,0.46359263169889753,0.6139460259357222,0.653937322065102,0.6618487640108922,0.6342235831302574,0.7383405572689187,0.6542467273529053,0.6775460237510487,0.668661463001546,0.600871643610977,0.6206587078711893,0.6401207402358815,0.5684067108934219,0.5718282545692952,0.5112266503451622,0.589469670530771,0.5040161202181815,0.6116362127604305,0.7178340903689802,0.8110731097682577,0.9110413433207448,0.8551313820939613,0.6308751435867297,0.5109848087141888,0.4270350931293905,0.4609250544390877,0.4346592324073276,0.5454689426761865,0.48805802738177967,0.57970573003474,0.48551559912408443,0.4370846954549561,0.4544189348207196,0.4193971119132497,0.4428503687196518,0.44237264626977824,0.567103927966183,0.6815179529467468,0.5689824993122936,0.6624687590714823,0.830824908305312,1.1412765124720234,1.5121396947677597,1.7899556432794832,1.0430719677958116,1.0981545441791742,1.6728187676764388,1.2867490693060553,1.6498246675599644,1.2612775538339678,1.145563779832298,1.4965869234594638,0.9462879860875015,0.873225214724601,0.816810629940625,0.7896222698252615,1.2194886218152836,0.7760673232738309,0.7137326792495263,0.6320263729839746,0.7791191586110746,0.6769655110031988,0.6249206106692238,0.7719944211816834,0.5635762203980703,0.6946358977819784,0.896967287147778,1.023848637110249,1.2642519925403657,0.9560352513766208,0.8715780252852469,0.6972961752612508,0.8912221119069746,0.5692378145443271,0.5600937420091698,0.5744753912055234,0.5924038281956286,0.47301826260375857,0.8029016935872058,0.6318109505738685,0.869093939281013,0.7106685255868165,0.4581777816751655,0.448971021211354,0.53479232027354,0.465553618453371,0.4937745097444726,0.5468083606366531,0.8095150164029823,0.7184211003993571,0.5813537910487062,0.6219518558788796,0.7740913309478332,0.9043083348874449,0.660844971860614,0.6323881141195443,0.6577502377381836,0.53596383930749,0.5706541510960889,0.45891912934003304,0.4799813323052067,0.6423716852717074,0.5408681197331056,0.6574629606595948,0.8346567561841519,0.716873304833166,0.5871204504255843,0.41306623696629435,0.4227321667330251,0.4973496692910755,0.43203379681406967,0.5135640515664884,0.4882803159756387,0.4718546231431596,0.48736456243250986,0.6462255914723553,0.5628355467460074,0.6702981343170584,0.6387832944423958,0.6297073538329133,0.5896748883209122,0.6232935071363626,0.5337010278744239,0.6443861222316313,0.4696547657266058,0.49845128533715943,0.6474002131878125,0.869458668207525,0.8472442144130342,0.8857202631543857,0.7471487576585157,0.7918945982783133,0.6479019543673882,0.8187837345448777,0.6862447022600007,0.5242298162655469,0.42760171740043623,0.46189425915013166,0.6576728228602574,0.4741161742489275,0.3950966331293303,0.5424436465506428,0.39381590267747335,0.3910113145141785,0.4266047954750979,0.41038325769174133,0.5729129414152967,0.5746567444185595,0.6669733496034297,0.7634120351891147,1.2436612801656195,1.081171307525381,0.5851973809114839,0.5462164957787286,0.5196862564876067,0.4188117842448721,0.4203129198148701,0.41824000352003154,0.3842872836054681,0.41482429675213867,0.4703608806952604,0.5940000673344791,0.7418734711877667,0.8687884830052679,1.122147653157988,1.1924429303977084,1.0181953507951198,0.8734005517302336,0.6296015529096192,0.5857522054147669,0.47039462116257624,0.3974550211831411,0.4099805718454863,0.42334407812526137,0.42763393578868913,0.4320419145214776,0.43090007498896493,0.6943346400080261,0.5072740619664637,0.6950692792319916,0.8123259396814374,0.7795387036366493,0.8019812863450431,0.8597754965145552,1.1756509883368942,1.8890668820688319,1.3442490833271297,1.7033842200752247,1.032261231020741,1.157653078495372,1.1454495291427356,1.1309346784072896,1.3685474520528325,1.2457038553485977,1.1625805317983058,1.057962144992867,1.1187974723665548,0.8701730732497587,0.6515834205228014,0.6248433928171748,0.6319288295384802,0.5541481381685751,0.46466216070959715,0.5460136397681089,0.537105345039839,0.5207704808772716,0.7424484685095956,0.805874843435796,0.8119062921991986,0.9438035993426874,1.167252171784005,1.195725866238022,1.0425482398007269,0.999031650561405,0.8359845274741733,0.6882663932609188,0.7126722635234193,0.7943893435460372,1.299417505894879,0.9724496672696783,1.1452758568308334,0.9188516464678281,0.8850518052712499,0.9113734172417798,1.1366954876804867,1.038934799113904,0.9844327301050252,1.1133921066885877,1.3449046375527505,1.2682176867364912,1.2767471471098142,1.8633636114019565,1.8466629860155794,1.538099164401001,2.168162456033099,1.1596517782097313,1.206627900157367,1.1011380837515095,0.8421402641642096,0.9018955544354663,0.7785913894426773,0.9501327901914366,0.7973621657596908,0.7048280181177893,0.6686701932480412,0.6576688429781492,0.49910778880767576,0.5507103309060629,0.7093541929426364,0.5920128468896525,0.5501961246936685,0.7051839569714607,0.9510204864987425,0.7309254517258078,0.6549849953426885,0.5959085388244423,0.5238080033466445,0.5263609419321107,0.610102542450677,0.5787680803434699,0.5495189395235663,0.7018094607850741,0.7444918128302719,0.7283679566013999,0.788033462531822,1.0225131526289413,1.1541949731583125,0.9201662478926959,1.1041638496580857,1.2079947953437506,1.2210377466062527,1.1004452659247184,0.9279746628055267,1.5933463820961054,1.4706514859599176,0.9891351600607953,0.9387132058992982,0.7340291823378017,0.9321106377284258,1.202912786309449,0.7336941953798044,0.7935683529843831,1.072372042073832,0.9817646716476317,0.6192956587731576,0.8236251106516602,0.4700745384350515,0.6529970445980896,0.42211826937413055,0.4070105756548172,0.7779234588459835,0.4754233647082131,0.7744990987326138,0.5371847919048695,0.7689050956102289,0.8003049702328439,1.1041733821636728,0.9168679225735108,1.8990682810806827,1.9883611607827028,3.0726725877014736],[0.6198785553111889,0.6308772519945235,0.9222689552843102,0.511853761202915,0.666734318608894,0.7119856684524748,0.7366385274245916,0.733918622056309,0.8301508233070094,0.7882247068477094,0.8144812415404306,0.8167790308573135,0.7853858878045248,0.771417783052271,0.8050805106482778,0.7475763733321681,0.7299411362629584,0.6785842703438248,0.7134144679833364,0.6190691064739309,0.7199218576436367,0.8317864020515662,0.857825618558574,0.9504114639107135,0.871512884649796,0.7348526553715052,0.6236687974340241,0.5960419487677949,0.6332457724721426,0.6210346069391293,0.7243987275980024,0.6747811157803689,0.7595521536732811,0.672330150896657,0.6215088481430164,0.6237206954387915,0.5938203605422303,0.5936931813243961,0.5705326563306874,0.6289289450933057,0.7760582173125649,0.6631996889250839,0.7466323010422276,0.8804114351837936,1.163999660505889,1.4891580554189994,1.810719625922928,1.088158636402888,1.1444505771909559,1.7038418662122246,1.3465575900886813,1.6785234250446652,1.273070307822185,1.1898513053102329,1.5058977120594044,0.9861022418609002,0.8916487620138511,0.8969966868099899,0.8286379538975642,1.241671685233688,0.8388120255817282,0.7985830087982416,0.7533026568274053,0.9012769879499015,0.7902498512148133,0.7422201461569614,0.8765591313079626,0.7161746215436662,0.8439231506695793,1.0057736944109565,1.1212074502340355,1.376245145482711,1.0622292486954072,1.002431472339791,0.8226959511742364,1.004632932423912,0.6937506609943306,0.6960662527004706,0.7084269550853741,0.7168243450017601,0.5801729568485018,0.7689733525867063,0.7324293756945781,0.8750749481602005,0.7882014658905597,0.5596138216540752,0.576838438643788,0.6689871266978219,0.6174379327210819,0.663373314351051,0.7068701078264744,0.9513464798743271,0.8850107698024041,0.7746456727860933,0.8003764233916586,0.9546869697336937,1.065207877200382,0.8267136466343192,0.7918131356520792,0.7947032935415347,0.7067538048683231,0.7251302207596999,0.635564869080442,0.6506471244723462,0.7021160980888674,0.6672584442509564,0.7073822805448893,0.7925894036806472,0.7003216840206258,0.6145797053641294,0.535736891483133,0.5677798874524642,0.636246635493988,0.5986581742504462,0.6809234355554638,0.6558071450824325,0.6248477482243865,0.5989273952199629,0.7720183987526833,0.7092095378254077,0.7942932893534026,0.7734886997598868,0.7415992404506768,0.7131863576731248,0.72572362737026,0.7033128123711175,0.7404349626660147,0.6022867672015348,0.552345182234614,0.6473717256661189,0.7936346248961569,0.762326136867611,0.8008822384743611,0.6913107343680008,0.7308518783579503,0.6260253411313176,0.7766768303806372,0.6710377287376382,0.6092389511680535,0.5370454819527964,0.6151727958585725,0.8187539697717354,0.6529920749882145,0.5418877144890641,0.6183180186488153,0.5617516211473633,0.5544351549975389,0.595259991433044,0.5925688863604146,0.7354400385821044,0.7263048521239223,0.8385825800724062,0.8910416482569576,1.3214891240261988,1.1763445042036875,0.7301143208936295,0.700764371412772,0.6824928349195315,0.6094992085402352,0.566183774725129,0.5851008648670019,0.5182162241419046,0.5195713160107711,0.5455666363711275,0.6231816412897886,0.7236102372117343,0.833784364106129,1.0996465015902421,1.1200589718393026,0.9730697648293668,0.8331711293692173,0.6382662333338565,0.5843842984641657,0.5004635018906128,0.4874417449160688,0.5237166170136754,0.5655882032488282,0.5743457354575671,0.5282406158038631,0.49322082637417825,0.6792624764249988,0.5745812711205216,0.6794463915495664,0.7569915749896863,0.7245080643170136,0.7898673673585244,0.8619341012101112,1.2253138123279943,1.8948827304245934,1.3622327504136371,1.7115922259210077,1.048181991281885,1.081216106868849,1.0580352900982188,1.0287978875684303,1.2370704559710857,1.1386641905802228,1.0817166691700095,0.98556809098397,1.0541402859799862,0.8274008317738212,0.6507227718987837,0.6170545804015277,0.6215539027201653,0.5583259699304266,0.5060053706614223,0.5702530105819718,0.555759541822588,0.5516362892819843,0.7409283638762973,0.7884063059692299,0.7959490459294758,0.9180708810913715,1.1039338343073954,1.1410868641301022,1.0017223310284005,0.9776481583800327,0.831091596085458,0.6960167968512286,0.7160440437166,0.7809400448915015,1.3202659581601333,0.9660336538469547,1.142777809415709,0.8877607024712277,0.8398948394382375,0.88044574903479,1.0956728271183456,0.9934863596216811,0.9339994417494877,1.064677275443443,1.2854036729281475,1.203488968937196,1.1936707542674918,1.7735848377440837,1.757123094316397,1.4552815802938552,2.0233815563344324,1.079289637154893,1.1468781896833715,1.0528353119179965,0.8445456776946582,0.9245599817809725,0.8079073698232242,0.9572847731127592,0.8193199359205814,0.7235418101429459,0.7404879978664238,0.69849583473601,0.5605573651598378,0.6213084137268869,0.7706635238152723,0.6443211207862609,0.5893126859391825,0.7480378074629448,0.9476083778240373,0.7344588280999746,0.6671516594008993,0.6055249427630918,0.5548800736643331,0.5551121453592939,0.6004804842923867,0.5897860468879522,0.5658075053828722,0.6819628607319869,0.7216398914040278,0.7259060751423508,0.7677501477375996,0.9836806324283913,1.1455031949518513,0.9201246891714449,1.0574170962354423,1.1782629557087183,1.2105435530956392,1.094989105577468,0.9436483816397024,1.606833494944481,1.4728981292852668,0.991654117770975,0.9135025116476347,0.7344726261804426,0.8865085852695852,1.1228753109910778,0.7322545492455024,0.8176152246310499,1.0781435749612864,0.9650185518405884,0.6325544961908562,0.7713667374630271,0.48132148354387555,0.7229262874491782,0.49776137125470915,0.4746294080963744,0.8612433484507641,0.575449045009597,0.8106737010130615,0.6122797851987459,0.8128444085631568,0.8825079146096158,1.0842437999703398,1.0175361180462479,2.125846975875017,2.2996380364131337,3.3767673842926893],[1.049063283593792,1.0388621454003266,1.1742315288749765,0.8984401647044817,1.0164150327172379,1.0608017939086714,1.0876414476198635,1.0717038445474434,1.1248503269972876,1.0203663756345573,0.981353437039098,1.0316135259877186,0.9626358998450741,0.894023715935283,0.8824375885642041,0.8682637053005621,0.8570617041952936,0.7519163077843208,0.7795874682990839,0.7716739682268584,0.8669050528800945,0.9498430695278803,1.0529733727591861,1.1868397976979603,1.1259127642548459,0.9573176405881682,0.8406008498612683,0.7516892017549445,0.7664456222561702,0.7808643917648235,0.8140446000718439,0.8216814733983282,0.886901945221227,0.8026900092961972,0.7865260358897884,0.7694994157678031,0.8018852070653828,0.7671358596272833,0.8101469982382787,0.8458991369515929,0.9593897021830675,0.8564954546893802,0.9378792799521368,1.0801207703880906,1.2682598660302273,1.6455836048419932,1.8908906753270434,1.230780045177442,1.3517901295129624,1.811809737760875,1.4435866574023388,1.7129793151000803,1.3957826291610316,1.3306697421484186,1.6610833429273744,1.1326227416894554,1.063878378053471,1.1267054707212099,1.0840136166044279,1.333693760092641,1.0025772242171997,0.9106819817780893,0.8369722269134902,0.9116608373104342,0.8622708688385974,0.814777751671578,0.8911067160465412,0.7487912233227015,0.8250718935786665,0.9512296876125218,1.0107244789058687,1.2054708689956182,0.9869460232907218,0.9848613530672075,0.8057249631629295,0.9880644466934854,0.7589766612159158,0.7473736068977856,0.7622363985562378,0.8325667619454606,0.8166661531742687,0.9406577985316801,0.9331457814166916,0.9807941282395591,0.9807555200580882,0.7817704956269982,0.7972743569228705,0.8799368251748839,0.7726096321926395,0.7964159294046416,0.7939169301677382,0.9467492367523747,0.8957156019134493,0.8596860430554528,0.8844711255115366,0.9818803120737413,1.129257497805189,0.9483239784251956,0.9654392805658902,1.0438169049306194,0.9041821263184175,0.971963543069876,0.8498401952228667,0.9099210197890432,0.86628016413289,0.8998260400531275,0.8916870738576913,0.8663550601591092,0.8359390850585257,0.8672655265436342,0.8481081055314795,0.8404083660621894,0.9438206452735077,0.872505587567309,0.9167574509930297,0.8531522838746902,0.7572988153744531,0.7497459645610439,0.8658511920071013,0.7391182608792837,0.7891283918094325,0.8223275574561909,0.8551611558467928,0.9516642306358825,1.036301070455606,0.9777941554025356,1.0370351479760642,0.8698069757416774,0.761081598802988,0.769835260684087,0.8070668916097051,0.7900522912275812,0.814973465067168,0.7708366446662317,0.7957222422230223,0.7641530315970229,0.7848947804134465,0.782473708179939,0.747513224339468,0.7860311852453549,0.9324575872937304,1.0233471427658796,0.8787442585706221,0.7785139368610138,0.8588787819971658,0.7721483810177773,0.7793154993734923,0.8159200381697114,0.8472370816264869,1.0101800976434352,1.0187203042457407,1.1648153755977786,1.210704221423068,1.5784654361911197,1.4258036546404438,1.0265570357401153,0.9682927487752394,0.9606768177873359,0.8654953956609245,0.847796125033837,0.8381003322919444,0.7629664860063737,0.7575003326761554,0.7846908210083328,0.7539927327817914,0.8192297760274558,0.9107393207754416,1.1036147435434769,1.0702467636518542,1.0147256985775897,0.9021093647944418,0.8076872698868225,0.7712971676806963,0.7158320482115113,0.7339616411263622,0.7546541045651318,0.802288608499641,0.8178201018921528,0.7579692283947194,0.7610434306955155,0.8231912053804236,0.7713876172213899,0.7960840513792504,0.8075443589714704,0.8201284403537247,0.9096057082764619,1.0064655373830769,1.2401217461453191,2.0452585801468826,1.3367717330384645,1.6963394427590746,1.1336338310522858,1.0535366759426885,1.0344883202456079,0.9750602279441327,1.0783104197492646,1.0148110754513233,0.9734690537862097,0.9008776934532449,1.0190045761562578,0.8232949716156772,0.7946386038375646,0.7830632890633415,0.7841463748898067,0.7901996270808644,0.8787352001512408,0.937677589472726,0.9202317754204011,0.9953639441324866,1.1858056058845634,1.2160564221616823,1.2403821984766517,1.3618555649656103,1.5281072047526683,1.5151118779514572,1.336352353805503,1.358098249972301,1.102758700277299,1.0011377482416979,1.0323067644085817,0.9613054617891412,1.6290111472583253,1.1059648296184579,1.2656849844615738,0.9018007600960588,0.829509143134438,0.8982217688059148,1.005814860307015,0.8935664406779849,0.87463427063035,0.9727959309483233,1.0753995467489694,1.0120780801190996,1.0058949984223022,1.5070286095115126,1.455850148856705,1.2514191100147007,1.8093874251855515,0.9824381169315934,1.046506621310736,0.9834896888907272,0.9304856411028326,1.0293763103996372,0.9865533600619093,1.0765083778384517,0.9679490329104181,0.972871226544288,1.0545867837489522,0.9885466676640279,0.928493446900384,1.0828175935203017,1.228498178910877,1.1077038025290877,1.049161966196458,1.245108299468695,1.3765435986598629,1.1919273585800172,1.132456947253127,1.0503896564888446,0.9442090228923725,0.8874662875002225,0.8370324759136659,0.9038764241401707,0.8924189601209062,0.8264317750396178,0.8537920738206616,0.8976552089872751,0.859722151388174,0.9526812321592122,1.1307590795420608,0.9835295156477128,0.9862144598074805,1.0439208179280415,1.1138850094701853,1.030458077365806,1.0002003335290712,1.5369538532697637,1.5271987570747643,1.165300980375118,1.156729175164751,1.0597989901831937,1.2527802538954511,1.3580468463056616,0.9982407024214873,0.9738307317233366,1.2022359457211078,1.0560735347209862,0.8497109620841413,0.8208717630969399,0.7064728166748987,1.1096387812302828,0.8518769771638581,0.8564079838027066,1.243236790482934,0.9533489666309037,1.2148708458388937,0.9807278568146188,1.0844587256593883,1.3171714741811031,1.3983142705509428,1.2754800734605933,2.4853115603641047,2.8340083110898124,3.7375401304622833],[0.7128220447417924,0.7144601377603651,0.9715586958874332,0.536356344302842,0.7188975469638867,0.714605401980174,0.7633273326906389,0.735070352382357,0.8196659895964619,0.7715258189797515,0.778220375541305,0.7586172965066765,0.7362488849739836,0.7207278572359477,0.7170741465444701,0.686733747244682,0.6848453826391792,0.6039999396258156,0.6407403079668226,0.5495917760106297,0.6136124631298849,0.716744431821972,0.7719900703226797,0.8578515196887456,0.8321534193427872,0.6190810126652029,0.523667389678587,0.49427448163901205,0.5469270413361895,0.5177756200443732,0.6254664149389376,0.5797891495539882,0.6563522462575635,0.5752594779485607,0.5250987066616265,0.531263713932394,0.4925324706913689,0.47664872534582453,0.4367565182839797,0.5044529567328693,0.6464421483367124,0.5956325905257003,0.6430763902535793,0.8163329926287858,1.1131778431120032,1.5309415114382816,1.7147975986181037,0.9696403679188279,1.1191452772571113,1.6263562697324034,1.147488054652137,1.4807323996286137,1.1372463164943458,1.0347748677366841,1.4127239939836558,0.8487287717838032,0.8086122193903047,0.7950434451504051,0.760996869439161,1.1407529743123885,0.7531484204900002,0.7256491551818872,0.6637758348821202,0.7341108834419287,0.6524191491376329,0.6386619777966198,0.7534331791622534,0.6033334452277238,0.7173054614768037,0.9116410671699576,1.0230133222795696,1.2034698661642886,0.9420086308446076,0.8596051021098012,0.7272021751931996,0.8847239706310311,0.6255823889835862,0.623425909722208,0.6231002639563801,0.6172789501736015,0.4815043927130987,0.7752243800012232,0.5886538727668696,0.7661466304936015,0.6404154115296656,0.44301916740304187,0.4662986992456415,0.5622050319965797,0.516878334328476,0.5560475880555079,0.6214763227030411,0.8311500104058642,0.7665487376983512,0.6651318976807759,0.7112099904728729,0.8214080322062209,0.9721553573246368,0.7323981458811893,0.710408464420952,0.7130199178118126,0.6145643271329853,0.625327111668308,0.5039033988312047,0.5313174341191861,0.5936025051693219,0.5197860294841982,0.5421049518961625,0.6451733343723862,0.5365665211066054,0.54241920162625,0.43332632526249876,0.47446201020865836,0.6184567404005629,0.5419915464766526,0.6627885696483662,0.6449293039992859,0.5845847334509217,0.573445656741371,0.6873791183512794,0.6584433861032243,0.7626136740438894,0.7517392106530567,0.7667764637827335,0.7536145269642822,0.7704562384535294,0.7191263756671691,0.7753335861037719,0.5209872110760929,0.4085186406072711,0.4832859313310324,0.6446945170119336,0.6057021819749429,0.6586617612328577,0.5291852502378656,0.5874785132942865,0.47409376515273977,0.6533642590755014,0.5371938633454588,0.4088978090180966,0.3528329418441704,0.4362924167390726,0.5759511931993797,0.46349157760546017,0.39541277451520285,0.5258670539383491,0.43055807871236673,0.448644670488043,0.48203714931268504,0.4970347015634092,0.702846254939374,0.6720875468030487,0.7671913153842554,0.8159906672401405,1.196816382406922,1.0977940789728275,0.6632217657458763,0.6466202446518852,0.6086295744929981,0.4948200829933359,0.4328309615891295,0.38533191147948337,0.3810884444882027,0.36281010472371744,0.4084580229099613,0.4769973756608296,0.6521828480055355,0.7316077449267796,0.9834309818221361,1.0309054755682423,0.9407731215006729,0.749329122486546,0.5009848589128656,0.4345917581196025,0.3333988830505938,0.3156100209081152,0.37294952446223734,0.440084908451164,0.428338214154643,0.3910536759060074,0.34434563842974725,0.6675265612746369,0.3898218512952029,0.5191048059608083,0.6124536231409352,0.5966916076582666,0.7022109374279271,0.8006241537283503,1.0739143944379839,1.8942535536363965,1.2177123034562722,1.5512712811700164,0.943796933444994,0.9561906800887802,0.9390600352415112,0.876508447711111,1.055114880037358,0.9920757548392056,0.9309607345426201,0.8289604916673936,0.9174669385534174,0.6860217233460477,0.5384013681006529,0.4964425550841693,0.5198128974744558,0.4720317010286538,0.48691209654863826,0.6162009602897812,0.5647877184062121,0.5541553684924008,0.8012376849163851,0.8501076244402808,0.8281531148502892,0.9399387109517002,1.1668652797909937,1.1563455311585646,1.039242168102745,0.9795415868626238,0.8545567807578252,0.6975536428033926,0.7107210781331846,0.7078472889912176,1.3789942320518183,0.9090221973097483,1.077592449551005,0.7728933352332087,0.7055903437243918,0.7375059326770766,0.9386749691225688,0.8278035410142341,0.7762840263188737,0.9025630539062413,1.0935854990405531,1.0044174002742225,0.9967921491996247,1.5497359479127908,1.517802575919368,1.259683617864498,1.8411041446507712,0.9135012080375788,1.0029599246114083,0.9097116625486015,0.7301396050444044,0.8308902722323378,0.7370288274618237,0.8739167332917034,0.7313749371848732,0.6659558429849963,0.6718885764679284,0.6159527731184834,0.502596549588168,0.5877587552073785,0.7391098114839665,0.6280968831614059,0.5696766775262944,0.7260153593969776,0.9358823866742114,0.7301991729412692,0.6494897993781992,0.5979982785858406,0.5161786937122785,0.49119008393162455,0.5391055554456291,0.5411818695874469,0.5308788347015823,0.5786184885627509,0.6154957311587416,0.6546082450940762,0.6619037847519288,0.8265321331172165,1.0032901545486042,0.8335076089625757,0.8954982304908656,1.023819190876143,1.0702208143331018,0.9852309334617694,0.887947036788338,1.4966113552858795,1.524055761011794,0.9761459035368523,0.9768169798375997,0.819339805953363,0.9956993027470116,1.280864416089893,0.8466338005014697,0.7748248383151606,0.9586092871583165,0.8557756135195603,0.5379927400278458,0.6143003086749163,0.36328784526039154,0.7679666601134971,0.41174979156275143,0.4087843799893624,0.7976183673398252,0.5407171683093797,0.8503403999369822,0.5751732200919495,0.7938015864075788,0.9228989274265427,1.0932641720312448,0.9941572456216272,2.133708130082234,2.415414486809628,3.514076524379145],[1.1237014217505341,1.1572127816214266,1.333170322913233,0.9490104750694189,1.2053435084232298,1.1229890381327619,1.1191272659768463,1.0559288672815508,1.0792310581829185,1.0025188075351825,0.9891328468836097,0.9608602149795555,0.9450873194896172,0.9225080609263036,0.9251219304890083,0.865461424402027,0.843248186374332,0.770891795033,0.8320053505303309,0.66340873916841,0.7536474431766594,0.7644424629521741,0.9646104506214429,1.0553877214622944,0.9722530087716094,0.760894171624046,0.658566795636441,0.6183643686775889,0.6820816501012459,0.678134380399146,0.7926198461570958,0.734540585427814,0.7885208014764874,0.7054895906478179,0.6502715069932977,0.6447981289785014,0.600710580121525,0.5390266093407882,0.5024786466939183,0.5712960432616223,0.6654731630434905,0.640962023589215,0.7500538119657068,0.9028991522646175,1.2401245718321352,1.6026472289273217,1.9057866882704642,1.1495134704431467,1.1451640561558747,1.7525620183056332,1.383010554492403,1.6996767321849726,1.3213054556910457,1.2009925651789024,1.5201640479282081,1.0330577490150852,0.976738792881275,0.8830067816845936,0.873081777815019,1.3521166655182577,0.9064360461797814,0.8171845242785157,0.741022780659545,0.8583200958875035,0.7867219265859693,0.715935202067412,0.8766149580584165,0.750823150407529,0.8871742398640199,1.0592003393719973,1.1951336072680663,1.404399823847922,1.0744031169146402,1.0293548541763369,0.8728802397398558,1.0376267855767078,0.7359158723017828,0.7164088243550292,0.7005162319192214,0.6902739872590911,0.541500878825604,0.8287367098639034,0.5874590644577955,0.854863282648799,0.678849792185131,0.5060048563044647,0.5192187699687015,0.6496637577875356,0.6131694991756957,0.6630614634303064,0.7296741870105115,0.9103422261555655,0.8920753956644483,0.8339728999989668,0.8872387464655574,1.0232036170797545,1.1713665765187442,0.9003797281163513,0.9038872971240436,0.925359963304542,0.7949401441899668,0.841780320722614,0.6732415816873548,0.7439882993145982,0.7446325981982683,0.7484758982835078,0.7107153168171016,0.6981055999907734,0.7134048575376639,0.873794539796235,0.8664094674030568,0.8505914317930722,0.9651256886794753,0.8722408324150044,0.8934043856110487,0.870805540890838,0.7373656021515163,0.73418111472229,0.8212563539329167,0.8290248781519797,0.9655888923059536,0.9292503569894501,0.9394825701524292,0.9831068373850448,1.0566049510326982,1.118701536519079,1.191748168881678,0.9524394708091349,0.756148518644482,0.6720559384460735,0.7845777482501288,0.754700491881393,0.7545147363920617,0.6328495165314051,0.6691694872363889,0.6228343350150188,0.8417623675189378,0.6316414385697867,0.5686599371776471,0.48446819254273243,0.41038641740431003,0.6524590072844146,0.5637802761814684,0.5012268352175335,0.5348584309941159,0.554866698871907,0.6055912711010715,0.6999237125598211,0.7507706349670199,0.974724550742459,0.9748637149383694,1.0560280204813937,1.0824172464038293,1.4073424965893908,1.2833585923097988,0.909837749333674,0.887876194578315,0.8618379344640694,0.7110221469336965,0.6661410691262953,0.5799725599691844,0.4877496844145843,0.44137059460725364,0.44062308435781417,0.6265222835763697,0.6971649358886984,0.763775531740333,1.0748872674560679,1.0662614251455045,0.912133188430808,0.7525348135403491,0.5521525790023196,0.4811560817091997,0.4361437119578155,0.43199615219437865,0.5042779110055008,0.5655373335777626,0.51938405314628,0.46778345357758117,0.4259676690115563,0.7418690153888483,0.5500432807938054,0.6218232551254806,0.6878779860829545,0.6430106121173647,0.7204006986375954,0.8021451010613683,1.1729108627614016,1.8651000569545484,1.339134327885816,1.6953697725390968,0.9808925339851047,1.0117972442811514,1.016158968256692,0.9976491787006153,1.1764555992454069,1.0650711743066679,1.0467133622749292,1.0055191172713733,0.9758711638940206,0.8982693810467233,0.8197714273128753,0.8046818247059077,0.8922843733570772,0.8762110947028298,0.9565133060521691,1.1164649784841174,1.061438830260176,1.046948896025296,1.303098721907073,1.370816149393704,1.3475806562810304,1.420909195765278,1.6472830979964255,1.6744424026577933,1.5580611015124708,1.438171263086389,1.3576850402359795,1.1984247869405489,1.193416086008954,1.1209723639850997,1.5665256650653085,1.2193479239416214,1.2712557860189213,1.0319080633299056,0.9847425934769511,0.9764887012148674,1.1667140169693855,1.086583761423115,1.02887004153344,1.1106546322805784,1.3066863739020655,1.1837847044517733,1.149783987906695,1.6419088828103674,1.5887568513024652,1.3378170321733072,1.7891154101721478,1.0776443445045603,1.1299768687264224,1.0807941085635517,0.9669519412395078,1.0505964028024681,0.9673895950560355,1.0377285430294523,0.9703465035419582,0.9608132026729295,0.9333703597689854,0.8901750121773605,0.8896614855395847,0.9718769013495051,1.09321911364957,1.076995449270783,1.031938969283137,1.1451820846327614,1.3149304047943726,1.1939669109487923,1.1141258293422067,1.0914273093303561,0.9617176848366772,0.9071503888417025,0.9043782408498848,0.984602051669726,0.9916879061420818,0.9268594521914801,0.9852042193325697,1.056906122988732,0.9985164743925248,1.0957701828030557,1.3167924561683622,1.1475644173480126,1.1272715266304132,1.2583213365622252,1.355948130573845,1.2600803897327526,1.2482194087322216,1.757045774936906,1.7680975979262659,1.4537033989537507,1.5202499500005606,1.3538285490452735,1.5441190061356438,1.8370200824547835,1.4024031746298198,1.230156947734463,1.2306764833703463,1.1050444908958195,0.9565400577717894,0.8463837959631643,0.8181858429300245,1.2500128410623133,0.8365011092631146,0.845396676335637,1.0343919778888229,0.96524389501546,1.2895851143636745,0.9786356856397718,1.0628094476049246,1.3191339552502537,1.4540925435935552,1.2365557994341443,2.3335047291878066,2.5599520813366747,3.600768579890267],[1.0518882950911577,0.9890285978377066,1.2058288643071071,0.850589535035865,0.9904113258616223,1.122102458279174,1.2250436924103725,1.2912641754960412,1.4271000422701474,1.4931279005609581,1.5705681179784954,1.5094635372445926,1.521060716871417,1.5682551883108429,1.5964747576693175,1.5250461869642284,1.4911218791738314,1.4166941137372278,1.3030949354002206,1.1445146740336722,1.0862772880348548,1.0751373914749065,1.0326251458933675,1.0373716381261282,0.9902650492540639,1.0105410915289943,1.0479002387544611,1.1801528112794528,1.2942467555163546,1.3206140788356722,1.4584434063614986,1.3743111032051358,1.4124068359087967,1.347694208172003,1.2765115341774114,1.2418156526720814,1.1951317866820588,1.0729611316485907,0.966020072706782,0.8755638223124602,0.9062921626952362,0.9784495470328877,0.9763202026204014,1.0157903609664014,1.2576417035657277,1.5203787447508272,1.8627176303391717,1.1473044780587482,1.1965200669787108,1.7380431817437416,1.3662780043142997,1.5913441942283302,1.2371437126289162,1.2137732064640585,1.4879184697338577,1.062873716255033,1.0457413967537814,1.118867486168557,1.0400959033849562,1.4313861097339933,1.1255183813573661,1.135073828714201,1.1518190518192855,1.1859043799851108,1.1027437726848193,1.1010494406036961,1.278134304439785,1.2818008280458382,1.3809568325247652,1.6074379337674036,1.7090095385320263,1.8245151888850728,1.596450503514505,1.4524154923377073,1.4092700984064492,1.4939474322784818,1.2337069989299008,1.2402566289062709,1.184536453235587,1.139005762064841,1.0198049768527655,1.0643813631075512,0.9668500665314103,1.038979159013373,0.9671824751350345,0.973846704207592,1.0005582883480504,1.1433401519778104,1.1489299672388766,1.2441726890856586,1.317259189716069,1.4320611231725744,1.4982296195606155,1.5094323348901815,1.559476606523427,1.6999048691208387,1.793808746342825,1.5365710642500992,1.508823071081793,1.5066939310964678,1.388462666038165,1.3033928561353554,1.2330915767991402,1.105908962400814,0.9519189188053676,0.8871467504080124,0.8538263172804518,0.7750608437758519,0.7328638565425523,0.9267676432014391,0.9064050886893922,0.9995952692973625,1.183997297921642,1.1332113993357658,1.404154860737317,1.3722337766686492,1.3628741227459946,1.2704089361518707,1.2411150153670867,1.446875792755612,1.6250382358588789,1.610090742571594,1.5551270438620524,1.442632847886026,1.3466571139219352,1.1765809902890654,1.1576673754204887,0.8895175574422653,0.7271940436659832,0.7027188515830869,0.6286867830560531,0.5989261539409689,0.6159403445285717,0.6204755031541078,0.5898746307932577,0.6221234273635671,0.6668805450121765,0.5827147958018587,0.6487957231716545,0.6754487993631365,0.5142549788958571,0.8164587458670651,0.9004985667207882,0.9029324041432268,0.9007689420678359,1.0839223372106397,1.108410914383427,1.212519901673357,1.1515085593157512,1.3268884388969544,1.2629022097886689,1.3936115969465284,1.343189467551483,1.7294347172770586,1.7883083260711488,1.4553228665478488,1.4531195254097158,1.2701413256863507,1.2793825100183895,1.0516088498888536,0.8936344130482984,0.9762755172157345,0.7952361157507927,0.7826667031725462,0.8340874784871446,0.7426200179353655,0.774973580804532,1.1223109510247793,0.9994161885614026,0.8486296099982623,0.6812570378582969,0.5719161064421648,0.6189111008887144,0.7026278783469494,0.8254562920614232,0.9025596899630596,1.088072947840628,1.0126524436567592,0.924854420793765,0.8275714454908801,0.9900701178983049,0.7061831087589626,0.6698311185836545,0.7117197131191033,0.6701291274414392,0.8890661066112282,0.9940844538913075,1.331225134213794,1.959023615096683,1.429850630497428,1.669710712671118,1.012270269593192,0.920762152629435,0.8858096456441857,0.8253365092248487,0.9700282654463298,0.8819767318066766,0.8463630366817351,0.7444023741920864,0.8541312402762588,0.6812981971181438,0.6654095905008504,0.6486714549204046,0.5939144109856629,0.6128507118104612,0.7413596381595768,0.8243716050607456,0.7470658887477194,0.8074735537847189,1.0473504336165376,1.0681314324369269,1.0619003468962376,1.1994282428403686,1.3865170004578775,1.3906729341742976,1.2521890295095612,1.199189473326422,1.0415763793565884,0.8615778665206592,0.8751628028549852,0.8381702520252645,1.4841139556811704,1.0272735509396784,1.0228906352391576,0.7641629946813566,0.7202675185880453,0.7655193010420202,0.9427537176448909,0.8128476135600626,0.7434317218092066,0.8661099671526015,1.089169822422295,0.9693280990400642,0.9331742509058325,1.5108367372601754,1.470841936358478,1.1902910092541967,1.712807109204095,0.8239137118450803,0.9703368010466942,0.8853891347363283,0.7580308118956245,0.9314504624570916,0.9146628917247855,1.102154761684658,0.90248699579174,0.8773827001614833,0.9722297947066215,0.9429554407426693,0.7718578183923331,0.9226523382808854,1.0922434580637854,0.9563712604606459,0.8733903956037438,1.0540320555846139,1.2495522660440428,1.01504646427085,0.9217873730588693,0.8294411904360408,0.7160728478027072,0.6677955354981401,0.6296365023328385,0.6654312138469941,0.6726473598965313,0.6136447607828732,0.6626035853433591,0.7341033706807965,0.6738277074274637,0.8002700075124377,1.0583424166485278,0.8659061972370596,0.8732726030836047,1.0420544718630382,1.1476330047018686,1.0411103177326237,0.9878264196301675,1.65165765826945,1.6044899756741229,1.1680012297331182,1.1857350913765876,1.001663607551896,1.1848010879404303,1.4577425347922195,1.0316437838284858,0.9271877017611752,0.9744043691894037,0.8357257848040576,0.6373481749181207,0.619294235241231,0.6444691261367755,1.030327668480667,0.8279577585643548,0.8321241017318551,1.2936074376141318,0.9937430564327329,1.1480977993930086,1.0178347824473577,1.181817288591471,1.2529311330147554,1.3944904069309143,1.2873391413832331,2.330986000439034,2.723857684695364,3.7151030388878405],[1.6644915319757037,1.536429398292239,1.5556224583128737,1.5982676392115933,1.4179050794968293,1.6820407487376765,1.698195529455884,1.7536327282733208,1.8835836309293077,1.9294457509844656,2.003094601696194,1.975975708836741,1.9536796584922145,1.9883319518084868,1.9882113015411051,1.9519859397846675,1.9148997271353159,1.8357560169814573,1.6763911435974144,1.6525977047658982,1.5569288119662108,1.6482666576921587,1.4998100075149272,1.4018515521860402,1.4359913374392206,1.4874049712756154,1.5554294981414172,1.6724777030576898,1.7633338703770158,1.8066275112705454,1.8683454643707655,1.8465954888693277,1.8497412360947352,1.7916804693155752,1.7632777887522215,1.7280944886237903,1.6980308233578745,1.5972132487021538,1.5031203251595495,1.4458270223990308,1.519830039828661,1.5813273166190605,1.6105621631706877,1.6335790188434143,1.898655966955735,2.066176895300483,2.2087279951541157,1.6730924953514434,1.7559714316506565,2.007632331611104,1.6011065662851405,1.5268782920339214,1.422889115595915,1.4801629339910338,1.6682923343997567,1.4629125895904296,1.5116548097204772,1.6302200005834913,1.5577271142116773,1.857496856555204,1.6872716737306412,1.6642515444475687,1.6673252973997388,1.7133184360485805,1.6750738756840704,1.6302009812821552,1.7083238476071665,1.6932582032206214,1.706297599341399,1.9014304482228594,1.9934402338759933,2.042675050008983,1.8972843258436003,1.7414302093654113,1.771760544042146,1.8049764641957724,1.6894260766039089,1.6938228497134566,1.6677365675397167,1.6698791095575163,1.5279233162127415,1.5485143610611147,1.5077204344336477,1.4678624318486033,1.476073162455708,1.5196631293077758,1.5307994488032122,1.6446117931146418,1.6670242682840328,1.714725321026931,1.7680568113552055,1.8228119405310457,1.871902167988641,1.899183589535748,1.9555955498751725,2.0567945234441654,2.118811066389442,1.949474639983115,1.9526445916933937,1.950374601794648,1.8696513116073894,1.807752871870847,1.7494305651850723,1.6159178556434886,1.4818046669772587,1.4369426664685883,1.3961497724784044,1.336263635221841,1.3667972767100975,1.3399109334025197,1.4059683486064312,1.4391525280010802,1.635056746034753,1.5680731681756055,1.8384738939901544,1.7844527449380896,1.8004506295201412,1.683143119151219,1.6142877104974842,1.842941742890389,1.9780028166282186,2.007558067324245,1.960503469702354,1.8756538876096829,1.789098992366281,1.4970663002710605,1.5154677013680191,1.3283964273603235,1.270330597408156,1.259577955237506,1.10103963378608,1.048908699720353,0.9848345318023969,1.112739765967657,1.0383218095534568,1.1219011973724884,1.1005662725712246,1.1099678753554267,1.1919930746476832,1.17104233524917,0.9582931452487626,1.3570922461998156,1.4383465243533948,1.3928478127099087,1.4463038108728556,1.5961551360765174,1.5976724638971653,1.6927506488847552,1.6295087116671751,1.7743451560614618,1.7065293694123507,1.878717122438109,1.8303176167514312,2.1678668751620487,2.171048088093878,1.9256635776140851,1.9133580528316028,1.738836287707437,1.7800000932898168,1.5781855664783946,1.4347423778501343,1.5080920949242818,1.3089947331932839,1.3345336224026265,1.3057546436653829,1.1100133692020242,1.075246734912476,1.261375406727958,1.1492378044688811,1.0638159817504653,1.0078569441520446,1.019375057462562,1.1263352644326263,1.2467899775012408,1.382402798302212,1.4528299101038662,1.6168129321313918,1.551901151159083,1.4747342268830497,1.3954723676189176,1.4638297754576688,1.2446446495797219,1.1241497027447065,1.1338674566304725,1.114728355829472,1.4215884120616729,1.5452956279768646,1.862899027967985,2.342911088878189,1.721540236402367,1.6707824521525483,1.339571263707275,1.1538974514688631,1.0840118307421385,1.020293510613172,1.1104524332400116,1.1301781372979642,1.156688876286405,1.157072301237304,1.3950105914388404,1.2218604486293803,1.2792926092664993,1.2727217658245993,1.1550439469694644,1.190218039948538,1.2566977994987103,1.1828118885449748,1.168617652547397,1.2642972292462786,1.3445860391584274,1.301358806276212,1.3185400682544708,1.4474928463588872,1.4990454165086884,1.5000256067878013,1.4156030210865278,1.4007327232675435,1.2609905860400095,1.192891312948536,1.2316575275101587,1.136702410099381,1.5385819909270781,1.234911256763212,1.5311657778976577,1.2739009160669001,1.169578391771432,1.2380641612410292,1.3059558107556066,1.1770986659742084,1.1588277687256643,1.241253660347184,1.3291213049002788,1.2591402804726193,1.2483367304170532,1.6902566182602865,1.653947266700203,1.4373300015550456,1.9444719022332513,1.1932962548603154,1.3244681234237021,1.2540421262782409,1.2548230084091787,1.4005616920079706,1.421407889170325,1.5594434623992253,1.3841466921903427,1.371921588406988,1.4947701577614743,1.4794806017064919,1.3446234198068534,1.4254732816594848,1.5259811200838227,1.4112920518619314,1.3441161337134764,1.4890281176660947,1.6067235642005404,1.3930593015829205,1.3400132376820824,1.2303400574985035,1.2329386063184082,1.2185128525972293,1.182434981581318,1.175190464614149,1.1820031810641545,1.1343599326041827,1.1244582846658409,1.1970528985946698,1.1404453712724092,1.164332186820501,1.3909911547272833,1.2622822554156639,1.2140336841898502,1.3129859688711962,1.4018648676959862,1.3603571886269943,1.3420478233522108,1.8447367669932193,1.7571201151463374,1.3466222968947499,1.3325949353430793,1.2476109927642036,1.347724868899396,1.4840582621333256,1.2498424994281823,1.2351102944805459,1.347808906263783,1.2925786615050103,1.1652817947851233,1.1916366956768778,1.2001754199372463,1.3431508161059382,1.395757610143412,1.424521061602875,1.8431735234240971,1.5183417290547114,1.4811813062922763,1.6121614554803732,1.7096189169524272,1.7015875201366426,1.6966382665005388,1.9040425558218432,2.7067768771265537,2.9936932099533777,4.159327414126237],[2.5182279047174103,2.394332508608822,2.376532879098807,2.369954779157724,2.1533772650032743,2.5209444164602473,2.5620605035453927,2.606800605406821,2.716335390666766,2.795138982161396,2.8683311080136136,2.84565208046016,2.847592736742025,2.8711457293697,2.8540562504286964,2.8585621853732235,2.8547115895828683,2.797380802272139,2.701066587606007,2.7144944802266413,2.61289570656229,2.7294278786606965,2.554244175612122,2.4689335479611767,2.539728542545128,2.6005882528297306,2.7240174318073667,2.747897328238855,2.7836568162736866,2.797127597277577,2.7791507326186187,2.8020181656102245,2.8102706045857673,2.7702875667337103,2.7690398941241727,2.7657925186161285,2.739342891618288,2.7170156429518864,2.6935332962996728,2.6745381919021844,2.713207097477512,2.7732326062729826,2.8162560774396366,2.7691180157089117,2.8768188846069616,2.8817034931645122,2.9738601296736435,2.7232363887150544,2.7723045811692693,2.8137986134243222,2.7093233566854233,2.5050289135530748,2.6127151186641013,2.7223549942014245,2.895212399000309,2.6858466288649705,2.7310662217108224,2.8395127427292706,2.7621786372199812,2.9790533506689707,2.8036042863657697,2.721824699995641,2.7053095358062484,2.6829932238628658,2.7051314299096108,2.678561598340678,2.6466322541040683,2.6523863077794725,2.596519961183517,2.7115389375087444,2.7302544719495403,2.6623742501429093,2.6546685144635407,2.560984724812749,2.6574224512270215,2.628345767441566,2.7091894963220993,2.7174615455723257,2.7483482015919742,2.778795455366277,2.7160574062281317,2.759808850622044,2.666634246592465,2.583318678964754,2.6174483720502346,2.6506134309441447,2.7417552331377912,2.798181182519802,2.741756844162574,2.756608534403567,2.7356687275028744,2.6971686059570987,2.7252539704974996,2.7602767171957563,2.8087577127311882,2.8389340526472573,2.8946699401334017,2.843105752026041,2.8531466893494883,2.8042181300555646,2.811487106522111,2.716231450136559,2.756522050662134,2.6021172648947055,2.526099943734848,2.4008924938268317,2.3357984237045613,2.190801272017374,2.16113226055285,2.154753384221677,2.2294061071334785,2.31827705792472,2.5243346661839925,2.4852672184901263,2.777763317987108,2.7594711584220657,2.796924688495635,2.6747941531874537,2.655109421175869,2.776941724925543,2.8617290386500387,2.908008506601465,2.9045075795111277,2.80964364859121,2.6762518532248065,2.3512109692029344,2.3342179051491003,2.1647070614099952,2.0602165146070344,2.1584270342739935,1.8318553798596613,1.8750776131486429,1.840923624705809,2.0952615852748306,1.9208632474820067,1.9997044600384115,1.7328214210826536,1.8609869010230438,1.901937421694323,2.10872028337527,1.7508520967457974,2.3342920919372427,2.5797492493626644,2.4478505093288074,2.5831863192861824,2.681425858936096,2.6299129185519075,2.6886777364223566,2.5928457223713126,2.676969169669304,2.593472257059169,2.766517411177051,2.7030901638099976,2.9154741300982594,2.905098247706934,2.772449866348777,2.783333987836031,2.6641378012214867,2.724209877247392,2.5981685385701216,2.474959081390215,2.5915204006421027,2.376071978312577,2.4299099477152195,2.3206382970312105,2.0070130064346223,1.9395243466919645,1.9049480227499476,1.701416608593874,1.641466232153674,1.757913955425713,1.9123087157026069,2.1562575839746088,2.318812039813661,2.458807260320137,2.5354882686055404,2.7192026204166466,2.6368681621063983,2.5634928331348195,2.4949277011246545,2.4570105345577065,2.291203287050943,2.1669489243510545,2.157898744931083,2.176011150476933,2.528989746164981,2.695181162301886,2.8778228461488484,3.2267173381485925,2.5578739871470355,2.513391924381727,2.187510742413568,1.9687963840775136,1.8342937102615287,1.776832409766497,1.7688937037961794,1.7356277433866416,1.7595957948899763,1.7403664536753394,1.9777187655737827,1.8576719080745765,2.0326677191475255,2.012634434639575,1.8530904974205618,1.9248655731633522,2.0430555199619147,1.9488854703936407,1.9339598749537066,2.0697009296249362,2.158525085640341,2.10182559543791,2.1323001737170078,2.258745075041997,2.313117161324499,2.3079804196558498,2.177996890265022,2.179988593614106,1.9814113094522077,1.9298767980781033,1.968017357221484,1.7924211273943549,2.0031603927494976,1.759157406090247,2.1305204127750943,1.8696221318643194,1.8039848091126534,1.9086543344790419,1.8956249768889066,1.7582147120668257,1.7708655115980327,1.883272241065702,1.8586843774606505,1.7459484641683847,1.7416341736930006,1.9870039913900728,1.8683784230961145,1.7738774108953648,2.077604955792283,1.719792731318836,1.9442280133886427,1.9365597230997702,2.005752568066387,2.222136119287022,2.188394713773719,2.3629459863378792,2.2100325504204745,2.1682883708838347,2.284607985680104,2.2677815186292287,2.1236664011374287,2.2187449899615586,2.306555287082897,2.199588050471411,2.1270390026132797,2.2858827391360874,2.376831583859995,2.205933739018877,2.1417446906675774,2.0247041331184987,2.0035520166456786,1.9830266713245501,1.9305615369969484,1.913722198272332,1.9266329891807623,1.81964426244779,1.7660851986821764,1.8585694856876795,1.7608981803992154,1.6839303876122413,1.8746846324490571,1.8353975892051968,1.7110874640478808,1.7856669208223337,1.9296325972591788,1.9042156601728255,1.9223966710936933,2.210130985749595,2.212180266025597,2.0133618299220846,2.0485840692330384,1.9844716590290177,2.144970264113373,2.200527206286054,1.9320161105999338,1.830845937006434,1.8257078000928406,1.8060552663309573,1.8105857681683237,1.8475576422933924,1.9699429517864744,2.0228761887553146,2.173117827196563,2.2139528537267523,2.5705887846882223,2.302644571080369,2.24778210617124,2.4178532257863234,2.4554521371835345,2.432536338313187,2.4397936030890057,2.731726027571125,3.3332952334838826,3.574598553026567,4.545869451580004],[3.3032632218666818,3.027310733489106,2.8183163337451758,2.960890438704734,2.545892380164221,3.196940232861416,3.21224531077548,3.2913254155398195,3.658026649335289,3.7369387851511546,3.911071170981746,3.7834739320197506,3.5953312849038905,3.8955146688390885,3.7955969983546067,3.601111630462073,3.472940740506717,3.4027004551400655,3.3008023061673892,3.170895727624204,3.2055315374822215,3.283949997851413,3.228447529431431,3.238992720082882,3.1213477447178546,3.1265799365850606,3.0509115960032855,3.0644822640509934,3.2002790473442744,3.250114069424152,3.470357935923754,3.3690602111020067,3.4397744849151035,3.3374077001232925,3.244164086241597,3.2012710569290665,3.105961366366986,3.0361556869969073,2.951618122582678,3.046897801252845,3.156262239123976,3.187758735839589,3.29982638928057,3.3240779075193507,3.568186395873923,3.5356089837605564,3.6183980940135783,3.405657483410261,3.247537575837787,3.288004121777411,3.3179095182920397,3.020595779066046,3.1346586393840625,3.1268082774298676,3.255224087792687,3.241567669509826,3.2551022843422124,3.2563662635933674,3.2406521110248727,3.5465604656296166,3.347780439227669,3.256191436491903,3.215115994559195,3.266933619993294,3.2950363349864333,3.2121206289260407,3.2729733942877,3.2604590942054403,3.3362736333207765,3.548873911983113,3.6254745264614026,3.670372442097501,3.5329686861328113,3.3210810337316885,3.368414382789913,3.2664636692282203,3.24034536808867,3.2337470281148906,3.2066650156608705,3.202409077253033,3.0606639961382376,3.047175710377235,2.962438053842984,2.8285406933255355,2.824340974563344,2.915403002776556,3.053521085937671,3.1071255313221138,3.157733041694314,3.2399544114607273,3.3104317805083228,3.3199877326871294,3.44715821603923,3.5364716636105995,3.63734075777488,3.8144409122306246,3.9323455830301466,3.649577672774475,3.6436346119399667,3.5919569467631693,3.373779444341647,3.225467857284405,3.098432379561083,2.905106649191427,2.6988747010859253,2.607050645649032,2.5304403117347296,2.3772155666481116,2.3853192633311955,2.4607158703961765,2.5767850433955393,2.5852630842792146,2.9461503601302015,2.7564032060499133,3.257646983334742,3.0323189619254807,3.1583794787742394,2.858041128484104,3.2933654730098345,3.4487628402269306,3.7369104206861525,3.8408006589371864,3.617625911478518,3.3728733336699754,3.277647641123306,2.5790095902175834,2.7224289402145243,2.389229471660667,2.263820112470113,2.324878020804908,2.0802241218594864,2.175505150071666,2.2369660520480688,2.3605352165162503,2.2079381402773666,2.1440191978219825,1.9570019442998468,1.971335260605574,1.8708521604365986,2.1245128827813473,2.015885466590235,2.903017629772638,2.853716821187374,2.561891051694397,2.763758268736141,2.873723647254447,2.794019173393859,2.9717417326883493,2.8871564331946913,3.1762057293255084,3.0775302761005396,3.455359918722059,3.3260125589080993,3.77665938443797,3.758974609916789,3.4360865461325782,3.4029740593816453,3.146805103787071,3.1491544374088116,2.828987207707346,2.6270365062074394,2.7674886310508238,2.516013828197914,2.6892147754829243,2.8693237728807217,2.6612002851233836,2.6531301789908883,2.882923086510487,2.530232573131637,2.282067745324495,2.2415667602936393,2.181755166381288,2.4307939986657403,2.5350354117193588,2.6645426751080232,2.741442423469798,2.94962626711121,2.9096182404160764,2.812644271103663,2.749078166564118,2.836979589984494,2.4864888652227966,2.5179254753244593,2.655037180404534,2.6488493077377515,3.112863425878634,3.2106270869412805,3.6311464407204435,4.136874244679972,3.5770466392982114,3.425007887393163,2.972364545653458,2.8066428592462693,2.5594085821979515,2.421877115004487,2.334902030267143,2.146121465030533,2.123164152521935,2.0754652600328822,2.265015942294783,2.1926888036629406,2.332624727300707,2.3154333772753684,2.17518572713622,2.2613477740962282,2.402960840689039,2.287596742638327,2.295940969447989,2.479040596716705,2.582629611130695,2.509594848483607,2.56604226541865,2.7628020296582405,2.7730614745342885,2.736428759388208,2.5664498228971824,2.5586402931867296,2.3496420545234997,2.308743135203818,2.349810004116163,2.2648361556723,2.510421888343922,2.236682809181068,2.3866062888006563,2.2432002593988565,2.1871318491759766,2.2594271751595674,2.27537756773962,2.156609486923376,2.170931452935993,2.1857360795787057,2.2002922448602527,2.179899100144957,2.165309957092679,2.4812775118099752,2.455111949762172,2.2875475284539206,2.618815079991346,2.130325410820322,2.2565947035226865,2.208504517327863,2.281204143686838,2.4632104135885893,2.522781674615086,2.6745472360393348,2.4901698131197323,2.4954999337205583,2.7046687548630626,2.658844228443228,2.509199929297762,2.6814136323672026,2.817310901798913,2.687838105756801,2.6164154281457765,2.815627669787583,2.935468848881674,2.6898706618712764,2.626057309741714,2.4647152117217144,2.41752716754727,2.356410266595824,2.2621666346462193,2.3074453915301896,2.302709284976405,2.173896888181585,2.1828989379754065,2.2581528996223916,2.1602095226754563,2.152616304942619,2.3073408999812437,2.275409841138339,2.16304701471445,2.2254673409112904,2.324414258321099,2.3014278956355967,2.285422692518203,2.54213710979646,2.435975772010511,2.3517615346014757,2.384836411356689,2.3545040375803703,2.5176417441169976,2.505318378075215,2.2771056966757857,2.245425846606968,2.2385243988186136,2.156561214047604,2.119675635754177,2.129692929697641,2.23199666243007,2.4249763433598623,2.5857091864636477,2.658508826524371,3.0931390175928257,2.799639708820888,2.7503741399791775,3.032568333396625,3.1239126750290955,3.0844564902419678,3.0786322919341593,3.366357591608117,4.14381856527864,4.430923511806487,5.422534396284017]]},{"name":"Protease-ligand interaction","means":[[90.99194877233921,88.74159469470847,86.56230318790726,84.03402118211444,82.33392156344571,85.87466764311046,84.60544730812659,86.87319621096582,87.24586369118569,85.03166382404817,86.98495535253532,89.31606792727489,85.24610557894317,84.65797134915218,86.76188466591752,86.21459476800041,82.60795046201773,82.68783433648073,80.21408956539193,80.0790804924913,79.45803145099764,79.59285923631957,77.71068271620494,75.35335767796737,75.05662445857632,76.27101369584958,76.40815000053345,78.21919328942948,81.37111795933019,84.06497371431982,87.52518755472788,88.39919368516283,91.81538179239797,91.60079436517415,88.3591726204082,85.00118945244243,85.1742822720197,80.67478413442866,78.00827651982547,77.7442497355054,75.02516696366226,77.4515532034868,77.48317285716756,74.4335121908793,73.50752046117185,71.02745745635768,70.74020749548333,72.81515353719676,71.10663701193205,69.7167041378697,72.24891884979344,73.24093278381089,75.7344581758516,75.36733928937566,79.8032989260156,79.59165284641922,77.98453405221095,81.25876013051646,83.59570579893645,81.13641256902378,81.63533889688921,85.64940104981393,87.33424848369813,86.61917411572203,83.19812879243143,82.97018857659143,82.80751416913448,84.0578945429792,83.08583834579433,85.25428162641136,84.31224791317571,86.09939821539125,87.2956434963293,86.0921739989834,87.34004863545572,90.4376753598474,87.34199804798622,90.9604416660722,88.36702710012487,86.14142354664689,86.20121489052343,82.82376096574744,84.38811534922876,81.0177249260078,78.70697516874114,81.43771322733484,81.91218348237639,86.01900732670903,85.04855911933679,90.28150099764922,89.365995294505,92.34694393978668,92.02653873104141,92.55828620082491,90.27569465936278,92.44754783555476,90.28186105482506,91.60367945813525,91.14233133143767,94.3194494645492,91.0732640563769,91.18045305698233,88.31847311331283,87.73990592855995,85.37754980533468,84.67346590818728,85.89288151110205,83.64516227580438,84.07599068662824,85.6748251141591,84.56695378612456,82.37981455777113,83.14185860694226,80.21676046650194,80.93867805777259,78.44524771378748,78.37001306465477,75.99625024209246,77.55784508715426,80.18592960023703,79.98626059106208,80.887360639649,78.69388817052835,79.58141758801743,81.21013549616667,79.09862342725091,82.45214674884268,80.51472111604951,81.10159832592724,81.06775387043355,79.51553854740985,80.77366713753926,78.00110237126411,80.11595502372099,77.12125798968715,77.39058413438465,76.84761046696477,75.62987258992219,75.07989281237374,74.72372294688876,72.83016577811688,71.7481813450668,73.97043801256625,74.76203614390383,75.11085901694372,78.25255045658467,78.18768903545497,81.1446364897046,82.44477334705525,84.63528008086418,86.89603273214585,89.55791956238609,92.54766147638573,95.45424490936604,94.63021042207812,92.4015717946293,89.25514862882375,88.34797468988309,86.20526207169802,84.32106556489153,80.11166031195751,79.7152002600828,75.946773698825,76.12741694422462,73.84362612318213,71.83341737293175,72.61048269523208,71.0739497246107,72.53658417779266,72.68544686956841,74.03819187772733,74.50966506519197,75.70762534831105,77.91942977474413,79.98812904915557,83.16976452676414,84.00364312744554,86.03186196681497,82.06066649909548,82.86926332477884,78.94228815346952,81.11894191097726,79.39847387402105,77.80624931597869,76.07229256885415,75.18558169226499,74.76713416694152,74.21106763923545,70.58622638590238,71.62100977099618,71.26346054591599,72.81839887284053,73.55286947914675,74.86936813531476,76.47153857139452,77.80296536874432,78.23137413586383,80.81652358661,81.902134598373,83.605134659324,86.14378557236958,87.80204157095577,85.58817640757124,85.5236121662725,88.73623483269688,88.51446755241686,85.44302776961877,88.10326508018584,91.71766710415719,89.25945971868028,89.03244304735814,91.85341669738229,92.27812508740796,89.87268296859999,91.12926388348747,88.91130400289194,92.74448545142066,88.13246835047539,89.06206771228025,92.02145984752252,92.53405086626539,95.48137463817838,94.77667098097136,95.74431103739781,93.73755339584699,94.56201874259736,92.89383874116142,92.99813576301139,92.35213277026061,89.13870491294219,89.18914423887438,88.89506992580677,86.91749882257835,85.48708624216876,85.20603818722007,84.26030615938816,83.07557320664203,81.0967808575448,83.16780664688964,84.63398629538084,87.11198068625431,89.8416836411189,91.67984891885513,95.52001960242076,93.82236750696859,90.80652539357995,94.40791586262738,96.12771060152303,92.77246525119322,92.48855506992093,96.00408850774392,95.9103662100734,93.50493237528276,96.18579948446649,98.22597656487193,96.32642337828388,95.64971690550075,97.76319545310521,95.3610525869957,96.0118222649462,94.03456238163024,94.6407971333436,94.85602525241089,91.2875320020202,90.96888461676781,91.40455887429282,90.19935356151368,87.3820596417004,89.02906403984348,88.56381604616381,85.90488834195718,84.8006310727806,86.46287903865,85.71158853327897,84.05376959235984,83.37055236319681,83.11279130909708,82.44302075983353,85.6762303249033,84.24749576779992,85.32042433112697,85.66437184888305,83.32921774345736,82.11242816084679,81.06784737452831,80.35013045986003,82.60627241757811,81.99312124355154,82.09041261596492,81.69070736166563,85.00730013662783,87.23646866028997,89.87910775227134,90.4999480488567,87.61819665778494,89.76453506454678,92.5140895588927,89.64871504905237,89.01125572833597,92.20292352389686,94.21292211335054,95.71255091103751,96.34785964141636,97.15635461160278,72.24259060284412,73.3994494759483,74.89551884990516,77.5733905371771,79.1981172845414,78.37740243865404,80.84856045639077,81.14370567340538,82.59021738681068,85.67772965905064,87.00562572180792,86.28907762121031,88.09315178205688,89.04575661571737,91.31576705718311,91.39441374495935,91.94914060002422,95.29729708599953,98.38152295346215,98.5282847290354,101.72737653182135,103.30887303940968,105.08357993264545,104.83279352498066,101.83134154093986,99.8655233484343,97.19756072765026,94.37993106507187,94.04545980609076,92.1418512521411,95.27780821779089,92.27387537019632,93.9970528192554,97.33355230319317,95.81351368417542,96.21370008718968,93.55956299024038,95.79409035186266,95.45125347818073,97.26417400935668,97.49207193936607,99.57094386808916,101.37840244470655,100.76053299999329,103.20595979610204,103.05329622565277,105.40295923381916,103.26662590135335,100.32907849193879,102.91452434944014,103.28195943282499,101.57155690264324,102.59965245652027,99.19141679128553,101.3712698829066,104.37389950528828,102.93130380510982,102.51399018036645,106.0832363215119,106.99099854113025,105.58852728356597,106.40607294999403,104.86209931060688,107.93093480781131,106.33698941549274,102.97210255272225,102.99943169752434,100.10404871446111,99.91468436777599,97.68928011735177,98.26576861677569,100.46611535500543,100.47458372831625,103.12968311403256,100.81598865351647,104.71400464566605,102.79798880330806,103.30719045334358,101.8160116047378,102.14985425972787,98.96681745150617,98.14679887229886,94.7047346372817,94.84690950274327,94.58321137675634,94.48826503222246,97.55074632833397,96.45873841185039,98.87319123597754,99.66232602827863,99.79023707979981,102.44591584143075,99.70531511153156,97.11719710056664,94.29155994377498,94.59595395062777,92.14049468762276,91.33101006201025,88.66252374792295,86.50229592078453,89.01664744512101,85.71777719273156,88.50380114944147,85.34591828619372,86.4044539381832,84.05936235132867,82.84975279513954,82.35923563639636,80.60613522514552,81.10152722848898,80.48988292474161,83.31561542438023,83.1330235271257,85.50920693653421,87.73126145984739,88.94316427946666,91.6116328236919,94.88073568519198,96.85039615621058,94.61830742011942,93.55666215092853,90.96140392858037,90.02962894962471,87.49424874105098,84.81741698803651,84.75665085463653,81.2447377432104,82.74419169165732,82.00113168915337,83.78955371921313,82.87876534286599,83.18664526300233,85.680097508129,85.92141449926584,86.20011450681157,85.96753796163722,84.44221103454203,86.60158989613677,87.91356404344337,89.69161319167296,92.77201264123704,94.7965952859692,95.23679515518671,93.61071876773724,94.09551090125213,92.2917152003953,90.32904598014805,88.59034106892373,86.40621527880765,84.54222322171357,82.4926115634108,82.10508294818119,81.58406353555722,80.46522742448576,83.32819407777097,84.33860802485357,85.49245197070059,84.46072557439007,87.30738072238972,85.54134223326291,87.51074794985192,90.76688661524081,90.74840235383758,92.64344806883484,92.24209602085725,92.34122531589799,91.08384021181315,92.61781821418303,89.78777449082503,89.4472990288762,88.28123073885703,88.79574289155859,89.66099435580425,89.59850696568381,90.18210827621444,89.21623840935605,90.13150879577495,91.0260404090429,92.06288492006435,90.77479881363611,91.00981845764927,87.31440470721653,88.76728136857322,90.21406883385731,90.54140752292751,94.22764074260523,95.67917989539207,98.22491968444753,97.13235203250407,95.59934921508575,94.82529809191563,91.8881085721831,90.63766968881191,88.7130788754291,87.15793210079468,85.531300104368,83.77226255378018,81.92333011852497,79.87917465806723,79.37920693389299,77.35509921401803,76.77934849097976,77.49426670666459,76.31324314555476,74.76106399368277,74.68517437214958,75.37620302938583,73.79038572077599,72.47044028843766,73.04700322606286,72.62424957786736,71.18976417378796,71.24804891164733,72.08600628754847,71.07944087838773,72.19954068547449,70.66376759059602,73.13562621481387,72.79633088714844,71.5689187556582,72.33353214173457,71.06712834948966,71.83216901971237,72.10077434075058,73.62853422656262,74.5593065350405,75.69612433938248,76.74358511058009,75.8060995456691,76.17397877756441,77.70386431955062,78.22723911523306,77.69759490958009,78.67334722073268,80.47712939989435,80.2020911165289,79.46134690908502,81.7516809248175,78.88999294175451,79.92185528274449,79.01124536979513,76.84064226224163,77.48854698533702,76.14457698156595,77.37864431326467,76.93226693924647,74.61167460812332,75.15739414416107,75.77834483029827,74.13986459842799,73.00526116250498,73.01277925222024,72.61609945649559,71.56799113212821,71.02409084464756,70.91644574516279,70.48281113824949,70.1130992144638,70.8071755392247,71.56160530598758,72.9958065423711,73.14127445486969,71.80328295951175,72.80624772283363,74.10108885238286,73.44142255976958,73.25227688573646,75.16596819408376,75.21789716111049,74.61043579339284,75.48309919033066,77.22082999049707,76.74682661897197,76.51356752092616,76.85673744529255,76.61143500301401,77.42030936918843,77.49692015197975,74.99031740766137,75.62798587019051,74.77698433756377,74.69698878070425,76.38690653826869,77.3175737291348,78.27999190962387,78.91927326107654,77.39747374144461,78.35050795856101,79.1896252591462,79.75922212225923,77.31243381401487,77.46917718579772,75.74926988822587,77.0062156077522,77.12335873898051,74.50885246823913,74.20355402231603,76.65484038084517,74.7786290896111,72.68916351396898,72.9255216588627,73.88030395190408,74.8102015671486,75.41460250777507]],"stdvs":[[37.12502797711729,38.15194894250156,40.259562666601084,40.22995014026974,43.68310813557771,43.33826260059433,45.40023567380876,46.759413071002264,45.77225528761504,47.126782074591205,47.21951989931872,48.107618769499574,49.8952856182519,47.998596053360906,49.591805491943305,51.25133377597441,51.53180014763889,52.773873417713645,53.041378344601284,55.34277701237633,55.821672875599326,57.861343663568285,57.10599403980834,56.35495027280069,56.86858344854678,54.85079592505924,55.50672789362862,53.86139060700145,53.997557251134936,53.62909270413547,52.78288897079853,53.32776070303634,53.309475227589516,54.6057671714254,55.305622831932126,55.38339532649995,55.6563577797268,56.85246905829976,57.2761009592876,59.80997530392511,59.23385152434418,57.89379209964364,59.5270437213958,59.47615329813771,59.1605040108557,58.30986605956595,59.67689791134478,60.55436759152713,59.09910840019831,59.723603145976675,61.766975325219946,61.417646584989356,62.058049974989615,60.84021788235086,61.078725277124896,61.87111169919257,60.90695910159063,60.47552222490342,61.04827186970276,61.030759309008744,59.64709451867538,58.89393117339137,57.9977971217551,57.35827320389596,57.87402228564561,57.62721435637143,55.03580087020943,54.28039738856193,52.05506919453111,50.8753397957753,49.73360210660346,48.65840335881372,50.54176055273638,52.195761495638536,53.30214676851807,54.655135950369235,56.3080203544598,56.568047157824886,57.69157168425504,59.09255987477552,58.832819856660514,59.57938586617839,58.95475033601887,59.174550406266825,58.677668425121496,57.91834021862393,58.26011253509206,57.50635040568134,56.929984345706245,56.31991902213178,54.91914571411449,54.18557074823359,53.01564054585417,52.47429969289111,51.474752412299786,50.050549279869486,49.09596637059863,50.9736251452687,50.34623081063933,49.93065234269487,52.51559507828472,52.0578600782641,54.13690767271291,53.1549593089462,54.686345992678724,52.58091102508115,52.15374240635668,51.21836910928648,49.15980232488418,50.217268134928396,48.43664728502746,50.24821917577579,48.70298864262664,49.66415485327557,49.68112940234753,49.607095214390235,51.03752206574819,50.51407464364169,51.53289970006823,51.25450401295065,49.288426187446156,48.476947785798444,47.318698096017286,47.188286771326254,46.46748064698121,47.863363184693334,46.82349862525661,48.6793354329857,48.970292172045724,51.49296913254771,49.46169976294384,50.78341500018715,52.053852291217225,53.56903480848177,52.13143878357572,51.181691483376795,48.13011980371832,49.14892070758677,48.50623648938343,51.13402149223488,50.3737720101544,53.17722598360664,53.6827934068046,53.20969735728444,55.37685049063184,54.5189941247337,52.93946895185376,52.27177429000854,51.81380873753827,49.751917058878576,49.5155640395362,48.0998813529733,48.842697593772094,46.5916365218115,48.04160132580095,49.84851406700145,50.375282723228295,51.105287673581714,52.370463018136086,52.54048761211684,53.48244597583415,55.19930738679872,54.37355332488081,56.83284573898518,56.70811966548893,53.92929798660014,53.84891458405276,52.4845137804961,50.3762110523731,50.25384006265581,51.33514124859292,52.26044126219595,54.84968810354502,55.67524864329284,56.27560608851883,55.97806621307962,55.33639413750191,57.141112226161574,57.80359562029351,57.65703071819738,57.86877009901212,54.94453372889767,56.043975762999814,56.55604061982625,56.34899211722398,58.95569504815847,59.458117904342714,61.14668802778174,59.41011871897288,58.76120261869188,56.75458334871429,56.751857706073636,54.37419254070795,52.92147912009763,52.052313434409896,50.227467038845795,48.809565803486876,48.31006817887379,46.20646041643818,47.19643067699195,45.71014470449364,46.18218865030883,45.87969955472421,43.750441534589115,43.562523784006785,43.41977555734482,41.684779673409814,41.0611443905273,41.66787545762027,40.5727149163008,39.056050392681456,38.64470305063456,39.137429301518125,37.70628590549428,36.29095152999406,36.85527412898121,36.52695597793592,36.392559108576954,38.3813435890572,38.06536815356671,38.777306465962226,37.25076477136993,39.057944185748994,40.94379378825774,42.49509042087438,44.00721107656147,45.621582835893896,45.86393473731921,43.99761351923702,44.40217918340261,46.31038521378039,45.30742246790992,44.034759599308394,45.49080759544877,46.784392098586046,44.27143062044213,43.43118432226479,46.436372385718535,45.174645723623954,48.15292979669223,47.8572156943278,46.657365832571344,48.08987681175604,47.25938141555203,48.51214863074631,47.52312289961999,45.666671172584095,46.576475589795365,46.66135791235669,44.65756408241691,44.03214665424186,43.84832919656014,42.76630646514405,42.07383630895232,41.63140113648769,40.8308581078594,39.9065481656915,39.803336117965436,40.1321818845117,41.54244507991895,43.2718413363845,43.108409412479595,40.86112813715391,41.37600869868951,42.944217100840405,41.109039775668556,40.195925115392676,42.01444764757806,41.73916304203156,39.326014535826666,39.81098248484366,41.77507178866965,40.400949493093115,38.30412753378767,38.57584791588264,38.27732136042364,36.255198107478336,35.505480411373426,35.16314870098468,36.26968755590806,38.45886174204089,38.90460721006771,37.372634263475746,38.670142269417774,38.25940574319784,40.3671022285192,41.68356973247595,43.56081509480717,45.7848104624773,46.10371975698218,44.34595764984916,46.33180029215308,45.4519016533256,46.33316060855655,45.27648498104038,43.22223559193978,43.519964229037754,44.438675111123665,41.8282830778618,41.06361463326083,40.88789090697771,41.378007314153585,40.72382953244555,40.94972497426506,49.87261737292411,47.83412881507874,44.73501113704078,46.07191790565904,42.42067183207682,45.1910684616704,44.01678301067157,43.13432534784636,45.375865351782494,44.36080756130982,44.82182512016558,43.75840869639291,41.85505307416109,44.05072977095578,42.83535521272089,40.95758933887457,40.66601618698083,39.70698630540241,39.36018057769464,37.09721910998306,36.702061836717995,34.4181474353505,35.04548499562723,35.1426467597708,35.11937349681081,37.21069035791967,36.62496991605006,38.09807604362973,38.171967919518956,38.17615806359802,39.6487583548082,38.21345376019529,38.208627346299494,36.9046623277862,36.1835064482712,36.602815531203305,35.48173603384524,34.8937581325498,34.2247228131778,30.59307491083485,32.62664862759433,33.81799591442879,31.583522909037377,30.636607168387176,30.623501830821102,30.285561528199928,28.671202713637275,28.589898497422862,29.261837987312934,27.152070490605873,26.22832920849718,25.505012405112115,25.355217240944917,26.896976380526148,26.24268790218262,26.390647127494233,28.566249637163654,29.61608721617897,28.482688590943027,28.94617351934299,31.379212952716877,32.079546282029966,33.42964746593495,33.89725911267205,33.56963588891006,34.40115563309328,37.227696729730745,38.228640751556945,40.36895727702271,41.694659912149035,42.672032597376884,43.55775190708299,41.94290895196263,40.2023822653018,39.25119417055562,37.35181144005198,35.69668382803821,35.028373979271876,33.72838788356105,31.953677799031524,31.4897955815587,30.297065420863927,30.343519832868107,29.14761369906293,30.68591982257732,32.398718450238086,32.97571802911632,33.17394091191227,34.904436517991186,35.00995385802859,37.110728963255795,37.87658947184488,39.26802190708685,39.69692180452608,40.92094696388363,42.55976072150299,43.61074988155645,40.97079836323421,41.28677786793724,40.680556796973164,38.008585880456984,36.82549895150588,35.02663475093723,34.57413108782216,31.33690037723011,33.61368283389148,31.50360935514113,31.40000855644534,34.141766207392465,34.834742139097926,37.900882601871835,37.68517025446904,40.582999226261585,39.9827500170014,41.399490518237634,40.996465853347765,40.283790142128645,40.53459321414867,39.80248745904678,40.77463865290724,42.30975209700519,43.1090580221608,42.989501477839156,43.123995458255,43.61107058765056,40.880123008655275,41.060274743084456,38.2986533421655,36.33619214663649,33.598173155832484,33.503807049238794,30.682605125335108,30.337953997731923,30.1931461217534,32.554789804898796,35.20156485960713,36.42178043337049,37.77132754230136,39.38773022586062,38.10327879972464,39.096543593447834,36.98550507563422,36.51972281447603,37.353750519646475,35.780627929290674,36.88113706338932,37.9963269469642,38.57663986201839,38.13511769627644,40.466762953544624,39.522202538698174,41.95895098892543,40.17077490476243,43.379072594503036,42.463500391877865,40.14602670345173,40.19126726383845,38.2156600558402,37.98814098715668,36.165116281384215,35.4832362114089,35.27388039264329,35.5398846983607,33.321365333358465,32.34009995040732,33.978353840592824,31.887991574466596,31.648081037316118,32.586734690208054,34.51262380377909,33.82422511563067,35.123065346972375,32.97094060297612,32.50131257639108,32.634733909519994,32.4021479173915,34.58469177006006,31.468963176962028,31.009163804159332,29.728641344255703,30.104307776593192,31.610483603664154,28.591466148341837,27.15784204918083,29.047484751363967,28.48128306843771,30.112851739140144,28.071639998163445,28.2782868317061,26.725863302476988,26.472996305335286,26.796116554020628,27.748022220312897,28.900486942514604,28.533042001809225,28.700460570271193,31.50087627515144,30.686079128121637,32.81359957280178,33.596519289611024,32.73150497321186,34.12228294143296,36.153203479176724,36.08337130444334,35.47788429221683,38.36129138338918,39.81379269850065,38.44755886546011,38.68558889191351,42.26669428152458,42.32785411110267,41.98290627802594,44.17291211810924,45.85581332585406,44.70701000318836,43.03822789984264,41.86370431986172,39.745074078738895,38.494809120816505,37.761850145570044,34.41676225487762,33.67343536508682,31.369122569519014,30.292075700867063,29.414872127165825,27.244902755844354,27.803164946104623,25.058811540251117,26.52312030061231,29.520481865345293,27.128324934437217,25.51440934911615,28.34051716246931,28.80937333029236,26.40014408824935,27.410722849545685,30.018347013652082,29.36640402374274,31.602865818901275,29.679686909455125,28.148266357251583,29.64484344354321,28.512394991810883,28.15077884719272,29.52301933154863,31.304630784458663,31.72497162331046,32.19404589728409,34.42516472951683,35.44447827602954,36.15349026522936,38.20005647240129,39.28230873566328,37.36487280707686,39.00215376914341,42.205024111208104,40.556482313374495,38.557599174504155,37.578778494214376,34.71283988984146,33.607494915174904,31.196810709872,33.65011349034376,35.77368694180225,32.344888652754996,32.54270774297745,34.79295340260072,33.857678470738186,30.88754767741964,33.13055931513758,35.169944325416246,32.482459182776424,31.058483996312642,33.426355053890354,35.11768443698289,37.7198175625706,37.19612594379605,39.62125515117866,40.25375013546195,41.98165313861732,40.84249486773098,43.23329286967005,43.56699596792454,41.49869819861207,39.901348585342625,38.333399216462965,37.12707951116075,38.51285479451929,36.19496385638175,38.4951461871975,40.265387756363964,38.162320540285144,37.96173658797668,39.19283270614734,40.87333853994119,41.76874420901099,42.19550296159851,43.43004566325821,45.23878157447414,45.08324989915489,45.53003696285158,46.27898500506504,46.31762456845429,45.88012586862115]]}]}